%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 15:33:57 EDT 2022

% Result   : Theorem 13.37s 3.64s
% Output   : Proof 48.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun  8 19:01:03 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.59/0.58          ____       _                          
% 0.59/0.58    ___  / __ \_____(_)___  ________  __________
% 0.59/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.59/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.59/0.58  
% 0.59/0.58  A Theorem Prover for First-Order Logic
% 0.59/0.58  (ePrincess v.1.0)
% 0.59/0.58  
% 0.59/0.58  (c) Philipp Rümmer, 2009-2015
% 0.59/0.58  (c) Peter Backeman, 2014-2015
% 0.59/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.58  Bug reports to peter@backeman.se
% 0.59/0.58  
% 0.59/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.58  
% 0.59/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.59/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.57/1.12  Prover 0: Preprocessing ...
% 4.32/1.50  Prover 0: Constructing countermodel ...
% 13.37/3.63  Prover 0: proved (3004ms)
% 13.37/3.64  
% 13.37/3.64  No countermodel exists, formula is valid
% 13.37/3.64  % SZS status Theorem for theBenchmark
% 13.37/3.64  
% 13.37/3.64  Generating proof ... found it (size 40498)
% 39.57/12.52  
% 39.57/12.52  % SZS output start Proof for theBenchmark
% 39.57/12.53  Assumed formulas after preprocessing and simplification: 
% 39.57/12.53  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] :  ? [v43] :  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] :  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] :  ? [v75] :  ? [v76] :  ? [v77] :  ? [v78] :  ? [v79] :  ? [v80] :  ? [v81] :  ? [v82] :  ? [v83] :  ? [v84] :  ? [v85] :  ? [v86] :  ? [v87] :  ? [v88] :  ? [v89] :  ? [v90] :  ? [v91] :  ? [v92] :  ? [v93] :  ? [v94] :  ? [v95] :  ? [v96] :  ? [v97] :  ? [v98] : ( ~ (v20 = v19) &  ~ (v20 = v18) &  ~ (v20 = v17) &  ~ (v20 = v16) &  ~ (v20 = v12) &  ~ (v20 = v8) &  ~ (v20 = v3) &  ~ (v20 = e0) &  ~ (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v15) &  ~ (v19 = v7) &  ~ (v19 = v2) &  ~ (v19 = e4) &  ~ (v19 = e0) &  ~ (v18 = v17) &  ~ (v18 = v14) &  ~ (v18 = v11) &  ~ (v18 = v6) &  ~ (v18 = v1) &  ~ (v18 = e0) &  ~ (v17 = v13) &  ~ (v17 = v10) &  ~ (v17 = v5) &  ~ (v17 = v0) &  ~ (v17 = e0) &  ~ (v16 = v15) &  ~ (v16 = v14) &  ~ (v16 = v13) &  ~ (v16 = v12) &  ~ (v16 = v8) &  ~ (v16 = v3) &  ~ (v16 = e1) &  ~ (v15 = v14) &  ~ (v15 = v13) &  ~ (v15 = v7) &  ~ (v15 = v2) &  ~ (v15 = e4) &  ~ (v15 = e1) &  ~ (v14 = v13) &  ~ (v14 = v11) &  ~ (v14 = v6) &  ~ (v14 = v1) &  ~ (v14 = e1) &  ~ (v13 = v10) &  ~ (v13 = v5) &  ~ (v13 = v0) &  ~ (v13 = e1) &  ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v8) &  ~ (v12 = v3) &  ~ (v12 = e4) &  ~ (v12 = e3) &  ~ (v11 = v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v11 = e4) &  ~ (v11 = e3) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v10 = e4) &  ~ (v10 = e3) &  ~ (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~ (v9 = e3) &  ~ (v9 = e1) &  ~ (v9 = e0) &  ~ (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v7 = e4) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v4 = e3) &  ~ (v4 = e1) &  ~ (v4 = e0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v2 = e4) &  ~ (v1 = v0) &  ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~ (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & op(v20, e4) = v98 & op(v20, e3) = v97 & op(v19, e4) = v96 & op(v19, e2) = v95 & op(v18, e4) = v94 & op(v18, e1) = v93 & op(v17, e4) = v92 & op(v17, e0) = v91 & op(v16, e3) = v90 & op(v15, e3) = v89 & op(v15, e2) = v88 & op(v14, e3) = v87 & op(v14, e1) = v86 & op(v13, e3) = v85 & op(v13, e0) = v84 & op(v12, e3) = v82 & op(v12, e2) = v83 & op(v11, e2) = v81 & op(v11, e1) = v80 & op(v10, e2) = v79 & op(v10, e0) = v78 & op(v9, e4) = v76 & op(v9, e1) = v77 & op(v8, e3) = v74 & op(v8, e1) = v75 & op(v7, e2) = v72 & op(v7, e1) = v73 & op(v6, e1) = v71 & op(v5, e1) = v70 & op(v5, e0) = v69 & op(v4, e4) = v67 & op(v4, e0) = v68 & op(v3, e3) = v65 & op(v3, e0) = v66 & op(v2, e2) = v63 & op(v2, e0) = v64 & op(v1, e1) = v61 & op(v1, e0) = v62 & op(v0, e0) = v60 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, v20) = v54 & op(e4, v19) = v45 & op(e4, v18) = v37 & op(e4, v17) = v28 & op(e4, v9) = v59 & op(e4, v4) = v57 & op(e4, unit) = e4 & op(e4, e4) = e0 & op(e4, e3) = v20 & op(e4, e2) = v19 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, v20) = v55 & op(e3, v16) = v53 & op(e3, v15) = v43 & op(e3, v14) = v35 & op(e3, v13) = v26 & op(e3, v12) = v52 & op(e3, v8) = v50 & op(e3, v3) = v48 & op(e3, unit) = e3 & op(e3, e4) = e1 & op(e3, e3) = v16 & op(e3, e2) = v15 & op(e3, e1) = v14 & op(e3, e0) = v13 & op(e2, v19) = v46 & op(e2, v15) = v44 & op(e2, v12) = v51 & op(e2, v11) = v33 & op(e2, v10) = v24 & op(e2, v7) = v42 & op(e2, v2) = v40 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = v12 & op(e2, e2) = e4 & op(e2, e1) = v11 & op(e2, e0) = v10 & op(e1, v18) = v38 & op(e1, v14) = v36 & op(e1, v11) = v34 & op(e1, v9) = v58 & op(e1, v8) = v49 & op(e1, v7) = v41 & op(e1, v6) = v32 & op(e1, v5) = v22 & op(e1, v1) = v31 & op(e1, unit) = e1 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, v17) = v29 & op(e0, v13) = v27 & op(e0, v10) = v25 & op(e0, v5) = v23 & op(e0, v4) = v56 & op(e0, v3) = v47 & op(e0, v2) = v39 & op(e0, v1) = v30 & op(e0, v0) = v21 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 &  ! [v99] :  ! [v100] :  ! [v101] :  ! [v102] : (v100 = v99 |  ~ (op(v102, v101) = v100) |  ~ (op(v102, v101) = v99)) & (v20 = e4 | v20 = e3 | v20 = e2 | v20 = e1) & (v20 = e4 | v18 = e4 | v17 = e4) & (v20 = e4 | v16 = e4 | v8 = e4 | v3 = e4) & (v20 = e3 | v19 = e3 | v18 = e3 | v17 = e3) & (v20 = e3 | v16 = e3 | v8 = e3 | v3 = e3) & (v20 = e2 | v19 = e2 | v18 = e2 | v17 = e2) & (v20 = e2 | v16 = e2 | v12 = e2 | v8 = e2 | v3 = e2) & (v20 = e2 | (v59 = e1 &  ~ (v58 = e4)) | (v57 = e0 &  ~ (v56 = e4)) | (v18 = e3 &  ~ (v14 = e4))) & (v20 = e1 | v19 = e1 | v18 = e1 | v17 = e1) & (v20 = e1 | v12 = e1 | v8 = e1 | v3 = e1) & (v19 = e3 | v19 = e2 | v19 = e1) & (v19 = e3 | v15 = e3 | v7 = e3 | v2 = e3) & (v19 = e2 | v15 = e2 | v7 = e2 | v2 = e2) & (v19 = e1 | v7 = e1 | v2 = e1) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1) & (v18 = e4 | v14 = e4 | v6 = e4 | v1 = e4) & (v18 = e3 | v14 = e3 | v6 = e3 | v1 = e3) & (v18 = e2 | v14 = e2 | v11 = e2 | v6 = e2 | v1 = e2) & (v18 = e1 | v11 = e1 | v6 = e1 | v1 = e1) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1) & (v17 = e4 | v13 = e4 | v5 = e4 | v0 = e4) & (v17 = e3 | v13 = e3 | v5 = e3 | v0 = e3) & (v17 = e2 | v13 = e2 | v10 = e2 | v5 = e2 | v0 = e2) & (v17 = e1 | v10 = e1 | v5 = e1 | v0 = e1) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e0) & (v16 = e4 | v14 = e4 | v13 = e4) & (v16 = e3 | v15 = e3 | v14 = e3 | v13 = e3) & (v16 = e2 | v15 = e2 | v14 = e2 | v13 = e2) & (v16 = e0 | v15 = e0 | v14 = e0 | v13 = e0) & (v16 = e0 | v12 = e0 | v8 = e0 | v3 = e0) & (v15 = e3 | v15 = e2 | v15 = e0) & (v15 = e0 | v7 = e0 | v2 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e0) & (v14 = e0 | v11 = e0 | v6 = e0 | v1 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e0) & (v13 = e0 | v10 = e0 | v5 = e0 | v0 = e0) & (v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e2 | v11 = e2 | v10 = e2) & (v12 = e1 | v11 = e1 | v10 = e1) & (v12 = e0 | v11 = e0 | v10 = e0) & (v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e4 | v9 = e2) & (v9 = e4 | v8 = e4 | v6 = e4 | v5 = e4) & (v9 = e4 | v4 = e4) & (v9 = e2 | v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2) & (v9 = e2 | v4 = e2) & (v8 = e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3) & (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1) & (v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e2) & (v4 = e4 | v3 = e4 | v1 = e4 | v0 = e4) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v97 = e4 &  ~ (v98 = e3) &  ~ (v20 = e1)) | (v95 = e4 &  ~ (v96 = e2) &  ~ (v19 = e3)) | (v93 = e4 &  ~ (v94 = e1) &  ~ (v18 = v9)) | (v91 = e4 &  ~ (v92 = e0) &  ~ (v17 = v4)) | (v88 = e3 &  ~ (v89 = e2) &  ~ (v15 = v12)) | (v86 = e3 &  ~ (v87 = e1) &  ~ (v14 = v8)) | (v84 = e3 &  ~ (v85 = e0) &  ~ (v13 = v3)) | (v82 = e2 &  ~ (v83 = e3) &  ~ (v15 = v12)) | (v80 = e2 &  ~ (v81 = e1) &  ~ (v11 = v7)) | (v78 = e2 &  ~ (v79 = e0) &  ~ (v10 = v2)) | (v76 = e1 &  ~ (v77 = e4) &  ~ (v18 = v9)) | (v74 = e1 &  ~ (v75 = e3) &  ~ (v14 = v8)) | (v72 = e1 &  ~ (v73 = e2) &  ~ (v11 = v7)) | (v69 = e1 &  ~ (v70 = e0) &  ~ (v5 = v1)) | (v67 = e0 &  ~ (v68 = e4) &  ~ (v17 = v4)) | (v65 = e0 &  ~ (v66 = e3) &  ~ (v13 = v3)) | (v63 = e0 &  ~ (v64 = e2) &  ~ (v10 = v2)) | (v61 = e0 &  ~ (v62 = e1) &  ~ (v5 = v1))) & ((v55 = e4 &  ~ (v54 = e3)) | (v52 = e2 &  ~ (v51 = e3)) | (v50 = e1 &  ~ (v49 = e3)) | (v48 = e0 &  ~ (v47 = e3))) & ((v46 = e4 &  ~ (v45 = e2)) | (v44 = e3 &  ~ (v43 = e2)) | (v42 = e1 &  ~ (v41 = e2)) | (v40 = e0 &  ~ (v39 = e2))) & ((v38 = e4 &  ~ (v37 = e1)) | (v36 = e3 &  ~ (v35 = e1)) | (v34 = e2 &  ~ (v33 = e1)) | (v31 = e0 &  ~ (v30 = e1))) & ((v29 = e4 &  ~ (v28 = e0)) | (v27 = e3 &  ~ (v26 = e0)) | (v25 = e2 &  ~ (v24 = e0)) | (v23 = e1 &  ~ (v22 = e0))))
% 39.91/12.59  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98 yields:
% 39.91/12.59  | (1)  ~ (all_0_78_78 = all_0_79_79) &  ~ (all_0_78_78 = all_0_80_80) &  ~ (all_0_78_78 = all_0_81_81) &  ~ (all_0_78_78 = all_0_82_82) &  ~ (all_0_78_78 = all_0_86_86) &  ~ (all_0_78_78 = all_0_90_90) &  ~ (all_0_78_78 = all_0_95_95) &  ~ (all_0_78_78 = e0) &  ~ (all_0_79_79 = all_0_80_80) &  ~ (all_0_79_79 = all_0_81_81) &  ~ (all_0_79_79 = all_0_83_83) &  ~ (all_0_79_79 = all_0_91_91) &  ~ (all_0_79_79 = all_0_96_96) &  ~ (all_0_79_79 = e4) &  ~ (all_0_79_79 = e0) &  ~ (all_0_80_80 = all_0_81_81) &  ~ (all_0_80_80 = all_0_84_84) &  ~ (all_0_80_80 = all_0_87_87) &  ~ (all_0_80_80 = all_0_92_92) &  ~ (all_0_80_80 = all_0_97_97) &  ~ (all_0_80_80 = e0) &  ~ (all_0_81_81 = all_0_85_85) &  ~ (all_0_81_81 = all_0_88_88) &  ~ (all_0_81_81 = all_0_93_93) &  ~ (all_0_81_81 = all_0_98_98) &  ~ (all_0_81_81 = e0) &  ~ (all_0_82_82 = all_0_83_83) &  ~ (all_0_82_82 = all_0_84_84) &  ~ (all_0_82_82 = all_0_85_85) &  ~ (all_0_82_82 = all_0_86_86) &  ~ (all_0_82_82 = all_0_90_90) &  ~ (all_0_82_82 = all_0_95_95) &  ~ (all_0_82_82 = e1) &  ~ (all_0_83_83 = all_0_84_84) &  ~ (all_0_83_83 = all_0_85_85) &  ~ (all_0_83_83 = all_0_91_91) &  ~ (all_0_83_83 = all_0_96_96) &  ~ (all_0_83_83 = e4) &  ~ (all_0_83_83 = e1) &  ~ (all_0_84_84 = all_0_85_85) &  ~ (all_0_84_84 = all_0_87_87) &  ~ (all_0_84_84 = all_0_92_92) &  ~ (all_0_84_84 = all_0_97_97) &  ~ (all_0_84_84 = e1) &  ~ (all_0_85_85 = all_0_88_88) &  ~ (all_0_85_85 = all_0_93_93) &  ~ (all_0_85_85 = all_0_98_98) &  ~ (all_0_85_85 = e1) &  ~ (all_0_86_86 = all_0_87_87) &  ~ (all_0_86_86 = all_0_88_88) &  ~ (all_0_86_86 = all_0_90_90) &  ~ (all_0_86_86 = all_0_95_95) &  ~ (all_0_86_86 = e4) &  ~ (all_0_86_86 = e3) &  ~ (all_0_87_87 = all_0_88_88) &  ~ (all_0_87_87 = all_0_92_92) &  ~ (all_0_87_87 = all_0_97_97) &  ~ (all_0_87_87 = e4) &  ~ (all_0_87_87 = e3) &  ~ (all_0_88_88 = all_0_93_93) &  ~ (all_0_88_88 = all_0_98_98) &  ~ (all_0_88_88 = e4) &  ~ (all_0_88_88 = e3) &  ~ (all_0_89_89 = all_0_90_90) &  ~ (all_0_89_89 = all_0_91_91) &  ~ (all_0_89_89 = all_0_92_92) &  ~ (all_0_89_89 = all_0_93_93) &  ~ (all_0_89_89 = all_0_94_94) &  ~ (all_0_89_89 = e3) &  ~ (all_0_89_89 = e1) &  ~ (all_0_89_89 = e0) &  ~ (all_0_90_90 = all_0_91_91) &  ~ (all_0_90_90 = all_0_92_92) &  ~ (all_0_90_90 = all_0_93_93) &  ~ (all_0_90_90 = all_0_95_95) &  ~ (all_0_91_91 = all_0_92_92) &  ~ (all_0_91_91 = all_0_93_93) &  ~ (all_0_91_91 = all_0_96_96) &  ~ (all_0_91_91 = e4) &  ~ (all_0_92_92 = all_0_93_93) &  ~ (all_0_92_92 = all_0_97_97) &  ~ (all_0_93_93 = all_0_98_98) &  ~ (all_0_94_94 = all_0_95_95) &  ~ (all_0_94_94 = all_0_96_96) &  ~ (all_0_94_94 = all_0_97_97) &  ~ (all_0_94_94 = all_0_98_98) &  ~ (all_0_94_94 = e3) &  ~ (all_0_94_94 = e1) &  ~ (all_0_94_94 = e0) &  ~ (all_0_95_95 = all_0_96_96) &  ~ (all_0_95_95 = all_0_97_97) &  ~ (all_0_95_95 = all_0_98_98) &  ~ (all_0_96_96 = all_0_97_97) &  ~ (all_0_96_96 = all_0_98_98) &  ~ (all_0_96_96 = e4) &  ~ (all_0_97_97 = all_0_98_98) &  ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~ (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & op(all_0_78_78, e4) = all_0_0_0 & op(all_0_78_78, e3) = all_0_1_1 & op(all_0_79_79, e4) = all_0_2_2 & op(all_0_79_79, e2) = all_0_3_3 & op(all_0_80_80, e4) = all_0_4_4 & op(all_0_80_80, e1) = all_0_5_5 & op(all_0_81_81, e4) = all_0_6_6 & op(all_0_81_81, e0) = all_0_7_7 & op(all_0_82_82, e3) = all_0_8_8 & op(all_0_83_83, e3) = all_0_9_9 & op(all_0_83_83, e2) = all_0_10_10 & op(all_0_84_84, e3) = all_0_11_11 & op(all_0_84_84, e1) = all_0_12_12 & op(all_0_85_85, e3) = all_0_13_13 & op(all_0_85_85, e0) = all_0_14_14 & op(all_0_86_86, e3) = all_0_16_16 & op(all_0_86_86, e2) = all_0_15_15 & op(all_0_87_87, e2) = all_0_17_17 & op(all_0_87_87, e1) = all_0_18_18 & op(all_0_88_88, e2) = all_0_19_19 & op(all_0_88_88, e0) = all_0_20_20 & op(all_0_89_89, e4) = all_0_22_22 & op(all_0_89_89, e1) = all_0_21_21 & op(all_0_90_90, e3) = all_0_24_24 & op(all_0_90_90, e1) = all_0_23_23 & op(all_0_91_91, e2) = all_0_26_26 & op(all_0_91_91, e1) = all_0_25_25 & op(all_0_92_92, e1) = all_0_27_27 & op(all_0_93_93, e1) = all_0_28_28 & op(all_0_93_93, e0) = all_0_29_29 & op(all_0_94_94, e4) = all_0_31_31 & op(all_0_94_94, e0) = all_0_30_30 & op(all_0_95_95, e3) = all_0_33_33 & op(all_0_95_95, e0) = all_0_32_32 & op(all_0_96_96, e2) = all_0_35_35 & op(all_0_96_96, e0) = all_0_34_34 & op(all_0_97_97, e1) = all_0_37_37 & op(all_0_97_97, e0) = all_0_36_36 & op(all_0_98_98, e0) = all_0_38_38 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, all_0_78_78) = all_0_44_44 & op(e4, all_0_79_79) = all_0_53_53 & op(e4, all_0_80_80) = all_0_61_61 & op(e4, all_0_81_81) = all_0_70_70 & op(e4, all_0_89_89) = all_0_39_39 & op(e4, all_0_94_94) = all_0_41_41 & op(e4, unit) = e4 & op(e4, e4) = e0 & op(e4, e3) = all_0_78_78 & op(e4, e2) = all_0_79_79 & op(e4, e1) = all_0_80_80 & op(e4, e0) = all_0_81_81 & op(e3, all_0_78_78) = all_0_43_43 & op(e3, all_0_82_82) = all_0_45_45 & op(e3, all_0_83_83) = all_0_55_55 & op(e3, all_0_84_84) = all_0_63_63 & op(e3, all_0_85_85) = all_0_72_72 & op(e3, all_0_86_86) = all_0_46_46 & op(e3, all_0_90_90) = all_0_48_48 & op(e3, all_0_95_95) = all_0_50_50 & op(e3, unit) = e3 & op(e3, e4) = e1 & op(e3, e3) = all_0_82_82 & op(e3, e2) = all_0_83_83 & op(e3, e1) = all_0_84_84 & op(e3, e0) = all_0_85_85 & op(e2, all_0_79_79) = all_0_52_52 & op(e2, all_0_83_83) = all_0_54_54 & op(e2, all_0_86_86) = all_0_47_47 & op(e2, all_0_87_87) = all_0_65_65 & op(e2, all_0_88_88) = all_0_74_74 & op(e2, all_0_91_91) = all_0_56_56 & op(e2, all_0_96_96) = all_0_58_58 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = all_0_86_86 & op(e2, e2) = e4 & op(e2, e1) = all_0_87_87 & op(e2, e0) = all_0_88_88 & op(e1, all_0_80_80) = all_0_60_60 & op(e1, all_0_84_84) = all_0_62_62 & op(e1, all_0_87_87) = all_0_64_64 & op(e1, all_0_89_89) = all_0_40_40 & op(e1, all_0_90_90) = all_0_49_49 & op(e1, all_0_91_91) = all_0_57_57 & op(e1, all_0_92_92) = all_0_66_66 & op(e1, all_0_93_93) = all_0_76_76 & op(e1, all_0_97_97) = all_0_67_67 & op(e1, unit) = e1 & op(e1, e4) = all_0_89_89 & op(e1, e3) = all_0_90_90 & op(e1, e2) = all_0_91_91 & op(e1, e1) = all_0_92_92 & op(e1, e0) = all_0_93_93 & op(e0, all_0_81_81) = all_0_69_69 & op(e0, all_0_85_85) = all_0_71_71 & op(e0, all_0_88_88) = all_0_73_73 & op(e0, all_0_93_93) = all_0_75_75 & op(e0, all_0_94_94) = all_0_42_42 & op(e0, all_0_95_95) = all_0_51_51 & op(e0, all_0_96_96) = all_0_59_59 & op(e0, all_0_97_97) = all_0_68_68 & op(e0, all_0_98_98) = all_0_77_77 & op(e0, unit) = e0 & op(e0, e4) = all_0_94_94 & op(e0, e3) = all_0_95_95 & op(e0, e2) = all_0_96_96 & op(e0, e1) = all_0_97_97 & op(e0, e0) = all_0_98_98 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0)) & (all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1) & (all_0_78_78 = e4 | all_0_80_80 = e4 | all_0_81_81 = e4) & (all_0_78_78 = e4 | all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4) & (all_0_78_78 = e3 | all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3) & (all_0_78_78 = e3 | all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3) & (all_0_78_78 = e2 | all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2) & (all_0_78_78 = e2 | all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2) & (all_0_78_78 = e2 | (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))) & (all_0_78_78 = e1 | all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1) & (all_0_78_78 = e1 | all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1) & (all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1) & (all_0_79_79 = e3 | all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3) & (all_0_79_79 = e2 | all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2) & (all_0_79_79 = e1 | all_0_91_91 = e1 | all_0_96_96 = e1) & (all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1) & (all_0_80_80 = e4 | all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4) & (all_0_80_80 = e3 | all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3) & (all_0_80_80 = e2 | all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2) & (all_0_80_80 = e1 | all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1) & (all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1) & (all_0_81_81 = e4 | all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4) & (all_0_81_81 = e3 | all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3) & (all_0_81_81 = e2 | all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2) & (all_0_81_81 = e1 | all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1) & (all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e0) & (all_0_82_82 = e4 | all_0_84_84 = e4 | all_0_85_85 = e4) & (all_0_82_82 = e3 | all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3) & (all_0_82_82 = e2 | all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2) & (all_0_82_82 = e0 | all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0) & (all_0_82_82 = e0 | all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0) & (all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e0) & (all_0_83_83 = e0 | all_0_91_91 = e0 | all_0_96_96 = e0) & (all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e2 | all_0_84_84 = e0) & (all_0_84_84 = e0 | all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0) & (all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e2 | all_0_85_85 = e0) & (all_0_85_85 = e0 | all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0) & (all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0) & (all_0_86_86 = e2 | all_0_87_87 = e2 | all_0_88_88 = e2) & (all_0_86_86 = e1 | all_0_87_87 = e1 | all_0_88_88 = e1) & (all_0_86_86 = e0 | all_0_87_87 = e0 | all_0_88_88 = e0) & (all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0) & (all_0_88_88 = e2 | all_0_88_88 = e1 | all_0_88_88 = e0) & (all_0_89_89 = e4 | all_0_89_89 = e2) & (all_0_89_89 = e4 | all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4) & (all_0_89_89 = e4 | all_0_94_94 = e4) & (all_0_89_89 = e2 | all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2) & (all_0_89_89 = e2 | all_0_94_94 = e2) & (all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e2 | all_0_90_90 = e1 | all_0_90_90 = e0) & (all_0_90_90 = e3 | all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3) & (all_0_90_90 = e1 | all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1) & (all_0_90_90 = e0 | all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0) & (all_0_91_91 = e3 | all_0_91_91 = e2 | all_0_91_91 = e1 | all_0_91_91 = e0) & (all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e2 | all_0_92_92 = e1 | all_0_92_92 = e0) & (all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e2 | all_0_93_93 = e1 | all_0_93_93 = e0) & (all_0_94_94 = e4 | all_0_94_94 = e2) & (all_0_94_94 = e4 | all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4) & (all_0_94_94 = e2 | all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2) & (all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e2 | all_0_95_95 = e1 | all_0_95_95 = e0) & (all_0_95_95 = e3 | all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3) & (all_0_95_95 = e1 | all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1) & (all_0_95_95 = e0 | all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0) & (all_0_96_96 = e3 | all_0_96_96 = e2 | all_0_96_96 = e1 | all_0_96_96 = e0) & (all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e2 | all_0_97_97 = e1 | all_0_97_97 = e0) & (all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e2 | all_0_98_98 = e1 | all_0_98_98 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)) | (all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_33_33 = e0 &  ~ (all_0_32_32 = e3) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_35_35 = e0 &  ~ (all_0_34_34 = e2) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_37_37 = e0 &  ~ (all_0_36_36 = e1) &  ~ (all_0_93_93 = all_0_97_97))) & ((all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)) | (all_0_50_50 = e0 &  ~ (all_0_51_51 = e3))) & ((all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)) | (all_0_58_58 = e0 &  ~ (all_0_59_59 = e2))) & ((all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)) | (all_0_67_67 = e0 &  ~ (all_0_68_68 = e1))) & ((all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)) | (all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)))
% 39.91/12.61  |
% 39.91/12.61  | Applying alpha-rule on (1) yields:
% 39.91/12.61  | (2) all_0_84_84 = e0 | all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 39.91/12.61  | (3) op(e1, e2) = all_0_91_91
% 39.91/12.61  | (4) all_0_78_78 = e4 | all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 39.91/12.61  | (5)  ~ (all_0_81_81 = all_0_98_98)
% 39.91/12.61  | (6) op(e2, e2) = e4
% 39.91/12.61  | (7)  ~ (all_0_82_82 = all_0_84_84)
% 39.91/12.61  | (8) op(e3, e0) = all_0_85_85
% 39.91/12.61  | (9)  ~ (all_0_79_79 = e0)
% 39.91/12.61  | (10) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e0
% 39.91/12.61  | (11) op(e4, unit) = e4
% 39.91/12.61  | (12) op(all_0_85_85, e3) = all_0_13_13
% 39.91/12.61  | (13)  ~ (all_0_93_93 = all_0_98_98)
% 39.91/12.61  | (14) op(e2, e1) = all_0_87_87
% 39.91/12.61  | (15)  ~ (all_0_79_79 = all_0_81_81)
% 39.91/12.61  | (16) op(e1, all_0_87_87) = all_0_64_64
% 39.91/12.61  | (17)  ~ (all_0_79_79 = all_0_91_91)
% 39.91/12.61  | (18) op(all_0_87_87, e2) = all_0_17_17
% 39.91/12.61  | (19) op(all_0_81_81, e4) = all_0_6_6
% 39.91/12.61  | (20)  ~ (e3 = e1)
% 39.91/12.61  | (21) op(e1, all_0_93_93) = all_0_76_76
% 39.91/12.61  | (22)  ~ (all_0_96_96 = all_0_97_97)
% 39.91/12.61  | (23)  ~ (e4 = e0)
% 39.91/12.61  | (24) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1
% 39.91/12.61  | (25) op(all_0_93_93, e1) = all_0_28_28
% 39.91/12.61  | (26) op(e0, all_0_85_85) = all_0_71_71
% 39.91/12.61  | (27) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e2 | all_0_90_90 = e1 | all_0_90_90 = e0
% 39.91/12.61  | (28)  ~ (all_0_94_94 = all_0_97_97)
% 39.91/12.61  | (29) op(all_0_83_83, e3) = all_0_9_9
% 39.91/12.61  | (30) op(all_0_93_93, e0) = all_0_29_29
% 39.91/12.61  | (31)  ~ (all_0_88_88 = all_0_98_98)
% 39.91/12.61  | (32)  ~ (all_0_89_89 = all_0_93_93)
% 39.91/12.62  | (33) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)) | (all_0_58_58 = e0 &  ~ (all_0_59_59 = e2))
% 39.91/12.62  | (34)  ~ (all_0_90_90 = all_0_93_93)
% 39.91/12.62  | (35) op(e1, all_0_90_90) = all_0_49_49
% 39.91/12.62  | (36) op(unit, e1) = e1
% 39.91/12.62  | (37) op(all_0_78_78, e4) = all_0_0_0
% 39.91/12.62  | (38) op(e0, e0) = all_0_98_98
% 39.91/12.62  | (39) op(e4, all_0_80_80) = all_0_61_61
% 39.91/12.62  | (40)  ~ (all_0_94_94 = all_0_96_96)
% 39.91/12.62  | (41) all_0_82_82 = e2 | all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 39.91/12.62  | (42) all_0_86_86 = e1 | all_0_87_87 = e1 | all_0_88_88 = e1
% 39.91/12.62  | (43)  ~ (all_0_96_96 = all_0_98_98)
% 39.91/12.62  | (44)  ~ (all_0_91_91 = all_0_93_93)
% 39.91/12.62  | (45) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1
% 39.91/12.62  | (46) all_0_89_89 = e4 | all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 39.91/12.62  | (47) all_0_88_88 = e2 | all_0_88_88 = e1 | all_0_88_88 = e0
% 39.91/12.62  | (48) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e2 | all_0_98_98 = e1 | all_0_98_98 = e0
% 39.91/12.62  | (49)  ~ (all_0_80_80 = all_0_92_92)
% 39.91/12.62  | (50)  ~ (e3 = e0)
% 39.91/12.62  | (51) op(e1, all_0_91_91) = all_0_57_57
% 39.91/12.62  | (52) all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e0
% 39.91/12.62  | (53)  ~ (all_0_89_89 = all_0_94_94)
% 39.91/12.62  | (54) op(all_0_84_84, e3) = all_0_11_11
% 39.91/12.62  | (55)  ~ (all_0_94_94 = all_0_95_95)
% 39.91/12.62  | (56) all_0_78_78 = e4 | all_0_80_80 = e4 | all_0_81_81 = e4
% 39.91/12.62  | (57) op(e0, unit) = e0
% 39.91/12.62  | (58) op(all_0_96_96, e2) = all_0_35_35
% 39.91/12.62  | (59) op(e0, e2) = all_0_96_96
% 39.91/12.62  | (60) op(e1, all_0_89_89) = all_0_40_40
% 39.91/12.62  | (61) op(e3, e3) = all_0_82_82
% 39.91/12.62  | (62) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 39.91/12.62  | (63)  ~ (all_0_79_79 = all_0_80_80)
% 39.91/12.62  | (64)  ~ (all_0_91_91 = all_0_96_96)
% 39.91/12.62  | (65) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e2 | all_0_93_93 = e1 | all_0_93_93 = e0
% 39.91/12.62  | (66)  ~ (all_0_78_78 = all_0_79_79)
% 39.91/12.62  | (67)  ~ (all_0_78_78 = all_0_80_80)
% 39.91/12.62  | (68) op(e4, all_0_81_81) = all_0_70_70
% 39.91/12.62  | (69) op(e0, all_0_97_97) = all_0_68_68
% 39.91/12.62  | (70) all_0_78_78 = e2 | (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 39.91/12.62  | (71) op(all_0_79_79, e2) = all_0_3_3
% 39.91/12.62  | (72)  ~ (all_0_90_90 = all_0_92_92)
% 39.91/12.62  | (73)  ~ (all_0_80_80 = all_0_87_87)
% 39.91/12.62  | (74) op(all_0_86_86, e3) = all_0_16_16
% 39.91/12.62  | (75)  ~ (all_0_85_85 = all_0_98_98)
% 39.91/12.62  | (76)  ~ (e2 = e0)
% 39.91/12.62  | (77) op(all_0_95_95, e3) = all_0_33_33
% 39.91/12.62  | (78)  ~ (all_0_85_85 = all_0_88_88)
% 39.91/12.62  | (79)  ~ (e4 = e2)
% 39.91/12.62  | (80)  ~ (all_0_86_86 = all_0_88_88)
% 39.91/12.62  | (81)  ~ (all_0_82_82 = all_0_86_86)
% 39.91/12.62  | (82)  ~ (all_0_78_78 = all_0_86_86)
% 39.91/12.62  | (83) op(e2, all_0_87_87) = all_0_65_65
% 39.91/12.62  | (84) all_0_96_96 = e3 | all_0_96_96 = e2 | all_0_96_96 = e1 | all_0_96_96 = e0
% 39.91/12.62  | (85)  ~ (all_0_78_78 = all_0_90_90)
% 39.91/12.62  | (86)  ~ (all_0_78_78 = e0)
% 39.91/12.62  | (87)  ~ (all_0_84_84 = all_0_92_92)
% 39.91/12.62  | (88) op(all_0_96_96, e0) = all_0_34_34
% 39.91/12.62  | (89) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)) | (all_0_75_75 = e1 &  ~ (all_0_76_76 = e0))
% 39.91/12.62  | (90) op(all_0_82_82, e3) = all_0_8_8
% 39.91/12.62  | (91)  ~ (all_0_86_86 = all_0_95_95)
% 39.91/12.62  | (92) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e2 | all_0_84_84 = e0
% 39.91/12.62  | (93)  ~ (all_0_88_88 = e4)
% 39.91/12.62  | (94)  ~ (all_0_87_87 = all_0_92_92)
% 39.91/12.62  | (95) op(all_0_98_98, e0) = all_0_38_38
% 39.91/12.62  | (96) op(all_0_85_85, e0) = all_0_14_14
% 39.91/12.63  | (97) all_0_94_94 = e2 | all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 39.91/12.63  | (98) op(all_0_90_90, e1) = all_0_23_23
% 39.91/12.63  | (99) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e2 | all_0_95_95 = e1 | all_0_95_95 = e0
% 39.91/12.63  | (100) all_0_89_89 = e4 | all_0_89_89 = e2
% 39.91/12.63  | (101) all_0_78_78 = e2 | all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 39.91/12.63  | (102) all_0_95_95 = e0 | all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 39.91/12.63  | (103)  ~ (all_0_90_90 = all_0_91_91)
% 39.91/12.63  | (104) op(e4, all_0_78_78) = all_0_44_44
% 39.91/12.63  | (105)  ~ (all_0_95_95 = all_0_97_97)
% 39.91/12.63  | (106) all_0_78_78 = e3 | all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 39.91/12.63  | (107)  ~ (all_0_95_95 = all_0_98_98)
% 39.91/12.63  | (108) all_0_81_81 = e1 | all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 39.91/12.63  | (109) all_0_82_82 = e4 | all_0_84_84 = e4 | all_0_85_85 = e4
% 39.91/12.63  | (110) op(e3, all_0_86_86) = all_0_46_46
% 39.91/12.63  | (111) op(all_0_81_81, e0) = all_0_7_7
% 39.91/12.63  | (112) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e2 | all_0_97_97 = e1 | all_0_97_97 = e0
% 39.91/12.63  | (113)  ~ (all_0_83_83 = e1)
% 39.91/12.63  | (114)  ~ (all_0_89_89 = e0)
% 39.91/12.63  | (115)  ~ (all_0_96_96 = e4)
% 39.91/12.63  | (116)  ~ (all_0_82_82 = all_0_83_83)
% 39.91/12.63  | (117) op(all_0_80_80, e1) = all_0_5_5
% 39.91/12.63  | (118)  ~ (all_0_81_81 = all_0_85_85)
% 39.91/12.63  | (119) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e2 | all_0_92_92 = e1 | all_0_92_92 = e0
% 39.91/12.63  | (120) op(all_0_91_91, e2) = all_0_26_26
% 39.91/12.63  | (121) op(e3, all_0_95_95) = all_0_50_50
% 39.91/12.63  | (122) op(e1, all_0_84_84) = all_0_62_62
% 39.91/12.63  | (123) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1
% 39.91/12.63  | (124)  ~ (all_0_84_84 = all_0_87_87)
% 39.91/12.63  | (125)  ~ (all_0_78_78 = all_0_95_95)
% 39.91/12.63  | (126) op(e4, all_0_89_89) = all_0_39_39
% 39.91/12.63  | (127) all_0_79_79 = e1 | all_0_91_91 = e1 | all_0_96_96 = e1
% 39.91/12.63  | (128)  ~ (all_0_85_85 = e1)
% 39.91/12.63  | (129) all_0_78_78 = e1 | all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 39.91/12.63  | (130) op(all_0_86_86, e2) = all_0_15_15
% 39.91/12.63  | (131)  ~ (all_0_94_94 = e1)
% 39.91/12.63  | (132) all_0_90_90 = e1 | all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 39.91/12.63  | (133)  ~ (all_0_91_91 = e4)
% 39.91/12.63  | (134)  ~ (all_0_86_86 = e3)
% 39.91/12.63  | (135) op(e1, e1) = all_0_92_92
% 39.91/12.63  | (136) op(all_0_78_78, e3) = all_0_1_1
% 39.91/12.63  | (137) op(all_0_92_92, e1) = all_0_27_27
% 39.91/12.63  | (138) op(e3, all_0_78_78) = all_0_43_43
% 39.91/12.63  | (139)  ~ (all_0_86_86 = all_0_90_90)
% 39.91/12.63  | (140) all_0_94_94 = e4 | all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 39.91/12.63  | (141) op(all_0_88_88, e0) = all_0_20_20
% 39.91/12.63  | (142) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 39.91/12.63  | (143) all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1
% 39.91/12.63  | (144)  ~ (all_0_80_80 = all_0_81_81)
% 39.91/12.63  | (145) op(e0, all_0_81_81) = all_0_69_69
% 39.91/12.63  | (146)  ~ (all_0_83_83 = all_0_91_91)
% 39.91/12.63  | (147) op(e0, e1) = all_0_97_97
% 39.91/12.63  | (148)  ~ (all_0_97_97 = all_0_98_98)
% 39.91/12.63  | (149) op(all_0_87_87, e1) = all_0_18_18
% 39.91/12.63  | (150) op(e3, all_0_84_84) = all_0_63_63
% 39.91/12.63  | (151) all_0_80_80 = e1 | all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 39.91/12.64  | (152) op(e4, all_0_94_94) = all_0_41_41
% 39.91/12.64  | (153) all_0_89_89 = e2 | all_0_94_94 = e2
% 39.91/12.64  | (154)  ~ (all_0_84_84 = all_0_85_85)
% 39.91/12.64  | (155)  ~ (all_0_83_83 = e4)
% 39.91/12.64  | (156) op(e4, e0) = all_0_81_81
% 39.91/12.64  | (157)  ~ (all_0_94_94 = e3)
% 39.91/12.64  | (158) op(all_0_95_95, e0) = all_0_32_32
% 39.91/12.64  | (159) op(e3, all_0_82_82) = all_0_45_45
% 39.91/12.64  | (160) op(e1, unit) = e1
% 39.91/12.64  | (161) op(e2, all_0_88_88) = all_0_74_74
% 39.91/12.64  | (162)  ~ (all_0_86_86 = all_0_87_87)
% 39.91/12.64  | (163) op(e3, all_0_83_83) = all_0_55_55
% 39.91/12.64  | (164)  ~ (all_0_94_94 = all_0_98_98)
% 39.91/12.64  | (165) op(e1, e4) = all_0_89_89
% 39.91/12.64  | (166)  ~ (all_0_80_80 = e0)
% 39.91/12.64  | (167) op(e2, all_0_86_86) = all_0_47_47
% 39.91/12.64  | (168) all_0_81_81 = e4 | all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 39.91/12.64  | (169)  ~ (e3 = e2)
% 39.91/12.64  | (170) op(unit, e4) = e4
% 39.91/12.64  | (171) all_0_82_82 = e3 | all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 39.91/12.64  | (172) op(e2, e4) = e3
% 39.91/12.64  | (173) op(e0, all_0_93_93) = all_0_75_75
% 39.91/12.64  | (174) op(e3, e2) = all_0_83_83
% 39.91/12.64  | (175) op(all_0_89_89, e1) = all_0_21_21
% 39.91/12.64  | (176) all_0_95_95 = e1 | all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 39.91/12.64  | (177)  ~ (e4 = e3)
% 39.91/12.64  | (178) op(all_0_79_79, e4) = all_0_2_2
% 39.91/12.64  | (179)  ~ (all_0_89_89 = all_0_92_92)
% 39.91/12.64  | (180) op(e0, e4) = all_0_94_94
% 39.91/12.64  | (181)  ~ (all_0_87_87 = all_0_88_88)
% 39.91/12.64  | (182) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e2 | all_0_85_85 = e0
% 39.91/12.64  | (183)  ~ (all_0_94_94 = e0)
% 39.91/12.64  | (184) op(e2, all_0_79_79) = all_0_52_52
% 39.91/12.64  | (185) op(all_0_94_94, e0) = all_0_30_30
% 39.91/12.64  | (186) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)) | (all_0_50_50 = e0 &  ~ (all_0_51_51 = e3))
% 39.91/12.64  | (187) op(e0, all_0_98_98) = all_0_77_77
% 39.91/12.64  | (188) all_0_78_78 = e1 | all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 39.91/12.64  | (189) op(all_0_89_89, e4) = all_0_22_22
% 39.91/12.64  | (190) op(e4, all_0_79_79) = all_0_53_53
% 39.91/12.64  | (191)  ~ (all_0_88_88 = e3)
% 39.91/12.64  | (192) all_0_80_80 = e2 | all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 39.91/12.64  | (193)  ~ (all_0_78_78 = all_0_82_82)
% 39.91/12.64  | (194) op(all_0_84_84, e1) = all_0_12_12
% 39.91/12.64  | (195)  ~ (all_0_84_84 = all_0_97_97)
% 39.91/12.64  | (196) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 39.91/12.64  | (197) op(e3, all_0_85_85) = all_0_72_72
% 39.91/12.64  | (198)  ~ (all_0_82_82 = e1)
% 39.91/12.64  | (199) op(all_0_94_94, e4) = all_0_31_31
% 39.91/12.64  | (200)  ~ (all_0_82_82 = all_0_95_95)
% 39.91/12.65  | (201)  ~ (all_0_85_85 = all_0_93_93)
% 39.91/12.65  | (202)  ~ (all_0_80_80 = all_0_97_97)
% 39.91/12.65  | (203) op(unit, e3) = e3
% 39.91/12.65  | (204) op(all_0_80_80, e4) = all_0_4_4
% 39.91/12.65  | (205) all_0_81_81 = e2 | all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 39.91/12.65  | (206) op(e2, all_0_83_83) = all_0_54_54
% 39.91/12.65  | (207) all_0_80_80 = e3 | all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 39.91/12.65  | (208) all_0_86_86 = e2 | all_0_87_87 = e2 | all_0_88_88 = e2
% 39.91/12.65  | (209)  ~ (all_0_82_82 = all_0_85_85)
% 39.91/12.65  | (210) all_0_80_80 = e4 | all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 39.91/12.65  | (211)  ~ (all_0_83_83 = all_0_96_96)
% 39.91/12.65  | (212) op(e2, all_0_96_96) = all_0_58_58
% 39.91/12.65  | (213) op(all_0_97_97, e0) = all_0_36_36
% 39.91/12.65  | (214)  ~ (all_0_79_79 = all_0_96_96)
% 39.91/12.65  | (215)  ~ (all_0_89_89 = all_0_90_90)
% 39.91/12.65  | (216)  ~ (all_0_87_87 = e4)
% 39.91/12.65  | (217) op(e3, all_0_90_90) = all_0_48_48
% 39.91/12.65  | (218) op(e1, e3) = all_0_90_90
% 39.91/12.65  | (219) all_0_83_83 = e0 | all_0_91_91 = e0 | all_0_96_96 = e0
% 39.91/12.65  | (220) all_0_78_78 = e3 | all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 39.91/12.65  | (221)  ~ (all_0_87_87 = all_0_97_97)
% 39.91/12.65  | (222) op(e2, all_0_91_91) = all_0_56_56
% 39.91/12.65  | (223)  ~ (all_0_83_83 = all_0_84_84)
% 39.91/12.65  | (224) op(all_0_91_91, e1) = all_0_25_25
% 39.91/12.65  | (225) op(e3, e4) = e1
% 39.91/12.65  | (226)  ~ (all_0_83_83 = all_0_85_85)
% 39.91/12.65  | (227)  ~ (all_0_87_87 = e3)
% 39.91/12.65  | (228) op(e0, all_0_94_94) = all_0_42_42
% 39.91/12.65  | (229)  ~ (all_0_90_90 = all_0_95_95)
% 39.91/12.65  | (230) op(e2, e0) = all_0_88_88
% 39.91/12.65  | (231) op(e1, e0) = all_0_93_93
% 39.91/12.65  | (232) op(e3, e1) = all_0_84_84
% 39.91/12.65  | (233) op(e1, all_0_80_80) = all_0_60_60
% 39.91/12.65  | (234) op(all_0_83_83, e2) = all_0_10_10
% 39.91/12.65  | (235)  ~ (all_0_79_79 = e4)
% 39.91/12.65  | (236) all_0_89_89 = e2 | all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 39.91/12.65  | (237) all_0_86_86 = e0 | all_0_87_87 = e0 | all_0_88_88 = e0
% 39.91/12.65  | (238) op(e1, all_0_92_92) = all_0_66_66
% 39.91/12.65  | (239) op(e0, all_0_88_88) = all_0_73_73
% 39.91/12.65  | (240) all_0_94_94 = e4 | all_0_94_94 = e2
% 39.91/12.65  | (241)  ~ (all_0_86_86 = e4)
% 39.91/12.65  | (242) op(unit, e2) = e2
% 39.91/12.65  | (243)  ~ (e2 = e1)
% 39.91/12.65  | (244) op(e4, e4) = e0
% 39.91/12.65  | (245) op(e2, e3) = all_0_86_86
% 39.91/12.66  | (246) all_0_78_78 = e2 | all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 39.91/12.66  | (247)  ~ (all_0_89_89 = all_0_91_91)
% 39.91/12.66  | (248) all_0_79_79 = e2 | all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 39.91/12.66  | (249) all_0_82_82 = e0 | all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 39.91/12.66  | (250) all_0_81_81 = e3 | all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 39.91/12.66  | (251) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)) | (all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_33_33 = e0 &  ~ (all_0_32_32 = e3) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_35_35 = e0 &  ~ (all_0_34_34 = e2) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_37_37 = e0 &  ~ (all_0_36_36 = e1) &  ~ (all_0_93_93 = all_0_97_97))
% 39.91/12.66  | (252) op(e1, all_0_97_97) = all_0_67_67
% 39.91/12.66  | (253) op(all_0_88_88, e2) = all_0_19_19
% 39.91/12.66  | (254) all_0_82_82 = e0 | all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 39.91/12.66  | (255)  ~ (all_0_82_82 = all_0_90_90)
% 39.91/12.66  | (256)  ~ (e4 = e1)
% 39.91/12.66  | (257)  ~ (all_0_81_81 = e0)
% 39.91/12.66  | (258)  ~ (all_0_92_92 = all_0_97_97)
% 39.91/12.66  | (259)  ~ (all_0_84_84 = e1)
% 39.91/12.66  | (260) op(all_0_97_97, e1) = all_0_37_37
% 39.91/12.66  | (261)  ~ (all_0_89_89 = e3)
% 39.91/12.66  | (262)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 39.91/12.66  | (263) op(e4, e3) = all_0_78_78
% 39.91/12.66  | (264)  ~ (e1 = e0)
% 39.91/12.66  | (265)  ~ (all_0_91_91 = all_0_92_92)
% 39.91/12.66  | (266)  ~ (all_0_81_81 = all_0_88_88)
% 39.91/12.66  | (267) op(e4, e2) = all_0_79_79
% 39.91/12.66  | (268) op(e0, all_0_96_96) = all_0_59_59
% 39.91/12.66  | (269) op(e2, unit) = e2
% 39.91/12.66  | (270) all_0_95_95 = e3 | all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 39.91/12.66  | (271) op(e3, unit) = e3
% 39.91/12.66  | (272)  ~ (all_0_79_79 = all_0_83_83)
% 39.91/12.66  | (273)  ~ (all_0_80_80 = all_0_84_84)
% 39.91/12.66  | (274) all_0_89_89 = e4 | all_0_94_94 = e4
% 39.91/12.66  | (275) op(e0, e3) = all_0_95_95
% 39.91/12.66  | (276) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)) | (all_0_67_67 = e0 &  ~ (all_0_68_68 = e1))
% 39.91/12.66  | (277)  ~ (all_0_81_81 = all_0_93_93)
% 39.91/12.67  | (278)  ~ (all_0_78_78 = all_0_81_81)
% 39.91/12.67  | (279)  ~ (all_0_95_95 = all_0_96_96)
% 39.91/12.67  | (280) op(e0, all_0_95_95) = all_0_51_51
% 39.91/12.67  | (281) op(e4, e1) = all_0_80_80
% 39.91/12.67  | (282) all_0_90_90 = e3 | all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 39.91/12.67  | (283)  ~ (all_0_92_92 = all_0_93_93)
% 39.91/12.67  | (284) all_0_91_91 = e3 | all_0_91_91 = e2 | all_0_91_91 = e1 | all_0_91_91 = e0
% 39.91/12.67  | (285) all_0_79_79 = e3 | all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 39.91/12.67  | (286)  ~ (all_0_88_88 = all_0_93_93)
% 39.91/12.67  | (287) op(all_0_90_90, e3) = all_0_24_24
% 39.91/12.67  | (288) op(unit, e0) = e0
% 39.91/12.67  | (289) all_0_85_85 = e0 | all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 39.91/12.67  | (290)  ~ (all_0_89_89 = e1)
% 39.91/12.67  | (291) all_0_90_90 = e0 | all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 39.91/12.67  |
% 39.91/12.67  +-Applying beta-rule and splitting (153), into two cases.
% 39.91/12.67  |-Branch one:
% 39.91/12.67  | (292) all_0_89_89 = e2
% 39.91/12.67  |
% 39.91/12.67  	| Equations (292) can reduce 215 to:
% 39.91/12.67  	| (293)  ~ (all_0_90_90 = e2)
% 39.91/12.67  	|
% 39.91/12.67  	| Simplifying 293 yields:
% 40.32/12.67  	| (294)  ~ (all_0_90_90 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Equations (292) can reduce 247 to:
% 40.32/12.67  	| (295)  ~ (all_0_91_91 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Simplifying 295 yields:
% 40.32/12.67  	| (296)  ~ (all_0_91_91 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Equations (292) can reduce 179 to:
% 40.32/12.67  	| (297)  ~ (all_0_92_92 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Simplifying 297 yields:
% 40.32/12.67  	| (298)  ~ (all_0_92_92 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Equations (292) can reduce 32 to:
% 40.32/12.67  	| (299)  ~ (all_0_93_93 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Simplifying 299 yields:
% 40.32/12.67  	| (300)  ~ (all_0_93_93 = e2)
% 40.32/12.67  	|
% 40.32/12.67  	| Equations (292) can reduce 290 to:
% 40.32/12.67  	| (243)  ~ (e2 = e1)
% 40.32/12.67  	|
% 40.32/12.67  	| Equations (292) can reduce 114 to:
% 40.32/12.67  	| (76)  ~ (e2 = e0)
% 40.32/12.67  	|
% 40.32/12.67  	| From (292) and (189) follows:
% 40.32/12.67  	| (303) op(e2, e4) = all_0_22_22
% 40.32/12.67  	|
% 40.32/12.67  	| From (292) and (175) follows:
% 40.32/12.68  	| (304) op(e2, e1) = all_0_21_21
% 40.32/12.68  	|
% 40.32/12.68  	| From (292) and (126) follows:
% 40.32/12.68  	| (305) op(e4, e2) = all_0_39_39
% 40.32/12.68  	|
% 40.32/12.68  	| From (292) and (60) follows:
% 40.32/12.68  	| (306) op(e1, e2) = all_0_40_40
% 40.32/12.68  	|
% 40.32/12.68  	| From (292) and (165) follows:
% 40.32/12.68  	| (307) op(e1, e4) = e2
% 40.32/12.68  	|
% 40.32/12.68  	+-Applying beta-rule and splitting (274), into two cases.
% 40.32/12.68  	|-Branch one:
% 40.32/12.68  	| (308) all_0_89_89 = e4
% 40.32/12.68  	|
% 40.32/12.68  		| Combining equations (308,292) yields a new equation:
% 40.32/12.68  		| (309) e4 = e2
% 40.32/12.68  		|
% 40.32/12.68  		| Simplifying 309 yields:
% 40.32/12.68  		| (310) e4 = e2
% 40.32/12.68  		|
% 40.32/12.68  		| Equations (310) can reduce 79 to:
% 40.32/12.68  		| (311) $false
% 40.32/12.68  		|
% 40.32/12.68  		|-The branch is then unsatisfiable
% 40.32/12.68  	|-Branch two:
% 40.32/12.68  	| (312)  ~ (all_0_89_89 = e4)
% 40.32/12.68  	| (313) all_0_94_94 = e4
% 40.37/12.68  	|
% 40.37/12.68  		| Equations (313) can reduce 55 to:
% 40.37/12.68  		| (314)  ~ (all_0_95_95 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Simplifying 314 yields:
% 40.37/12.68  		| (315)  ~ (all_0_95_95 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Equations (313) can reduce 40 to:
% 40.37/12.68  		| (316)  ~ (all_0_96_96 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Simplifying 316 yields:
% 40.37/12.68  		| (115)  ~ (all_0_96_96 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Equations (313) can reduce 28 to:
% 40.37/12.68  		| (318)  ~ (all_0_97_97 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Simplifying 318 yields:
% 40.37/12.68  		| (319)  ~ (all_0_97_97 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Equations (313) can reduce 164 to:
% 40.37/12.68  		| (320)  ~ (all_0_98_98 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Simplifying 320 yields:
% 40.37/12.68  		| (321)  ~ (all_0_98_98 = e4)
% 40.37/12.68  		|
% 40.37/12.68  		| Equations (313) can reduce 157 to:
% 40.37/12.68  		| (177)  ~ (e4 = e3)
% 40.37/12.68  		|
% 40.37/12.68  		| Equations (313) can reduce 131 to:
% 40.37/12.68  		| (256)  ~ (e4 = e1)
% 40.37/12.69  		|
% 40.37/12.69  		| From (313) and (199) follows:
% 40.37/12.69  		| (324) op(e4, e4) = all_0_31_31
% 40.37/12.69  		|
% 40.37/12.69  		| From (313) and (185) follows:
% 40.37/12.69  		| (325) op(e4, e0) = all_0_30_30
% 40.37/12.69  		|
% 40.37/12.69  		| From (313) and (152) follows:
% 40.37/12.69  		| (326) op(e4, e4) = all_0_41_41
% 40.37/12.69  		|
% 40.37/12.69  		| From (313) and (228) follows:
% 40.37/12.69  		| (327) op(e0, e4) = all_0_42_42
% 40.37/12.69  		|
% 40.37/12.69  		| From (313) and (180) follows:
% 40.37/12.69  		| (328) op(e0, e4) = e4
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e4, e4, all_0_31_31, e0 and discharging atoms op(e4, e4) = all_0_31_31, op(e4, e4) = e0, yields:
% 40.37/12.69  		| (329) all_0_31_31 = e0
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e4, e4, all_0_41_41, all_0_31_31 and discharging atoms op(e4, e4) = all_0_31_31, op(e4, e4) = all_0_41_41, yields:
% 40.37/12.69  		| (330) all_0_31_31 = all_0_41_41
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e4, e2, all_0_39_39, all_0_79_79 and discharging atoms op(e4, e2) = all_0_39_39, op(e4, e2) = all_0_79_79, yields:
% 40.37/12.69  		| (331) all_0_39_39 = all_0_79_79
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e4, e0, all_0_30_30, all_0_81_81 and discharging atoms op(e4, e0) = all_0_30_30, op(e4, e0) = all_0_81_81, yields:
% 40.37/12.69  		| (332) all_0_30_30 = all_0_81_81
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e2, e4, all_0_22_22, e3 and discharging atoms op(e2, e4) = all_0_22_22, op(e2, e4) = e3, yields:
% 40.37/12.69  		| (333) all_0_22_22 = e3
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e2, e1, all_0_21_21, all_0_87_87 and discharging atoms op(e2, e1) = all_0_21_21, op(e2, e1) = all_0_87_87, yields:
% 40.37/12.69  		| (334) all_0_21_21 = all_0_87_87
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e1, e2, all_0_40_40, all_0_91_91 and discharging atoms op(e1, e2) = all_0_40_40, op(e1, e2) = all_0_91_91, yields:
% 40.37/12.69  		| (335) all_0_40_40 = all_0_91_91
% 40.37/12.69  		|
% 40.37/12.69  		| Instantiating formula (262) with e0, e4, e4, all_0_42_42 and discharging atoms op(e0, e4) = all_0_42_42, op(e0, e4) = e4, yields:
% 40.37/12.69  		| (336) all_0_42_42 = e4
% 40.37/12.69  		|
% 40.37/12.69  		| Combining equations (329,330) yields a new equation:
% 40.37/12.69  		| (337) all_0_41_41 = e0
% 40.37/12.69  		|
% 40.37/12.69  		| From (337) and (326) follows:
% 40.37/12.69  		| (244) op(e4, e4) = e0
% 40.37/12.70  		|
% 40.37/12.70  		| From (331) and (305) follows:
% 40.37/12.70  		| (267) op(e4, e2) = all_0_79_79
% 40.37/12.70  		|
% 40.37/12.70  		| From (332) and (325) follows:
% 40.37/12.70  		| (156) op(e4, e0) = all_0_81_81
% 40.37/12.70  		|
% 40.37/12.70  		| From (333) and (303) follows:
% 40.37/12.70  		| (172) op(e2, e4) = e3
% 40.37/12.70  		|
% 40.37/12.70  		| From (334) and (304) follows:
% 40.37/12.70  		| (14) op(e2, e1) = all_0_87_87
% 40.37/12.70  		|
% 40.37/12.70  		| From (335) and (306) follows:
% 40.37/12.70  		| (3) op(e1, e2) = all_0_91_91
% 40.37/12.70  		|
% 40.37/12.70  		| From (336) and (327) follows:
% 40.37/12.70  		| (328) op(e0, e4) = e4
% 40.37/12.70  		|
% 40.37/12.70  		+-Applying beta-rule and splitting (208), into two cases.
% 40.37/12.70  		|-Branch one:
% 40.37/12.70  		| (345) all_0_86_86 = e2
% 40.37/12.70  		|
% 40.37/12.70  			| Equations (345) can reduce 82 to:
% 40.37/12.70  			| (346)  ~ (all_0_78_78 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 81 to:
% 40.37/12.70  			| (347)  ~ (all_0_82_82 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 162 to:
% 40.37/12.70  			| (348)  ~ (all_0_87_87 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Simplifying 348 yields:
% 40.37/12.70  			| (349)  ~ (all_0_87_87 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 80 to:
% 40.37/12.70  			| (350)  ~ (all_0_88_88 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Simplifying 350 yields:
% 40.37/12.70  			| (351)  ~ (all_0_88_88 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 139 to:
% 40.37/12.70  			| (293)  ~ (all_0_90_90 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Simplifying 293 yields:
% 40.37/12.70  			| (294)  ~ (all_0_90_90 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 91 to:
% 40.37/12.70  			| (354)  ~ (all_0_95_95 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Simplifying 354 yields:
% 40.37/12.70  			| (355)  ~ (all_0_95_95 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Equations (345) can reduce 134 to:
% 40.37/12.70  			| (356)  ~ (e3 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| Simplifying 356 yields:
% 40.37/12.70  			| (169)  ~ (e3 = e2)
% 40.37/12.70  			|
% 40.37/12.70  			| From (345) and (74) follows:
% 40.37/12.70  			| (358) op(e2, e3) = all_0_16_16
% 40.37/12.70  			|
% 40.37/12.70  			| From (345) and (130) follows:
% 40.37/12.70  			| (359) op(e2, e2) = all_0_15_15
% 40.37/12.70  			|
% 40.37/12.70  			| From (345) and (110) follows:
% 40.37/12.70  			| (360) op(e3, e2) = all_0_46_46
% 40.37/12.70  			|
% 40.37/12.70  			| From (345) and (167) follows:
% 40.37/12.70  			| (361) op(e2, e2) = all_0_47_47
% 40.37/12.70  			|
% 40.37/12.70  			| From (345) and (245) follows:
% 40.37/12.70  			| (362) op(e2, e3) = e2
% 40.37/12.70  			|
% 40.37/12.70  			| Instantiating formula (262) with e3, e2, all_0_46_46, all_0_83_83 and discharging atoms op(e3, e2) = all_0_46_46, op(e3, e2) = all_0_83_83, yields:
% 40.37/12.70  			| (363) all_0_46_46 = all_0_83_83
% 40.37/12.70  			|
% 40.37/12.70  			| Instantiating formula (262) with e2, e3, e2, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = e2, yields:
% 40.37/12.70  			| (364) all_0_16_16 = e2
% 40.37/12.70  			|
% 40.37/12.70  			| Instantiating formula (262) with e2, e2, all_0_15_15, e4 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = e4, yields:
% 40.37/12.70  			| (365) all_0_15_15 = e4
% 40.37/12.70  			|
% 40.37/12.70  			| Instantiating formula (262) with e2, e2, all_0_47_47, all_0_15_15 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = all_0_47_47, yields:
% 40.37/12.70  			| (366) all_0_15_15 = all_0_47_47
% 40.37/12.70  			|
% 40.37/12.70  			| Combining equations (365,366) yields a new equation:
% 40.37/12.70  			| (367) all_0_47_47 = e4
% 40.37/12.70  			|
% 40.37/12.70  			| From (364) and (358) follows:
% 40.37/12.70  			| (362) op(e2, e3) = e2
% 40.37/12.70  			|
% 40.37/12.70  			| From (367) and (361) follows:
% 40.37/12.70  			| (6) op(e2, e2) = e4
% 40.37/12.70  			|
% 40.37/12.70  			+-Applying beta-rule and splitting (47), into two cases.
% 40.37/12.70  			|-Branch one:
% 40.37/12.70  			| (370) all_0_88_88 = e2
% 40.37/12.70  			|
% 40.37/12.70  				| Equations (370) can reduce 351 to:
% 40.37/12.70  				| (311) $false
% 40.37/12.70  				|
% 40.37/12.70  				|-The branch is then unsatisfiable
% 40.37/12.70  			|-Branch two:
% 40.37/12.70  			| (351)  ~ (all_0_88_88 = e2)
% 40.37/12.70  			| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 40.37/12.70  			|
% 40.37/12.70  				+-Applying beta-rule and splitting (62), into two cases.
% 40.37/12.70  				|-Branch one:
% 40.37/12.70  				| (374) all_0_87_87 = e2
% 40.37/12.70  				|
% 40.37/12.70  					| Equations (374) can reduce 349 to:
% 40.37/12.70  					| (311) $false
% 40.37/12.70  					|
% 40.37/12.70  					|-The branch is then unsatisfiable
% 40.37/12.70  				|-Branch two:
% 40.37/12.70  				| (349)  ~ (all_0_87_87 = e2)
% 40.37/12.70  				| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.37/12.70  				|
% 40.37/12.70  					+-Applying beta-rule and splitting (237), into two cases.
% 40.37/12.70  					|-Branch one:
% 40.37/12.70  					| (378) all_0_86_86 = e0
% 40.37/12.70  					|
% 40.37/12.71  						| Combining equations (378,345) yields a new equation:
% 40.37/12.71  						| (379) e2 = e0
% 40.37/12.71  						|
% 40.37/12.71  						| Equations (379) can reduce 76 to:
% 40.37/12.71  						| (311) $false
% 40.37/12.71  						|
% 40.37/12.71  						|-The branch is then unsatisfiable
% 40.37/12.71  					|-Branch two:
% 40.37/12.71  					| (381)  ~ (all_0_86_86 = e0)
% 40.37/12.71  					| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 40.37/12.71  					|
% 40.37/12.71  						| Equations (345) can reduce 381 to:
% 40.37/12.71  						| (76)  ~ (e2 = e0)
% 40.37/12.71  						|
% 40.37/12.71  						+-Applying beta-rule and splitting (42), into two cases.
% 40.37/12.71  						|-Branch one:
% 40.37/12.71  						| (384) all_0_86_86 = e1
% 40.37/12.71  						|
% 40.37/12.71  							| Combining equations (384,345) yields a new equation:
% 40.37/12.71  							| (385) e2 = e1
% 40.37/12.71  							|
% 40.37/12.71  							| Equations (385) can reduce 243 to:
% 40.37/12.71  							| (311) $false
% 40.37/12.71  							|
% 40.37/12.71  							|-The branch is then unsatisfiable
% 40.37/12.71  						|-Branch two:
% 40.37/12.71  						| (387)  ~ (all_0_86_86 = e1)
% 40.37/12.71  						| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 40.50/12.71  						|
% 40.50/12.71  							| Equations (345) can reduce 387 to:
% 40.50/12.71  							| (243)  ~ (e2 = e1)
% 40.50/12.71  							|
% 40.50/12.71  							+-Applying beta-rule and splitting (143), into two cases.
% 40.50/12.71  							|-Branch one:
% 40.50/12.71  							| (390) all_0_79_79 = e2
% 40.50/12.71  							|
% 40.50/12.71  								| Combining equations (390,331) yields a new equation:
% 40.50/12.71  								| (391) all_0_39_39 = e2
% 40.50/12.71  								|
% 40.50/12.71  								| Equations (390) can reduce 66 to:
% 40.50/12.71  								| (346)  ~ (all_0_78_78 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Equations (390) can reduce 63 to:
% 40.50/12.71  								| (393)  ~ (all_0_80_80 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Simplifying 393 yields:
% 40.50/12.71  								| (394)  ~ (all_0_80_80 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Equations (390) can reduce 15 to:
% 40.50/12.71  								| (395)  ~ (all_0_81_81 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Simplifying 395 yields:
% 40.50/12.71  								| (396)  ~ (all_0_81_81 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Equations (390) can reduce 272 to:
% 40.50/12.71  								| (397)  ~ (all_0_83_83 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Simplifying 397 yields:
% 40.50/12.71  								| (398)  ~ (all_0_83_83 = e2)
% 40.50/12.71  								|
% 40.50/12.71  								| Equations (390) can reduce 9 to:
% 40.50/12.71  								| (76)  ~ (e2 = e0)
% 40.50/12.71  								|
% 40.50/12.71  								+-Applying beta-rule and splitting (70), into two cases.
% 40.50/12.71  								|-Branch one:
% 40.50/12.71  								| (400) all_0_78_78 = e2
% 40.50/12.71  								|
% 40.50/12.71  									| Equations (400) can reduce 346 to:
% 40.50/12.71  									| (311) $false
% 40.50/12.71  									|
% 40.50/12.71  									|-The branch is then unsatisfiable
% 40.50/12.71  								|-Branch two:
% 40.50/12.71  								| (346)  ~ (all_0_78_78 = e2)
% 40.50/12.71  								| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 40.50/12.71  								|
% 40.50/12.71  									+-Applying beta-rule and splitting (403), into two cases.
% 40.50/12.71  									|-Branch one:
% 40.50/12.71  									| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 40.50/12.71  									|
% 40.50/12.71  										+-Applying beta-rule and splitting (404), into two cases.
% 40.50/12.71  										|-Branch one:
% 40.50/12.71  										| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 40.50/12.71  										|
% 40.50/12.71  											| Applying alpha-rule on (405) yields:
% 40.50/12.71  											| (406) all_0_39_39 = e1
% 40.50/12.71  											| (407)  ~ (all_0_40_40 = e4)
% 40.50/12.71  											|
% 40.50/12.71  											| Combining equations (391,406) yields a new equation:
% 40.50/12.71  											| (408) e2 = e1
% 40.50/12.71  											|
% 40.50/12.71  											| Simplifying 408 yields:
% 40.50/12.71  											| (385) e2 = e1
% 40.50/12.71  											|
% 40.50/12.71  											| Equations (385) can reduce 243 to:
% 40.50/12.71  											| (311) $false
% 40.50/12.71  											|
% 40.50/12.71  											|-The branch is then unsatisfiable
% 40.50/12.71  										|-Branch two:
% 40.50/12.71  										| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 40.50/12.71  										|
% 40.50/12.71  											| Applying alpha-rule on (411) yields:
% 40.50/12.71  											| (337) all_0_41_41 = e0
% 40.50/12.71  											| (413)  ~ (all_0_42_42 = e4)
% 40.50/12.71  											|
% 40.50/12.71  											| Equations (336) can reduce 413 to:
% 40.50/12.71  											| (311) $false
% 40.50/12.71  											|
% 40.50/12.71  											|-The branch is then unsatisfiable
% 40.50/12.71  									|-Branch two:
% 40.50/12.71  									| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 40.50/12.71  									|
% 40.50/12.71  										| Applying alpha-rule on (415) yields:
% 40.50/12.71  										| (416) all_0_80_80 = e3
% 40.50/12.71  										| (417)  ~ (all_0_84_84 = e4)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 67 to:
% 40.50/12.71  										| (418)  ~ (all_0_78_78 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 144 to:
% 40.50/12.71  										| (419)  ~ (all_0_81_81 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Simplifying 419 yields:
% 40.50/12.71  										| (420)  ~ (all_0_81_81 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 273 to:
% 40.50/12.71  										| (421)  ~ (all_0_84_84 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Simplifying 421 yields:
% 40.50/12.71  										| (422)  ~ (all_0_84_84 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 73 to:
% 40.50/12.71  										| (423)  ~ (all_0_87_87 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Simplifying 423 yields:
% 40.50/12.71  										| (227)  ~ (all_0_87_87 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 49 to:
% 40.50/12.71  										| (425)  ~ (all_0_92_92 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Simplifying 425 yields:
% 40.50/12.71  										| (426)  ~ (all_0_92_92 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 202 to:
% 40.50/12.71  										| (427)  ~ (all_0_97_97 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Simplifying 427 yields:
% 40.50/12.71  										| (428)  ~ (all_0_97_97 = e3)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 394 to:
% 40.50/12.71  										| (169)  ~ (e3 = e2)
% 40.50/12.71  										|
% 40.50/12.71  										| Equations (416) can reduce 166 to:
% 40.50/12.71  										| (50)  ~ (e3 = e0)
% 40.50/12.71  										|
% 40.50/12.71  										| From (416) and (117) follows:
% 40.50/12.71  										| (431) op(e3, e1) = all_0_5_5
% 40.50/12.71  										|
% 40.50/12.71  										| From (416) and (233) follows:
% 40.50/12.71  										| (432) op(e1, e3) = all_0_60_60
% 40.50/12.71  										|
% 40.50/12.71  										+-Applying beta-rule and splitting (210), into two cases.
% 40.50/12.71  										|-Branch one:
% 40.50/12.71  										| (433) all_0_80_80 = e4
% 40.50/12.71  										|
% 40.50/12.71  											| Combining equations (416,433) yields a new equation:
% 40.50/12.71  											| (434) e4 = e3
% 40.50/12.71  											|
% 40.50/12.71  											| Equations (434) can reduce 177 to:
% 40.50/12.71  											| (311) $false
% 40.50/12.71  											|
% 40.50/12.71  											|-The branch is then unsatisfiable
% 40.50/12.71  										|-Branch two:
% 40.50/12.71  										| (436)  ~ (all_0_80_80 = e4)
% 40.50/12.71  										| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 40.50/12.71  										|
% 40.50/12.71  											+-Applying beta-rule and splitting (437), into two cases.
% 40.50/12.71  											|-Branch one:
% 40.50/12.71  											| (438) all_0_84_84 = e4
% 40.50/12.71  											|
% 40.50/12.71  												| Equations (438) can reduce 417 to:
% 40.50/12.71  												| (311) $false
% 40.50/12.71  												|
% 40.50/12.71  												|-The branch is then unsatisfiable
% 40.50/12.71  											|-Branch two:
% 40.50/12.71  											| (417)  ~ (all_0_84_84 = e4)
% 40.50/12.71  											| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 40.50/12.71  											|
% 40.50/12.71  												+-Applying beta-rule and splitting (441), into two cases.
% 40.50/12.71  												|-Branch one:
% 40.50/12.71  												| (442) all_0_92_92 = e4
% 40.50/12.71  												|
% 40.50/12.71  													| Equations (442) can reduce 87 to:
% 40.50/12.71  													| (417)  ~ (all_0_84_84 = e4)
% 40.50/12.71  													|
% 40.50/12.71  													| Equations (442) can reduce 94 to:
% 40.50/12.71  													| (216)  ~ (all_0_87_87 = e4)
% 40.50/12.71  													|
% 40.50/12.71  													| Equations (442) can reduce 265 to:
% 40.50/12.71  													| (133)  ~ (all_0_91_91 = e4)
% 40.50/12.71  													|
% 40.50/12.71  													| Equations (442) can reduce 258 to:
% 40.50/12.71  													| (318)  ~ (all_0_97_97 = e4)
% 40.50/12.71  													|
% 40.50/12.71  													| Simplifying 318 yields:
% 40.50/12.71  													| (319)  ~ (all_0_97_97 = e4)
% 40.50/12.71  													|
% 40.50/12.71  													| Equations (442) can reduce 426 to:
% 40.50/12.71  													| (177)  ~ (e4 = e3)
% 40.50/12.71  													|
% 40.50/12.71  													| From (442) and (135) follows:
% 40.50/12.71  													| (449) op(e1, e1) = e4
% 40.50/12.71  													|
% 40.50/12.71  													| Instantiating formula (262) with e3, e1, all_0_5_5, all_0_84_84 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = all_0_84_84, yields:
% 40.50/12.71  													| (450) all_0_5_5 = all_0_84_84
% 40.50/12.71  													|
% 40.50/12.71  													| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 40.50/12.71  													| (451) all_0_60_60 = all_0_90_90
% 40.50/12.71  													|
% 40.50/12.71  													| From (450) and (431) follows:
% 40.50/12.71  													| (232) op(e3, e1) = all_0_84_84
% 40.50/12.71  													|
% 40.50/12.71  													+-Applying beta-rule and splitting (52), into two cases.
% 40.50/12.71  													|-Branch one:
% 40.50/12.71  													| (453) all_0_83_83 = e2
% 40.50/12.71  													|
% 40.50/12.72  														| Equations (453) can reduce 398 to:
% 40.50/12.72  														| (311) $false
% 40.50/12.72  														|
% 40.50/12.72  														|-The branch is then unsatisfiable
% 40.50/12.72  													|-Branch two:
% 40.50/12.72  													| (398)  ~ (all_0_83_83 = e2)
% 40.50/12.72  													| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 40.50/12.72  													|
% 40.50/12.72  														+-Applying beta-rule and splitting (127), into two cases.
% 40.50/12.72  														|-Branch one:
% 40.50/12.72  														| (457) all_0_79_79 = e1
% 40.50/12.72  														|
% 40.50/12.72  															| Combining equations (390,457) yields a new equation:
% 40.50/12.72  															| (408) e2 = e1
% 40.50/12.72  															|
% 40.50/12.72  															| Simplifying 408 yields:
% 40.50/12.72  															| (385) e2 = e1
% 40.50/12.72  															|
% 40.50/12.72  															| Equations (385) can reduce 243 to:
% 40.50/12.72  															| (311) $false
% 40.50/12.72  															|
% 40.50/12.72  															|-The branch is then unsatisfiable
% 40.50/12.72  														|-Branch two:
% 40.50/12.72  														| (461)  ~ (all_0_79_79 = e1)
% 40.50/12.72  														| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 40.50/12.72  														|
% 40.50/12.72  															+-Applying beta-rule and splitting (56), into two cases.
% 40.50/12.72  															|-Branch one:
% 40.50/12.72  															| (463) all_0_78_78 = e4
% 40.50/12.72  															|
% 40.50/12.72  																| Equations (463) can reduce 193 to:
% 40.50/12.72  																| (464)  ~ (all_0_82_82 = e4)
% 40.50/12.72  																|
% 40.50/12.72  																| Simplifying 464 yields:
% 40.50/12.72  																| (465)  ~ (all_0_82_82 = e4)
% 40.50/12.72  																|
% 40.50/12.72  																| Equations (463) can reduce 85 to:
% 40.50/12.72  																| (466)  ~ (all_0_90_90 = e4)
% 40.50/12.72  																|
% 40.50/12.72  																| Simplifying 466 yields:
% 40.50/12.72  																| (467)  ~ (all_0_90_90 = e4)
% 40.50/12.72  																|
% 40.50/12.72  																| Equations (463) can reduce 346 to:
% 40.50/12.72  																| (79)  ~ (e4 = e2)
% 40.50/12.72  																|
% 40.50/12.72  																+-Applying beta-rule and splitting (109), into two cases.
% 40.50/12.72  																|-Branch one:
% 40.50/12.72  																| (469) all_0_82_82 = e4
% 40.50/12.72  																|
% 40.50/12.72  																	| Equations (469) can reduce 465 to:
% 40.50/12.72  																	| (311) $false
% 40.50/12.72  																	|
% 40.50/12.72  																	|-The branch is then unsatisfiable
% 40.50/12.72  																|-Branch two:
% 40.50/12.72  																| (465)  ~ (all_0_82_82 = e4)
% 40.50/12.72  																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 40.50/12.72  																|
% 40.50/12.72  																	+-Applying beta-rule and splitting (123), into two cases.
% 40.50/12.72  																	|-Branch one:
% 40.50/12.72  																	| (473) all_0_81_81 = e2
% 40.50/12.72  																	|
% 40.50/12.72  																		| Equations (473) can reduce 396 to:
% 40.50/12.72  																		| (311) $false
% 40.50/12.72  																		|
% 40.50/12.72  																		|-The branch is then unsatisfiable
% 40.50/12.72  																	|-Branch two:
% 40.50/12.72  																	| (396)  ~ (all_0_81_81 = e2)
% 40.50/12.72  																	| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 40.50/12.72  																	|
% 40.50/12.72  																		+-Applying beta-rule and splitting (476), into two cases.
% 40.50/12.72  																		|-Branch one:
% 40.50/12.72  																		| (477) all_0_81_81 = e1
% 40.50/12.72  																		|
% 40.50/12.72  																			| Equations (477) can reduce 266 to:
% 40.50/12.72  																			| (478)  ~ (all_0_88_88 = e1)
% 40.50/12.72  																			|
% 40.50/12.72  																			| Simplifying 478 yields:
% 40.50/12.72  																			| (479)  ~ (all_0_88_88 = e1)
% 40.50/12.72  																			|
% 40.50/12.72  																			| Equations (477) can reduce 277 to:
% 40.50/12.72  																			| (480)  ~ (all_0_93_93 = e1)
% 40.50/12.72  																			|
% 40.50/12.72  																			| Simplifying 480 yields:
% 40.50/12.72  																			| (481)  ~ (all_0_93_93 = e1)
% 40.50/12.72  																			|
% 40.50/12.72  																			+-Applying beta-rule and splitting (388), into two cases.
% 40.50/12.72  																			|-Branch one:
% 40.50/12.72  																			| (482) all_0_87_87 = e1
% 40.50/12.72  																			|
% 40.50/12.72  																				| Equations (482) can reduce 181 to:
% 40.50/12.72  																				| (478)  ~ (all_0_88_88 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| Simplifying 478 yields:
% 40.50/12.72  																				| (479)  ~ (all_0_88_88 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| Equations (482) can reduce 221 to:
% 40.50/12.72  																				| (485)  ~ (all_0_97_97 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| Simplifying 485 yields:
% 40.50/12.72  																				| (486)  ~ (all_0_97_97 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| Equations (482) can reduce 349 to:
% 40.50/12.72  																				| (487)  ~ (e2 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| Simplifying 487 yields:
% 40.50/12.72  																				| (243)  ~ (e2 = e1)
% 40.50/12.72  																				|
% 40.50/12.72  																				| From (482) and (16) follows:
% 40.50/12.72  																				| (489) op(e1, e1) = all_0_64_64
% 40.50/12.72  																				|
% 40.50/12.72  																				+-Applying beta-rule and splitting (472), into two cases.
% 40.50/12.72  																				|-Branch one:
% 40.50/12.72  																				| (438) all_0_84_84 = e4
% 40.50/12.72  																				|
% 40.50/12.72  																					| Equations (438) can reduce 417 to:
% 40.50/12.72  																					| (311) $false
% 40.50/12.72  																					|
% 40.50/12.72  																					|-The branch is then unsatisfiable
% 40.50/12.72  																				|-Branch two:
% 40.50/12.72  																				| (417)  ~ (all_0_84_84 = e4)
% 40.50/12.72  																				| (493) all_0_85_85 = e4
% 40.50/12.72  																				|
% 40.50/12.72  																					| Equations (493) can reduce 154 to:
% 40.50/12.72  																					| (417)  ~ (all_0_84_84 = e4)
% 40.50/12.72  																					|
% 40.50/12.72  																					| Equations (493) can reduce 201 to:
% 40.50/12.72  																					| (495)  ~ (all_0_93_93 = e4)
% 40.50/12.72  																					|
% 40.50/12.72  																					| Simplifying 495 yields:
% 40.50/12.72  																					| (496)  ~ (all_0_93_93 = e4)
% 40.50/12.72  																					|
% 40.50/12.72  																					| Equations (493) can reduce 75 to:
% 40.50/12.72  																					| (320)  ~ (all_0_98_98 = e4)
% 40.50/12.72  																					|
% 40.50/12.72  																					| Simplifying 320 yields:
% 40.50/12.72  																					| (321)  ~ (all_0_98_98 = e4)
% 40.50/12.72  																					|
% 40.50/12.72  																					+-Applying beta-rule and splitting (205), into two cases.
% 40.50/12.72  																					|-Branch one:
% 40.50/12.72  																					| (473) all_0_81_81 = e2
% 40.50/12.72  																					|
% 40.50/12.72  																						| Combining equations (477,473) yields a new equation:
% 40.50/12.72  																						| (385) e2 = e1
% 40.50/12.72  																						|
% 40.50/12.72  																						| Equations (385) can reduce 243 to:
% 40.50/12.72  																						| (311) $false
% 40.50/12.72  																						|
% 40.50/12.72  																						|-The branch is then unsatisfiable
% 40.50/12.72  																					|-Branch two:
% 40.50/12.72  																					| (396)  ~ (all_0_81_81 = e2)
% 40.50/12.72  																					| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 40.50/12.72  																					|
% 40.50/12.72  																						+-Applying beta-rule and splitting (373), into two cases.
% 40.50/12.72  																						|-Branch one:
% 40.50/12.72  																						| (504) all_0_88_88 = e1
% 40.50/12.72  																						|
% 40.50/12.72  																							| Equations (504) can reduce 479 to:
% 40.50/12.72  																							| (311) $false
% 40.50/12.72  																							|
% 40.50/12.72  																							|-The branch is then unsatisfiable
% 40.50/12.72  																						|-Branch two:
% 40.50/12.72  																						| (479)  ~ (all_0_88_88 = e1)
% 40.50/12.72  																						| (507) all_0_88_88 = e0
% 40.50/12.72  																						|
% 40.50/12.72  																							| Equations (507) can reduce 286 to:
% 40.50/12.72  																							| (508)  ~ (all_0_93_93 = e0)
% 40.50/12.72  																							|
% 40.50/12.72  																							| Simplifying 508 yields:
% 40.50/12.72  																							| (509)  ~ (all_0_93_93 = e0)
% 40.50/12.72  																							|
% 40.50/12.72  																							| Equations (507) can reduce 351 to:
% 40.50/12.72  																							| (510)  ~ (e2 = e0)
% 40.50/12.72  																							|
% 40.50/12.72  																							| Simplifying 510 yields:
% 40.50/12.72  																							| (76)  ~ (e2 = e0)
% 40.50/12.72  																							|
% 40.50/12.72  																							+-Applying beta-rule and splitting (503), into two cases.
% 40.50/12.72  																							|-Branch one:
% 40.50/12.72  																							| (512) all_0_85_85 = e2
% 40.50/12.72  																							|
% 40.50/12.72  																								| Combining equations (512,493) yields a new equation:
% 40.50/12.72  																								| (310) e4 = e2
% 40.50/12.72  																								|
% 40.50/12.72  																								| Equations (310) can reduce 79 to:
% 40.50/12.72  																								| (311) $false
% 40.50/12.72  																								|
% 40.50/12.72  																								|-The branch is then unsatisfiable
% 40.50/12.72  																							|-Branch two:
% 40.50/12.72  																							| (515)  ~ (all_0_85_85 = e2)
% 40.50/12.72  																							| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 40.50/12.72  																							|
% 40.50/12.72  																								+-Applying beta-rule and splitting (516), into two cases.
% 40.50/12.72  																								|-Branch one:
% 40.50/12.72  																								| (370) all_0_88_88 = e2
% 40.50/12.72  																								|
% 40.50/12.72  																									| Combining equations (507,370) yields a new equation:
% 40.50/12.72  																									| (379) e2 = e0
% 40.50/12.72  																									|
% 40.50/12.72  																									| Equations (379) can reduce 76 to:
% 40.50/12.72  																									| (311) $false
% 40.50/12.72  																									|
% 40.50/12.72  																									|-The branch is then unsatisfiable
% 40.50/12.72  																								|-Branch two:
% 40.50/12.72  																								| (351)  ~ (all_0_88_88 = e2)
% 40.50/12.72  																								| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 40.50/12.72  																								|
% 40.50/12.72  																									+-Applying beta-rule and splitting (521), into two cases.
% 40.50/12.72  																									|-Branch one:
% 40.50/12.72  																									| (522) all_0_93_93 = e2
% 40.50/12.72  																									|
% 40.50/12.72  																										| Equations (522) can reduce 300 to:
% 40.50/12.72  																										| (311) $false
% 40.50/12.72  																										|
% 40.50/12.72  																										|-The branch is then unsatisfiable
% 40.50/12.72  																									|-Branch two:
% 40.50/12.72  																									| (300)  ~ (all_0_93_93 = e2)
% 40.50/12.72  																									| (525) all_0_98_98 = e2
% 40.50/12.72  																									|
% 40.50/12.72  																										| Equations (525) can reduce 13 to:
% 40.50/12.72  																										| (300)  ~ (all_0_93_93 = e2)
% 40.50/12.72  																										|
% 40.50/12.72  																										| Equations (525) can reduce 148 to:
% 40.58/12.72  																										| (527)  ~ (all_0_97_97 = e2)
% 40.58/12.72  																										|
% 40.58/12.72  																										| Equations (525) can reduce 321 to:
% 40.58/12.72  																										| (528)  ~ (e4 = e2)
% 40.58/12.72  																										|
% 40.58/12.72  																										| Simplifying 528 yields:
% 40.58/12.72  																										| (79)  ~ (e4 = e2)
% 40.58/12.72  																										|
% 40.58/12.72  																										+-Applying beta-rule and splitting (41), into two cases.
% 40.58/12.72  																										|-Branch one:
% 40.58/12.72  																										| (530) all_0_82_82 = e2
% 40.58/12.72  																										|
% 40.58/12.72  																											| Equations (530) can reduce 347 to:
% 40.58/12.72  																											| (311) $false
% 40.58/12.72  																											|
% 40.58/12.72  																											|-The branch is then unsatisfiable
% 40.58/12.72  																										|-Branch two:
% 40.58/12.72  																										| (347)  ~ (all_0_82_82 = e2)
% 40.58/12.72  																										| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 40.58/12.72  																										|
% 40.58/12.72  																											+-Applying beta-rule and splitting (533), into two cases.
% 40.58/12.72  																											|-Branch one:
% 40.58/12.72  																											| (453) all_0_83_83 = e2
% 40.58/12.72  																											|
% 40.58/12.72  																												| Equations (453) can reduce 398 to:
% 40.58/12.72  																												| (311) $false
% 40.58/12.72  																												|
% 40.58/12.72  																												|-The branch is then unsatisfiable
% 40.58/12.72  																											|-Branch two:
% 40.58/12.72  																											| (398)  ~ (all_0_83_83 = e2)
% 40.58/12.72  																											| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 40.58/12.72  																											|
% 40.58/12.72  																												+-Applying beta-rule and splitting (112), into two cases.
% 40.58/12.72  																												|-Branch one:
% 40.58/12.72  																												| (538) all_0_97_97 = e2
% 40.58/12.72  																												|
% 40.58/12.72  																													| Equations (538) can reduce 527 to:
% 40.58/12.72  																													| (311) $false
% 40.58/12.72  																													|
% 40.58/12.72  																													|-The branch is then unsatisfiable
% 40.58/12.72  																												|-Branch two:
% 40.58/12.72  																												| (527)  ~ (all_0_97_97 = e2)
% 40.58/12.73  																												| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 40.58/12.73  																												|
% 40.58/12.73  																													+-Applying beta-rule and splitting (541), into two cases.
% 40.58/12.73  																													|-Branch one:
% 40.58/12.73  																													| (542) all_0_97_97 = e1
% 40.58/12.73  																													|
% 40.58/12.73  																														| Equations (542) can reduce 486 to:
% 40.58/12.73  																														| (311) $false
% 40.58/12.73  																														|
% 40.58/12.73  																														|-The branch is then unsatisfiable
% 40.58/12.73  																													|-Branch two:
% 40.58/12.73  																													| (486)  ~ (all_0_97_97 = e1)
% 40.58/12.73  																													| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 40.58/12.73  																													|
% 40.58/12.73  																														+-Applying beta-rule and splitting (192), into two cases.
% 40.58/12.73  																														|-Branch one:
% 40.58/12.73  																														| (546) all_0_80_80 = e2
% 40.58/12.73  																														|
% 40.58/12.73  																															| Combining equations (416,546) yields a new equation:
% 40.58/12.73  																															| (547) e3 = e2
% 40.58/12.73  																															|
% 40.58/12.73  																															| Simplifying 547 yields:
% 40.58/12.73  																															| (548) e3 = e2
% 40.58/12.73  																															|
% 40.58/12.73  																															| Equations (548) can reduce 169 to:
% 40.58/12.73  																															| (311) $false
% 40.58/12.73  																															|
% 40.58/12.73  																															|-The branch is then unsatisfiable
% 40.58/12.73  																														|-Branch two:
% 40.58/12.73  																														| (394)  ~ (all_0_80_80 = e2)
% 40.58/12.73  																														| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 40.58/12.73  																														|
% 40.58/12.73  																															+-Applying beta-rule and splitting (551), into two cases.
% 40.58/12.73  																															|-Branch one:
% 40.58/12.73  																															| (552) all_0_84_84 = e2
% 40.58/12.73  																															|
% 40.58/12.73  																																| Equations (552) can reduce 417 to:
% 40.58/12.73  																																| (528)  ~ (e4 = e2)
% 40.58/12.73  																																|
% 40.58/12.73  																																| Simplifying 528 yields:
% 40.58/12.73  																																| (79)  ~ (e4 = e2)
% 40.58/12.73  																																|
% 40.58/12.73  																																| From (552) and (122) follows:
% 40.58/12.73  																																| (555) op(e1, e2) = all_0_62_62
% 40.58/12.73  																																|
% 40.58/12.73  																																+-Applying beta-rule and splitting (545), into two cases.
% 40.58/12.73  																																|-Branch one:
% 40.58/12.73  																																| (556) all_0_97_97 = e3
% 40.58/12.73  																																|
% 40.58/12.73  																																	| Equations (556) can reduce 428 to:
% 40.58/12.73  																																	| (311) $false
% 40.58/12.73  																																	|
% 40.58/12.73  																																	|-The branch is then unsatisfiable
% 40.58/12.73  																																|-Branch two:
% 40.58/12.73  																																| (428)  ~ (all_0_97_97 = e3)
% 40.58/12.73  																																| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 40.58/12.73  																																|
% 40.58/12.73  																																	+-Applying beta-rule and splitting (559), into two cases.
% 40.58/12.73  																																	|-Branch one:
% 40.58/12.73  																																	| (560) all_0_97_97 = e0
% 40.58/12.73  																																	|
% 40.58/12.73  																																		| From (560) and (252) follows:
% 40.58/12.73  																																		| (561) op(e1, e0) = all_0_67_67
% 40.58/12.73  																																		|
% 40.58/12.73  																																		+-Applying beta-rule and splitting (65), into two cases.
% 40.58/12.73  																																		|-Branch one:
% 40.58/12.73  																																		| (522) all_0_93_93 = e2
% 40.58/12.73  																																		|
% 40.58/12.73  																																			| Equations (522) can reduce 300 to:
% 40.58/12.73  																																			| (311) $false
% 40.58/12.73  																																			|
% 40.58/12.73  																																			|-The branch is then unsatisfiable
% 40.58/12.73  																																		|-Branch two:
% 40.58/12.73  																																		| (300)  ~ (all_0_93_93 = e2)
% 40.58/12.73  																																		| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 40.58/12.73  																																		|
% 40.58/12.73  																																			+-Applying beta-rule and splitting (565), into two cases.
% 40.58/12.73  																																			|-Branch one:
% 40.58/12.73  																																			| (566) all_0_93_93 = e1
% 40.58/12.73  																																			|
% 40.58/12.73  																																				| Equations (566) can reduce 481 to:
% 40.58/12.73  																																				| (311) $false
% 40.58/12.73  																																				|
% 40.58/12.73  																																				|-The branch is then unsatisfiable
% 40.58/12.73  																																			|-Branch two:
% 40.58/12.73  																																			| (481)  ~ (all_0_93_93 = e1)
% 40.58/12.73  																																			| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 40.58/12.73  																																			|
% 40.58/12.73  																																				+-Applying beta-rule and splitting (569), into two cases.
% 40.58/12.73  																																				|-Branch one:
% 40.58/12.73  																																				| (570) all_0_93_93 = e3
% 40.58/12.73  																																				|
% 40.58/12.73  																																					| Equations (570) can reduce 44 to:
% 40.58/12.73  																																					| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.73  																																					|
% 40.58/12.73  																																					| Equations (570) can reduce 509 to:
% 40.58/12.73  																																					| (50)  ~ (e3 = e0)
% 40.58/12.73  																																					|
% 40.58/12.73  																																					| From (570) and (231) follows:
% 40.58/12.73  																																					| (573) op(e1, e0) = e3
% 40.58/12.73  																																					|
% 40.58/12.73  																																					| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_91_91 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = all_0_91_91, yields:
% 40.58/12.73  																																					| (574) all_0_62_62 = all_0_91_91
% 40.58/12.73  																																					|
% 40.58/12.73  																																					| Instantiating formula (262) with e1, e1, all_0_64_64, e4 and discharging atoms op(e1, e1) = all_0_64_64, op(e1, e1) = e4, yields:
% 40.58/12.73  																																					| (575) all_0_64_64 = e4
% 40.58/12.73  																																					|
% 40.58/12.73  																																					| Instantiating formula (262) with e1, e0, e3, all_0_67_67 and discharging atoms op(e1, e0) = all_0_67_67, op(e1, e0) = e3, yields:
% 40.58/12.73  																																					| (576) all_0_67_67 = e3
% 40.58/12.73  																																					|
% 40.58/12.73  																																					+-Applying beta-rule and splitting (276), into two cases.
% 40.58/12.73  																																					|-Branch one:
% 40.58/12.73  																																					| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 40.58/12.73  																																					|
% 40.58/12.73  																																						+-Applying beta-rule and splitting (577), into two cases.
% 40.58/12.73  																																						|-Branch one:
% 40.58/12.73  																																						| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 40.58/12.73  																																						|
% 40.58/12.73  																																							+-Applying beta-rule and splitting (578), into two cases.
% 40.58/12.73  																																							|-Branch one:
% 40.58/12.73  																																							| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 40.58/12.73  																																							|
% 40.58/12.73  																																								| Applying alpha-rule on (579) yields:
% 40.58/12.73  																																								| (580) all_0_60_60 = e4
% 40.58/12.73  																																								| (581)  ~ (all_0_61_61 = e1)
% 40.58/12.73  																																								|
% 40.58/12.73  																																								| Combining equations (451,580) yields a new equation:
% 40.58/12.73  																																								| (582) all_0_90_90 = e4
% 40.58/12.73  																																								|
% 40.58/12.73  																																								| Simplifying 582 yields:
% 40.58/12.73  																																								| (583) all_0_90_90 = e4
% 40.58/12.73  																																								|
% 40.58/12.73  																																								| Equations (583) can reduce 467 to:
% 40.58/12.73  																																								| (311) $false
% 40.58/12.73  																																								|
% 40.58/12.73  																																								|-The branch is then unsatisfiable
% 40.58/12.73  																																							|-Branch two:
% 40.58/12.73  																																							| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 40.58/12.73  																																							|
% 40.58/12.73  																																								| Applying alpha-rule on (585) yields:
% 40.58/12.73  																																								| (586) all_0_62_62 = e3
% 40.58/12.73  																																								| (587)  ~ (all_0_63_63 = e1)
% 40.58/12.73  																																								|
% 40.58/12.73  																																								| Combining equations (586,574) yields a new equation:
% 40.58/12.73  																																								| (588) all_0_91_91 = e3
% 40.58/12.73  																																								|
% 40.58/12.73  																																								| Equations (588) can reduce 571 to:
% 40.58/12.73  																																								| (311) $false
% 40.58/12.73  																																								|
% 40.58/12.73  																																								|-The branch is then unsatisfiable
% 40.58/12.73  																																						|-Branch two:
% 40.58/12.73  																																						| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 40.58/12.73  																																						|
% 40.58/12.73  																																							| Applying alpha-rule on (590) yields:
% 40.58/12.73  																																							| (591) all_0_64_64 = e2
% 40.58/12.73  																																							| (592)  ~ (all_0_65_65 = e1)
% 40.58/12.73  																																							|
% 40.58/12.73  																																							| Combining equations (575,591) yields a new equation:
% 40.58/12.73  																																							| (309) e4 = e2
% 40.58/12.73  																																							|
% 40.58/12.73  																																							| Simplifying 309 yields:
% 40.58/12.73  																																							| (310) e4 = e2
% 40.58/12.73  																																							|
% 40.58/12.73  																																							| Equations (310) can reduce 79 to:
% 40.58/12.73  																																							| (311) $false
% 40.58/12.73  																																							|
% 40.58/12.73  																																							|-The branch is then unsatisfiable
% 40.58/12.73  																																					|-Branch two:
% 40.58/12.73  																																					| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 40.58/12.73  																																					|
% 40.58/12.73  																																						| Applying alpha-rule on (596) yields:
% 40.58/12.73  																																						| (597) all_0_67_67 = e0
% 40.58/12.73  																																						| (598)  ~ (all_0_68_68 = e1)
% 40.58/12.73  																																						|
% 40.58/12.73  																																						| Combining equations (576,597) yields a new equation:
% 40.58/12.73  																																						| (599) e3 = e0
% 40.58/12.73  																																						|
% 40.58/12.73  																																						| Simplifying 599 yields:
% 40.58/12.73  																																						| (600) e3 = e0
% 40.58/12.73  																																						|
% 40.58/12.73  																																						| Equations (600) can reduce 50 to:
% 40.58/12.73  																																						| (311) $false
% 40.58/12.73  																																						|
% 40.58/12.73  																																						|-The branch is then unsatisfiable
% 40.58/12.73  																																				|-Branch two:
% 40.58/12.73  																																				| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.73  																																				| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 40.58/12.73  																																				|
% 40.58/12.73  																																					+-Applying beta-rule and splitting (603), into two cases.
% 40.58/12.73  																																					|-Branch one:
% 40.58/12.73  																																					| (604) all_0_93_93 = e0
% 40.58/12.73  																																					|
% 40.58/12.73  																																						| Equations (604) can reduce 509 to:
% 40.58/12.73  																																						| (311) $false
% 40.58/12.73  																																						|
% 40.58/12.73  																																						|-The branch is then unsatisfiable
% 40.58/12.73  																																					|-Branch two:
% 40.58/12.73  																																					| (509)  ~ (all_0_93_93 = e0)
% 40.58/12.73  																																					| (607) all_0_93_93 = e4
% 40.58/12.73  																																					|
% 40.58/12.73  																																						| Equations (607) can reduce 496 to:
% 40.58/12.73  																																						| (311) $false
% 40.58/12.73  																																						|
% 40.58/12.73  																																						|-The branch is then unsatisfiable
% 40.58/12.73  																																	|-Branch two:
% 40.58/12.73  																																	| (609)  ~ (all_0_97_97 = e0)
% 40.58/12.73  																																	| (610) all_0_97_97 = e4
% 40.58/12.73  																																	|
% 40.58/12.73  																																		| Equations (610) can reduce 319 to:
% 40.58/12.73  																																		| (311) $false
% 40.58/12.73  																																		|
% 40.58/12.73  																																		|-The branch is then unsatisfiable
% 40.58/12.73  																															|-Branch two:
% 40.58/12.73  																															| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.73  																															| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 40.58/12.74  																															|
% 40.58/12.74  																																+-Applying beta-rule and splitting (92), into two cases.
% 40.58/12.74  																																|-Branch one:
% 40.58/12.74  																																| (552) all_0_84_84 = e2
% 40.58/12.74  																																|
% 40.58/12.74  																																	| Equations (552) can reduce 612 to:
% 40.58/12.74  																																	| (311) $false
% 40.58/12.74  																																	|
% 40.58/12.74  																																	|-The branch is then unsatisfiable
% 40.58/12.74  																																|-Branch two:
% 40.58/12.74  																																| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.74  																																| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 40.58/12.74  																																|
% 40.58/12.74  																																	+-Applying beta-rule and splitting (537), into two cases.
% 40.58/12.74  																																	|-Branch one:
% 40.58/12.74  																																	| (552) all_0_84_84 = e2
% 40.58/12.74  																																	|
% 40.58/12.74  																																		| Equations (552) can reduce 612 to:
% 40.58/12.74  																																		| (311) $false
% 40.58/12.74  																																		|
% 40.58/12.74  																																		|-The branch is then unsatisfiable
% 40.58/12.74  																																	|-Branch two:
% 40.58/12.74  																																	| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.74  																																	| (512) all_0_85_85 = e2
% 40.58/12.74  																																	|
% 40.58/12.74  																																		| Combining equations (493,512) yields a new equation:
% 40.58/12.74  																																		| (309) e4 = e2
% 40.58/12.74  																																		|
% 40.58/12.74  																																		| Simplifying 309 yields:
% 40.58/12.74  																																		| (310) e4 = e2
% 40.58/12.74  																																		|
% 40.58/12.74  																																		| Equations (310) can reduce 79 to:
% 40.58/12.74  																																		| (311) $false
% 40.58/12.74  																																		|
% 40.58/12.74  																																		|-The branch is then unsatisfiable
% 40.58/12.74  																			|-Branch two:
% 40.58/12.74  																			| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.74  																			| (504) all_0_88_88 = e1
% 40.58/12.74  																			|
% 40.58/12.74  																				| Equations (504) can reduce 479 to:
% 40.58/12.74  																				| (311) $false
% 40.58/12.74  																				|
% 40.58/12.74  																				|-The branch is then unsatisfiable
% 40.58/12.74  																		|-Branch two:
% 40.58/12.74  																		| (628)  ~ (all_0_81_81 = e1)
% 40.58/12.74  																		| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 40.58/12.74  																		|
% 40.58/12.74  																			+-Applying beta-rule and splitting (472), into two cases.
% 40.58/12.74  																			|-Branch one:
% 40.58/12.74  																			| (438) all_0_84_84 = e4
% 40.58/12.74  																			|
% 40.58/12.74  																				| Equations (438) can reduce 417 to:
% 40.58/12.74  																				| (311) $false
% 40.58/12.74  																				|
% 40.58/12.74  																				|-The branch is then unsatisfiable
% 40.58/12.74  																			|-Branch two:
% 40.58/12.74  																			| (417)  ~ (all_0_84_84 = e4)
% 40.58/12.74  																			| (493) all_0_85_85 = e4
% 40.58/12.74  																			|
% 40.58/12.74  																				| Equations (493) can reduce 118 to:
% 40.58/12.74  																				| (634)  ~ (all_0_81_81 = e4)
% 40.58/12.74  																				|
% 40.58/12.74  																				+-Applying beta-rule and splitting (629), into two cases.
% 40.58/12.74  																				|-Branch one:
% 40.58/12.74  																				| (635) all_0_81_81 = e3
% 40.58/12.74  																				|
% 40.58/12.74  																					| Equations (635) can reduce 420 to:
% 40.58/12.74  																					| (311) $false
% 40.58/12.74  																					|
% 40.58/12.74  																					|-The branch is then unsatisfiable
% 40.58/12.74  																				|-Branch two:
% 40.58/12.74  																				| (420)  ~ (all_0_81_81 = e3)
% 40.58/12.74  																				| (638) all_0_81_81 = e4
% 40.58/12.74  																				|
% 40.58/12.74  																					| Equations (638) can reduce 634 to:
% 40.58/12.74  																					| (311) $false
% 40.58/12.74  																					|
% 40.58/12.74  																					|-The branch is then unsatisfiable
% 40.58/12.74  															|-Branch two:
% 40.58/12.74  															| (640)  ~ (all_0_78_78 = e4)
% 40.58/12.74  															| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 40.58/12.74  															|
% 40.58/12.74  																+-Applying beta-rule and splitting (641), into two cases.
% 40.58/12.74  																|-Branch one:
% 40.58/12.74  																| (433) all_0_80_80 = e4
% 40.58/12.74  																|
% 40.58/12.74  																	| Combining equations (416,433) yields a new equation:
% 40.58/12.74  																	| (434) e4 = e3
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (434) can reduce 177 to:
% 40.58/12.74  																	| (311) $false
% 40.58/12.74  																	|
% 40.58/12.74  																	|-The branch is then unsatisfiable
% 40.58/12.74  																|-Branch two:
% 40.58/12.74  																| (436)  ~ (all_0_80_80 = e4)
% 40.58/12.74  																| (638) all_0_81_81 = e4
% 40.58/12.74  																|
% 40.58/12.74  																	| Equations (638) can reduce 118 to:
% 40.58/12.74  																	| (647)  ~ (all_0_85_85 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Simplifying 647 yields:
% 40.58/12.74  																	| (648)  ~ (all_0_85_85 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (638) can reduce 266 to:
% 40.58/12.74  																	| (649)  ~ (all_0_88_88 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Simplifying 649 yields:
% 40.58/12.74  																	| (93)  ~ (all_0_88_88 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (638) can reduce 277 to:
% 40.58/12.74  																	| (495)  ~ (all_0_93_93 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Simplifying 495 yields:
% 40.58/12.74  																	| (496)  ~ (all_0_93_93 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (638) can reduce 5 to:
% 40.58/12.74  																	| (320)  ~ (all_0_98_98 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Simplifying 320 yields:
% 40.58/12.74  																	| (321)  ~ (all_0_98_98 = e4)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (638) can reduce 420 to:
% 40.58/12.74  																	| (177)  ~ (e4 = e3)
% 40.58/12.74  																	|
% 40.58/12.74  																	| Equations (638) can reduce 257 to:
% 40.58/12.74  																	| (23)  ~ (e4 = e0)
% 40.58/12.74  																	|
% 40.58/12.74  																	| From (638) and (68) follows:
% 40.58/12.74  																	| (657) op(e4, e4) = all_0_70_70
% 40.58/12.74  																	|
% 40.58/12.74  																	+-Applying beta-rule and splitting (109), into two cases.
% 40.58/12.74  																	|-Branch one:
% 40.58/12.74  																	| (469) all_0_82_82 = e4
% 40.58/12.74  																	|
% 40.58/12.74  																		| Equations (469) can reduce 193 to:
% 40.58/12.74  																		| (640)  ~ (all_0_78_78 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 116 to:
% 40.58/12.74  																		| (660)  ~ (all_0_83_83 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Simplifying 660 yields:
% 40.58/12.74  																		| (155)  ~ (all_0_83_83 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 7 to:
% 40.58/12.74  																		| (662)  ~ (all_0_84_84 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Simplifying 662 yields:
% 40.58/12.74  																		| (417)  ~ (all_0_84_84 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 209 to:
% 40.58/12.74  																		| (647)  ~ (all_0_85_85 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Simplifying 647 yields:
% 40.58/12.74  																		| (648)  ~ (all_0_85_85 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 255 to:
% 40.58/12.74  																		| (466)  ~ (all_0_90_90 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Simplifying 466 yields:
% 40.58/12.74  																		| (467)  ~ (all_0_90_90 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 200 to:
% 40.58/12.74  																		| (314)  ~ (all_0_95_95 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Simplifying 314 yields:
% 40.58/12.74  																		| (315)  ~ (all_0_95_95 = e4)
% 40.58/12.74  																		|
% 40.58/12.74  																		| Equations (469) can reduce 347 to:
% 40.58/12.74  																		| (79)  ~ (e4 = e2)
% 40.58/12.74  																		|
% 40.58/12.74  																		| From (469) and (61) follows:
% 40.58/12.74  																		| (671) op(e3, e3) = e4
% 40.58/12.74  																		|
% 40.58/12.74  																		+-Applying beta-rule and splitting (24), into two cases.
% 40.58/12.74  																		|-Branch one:
% 40.58/12.74  																		| (400) all_0_78_78 = e2
% 40.58/12.74  																		|
% 40.58/12.74  																			| Equations (400) can reduce 346 to:
% 40.58/12.74  																			| (311) $false
% 40.58/12.74  																			|
% 40.58/12.74  																			|-The branch is then unsatisfiable
% 40.58/12.74  																		|-Branch two:
% 40.58/12.74  																		| (346)  ~ (all_0_78_78 = e2)
% 40.58/12.74  																		| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 40.58/12.74  																		|
% 40.58/12.74  																			+-Applying beta-rule and splitting (129), into two cases.
% 40.58/12.74  																			|-Branch one:
% 40.58/12.74  																			| (676) all_0_78_78 = e1
% 40.58/12.74  																			|
% 40.58/12.74  																				| Equations (676) can reduce 85 to:
% 40.58/12.74  																				| (677)  ~ (all_0_90_90 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Simplifying 677 yields:
% 40.58/12.74  																				| (678)  ~ (all_0_90_90 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Equations (676) can reduce 125 to:
% 40.58/12.74  																				| (679)  ~ (all_0_95_95 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Simplifying 679 yields:
% 40.58/12.74  																				| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Equations (676) can reduce 640 to:
% 40.58/12.74  																				| (681)  ~ (e4 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Simplifying 681 yields:
% 40.58/12.74  																				| (256)  ~ (e4 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Equations (676) can reduce 418 to:
% 40.58/12.74  																				| (683)  ~ (e3 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| Simplifying 683 yields:
% 40.58/12.74  																				| (20)  ~ (e3 = e1)
% 40.58/12.74  																				|
% 40.58/12.74  																				| From (676) and (138) follows:
% 40.58/12.74  																				| (685) op(e3, e1) = all_0_43_43
% 40.58/12.74  																				|
% 40.58/12.74  																				| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 40.58/12.74  																				| (686) all_0_70_70 = e0
% 40.58/12.74  																				|
% 40.58/12.74  																				| Instantiating formula (262) with e3, e1, all_0_43_43, all_0_84_84 and discharging atoms op(e3, e1) = all_0_43_43, op(e3, e1) = all_0_84_84, yields:
% 40.58/12.74  																				| (687) all_0_43_43 = all_0_84_84
% 40.58/12.74  																				|
% 40.58/12.74  																				+-Applying beta-rule and splitting (92), into two cases.
% 40.58/12.74  																				|-Branch one:
% 40.58/12.74  																				| (552) all_0_84_84 = e2
% 40.58/12.74  																				|
% 40.58/12.74  																					| Combining equations (552,687) yields a new equation:
% 40.58/12.74  																					| (689) all_0_43_43 = e2
% 40.58/12.74  																					|
% 40.58/12.74  																					| Equations (552) can reduce 223 to:
% 40.58/12.74  																					| (398)  ~ (all_0_83_83 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Equations (552) can reduce 154 to:
% 40.58/12.74  																					| (691)  ~ (all_0_85_85 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Simplifying 691 yields:
% 40.58/12.74  																					| (515)  ~ (all_0_85_85 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Equations (552) can reduce 124 to:
% 40.58/12.74  																					| (348)  ~ (all_0_87_87 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Simplifying 348 yields:
% 40.58/12.74  																					| (349)  ~ (all_0_87_87 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Equations (552) can reduce 417 to:
% 40.58/12.74  																					| (528)  ~ (e4 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Simplifying 528 yields:
% 40.58/12.74  																					| (79)  ~ (e4 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Equations (552) can reduce 422 to:
% 40.58/12.74  																					| (356)  ~ (e3 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					| Simplifying 356 yields:
% 40.58/12.74  																					| (169)  ~ (e3 = e2)
% 40.58/12.74  																					|
% 40.58/12.74  																					+-Applying beta-rule and splitting (205), into two cases.
% 40.58/12.74  																					|-Branch one:
% 40.58/12.74  																					| (473) all_0_81_81 = e2
% 40.58/12.74  																					|
% 40.58/12.74  																						| Combining equations (638,473) yields a new equation:
% 40.58/12.74  																						| (309) e4 = e2
% 40.58/12.74  																						|
% 40.58/12.74  																						| Simplifying 309 yields:
% 40.58/12.74  																						| (310) e4 = e2
% 40.58/12.74  																						|
% 40.58/12.74  																						| Equations (310) can reduce 79 to:
% 40.58/12.74  																						| (311) $false
% 40.58/12.74  																						|
% 40.58/12.74  																						|-The branch is then unsatisfiable
% 40.58/12.74  																					|-Branch two:
% 40.58/12.74  																					| (396)  ~ (all_0_81_81 = e2)
% 40.58/12.74  																					| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 40.58/12.74  																					|
% 40.58/12.74  																						+-Applying beta-rule and splitting (503), into two cases.
% 40.58/12.74  																						|-Branch one:
% 40.58/12.74  																						| (512) all_0_85_85 = e2
% 40.58/12.74  																						|
% 40.58/12.74  																							| Equations (512) can reduce 515 to:
% 40.58/12.74  																							| (311) $false
% 40.58/12.74  																							|
% 40.58/12.74  																							|-The branch is then unsatisfiable
% 40.58/12.74  																						|-Branch two:
% 40.58/12.74  																						| (515)  ~ (all_0_85_85 = e2)
% 40.58/12.74  																						| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 40.58/12.74  																						|
% 40.58/12.74  																							+-Applying beta-rule and splitting (516), into two cases.
% 40.58/12.74  																							|-Branch one:
% 40.58/12.74  																							| (370) all_0_88_88 = e2
% 40.58/12.74  																							|
% 40.58/12.74  																								| Equations (370) can reduce 351 to:
% 40.58/12.74  																								| (311) $false
% 40.58/12.74  																								|
% 40.58/12.74  																								|-The branch is then unsatisfiable
% 40.58/12.74  																							|-Branch two:
% 40.58/12.74  																							| (351)  ~ (all_0_88_88 = e2)
% 40.58/12.74  																							| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 40.58/12.74  																							|
% 40.58/12.74  																								+-Applying beta-rule and splitting (521), into two cases.
% 40.58/12.74  																								|-Branch one:
% 40.58/12.74  																								| (522) all_0_93_93 = e2
% 40.58/12.74  																								|
% 40.58/12.74  																									| Equations (522) can reduce 300 to:
% 40.58/12.74  																									| (311) $false
% 40.58/12.74  																									|
% 40.58/12.74  																									|-The branch is then unsatisfiable
% 40.58/12.74  																								|-Branch two:
% 40.58/12.74  																								| (300)  ~ (all_0_93_93 = e2)
% 40.58/12.74  																								| (525) all_0_98_98 = e2
% 40.58/12.74  																								|
% 40.58/12.74  																									| Equations (525) can reduce 75 to:
% 40.58/12.74  																									| (515)  ~ (all_0_85_85 = e2)
% 40.58/12.74  																									|
% 40.58/12.74  																									| Equations (525) can reduce 31 to:
% 40.58/12.74  																									| (351)  ~ (all_0_88_88 = e2)
% 40.58/12.74  																									|
% 40.58/12.74  																									| Equations (525) can reduce 107 to:
% 40.58/12.74  																									| (355)  ~ (all_0_95_95 = e2)
% 40.58/12.74  																									|
% 40.58/12.74  																									| Equations (525) can reduce 321 to:
% 40.58/12.74  																									| (528)  ~ (e4 = e2)
% 40.58/12.74  																									|
% 40.58/12.74  																									| Simplifying 528 yields:
% 40.58/12.74  																									| (79)  ~ (e4 = e2)
% 40.58/12.74  																									|
% 40.58/12.74  																									+-Applying beta-rule and splitting (182), into two cases.
% 40.58/12.74  																									|-Branch one:
% 40.58/12.74  																									| (512) all_0_85_85 = e2
% 40.58/12.74  																									|
% 40.58/12.74  																										| Equations (512) can reduce 515 to:
% 40.58/12.74  																										| (311) $false
% 40.58/12.74  																										|
% 40.58/12.74  																										|-The branch is then unsatisfiable
% 40.58/12.74  																									|-Branch two:
% 40.58/12.74  																									| (515)  ~ (all_0_85_85 = e2)
% 40.58/12.74  																									| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 40.58/12.74  																									|
% 40.58/12.74  																										+-Applying beta-rule and splitting (186), into two cases.
% 40.58/12.74  																										|-Branch one:
% 40.58/12.74  																										| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 40.58/12.74  																										|
% 40.58/12.74  																											+-Applying beta-rule and splitting (726), into two cases.
% 40.58/12.74  																											|-Branch one:
% 40.58/12.74  																											| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 40.58/12.74  																											|
% 40.58/12.74  																												+-Applying beta-rule and splitting (727), into two cases.
% 40.58/12.74  																												|-Branch one:
% 40.58/12.74  																												| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 40.58/12.74  																												|
% 40.58/12.74  																													| Applying alpha-rule on (728) yields:
% 40.58/12.74  																													| (729) all_0_43_43 = e4
% 40.58/12.74  																													| (730)  ~ (all_0_44_44 = e3)
% 40.58/12.74  																													|
% 40.58/12.74  																													| Combining equations (729,689) yields a new equation:
% 40.58/12.74  																													| (309) e4 = e2
% 40.58/12.74  																													|
% 40.58/12.74  																													| Simplifying 309 yields:
% 40.58/12.74  																													| (310) e4 = e2
% 40.58/12.74  																													|
% 40.58/12.74  																													| Equations (310) can reduce 79 to:
% 40.58/12.74  																													| (311) $false
% 40.58/12.74  																													|
% 40.58/12.74  																													|-The branch is then unsatisfiable
% 40.58/12.74  																												|-Branch two:
% 40.58/12.74  																												| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 40.58/12.74  																												|
% 40.58/12.74  																													| Applying alpha-rule on (734) yields:
% 40.58/12.74  																													| (735) all_0_46_46 = e2
% 40.58/12.74  																													| (736)  ~ (all_0_47_47 = e3)
% 40.58/12.74  																													|
% 40.58/12.74  																													| Combining equations (363,735) yields a new equation:
% 40.58/12.74  																													| (737) all_0_83_83 = e2
% 40.58/12.74  																													|
% 40.58/12.74  																													| Simplifying 737 yields:
% 40.58/12.74  																													| (453) all_0_83_83 = e2
% 40.58/12.74  																													|
% 40.58/12.74  																													| Equations (453) can reduce 398 to:
% 40.58/12.74  																													| (311) $false
% 40.58/12.74  																													|
% 40.58/12.74  																													|-The branch is then unsatisfiable
% 40.58/12.74  																											|-Branch two:
% 40.58/12.74  																											| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 40.58/12.74  																											|
% 40.58/12.75  																												| Applying alpha-rule on (740) yields:
% 40.58/12.75  																												| (741) all_0_48_48 = e1
% 40.58/12.75  																												| (742)  ~ (all_0_49_49 = e3)
% 40.58/12.75  																												|
% 40.58/12.75  																												| From (741) and (217) follows:
% 40.58/12.75  																												| (743) op(e3, all_0_90_90) = e1
% 40.58/12.75  																												|
% 40.58/12.75  																												+-Applying beta-rule and splitting (270), into two cases.
% 40.58/12.75  																												|-Branch one:
% 40.58/12.75  																												| (744) all_0_95_95 = e3
% 40.58/12.75  																												|
% 40.58/12.75  																													| Equations (744) can reduce 229 to:
% 40.58/12.75  																													| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.75  																													|
% 40.58/12.75  																													+-Applying beta-rule and splitting (27), into two cases.
% 40.58/12.75  																													|-Branch one:
% 40.58/12.75  																													| (746) all_0_90_90 = e2
% 40.58/12.75  																													|
% 40.58/12.75  																														| Equations (746) can reduce 294 to:
% 40.58/12.75  																														| (311) $false
% 40.58/12.75  																														|
% 40.58/12.75  																														|-The branch is then unsatisfiable
% 40.58/12.75  																													|-Branch two:
% 40.58/12.75  																													| (294)  ~ (all_0_90_90 = e2)
% 40.58/12.75  																													| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 40.58/12.75  																													|
% 40.58/12.75  																														+-Applying beta-rule and splitting (749), into two cases.
% 40.58/12.75  																														|-Branch one:
% 40.58/12.75  																														| (750) all_0_90_90 = e1
% 40.58/12.75  																														|
% 40.58/12.75  																															| Equations (750) can reduce 678 to:
% 40.58/12.75  																															| (311) $false
% 40.58/12.75  																															|
% 40.58/12.75  																															|-The branch is then unsatisfiable
% 40.58/12.75  																														|-Branch two:
% 40.58/12.75  																														| (678)  ~ (all_0_90_90 = e1)
% 40.58/12.75  																														| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 40.58/12.75  																														|
% 40.58/12.75  																															+-Applying beta-rule and splitting (753), into two cases.
% 40.58/12.75  																															|-Branch one:
% 40.58/12.75  																															| (754) all_0_90_90 = e3
% 40.58/12.75  																															|
% 40.58/12.75  																																| Equations (754) can reduce 745 to:
% 40.58/12.75  																																| (311) $false
% 40.58/12.75  																																|
% 40.58/12.75  																																|-The branch is then unsatisfiable
% 40.58/12.75  																															|-Branch two:
% 40.58/12.75  																															| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.75  																															| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 40.58/12.75  																															|
% 40.58/12.75  																																+-Applying beta-rule and splitting (757), into two cases.
% 40.58/12.75  																																|-Branch one:
% 40.58/12.75  																																| (758) all_0_90_90 = e0
% 40.58/12.75  																																|
% 40.58/12.75  																																	| From (758) and (743) follows:
% 40.58/12.75  																																	| (759) op(e3, e0) = e1
% 40.58/12.75  																																	|
% 40.58/12.75  																																	| Instantiating formula (262) with e3, e0, e1, all_0_85_85 and discharging atoms op(e3, e0) = all_0_85_85, op(e3, e0) = e1, yields:
% 40.58/12.75  																																	| (760) all_0_85_85 = e1
% 40.58/12.75  																																	|
% 40.58/12.75  																																	| Equations (760) can reduce 128 to:
% 40.58/12.75  																																	| (311) $false
% 40.58/12.75  																																	|
% 40.58/12.75  																																	|-The branch is then unsatisfiable
% 40.58/12.75  																																|-Branch two:
% 40.58/12.75  																																| (762)  ~ (all_0_90_90 = e0)
% 40.58/12.75  																																| (583) all_0_90_90 = e4
% 40.58/12.75  																																|
% 40.58/12.75  																																	| Equations (583) can reduce 467 to:
% 40.58/12.75  																																	| (311) $false
% 40.58/12.75  																																	|
% 40.58/12.75  																																	|-The branch is then unsatisfiable
% 40.58/12.75  																												|-Branch two:
% 40.58/12.75  																												| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.75  																												| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 40.58/12.75  																												|
% 40.58/12.75  																													+-Applying beta-rule and splitting (99), into two cases.
% 40.58/12.75  																													|-Branch one:
% 40.58/12.75  																													| (767) all_0_95_95 = e2
% 40.58/12.75  																													|
% 40.58/12.75  																														| Equations (767) can reduce 355 to:
% 40.58/12.75  																														| (311) $false
% 40.58/12.75  																														|
% 40.58/12.75  																														|-The branch is then unsatisfiable
% 40.58/12.75  																													|-Branch two:
% 40.58/12.75  																													| (355)  ~ (all_0_95_95 = e2)
% 40.58/12.75  																													| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 40.58/12.75  																													|
% 40.58/12.75  																														+-Applying beta-rule and splitting (220), into two cases.
% 40.58/12.75  																														|-Branch one:
% 40.58/12.75  																														| (771) all_0_78_78 = e3
% 40.58/12.75  																														|
% 40.58/12.75  																															| Combining equations (676,771) yields a new equation:
% 40.58/12.75  																															| (772) e3 = e1
% 40.58/12.75  																															|
% 40.58/12.75  																															| Equations (772) can reduce 20 to:
% 40.58/12.75  																															| (311) $false
% 40.58/12.75  																															|
% 40.58/12.75  																															|-The branch is then unsatisfiable
% 40.58/12.75  																														|-Branch two:
% 40.58/12.75  																														| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.75  																														| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.75  																														|
% 40.58/12.75  																															| Equations (676) can reduce 418 to:
% 40.58/12.75  																															| (683)  ~ (e3 = e1)
% 40.58/12.75  																															|
% 40.58/12.75  																															| Simplifying 683 yields:
% 40.58/12.75  																															| (20)  ~ (e3 = e1)
% 40.58/12.75  																															|
% 40.58/12.75  																															+-Applying beta-rule and splitting (766), into two cases.
% 40.58/12.75  																															|-Branch one:
% 40.58/12.75  																															| (778) all_0_96_96 = e3
% 40.58/12.75  																															|
% 40.58/12.75  																																| Equations (778) can reduce 211 to:
% 40.58/12.75  																																| (779)  ~ (all_0_83_83 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																| Equations (778) can reduce 279 to:
% 40.58/12.75  																																| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																| Equations (778) can reduce 22 to:
% 40.58/12.75  																																| (427)  ~ (all_0_97_97 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																| Simplifying 427 yields:
% 40.58/12.75  																																| (428)  ~ (all_0_97_97 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																| Equations (778) can reduce 115 to:
% 40.58/12.75  																																| (783)  ~ (e4 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																| Simplifying 783 yields:
% 40.58/12.75  																																| (177)  ~ (e4 = e3)
% 40.58/12.75  																																|
% 40.58/12.75  																																+-Applying beta-rule and splitting (176), into two cases.
% 40.58/12.75  																																|-Branch one:
% 40.58/12.75  																																| (785) all_0_95_95 = e1
% 40.58/12.75  																																|
% 40.58/12.75  																																	| Equations (785) can reduce 680 to:
% 40.58/12.75  																																	| (311) $false
% 40.58/12.75  																																	|
% 40.58/12.75  																																	|-The branch is then unsatisfiable
% 40.58/12.75  																																|-Branch two:
% 40.58/12.75  																																| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.75  																																| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 40.58/12.75  																																|
% 40.58/12.75  																																	+-Applying beta-rule and splitting (775), into two cases.
% 40.58/12.75  																																	|-Branch one:
% 40.58/12.75  																																	| (789) all_0_82_82 = e3
% 40.58/12.75  																																	|
% 40.58/12.75  																																		| Combining equations (469,789) yields a new equation:
% 40.58/12.75  																																		| (790) e4 = e3
% 40.58/12.75  																																		|
% 40.58/12.75  																																		| Simplifying 790 yields:
% 40.58/12.75  																																		| (434) e4 = e3
% 40.58/12.75  																																		|
% 40.58/12.75  																																		| Equations (434) can reduce 177 to:
% 40.58/12.75  																																		| (311) $false
% 40.58/12.75  																																		|
% 40.58/12.75  																																		|-The branch is then unsatisfiable
% 40.58/12.75  																																	|-Branch two:
% 40.58/12.75  																																	| (793)  ~ (all_0_82_82 = e3)
% 40.58/12.75  																																	| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.75  																																	|
% 40.58/12.75  																																		+-Applying beta-rule and splitting (456), into two cases.
% 40.58/12.75  																																		|-Branch one:
% 40.58/12.75  																																		| (795) all_0_83_83 = e3
% 40.58/12.75  																																		|
% 40.58/12.75  																																			| Equations (795) can reduce 779 to:
% 40.58/12.75  																																			| (311) $false
% 40.58/12.75  																																			|
% 40.58/12.75  																																			|-The branch is then unsatisfiable
% 40.58/12.75  																																		|-Branch two:
% 40.58/12.75  																																		| (779)  ~ (all_0_83_83 = e3)
% 40.58/12.75  																																		| (798) all_0_83_83 = e0
% 40.58/12.75  																																		|
% 40.58/12.75  																																			| Equations (798) can reduce 226 to:
% 40.58/12.75  																																			| (799)  ~ (all_0_85_85 = e0)
% 40.58/12.75  																																			|
% 40.58/12.75  																																			| Simplifying 799 yields:
% 40.58/12.75  																																			| (800)  ~ (all_0_85_85 = e0)
% 40.58/12.75  																																			|
% 40.58/12.75  																																			+-Applying beta-rule and splitting (462), into two cases.
% 40.58/12.75  																																			|-Branch one:
% 40.58/12.75  																																			| (801) all_0_91_91 = e1
% 40.58/12.75  																																			|
% 40.58/12.75  																																				| Equations (801) can reduce 133 to:
% 40.58/12.75  																																				| (681)  ~ (e4 = e1)
% 40.58/12.75  																																				|
% 40.58/12.75  																																				| Simplifying 681 yields:
% 40.58/12.75  																																				| (256)  ~ (e4 = e1)
% 40.58/12.75  																																				|
% 40.58/12.75  																																				+-Applying beta-rule and splitting (725), into two cases.
% 40.58/12.75  																																				|-Branch one:
% 40.58/12.75  																																				| (804) all_0_85_85 = e3
% 40.58/12.75  																																				|
% 40.58/12.75  																																					| Equations (804) can reduce 78 to:
% 40.58/12.75  																																					| (805)  ~ (all_0_88_88 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| Simplifying 805 yields:
% 40.58/12.75  																																					| (191)  ~ (all_0_88_88 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| Equations (804) can reduce 201 to:
% 40.58/12.75  																																					| (807)  ~ (all_0_93_93 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| Simplifying 807 yields:
% 40.58/12.75  																																					| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| Equations (804) can reduce 648 to:
% 40.58/12.75  																																					| (783)  ~ (e4 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| Simplifying 783 yields:
% 40.58/12.75  																																					| (177)  ~ (e4 = e3)
% 40.58/12.75  																																					|
% 40.58/12.75  																																					| From (804) and (197) follows:
% 40.58/12.75  																																					| (811) op(e3, e3) = all_0_72_72
% 40.58/12.75  																																					|
% 40.58/12.75  																																					+-Applying beta-rule and splitting (108), into two cases.
% 40.58/12.75  																																					|-Branch one:
% 40.58/12.75  																																					| (477) all_0_81_81 = e1
% 40.58/12.75  																																					|
% 40.58/12.75  																																						| Combining equations (638,477) yields a new equation:
% 40.58/12.75  																																						| (813) e4 = e1
% 40.58/12.75  																																						|
% 40.58/12.75  																																						| Simplifying 813 yields:
% 40.58/12.75  																																						| (814) e4 = e1
% 40.58/12.75  																																						|
% 40.58/12.75  																																						| Equations (814) can reduce 256 to:
% 40.58/12.75  																																						| (311) $false
% 40.58/12.75  																																						|
% 40.58/12.75  																																						|-The branch is then unsatisfiable
% 40.58/12.75  																																					|-Branch two:
% 40.58/12.75  																																					| (628)  ~ (all_0_81_81 = e1)
% 40.58/12.75  																																					| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.75  																																					|
% 40.58/12.75  																																						+-Applying beta-rule and splitting (817), into two cases.
% 40.58/12.75  																																						|-Branch one:
% 40.58/12.75  																																						| (504) all_0_88_88 = e1
% 40.58/12.75  																																						|
% 40.58/12.75  																																							| Equations (504) can reduce 181 to:
% 40.58/12.75  																																							| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.75  																																							|
% 40.58/12.75  																																							| Equations (504) can reduce 93 to:
% 40.58/12.75  																																							| (681)  ~ (e4 = e1)
% 40.58/12.75  																																							|
% 40.58/12.75  																																							| Simplifying 681 yields:
% 40.58/12.75  																																							| (256)  ~ (e4 = e1)
% 40.58/12.75  																																							|
% 40.58/12.75  																																							| Equations (504) can reduce 191 to:
% 40.58/12.75  																																							| (683)  ~ (e3 = e1)
% 40.58/12.75  																																							|
% 40.58/12.75  																																							| Simplifying 683 yields:
% 40.58/12.75  																																							| (20)  ~ (e3 = e1)
% 40.58/12.75  																																							|
% 40.58/12.75  																																							+-Applying beta-rule and splitting (151), into two cases.
% 40.58/12.75  																																							|-Branch one:
% 40.58/12.75  																																							| (824) all_0_80_80 = e1
% 40.58/12.75  																																							|
% 40.58/12.75  																																								| Combining equations (416,824) yields a new equation:
% 40.58/12.75  																																								| (825) e3 = e1
% 40.58/12.75  																																								|
% 40.58/12.75  																																								| Simplifying 825 yields:
% 40.58/12.75  																																								| (772) e3 = e1
% 40.58/12.75  																																								|
% 40.58/12.75  																																								| Equations (772) can reduce 20 to:
% 40.58/12.75  																																								| (311) $false
% 40.58/12.75  																																								|
% 40.58/12.75  																																								|-The branch is then unsatisfiable
% 40.58/12.75  																																							|-Branch two:
% 40.58/12.75  																																							| (828)  ~ (all_0_80_80 = e1)
% 40.58/12.75  																																							| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.75  																																							|
% 40.58/12.75  																																								+-Applying beta-rule and splitting (282), into two cases.
% 40.58/12.75  																																								|-Branch one:
% 40.58/12.75  																																								| (754) all_0_90_90 = e3
% 40.58/12.75  																																								|
% 40.58/12.75  																																									| From (754) and (743) follows:
% 40.58/12.75  																																									| (831) op(e3, e3) = e1
% 40.58/12.75  																																									|
% 40.58/12.75  																																									+-Applying beta-rule and splitting (829), into two cases.
% 40.58/12.75  																																									|-Branch one:
% 40.58/12.75  																																									| (482) all_0_87_87 = e1
% 40.58/12.75  																																									|
% 40.58/12.75  																																										| Equations (482) can reduce 625 to:
% 40.58/12.75  																																										| (311) $false
% 40.58/12.75  																																										|
% 40.58/12.75  																																										|-The branch is then unsatisfiable
% 40.58/12.75  																																									|-Branch two:
% 40.58/12.75  																																									| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.75  																																									| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.75  																																									|
% 40.58/12.75  																																										+-Applying beta-rule and splitting (835), into two cases.
% 40.58/12.75  																																										|-Branch one:
% 40.58/12.75  																																										| (836) all_0_92_92 = e1
% 40.58/12.75  																																										|
% 40.58/12.75  																																											| Combining equations (442,836) yields a new equation:
% 40.58/12.75  																																											| (813) e4 = e1
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Simplifying 813 yields:
% 40.58/12.75  																																											| (814) e4 = e1
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Equations (814) can reduce 256 to:
% 40.58/12.75  																																											| (311) $false
% 40.58/12.75  																																											|
% 40.58/12.75  																																											|-The branch is then unsatisfiable
% 40.58/12.75  																																										|-Branch two:
% 40.58/12.75  																																										| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.75  																																										| (542) all_0_97_97 = e1
% 40.58/12.75  																																										|
% 40.58/12.75  																																											| Equations (542) can reduce 319 to:
% 40.58/12.75  																																											| (681)  ~ (e4 = e1)
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Simplifying 681 yields:
% 40.58/12.75  																																											| (256)  ~ (e4 = e1)
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Instantiating formula (262) with e3, e3, all_0_72_72, e4 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e4, yields:
% 40.58/12.75  																																											| (844) all_0_72_72 = e4
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Instantiating formula (262) with e3, e3, e1, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e1, yields:
% 40.58/12.75  																																											| (845) all_0_72_72 = e1
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Combining equations (845,844) yields a new equation:
% 40.58/12.75  																																											| (814) e4 = e1
% 40.58/12.75  																																											|
% 40.58/12.75  																																											| Equations (814) can reduce 256 to:
% 40.58/12.75  																																											| (311) $false
% 40.58/12.75  																																											|
% 40.58/12.75  																																											|-The branch is then unsatisfiable
% 40.58/12.75  																																								|-Branch two:
% 40.58/12.75  																																								| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.75  																																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.75  																																								|
% 40.58/12.75  																																									+-Applying beta-rule and splitting (770), into two cases.
% 40.58/12.75  																																									|-Branch one:
% 40.58/12.75  																																									| (785) all_0_95_95 = e1
% 40.58/12.75  																																									|
% 40.58/12.75  																																										| Equations (785) can reduce 680 to:
% 40.58/12.75  																																										| (311) $false
% 40.58/12.75  																																										|
% 40.58/12.75  																																										|-The branch is then unsatisfiable
% 40.58/12.75  																																									|-Branch two:
% 40.58/12.75  																																									| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.75  																																									| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 40.58/12.75  																																									|
% 40.58/12.75  																																										+-Applying beta-rule and splitting (853), into two cases.
% 40.58/12.75  																																										|-Branch one:
% 40.58/12.75  																																										| (744) all_0_95_95 = e3
% 40.58/12.75  																																										|
% 40.58/12.75  																																											| Equations (744) can reduce 765 to:
% 40.58/12.75  																																											| (311) $false
% 40.58/12.75  																																											|
% 40.58/12.75  																																											|-The branch is then unsatisfiable
% 40.58/12.75  																																										|-Branch two:
% 40.58/12.75  																																										| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.75  																																										| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 40.58/12.75  																																										|
% 40.58/12.75  																																											+-Applying beta-rule and splitting (857), into two cases.
% 40.58/12.75  																																											|-Branch one:
% 40.58/12.75  																																											| (858) all_0_95_95 = e0
% 40.58/12.75  																																											|
% 40.58/12.75  																																												| Equations (858) can reduce 680 to:
% 40.58/12.75  																																												| (859)  ~ (e1 = e0)
% 40.58/12.75  																																												|
% 40.58/12.75  																																												| Simplifying 859 yields:
% 40.58/12.75  																																												| (264)  ~ (e1 = e0)
% 40.58/12.75  																																												|
% 40.58/12.75  																																												+-Applying beta-rule and splitting (382), into two cases.
% 40.58/12.75  																																												|-Branch one:
% 40.58/12.75  																																												| (861) all_0_87_87 = e0
% 40.58/12.75  																																												|
% 40.58/12.75  																																													| Equations (861) can reduce 625 to:
% 40.58/12.75  																																													| (859)  ~ (e1 = e0)
% 40.58/12.75  																																													|
% 40.58/12.75  																																													| Simplifying 859 yields:
% 40.58/12.75  																																													| (264)  ~ (e1 = e0)
% 40.58/12.75  																																													|
% 40.58/12.75  																																													+-Applying beta-rule and splitting (829), into two cases.
% 40.58/12.75  																																													|-Branch one:
% 40.58/12.75  																																													| (482) all_0_87_87 = e1
% 40.58/12.75  																																													|
% 40.58/12.75  																																														| Combining equations (861,482) yields a new equation:
% 40.58/12.75  																																														| (865) e1 = e0
% 40.58/12.75  																																														|
% 40.58/12.75  																																														| Equations (865) can reduce 264 to:
% 40.58/12.75  																																														| (311) $false
% 40.58/12.75  																																														|
% 40.58/12.75  																																														|-The branch is then unsatisfiable
% 40.58/12.75  																																													|-Branch two:
% 40.58/12.75  																																													| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.76  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.76  																																													|
% 40.58/12.76  																																														+-Applying beta-rule and splitting (835), into two cases.
% 40.58/12.76  																																														|-Branch one:
% 40.58/12.76  																																														| (836) all_0_92_92 = e1
% 40.58/12.76  																																														|
% 40.58/12.76  																																															| Combining equations (442,836) yields a new equation:
% 40.58/12.76  																																															| (813) e4 = e1
% 40.58/12.76  																																															|
% 40.58/12.76  																																															| Simplifying 813 yields:
% 40.58/12.76  																																															| (814) e4 = e1
% 40.58/12.76  																																															|
% 40.58/12.76  																																															| Equations (814) can reduce 256 to:
% 40.58/12.76  																																															| (311) $false
% 40.58/12.76  																																															|
% 40.58/12.76  																																															|-The branch is then unsatisfiable
% 40.58/12.76  																																														|-Branch two:
% 40.58/12.76  																																														| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.76  																																														| (542) all_0_97_97 = e1
% 40.58/12.76  																																														|
% 40.58/12.76  																																															| Equations (542) can reduce 428 to:
% 40.58/12.76  																																															| (683)  ~ (e3 = e1)
% 40.58/12.76  																																															|
% 40.58/12.76  																																															| Simplifying 683 yields:
% 40.58/12.76  																																															| (20)  ~ (e3 = e1)
% 40.58/12.76  																																															|
% 40.58/12.76  																																															+-Applying beta-rule and splitting (849), into two cases.
% 40.58/12.76  																																															|-Branch one:
% 40.58/12.76  																																															| (588) all_0_91_91 = e3
% 40.58/12.76  																																															|
% 40.58/12.76  																																																| Combining equations (801,588) yields a new equation:
% 40.58/12.76  																																																| (772) e3 = e1
% 40.58/12.76  																																																|
% 40.58/12.76  																																																| Equations (772) can reduce 20 to:
% 40.58/12.76  																																																| (311) $false
% 40.58/12.76  																																																|
% 40.58/12.76  																																																|-The branch is then unsatisfiable
% 40.58/12.76  																																															|-Branch two:
% 40.58/12.76  																																															| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.76  																																															| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.76  																																															|
% 40.58/12.76  																																																+-Applying beta-rule and splitting (881), into two cases.
% 40.58/12.76  																																																|-Branch one:
% 40.58/12.76  																																																| (882) all_0_92_92 = e3
% 40.58/12.76  																																																|
% 40.58/12.76  																																																	| Combining equations (442,882) yields a new equation:
% 40.58/12.76  																																																	| (790) e4 = e3
% 40.58/12.76  																																																	|
% 40.58/12.76  																																																	| Simplifying 790 yields:
% 40.58/12.76  																																																	| (434) e4 = e3
% 40.58/12.76  																																																	|
% 40.58/12.76  																																																	| Equations (434) can reduce 177 to:
% 40.58/12.76  																																																	| (311) $false
% 40.58/12.76  																																																	|
% 40.58/12.76  																																																	|-The branch is then unsatisfiable
% 40.58/12.76  																																																|-Branch two:
% 40.58/12.76  																																																| (426)  ~ (all_0_92_92 = e3)
% 40.58/12.76  																																																| (570) all_0_93_93 = e3
% 40.58/12.76  																																																|
% 40.58/12.76  																																																	| Equations (570) can reduce 602 to:
% 40.58/12.76  																																																	| (311) $false
% 40.58/12.76  																																																	|
% 40.58/12.76  																																																	|-The branch is then unsatisfiable
% 40.58/12.76  																																												|-Branch two:
% 40.58/12.76  																																												| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.76  																																												| (507) all_0_88_88 = e0
% 40.58/12.76  																																												|
% 40.58/12.76  																																													| Combining equations (507,504) yields a new equation:
% 40.58/12.76  																																													| (865) e1 = e0
% 40.58/12.76  																																													|
% 40.58/12.76  																																													| Equations (865) can reduce 264 to:
% 40.58/12.76  																																													| (311) $false
% 40.58/12.76  																																													|
% 40.58/12.76  																																													|-The branch is then unsatisfiable
% 40.58/12.76  																																											|-Branch two:
% 40.58/12.76  																																											| (893)  ~ (all_0_95_95 = e0)
% 40.58/12.76  																																											| (894) all_0_95_95 = e4
% 40.58/12.76  																																											|
% 40.58/12.76  																																												| Equations (894) can reduce 315 to:
% 40.58/12.76  																																												| (311) $false
% 40.58/12.76  																																												|
% 40.58/12.76  																																												|-The branch is then unsatisfiable
% 40.58/12.76  																																						|-Branch two:
% 40.58/12.76  																																						| (479)  ~ (all_0_88_88 = e1)
% 40.58/12.76  																																						| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.76  																																						|
% 40.58/12.76  																																							+-Applying beta-rule and splitting (794), into two cases.
% 40.58/12.76  																																							|-Branch one:
% 40.58/12.76  																																							| (754) all_0_90_90 = e3
% 40.58/12.76  																																							|
% 40.58/12.76  																																								+-Applying beta-rule and splitting (373), into two cases.
% 40.58/12.76  																																								|-Branch one:
% 40.58/12.76  																																								| (504) all_0_88_88 = e1
% 40.58/12.76  																																								|
% 40.58/12.76  																																									| Equations (504) can reduce 479 to:
% 40.58/12.76  																																									| (311) $false
% 40.58/12.76  																																									|
% 40.58/12.76  																																									|-The branch is then unsatisfiable
% 40.58/12.76  																																								|-Branch two:
% 40.58/12.76  																																								| (479)  ~ (all_0_88_88 = e1)
% 40.58/12.76  																																								| (507) all_0_88_88 = e0
% 40.58/12.76  																																								|
% 40.58/12.76  																																									| Equations (507) can reduce 181 to:
% 40.58/12.76  																																									| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Equations (507) can reduce 93 to:
% 40.58/12.76  																																									| (904)  ~ (e4 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Simplifying 904 yields:
% 40.58/12.76  																																									| (23)  ~ (e4 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Equations (507) can reduce 191 to:
% 40.58/12.76  																																									| (906)  ~ (e3 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Simplifying 906 yields:
% 40.58/12.76  																																									| (50)  ~ (e3 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Equations (507) can reduce 351 to:
% 40.58/12.76  																																									| (510)  ~ (e2 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									| Simplifying 510 yields:
% 40.58/12.76  																																									| (76)  ~ (e2 = e0)
% 40.58/12.76  																																									|
% 40.58/12.76  																																									+-Applying beta-rule and splitting (254), into two cases.
% 40.58/12.76  																																									|-Branch one:
% 40.58/12.76  																																									| (910) all_0_82_82 = e0
% 40.58/12.76  																																									|
% 40.58/12.76  																																										| Combining equations (469,910) yields a new equation:
% 40.58/12.76  																																										| (911) e4 = e0
% 40.58/12.76  																																										|
% 40.58/12.76  																																										| Simplifying 911 yields:
% 40.58/12.76  																																										| (912) e4 = e0
% 40.58/12.76  																																										|
% 40.58/12.76  																																										| Equations (912) can reduce 23 to:
% 40.58/12.76  																																										| (311) $false
% 40.58/12.76  																																										|
% 40.58/12.76  																																										|-The branch is then unsatisfiable
% 40.58/12.76  																																									|-Branch two:
% 40.58/12.76  																																									| (914)  ~ (all_0_82_82 = e0)
% 40.58/12.76  																																									| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 40.58/12.76  																																									|
% 40.58/12.76  																																										+-Applying beta-rule and splitting (2), into two cases.
% 40.58/12.76  																																										|-Branch one:
% 40.58/12.76  																																										| (916) all_0_84_84 = e0
% 40.58/12.76  																																										|
% 40.58/12.76  																																											| Combining equations (916,552) yields a new equation:
% 40.58/12.76  																																											| (379) e2 = e0
% 40.58/12.76  																																											|
% 40.58/12.76  																																											| Equations (379) can reduce 76 to:
% 40.58/12.76  																																											| (311) $false
% 40.58/12.76  																																											|
% 40.58/12.76  																																											|-The branch is then unsatisfiable
% 40.58/12.76  																																										|-Branch two:
% 40.58/12.76  																																										| (919)  ~ (all_0_84_84 = e0)
% 40.58/12.76  																																										| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 40.58/12.76  																																										|
% 40.58/12.76  																																											| Equations (552) can reduce 919 to:
% 40.58/12.76  																																											| (76)  ~ (e2 = e0)
% 40.58/12.76  																																											|
% 40.58/12.76  																																											+-Applying beta-rule and splitting (915), into two cases.
% 40.58/12.76  																																											|-Branch one:
% 40.58/12.76  																																											| (378) all_0_86_86 = e0
% 40.58/12.76  																																											|
% 40.58/12.76  																																												| Combining equations (345,378) yields a new equation:
% 40.58/12.76  																																												| (923) e2 = e0
% 40.58/12.76  																																												|
% 40.58/12.76  																																												| Simplifying 923 yields:
% 40.58/12.76  																																												| (379) e2 = e0
% 40.58/12.76  																																												|
% 40.58/12.76  																																												| Equations (379) can reduce 76 to:
% 40.58/12.76  																																												| (311) $false
% 40.58/12.76  																																												|
% 40.58/12.76  																																												|-The branch is then unsatisfiable
% 40.58/12.76  																																											|-Branch two:
% 40.58/12.76  																																											| (381)  ~ (all_0_86_86 = e0)
% 40.58/12.76  																																											| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 40.58/12.76  																																											|
% 40.58/12.76  																																												+-Applying beta-rule and splitting (920), into two cases.
% 40.58/12.76  																																												|-Branch one:
% 40.58/12.76  																																												| (861) all_0_87_87 = e0
% 40.58/12.76  																																												|
% 40.58/12.76  																																													| Equations (861) can reduce 889 to:
% 40.58/12.76  																																													| (311) $false
% 40.58/12.76  																																													|
% 40.58/12.76  																																													|-The branch is then unsatisfiable
% 40.58/12.76  																																												|-Branch two:
% 40.58/12.76  																																												| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.76  																																												| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 40.58/12.76  																																												|
% 40.58/12.76  																																													+-Applying beta-rule and splitting (927), into two cases.
% 40.58/12.76  																																													|-Branch one:
% 40.58/12.76  																																													| (758) all_0_90_90 = e0
% 40.58/12.76  																																													|
% 40.58/12.76  																																														| Combining equations (754,758) yields a new equation:
% 40.58/12.76  																																														| (599) e3 = e0
% 40.58/12.76  																																														|
% 40.58/12.76  																																														| Simplifying 599 yields:
% 40.58/12.76  																																														| (600) e3 = e0
% 40.58/12.76  																																														|
% 40.58/12.76  																																														| Equations (600) can reduce 50 to:
% 40.58/12.76  																																														| (311) $false
% 40.58/12.76  																																														|
% 40.58/12.76  																																														|-The branch is then unsatisfiable
% 40.58/12.76  																																													|-Branch two:
% 40.58/12.76  																																													| (762)  ~ (all_0_90_90 = e0)
% 40.58/12.76  																																													| (858) all_0_95_95 = e0
% 40.58/12.76  																																													|
% 40.58/12.76  																																														| Equations (858) can reduce 105 to:
% 40.58/12.76  																																														| (938)  ~ (all_0_97_97 = e0)
% 40.58/12.76  																																														|
% 40.58/12.76  																																														| Simplifying 938 yields:
% 40.58/12.76  																																														| (609)  ~ (all_0_97_97 = e0)
% 40.58/12.76  																																														|
% 40.58/12.76  																																														| Equations (858) can reduce 315 to:
% 40.58/12.76  																																														| (904)  ~ (e4 = e0)
% 40.58/12.76  																																														|
% 40.58/12.76  																																														| Simplifying 904 yields:
% 40.58/12.76  																																														| (23)  ~ (e4 = e0)
% 40.58/12.76  																																														|
% 40.58/12.76  																																														+-Applying beta-rule and splitting (931), into two cases.
% 40.58/12.76  																																														|-Branch one:
% 40.58/12.76  																																														| (942) all_0_92_92 = e0
% 40.58/12.76  																																														|
% 40.58/12.76  																																															| Combining equations (442,942) yields a new equation:
% 40.58/12.76  																																															| (911) e4 = e0
% 40.58/12.76  																																															|
% 40.58/12.76  																																															| Simplifying 911 yields:
% 40.58/12.76  																																															| (912) e4 = e0
% 40.58/12.76  																																															|
% 40.58/12.76  																																															| Equations (912) can reduce 23 to:
% 40.58/12.76  																																															| (311) $false
% 40.58/12.76  																																															|
% 40.58/12.76  																																															|-The branch is then unsatisfiable
% 40.58/12.76  																																														|-Branch two:
% 40.58/12.76  																																														| (946)  ~ (all_0_92_92 = e0)
% 40.58/12.76  																																														| (560) all_0_97_97 = e0
% 40.58/12.76  																																														|
% 40.58/12.76  																																															| Equations (560) can reduce 609 to:
% 40.58/12.76  																																															| (311) $false
% 40.58/12.76  																																															|
% 40.58/12.76  																																															|-The branch is then unsatisfiable
% 40.58/12.76  																																							|-Branch two:
% 40.58/12.76  																																							| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.76  																																							| (744) all_0_95_95 = e3
% 40.58/12.76  																																							|
% 40.58/12.76  																																								| Equations (744) can reduce 765 to:
% 40.58/12.76  																																								| (311) $false
% 40.58/12.76  																																								|
% 40.58/12.76  																																								|-The branch is then unsatisfiable
% 40.58/12.76  																																				|-Branch two:
% 40.58/12.76  																																				| (952)  ~ (all_0_85_85 = e3)
% 40.58/12.76  																																				| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 40.58/12.76  																																				|
% 40.58/12.76  																																					+-Applying beta-rule and splitting (953), into two cases.
% 40.58/12.76  																																					|-Branch one:
% 40.58/12.76  																																					| (954) all_0_85_85 = e0
% 40.58/12.76  																																					|
% 40.58/12.76  																																						| Equations (954) can reduce 800 to:
% 40.58/12.76  																																						| (311) $false
% 40.58/12.76  																																						|
% 40.58/12.76  																																						|-The branch is then unsatisfiable
% 40.58/12.76  																																					|-Branch two:
% 40.58/12.76  																																					| (800)  ~ (all_0_85_85 = e0)
% 40.58/12.76  																																					| (493) all_0_85_85 = e4
% 40.58/12.76  																																					|
% 40.58/12.76  																																						| Equations (493) can reduce 648 to:
% 40.58/12.76  																																						| (311) $false
% 40.58/12.76  																																						|
% 40.58/12.76  																																						|-The branch is then unsatisfiable
% 40.58/12.76  																																			|-Branch two:
% 40.58/12.76  																																			| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.76  																																			| (960) all_0_96_96 = e1
% 40.58/12.76  																																			|
% 40.58/12.76  																																				| Combining equations (778,960) yields a new equation:
% 40.58/12.76  																																				| (825) e3 = e1
% 40.58/12.76  																																				|
% 40.58/12.76  																																				| Simplifying 825 yields:
% 40.58/12.76  																																				| (772) e3 = e1
% 40.58/12.76  																																				|
% 40.58/12.76  																																				| Equations (772) can reduce 20 to:
% 40.58/12.76  																																				| (311) $false
% 40.58/12.76  																																				|
% 40.58/12.76  																																				|-The branch is then unsatisfiable
% 40.58/12.76  																															|-Branch two:
% 40.58/12.76  																															| (964)  ~ (all_0_96_96 = e3)
% 40.58/12.76  																															| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 40.58/12.76  																															|
% 40.58/12.76  																																+-Applying beta-rule and splitting (965), into two cases.
% 40.58/12.76  																																|-Branch one:
% 40.58/12.76  																																| (556) all_0_97_97 = e3
% 40.58/12.76  																																|
% 40.58/12.76  																																	| Equations (556) can reduce 428 to:
% 40.58/12.76  																																	| (311) $false
% 40.58/12.76  																																	|
% 40.58/12.76  																																	|-The branch is then unsatisfiable
% 40.58/12.76  																																|-Branch two:
% 40.58/12.76  																																| (428)  ~ (all_0_97_97 = e3)
% 40.58/12.76  																																| (969) all_0_98_98 = e3
% 40.58/12.76  																																|
% 40.58/12.76  																																	| Combining equations (969,525) yields a new equation:
% 40.58/12.76  																																	| (547) e3 = e2
% 40.58/12.76  																																	|
% 40.58/12.76  																																	| Simplifying 547 yields:
% 40.58/12.76  																																	| (548) e3 = e2
% 40.58/12.76  																																	|
% 40.58/12.76  																																	| Equations (548) can reduce 169 to:
% 40.58/12.76  																																	| (311) $false
% 40.58/12.76  																																	|
% 40.58/12.76  																																	|-The branch is then unsatisfiable
% 40.58/12.76  																										|-Branch two:
% 40.58/12.76  																										| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 40.58/12.76  																										|
% 40.58/12.76  																											| Applying alpha-rule on (973) yields:
% 40.58/12.76  																											| (974) all_0_50_50 = e0
% 40.58/12.76  																											| (975)  ~ (all_0_51_51 = e3)
% 40.58/12.76  																											|
% 40.58/12.76  																											| From (974) and (121) follows:
% 40.58/12.76  																											| (976) op(e3, all_0_95_95) = e0
% 40.58/12.76  																											|
% 40.58/12.76  																											+-Applying beta-rule and splitting (270), into two cases.
% 40.58/12.76  																											|-Branch one:
% 40.58/12.76  																											| (744) all_0_95_95 = e3
% 40.58/12.76  																											|
% 40.58/12.76  																												| Equations (744) can reduce 229 to:
% 40.58/12.76  																												| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.76  																												|
% 40.58/12.76  																												| From (744) and (976) follows:
% 40.58/12.76  																												| (979) op(e3, e3) = e0
% 40.58/12.76  																												|
% 40.58/12.76  																												+-Applying beta-rule and splitting (27), into two cases.
% 40.58/12.76  																												|-Branch one:
% 40.58/12.76  																												| (746) all_0_90_90 = e2
% 40.58/12.76  																												|
% 40.58/12.76  																													| Equations (746) can reduce 294 to:
% 40.58/12.76  																													| (311) $false
% 40.58/12.76  																													|
% 40.58/12.76  																													|-The branch is then unsatisfiable
% 40.58/12.76  																												|-Branch two:
% 40.58/12.76  																												| (294)  ~ (all_0_90_90 = e2)
% 40.58/12.76  																												| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 40.58/12.76  																												|
% 40.58/12.76  																													+-Applying beta-rule and splitting (749), into two cases.
% 40.58/12.76  																													|-Branch one:
% 40.58/12.76  																													| (750) all_0_90_90 = e1
% 40.58/12.76  																													|
% 40.58/12.76  																														| Equations (750) can reduce 678 to:
% 40.58/12.76  																														| (311) $false
% 40.58/12.76  																														|
% 40.58/12.76  																														|-The branch is then unsatisfiable
% 40.58/12.76  																													|-Branch two:
% 40.58/12.76  																													| (678)  ~ (all_0_90_90 = e1)
% 40.58/12.76  																													| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 40.58/12.76  																													|
% 40.58/12.76  																														+-Applying beta-rule and splitting (753), into two cases.
% 40.58/12.76  																														|-Branch one:
% 40.58/12.76  																														| (754) all_0_90_90 = e3
% 40.58/12.76  																														|
% 40.58/12.76  																															| Equations (754) can reduce 745 to:
% 40.58/12.76  																															| (311) $false
% 40.58/12.76  																															|
% 40.58/12.76  																															|-The branch is then unsatisfiable
% 40.58/12.76  																														|-Branch two:
% 40.58/12.76  																														| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.76  																														| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 40.58/12.76  																														|
% 40.58/12.76  																															+-Applying beta-rule and splitting (757), into two cases.
% 40.58/12.76  																															|-Branch one:
% 40.58/12.76  																															| (758) all_0_90_90 = e0
% 40.58/12.76  																															|
% 40.58/12.76  																																| Equations (758) can reduce 467 to:
% 40.58/12.76  																																| (904)  ~ (e4 = e0)
% 40.58/12.76  																																|
% 40.58/12.76  																																| Simplifying 904 yields:
% 40.58/12.76  																																| (23)  ~ (e4 = e0)
% 40.58/12.76  																																|
% 40.58/12.76  																																| Instantiating formula (262) with e3, e3, e0, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e0, yields:
% 40.58/12.76  																																| (912) e4 = e0
% 40.58/12.76  																																|
% 40.58/12.76  																																| Equations (912) can reduce 23 to:
% 40.58/12.76  																																| (311) $false
% 40.58/12.76  																																|
% 40.58/12.76  																																|-The branch is then unsatisfiable
% 40.58/12.76  																															|-Branch two:
% 40.58/12.76  																															| (762)  ~ (all_0_90_90 = e0)
% 40.58/12.77  																															| (583) all_0_90_90 = e4
% 40.58/12.77  																															|
% 40.58/12.77  																																| Equations (583) can reduce 467 to:
% 40.58/12.77  																																| (311) $false
% 40.58/12.77  																																|
% 40.58/12.77  																																|-The branch is then unsatisfiable
% 40.58/12.77  																											|-Branch two:
% 40.58/12.77  																											| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.77  																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 40.58/12.77  																											|
% 40.58/12.77  																												+-Applying beta-rule and splitting (99), into two cases.
% 40.58/12.77  																												|-Branch one:
% 40.58/12.77  																												| (767) all_0_95_95 = e2
% 40.58/12.77  																												|
% 40.58/12.77  																													| Equations (767) can reduce 355 to:
% 40.58/12.77  																													| (311) $false
% 40.58/12.77  																													|
% 40.58/12.77  																													|-The branch is then unsatisfiable
% 40.58/12.77  																												|-Branch two:
% 40.58/12.77  																												| (355)  ~ (all_0_95_95 = e2)
% 40.58/12.77  																												| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 40.58/12.77  																												|
% 40.58/12.77  																													+-Applying beta-rule and splitting (220), into two cases.
% 40.58/12.77  																													|-Branch one:
% 40.58/12.77  																													| (771) all_0_78_78 = e3
% 40.58/12.77  																													|
% 40.58/12.77  																														| Combining equations (676,771) yields a new equation:
% 40.58/12.77  																														| (772) e3 = e1
% 40.58/12.77  																														|
% 40.58/12.77  																														| Equations (772) can reduce 20 to:
% 40.58/12.77  																														| (311) $false
% 40.58/12.77  																														|
% 40.58/12.77  																														|-The branch is then unsatisfiable
% 40.58/12.77  																													|-Branch two:
% 40.58/12.77  																													| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.77  																													| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.77  																													|
% 40.58/12.77  																														| Equations (676) can reduce 418 to:
% 40.58/12.77  																														| (683)  ~ (e3 = e1)
% 40.58/12.77  																														|
% 40.58/12.77  																														| Simplifying 683 yields:
% 40.58/12.77  																														| (20)  ~ (e3 = e1)
% 40.58/12.77  																														|
% 40.58/12.77  																														+-Applying beta-rule and splitting (766), into two cases.
% 40.58/12.77  																														|-Branch one:
% 40.58/12.77  																														| (778) all_0_96_96 = e3
% 40.58/12.77  																														|
% 40.58/12.77  																															| Equations (778) can reduce 211 to:
% 40.58/12.77  																															| (779)  ~ (all_0_83_83 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															| Equations (778) can reduce 279 to:
% 40.58/12.77  																															| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															| Equations (778) can reduce 22 to:
% 40.58/12.77  																															| (427)  ~ (all_0_97_97 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															| Simplifying 427 yields:
% 40.58/12.77  																															| (428)  ~ (all_0_97_97 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															| Equations (778) can reduce 115 to:
% 40.58/12.77  																															| (783)  ~ (e4 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															| Simplifying 783 yields:
% 40.58/12.77  																															| (177)  ~ (e4 = e3)
% 40.58/12.77  																															|
% 40.58/12.77  																															+-Applying beta-rule and splitting (176), into two cases.
% 40.58/12.77  																															|-Branch one:
% 40.58/12.77  																															| (785) all_0_95_95 = e1
% 40.58/12.77  																															|
% 40.58/12.77  																																| Equations (785) can reduce 680 to:
% 40.58/12.77  																																| (311) $false
% 40.58/12.77  																																|
% 40.58/12.77  																																|-The branch is then unsatisfiable
% 40.58/12.77  																															|-Branch two:
% 40.58/12.77  																															| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.77  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 40.58/12.77  																															|
% 40.58/12.77  																																+-Applying beta-rule and splitting (775), into two cases.
% 40.58/12.77  																																|-Branch one:
% 40.58/12.77  																																| (789) all_0_82_82 = e3
% 40.58/12.77  																																|
% 40.58/12.77  																																	| Combining equations (469,789) yields a new equation:
% 40.58/12.77  																																	| (790) e4 = e3
% 40.58/12.77  																																	|
% 40.58/12.77  																																	| Simplifying 790 yields:
% 40.58/12.77  																																	| (434) e4 = e3
% 40.58/12.77  																																	|
% 40.58/12.77  																																	| Equations (434) can reduce 177 to:
% 40.58/12.77  																																	| (311) $false
% 40.58/12.77  																																	|
% 40.58/12.77  																																	|-The branch is then unsatisfiable
% 40.58/12.77  																																|-Branch two:
% 40.58/12.77  																																| (793)  ~ (all_0_82_82 = e3)
% 40.58/12.77  																																| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.77  																																|
% 40.58/12.77  																																	+-Applying beta-rule and splitting (456), into two cases.
% 40.58/12.77  																																	|-Branch one:
% 40.58/12.77  																																	| (795) all_0_83_83 = e3
% 40.58/12.77  																																	|
% 40.58/12.77  																																		| Equations (795) can reduce 779 to:
% 40.58/12.77  																																		| (311) $false
% 40.58/12.77  																																		|
% 40.58/12.77  																																		|-The branch is then unsatisfiable
% 40.58/12.77  																																	|-Branch two:
% 40.58/12.77  																																	| (779)  ~ (all_0_83_83 = e3)
% 40.58/12.77  																																	| (798) all_0_83_83 = e0
% 40.58/12.77  																																	|
% 40.58/12.77  																																		| Equations (798) can reduce 226 to:
% 40.58/12.77  																																		| (799)  ~ (all_0_85_85 = e0)
% 40.58/12.77  																																		|
% 40.58/12.77  																																		| Simplifying 799 yields:
% 40.58/12.77  																																		| (800)  ~ (all_0_85_85 = e0)
% 40.58/12.77  																																		|
% 40.58/12.77  																																		| From (798) and (163) follows:
% 40.58/12.77  																																		| (1036) op(e3, e0) = all_0_55_55
% 40.58/12.77  																																		|
% 40.58/12.77  																																		+-Applying beta-rule and splitting (462), into two cases.
% 40.58/12.77  																																		|-Branch one:
% 40.58/12.77  																																		| (801) all_0_91_91 = e1
% 40.58/12.77  																																		|
% 40.58/12.77  																																			| Equations (801) can reduce 133 to:
% 40.58/12.77  																																			| (681)  ~ (e4 = e1)
% 40.58/12.77  																																			|
% 40.58/12.77  																																			| Simplifying 681 yields:
% 40.58/12.77  																																			| (256)  ~ (e4 = e1)
% 40.58/12.77  																																			|
% 40.58/12.77  																																			+-Applying beta-rule and splitting (725), into two cases.
% 40.58/12.77  																																			|-Branch one:
% 40.58/12.77  																																			| (804) all_0_85_85 = e3
% 40.58/12.77  																																			|
% 40.58/12.77  																																				| Equations (804) can reduce 78 to:
% 40.58/12.77  																																				| (805)  ~ (all_0_88_88 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Simplifying 805 yields:
% 40.58/12.77  																																				| (191)  ~ (all_0_88_88 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Equations (804) can reduce 201 to:
% 40.58/12.77  																																				| (807)  ~ (all_0_93_93 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Simplifying 807 yields:
% 40.58/12.77  																																				| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Equations (804) can reduce 648 to:
% 40.58/12.77  																																				| (783)  ~ (e4 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Simplifying 783 yields:
% 40.58/12.77  																																				| (177)  ~ (e4 = e3)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| Equations (804) can reduce 800 to:
% 40.58/12.77  																																				| (50)  ~ (e3 = e0)
% 40.58/12.77  																																				|
% 40.58/12.77  																																				| From (804) and (8) follows:
% 40.58/12.77  																																				| (1048) op(e3, e0) = e3
% 40.58/12.77  																																				|
% 40.58/12.77  																																				+-Applying beta-rule and splitting (108), into two cases.
% 40.58/12.77  																																				|-Branch one:
% 40.58/12.77  																																				| (477) all_0_81_81 = e1
% 40.58/12.77  																																				|
% 40.58/12.77  																																					| Combining equations (638,477) yields a new equation:
% 40.58/12.77  																																					| (813) e4 = e1
% 40.58/12.77  																																					|
% 40.58/12.77  																																					| Simplifying 813 yields:
% 40.58/12.77  																																					| (814) e4 = e1
% 40.58/12.77  																																					|
% 40.58/12.77  																																					| Equations (814) can reduce 256 to:
% 40.58/12.77  																																					| (311) $false
% 40.58/12.77  																																					|
% 40.58/12.77  																																					|-The branch is then unsatisfiable
% 40.58/12.77  																																				|-Branch two:
% 40.58/12.77  																																				| (628)  ~ (all_0_81_81 = e1)
% 40.58/12.77  																																				| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.77  																																				|
% 40.58/12.77  																																					+-Applying beta-rule and splitting (817), into two cases.
% 40.58/12.77  																																					|-Branch one:
% 40.58/12.77  																																					| (504) all_0_88_88 = e1
% 40.58/12.77  																																					|
% 40.58/12.77  																																						| Equations (504) can reduce 181 to:
% 40.58/12.77  																																						| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.77  																																						|
% 40.58/12.77  																																						| Equations (504) can reduce 93 to:
% 40.58/12.77  																																						| (681)  ~ (e4 = e1)
% 40.58/12.77  																																						|
% 40.58/12.77  																																						| Simplifying 681 yields:
% 40.58/12.77  																																						| (256)  ~ (e4 = e1)
% 40.58/12.77  																																						|
% 40.58/12.77  																																						| Equations (504) can reduce 191 to:
% 40.58/12.77  																																						| (683)  ~ (e3 = e1)
% 40.58/12.77  																																						|
% 40.58/12.77  																																						| Simplifying 683 yields:
% 40.58/12.77  																																						| (20)  ~ (e3 = e1)
% 40.58/12.77  																																						|
% 40.58/12.77  																																						+-Applying beta-rule and splitting (151), into two cases.
% 40.58/12.77  																																						|-Branch one:
% 40.58/12.77  																																						| (824) all_0_80_80 = e1
% 40.58/12.77  																																						|
% 40.58/12.77  																																							| Combining equations (416,824) yields a new equation:
% 40.58/12.77  																																							| (825) e3 = e1
% 40.58/12.77  																																							|
% 40.58/12.77  																																							| Simplifying 825 yields:
% 40.58/12.77  																																							| (772) e3 = e1
% 40.58/12.77  																																							|
% 40.58/12.77  																																							| Equations (772) can reduce 20 to:
% 40.58/12.77  																																							| (311) $false
% 40.58/12.77  																																							|
% 40.58/12.77  																																							|-The branch is then unsatisfiable
% 40.58/12.77  																																						|-Branch two:
% 40.58/12.77  																																						| (828)  ~ (all_0_80_80 = e1)
% 40.58/12.77  																																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.77  																																						|
% 40.58/12.77  																																							+-Applying beta-rule and splitting (282), into two cases.
% 40.58/12.77  																																							|-Branch one:
% 40.58/12.77  																																							| (754) all_0_90_90 = e3
% 40.58/12.77  																																							|
% 40.58/12.77  																																								| Equations (754) can reduce 34 to:
% 40.58/12.77  																																								| (807)  ~ (all_0_93_93 = e3)
% 40.58/12.77  																																								|
% 40.58/12.77  																																								| Simplifying 807 yields:
% 40.58/12.77  																																								| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.77  																																								|
% 40.58/12.77  																																								| Equations (754) can reduce 229 to:
% 40.58/12.77  																																								| (1070)  ~ (all_0_95_95 = e3)
% 40.58/12.77  																																								|
% 40.58/12.77  																																								| Simplifying 1070 yields:
% 40.58/12.77  																																								| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.77  																																								|
% 40.58/12.77  																																								+-Applying beta-rule and splitting (289), into two cases.
% 40.58/12.77  																																								|-Branch one:
% 40.58/12.77  																																								| (954) all_0_85_85 = e0
% 40.58/12.77  																																								|
% 40.58/12.77  																																									| Combining equations (804,954) yields a new equation:
% 40.58/12.77  																																									| (599) e3 = e0
% 40.58/12.77  																																									|
% 40.58/12.77  																																									| Simplifying 599 yields:
% 40.58/12.77  																																									| (600) e3 = e0
% 40.58/12.77  																																									|
% 40.58/12.77  																																									| Equations (600) can reduce 50 to:
% 40.58/12.77  																																									| (311) $false
% 40.58/12.77  																																									|
% 40.58/12.77  																																									|-The branch is then unsatisfiable
% 40.58/12.77  																																								|-Branch two:
% 40.58/12.77  																																								| (800)  ~ (all_0_85_85 = e0)
% 40.58/12.77  																																								| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 40.58/12.77  																																								|
% 40.58/12.77  																																									+-Applying beta-rule and splitting (770), into two cases.
% 40.58/12.77  																																									|-Branch one:
% 40.58/12.77  																																									| (785) all_0_95_95 = e1
% 40.58/12.77  																																									|
% 40.58/12.77  																																										| Equations (785) can reduce 680 to:
% 40.58/12.77  																																										| (311) $false
% 40.58/12.77  																																										|
% 40.58/12.77  																																										|-The branch is then unsatisfiable
% 40.58/12.77  																																									|-Branch two:
% 40.58/12.77  																																									| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.77  																																									| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 40.58/12.77  																																									|
% 40.58/12.77  																																										+-Applying beta-rule and splitting (829), into two cases.
% 40.58/12.77  																																										|-Branch one:
% 40.58/12.77  																																										| (482) all_0_87_87 = e1
% 40.58/12.77  																																										|
% 40.58/12.77  																																											| Equations (482) can reduce 625 to:
% 40.58/12.77  																																											| (311) $false
% 40.58/12.77  																																											|
% 40.58/12.77  																																											|-The branch is then unsatisfiable
% 40.58/12.77  																																										|-Branch two:
% 40.58/12.77  																																										| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.77  																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.77  																																										|
% 40.58/12.77  																																											+-Applying beta-rule and splitting (853), into two cases.
% 40.58/12.77  																																											|-Branch one:
% 40.58/12.77  																																											| (744) all_0_95_95 = e3
% 40.58/12.77  																																											|
% 40.58/12.77  																																												| Equations (744) can reduce 765 to:
% 40.58/12.77  																																												| (311) $false
% 40.58/12.77  																																												|
% 40.58/12.77  																																												|-The branch is then unsatisfiable
% 40.58/12.77  																																											|-Branch two:
% 40.58/12.77  																																											| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.77  																																											| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 40.58/12.77  																																											|
% 40.58/12.77  																																												+-Applying beta-rule and splitting (857), into two cases.
% 40.58/12.77  																																												|-Branch one:
% 40.58/12.77  																																												| (858) all_0_95_95 = e0
% 40.58/12.77  																																												|
% 40.58/12.77  																																													| Equations (858) can reduce 680 to:
% 40.58/12.77  																																													| (859)  ~ (e1 = e0)
% 40.58/12.77  																																													|
% 40.58/12.77  																																													| Simplifying 859 yields:
% 40.58/12.77  																																													| (264)  ~ (e1 = e0)
% 40.58/12.77  																																													|
% 40.58/12.77  																																													| From (858) and (976) follows:
% 40.58/12.77  																																													| (1093) op(e3, e0) = e0
% 40.58/12.77  																																													|
% 40.58/12.77  																																													+-Applying beta-rule and splitting (382), into two cases.
% 40.58/12.77  																																													|-Branch one:
% 40.58/12.77  																																													| (861) all_0_87_87 = e0
% 40.58/12.77  																																													|
% 40.58/12.77  																																														| Equations (861) can reduce 221 to:
% 40.58/12.77  																																														| (938)  ~ (all_0_97_97 = e0)
% 40.58/12.77  																																														|
% 40.58/12.77  																																														| Simplifying 938 yields:
% 40.58/12.77  																																														| (609)  ~ (all_0_97_97 = e0)
% 40.58/12.77  																																														|
% 40.58/12.77  																																														| Equations (861) can reduce 349 to:
% 40.58/12.77  																																														| (510)  ~ (e2 = e0)
% 40.58/12.77  																																														|
% 40.58/12.77  																																														| Simplifying 510 yields:
% 40.58/12.77  																																														| (76)  ~ (e2 = e0)
% 40.58/12.77  																																														|
% 40.58/12.77  																																														+-Applying beta-rule and splitting (835), into two cases.
% 40.58/12.77  																																														|-Branch one:
% 40.58/12.77  																																														| (836) all_0_92_92 = e1
% 40.58/12.77  																																														|
% 40.58/12.77  																																															| Combining equations (442,836) yields a new equation:
% 40.58/12.77  																																															| (813) e4 = e1
% 40.58/12.77  																																															|
% 40.58/12.77  																																															| Simplifying 813 yields:
% 40.58/12.77  																																															| (814) e4 = e1
% 40.58/12.77  																																															|
% 40.58/12.77  																																															| Equations (814) can reduce 256 to:
% 40.58/12.77  																																															| (311) $false
% 40.58/12.77  																																															|
% 40.58/12.77  																																															|-The branch is then unsatisfiable
% 40.58/12.77  																																														|-Branch two:
% 40.58/12.77  																																														| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.77  																																														| (542) all_0_97_97 = e1
% 40.58/12.77  																																														|
% 40.58/12.77  																																															| Equations (542) can reduce 609 to:
% 40.58/12.77  																																															| (264)  ~ (e1 = e0)
% 40.58/12.77  																																															|
% 40.58/12.77  																																															+-Applying beta-rule and splitting (1077), into two cases.
% 40.58/12.77  																																															|-Branch one:
% 40.58/12.77  																																															| (507) all_0_88_88 = e0
% 40.58/12.77  																																															|
% 40.58/12.77  																																																| Combining equations (504,507) yields a new equation:
% 40.58/12.77  																																																| (1107) e1 = e0
% 40.58/12.77  																																																|
% 40.58/12.77  																																																| Simplifying 1107 yields:
% 40.58/12.77  																																																| (865) e1 = e0
% 40.58/12.77  																																																|
% 40.58/12.77  																																																| Equations (865) can reduce 264 to:
% 40.58/12.77  																																																| (311) $false
% 40.58/12.77  																																																|
% 40.58/12.77  																																																|-The branch is then unsatisfiable
% 40.58/12.77  																																															|-Branch two:
% 40.58/12.77  																																															| (1110)  ~ (all_0_88_88 = e0)
% 40.58/12.77  																																															| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 40.58/12.77  																																															|
% 40.58/12.77  																																																+-Applying beta-rule and splitting (1111), into two cases.
% 40.58/12.77  																																																|-Branch one:
% 40.58/12.77  																																																| (604) all_0_93_93 = e0
% 40.58/12.77  																																																|
% 40.58/12.77  																																																	| Equations (604) can reduce 602 to:
% 40.58/12.77  																																																	| (906)  ~ (e3 = e0)
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Simplifying 906 yields:
% 40.58/12.77  																																																	| (50)  ~ (e3 = e0)
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Instantiating formula (262) with e3, e0, e3, all_0_55_55 and discharging atoms op(e3, e0) = all_0_55_55, op(e3, e0) = e3, yields:
% 40.58/12.77  																																																	| (1115) all_0_55_55 = e3
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Instantiating formula (262) with e3, e0, e0, all_0_55_55 and discharging atoms op(e3, e0) = all_0_55_55, op(e3, e0) = e0, yields:
% 40.58/12.77  																																																	| (1116) all_0_55_55 = e0
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Combining equations (1115,1116) yields a new equation:
% 40.58/12.77  																																																	| (599) e3 = e0
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Simplifying 599 yields:
% 40.58/12.77  																																																	| (600) e3 = e0
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Equations (600) can reduce 50 to:
% 40.58/12.77  																																																	| (311) $false
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	|-The branch is then unsatisfiable
% 40.58/12.77  																																																|-Branch two:
% 40.58/12.77  																																																| (509)  ~ (all_0_93_93 = e0)
% 40.58/12.77  																																																| (1121) all_0_98_98 = e0
% 40.58/12.77  																																																|
% 40.58/12.77  																																																	| Combining equations (525,1121) yields a new equation:
% 40.58/12.77  																																																	| (923) e2 = e0
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Simplifying 923 yields:
% 40.58/12.77  																																																	| (379) e2 = e0
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	| Equations (379) can reduce 76 to:
% 40.58/12.77  																																																	| (311) $false
% 40.58/12.77  																																																	|
% 40.58/12.77  																																																	|-The branch is then unsatisfiable
% 40.58/12.77  																																													|-Branch two:
% 40.58/12.77  																																													| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.77  																																													| (507) all_0_88_88 = e0
% 40.58/12.77  																																													|
% 40.58/12.77  																																														| Combining equations (504,507) yields a new equation:
% 40.58/12.78  																																														| (1107) e1 = e0
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Simplifying 1107 yields:
% 40.58/12.78  																																														| (865) e1 = e0
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Equations (865) can reduce 264 to:
% 40.58/12.78  																																														| (311) $false
% 40.58/12.78  																																														|
% 40.58/12.78  																																														|-The branch is then unsatisfiable
% 40.58/12.78  																																												|-Branch two:
% 40.58/12.78  																																												| (893)  ~ (all_0_95_95 = e0)
% 40.58/12.78  																																												| (894) all_0_95_95 = e4
% 40.58/12.78  																																												|
% 40.58/12.78  																																													| Equations (894) can reduce 315 to:
% 40.58/12.78  																																													| (311) $false
% 40.58/12.78  																																													|
% 40.58/12.78  																																													|-The branch is then unsatisfiable
% 40.58/12.78  																																							|-Branch two:
% 40.58/12.78  																																							| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.78  																																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.78  																																							|
% 40.58/12.78  																																								+-Applying beta-rule and splitting (770), into two cases.
% 40.58/12.78  																																								|-Branch one:
% 40.58/12.78  																																								| (785) all_0_95_95 = e1
% 40.58/12.78  																																								|
% 40.58/12.78  																																									| Equations (785) can reduce 680 to:
% 40.58/12.78  																																									| (311) $false
% 40.58/12.78  																																									|
% 40.58/12.78  																																									|-The branch is then unsatisfiable
% 40.58/12.78  																																								|-Branch two:
% 40.58/12.78  																																								| (680)  ~ (all_0_95_95 = e1)
% 40.58/12.78  																																								| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 40.58/12.78  																																								|
% 40.58/12.78  																																									+-Applying beta-rule and splitting (853), into two cases.
% 40.58/12.78  																																									|-Branch one:
% 40.58/12.78  																																									| (744) all_0_95_95 = e3
% 40.58/12.78  																																									|
% 40.58/12.78  																																										| Equations (744) can reduce 765 to:
% 40.58/12.78  																																										| (311) $false
% 40.58/12.78  																																										|
% 40.58/12.78  																																										|-The branch is then unsatisfiable
% 40.58/12.78  																																									|-Branch two:
% 40.58/12.78  																																									| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.78  																																									| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 40.58/12.78  																																									|
% 40.58/12.78  																																										+-Applying beta-rule and splitting (857), into two cases.
% 40.58/12.78  																																										|-Branch one:
% 40.58/12.78  																																										| (858) all_0_95_95 = e0
% 40.58/12.78  																																										|
% 40.58/12.78  																																											| Equations (858) can reduce 680 to:
% 40.58/12.78  																																											| (859)  ~ (e1 = e0)
% 40.58/12.78  																																											|
% 40.58/12.78  																																											| Simplifying 859 yields:
% 40.58/12.78  																																											| (264)  ~ (e1 = e0)
% 40.58/12.78  																																											|
% 40.58/12.78  																																											+-Applying beta-rule and splitting (382), into two cases.
% 40.58/12.78  																																											|-Branch one:
% 40.58/12.78  																																											| (861) all_0_87_87 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																												| Equations (861) can reduce 625 to:
% 40.58/12.78  																																												| (859)  ~ (e1 = e0)
% 40.58/12.78  																																												|
% 40.58/12.78  																																												| Simplifying 859 yields:
% 40.58/12.78  																																												| (264)  ~ (e1 = e0)
% 40.58/12.78  																																												|
% 40.58/12.78  																																												+-Applying beta-rule and splitting (829), into two cases.
% 40.58/12.78  																																												|-Branch one:
% 40.58/12.78  																																												| (482) all_0_87_87 = e1
% 40.58/12.78  																																												|
% 40.58/12.78  																																													| Combining equations (861,482) yields a new equation:
% 40.58/12.78  																																													| (865) e1 = e0
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Equations (865) can reduce 264 to:
% 40.58/12.78  																																													| (311) $false
% 40.58/12.78  																																													|
% 40.58/12.78  																																													|-The branch is then unsatisfiable
% 40.58/12.78  																																												|-Branch two:
% 40.58/12.78  																																												| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.78  																																												| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.78  																																												|
% 40.58/12.78  																																													+-Applying beta-rule and splitting (835), into two cases.
% 40.58/12.78  																																													|-Branch one:
% 40.58/12.78  																																													| (836) all_0_92_92 = e1
% 40.58/12.78  																																													|
% 40.58/12.78  																																														| Combining equations (442,836) yields a new equation:
% 40.58/12.78  																																														| (813) e4 = e1
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Simplifying 813 yields:
% 40.58/12.78  																																														| (814) e4 = e1
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Equations (814) can reduce 256 to:
% 40.58/12.78  																																														| (311) $false
% 40.58/12.78  																																														|
% 40.58/12.78  																																														|-The branch is then unsatisfiable
% 40.58/12.78  																																													|-Branch two:
% 40.58/12.78  																																													| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.78  																																													| (542) all_0_97_97 = e1
% 40.58/12.78  																																													|
% 40.58/12.78  																																														| Equations (542) can reduce 428 to:
% 40.58/12.78  																																														| (683)  ~ (e3 = e1)
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Simplifying 683 yields:
% 40.58/12.78  																																														| (20)  ~ (e3 = e1)
% 40.58/12.78  																																														|
% 40.58/12.78  																																														+-Applying beta-rule and splitting (849), into two cases.
% 40.58/12.78  																																														|-Branch one:
% 40.58/12.78  																																														| (588) all_0_91_91 = e3
% 40.58/12.78  																																														|
% 40.58/12.78  																																															| Combining equations (801,588) yields a new equation:
% 40.58/12.78  																																															| (772) e3 = e1
% 40.58/12.78  																																															|
% 40.58/12.78  																																															| Equations (772) can reduce 20 to:
% 40.58/12.78  																																															| (311) $false
% 40.58/12.78  																																															|
% 40.58/12.78  																																															|-The branch is then unsatisfiable
% 40.58/12.78  																																														|-Branch two:
% 40.58/12.78  																																														| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.78  																																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.78  																																														|
% 40.58/12.78  																																															+-Applying beta-rule and splitting (881), into two cases.
% 40.58/12.78  																																															|-Branch one:
% 40.58/12.78  																																															| (882) all_0_92_92 = e3
% 40.58/12.78  																																															|
% 40.58/12.78  																																																| Combining equations (442,882) yields a new equation:
% 40.58/12.78  																																																| (790) e4 = e3
% 40.58/12.78  																																																|
% 40.58/12.78  																																																| Simplifying 790 yields:
% 40.58/12.78  																																																| (434) e4 = e3
% 40.58/12.78  																																																|
% 40.58/12.78  																																																| Equations (434) can reduce 177 to:
% 40.58/12.78  																																																| (311) $false
% 40.58/12.78  																																																|
% 40.58/12.78  																																																|-The branch is then unsatisfiable
% 40.58/12.78  																																															|-Branch two:
% 40.58/12.78  																																															| (426)  ~ (all_0_92_92 = e3)
% 40.58/12.78  																																															| (570) all_0_93_93 = e3
% 40.58/12.78  																																															|
% 40.58/12.78  																																																| Equations (570) can reduce 602 to:
% 40.58/12.78  																																																| (311) $false
% 40.58/12.78  																																																|
% 40.58/12.78  																																																|-The branch is then unsatisfiable
% 40.58/12.78  																																											|-Branch two:
% 40.58/12.78  																																											| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.78  																																											| (507) all_0_88_88 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																												| Combining equations (507,504) yields a new equation:
% 40.58/12.78  																																												| (865) e1 = e0
% 40.58/12.78  																																												|
% 40.58/12.78  																																												| Equations (865) can reduce 264 to:
% 40.58/12.78  																																												| (311) $false
% 40.58/12.78  																																												|
% 40.58/12.78  																																												|-The branch is then unsatisfiable
% 40.58/12.78  																																										|-Branch two:
% 40.58/12.78  																																										| (893)  ~ (all_0_95_95 = e0)
% 40.58/12.78  																																										| (894) all_0_95_95 = e4
% 40.58/12.78  																																										|
% 40.58/12.78  																																											| Equations (894) can reduce 315 to:
% 40.58/12.78  																																											| (311) $false
% 40.58/12.78  																																											|
% 40.58/12.78  																																											|-The branch is then unsatisfiable
% 40.58/12.78  																																					|-Branch two:
% 40.58/12.78  																																					| (479)  ~ (all_0_88_88 = e1)
% 40.58/12.78  																																					| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.78  																																					|
% 40.58/12.78  																																						+-Applying beta-rule and splitting (794), into two cases.
% 40.58/12.78  																																						|-Branch one:
% 40.58/12.78  																																						| (754) all_0_90_90 = e3
% 40.58/12.78  																																						|
% 40.58/12.78  																																							+-Applying beta-rule and splitting (373), into two cases.
% 40.58/12.78  																																							|-Branch one:
% 40.58/12.78  																																							| (504) all_0_88_88 = e1
% 40.58/12.78  																																							|
% 40.58/12.78  																																								| Equations (504) can reduce 479 to:
% 40.58/12.78  																																								| (311) $false
% 40.58/12.78  																																								|
% 40.58/12.78  																																								|-The branch is then unsatisfiable
% 40.58/12.78  																																							|-Branch two:
% 40.58/12.78  																																							| (479)  ~ (all_0_88_88 = e1)
% 40.58/12.78  																																							| (507) all_0_88_88 = e0
% 40.58/12.78  																																							|
% 40.58/12.78  																																								| Equations (507) can reduce 181 to:
% 40.58/12.78  																																								| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Equations (507) can reduce 93 to:
% 40.58/12.78  																																								| (904)  ~ (e4 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Simplifying 904 yields:
% 40.58/12.78  																																								| (23)  ~ (e4 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Equations (507) can reduce 191 to:
% 40.58/12.78  																																								| (906)  ~ (e3 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Simplifying 906 yields:
% 40.58/12.78  																																								| (50)  ~ (e3 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Equations (507) can reduce 351 to:
% 40.58/12.78  																																								| (510)  ~ (e2 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								| Simplifying 510 yields:
% 40.58/12.78  																																								| (76)  ~ (e2 = e0)
% 40.58/12.78  																																								|
% 40.58/12.78  																																								+-Applying beta-rule and splitting (254), into two cases.
% 40.58/12.78  																																								|-Branch one:
% 40.58/12.78  																																								| (910) all_0_82_82 = e0
% 40.58/12.78  																																								|
% 40.58/12.78  																																									| Combining equations (469,910) yields a new equation:
% 40.58/12.78  																																									| (911) e4 = e0
% 40.58/12.78  																																									|
% 40.58/12.78  																																									| Simplifying 911 yields:
% 40.58/12.78  																																									| (912) e4 = e0
% 40.58/12.78  																																									|
% 40.58/12.78  																																									| Equations (912) can reduce 23 to:
% 40.58/12.78  																																									| (311) $false
% 40.58/12.78  																																									|
% 40.58/12.78  																																									|-The branch is then unsatisfiable
% 40.58/12.78  																																								|-Branch two:
% 40.58/12.78  																																								| (914)  ~ (all_0_82_82 = e0)
% 40.58/12.78  																																								| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 40.58/12.78  																																								|
% 40.58/12.78  																																									+-Applying beta-rule and splitting (2), into two cases.
% 40.58/12.78  																																									|-Branch one:
% 40.58/12.78  																																									| (916) all_0_84_84 = e0
% 40.58/12.78  																																									|
% 40.58/12.78  																																										| Combining equations (916,552) yields a new equation:
% 40.58/12.78  																																										| (379) e2 = e0
% 40.58/12.78  																																										|
% 40.58/12.78  																																										| Equations (379) can reduce 76 to:
% 40.58/12.78  																																										| (311) $false
% 40.58/12.78  																																										|
% 40.58/12.78  																																										|-The branch is then unsatisfiable
% 40.58/12.78  																																									|-Branch two:
% 40.58/12.78  																																									| (919)  ~ (all_0_84_84 = e0)
% 40.58/12.78  																																									| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 40.58/12.78  																																									|
% 40.58/12.78  																																										| Equations (552) can reduce 919 to:
% 40.58/12.78  																																										| (76)  ~ (e2 = e0)
% 40.58/12.78  																																										|
% 40.58/12.78  																																										+-Applying beta-rule and splitting (915), into two cases.
% 40.58/12.78  																																										|-Branch one:
% 40.58/12.78  																																										| (378) all_0_86_86 = e0
% 40.58/12.78  																																										|
% 40.58/12.78  																																											| Combining equations (345,378) yields a new equation:
% 40.58/12.78  																																											| (923) e2 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																											| Simplifying 923 yields:
% 40.58/12.78  																																											| (379) e2 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																											| Equations (379) can reduce 76 to:
% 40.58/12.78  																																											| (311) $false
% 40.58/12.78  																																											|
% 40.58/12.78  																																											|-The branch is then unsatisfiable
% 40.58/12.78  																																										|-Branch two:
% 40.58/12.78  																																										| (381)  ~ (all_0_86_86 = e0)
% 40.58/12.78  																																										| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 40.58/12.78  																																										|
% 40.58/12.78  																																											+-Applying beta-rule and splitting (920), into two cases.
% 40.58/12.78  																																											|-Branch one:
% 40.58/12.78  																																											| (861) all_0_87_87 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																												| Equations (861) can reduce 889 to:
% 40.58/12.78  																																												| (311) $false
% 40.58/12.78  																																												|
% 40.58/12.78  																																												|-The branch is then unsatisfiable
% 40.58/12.78  																																											|-Branch two:
% 40.58/12.78  																																											| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.78  																																											| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 40.58/12.78  																																											|
% 40.58/12.78  																																												+-Applying beta-rule and splitting (927), into two cases.
% 40.58/12.78  																																												|-Branch one:
% 40.58/12.78  																																												| (758) all_0_90_90 = e0
% 40.58/12.78  																																												|
% 40.58/12.78  																																													| Combining equations (754,758) yields a new equation:
% 40.58/12.78  																																													| (599) e3 = e0
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Simplifying 599 yields:
% 40.58/12.78  																																													| (600) e3 = e0
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Equations (600) can reduce 50 to:
% 40.58/12.78  																																													| (311) $false
% 40.58/12.78  																																													|
% 40.58/12.78  																																													|-The branch is then unsatisfiable
% 40.58/12.78  																																												|-Branch two:
% 40.58/12.78  																																												| (762)  ~ (all_0_90_90 = e0)
% 40.58/12.78  																																												| (858) all_0_95_95 = e0
% 40.58/12.78  																																												|
% 40.58/12.78  																																													| Equations (858) can reduce 105 to:
% 40.58/12.78  																																													| (938)  ~ (all_0_97_97 = e0)
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Simplifying 938 yields:
% 40.58/12.78  																																													| (609)  ~ (all_0_97_97 = e0)
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Equations (858) can reduce 315 to:
% 40.58/12.78  																																													| (904)  ~ (e4 = e0)
% 40.58/12.78  																																													|
% 40.58/12.78  																																													| Simplifying 904 yields:
% 40.58/12.78  																																													| (23)  ~ (e4 = e0)
% 40.58/12.78  																																													|
% 40.58/12.78  																																													+-Applying beta-rule and splitting (931), into two cases.
% 40.58/12.78  																																													|-Branch one:
% 40.58/12.78  																																													| (942) all_0_92_92 = e0
% 40.58/12.78  																																													|
% 40.58/12.78  																																														| Combining equations (442,942) yields a new equation:
% 40.58/12.78  																																														| (911) e4 = e0
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Simplifying 911 yields:
% 40.58/12.78  																																														| (912) e4 = e0
% 40.58/12.78  																																														|
% 40.58/12.78  																																														| Equations (912) can reduce 23 to:
% 40.58/12.78  																																														| (311) $false
% 40.58/12.78  																																														|
% 40.58/12.78  																																														|-The branch is then unsatisfiable
% 40.58/12.78  																																													|-Branch two:
% 40.58/12.78  																																													| (946)  ~ (all_0_92_92 = e0)
% 40.58/12.78  																																													| (560) all_0_97_97 = e0
% 40.58/12.78  																																													|
% 40.58/12.78  																																														| Equations (560) can reduce 609 to:
% 40.58/12.78  																																														| (311) $false
% 40.58/12.78  																																														|
% 40.58/12.78  																																														|-The branch is then unsatisfiable
% 40.58/12.78  																																						|-Branch two:
% 40.58/12.78  																																						| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.78  																																						| (744) all_0_95_95 = e3
% 40.58/12.78  																																						|
% 40.58/12.78  																																							| Equations (744) can reduce 765 to:
% 40.58/12.78  																																							| (311) $false
% 40.58/12.78  																																							|
% 40.58/12.78  																																							|-The branch is then unsatisfiable
% 40.58/12.78  																																			|-Branch two:
% 40.58/12.78  																																			| (952)  ~ (all_0_85_85 = e3)
% 40.58/12.78  																																			| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 40.58/12.78  																																			|
% 40.58/12.78  																																				+-Applying beta-rule and splitting (953), into two cases.
% 40.58/12.78  																																				|-Branch one:
% 40.58/12.78  																																				| (954) all_0_85_85 = e0
% 40.58/12.78  																																				|
% 40.58/12.78  																																					| Equations (954) can reduce 800 to:
% 40.58/12.78  																																					| (311) $false
% 40.58/12.78  																																					|
% 40.58/12.78  																																					|-The branch is then unsatisfiable
% 40.58/12.78  																																				|-Branch two:
% 40.58/12.78  																																				| (800)  ~ (all_0_85_85 = e0)
% 40.58/12.78  																																				| (493) all_0_85_85 = e4
% 40.58/12.78  																																				|
% 40.58/12.78  																																					| Equations (493) can reduce 648 to:
% 40.58/12.78  																																					| (311) $false
% 40.58/12.78  																																					|
% 40.58/12.78  																																					|-The branch is then unsatisfiable
% 40.58/12.78  																																		|-Branch two:
% 40.58/12.78  																																		| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.78  																																		| (960) all_0_96_96 = e1
% 40.58/12.78  																																		|
% 40.58/12.78  																																			| Combining equations (778,960) yields a new equation:
% 40.58/12.78  																																			| (825) e3 = e1
% 40.58/12.78  																																			|
% 40.58/12.78  																																			| Simplifying 825 yields:
% 40.58/12.78  																																			| (772) e3 = e1
% 40.58/12.78  																																			|
% 40.58/12.78  																																			| Equations (772) can reduce 20 to:
% 40.58/12.78  																																			| (311) $false
% 40.58/12.78  																																			|
% 40.58/12.78  																																			|-The branch is then unsatisfiable
% 40.58/12.78  																														|-Branch two:
% 40.58/12.78  																														| (964)  ~ (all_0_96_96 = e3)
% 40.58/12.78  																														| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 40.58/12.78  																														|
% 40.58/12.78  																															+-Applying beta-rule and splitting (965), into two cases.
% 40.58/12.78  																															|-Branch one:
% 40.58/12.78  																															| (556) all_0_97_97 = e3
% 40.58/12.78  																															|
% 40.58/12.78  																																| Equations (556) can reduce 428 to:
% 40.58/12.78  																																| (311) $false
% 40.58/12.78  																																|
% 40.58/12.78  																																|-The branch is then unsatisfiable
% 40.58/12.78  																															|-Branch two:
% 40.58/12.78  																															| (428)  ~ (all_0_97_97 = e3)
% 40.58/12.78  																															| (969) all_0_98_98 = e3
% 40.58/12.78  																															|
% 40.58/12.78  																																| Combining equations (969,525) yields a new equation:
% 40.58/12.78  																																| (547) e3 = e2
% 40.58/12.78  																																|
% 40.58/12.78  																																| Simplifying 547 yields:
% 40.58/12.78  																																| (548) e3 = e2
% 40.58/12.78  																																|
% 40.58/12.78  																																| Equations (548) can reduce 169 to:
% 40.58/12.78  																																| (311) $false
% 40.58/12.78  																																|
% 40.58/12.78  																																|-The branch is then unsatisfiable
% 40.58/12.78  																				|-Branch two:
% 40.58/12.78  																				| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.78  																				| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 40.58/12.78  																				|
% 40.58/12.78  																					+-Applying beta-rule and splitting (41), into two cases.
% 40.58/12.78  																					|-Branch one:
% 40.58/12.78  																					| (530) all_0_82_82 = e2
% 40.58/12.78  																					|
% 40.58/12.78  																						| Combining equations (530,469) yields a new equation:
% 40.58/12.78  																						| (310) e4 = e2
% 40.58/12.78  																						|
% 40.58/12.78  																						| Equations (310) can reduce 79 to:
% 40.58/12.78  																						| (311) $false
% 40.58/12.78  																						|
% 40.58/12.78  																						|-The branch is then unsatisfiable
% 40.58/12.78  																					|-Branch two:
% 40.58/12.78  																					| (347)  ~ (all_0_82_82 = e2)
% 40.58/12.78  																					| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 40.58/12.78  																					|
% 40.58/12.78  																						+-Applying beta-rule and splitting (617), into two cases.
% 40.58/12.78  																						|-Branch one:
% 40.58/12.78  																						| (1265) all_0_84_84 = e3
% 40.58/12.79  																						|
% 40.58/12.79  																							| Equations (1265) can reduce 422 to:
% 40.58/12.79  																							| (311) $false
% 40.58/12.79  																							|
% 40.58/12.79  																							|-The branch is then unsatisfiable
% 40.58/12.79  																						|-Branch two:
% 40.58/12.79  																						| (422)  ~ (all_0_84_84 = e3)
% 40.58/12.79  																						| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 40.58/12.79  																						|
% 40.58/12.79  																							+-Applying beta-rule and splitting (533), into two cases.
% 40.58/12.79  																							|-Branch one:
% 40.58/12.79  																							| (453) all_0_83_83 = e2
% 40.58/12.79  																							|
% 40.58/12.79  																								| Equations (453) can reduce 398 to:
% 40.58/12.79  																								| (311) $false
% 40.58/12.79  																								|
% 40.58/12.79  																								|-The branch is then unsatisfiable
% 40.58/12.79  																							|-Branch two:
% 40.58/12.79  																							| (398)  ~ (all_0_83_83 = e2)
% 40.58/12.79  																							| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 40.58/12.79  																							|
% 40.58/12.79  																								+-Applying beta-rule and splitting (192), into two cases.
% 40.58/12.79  																								|-Branch one:
% 40.58/12.79  																								| (546) all_0_80_80 = e2
% 40.58/12.79  																								|
% 40.58/12.79  																									| Combining equations (416,546) yields a new equation:
% 40.58/12.79  																									| (547) e3 = e2
% 40.58/12.79  																									|
% 40.58/12.79  																									| Simplifying 547 yields:
% 40.58/12.79  																									| (548) e3 = e2
% 40.58/12.79  																									|
% 40.58/12.79  																									| Equations (548) can reduce 169 to:
% 40.58/12.79  																									| (311) $false
% 40.58/12.79  																									|
% 40.58/12.79  																									|-The branch is then unsatisfiable
% 40.58/12.79  																								|-Branch two:
% 40.58/12.79  																								| (394)  ~ (all_0_80_80 = e2)
% 40.58/12.79  																								| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 40.58/12.79  																								|
% 40.58/12.79  																									| Equations (416) can reduce 394 to:
% 40.58/12.79  																									| (169)  ~ (e3 = e2)
% 40.58/12.79  																									|
% 40.58/12.79  																									+-Applying beta-rule and splitting (537), into two cases.
% 40.58/12.79  																									|-Branch one:
% 40.58/12.79  																									| (552) all_0_84_84 = e2
% 40.58/12.79  																									|
% 40.58/12.79  																										| Equations (552) can reduce 612 to:
% 40.58/12.79  																										| (311) $false
% 40.58/12.79  																										|
% 40.58/12.79  																										|-The branch is then unsatisfiable
% 40.58/12.79  																									|-Branch two:
% 40.58/12.79  																									| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.79  																									| (512) all_0_85_85 = e2
% 40.58/12.79  																									|
% 40.58/12.79  																										| Equations (512) can reduce 154 to:
% 40.58/12.79  																										| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.79  																										|
% 40.58/12.79  																										| Equations (512) can reduce 201 to:
% 40.58/12.79  																										| (299)  ~ (all_0_93_93 = e2)
% 40.58/12.79  																										|
% 40.58/12.79  																										| Simplifying 299 yields:
% 40.58/12.79  																										| (300)  ~ (all_0_93_93 = e2)
% 40.58/12.79  																										|
% 40.58/12.79  																										| Equations (512) can reduce 648 to:
% 40.58/12.79  																										| (528)  ~ (e4 = e2)
% 40.58/12.79  																										|
% 40.58/12.79  																										| Simplifying 528 yields:
% 40.58/12.79  																										| (79)  ~ (e4 = e2)
% 40.58/12.79  																										|
% 40.58/12.79  																										| Equations (512) can reduce 128 to:
% 40.58/12.79  																										| (243)  ~ (e2 = e1)
% 40.58/12.79  																										|
% 40.58/12.79  																										| From (512) and (26) follows:
% 40.58/12.79  																										| (1290) op(e0, e2) = all_0_71_71
% 40.58/12.79  																										|
% 40.58/12.79  																										+-Applying beta-rule and splitting (171), into two cases.
% 40.58/12.79  																										|-Branch one:
% 40.58/12.79  																										| (789) all_0_82_82 = e3
% 40.58/12.79  																										|
% 40.58/12.79  																											| Combining equations (469,789) yields a new equation:
% 40.58/12.79  																											| (790) e4 = e3
% 40.58/12.79  																											|
% 40.58/12.79  																											| Simplifying 790 yields:
% 40.58/12.79  																											| (434) e4 = e3
% 40.58/12.79  																											|
% 40.58/12.79  																											| Equations (434) can reduce 177 to:
% 40.58/12.79  																											| (311) $false
% 40.58/12.79  																											|
% 40.58/12.79  																											|-The branch is then unsatisfiable
% 40.58/12.79  																										|-Branch two:
% 40.58/12.79  																										| (793)  ~ (all_0_82_82 = e3)
% 40.58/12.79  																										| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 40.58/12.79  																										|
% 40.58/12.79  																											+-Applying beta-rule and splitting (1296), into two cases.
% 40.58/12.79  																											|-Branch one:
% 40.58/12.79  																											| (795) all_0_83_83 = e3
% 40.58/12.79  																											|
% 40.58/12.79  																												| Equations (795) can reduce 146 to:
% 40.58/12.79  																												| (1298)  ~ (all_0_91_91 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Simplifying 1298 yields:
% 40.58/12.79  																												| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Equations (795) can reduce 211 to:
% 40.58/12.79  																												| (1300)  ~ (all_0_96_96 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Simplifying 1300 yields:
% 40.58/12.79  																												| (964)  ~ (all_0_96_96 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Equations (795) can reduce 155 to:
% 40.58/12.79  																												| (783)  ~ (e4 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Simplifying 783 yields:
% 40.58/12.79  																												| (177)  ~ (e4 = e3)
% 40.58/12.79  																												|
% 40.58/12.79  																												| Equations (795) can reduce 113 to:
% 40.58/12.79  																												| (20)  ~ (e3 = e1)
% 40.58/12.79  																												|
% 40.58/12.79  																												+-Applying beta-rule and splitting (249), into two cases.
% 40.58/12.79  																												|-Branch one:
% 40.58/12.79  																												| (910) all_0_82_82 = e0
% 40.58/12.79  																												|
% 40.58/12.79  																													| Combining equations (910,469) yields a new equation:
% 40.58/12.79  																													| (912) e4 = e0
% 40.58/12.79  																													|
% 40.58/12.79  																													| Equations (912) can reduce 23 to:
% 40.58/12.79  																													| (311) $false
% 40.58/12.79  																													|
% 40.58/12.79  																													|-The branch is then unsatisfiable
% 40.58/12.79  																												|-Branch two:
% 40.58/12.79  																												| (914)  ~ (all_0_82_82 = e0)
% 40.58/12.79  																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 40.58/12.79  																												|
% 40.58/12.79  																													+-Applying beta-rule and splitting (1309), into two cases.
% 40.58/12.79  																													|-Branch one:
% 40.58/12.79  																													| (798) all_0_83_83 = e0
% 40.58/12.79  																													|
% 40.58/12.79  																														| Combining equations (795,798) yields a new equation:
% 40.58/12.79  																														| (599) e3 = e0
% 40.58/12.79  																														|
% 40.58/12.79  																														| Simplifying 599 yields:
% 40.58/12.79  																														| (600) e3 = e0
% 40.58/12.79  																														|
% 40.58/12.79  																														| Equations (600) can reduce 50 to:
% 40.58/12.79  																														| (311) $false
% 40.58/12.79  																														|
% 40.58/12.79  																														|-The branch is then unsatisfiable
% 40.58/12.79  																													|-Branch two:
% 40.58/12.79  																													| (1314)  ~ (all_0_83_83 = e0)
% 40.58/12.79  																													| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 40.58/12.79  																													|
% 40.58/12.79  																														+-Applying beta-rule and splitting (1315), into two cases.
% 40.58/12.79  																														|-Branch one:
% 40.58/12.79  																														| (916) all_0_84_84 = e0
% 40.58/12.79  																														|
% 40.58/12.79  																															| Equations (916) can reduce 124 to:
% 40.58/12.79  																															| (1317)  ~ (all_0_87_87 = e0)
% 40.58/12.79  																															|
% 40.58/12.79  																															| Simplifying 1317 yields:
% 40.58/12.79  																															| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.79  																															|
% 40.58/12.79  																															| Equations (916) can reduce 612 to:
% 40.58/12.79  																															| (510)  ~ (e2 = e0)
% 40.58/12.79  																															|
% 40.58/12.79  																															| Simplifying 510 yields:
% 40.58/12.79  																															| (76)  ~ (e2 = e0)
% 40.58/12.79  																															|
% 40.58/12.79  																															| From (916) and (122) follows:
% 40.58/12.79  																															| (1321) op(e1, e0) = all_0_62_62
% 40.58/12.79  																															|
% 40.58/12.79  																															+-Applying beta-rule and splitting (551), into two cases.
% 40.58/12.79  																															|-Branch one:
% 40.58/12.79  																															| (552) all_0_84_84 = e2
% 40.58/12.79  																															|
% 40.58/12.79  																																| Combining equations (916,552) yields a new equation:
% 40.58/12.79  																																| (379) e2 = e0
% 40.58/12.79  																																|
% 40.58/12.79  																																| Equations (379) can reduce 76 to:
% 40.58/12.79  																																| (311) $false
% 40.58/12.79  																																|
% 40.58/12.79  																																|-The branch is then unsatisfiable
% 40.58/12.79  																															|-Branch two:
% 40.58/12.79  																															| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.79  																															| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 40.58/12.79  																															|
% 40.58/12.79  																																+-Applying beta-rule and splitting (382), into two cases.
% 40.58/12.79  																																|-Branch one:
% 40.58/12.79  																																| (861) all_0_87_87 = e0
% 40.58/12.79  																																|
% 40.58/12.79  																																	| Equations (861) can reduce 889 to:
% 40.58/12.79  																																	| (311) $false
% 40.58/12.79  																																	|
% 40.58/12.79  																																	|-The branch is then unsatisfiable
% 40.58/12.79  																																|-Branch two:
% 40.58/12.79  																																| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.79  																																| (507) all_0_88_88 = e0
% 40.58/12.79  																																|
% 40.58/12.79  																																	| Equations (507) can reduce 181 to:
% 40.58/12.79  																																	| (889)  ~ (all_0_87_87 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Equations (507) can reduce 286 to:
% 40.58/12.79  																																	| (508)  ~ (all_0_93_93 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Simplifying 508 yields:
% 40.58/12.79  																																	| (509)  ~ (all_0_93_93 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Equations (507) can reduce 93 to:
% 40.58/12.79  																																	| (904)  ~ (e4 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Simplifying 904 yields:
% 40.58/12.79  																																	| (23)  ~ (e4 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Equations (507) can reduce 191 to:
% 40.58/12.79  																																	| (906)  ~ (e3 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| Simplifying 906 yields:
% 40.58/12.79  																																	| (50)  ~ (e3 = e0)
% 40.58/12.79  																																	|
% 40.58/12.79  																																	| From (507) and (239) follows:
% 40.58/12.79  																																	| (1338) op(e0, e0) = all_0_73_73
% 40.58/12.79  																																	|
% 40.58/12.79  																																	+-Applying beta-rule and splitting (613), into two cases.
% 40.58/12.79  																																	|-Branch one:
% 40.58/12.79  																																	| (374) all_0_87_87 = e2
% 40.58/12.79  																																	|
% 40.58/12.79  																																		| Equations (374) can reduce 349 to:
% 40.58/12.79  																																		| (311) $false
% 40.58/12.79  																																		|
% 40.58/12.79  																																		|-The branch is then unsatisfiable
% 40.58/12.79  																																	|-Branch two:
% 40.58/12.79  																																	| (349)  ~ (all_0_87_87 = e2)
% 40.58/12.79  																																	| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 40.58/12.79  																																	|
% 40.58/12.79  																																		+-Applying beta-rule and splitting (1342), into two cases.
% 40.58/12.79  																																		|-Branch one:
% 40.58/12.79  																																		| (1343) all_0_92_92 = e2
% 40.58/12.79  																																		|
% 40.58/12.79  																																			| Combining equations (1343,442) yields a new equation:
% 40.58/12.79  																																			| (310) e4 = e2
% 40.58/12.79  																																			|
% 40.58/12.79  																																			| Equations (310) can reduce 79 to:
% 40.58/12.79  																																			| (311) $false
% 40.58/12.79  																																			|
% 40.58/12.79  																																			|-The branch is then unsatisfiable
% 40.58/12.79  																																		|-Branch two:
% 40.58/12.79  																																		| (298)  ~ (all_0_92_92 = e2)
% 40.58/12.79  																																		| (538) all_0_97_97 = e2
% 40.58/12.79  																																		|
% 40.58/12.79  																																			| Equations (538) can reduce 148 to:
% 40.58/12.79  																																			| (1348)  ~ (all_0_98_98 = e2)
% 40.58/12.79  																																			|
% 40.58/12.79  																																			| Simplifying 1348 yields:
% 40.58/12.79  																																			| (1349)  ~ (all_0_98_98 = e2)
% 40.58/12.79  																																			|
% 40.58/12.79  																																			| Equations (538) can reduce 319 to:
% 40.58/12.79  																																			| (528)  ~ (e4 = e2)
% 40.58/12.79  																																			|
% 40.58/12.79  																																			| Simplifying 528 yields:
% 40.58/12.79  																																			| (79)  ~ (e4 = e2)
% 40.58/12.79  																																			|
% 40.58/12.79  																																			| From (538) and (69) follows:
% 40.58/12.79  																																			| (1352) op(e0, e2) = all_0_68_68
% 40.58/12.79  																																			|
% 40.58/12.79  																																			+-Applying beta-rule and splitting (151), into two cases.
% 40.58/12.79  																																			|-Branch one:
% 40.58/12.79  																																			| (824) all_0_80_80 = e1
% 40.58/12.79  																																			|
% 40.58/12.79  																																				| Combining equations (416,824) yields a new equation:
% 40.58/12.79  																																				| (825) e3 = e1
% 40.58/12.79  																																				|
% 40.58/12.79  																																				| Simplifying 825 yields:
% 40.58/12.79  																																				| (772) e3 = e1
% 40.58/12.79  																																				|
% 40.58/12.79  																																				| Equations (772) can reduce 20 to:
% 40.58/12.79  																																				| (311) $false
% 40.58/12.79  																																				|
% 40.58/12.79  																																				|-The branch is then unsatisfiable
% 40.58/12.79  																																			|-Branch two:
% 40.58/12.79  																																			| (828)  ~ (all_0_80_80 = e1)
% 40.58/12.79  																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.79  																																			|
% 40.58/12.79  																																				+-Applying beta-rule and splitting (829), into two cases.
% 40.58/12.79  																																				|-Branch one:
% 40.58/12.79  																																				| (482) all_0_87_87 = e1
% 40.58/12.79  																																				|
% 40.58/12.79  																																					| Equations (482) can reduce 216 to:
% 40.58/12.79  																																					| (681)  ~ (e4 = e1)
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Simplifying 681 yields:
% 40.58/12.79  																																					| (256)  ~ (e4 = e1)
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Equations (482) can reduce 227 to:
% 40.58/12.79  																																					| (683)  ~ (e3 = e1)
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Simplifying 683 yields:
% 40.58/12.79  																																					| (20)  ~ (e3 = e1)
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Equations (482) can reduce 889 to:
% 40.58/12.79  																																					| (264)  ~ (e1 = e0)
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| From (482) and (16) follows:
% 40.58/12.79  																																					| (489) op(e1, e1) = all_0_64_64
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Instantiating formula (262) with e1, e1, all_0_64_64, e4 and discharging atoms op(e1, e1) = all_0_64_64, op(e1, e1) = e4, yields:
% 40.58/12.79  																																					| (575) all_0_64_64 = e4
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 40.58/12.79  																																					| (1367) all_0_62_62 = all_0_93_93
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 40.58/12.79  																																					| (1368) all_0_68_68 = all_0_96_96
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Instantiating formula (262) with e0, e2, all_0_71_71, all_0_68_68 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_71_71, yields:
% 40.58/12.79  																																					| (1369) all_0_68_68 = all_0_71_71
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_98_98 and discharging atoms op(e0, e0) = all_0_73_73, op(e0, e0) = all_0_98_98, yields:
% 40.58/12.79  																																					| (1370) all_0_73_73 = all_0_98_98
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Combining equations (1368,1369) yields a new equation:
% 40.58/12.79  																																					| (1371) all_0_71_71 = all_0_96_96
% 40.58/12.79  																																					|
% 40.58/12.79  																																					| Combining equations (1371,1369) yields a new equation:
% 40.58/12.79  																																					| (1368) all_0_68_68 = all_0_96_96
% 40.58/12.79  																																					|
% 40.58/12.79  																																					+-Applying beta-rule and splitting (89), into two cases.
% 40.58/12.79  																																					|-Branch one:
% 40.58/12.79  																																					| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 40.58/12.79  																																					|
% 40.58/12.79  																																						+-Applying beta-rule and splitting (1373), into two cases.
% 40.58/12.79  																																						|-Branch one:
% 40.58/12.79  																																						| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 40.58/12.79  																																						|
% 40.58/12.79  																																							+-Applying beta-rule and splitting (1374), into two cases.
% 40.58/12.79  																																							|-Branch one:
% 40.58/12.79  																																							| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 40.58/12.79  																																							|
% 40.58/12.79  																																								| Applying alpha-rule on (1375) yields:
% 40.58/12.79  																																								| (1376) all_0_69_69 = e4
% 40.58/12.79  																																								| (1377)  ~ (all_0_70_70 = e0)
% 40.58/12.79  																																								|
% 40.58/12.79  																																								| Equations (686) can reduce 1377 to:
% 40.58/12.79  																																								| (311) $false
% 40.58/12.79  																																								|
% 40.58/12.79  																																								|-The branch is then unsatisfiable
% 40.58/12.79  																																							|-Branch two:
% 40.58/12.79  																																							| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 40.58/12.79  																																							|
% 40.58/12.79  																																								| Applying alpha-rule on (1379) yields:
% 40.58/12.79  																																								| (1380) all_0_71_71 = e3
% 40.58/12.79  																																								| (1381)  ~ (all_0_72_72 = e0)
% 40.58/12.79  																																								|
% 40.58/12.79  																																								| Combining equations (1371,1380) yields a new equation:
% 40.58/12.79  																																								| (1382) all_0_96_96 = e3
% 40.58/12.79  																																								|
% 40.58/12.79  																																								| Simplifying 1382 yields:
% 40.58/12.79  																																								| (778) all_0_96_96 = e3
% 40.58/12.79  																																								|
% 40.58/12.79  																																								| Equations (778) can reduce 964 to:
% 40.58/12.79  																																								| (311) $false
% 40.58/12.79  																																								|
% 40.58/12.79  																																								|-The branch is then unsatisfiable
% 40.58/12.79  																																						|-Branch two:
% 40.58/12.79  																																						| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 40.58/12.79  																																						|
% 40.58/12.80  																																							| Applying alpha-rule on (1385) yields:
% 40.58/12.80  																																							| (1386) all_0_73_73 = e2
% 40.58/12.80  																																							| (1387)  ~ (all_0_74_74 = e0)
% 40.58/12.80  																																							|
% 40.58/12.80  																																							| Combining equations (1370,1386) yields a new equation:
% 40.58/12.80  																																							| (1388) all_0_98_98 = e2
% 40.58/12.80  																																							|
% 40.58/12.80  																																							| Simplifying 1388 yields:
% 40.58/12.80  																																							| (525) all_0_98_98 = e2
% 40.58/12.80  																																							|
% 40.58/12.80  																																							| Equations (525) can reduce 1349 to:
% 40.58/12.80  																																							| (311) $false
% 40.58/12.80  																																							|
% 40.58/12.80  																																							|-The branch is then unsatisfiable
% 40.58/12.80  																																					|-Branch two:
% 40.58/12.80  																																					| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 40.58/12.80  																																					|
% 40.58/12.80  																																						| Applying alpha-rule on (1391) yields:
% 40.58/12.80  																																						| (1392) all_0_75_75 = e1
% 40.58/12.80  																																						| (1393)  ~ (all_0_76_76 = e0)
% 40.58/12.80  																																						|
% 40.58/12.80  																																						| From (1392) and (173) follows:
% 40.58/12.80  																																						| (1394) op(e0, all_0_93_93) = e1
% 40.58/12.80  																																						|
% 40.58/12.80  																																						+-Applying beta-rule and splitting (219), into two cases.
% 40.58/12.80  																																						|-Branch one:
% 40.58/12.80  																																						| (798) all_0_83_83 = e0
% 40.58/12.80  																																						|
% 40.58/12.80  																																							| Combining equations (795,798) yields a new equation:
% 40.58/12.80  																																							| (599) e3 = e0
% 40.58/12.80  																																							|
% 40.58/12.80  																																							| Simplifying 599 yields:
% 40.58/12.80  																																							| (600) e3 = e0
% 40.58/12.80  																																							|
% 40.58/12.80  																																							| Equations (600) can reduce 50 to:
% 40.58/12.80  																																							| (311) $false
% 40.58/12.80  																																							|
% 40.58/12.80  																																							|-The branch is then unsatisfiable
% 40.58/12.80  																																						|-Branch two:
% 40.58/12.80  																																						| (1314)  ~ (all_0_83_83 = e0)
% 40.58/12.80  																																						| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 40.58/12.80  																																						|
% 40.58/12.80  																																							| Equations (795) can reduce 1314 to:
% 40.58/12.80  																																							| (50)  ~ (e3 = e0)
% 40.58/12.80  																																							|
% 40.58/12.80  																																							+-Applying beta-rule and splitting (282), into two cases.
% 40.58/12.80  																																							|-Branch one:
% 40.58/12.80  																																							| (754) all_0_90_90 = e3
% 40.58/12.80  																																							|
% 40.58/12.80  																																								| Combining equations (754,451) yields a new equation:
% 40.58/12.80  																																								| (1403) all_0_60_60 = e3
% 40.58/12.80  																																								|
% 40.58/12.80  																																								| Equations (754) can reduce 34 to:
% 40.58/12.80  																																								| (807)  ~ (all_0_93_93 = e3)
% 40.58/12.80  																																								|
% 40.58/12.80  																																								| Simplifying 807 yields:
% 40.58/12.80  																																								| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.80  																																								|
% 40.58/12.80  																																								| Equations (754) can reduce 467 to:
% 40.58/12.80  																																								| (783)  ~ (e4 = e3)
% 40.58/12.80  																																								|
% 40.58/12.80  																																								| Simplifying 783 yields:
% 40.58/12.80  																																								| (177)  ~ (e4 = e3)
% 40.58/12.80  																																								|
% 40.58/12.80  																																								+-Applying beta-rule and splitting (65), into two cases.
% 40.58/12.80  																																								|-Branch one:
% 40.58/12.80  																																								| (522) all_0_93_93 = e2
% 40.58/12.80  																																								|
% 40.58/12.80  																																									| Equations (522) can reduce 300 to:
% 40.58/12.80  																																									| (311) $false
% 40.58/12.80  																																									|
% 40.58/12.80  																																									|-The branch is then unsatisfiable
% 40.58/12.80  																																								|-Branch two:
% 40.58/12.80  																																								| (300)  ~ (all_0_93_93 = e2)
% 40.58/12.80  																																								| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 40.58/12.80  																																								|
% 40.58/12.80  																																									+-Applying beta-rule and splitting (565), into two cases.
% 40.58/12.80  																																									|-Branch one:
% 40.58/12.80  																																									| (566) all_0_93_93 = e1
% 40.58/12.80  																																									|
% 40.58/12.80  																																										| Combining equations (566,1367) yields a new equation:
% 40.58/12.80  																																										| (1413) all_0_62_62 = e1
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Equations (566) can reduce 44 to:
% 40.58/12.80  																																										| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.80  																																										|
% 40.58/12.80  																																										+-Applying beta-rule and splitting (462), into two cases.
% 40.58/12.80  																																										|-Branch one:
% 40.58/12.80  																																										| (801) all_0_91_91 = e1
% 40.58/12.80  																																										|
% 40.58/12.80  																																											| Equations (801) can reduce 959 to:
% 40.58/12.80  																																											| (311) $false
% 40.58/12.80  																																											|
% 40.58/12.80  																																											|-The branch is then unsatisfiable
% 40.58/12.80  																																										|-Branch two:
% 40.58/12.80  																																										| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.80  																																										| (960) all_0_96_96 = e1
% 40.58/12.80  																																										|
% 40.58/12.80  																																											| Combining equations (960,1368) yields a new equation:
% 40.58/12.80  																																											| (1419) all_0_68_68 = e1
% 40.58/12.80  																																											|
% 40.58/12.80  																																											| Equations (960) can reduce 964 to:
% 40.58/12.80  																																											| (683)  ~ (e3 = e1)
% 40.58/12.80  																																											|
% 40.58/12.80  																																											| Simplifying 683 yields:
% 40.58/12.80  																																											| (20)  ~ (e3 = e1)
% 40.58/12.80  																																											|
% 40.58/12.80  																																											+-Applying beta-rule and splitting (276), into two cases.
% 40.58/12.80  																																											|-Branch one:
% 40.58/12.80  																																											| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 40.58/12.80  																																											|
% 40.58/12.80  																																												+-Applying beta-rule and splitting (577), into two cases.
% 40.58/12.80  																																												|-Branch one:
% 40.58/12.80  																																												| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 40.58/12.80  																																												|
% 40.58/12.80  																																													+-Applying beta-rule and splitting (578), into two cases.
% 40.58/12.80  																																													|-Branch one:
% 40.58/12.80  																																													| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 40.58/12.80  																																													|
% 40.58/12.80  																																														| Applying alpha-rule on (579) yields:
% 40.58/12.80  																																														| (580) all_0_60_60 = e4
% 40.58/12.80  																																														| (581)  ~ (all_0_61_61 = e1)
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Combining equations (580,1403) yields a new equation:
% 40.58/12.80  																																														| (790) e4 = e3
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Simplifying 790 yields:
% 40.58/12.80  																																														| (434) e4 = e3
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Equations (434) can reduce 177 to:
% 40.58/12.80  																																														| (311) $false
% 40.58/12.80  																																														|
% 40.58/12.80  																																														|-The branch is then unsatisfiable
% 40.58/12.80  																																													|-Branch two:
% 40.58/12.80  																																													| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 40.58/12.80  																																													|
% 40.58/12.80  																																														| Applying alpha-rule on (585) yields:
% 40.58/12.80  																																														| (586) all_0_62_62 = e3
% 40.58/12.80  																																														| (587)  ~ (all_0_63_63 = e1)
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Combining equations (1413,586) yields a new equation:
% 40.58/12.80  																																														| (772) e3 = e1
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Equations (772) can reduce 20 to:
% 40.58/12.80  																																														| (311) $false
% 40.58/12.80  																																														|
% 40.58/12.80  																																														|-The branch is then unsatisfiable
% 40.58/12.80  																																												|-Branch two:
% 40.58/12.80  																																												| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 40.58/12.80  																																												|
% 40.58/12.80  																																													| Applying alpha-rule on (590) yields:
% 40.58/12.80  																																													| (591) all_0_64_64 = e2
% 40.58/12.80  																																													| (592)  ~ (all_0_65_65 = e1)
% 40.58/12.80  																																													|
% 40.58/12.80  																																													| Combining equations (591,575) yields a new equation:
% 40.58/12.80  																																													| (310) e4 = e2
% 40.58/12.80  																																													|
% 40.58/12.80  																																													| Equations (310) can reduce 79 to:
% 40.58/12.80  																																													| (311) $false
% 40.58/12.80  																																													|
% 40.58/12.80  																																													|-The branch is then unsatisfiable
% 40.58/12.80  																																											|-Branch two:
% 40.58/12.80  																																											| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 40.58/12.80  																																											|
% 40.58/12.80  																																												| Applying alpha-rule on (596) yields:
% 40.58/12.80  																																												| (597) all_0_67_67 = e0
% 40.58/12.80  																																												| (598)  ~ (all_0_68_68 = e1)
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| Equations (1419) can reduce 598 to:
% 40.58/12.80  																																												| (311) $false
% 40.58/12.80  																																												|
% 40.58/12.80  																																												|-The branch is then unsatisfiable
% 40.58/12.80  																																									|-Branch two:
% 40.58/12.80  																																									| (481)  ~ (all_0_93_93 = e1)
% 40.58/12.80  																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 40.58/12.80  																																									|
% 40.58/12.80  																																										+-Applying beta-rule and splitting (569), into two cases.
% 40.58/12.80  																																										|-Branch one:
% 40.58/12.80  																																										| (570) all_0_93_93 = e3
% 40.58/12.80  																																										|
% 40.58/12.80  																																											| Equations (570) can reduce 602 to:
% 40.58/12.80  																																											| (311) $false
% 40.58/12.80  																																											|
% 40.58/12.80  																																											|-The branch is then unsatisfiable
% 40.58/12.80  																																										|-Branch two:
% 40.58/12.80  																																										| (602)  ~ (all_0_93_93 = e3)
% 40.58/12.80  																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 40.58/12.80  																																										|
% 40.58/12.80  																																											+-Applying beta-rule and splitting (291), into two cases.
% 40.58/12.80  																																											|-Branch one:
% 40.58/12.80  																																											| (758) all_0_90_90 = e0
% 40.58/12.80  																																											|
% 40.58/12.80  																																												| Combining equations (754,758) yields a new equation:
% 40.58/12.80  																																												| (599) e3 = e0
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| Simplifying 599 yields:
% 40.58/12.80  																																												| (600) e3 = e0
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| Equations (600) can reduce 50 to:
% 40.58/12.80  																																												| (311) $false
% 40.58/12.80  																																												|
% 40.58/12.80  																																												|-The branch is then unsatisfiable
% 40.58/12.80  																																											|-Branch two:
% 40.58/12.80  																																											| (762)  ~ (all_0_90_90 = e0)
% 40.58/12.80  																																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 40.58/12.80  																																											|
% 40.58/12.80  																																												+-Applying beta-rule and splitting (1455), into two cases.
% 40.58/12.80  																																												|-Branch one:
% 40.58/12.80  																																												| (1456) all_0_91_91 = e0
% 40.58/12.80  																																												|
% 40.58/12.80  																																													+-Applying beta-rule and splitting (276), into two cases.
% 40.58/12.80  																																													|-Branch one:
% 40.58/12.80  																																													| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 40.58/12.80  																																													|
% 40.58/12.80  																																														+-Applying beta-rule and splitting (577), into two cases.
% 40.58/12.80  																																														|-Branch one:
% 40.58/12.80  																																														| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 40.58/12.80  																																														|
% 40.58/12.80  																																															+-Applying beta-rule and splitting (578), into two cases.
% 40.58/12.80  																																															|-Branch one:
% 40.58/12.80  																																															| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 40.58/12.80  																																															|
% 40.58/12.80  																																																| Applying alpha-rule on (579) yields:
% 40.58/12.80  																																																| (580) all_0_60_60 = e4
% 40.58/12.80  																																																| (581)  ~ (all_0_61_61 = e1)
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Combining equations (580,1403) yields a new equation:
% 40.58/12.80  																																																| (790) e4 = e3
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Simplifying 790 yields:
% 40.58/12.80  																																																| (434) e4 = e3
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Equations (434) can reduce 177 to:
% 40.58/12.80  																																																| (311) $false
% 40.58/12.80  																																																|
% 40.58/12.80  																																																|-The branch is then unsatisfiable
% 40.58/12.80  																																															|-Branch two:
% 40.58/12.80  																																															| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 40.58/12.80  																																															|
% 40.58/12.80  																																																| Applying alpha-rule on (585) yields:
% 40.58/12.80  																																																| (586) all_0_62_62 = e3
% 40.58/12.80  																																																| (587)  ~ (all_0_63_63 = e1)
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Combining equations (1367,586) yields a new equation:
% 40.58/12.80  																																																| (1468) all_0_93_93 = e3
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Simplifying 1468 yields:
% 40.58/12.80  																																																| (570) all_0_93_93 = e3
% 40.58/12.80  																																																|
% 40.58/12.80  																																																| Equations (570) can reduce 602 to:
% 40.58/12.80  																																																| (311) $false
% 40.58/12.80  																																																|
% 40.58/12.80  																																																|-The branch is then unsatisfiable
% 40.58/12.80  																																														|-Branch two:
% 40.58/12.80  																																														| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 40.58/12.80  																																														|
% 40.58/12.80  																																															| Applying alpha-rule on (590) yields:
% 40.58/12.80  																																															| (591) all_0_64_64 = e2
% 40.58/12.80  																																															| (592)  ~ (all_0_65_65 = e1)
% 40.58/12.80  																																															|
% 40.58/12.80  																																															| Combining equations (591,575) yields a new equation:
% 40.58/12.80  																																															| (310) e4 = e2
% 40.58/12.80  																																															|
% 40.58/12.80  																																															| Equations (310) can reduce 79 to:
% 40.58/12.80  																																															| (311) $false
% 40.58/12.80  																																															|
% 40.58/12.80  																																															|-The branch is then unsatisfiable
% 40.58/12.80  																																													|-Branch two:
% 40.58/12.80  																																													| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 40.58/12.80  																																													|
% 40.58/12.80  																																														| Applying alpha-rule on (596) yields:
% 40.58/12.80  																																														| (597) all_0_67_67 = e0
% 40.58/12.80  																																														| (598)  ~ (all_0_68_68 = e1)
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Equations (1368) can reduce 598 to:
% 40.58/12.80  																																														| (1479)  ~ (all_0_96_96 = e1)
% 40.58/12.80  																																														|
% 40.58/12.80  																																														+-Applying beta-rule and splitting (462), into two cases.
% 40.58/12.80  																																														|-Branch one:
% 40.58/12.80  																																														| (801) all_0_91_91 = e1
% 40.58/12.80  																																														|
% 40.58/12.80  																																															| Combining equations (801,1456) yields a new equation:
% 40.58/12.80  																																															| (1107) e1 = e0
% 40.58/12.80  																																															|
% 40.58/12.80  																																															| Simplifying 1107 yields:
% 40.58/12.80  																																															| (865) e1 = e0
% 40.58/12.80  																																															|
% 40.58/12.80  																																															| Equations (865) can reduce 264 to:
% 40.58/12.80  																																															| (311) $false
% 40.58/12.80  																																															|
% 40.58/12.80  																																															|-The branch is then unsatisfiable
% 40.58/12.80  																																														|-Branch two:
% 40.58/12.80  																																														| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.80  																																														| (960) all_0_96_96 = e1
% 40.58/12.80  																																														|
% 40.58/12.80  																																															| Equations (960) can reduce 1479 to:
% 40.58/12.80  																																															| (311) $false
% 40.58/12.80  																																															|
% 40.58/12.80  																																															|-The branch is then unsatisfiable
% 40.58/12.80  																																												|-Branch two:
% 40.58/12.80  																																												| (1487)  ~ (all_0_91_91 = e0)
% 40.58/12.80  																																												| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 40.58/12.80  																																												|
% 40.58/12.80  																																													+-Applying beta-rule and splitting (1488), into two cases.
% 40.58/12.80  																																													|-Branch one:
% 40.58/12.80  																																													| (942) all_0_92_92 = e0
% 40.58/12.80  																																													|
% 40.58/12.80  																																														| Combining equations (942,442) yields a new equation:
% 40.58/12.80  																																														| (912) e4 = e0
% 40.58/12.80  																																														|
% 40.58/12.80  																																														| Equations (912) can reduce 23 to:
% 40.58/12.80  																																														| (311) $false
% 40.58/12.80  																																														|
% 40.58/12.80  																																														|-The branch is then unsatisfiable
% 40.58/12.80  																																													|-Branch two:
% 40.58/12.80  																																													| (946)  ~ (all_0_92_92 = e0)
% 40.58/12.80  																																													| (604) all_0_93_93 = e0
% 40.58/12.80  																																													|
% 40.58/12.80  																																														| Equations (604) can reduce 509 to:
% 40.58/12.80  																																														| (311) $false
% 40.58/12.80  																																														|
% 40.58/12.80  																																														|-The branch is then unsatisfiable
% 40.58/12.80  																																							|-Branch two:
% 40.58/12.80  																																							| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.80  																																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.80  																																							|
% 40.58/12.80  																																								+-Applying beta-rule and splitting (849), into two cases.
% 40.58/12.80  																																								|-Branch one:
% 40.58/12.80  																																								| (588) all_0_91_91 = e3
% 40.58/12.80  																																								|
% 40.58/12.80  																																									| Equations (588) can reduce 571 to:
% 40.58/12.80  																																									| (311) $false
% 40.58/12.80  																																									|
% 40.58/12.80  																																									|-The branch is then unsatisfiable
% 40.58/12.80  																																								|-Branch two:
% 40.58/12.80  																																								| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.80  																																								| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 40.58/12.80  																																								|
% 40.58/12.80  																																									+-Applying beta-rule and splitting (881), into two cases.
% 40.58/12.80  																																									|-Branch one:
% 40.58/12.80  																																									| (882) all_0_92_92 = e3
% 40.58/12.80  																																									|
% 40.58/12.80  																																										| Combining equations (442,882) yields a new equation:
% 40.58/12.80  																																										| (790) e4 = e3
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Simplifying 790 yields:
% 40.58/12.80  																																										| (434) e4 = e3
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Equations (434) can reduce 177 to:
% 40.58/12.80  																																										| (311) $false
% 40.58/12.80  																																										|
% 40.58/12.80  																																										|-The branch is then unsatisfiable
% 40.58/12.80  																																									|-Branch two:
% 40.58/12.80  																																									| (426)  ~ (all_0_92_92 = e3)
% 40.58/12.80  																																									| (570) all_0_93_93 = e3
% 40.58/12.80  																																									|
% 40.58/12.80  																																										| Equations (570) can reduce 34 to:
% 40.58/12.80  																																										| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Equations (570) can reduce 44 to:
% 40.58/12.80  																																										| (571)  ~ (all_0_91_91 = e3)
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Equations (570) can reduce 496 to:
% 40.58/12.80  																																										| (783)  ~ (e4 = e3)
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| Simplifying 783 yields:
% 40.58/12.80  																																										| (177)  ~ (e4 = e3)
% 40.58/12.80  																																										|
% 40.58/12.80  																																										| From (570) and (1394) follows:
% 40.58/12.80  																																										| (1511) op(e0, e3) = e1
% 40.58/12.80  																																										|
% 40.58/12.80  																																										+-Applying beta-rule and splitting (220), into two cases.
% 40.58/12.80  																																										|-Branch one:
% 40.58/12.80  																																										| (771) all_0_78_78 = e3
% 40.58/12.80  																																										|
% 40.58/12.80  																																											| Combining equations (676,771) yields a new equation:
% 40.58/12.80  																																											| (772) e3 = e1
% 40.58/12.80  																																											|
% 40.58/12.80  																																											| Equations (772) can reduce 20 to:
% 40.58/12.80  																																											| (311) $false
% 40.58/12.80  																																											|
% 40.58/12.80  																																											|-The branch is then unsatisfiable
% 40.58/12.80  																																										|-Branch two:
% 40.58/12.80  																																										| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.80  																																										| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.80  																																										|
% 40.58/12.80  																																											+-Applying beta-rule and splitting (270), into two cases.
% 40.58/12.80  																																											|-Branch one:
% 40.58/12.80  																																											| (744) all_0_95_95 = e3
% 40.58/12.80  																																											|
% 40.58/12.80  																																												| Equations (744) can reduce 107 to:
% 40.58/12.80  																																												| (1518)  ~ (all_0_98_98 = e3)
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| Simplifying 1518 yields:
% 40.58/12.80  																																												| (1519)  ~ (all_0_98_98 = e3)
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| Equations (744) can reduce 680 to:
% 40.58/12.80  																																												| (20)  ~ (e3 = e1)
% 40.58/12.80  																																												|
% 40.58/12.80  																																												| From (744) and (280) follows:
% 40.58/12.80  																																												| (1521) op(e0, e3) = all_0_51_51
% 40.58/12.81  																																												|
% 40.58/12.81  																																												| From (744) and (275) follows:
% 40.58/12.81  																																												| (1522) op(e0, e3) = e3
% 40.58/12.81  																																												|
% 40.58/12.81  																																												+-Applying beta-rule and splitting (132), into two cases.
% 40.58/12.81  																																												|-Branch one:
% 40.58/12.81  																																												| (750) all_0_90_90 = e1
% 40.58/12.81  																																												|
% 40.58/12.81  																																													| Equations (750) can reduce 678 to:
% 40.58/12.81  																																													| (311) $false
% 40.58/12.81  																																													|
% 40.58/12.81  																																													|-The branch is then unsatisfiable
% 40.58/12.81  																																												|-Branch two:
% 40.58/12.81  																																												| (678)  ~ (all_0_90_90 = e1)
% 40.58/12.81  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 40.58/12.81  																																												|
% 40.58/12.81  																																													+-Applying beta-rule and splitting (108), into two cases.
% 40.58/12.81  																																													|-Branch one:
% 40.58/12.81  																																													| (477) all_0_81_81 = e1
% 40.58/12.81  																																													|
% 40.58/12.81  																																														| Combining equations (638,477) yields a new equation:
% 40.58/12.81  																																														| (813) e4 = e1
% 40.58/12.81  																																														|
% 40.58/12.81  																																														| Simplifying 813 yields:
% 40.58/12.81  																																														| (814) e4 = e1
% 40.58/12.81  																																														|
% 40.58/12.81  																																														| Equations (814) can reduce 256 to:
% 40.58/12.81  																																														| (311) $false
% 40.58/12.81  																																														|
% 40.58/12.81  																																														|-The branch is then unsatisfiable
% 40.58/12.81  																																													|-Branch two:
% 40.58/12.81  																																													| (628)  ~ (all_0_81_81 = e1)
% 40.58/12.81  																																													| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.81  																																													|
% 40.58/12.81  																																														+-Applying beta-rule and splitting (817), into two cases.
% 40.58/12.81  																																														|-Branch one:
% 40.58/12.81  																																														| (504) all_0_88_88 = e1
% 40.58/12.81  																																														|
% 40.58/12.81  																																															| Combining equations (504,507) yields a new equation:
% 40.58/12.81  																																															| (1107) e1 = e0
% 40.58/12.81  																																															|
% 40.58/12.81  																																															| Simplifying 1107 yields:
% 40.58/12.81  																																															| (865) e1 = e0
% 40.58/12.81  																																															|
% 40.58/12.81  																																															| Equations (865) can reduce 264 to:
% 40.58/12.81  																																															| (311) $false
% 40.58/12.81  																																															|
% 40.58/12.81  																																															|-The branch is then unsatisfiable
% 40.58/12.81  																																														|-Branch two:
% 40.58/12.81  																																														| (479)  ~ (all_0_88_88 = e1)
% 40.58/12.81  																																														| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 40.58/12.81  																																														|
% 40.58/12.81  																																															+-Applying beta-rule and splitting (897), into two cases.
% 40.58/12.81  																																															|-Branch one:
% 40.58/12.81  																																															| (566) all_0_93_93 = e1
% 40.58/12.81  																																															|
% 40.58/12.81  																																																| Combining equations (566,570) yields a new equation:
% 40.58/12.81  																																																| (772) e3 = e1
% 40.58/12.81  																																																|
% 40.58/12.81  																																																| Equations (772) can reduce 20 to:
% 40.58/12.81  																																																| (311) $false
% 40.58/12.81  																																																|
% 40.58/12.81  																																																|-The branch is then unsatisfiable
% 40.58/12.81  																																															|-Branch two:
% 40.58/12.81  																																															| (481)  ~ (all_0_93_93 = e1)
% 40.58/12.81  																																															| (1543) all_0_98_98 = e1
% 40.58/12.81  																																															|
% 40.58/12.81  																																																| Equations (1543) can reduce 321 to:
% 40.58/12.81  																																																| (681)  ~ (e4 = e1)
% 40.58/12.81  																																																|
% 40.58/12.81  																																																| Simplifying 681 yields:
% 40.58/12.81  																																																| (256)  ~ (e4 = e1)
% 40.58/12.81  																																																|
% 40.58/12.81  																																																| Equations (1543) can reduce 1519 to:
% 40.58/12.81  																																																| (683)  ~ (e3 = e1)
% 40.58/12.81  																																																|
% 40.58/12.81  																																																| Simplifying 683 yields:
% 40.58/12.81  																																																| (20)  ~ (e3 = e1)
% 40.58/12.81  																																																|
% 40.58/12.81  																																																+-Applying beta-rule and splitting (1526), into two cases.
% 40.58/12.81  																																																|-Branch one:
% 40.58/12.81  																																																| (801) all_0_91_91 = e1
% 40.58/12.81  																																																|
% 40.58/12.81  																																																	| Equations (801) can reduce 571 to:
% 40.58/12.81  																																																	| (683)  ~ (e3 = e1)
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	| Simplifying 683 yields:
% 40.58/12.81  																																																	| (20)  ~ (e3 = e1)
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	| Instantiating formula (262) with e0, e3, e3, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e3, yields:
% 40.58/12.81  																																																	| (1551) all_0_51_51 = e3
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	| Instantiating formula (262) with e0, e3, e1, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e1, yields:
% 40.58/12.81  																																																	| (1552) all_0_51_51 = e1
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	| Combining equations (1552,1551) yields a new equation:
% 40.58/12.81  																																																	| (772) e3 = e1
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	| Equations (772) can reduce 20 to:
% 40.58/12.81  																																																	| (311) $false
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																	|-The branch is then unsatisfiable
% 40.58/12.81  																																																|-Branch two:
% 40.58/12.81  																																																| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.81  																																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 40.58/12.81  																																																|
% 40.58/12.81  																																																	+-Applying beta-rule and splitting (1556), into two cases.
% 40.58/12.81  																																																	|-Branch one:
% 40.58/12.81  																																																	| (836) all_0_92_92 = e1
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																		| Combining equations (442,836) yields a new equation:
% 40.58/12.81  																																																		| (813) e4 = e1
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		| Simplifying 813 yields:
% 40.58/12.81  																																																		| (814) e4 = e1
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		| Equations (814) can reduce 256 to:
% 40.58/12.81  																																																		| (311) $false
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		|-The branch is then unsatisfiable
% 40.58/12.81  																																																	|-Branch two:
% 40.58/12.81  																																																	| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.81  																																																	| (566) all_0_93_93 = e1
% 40.58/12.81  																																																	|
% 40.58/12.81  																																																		| Combining equations (570,566) yields a new equation:
% 40.58/12.81  																																																		| (825) e3 = e1
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		| Simplifying 825 yields:
% 40.58/12.81  																																																		| (772) e3 = e1
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		| Equations (772) can reduce 20 to:
% 40.58/12.81  																																																		| (311) $false
% 40.58/12.81  																																																		|
% 40.58/12.81  																																																		|-The branch is then unsatisfiable
% 40.58/12.81  																																											|-Branch two:
% 40.58/12.81  																																											| (765)  ~ (all_0_95_95 = e3)
% 40.58/12.81  																																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 40.58/12.81  																																											|
% 40.58/12.81  																																												+-Applying beta-rule and splitting (775), into two cases.
% 40.58/12.81  																																												|-Branch one:
% 40.58/12.81  																																												| (789) all_0_82_82 = e3
% 40.58/12.81  																																												|
% 40.58/12.81  																																													| Combining equations (469,789) yields a new equation:
% 40.58/12.81  																																													| (790) e4 = e3
% 40.58/12.81  																																													|
% 40.58/12.81  																																													| Simplifying 790 yields:
% 40.58/12.81  																																													| (434) e4 = e3
% 40.58/12.81  																																													|
% 40.58/12.81  																																													| Equations (434) can reduce 177 to:
% 40.58/12.81  																																													| (311) $false
% 40.58/12.81  																																													|
% 40.58/12.81  																																													|-The branch is then unsatisfiable
% 40.58/12.81  																																												|-Branch two:
% 40.58/12.81  																																												| (793)  ~ (all_0_82_82 = e3)
% 40.58/12.81  																																												| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 40.58/12.81  																																												|
% 40.58/12.81  																																													+-Applying beta-rule and splitting (794), into two cases.
% 40.58/12.81  																																													|-Branch one:
% 40.58/12.81  																																													| (754) all_0_90_90 = e3
% 40.58/12.81  																																													|
% 40.58/12.81  																																														| Equations (754) can reduce 745 to:
% 40.58/12.81  																																														| (311) $false
% 40.58/12.81  																																														|
% 40.58/12.81  																																														|-The branch is then unsatisfiable
% 40.58/12.81  																																													|-Branch two:
% 40.58/12.81  																																													| (745)  ~ (all_0_90_90 = e3)
% 40.58/12.81  																																													| (744) all_0_95_95 = e3
% 40.58/12.81  																																													|
% 40.58/12.81  																																														| Equations (744) can reduce 765 to:
% 40.58/12.81  																																														| (311) $false
% 40.58/12.81  																																														|
% 40.58/12.81  																																														|-The branch is then unsatisfiable
% 40.58/12.81  																																				|-Branch two:
% 40.58/12.81  																																				| (625)  ~ (all_0_87_87 = e1)
% 40.58/12.81  																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 40.58/12.81  																																				|
% 40.58/12.81  																																					+-Applying beta-rule and splitting (835), into two cases.
% 40.58/12.81  																																					|-Branch one:
% 40.58/12.81  																																					| (836) all_0_92_92 = e1
% 40.58/12.81  																																					|
% 40.58/12.81  																																						| Combining equations (836,442) yields a new equation:
% 40.58/12.81  																																						| (814) e4 = e1
% 40.58/12.81  																																						|
% 40.58/12.81  																																						| Equations (814) can reduce 256 to:
% 40.58/12.81  																																						| (311) $false
% 40.58/12.81  																																						|
% 40.58/12.81  																																						|-The branch is then unsatisfiable
% 40.58/12.81  																																					|-Branch two:
% 40.58/12.81  																																					| (840)  ~ (all_0_92_92 = e1)
% 40.58/12.81  																																					| (542) all_0_97_97 = e1
% 40.58/12.81  																																					|
% 40.58/12.81  																																						| Combining equations (542,538) yields a new equation:
% 40.58/12.81  																																						| (385) e2 = e1
% 40.58/12.81  																																						|
% 40.58/12.81  																																						| Equations (385) can reduce 243 to:
% 40.58/12.81  																																						| (311) $false
% 40.58/12.81  																																						|
% 40.58/12.81  																																						|-The branch is then unsatisfiable
% 40.58/12.81  																														|-Branch two:
% 40.58/12.81  																														| (919)  ~ (all_0_84_84 = e0)
% 40.58/12.81  																														| (954) all_0_85_85 = e0
% 40.58/12.81  																														|
% 40.58/12.81  																															| Combining equations (512,954) yields a new equation:
% 40.58/12.81  																															| (923) e2 = e0
% 40.58/12.81  																															|
% 40.58/12.81  																															| Simplifying 923 yields:
% 40.58/12.81  																															| (379) e2 = e0
% 40.58/12.81  																															|
% 40.58/12.81  																															| Equations (379) can reduce 76 to:
% 40.58/12.81  																															| (311) $false
% 40.58/12.81  																															|
% 40.58/12.81  																															|-The branch is then unsatisfiable
% 40.58/12.81  																											|-Branch two:
% 40.58/12.81  																											| (779)  ~ (all_0_83_83 = e3)
% 40.58/12.81  																											| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 40.58/12.81  																											|
% 40.58/12.81  																												+-Applying beta-rule and splitting (1594), into two cases.
% 40.58/12.81  																												|-Branch one:
% 40.58/12.81  																												| (1265) all_0_84_84 = e3
% 40.58/12.81  																												|
% 40.58/12.81  																													| Equations (1265) can reduce 422 to:
% 40.58/12.81  																													| (311) $false
% 40.58/12.81  																													|
% 40.58/12.81  																													|-The branch is then unsatisfiable
% 40.58/12.81  																												|-Branch two:
% 40.58/12.81  																												| (422)  ~ (all_0_84_84 = e3)
% 40.58/12.81  																												| (804) all_0_85_85 = e3
% 40.58/12.81  																												|
% 40.58/12.81  																													| Combining equations (512,804) yields a new equation:
% 40.58/12.81  																													| (548) e3 = e2
% 40.58/12.81  																													|
% 40.58/12.81  																													| Equations (548) can reduce 169 to:
% 40.58/12.81  																													| (311) $false
% 40.58/12.81  																													|
% 40.58/12.81  																													|-The branch is then unsatisfiable
% 40.58/12.81  																			|-Branch two:
% 40.58/12.81  																			| (1601)  ~ (all_0_78_78 = e1)
% 40.58/12.81  																			| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 40.58/12.81  																			|
% 40.58/12.81  																				+-Applying beta-rule and splitting (675), into two cases.
% 40.58/12.81  																				|-Branch one:
% 40.58/12.81  																				| (676) all_0_78_78 = e1
% 40.58/12.81  																				|
% 40.58/12.81  																					| Equations (676) can reduce 1601 to:
% 40.58/12.81  																					| (311) $false
% 40.58/12.81  																					|
% 40.58/12.81  																					|-The branch is then unsatisfiable
% 40.58/12.81  																				|-Branch two:
% 40.58/12.81  																				| (1601)  ~ (all_0_78_78 = e1)
% 40.58/12.81  																				| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 40.58/12.81  																				|
% 40.58/12.81  																					+-Applying beta-rule and splitting (1606), into two cases.
% 40.58/12.81  																					|-Branch one:
% 40.58/12.81  																					| (771) all_0_78_78 = e3
% 40.58/12.81  																					|
% 40.58/12.81  																						| Equations (771) can reduce 418 to:
% 40.58/12.81  																						| (311) $false
% 40.58/12.81  																						|
% 40.58/12.81  																						|-The branch is then unsatisfiable
% 40.58/12.81  																					|-Branch two:
% 40.58/12.81  																					| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.81  																					| (463) all_0_78_78 = e4
% 40.58/12.81  																					|
% 40.58/12.81  																						| Equations (463) can reduce 640 to:
% 40.58/12.81  																						| (311) $false
% 40.58/12.81  																						|
% 40.58/12.81  																						|-The branch is then unsatisfiable
% 40.58/12.81  																	|-Branch two:
% 40.58/12.81  																	| (465)  ~ (all_0_82_82 = e4)
% 40.58/12.81  																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 40.58/12.81  																	|
% 40.58/12.81  																		+-Applying beta-rule and splitting (472), into two cases.
% 40.58/12.81  																		|-Branch one:
% 40.58/12.81  																		| (438) all_0_84_84 = e4
% 40.58/12.81  																		|
% 40.58/12.81  																			| Equations (438) can reduce 417 to:
% 40.58/12.81  																			| (311) $false
% 40.58/12.81  																			|
% 40.58/12.81  																			|-The branch is then unsatisfiable
% 40.58/12.81  																		|-Branch two:
% 40.58/12.81  																		| (417)  ~ (all_0_84_84 = e4)
% 40.58/12.81  																		| (493) all_0_85_85 = e4
% 40.58/12.81  																		|
% 40.58/12.81  																			| Equations (493) can reduce 648 to:
% 40.58/12.81  																			| (311) $false
% 40.58/12.81  																			|
% 40.58/12.81  																			|-The branch is then unsatisfiable
% 40.58/12.81  												|-Branch two:
% 40.58/12.81  												| (1619)  ~ (all_0_92_92 = e4)
% 40.58/12.81  												| (610) all_0_97_97 = e4
% 40.58/12.81  												|
% 40.58/12.81  													| Equations (610) can reduce 319 to:
% 40.58/12.81  													| (311) $false
% 40.58/12.81  													|
% 40.58/12.81  													|-The branch is then unsatisfiable
% 40.58/12.81  							|-Branch two:
% 40.58/12.81  							| (1622)  ~ (all_0_79_79 = e2)
% 40.58/12.81  							| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 40.58/12.81  							|
% 40.58/12.81  								+-Applying beta-rule and splitting (248), into two cases.
% 40.58/12.81  								|-Branch one:
% 40.58/12.81  								| (390) all_0_79_79 = e2
% 40.58/12.81  								|
% 40.58/12.81  									| Equations (390) can reduce 1622 to:
% 40.58/12.81  									| (311) $false
% 40.58/12.81  									|
% 40.58/12.81  									|-The branch is then unsatisfiable
% 40.58/12.81  								|-Branch two:
% 40.58/12.81  								| (1622)  ~ (all_0_79_79 = e2)
% 40.58/12.81  								| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 40.58/12.81  								|
% 40.58/12.81  									+-Applying beta-rule and splitting (52), into two cases.
% 40.58/12.81  									|-Branch one:
% 40.58/12.81  									| (453) all_0_83_83 = e2
% 40.58/12.81  									|
% 40.58/12.81  										| Equations (453) can reduce 272 to:
% 40.58/12.81  										| (1622)  ~ (all_0_79_79 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 116 to:
% 40.58/12.81  										| (347)  ~ (all_0_82_82 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 223 to:
% 40.58/12.81  										| (1631)  ~ (all_0_84_84 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Simplifying 1631 yields:
% 40.58/12.81  										| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 226 to:
% 40.58/12.81  										| (691)  ~ (all_0_85_85 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Simplifying 691 yields:
% 40.58/12.81  										| (515)  ~ (all_0_85_85 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 146 to:
% 40.58/12.81  										| (295)  ~ (all_0_91_91 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Simplifying 295 yields:
% 40.58/12.81  										| (296)  ~ (all_0_91_91 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 211 to:
% 40.58/12.81  										| (1637)  ~ (all_0_96_96 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Simplifying 1637 yields:
% 40.58/12.81  										| (1638)  ~ (all_0_96_96 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Equations (453) can reduce 155 to:
% 40.58/12.81  										| (528)  ~ (e4 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| Simplifying 528 yields:
% 40.58/12.81  										| (79)  ~ (e4 = e2)
% 40.58/12.81  										|
% 40.58/12.81  										| From (453) and (29) follows:
% 40.58/12.81  										| (1641) op(e2, e3) = all_0_9_9
% 40.58/12.81  										|
% 40.58/12.81  										| From (453) and (234) follows:
% 40.58/12.81  										| (1642) op(e2, e2) = all_0_10_10
% 40.58/12.81  										|
% 40.58/12.81  										| From (453) and (206) follows:
% 40.58/12.81  										| (1643) op(e2, e2) = all_0_54_54
% 40.58/12.81  										|
% 40.58/12.81  										| Instantiating formula (262) with e2, e3, all_0_9_9, e2 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e2, yields:
% 40.58/12.82  										| (1644) all_0_9_9 = e2
% 40.58/12.82  										|
% 40.58/12.82  										| Instantiating formula (262) with e2, e2, all_0_10_10, e4 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = e4, yields:
% 40.58/12.82  										| (1645) all_0_10_10 = e4
% 40.58/12.82  										|
% 40.58/12.82  										| Instantiating formula (262) with e2, e2, all_0_54_54, all_0_10_10 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = all_0_54_54, yields:
% 40.58/12.82  										| (1646) all_0_10_10 = all_0_54_54
% 40.58/12.82  										|
% 40.58/12.82  										| Combining equations (1645,1646) yields a new equation:
% 40.58/12.82  										| (1647) all_0_54_54 = e4
% 40.58/12.82  										|
% 40.58/12.82  										| From (1644) and (1641) follows:
% 40.58/12.82  										| (362) op(e2, e3) = e2
% 40.58/12.82  										|
% 40.58/12.82  										| From (1647) and (1643) follows:
% 40.58/12.82  										| (6) op(e2, e2) = e4
% 40.58/12.82  										|
% 40.58/12.82  										+-Applying beta-rule and splitting (219), into two cases.
% 40.58/12.82  										|-Branch one:
% 40.58/12.82  										| (798) all_0_83_83 = e0
% 40.58/12.82  										|
% 40.58/12.82  											| Combining equations (798,453) yields a new equation:
% 40.58/12.82  											| (379) e2 = e0
% 40.58/12.82  											|
% 40.58/12.82  											| Equations (379) can reduce 76 to:
% 40.58/12.82  											| (311) $false
% 40.58/12.82  											|
% 40.58/12.82  											|-The branch is then unsatisfiable
% 40.58/12.82  										|-Branch two:
% 40.58/12.82  										| (1314)  ~ (all_0_83_83 = e0)
% 40.58/12.82  										| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 40.58/12.82  										|
% 40.58/12.82  											+-Applying beta-rule and splitting (101), into two cases.
% 40.58/12.82  											|-Branch one:
% 40.58/12.82  											| (400) all_0_78_78 = e2
% 40.58/12.82  											|
% 40.58/12.82  												| Equations (400) can reduce 346 to:
% 40.58/12.82  												| (311) $false
% 40.58/12.82  												|
% 40.58/12.82  												|-The branch is then unsatisfiable
% 40.58/12.82  											|-Branch two:
% 40.58/12.82  											| (346)  ~ (all_0_78_78 = e2)
% 40.58/12.82  											| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 40.58/12.82  											|
% 40.58/12.82  												+-Applying beta-rule and splitting (70), into two cases.
% 40.58/12.82  												|-Branch one:
% 40.58/12.82  												| (400) all_0_78_78 = e2
% 40.58/12.82  												|
% 40.58/12.82  													| Equations (400) can reduce 346 to:
% 40.58/12.82  													| (311) $false
% 40.58/12.82  													|
% 40.58/12.82  													|-The branch is then unsatisfiable
% 40.58/12.82  												|-Branch two:
% 40.58/12.82  												| (346)  ~ (all_0_78_78 = e2)
% 40.58/12.82  												| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 40.58/12.82  												|
% 40.58/12.82  													+-Applying beta-rule and splitting (127), into two cases.
% 40.58/12.82  													|-Branch one:
% 40.58/12.82  													| (457) all_0_79_79 = e1
% 40.58/12.82  													|
% 40.58/12.82  														| Equations (457) can reduce 66 to:
% 40.58/12.82  														| (1601)  ~ (all_0_78_78 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 63 to:
% 40.58/12.82  														| (1665)  ~ (all_0_80_80 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Simplifying 1665 yields:
% 40.58/12.82  														| (828)  ~ (all_0_80_80 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 15 to:
% 40.58/12.82  														| (1667)  ~ (all_0_81_81 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Simplifying 1667 yields:
% 40.58/12.82  														| (628)  ~ (all_0_81_81 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 17 to:
% 40.58/12.82  														| (1669)  ~ (all_0_91_91 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Simplifying 1669 yields:
% 40.58/12.82  														| (959)  ~ (all_0_91_91 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 214 to:
% 40.58/12.82  														| (1671)  ~ (all_0_96_96 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Simplifying 1671 yields:
% 40.58/12.82  														| (1479)  ~ (all_0_96_96 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 1622 to:
% 40.58/12.82  														| (487)  ~ (e2 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Simplifying 487 yields:
% 40.58/12.82  														| (243)  ~ (e2 = e1)
% 40.58/12.82  														|
% 40.58/12.82  														| Equations (457) can reduce 9 to:
% 40.58/12.82  														| (264)  ~ (e1 = e0)
% 40.58/12.82  														|
% 40.58/12.82  														| From (457) and (178) follows:
% 40.58/12.82  														| (1676) op(e1, e4) = all_0_2_2
% 40.58/12.82  														|
% 40.58/12.82  														| From (457) and (71) follows:
% 40.58/12.82  														| (1677) op(e1, e2) = all_0_3_3
% 40.58/12.82  														|
% 40.58/12.82  														| From (457) and (267) follows:
% 40.58/12.82  														| (1678) op(e4, e2) = e1
% 40.58/12.82  														|
% 40.58/12.82  														| From (457) and (184) follows:
% 40.58/12.82  														| (1679) op(e2, e1) = all_0_52_52
% 40.58/12.82  														|
% 40.58/12.82  														| Instantiating formula (262) with e2, e1, all_0_52_52, all_0_87_87 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = all_0_87_87, yields:
% 40.58/12.82  														| (1680) all_0_52_52 = all_0_87_87
% 40.58/12.82  														|
% 40.58/12.82  														| Instantiating formula (262) with e1, e4, all_0_2_2, e2 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = e2, yields:
% 40.58/12.82  														| (1681) all_0_2_2 = e2
% 40.58/12.82  														|
% 40.58/12.82  														| Instantiating formula (262) with e1, e2, all_0_3_3, all_0_91_91 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = all_0_91_91, yields:
% 40.58/12.82  														| (1682) all_0_3_3 = all_0_91_91
% 40.58/12.82  														|
% 40.58/12.82  														| From (1680) and (1679) follows:
% 40.58/12.82  														| (14) op(e2, e1) = all_0_87_87
% 40.58/12.82  														|
% 40.58/12.82  														| From (1681) and (1676) follows:
% 40.58/12.82  														| (307) op(e1, e4) = e2
% 40.58/12.82  														|
% 40.58/12.82  														| From (1682) and (1677) follows:
% 40.58/12.82  														| (3) op(e1, e2) = all_0_91_91
% 40.58/12.82  														|
% 40.58/12.82  														+-Applying beta-rule and splitting (33), into two cases.
% 40.58/12.82  														|-Branch one:
% 40.58/12.82  														| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 40.58/12.82  														|
% 40.58/12.82  															+-Applying beta-rule and splitting (1686), into two cases.
% 40.58/12.82  															|-Branch one:
% 40.58/12.82  															| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 40.58/12.82  															|
% 40.58/12.82  																+-Applying beta-rule and splitting (1687), into two cases.
% 40.58/12.82  																|-Branch one:
% 40.58/12.82  																| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 40.58/12.82  																|
% 40.58/12.82  																	| Applying alpha-rule on (1688) yields:
% 40.58/12.82  																	| (1689) all_0_52_52 = e4
% 40.58/12.82  																	| (1690)  ~ (all_0_53_53 = e2)
% 40.58/12.82  																	|
% 40.58/12.82  																	| Combining equations (1680,1689) yields a new equation:
% 40.58/12.82  																	| (1691) all_0_87_87 = e4
% 40.58/12.82  																	|
% 40.58/12.82  																	| Simplifying 1691 yields:
% 40.58/12.82  																	| (1692) all_0_87_87 = e4
% 40.58/12.82  																	|
% 40.58/12.82  																	| Equations (1692) can reduce 216 to:
% 40.58/12.82  																	| (311) $false
% 40.58/12.82  																	|
% 40.58/12.82  																	|-The branch is then unsatisfiable
% 40.58/12.82  																|-Branch two:
% 40.58/12.82  																| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 40.58/12.82  																|
% 40.58/12.82  																	| Applying alpha-rule on (1694) yields:
% 40.58/12.82  																	| (1695) all_0_54_54 = e3
% 40.58/12.82  																	| (1696)  ~ (all_0_55_55 = e2)
% 40.58/12.82  																	|
% 40.58/12.82  																	| Combining equations (1647,1695) yields a new equation:
% 40.58/12.82  																	| (790) e4 = e3
% 40.58/12.82  																	|
% 40.58/12.82  																	| Simplifying 790 yields:
% 40.58/12.82  																	| (434) e4 = e3
% 40.58/12.82  																	|
% 40.58/12.82  																	| Equations (434) can reduce 177 to:
% 40.58/12.82  																	| (311) $false
% 40.58/12.82  																	|
% 40.58/12.82  																	|-The branch is then unsatisfiable
% 40.58/12.82  															|-Branch two:
% 40.58/12.82  															| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 40.58/12.82  															|
% 40.58/12.82  																| Applying alpha-rule on (1700) yields:
% 40.58/12.82  																| (1701) all_0_56_56 = e1
% 40.58/12.82  																| (1702)  ~ (all_0_57_57 = e2)
% 40.58/12.82  																|
% 40.58/12.82  																| From (1701) and (222) follows:
% 40.58/12.82  																| (1703) op(e2, all_0_91_91) = e1
% 40.58/12.82  																|
% 40.58/12.82  																+-Applying beta-rule and splitting (84), into two cases.
% 40.58/12.82  																|-Branch one:
% 40.58/12.82  																| (1704) all_0_96_96 = e2
% 40.58/12.82  																|
% 40.58/12.82  																	| Equations (1704) can reduce 1638 to:
% 40.58/12.82  																	| (311) $false
% 40.58/12.82  																	|
% 40.58/12.82  																	|-The branch is then unsatisfiable
% 40.58/12.82  																|-Branch two:
% 40.58/12.82  																| (1638)  ~ (all_0_96_96 = e2)
% 40.58/12.82  																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 40.58/12.82  																|
% 40.58/12.82  																	+-Applying beta-rule and splitting (285), into two cases.
% 40.58/12.82  																	|-Branch one:
% 40.58/12.82  																	| (1708) all_0_79_79 = e3
% 40.58/12.82  																	|
% 40.58/12.82  																		| Combining equations (457,1708) yields a new equation:
% 40.58/12.82  																		| (772) e3 = e1
% 40.58/12.82  																		|
% 40.58/12.82  																		| Equations (772) can reduce 20 to:
% 40.58/12.82  																		| (311) $false
% 40.58/12.82  																		|
% 40.58/12.82  																		|-The branch is then unsatisfiable
% 40.58/12.82  																	|-Branch two:
% 40.58/12.82  																	| (1711)  ~ (all_0_79_79 = e3)
% 40.58/12.82  																	| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 40.58/12.82  																	|
% 40.58/12.82  																		| Equations (457) can reduce 1711 to:
% 40.58/12.82  																		| (683)  ~ (e3 = e1)
% 40.58/12.82  																		|
% 40.58/12.82  																		| Simplifying 683 yields:
% 40.58/12.82  																		| (20)  ~ (e3 = e1)
% 40.58/12.82  																		|
% 40.58/12.82  																		+-Applying beta-rule and splitting (188), into two cases.
% 40.58/12.82  																		|-Branch one:
% 40.58/12.82  																		| (676) all_0_78_78 = e1
% 40.58/12.82  																		|
% 40.58/12.82  																			| Equations (676) can reduce 1601 to:
% 40.58/12.82  																			| (311) $false
% 40.58/12.82  																			|
% 40.58/12.82  																			|-The branch is then unsatisfiable
% 40.58/12.82  																		|-Branch two:
% 40.58/12.82  																		| (1601)  ~ (all_0_78_78 = e1)
% 40.58/12.82  																		| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 40.58/12.82  																		|
% 40.58/12.82  																			+-Applying beta-rule and splitting (24), into two cases.
% 40.58/12.82  																			|-Branch one:
% 40.58/12.82  																			| (400) all_0_78_78 = e2
% 40.58/12.82  																			|
% 40.58/12.82  																				| Equations (400) can reduce 346 to:
% 40.58/12.82  																				| (311) $false
% 40.58/12.82  																				|
% 40.58/12.82  																				|-The branch is then unsatisfiable
% 40.58/12.82  																			|-Branch two:
% 40.58/12.82  																			| (346)  ~ (all_0_78_78 = e2)
% 40.58/12.82  																			| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 40.58/12.82  																			|
% 40.58/12.82  																				+-Applying beta-rule and splitting (284), into two cases.
% 40.58/12.82  																				|-Branch one:
% 40.58/12.82  																				| (1723) all_0_91_91 = e2
% 40.58/12.82  																				|
% 40.58/12.82  																					| Equations (1723) can reduce 296 to:
% 40.58/12.82  																					| (311) $false
% 40.58/12.82  																					|
% 40.58/12.82  																					|-The branch is then unsatisfiable
% 40.58/12.82  																				|-Branch two:
% 40.58/12.82  																				| (296)  ~ (all_0_91_91 = e2)
% 40.58/12.82  																				| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 40.58/12.82  																				|
% 40.58/12.82  																					+-Applying beta-rule and splitting (56), into two cases.
% 40.58/12.82  																					|-Branch one:
% 40.58/12.82  																					| (463) all_0_78_78 = e4
% 40.58/12.82  																					|
% 40.58/12.82  																						| Equations (463) can reduce 67 to:
% 40.58/12.82  																						| (1728)  ~ (all_0_80_80 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Simplifying 1728 yields:
% 40.58/12.82  																						| (436)  ~ (all_0_80_80 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Equations (463) can reduce 278 to:
% 40.58/12.82  																						| (1730)  ~ (all_0_81_81 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Simplifying 1730 yields:
% 40.58/12.82  																						| (634)  ~ (all_0_81_81 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Equations (463) can reduce 193 to:
% 40.58/12.82  																						| (464)  ~ (all_0_82_82 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Simplifying 464 yields:
% 40.58/12.82  																						| (465)  ~ (all_0_82_82 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Equations (463) can reduce 85 to:
% 40.58/12.82  																						| (466)  ~ (all_0_90_90 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Simplifying 466 yields:
% 40.58/12.82  																						| (467)  ~ (all_0_90_90 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Equations (463) can reduce 125 to:
% 40.58/12.82  																						| (314)  ~ (all_0_95_95 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						| Simplifying 314 yields:
% 40.58/12.82  																						| (315)  ~ (all_0_95_95 = e4)
% 40.58/12.82  																						|
% 40.58/12.82  																						+-Applying beta-rule and splitting (109), into two cases.
% 40.58/12.82  																						|-Branch one:
% 40.58/12.82  																						| (469) all_0_82_82 = e4
% 40.58/12.82  																						|
% 40.58/12.82  																							| Equations (469) can reduce 465 to:
% 40.58/12.82  																							| (311) $false
% 40.58/12.82  																							|
% 40.58/12.82  																							|-The branch is then unsatisfiable
% 40.58/12.82  																						|-Branch two:
% 40.58/12.82  																						| (465)  ~ (all_0_82_82 = e4)
% 40.58/12.82  																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 40.58/12.82  																						|
% 40.58/12.82  																							+-Applying beta-rule and splitting (123), into two cases.
% 40.58/12.82  																							|-Branch one:
% 40.58/12.82  																							| (473) all_0_81_81 = e2
% 40.58/12.82  																							|
% 40.58/12.82  																								| Equations (473) can reduce 266 to:
% 40.58/12.82  																								| (350)  ~ (all_0_88_88 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Simplifying 350 yields:
% 40.58/12.83  																								| (351)  ~ (all_0_88_88 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Equations (473) can reduce 5 to:
% 40.58/12.83  																								| (1348)  ~ (all_0_98_98 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Simplifying 1348 yields:
% 40.58/12.83  																								| (1349)  ~ (all_0_98_98 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Equations (473) can reduce 634 to:
% 40.58/12.83  																								| (528)  ~ (e4 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Simplifying 528 yields:
% 40.58/12.83  																								| (79)  ~ (e4 = e2)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Equations (473) can reduce 628 to:
% 40.58/12.83  																								| (243)  ~ (e2 = e1)
% 40.58/12.83  																								|
% 40.58/12.83  																								| Equations (473) can reduce 257 to:
% 40.58/12.83  																								| (76)  ~ (e2 = e0)
% 40.58/12.83  																								|
% 40.58/12.83  																								| From (473) and (145) follows:
% 40.58/12.83  																								| (1751) op(e0, e2) = all_0_69_69
% 40.58/12.83  																								|
% 40.58/12.83  																								+-Applying beta-rule and splitting (106), into two cases.
% 40.58/12.83  																								|-Branch one:
% 40.58/12.83  																								| (771) all_0_78_78 = e3
% 40.58/12.83  																								|
% 40.58/12.83  																									| Combining equations (771,463) yields a new equation:
% 40.58/12.83  																									| (434) e4 = e3
% 40.58/12.83  																									|
% 40.58/12.83  																									| Equations (434) can reduce 177 to:
% 40.58/12.83  																									| (311) $false
% 40.58/12.83  																									|
% 40.58/12.83  																									|-The branch is then unsatisfiable
% 40.58/12.83  																								|-Branch two:
% 40.58/12.83  																								| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.83  																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 40.58/12.83  																								|
% 40.58/12.83  																									+-Applying beta-rule and splitting (97), into two cases.
% 40.58/12.83  																									|-Branch one:
% 40.58/12.83  																									| (1757) all_0_94_94 = e2
% 40.58/12.83  																									|
% 40.58/12.83  																										| Combining equations (313,1757) yields a new equation:
% 40.58/12.83  																										| (309) e4 = e2
% 40.58/12.83  																										|
% 40.58/12.83  																										| Simplifying 309 yields:
% 40.58/12.83  																										| (310) e4 = e2
% 40.58/12.83  																										|
% 40.58/12.83  																										| Equations (310) can reduce 79 to:
% 40.58/12.83  																										| (311) $false
% 40.58/12.83  																										|
% 40.58/12.83  																										|-The branch is then unsatisfiable
% 40.58/12.83  																									|-Branch two:
% 40.58/12.83  																									| (1761)  ~ (all_0_94_94 = e2)
% 40.58/12.83  																									| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 40.58/12.83  																									|
% 40.58/12.83  																										+-Applying beta-rule and splitting (1756), into two cases.
% 40.58/12.83  																										|-Branch one:
% 40.58/12.83  																										| (1708) all_0_79_79 = e3
% 40.58/12.83  																										|
% 40.58/12.83  																											| Combining equations (1708,457) yields a new equation:
% 40.58/12.83  																											| (825) e3 = e1
% 40.58/12.83  																											|
% 40.58/12.83  																											| Simplifying 825 yields:
% 40.58/12.83  																											| (772) e3 = e1
% 40.58/12.83  																											|
% 40.58/12.83  																											| Equations (772) can reduce 20 to:
% 40.58/12.83  																											| (311) $false
% 40.58/12.83  																											|
% 40.58/12.83  																											|-The branch is then unsatisfiable
% 40.58/12.83  																										|-Branch two:
% 40.58/12.83  																										| (1711)  ~ (all_0_79_79 = e3)
% 40.58/12.83  																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 40.58/12.83  																										|
% 40.58/12.83  																											+-Applying beta-rule and splitting (1762), into two cases.
% 40.58/12.83  																											|-Branch one:
% 40.58/12.83  																											| (767) all_0_95_95 = e2
% 40.58/12.83  																											|
% 40.58/12.83  																												| Equations (767) can reduce 355 to:
% 40.58/12.83  																												| (311) $false
% 40.58/12.83  																												|
% 40.58/12.83  																												|-The branch is then unsatisfiable
% 40.58/12.83  																											|-Branch two:
% 40.58/12.83  																											| (355)  ~ (all_0_95_95 = e2)
% 40.58/12.83  																											| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 40.58/12.83  																											|
% 40.58/12.83  																												+-Applying beta-rule and splitting (1768), into two cases.
% 40.58/12.83  																												|-Branch one:
% 40.58/12.83  																												| (416) all_0_80_80 = e3
% 40.58/12.83  																												|
% 40.58/12.83  																													| Equations (416) can reduce 273 to:
% 40.58/12.83  																													| (421)  ~ (all_0_84_84 = e3)
% 40.58/12.83  																													|
% 40.58/12.83  																													| Simplifying 421 yields:
% 40.58/12.83  																													| (422)  ~ (all_0_84_84 = e3)
% 40.58/12.83  																													|
% 40.58/12.83  																													| Equations (416) can reduce 436 to:
% 40.58/12.83  																													| (783)  ~ (e4 = e3)
% 40.58/12.83  																													|
% 40.58/12.83  																													| Simplifying 783 yields:
% 40.58/12.83  																													| (177)  ~ (e4 = e3)
% 40.58/12.83  																													|
% 40.58/12.83  																													| Equations (416) can reduce 828 to:
% 40.58/12.83  																													| (20)  ~ (e3 = e1)
% 40.58/12.83  																													|
% 40.58/12.83  																													| Equations (416) can reduce 166 to:
% 40.58/12.83  																													| (50)  ~ (e3 = e0)
% 40.58/12.83  																													|
% 40.58/12.83  																													+-Applying beta-rule and splitting (1772), into two cases.
% 40.58/12.83  																													|-Branch one:
% 40.58/12.83  																													| (1704) all_0_96_96 = e2
% 40.58/12.83  																													|
% 40.58/12.83  																														| Equations (1704) can reduce 1638 to:
% 40.58/12.83  																														| (311) $false
% 40.58/12.83  																														|
% 40.58/12.83  																														|-The branch is then unsatisfiable
% 40.58/12.83  																													|-Branch two:
% 40.58/12.83  																													| (1638)  ~ (all_0_96_96 = e2)
% 40.58/12.83  																													| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 40.58/12.83  																													|
% 40.58/12.83  																														+-Applying beta-rule and splitting (1783), into two cases.
% 40.58/12.83  																														|-Branch one:
% 40.58/12.83  																														| (538) all_0_97_97 = e2
% 40.58/12.83  																														|
% 40.58/12.83  																															| Equations (538) can reduce 195 to:
% 40.58/12.83  																															| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.83  																															|
% 40.58/12.83  																															| Equations (538) can reduce 221 to:
% 40.58/12.83  																															| (349)  ~ (all_0_87_87 = e2)
% 40.58/12.83  																															|
% 40.58/12.83  																															| Equations (538) can reduce 105 to:
% 40.58/12.83  																															| (355)  ~ (all_0_95_95 = e2)
% 40.58/12.83  																															|
% 40.58/12.83  																															| Equations (538) can reduce 148 to:
% 40.58/12.83  																															| (1348)  ~ (all_0_98_98 = e2)
% 40.58/12.83  																															|
% 40.58/12.83  																															| Simplifying 1348 yields:
% 40.58/12.83  																															| (1349)  ~ (all_0_98_98 = e2)
% 40.58/12.83  																															|
% 40.58/12.83  																															| From (538) and (69) follows:
% 40.58/12.83  																															| (1352) op(e0, e2) = all_0_68_68
% 40.58/12.83  																															|
% 40.58/12.83  																															| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 40.58/12.83  																															| (1368) all_0_68_68 = all_0_96_96
% 40.58/12.83  																															|
% 40.58/12.83  																															| Instantiating formula (262) with e0, e2, all_0_69_69, all_0_68_68 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_69_69, yields:
% 40.58/12.83  																															| (1792) all_0_68_68 = all_0_69_69
% 40.58/12.83  																															|
% 40.58/12.83  																															| Combining equations (1792,1368) yields a new equation:
% 40.58/12.83  																															| (1793) all_0_69_69 = all_0_96_96
% 40.58/12.83  																															|
% 40.58/12.83  																															| Simplifying 1793 yields:
% 40.58/12.83  																															| (1794) all_0_69_69 = all_0_96_96
% 40.58/12.83  																															|
% 40.58/12.83  																															+-Applying beta-rule and splitting (92), into two cases.
% 40.58/12.83  																															|-Branch one:
% 40.58/12.83  																															| (552) all_0_84_84 = e2
% 40.58/12.83  																															|
% 40.58/12.83  																																| Equations (552) can reduce 612 to:
% 40.58/12.83  																																| (311) $false
% 40.58/12.83  																																|
% 40.58/12.83  																																|-The branch is then unsatisfiable
% 40.58/12.83  																															|-Branch two:
% 40.58/12.83  																															| (612)  ~ (all_0_84_84 = e2)
% 40.58/12.83  																															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 40.58/12.83  																															|
% 40.58/12.83  																																+-Applying beta-rule and splitting (176), into two cases.
% 40.58/12.83  																																|-Branch one:
% 40.58/12.83  																																| (785) all_0_95_95 = e1
% 40.58/12.83  																																|
% 40.58/12.83  																																	| Equations (785) can reduce 200 to:
% 40.58/12.83  																																	| (198)  ~ (all_0_82_82 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Equations (785) can reduce 279 to:
% 40.58/12.83  																																	| (1671)  ~ (all_0_96_96 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Simplifying 1671 yields:
% 40.58/12.83  																																	| (1479)  ~ (all_0_96_96 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Equations (785) can reduce 107 to:
% 40.58/12.83  																																	| (1803)  ~ (all_0_98_98 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Simplifying 1803 yields:
% 40.58/12.83  																																	| (1804)  ~ (all_0_98_98 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Equations (785) can reduce 355 to:
% 40.58/12.83  																																	| (487)  ~ (e2 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| Simplifying 487 yields:
% 40.58/12.83  																																	| (243)  ~ (e2 = e1)
% 40.58/12.83  																																	|
% 40.58/12.83  																																	| From (785) and (275) follows:
% 40.58/12.83  																																	| (1511) op(e0, e3) = e1
% 40.58/12.83  																																	|
% 40.58/12.83  																																	+-Applying beta-rule and splitting (220), into two cases.
% 40.58/12.83  																																	|-Branch one:
% 40.58/12.83  																																	| (771) all_0_78_78 = e3
% 40.58/12.83  																																	|
% 40.58/12.83  																																		| Combining equations (463,771) yields a new equation:
% 40.58/12.83  																																		| (790) e4 = e3
% 40.58/12.83  																																		|
% 40.58/12.83  																																		| Simplifying 790 yields:
% 40.58/12.83  																																		| (434) e4 = e3
% 40.58/12.83  																																		|
% 40.58/12.83  																																		| Equations (434) can reduce 177 to:
% 40.58/12.83  																																		| (311) $false
% 40.58/12.83  																																		|
% 40.58/12.83  																																		|-The branch is then unsatisfiable
% 40.58/12.83  																																	|-Branch two:
% 40.58/12.83  																																	| (418)  ~ (all_0_78_78 = e3)
% 40.58/12.83  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 41.04/12.83  																																	|
% 41.04/12.83  																																		+-Applying beta-rule and splitting (171), into two cases.
% 41.04/12.83  																																		|-Branch one:
% 41.04/12.83  																																		| (789) all_0_82_82 = e3
% 41.04/12.83  																																		|
% 41.04/12.83  																																			| Equations (789) can reduce 255 to:
% 41.04/12.83  																																			| (1815)  ~ (all_0_90_90 = e3)
% 41.04/12.83  																																			|
% 41.04/12.83  																																			| Simplifying 1815 yields:
% 41.04/12.83  																																			| (745)  ~ (all_0_90_90 = e3)
% 41.04/12.83  																																			|
% 41.04/12.83  																																			| Equations (789) can reduce 347 to:
% 41.04/12.83  																																			| (169)  ~ (e3 = e2)
% 41.04/12.83  																																			|
% 41.04/12.83  																																			+-Applying beta-rule and splitting (254), into two cases.
% 41.04/12.83  																																			|-Branch one:
% 41.04/12.83  																																			| (910) all_0_82_82 = e0
% 41.04/12.83  																																			|
% 41.04/12.83  																																				| Combining equations (910,789) yields a new equation:
% 41.04/12.83  																																				| (600) e3 = e0
% 41.04/12.83  																																				|
% 41.04/12.83  																																				| Equations (600) can reduce 50 to:
% 41.04/12.83  																																				| (311) $false
% 41.04/12.83  																																				|
% 41.04/12.83  																																				|-The branch is then unsatisfiable
% 41.04/12.83  																																			|-Branch two:
% 41.04/12.83  																																			| (914)  ~ (all_0_82_82 = e0)
% 41.04/12.83  																																			| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.83  																																			|
% 41.04/12.83  																																				+-Applying beta-rule and splitting (915), into two cases.
% 41.04/12.83  																																				|-Branch one:
% 41.04/12.83  																																				| (378) all_0_86_86 = e0
% 41.04/12.83  																																				|
% 41.04/12.83  																																					| Combining equations (345,378) yields a new equation:
% 41.04/12.83  																																					| (923) e2 = e0
% 41.04/12.83  																																					|
% 41.04/12.83  																																					| Simplifying 923 yields:
% 41.04/12.83  																																					| (379) e2 = e0
% 41.04/12.83  																																					|
% 41.04/12.83  																																					| Equations (379) can reduce 76 to:
% 41.04/12.83  																																					| (311) $false
% 41.04/12.83  																																					|
% 41.04/12.83  																																					|-The branch is then unsatisfiable
% 41.04/12.83  																																				|-Branch two:
% 41.04/12.83  																																				| (381)  ~ (all_0_86_86 = e0)
% 41.04/12.83  																																				| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.83  																																				|
% 41.04/12.83  																																					+-Applying beta-rule and splitting (927), into two cases.
% 41.04/12.83  																																					|-Branch one:
% 41.04/12.83  																																					| (758) all_0_90_90 = e0
% 41.04/12.83  																																					|
% 41.04/12.83  																																						| Equations (758) can reduce 103 to:
% 41.04/12.83  																																						| (1830)  ~ (all_0_91_91 = e0)
% 41.04/12.83  																																						|
% 41.04/12.83  																																						| Simplifying 1830 yields:
% 41.04/12.83  																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.83  																																						|
% 41.04/12.83  																																						| Equations (758) can reduce 745 to:
% 41.04/12.83  																																						| (906)  ~ (e3 = e0)
% 41.04/12.83  																																						|
% 41.04/12.83  																																						| Simplifying 906 yields:
% 41.04/12.83  																																						| (50)  ~ (e3 = e0)
% 41.04/12.83  																																						|
% 41.04/12.83  																																						+-Applying beta-rule and splitting (1400), into two cases.
% 41.04/12.83  																																						|-Branch one:
% 41.04/12.83  																																						| (1456) all_0_91_91 = e0
% 41.04/12.83  																																						|
% 41.04/12.83  																																							| Equations (1456) can reduce 1487 to:
% 41.04/12.83  																																							| (311) $false
% 41.04/12.83  																																							|
% 41.04/12.83  																																							|-The branch is then unsatisfiable
% 41.04/12.83  																																						|-Branch two:
% 41.04/12.83  																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.83  																																						| (1837) all_0_96_96 = e0
% 41.04/12.83  																																						|
% 41.04/12.83  																																							+-Applying beta-rule and splitting (1712), into two cases.
% 41.04/12.83  																																							|-Branch one:
% 41.04/12.83  																																							| (795) all_0_83_83 = e3
% 41.04/12.83  																																							|
% 41.04/12.83  																																								| Combining equations (453,795) yields a new equation:
% 41.04/12.83  																																								| (548) e3 = e2
% 41.04/12.83  																																								|
% 41.04/12.83  																																								| Equations (548) can reduce 169 to:
% 41.04/12.83  																																								| (311) $false
% 41.04/12.83  																																								|
% 41.04/12.83  																																								|-The branch is then unsatisfiable
% 41.04/12.83  																																							|-Branch two:
% 41.04/12.83  																																							| (779)  ~ (all_0_83_83 = e3)
% 41.04/12.83  																																							| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 41.04/12.83  																																							|
% 41.04/12.83  																																								+-Applying beta-rule and splitting (1842), into two cases.
% 41.04/12.83  																																								|-Branch one:
% 41.04/12.83  																																								| (588) all_0_91_91 = e3
% 41.04/12.83  																																								|
% 41.04/12.83  																																									| From (588) and (1703) follows:
% 41.04/12.83  																																									| (1844) op(e2, e3) = e1
% 41.04/12.83  																																									|
% 41.04/12.83  																																									| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.04/12.83  																																									| (385) e2 = e1
% 41.04/12.83  																																									|
% 41.04/12.83  																																									| Equations (385) can reduce 243 to:
% 41.04/12.83  																																									| (311) $false
% 41.04/12.83  																																									|
% 41.04/12.83  																																									|-The branch is then unsatisfiable
% 41.04/12.83  																																								|-Branch two:
% 41.04/12.83  																																								| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.83  																																								| (778) all_0_96_96 = e3
% 41.04/12.83  																																								|
% 41.04/12.83  																																									| Combining equations (1837,778) yields a new equation:
% 41.04/12.83  																																									| (600) e3 = e0
% 41.04/12.83  																																									|
% 41.04/12.83  																																									| Equations (600) can reduce 50 to:
% 41.04/12.83  																																									| (311) $false
% 41.04/12.83  																																									|
% 41.04/12.83  																																									|-The branch is then unsatisfiable
% 41.04/12.83  																																					|-Branch two:
% 41.04/12.83  																																					| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.83  																																					| (858) all_0_95_95 = e0
% 41.04/12.83  																																					|
% 41.04/12.83  																																						| Combining equations (785,858) yields a new equation:
% 41.04/12.83  																																						| (1107) e1 = e0
% 41.04/12.83  																																						|
% 41.04/12.83  																																						| Simplifying 1107 yields:
% 41.04/12.83  																																						| (865) e1 = e0
% 41.04/12.83  																																						|
% 41.04/12.83  																																						| Equations (865) can reduce 264 to:
% 41.04/12.83  																																						| (311) $false
% 41.04/12.83  																																						|
% 41.04/12.83  																																						|-The branch is then unsatisfiable
% 41.04/12.83  																																		|-Branch two:
% 41.04/12.83  																																		| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.84  																																		| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.84  																																		|
% 41.04/12.84  																																			+-Applying beta-rule and splitting (775), into two cases.
% 41.04/12.84  																																			|-Branch one:
% 41.04/12.84  																																			| (789) all_0_82_82 = e3
% 41.04/12.84  																																			|
% 41.04/12.84  																																				| Equations (789) can reduce 793 to:
% 41.04/12.84  																																				| (311) $false
% 41.04/12.84  																																				|
% 41.04/12.84  																																				|-The branch is then unsatisfiable
% 41.04/12.84  																																			|-Branch two:
% 41.04/12.84  																																			| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.84  																																			| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 41.04/12.84  																																			|
% 41.04/12.84  																																				+-Applying beta-rule and splitting (794), into two cases.
% 41.04/12.84  																																				|-Branch one:
% 41.04/12.84  																																				| (754) all_0_90_90 = e3
% 41.04/12.84  																																				|
% 41.04/12.84  																																					| Equations (754) can reduce 103 to:
% 41.04/12.84  																																					| (1298)  ~ (all_0_91_91 = e3)
% 41.04/12.84  																																					|
% 41.04/12.84  																																					| Simplifying 1298 yields:
% 41.04/12.84  																																					| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.84  																																					|
% 41.04/12.84  																																					| Equations (754) can reduce 72 to:
% 41.04/12.84  																																					| (425)  ~ (all_0_92_92 = e3)
% 41.04/12.84  																																					|
% 41.04/12.84  																																					| Simplifying 425 yields:
% 41.04/12.84  																																					| (426)  ~ (all_0_92_92 = e3)
% 41.04/12.84  																																					|
% 41.04/12.84  																																					| Equations (754) can reduce 294 to:
% 41.04/12.84  																																					| (169)  ~ (e3 = e2)
% 41.04/12.84  																																					|
% 41.04/12.84  																																					+-Applying beta-rule and splitting (1296), into two cases.
% 41.04/12.84  																																					|-Branch one:
% 41.04/12.84  																																					| (795) all_0_83_83 = e3
% 41.04/12.84  																																					|
% 41.04/12.84  																																						| Combining equations (795,453) yields a new equation:
% 41.04/12.84  																																						| (547) e3 = e2
% 41.04/12.84  																																						|
% 41.04/12.84  																																						| Simplifying 547 yields:
% 41.04/12.84  																																						| (548) e3 = e2
% 41.04/12.84  																																						|
% 41.04/12.84  																																						| Equations (548) can reduce 169 to:
% 41.04/12.84  																																						| (311) $false
% 41.04/12.84  																																						|
% 41.04/12.84  																																						|-The branch is then unsatisfiable
% 41.04/12.84  																																					|-Branch two:
% 41.04/12.84  																																					| (779)  ~ (all_0_83_83 = e3)
% 41.04/12.84  																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.84  																																					|
% 41.04/12.84  																																						+-Applying beta-rule and splitting (254), into two cases.
% 41.04/12.84  																																						|-Branch one:
% 41.04/12.84  																																						| (910) all_0_82_82 = e0
% 41.04/12.84  																																						|
% 41.04/12.84  																																							| Equations (910) can reduce 198 to:
% 41.04/12.84  																																							| (859)  ~ (e1 = e0)
% 41.04/12.84  																																							|
% 41.04/12.84  																																							| Simplifying 859 yields:
% 41.04/12.84  																																							| (264)  ~ (e1 = e0)
% 41.04/12.84  																																							|
% 41.04/12.84  																																							+-Applying beta-rule and splitting (1726), into two cases.
% 41.04/12.84  																																							|-Branch one:
% 41.04/12.84  																																							| (801) all_0_91_91 = e1
% 41.04/12.84  																																							|
% 41.04/12.84  																																								| Equations (801) can reduce 959 to:
% 41.04/12.84  																																								| (311) $false
% 41.04/12.84  																																								|
% 41.04/12.84  																																								|-The branch is then unsatisfiable
% 41.04/12.84  																																							|-Branch two:
% 41.04/12.84  																																							| (959)  ~ (all_0_91_91 = e1)
% 41.04/12.84  																																							| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.04/12.84  																																							|
% 41.04/12.84  																																								+-Applying beta-rule and splitting (1594), into two cases.
% 41.04/12.84  																																								|-Branch one:
% 41.04/12.84  																																								| (1265) all_0_84_84 = e3
% 41.04/12.84  																																								|
% 41.04/12.84  																																									| Equations (1265) can reduce 422 to:
% 41.04/12.84  																																									| (311) $false
% 41.04/12.84  																																									|
% 41.04/12.84  																																									|-The branch is then unsatisfiable
% 41.04/12.84  																																								|-Branch two:
% 41.04/12.84  																																								| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.84  																																								| (804) all_0_85_85 = e3
% 41.04/12.84  																																								|
% 41.04/12.84  																																									| Equations (804) can reduce 154 to:
% 41.04/12.84  																																									| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| Equations (804) can reduce 78 to:
% 41.04/12.84  																																									| (805)  ~ (all_0_88_88 = e3)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| Simplifying 805 yields:
% 41.04/12.84  																																									| (191)  ~ (all_0_88_88 = e3)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| Equations (804) can reduce 201 to:
% 41.04/12.84  																																									| (807)  ~ (all_0_93_93 = e3)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| Simplifying 807 yields:
% 41.04/12.84  																																									| (602)  ~ (all_0_93_93 = e3)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| Equations (804) can reduce 128 to:
% 41.04/12.84  																																									| (20)  ~ (e3 = e1)
% 41.04/12.84  																																									|
% 41.04/12.84  																																									| From (804) and (26) follows:
% 41.04/12.84  																																									| (1891) op(e0, e3) = all_0_71_71
% 41.04/12.84  																																									|
% 41.04/12.84  																																									+-Applying beta-rule and splitting (617), into two cases.
% 41.04/12.84  																																									|-Branch one:
% 41.04/12.84  																																									| (1265) all_0_84_84 = e3
% 41.04/12.84  																																									|
% 41.04/12.84  																																										| Equations (1265) can reduce 422 to:
% 41.04/12.84  																																										| (311) $false
% 41.04/12.84  																																										|
% 41.04/12.84  																																										|-The branch is then unsatisfiable
% 41.04/12.84  																																									|-Branch two:
% 41.04/12.84  																																									| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.84  																																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 41.04/12.84  																																									|
% 41.04/12.84  																																										+-Applying beta-rule and splitting (270), into two cases.
% 41.04/12.84  																																										|-Branch one:
% 41.04/12.84  																																										| (744) all_0_95_95 = e3
% 41.04/12.84  																																										|
% 41.04/12.84  																																											| Combining equations (785,744) yields a new equation:
% 41.04/12.84  																																											| (772) e3 = e1
% 41.04/12.84  																																											|
% 41.04/12.84  																																											| Equations (772) can reduce 20 to:
% 41.04/12.84  																																											| (311) $false
% 41.04/12.84  																																											|
% 41.04/12.84  																																											|-The branch is then unsatisfiable
% 41.04/12.84  																																										|-Branch two:
% 41.04/12.84  																																										| (765)  ~ (all_0_95_95 = e3)
% 41.04/12.84  																																										| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.04/12.84  																																										|
% 41.04/12.84  																																											+-Applying beta-rule and splitting (766), into two cases.
% 41.04/12.84  																																											|-Branch one:
% 41.04/12.84  																																											| (778) all_0_96_96 = e3
% 41.04/12.84  																																											|
% 41.04/12.84  																																												| Combining equations (778,1794) yields a new equation:
% 41.04/12.84  																																												| (1902) all_0_69_69 = e3
% 41.04/12.84  																																												|
% 41.04/12.84  																																												| Equations (778) can reduce 115 to:
% 41.04/12.84  																																												| (783)  ~ (e4 = e3)
% 41.04/12.84  																																												|
% 41.04/12.84  																																												| Simplifying 783 yields:
% 41.04/12.84  																																												| (177)  ~ (e4 = e3)
% 41.04/12.84  																																												|
% 41.04/12.84  																																												+-Applying beta-rule and splitting (472), into two cases.
% 41.04/12.84  																																												|-Branch one:
% 41.04/12.84  																																												| (438) all_0_84_84 = e4
% 41.04/12.84  																																												|
% 41.04/12.84  																																													| Equations (438) can reduce 87 to:
% 41.04/12.84  																																													| (1906)  ~ (all_0_92_92 = e4)
% 41.04/12.84  																																													|
% 41.04/12.84  																																													| Simplifying 1906 yields:
% 41.04/12.84  																																													| (1619)  ~ (all_0_92_92 = e4)
% 41.04/12.84  																																													|
% 41.04/12.84  																																													| Equations (438) can reduce 422 to:
% 41.04/12.84  																																													| (177)  ~ (e4 = e3)
% 41.04/12.84  																																													|
% 41.04/12.84  																																													| Equations (438) can reduce 612 to:
% 41.04/12.84  																																													| (79)  ~ (e4 = e2)
% 41.04/12.84  																																													|
% 41.04/12.84  																																													| Equations (438) can reduce 259 to:
% 41.04/12.84  																																													| (256)  ~ (e4 = e1)
% 41.04/12.84  																																													|
% 41.04/12.84  																																													+-Applying beta-rule and splitting (46), into two cases.
% 41.04/12.84  																																													|-Branch one:
% 41.04/12.84  																																													| (308) all_0_89_89 = e4
% 41.04/12.84  																																													|
% 41.04/12.84  																																														| Combining equations (292,308) yields a new equation:
% 41.04/12.84  																																														| (310) e4 = e2
% 41.04/12.84  																																														|
% 41.04/12.84  																																														| Equations (310) can reduce 79 to:
% 41.04/12.84  																																														| (311) $false
% 41.04/12.84  																																														|
% 41.04/12.84  																																														|-The branch is then unsatisfiable
% 41.04/12.84  																																													|-Branch two:
% 41.04/12.84  																																													| (312)  ~ (all_0_89_89 = e4)
% 41.04/12.84  																																													| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 41.04/12.84  																																													|
% 41.04/12.84  																																														+-Applying beta-rule and splitting (102), into two cases.
% 41.04/12.84  																																														|-Branch one:
% 41.04/12.84  																																														| (858) all_0_95_95 = e0
% 41.04/12.84  																																														|
% 41.04/12.84  																																															| Combining equations (785,858) yields a new equation:
% 41.04/12.84  																																															| (1107) e1 = e0
% 41.04/12.84  																																															|
% 41.04/12.84  																																															| Simplifying 1107 yields:
% 41.04/12.84  																																															| (865) e1 = e0
% 41.04/12.84  																																															|
% 41.04/12.84  																																															| Equations (865) can reduce 264 to:
% 41.04/12.84  																																															| (311) $false
% 41.04/12.84  																																															|
% 41.04/12.84  																																															|-The branch is then unsatisfiable
% 41.04/12.84  																																														|-Branch two:
% 41.04/12.84  																																														| (893)  ~ (all_0_95_95 = e0)
% 41.04/12.84  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.04/12.84  																																														|
% 41.04/12.84  																																															| Equations (785) can reduce 893 to:
% 41.04/12.84  																																															| (264)  ~ (e1 = e0)
% 41.04/12.84  																																															|
% 41.04/12.84  																																															+-Applying beta-rule and splitting (1915), into two cases.
% 41.04/12.84  																																															|-Branch one:
% 41.04/12.84  																																															| (583) all_0_90_90 = e4
% 41.04/12.84  																																															|
% 41.04/12.84  																																																| Combining equations (583,754) yields a new equation:
% 41.04/12.84  																																																| (790) e4 = e3
% 41.04/12.84  																																																|
% 41.04/12.84  																																																| Simplifying 790 yields:
% 41.04/12.84  																																																| (434) e4 = e3
% 41.04/12.84  																																																|
% 41.04/12.84  																																																| Equations (434) can reduce 177 to:
% 41.04/12.84  																																																| (311) $false
% 41.04/12.84  																																																|
% 41.04/12.84  																																																|-The branch is then unsatisfiable
% 41.04/12.84  																																															|-Branch two:
% 41.04/12.84  																																															| (467)  ~ (all_0_90_90 = e4)
% 41.04/12.84  																																															| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 41.04/12.84  																																															|
% 41.04/12.84  																																																+-Applying beta-rule and splitting (1928), into two cases.
% 41.04/12.84  																																																|-Branch one:
% 41.04/12.84  																																																| (442) all_0_92_92 = e4
% 41.04/12.84  																																																|
% 41.04/12.84  																																																	| Equations (442) can reduce 1619 to:
% 41.04/12.84  																																																	| (311) $false
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																	|-The branch is then unsatisfiable
% 41.04/12.84  																																																|-Branch two:
% 41.04/12.84  																																																| (1619)  ~ (all_0_92_92 = e4)
% 41.04/12.84  																																																| (607) all_0_93_93 = e4
% 41.04/12.84  																																																|
% 41.04/12.84  																																																	| Equations (607) can reduce 283 to:
% 41.04/12.84  																																																	| (1619)  ~ (all_0_92_92 = e4)
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																	| Equations (607) can reduce 602 to:
% 41.04/12.84  																																																	| (177)  ~ (e4 = e3)
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																	| From (607) and (173) follows:
% 41.04/12.84  																																																	| (1935) op(e0, e4) = all_0_75_75
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																	+-Applying beta-rule and splitting (108), into two cases.
% 41.04/12.84  																																																	|-Branch one:
% 41.04/12.84  																																																	| (477) all_0_81_81 = e1
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																		| Combining equations (477,473) yields a new equation:
% 41.04/12.84  																																																		| (385) e2 = e1
% 41.04/12.84  																																																		|
% 41.04/12.84  																																																		| Equations (385) can reduce 243 to:
% 41.04/12.84  																																																		| (311) $false
% 41.04/12.84  																																																		|
% 41.04/12.84  																																																		|-The branch is then unsatisfiable
% 41.04/12.84  																																																	|-Branch two:
% 41.04/12.84  																																																	| (628)  ~ (all_0_81_81 = e1)
% 41.04/12.84  																																																	| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 41.04/12.84  																																																	|
% 41.04/12.84  																																																		+-Applying beta-rule and splitting (817), into two cases.
% 41.04/12.84  																																																		|-Branch one:
% 41.04/12.84  																																																		| (504) all_0_88_88 = e1
% 41.04/12.84  																																																		|
% 41.04/12.84  																																																			| Equations (504) can reduce 181 to:
% 41.04/12.84  																																																			| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			| Equations (504) can reduce 191 to:
% 41.04/12.84  																																																			| (683)  ~ (e3 = e1)
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			| Simplifying 683 yields:
% 41.04/12.84  																																																			| (20)  ~ (e3 = e1)
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			| Equations (504) can reduce 351 to:
% 41.04/12.84  																																																			| (487)  ~ (e2 = e1)
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			| Simplifying 487 yields:
% 41.04/12.84  																																																			| (243)  ~ (e2 = e1)
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			| From (504) and (161) follows:
% 41.04/12.84  																																																			| (1947) op(e2, e1) = all_0_74_74
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																			+-Applying beta-rule and splitting (151), into two cases.
% 41.04/12.84  																																																			|-Branch one:
% 41.04/12.84  																																																			| (824) all_0_80_80 = e1
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																				| Combining equations (416,824) yields a new equation:
% 41.04/12.84  																																																				| (825) e3 = e1
% 41.04/12.84  																																																				|
% 41.04/12.84  																																																				| Simplifying 825 yields:
% 41.04/12.84  																																																				| (772) e3 = e1
% 41.04/12.84  																																																				|
% 41.04/12.84  																																																				| Equations (772) can reduce 20 to:
% 41.04/12.84  																																																				| (311) $false
% 41.04/12.84  																																																				|
% 41.04/12.84  																																																				|-The branch is then unsatisfiable
% 41.04/12.84  																																																			|-Branch two:
% 41.04/12.84  																																																			| (828)  ~ (all_0_80_80 = e1)
% 41.04/12.84  																																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.04/12.84  																																																			|
% 41.04/12.84  																																																				+-Applying beta-rule and splitting (829), into two cases.
% 41.04/12.84  																																																				|-Branch one:
% 41.04/12.84  																																																				| (482) all_0_87_87 = e1
% 41.04/12.84  																																																				|
% 41.04/12.84  																																																					| Equations (482) can reduce 625 to:
% 41.04/12.84  																																																					| (311) $false
% 41.04/12.84  																																																					|
% 41.04/12.84  																																																					|-The branch is then unsatisfiable
% 41.04/12.84  																																																				|-Branch two:
% 41.04/12.84  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.84  																																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.04/12.84  																																																				|
% 41.04/12.84  																																																					+-Applying beta-rule and splitting (382), into two cases.
% 41.04/12.84  																																																					|-Branch one:
% 41.04/12.84  																																																					| (861) all_0_87_87 = e0
% 41.04/12.84  																																																					|
% 41.04/12.84  																																																						| From (861) and (14) follows:
% 41.04/12.84  																																																						| (1959) op(e2, e1) = e0
% 41.04/12.84  																																																						|
% 41.04/12.84  																																																						+-Applying beta-rule and splitting (835), into two cases.
% 41.04/12.84  																																																						|-Branch one:
% 41.04/12.84  																																																						| (836) all_0_92_92 = e1
% 41.04/12.84  																																																						|
% 41.04/12.84  																																																							| Equations (836) can reduce 1619 to:
% 41.04/12.84  																																																							| (681)  ~ (e4 = e1)
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Simplifying 681 yields:
% 41.04/12.84  																																																							| (256)  ~ (e4 = e1)
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Equations (836) can reduce 426 to:
% 41.04/12.84  																																																							| (683)  ~ (e3 = e1)
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Simplifying 683 yields:
% 41.04/12.84  																																																							| (20)  ~ (e3 = e1)
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Instantiating formula (262) with e2, e1, e0, all_0_74_74 and discharging atoms op(e2, e1) = all_0_74_74, op(e2, e1) = e0, yields:
% 41.04/12.84  																																																							| (1965) all_0_74_74 = e0
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 41.04/12.84  																																																							| (1966) all_0_75_75 = e4
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							| Instantiating formula (262) with e0, e3, all_0_71_71, e1 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = e1, yields:
% 41.04/12.84  																																																							| (1967) all_0_71_71 = e1
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																							+-Applying beta-rule and splitting (89), into two cases.
% 41.04/12.84  																																																							|-Branch one:
% 41.04/12.84  																																																							| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 41.04/12.84  																																																							|
% 41.04/12.84  																																																								+-Applying beta-rule and splitting (1373), into two cases.
% 41.04/12.84  																																																								|-Branch one:
% 41.04/12.84  																																																								| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 41.04/12.84  																																																								|
% 41.04/12.84  																																																									+-Applying beta-rule and splitting (1374), into two cases.
% 41.04/12.84  																																																									|-Branch one:
% 41.04/12.84  																																																									| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 41.04/12.84  																																																									|
% 41.04/12.84  																																																										| Applying alpha-rule on (1375) yields:
% 41.04/12.84  																																																										| (1376) all_0_69_69 = e4
% 41.04/12.84  																																																										| (1377)  ~ (all_0_70_70 = e0)
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										| Combining equations (1902,1376) yields a new equation:
% 41.04/12.84  																																																										| (434) e4 = e3
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										| Equations (434) can reduce 177 to:
% 41.04/12.84  																																																										| (311) $false
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										|-The branch is then unsatisfiable
% 41.04/12.84  																																																									|-Branch two:
% 41.04/12.84  																																																									| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 41.04/12.84  																																																									|
% 41.04/12.84  																																																										| Applying alpha-rule on (1379) yields:
% 41.04/12.84  																																																										| (1380) all_0_71_71 = e3
% 41.04/12.84  																																																										| (1381)  ~ (all_0_72_72 = e0)
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										| Combining equations (1967,1380) yields a new equation:
% 41.04/12.84  																																																										| (772) e3 = e1
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										| Equations (772) can reduce 20 to:
% 41.04/12.84  																																																										| (311) $false
% 41.04/12.84  																																																										|
% 41.04/12.84  																																																										|-The branch is then unsatisfiable
% 41.04/12.84  																																																								|-Branch two:
% 41.04/12.84  																																																								| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 41.04/12.85  																																																								|
% 41.04/12.85  																																																									| Applying alpha-rule on (1385) yields:
% 41.04/12.85  																																																									| (1386) all_0_73_73 = e2
% 41.04/12.85  																																																									| (1387)  ~ (all_0_74_74 = e0)
% 41.04/12.85  																																																									|
% 41.04/12.85  																																																									| Equations (1965) can reduce 1387 to:
% 41.04/12.85  																																																									| (311) $false
% 41.04/12.85  																																																									|
% 41.04/12.85  																																																									|-The branch is then unsatisfiable
% 41.04/12.85  																																																							|-Branch two:
% 41.04/12.85  																																																							| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 41.04/12.85  																																																							|
% 41.04/12.85  																																																								| Applying alpha-rule on (1391) yields:
% 41.04/12.85  																																																								| (1392) all_0_75_75 = e1
% 41.04/12.85  																																																								| (1393)  ~ (all_0_76_76 = e0)
% 41.04/12.85  																																																								|
% 41.04/12.85  																																																								| Combining equations (1392,1966) yields a new equation:
% 41.04/12.85  																																																								| (814) e4 = e1
% 41.04/12.85  																																																								|
% 41.04/12.85  																																																								| Equations (814) can reduce 256 to:
% 41.04/12.85  																																																								| (311) $false
% 41.04/12.85  																																																								|
% 41.04/12.85  																																																								|-The branch is then unsatisfiable
% 41.04/12.85  																																																						|-Branch two:
% 41.04/12.85  																																																						| (840)  ~ (all_0_92_92 = e1)
% 41.04/12.85  																																																						| (542) all_0_97_97 = e1
% 41.04/12.85  																																																						|
% 41.04/12.85  																																																							| Combining equations (538,542) yields a new equation:
% 41.04/12.85  																																																							| (408) e2 = e1
% 41.04/12.85  																																																							|
% 41.04/12.85  																																																							| Simplifying 408 yields:
% 41.04/12.85  																																																							| (385) e2 = e1
% 41.04/12.85  																																																							|
% 41.04/12.85  																																																							| Equations (385) can reduce 243 to:
% 41.04/12.85  																																																							| (311) $false
% 41.04/12.85  																																																							|
% 41.04/12.85  																																																							|-The branch is then unsatisfiable
% 41.04/12.85  																																																					|-Branch two:
% 41.04/12.85  																																																					| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.85  																																																					| (507) all_0_88_88 = e0
% 41.04/12.85  																																																					|
% 41.04/12.85  																																																						| Combining equations (504,507) yields a new equation:
% 41.04/12.85  																																																						| (1107) e1 = e0
% 41.04/12.85  																																																						|
% 41.04/12.85  																																																						| Simplifying 1107 yields:
% 41.04/12.85  																																																						| (865) e1 = e0
% 41.04/12.85  																																																						|
% 41.04/12.85  																																																						| Equations (865) can reduce 264 to:
% 41.04/12.85  																																																						| (311) $false
% 41.04/12.85  																																																						|
% 41.04/12.85  																																																						|-The branch is then unsatisfiable
% 41.04/12.85  																																																		|-Branch two:
% 41.04/12.85  																																																		| (479)  ~ (all_0_88_88 = e1)
% 41.04/12.85  																																																		| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																			+-Applying beta-rule and splitting (897), into two cases.
% 41.04/12.85  																																																			|-Branch one:
% 41.04/12.85  																																																			| (566) all_0_93_93 = e1
% 41.04/12.85  																																																			|
% 41.04/12.85  																																																				| Combining equations (566,607) yields a new equation:
% 41.04/12.85  																																																				| (814) e4 = e1
% 41.04/12.85  																																																				|
% 41.04/12.85  																																																				| Equations (814) can reduce 256 to:
% 41.04/12.85  																																																				| (311) $false
% 41.04/12.85  																																																				|
% 41.04/12.85  																																																				|-The branch is then unsatisfiable
% 41.04/12.85  																																																			|-Branch two:
% 41.04/12.85  																																																			| (481)  ~ (all_0_93_93 = e1)
% 41.04/12.85  																																																			| (1543) all_0_98_98 = e1
% 41.04/12.85  																																																			|
% 41.04/12.85  																																																				| Equations (1543) can reduce 1804 to:
% 41.04/12.85  																																																				| (311) $false
% 41.04/12.85  																																																				|
% 41.04/12.85  																																																				|-The branch is then unsatisfiable
% 41.04/12.85  																																												|-Branch two:
% 41.04/12.85  																																												| (417)  ~ (all_0_84_84 = e4)
% 41.04/12.85  																																												| (493) all_0_85_85 = e4
% 41.04/12.85  																																												|
% 41.04/12.85  																																													| Combining equations (804,493) yields a new equation:
% 41.04/12.85  																																													| (434) e4 = e3
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Equations (434) can reduce 177 to:
% 41.04/12.85  																																													| (311) $false
% 41.04/12.85  																																													|
% 41.04/12.85  																																													|-The branch is then unsatisfiable
% 41.04/12.85  																																											|-Branch two:
% 41.04/12.85  																																											| (964)  ~ (all_0_96_96 = e3)
% 41.04/12.85  																																											| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 41.04/12.85  																																											|
% 41.04/12.85  																																												+-Applying beta-rule and splitting (1707), into two cases.
% 41.04/12.85  																																												|-Branch one:
% 41.04/12.85  																																												| (960) all_0_96_96 = e1
% 41.04/12.85  																																												|
% 41.04/12.85  																																													| Equations (960) can reduce 1479 to:
% 41.04/12.85  																																													| (311) $false
% 41.04/12.85  																																													|
% 41.04/12.85  																																													|-The branch is then unsatisfiable
% 41.04/12.85  																																												|-Branch two:
% 41.04/12.85  																																												| (1479)  ~ (all_0_96_96 = e1)
% 41.04/12.85  																																												| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 41.04/12.85  																																												|
% 41.04/12.85  																																													+-Applying beta-rule and splitting (2016), into two cases.
% 41.04/12.85  																																													|-Branch one:
% 41.04/12.85  																																													| (778) all_0_96_96 = e3
% 41.04/12.85  																																													|
% 41.04/12.85  																																														| Equations (778) can reduce 964 to:
% 41.04/12.85  																																														| (311) $false
% 41.04/12.85  																																														|
% 41.04/12.85  																																														|-The branch is then unsatisfiable
% 41.04/12.85  																																													|-Branch two:
% 41.04/12.85  																																													| (964)  ~ (all_0_96_96 = e3)
% 41.04/12.85  																																													| (1837) all_0_96_96 = e0
% 41.04/12.85  																																													|
% 41.04/12.85  																																														| Equations (1837) can reduce 64 to:
% 41.04/12.85  																																														| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.85  																																														|
% 41.04/12.85  																																														+-Applying beta-rule and splitting (1880), into two cases.
% 41.04/12.85  																																														|-Branch one:
% 41.04/12.85  																																														| (588) all_0_91_91 = e3
% 41.04/12.85  																																														|
% 41.04/12.85  																																															| Equations (588) can reduce 571 to:
% 41.04/12.85  																																															| (311) $false
% 41.04/12.85  																																															|
% 41.04/12.85  																																															|-The branch is then unsatisfiable
% 41.04/12.85  																																														|-Branch two:
% 41.04/12.85  																																														| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.85  																																														| (1456) all_0_91_91 = e0
% 41.04/12.85  																																														|
% 41.04/12.85  																																															| Equations (1456) can reduce 1487 to:
% 41.04/12.85  																																															| (311) $false
% 41.04/12.85  																																															|
% 41.04/12.85  																																															|-The branch is then unsatisfiable
% 41.04/12.85  																																						|-Branch two:
% 41.04/12.85  																																						| (914)  ~ (all_0_82_82 = e0)
% 41.04/12.85  																																						| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.85  																																						|
% 41.04/12.85  																																							+-Applying beta-rule and splitting (1594), into two cases.
% 41.04/12.85  																																							|-Branch one:
% 41.04/12.85  																																							| (1265) all_0_84_84 = e3
% 41.04/12.85  																																							|
% 41.04/12.85  																																								| Equations (1265) can reduce 422 to:
% 41.04/12.85  																																								| (311) $false
% 41.04/12.85  																																								|
% 41.04/12.85  																																								|-The branch is then unsatisfiable
% 41.04/12.85  																																							|-Branch two:
% 41.04/12.85  																																							| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.85  																																							| (804) all_0_85_85 = e3
% 41.04/12.85  																																							|
% 41.04/12.85  																																								| Equations (804) can reduce 78 to:
% 41.04/12.85  																																								| (805)  ~ (all_0_88_88 = e3)
% 41.04/12.85  																																								|
% 41.04/12.85  																																								| Simplifying 805 yields:
% 41.04/12.85  																																								| (191)  ~ (all_0_88_88 = e3)
% 41.04/12.85  																																								|
% 41.04/12.85  																																								+-Applying beta-rule and splitting (249), into two cases.
% 41.04/12.85  																																								|-Branch one:
% 41.04/12.85  																																								| (910) all_0_82_82 = e0
% 41.04/12.85  																																								|
% 41.04/12.85  																																									| Equations (910) can reduce 914 to:
% 41.04/12.85  																																									| (311) $false
% 41.04/12.85  																																									|
% 41.04/12.85  																																									|-The branch is then unsatisfiable
% 41.04/12.85  																																								|-Branch two:
% 41.04/12.85  																																								| (914)  ~ (all_0_82_82 = e0)
% 41.04/12.85  																																								| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 41.04/12.85  																																								|
% 41.04/12.85  																																									+-Applying beta-rule and splitting (1309), into two cases.
% 41.04/12.85  																																									|-Branch one:
% 41.04/12.85  																																									| (798) all_0_83_83 = e0
% 41.04/12.85  																																									|
% 41.04/12.85  																																										| Combining equations (453,798) yields a new equation:
% 41.04/12.85  																																										| (923) e2 = e0
% 41.04/12.85  																																										|
% 41.04/12.85  																																										| Simplifying 923 yields:
% 41.04/12.85  																																										| (379) e2 = e0
% 41.04/12.85  																																										|
% 41.04/12.85  																																										| Equations (379) can reduce 76 to:
% 41.04/12.85  																																										| (311) $false
% 41.04/12.85  																																										|
% 41.04/12.85  																																										|-The branch is then unsatisfiable
% 41.04/12.85  																																									|-Branch two:
% 41.04/12.85  																																									| (1314)  ~ (all_0_83_83 = e0)
% 41.04/12.85  																																									| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 41.04/12.85  																																									|
% 41.04/12.85  																																										+-Applying beta-rule and splitting (1315), into two cases.
% 41.04/12.85  																																										|-Branch one:
% 41.04/12.85  																																										| (916) all_0_84_84 = e0
% 41.04/12.85  																																										|
% 41.04/12.85  																																											| Equations (916) can reduce 124 to:
% 41.04/12.85  																																											| (1317)  ~ (all_0_87_87 = e0)
% 41.04/12.85  																																											|
% 41.04/12.85  																																											| Simplifying 1317 yields:
% 41.04/12.85  																																											| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.85  																																											|
% 41.04/12.85  																																											+-Applying beta-rule and splitting (377), into two cases.
% 41.04/12.85  																																											|-Branch one:
% 41.04/12.85  																																											| (482) all_0_87_87 = e1
% 41.04/12.85  																																											|
% 41.04/12.85  																																												| Equations (482) can reduce 181 to:
% 41.04/12.85  																																												| (478)  ~ (all_0_88_88 = e1)
% 41.04/12.85  																																												|
% 41.04/12.85  																																												| Simplifying 478 yields:
% 41.04/12.85  																																												| (479)  ~ (all_0_88_88 = e1)
% 41.04/12.85  																																												|
% 41.04/12.85  																																												| Equations (482) can reduce 889 to:
% 41.04/12.85  																																												| (264)  ~ (e1 = e0)
% 41.04/12.85  																																												|
% 41.04/12.85  																																												+-Applying beta-rule and splitting (382), into two cases.
% 41.04/12.85  																																												|-Branch one:
% 41.04/12.85  																																												| (861) all_0_87_87 = e0
% 41.04/12.85  																																												|
% 41.04/12.85  																																													| Combining equations (482,861) yields a new equation:
% 41.04/12.85  																																													| (1107) e1 = e0
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Simplifying 1107 yields:
% 41.04/12.85  																																													| (865) e1 = e0
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Equations (865) can reduce 264 to:
% 41.04/12.85  																																													| (311) $false
% 41.04/12.85  																																													|
% 41.04/12.85  																																													|-The branch is then unsatisfiable
% 41.04/12.85  																																												|-Branch two:
% 41.04/12.85  																																												| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.85  																																												| (507) all_0_88_88 = e0
% 41.04/12.85  																																												|
% 41.04/12.85  																																													| Equations (507) can reduce 31 to:
% 41.04/12.85  																																													| (2058)  ~ (all_0_98_98 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Simplifying 2058 yields:
% 41.04/12.85  																																													| (2059)  ~ (all_0_98_98 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Equations (507) can reduce 191 to:
% 41.04/12.85  																																													| (906)  ~ (e3 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Simplifying 906 yields:
% 41.04/12.85  																																													| (50)  ~ (e3 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Equations (507) can reduce 351 to:
% 41.04/12.85  																																													| (510)  ~ (e2 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Simplifying 510 yields:
% 41.04/12.85  																																													| (76)  ~ (e2 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Equations (507) can reduce 479 to:
% 41.04/12.85  																																													| (859)  ~ (e1 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													| Simplifying 859 yields:
% 41.04/12.85  																																													| (264)  ~ (e1 = e0)
% 41.04/12.85  																																													|
% 41.04/12.85  																																													+-Applying beta-rule and splitting (291), into two cases.
% 41.04/12.85  																																													|-Branch one:
% 41.04/12.85  																																													| (758) all_0_90_90 = e0
% 41.04/12.85  																																													|
% 41.04/12.85  																																														| Combining equations (754,758) yields a new equation:
% 41.04/12.85  																																														| (599) e3 = e0
% 41.04/12.85  																																														|
% 41.04/12.85  																																														| Simplifying 599 yields:
% 41.04/12.85  																																														| (600) e3 = e0
% 41.04/12.85  																																														|
% 41.04/12.85  																																														| Equations (600) can reduce 50 to:
% 41.04/12.85  																																														| (311) $false
% 41.04/12.85  																																														|
% 41.04/12.85  																																														|-The branch is then unsatisfiable
% 41.04/12.85  																																													|-Branch two:
% 41.04/12.85  																																													| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.85  																																													| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.04/12.85  																																													|
% 41.04/12.85  																																														| Equations (754) can reduce 762 to:
% 41.04/12.85  																																														| (50)  ~ (e3 = e0)
% 41.04/12.85  																																														|
% 41.04/12.85  																																														+-Applying beta-rule and splitting (102), into two cases.
% 41.04/12.85  																																														|-Branch one:
% 41.04/12.85  																																														| (858) all_0_95_95 = e0
% 41.04/12.85  																																														|
% 41.04/12.85  																																															| Combining equations (858,785) yields a new equation:
% 41.04/12.85  																																															| (865) e1 = e0
% 41.04/12.85  																																															|
% 41.04/12.85  																																															| Equations (865) can reduce 264 to:
% 41.04/12.85  																																															| (311) $false
% 41.04/12.85  																																															|
% 41.04/12.85  																																															|-The branch is then unsatisfiable
% 41.04/12.85  																																														|-Branch two:
% 41.04/12.85  																																														| (893)  ~ (all_0_95_95 = e0)
% 41.04/12.85  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.04/12.85  																																														|
% 41.04/12.85  																																															+-Applying beta-rule and splitting (915), into two cases.
% 41.04/12.85  																																															|-Branch one:
% 41.04/12.85  																																															| (378) all_0_86_86 = e0
% 41.04/12.85  																																															|
% 41.04/12.85  																																																| Combining equations (345,378) yields a new equation:
% 41.04/12.85  																																																| (923) e2 = e0
% 41.04/12.85  																																																|
% 41.04/12.85  																																																| Simplifying 923 yields:
% 41.04/12.85  																																																| (379) e2 = e0
% 41.04/12.85  																																																|
% 41.04/12.85  																																																| Equations (379) can reduce 76 to:
% 41.04/12.85  																																																| (311) $false
% 41.04/12.85  																																																|
% 41.04/12.85  																																																|-The branch is then unsatisfiable
% 41.04/12.85  																																															|-Branch two:
% 41.04/12.85  																																															| (381)  ~ (all_0_86_86 = e0)
% 41.04/12.85  																																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.85  																																															|
% 41.04/12.85  																																																| Equations (345) can reduce 381 to:
% 41.04/12.85  																																																| (76)  ~ (e2 = e0)
% 41.04/12.85  																																																|
% 41.04/12.85  																																																+-Applying beta-rule and splitting (1921), into two cases.
% 41.04/12.85  																																																|-Branch one:
% 41.04/12.85  																																																| (1837) all_0_96_96 = e0
% 41.04/12.85  																																																|
% 41.04/12.85  																																																	| Equations (1837) can reduce 1479 to:
% 41.04/12.85  																																																	| (859)  ~ (e1 = e0)
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																	| Simplifying 859 yields:
% 41.04/12.85  																																																	| (264)  ~ (e1 = e0)
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																	+-Applying beta-rule and splitting (927), into two cases.
% 41.04/12.85  																																																	|-Branch one:
% 41.04/12.85  																																																	| (758) all_0_90_90 = e0
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																		| Combining equations (758,754) yields a new equation:
% 41.04/12.85  																																																		| (600) e3 = e0
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		| Equations (600) can reduce 50 to:
% 41.04/12.85  																																																		| (311) $false
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		|-The branch is then unsatisfiable
% 41.04/12.85  																																																	|-Branch two:
% 41.04/12.85  																																																	| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.85  																																																	| (858) all_0_95_95 = e0
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																		| Combining equations (858,785) yields a new equation:
% 41.04/12.85  																																																		| (865) e1 = e0
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		| Equations (865) can reduce 264 to:
% 41.04/12.85  																																																		| (311) $false
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		|-The branch is then unsatisfiable
% 41.04/12.85  																																																|-Branch two:
% 41.04/12.85  																																																| (2095)  ~ (all_0_96_96 = e0)
% 41.04/12.85  																																																| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.04/12.85  																																																|
% 41.04/12.85  																																																	+-Applying beta-rule and splitting (2096), into two cases.
% 41.04/12.85  																																																	|-Branch one:
% 41.04/12.85  																																																	| (560) all_0_97_97 = e0
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																		| Combining equations (560,538) yields a new equation:
% 41.04/12.85  																																																		| (379) e2 = e0
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		| Equations (379) can reduce 76 to:
% 41.04/12.85  																																																		| (311) $false
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		|-The branch is then unsatisfiable
% 41.04/12.85  																																																	|-Branch two:
% 41.04/12.85  																																																	| (609)  ~ (all_0_97_97 = e0)
% 41.04/12.85  																																																	| (1121) all_0_98_98 = e0
% 41.04/12.85  																																																	|
% 41.04/12.85  																																																		| Equations (1121) can reduce 2059 to:
% 41.04/12.85  																																																		| (311) $false
% 41.04/12.85  																																																		|
% 41.04/12.85  																																																		|-The branch is then unsatisfiable
% 41.04/12.85  																																											|-Branch two:
% 41.04/12.85  																																											| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.85  																																											| (861) all_0_87_87 = e0
% 41.04/12.85  																																											|
% 41.04/12.85  																																												| Equations (861) can reduce 889 to:
% 41.04/12.85  																																												| (311) $false
% 41.04/12.85  																																												|
% 41.04/12.85  																																												|-The branch is then unsatisfiable
% 41.04/12.85  																																										|-Branch two:
% 41.04/12.85  																																										| (919)  ~ (all_0_84_84 = e0)
% 41.04/12.85  																																										| (954) all_0_85_85 = e0
% 41.04/12.85  																																										|
% 41.04/12.85  																																											| Combining equations (804,954) yields a new equation:
% 41.04/12.85  																																											| (599) e3 = e0
% 41.04/12.85  																																											|
% 41.04/12.85  																																											| Simplifying 599 yields:
% 41.04/12.85  																																											| (600) e3 = e0
% 41.04/12.85  																																											|
% 41.04/12.85  																																											| Equations (600) can reduce 50 to:
% 41.04/12.85  																																											| (311) $false
% 41.04/12.85  																																											|
% 41.04/12.85  																																											|-The branch is then unsatisfiable
% 41.04/12.86  																																				|-Branch two:
% 41.04/12.86  																																				| (745)  ~ (all_0_90_90 = e3)
% 41.04/12.86  																																				| (744) all_0_95_95 = e3
% 41.04/12.86  																																				|
% 41.04/12.86  																																					| Combining equations (785,744) yields a new equation:
% 41.04/12.86  																																					| (772) e3 = e1
% 41.04/12.86  																																					|
% 41.04/12.86  																																					| Equations (772) can reduce 20 to:
% 41.04/12.86  																																					| (311) $false
% 41.04/12.86  																																					|
% 41.04/12.86  																																					|-The branch is then unsatisfiable
% 41.04/12.86  																																|-Branch two:
% 41.04/12.86  																																| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.86  																																| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.04/12.86  																																|
% 41.04/12.86  																																	+-Applying beta-rule and splitting (1718), into two cases.
% 41.04/12.86  																																	|-Branch one:
% 41.04/12.86  																																	| (384) all_0_86_86 = e1
% 41.04/12.86  																																	|
% 41.04/12.86  																																		| Combining equations (345,384) yields a new equation:
% 41.04/12.86  																																		| (408) e2 = e1
% 41.04/12.86  																																		|
% 41.04/12.86  																																		| Simplifying 408 yields:
% 41.04/12.86  																																		| (385) e2 = e1
% 41.04/12.86  																																		|
% 41.04/12.86  																																		| Equations (385) can reduce 243 to:
% 41.04/12.86  																																		| (311) $false
% 41.04/12.86  																																		|
% 41.04/12.86  																																		|-The branch is then unsatisfiable
% 41.04/12.86  																																	|-Branch two:
% 41.04/12.86  																																	| (387)  ~ (all_0_86_86 = e1)
% 41.04/12.86  																																	| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 41.04/12.86  																																	|
% 41.04/12.86  																																		+-Applying beta-rule and splitting (788), into two cases.
% 41.04/12.86  																																		|-Branch one:
% 41.04/12.86  																																		| (960) all_0_96_96 = e1
% 41.04/12.86  																																		|
% 41.04/12.86  																																			| Equations (960) can reduce 1479 to:
% 41.04/12.86  																																			| (311) $false
% 41.04/12.86  																																			|
% 41.04/12.86  																																			|-The branch is then unsatisfiable
% 41.04/12.86  																																		|-Branch two:
% 41.04/12.86  																																		| (1479)  ~ (all_0_96_96 = e1)
% 41.04/12.86  																																		| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.04/12.86  																																		|
% 41.04/12.86  																																			+-Applying beta-rule and splitting (2122), into two cases.
% 41.04/12.86  																																			|-Branch one:
% 41.04/12.86  																																			| (750) all_0_90_90 = e1
% 41.04/12.86  																																			|
% 41.04/12.86  																																				| Equations (750) can reduce 255 to:
% 41.04/12.86  																																				| (198)  ~ (all_0_82_82 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Equations (750) can reduce 103 to:
% 41.04/12.86  																																				| (1669)  ~ (all_0_91_91 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Simplifying 1669 yields:
% 41.04/12.86  																																				| (959)  ~ (all_0_91_91 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Equations (750) can reduce 72 to:
% 41.04/12.86  																																				| (2131)  ~ (all_0_92_92 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Simplifying 2131 yields:
% 41.04/12.86  																																				| (840)  ~ (all_0_92_92 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Equations (750) can reduce 294 to:
% 41.04/12.86  																																				| (487)  ~ (e2 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				| Simplifying 487 yields:
% 41.04/12.86  																																				| (243)  ~ (e2 = e1)
% 41.04/12.86  																																				|
% 41.04/12.86  																																				+-Applying beta-rule and splitting (151), into two cases.
% 41.04/12.86  																																				|-Branch one:
% 41.04/12.86  																																				| (824) all_0_80_80 = e1
% 41.04/12.86  																																				|
% 41.04/12.86  																																					| Combining equations (416,824) yields a new equation:
% 41.04/12.86  																																					| (825) e3 = e1
% 41.04/12.86  																																					|
% 41.04/12.86  																																					| Simplifying 825 yields:
% 41.04/12.86  																																					| (772) e3 = e1
% 41.04/12.86  																																					|
% 41.04/12.86  																																					| Equations (772) can reduce 20 to:
% 41.04/12.86  																																					| (311) $false
% 41.04/12.86  																																					|
% 41.04/12.86  																																					|-The branch is then unsatisfiable
% 41.04/12.86  																																				|-Branch two:
% 41.04/12.86  																																				| (828)  ~ (all_0_80_80 = e1)
% 41.04/12.86  																																				| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.04/12.86  																																				|
% 41.04/12.86  																																					+-Applying beta-rule and splitting (2126), into two cases.
% 41.04/12.86  																																					|-Branch one:
% 41.04/12.86  																																					| (542) all_0_97_97 = e1
% 41.04/12.86  																																					|
% 41.04/12.86  																																						| Combining equations (538,542) yields a new equation:
% 41.04/12.86  																																						| (408) e2 = e1
% 41.04/12.86  																																						|
% 41.04/12.86  																																						| Simplifying 408 yields:
% 41.04/12.86  																																						| (385) e2 = e1
% 41.04/12.86  																																						|
% 41.04/12.86  																																						| Equations (385) can reduce 243 to:
% 41.04/12.86  																																						| (311) $false
% 41.04/12.86  																																						|
% 41.04/12.86  																																						|-The branch is then unsatisfiable
% 41.04/12.86  																																					|-Branch two:
% 41.04/12.86  																																					| (486)  ~ (all_0_97_97 = e1)
% 41.04/12.86  																																					| (1543) all_0_98_98 = e1
% 41.04/12.86  																																					|
% 41.04/12.86  																																						| Equations (1543) can reduce 75 to:
% 41.04/12.86  																																						| (128)  ~ (all_0_85_85 = e1)
% 41.04/12.86  																																						|
% 41.04/12.86  																																						| Equations (1543) can reduce 107 to:
% 41.04/12.86  																																						| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.86  																																						|
% 41.04/12.86  																																						| Equations (1543) can reduce 1349 to:
% 41.04/12.86  																																						| (487)  ~ (e2 = e1)
% 41.04/12.86  																																						|
% 41.04/12.86  																																						| Simplifying 487 yields:
% 41.04/12.86  																																						| (243)  ~ (e2 = e1)
% 41.04/12.86  																																						|
% 41.04/12.86  																																						+-Applying beta-rule and splitting (829), into two cases.
% 41.04/12.86  																																						|-Branch one:
% 41.04/12.86  																																						| (482) all_0_87_87 = e1
% 41.04/12.86  																																						|
% 41.04/12.86  																																							| Equations (482) can reduce 124 to:
% 41.04/12.86  																																							| (259)  ~ (all_0_84_84 = e1)
% 41.04/12.86  																																							|
% 41.04/12.86  																																							| Equations (482) can reduce 181 to:
% 41.04/12.86  																																							| (478)  ~ (all_0_88_88 = e1)
% 41.04/12.86  																																							|
% 41.04/12.86  																																							| Simplifying 478 yields:
% 41.04/12.86  																																							| (479)  ~ (all_0_88_88 = e1)
% 41.04/12.86  																																							|
% 41.04/12.86  																																							| Equations (482) can reduce 349 to:
% 41.04/12.86  																																							| (487)  ~ (e2 = e1)
% 41.04/12.86  																																							|
% 41.04/12.86  																																							| Simplifying 487 yields:
% 41.04/12.86  																																							| (243)  ~ (e2 = e1)
% 41.04/12.86  																																							|
% 41.04/12.86  																																							+-Applying beta-rule and splitting (382), into two cases.
% 41.04/12.86  																																							|-Branch one:
% 41.04/12.86  																																							| (861) all_0_87_87 = e0
% 41.04/12.86  																																							|
% 41.04/12.86  																																								| Combining equations (482,861) yields a new equation:
% 41.04/12.86  																																								| (1107) e1 = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Simplifying 1107 yields:
% 41.04/12.86  																																								| (865) e1 = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Equations (865) can reduce 264 to:
% 41.04/12.86  																																								| (311) $false
% 41.04/12.86  																																								|
% 41.04/12.86  																																								|-The branch is then unsatisfiable
% 41.04/12.86  																																							|-Branch two:
% 41.04/12.86  																																							| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.86  																																							| (507) all_0_88_88 = e0
% 41.04/12.86  																																							|
% 41.04/12.86  																																								| Equations (507) can reduce 191 to:
% 41.04/12.86  																																								| (906)  ~ (e3 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Simplifying 906 yields:
% 41.04/12.86  																																								| (50)  ~ (e3 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Equations (507) can reduce 351 to:
% 41.04/12.86  																																								| (510)  ~ (e2 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Simplifying 510 yields:
% 41.04/12.86  																																								| (76)  ~ (e2 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Equations (507) can reduce 479 to:
% 41.04/12.86  																																								| (859)  ~ (e1 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Simplifying 859 yields:
% 41.04/12.86  																																								| (264)  ~ (e1 = e0)
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| From (507) and (161) follows:
% 41.04/12.86  																																								| (2169) op(e2, e0) = all_0_74_74
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| From (507) and (230) follows:
% 41.04/12.86  																																								| (2170) op(e2, e0) = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 41.04/12.86  																																								| (1965) all_0_74_74 = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																								| From (1965) and (2169) follows:
% 41.04/12.86  																																								| (2170) op(e2, e0) = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																								+-Applying beta-rule and splitting (291), into two cases.
% 41.04/12.86  																																								|-Branch one:
% 41.04/12.86  																																								| (758) all_0_90_90 = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																									| Combining equations (750,758) yields a new equation:
% 41.04/12.86  																																									| (1107) e1 = e0
% 41.04/12.86  																																									|
% 41.04/12.86  																																									| Simplifying 1107 yields:
% 41.04/12.86  																																									| (865) e1 = e0
% 41.04/12.86  																																									|
% 41.04/12.86  																																									| Equations (865) can reduce 264 to:
% 41.04/12.86  																																									| (311) $false
% 41.04/12.86  																																									|
% 41.04/12.86  																																									|-The branch is then unsatisfiable
% 41.04/12.86  																																								|-Branch two:
% 41.04/12.86  																																								| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.86  																																								| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.04/12.86  																																								|
% 41.04/12.86  																																									| Equations (750) can reduce 762 to:
% 41.04/12.86  																																									| (264)  ~ (e1 = e0)
% 41.04/12.86  																																									|
% 41.04/12.86  																																									+-Applying beta-rule and splitting (270), into two cases.
% 41.04/12.86  																																									|-Branch one:
% 41.04/12.86  																																									| (744) all_0_95_95 = e3
% 41.04/12.86  																																									|
% 41.04/12.86  																																										| Equations (744) can reduce 200 to:
% 41.04/12.86  																																										| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.86  																																										|
% 41.04/12.86  																																										| Equations (744) can reduce 279 to:
% 41.04/12.86  																																										| (1300)  ~ (all_0_96_96 = e3)
% 41.04/12.86  																																										|
% 41.04/12.86  																																										| Simplifying 1300 yields:
% 41.04/12.86  																																										| (964)  ~ (all_0_96_96 = e3)
% 41.04/12.86  																																										|
% 41.04/12.86  																																										| Equations (744) can reduce 355 to:
% 41.04/12.86  																																										| (169)  ~ (e3 = e2)
% 41.04/12.86  																																										|
% 41.04/12.86  																																										+-Applying beta-rule and splitting (1712), into two cases.
% 41.04/12.86  																																										|-Branch one:
% 41.04/12.86  																																										| (795) all_0_83_83 = e3
% 41.04/12.86  																																										|
% 41.04/12.86  																																											| Combining equations (453,795) yields a new equation:
% 41.04/12.86  																																											| (548) e3 = e2
% 41.04/12.86  																																											|
% 41.04/12.86  																																											| Equations (548) can reduce 169 to:
% 41.04/12.86  																																											| (311) $false
% 41.04/12.86  																																											|
% 41.04/12.86  																																											|-The branch is then unsatisfiable
% 41.04/12.86  																																										|-Branch two:
% 41.04/12.86  																																										| (779)  ~ (all_0_83_83 = e3)
% 41.04/12.86  																																										| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 41.04/12.86  																																										|
% 41.04/12.86  																																											| Equations (453) can reduce 779 to:
% 41.04/12.86  																																											| (356)  ~ (e3 = e2)
% 41.04/12.86  																																											|
% 41.04/12.86  																																											| Simplifying 356 yields:
% 41.04/12.86  																																											| (169)  ~ (e3 = e2)
% 41.04/12.86  																																											|
% 41.04/12.86  																																											+-Applying beta-rule and splitting (102), into two cases.
% 41.04/12.86  																																											|-Branch one:
% 41.04/12.86  																																											| (858) all_0_95_95 = e0
% 41.04/12.86  																																											|
% 41.04/12.86  																																												| Combining equations (858,744) yields a new equation:
% 41.04/12.86  																																												| (600) e3 = e0
% 41.04/12.86  																																												|
% 41.04/12.86  																																												| Equations (600) can reduce 50 to:
% 41.04/12.86  																																												| (311) $false
% 41.04/12.86  																																												|
% 41.04/12.86  																																												|-The branch is then unsatisfiable
% 41.04/12.86  																																											|-Branch two:
% 41.04/12.86  																																											| (893)  ~ (all_0_95_95 = e0)
% 41.04/12.86  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.04/12.86  																																											|
% 41.04/12.86  																																												| Equations (744) can reduce 893 to:
% 41.04/12.86  																																												| (50)  ~ (e3 = e0)
% 41.04/12.86  																																												|
% 41.04/12.86  																																												+-Applying beta-rule and splitting (171), into two cases.
% 41.04/12.86  																																												|-Branch one:
% 41.04/12.86  																																												| (789) all_0_82_82 = e3
% 41.04/12.86  																																												|
% 41.04/12.86  																																													| Equations (789) can reduce 793 to:
% 41.04/12.86  																																													| (311) $false
% 41.04/12.86  																																													|
% 41.04/12.86  																																													|-The branch is then unsatisfiable
% 41.04/12.86  																																												|-Branch two:
% 41.04/12.86  																																												| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.86  																																												| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.86  																																												|
% 41.04/12.86  																																													+-Applying beta-rule and splitting (10), into two cases.
% 41.04/12.86  																																													|-Branch one:
% 41.04/12.86  																																													| (530) all_0_82_82 = e2
% 41.04/12.86  																																													|
% 41.04/12.86  																																														| Equations (530) can reduce 347 to:
% 41.04/12.86  																																														| (311) $false
% 41.04/12.86  																																														|
% 41.04/12.86  																																														|-The branch is then unsatisfiable
% 41.04/12.86  																																													|-Branch two:
% 41.04/12.86  																																													| (347)  ~ (all_0_82_82 = e2)
% 41.04/12.86  																																													| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 41.04/12.86  																																													|
% 41.04/12.86  																																														+-Applying beta-rule and splitting (254), into two cases.
% 41.04/12.86  																																														|-Branch one:
% 41.04/12.86  																																														| (910) all_0_82_82 = e0
% 41.04/12.86  																																														|
% 41.04/12.86  																																															| Equations (910) can reduce 7 to:
% 41.04/12.86  																																															| (2207)  ~ (all_0_84_84 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															| Simplifying 2207 yields:
% 41.04/12.86  																																															| (919)  ~ (all_0_84_84 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															| Equations (910) can reduce 347 to:
% 41.04/12.86  																																															| (510)  ~ (e2 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															| Simplifying 510 yields:
% 41.04/12.86  																																															| (76)  ~ (e2 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															| Equations (910) can reduce 198 to:
% 41.04/12.86  																																															| (859)  ~ (e1 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															| Simplifying 859 yields:
% 41.04/12.86  																																															| (264)  ~ (e1 = e0)
% 41.04/12.86  																																															|
% 41.04/12.86  																																															+-Applying beta-rule and splitting (1296), into two cases.
% 41.04/12.86  																																															|-Branch one:
% 41.04/12.86  																																															| (795) all_0_83_83 = e3
% 41.04/12.86  																																															|
% 41.04/12.86  																																																| Combining equations (453,795) yields a new equation:
% 41.04/12.86  																																																| (548) e3 = e2
% 41.04/12.86  																																																|
% 41.04/12.86  																																																| Equations (548) can reduce 169 to:
% 41.04/12.86  																																																| (311) $false
% 41.04/12.86  																																																|
% 41.04/12.86  																																																|-The branch is then unsatisfiable
% 41.04/12.86  																																															|-Branch two:
% 41.04/12.86  																																															| (779)  ~ (all_0_83_83 = e3)
% 41.04/12.86  																																															| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.86  																																															|
% 41.04/12.86  																																																+-Applying beta-rule and splitting (1594), into two cases.
% 41.04/12.86  																																																|-Branch one:
% 41.04/12.86  																																																| (1265) all_0_84_84 = e3
% 41.04/12.86  																																																|
% 41.04/12.86  																																																	| Equations (1265) can reduce 422 to:
% 41.04/12.86  																																																	| (311) $false
% 41.04/12.86  																																																	|
% 41.04/12.86  																																																	|-The branch is then unsatisfiable
% 41.04/12.86  																																																|-Branch two:
% 41.04/12.86  																																																| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.86  																																																| (804) all_0_85_85 = e3
% 41.04/12.86  																																																|
% 41.04/12.86  																																																	| Equations (804) can reduce 128 to:
% 41.04/12.86  																																																	| (20)  ~ (e3 = e1)
% 41.04/12.86  																																																	|
% 41.04/12.86  																																																	+-Applying beta-rule and splitting (282), into two cases.
% 41.04/12.86  																																																	|-Branch one:
% 41.04/12.86  																																																	| (754) all_0_90_90 = e3
% 41.04/12.86  																																																	|
% 41.04/12.86  																																																		| Combining equations (754,750) yields a new equation:
% 41.04/12.86  																																																		| (825) e3 = e1
% 41.04/12.86  																																																		|
% 41.04/12.86  																																																		| Simplifying 825 yields:
% 41.04/12.86  																																																		| (772) e3 = e1
% 41.04/12.86  																																																		|
% 41.04/12.86  																																																		| Equations (772) can reduce 20 to:
% 41.04/12.86  																																																		| (311) $false
% 41.04/12.86  																																																		|
% 41.04/12.86  																																																		|-The branch is then unsatisfiable
% 41.04/12.86  																																																	|-Branch two:
% 41.04/12.86  																																																	| (745)  ~ (all_0_90_90 = e3)
% 41.04/12.86  																																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.04/12.86  																																																	|
% 41.04/12.86  																																																		+-Applying beta-rule and splitting (2), into two cases.
% 41.04/12.86  																																																		|-Branch one:
% 41.04/12.86  																																																		| (916) all_0_84_84 = e0
% 41.04/12.86  																																																		|
% 41.04/12.86  																																																			| Equations (916) can reduce 919 to:
% 41.04/12.86  																																																			| (311) $false
% 41.04/12.86  																																																			|
% 41.04/12.86  																																																			|-The branch is then unsatisfiable
% 41.04/12.86  																																																		|-Branch two:
% 41.04/12.86  																																																		| (919)  ~ (all_0_84_84 = e0)
% 41.04/12.86  																																																		| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.04/12.86  																																																		|
% 41.04/12.86  																																																			+-Applying beta-rule and splitting (920), into two cases.
% 41.04/12.86  																																																			|-Branch one:
% 41.04/12.86  																																																			| (861) all_0_87_87 = e0
% 41.04/12.86  																																																			|
% 41.04/12.86  																																																				| Combining equations (482,861) yields a new equation:
% 41.04/12.86  																																																				| (1107) e1 = e0
% 41.04/12.86  																																																				|
% 41.04/12.86  																																																				| Simplifying 1107 yields:
% 41.04/12.86  																																																				| (865) e1 = e0
% 41.04/12.86  																																																				|
% 41.04/12.86  																																																				| Equations (865) can reduce 264 to:
% 41.04/12.86  																																																				| (311) $false
% 41.04/12.86  																																																				|
% 41.04/12.86  																																																				|-The branch is then unsatisfiable
% 41.04/12.86  																																																			|-Branch two:
% 41.04/12.86  																																																			| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.86  																																																			| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.04/12.86  																																																			|
% 41.04/12.86  																																																				+-Applying beta-rule and splitting (931), into two cases.
% 41.04/12.86  																																																				|-Branch one:
% 41.04/12.86  																																																				| (942) all_0_92_92 = e0
% 41.04/12.86  																																																				|
% 41.04/12.86  																																																					| Equations (942) can reduce 265 to:
% 41.04/12.86  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.86  																																																					|
% 41.04/12.86  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 41.04/12.86  																																																					|-Branch one:
% 41.04/12.86  																																																					| (1456) all_0_91_91 = e0
% 41.04/12.86  																																																					|
% 41.04/12.86  																																																						| Equations (1456) can reduce 1487 to:
% 41.04/12.86  																																																						| (311) $false
% 41.04/12.86  																																																						|
% 41.04/12.86  																																																						|-The branch is then unsatisfiable
% 41.04/12.86  																																																					|-Branch two:
% 41.04/12.86  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.86  																																																					| (1837) all_0_96_96 = e0
% 41.04/12.86  																																																					|
% 41.04/12.86  																																																						| Equations (1837) can reduce 964 to:
% 41.04/12.86  																																																						| (906)  ~ (e3 = e0)
% 41.04/12.86  																																																						|
% 41.04/12.87  																																																						| Simplifying 906 yields:
% 41.04/12.87  																																																						| (50)  ~ (e3 = e0)
% 41.04/12.87  																																																						|
% 41.04/12.87  																																																						+-Applying beta-rule and splitting (849), into two cases.
% 41.04/12.87  																																																						|-Branch one:
% 41.04/12.87  																																																						| (588) all_0_91_91 = e3
% 41.04/12.87  																																																						|
% 41.04/12.87  																																																							| From (588) and (1703) follows:
% 41.04/12.87  																																																							| (1844) op(e2, e3) = e1
% 41.04/12.87  																																																							|
% 41.04/12.87  																																																							| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.04/12.87  																																																							| (385) e2 = e1
% 41.04/12.87  																																																							|
% 41.04/12.87  																																																							| Equations (385) can reduce 243 to:
% 41.04/12.87  																																																							| (311) $false
% 41.04/12.87  																																																							|
% 41.04/12.87  																																																							|-The branch is then unsatisfiable
% 41.04/12.87  																																																						|-Branch two:
% 41.04/12.87  																																																						| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.87  																																																						| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.04/12.87  																																																						|
% 41.04/12.87  																																																							+-Applying beta-rule and splitting (1842), into two cases.
% 41.04/12.87  																																																							|-Branch one:
% 41.04/12.87  																																																							| (588) all_0_91_91 = e3
% 41.04/12.87  																																																							|
% 41.04/12.87  																																																								| Equations (588) can reduce 571 to:
% 41.04/12.87  																																																								| (311) $false
% 41.04/12.87  																																																								|
% 41.04/12.87  																																																								|-The branch is then unsatisfiable
% 41.04/12.87  																																																							|-Branch two:
% 41.04/12.87  																																																							| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.87  																																																							| (778) all_0_96_96 = e3
% 41.04/12.87  																																																							|
% 41.04/12.87  																																																								| Combining equations (778,1837) yields a new equation:
% 41.04/12.87  																																																								| (599) e3 = e0
% 41.04/12.87  																																																								|
% 41.04/12.87  																																																								| Simplifying 599 yields:
% 41.04/12.87  																																																								| (600) e3 = e0
% 41.04/12.87  																																																								|
% 41.04/12.87  																																																								| Equations (600) can reduce 50 to:
% 41.04/12.87  																																																								| (311) $false
% 41.04/12.87  																																																								|
% 41.04/12.87  																																																								|-The branch is then unsatisfiable
% 41.04/12.87  																																																				|-Branch two:
% 41.04/12.87  																																																				| (946)  ~ (all_0_92_92 = e0)
% 41.04/12.87  																																																				| (560) all_0_97_97 = e0
% 41.04/12.87  																																																				|
% 41.04/12.87  																																																					| Combining equations (538,560) yields a new equation:
% 41.04/12.87  																																																					| (923) e2 = e0
% 41.04/12.87  																																																					|
% 41.04/12.87  																																																					| Simplifying 923 yields:
% 41.04/12.87  																																																					| (379) e2 = e0
% 41.04/12.87  																																																					|
% 41.04/12.87  																																																					| Equations (379) can reduce 76 to:
% 41.04/12.87  																																																					| (311) $false
% 41.04/12.87  																																																					|
% 41.04/12.87  																																																					|-The branch is then unsatisfiable
% 41.04/12.87  																																														|-Branch two:
% 41.04/12.87  																																														| (914)  ~ (all_0_82_82 = e0)
% 41.04/12.87  																																														| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.87  																																														|
% 41.04/12.87  																																															+-Applying beta-rule and splitting (915), into two cases.
% 41.04/12.87  																																															|-Branch one:
% 41.04/12.87  																																															| (378) all_0_86_86 = e0
% 41.04/12.87  																																															|
% 41.04/12.87  																																																| Combining equations (345,378) yields a new equation:
% 41.04/12.87  																																																| (923) e2 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																| Simplifying 923 yields:
% 41.04/12.87  																																																| (379) e2 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																| Equations (379) can reduce 76 to:
% 41.04/12.87  																																																| (311) $false
% 41.04/12.87  																																																|
% 41.04/12.87  																																																|-The branch is then unsatisfiable
% 41.04/12.87  																																															|-Branch two:
% 41.04/12.87  																																															| (381)  ~ (all_0_86_86 = e0)
% 41.04/12.87  																																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.87  																																															|
% 41.04/12.87  																																																+-Applying beta-rule and splitting (927), into two cases.
% 41.04/12.87  																																																|-Branch one:
% 41.04/12.87  																																																| (758) all_0_90_90 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																	| Combining equations (750,758) yields a new equation:
% 41.04/12.87  																																																	| (1107) e1 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	| Simplifying 1107 yields:
% 41.04/12.87  																																																	| (865) e1 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	| Equations (865) can reduce 264 to:
% 41.04/12.87  																																																	| (311) $false
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	|-The branch is then unsatisfiable
% 41.04/12.87  																																																|-Branch two:
% 41.04/12.87  																																																| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.87  																																																| (858) all_0_95_95 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																	| Combining equations (858,744) yields a new equation:
% 41.04/12.87  																																																	| (600) e3 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	| Equations (600) can reduce 50 to:
% 41.04/12.87  																																																	| (311) $false
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	|-The branch is then unsatisfiable
% 41.04/12.87  																																									|-Branch two:
% 41.04/12.87  																																									| (765)  ~ (all_0_95_95 = e3)
% 41.04/12.87  																																									| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.04/12.87  																																									|
% 41.04/12.87  																																										+-Applying beta-rule and splitting (99), into two cases.
% 41.04/12.87  																																										|-Branch one:
% 41.04/12.87  																																										| (767) all_0_95_95 = e2
% 41.04/12.87  																																										|
% 41.04/12.87  																																											| Equations (767) can reduce 355 to:
% 41.04/12.87  																																											| (311) $false
% 41.04/12.87  																																											|
% 41.04/12.87  																																											|-The branch is then unsatisfiable
% 41.04/12.87  																																										|-Branch two:
% 41.04/12.87  																																										| (355)  ~ (all_0_95_95 = e2)
% 41.04/12.87  																																										| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 41.04/12.87  																																										|
% 41.04/12.87  																																											+-Applying beta-rule and splitting (770), into two cases.
% 41.04/12.87  																																											|-Branch one:
% 41.04/12.87  																																											| (785) all_0_95_95 = e1
% 41.04/12.87  																																											|
% 41.04/12.87  																																												| Equations (785) can reduce 680 to:
% 41.04/12.87  																																												| (311) $false
% 41.04/12.87  																																												|
% 41.04/12.87  																																												|-The branch is then unsatisfiable
% 41.04/12.87  																																											|-Branch two:
% 41.04/12.87  																																											| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.87  																																											| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 41.04/12.87  																																											|
% 41.04/12.87  																																												+-Applying beta-rule and splitting (853), into two cases.
% 41.04/12.87  																																												|-Branch one:
% 41.04/12.87  																																												| (744) all_0_95_95 = e3
% 41.04/12.87  																																												|
% 41.04/12.87  																																													| Equations (744) can reduce 765 to:
% 41.04/12.87  																																													| (311) $false
% 41.04/12.87  																																													|
% 41.04/12.87  																																													|-The branch is then unsatisfiable
% 41.04/12.87  																																												|-Branch two:
% 41.04/12.87  																																												| (765)  ~ (all_0_95_95 = e3)
% 41.04/12.87  																																												| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 41.04/12.87  																																												|
% 41.04/12.87  																																													+-Applying beta-rule and splitting (857), into two cases.
% 41.04/12.87  																																													|-Branch one:
% 41.04/12.87  																																													| (858) all_0_95_95 = e0
% 41.04/12.87  																																													|
% 41.04/12.87  																																														| Equations (858) can reduce 279 to:
% 41.04/12.87  																																														| (2296)  ~ (all_0_96_96 = e0)
% 41.04/12.87  																																														|
% 41.04/12.87  																																														| Simplifying 2296 yields:
% 41.04/12.87  																																														| (2095)  ~ (all_0_96_96 = e0)
% 41.04/12.87  																																														|
% 41.04/12.87  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 41.04/12.87  																																														|-Branch one:
% 41.04/12.87  																																														| (1456) all_0_91_91 = e0
% 41.04/12.87  																																														|
% 41.04/12.87  																																															| Equations (1456) can reduce 265 to:
% 41.04/12.87  																																															| (2299)  ~ (all_0_92_92 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| Simplifying 2299 yields:
% 41.04/12.87  																																															| (946)  ~ (all_0_92_92 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| Equations (1456) can reduce 296 to:
% 41.04/12.87  																																															| (510)  ~ (e2 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| Simplifying 510 yields:
% 41.04/12.87  																																															| (76)  ~ (e2 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| Equations (1456) can reduce 959 to:
% 41.04/12.87  																																															| (859)  ~ (e1 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| Simplifying 859 yields:
% 41.04/12.87  																																															| (264)  ~ (e1 = e0)
% 41.04/12.87  																																															|
% 41.04/12.87  																																															| From (1456) and (1703) follows:
% 41.04/12.87  																																															| (2305) op(e2, e0) = e1
% 41.04/12.87  																																															|
% 41.04/12.87  																																															+-Applying beta-rule and splitting (2), into two cases.
% 41.04/12.87  																																															|-Branch one:
% 41.04/12.87  																																															| (916) all_0_84_84 = e0
% 41.04/12.87  																																															|
% 41.04/12.87  																																																| Equations (916) can reduce 259 to:
% 41.04/12.87  																																																| (859)  ~ (e1 = e0)
% 41.04/12.87  																																																|
% 41.04/12.87  																																																| Simplifying 859 yields:
% 41.04/12.87  																																																| (264)  ~ (e1 = e0)
% 41.04/12.87  																																																|
% 41.04/12.87  																																																| Instantiating formula (262) with e2, e0, e1, e0 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 41.04/12.87  																																																| (865) e1 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																| Equations (865) can reduce 264 to:
% 41.04/12.87  																																																| (311) $false
% 41.04/12.87  																																																|
% 41.04/12.87  																																																|-The branch is then unsatisfiable
% 41.04/12.87  																																															|-Branch two:
% 41.04/12.87  																																															| (919)  ~ (all_0_84_84 = e0)
% 41.04/12.87  																																															| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.04/12.87  																																															|
% 41.04/12.87  																																																+-Applying beta-rule and splitting (920), into two cases.
% 41.04/12.87  																																																|-Branch one:
% 41.04/12.87  																																																| (861) all_0_87_87 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																	| Combining equations (482,861) yields a new equation:
% 41.04/12.87  																																																	| (1107) e1 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	| Simplifying 1107 yields:
% 41.04/12.87  																																																	| (865) e1 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	| Equations (865) can reduce 264 to:
% 41.04/12.87  																																																	| (311) $false
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																	|-The branch is then unsatisfiable
% 41.04/12.87  																																																|-Branch two:
% 41.04/12.87  																																																| (889)  ~ (all_0_87_87 = e0)
% 41.04/12.87  																																																| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.04/12.87  																																																|
% 41.04/12.87  																																																	+-Applying beta-rule and splitting (931), into two cases.
% 41.04/12.87  																																																	|-Branch one:
% 41.04/12.87  																																																	| (942) all_0_92_92 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																		| Equations (942) can reduce 946 to:
% 41.04/12.87  																																																		| (311) $false
% 41.04/12.87  																																																		|
% 41.04/12.87  																																																		|-The branch is then unsatisfiable
% 41.04/12.87  																																																	|-Branch two:
% 41.04/12.87  																																																	| (946)  ~ (all_0_92_92 = e0)
% 41.04/12.87  																																																	| (560) all_0_97_97 = e0
% 41.04/12.87  																																																	|
% 41.04/12.87  																																																		| Combining equations (538,560) yields a new equation:
% 41.04/12.87  																																																		| (923) e2 = e0
% 41.04/12.87  																																																		|
% 41.04/12.87  																																																		| Simplifying 923 yields:
% 41.04/12.87  																																																		| (379) e2 = e0
% 41.04/12.87  																																																		|
% 41.04/12.87  																																																		| Equations (379) can reduce 76 to:
% 41.04/12.87  																																																		| (311) $false
% 41.04/12.87  																																																		|
% 41.04/12.87  																																																		|-The branch is then unsatisfiable
% 41.04/12.87  																																														|-Branch two:
% 41.04/12.87  																																														| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.87  																																														| (1837) all_0_96_96 = e0
% 41.04/12.87  																																														|
% 41.04/12.87  																																															| Equations (1837) can reduce 2095 to:
% 41.04/12.87  																																															| (311) $false
% 41.04/12.87  																																															|
% 41.04/12.87  																																															|-The branch is then unsatisfiable
% 41.04/12.87  																																													|-Branch two:
% 41.04/12.87  																																													| (893)  ~ (all_0_95_95 = e0)
% 41.04/12.87  																																													| (894) all_0_95_95 = e4
% 41.04/12.87  																																													|
% 41.04/12.87  																																														| Equations (894) can reduce 315 to:
% 41.04/12.87  																																														| (311) $false
% 41.04/12.87  																																														|
% 41.04/12.87  																																														|-The branch is then unsatisfiable
% 41.04/12.87  																																						|-Branch two:
% 41.04/12.87  																																						| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.87  																																						| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.04/12.87  																																						|
% 41.04/12.87  																																							+-Applying beta-rule and splitting (835), into two cases.
% 41.04/12.87  																																							|-Branch one:
% 41.04/12.87  																																							| (836) all_0_92_92 = e1
% 41.04/12.87  																																							|
% 41.04/12.87  																																								| Equations (836) can reduce 840 to:
% 41.04/12.87  																																								| (311) $false
% 41.04/12.87  																																								|
% 41.04/12.87  																																								|-The branch is then unsatisfiable
% 41.04/12.87  																																							|-Branch two:
% 41.04/12.87  																																							| (840)  ~ (all_0_92_92 = e1)
% 41.04/12.87  																																							| (542) all_0_97_97 = e1
% 41.04/12.87  																																							|
% 41.04/12.87  																																								| Combining equations (538,542) yields a new equation:
% 41.04/12.87  																																								| (408) e2 = e1
% 41.04/12.87  																																								|
% 41.04/12.87  																																								| Simplifying 408 yields:
% 41.04/12.87  																																								| (385) e2 = e1
% 41.04/12.87  																																								|
% 41.04/12.87  																																								| Equations (385) can reduce 243 to:
% 41.04/12.87  																																								| (311) $false
% 41.04/12.87  																																								|
% 41.04/12.87  																																								|-The branch is then unsatisfiable
% 41.04/12.87  																																			|-Branch two:
% 41.04/12.87  																																			| (678)  ~ (all_0_90_90 = e1)
% 41.04/12.87  																																			| (785) all_0_95_95 = e1
% 41.04/12.87  																																			|
% 41.04/12.87  																																				| Equations (785) can reduce 680 to:
% 41.04/12.87  																																				| (311) $false
% 41.04/12.87  																																				|
% 41.04/12.87  																																				|-The branch is then unsatisfiable
% 41.04/12.87  																														|-Branch two:
% 41.04/12.87  																														| (527)  ~ (all_0_97_97 = e2)
% 41.04/12.87  																														| (525) all_0_98_98 = e2
% 41.04/12.87  																														|
% 41.04/12.87  																															| Equations (525) can reduce 1349 to:
% 41.04/12.87  																															| (311) $false
% 41.04/12.87  																															|
% 41.04/12.87  																															|-The branch is then unsatisfiable
% 41.04/12.87  																												|-Branch two:
% 41.04/12.87  																												| (2347)  ~ (all_0_80_80 = e3)
% 41.04/12.87  																												| (635) all_0_81_81 = e3
% 41.04/12.87  																												|
% 41.04/12.87  																													| Combining equations (473,635) yields a new equation:
% 41.04/12.87  																													| (548) e3 = e2
% 41.04/12.87  																													|
% 41.04/12.87  																													| Equations (548) can reduce 169 to:
% 41.04/12.87  																													| (311) $false
% 41.04/12.87  																													|
% 41.04/12.87  																													|-The branch is then unsatisfiable
% 41.04/12.87  																							|-Branch two:
% 41.04/12.87  																							| (396)  ~ (all_0_81_81 = e2)
% 41.04/12.87  																							| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 41.04/12.87  																							|
% 41.04/12.87  																								+-Applying beta-rule and splitting (476), into two cases.
% 41.04/12.87  																								|-Branch one:
% 41.04/12.87  																								| (477) all_0_81_81 = e1
% 41.04/12.87  																								|
% 41.04/12.87  																									| Equations (477) can reduce 628 to:
% 41.04/12.87  																									| (311) $false
% 41.04/12.87  																									|
% 41.04/12.87  																									|-The branch is then unsatisfiable
% 41.04/12.87  																								|-Branch two:
% 41.04/12.87  																								| (628)  ~ (all_0_81_81 = e1)
% 41.04/12.87  																								| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 41.04/12.87  																								|
% 41.04/12.87  																									+-Applying beta-rule and splitting (629), into two cases.
% 41.04/12.87  																									|-Branch one:
% 41.04/12.87  																									| (635) all_0_81_81 = e3
% 41.04/12.87  																									|
% 41.04/12.87  																										| Equations (635) can reduce 118 to:
% 41.04/12.87  																										| (2358)  ~ (all_0_85_85 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Simplifying 2358 yields:
% 41.04/12.87  																										| (952)  ~ (all_0_85_85 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Equations (635) can reduce 266 to:
% 41.04/12.87  																										| (805)  ~ (all_0_88_88 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Simplifying 805 yields:
% 41.04/12.87  																										| (191)  ~ (all_0_88_88 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Equations (635) can reduce 277 to:
% 41.04/12.87  																										| (807)  ~ (all_0_93_93 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Simplifying 807 yields:
% 41.04/12.87  																										| (602)  ~ (all_0_93_93 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Equations (635) can reduce 5 to:
% 41.04/12.87  																										| (1518)  ~ (all_0_98_98 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Simplifying 1518 yields:
% 41.04/12.87  																										| (1519)  ~ (all_0_98_98 = e3)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Equations (635) can reduce 396 to:
% 41.04/12.87  																										| (169)  ~ (e3 = e2)
% 41.04/12.87  																										|
% 41.04/12.87  																										| Equations (635) can reduce 257 to:
% 41.04/12.87  																										| (50)  ~ (e3 = e0)
% 41.04/12.87  																										|
% 41.04/12.87  																										| From (635) and (145) follows:
% 41.04/12.87  																										| (2368) op(e0, e3) = all_0_69_69
% 41.04/12.87  																										|
% 41.04/12.87  																										+-Applying beta-rule and splitting (45), into two cases.
% 41.04/12.87  																										|-Branch one:
% 41.04/12.87  																										| (546) all_0_80_80 = e2
% 41.04/12.87  																										|
% 41.04/12.87  																											| Equations (546) can reduce 273 to:
% 41.04/12.87  																											| (1631)  ~ (all_0_84_84 = e2)
% 41.04/12.87  																											|
% 41.04/12.87  																											| Simplifying 1631 yields:
% 41.04/12.87  																											| (612)  ~ (all_0_84_84 = e2)
% 41.04/12.87  																											|
% 41.04/12.87  																											| Equations (546) can reduce 73 to:
% 41.04/12.87  																											| (348)  ~ (all_0_87_87 = e2)
% 41.04/12.87  																											|
% 41.04/12.87  																											| Simplifying 348 yields:
% 41.04/12.87  																											| (349)  ~ (all_0_87_87 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Equations (546) can reduce 49 to:
% 41.04/12.88  																											| (297)  ~ (all_0_92_92 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Simplifying 297 yields:
% 41.04/12.88  																											| (298)  ~ (all_0_92_92 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Equations (546) can reduce 202 to:
% 41.04/12.88  																											| (2376)  ~ (all_0_97_97 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Simplifying 2376 yields:
% 41.04/12.88  																											| (527)  ~ (all_0_97_97 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Equations (546) can reduce 436 to:
% 41.04/12.88  																											| (528)  ~ (e4 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Simplifying 528 yields:
% 41.04/12.88  																											| (79)  ~ (e4 = e2)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Equations (546) can reduce 828 to:
% 41.04/12.88  																											| (243)  ~ (e2 = e1)
% 41.04/12.88  																											|
% 41.04/12.88  																											| Equations (546) can reduce 166 to:
% 41.04/12.88  																											| (76)  ~ (e2 = e0)
% 41.04/12.88  																											|
% 41.04/12.88  																											+-Applying beta-rule and splitting (97), into two cases.
% 41.04/12.88  																											|-Branch one:
% 41.04/12.88  																											| (1757) all_0_94_94 = e2
% 41.04/12.88  																											|
% 41.04/12.88  																												| Combining equations (1757,313) yields a new equation:
% 41.04/12.88  																												| (310) e4 = e2
% 41.04/12.88  																												|
% 41.04/12.88  																												| Equations (310) can reduce 79 to:
% 41.04/12.88  																												| (311) $false
% 41.04/12.88  																												|
% 41.04/12.88  																												|-The branch is then unsatisfiable
% 41.04/12.88  																											|-Branch two:
% 41.04/12.88  																											| (1761)  ~ (all_0_94_94 = e2)
% 41.04/12.88  																											| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.04/12.88  																											|
% 41.04/12.88  																												+-Applying beta-rule and splitting (1762), into two cases.
% 41.04/12.88  																												|-Branch one:
% 41.04/12.88  																												| (767) all_0_95_95 = e2
% 41.04/12.88  																												|
% 41.04/12.88  																													| Equations (767) can reduce 355 to:
% 41.04/12.88  																													| (311) $false
% 41.04/12.88  																													|
% 41.04/12.88  																													|-The branch is then unsatisfiable
% 41.04/12.88  																												|-Branch two:
% 41.04/12.88  																												| (355)  ~ (all_0_95_95 = e2)
% 41.04/12.88  																												| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.04/12.88  																												|
% 41.04/12.88  																													+-Applying beta-rule and splitting (1772), into two cases.
% 41.04/12.88  																													|-Branch one:
% 41.04/12.88  																													| (1704) all_0_96_96 = e2
% 41.04/12.88  																													|
% 41.04/12.88  																														| Equations (1704) can reduce 1638 to:
% 41.04/12.88  																														| (311) $false
% 41.04/12.88  																														|
% 41.04/12.88  																														|-The branch is then unsatisfiable
% 41.04/12.88  																													|-Branch two:
% 41.04/12.88  																													| (1638)  ~ (all_0_96_96 = e2)
% 41.04/12.88  																													| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 41.04/12.88  																													|
% 41.04/12.88  																														+-Applying beta-rule and splitting (1783), into two cases.
% 41.04/12.88  																														|-Branch one:
% 41.04/12.88  																														| (538) all_0_97_97 = e2
% 41.04/12.88  																														|
% 41.04/12.88  																															| Equations (538) can reduce 527 to:
% 41.04/12.88  																															| (311) $false
% 41.04/12.88  																															|
% 41.04/12.88  																															|-The branch is then unsatisfiable
% 41.04/12.88  																														|-Branch two:
% 41.04/12.88  																														| (527)  ~ (all_0_97_97 = e2)
% 41.04/12.88  																														| (525) all_0_98_98 = e2
% 41.04/12.88  																														|
% 41.04/12.88  																															| Equations (525) can reduce 75 to:
% 41.04/12.88  																															| (515)  ~ (all_0_85_85 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 31 to:
% 41.04/12.88  																															| (351)  ~ (all_0_88_88 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 13 to:
% 41.04/12.88  																															| (300)  ~ (all_0_93_93 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 107 to:
% 41.04/12.88  																															| (355)  ~ (all_0_95_95 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 148 to:
% 41.04/12.88  																															| (527)  ~ (all_0_97_97 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 321 to:
% 41.04/12.88  																															| (528)  ~ (e4 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Simplifying 528 yields:
% 41.04/12.88  																															| (79)  ~ (e4 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Equations (525) can reduce 1519 to:
% 41.04/12.88  																															| (356)  ~ (e3 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| Simplifying 356 yields:
% 41.04/12.88  																															| (169)  ~ (e3 = e2)
% 41.04/12.88  																															|
% 41.04/12.88  																															| From (525) and (38) follows:
% 41.04/12.88  																															| (2408) op(e0, e0) = e2
% 41.04/12.88  																															|
% 41.04/12.88  																															| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_95_95 and discharging atoms op(e0, e3) = all_0_69_69, op(e0, e3) = all_0_95_95, yields:
% 41.04/12.88  																															| (2409) all_0_69_69 = all_0_95_95
% 41.04/12.88  																															|
% 41.04/12.88  																															+-Applying beta-rule and splitting (10), into two cases.
% 41.04/12.88  																															|-Branch one:
% 41.04/12.88  																															| (530) all_0_82_82 = e2
% 41.04/12.88  																															|
% 41.04/12.88  																																| Equations (530) can reduce 347 to:
% 41.04/12.88  																																| (311) $false
% 41.04/12.88  																																|
% 41.04/12.88  																																|-The branch is then unsatisfiable
% 41.04/12.88  																															|-Branch two:
% 41.04/12.88  																															| (347)  ~ (all_0_82_82 = e2)
% 41.04/12.88  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 41.04/12.88  																															|
% 41.04/12.88  																																+-Applying beta-rule and splitting (171), into two cases.
% 41.04/12.88  																																|-Branch one:
% 41.04/12.88  																																| (789) all_0_82_82 = e3
% 41.04/12.88  																																|
% 41.04/12.88  																																	| Equations (789) can reduce 209 to:
% 41.04/12.88  																																	| (2358)  ~ (all_0_85_85 = e3)
% 41.04/12.88  																																	|
% 41.04/12.88  																																	| Simplifying 2358 yields:
% 41.04/12.88  																																	| (952)  ~ (all_0_85_85 = e3)
% 41.04/12.88  																																	|
% 41.04/12.88  																																	| Equations (789) can reduce 200 to:
% 41.04/12.88  																																	| (1070)  ~ (all_0_95_95 = e3)
% 41.04/12.88  																																	|
% 41.04/12.88  																																	| Simplifying 1070 yields:
% 41.04/12.88  																																	| (765)  ~ (all_0_95_95 = e3)
% 41.04/12.88  																																	|
% 41.04/12.88  																																	| Equations (789) can reduce 347 to:
% 41.04/12.88  																																	| (169)  ~ (e3 = e2)
% 41.04/12.88  																																	|
% 41.04/12.88  																																	+-Applying beta-rule and splitting (254), into two cases.
% 41.04/12.88  																																	|-Branch one:
% 41.04/12.88  																																	| (910) all_0_82_82 = e0
% 41.04/12.88  																																	|
% 41.04/12.88  																																		| Combining equations (789,910) yields a new equation:
% 41.04/12.88  																																		| (599) e3 = e0
% 41.04/12.88  																																		|
% 41.04/12.88  																																		| Simplifying 599 yields:
% 41.04/12.88  																																		| (600) e3 = e0
% 41.04/12.88  																																		|
% 41.04/12.88  																																		| Equations (600) can reduce 50 to:
% 41.04/12.88  																																		| (311) $false
% 41.04/12.88  																																		|
% 41.04/12.88  																																		|-The branch is then unsatisfiable
% 41.04/12.88  																																	|-Branch two:
% 41.04/12.88  																																	| (914)  ~ (all_0_82_82 = e0)
% 41.04/12.88  																																	| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.88  																																	|
% 41.04/12.88  																																		+-Applying beta-rule and splitting (92), into two cases.
% 41.04/12.88  																																		|-Branch one:
% 41.04/12.88  																																		| (552) all_0_84_84 = e2
% 41.04/12.88  																																		|
% 41.04/12.88  																																			| Equations (552) can reduce 612 to:
% 41.04/12.88  																																			| (311) $false
% 41.04/12.88  																																			|
% 41.04/12.88  																																			|-The branch is then unsatisfiable
% 41.04/12.88  																																		|-Branch two:
% 41.04/12.88  																																		| (612)  ~ (all_0_84_84 = e2)
% 41.04/12.88  																																		| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 41.04/12.88  																																		|
% 41.04/12.88  																																			+-Applying beta-rule and splitting (176), into two cases.
% 41.04/12.88  																																			|-Branch one:
% 41.04/12.88  																																			| (785) all_0_95_95 = e1
% 41.04/12.88  																																			|
% 41.04/12.88  																																				| Equations (785) can reduce 355 to:
% 41.04/12.88  																																				| (487)  ~ (e2 = e1)
% 41.04/12.88  																																				|
% 41.04/12.88  																																				| Simplifying 487 yields:
% 41.04/12.88  																																				| (243)  ~ (e2 = e1)
% 41.04/12.88  																																				|
% 41.04/12.88  																																				+-Applying beta-rule and splitting (915), into two cases.
% 41.04/12.88  																																				|-Branch one:
% 41.04/12.88  																																				| (378) all_0_86_86 = e0
% 41.04/12.88  																																				|
% 41.04/12.88  																																					| Combining equations (345,378) yields a new equation:
% 41.04/12.88  																																					| (923) e2 = e0
% 41.04/12.88  																																					|
% 41.04/12.88  																																					| Simplifying 923 yields:
% 41.04/12.88  																																					| (379) e2 = e0
% 41.04/12.88  																																					|
% 41.04/12.88  																																					| Equations (379) can reduce 76 to:
% 41.04/12.88  																																					| (311) $false
% 41.04/12.88  																																					|
% 41.04/12.88  																																					|-The branch is then unsatisfiable
% 41.04/12.88  																																				|-Branch two:
% 41.04/12.88  																																				| (381)  ~ (all_0_86_86 = e0)
% 41.04/12.88  																																				| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.88  																																				|
% 41.04/12.88  																																					+-Applying beta-rule and splitting (927), into two cases.
% 41.04/12.88  																																					|-Branch one:
% 41.04/12.88  																																					| (758) all_0_90_90 = e0
% 41.04/12.88  																																					|
% 41.04/12.88  																																						| Equations (758) can reduce 103 to:
% 41.04/12.88  																																						| (1830)  ~ (all_0_91_91 = e0)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Simplifying 1830 yields:
% 41.04/12.88  																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						+-Applying beta-rule and splitting (1726), into two cases.
% 41.04/12.88  																																						|-Branch one:
% 41.04/12.88  																																						| (801) all_0_91_91 = e1
% 41.04/12.88  																																						|
% 41.04/12.88  																																							| Equations (801) can reduce 959 to:
% 41.04/12.88  																																							| (311) $false
% 41.04/12.88  																																							|
% 41.04/12.88  																																							|-The branch is then unsatisfiable
% 41.04/12.88  																																						|-Branch two:
% 41.04/12.88  																																						| (959)  ~ (all_0_91_91 = e1)
% 41.04/12.88  																																						| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.04/12.88  																																						|
% 41.04/12.88  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 41.04/12.88  																																							|-Branch one:
% 41.04/12.88  																																							| (1456) all_0_91_91 = e0
% 41.04/12.88  																																							|
% 41.04/12.88  																																								| Equations (1456) can reduce 1487 to:
% 41.04/12.88  																																								| (311) $false
% 41.04/12.88  																																								|
% 41.04/12.88  																																								|-The branch is then unsatisfiable
% 41.04/12.88  																																							|-Branch two:
% 41.04/12.88  																																							| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.88  																																							| (1837) all_0_96_96 = e0
% 41.04/12.88  																																							|
% 41.04/12.88  																																								| Equations (1837) can reduce 64 to:
% 41.04/12.88  																																								| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.88  																																								|
% 41.04/12.88  																																								+-Applying beta-rule and splitting (1880), into two cases.
% 41.04/12.88  																																								|-Branch one:
% 41.04/12.88  																																								| (588) all_0_91_91 = e3
% 41.04/12.88  																																								|
% 41.04/12.88  																																									| From (588) and (1703) follows:
% 41.04/12.88  																																									| (1844) op(e2, e3) = e1
% 41.04/12.88  																																									|
% 41.04/12.88  																																									| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.04/12.88  																																									| (385) e2 = e1
% 41.04/12.88  																																									|
% 41.04/12.88  																																									| Equations (385) can reduce 243 to:
% 41.04/12.88  																																									| (311) $false
% 41.04/12.88  																																									|
% 41.04/12.88  																																									|-The branch is then unsatisfiable
% 41.04/12.88  																																								|-Branch two:
% 41.04/12.88  																																								| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.88  																																								| (1456) all_0_91_91 = e0
% 41.04/12.88  																																								|
% 41.04/12.88  																																									| Equations (1456) can reduce 1487 to:
% 41.04/12.88  																																									| (311) $false
% 41.04/12.88  																																									|
% 41.04/12.88  																																									|-The branch is then unsatisfiable
% 41.04/12.88  																																					|-Branch two:
% 41.04/12.88  																																					| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.88  																																					| (858) all_0_95_95 = e0
% 41.04/12.88  																																					|
% 41.04/12.88  																																						| Combining equations (858,785) yields a new equation:
% 41.04/12.88  																																						| (865) e1 = e0
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Equations (865) can reduce 264 to:
% 41.04/12.88  																																						| (311) $false
% 41.04/12.88  																																						|
% 41.04/12.88  																																						|-The branch is then unsatisfiable
% 41.04/12.88  																																			|-Branch two:
% 41.04/12.88  																																			| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.88  																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.04/12.88  																																			|
% 41.04/12.88  																																				+-Applying beta-rule and splitting (788), into two cases.
% 41.04/12.88  																																				|-Branch one:
% 41.04/12.88  																																				| (960) all_0_96_96 = e1
% 41.04/12.88  																																				|
% 41.04/12.88  																																					| Equations (960) can reduce 1479 to:
% 41.04/12.88  																																					| (311) $false
% 41.04/12.88  																																					|
% 41.04/12.88  																																					|-The branch is then unsatisfiable
% 41.04/12.88  																																				|-Branch two:
% 41.04/12.88  																																				| (1479)  ~ (all_0_96_96 = e1)
% 41.04/12.88  																																				| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.04/12.88  																																				|
% 41.04/12.88  																																					+-Applying beta-rule and splitting (2126), into two cases.
% 41.04/12.88  																																					|-Branch one:
% 41.04/12.88  																																					| (542) all_0_97_97 = e1
% 41.04/12.88  																																					|
% 41.04/12.88  																																						| Equations (542) can reduce 221 to:
% 41.04/12.88  																																						| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Equations (542) can reduce 105 to:
% 41.04/12.88  																																						| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Equations (542) can reduce 22 to:
% 41.04/12.88  																																						| (1479)  ~ (all_0_96_96 = e1)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Equations (542) can reduce 527 to:
% 41.04/12.88  																																						| (487)  ~ (e2 = e1)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| Simplifying 487 yields:
% 41.04/12.88  																																						| (243)  ~ (e2 = e1)
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| From (542) and (69) follows:
% 41.04/12.88  																																						| (2474) op(e0, e1) = all_0_68_68
% 41.04/12.88  																																						|
% 41.04/12.88  																																						| From (542) and (147) follows:
% 41.04/12.88  																																						| (2475) op(e0, e1) = e1
% 41.04/12.88  																																						|
% 41.04/12.88  																																						+-Applying beta-rule and splitting (207), into two cases.
% 41.04/12.88  																																						|-Branch one:
% 41.04/12.88  																																						| (416) all_0_80_80 = e3
% 41.04/12.88  																																						|
% 41.04/12.88  																																							| Combining equations (416,546) yields a new equation:
% 41.04/12.88  																																							| (547) e3 = e2
% 41.04/12.88  																																							|
% 41.04/12.88  																																							| Simplifying 547 yields:
% 41.04/12.88  																																							| (548) e3 = e2
% 41.04/12.88  																																							|
% 41.04/12.88  																																							| Equations (548) can reduce 169 to:
% 41.04/12.88  																																							| (311) $false
% 41.04/12.88  																																							|
% 41.04/12.88  																																							|-The branch is then unsatisfiable
% 41.04/12.88  																																						|-Branch two:
% 41.04/12.88  																																						| (2347)  ~ (all_0_80_80 = e3)
% 41.04/12.88  																																						| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.04/12.88  																																						|
% 41.04/12.88  																																							| Equations (546) can reduce 2347 to:
% 41.04/12.88  																																							| (356)  ~ (e3 = e2)
% 41.04/12.88  																																							|
% 41.04/12.88  																																							| Simplifying 356 yields:
% 41.04/12.88  																																							| (169)  ~ (e3 = e2)
% 41.04/12.88  																																							|
% 41.04/12.88  																																							+-Applying beta-rule and splitting (270), into two cases.
% 41.04/12.88  																																							|-Branch one:
% 41.04/12.88  																																							| (744) all_0_95_95 = e3
% 41.04/12.88  																																							|
% 41.04/12.88  																																								| Equations (744) can reduce 765 to:
% 41.04/12.88  																																								| (311) $false
% 41.04/12.88  																																								|
% 41.04/12.88  																																								|-The branch is then unsatisfiable
% 41.04/12.88  																																							|-Branch two:
% 41.04/12.88  																																							| (765)  ~ (all_0_95_95 = e3)
% 41.04/12.88  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.04/12.88  																																							|
% 41.04/12.88  																																								+-Applying beta-rule and splitting (99), into two cases.
% 41.04/12.88  																																								|-Branch one:
% 41.04/12.88  																																								| (767) all_0_95_95 = e2
% 41.04/12.88  																																								|
% 41.04/12.88  																																									| Equations (767) can reduce 355 to:
% 41.04/12.88  																																									| (311) $false
% 41.04/12.88  																																									|
% 41.04/12.88  																																									|-The branch is then unsatisfiable
% 41.04/12.88  																																								|-Branch two:
% 41.04/12.88  																																								| (355)  ~ (all_0_95_95 = e2)
% 41.04/12.88  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 41.04/12.88  																																								|
% 41.04/12.88  																																									+-Applying beta-rule and splitting (1718), into two cases.
% 41.04/12.88  																																									|-Branch one:
% 41.04/12.88  																																									| (384) all_0_86_86 = e1
% 41.04/12.88  																																									|
% 41.04/12.88  																																										| Combining equations (345,384) yields a new equation:
% 41.04/12.88  																																										| (408) e2 = e1
% 41.04/12.88  																																										|
% 41.04/12.88  																																										| Simplifying 408 yields:
% 41.04/12.88  																																										| (385) e2 = e1
% 41.04/12.88  																																										|
% 41.04/12.88  																																										| Equations (385) can reduce 243 to:
% 41.04/12.88  																																										| (311) $false
% 41.04/12.88  																																										|
% 41.04/12.88  																																										|-The branch is then unsatisfiable
% 41.04/12.88  																																									|-Branch two:
% 41.04/12.88  																																									| (387)  ~ (all_0_86_86 = e1)
% 41.04/12.88  																																									| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 41.04/12.88  																																									|
% 41.04/12.88  																																										+-Applying beta-rule and splitting (2122), into two cases.
% 41.04/12.88  																																										|-Branch one:
% 41.04/12.88  																																										| (750) all_0_90_90 = e1
% 41.04/12.88  																																										|
% 41.04/12.88  																																											| Equations (750) can reduce 103 to:
% 41.04/12.88  																																											| (1669)  ~ (all_0_91_91 = e1)
% 41.04/12.88  																																											|
% 41.04/12.88  																																											| Simplifying 1669 yields:
% 41.04/12.88  																																											| (959)  ~ (all_0_91_91 = e1)
% 41.04/12.88  																																											|
% 41.04/12.88  																																											| Equations (750) can reduce 229 to:
% 41.04/12.88  																																											| (679)  ~ (all_0_95_95 = e1)
% 41.04/12.88  																																											|
% 41.04/12.88  																																											| Simplifying 679 yields:
% 41.04/12.88  																																											| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.88  																																											|
% 41.04/12.88  																																											+-Applying beta-rule and splitting (377), into two cases.
% 41.04/12.88  																																											|-Branch one:
% 41.04/12.88  																																											| (482) all_0_87_87 = e1
% 41.04/12.88  																																											|
% 41.04/12.88  																																												| Equations (482) can reduce 625 to:
% 41.04/12.88  																																												| (311) $false
% 41.04/12.88  																																												|
% 41.04/12.88  																																												|-The branch is then unsatisfiable
% 41.04/12.88  																																											|-Branch two:
% 41.04/12.88  																																											| (625)  ~ (all_0_87_87 = e1)
% 41.04/12.88  																																											| (861) all_0_87_87 = e0
% 41.04/12.88  																																											|
% 41.04/12.88  																																												| Equations (861) can reduce 181 to:
% 41.04/12.88  																																												| (2507)  ~ (all_0_88_88 = e0)
% 41.04/12.88  																																												|
% 41.04/12.88  																																												| Simplifying 2507 yields:
% 41.04/12.88  																																												| (1110)  ~ (all_0_88_88 = e0)
% 41.04/12.88  																																												|
% 41.04/12.88  																																												| Equations (861) can reduce 349 to:
% 41.04/12.88  																																												| (510)  ~ (e2 = e0)
% 41.04/12.88  																																												|
% 41.04/12.88  																																												| Simplifying 510 yields:
% 41.04/12.88  																																												| (76)  ~ (e2 = e0)
% 41.04/12.88  																																												|
% 41.04/12.88  																																												+-Applying beta-rule and splitting (770), into two cases.
% 41.04/12.88  																																												|-Branch one:
% 41.04/12.88  																																												| (785) all_0_95_95 = e1
% 41.04/12.88  																																												|
% 41.04/12.89  																																													| Equations (785) can reduce 680 to:
% 41.04/12.89  																																													| (311) $false
% 41.04/12.89  																																													|
% 41.04/12.89  																																													|-The branch is then unsatisfiable
% 41.04/12.89  																																												|-Branch two:
% 41.04/12.89  																																												| (680)  ~ (all_0_95_95 = e1)
% 41.04/12.89  																																												| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 41.04/12.89  																																												|
% 41.04/12.89  																																													+-Applying beta-rule and splitting (766), into two cases.
% 41.04/12.89  																																													|-Branch one:
% 41.04/12.89  																																													| (778) all_0_96_96 = e3
% 41.04/12.89  																																													|
% 41.04/12.89  																																														| Equations (778) can reduce 64 to:
% 41.04/12.89  																																														| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.89  																																														|
% 41.04/12.89  																																														| Equations (778) can reduce 1479 to:
% 41.04/12.89  																																														| (20)  ~ (e3 = e1)
% 41.04/12.89  																																														|
% 41.04/12.89  																																														+-Applying beta-rule and splitting (282), into two cases.
% 41.04/12.89  																																														|-Branch one:
% 41.04/12.89  																																														| (754) all_0_90_90 = e3
% 41.04/12.89  																																														|
% 41.04/12.89  																																															| Combining equations (750,754) yields a new equation:
% 41.04/12.89  																																															| (772) e3 = e1
% 41.04/12.89  																																															|
% 41.04/12.89  																																															| Equations (772) can reduce 20 to:
% 41.04/12.89  																																															| (311) $false
% 41.04/12.89  																																															|
% 41.04/12.89  																																															|-The branch is then unsatisfiable
% 41.04/12.89  																																														|-Branch two:
% 41.04/12.89  																																														| (745)  ~ (all_0_90_90 = e3)
% 41.04/12.89  																																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.04/12.89  																																														|
% 41.04/12.89  																																															+-Applying beta-rule and splitting (373), into two cases.
% 41.04/12.89  																																															|-Branch one:
% 41.04/12.89  																																															| (504) all_0_88_88 = e1
% 41.04/12.89  																																															|
% 41.04/12.89  																																																| Equations (504) can reduce 78 to:
% 41.04/12.89  																																																| (128)  ~ (all_0_85_85 = e1)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| Equations (504) can reduce 286 to:
% 41.04/12.89  																																																| (480)  ~ (all_0_93_93 = e1)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| Simplifying 480 yields:
% 41.04/12.89  																																																| (481)  ~ (all_0_93_93 = e1)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| Equations (504) can reduce 351 to:
% 41.04/12.89  																																																| (487)  ~ (e2 = e1)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| Simplifying 487 yields:
% 41.04/12.89  																																																| (243)  ~ (e2 = e1)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| Equations (504) can reduce 1110 to:
% 41.04/12.89  																																																| (264)  ~ (e1 = e0)
% 41.04/12.89  																																																|
% 41.04/12.89  																																																| From (504) and (239) follows:
% 41.04/12.89  																																																| (2530) op(e0, e1) = all_0_73_73
% 41.04/12.89  																																																|
% 41.04/12.89  																																																+-Applying beta-rule and splitting (849), into two cases.
% 41.04/12.89  																																																|-Branch one:
% 41.04/12.89  																																																| (588) all_0_91_91 = e3
% 41.04/12.89  																																																|
% 41.04/12.89  																																																	| Equations (588) can reduce 571 to:
% 41.04/12.89  																																																	| (311) $false
% 41.04/12.89  																																																	|
% 41.04/12.89  																																																	|-The branch is then unsatisfiable
% 41.04/12.89  																																																|-Branch two:
% 41.04/12.89  																																																| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.89  																																																| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.04/12.89  																																																|
% 41.04/12.89  																																																	+-Applying beta-rule and splitting (881), into two cases.
% 41.04/12.89  																																																	|-Branch one:
% 41.04/12.89  																																																	| (882) all_0_92_92 = e3
% 41.04/12.89  																																																	|
% 41.04/12.89  																																																		| Equations (882) can reduce 87 to:
% 41.04/12.89  																																																		| (422)  ~ (all_0_84_84 = e3)
% 41.04/12.89  																																																		|
% 41.04/12.89  																																																		| Equations (882) can reduce 265 to:
% 41.04/12.89  																																																		| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.89  																																																		|
% 41.04/12.89  																																																		| Equations (882) can reduce 298 to:
% 41.04/12.89  																																																		| (169)  ~ (e3 = e2)
% 41.04/12.89  																																																		|
% 41.04/12.89  																																																		+-Applying beta-rule and splitting (210), into two cases.
% 41.04/12.89  																																																		|-Branch one:
% 41.04/12.89  																																																		| (433) all_0_80_80 = e4
% 41.04/12.89  																																																		|
% 41.04/12.89  																																																			| Combining equations (546,433) yields a new equation:
% 41.04/12.89  																																																			| (310) e4 = e2
% 41.04/12.89  																																																			|
% 41.04/12.89  																																																			| Equations (310) can reduce 79 to:
% 41.04/12.89  																																																			| (311) $false
% 41.04/12.89  																																																			|
% 41.04/12.89  																																																			|-The branch is then unsatisfiable
% 41.04/12.89  																																																		|-Branch two:
% 41.04/12.89  																																																		| (436)  ~ (all_0_80_80 = e4)
% 41.04/12.89  																																																		| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 41.04/12.89  																																																		|
% 41.04/12.89  																																																			+-Applying beta-rule and splitting (915), into two cases.
% 41.04/12.89  																																																			|-Branch one:
% 41.04/12.89  																																																			| (378) all_0_86_86 = e0
% 41.04/12.89  																																																			|
% 41.04/12.89  																																																				| Combining equations (345,378) yields a new equation:
% 41.04/12.89  																																																				| (923) e2 = e0
% 41.04/12.89  																																																				|
% 41.04/12.89  																																																				| Simplifying 923 yields:
% 41.04/12.89  																																																				| (379) e2 = e0
% 41.04/12.89  																																																				|
% 41.04/12.89  																																																				| Equations (379) can reduce 76 to:
% 41.04/12.89  																																																				| (311) $false
% 41.04/12.89  																																																				|
% 41.04/12.89  																																																				|-The branch is then unsatisfiable
% 41.04/12.89  																																																			|-Branch two:
% 41.04/12.89  																																																			| (381)  ~ (all_0_86_86 = e0)
% 41.04/12.89  																																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.04/12.89  																																																			|
% 41.04/12.89  																																																				+-Applying beta-rule and splitting (437), into two cases.
% 41.04/12.89  																																																				|-Branch one:
% 41.04/12.89  																																																				| (438) all_0_84_84 = e4
% 41.04/12.89  																																																				|
% 41.04/12.89  																																																					| Equations (438) can reduce 154 to:
% 41.04/12.89  																																																					| (647)  ~ (all_0_85_85 = e4)
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																					| Simplifying 647 yields:
% 41.04/12.89  																																																					| (648)  ~ (all_0_85_85 = e4)
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																					| Equations (438) can reduce 422 to:
% 41.04/12.89  																																																					| (177)  ~ (e4 = e3)
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																					| Equations (438) can reduce 612 to:
% 41.04/12.89  																																																					| (79)  ~ (e4 = e2)
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																					+-Applying beta-rule and splitting (168), into two cases.
% 41.04/12.89  																																																					|-Branch one:
% 41.04/12.89  																																																					| (638) all_0_81_81 = e4
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																						| Combining equations (635,638) yields a new equation:
% 41.04/12.89  																																																						| (434) e4 = e3
% 41.04/12.89  																																																						|
% 41.04/12.89  																																																						| Equations (434) can reduce 177 to:
% 41.04/12.89  																																																						| (311) $false
% 41.04/12.89  																																																						|
% 41.04/12.89  																																																						|-The branch is then unsatisfiable
% 41.04/12.89  																																																					|-Branch two:
% 41.04/12.89  																																																					| (634)  ~ (all_0_81_81 = e4)
% 41.04/12.89  																																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 41.04/12.89  																																																					|
% 41.04/12.89  																																																						+-Applying beta-rule and splitting (927), into two cases.
% 41.04/12.89  																																																						|-Branch one:
% 41.04/12.89  																																																						| (758) all_0_90_90 = e0
% 41.04/12.89  																																																						|
% 41.04/12.89  																																																							| Combining equations (750,758) yields a new equation:
% 41.04/12.89  																																																							| (1107) e1 = e0
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Simplifying 1107 yields:
% 41.04/12.89  																																																							| (865) e1 = e0
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Equations (865) can reduce 264 to:
% 41.04/12.89  																																																							| (311) $false
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							|-The branch is then unsatisfiable
% 41.04/12.89  																																																						|-Branch two:
% 41.04/12.89  																																																						| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.89  																																																						| (858) all_0_95_95 = e0
% 41.04/12.89  																																																						|
% 41.04/12.89  																																																							| Combining equations (858,2409) yields a new equation:
% 41.04/12.89  																																																							| (2566) all_0_69_69 = e0
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Equations (858) can reduce 315 to:
% 41.04/12.89  																																																							| (904)  ~ (e4 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Simplifying 904 yields:
% 41.04/12.89  																																																							| (23)  ~ (e4 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Equations (858) can reduce 355 to:
% 41.04/12.89  																																																							| (510)  ~ (e2 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Simplifying 510 yields:
% 41.04/12.89  																																																							| (76)  ~ (e2 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Equations (858) can reduce 680 to:
% 41.04/12.89  																																																							| (859)  ~ (e1 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							| Simplifying 859 yields:
% 41.04/12.89  																																																							| (264)  ~ (e1 = e0)
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																							+-Applying beta-rule and splitting (2559), into two cases.
% 41.04/12.89  																																																							|-Branch one:
% 41.04/12.89  																																																							| (493) all_0_85_85 = e4
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																								| Equations (493) can reduce 648 to:
% 41.04/12.89  																																																								| (311) $false
% 41.04/12.89  																																																								|
% 41.04/12.89  																																																								|-The branch is then unsatisfiable
% 41.04/12.89  																																																							|-Branch two:
% 41.04/12.89  																																																							| (648)  ~ (all_0_85_85 = e4)
% 41.04/12.89  																																																							| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 41.04/12.89  																																																							|
% 41.04/12.89  																																																								+-Applying beta-rule and splitting (2576), into two cases.
% 41.04/12.89  																																																								|-Branch one:
% 41.04/12.89  																																																								| (607) all_0_93_93 = e4
% 41.04/12.89  																																																								|
% 41.04/12.89  																																																									| Equations (607) can reduce 44 to:
% 41.04/12.89  																																																									| (133)  ~ (all_0_91_91 = e4)
% 41.04/12.89  																																																									|
% 41.04/12.89  																																																									| Equations (607) can reduce 481 to:
% 41.04/12.89  																																																									| (256)  ~ (e4 = e1)
% 41.04/12.89  																																																									|
% 41.04/12.89  																																																									| From (607) and (173) follows:
% 41.04/12.89  																																																									| (1935) op(e0, e4) = all_0_75_75
% 41.04/12.89  																																																									|
% 41.04/12.89  																																																									+-Applying beta-rule and splitting (289), into two cases.
% 41.04/12.89  																																																									|-Branch one:
% 41.04/12.89  																																																									| (954) all_0_85_85 = e0
% 41.04/12.89  																																																									|
% 41.04/12.89  																																																										| Equations (954) can reduce 128 to:
% 41.04/12.89  																																																										| (859)  ~ (e1 = e0)
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																										| Simplifying 859 yields:
% 41.04/12.89  																																																										| (264)  ~ (e1 = e0)
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																										| From (954) and (26) follows:
% 41.04/12.89  																																																										| (2584) op(e0, e0) = all_0_71_71
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																										+-Applying beta-rule and splitting (291), into two cases.
% 41.04/12.89  																																																										|-Branch one:
% 41.04/12.89  																																																										| (758) all_0_90_90 = e0
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																											| Combining equations (750,758) yields a new equation:
% 41.04/12.89  																																																											| (1107) e1 = e0
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											| Simplifying 1107 yields:
% 41.04/12.89  																																																											| (865) e1 = e0
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											| Equations (865) can reduce 264 to:
% 41.04/12.89  																																																											| (311) $false
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											|-The branch is then unsatisfiable
% 41.04/12.89  																																																										|-Branch two:
% 41.04/12.89  																																																										| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.89  																																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																											+-Applying beta-rule and splitting (1726), into two cases.
% 41.04/12.89  																																																											|-Branch one:
% 41.04/12.89  																																																											| (801) all_0_91_91 = e1
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																												| Equations (801) can reduce 959 to:
% 41.04/12.89  																																																												| (311) $false
% 41.04/12.89  																																																												|
% 41.04/12.89  																																																												|-The branch is then unsatisfiable
% 41.04/12.89  																																																											|-Branch two:
% 41.04/12.89  																																																											| (959)  ~ (all_0_91_91 = e1)
% 41.04/12.89  																																																											| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																												+-Applying beta-rule and splitting (1455), into two cases.
% 41.04/12.89  																																																												|-Branch one:
% 41.04/12.89  																																																												| (1456) all_0_91_91 = e0
% 41.04/12.89  																																																												|
% 41.04/12.89  																																																													| Equations (1456) can reduce 133 to:
% 41.04/12.89  																																																													| (904)  ~ (e4 = e0)
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Simplifying 904 yields:
% 41.04/12.89  																																																													| (23)  ~ (e4 = e0)
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 41.04/12.89  																																																													| (1966) all_0_75_75 = e4
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Instantiating formula (262) with e0, e1, all_0_73_73, all_0_68_68 and discharging atoms op(e0, e1) = all_0_68_68, op(e0, e1) = all_0_73_73, yields:
% 41.04/12.89  																																																													| (2599) all_0_68_68 = all_0_73_73
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Instantiating formula (262) with e0, e1, e1, all_0_68_68 and discharging atoms op(e0, e1) = all_0_68_68, op(e0, e1) = e1, yields:
% 41.04/12.89  																																																													| (1419) all_0_68_68 = e1
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Instantiating formula (262) with e0, e0, all_0_71_71, e2 and discharging atoms op(e0, e0) = all_0_71_71, op(e0, e0) = e2, yields:
% 41.04/12.89  																																																													| (2601) all_0_71_71 = e2
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													| Combining equations (1419,2599) yields a new equation:
% 41.04/12.89  																																																													| (2602) all_0_73_73 = e1
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																													+-Applying beta-rule and splitting (89), into two cases.
% 41.04/12.89  																																																													|-Branch one:
% 41.04/12.89  																																																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																														+-Applying beta-rule and splitting (1373), into two cases.
% 41.04/12.89  																																																														|-Branch one:
% 41.04/12.89  																																																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																															+-Applying beta-rule and splitting (1374), into two cases.
% 41.04/12.89  																																																															|-Branch one:
% 41.04/12.89  																																																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 41.04/12.89  																																																															|
% 41.04/12.89  																																																																| Applying alpha-rule on (1375) yields:
% 41.04/12.89  																																																																| (1376) all_0_69_69 = e4
% 41.04/12.89  																																																																| (1377)  ~ (all_0_70_70 = e0)
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																| Combining equations (2566,1376) yields a new equation:
% 41.04/12.89  																																																																| (912) e4 = e0
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																| Equations (912) can reduce 23 to:
% 41.04/12.89  																																																																| (311) $false
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																|-The branch is then unsatisfiable
% 41.04/12.89  																																																															|-Branch two:
% 41.04/12.89  																																																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 41.04/12.89  																																																															|
% 41.04/12.89  																																																																| Applying alpha-rule on (1379) yields:
% 41.04/12.89  																																																																| (1380) all_0_71_71 = e3
% 41.04/12.89  																																																																| (1381)  ~ (all_0_72_72 = e0)
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																| Combining equations (2601,1380) yields a new equation:
% 41.04/12.89  																																																																| (548) e3 = e2
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																| Equations (548) can reduce 169 to:
% 41.04/12.89  																																																																| (311) $false
% 41.04/12.89  																																																																|
% 41.04/12.89  																																																																|-The branch is then unsatisfiable
% 41.04/12.89  																																																														|-Branch two:
% 41.04/12.89  																																																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																															| Applying alpha-rule on (1385) yields:
% 41.04/12.89  																																																															| (1386) all_0_73_73 = e2
% 41.04/12.89  																																																															| (1387)  ~ (all_0_74_74 = e0)
% 41.04/12.89  																																																															|
% 41.04/12.89  																																																															| Combining equations (2602,1386) yields a new equation:
% 41.04/12.89  																																																															| (385) e2 = e1
% 41.04/12.89  																																																															|
% 41.04/12.89  																																																															| Equations (385) can reduce 243 to:
% 41.04/12.89  																																																															| (311) $false
% 41.04/12.89  																																																															|
% 41.04/12.89  																																																															|-The branch is then unsatisfiable
% 41.04/12.89  																																																													|-Branch two:
% 41.04/12.89  																																																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																														| Applying alpha-rule on (1391) yields:
% 41.04/12.89  																																																														| (1392) all_0_75_75 = e1
% 41.04/12.89  																																																														| (1393)  ~ (all_0_76_76 = e0)
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																														| Combining equations (1392,1966) yields a new equation:
% 41.04/12.89  																																																														| (814) e4 = e1
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																														| Equations (814) can reduce 256 to:
% 41.04/12.89  																																																														| (311) $false
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																														|-The branch is then unsatisfiable
% 41.04/12.89  																																																												|-Branch two:
% 41.04/12.89  																																																												| (1487)  ~ (all_0_91_91 = e0)
% 41.04/12.89  																																																												| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 41.04/12.89  																																																												|
% 41.04/12.89  																																																													+-Applying beta-rule and splitting (1880), into two cases.
% 41.04/12.89  																																																													|-Branch one:
% 41.04/12.89  																																																													| (588) all_0_91_91 = e3
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																														| Equations (588) can reduce 571 to:
% 41.04/12.89  																																																														| (311) $false
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																														|-The branch is then unsatisfiable
% 41.04/12.89  																																																													|-Branch two:
% 41.04/12.89  																																																													| (571)  ~ (all_0_91_91 = e3)
% 41.04/12.89  																																																													| (1456) all_0_91_91 = e0
% 41.04/12.89  																																																													|
% 41.04/12.89  																																																														| Equations (1456) can reduce 1487 to:
% 41.04/12.89  																																																														| (311) $false
% 41.04/12.89  																																																														|
% 41.04/12.89  																																																														|-The branch is then unsatisfiable
% 41.04/12.89  																																																									|-Branch two:
% 41.04/12.89  																																																									| (800)  ~ (all_0_85_85 = e0)
% 41.04/12.89  																																																									| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 41.04/12.89  																																																									|
% 41.04/12.89  																																																										+-Applying beta-rule and splitting (1077), into two cases.
% 41.04/12.89  																																																										|-Branch one:
% 41.04/12.89  																																																										| (507) all_0_88_88 = e0
% 41.04/12.89  																																																										|
% 41.04/12.89  																																																											| Combining equations (504,507) yields a new equation:
% 41.04/12.89  																																																											| (1107) e1 = e0
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											| Simplifying 1107 yields:
% 41.04/12.89  																																																											| (865) e1 = e0
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											| Equations (865) can reduce 264 to:
% 41.04/12.89  																																																											| (311) $false
% 41.04/12.89  																																																											|
% 41.04/12.89  																																																											|-The branch is then unsatisfiable
% 41.04/12.89  																																																										|-Branch two:
% 41.04/12.90  																																																										| (1110)  ~ (all_0_88_88 = e0)
% 41.04/12.90  																																																										| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 41.04/12.90  																																																										|
% 41.04/12.90  																																																											+-Applying beta-rule and splitting (1111), into two cases.
% 41.04/12.90  																																																											|-Branch one:
% 41.04/12.90  																																																											| (604) all_0_93_93 = e0
% 41.04/12.90  																																																											|
% 41.04/12.90  																																																												| Combining equations (607,604) yields a new equation:
% 41.04/12.90  																																																												| (911) e4 = e0
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												| Simplifying 911 yields:
% 41.04/12.90  																																																												| (912) e4 = e0
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												| Equations (912) can reduce 23 to:
% 41.04/12.90  																																																												| (311) $false
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												|-The branch is then unsatisfiable
% 41.04/12.90  																																																											|-Branch two:
% 41.04/12.90  																																																											| (509)  ~ (all_0_93_93 = e0)
% 41.04/12.90  																																																											| (1121) all_0_98_98 = e0
% 41.04/12.90  																																																											|
% 41.04/12.90  																																																												| Combining equations (525,1121) yields a new equation:
% 41.04/12.90  																																																												| (923) e2 = e0
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												| Simplifying 923 yields:
% 41.04/12.90  																																																												| (379) e2 = e0
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												| Equations (379) can reduce 76 to:
% 41.04/12.90  																																																												| (311) $false
% 41.04/12.90  																																																												|
% 41.04/12.90  																																																												|-The branch is then unsatisfiable
% 41.04/12.90  																																																								|-Branch two:
% 41.04/12.90  																																																								| (496)  ~ (all_0_93_93 = e4)
% 41.04/12.90  																																																								| (2650) all_0_98_98 = e4
% 41.04/12.90  																																																								|
% 41.04/12.90  																																																									| Combining equations (2650,525) yields a new equation:
% 41.04/12.90  																																																									| (309) e4 = e2
% 41.04/12.90  																																																									|
% 41.04/12.90  																																																									| Simplifying 309 yields:
% 41.04/12.90  																																																									| (310) e4 = e2
% 41.04/12.90  																																																									|
% 41.04/12.90  																																																									| Equations (310) can reduce 79 to:
% 41.04/12.90  																																																									| (311) $false
% 41.04/12.90  																																																									|
% 41.04/12.90  																																																									|-The branch is then unsatisfiable
% 41.04/12.90  																																																				|-Branch two:
% 41.04/12.90  																																																				| (417)  ~ (all_0_84_84 = e4)
% 41.04/12.90  																																																				| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 41.04/12.90  																																																				|
% 41.04/12.90  																																																					+-Applying beta-rule and splitting (472), into two cases.
% 41.04/12.90  																																																					|-Branch one:
% 41.04/12.90  																																																					| (438) all_0_84_84 = e4
% 41.04/12.90  																																																					|
% 41.04/12.90  																																																						| Equations (438) can reduce 417 to:
% 41.04/12.90  																																																						| (311) $false
% 41.04/12.90  																																																						|
% 41.04/12.90  																																																						|-The branch is then unsatisfiable
% 41.04/12.90  																																																					|-Branch two:
% 41.04/12.90  																																																					| (417)  ~ (all_0_84_84 = e4)
% 41.04/12.90  																																																					| (493) all_0_85_85 = e4
% 41.04/12.90  																																																					|
% 41.04/12.90  																																																						| Equations (493) can reduce 952 to:
% 41.04/12.90  																																																						| (177)  ~ (e4 = e3)
% 41.04/12.90  																																																						|
% 41.04/12.90  																																																						| Equations (493) can reduce 128 to:
% 41.04/12.90  																																																						| (256)  ~ (e4 = e1)
% 41.04/12.90  																																																						|
% 41.04/12.90  																																																						+-Applying beta-rule and splitting (441), into two cases.
% 41.04/12.90  																																																						|-Branch one:
% 41.04/12.90  																																																						| (442) all_0_92_92 = e4
% 41.04/12.90  																																																						|
% 41.04/12.90  																																																							| Combining equations (442,882) yields a new equation:
% 41.04/12.90  																																																							| (790) e4 = e3
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							| Simplifying 790 yields:
% 41.04/12.90  																																																							| (434) e4 = e3
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							| Equations (434) can reduce 177 to:
% 41.04/12.90  																																																							| (311) $false
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							|-The branch is then unsatisfiable
% 41.04/12.90  																																																						|-Branch two:
% 41.04/12.90  																																																						| (1619)  ~ (all_0_92_92 = e4)
% 41.04/12.90  																																																						| (610) all_0_97_97 = e4
% 41.04/12.90  																																																						|
% 41.04/12.90  																																																							| Combining equations (610,542) yields a new equation:
% 41.04/12.90  																																																							| (813) e4 = e1
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							| Simplifying 813 yields:
% 41.04/12.90  																																																							| (814) e4 = e1
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							| Equations (814) can reduce 256 to:
% 41.04/12.90  																																																							| (311) $false
% 41.04/12.90  																																																							|
% 41.04/12.90  																																																							|-The branch is then unsatisfiable
% 41.04/12.90  																																																	|-Branch two:
% 41.04/12.90  																																																	| (426)  ~ (all_0_92_92 = e3)
% 41.04/12.90  																																																	| (570) all_0_93_93 = e3
% 41.04/12.90  																																																	|
% 41.04/12.90  																																																		| Equations (570) can reduce 602 to:
% 41.04/12.90  																																																		| (311) $false
% 41.04/12.90  																																																		|
% 41.04/12.90  																																																		|-The branch is then unsatisfiable
% 41.04/12.90  																																															|-Branch two:
% 41.04/12.90  																																															| (479)  ~ (all_0_88_88 = e1)
% 41.04/12.90  																																															| (507) all_0_88_88 = e0
% 41.04/12.90  																																															|
% 41.04/12.90  																																																| Equations (507) can reduce 1110 to:
% 41.04/12.90  																																																| (311) $false
% 41.04/12.90  																																																|
% 41.04/12.90  																																																|-The branch is then unsatisfiable
% 41.04/12.90  																																													|-Branch two:
% 41.04/12.90  																																													| (964)  ~ (all_0_96_96 = e3)
% 41.04/12.90  																																													| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 41.04/12.90  																																													|
% 41.04/12.90  																																														+-Applying beta-rule and splitting (373), into two cases.
% 41.04/12.90  																																														|-Branch one:
% 41.04/12.90  																																														| (504) all_0_88_88 = e1
% 41.04/12.90  																																														|
% 41.04/12.90  																																															| Equations (504) can reduce 191 to:
% 41.04/12.90  																																															| (683)  ~ (e3 = e1)
% 41.04/12.90  																																															|
% 41.04/12.90  																																															| Simplifying 683 yields:
% 41.04/12.90  																																															| (20)  ~ (e3 = e1)
% 41.04/12.90  																																															|
% 41.04/12.90  																																															+-Applying beta-rule and splitting (965), into two cases.
% 41.04/12.90  																																															|-Branch one:
% 41.04/12.90  																																															| (556) all_0_97_97 = e3
% 41.04/12.90  																																															|
% 41.04/12.90  																																																| Combining equations (542,556) yields a new equation:
% 41.04/12.90  																																																| (772) e3 = e1
% 41.04/12.90  																																																|
% 41.04/12.90  																																																| Equations (772) can reduce 20 to:
% 41.04/12.90  																																																| (311) $false
% 41.04/12.90  																																																|
% 41.04/12.90  																																																|-The branch is then unsatisfiable
% 41.04/12.90  																																															|-Branch two:
% 41.04/12.90  																																															| (428)  ~ (all_0_97_97 = e3)
% 41.04/12.90  																																															| (969) all_0_98_98 = e3
% 41.04/12.90  																																															|
% 41.04/12.90  																																																| Combining equations (969,525) yields a new equation:
% 41.04/12.90  																																																| (547) e3 = e2
% 41.04/12.90  																																																|
% 41.04/12.90  																																																| Simplifying 547 yields:
% 41.04/12.90  																																																| (548) e3 = e2
% 41.04/12.90  																																																|
% 41.04/12.90  																																																| Equations (548) can reduce 169 to:
% 41.04/12.90  																																																| (311) $false
% 41.04/12.90  																																																|
% 41.04/12.90  																																																|-The branch is then unsatisfiable
% 41.04/12.90  																																														|-Branch two:
% 41.04/12.90  																																														| (479)  ~ (all_0_88_88 = e1)
% 41.04/12.90  																																														| (507) all_0_88_88 = e0
% 41.04/12.90  																																														|
% 41.04/12.90  																																															| Equations (507) can reduce 1110 to:
% 41.04/12.90  																																															| (311) $false
% 41.04/12.90  																																															|
% 41.04/12.90  																																															|-The branch is then unsatisfiable
% 41.04/12.90  																																										|-Branch two:
% 41.04/12.90  																																										| (678)  ~ (all_0_90_90 = e1)
% 41.04/12.90  																																										| (785) all_0_95_95 = e1
% 41.04/12.90  																																										|
% 41.04/12.90  																																											| Equations (785) can reduce 680 to:
% 41.04/12.90  																																											| (311) $false
% 41.04/12.90  																																											|
% 41.04/12.90  																																											|-The branch is then unsatisfiable
% 41.04/12.90  																																					|-Branch two:
% 41.04/12.90  																																					| (486)  ~ (all_0_97_97 = e1)
% 41.04/12.90  																																					| (1543) all_0_98_98 = e1
% 41.04/12.90  																																					|
% 41.04/12.90  																																						| Combining equations (525,1543) yields a new equation:
% 41.04/12.90  																																						| (408) e2 = e1
% 41.04/12.90  																																						|
% 41.04/12.90  																																						| Simplifying 408 yields:
% 41.04/12.90  																																						| (385) e2 = e1
% 41.04/12.90  																																						|
% 41.04/12.90  																																						| Equations (385) can reduce 243 to:
% 41.04/12.90  																																						| (311) $false
% 41.04/12.90  																																						|
% 41.04/12.90  																																						|-The branch is then unsatisfiable
% 41.04/12.90  																																|-Branch two:
% 41.04/12.90  																																| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.90  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.90  																																|
% 41.04/12.90  																																	+-Applying beta-rule and splitting (2205), into two cases.
% 41.04/12.90  																																	|-Branch one:
% 41.04/12.90  																																	| (789) all_0_82_82 = e3
% 41.04/12.90  																																	|
% 41.04/12.90  																																		| Equations (789) can reduce 793 to:
% 41.04/12.90  																																		| (311) $false
% 41.04/12.90  																																		|
% 41.04/12.90  																																		|-The branch is then unsatisfiable
% 41.04/12.90  																																	|-Branch two:
% 41.04/12.90  																																	| (793)  ~ (all_0_82_82 = e3)
% 41.04/12.90  																																	| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 41.04/12.90  																																	|
% 41.04/12.90  																																		+-Applying beta-rule and splitting (2706), into two cases.
% 41.04/12.90  																																		|-Branch one:
% 41.04/12.90  																																		| (910) all_0_82_82 = e0
% 41.04/12.90  																																		|
% 41.04/12.90  																																			| Equations (910) can reduce 209 to:
% 41.04/12.90  																																			| (799)  ~ (all_0_85_85 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			| Simplifying 799 yields:
% 41.04/12.90  																																			| (800)  ~ (all_0_85_85 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			| Equations (910) can reduce 255 to:
% 41.04/12.90  																																			| (2710)  ~ (all_0_90_90 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			| Simplifying 2710 yields:
% 41.04/12.90  																																			| (762)  ~ (all_0_90_90 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			| Equations (910) can reduce 200 to:
% 41.04/12.90  																																			| (2712)  ~ (all_0_95_95 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			| Simplifying 2712 yields:
% 41.04/12.90  																																			| (893)  ~ (all_0_95_95 = e0)
% 41.04/12.90  																																			|
% 41.04/12.90  																																			+-Applying beta-rule and splitting (1296), into two cases.
% 41.04/12.90  																																			|-Branch one:
% 41.04/12.90  																																			| (795) all_0_83_83 = e3
% 41.04/12.90  																																			|
% 41.04/12.90  																																				| Combining equations (453,795) yields a new equation:
% 41.04/12.90  																																				| (548) e3 = e2
% 41.04/12.90  																																				|
% 41.04/12.90  																																				| Equations (548) can reduce 169 to:
% 41.04/12.90  																																				| (311) $false
% 41.04/12.90  																																				|
% 41.04/12.90  																																				|-The branch is then unsatisfiable
% 41.04/12.90  																																			|-Branch two:
% 41.04/12.90  																																			| (779)  ~ (all_0_83_83 = e3)
% 41.04/12.90  																																			| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 41.04/12.90  																																			|
% 41.04/12.90  																																				+-Applying beta-rule and splitting (182), into two cases.
% 41.04/12.90  																																				|-Branch one:
% 41.04/12.90  																																				| (512) all_0_85_85 = e2
% 41.04/12.90  																																				|
% 41.04/12.90  																																					| Equations (512) can reduce 515 to:
% 41.04/12.90  																																					| (311) $false
% 41.04/12.90  																																					|
% 41.04/12.90  																																					|-The branch is then unsatisfiable
% 41.04/12.90  																																				|-Branch two:
% 41.04/12.90  																																				| (515)  ~ (all_0_85_85 = e2)
% 41.04/12.90  																																				| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 41.04/12.90  																																				|
% 41.04/12.90  																																					+-Applying beta-rule and splitting (725), into two cases.
% 41.04/12.90  																																					|-Branch one:
% 41.04/12.90  																																					| (804) all_0_85_85 = e3
% 41.04/12.90  																																					|
% 41.04/12.90  																																						| Equations (804) can reduce 952 to:
% 41.04/12.90  																																						| (311) $false
% 41.04/12.90  																																						|
% 41.04/12.90  																																						|-The branch is then unsatisfiable
% 41.04/12.90  																																					|-Branch two:
% 41.04/12.90  																																					| (952)  ~ (all_0_85_85 = e3)
% 41.04/12.90  																																					| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 41.04/12.90  																																					|
% 41.04/12.90  																																						+-Applying beta-rule and splitting (1594), into two cases.
% 41.04/12.90  																																						|-Branch one:
% 41.04/12.90  																																						| (1265) all_0_84_84 = e3
% 41.04/12.90  																																						|
% 41.04/12.90  																																							| Equations (1265) can reduce 87 to:
% 41.04/12.90  																																							| (425)  ~ (all_0_92_92 = e3)
% 41.04/12.90  																																							|
% 41.04/12.90  																																							| Simplifying 425 yields:
% 41.04/12.90  																																							| (426)  ~ (all_0_92_92 = e3)
% 41.04/12.90  																																							|
% 41.04/12.90  																																							| Equations (1265) can reduce 259 to:
% 41.04/12.90  																																							| (20)  ~ (e3 = e1)
% 41.04/12.90  																																							|
% 41.04/12.90  																																							+-Applying beta-rule and splitting (953), into two cases.
% 41.04/12.90  																																							|-Branch one:
% 41.04/12.90  																																							| (954) all_0_85_85 = e0
% 41.04/12.90  																																							|
% 41.04/12.90  																																								| Equations (954) can reduce 800 to:
% 41.04/12.90  																																								| (311) $false
% 41.04/12.90  																																								|
% 41.04/12.90  																																								|-The branch is then unsatisfiable
% 41.04/12.90  																																							|-Branch two:
% 41.04/12.90  																																							| (800)  ~ (all_0_85_85 = e0)
% 41.04/12.90  																																							| (493) all_0_85_85 = e4
% 41.04/12.90  																																							|
% 41.04/12.90  																																								| Equations (493) can reduce 78 to:
% 41.04/12.90  																																								| (649)  ~ (all_0_88_88 = e4)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Simplifying 649 yields:
% 41.04/12.90  																																								| (93)  ~ (all_0_88_88 = e4)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Equations (493) can reduce 201 to:
% 41.04/12.90  																																								| (495)  ~ (all_0_93_93 = e4)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Simplifying 495 yields:
% 41.04/12.90  																																								| (496)  ~ (all_0_93_93 = e4)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Equations (493) can reduce 515 to:
% 41.04/12.90  																																								| (79)  ~ (e4 = e2)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Equations (493) can reduce 128 to:
% 41.04/12.90  																																								| (256)  ~ (e4 = e1)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| Equations (493) can reduce 800 to:
% 41.04/12.90  																																								| (23)  ~ (e4 = e0)
% 41.04/12.90  																																								|
% 41.04/12.90  																																								| From (493) and (26) follows:
% 41.04/12.90  																																								| (2742) op(e0, e4) = all_0_71_71
% 41.04/12.90  																																								|
% 41.04/12.90  																																								+-Applying beta-rule and splitting (46), into two cases.
% 41.04/12.90  																																								|-Branch one:
% 41.04/12.90  																																								| (308) all_0_89_89 = e4
% 41.04/12.90  																																								|
% 41.04/12.90  																																									| Combining equations (292,308) yields a new equation:
% 41.04/12.90  																																									| (310) e4 = e2
% 41.04/12.90  																																									|
% 41.04/12.90  																																									| Equations (310) can reduce 79 to:
% 41.04/12.90  																																									| (311) $false
% 41.04/12.90  																																									|
% 41.04/12.90  																																									|-The branch is then unsatisfiable
% 41.04/12.90  																																								|-Branch two:
% 41.04/12.90  																																								| (312)  ~ (all_0_89_89 = e4)
% 41.04/12.90  																																								| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 41.04/12.90  																																								|
% 41.04/12.90  																																									+-Applying beta-rule and splitting (1915), into two cases.
% 41.04/12.90  																																									|-Branch one:
% 41.04/12.90  																																									| (583) all_0_90_90 = e4
% 41.04/12.90  																																									|
% 41.04/12.90  																																										| Equations (583) can reduce 467 to:
% 41.04/12.90  																																										| (311) $false
% 41.04/12.90  																																										|
% 41.04/12.90  																																										|-The branch is then unsatisfiable
% 41.04/12.90  																																									|-Branch two:
% 41.04/12.90  																																									| (467)  ~ (all_0_90_90 = e4)
% 41.04/12.90  																																									| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 41.04/12.90  																																									|
% 41.04/12.90  																																										+-Applying beta-rule and splitting (1928), into two cases.
% 41.04/12.90  																																										|-Branch one:
% 41.04/12.90  																																										| (442) all_0_92_92 = e4
% 41.04/12.90  																																										|
% 41.04/12.90  																																											| Equations (442) can reduce 283 to:
% 41.04/12.90  																																											| (495)  ~ (all_0_93_93 = e4)
% 41.04/12.90  																																											|
% 41.04/12.90  																																											| Simplifying 495 yields:
% 41.04/12.90  																																											| (496)  ~ (all_0_93_93 = e4)
% 41.04/12.90  																																											|
% 41.04/12.90  																																											| Equations (442) can reduce 258 to:
% 41.04/12.90  																																											| (318)  ~ (all_0_97_97 = e4)
% 41.04/12.90  																																											|
% 41.04/12.90  																																											| Simplifying 318 yields:
% 41.04/12.90  																																											| (319)  ~ (all_0_97_97 = e4)
% 41.04/12.90  																																											|
% 41.04/12.90  																																											| Equations (442) can reduce 426 to:
% 41.04/12.90  																																											| (177)  ~ (e4 = e3)
% 41.04/12.90  																																											|
% 41.04/12.90  																																											| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 41.04/12.90  																																											| (2758) all_0_71_71 = e4
% 41.04/12.90  																																											|
% 41.04/12.90  																																											+-Applying beta-rule and splitting (89), into two cases.
% 41.04/12.90  																																											|-Branch one:
% 41.04/12.90  																																											| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 41.04/12.90  																																											|
% 41.04/12.90  																																												+-Applying beta-rule and splitting (1373), into two cases.
% 41.04/12.90  																																												|-Branch one:
% 41.04/12.90  																																												| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 41.04/12.90  																																												|
% 41.04/12.90  																																													+-Applying beta-rule and splitting (1374), into two cases.
% 41.04/12.90  																																													|-Branch one:
% 41.04/12.90  																																													| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 41.04/12.90  																																													|
% 41.04/12.90  																																														| Applying alpha-rule on (1375) yields:
% 41.04/12.90  																																														| (1376) all_0_69_69 = e4
% 41.04/12.90  																																														| (1377)  ~ (all_0_70_70 = e0)
% 41.04/12.90  																																														|
% 41.04/12.90  																																														| Combining equations (2409,1376) yields a new equation:
% 41.04/12.90  																																														| (2764) all_0_95_95 = e4
% 41.04/12.90  																																														|
% 41.04/12.90  																																														| Simplifying 2764 yields:
% 41.04/12.90  																																														| (894) all_0_95_95 = e4
% 41.04/12.90  																																														|
% 41.04/12.90  																																														| Equations (894) can reduce 315 to:
% 41.04/12.90  																																														| (311) $false
% 41.04/12.90  																																														|
% 41.04/12.90  																																														|-The branch is then unsatisfiable
% 41.04/12.90  																																													|-Branch two:
% 41.04/12.90  																																													| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 41.04/12.90  																																													|
% 41.34/12.90  																																														| Applying alpha-rule on (1379) yields:
% 41.34/12.90  																																														| (1380) all_0_71_71 = e3
% 41.34/12.90  																																														| (1381)  ~ (all_0_72_72 = e0)
% 41.34/12.90  																																														|
% 41.34/12.90  																																														| Combining equations (2758,1380) yields a new equation:
% 41.34/12.90  																																														| (790) e4 = e3
% 41.34/12.90  																																														|
% 41.34/12.91  																																														| Simplifying 790 yields:
% 41.34/12.91  																																														| (434) e4 = e3
% 41.34/12.91  																																														|
% 41.34/12.91  																																														| Equations (434) can reduce 177 to:
% 41.34/12.91  																																														| (311) $false
% 41.34/12.91  																																														|
% 41.34/12.91  																																														|-The branch is then unsatisfiable
% 41.34/12.91  																																												|-Branch two:
% 41.34/12.91  																																												| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 41.34/12.91  																																												|
% 41.34/12.91  																																													| Applying alpha-rule on (1385) yields:
% 41.34/12.91  																																													| (1386) all_0_73_73 = e2
% 41.34/12.91  																																													| (1387)  ~ (all_0_74_74 = e0)
% 41.34/12.91  																																													|
% 41.34/12.91  																																													| From (1386) and (239) follows:
% 41.34/12.91  																																													| (2776) op(e0, all_0_88_88) = e2
% 41.34/12.91  																																													|
% 41.34/12.91  																																													+-Applying beta-rule and splitting (289), into two cases.
% 41.34/12.91  																																													|-Branch one:
% 41.34/12.91  																																													| (954) all_0_85_85 = e0
% 41.34/12.91  																																													|
% 41.34/12.91  																																														| Combining equations (493,954) yields a new equation:
% 41.34/12.91  																																														| (911) e4 = e0
% 41.34/12.91  																																														|
% 41.34/12.91  																																														| Simplifying 911 yields:
% 41.34/12.91  																																														| (912) e4 = e0
% 41.34/12.91  																																														|
% 41.34/12.91  																																														| Equations (912) can reduce 23 to:
% 41.34/12.91  																																														| (311) $false
% 41.34/12.91  																																														|
% 41.34/12.91  																																														|-The branch is then unsatisfiable
% 41.34/12.91  																																													|-Branch two:
% 41.34/12.91  																																													| (800)  ~ (all_0_85_85 = e0)
% 41.34/12.91  																																													| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 41.34/12.91  																																													|
% 41.34/12.91  																																														+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.91  																																														|-Branch one:
% 41.34/12.91  																																														| (750) all_0_90_90 = e1
% 41.34/12.91  																																														|
% 41.34/12.91  																																															| Equations (750) can reduce 34 to:
% 41.34/12.91  																																															| (480)  ~ (all_0_93_93 = e1)
% 41.34/12.91  																																															|
% 41.34/12.91  																																															| Simplifying 480 yields:
% 41.34/12.91  																																															| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.91  																																															|
% 41.34/12.91  																																															| Equations (750) can reduce 229 to:
% 41.34/12.91  																																															| (679)  ~ (all_0_95_95 = e1)
% 41.34/12.91  																																															|
% 41.34/12.91  																																															| Simplifying 679 yields:
% 41.34/12.91  																																															| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.91  																																															|
% 41.34/12.91  																																															+-Applying beta-rule and splitting (65), into two cases.
% 41.34/12.91  																																															|-Branch one:
% 41.34/12.91  																																															| (522) all_0_93_93 = e2
% 41.34/12.91  																																															|
% 41.34/12.91  																																																| Equations (522) can reduce 300 to:
% 41.34/12.91  																																																| (311) $false
% 41.34/12.91  																																																|
% 41.34/12.91  																																																|-The branch is then unsatisfiable
% 41.34/12.91  																																															|-Branch two:
% 41.34/12.91  																																															| (300)  ~ (all_0_93_93 = e2)
% 41.34/12.91  																																															| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 41.34/12.91  																																															|
% 41.34/12.91  																																																+-Applying beta-rule and splitting (282), into two cases.
% 41.34/12.91  																																																|-Branch one:
% 41.34/12.91  																																																| (754) all_0_90_90 = e3
% 41.34/12.91  																																																|
% 41.34/12.91  																																																	| Combining equations (754,750) yields a new equation:
% 41.34/12.91  																																																	| (825) e3 = e1
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	| Simplifying 825 yields:
% 41.34/12.91  																																																	| (772) e3 = e1
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	| Equations (772) can reduce 20 to:
% 41.34/12.91  																																																	| (311) $false
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	|-The branch is then unsatisfiable
% 41.34/12.91  																																																|-Branch two:
% 41.34/12.91  																																																| (745)  ~ (all_0_90_90 = e3)
% 41.34/12.91  																																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.91  																																																|
% 41.34/12.91  																																																	+-Applying beta-rule and splitting (220), into two cases.
% 41.34/12.91  																																																	|-Branch one:
% 41.34/12.91  																																																	| (771) all_0_78_78 = e3
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																		| Combining equations (771,463) yields a new equation:
% 41.34/12.91  																																																		| (434) e4 = e3
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| Equations (434) can reduce 177 to:
% 41.34/12.91  																																																		| (311) $false
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		|-The branch is then unsatisfiable
% 41.34/12.91  																																																	|-Branch two:
% 41.34/12.91  																																																	| (418)  ~ (all_0_78_78 = e3)
% 41.34/12.91  																																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																		| Equations (463) can reduce 418 to:
% 41.34/12.91  																																																		| (177)  ~ (e4 = e3)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		+-Applying beta-rule and splitting (565), into two cases.
% 41.34/12.91  																																																		|-Branch one:
% 41.34/12.91  																																																		| (566) all_0_93_93 = e1
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																			| Equations (566) can reduce 481 to:
% 41.34/12.91  																																																			| (311) $false
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																			|-The branch is then unsatisfiable
% 41.34/12.91  																																																		|-Branch two:
% 41.34/12.91  																																																		| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.91  																																																		| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																			+-Applying beta-rule and splitting (99), into two cases.
% 41.34/12.91  																																																			|-Branch one:
% 41.34/12.91  																																																			| (767) all_0_95_95 = e2
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																				| Equations (767) can reduce 355 to:
% 41.34/12.91  																																																				| (311) $false
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																				|-The branch is then unsatisfiable
% 41.34/12.91  																																																			|-Branch two:
% 41.34/12.91  																																																			| (355)  ~ (all_0_95_95 = e2)
% 41.34/12.91  																																																			| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																				+-Applying beta-rule and splitting (176), into two cases.
% 41.34/12.91  																																																				|-Branch one:
% 41.34/12.91  																																																				| (785) all_0_95_95 = e1
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																					| Equations (785) can reduce 680 to:
% 41.34/12.91  																																																					| (311) $false
% 41.34/12.91  																																																					|
% 41.34/12.91  																																																					|-The branch is then unsatisfiable
% 41.34/12.91  																																																				|-Branch two:
% 41.34/12.91  																																																				| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.91  																																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																					+-Applying beta-rule and splitting (849), into two cases.
% 41.34/12.91  																																																					|-Branch one:
% 41.34/12.91  																																																					| (588) all_0_91_91 = e3
% 41.34/12.91  																																																					|
% 41.34/12.91  																																																						| Equations (588) can reduce 44 to:
% 41.34/12.91  																																																						| (807)  ~ (all_0_93_93 = e3)
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																						| Simplifying 807 yields:
% 41.34/12.91  																																																						| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																						+-Applying beta-rule and splitting (569), into two cases.
% 41.34/12.91  																																																						|-Branch one:
% 41.34/12.91  																																																						| (570) all_0_93_93 = e3
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																							| Equations (570) can reduce 602 to:
% 41.34/12.91  																																																							| (311) $false
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																							|-The branch is then unsatisfiable
% 41.34/12.91  																																																						|-Branch two:
% 41.34/12.91  																																																						| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.91  																																																						| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																							+-Applying beta-rule and splitting (770), into two cases.
% 41.34/12.91  																																																							|-Branch one:
% 41.34/12.91  																																																							| (785) all_0_95_95 = e1
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																								| Equations (785) can reduce 680 to:
% 41.34/12.91  																																																								| (311) $false
% 41.34/12.91  																																																								|
% 41.34/12.91  																																																								|-The branch is then unsatisfiable
% 41.34/12.91  																																																							|-Branch two:
% 41.34/12.91  																																																							| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.91  																																																							| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																								+-Applying beta-rule and splitting (853), into two cases.
% 41.34/12.91  																																																								|-Branch one:
% 41.34/12.91  																																																								| (744) all_0_95_95 = e3
% 41.34/12.91  																																																								|
% 41.34/12.91  																																																									| Equations (744) can reduce 105 to:
% 41.34/12.91  																																																									| (427)  ~ (all_0_97_97 = e3)
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																									| Simplifying 427 yields:
% 41.34/12.91  																																																									| (428)  ~ (all_0_97_97 = e3)
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																									+-Applying beta-rule and splitting (603), into two cases.
% 41.34/12.91  																																																									|-Branch one:
% 41.34/12.91  																																																									| (604) all_0_93_93 = e0
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																										| Equations (604) can reduce 286 to:
% 41.34/12.91  																																																										| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																										+-Applying beta-rule and splitting (112), into two cases.
% 41.34/12.91  																																																										|-Branch one:
% 41.34/12.91  																																																										| (538) all_0_97_97 = e2
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																											| Equations (538) can reduce 527 to:
% 41.34/12.91  																																																											| (311) $false
% 41.34/12.91  																																																											|
% 41.34/12.91  																																																											|-The branch is then unsatisfiable
% 41.34/12.91  																																																										|-Branch two:
% 41.34/12.91  																																																										| (527)  ~ (all_0_97_97 = e2)
% 41.34/12.91  																																																										| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																											+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.91  																																																											|-Branch one:
% 41.34/12.91  																																																											| (504) all_0_88_88 = e1
% 41.34/12.91  																																																											|
% 41.34/12.91  																																																												| Equations (504) can reduce 181 to:
% 41.34/12.91  																																																												| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.91  																																																												|
% 41.34/12.91  																																																												| From (504) and (2776) follows:
% 41.34/12.91  																																																												| (2838) op(e0, e1) = e2
% 41.34/12.91  																																																												|
% 41.34/12.91  																																																												+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.91  																																																												|-Branch one:
% 41.34/12.91  																																																												| (482) all_0_87_87 = e1
% 41.34/12.91  																																																												|
% 41.34/12.91  																																																													| Equations (482) can reduce 625 to:
% 41.34/12.91  																																																													| (311) $false
% 41.34/12.91  																																																													|
% 41.34/12.91  																																																													|-The branch is then unsatisfiable
% 41.34/12.91  																																																												|-Branch two:
% 41.34/12.91  																																																												| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.91  																																																												| (861) all_0_87_87 = e0
% 41.34/12.91  																																																												|
% 41.34/12.91  																																																													| Equations (861) can reduce 221 to:
% 41.34/12.91  																																																													| (938)  ~ (all_0_97_97 = e0)
% 41.34/12.91  																																																													|
% 41.34/12.91  																																																													| Simplifying 938 yields:
% 41.34/12.91  																																																													| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.91  																																																													|
% 41.34/12.91  																																																													+-Applying beta-rule and splitting (541), into two cases.
% 41.34/12.91  																																																													|-Branch one:
% 41.34/12.91  																																																													| (542) all_0_97_97 = e1
% 41.34/12.91  																																																													|
% 41.34/12.91  																																																														| Equations (542) can reduce 527 to:
% 41.34/12.91  																																																														| (487)  ~ (e2 = e1)
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| Simplifying 487 yields:
% 41.34/12.91  																																																														| (243)  ~ (e2 = e1)
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| From (542) and (69) follows:
% 41.34/12.91  																																																														| (2474) op(e0, e1) = all_0_68_68
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| From (542) and (147) follows:
% 41.34/12.91  																																																														| (2475) op(e0, e1) = e1
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| Instantiating formula (262) with e0, e1, e2, all_0_68_68 and discharging atoms op(e0, e1) = all_0_68_68, op(e0, e1) = e2, yields:
% 41.34/12.91  																																																														| (2850) all_0_68_68 = e2
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| Instantiating formula (262) with e0, e1, e1, all_0_68_68 and discharging atoms op(e0, e1) = all_0_68_68, op(e0, e1) = e1, yields:
% 41.34/12.91  																																																														| (1419) all_0_68_68 = e1
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| Combining equations (1419,2850) yields a new equation:
% 41.34/12.91  																																																														| (385) e2 = e1
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														| Equations (385) can reduce 243 to:
% 41.34/12.91  																																																														| (311) $false
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																														|-The branch is then unsatisfiable
% 41.34/12.91  																																																													|-Branch two:
% 41.34/12.91  																																																													| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.91  																																																													| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 41.34/12.91  																																																													|
% 41.34/12.91  																																																														+-Applying beta-rule and splitting (545), into two cases.
% 41.34/12.91  																																																														|-Branch one:
% 41.34/12.91  																																																														| (556) all_0_97_97 = e3
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																															| Equations (556) can reduce 428 to:
% 41.34/12.91  																																																															| (311) $false
% 41.34/12.91  																																																															|
% 41.34/12.91  																																																															|-The branch is then unsatisfiable
% 41.34/12.91  																																																														|-Branch two:
% 41.34/12.91  																																																														| (428)  ~ (all_0_97_97 = e3)
% 41.34/12.91  																																																														| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 41.34/12.91  																																																														|
% 41.34/12.91  																																																															+-Applying beta-rule and splitting (559), into two cases.
% 41.34/12.91  																																																															|-Branch one:
% 41.34/12.91  																																																															| (560) all_0_97_97 = e0
% 41.34/12.91  																																																															|
% 41.34/12.91  																																																																| Equations (560) can reduce 609 to:
% 41.34/12.91  																																																																| (311) $false
% 41.34/12.91  																																																																|
% 41.34/12.91  																																																																|-The branch is then unsatisfiable
% 41.34/12.91  																																																															|-Branch two:
% 41.34/12.91  																																																															| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.91  																																																															| (610) all_0_97_97 = e4
% 41.34/12.91  																																																															|
% 41.34/12.91  																																																																| Equations (610) can reduce 319 to:
% 41.34/12.91  																																																																| (311) $false
% 41.34/12.91  																																																																|
% 41.34/12.91  																																																																|-The branch is then unsatisfiable
% 41.34/12.91  																																																											|-Branch two:
% 41.34/12.91  																																																											| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.91  																																																											| (507) all_0_88_88 = e0
% 41.34/12.91  																																																											|
% 41.34/12.91  																																																												| Equations (507) can reduce 1110 to:
% 41.34/12.91  																																																												| (311) $false
% 41.34/12.91  																																																												|
% 41.34/12.91  																																																												|-The branch is then unsatisfiable
% 41.34/12.91  																																																									|-Branch two:
% 41.34/12.91  																																																									| (509)  ~ (all_0_93_93 = e0)
% 41.34/12.91  																																																									| (607) all_0_93_93 = e4
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																										| Equations (607) can reduce 496 to:
% 41.34/12.91  																																																										| (311) $false
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																										|-The branch is then unsatisfiable
% 41.34/12.91  																																																								|-Branch two:
% 41.34/12.91  																																																								| (765)  ~ (all_0_95_95 = e3)
% 41.34/12.91  																																																								| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 41.34/12.91  																																																								|
% 41.34/12.91  																																																									+-Applying beta-rule and splitting (857), into two cases.
% 41.34/12.91  																																																									|-Branch one:
% 41.34/12.91  																																																									| (858) all_0_95_95 = e0
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																										| Equations (858) can reduce 893 to:
% 41.34/12.91  																																																										| (311) $false
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																										|-The branch is then unsatisfiable
% 41.34/12.91  																																																									|-Branch two:
% 41.34/12.91  																																																									| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.91  																																																									| (894) all_0_95_95 = e4
% 41.34/12.91  																																																									|
% 41.34/12.91  																																																										| Equations (894) can reduce 315 to:
% 41.34/12.91  																																																										| (311) $false
% 41.34/12.91  																																																										|
% 41.34/12.91  																																																										|-The branch is then unsatisfiable
% 41.34/12.91  																																																					|-Branch two:
% 41.34/12.91  																																																					| (571)  ~ (all_0_91_91 = e3)
% 41.34/12.91  																																																					| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.91  																																																					|
% 41.34/12.91  																																																						+-Applying beta-rule and splitting (881), into two cases.
% 41.34/12.91  																																																						|-Branch one:
% 41.34/12.91  																																																						| (882) all_0_92_92 = e3
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																							| Combining equations (882,442) yields a new equation:
% 41.34/12.91  																																																							| (434) e4 = e3
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																							| Equations (434) can reduce 177 to:
% 41.34/12.91  																																																							| (311) $false
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																							|-The branch is then unsatisfiable
% 41.34/12.91  																																																						|-Branch two:
% 41.34/12.91  																																																						| (426)  ~ (all_0_92_92 = e3)
% 41.34/12.91  																																																						| (570) all_0_93_93 = e3
% 41.34/12.91  																																																						|
% 41.34/12.91  																																																							| Equations (570) can reduce 602 to:
% 41.34/12.91  																																																							| (311) $false
% 41.34/12.91  																																																							|
% 41.34/12.91  																																																							|-The branch is then unsatisfiable
% 41.34/12.91  																																														|-Branch two:
% 41.34/12.91  																																														| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.91  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.91  																																														|
% 41.34/12.91  																																															+-Applying beta-rule and splitting (1526), into two cases.
% 41.34/12.91  																																															|-Branch one:
% 41.34/12.91  																																															| (801) all_0_91_91 = e1
% 41.34/12.91  																																															|
% 41.34/12.91  																																																| Equations (801) can reduce 959 to:
% 41.34/12.91  																																																| (311) $false
% 41.34/12.91  																																																|
% 41.34/12.91  																																																|-The branch is then unsatisfiable
% 41.34/12.91  																																															|-Branch two:
% 41.34/12.91  																																															| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.91  																																															| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.91  																																															|
% 41.34/12.91  																																																+-Applying beta-rule and splitting (1556), into two cases.
% 41.34/12.91  																																																|-Branch one:
% 41.34/12.91  																																																| (836) all_0_92_92 = e1
% 41.34/12.91  																																																|
% 41.34/12.91  																																																	| Combining equations (836,442) yields a new equation:
% 41.34/12.91  																																																	| (814) e4 = e1
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	| Equations (814) can reduce 256 to:
% 41.34/12.91  																																																	| (311) $false
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	|-The branch is then unsatisfiable
% 41.34/12.91  																																																|-Branch two:
% 41.34/12.91  																																																| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.91  																																																| (566) all_0_93_93 = e1
% 41.34/12.91  																																																|
% 41.34/12.91  																																																	| Equations (566) can reduce 286 to:
% 41.34/12.91  																																																	| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	| Equations (566) can reduce 44 to:
% 41.34/12.91  																																																	| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																	+-Applying beta-rule and splitting (1077), into two cases.
% 41.34/12.91  																																																	|-Branch one:
% 41.34/12.91  																																																	| (507) all_0_88_88 = e0
% 41.34/12.91  																																																	|
% 41.34/12.91  																																																		| Equations (507) can reduce 181 to:
% 41.34/12.91  																																																		| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| Equations (507) can reduce 93 to:
% 41.34/12.91  																																																		| (904)  ~ (e4 = e0)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| Simplifying 904 yields:
% 41.34/12.91  																																																		| (23)  ~ (e4 = e0)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| Equations (507) can reduce 191 to:
% 41.34/12.91  																																																		| (906)  ~ (e3 = e0)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| Simplifying 906 yields:
% 41.34/12.91  																																																		| (50)  ~ (e3 = e0)
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| From (507) and (161) follows:
% 41.34/12.91  																																																		| (2169) op(e2, e0) = all_0_74_74
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		| From (507) and (230) follows:
% 41.34/12.91  																																																		| (2170) op(e2, e0) = e0
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																		+-Applying beta-rule and splitting (291), into two cases.
% 41.34/12.91  																																																		|-Branch one:
% 41.34/12.91  																																																		| (758) all_0_90_90 = e0
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																			| Equations (758) can reduce 762 to:
% 41.34/12.91  																																																			| (311) $false
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																			|-The branch is then unsatisfiable
% 41.34/12.91  																																																		|-Branch two:
% 41.34/12.91  																																																		| (762)  ~ (all_0_90_90 = e0)
% 41.34/12.91  																																																		| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.34/12.91  																																																		|
% 41.34/12.91  																																																			+-Applying beta-rule and splitting (2), into two cases.
% 41.34/12.91  																																																			|-Branch one:
% 41.34/12.91  																																																			| (916) all_0_84_84 = e0
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																				| Combining equations (1265,916) yields a new equation:
% 41.34/12.91  																																																				| (599) e3 = e0
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																				| Simplifying 599 yields:
% 41.34/12.91  																																																				| (600) e3 = e0
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																				| Equations (600) can reduce 50 to:
% 41.34/12.91  																																																				| (311) $false
% 41.34/12.91  																																																				|
% 41.34/12.91  																																																				|-The branch is then unsatisfiable
% 41.34/12.91  																																																			|-Branch two:
% 41.34/12.91  																																																			| (919)  ~ (all_0_84_84 = e0)
% 41.34/12.91  																																																			| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.34/12.91  																																																			|
% 41.34/12.91  																																																				+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.91  																																																				|-Branch one:
% 41.34/12.91  																																																				| (482) all_0_87_87 = e1
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																					| Equations (482) can reduce 221 to:
% 41.34/12.92  																																																					| (485)  ~ (all_0_97_97 = e1)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					| Simplifying 485 yields:
% 41.34/12.92  																																																					| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					| Equations (482) can reduce 349 to:
% 41.34/12.92  																																																					| (487)  ~ (e2 = e1)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					| Simplifying 487 yields:
% 41.34/12.92  																																																					| (243)  ~ (e2 = e1)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					+-Applying beta-rule and splitting (176), into two cases.
% 41.34/12.92  																																																					|-Branch one:
% 41.34/12.92  																																																					| (785) all_0_95_95 = e1
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																						| Equations (785) can reduce 105 to:
% 41.34/12.92  																																																						| (485)  ~ (all_0_97_97 = e1)
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																						| Simplifying 485 yields:
% 41.34/12.92  																																																						| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																						| Equations (785) can reduce 893 to:
% 41.34/12.92  																																																						| (264)  ~ (e1 = e0)
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																						+-Applying beta-rule and splitting (1455), into two cases.
% 41.34/12.92  																																																						|-Branch one:
% 41.34/12.92  																																																						| (1456) all_0_91_91 = e0
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																							| Equations (1456) can reduce 64 to:
% 41.34/12.92  																																																							| (2296)  ~ (all_0_96_96 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| Simplifying 2296 yields:
% 41.34/12.92  																																																							| (2095)  ~ (all_0_96_96 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| Equations (1456) can reduce 296 to:
% 41.34/12.92  																																																							| (510)  ~ (e2 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| Simplifying 510 yields:
% 41.34/12.92  																																																							| (76)  ~ (e2 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| Equations (1456) can reduce 959 to:
% 41.34/12.92  																																																							| (859)  ~ (e1 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| Simplifying 859 yields:
% 41.34/12.92  																																																							| (264)  ~ (e1 = e0)
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							| From (1456) and (1703) follows:
% 41.34/12.92  																																																							| (2305) op(e2, e0) = e1
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							+-Applying beta-rule and splitting (102), into two cases.
% 41.34/12.92  																																																							|-Branch one:
% 41.34/12.92  																																																							| (858) all_0_95_95 = e0
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								| Combining equations (785,858) yields a new equation:
% 41.34/12.92  																																																								| (1107) e1 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Simplifying 1107 yields:
% 41.34/12.92  																																																								| (865) e1 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Equations (865) can reduce 264 to:
% 41.34/12.92  																																																								| (311) $false
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								|-The branch is then unsatisfiable
% 41.34/12.92  																																																							|-Branch two:
% 41.34/12.92  																																																							| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.92  																																																							| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								+-Applying beta-rule and splitting (1921), into two cases.
% 41.34/12.92  																																																								|-Branch one:
% 41.34/12.92  																																																								| (1837) all_0_96_96 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																									| Equations (1837) can reduce 2095 to:
% 41.34/12.92  																																																									| (311) $false
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									|-The branch is then unsatisfiable
% 41.34/12.92  																																																								|-Branch two:
% 41.34/12.92  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 41.34/12.92  																																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 41.34/12.92  																																																									|-Branch one:
% 41.34/12.92  																																																									| (560) all_0_97_97 = e0
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																										| Equations (560) can reduce 486 to:
% 41.34/12.92  																																																										| (859)  ~ (e1 = e0)
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Simplifying 859 yields:
% 41.34/12.92  																																																										| (264)  ~ (e1 = e0)
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Instantiating formula (262) with e2, e0, e1, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e1, yields:
% 41.34/12.92  																																																										| (2947) all_0_74_74 = e1
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 41.34/12.92  																																																										| (1965) all_0_74_74 = e0
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Combining equations (1965,2947) yields a new equation:
% 41.34/12.92  																																																										| (865) e1 = e0
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Equations (865) can reduce 264 to:
% 41.34/12.92  																																																										| (311) $false
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										|-The branch is then unsatisfiable
% 41.34/12.92  																																																									|-Branch two:
% 41.34/12.92  																																																									| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.92  																																																									| (1121) all_0_98_98 = e0
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																										| Combining equations (1121,525) yields a new equation:
% 41.34/12.92  																																																										| (379) e2 = e0
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										| Equations (379) can reduce 76 to:
% 41.34/12.92  																																																										| (311) $false
% 41.34/12.92  																																																										|
% 41.34/12.92  																																																										|-The branch is then unsatisfiable
% 41.34/12.92  																																																						|-Branch two:
% 41.34/12.92  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.92  																																																						| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																							+-Applying beta-rule and splitting (920), into two cases.
% 41.34/12.92  																																																							|-Branch one:
% 41.34/12.92  																																																							| (861) all_0_87_87 = e0
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								| Combining equations (482,861) yields a new equation:
% 41.34/12.92  																																																								| (1107) e1 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Simplifying 1107 yields:
% 41.34/12.92  																																																								| (865) e1 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Equations (865) can reduce 264 to:
% 41.34/12.92  																																																								| (311) $false
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								|-The branch is then unsatisfiable
% 41.34/12.92  																																																							|-Branch two:
% 41.34/12.92  																																																							| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.92  																																																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								| Equations (482) can reduce 889 to:
% 41.34/12.92  																																																								| (264)  ~ (e1 = e0)
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								+-Applying beta-rule and splitting (1488), into two cases.
% 41.34/12.92  																																																								|-Branch one:
% 41.34/12.92  																																																								| (942) all_0_92_92 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																									| Combining equations (442,942) yields a new equation:
% 41.34/12.92  																																																									| (911) e4 = e0
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									| Simplifying 911 yields:
% 41.34/12.92  																																																									| (912) e4 = e0
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									| Equations (912) can reduce 23 to:
% 41.34/12.92  																																																									| (311) $false
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									|-The branch is then unsatisfiable
% 41.34/12.92  																																																								|-Branch two:
% 41.34/12.92  																																																								| (946)  ~ (all_0_92_92 = e0)
% 41.34/12.92  																																																								| (604) all_0_93_93 = e0
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																									| Combining equations (604,566) yields a new equation:
% 41.34/12.92  																																																									| (865) e1 = e0
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									| Equations (865) can reduce 264 to:
% 41.34/12.92  																																																									| (311) $false
% 41.34/12.92  																																																									|
% 41.34/12.92  																																																									|-The branch is then unsatisfiable
% 41.34/12.92  																																																					|-Branch two:
% 41.34/12.92  																																																					| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.92  																																																					| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																						+-Applying beta-rule and splitting (788), into two cases.
% 41.34/12.92  																																																						|-Branch one:
% 41.34/12.92  																																																						| (960) all_0_96_96 = e1
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																							| Equations (960) can reduce 1479 to:
% 41.34/12.92  																																																							| (311) $false
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																							|-The branch is then unsatisfiable
% 41.34/12.92  																																																						|-Branch two:
% 41.34/12.92  																																																						| (1479)  ~ (all_0_96_96 = e1)
% 41.34/12.92  																																																						| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																							+-Applying beta-rule and splitting (2126), into two cases.
% 41.34/12.92  																																																							|-Branch one:
% 41.34/12.92  																																																							| (542) all_0_97_97 = e1
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								| Equations (542) can reduce 486 to:
% 41.34/12.92  																																																								| (311) $false
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								|-The branch is then unsatisfiable
% 41.34/12.92  																																																							|-Branch two:
% 41.34/12.92  																																																							| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.92  																																																							| (1543) all_0_98_98 = e1
% 41.34/12.92  																																																							|
% 41.34/12.92  																																																								| Combining equations (525,1543) yields a new equation:
% 41.34/12.92  																																																								| (408) e2 = e1
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Simplifying 408 yields:
% 41.34/12.92  																																																								| (385) e2 = e1
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								| Equations (385) can reduce 243 to:
% 41.34/12.92  																																																								| (311) $false
% 41.34/12.92  																																																								|
% 41.34/12.92  																																																								|-The branch is then unsatisfiable
% 41.34/12.92  																																																				|-Branch two:
% 41.34/12.92  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.92  																																																				| (861) all_0_87_87 = e0
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																					| Equations (861) can reduce 889 to:
% 41.34/12.92  																																																					| (311) $false
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					|-The branch is then unsatisfiable
% 41.34/12.92  																																																	|-Branch two:
% 41.34/12.92  																																																	| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.92  																																																	| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																		+-Applying beta-rule and splitting (382), into two cases.
% 41.34/12.92  																																																		|-Branch one:
% 41.34/12.92  																																																		| (861) all_0_87_87 = e0
% 41.34/12.92  																																																		|
% 41.34/12.92  																																																			| Equations (861) can reduce 181 to:
% 41.34/12.92  																																																			| (2507)  ~ (all_0_88_88 = e0)
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																			| Simplifying 2507 yields:
% 41.34/12.92  																																																			| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																			+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.92  																																																			|-Branch one:
% 41.34/12.92  																																																			| (504) all_0_88_88 = e1
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																				| Equations (504) can reduce 479 to:
% 41.34/12.92  																																																				| (311) $false
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																				|-The branch is then unsatisfiable
% 41.34/12.92  																																																			|-Branch two:
% 41.34/12.92  																																																			| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.92  																																																			| (507) all_0_88_88 = e0
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																				| Equations (507) can reduce 1110 to:
% 41.34/12.92  																																																				| (311) $false
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																				|-The branch is then unsatisfiable
% 41.34/12.92  																																																		|-Branch two:
% 41.34/12.92  																																																		| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.92  																																																		| (507) all_0_88_88 = e0
% 41.34/12.92  																																																		|
% 41.34/12.92  																																																			| Equations (507) can reduce 1110 to:
% 41.34/12.92  																																																			| (311) $false
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																			|-The branch is then unsatisfiable
% 41.34/12.92  																																											|-Branch two:
% 41.34/12.92  																																											| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 41.34/12.92  																																											|
% 41.34/12.92  																																												| Applying alpha-rule on (1391) yields:
% 41.34/12.92  																																												| (1392) all_0_75_75 = e1
% 41.34/12.92  																																												| (1393)  ~ (all_0_76_76 = e0)
% 41.34/12.92  																																												|
% 41.34/12.92  																																												| From (1392) and (173) follows:
% 41.34/12.92  																																												| (1394) op(e0, all_0_93_93) = e1
% 41.34/12.92  																																												|
% 41.34/12.92  																																												+-Applying beta-rule and splitting (289), into two cases.
% 41.34/12.92  																																												|-Branch one:
% 41.34/12.92  																																												| (954) all_0_85_85 = e0
% 41.34/12.92  																																												|
% 41.34/12.92  																																													| Combining equations (493,954) yields a new equation:
% 41.34/12.92  																																													| (911) e4 = e0
% 41.34/12.92  																																													|
% 41.34/12.92  																																													| Simplifying 911 yields:
% 41.34/12.92  																																													| (912) e4 = e0
% 41.34/12.92  																																													|
% 41.34/12.92  																																													| Equations (912) can reduce 23 to:
% 41.34/12.92  																																													| (311) $false
% 41.34/12.92  																																													|
% 41.34/12.92  																																													|-The branch is then unsatisfiable
% 41.34/12.92  																																												|-Branch two:
% 41.34/12.92  																																												| (800)  ~ (all_0_85_85 = e0)
% 41.34/12.92  																																												| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 41.34/12.92  																																												|
% 41.34/12.92  																																													+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.92  																																													|-Branch one:
% 41.34/12.92  																																													| (750) all_0_90_90 = e1
% 41.34/12.92  																																													|
% 41.34/12.92  																																														| Equations (750) can reduce 34 to:
% 41.34/12.92  																																														| (480)  ~ (all_0_93_93 = e1)
% 41.34/12.92  																																														|
% 41.34/12.92  																																														| Simplifying 480 yields:
% 41.34/12.92  																																														| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.92  																																														|
% 41.34/12.92  																																														| Equations (750) can reduce 229 to:
% 41.34/12.92  																																														| (679)  ~ (all_0_95_95 = e1)
% 41.34/12.92  																																														|
% 41.34/12.92  																																														| Simplifying 679 yields:
% 41.34/12.92  																																														| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.92  																																														|
% 41.34/12.92  																																														+-Applying beta-rule and splitting (65), into two cases.
% 41.34/12.92  																																														|-Branch one:
% 41.34/12.92  																																														| (522) all_0_93_93 = e2
% 41.34/12.92  																																														|
% 41.34/12.92  																																															| Equations (522) can reduce 300 to:
% 41.34/12.92  																																															| (311) $false
% 41.34/12.92  																																															|
% 41.34/12.92  																																															|-The branch is then unsatisfiable
% 41.34/12.92  																																														|-Branch two:
% 41.34/12.92  																																														| (300)  ~ (all_0_93_93 = e2)
% 41.34/12.92  																																														| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 41.34/12.92  																																														|
% 41.34/12.92  																																															+-Applying beta-rule and splitting (282), into two cases.
% 41.34/12.92  																																															|-Branch one:
% 41.34/12.92  																																															| (754) all_0_90_90 = e3
% 41.34/12.92  																																															|
% 41.34/12.92  																																																| Combining equations (754,750) yields a new equation:
% 41.34/12.92  																																																| (825) e3 = e1
% 41.34/12.92  																																																|
% 41.34/12.92  																																																| Simplifying 825 yields:
% 41.34/12.92  																																																| (772) e3 = e1
% 41.34/12.92  																																																|
% 41.34/12.92  																																																| Equations (772) can reduce 20 to:
% 41.34/12.92  																																																| (311) $false
% 41.34/12.92  																																																|
% 41.34/12.92  																																																|-The branch is then unsatisfiable
% 41.34/12.92  																																															|-Branch two:
% 41.34/12.92  																																															| (745)  ~ (all_0_90_90 = e3)
% 41.34/12.92  																																															| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.92  																																															|
% 41.34/12.92  																																																+-Applying beta-rule and splitting (220), into two cases.
% 41.34/12.92  																																																|-Branch one:
% 41.34/12.92  																																																| (771) all_0_78_78 = e3
% 41.34/12.92  																																																|
% 41.34/12.92  																																																	| Combining equations (771,463) yields a new equation:
% 41.34/12.92  																																																	| (434) e4 = e3
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																	| Equations (434) can reduce 177 to:
% 41.34/12.92  																																																	| (311) $false
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																	|-The branch is then unsatisfiable
% 41.34/12.92  																																																|-Branch two:
% 41.34/12.92  																																																| (418)  ~ (all_0_78_78 = e3)
% 41.34/12.92  																																																| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 41.34/12.92  																																																|
% 41.34/12.92  																																																	| Equations (463) can reduce 418 to:
% 41.34/12.92  																																																	| (177)  ~ (e4 = e3)
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																	+-Applying beta-rule and splitting (565), into two cases.
% 41.34/12.92  																																																	|-Branch one:
% 41.34/12.92  																																																	| (566) all_0_93_93 = e1
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																		| Equations (566) can reduce 481 to:
% 41.34/12.92  																																																		| (311) $false
% 41.34/12.92  																																																		|
% 41.34/12.92  																																																		|-The branch is then unsatisfiable
% 41.34/12.92  																																																	|-Branch two:
% 41.34/12.92  																																																	| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.92  																																																	| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 41.34/12.92  																																																	|
% 41.34/12.92  																																																		+-Applying beta-rule and splitting (99), into two cases.
% 41.34/12.92  																																																		|-Branch one:
% 41.34/12.92  																																																		| (767) all_0_95_95 = e2
% 41.34/12.92  																																																		|
% 41.34/12.92  																																																			| Equations (767) can reduce 355 to:
% 41.34/12.92  																																																			| (311) $false
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																			|-The branch is then unsatisfiable
% 41.34/12.92  																																																		|-Branch two:
% 41.34/12.92  																																																		| (355)  ~ (all_0_95_95 = e2)
% 41.34/12.92  																																																		| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 41.34/12.92  																																																		|
% 41.34/12.92  																																																			+-Applying beta-rule and splitting (176), into two cases.
% 41.34/12.92  																																																			|-Branch one:
% 41.34/12.92  																																																			| (785) all_0_95_95 = e1
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																				| Equations (785) can reduce 680 to:
% 41.34/12.92  																																																				| (311) $false
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																				|-The branch is then unsatisfiable
% 41.34/12.92  																																																			|-Branch two:
% 41.34/12.92  																																																			| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.92  																																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.92  																																																			|
% 41.34/12.92  																																																				+-Applying beta-rule and splitting (849), into two cases.
% 41.34/12.92  																																																				|-Branch one:
% 41.34/12.92  																																																				| (588) all_0_91_91 = e3
% 41.34/12.92  																																																				|
% 41.34/12.92  																																																					| Equations (588) can reduce 44 to:
% 41.34/12.92  																																																					| (807)  ~ (all_0_93_93 = e3)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					| Simplifying 807 yields:
% 41.34/12.92  																																																					| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																					+-Applying beta-rule and splitting (569), into two cases.
% 41.34/12.92  																																																					|-Branch one:
% 41.34/12.92  																																																					| (570) all_0_93_93 = e3
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																						| Equations (570) can reduce 602 to:
% 41.34/12.92  																																																						| (311) $false
% 41.34/12.92  																																																						|
% 41.34/12.92  																																																						|-The branch is then unsatisfiable
% 41.34/12.92  																																																					|-Branch two:
% 41.34/12.92  																																																					| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.92  																																																					| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 41.34/12.92  																																																					|
% 41.34/12.92  																																																						+-Applying beta-rule and splitting (770), into two cases.
% 41.34/12.92  																																																						|-Branch one:
% 41.34/12.92  																																																						| (785) all_0_95_95 = e1
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							| Equations (785) can reduce 680 to:
% 41.34/12.93  																																																							| (311) $false
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							|-The branch is then unsatisfiable
% 41.34/12.93  																																																						|-Branch two:
% 41.34/12.93  																																																						| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.93  																																																						| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							+-Applying beta-rule and splitting (853), into two cases.
% 41.34/12.93  																																																							|-Branch one:
% 41.34/12.93  																																																							| (744) all_0_95_95 = e3
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								| Equations (744) can reduce 105 to:
% 41.34/12.93  																																																								| (427)  ~ (all_0_97_97 = e3)
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								| Simplifying 427 yields:
% 41.34/12.93  																																																								| (428)  ~ (all_0_97_97 = e3)
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								+-Applying beta-rule and splitting (603), into two cases.
% 41.34/12.93  																																																								|-Branch one:
% 41.34/12.93  																																																								| (604) all_0_93_93 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Equations (604) can reduce 286 to:
% 41.34/12.93  																																																									| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| From (604) and (1394) follows:
% 41.34/12.93  																																																									| (3060) op(e0, e0) = e1
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									+-Applying beta-rule and splitting (112), into two cases.
% 41.34/12.93  																																																									|-Branch one:
% 41.34/12.93  																																																									| (538) all_0_97_97 = e2
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																										| Equations (538) can reduce 527 to:
% 41.34/12.93  																																																										| (311) $false
% 41.34/12.93  																																																										|
% 41.34/12.93  																																																										|-The branch is then unsatisfiable
% 41.34/12.93  																																																									|-Branch two:
% 41.34/12.93  																																																									| (527)  ~ (all_0_97_97 = e2)
% 41.34/12.93  																																																									| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																										+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.93  																																																										|-Branch one:
% 41.34/12.93  																																																										| (504) all_0_88_88 = e1
% 41.34/12.93  																																																										|
% 41.34/12.93  																																																											| Equations (504) can reduce 181 to:
% 41.34/12.93  																																																											| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.93  																																																											|
% 41.34/12.93  																																																											+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.93  																																																											|-Branch one:
% 41.34/12.93  																																																											| (482) all_0_87_87 = e1
% 41.34/12.93  																																																											|
% 41.34/12.93  																																																												| Equations (482) can reduce 625 to:
% 41.34/12.93  																																																												| (311) $false
% 41.34/12.93  																																																												|
% 41.34/12.93  																																																												|-The branch is then unsatisfiable
% 41.34/12.93  																																																											|-Branch two:
% 41.34/12.93  																																																											| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.93  																																																											| (861) all_0_87_87 = e0
% 41.34/12.93  																																																											|
% 41.34/12.93  																																																												| Equations (861) can reduce 221 to:
% 41.34/12.93  																																																												| (938)  ~ (all_0_97_97 = e0)
% 41.34/12.93  																																																												|
% 41.34/12.93  																																																												| Simplifying 938 yields:
% 41.34/12.93  																																																												| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.93  																																																												|
% 41.34/12.93  																																																												+-Applying beta-rule and splitting (541), into two cases.
% 41.34/12.93  																																																												|-Branch one:
% 41.34/12.93  																																																												| (542) all_0_97_97 = e1
% 41.34/12.93  																																																												|
% 41.34/12.93  																																																													| Equations (542) can reduce 527 to:
% 41.34/12.93  																																																													| (487)  ~ (e2 = e1)
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																													| Simplifying 487 yields:
% 41.34/12.93  																																																													| (243)  ~ (e2 = e1)
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																													| Instantiating formula (262) with e0, e0, e1, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e1, yields:
% 41.34/12.93  																																																													| (385) e2 = e1
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																													| Equations (385) can reduce 243 to:
% 41.34/12.93  																																																													| (311) $false
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																													|-The branch is then unsatisfiable
% 41.34/12.93  																																																												|-Branch two:
% 41.34/12.93  																																																												| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.93  																																																												| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 41.34/12.93  																																																												|
% 41.34/12.93  																																																													+-Applying beta-rule and splitting (545), into two cases.
% 41.34/12.93  																																																													|-Branch one:
% 41.34/12.93  																																																													| (556) all_0_97_97 = e3
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																														| Equations (556) can reduce 428 to:
% 41.34/12.93  																																																														| (311) $false
% 41.34/12.93  																																																														|
% 41.34/12.93  																																																														|-The branch is then unsatisfiable
% 41.34/12.93  																																																													|-Branch two:
% 41.34/12.93  																																																													| (428)  ~ (all_0_97_97 = e3)
% 41.34/12.93  																																																													| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 41.34/12.93  																																																													|
% 41.34/12.93  																																																														+-Applying beta-rule and splitting (559), into two cases.
% 41.34/12.93  																																																														|-Branch one:
% 41.34/12.93  																																																														| (560) all_0_97_97 = e0
% 41.34/12.93  																																																														|
% 41.34/12.93  																																																															| Equations (560) can reduce 609 to:
% 41.34/12.93  																																																															| (311) $false
% 41.34/12.93  																																																															|
% 41.34/12.93  																																																															|-The branch is then unsatisfiable
% 41.34/12.93  																																																														|-Branch two:
% 41.34/12.93  																																																														| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.93  																																																														| (610) all_0_97_97 = e4
% 41.34/12.93  																																																														|
% 41.34/12.93  																																																															| Equations (610) can reduce 319 to:
% 41.34/12.93  																																																															| (311) $false
% 41.34/12.93  																																																															|
% 41.34/12.93  																																																															|-The branch is then unsatisfiable
% 41.34/12.93  																																																										|-Branch two:
% 41.34/12.93  																																																										| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.93  																																																										| (507) all_0_88_88 = e0
% 41.34/12.93  																																																										|
% 41.34/12.93  																																																											| Equations (507) can reduce 1110 to:
% 41.34/12.93  																																																											| (311) $false
% 41.34/12.93  																																																											|
% 41.34/12.93  																																																											|-The branch is then unsatisfiable
% 41.34/12.93  																																																								|-Branch two:
% 41.34/12.93  																																																								| (509)  ~ (all_0_93_93 = e0)
% 41.34/12.93  																																																								| (607) all_0_93_93 = e4
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Equations (607) can reduce 496 to:
% 41.34/12.93  																																																									| (311) $false
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									|-The branch is then unsatisfiable
% 41.34/12.93  																																																							|-Branch two:
% 41.34/12.93  																																																							| (765)  ~ (all_0_95_95 = e3)
% 41.34/12.93  																																																							| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								+-Applying beta-rule and splitting (857), into two cases.
% 41.34/12.93  																																																								|-Branch one:
% 41.34/12.93  																																																								| (858) all_0_95_95 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Equations (858) can reduce 893 to:
% 41.34/12.93  																																																									| (311) $false
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									|-The branch is then unsatisfiable
% 41.34/12.93  																																																								|-Branch two:
% 41.34/12.93  																																																								| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.93  																																																								| (894) all_0_95_95 = e4
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Equations (894) can reduce 315 to:
% 41.34/12.93  																																																									| (311) $false
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									|-The branch is then unsatisfiable
% 41.34/12.93  																																																				|-Branch two:
% 41.34/12.93  																																																				| (571)  ~ (all_0_91_91 = e3)
% 41.34/12.93  																																																				| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																					+-Applying beta-rule and splitting (881), into two cases.
% 41.34/12.93  																																																					|-Branch one:
% 41.34/12.93  																																																					| (882) all_0_92_92 = e3
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																						| Combining equations (882,442) yields a new equation:
% 41.34/12.93  																																																						| (434) e4 = e3
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Equations (434) can reduce 177 to:
% 41.34/12.93  																																																						| (311) $false
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						|-The branch is then unsatisfiable
% 41.34/12.93  																																																					|-Branch two:
% 41.34/12.93  																																																					| (426)  ~ (all_0_92_92 = e3)
% 41.34/12.93  																																																					| (570) all_0_93_93 = e3
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																						| Equations (570) can reduce 602 to:
% 41.34/12.93  																																																						| (311) $false
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						|-The branch is then unsatisfiable
% 41.34/12.93  																																													|-Branch two:
% 41.34/12.93  																																													| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.93  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.93  																																													|
% 41.34/12.93  																																														+-Applying beta-rule and splitting (1526), into two cases.
% 41.34/12.93  																																														|-Branch one:
% 41.34/12.93  																																														| (801) all_0_91_91 = e1
% 41.34/12.93  																																														|
% 41.34/12.93  																																															| Equations (801) can reduce 959 to:
% 41.34/12.93  																																															| (311) $false
% 41.34/12.93  																																															|
% 41.34/12.93  																																															|-The branch is then unsatisfiable
% 41.34/12.93  																																														|-Branch two:
% 41.34/12.93  																																														| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.93  																																														| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.93  																																														|
% 41.34/12.93  																																															+-Applying beta-rule and splitting (1556), into two cases.
% 41.34/12.93  																																															|-Branch one:
% 41.34/12.93  																																															| (836) all_0_92_92 = e1
% 41.34/12.93  																																															|
% 41.34/12.93  																																																| Combining equations (836,442) yields a new equation:
% 41.34/12.93  																																																| (814) e4 = e1
% 41.34/12.93  																																																|
% 41.34/12.93  																																																| Equations (814) can reduce 256 to:
% 41.34/12.93  																																																| (311) $false
% 41.34/12.93  																																																|
% 41.34/12.93  																																																|-The branch is then unsatisfiable
% 41.34/12.93  																																															|-Branch two:
% 41.34/12.93  																																															| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.93  																																															| (566) all_0_93_93 = e1
% 41.34/12.93  																																															|
% 41.34/12.93  																																																| Equations (566) can reduce 286 to:
% 41.34/12.93  																																																| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.93  																																																|
% 41.34/12.93  																																																| Equations (566) can reduce 44 to:
% 41.34/12.93  																																																| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.93  																																																|
% 41.34/12.93  																																																| From (566) and (1394) follows:
% 41.34/12.93  																																																| (2475) op(e0, e1) = e1
% 41.34/12.93  																																																|
% 41.34/12.93  																																																+-Applying beta-rule and splitting (1077), into two cases.
% 41.34/12.93  																																																|-Branch one:
% 41.34/12.93  																																																| (507) all_0_88_88 = e0
% 41.34/12.93  																																																|
% 41.34/12.93  																																																	| Equations (507) can reduce 181 to:
% 41.34/12.93  																																																	| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																	| Equations (507) can reduce 93 to:
% 41.34/12.93  																																																	| (904)  ~ (e4 = e0)
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																	| Simplifying 904 yields:
% 41.34/12.93  																																																	| (23)  ~ (e4 = e0)
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																	| Equations (507) can reduce 191 to:
% 41.34/12.93  																																																	| (906)  ~ (e3 = e0)
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																	| Simplifying 906 yields:
% 41.34/12.93  																																																	| (50)  ~ (e3 = e0)
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																	+-Applying beta-rule and splitting (291), into two cases.
% 41.34/12.93  																																																	|-Branch one:
% 41.34/12.93  																																																	| (758) all_0_90_90 = e0
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																		| Equations (758) can reduce 762 to:
% 41.34/12.93  																																																		| (311) $false
% 41.34/12.93  																																																		|
% 41.34/12.93  																																																		|-The branch is then unsatisfiable
% 41.34/12.93  																																																	|-Branch two:
% 41.34/12.93  																																																	| (762)  ~ (all_0_90_90 = e0)
% 41.34/12.93  																																																	| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.34/12.93  																																																	|
% 41.34/12.93  																																																		+-Applying beta-rule and splitting (2), into two cases.
% 41.34/12.93  																																																		|-Branch one:
% 41.34/12.93  																																																		| (916) all_0_84_84 = e0
% 41.34/12.93  																																																		|
% 41.34/12.93  																																																			| Combining equations (1265,916) yields a new equation:
% 41.34/12.93  																																																			| (599) e3 = e0
% 41.34/12.93  																																																			|
% 41.34/12.93  																																																			| Simplifying 599 yields:
% 41.34/12.93  																																																			| (600) e3 = e0
% 41.34/12.93  																																																			|
% 41.34/12.93  																																																			| Equations (600) can reduce 50 to:
% 41.34/12.93  																																																			| (311) $false
% 41.34/12.93  																																																			|
% 41.34/12.93  																																																			|-The branch is then unsatisfiable
% 41.34/12.93  																																																		|-Branch two:
% 41.34/12.93  																																																		| (919)  ~ (all_0_84_84 = e0)
% 41.34/12.93  																																																		| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.34/12.93  																																																		|
% 41.34/12.93  																																																			+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.93  																																																			|-Branch one:
% 41.34/12.93  																																																			| (482) all_0_87_87 = e1
% 41.34/12.93  																																																			|
% 41.34/12.93  																																																				| Equations (482) can reduce 221 to:
% 41.34/12.93  																																																				| (485)  ~ (all_0_97_97 = e1)
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																				| Simplifying 485 yields:
% 41.34/12.93  																																																				| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																				| Equations (482) can reduce 349 to:
% 41.34/12.93  																																																				| (487)  ~ (e2 = e1)
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																				| Simplifying 487 yields:
% 41.34/12.93  																																																				| (243)  ~ (e2 = e1)
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																				+-Applying beta-rule and splitting (176), into two cases.
% 41.34/12.93  																																																				|-Branch one:
% 41.34/12.93  																																																				| (785) all_0_95_95 = e1
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																					| Equations (785) can reduce 105 to:
% 41.34/12.93  																																																					| (485)  ~ (all_0_97_97 = e1)
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																					| Simplifying 485 yields:
% 41.34/12.93  																																																					| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																					| Equations (785) can reduce 893 to:
% 41.34/12.93  																																																					| (264)  ~ (e1 = e0)
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																					+-Applying beta-rule and splitting (1455), into two cases.
% 41.34/12.93  																																																					|-Branch one:
% 41.34/12.93  																																																					| (1456) all_0_91_91 = e0
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																						| Equations (1456) can reduce 64 to:
% 41.34/12.93  																																																						| (2296)  ~ (all_0_96_96 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Simplifying 2296 yields:
% 41.34/12.93  																																																						| (2095)  ~ (all_0_96_96 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Equations (1456) can reduce 296 to:
% 41.34/12.93  																																																						| (510)  ~ (e2 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Simplifying 510 yields:
% 41.34/12.93  																																																						| (76)  ~ (e2 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Equations (1456) can reduce 959 to:
% 41.34/12.93  																																																						| (859)  ~ (e1 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						| Simplifying 859 yields:
% 41.34/12.93  																																																						| (264)  ~ (e1 = e0)
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						+-Applying beta-rule and splitting (102), into two cases.
% 41.34/12.93  																																																						|-Branch one:
% 41.34/12.93  																																																						| (858) all_0_95_95 = e0
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							| Combining equations (785,858) yields a new equation:
% 41.34/12.93  																																																							| (1107) e1 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							| Simplifying 1107 yields:
% 41.34/12.93  																																																							| (865) e1 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							| Equations (865) can reduce 264 to:
% 41.34/12.93  																																																							| (311) $false
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							|-The branch is then unsatisfiable
% 41.34/12.93  																																																						|-Branch two:
% 41.34/12.93  																																																						| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.93  																																																						| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							+-Applying beta-rule and splitting (1921), into two cases.
% 41.34/12.93  																																																							|-Branch one:
% 41.34/12.93  																																																							| (1837) all_0_96_96 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								| Equations (1837) can reduce 2095 to:
% 41.34/12.93  																																																								| (311) $false
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								|-The branch is then unsatisfiable
% 41.34/12.93  																																																							|-Branch two:
% 41.34/12.93  																																																							| (2095)  ~ (all_0_96_96 = e0)
% 41.34/12.93  																																																							| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								+-Applying beta-rule and splitting (2096), into two cases.
% 41.34/12.93  																																																								|-Branch one:
% 41.34/12.93  																																																								| (560) all_0_97_97 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Equations (560) can reduce 486 to:
% 41.34/12.93  																																																									| (859)  ~ (e1 = e0)
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| Simplifying 859 yields:
% 41.34/12.93  																																																									| (264)  ~ (e1 = e0)
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| From (560) and (147) follows:
% 41.34/12.93  																																																									| (3169) op(e0, e1) = e0
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| Instantiating formula (262) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 41.34/12.93  																																																									| (865) e1 = e0
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| Equations (865) can reduce 264 to:
% 41.34/12.93  																																																									| (311) $false
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									|-The branch is then unsatisfiable
% 41.34/12.93  																																																								|-Branch two:
% 41.34/12.93  																																																								| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.93  																																																								| (1121) all_0_98_98 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																									| Combining equations (1121,525) yields a new equation:
% 41.34/12.93  																																																									| (379) e2 = e0
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									| Equations (379) can reduce 76 to:
% 41.34/12.93  																																																									| (311) $false
% 41.34/12.93  																																																									|
% 41.34/12.93  																																																									|-The branch is then unsatisfiable
% 41.34/12.93  																																																					|-Branch two:
% 41.34/12.93  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.93  																																																					| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																						+-Applying beta-rule and splitting (920), into two cases.
% 41.34/12.93  																																																						|-Branch one:
% 41.34/12.93  																																																						| (861) all_0_87_87 = e0
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							| Combining equations (482,861) yields a new equation:
% 41.34/12.93  																																																							| (1107) e1 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							| Simplifying 1107 yields:
% 41.34/12.93  																																																							| (865) e1 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							| Equations (865) can reduce 264 to:
% 41.34/12.93  																																																							| (311) $false
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							|-The branch is then unsatisfiable
% 41.34/12.93  																																																						|-Branch two:
% 41.34/12.93  																																																						| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.93  																																																						| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																							| Equations (482) can reduce 889 to:
% 41.34/12.93  																																																							| (264)  ~ (e1 = e0)
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																							+-Applying beta-rule and splitting (1488), into two cases.
% 41.34/12.93  																																																							|-Branch one:
% 41.34/12.93  																																																							| (942) all_0_92_92 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								| Combining equations (442,942) yields a new equation:
% 41.34/12.93  																																																								| (911) e4 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								| Simplifying 911 yields:
% 41.34/12.93  																																																								| (912) e4 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								| Equations (912) can reduce 23 to:
% 41.34/12.93  																																																								| (311) $false
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								|-The branch is then unsatisfiable
% 41.34/12.93  																																																							|-Branch two:
% 41.34/12.93  																																																							| (946)  ~ (all_0_92_92 = e0)
% 41.34/12.93  																																																							| (604) all_0_93_93 = e0
% 41.34/12.93  																																																							|
% 41.34/12.93  																																																								| Combining equations (604,566) yields a new equation:
% 41.34/12.93  																																																								| (865) e1 = e0
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								| Equations (865) can reduce 264 to:
% 41.34/12.93  																																																								| (311) $false
% 41.34/12.93  																																																								|
% 41.34/12.93  																																																								|-The branch is then unsatisfiable
% 41.34/12.93  																																																				|-Branch two:
% 41.34/12.93  																																																				| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.93  																																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.93  																																																				|
% 41.34/12.93  																																																					+-Applying beta-rule and splitting (788), into two cases.
% 41.34/12.93  																																																					|-Branch one:
% 41.34/12.93  																																																					| (960) all_0_96_96 = e1
% 41.34/12.93  																																																					|
% 41.34/12.93  																																																						| Equations (960) can reduce 1479 to:
% 41.34/12.93  																																																						| (311) $false
% 41.34/12.93  																																																						|
% 41.34/12.93  																																																						|-The branch is then unsatisfiable
% 41.34/12.93  																																																					|-Branch two:
% 41.34/12.93  																																																					| (1479)  ~ (all_0_96_96 = e1)
% 41.34/12.94  																																																					| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.94  																																																					|
% 41.34/12.94  																																																						+-Applying beta-rule and splitting (2126), into two cases.
% 41.34/12.94  																																																						|-Branch one:
% 41.34/12.94  																																																						| (542) all_0_97_97 = e1
% 41.34/12.94  																																																						|
% 41.34/12.94  																																																							| Equations (542) can reduce 486 to:
% 41.34/12.94  																																																							| (311) $false
% 41.34/12.94  																																																							|
% 41.34/12.94  																																																							|-The branch is then unsatisfiable
% 41.34/12.94  																																																						|-Branch two:
% 41.34/12.94  																																																						| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.94  																																																						| (1543) all_0_98_98 = e1
% 41.34/12.94  																																																						|
% 41.34/12.94  																																																							| Combining equations (525,1543) yields a new equation:
% 41.34/12.94  																																																							| (408) e2 = e1
% 41.34/12.94  																																																							|
% 41.34/12.94  																																																							| Simplifying 408 yields:
% 41.34/12.94  																																																							| (385) e2 = e1
% 41.34/12.94  																																																							|
% 41.34/12.94  																																																							| Equations (385) can reduce 243 to:
% 41.34/12.94  																																																							| (311) $false
% 41.34/12.94  																																																							|
% 41.34/12.94  																																																							|-The branch is then unsatisfiable
% 41.34/12.94  																																																			|-Branch two:
% 41.34/12.94  																																																			| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.94  																																																			| (861) all_0_87_87 = e0
% 41.34/12.94  																																																			|
% 41.34/12.94  																																																				| Equations (861) can reduce 889 to:
% 41.34/12.94  																																																				| (311) $false
% 41.34/12.94  																																																				|
% 41.34/12.94  																																																				|-The branch is then unsatisfiable
% 41.34/12.94  																																																|-Branch two:
% 41.34/12.94  																																																| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.94  																																																| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 41.34/12.94  																																																|
% 41.34/12.94  																																																	+-Applying beta-rule and splitting (382), into two cases.
% 41.34/12.94  																																																	|-Branch one:
% 41.34/12.94  																																																	| (861) all_0_87_87 = e0
% 41.34/12.94  																																																	|
% 41.34/12.94  																																																		| Equations (861) can reduce 181 to:
% 41.34/12.94  																																																		| (2507)  ~ (all_0_88_88 = e0)
% 41.34/12.94  																																																		|
% 41.34/12.94  																																																		| Simplifying 2507 yields:
% 41.34/12.94  																																																		| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.94  																																																		|
% 41.34/12.94  																																																		+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.94  																																																		|-Branch one:
% 41.34/12.94  																																																		| (504) all_0_88_88 = e1
% 41.34/12.94  																																																		|
% 41.34/12.94  																																																			| Equations (504) can reduce 479 to:
% 41.34/12.94  																																																			| (311) $false
% 41.34/12.94  																																																			|
% 41.34/12.94  																																																			|-The branch is then unsatisfiable
% 41.34/12.94  																																																		|-Branch two:
% 41.34/12.94  																																																		| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.94  																																																		| (507) all_0_88_88 = e0
% 41.34/12.94  																																																		|
% 41.34/12.94  																																																			| Equations (507) can reduce 1110 to:
% 41.34/12.94  																																																			| (311) $false
% 41.34/12.94  																																																			|
% 41.34/12.94  																																																			|-The branch is then unsatisfiable
% 41.34/12.94  																																																	|-Branch two:
% 41.34/12.94  																																																	| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.94  																																																	| (507) all_0_88_88 = e0
% 41.34/12.94  																																																	|
% 41.34/12.94  																																																		| Equations (507) can reduce 1110 to:
% 41.34/12.94  																																																		| (311) $false
% 41.34/12.94  																																																		|
% 41.34/12.94  																																																		|-The branch is then unsatisfiable
% 41.34/12.94  																																										|-Branch two:
% 41.34/12.94  																																										| (1619)  ~ (all_0_92_92 = e4)
% 41.34/12.94  																																										| (607) all_0_93_93 = e4
% 41.34/12.94  																																										|
% 41.34/12.94  																																											| Equations (607) can reduce 496 to:
% 41.34/12.94  																																											| (311) $false
% 41.34/12.94  																																											|
% 41.34/12.94  																																											|-The branch is then unsatisfiable
% 41.34/12.94  																																						|-Branch two:
% 41.34/12.94  																																						| (422)  ~ (all_0_84_84 = e3)
% 41.34/12.94  																																						| (804) all_0_85_85 = e3
% 41.34/12.94  																																						|
% 41.34/12.94  																																							| Equations (804) can reduce 952 to:
% 41.34/12.94  																																							| (311) $false
% 41.34/12.94  																																							|
% 41.34/12.94  																																							|-The branch is then unsatisfiable
% 41.34/12.94  																																		|-Branch two:
% 41.34/12.94  																																		| (914)  ~ (all_0_82_82 = e0)
% 41.34/12.94  																																		| (469) all_0_82_82 = e4
% 41.34/12.94  																																		|
% 41.34/12.94  																																			| Equations (469) can reduce 465 to:
% 41.34/12.94  																																			| (311) $false
% 41.34/12.94  																																			|
% 41.34/12.94  																																			|-The branch is then unsatisfiable
% 41.34/12.94  																										|-Branch two:
% 41.34/12.94  																										| (394)  ~ (all_0_80_80 = e2)
% 41.34/12.94  																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 41.34/12.94  																										|
% 41.34/12.94  																											+-Applying beta-rule and splitting (205), into two cases.
% 41.34/12.94  																											|-Branch one:
% 41.34/12.94  																											| (473) all_0_81_81 = e2
% 41.34/12.94  																											|
% 41.34/12.94  																												| Combining equations (635,473) yields a new equation:
% 41.34/12.94  																												| (547) e3 = e2
% 41.34/12.94  																												|
% 41.34/12.94  																												| Simplifying 547 yields:
% 41.34/12.94  																												| (548) e3 = e2
% 41.34/12.94  																												|
% 41.34/12.94  																												| Equations (548) can reduce 169 to:
% 41.34/12.94  																												| (311) $false
% 41.34/12.94  																												|
% 41.34/12.94  																												|-The branch is then unsatisfiable
% 41.34/12.94  																											|-Branch two:
% 41.34/12.94  																											| (396)  ~ (all_0_81_81 = e2)
% 41.34/12.94  																											| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 41.34/12.94  																											|
% 41.34/12.94  																												| Equations (635) can reduce 396 to:
% 41.34/12.94  																												| (169)  ~ (e3 = e2)
% 41.34/12.94  																												|
% 41.34/12.94  																												+-Applying beta-rule and splitting (192), into two cases.
% 41.34/12.94  																												|-Branch one:
% 41.34/12.94  																												| (546) all_0_80_80 = e2
% 41.34/12.94  																												|
% 41.34/12.94  																													| Equations (546) can reduce 394 to:
% 41.34/12.94  																													| (311) $false
% 41.34/12.94  																													|
% 41.34/12.94  																													|-The branch is then unsatisfiable
% 41.34/12.94  																												|-Branch two:
% 41.34/12.94  																												| (394)  ~ (all_0_80_80 = e2)
% 41.34/12.94  																												| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 41.34/12.94  																												|
% 41.34/12.94  																													+-Applying beta-rule and splitting (1658), into two cases.
% 41.34/12.94  																													|-Branch one:
% 41.34/12.94  																													| (390) all_0_79_79 = e2
% 41.34/12.94  																													|
% 41.34/12.94  																														| Combining equations (390,457) yields a new equation:
% 41.34/12.94  																														| (408) e2 = e1
% 41.34/12.94  																														|
% 41.34/12.94  																														| Simplifying 408 yields:
% 41.34/12.94  																														| (385) e2 = e1
% 41.34/12.94  																														|
% 41.34/12.94  																														| Equations (385) can reduce 243 to:
% 41.34/12.94  																														| (311) $false
% 41.34/12.94  																														|
% 41.34/12.94  																														|-The branch is then unsatisfiable
% 41.34/12.94  																													|-Branch two:
% 41.34/12.94  																													| (1622)  ~ (all_0_79_79 = e2)
% 41.34/12.94  																													| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 41.34/12.94  																													|
% 41.34/12.94  																														+-Applying beta-rule and splitting (3249), into two cases.
% 41.34/12.94  																														|-Branch one:
% 41.34/12.94  																														| (546) all_0_80_80 = e2
% 41.34/12.94  																														|
% 41.34/12.94  																															| Equations (546) can reduce 394 to:
% 41.34/12.94  																															| (311) $false
% 41.34/12.94  																															|
% 41.34/12.94  																															|-The branch is then unsatisfiable
% 41.34/12.94  																														|-Branch two:
% 41.34/12.94  																														| (394)  ~ (all_0_80_80 = e2)
% 41.34/12.94  																														| (473) all_0_81_81 = e2
% 41.34/12.94  																														|
% 41.34/12.94  																															| Combining equations (635,473) yields a new equation:
% 41.34/12.94  																															| (547) e3 = e2
% 41.34/12.94  																															|
% 41.34/12.94  																															| Simplifying 547 yields:
% 41.34/12.94  																															| (548) e3 = e2
% 41.34/12.94  																															|
% 41.34/12.94  																															| Equations (548) can reduce 169 to:
% 41.34/12.94  																															| (311) $false
% 41.34/12.94  																															|
% 41.34/12.94  																															|-The branch is then unsatisfiable
% 41.34/12.94  																									|-Branch two:
% 41.34/12.94  																									| (420)  ~ (all_0_81_81 = e3)
% 41.34/12.94  																									| (638) all_0_81_81 = e4
% 41.34/12.94  																									|
% 41.34/12.94  																										| Equations (638) can reduce 634 to:
% 41.34/12.94  																										| (311) $false
% 41.34/12.94  																										|
% 41.34/12.94  																										|-The branch is then unsatisfiable
% 41.34/12.94  																					|-Branch two:
% 41.34/12.94  																					| (640)  ~ (all_0_78_78 = e4)
% 41.34/12.94  																					| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 41.34/12.94  																					|
% 41.34/12.94  																						+-Applying beta-rule and splitting (675), into two cases.
% 41.34/12.94  																						|-Branch one:
% 41.34/12.94  																						| (676) all_0_78_78 = e1
% 41.34/12.94  																						|
% 41.34/12.94  																							| Equations (676) can reduce 1601 to:
% 41.34/12.94  																							| (311) $false
% 41.34/12.94  																							|
% 41.34/12.94  																							|-The branch is then unsatisfiable
% 41.34/12.94  																						|-Branch two:
% 41.34/12.94  																						| (1601)  ~ (all_0_78_78 = e1)
% 41.34/12.94  																						| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 41.34/12.94  																						|
% 41.34/12.94  																							+-Applying beta-rule and splitting (1606), into two cases.
% 41.34/12.94  																							|-Branch one:
% 41.34/12.94  																							| (771) all_0_78_78 = e3
% 41.34/12.94  																							|
% 41.34/12.94  																								| Equations (771) can reduce 67 to:
% 41.34/12.94  																								| (3267)  ~ (all_0_80_80 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Simplifying 3267 yields:
% 41.34/12.94  																								| (2347)  ~ (all_0_80_80 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 278 to:
% 41.34/12.94  																								| (419)  ~ (all_0_81_81 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Simplifying 419 yields:
% 41.34/12.94  																								| (420)  ~ (all_0_81_81 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 193 to:
% 41.34/12.94  																								| (3271)  ~ (all_0_82_82 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Simplifying 3271 yields:
% 41.34/12.94  																								| (793)  ~ (all_0_82_82 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 85 to:
% 41.34/12.94  																								| (1815)  ~ (all_0_90_90 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Simplifying 1815 yields:
% 41.34/12.94  																								| (745)  ~ (all_0_90_90 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 125 to:
% 41.34/12.94  																								| (1070)  ~ (all_0_95_95 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Simplifying 1070 yields:
% 41.34/12.94  																								| (765)  ~ (all_0_95_95 = e3)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 1601 to:
% 41.34/12.94  																								| (20)  ~ (e3 = e1)
% 41.34/12.94  																								|
% 41.34/12.94  																								| Equations (771) can reduce 86 to:
% 41.34/12.94  																								| (50)  ~ (e3 = e0)
% 41.34/12.94  																								|
% 41.34/12.94  																								| From (771) and (37) follows:
% 41.34/12.94  																								| (3279) op(e3, e4) = all_0_0_0
% 41.34/12.94  																								|
% 41.34/12.94  																								| From (771) and (136) follows:
% 41.34/12.94  																								| (3280) op(e3, e3) = all_0_1_1
% 41.34/12.94  																								|
% 41.34/12.94  																								| From (771) and (263) follows:
% 41.34/12.94  																								| (3281) op(e4, e3) = e3
% 41.34/12.94  																								|
% 41.34/12.94  																								| Instantiating formula (262) with e3, e4, all_0_0_0, e1 and discharging atoms op(e3, e4) = all_0_0_0, op(e3, e4) = e1, yields:
% 41.34/12.94  																								| (3282) all_0_0_0 = e1
% 41.34/12.94  																								|
% 41.34/12.94  																								| Instantiating formula (262) with e3, e3, all_0_1_1, all_0_82_82 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = all_0_82_82, yields:
% 41.34/12.94  																								| (3283) all_0_1_1 = all_0_82_82
% 41.34/12.94  																								|
% 41.34/12.94  																								| From (3282) and (3279) follows:
% 41.34/12.94  																								| (225) op(e3, e4) = e1
% 41.34/12.94  																								|
% 41.34/12.94  																								| From (3283) and (3280) follows:
% 41.34/12.94  																								| (61) op(e3, e3) = all_0_82_82
% 41.34/12.94  																								|
% 41.34/12.94  																								+-Applying beta-rule and splitting (45), into two cases.
% 41.34/12.94  																								|-Branch one:
% 41.34/12.94  																								| (546) all_0_80_80 = e2
% 41.34/12.94  																								|
% 41.34/12.94  																									| Equations (546) can reduce 73 to:
% 41.34/12.94  																									| (348)  ~ (all_0_87_87 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Simplifying 348 yields:
% 41.34/12.94  																									| (349)  ~ (all_0_87_87 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Equations (546) can reduce 49 to:
% 41.34/12.94  																									| (297)  ~ (all_0_92_92 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Simplifying 297 yields:
% 41.34/12.94  																									| (298)  ~ (all_0_92_92 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Equations (546) can reduce 202 to:
% 41.34/12.94  																									| (2376)  ~ (all_0_97_97 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Simplifying 2376 yields:
% 41.34/12.94  																									| (527)  ~ (all_0_97_97 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Equations (546) can reduce 2347 to:
% 41.34/12.94  																									| (356)  ~ (e3 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Simplifying 356 yields:
% 41.34/12.94  																									| (169)  ~ (e3 = e2)
% 41.34/12.94  																									|
% 41.34/12.94  																									| Equations (546) can reduce 828 to:
% 41.34/12.94  																									| (243)  ~ (e2 = e1)
% 41.34/12.94  																									|
% 41.34/12.94  																									| From (546) and (233) follows:
% 41.34/12.94  																									| (3296) op(e1, e2) = all_0_60_60
% 41.34/12.94  																									|
% 41.34/12.94  																									+-Applying beta-rule and splitting (97), into two cases.
% 41.34/12.94  																									|-Branch one:
% 41.34/12.94  																									| (1757) all_0_94_94 = e2
% 41.34/12.94  																									|
% 41.34/12.94  																										| Combining equations (1757,313) yields a new equation:
% 41.34/12.94  																										| (310) e4 = e2
% 41.34/12.94  																										|
% 41.34/12.94  																										| Equations (310) can reduce 79 to:
% 41.34/12.94  																										| (311) $false
% 41.34/12.94  																										|
% 41.34/12.94  																										|-The branch is then unsatisfiable
% 41.34/12.94  																									|-Branch two:
% 41.34/12.94  																									| (1761)  ~ (all_0_94_94 = e2)
% 41.34/12.94  																									| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.34/12.94  																									|
% 41.34/12.94  																										| Equations (313) can reduce 1761 to:
% 41.34/12.94  																										| (79)  ~ (e4 = e2)
% 41.34/12.94  																										|
% 41.34/12.94  																										+-Applying beta-rule and splitting (1762), into two cases.
% 41.34/12.94  																										|-Branch one:
% 41.34/12.94  																										| (767) all_0_95_95 = e2
% 41.34/12.94  																										|
% 41.34/12.94  																											| Equations (767) can reduce 355 to:
% 41.34/12.94  																											| (311) $false
% 41.34/12.94  																											|
% 41.34/12.94  																											|-The branch is then unsatisfiable
% 41.34/12.94  																										|-Branch two:
% 41.34/12.94  																										| (355)  ~ (all_0_95_95 = e2)
% 41.34/12.94  																										| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.34/12.94  																										|
% 41.34/12.94  																											+-Applying beta-rule and splitting (1772), into two cases.
% 41.34/12.94  																											|-Branch one:
% 41.34/12.94  																											| (1704) all_0_96_96 = e2
% 41.34/12.94  																											|
% 41.34/12.94  																												| Equations (1704) can reduce 1638 to:
% 41.34/12.94  																												| (311) $false
% 41.34/12.94  																												|
% 41.34/12.94  																												|-The branch is then unsatisfiable
% 41.34/12.94  																											|-Branch two:
% 41.34/12.94  																											| (1638)  ~ (all_0_96_96 = e2)
% 41.34/12.94  																											| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 41.34/12.94  																											|
% 41.34/12.94  																												+-Applying beta-rule and splitting (641), into two cases.
% 41.34/12.94  																												|-Branch one:
% 41.34/12.94  																												| (433) all_0_80_80 = e4
% 41.34/12.94  																												|
% 41.34/12.94  																													| Combining equations (546,433) yields a new equation:
% 41.34/12.94  																													| (310) e4 = e2
% 41.34/12.94  																													|
% 41.34/12.94  																													| Equations (310) can reduce 79 to:
% 41.34/12.94  																													| (311) $false
% 41.34/12.94  																													|
% 41.34/12.94  																													|-The branch is then unsatisfiable
% 41.34/12.94  																												|-Branch two:
% 41.34/12.94  																												| (436)  ~ (all_0_80_80 = e4)
% 41.34/12.94  																												| (638) all_0_81_81 = e4
% 41.34/12.94  																												|
% 41.34/12.94  																													| Equations (638) can reduce 118 to:
% 41.34/12.94  																													| (647)  ~ (all_0_85_85 = e4)
% 41.34/12.94  																													|
% 41.34/12.94  																													| Simplifying 647 yields:
% 41.34/12.94  																													| (648)  ~ (all_0_85_85 = e4)
% 41.34/12.94  																													|
% 41.34/12.94  																													| Equations (638) can reduce 420 to:
% 41.34/12.94  																													| (177)  ~ (e4 = e3)
% 41.34/12.94  																													|
% 41.34/12.94  																													| Equations (638) can reduce 257 to:
% 41.34/12.94  																													| (23)  ~ (e4 = e0)
% 41.34/12.94  																													|
% 41.34/12.94  																													| From (638) and (19) follows:
% 41.34/12.95  																													| (3320) op(e4, e4) = all_0_6_6
% 41.34/12.95  																													|
% 41.34/12.95  																													| From (638) and (68) follows:
% 41.34/12.95  																													| (657) op(e4, e4) = all_0_70_70
% 41.34/12.95  																													|
% 41.34/12.95  																													+-Applying beta-rule and splitting (1783), into two cases.
% 41.34/12.95  																													|-Branch one:
% 41.34/12.95  																													| (538) all_0_97_97 = e2
% 41.34/12.95  																													|
% 41.34/12.95  																														| Equations (538) can reduce 527 to:
% 41.34/12.95  																														| (311) $false
% 41.34/12.95  																														|
% 41.34/12.95  																														|-The branch is then unsatisfiable
% 41.34/12.95  																													|-Branch two:
% 41.34/12.95  																													| (527)  ~ (all_0_97_97 = e2)
% 41.34/12.95  																													| (525) all_0_98_98 = e2
% 41.34/12.95  																													|
% 41.34/12.95  																														| Equations (525) can reduce 75 to:
% 41.34/12.95  																														| (515)  ~ (all_0_85_85 = e2)
% 41.34/12.95  																														|
% 41.34/12.95  																														| Equations (525) can reduce 13 to:
% 41.34/12.95  																														| (300)  ~ (all_0_93_93 = e2)
% 41.34/12.95  																														|
% 41.34/12.95  																														| Equations (525) can reduce 107 to:
% 41.34/12.95  																														| (355)  ~ (all_0_95_95 = e2)
% 41.34/12.95  																														|
% 41.34/12.95  																														| From (525) and (38) follows:
% 41.34/12.95  																														| (2408) op(e0, e0) = e2
% 41.34/12.95  																														|
% 41.34/12.95  																														| Instantiating formula (262) with e4, e4, all_0_6_6, e0 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = e0, yields:
% 41.34/12.95  																														| (3330) all_0_6_6 = e0
% 41.34/12.95  																														|
% 41.34/12.95  																														| Instantiating formula (262) with e4, e4, all_0_70_70, all_0_6_6 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = all_0_70_70, yields:
% 41.34/12.95  																														| (3331) all_0_6_6 = all_0_70_70
% 41.34/12.95  																														|
% 41.34/12.95  																														| Instantiating formula (262) with e1, e2, all_0_60_60, all_0_91_91 and discharging atoms op(e1, e2) = all_0_60_60, op(e1, e2) = all_0_91_91, yields:
% 41.34/12.95  																														| (3332) all_0_60_60 = all_0_91_91
% 41.34/12.95  																														|
% 41.34/12.95  																														| Combining equations (3330,3331) yields a new equation:
% 41.34/12.95  																														| (686) all_0_70_70 = e0
% 41.34/12.95  																														|
% 41.34/12.95  																														+-Applying beta-rule and splitting (109), into two cases.
% 41.34/12.95  																														|-Branch one:
% 41.34/12.95  																														| (469) all_0_82_82 = e4
% 41.34/12.95  																														|
% 41.34/12.95  																															| Equations (469) can reduce 7 to:
% 41.34/12.95  																															| (662)  ~ (all_0_84_84 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Simplifying 662 yields:
% 41.34/12.95  																															| (417)  ~ (all_0_84_84 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Equations (469) can reduce 209 to:
% 41.34/12.95  																															| (647)  ~ (all_0_85_85 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Simplifying 647 yields:
% 41.34/12.95  																															| (648)  ~ (all_0_85_85 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Equations (469) can reduce 200 to:
% 41.34/12.95  																															| (314)  ~ (all_0_95_95 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Simplifying 314 yields:
% 41.34/12.95  																															| (315)  ~ (all_0_95_95 = e4)
% 41.34/12.95  																															|
% 41.34/12.95  																															| Equations (469) can reduce 347 to:
% 41.34/12.95  																															| (79)  ~ (e4 = e2)
% 41.34/12.95  																															|
% 41.34/12.95  																															+-Applying beta-rule and splitting (210), into two cases.
% 41.34/12.95  																															|-Branch one:
% 41.34/12.95  																															| (433) all_0_80_80 = e4
% 41.34/12.95  																															|
% 41.34/12.95  																																| Combining equations (546,433) yields a new equation:
% 41.34/12.95  																																| (310) e4 = e2
% 41.34/12.95  																																|
% 41.34/12.95  																																| Equations (310) can reduce 79 to:
% 41.34/12.95  																																| (311) $false
% 41.34/12.95  																																|
% 41.34/12.95  																																|-The branch is then unsatisfiable
% 41.34/12.95  																															|-Branch two:
% 41.34/12.95  																															| (436)  ~ (all_0_80_80 = e4)
% 41.34/12.95  																															| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 41.34/12.95  																															|
% 41.34/12.95  																																+-Applying beta-rule and splitting (437), into two cases.
% 41.34/12.95  																																|-Branch one:
% 41.34/12.95  																																| (438) all_0_84_84 = e4
% 41.34/12.95  																																|
% 41.34/12.95  																																	| Equations (438) can reduce 417 to:
% 41.34/12.95  																																	| (311) $false
% 41.34/12.95  																																	|
% 41.34/12.95  																																	|-The branch is then unsatisfiable
% 41.34/12.95  																																|-Branch two:
% 41.34/12.95  																																| (417)  ~ (all_0_84_84 = e4)
% 41.34/12.95  																																| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 41.34/12.95  																																|
% 41.34/12.95  																																	+-Applying beta-rule and splitting (441), into two cases.
% 41.34/12.95  																																	|-Branch one:
% 41.34/12.95  																																	| (442) all_0_92_92 = e4
% 41.34/12.95  																																	|
% 41.34/12.95  																																		| Equations (442) can reduce 94 to:
% 41.34/12.95  																																		| (216)  ~ (all_0_87_87 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| Equations (442) can reduce 72 to:
% 41.34/12.95  																																		| (467)  ~ (all_0_90_90 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| Equations (442) can reduce 283 to:
% 41.34/12.95  																																		| (495)  ~ (all_0_93_93 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| Simplifying 495 yields:
% 41.34/12.95  																																		| (496)  ~ (all_0_93_93 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| Equations (442) can reduce 258 to:
% 41.34/12.95  																																		| (318)  ~ (all_0_97_97 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| Simplifying 318 yields:
% 41.34/12.95  																																		| (319)  ~ (all_0_97_97 = e4)
% 41.34/12.95  																																		|
% 41.34/12.95  																																		| From (442) and (135) follows:
% 41.34/12.95  																																		| (449) op(e1, e1) = e4
% 41.34/12.95  																																		|
% 41.34/12.95  																																		+-Applying beta-rule and splitting (282), into two cases.
% 41.34/12.95  																																		|-Branch one:
% 41.34/12.95  																																		| (754) all_0_90_90 = e3
% 41.34/12.95  																																		|
% 41.34/12.95  																																			| Equations (754) can reduce 745 to:
% 41.34/12.95  																																			| (311) $false
% 41.34/12.95  																																			|
% 41.34/12.95  																																			|-The branch is then unsatisfiable
% 41.34/12.95  																																		|-Branch two:
% 41.34/12.95  																																		| (745)  ~ (all_0_90_90 = e3)
% 41.34/12.95  																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.95  																																		|
% 41.34/12.95  																																			+-Applying beta-rule and splitting (254), into two cases.
% 41.34/12.95  																																			|-Branch one:
% 41.34/12.95  																																			| (910) all_0_82_82 = e0
% 41.34/12.95  																																			|
% 41.34/12.95  																																				| Combining equations (469,910) yields a new equation:
% 41.34/12.95  																																				| (911) e4 = e0
% 41.34/12.95  																																				|
% 41.34/12.95  																																				| Simplifying 911 yields:
% 41.34/12.95  																																				| (912) e4 = e0
% 41.34/12.95  																																				|
% 41.34/12.95  																																				| Equations (912) can reduce 23 to:
% 41.34/12.95  																																				| (311) $false
% 41.34/12.95  																																				|
% 41.34/12.95  																																				|-The branch is then unsatisfiable
% 41.34/12.95  																																			|-Branch two:
% 41.34/12.95  																																			| (914)  ~ (all_0_82_82 = e0)
% 41.34/12.95  																																			| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.34/12.95  																																			|
% 41.34/12.95  																																				+-Applying beta-rule and splitting (207), into two cases.
% 41.34/12.95  																																				|-Branch one:
% 41.34/12.95  																																				| (416) all_0_80_80 = e3
% 41.34/12.95  																																				|
% 41.34/12.95  																																					| Combining equations (546,416) yields a new equation:
% 41.34/12.95  																																					| (548) e3 = e2
% 41.34/12.95  																																					|
% 41.34/12.95  																																					| Equations (548) can reduce 169 to:
% 41.34/12.95  																																					| (311) $false
% 41.34/12.95  																																					|
% 41.34/12.95  																																					|-The branch is then unsatisfiable
% 41.34/12.95  																																				|-Branch two:
% 41.34/12.95  																																				| (2347)  ~ (all_0_80_80 = e3)
% 41.34/12.95  																																				| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.34/12.95  																																				|
% 41.34/12.95  																																					| Equations (546) can reduce 2347 to:
% 41.34/12.95  																																					| (356)  ~ (e3 = e2)
% 41.34/12.95  																																					|
% 41.34/12.95  																																					| Simplifying 356 yields:
% 41.34/12.95  																																					| (169)  ~ (e3 = e2)
% 41.34/12.95  																																					|
% 41.34/12.95  																																					+-Applying beta-rule and splitting (176), into two cases.
% 41.34/12.95  																																					|-Branch one:
% 41.34/12.95  																																					| (785) all_0_95_95 = e1
% 41.34/12.95  																																					|
% 41.34/12.95  																																						| Equations (785) can reduce 229 to:
% 41.34/12.95  																																						| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.95  																																						|
% 41.34/12.95  																																						| Equations (785) can reduce 315 to:
% 41.34/12.95  																																						| (681)  ~ (e4 = e1)
% 41.34/12.95  																																						|
% 41.34/12.95  																																						| Simplifying 681 yields:
% 41.34/12.95  																																						| (256)  ~ (e4 = e1)
% 41.34/12.95  																																						|
% 41.34/12.95  																																						+-Applying beta-rule and splitting (27), into two cases.
% 41.34/12.95  																																						|-Branch one:
% 41.34/12.95  																																						| (746) all_0_90_90 = e2
% 41.34/12.95  																																						|
% 41.34/12.95  																																							| Equations (746) can reduce 294 to:
% 41.34/12.95  																																							| (311) $false
% 41.34/12.95  																																							|
% 41.34/12.95  																																							|-The branch is then unsatisfiable
% 41.34/12.95  																																						|-Branch two:
% 41.34/12.95  																																						| (294)  ~ (all_0_90_90 = e2)
% 41.34/12.95  																																						| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 41.34/12.95  																																						|
% 41.34/12.95  																																							+-Applying beta-rule and splitting (749), into two cases.
% 41.34/12.95  																																							|-Branch one:
% 41.34/12.95  																																							| (750) all_0_90_90 = e1
% 41.34/12.95  																																							|
% 41.34/12.95  																																								| Equations (750) can reduce 678 to:
% 41.34/12.95  																																								| (311) $false
% 41.34/12.95  																																								|
% 41.34/12.95  																																								|-The branch is then unsatisfiable
% 41.34/12.95  																																							|-Branch two:
% 41.34/12.95  																																							| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.95  																																							| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 41.34/12.95  																																							|
% 41.34/12.95  																																								+-Applying beta-rule and splitting (753), into two cases.
% 41.34/12.95  																																								|-Branch one:
% 41.34/12.95  																																								| (754) all_0_90_90 = e3
% 41.34/12.95  																																								|
% 41.34/12.95  																																									| Equations (754) can reduce 745 to:
% 41.34/12.95  																																									| (311) $false
% 41.34/12.95  																																									|
% 41.34/12.95  																																									|-The branch is then unsatisfiable
% 41.34/12.95  																																								|-Branch two:
% 41.34/12.95  																																								| (745)  ~ (all_0_90_90 = e3)
% 41.34/12.95  																																								| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 41.34/12.95  																																								|
% 41.34/12.95  																																									+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.95  																																									|-Branch one:
% 41.34/12.95  																																									| (750) all_0_90_90 = e1
% 41.34/12.95  																																									|
% 41.34/12.95  																																										| Equations (750) can reduce 678 to:
% 41.34/12.95  																																										| (311) $false
% 41.34/12.95  																																										|
% 41.34/12.95  																																										|-The branch is then unsatisfiable
% 41.34/12.95  																																									|-Branch two:
% 41.34/12.95  																																									| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.95  																																									| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.95  																																									|
% 41.34/12.95  																																										+-Applying beta-rule and splitting (1526), into two cases.
% 41.34/12.95  																																										|-Branch one:
% 41.34/12.95  																																										| (801) all_0_91_91 = e1
% 41.34/12.95  																																										|
% 41.34/12.95  																																											| Equations (801) can reduce 959 to:
% 41.34/12.95  																																											| (311) $false
% 41.34/12.95  																																											|
% 41.34/12.95  																																											|-The branch is then unsatisfiable
% 41.34/12.95  																																										|-Branch two:
% 41.34/12.95  																																										| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.95  																																										| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.95  																																										|
% 41.34/12.95  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 41.34/12.95  																																											|-Branch one:
% 41.34/12.95  																																											| (836) all_0_92_92 = e1
% 41.34/12.95  																																											|
% 41.34/12.95  																																												| Combining equations (836,442) yields a new equation:
% 41.34/12.95  																																												| (814) e4 = e1
% 41.34/12.95  																																												|
% 41.34/12.95  																																												| Equations (814) can reduce 256 to:
% 41.34/12.95  																																												| (311) $false
% 41.34/12.95  																																												|
% 41.34/12.95  																																												|-The branch is then unsatisfiable
% 41.34/12.95  																																											|-Branch two:
% 41.34/12.95  																																											| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.95  																																											| (566) all_0_93_93 = e1
% 41.34/12.95  																																											|
% 41.34/12.95  																																												| Equations (566) can reduce 286 to:
% 41.34/12.95  																																												| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.95  																																												|
% 41.34/12.95  																																												| Equations (566) can reduce 44 to:
% 41.34/12.95  																																												| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.95  																																												|
% 41.34/12.95  																																												+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.95  																																												|-Branch one:
% 41.34/12.95  																																												| (504) all_0_88_88 = e1
% 41.34/12.95  																																												|
% 41.34/12.95  																																													| Equations (504) can reduce 479 to:
% 41.34/12.95  																																													| (311) $false
% 41.34/12.95  																																													|
% 41.34/12.95  																																													|-The branch is then unsatisfiable
% 41.34/12.95  																																												|-Branch two:
% 41.34/12.95  																																												| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.95  																																												| (507) all_0_88_88 = e0
% 41.34/12.95  																																												|
% 41.34/12.95  																																													| Equations (507) can reduce 181 to:
% 41.34/12.95  																																													| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.95  																																													|
% 41.34/12.95  																																													+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.95  																																													|-Branch one:
% 41.34/12.95  																																													| (482) all_0_87_87 = e1
% 41.34/12.95  																																													|
% 41.34/12.95  																																														| Equations (482) can reduce 349 to:
% 41.34/12.95  																																														| (487)  ~ (e2 = e1)
% 41.34/12.95  																																														|
% 41.34/12.95  																																														| Simplifying 487 yields:
% 41.34/12.95  																																														| (243)  ~ (e2 = e1)
% 41.34/12.95  																																														|
% 41.34/12.95  																																														+-Applying beta-rule and splitting (757), into two cases.
% 41.34/12.95  																																														|-Branch one:
% 41.34/12.95  																																														| (758) all_0_90_90 = e0
% 41.34/12.95  																																														|
% 41.34/12.95  																																															| Equations (758) can reduce 103 to:
% 41.34/12.95  																																															| (1830)  ~ (all_0_91_91 = e0)
% 41.34/12.95  																																															|
% 41.34/12.95  																																															| Simplifying 1830 yields:
% 41.34/12.95  																																															| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.95  																																															|
% 41.34/12.95  																																															+-Applying beta-rule and splitting (1726), into two cases.
% 41.34/12.95  																																															|-Branch one:
% 41.34/12.95  																																															| (801) all_0_91_91 = e1
% 41.34/12.95  																																															|
% 41.34/12.95  																																																| Equations (801) can reduce 959 to:
% 41.34/12.95  																																																| (311) $false
% 41.34/12.95  																																																|
% 41.34/12.95  																																																|-The branch is then unsatisfiable
% 41.34/12.95  																																															|-Branch two:
% 41.34/12.95  																																															| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.95  																																															| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.34/12.95  																																															|
% 41.34/12.95  																																																+-Applying beta-rule and splitting (1880), into two cases.
% 41.34/12.95  																																																|-Branch one:
% 41.34/12.95  																																																| (588) all_0_91_91 = e3
% 41.34/12.95  																																																|
% 41.34/12.95  																																																	| From (588) and (1703) follows:
% 41.34/12.95  																																																	| (1844) op(e2, e3) = e1
% 41.34/12.95  																																																	|
% 41.34/12.95  																																																	| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.34/12.95  																																																	| (385) e2 = e1
% 41.34/12.95  																																																	|
% 41.34/12.95  																																																	| Equations (385) can reduce 243 to:
% 41.34/12.95  																																																	| (311) $false
% 41.34/12.95  																																																	|
% 41.34/12.95  																																																	|-The branch is then unsatisfiable
% 41.34/12.95  																																																|-Branch two:
% 41.34/12.95  																																																| (571)  ~ (all_0_91_91 = e3)
% 41.34/12.95  																																																| (1456) all_0_91_91 = e0
% 41.34/12.95  																																																|
% 41.34/12.95  																																																	| Equations (1456) can reduce 1487 to:
% 41.34/12.95  																																																	| (311) $false
% 41.34/12.95  																																																	|
% 41.34/12.95  																																																	|-The branch is then unsatisfiable
% 41.34/12.95  																																														|-Branch two:
% 41.34/12.95  																																														| (762)  ~ (all_0_90_90 = e0)
% 41.34/12.95  																																														| (583) all_0_90_90 = e4
% 41.34/12.95  																																														|
% 41.34/12.95  																																															| Equations (583) can reduce 467 to:
% 41.34/12.95  																																															| (311) $false
% 41.34/12.95  																																															|
% 41.34/12.95  																																															|-The branch is then unsatisfiable
% 41.34/12.95  																																													|-Branch two:
% 41.34/12.95  																																													| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.95  																																													| (861) all_0_87_87 = e0
% 41.34/12.95  																																													|
% 41.34/12.95  																																														| Equations (861) can reduce 889 to:
% 41.34/12.95  																																														| (311) $false
% 41.34/12.95  																																														|
% 41.34/12.95  																																														|-The branch is then unsatisfiable
% 41.34/12.95  																																					|-Branch two:
% 41.34/12.95  																																					| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.95  																																					| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.95  																																					|
% 41.34/12.95  																																						+-Applying beta-rule and splitting (788), into two cases.
% 41.34/12.95  																																						|-Branch one:
% 41.34/12.95  																																						| (960) all_0_96_96 = e1
% 41.34/12.95  																																						|
% 41.34/12.95  																																							| Equations (960) can reduce 1479 to:
% 41.34/12.95  																																							| (311) $false
% 41.34/12.95  																																							|
% 41.34/12.95  																																							|-The branch is then unsatisfiable
% 41.34/12.95  																																						|-Branch two:
% 41.34/12.95  																																						| (1479)  ~ (all_0_96_96 = e1)
% 41.34/12.95  																																						| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.34/12.95  																																						|
% 41.34/12.95  																																							+-Applying beta-rule and splitting (2126), into two cases.
% 41.34/12.95  																																							|-Branch one:
% 41.34/12.95  																																							| (542) all_0_97_97 = e1
% 41.34/12.95  																																							|
% 41.34/12.95  																																								| Equations (542) can reduce 105 to:
% 41.34/12.95  																																								| (680)  ~ (all_0_95_95 = e1)
% 41.34/12.95  																																								|
% 41.34/12.95  																																								| Equations (542) can reduce 22 to:
% 41.34/12.95  																																								| (1479)  ~ (all_0_96_96 = e1)
% 41.34/12.95  																																								|
% 41.34/12.95  																																								| Equations (542) can reduce 319 to:
% 41.34/12.95  																																								| (681)  ~ (e4 = e1)
% 41.34/12.95  																																								|
% 41.34/12.95  																																								| Simplifying 681 yields:
% 41.34/12.95  																																								| (256)  ~ (e4 = e1)
% 41.34/12.95  																																								|
% 41.34/12.95  																																								| From (542) and (252) follows:
% 41.34/12.95  																																								| (3446) op(e1, e1) = all_0_67_67
% 41.34/12.95  																																								|
% 41.34/12.95  																																								+-Applying beta-rule and splitting (270), into two cases.
% 41.34/12.95  																																								|-Branch one:
% 41.34/12.95  																																								| (744) all_0_95_95 = e3
% 41.34/12.95  																																								|
% 41.34/12.95  																																									| Equations (744) can reduce 765 to:
% 41.34/12.95  																																									| (311) $false
% 41.34/12.95  																																									|
% 41.34/12.95  																																									|-The branch is then unsatisfiable
% 41.34/12.95  																																								|-Branch two:
% 41.34/12.95  																																								| (765)  ~ (all_0_95_95 = e3)
% 41.34/12.95  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.34/12.95  																																								|
% 41.34/12.95  																																									+-Applying beta-rule and splitting (766), into two cases.
% 41.34/12.95  																																									|-Branch one:
% 41.34/12.95  																																									| (778) all_0_96_96 = e3
% 41.34/12.95  																																									|
% 41.34/12.95  																																										| Equations (778) can reduce 279 to:
% 41.34/12.95  																																										| (765)  ~ (all_0_95_95 = e3)
% 41.34/12.95  																																										|
% 41.34/12.95  																																										| Equations (778) can reduce 115 to:
% 41.34/12.95  																																										| (783)  ~ (e4 = e3)
% 41.34/12.95  																																										|
% 41.34/12.95  																																										| Simplifying 783 yields:
% 41.34/12.95  																																										| (177)  ~ (e4 = e3)
% 41.34/12.95  																																										|
% 41.34/12.95  																																										| Equations (778) can reduce 1479 to:
% 41.34/12.95  																																										| (20)  ~ (e3 = e1)
% 41.34/12.95  																																										|
% 41.34/12.95  																																										+-Applying beta-rule and splitting (1400), into two cases.
% 41.34/12.95  																																										|-Branch one:
% 41.34/12.95  																																										| (1456) all_0_91_91 = e0
% 41.34/12.95  																																										|
% 41.34/12.95  																																											| Combining equations (1456,3332) yields a new equation:
% 41.34/12.96  																																											| (3457) all_0_60_60 = e0
% 41.34/12.96  																																											|
% 41.34/12.96  																																											| Equations (1456) can reduce 103 to:
% 41.34/12.96  																																											| (762)  ~ (all_0_90_90 = e0)
% 41.34/12.96  																																											|
% 41.34/12.96  																																											| Equations (1456) can reduce 296 to:
% 41.34/12.96  																																											| (510)  ~ (e2 = e0)
% 41.34/12.96  																																											|
% 41.34/12.96  																																											| Simplifying 510 yields:
% 41.34/12.96  																																											| (76)  ~ (e2 = e0)
% 41.34/12.96  																																											|
% 41.34/12.96  																																											| From (1456) and (51) follows:
% 41.34/12.96  																																											| (3461) op(e1, e0) = all_0_57_57
% 41.34/12.96  																																											|
% 41.34/12.96  																																											+-Applying beta-rule and splitting (102), into two cases.
% 41.34/12.96  																																											|-Branch one:
% 41.34/12.96  																																											| (858) all_0_95_95 = e0
% 41.34/12.96  																																											|
% 41.34/12.96  																																												| Equations (858) can reduce 765 to:
% 41.34/12.96  																																												| (906)  ~ (e3 = e0)
% 41.34/12.96  																																												|
% 41.34/12.96  																																												| Simplifying 906 yields:
% 41.34/12.96  																																												| (50)  ~ (e3 = e0)
% 41.34/12.96  																																												|
% 41.34/12.96  																																												| Equations (858) can reduce 680 to:
% 41.34/12.96  																																												| (859)  ~ (e1 = e0)
% 41.34/12.96  																																												|
% 41.34/12.96  																																												| Simplifying 859 yields:
% 41.34/12.96  																																												| (264)  ~ (e1 = e0)
% 41.34/12.96  																																												|
% 41.34/12.96  																																												+-Applying beta-rule and splitting (849), into two cases.
% 41.34/12.96  																																												|-Branch one:
% 41.34/12.96  																																												| (588) all_0_91_91 = e3
% 41.34/12.96  																																												|
% 41.34/12.96  																																													| Combining equations (588,1456) yields a new equation:
% 41.34/12.96  																																													| (599) e3 = e0
% 41.34/12.96  																																													|
% 41.34/12.96  																																													| Simplifying 599 yields:
% 41.34/12.96  																																													| (600) e3 = e0
% 41.34/12.96  																																													|
% 41.34/12.96  																																													| Equations (600) can reduce 50 to:
% 41.34/12.96  																																													| (311) $false
% 41.34/12.96  																																													|
% 41.34/12.96  																																													|-The branch is then unsatisfiable
% 41.34/12.96  																																												|-Branch two:
% 41.34/12.96  																																												| (571)  ~ (all_0_91_91 = e3)
% 41.34/12.96  																																												| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.34/12.96  																																												|
% 41.34/12.96  																																													+-Applying beta-rule and splitting (881), into two cases.
% 41.34/12.96  																																													|-Branch one:
% 41.34/12.96  																																													| (882) all_0_92_92 = e3
% 41.34/12.96  																																													|
% 41.34/12.96  																																														| Combining equations (442,882) yields a new equation:
% 41.34/12.96  																																														| (790) e4 = e3
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Simplifying 790 yields:
% 41.34/12.96  																																														| (434) e4 = e3
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Equations (434) can reduce 177 to:
% 41.34/12.96  																																														| (311) $false
% 41.34/12.96  																																														|
% 41.34/12.96  																																														|-The branch is then unsatisfiable
% 41.34/12.96  																																													|-Branch two:
% 41.34/12.96  																																													| (426)  ~ (all_0_92_92 = e3)
% 41.34/12.96  																																													| (570) all_0_93_93 = e3
% 41.34/12.96  																																													|
% 41.34/12.96  																																														| Equations (570) can reduce 201 to:
% 41.34/12.96  																																														| (952)  ~ (all_0_85_85 = e3)
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Equations (570) can reduce 286 to:
% 41.34/12.96  																																														| (191)  ~ (all_0_88_88 = e3)
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Equations (570) can reduce 496 to:
% 41.34/12.96  																																														| (783)  ~ (e4 = e3)
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Simplifying 783 yields:
% 41.34/12.96  																																														| (177)  ~ (e4 = e3)
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| Equations (570) can reduce 300 to:
% 41.34/12.96  																																														| (169)  ~ (e3 = e2)
% 41.34/12.96  																																														|
% 41.34/12.96  																																														| From (570) and (231) follows:
% 41.34/12.96  																																														| (573) op(e1, e0) = e3
% 41.34/12.96  																																														|
% 41.34/12.96  																																														+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.96  																																														|-Branch one:
% 41.34/12.96  																																														| (750) all_0_90_90 = e1
% 41.34/12.96  																																														|
% 41.34/12.96  																																															| From (750) and (218) follows:
% 41.34/12.96  																																															| (3486) op(e1, e3) = e1
% 41.34/12.96  																																															|
% 41.34/12.96  																																															+-Applying beta-rule and splitting (171), into two cases.
% 41.34/12.96  																																															|-Branch one:
% 41.34/12.96  																																															| (789) all_0_82_82 = e3
% 41.34/12.96  																																															|
% 41.34/12.96  																																																| Combining equations (469,789) yields a new equation:
% 41.34/12.96  																																																| (790) e4 = e3
% 41.34/12.96  																																																|
% 41.34/12.96  																																																| Simplifying 790 yields:
% 41.34/12.96  																																																| (434) e4 = e3
% 41.34/12.96  																																																|
% 41.34/12.96  																																																| Equations (434) can reduce 177 to:
% 41.34/12.96  																																																| (311) $false
% 41.34/12.96  																																																|
% 41.34/12.96  																																																|-The branch is then unsatisfiable
% 41.34/12.96  																																															|-Branch two:
% 41.34/12.96  																																															| (793)  ~ (all_0_82_82 = e3)
% 41.34/12.96  																																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.34/12.96  																																															|
% 41.34/12.96  																																																+-Applying beta-rule and splitting (182), into two cases.
% 41.34/12.96  																																																|-Branch one:
% 41.34/12.96  																																																| (512) all_0_85_85 = e2
% 41.34/12.96  																																																|
% 41.34/12.96  																																																	| Equations (512) can reduce 515 to:
% 41.34/12.96  																																																	| (311) $false
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	|-The branch is then unsatisfiable
% 41.34/12.96  																																																|-Branch two:
% 41.34/12.96  																																																| (515)  ~ (all_0_85_85 = e2)
% 41.34/12.96  																																																| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 41.34/12.96  																																																|
% 41.34/12.96  																																																	+-Applying beta-rule and splitting (1296), into two cases.
% 41.34/12.96  																																																	|-Branch one:
% 41.34/12.96  																																																	| (795) all_0_83_83 = e3
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																		| Combining equations (453,795) yields a new equation:
% 41.34/12.96  																																																		| (548) e3 = e2
% 41.34/12.96  																																																		|
% 41.34/12.96  																																																		| Equations (548) can reduce 169 to:
% 41.34/12.96  																																																		| (311) $false
% 41.34/12.96  																																																		|
% 41.34/12.96  																																																		|-The branch is then unsatisfiable
% 41.34/12.96  																																																	|-Branch two:
% 41.34/12.96  																																																	| (779)  ~ (all_0_83_83 = e3)
% 41.34/12.96  																																																	| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																		+-Applying beta-rule and splitting (725), into two cases.
% 41.34/12.96  																																																		|-Branch one:
% 41.34/12.96  																																																		| (804) all_0_85_85 = e3
% 41.34/12.96  																																																		|
% 41.34/12.96  																																																			| Equations (804) can reduce 952 to:
% 41.34/12.96  																																																			| (311) $false
% 41.34/12.96  																																																			|
% 41.34/12.96  																																																			|-The branch is then unsatisfiable
% 41.34/12.96  																																																		|-Branch two:
% 41.34/12.96  																																																		| (952)  ~ (all_0_85_85 = e3)
% 41.34/12.96  																																																		| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 41.34/12.96  																																																		|
% 41.34/12.96  																																																			+-Applying beta-rule and splitting (1594), into two cases.
% 41.34/12.96  																																																			|-Branch one:
% 41.34/12.96  																																																			| (1265) all_0_84_84 = e3
% 41.34/12.96  																																																			|
% 41.34/12.96  																																																				| From (1265) and (122) follows:
% 41.34/12.96  																																																				| (3507) op(e1, e3) = all_0_62_62
% 41.34/12.96  																																																				|
% 41.34/12.96  																																																				+-Applying beta-rule and splitting (953), into two cases.
% 41.34/12.96  																																																				|-Branch one:
% 41.34/12.96  																																																				| (954) all_0_85_85 = e0
% 41.34/12.96  																																																				|
% 41.34/12.96  																																																					| Equations (954) can reduce 78 to:
% 41.34/12.96  																																																					| (2507)  ~ (all_0_88_88 = e0)
% 41.34/12.96  																																																					|
% 41.34/12.96  																																																					| Simplifying 2507 yields:
% 41.34/12.96  																																																					| (1110)  ~ (all_0_88_88 = e0)
% 41.34/12.96  																																																					|
% 41.34/12.96  																																																					+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.96  																																																					|-Branch one:
% 41.34/12.96  																																																					| (504) all_0_88_88 = e1
% 41.34/12.96  																																																					|
% 41.34/12.96  																																																						| Equations (504) can reduce 191 to:
% 41.34/12.96  																																																						| (683)  ~ (e3 = e1)
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																						| Simplifying 683 yields:
% 41.34/12.96  																																																						| (20)  ~ (e3 = e1)
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																						| Equations (504) can reduce 1110 to:
% 41.34/12.96  																																																						| (264)  ~ (e1 = e0)
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																						+-Applying beta-rule and splitting (382), into two cases.
% 41.34/12.96  																																																						|-Branch one:
% 41.34/12.96  																																																						| (861) all_0_87_87 = e0
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																							| Equations (861) can reduce 216 to:
% 41.34/12.96  																																																							| (904)  ~ (e4 = e0)
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Simplifying 904 yields:
% 41.34/12.96  																																																							| (23)  ~ (e4 = e0)
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| From (861) and (16) follows:
% 41.34/12.96  																																																							| (3518) op(e1, e0) = all_0_64_64
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Instantiating formula (262) with e1, e3, e1, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e1, yields:
% 41.34/12.96  																																																							| (1413) all_0_62_62 = e1
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Instantiating formula (262) with e1, e1, all_0_67_67, e4 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = e4, yields:
% 41.34/12.96  																																																							| (3520) all_0_67_67 = e4
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_64_64, yields:
% 41.34/12.96  																																																							| (3521) all_0_57_57 = all_0_64_64
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Instantiating formula (262) with e1, e0, e3, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e3, yields:
% 41.34/12.96  																																																							| (3522) all_0_57_57 = e3
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Combining equations (3521,3522) yields a new equation:
% 41.34/12.96  																																																							| (3523) all_0_64_64 = e3
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Simplifying 3523 yields:
% 41.34/12.96  																																																							| (3524) all_0_64_64 = e3
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Equations (3522) can reduce 1702 to:
% 41.34/12.96  																																																							| (169)  ~ (e3 = e2)
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							+-Applying beta-rule and splitting (276), into two cases.
% 41.34/12.96  																																																							|-Branch one:
% 41.34/12.96  																																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																								+-Applying beta-rule and splitting (577), into two cases.
% 41.34/12.96  																																																								|-Branch one:
% 41.34/12.96  																																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 41.34/12.96  																																																								|
% 41.34/12.96  																																																									+-Applying beta-rule and splitting (578), into two cases.
% 41.34/12.96  																																																									|-Branch one:
% 41.34/12.96  																																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																										| Applying alpha-rule on (579) yields:
% 41.34/12.96  																																																										| (580) all_0_60_60 = e4
% 41.34/12.96  																																																										| (581)  ~ (all_0_61_61 = e1)
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Combining equations (580,3457) yields a new equation:
% 41.34/12.96  																																																										| (911) e4 = e0
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Simplifying 911 yields:
% 41.34/12.96  																																																										| (912) e4 = e0
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Equations (912) can reduce 23 to:
% 41.34/12.96  																																																										| (311) $false
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										|-The branch is then unsatisfiable
% 41.34/12.96  																																																									|-Branch two:
% 41.34/12.96  																																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																										| Applying alpha-rule on (585) yields:
% 41.34/12.96  																																																										| (586) all_0_62_62 = e3
% 41.34/12.96  																																																										| (587)  ~ (all_0_63_63 = e1)
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Combining equations (586,1413) yields a new equation:
% 41.34/12.96  																																																										| (825) e3 = e1
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Simplifying 825 yields:
% 41.34/12.96  																																																										| (772) e3 = e1
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										| Equations (772) can reduce 20 to:
% 41.34/12.96  																																																										| (311) $false
% 41.34/12.96  																																																										|
% 41.34/12.96  																																																										|-The branch is then unsatisfiable
% 41.34/12.96  																																																								|-Branch two:
% 41.34/12.96  																																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 41.34/12.96  																																																								|
% 41.34/12.96  																																																									| Applying alpha-rule on (590) yields:
% 41.34/12.96  																																																									| (591) all_0_64_64 = e2
% 41.34/12.96  																																																									| (592)  ~ (all_0_65_65 = e1)
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																									| Combining equations (3524,591) yields a new equation:
% 41.34/12.96  																																																									| (547) e3 = e2
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																									| Simplifying 547 yields:
% 41.34/12.96  																																																									| (548) e3 = e2
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																									| Equations (548) can reduce 169 to:
% 41.34/12.96  																																																									| (311) $false
% 41.34/12.96  																																																									|
% 41.34/12.96  																																																									|-The branch is then unsatisfiable
% 41.34/12.96  																																																							|-Branch two:
% 41.34/12.96  																																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																								| Applying alpha-rule on (596) yields:
% 41.34/12.96  																																																								| (597) all_0_67_67 = e0
% 41.34/12.96  																																																								| (598)  ~ (all_0_68_68 = e1)
% 41.34/12.96  																																																								|
% 41.34/12.96  																																																								| Combining equations (597,3520) yields a new equation:
% 41.34/12.96  																																																								| (912) e4 = e0
% 41.34/12.96  																																																								|
% 41.34/12.96  																																																								| Equations (912) can reduce 23 to:
% 41.34/12.96  																																																								| (311) $false
% 41.34/12.96  																																																								|
% 41.34/12.96  																																																								|-The branch is then unsatisfiable
% 41.34/12.96  																																																						|-Branch two:
% 41.34/12.96  																																																						| (889)  ~ (all_0_87_87 = e0)
% 41.34/12.96  																																																						| (507) all_0_88_88 = e0
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																							| Combining equations (504,507) yields a new equation:
% 41.34/12.96  																																																							| (1107) e1 = e0
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Simplifying 1107 yields:
% 41.34/12.96  																																																							| (865) e1 = e0
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							| Equations (865) can reduce 264 to:
% 41.34/12.96  																																																							| (311) $false
% 41.34/12.96  																																																							|
% 41.34/12.96  																																																							|-The branch is then unsatisfiable
% 41.34/12.96  																																																					|-Branch two:
% 41.34/12.96  																																																					| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.96  																																																					| (507) all_0_88_88 = e0
% 41.34/12.96  																																																					|
% 41.34/12.96  																																																						| Equations (507) can reduce 1110 to:
% 41.34/12.96  																																																						| (311) $false
% 41.34/12.96  																																																						|
% 41.34/12.96  																																																						|-The branch is then unsatisfiable
% 41.34/12.96  																																																				|-Branch two:
% 41.34/12.96  																																																				| (800)  ~ (all_0_85_85 = e0)
% 41.34/12.96  																																																				| (493) all_0_85_85 = e4
% 41.34/12.96  																																																				|
% 41.34/12.96  																																																					| Equations (493) can reduce 648 to:
% 41.34/12.96  																																																					| (311) $false
% 41.34/12.96  																																																					|
% 41.34/12.96  																																																					|-The branch is then unsatisfiable
% 41.34/12.96  																																																			|-Branch two:
% 41.34/12.96  																																																			| (422)  ~ (all_0_84_84 = e3)
% 41.34/12.96  																																																			| (804) all_0_85_85 = e3
% 41.34/12.96  																																																			|
% 41.34/12.96  																																																				| Equations (804) can reduce 952 to:
% 41.34/12.96  																																																				| (311) $false
% 41.34/12.96  																																																				|
% 41.34/12.96  																																																				|-The branch is then unsatisfiable
% 41.34/12.96  																																														|-Branch two:
% 41.34/12.96  																																														| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.96  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.96  																																														|
% 41.34/12.96  																																															+-Applying beta-rule and splitting (1526), into two cases.
% 41.34/12.96  																																															|-Branch one:
% 41.34/12.96  																																															| (801) all_0_91_91 = e1
% 41.34/12.96  																																															|
% 41.34/12.96  																																																| Combining equations (1456,801) yields a new equation:
% 41.34/12.96  																																																| (865) e1 = e0
% 41.34/12.96  																																																|
% 41.34/12.96  																																																| Equations (865) can reduce 264 to:
% 41.34/12.96  																																																| (311) $false
% 41.34/12.96  																																																|
% 41.34/12.96  																																																|-The branch is then unsatisfiable
% 41.34/12.96  																																															|-Branch two:
% 41.34/12.96  																																															| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.96  																																															| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.96  																																															|
% 41.34/12.96  																																																+-Applying beta-rule and splitting (1556), into two cases.
% 41.34/12.96  																																																|-Branch one:
% 41.34/12.96  																																																| (836) all_0_92_92 = e1
% 41.34/12.96  																																																|
% 41.34/12.96  																																																	| Combining equations (442,836) yields a new equation:
% 41.34/12.96  																																																	| (813) e4 = e1
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	| Simplifying 813 yields:
% 41.34/12.96  																																																	| (814) e4 = e1
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	| Equations (814) can reduce 256 to:
% 41.34/12.96  																																																	| (311) $false
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	|-The branch is then unsatisfiable
% 41.34/12.96  																																																|-Branch two:
% 41.34/12.96  																																																| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.96  																																																| (566) all_0_93_93 = e1
% 41.34/12.96  																																																|
% 41.34/12.96  																																																	| Combining equations (570,566) yields a new equation:
% 41.34/12.96  																																																	| (825) e3 = e1
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	| Simplifying 825 yields:
% 41.34/12.96  																																																	| (772) e3 = e1
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	| Equations (772) can reduce 20 to:
% 41.34/12.96  																																																	| (311) $false
% 41.34/12.96  																																																	|
% 41.34/12.96  																																																	|-The branch is then unsatisfiable
% 41.34/12.96  																																											|-Branch two:
% 41.34/12.96  																																											| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.96  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.96  																																											|
% 41.34/12.96  																																												+-Applying beta-rule and splitting (915), into two cases.
% 41.34/12.96  																																												|-Branch one:
% 41.34/12.96  																																												| (378) all_0_86_86 = e0
% 41.34/12.96  																																												|
% 41.34/12.96  																																													| Combining equations (345,378) yields a new equation:
% 41.34/12.96  																																													| (923) e2 = e0
% 41.34/12.96  																																													|
% 41.34/12.96  																																													| Simplifying 923 yields:
% 41.34/12.96  																																													| (379) e2 = e0
% 41.34/12.96  																																													|
% 41.34/12.96  																																													| Equations (379) can reduce 76 to:
% 41.34/12.96  																																													| (311) $false
% 41.34/12.96  																																													|
% 41.34/12.96  																																													|-The branch is then unsatisfiable
% 41.34/12.96  																																												|-Branch two:
% 41.34/12.96  																																												| (381)  ~ (all_0_86_86 = e0)
% 41.34/12.96  																																												| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.34/12.96  																																												|
% 41.34/12.96  																																													+-Applying beta-rule and splitting (927), into two cases.
% 41.34/12.96  																																													|-Branch one:
% 41.34/12.96  																																													| (758) all_0_90_90 = e0
% 41.34/12.96  																																													|
% 41.34/12.97  																																														| Equations (758) can reduce 762 to:
% 41.34/12.97  																																														| (311) $false
% 41.34/12.97  																																														|
% 41.34/12.97  																																														|-The branch is then unsatisfiable
% 41.34/12.97  																																													|-Branch two:
% 41.34/12.97  																																													| (762)  ~ (all_0_90_90 = e0)
% 41.34/12.97  																																													| (858) all_0_95_95 = e0
% 41.34/12.97  																																													|
% 41.34/12.97  																																														| Equations (858) can reduce 893 to:
% 41.34/12.97  																																														| (311) $false
% 41.34/12.97  																																														|
% 41.34/12.97  																																														|-The branch is then unsatisfiable
% 41.34/12.97  																																										|-Branch two:
% 41.34/12.97  																																										| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.97  																																										| (1837) all_0_96_96 = e0
% 41.34/12.97  																																										|
% 41.34/12.97  																																											| Combining equations (1837,778) yields a new equation:
% 41.34/12.97  																																											| (600) e3 = e0
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Equations (600) can reduce 50 to:
% 41.34/12.97  																																											| (311) $false
% 41.34/12.97  																																											|
% 41.34/12.97  																																											|-The branch is then unsatisfiable
% 41.34/12.97  																																									|-Branch two:
% 41.34/12.97  																																									| (964)  ~ (all_0_96_96 = e3)
% 41.34/12.97  																																									| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 41.34/12.97  																																									|
% 41.34/12.97  																																										+-Applying beta-rule and splitting (965), into two cases.
% 41.34/12.97  																																										|-Branch one:
% 41.34/12.97  																																										| (556) all_0_97_97 = e3
% 41.34/12.97  																																										|
% 41.34/12.97  																																											| Combining equations (556,542) yields a new equation:
% 41.34/12.97  																																											| (825) e3 = e1
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Simplifying 825 yields:
% 41.34/12.97  																																											| (772) e3 = e1
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Equations (772) can reduce 20 to:
% 41.34/12.97  																																											| (311) $false
% 41.34/12.97  																																											|
% 41.34/12.97  																																											|-The branch is then unsatisfiable
% 41.34/12.97  																																										|-Branch two:
% 41.34/12.97  																																										| (428)  ~ (all_0_97_97 = e3)
% 41.34/12.97  																																										| (969) all_0_98_98 = e3
% 41.34/12.97  																																										|
% 41.34/12.97  																																											| Combining equations (525,969) yields a new equation:
% 41.34/12.97  																																											| (548) e3 = e2
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Equations (548) can reduce 169 to:
% 41.34/12.97  																																											| (311) $false
% 41.34/12.97  																																											|
% 41.34/12.97  																																											|-The branch is then unsatisfiable
% 41.34/12.97  																																							|-Branch two:
% 41.34/12.97  																																							| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.97  																																							| (1543) all_0_98_98 = e1
% 41.34/12.97  																																							|
% 41.34/12.97  																																								| Combining equations (1543,525) yields a new equation:
% 41.34/12.97  																																								| (385) e2 = e1
% 41.34/12.97  																																								|
% 41.34/12.97  																																								| Equations (385) can reduce 243 to:
% 41.34/12.97  																																								| (311) $false
% 41.34/12.97  																																								|
% 41.34/12.97  																																								|-The branch is then unsatisfiable
% 41.34/12.97  																																	|-Branch two:
% 41.34/12.97  																																	| (1619)  ~ (all_0_92_92 = e4)
% 41.34/12.97  																																	| (610) all_0_97_97 = e4
% 41.34/12.97  																																	|
% 41.34/12.97  																																		| Equations (610) can reduce 319 to:
% 41.34/12.97  																																		| (311) $false
% 41.34/12.97  																																		|
% 41.34/12.97  																																		|-The branch is then unsatisfiable
% 41.34/12.97  																														|-Branch two:
% 41.34/12.97  																														| (465)  ~ (all_0_82_82 = e4)
% 41.34/12.97  																														| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 41.34/12.97  																														|
% 41.34/12.97  																															+-Applying beta-rule and splitting (10), into two cases.
% 41.34/12.97  																															|-Branch one:
% 41.34/12.97  																															| (530) all_0_82_82 = e2
% 41.34/12.97  																															|
% 41.34/12.97  																																| Equations (530) can reduce 347 to:
% 41.34/12.97  																																| (311) $false
% 41.34/12.97  																																|
% 41.34/12.97  																																|-The branch is then unsatisfiable
% 41.34/12.97  																															|-Branch two:
% 41.34/12.97  																															| (347)  ~ (all_0_82_82 = e2)
% 41.34/12.97  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 41.34/12.97  																															|
% 41.34/12.97  																																+-Applying beta-rule and splitting (4), into two cases.
% 41.34/12.97  																																|-Branch one:
% 41.34/12.97  																																| (463) all_0_78_78 = e4
% 41.34/12.97  																																|
% 41.34/12.97  																																	| Combining equations (771,463) yields a new equation:
% 41.34/12.97  																																	| (434) e4 = e3
% 41.34/12.97  																																	|
% 41.34/12.97  																																	| Equations (434) can reduce 177 to:
% 41.34/12.97  																																	| (311) $false
% 41.34/12.97  																																	|
% 41.34/12.97  																																	|-The branch is then unsatisfiable
% 41.34/12.97  																																|-Branch two:
% 41.34/12.97  																																| (640)  ~ (all_0_78_78 = e4)
% 41.34/12.97  																																| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 41.34/12.97  																																|
% 41.34/12.97  																																	+-Applying beta-rule and splitting (3625), into two cases.
% 41.34/12.97  																																	|-Branch one:
% 41.34/12.97  																																	| (469) all_0_82_82 = e4
% 41.34/12.97  																																	|
% 41.34/12.97  																																		| Equations (469) can reduce 465 to:
% 41.34/12.97  																																		| (311) $false
% 41.34/12.97  																																		|
% 41.34/12.97  																																		|-The branch is then unsatisfiable
% 41.34/12.97  																																	|-Branch two:
% 41.34/12.97  																																	| (465)  ~ (all_0_82_82 = e4)
% 41.34/12.97  																																	| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 41.34/12.97  																																	|
% 41.34/12.97  																																		+-Applying beta-rule and splitting (472), into two cases.
% 41.34/12.97  																																		|-Branch one:
% 41.34/12.97  																																		| (438) all_0_84_84 = e4
% 41.34/12.97  																																		|
% 41.34/12.97  																																			| Equations (438) can reduce 259 to:
% 41.34/12.97  																																			| (256)  ~ (e4 = e1)
% 41.34/12.97  																																			|
% 41.34/12.97  																																			+-Applying beta-rule and splitting (3629), into two cases.
% 41.34/12.97  																																			|-Branch one:
% 41.34/12.97  																																			| (583) all_0_90_90 = e4
% 41.34/12.97  																																			|
% 41.34/12.97  																																				| Equations (583) can reduce 255 to:
% 41.34/12.97  																																				| (465)  ~ (all_0_82_82 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Equations (583) can reduce 103 to:
% 41.34/12.97  																																				| (3634)  ~ (all_0_91_91 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Simplifying 3634 yields:
% 41.34/12.97  																																				| (133)  ~ (all_0_91_91 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Equations (583) can reduce 34 to:
% 41.34/12.97  																																				| (495)  ~ (all_0_93_93 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Simplifying 495 yields:
% 41.34/12.97  																																				| (496)  ~ (all_0_93_93 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Equations (583) can reduce 229 to:
% 41.34/12.97  																																				| (314)  ~ (all_0_95_95 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Simplifying 314 yields:
% 41.34/12.97  																																				| (315)  ~ (all_0_95_95 = e4)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				| Equations (583) can reduce 745 to:
% 41.34/12.97  																																				| (177)  ~ (e4 = e3)
% 41.34/12.97  																																				|
% 41.34/12.97  																																				+-Applying beta-rule and splitting (2205), into two cases.
% 41.34/12.97  																																				|-Branch one:
% 41.34/12.97  																																				| (789) all_0_82_82 = e3
% 41.34/12.97  																																				|
% 41.34/12.97  																																					| Equations (789) can reduce 793 to:
% 41.34/12.97  																																					| (311) $false
% 41.34/12.97  																																					|
% 41.34/12.97  																																					|-The branch is then unsatisfiable
% 41.34/12.97  																																				|-Branch two:
% 41.34/12.97  																																				| (793)  ~ (all_0_82_82 = e3)
% 41.34/12.97  																																				| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 41.34/12.97  																																				|
% 41.34/12.97  																																					+-Applying beta-rule and splitting (2706), into two cases.
% 41.34/12.97  																																					|-Branch one:
% 41.34/12.97  																																					| (910) all_0_82_82 = e0
% 41.34/12.97  																																					|
% 41.34/12.97  																																						| Equations (910) can reduce 200 to:
% 41.34/12.97  																																						| (2712)  ~ (all_0_95_95 = e0)
% 41.34/12.97  																																						|
% 41.34/12.97  																																						| Simplifying 2712 yields:
% 41.34/12.97  																																						| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.97  																																						|
% 41.34/12.97  																																						| Equations (910) can reduce 793 to:
% 41.34/12.97  																																						| (906)  ~ (e3 = e0)
% 41.34/12.97  																																						|
% 41.34/12.97  																																						| Simplifying 906 yields:
% 41.34/12.97  																																						| (50)  ~ (e3 = e0)
% 41.34/12.97  																																						|
% 41.34/12.97  																																						+-Applying beta-rule and splitting (171), into two cases.
% 41.34/12.97  																																						|-Branch one:
% 41.34/12.97  																																						| (789) all_0_82_82 = e3
% 41.34/12.97  																																						|
% 41.34/12.97  																																							| Combining equations (910,789) yields a new equation:
% 41.34/12.97  																																							| (600) e3 = e0
% 41.34/12.97  																																							|
% 41.34/12.97  																																							| Equations (600) can reduce 50 to:
% 41.34/12.97  																																							| (311) $false
% 41.34/12.97  																																							|
% 41.34/12.97  																																							|-The branch is then unsatisfiable
% 41.34/12.97  																																						|-Branch two:
% 41.34/12.97  																																						| (793)  ~ (all_0_82_82 = e3)
% 41.34/12.97  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.34/12.97  																																						|
% 41.34/12.97  																																							+-Applying beta-rule and splitting (1718), into two cases.
% 41.34/12.97  																																							|-Branch one:
% 41.34/12.97  																																							| (384) all_0_86_86 = e1
% 41.34/12.97  																																							|
% 41.34/12.97  																																								| Combining equations (345,384) yields a new equation:
% 41.34/12.97  																																								| (408) e2 = e1
% 41.34/12.97  																																								|
% 41.34/12.97  																																								| Simplifying 408 yields:
% 41.34/12.97  																																								| (385) e2 = e1
% 41.34/12.97  																																								|
% 41.34/12.97  																																								| Equations (385) can reduce 243 to:
% 41.34/12.97  																																								| (311) $false
% 41.34/12.97  																																								|
% 41.34/12.97  																																								|-The branch is then unsatisfiable
% 41.34/12.97  																																							|-Branch two:
% 41.34/12.97  																																							| (387)  ~ (all_0_86_86 = e1)
% 41.34/12.97  																																							| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 41.34/12.97  																																							|
% 41.34/12.97  																																								+-Applying beta-rule and splitting (1296), into two cases.
% 41.34/12.97  																																								|-Branch one:
% 41.34/12.97  																																								| (795) all_0_83_83 = e3
% 41.34/12.97  																																								|
% 41.34/12.97  																																									| Combining equations (795,453) yields a new equation:
% 41.34/12.97  																																									| (547) e3 = e2
% 41.34/12.97  																																									|
% 41.34/12.97  																																									| Simplifying 547 yields:
% 41.34/12.97  																																									| (548) e3 = e2
% 41.34/12.97  																																									|
% 41.34/12.97  																																									| Equations (548) can reduce 169 to:
% 41.34/12.97  																																									| (311) $false
% 41.34/12.97  																																									|
% 41.34/12.97  																																									|-The branch is then unsatisfiable
% 41.34/12.97  																																								|-Branch two:
% 41.34/12.97  																																								| (779)  ~ (all_0_83_83 = e3)
% 41.34/12.97  																																								| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 41.34/12.97  																																								|
% 41.34/12.97  																																									+-Applying beta-rule and splitting (2122), into two cases.
% 41.34/12.97  																																									|-Branch one:
% 41.34/12.97  																																									| (750) all_0_90_90 = e1
% 41.34/12.97  																																									|
% 41.34/12.97  																																										| Combining equations (583,750) yields a new equation:
% 41.34/12.97  																																										| (813) e4 = e1
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Simplifying 813 yields:
% 41.34/12.97  																																										| (814) e4 = e1
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Equations (814) can reduce 256 to:
% 41.34/12.97  																																										| (311) $false
% 41.34/12.97  																																										|
% 41.34/12.97  																																										|-The branch is then unsatisfiable
% 41.34/12.97  																																									|-Branch two:
% 41.34/12.97  																																									| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.97  																																									| (785) all_0_95_95 = e1
% 41.34/12.97  																																									|
% 41.34/12.97  																																										| Equations (785) can reduce 105 to:
% 41.34/12.97  																																										| (485)  ~ (all_0_97_97 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Simplifying 485 yields:
% 41.34/12.97  																																										| (486)  ~ (all_0_97_97 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Equations (785) can reduce 315 to:
% 41.34/12.97  																																										| (681)  ~ (e4 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Simplifying 681 yields:
% 41.34/12.97  																																										| (256)  ~ (e4 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Equations (785) can reduce 355 to:
% 41.34/12.97  																																										| (487)  ~ (e2 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Simplifying 487 yields:
% 41.34/12.97  																																										| (243)  ~ (e2 = e1)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| Equations (785) can reduce 893 to:
% 41.34/12.97  																																										| (264)  ~ (e1 = e0)
% 41.34/12.97  																																										|
% 41.34/12.97  																																										| From (785) and (275) follows:
% 41.34/12.97  																																										| (1511) op(e0, e3) = e1
% 41.34/12.97  																																										|
% 41.34/12.97  																																										+-Applying beta-rule and splitting (1594), into two cases.
% 41.34/12.97  																																										|-Branch one:
% 41.34/12.97  																																										| (1265) all_0_84_84 = e3
% 41.34/12.97  																																										|
% 41.34/12.97  																																											| Combining equations (438,1265) yields a new equation:
% 41.34/12.97  																																											| (790) e4 = e3
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Simplifying 790 yields:
% 41.34/12.97  																																											| (434) e4 = e3
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Equations (434) can reduce 177 to:
% 41.34/12.97  																																											| (311) $false
% 41.34/12.97  																																											|
% 41.34/12.97  																																											|-The branch is then unsatisfiable
% 41.34/12.97  																																										|-Branch two:
% 41.34/12.97  																																										| (422)  ~ (all_0_84_84 = e3)
% 41.34/12.97  																																										| (804) all_0_85_85 = e3
% 41.34/12.97  																																										|
% 41.34/12.97  																																											| Equations (804) can reduce 515 to:
% 41.34/12.97  																																											| (169)  ~ (e3 = e2)
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Equations (804) can reduce 128 to:
% 41.34/12.97  																																											| (20)  ~ (e3 = e1)
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| From (804) and (26) follows:
% 41.34/12.97  																																											| (1891) op(e0, e3) = all_0_71_71
% 41.34/12.97  																																											|
% 41.34/12.97  																																											| Instantiating formula (262) with e0, e3, e1, all_0_71_71 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = e1, yields:
% 41.34/12.97  																																											| (1967) all_0_71_71 = e1
% 41.34/12.97  																																											|
% 41.34/12.97  																																											+-Applying beta-rule and splitting (89), into two cases.
% 41.34/12.97  																																											|-Branch one:
% 41.34/12.97  																																											| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 41.34/12.97  																																											|
% 41.34/12.97  																																												+-Applying beta-rule and splitting (1373), into two cases.
% 41.34/12.97  																																												|-Branch one:
% 41.34/12.97  																																												| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 41.34/12.97  																																												|
% 41.34/12.97  																																													+-Applying beta-rule and splitting (1374), into two cases.
% 41.34/12.97  																																													|-Branch one:
% 41.34/12.97  																																													| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 41.34/12.97  																																													|
% 41.34/12.97  																																														| Applying alpha-rule on (1375) yields:
% 41.34/12.97  																																														| (1376) all_0_69_69 = e4
% 41.34/12.97  																																														| (1377)  ~ (all_0_70_70 = e0)
% 41.34/12.97  																																														|
% 41.34/12.97  																																														| Equations (686) can reduce 1377 to:
% 41.34/12.97  																																														| (311) $false
% 41.34/12.97  																																														|
% 41.34/12.97  																																														|-The branch is then unsatisfiable
% 41.34/12.97  																																													|-Branch two:
% 41.34/12.97  																																													| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 41.34/12.97  																																													|
% 41.34/12.97  																																														| Applying alpha-rule on (1379) yields:
% 41.34/12.97  																																														| (1380) all_0_71_71 = e3
% 41.34/12.97  																																														| (1381)  ~ (all_0_72_72 = e0)
% 41.34/12.97  																																														|
% 41.34/12.97  																																														| Combining equations (1967,1380) yields a new equation:
% 41.34/12.97  																																														| (772) e3 = e1
% 41.34/12.97  																																														|
% 41.34/12.97  																																														| Equations (772) can reduce 20 to:
% 41.34/12.97  																																														| (311) $false
% 41.34/12.97  																																														|
% 41.34/12.97  																																														|-The branch is then unsatisfiable
% 41.34/12.97  																																												|-Branch two:
% 41.34/12.97  																																												| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 41.34/12.97  																																												|
% 41.34/12.97  																																													| Applying alpha-rule on (1385) yields:
% 41.34/12.97  																																													| (1386) all_0_73_73 = e2
% 41.34/12.97  																																													| (1387)  ~ (all_0_74_74 = e0)
% 41.34/12.97  																																													|
% 41.34/12.97  																																													+-Applying beta-rule and splitting (207), into two cases.
% 41.34/12.97  																																													|-Branch one:
% 41.34/12.97  																																													| (416) all_0_80_80 = e3
% 41.34/12.97  																																													|
% 41.34/12.97  																																														| Combining equations (546,416) yields a new equation:
% 41.34/12.97  																																														| (548) e3 = e2
% 41.34/12.97  																																														|
% 41.34/12.97  																																														| Equations (548) can reduce 169 to:
% 41.34/12.97  																																														| (311) $false
% 41.34/12.97  																																														|
% 41.34/12.97  																																														|-The branch is then unsatisfiable
% 41.34/12.97  																																													|-Branch two:
% 41.34/12.97  																																													| (2347)  ~ (all_0_80_80 = e3)
% 41.34/12.97  																																													| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.34/12.97  																																													|
% 41.34/12.97  																																														+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.97  																																														|-Branch one:
% 41.34/12.97  																																														| (750) all_0_90_90 = e1
% 41.34/12.97  																																														|
% 41.34/12.97  																																															| Combining equations (583,750) yields a new equation:
% 41.34/12.97  																																															| (813) e4 = e1
% 41.34/12.97  																																															|
% 41.34/12.97  																																															| Simplifying 813 yields:
% 41.34/12.97  																																															| (814) e4 = e1
% 41.34/12.97  																																															|
% 41.34/12.97  																																															| Equations (814) can reduce 256 to:
% 41.34/12.97  																																															| (311) $false
% 41.34/12.97  																																															|
% 41.34/12.97  																																															|-The branch is then unsatisfiable
% 41.34/12.97  																																														|-Branch two:
% 41.34/12.97  																																														| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.97  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.97  																																														|
% 41.34/12.97  																																															+-Applying beta-rule and splitting (102), into two cases.
% 41.34/12.97  																																															|-Branch one:
% 41.34/12.97  																																															| (858) all_0_95_95 = e0
% 41.34/12.97  																																															|
% 41.34/12.97  																																																| Combining equations (785,858) yields a new equation:
% 41.34/12.97  																																																| (1107) e1 = e0
% 41.34/12.97  																																																|
% 41.34/12.97  																																																| Simplifying 1107 yields:
% 41.34/12.97  																																																| (865) e1 = e0
% 41.34/12.97  																																																|
% 41.34/12.97  																																																| Equations (865) can reduce 264 to:
% 41.34/12.97  																																																| (311) $false
% 41.34/12.97  																																																|
% 41.34/12.97  																																																|-The branch is then unsatisfiable
% 41.34/12.97  																																															|-Branch two:
% 41.34/12.97  																																															| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.97  																																															| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.97  																																															|
% 41.34/12.97  																																																+-Applying beta-rule and splitting (151), into two cases.
% 41.34/12.97  																																																|-Branch one:
% 41.34/12.97  																																																| (824) all_0_80_80 = e1
% 41.34/12.97  																																																|
% 41.34/12.97  																																																	| Combining equations (546,824) yields a new equation:
% 41.34/12.97  																																																	| (408) e2 = e1
% 41.34/12.97  																																																	|
% 41.34/12.97  																																																	| Simplifying 408 yields:
% 41.34/12.97  																																																	| (385) e2 = e1
% 41.34/12.97  																																																	|
% 41.34/12.97  																																																	| Equations (385) can reduce 243 to:
% 41.34/12.97  																																																	| (311) $false
% 41.34/12.97  																																																	|
% 41.34/12.97  																																																	|-The branch is then unsatisfiable
% 41.34/12.97  																																																|-Branch two:
% 41.34/12.97  																																																| (828)  ~ (all_0_80_80 = e1)
% 41.34/12.97  																																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.34/12.97  																																																|
% 41.34/12.97  																																																	+-Applying beta-rule and splitting (65), into two cases.
% 41.34/12.97  																																																	|-Branch one:
% 41.34/12.97  																																																	| (522) all_0_93_93 = e2
% 41.34/12.97  																																																	|
% 41.34/12.97  																																																		| Equations (522) can reduce 300 to:
% 41.34/12.97  																																																		| (311) $false
% 41.34/12.97  																																																		|
% 41.34/12.97  																																																		|-The branch is then unsatisfiable
% 41.34/12.97  																																																	|-Branch two:
% 41.34/12.97  																																																	| (300)  ~ (all_0_93_93 = e2)
% 41.34/12.98  																																																	| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 41.34/12.98  																																																	|
% 41.34/12.98  																																																		+-Applying beta-rule and splitting (119), into two cases.
% 41.34/12.98  																																																		|-Branch one:
% 41.34/12.98  																																																		| (1343) all_0_92_92 = e2
% 41.34/12.98  																																																		|
% 41.34/12.98  																																																			| Equations (1343) can reduce 298 to:
% 41.34/12.98  																																																			| (311) $false
% 41.34/12.98  																																																			|
% 41.34/12.98  																																																			|-The branch is then unsatisfiable
% 41.34/12.98  																																																		|-Branch two:
% 41.34/12.98  																																																		| (298)  ~ (all_0_92_92 = e2)
% 41.34/12.98  																																																		| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 41.34/12.98  																																																		|
% 41.34/12.98  																																																			+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.98  																																																			|-Branch one:
% 41.34/12.98  																																																			| (504) all_0_88_88 = e1
% 41.34/12.98  																																																			|
% 41.34/12.98  																																																				| Equations (504) can reduce 181 to:
% 41.34/12.98  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				| Equations (504) can reduce 286 to:
% 41.34/12.98  																																																				| (480)  ~ (all_0_93_93 = e1)
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				| Simplifying 480 yields:
% 41.34/12.98  																																																				| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.98  																																																				|-Branch one:
% 41.34/12.98  																																																				| (482) all_0_87_87 = e1
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																					| Equations (482) can reduce 625 to:
% 41.34/12.98  																																																					| (311) $false
% 41.34/12.98  																																																					|
% 41.34/12.98  																																																					|-The branch is then unsatisfiable
% 41.34/12.98  																																																				|-Branch two:
% 41.34/12.98  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.98  																																																				| (861) all_0_87_87 = e0
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																					| Equations (861) can reduce 221 to:
% 41.34/12.98  																																																					| (938)  ~ (all_0_97_97 = e0)
% 41.34/12.98  																																																					|
% 41.34/12.98  																																																					| Simplifying 938 yields:
% 41.34/12.98  																																																					| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.98  																																																					|
% 41.34/12.98  																																																					+-Applying beta-rule and splitting (1921), into two cases.
% 41.34/12.98  																																																					|-Branch one:
% 41.34/12.98  																																																					| (1837) all_0_96_96 = e0
% 41.34/12.98  																																																					|
% 41.34/12.98  																																																						| Equations (1837) can reduce 64 to:
% 41.34/12.98  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.98  																																																						|
% 41.34/12.98  																																																						+-Applying beta-rule and splitting (1726), into two cases.
% 41.34/12.98  																																																						|-Branch one:
% 41.34/12.98  																																																						| (801) all_0_91_91 = e1
% 41.34/12.98  																																																						|
% 41.34/12.98  																																																							| Equations (801) can reduce 959 to:
% 41.34/12.98  																																																							| (311) $false
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																							|-The branch is then unsatisfiable
% 41.34/12.98  																																																						|-Branch two:
% 41.34/12.98  																																																						| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.98  																																																						| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.34/12.98  																																																						|
% 41.34/12.98  																																																							+-Applying beta-rule and splitting (1880), into two cases.
% 41.34/12.98  																																																							|-Branch one:
% 41.34/12.98  																																																							| (588) all_0_91_91 = e3
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																								| Equations (588) can reduce 265 to:
% 41.34/12.98  																																																								| (425)  ~ (all_0_92_92 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Simplifying 425 yields:
% 41.34/12.98  																																																								| (426)  ~ (all_0_92_92 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Equations (588) can reduce 44 to:
% 41.34/12.98  																																																								| (807)  ~ (all_0_93_93 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Simplifying 807 yields:
% 41.34/12.98  																																																								| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Equations (588) can reduce 133 to:
% 41.34/12.98  																																																								| (783)  ~ (e4 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Simplifying 783 yields:
% 41.34/12.98  																																																								| (177)  ~ (e4 = e3)
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| From (588) and (1703) follows:
% 41.34/12.98  																																																								| (1844) op(e2, e3) = e1
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								+-Applying beta-rule and splitting (2481), into two cases.
% 41.34/12.98  																																																								|-Branch one:
% 41.34/12.98  																																																								| (1265) all_0_84_84 = e3
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																									| Combining equations (438,1265) yields a new equation:
% 41.34/12.98  																																																									| (790) e4 = e3
% 41.34/12.98  																																																									|
% 41.34/12.98  																																																									| Simplifying 790 yields:
% 41.34/12.98  																																																									| (434) e4 = e3
% 41.34/12.98  																																																									|
% 41.34/12.98  																																																									| Equations (434) can reduce 177 to:
% 41.34/12.98  																																																									| (311) $false
% 41.34/12.98  																																																									|
% 41.34/12.98  																																																									|-The branch is then unsatisfiable
% 41.34/12.98  																																																								|-Branch two:
% 41.34/12.98  																																																								| (422)  ~ (all_0_84_84 = e3)
% 41.34/12.98  																																																								| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																									+-Applying beta-rule and splitting (3765), into two cases.
% 41.34/12.98  																																																									|-Branch one:
% 41.34/12.98  																																																									| (882) all_0_92_92 = e3
% 41.34/12.98  																																																									|
% 41.34/12.98  																																																										| Equations (882) can reduce 426 to:
% 41.34/12.98  																																																										| (311) $false
% 41.34/12.98  																																																										|
% 41.34/12.98  																																																										|-The branch is then unsatisfiable
% 41.34/12.98  																																																									|-Branch two:
% 41.34/12.98  																																																									| (426)  ~ (all_0_92_92 = e3)
% 41.34/12.98  																																																									| (556) all_0_97_97 = e3
% 41.34/12.98  																																																									|
% 41.34/12.98  																																																										| Equations (556) can reduce 486 to:
% 41.34/12.98  																																																										| (20)  ~ (e3 = e1)
% 41.34/12.98  																																																										|
% 41.34/12.98  																																																										+-Applying beta-rule and splitting (565), into two cases.
% 41.34/12.98  																																																										|-Branch one:
% 41.34/12.98  																																																										| (566) all_0_93_93 = e1
% 41.34/12.98  																																																										|
% 41.34/12.98  																																																											| Equations (566) can reduce 481 to:
% 41.34/12.98  																																																											| (311) $false
% 41.34/12.98  																																																											|
% 41.34/12.98  																																																											|-The branch is then unsatisfiable
% 41.34/12.98  																																																										|-Branch two:
% 41.34/12.98  																																																										| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.98  																																																										| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 41.34/12.98  																																																										|
% 41.34/12.98  																																																											+-Applying beta-rule and splitting (569), into two cases.
% 41.34/12.98  																																																											|-Branch one:
% 41.34/12.98  																																																											| (570) all_0_93_93 = e3
% 41.34/12.98  																																																											|
% 41.34/12.98  																																																												| Equations (570) can reduce 602 to:
% 41.34/12.98  																																																												| (311) $false
% 41.34/12.98  																																																												|
% 41.34/12.98  																																																												|-The branch is then unsatisfiable
% 41.34/12.98  																																																											|-Branch two:
% 41.34/12.98  																																																											| (602)  ~ (all_0_93_93 = e3)
% 41.34/12.98  																																																											| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 41.34/12.98  																																																											|
% 41.34/12.98  																																																												+-Applying beta-rule and splitting (603), into two cases.
% 41.34/12.98  																																																												|-Branch one:
% 41.34/12.98  																																																												| (604) all_0_93_93 = e0
% 41.34/12.98  																																																												|
% 41.34/12.98  																																																													| Equations (604) can reduce 481 to:
% 41.34/12.98  																																																													| (859)  ~ (e1 = e0)
% 41.34/12.98  																																																													|
% 41.34/12.98  																																																													| Simplifying 859 yields:
% 41.34/12.98  																																																													| (264)  ~ (e1 = e0)
% 41.34/12.98  																																																													|
% 41.34/12.98  																																																													+-Applying beta-rule and splitting (1526), into two cases.
% 41.34/12.98  																																																													|-Branch one:
% 41.34/12.98  																																																													| (801) all_0_91_91 = e1
% 41.34/12.98  																																																													|
% 41.34/12.98  																																																														| Combining equations (801,588) yields a new equation:
% 41.34/12.98  																																																														| (772) e3 = e1
% 41.34/12.98  																																																														|
% 41.34/12.98  																																																														| Equations (772) can reduce 20 to:
% 41.34/12.98  																																																														| (311) $false
% 41.34/12.98  																																																														|
% 41.34/12.98  																																																														|-The branch is then unsatisfiable
% 41.34/12.98  																																																													|-Branch two:
% 41.34/12.98  																																																													| (959)  ~ (all_0_91_91 = e1)
% 41.34/12.98  																																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.98  																																																													|
% 41.34/12.98  																																																														+-Applying beta-rule and splitting (829), into two cases.
% 41.34/12.98  																																																														|-Branch one:
% 41.34/12.98  																																																														| (482) all_0_87_87 = e1
% 41.34/12.98  																																																														|
% 41.34/12.98  																																																															| Combining equations (861,482) yields a new equation:
% 41.34/12.98  																																																															| (865) e1 = e0
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																															| Equations (865) can reduce 264 to:
% 41.34/12.98  																																																															| (311) $false
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																															|-The branch is then unsatisfiable
% 41.34/12.98  																																																														|-Branch two:
% 41.34/12.98  																																																														| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.98  																																																														| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.34/12.98  																																																														|
% 41.34/12.98  																																																															| Equations (861) can reduce 625 to:
% 41.34/12.98  																																																															| (859)  ~ (e1 = e0)
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																															| Simplifying 859 yields:
% 41.34/12.98  																																																															| (264)  ~ (e1 = e0)
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																															+-Applying beta-rule and splitting (3735), into two cases.
% 41.34/12.98  																																																															|-Branch one:
% 41.34/12.98  																																																															| (836) all_0_92_92 = e1
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																																| Equations (836) can reduce 298 to:
% 41.34/12.98  																																																																| (487)  ~ (e2 = e1)
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																| Simplifying 487 yields:
% 41.34/12.98  																																																																| (243)  ~ (e2 = e1)
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.34/12.98  																																																																| (385) e2 = e1
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																| Equations (385) can reduce 243 to:
% 41.34/12.98  																																																																| (311) $false
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																|-The branch is then unsatisfiable
% 41.34/12.98  																																																															|-Branch two:
% 41.34/12.98  																																																															| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.98  																																																															| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 41.34/12.98  																																																															|
% 41.34/12.98  																																																																+-Applying beta-rule and splitting (1556), into two cases.
% 41.34/12.98  																																																																|-Branch one:
% 41.34/12.98  																																																																| (836) all_0_92_92 = e1
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																	| Equations (836) can reduce 840 to:
% 41.34/12.98  																																																																	| (311) $false
% 41.34/12.98  																																																																	|
% 41.34/12.98  																																																																	|-The branch is then unsatisfiable
% 41.34/12.98  																																																																|-Branch two:
% 41.34/12.98  																																																																| (840)  ~ (all_0_92_92 = e1)
% 41.34/12.98  																																																																| (566) all_0_93_93 = e1
% 41.34/12.98  																																																																|
% 41.34/12.98  																																																																	| Combining equations (566,604) yields a new equation:
% 41.34/12.98  																																																																	| (1107) e1 = e0
% 41.34/12.98  																																																																	|
% 41.34/12.98  																																																																	| Simplifying 1107 yields:
% 41.34/12.98  																																																																	| (865) e1 = e0
% 41.34/12.98  																																																																	|
% 41.34/12.98  																																																																	| Equations (865) can reduce 264 to:
% 41.34/12.98  																																																																	| (311) $false
% 41.34/12.98  																																																																	|
% 41.34/12.98  																																																																	|-The branch is then unsatisfiable
% 41.34/12.98  																																																												|-Branch two:
% 41.34/12.98  																																																												| (509)  ~ (all_0_93_93 = e0)
% 41.34/12.98  																																																												| (607) all_0_93_93 = e4
% 41.34/12.98  																																																												|
% 41.34/12.98  																																																													| Equations (607) can reduce 496 to:
% 41.34/12.98  																																																													| (311) $false
% 41.34/12.98  																																																													|
% 41.34/12.98  																																																													|-The branch is then unsatisfiable
% 41.34/12.98  																																																							|-Branch two:
% 41.34/12.98  																																																							| (571)  ~ (all_0_91_91 = e3)
% 41.34/12.98  																																																							| (1456) all_0_91_91 = e0
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																								| Equations (1456) can reduce 1487 to:
% 41.34/12.98  																																																								| (311) $false
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								|-The branch is then unsatisfiable
% 41.34/12.98  																																																					|-Branch two:
% 41.34/12.98  																																																					| (2095)  ~ (all_0_96_96 = e0)
% 41.34/12.98  																																																					| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.98  																																																					|
% 41.34/12.98  																																																						+-Applying beta-rule and splitting (1400), into two cases.
% 41.34/12.98  																																																						|-Branch one:
% 41.34/12.98  																																																						| (1456) all_0_91_91 = e0
% 41.34/12.98  																																																						|
% 41.34/12.98  																																																							| Equations (1456) can reduce 296 to:
% 41.34/12.98  																																																							| (510)  ~ (e2 = e0)
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																							| Simplifying 510 yields:
% 41.34/12.98  																																																							| (76)  ~ (e2 = e0)
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																							+-Applying beta-rule and splitting (2096), into two cases.
% 41.34/12.98  																																																							|-Branch one:
% 41.34/12.98  																																																							| (560) all_0_97_97 = e0
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																								| Equations (560) can reduce 609 to:
% 41.34/12.98  																																																								| (311) $false
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								|-The branch is then unsatisfiable
% 41.34/12.98  																																																							|-Branch two:
% 41.34/12.98  																																																							| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.98  																																																							| (1121) all_0_98_98 = e0
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																								| Combining equations (1121,525) yields a new equation:
% 41.34/12.98  																																																								| (379) e2 = e0
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								| Equations (379) can reduce 76 to:
% 41.34/12.98  																																																								| (311) $false
% 41.34/12.98  																																																								|
% 41.34/12.98  																																																								|-The branch is then unsatisfiable
% 41.34/12.98  																																																						|-Branch two:
% 41.34/12.98  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.98  																																																						| (1837) all_0_96_96 = e0
% 41.34/12.98  																																																						|
% 41.34/12.98  																																																							| Equations (1837) can reduce 2095 to:
% 41.34/12.98  																																																							| (311) $false
% 41.34/12.98  																																																							|
% 41.34/12.98  																																																							|-The branch is then unsatisfiable
% 41.34/12.98  																																																			|-Branch two:
% 41.34/12.98  																																																			| (479)  ~ (all_0_88_88 = e1)
% 41.34/12.98  																																																			| (507) all_0_88_88 = e0
% 41.34/12.98  																																																			|
% 41.34/12.98  																																																				| From (507) and (161) follows:
% 41.34/12.98  																																																				| (2169) op(e2, e0) = all_0_74_74
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				| From (507) and (230) follows:
% 41.34/12.98  																																																				| (2170) op(e2, e0) = e0
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 41.34/12.98  																																																				| (1965) all_0_74_74 = e0
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				| Equations (1965) can reduce 1387 to:
% 41.34/12.98  																																																				| (311) $false
% 41.34/12.98  																																																				|
% 41.34/12.98  																																																				|-The branch is then unsatisfiable
% 41.34/12.98  																																											|-Branch two:
% 41.34/12.98  																																											| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 41.34/12.98  																																											|
% 41.34/12.98  																																												| Applying alpha-rule on (1391) yields:
% 41.34/12.98  																																												| (1392) all_0_75_75 = e1
% 41.34/12.98  																																												| (1393)  ~ (all_0_76_76 = e0)
% 41.34/12.98  																																												|
% 41.34/12.98  																																												| From (1392) and (173) follows:
% 41.34/12.98  																																												| (1394) op(e0, all_0_93_93) = e1
% 41.34/12.98  																																												|
% 41.34/12.98  																																												+-Applying beta-rule and splitting (207), into two cases.
% 41.34/12.98  																																												|-Branch one:
% 41.34/12.98  																																												| (416) all_0_80_80 = e3
% 41.34/12.98  																																												|
% 41.34/12.98  																																													| Combining equations (546,416) yields a new equation:
% 41.34/12.98  																																													| (548) e3 = e2
% 41.34/12.98  																																													|
% 41.34/12.98  																																													| Equations (548) can reduce 169 to:
% 41.34/12.98  																																													| (311) $false
% 41.34/12.98  																																													|
% 41.34/12.98  																																													|-The branch is then unsatisfiable
% 41.34/12.98  																																												|-Branch two:
% 41.34/12.98  																																												| (2347)  ~ (all_0_80_80 = e3)
% 41.34/12.98  																																												| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.34/12.98  																																												|
% 41.34/12.98  																																													+-Applying beta-rule and splitting (132), into two cases.
% 41.34/12.98  																																													|-Branch one:
% 41.34/12.98  																																													| (750) all_0_90_90 = e1
% 41.34/12.98  																																													|
% 41.34/12.98  																																														| Combining equations (583,750) yields a new equation:
% 41.34/12.98  																																														| (813) e4 = e1
% 41.34/12.98  																																														|
% 41.34/12.98  																																														| Simplifying 813 yields:
% 41.34/12.98  																																														| (814) e4 = e1
% 41.34/12.98  																																														|
% 41.34/12.98  																																														| Equations (814) can reduce 256 to:
% 41.34/12.98  																																														| (311) $false
% 41.34/12.98  																																														|
% 41.34/12.98  																																														|-The branch is then unsatisfiable
% 41.34/12.98  																																													|-Branch two:
% 41.34/12.98  																																													| (678)  ~ (all_0_90_90 = e1)
% 41.34/12.98  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.34/12.98  																																													|
% 41.34/12.98  																																														| Equations (583) can reduce 678 to:
% 41.34/12.98  																																														| (256)  ~ (e4 = e1)
% 41.34/12.98  																																														|
% 41.34/12.98  																																														+-Applying beta-rule and splitting (102), into two cases.
% 41.34/12.98  																																														|-Branch one:
% 41.34/12.98  																																														| (858) all_0_95_95 = e0
% 41.34/12.98  																																														|
% 41.34/12.98  																																															| Combining equations (785,858) yields a new equation:
% 41.34/12.98  																																															| (1107) e1 = e0
% 41.34/12.98  																																															|
% 41.34/12.98  																																															| Simplifying 1107 yields:
% 41.34/12.98  																																															| (865) e1 = e0
% 41.34/12.98  																																															|
% 41.34/12.98  																																															| Equations (865) can reduce 264 to:
% 41.34/12.98  																																															| (311) $false
% 41.34/12.98  																																															|
% 41.34/12.98  																																															|-The branch is then unsatisfiable
% 41.34/12.98  																																														|-Branch two:
% 41.34/12.98  																																														| (893)  ~ (all_0_95_95 = e0)
% 41.34/12.98  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.34/12.98  																																														|
% 41.34/12.98  																																															+-Applying beta-rule and splitting (151), into two cases.
% 41.34/12.98  																																															|-Branch one:
% 41.34/12.98  																																															| (824) all_0_80_80 = e1
% 41.34/12.98  																																															|
% 41.34/12.98  																																																| Combining equations (546,824) yields a new equation:
% 41.34/12.98  																																																| (408) e2 = e1
% 41.34/12.98  																																																|
% 41.34/12.98  																																																| Simplifying 408 yields:
% 41.34/12.98  																																																| (385) e2 = e1
% 41.34/12.98  																																																|
% 41.34/12.98  																																																| Equations (385) can reduce 243 to:
% 41.34/12.98  																																																| (311) $false
% 41.34/12.98  																																																|
% 41.34/12.98  																																																|-The branch is then unsatisfiable
% 41.34/12.98  																																															|-Branch two:
% 41.34/12.98  																																															| (828)  ~ (all_0_80_80 = e1)
% 41.34/12.98  																																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.34/12.98  																																															|
% 41.34/12.98  																																																+-Applying beta-rule and splitting (108), into two cases.
% 41.34/12.98  																																																|-Branch one:
% 41.34/12.98  																																																| (477) all_0_81_81 = e1
% 41.34/12.98  																																																|
% 41.34/12.98  																																																	| Combining equations (638,477) yields a new equation:
% 41.34/12.98  																																																	| (813) e4 = e1
% 41.34/12.98  																																																	|
% 41.34/12.98  																																																	| Simplifying 813 yields:
% 41.34/12.98  																																																	| (814) e4 = e1
% 41.34/12.98  																																																	|
% 41.34/12.98  																																																	| Equations (814) can reduce 256 to:
% 41.34/12.98  																																																	| (311) $false
% 41.34/12.98  																																																	|
% 41.34/12.98  																																																	|-The branch is then unsatisfiable
% 41.34/12.98  																																																|-Branch two:
% 41.34/12.99  																																																| (628)  ~ (all_0_81_81 = e1)
% 41.34/12.99  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 41.34/12.99  																																																|
% 41.34/12.99  																																																	+-Applying beta-rule and splitting (65), into two cases.
% 41.34/12.99  																																																	|-Branch one:
% 41.34/12.99  																																																	| (522) all_0_93_93 = e2
% 41.34/12.99  																																																	|
% 41.34/12.99  																																																		| Equations (522) can reduce 300 to:
% 41.34/12.99  																																																		| (311) $false
% 41.34/12.99  																																																		|
% 41.34/12.99  																																																		|-The branch is then unsatisfiable
% 41.34/12.99  																																																	|-Branch two:
% 41.34/12.99  																																																	| (300)  ~ (all_0_93_93 = e2)
% 41.34/12.99  																																																	| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 41.34/12.99  																																																	|
% 41.34/12.99  																																																		+-Applying beta-rule and splitting (119), into two cases.
% 41.34/12.99  																																																		|-Branch one:
% 41.34/12.99  																																																		| (1343) all_0_92_92 = e2
% 41.34/12.99  																																																		|
% 41.34/12.99  																																																			| Equations (1343) can reduce 298 to:
% 41.34/12.99  																																																			| (311) $false
% 41.34/12.99  																																																			|
% 41.34/12.99  																																																			|-The branch is then unsatisfiable
% 41.34/12.99  																																																		|-Branch two:
% 41.34/12.99  																																																		| (298)  ~ (all_0_92_92 = e2)
% 41.34/12.99  																																																		| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 41.34/12.99  																																																		|
% 41.34/12.99  																																																			+-Applying beta-rule and splitting (373), into two cases.
% 41.34/12.99  																																																			|-Branch one:
% 41.34/12.99  																																																			| (504) all_0_88_88 = e1
% 41.34/12.99  																																																			|
% 41.34/12.99  																																																				| Equations (504) can reduce 181 to:
% 41.34/12.99  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.99  																																																				|
% 41.34/12.99  																																																				| Equations (504) can reduce 286 to:
% 41.34/12.99  																																																				| (480)  ~ (all_0_93_93 = e1)
% 41.34/12.99  																																																				|
% 41.34/12.99  																																																				| Simplifying 480 yields:
% 41.34/12.99  																																																				| (481)  ~ (all_0_93_93 = e1)
% 41.34/12.99  																																																				|
% 41.34/12.99  																																																				+-Applying beta-rule and splitting (377), into two cases.
% 41.34/12.99  																																																				|-Branch one:
% 41.34/12.99  																																																				| (482) all_0_87_87 = e1
% 41.34/12.99  																																																				|
% 41.34/12.99  																																																					| Equations (482) can reduce 625 to:
% 41.34/12.99  																																																					| (311) $false
% 41.34/12.99  																																																					|
% 41.34/12.99  																																																					|-The branch is then unsatisfiable
% 41.34/12.99  																																																				|-Branch two:
% 41.34/12.99  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.34/12.99  																																																				| (861) all_0_87_87 = e0
% 41.34/12.99  																																																				|
% 41.34/12.99  																																																					| Equations (861) can reduce 221 to:
% 41.34/12.99  																																																					| (938)  ~ (all_0_97_97 = e0)
% 41.34/12.99  																																																					|
% 41.34/12.99  																																																					| Simplifying 938 yields:
% 41.34/12.99  																																																					| (609)  ~ (all_0_97_97 = e0)
% 41.34/12.99  																																																					|
% 41.34/12.99  																																																					+-Applying beta-rule and splitting (1921), into two cases.
% 41.34/12.99  																																																					|-Branch one:
% 41.34/12.99  																																																					| (1837) all_0_96_96 = e0
% 41.34/12.99  																																																					|
% 41.34/12.99  																																																						| Equations (1837) can reduce 64 to:
% 41.34/12.99  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.34/12.99  																																																						|
% 41.34/12.99  																																																						| From (1837) and (88) follows:
% 41.67/12.99  																																																						| (3888) op(e0, e0) = all_0_34_34
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																						+-Applying beta-rule and splitting (1726), into two cases.
% 41.67/12.99  																																																						|-Branch one:
% 41.67/12.99  																																																						| (801) all_0_91_91 = e1
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																							| Equations (801) can reduce 959 to:
% 41.67/12.99  																																																							| (311) $false
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																							|-The branch is then unsatisfiable
% 41.67/12.99  																																																						|-Branch two:
% 41.67/12.99  																																																						| (959)  ~ (all_0_91_91 = e1)
% 41.67/12.99  																																																						| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																							+-Applying beta-rule and splitting (1880), into two cases.
% 41.67/12.99  																																																							|-Branch one:
% 41.67/12.99  																																																							| (588) all_0_91_91 = e3
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																								| Equations (588) can reduce 265 to:
% 41.67/12.99  																																																								| (425)  ~ (all_0_92_92 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Simplifying 425 yields:
% 41.67/12.99  																																																								| (426)  ~ (all_0_92_92 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Equations (588) can reduce 44 to:
% 41.67/12.99  																																																								| (807)  ~ (all_0_93_93 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Simplifying 807 yields:
% 41.67/12.99  																																																								| (602)  ~ (all_0_93_93 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Equations (588) can reduce 133 to:
% 41.67/12.99  																																																								| (783)  ~ (e4 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Simplifying 783 yields:
% 41.67/12.99  																																																								| (177)  ~ (e4 = e3)
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								+-Applying beta-rule and splitting (2481), into two cases.
% 41.67/12.99  																																																								|-Branch one:
% 41.67/12.99  																																																								| (1265) all_0_84_84 = e3
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																									| Combining equations (438,1265) yields a new equation:
% 41.67/12.99  																																																									| (790) e4 = e3
% 41.67/12.99  																																																									|
% 41.67/12.99  																																																									| Simplifying 790 yields:
% 41.67/12.99  																																																									| (434) e4 = e3
% 41.67/12.99  																																																									|
% 41.67/12.99  																																																									| Equations (434) can reduce 177 to:
% 41.67/12.99  																																																									| (311) $false
% 41.67/12.99  																																																									|
% 41.67/12.99  																																																									|-The branch is then unsatisfiable
% 41.67/12.99  																																																								|-Branch two:
% 41.67/12.99  																																																								| (422)  ~ (all_0_84_84 = e3)
% 41.67/12.99  																																																								| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																									+-Applying beta-rule and splitting (3765), into two cases.
% 41.67/12.99  																																																									|-Branch one:
% 41.67/12.99  																																																									| (882) all_0_92_92 = e3
% 41.67/12.99  																																																									|
% 41.67/12.99  																																																										| Equations (882) can reduce 426 to:
% 41.67/12.99  																																																										| (311) $false
% 41.67/12.99  																																																										|
% 41.67/12.99  																																																										|-The branch is then unsatisfiable
% 41.67/12.99  																																																									|-Branch two:
% 41.67/12.99  																																																									| (426)  ~ (all_0_92_92 = e3)
% 41.67/12.99  																																																									| (556) all_0_97_97 = e3
% 41.67/12.99  																																																									|
% 41.67/12.99  																																																										| Equations (556) can reduce 486 to:
% 41.67/12.99  																																																										| (20)  ~ (e3 = e1)
% 41.67/12.99  																																																										|
% 41.67/12.99  																																																										+-Applying beta-rule and splitting (565), into two cases.
% 41.67/12.99  																																																										|-Branch one:
% 41.67/12.99  																																																										| (566) all_0_93_93 = e1
% 41.67/12.99  																																																										|
% 41.67/12.99  																																																											| Equations (566) can reduce 481 to:
% 41.67/12.99  																																																											| (311) $false
% 41.67/12.99  																																																											|
% 41.67/12.99  																																																											|-The branch is then unsatisfiable
% 41.67/12.99  																																																										|-Branch two:
% 41.67/12.99  																																																										| (481)  ~ (all_0_93_93 = e1)
% 41.67/12.99  																																																										| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 41.67/12.99  																																																										|
% 41.67/12.99  																																																											+-Applying beta-rule and splitting (569), into two cases.
% 41.67/12.99  																																																											|-Branch one:
% 41.67/12.99  																																																											| (570) all_0_93_93 = e3
% 41.67/12.99  																																																											|
% 41.67/12.99  																																																												| Equations (570) can reduce 602 to:
% 41.67/12.99  																																																												| (311) $false
% 41.67/12.99  																																																												|
% 41.67/12.99  																																																												|-The branch is then unsatisfiable
% 41.67/12.99  																																																											|-Branch two:
% 41.67/12.99  																																																											| (602)  ~ (all_0_93_93 = e3)
% 41.67/12.99  																																																											| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 41.67/12.99  																																																											|
% 41.67/12.99  																																																												+-Applying beta-rule and splitting (603), into two cases.
% 41.67/12.99  																																																												|-Branch one:
% 41.67/12.99  																																																												| (604) all_0_93_93 = e0
% 41.67/12.99  																																																												|
% 41.67/12.99  																																																													| Equations (604) can reduce 481 to:
% 41.67/12.99  																																																													| (859)  ~ (e1 = e0)
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																													| Simplifying 859 yields:
% 41.67/12.99  																																																													| (264)  ~ (e1 = e0)
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																													| From (604) and (30) follows:
% 41.67/12.99  																																																													| (3922) op(e0, e0) = all_0_29_29
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																													| From (604) and (1394) follows:
% 41.67/12.99  																																																													| (3060) op(e0, e0) = e1
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																													+-Applying beta-rule and splitting (1526), into two cases.
% 41.67/12.99  																																																													|-Branch one:
% 41.67/12.99  																																																													| (801) all_0_91_91 = e1
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																														| Combining equations (801,588) yields a new equation:
% 41.67/12.99  																																																														| (772) e3 = e1
% 41.67/12.99  																																																														|
% 41.67/12.99  																																																														| Equations (772) can reduce 20 to:
% 41.67/12.99  																																																														| (311) $false
% 41.67/12.99  																																																														|
% 41.67/12.99  																																																														|-The branch is then unsatisfiable
% 41.67/12.99  																																																													|-Branch two:
% 41.67/12.99  																																																													| (959)  ~ (all_0_91_91 = e1)
% 41.67/12.99  																																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																														+-Applying beta-rule and splitting (829), into two cases.
% 41.67/12.99  																																																														|-Branch one:
% 41.67/12.99  																																																														| (482) all_0_87_87 = e1
% 41.67/12.99  																																																														|
% 41.67/12.99  																																																															| Combining equations (861,482) yields a new equation:
% 41.67/12.99  																																																															| (865) e1 = e0
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																															| Equations (865) can reduce 264 to:
% 41.67/12.99  																																																															| (311) $false
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																															|-The branch is then unsatisfiable
% 41.67/12.99  																																																														|-Branch two:
% 41.67/12.99  																																																														| (625)  ~ (all_0_87_87 = e1)
% 41.67/12.99  																																																														| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.67/12.99  																																																														|
% 41.67/12.99  																																																															| Equations (861) can reduce 625 to:
% 41.67/12.99  																																																															| (859)  ~ (e1 = e0)
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																															| Simplifying 859 yields:
% 41.67/12.99  																																																															| (264)  ~ (e1 = e0)
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																															+-Applying beta-rule and splitting (3735), into two cases.
% 41.67/12.99  																																																															|-Branch one:
% 41.67/12.99  																																																															| (836) all_0_92_92 = e1
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																																| Equations (836) can reduce 298 to:
% 41.67/12.99  																																																																| (487)  ~ (e2 = e1)
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Simplifying 487 yields:
% 41.67/12.99  																																																																| (243)  ~ (e2 = e1)
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Instantiating formula (262) with e0, e0, all_0_34_34, e2 and discharging atoms op(e0, e0) = all_0_34_34, op(e0, e0) = e2, yields:
% 41.67/12.99  																																																																| (3939) all_0_34_34 = e2
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Instantiating formula (262) with e0, e0, all_0_34_34, all_0_29_29 and discharging atoms op(e0, e0) = all_0_29_29, op(e0, e0) = all_0_34_34, yields:
% 41.67/12.99  																																																																| (3940) all_0_29_29 = all_0_34_34
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Instantiating formula (262) with e0, e0, e1, all_0_29_29 and discharging atoms op(e0, e0) = all_0_29_29, op(e0, e0) = e1, yields:
% 41.67/12.99  																																																																| (3941) all_0_29_29 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Combining equations (3940,3941) yields a new equation:
% 41.67/12.99  																																																																| (3942) all_0_34_34 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Simplifying 3942 yields:
% 41.67/12.99  																																																																| (3943) all_0_34_34 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Combining equations (3943,3939) yields a new equation:
% 41.67/12.99  																																																																| (385) e2 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																| Equations (385) can reduce 243 to:
% 41.67/12.99  																																																																| (311) $false
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																|-The branch is then unsatisfiable
% 41.67/12.99  																																																															|-Branch two:
% 41.67/12.99  																																																															| (840)  ~ (all_0_92_92 = e1)
% 41.67/12.99  																																																															| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 41.67/12.99  																																																															|
% 41.67/12.99  																																																																+-Applying beta-rule and splitting (1556), into two cases.
% 41.67/12.99  																																																																|-Branch one:
% 41.67/12.99  																																																																| (836) all_0_92_92 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																	| Equations (836) can reduce 840 to:
% 41.67/12.99  																																																																	| (311) $false
% 41.67/12.99  																																																																	|
% 41.67/12.99  																																																																	|-The branch is then unsatisfiable
% 41.67/12.99  																																																																|-Branch two:
% 41.67/12.99  																																																																| (840)  ~ (all_0_92_92 = e1)
% 41.67/12.99  																																																																| (566) all_0_93_93 = e1
% 41.67/12.99  																																																																|
% 41.67/12.99  																																																																	| Combining equations (566,604) yields a new equation:
% 41.67/12.99  																																																																	| (1107) e1 = e0
% 41.67/12.99  																																																																	|
% 41.67/12.99  																																																																	| Simplifying 1107 yields:
% 41.67/12.99  																																																																	| (865) e1 = e0
% 41.67/12.99  																																																																	|
% 41.67/12.99  																																																																	| Equations (865) can reduce 264 to:
% 41.67/12.99  																																																																	| (311) $false
% 41.67/12.99  																																																																	|
% 41.67/12.99  																																																																	|-The branch is then unsatisfiable
% 41.67/12.99  																																																												|-Branch two:
% 41.67/12.99  																																																												| (509)  ~ (all_0_93_93 = e0)
% 41.67/12.99  																																																												| (607) all_0_93_93 = e4
% 41.67/12.99  																																																												|
% 41.67/12.99  																																																													| Equations (607) can reduce 496 to:
% 41.67/12.99  																																																													| (311) $false
% 41.67/12.99  																																																													|
% 41.67/12.99  																																																													|-The branch is then unsatisfiable
% 41.67/12.99  																																																							|-Branch two:
% 41.67/12.99  																																																							| (571)  ~ (all_0_91_91 = e3)
% 41.67/12.99  																																																							| (1456) all_0_91_91 = e0
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																								| Equations (1456) can reduce 1487 to:
% 41.67/12.99  																																																								| (311) $false
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								|-The branch is then unsatisfiable
% 41.67/12.99  																																																					|-Branch two:
% 41.67/12.99  																																																					| (2095)  ~ (all_0_96_96 = e0)
% 41.67/12.99  																																																					| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																						+-Applying beta-rule and splitting (1400), into two cases.
% 41.67/12.99  																																																						|-Branch one:
% 41.67/12.99  																																																						| (1456) all_0_91_91 = e0
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																							| Equations (1456) can reduce 296 to:
% 41.67/12.99  																																																							| (510)  ~ (e2 = e0)
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																							| Simplifying 510 yields:
% 41.67/12.99  																																																							| (76)  ~ (e2 = e0)
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																							+-Applying beta-rule and splitting (2096), into two cases.
% 41.67/12.99  																																																							|-Branch one:
% 41.67/12.99  																																																							| (560) all_0_97_97 = e0
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																								| Equations (560) can reduce 609 to:
% 41.67/12.99  																																																								| (311) $false
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								|-The branch is then unsatisfiable
% 41.67/12.99  																																																							|-Branch two:
% 41.67/12.99  																																																							| (609)  ~ (all_0_97_97 = e0)
% 41.67/12.99  																																																							| (1121) all_0_98_98 = e0
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																								| Combining equations (1121,525) yields a new equation:
% 41.67/12.99  																																																								| (379) e2 = e0
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								| Equations (379) can reduce 76 to:
% 41.67/12.99  																																																								| (311) $false
% 41.67/12.99  																																																								|
% 41.67/12.99  																																																								|-The branch is then unsatisfiable
% 41.67/12.99  																																																						|-Branch two:
% 41.67/12.99  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 41.67/12.99  																																																						| (1837) all_0_96_96 = e0
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																							| Equations (1837) can reduce 2095 to:
% 41.67/12.99  																																																							| (311) $false
% 41.67/12.99  																																																							|
% 41.67/12.99  																																																							|-The branch is then unsatisfiable
% 41.67/12.99  																																																			|-Branch two:
% 41.67/12.99  																																																			| (479)  ~ (all_0_88_88 = e1)
% 41.67/12.99  																																																			| (507) all_0_88_88 = e0
% 41.67/12.99  																																																			|
% 41.67/12.99  																																																				| Equations (507) can reduce 181 to:
% 41.67/12.99  																																																				| (889)  ~ (all_0_87_87 = e0)
% 41.67/12.99  																																																				|
% 41.67/12.99  																																																				+-Applying beta-rule and splitting (377), into two cases.
% 41.67/12.99  																																																				|-Branch one:
% 41.67/12.99  																																																				| (482) all_0_87_87 = e1
% 41.67/12.99  																																																				|
% 41.67/12.99  																																																					| Equations (482) can reduce 221 to:
% 41.67/12.99  																																																					| (485)  ~ (all_0_97_97 = e1)
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																					| Simplifying 485 yields:
% 41.67/12.99  																																																					| (486)  ~ (all_0_97_97 = e1)
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																					| Equations (482) can reduce 349 to:
% 41.67/12.99  																																																					| (487)  ~ (e2 = e1)
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																					| Simplifying 487 yields:
% 41.67/12.99  																																																					| (243)  ~ (e2 = e1)
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																					| Equations (482) can reduce 889 to:
% 41.67/12.99  																																																					| (264)  ~ (e1 = e0)
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																					+-Applying beta-rule and splitting (817), into two cases.
% 41.67/12.99  																																																					|-Branch one:
% 41.67/12.99  																																																					| (504) all_0_88_88 = e1
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																						| Combining equations (507,504) yields a new equation:
% 41.67/12.99  																																																						| (865) e1 = e0
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																						| Equations (865) can reduce 264 to:
% 41.67/12.99  																																																						| (311) $false
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																						|-The branch is then unsatisfiable
% 41.67/12.99  																																																					|-Branch two:
% 41.67/12.99  																																																					| (479)  ~ (all_0_88_88 = e1)
% 41.67/12.99  																																																					| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 41.67/12.99  																																																					|
% 41.67/12.99  																																																						+-Applying beta-rule and splitting (897), into two cases.
% 41.67/12.99  																																																						|-Branch one:
% 41.67/12.99  																																																						| (566) all_0_93_93 = e1
% 41.67/12.99  																																																						|
% 41.67/12.99  																																																							| From (566) and (1394) follows:
% 41.67/13.00  																																																							| (2475) op(e0, e1) = e1
% 41.67/13.00  																																																							|
% 41.67/13.00  																																																							| Instantiating formula (262) with e0, e1, e1, all_0_97_97 and discharging atoms op(e0, e1) = all_0_97_97, op(e0, e1) = e1, yields:
% 41.67/13.00  																																																							| (542) all_0_97_97 = e1
% 41.67/13.00  																																																							|
% 41.67/13.00  																																																							| Equations (542) can reduce 486 to:
% 41.67/13.00  																																																							| (311) $false
% 41.67/13.00  																																																							|
% 41.67/13.00  																																																							|-The branch is then unsatisfiable
% 41.67/13.00  																																																						|-Branch two:
% 41.67/13.00  																																																						| (481)  ~ (all_0_93_93 = e1)
% 41.67/13.00  																																																						| (1543) all_0_98_98 = e1
% 41.67/13.00  																																																						|
% 41.67/13.00  																																																							| Combining equations (1543,525) yields a new equation:
% 41.67/13.00  																																																							| (385) e2 = e1
% 41.67/13.00  																																																							|
% 41.67/13.00  																																																							| Equations (385) can reduce 243 to:
% 41.67/13.00  																																																							| (311) $false
% 41.67/13.00  																																																							|
% 41.67/13.00  																																																							|-The branch is then unsatisfiable
% 41.67/13.00  																																																				|-Branch two:
% 41.67/13.00  																																																				| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.00  																																																				| (861) all_0_87_87 = e0
% 41.67/13.00  																																																				|
% 41.67/13.00  																																																					| Equations (861) can reduce 889 to:
% 41.67/13.00  																																																					| (311) $false
% 41.67/13.00  																																																					|
% 41.67/13.00  																																																					|-The branch is then unsatisfiable
% 41.67/13.00  																																					|-Branch two:
% 41.67/13.00  																																					| (914)  ~ (all_0_82_82 = e0)
% 41.67/13.00  																																					| (469) all_0_82_82 = e4
% 41.67/13.00  																																					|
% 41.67/13.00  																																						| Equations (469) can reduce 465 to:
% 41.67/13.00  																																						| (311) $false
% 41.67/13.00  																																						|
% 41.67/13.00  																																						|-The branch is then unsatisfiable
% 41.67/13.00  																																			|-Branch two:
% 41.67/13.00  																																			| (467)  ~ (all_0_90_90 = e4)
% 41.67/13.00  																																			| (894) all_0_95_95 = e4
% 41.67/13.00  																																			|
% 41.67/13.00  																																				| Equations (894) can reduce 315 to:
% 41.67/13.00  																																				| (311) $false
% 41.67/13.00  																																				|
% 41.67/13.00  																																				|-The branch is then unsatisfiable
% 41.67/13.00  																																		|-Branch two:
% 41.67/13.00  																																		| (417)  ~ (all_0_84_84 = e4)
% 41.67/13.00  																																		| (493) all_0_85_85 = e4
% 41.67/13.00  																																		|
% 41.67/13.00  																																			| Equations (493) can reduce 648 to:
% 41.67/13.00  																																			| (311) $false
% 41.67/13.00  																																			|
% 41.67/13.00  																																			|-The branch is then unsatisfiable
% 41.67/13.00  																								|-Branch two:
% 41.67/13.00  																								| (394)  ~ (all_0_80_80 = e2)
% 41.67/13.00  																								| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 41.67/13.00  																								|
% 41.67/13.00  																									+-Applying beta-rule and splitting (192), into two cases.
% 41.67/13.00  																									|-Branch one:
% 41.67/13.00  																									| (546) all_0_80_80 = e2
% 41.67/13.00  																									|
% 41.67/13.00  																										| Equations (546) can reduce 394 to:
% 41.67/13.00  																										| (311) $false
% 41.67/13.00  																										|
% 41.67/13.00  																										|-The branch is then unsatisfiable
% 41.67/13.00  																									|-Branch two:
% 41.67/13.00  																									| (394)  ~ (all_0_80_80 = e2)
% 41.67/13.00  																									| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 41.67/13.00  																									|
% 41.67/13.00  																										+-Applying beta-rule and splitting (3232), into two cases.
% 41.67/13.00  																										|-Branch one:
% 41.67/13.00  																										| (824) all_0_80_80 = e1
% 41.67/13.00  																										|
% 41.67/13.00  																											| Equations (824) can reduce 828 to:
% 41.67/13.00  																											| (311) $false
% 41.67/13.00  																											|
% 41.67/13.00  																											|-The branch is then unsatisfiable
% 41.67/13.00  																										|-Branch two:
% 41.67/13.00  																										| (828)  ~ (all_0_80_80 = e1)
% 41.67/13.00  																										| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 41.67/13.00  																										|
% 41.67/13.00  																											+-Applying beta-rule and splitting (4018), into two cases.
% 41.67/13.00  																											|-Branch one:
% 41.67/13.00  																											| (416) all_0_80_80 = e3
% 41.67/13.00  																											|
% 41.67/13.00  																												| Equations (416) can reduce 2347 to:
% 41.67/13.00  																												| (311) $false
% 41.67/13.00  																												|
% 41.67/13.00  																												|-The branch is then unsatisfiable
% 41.67/13.00  																											|-Branch two:
% 41.67/13.00  																											| (2347)  ~ (all_0_80_80 = e3)
% 41.67/13.00  																											| (433) all_0_80_80 = e4
% 41.67/13.00  																											|
% 41.67/13.00  																												| Equations (433) can reduce 144 to:
% 41.67/13.00  																												| (1730)  ~ (all_0_81_81 = e4)
% 41.67/13.00  																												|
% 41.67/13.00  																												| Simplifying 1730 yields:
% 41.67/13.00  																												| (634)  ~ (all_0_81_81 = e4)
% 41.67/13.00  																												|
% 41.67/13.00  																												| Equations (433) can reduce 2347 to:
% 41.67/13.00  																												| (177)  ~ (e4 = e3)
% 41.67/13.00  																												|
% 41.67/13.00  																												| Equations (433) can reduce 166 to:
% 41.67/13.00  																												| (23)  ~ (e4 = e0)
% 41.67/13.00  																												|
% 41.67/13.00  																												| From (433) and (233) follows:
% 41.67/13.00  																												| (4027) op(e1, e4) = all_0_60_60
% 41.67/13.00  																												|
% 41.67/13.00  																												+-Applying beta-rule and splitting (123), into two cases.
% 41.67/13.00  																												|-Branch one:
% 41.67/13.00  																												| (473) all_0_81_81 = e2
% 41.67/13.00  																												|
% 41.67/13.00  																													| Equations (473) can reduce 118 to:
% 41.67/13.00  																													| (691)  ~ (all_0_85_85 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 691 yields:
% 41.67/13.00  																													| (515)  ~ (all_0_85_85 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 266 to:
% 41.67/13.00  																													| (350)  ~ (all_0_88_88 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 350 yields:
% 41.67/13.00  																													| (351)  ~ (all_0_88_88 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 277 to:
% 41.67/13.00  																													| (299)  ~ (all_0_93_93 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 299 yields:
% 41.67/13.00  																													| (300)  ~ (all_0_93_93 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 5 to:
% 41.67/13.00  																													| (1348)  ~ (all_0_98_98 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 1348 yields:
% 41.67/13.00  																													| (1349)  ~ (all_0_98_98 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 634 to:
% 41.67/13.00  																													| (528)  ~ (e4 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 528 yields:
% 41.67/13.00  																													| (79)  ~ (e4 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 420 to:
% 41.67/13.00  																													| (356)  ~ (e3 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Simplifying 356 yields:
% 41.67/13.00  																													| (169)  ~ (e3 = e2)
% 41.67/13.00  																													|
% 41.67/13.00  																													| Equations (473) can reduce 628 to:
% 41.67/13.00  																													| (243)  ~ (e2 = e1)
% 41.67/13.00  																													|
% 41.67/13.00  																													| From (473) and (19) follows:
% 41.67/13.00  																													| (4042) op(e2, e4) = all_0_6_6
% 41.67/13.00  																													|
% 41.67/13.00  																													| From (473) and (111) follows:
% 41.67/13.00  																													| (4043) op(e2, e0) = all_0_7_7
% 41.67/13.00  																													|
% 41.67/13.00  																													| From (473) and (68) follows:
% 41.67/13.00  																													| (4044) op(e4, e2) = all_0_70_70
% 41.67/13.00  																													|
% 41.67/13.00  																													| From (473) and (156) follows:
% 41.67/13.00  																													| (4045) op(e4, e0) = e2
% 41.67/13.00  																													|
% 41.67/13.00  																													| From (473) and (145) follows:
% 41.67/13.00  																													| (1751) op(e0, e2) = all_0_69_69
% 41.67/13.00  																													|
% 41.67/13.00  																													+-Applying beta-rule and splitting (97), into two cases.
% 41.67/13.00  																													|-Branch one:
% 41.67/13.00  																													| (1757) all_0_94_94 = e2
% 41.67/13.00  																													|
% 41.67/13.00  																														| Combining equations (313,1757) yields a new equation:
% 41.67/13.00  																														| (309) e4 = e2
% 41.67/13.00  																														|
% 41.67/13.00  																														| Simplifying 309 yields:
% 41.67/13.00  																														| (310) e4 = e2
% 41.67/13.00  																														|
% 41.67/13.00  																														| Equations (310) can reduce 79 to:
% 41.67/13.00  																														| (311) $false
% 41.67/13.00  																														|
% 41.67/13.00  																														|-The branch is then unsatisfiable
% 41.67/13.00  																													|-Branch two:
% 41.67/13.00  																													| (1761)  ~ (all_0_94_94 = e2)
% 41.67/13.00  																													| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.67/13.00  																													|
% 41.67/13.00  																														+-Applying beta-rule and splitting (1762), into two cases.
% 41.67/13.00  																														|-Branch one:
% 41.67/13.00  																														| (767) all_0_95_95 = e2
% 41.67/13.00  																														|
% 41.67/13.00  																															| Equations (767) can reduce 355 to:
% 41.67/13.00  																															| (311) $false
% 41.67/13.00  																															|
% 41.67/13.00  																															|-The branch is then unsatisfiable
% 41.67/13.00  																														|-Branch two:
% 41.67/13.00  																														| (355)  ~ (all_0_95_95 = e2)
% 41.67/13.00  																														| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 41.67/13.00  																														|
% 41.67/13.00  																															+-Applying beta-rule and splitting (1772), into two cases.
% 41.67/13.00  																															|-Branch one:
% 41.67/13.00  																															| (1704) all_0_96_96 = e2
% 41.67/13.00  																															|
% 41.67/13.00  																																| Equations (1704) can reduce 1638 to:
% 41.67/13.00  																																| (311) $false
% 41.67/13.00  																																|
% 41.67/13.00  																																|-The branch is then unsatisfiable
% 41.67/13.00  																															|-Branch two:
% 41.67/13.00  																															| (1638)  ~ (all_0_96_96 = e2)
% 41.67/13.00  																															| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 41.67/13.00  																															|
% 41.67/13.00  																																+-Applying beta-rule and splitting (1783), into two cases.
% 41.67/13.00  																																|-Branch one:
% 41.67/13.00  																																| (538) all_0_97_97 = e2
% 41.67/13.00  																																|
% 41.67/13.00  																																	| Equations (538) can reduce 195 to:
% 41.67/13.00  																																	| (612)  ~ (all_0_84_84 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Equations (538) can reduce 221 to:
% 41.67/13.00  																																	| (349)  ~ (all_0_87_87 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Equations (538) can reduce 258 to:
% 41.67/13.00  																																	| (298)  ~ (all_0_92_92 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Equations (538) can reduce 105 to:
% 41.67/13.00  																																	| (355)  ~ (all_0_95_95 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Equations (538) can reduce 22 to:
% 41.67/13.00  																																	| (1638)  ~ (all_0_96_96 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Equations (538) can reduce 148 to:
% 41.67/13.00  																																	| (1348)  ~ (all_0_98_98 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Simplifying 1348 yields:
% 41.67/13.00  																																	| (1349)  ~ (all_0_98_98 = e2)
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| From (538) and (213) follows:
% 41.67/13.00  																																	| (4069) op(e2, e0) = all_0_36_36
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| From (538) and (252) follows:
% 41.67/13.00  																																	| (4070) op(e1, e2) = all_0_67_67
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| From (538) and (69) follows:
% 41.67/13.00  																																	| (1352) op(e0, e2) = all_0_68_68
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e4, e2, all_0_70_70, e1 and discharging atoms op(e4, e2) = all_0_70_70, op(e4, e2) = e1, yields:
% 41.67/13.00  																																	| (4072) all_0_70_70 = e1
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e2, e4, all_0_6_6, e3 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = e3, yields:
% 41.67/13.00  																																	| (4073) all_0_6_6 = e3
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e2, e0, all_0_7_7, all_0_88_88 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_88_88, yields:
% 41.67/13.00  																																	| (4074) all_0_7_7 = all_0_88_88
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e2, e0, all_0_36_36, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_36_36, yields:
% 41.67/13.00  																																	| (4075) all_0_7_7 = all_0_36_36
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 41.67/13.00  																																	| (4076) all_0_60_60 = e2
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 41.67/13.00  																																	| (4077) all_0_67_67 = all_0_91_91
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 41.67/13.00  																																	| (1368) all_0_68_68 = all_0_96_96
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Instantiating formula (262) with e0, e2, all_0_69_69, all_0_68_68 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_69_69, yields:
% 41.67/13.00  																																	| (1792) all_0_68_68 = all_0_69_69
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Combining equations (4074,4075) yields a new equation:
% 41.67/13.00  																																	| (4080) all_0_36_36 = all_0_88_88
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Combining equations (1368,1792) yields a new equation:
% 41.67/13.00  																																	| (1794) all_0_69_69 = all_0_96_96
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| Combining equations (1794,1792) yields a new equation:
% 41.67/13.00  																																	| (1368) all_0_68_68 = all_0_96_96
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| From (4072) and (4044) follows:
% 41.67/13.00  																																	| (1678) op(e4, e2) = e1
% 41.67/13.00  																																	|
% 41.67/13.00  																																	| From (4073) and (4042) follows:
% 41.67/13.01  																																	| (172) op(e2, e4) = e3
% 41.67/13.01  																																	|
% 41.67/13.01  																																	| From (4080) and (4069) follows:
% 41.67/13.01  																																	| (230) op(e2, e0) = all_0_88_88
% 41.67/13.01  																																	|
% 41.67/13.01  																																	| From (4076) and (4027) follows:
% 41.67/13.01  																																	| (307) op(e1, e4) = e2
% 41.67/13.01  																																	|
% 41.67/13.01  																																	| From (1794) and (1751) follows:
% 41.67/13.01  																																	| (59) op(e0, e2) = all_0_96_96
% 41.67/13.01  																																	|
% 41.67/13.01  																																	+-Applying beta-rule and splitting (109), into two cases.
% 41.67/13.01  																																	|-Branch one:
% 41.67/13.01  																																	| (469) all_0_82_82 = e4
% 41.67/13.01  																																	|
% 41.67/13.01  																																		| Equations (469) can reduce 7 to:
% 41.67/13.01  																																		| (662)  ~ (all_0_84_84 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Simplifying 662 yields:
% 41.67/13.01  																																		| (417)  ~ (all_0_84_84 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Equations (469) can reduce 209 to:
% 41.67/13.01  																																		| (647)  ~ (all_0_85_85 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Simplifying 647 yields:
% 41.67/13.01  																																		| (648)  ~ (all_0_85_85 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Equations (469) can reduce 200 to:
% 41.67/13.01  																																		| (314)  ~ (all_0_95_95 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Simplifying 314 yields:
% 41.67/13.01  																																		| (315)  ~ (all_0_95_95 = e4)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Equations (469) can reduce 793 to:
% 41.67/13.01  																																		| (177)  ~ (e4 = e3)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Equations (469) can reduce 347 to:
% 41.67/13.01  																																		| (79)  ~ (e4 = e2)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		| Equations (469) can reduce 198 to:
% 41.67/13.01  																																		| (256)  ~ (e4 = e1)
% 41.67/13.01  																																		|
% 41.67/13.01  																																		+-Applying beta-rule and splitting (168), into two cases.
% 41.67/13.01  																																		|-Branch one:
% 41.67/13.01  																																		| (638) all_0_81_81 = e4
% 41.67/13.01  																																		|
% 41.67/13.01  																																			| Combining equations (638,473) yields a new equation:
% 41.67/13.01  																																			| (309) e4 = e2
% 41.67/13.01  																																			|
% 41.67/13.01  																																			| Simplifying 309 yields:
% 41.67/13.01  																																			| (310) e4 = e2
% 41.67/13.01  																																			|
% 41.67/13.01  																																			| Equations (310) can reduce 79 to:
% 41.67/13.01  																																			| (311) $false
% 41.67/13.01  																																			|
% 41.67/13.01  																																			|-The branch is then unsatisfiable
% 41.67/13.01  																																		|-Branch two:
% 41.67/13.01  																																		| (634)  ~ (all_0_81_81 = e4)
% 41.67/13.01  																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 41.67/13.01  																																		|
% 41.67/13.01  																																			+-Applying beta-rule and splitting (2559), into two cases.
% 41.67/13.01  																																			|-Branch one:
% 41.67/13.01  																																			| (493) all_0_85_85 = e4
% 41.67/13.01  																																			|
% 41.67/13.01  																																				| Equations (493) can reduce 648 to:
% 41.67/13.01  																																				| (311) $false
% 41.67/13.01  																																				|
% 41.67/13.01  																																				|-The branch is then unsatisfiable
% 41.67/13.01  																																			|-Branch two:
% 41.67/13.01  																																			| (648)  ~ (all_0_85_85 = e4)
% 41.67/13.01  																																			| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 41.67/13.01  																																			|
% 41.67/13.01  																																				+-Applying beta-rule and splitting (2576), into two cases.
% 41.67/13.01  																																				|-Branch one:
% 41.67/13.01  																																				| (607) all_0_93_93 = e4
% 41.67/13.01  																																				|
% 41.67/13.01  																																					| Equations (607) can reduce 201 to:
% 41.67/13.01  																																					| (648)  ~ (all_0_85_85 = e4)
% 41.67/13.01  																																					|
% 41.67/13.01  																																					| Equations (607) can reduce 34 to:
% 41.67/13.01  																																					| (467)  ~ (all_0_90_90 = e4)
% 41.67/13.01  																																					|
% 41.67/13.01  																																					+-Applying beta-rule and splitting (282), into two cases.
% 41.67/13.01  																																					|-Branch one:
% 41.67/13.01  																																					| (754) all_0_90_90 = e3
% 41.67/13.01  																																					|
% 41.67/13.01  																																						| Equations (754) can reduce 745 to:
% 41.67/13.01  																																						| (311) $false
% 41.67/13.01  																																						|
% 41.67/13.01  																																						|-The branch is then unsatisfiable
% 41.67/13.01  																																					|-Branch two:
% 41.67/13.01  																																					| (745)  ~ (all_0_90_90 = e3)
% 41.67/13.01  																																					| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.67/13.01  																																					|
% 41.67/13.01  																																						+-Applying beta-rule and splitting (171), into two cases.
% 41.67/13.01  																																						|-Branch one:
% 41.67/13.01  																																						| (789) all_0_82_82 = e3
% 41.67/13.01  																																						|
% 41.67/13.01  																																							| Combining equations (469,789) yields a new equation:
% 41.67/13.01  																																							| (790) e4 = e3
% 41.67/13.01  																																							|
% 41.67/13.01  																																							| Simplifying 790 yields:
% 41.67/13.01  																																							| (434) e4 = e3
% 41.67/13.01  																																							|
% 41.67/13.01  																																							| Equations (434) can reduce 177 to:
% 41.67/13.01  																																							| (311) $false
% 41.67/13.01  																																							|
% 41.67/13.01  																																							|-The branch is then unsatisfiable
% 41.67/13.01  																																						|-Branch two:
% 41.67/13.01  																																						| (793)  ~ (all_0_82_82 = e3)
% 41.67/13.01  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.67/13.01  																																						|
% 41.67/13.01  																																							| Equations (469) can reduce 793 to:
% 41.67/13.01  																																							| (177)  ~ (e4 = e3)
% 41.67/13.01  																																							|
% 41.67/13.01  																																							+-Applying beta-rule and splitting (254), into two cases.
% 41.67/13.01  																																							|-Branch one:
% 41.67/13.01  																																							| (910) all_0_82_82 = e0
% 41.67/13.01  																																							|
% 41.67/13.01  																																								| Combining equations (469,910) yields a new equation:
% 41.67/13.01  																																								| (911) e4 = e0
% 41.67/13.01  																																								|
% 41.67/13.01  																																								| Simplifying 911 yields:
% 41.67/13.01  																																								| (912) e4 = e0
% 41.67/13.01  																																								|
% 41.67/13.01  																																								| Equations (912) can reduce 23 to:
% 41.67/13.01  																																								| (311) $false
% 41.67/13.01  																																								|
% 41.67/13.01  																																								|-The branch is then unsatisfiable
% 41.67/13.01  																																							|-Branch two:
% 41.67/13.01  																																							| (914)  ~ (all_0_82_82 = e0)
% 41.67/13.01  																																							| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 41.67/13.01  																																							|
% 41.67/13.01  																																								+-Applying beta-rule and splitting (207), into two cases.
% 41.67/13.01  																																								|-Branch one:
% 41.67/13.01  																																								| (416) all_0_80_80 = e3
% 41.67/13.01  																																								|
% 41.67/13.01  																																									| Combining equations (433,416) yields a new equation:
% 41.67/13.01  																																									| (790) e4 = e3
% 41.67/13.01  																																									|
% 41.67/13.01  																																									| Simplifying 790 yields:
% 41.67/13.01  																																									| (434) e4 = e3
% 41.67/13.01  																																									|
% 41.67/13.01  																																									| Equations (434) can reduce 177 to:
% 41.67/13.01  																																									| (311) $false
% 41.67/13.01  																																									|
% 41.67/13.01  																																									|-The branch is then unsatisfiable
% 41.67/13.01  																																								|-Branch two:
% 41.67/13.01  																																								| (2347)  ~ (all_0_80_80 = e3)
% 41.67/13.01  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.67/13.01  																																								|
% 41.67/13.01  																																									| Equations (433) can reduce 2347 to:
% 41.67/13.01  																																									| (177)  ~ (e4 = e3)
% 41.67/13.01  																																									|
% 41.67/13.01  																																									+-Applying beta-rule and splitting (132), into two cases.
% 41.67/13.01  																																									|-Branch one:
% 41.67/13.01  																																									| (750) all_0_90_90 = e1
% 41.67/13.01  																																									|
% 41.67/13.01  																																										| Equations (750) can reduce 103 to:
% 41.67/13.01  																																										| (1669)  ~ (all_0_91_91 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Simplifying 1669 yields:
% 41.67/13.01  																																										| (959)  ~ (all_0_91_91 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Equations (750) can reduce 72 to:
% 41.67/13.01  																																										| (2131)  ~ (all_0_92_92 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Simplifying 2131 yields:
% 41.67/13.01  																																										| (840)  ~ (all_0_92_92 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Equations (750) can reduce 229 to:
% 41.67/13.01  																																										| (679)  ~ (all_0_95_95 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Simplifying 679 yields:
% 41.67/13.01  																																										| (680)  ~ (all_0_95_95 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Equations (750) can reduce 467 to:
% 41.67/13.01  																																										| (681)  ~ (e4 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Simplifying 681 yields:
% 41.67/13.01  																																										| (256)  ~ (e4 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Equations (750) can reduce 294 to:
% 41.67/13.01  																																										| (487)  ~ (e2 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										| Simplifying 487 yields:
% 41.67/13.01  																																										| (243)  ~ (e2 = e1)
% 41.67/13.01  																																										|
% 41.67/13.01  																																										+-Applying beta-rule and splitting (176), into two cases.
% 41.67/13.01  																																										|-Branch one:
% 41.67/13.01  																																										| (785) all_0_95_95 = e1
% 41.67/13.01  																																										|
% 41.67/13.01  																																											| Equations (785) can reduce 680 to:
% 41.67/13.01  																																											| (311) $false
% 41.67/13.01  																																											|
% 41.67/13.01  																																											|-The branch is then unsatisfiable
% 41.67/13.01  																																										|-Branch two:
% 41.67/13.01  																																										| (680)  ~ (all_0_95_95 = e1)
% 41.67/13.01  																																										| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.67/13.01  																																										|
% 41.67/13.01  																																											+-Applying beta-rule and splitting (151), into two cases.
% 41.67/13.01  																																											|-Branch one:
% 41.67/13.01  																																											| (824) all_0_80_80 = e1
% 41.67/13.01  																																											|
% 41.67/13.01  																																												| Combining equations (824,433) yields a new equation:
% 41.67/13.01  																																												| (814) e4 = e1
% 41.67/13.01  																																												|
% 41.67/13.01  																																												| Equations (814) can reduce 256 to:
% 41.67/13.01  																																												| (311) $false
% 41.67/13.01  																																												|
% 41.67/13.01  																																												|-The branch is then unsatisfiable
% 41.67/13.01  																																											|-Branch two:
% 41.67/13.01  																																											| (828)  ~ (all_0_80_80 = e1)
% 41.67/13.01  																																											| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.67/13.01  																																											|
% 41.67/13.01  																																												+-Applying beta-rule and splitting (788), into two cases.
% 41.67/13.01  																																												|-Branch one:
% 41.67/13.01  																																												| (960) all_0_96_96 = e1
% 41.67/13.01  																																												|
% 41.67/13.01  																																													| Equations (960) can reduce 1479 to:
% 41.67/13.01  																																													| (311) $false
% 41.67/13.01  																																													|
% 41.67/13.01  																																													|-The branch is then unsatisfiable
% 41.67/13.01  																																												|-Branch two:
% 41.67/13.01  																																												| (1479)  ~ (all_0_96_96 = e1)
% 41.67/13.01  																																												| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 41.67/13.01  																																												|
% 41.67/13.01  																																													+-Applying beta-rule and splitting (829), into two cases.
% 41.67/13.01  																																													|-Branch one:
% 41.67/13.01  																																													| (482) all_0_87_87 = e1
% 41.67/13.01  																																													|
% 41.67/13.01  																																														| Equations (482) can reduce 124 to:
% 41.67/13.01  																																														| (259)  ~ (all_0_84_84 = e1)
% 41.67/13.01  																																														|
% 41.67/13.01  																																														| Equations (482) can reduce 349 to:
% 41.67/13.01  																																														| (487)  ~ (e2 = e1)
% 41.67/13.01  																																														|
% 41.67/13.01  																																														| Simplifying 487 yields:
% 41.67/13.01  																																														| (243)  ~ (e2 = e1)
% 41.67/13.01  																																														|
% 41.67/13.01  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 41.67/13.01  																																														|-Branch one:
% 41.67/13.01  																																														| (542) all_0_97_97 = e1
% 41.67/13.01  																																														|
% 41.67/13.01  																																															| Combining equations (538,542) yields a new equation:
% 41.67/13.01  																																															| (408) e2 = e1
% 41.67/13.01  																																															|
% 41.67/13.01  																																															| Simplifying 408 yields:
% 41.67/13.01  																																															| (385) e2 = e1
% 41.67/13.01  																																															|
% 41.67/13.01  																																															| Equations (385) can reduce 243 to:
% 41.67/13.01  																																															| (311) $false
% 41.67/13.01  																																															|
% 41.67/13.01  																																															|-The branch is then unsatisfiable
% 41.67/13.01  																																														|-Branch two:
% 41.67/13.01  																																														| (486)  ~ (all_0_97_97 = e1)
% 41.67/13.01  																																														| (1543) all_0_98_98 = e1
% 41.67/13.01  																																														|
% 41.67/13.01  																																															| Equations (1543) can reduce 75 to:
% 41.67/13.01  																																															| (128)  ~ (all_0_85_85 = e1)
% 41.67/13.01  																																															|
% 41.67/13.01  																																															| Equations (1543) can reduce 31 to:
% 41.67/13.01  																																															| (479)  ~ (all_0_88_88 = e1)
% 41.67/13.01  																																															|
% 41.67/13.01  																																															+-Applying beta-rule and splitting (270), into two cases.
% 41.67/13.01  																																															|-Branch one:
% 41.67/13.01  																																															| (744) all_0_95_95 = e3
% 41.67/13.01  																																															|
% 41.67/13.01  																																																| Equations (744) can reduce 765 to:
% 41.67/13.01  																																																| (311) $false
% 41.67/13.01  																																																|
% 41.67/13.01  																																																|-The branch is then unsatisfiable
% 41.67/13.01  																																															|-Branch two:
% 41.67/13.01  																																															| (765)  ~ (all_0_95_95 = e3)
% 41.67/13.01  																																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.67/13.01  																																															|
% 41.67/13.01  																																																+-Applying beta-rule and splitting (373), into two cases.
% 41.67/13.01  																																																|-Branch one:
% 41.67/13.01  																																																| (504) all_0_88_88 = e1
% 41.67/13.01  																																																|
% 41.67/13.01  																																																	| Equations (504) can reduce 479 to:
% 41.67/13.01  																																																	| (311) $false
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																	|-The branch is then unsatisfiable
% 41.67/13.01  																																																|-Branch two:
% 41.67/13.01  																																																| (479)  ~ (all_0_88_88 = e1)
% 41.67/13.01  																																																| (507) all_0_88_88 = e0
% 41.67/13.01  																																																|
% 41.67/13.01  																																																	| Equations (507) can reduce 78 to:
% 41.67/13.01  																																																	| (800)  ~ (all_0_85_85 = e0)
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																	| Equations (507) can reduce 351 to:
% 41.67/13.01  																																																	| (510)  ~ (e2 = e0)
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																	| Simplifying 510 yields:
% 41.67/13.01  																																																	| (76)  ~ (e2 = e0)
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																	| From (507) and (230) follows:
% 41.67/13.01  																																																	| (2170) op(e2, e0) = e0
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																	+-Applying beta-rule and splitting (182), into two cases.
% 41.67/13.01  																																																	|-Branch one:
% 41.67/13.01  																																																	| (512) all_0_85_85 = e2
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																		| Equations (512) can reduce 515 to:
% 41.67/13.01  																																																		| (311) $false
% 41.67/13.01  																																																		|
% 41.67/13.01  																																																		|-The branch is then unsatisfiable
% 41.67/13.01  																																																	|-Branch two:
% 41.67/13.01  																																																	| (515)  ~ (all_0_85_85 = e2)
% 41.67/13.01  																																																	| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 41.67/13.01  																																																	|
% 41.67/13.01  																																																		+-Applying beta-rule and splitting (766), into two cases.
% 41.67/13.01  																																																		|-Branch one:
% 41.67/13.01  																																																		| (778) all_0_96_96 = e3
% 41.67/13.01  																																																		|
% 41.67/13.01  																																																			| Equations (778) can reduce 279 to:
% 41.67/13.01  																																																			| (765)  ~ (all_0_95_95 = e3)
% 41.67/13.01  																																																			|
% 41.67/13.01  																																																			+-Applying beta-rule and splitting (725), into two cases.
% 41.67/13.01  																																																			|-Branch one:
% 41.67/13.01  																																																			| (804) all_0_85_85 = e3
% 41.67/13.01  																																																			|
% 41.67/13.01  																																																				| Equations (804) can reduce 154 to:
% 41.67/13.01  																																																				| (422)  ~ (all_0_84_84 = e3)
% 41.67/13.01  																																																				|
% 41.67/13.01  																																																				+-Applying beta-rule and splitting (92), into two cases.
% 41.67/13.01  																																																				|-Branch one:
% 41.67/13.01  																																																				| (552) all_0_84_84 = e2
% 41.67/13.01  																																																				|
% 41.67/13.01  																																																					| Equations (552) can reduce 612 to:
% 41.67/13.01  																																																					| (311) $false
% 41.67/13.01  																																																					|
% 41.67/13.01  																																																					|-The branch is then unsatisfiable
% 41.67/13.01  																																																				|-Branch two:
% 41.67/13.01  																																																				| (612)  ~ (all_0_84_84 = e2)
% 41.67/13.01  																																																				| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 41.67/13.01  																																																				|
% 41.67/13.01  																																																					+-Applying beta-rule and splitting (617), into two cases.
% 41.67/13.01  																																																					|-Branch one:
% 41.67/13.01  																																																					| (1265) all_0_84_84 = e3
% 41.67/13.01  																																																					|
% 41.67/13.01  																																																						| Equations (1265) can reduce 422 to:
% 41.67/13.01  																																																						| (311) $false
% 41.67/13.01  																																																						|
% 41.67/13.01  																																																						|-The branch is then unsatisfiable
% 41.67/13.01  																																																					|-Branch two:
% 41.67/13.01  																																																					| (422)  ~ (all_0_84_84 = e3)
% 41.67/13.01  																																																					| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 41.67/13.01  																																																					|
% 41.67/13.01  																																																						+-Applying beta-rule and splitting (915), into two cases.
% 41.67/13.01  																																																						|-Branch one:
% 41.67/13.01  																																																						| (378) all_0_86_86 = e0
% 41.67/13.01  																																																						|
% 41.67/13.01  																																																							| Combining equations (345,378) yields a new equation:
% 41.67/13.01  																																																							| (923) e2 = e0
% 41.67/13.01  																																																							|
% 41.67/13.01  																																																							| Simplifying 923 yields:
% 41.67/13.01  																																																							| (379) e2 = e0
% 41.67/13.01  																																																							|
% 41.67/13.01  																																																							| Equations (379) can reduce 76 to:
% 41.67/13.01  																																																							| (311) $false
% 41.67/13.01  																																																							|
% 41.67/13.01  																																																							|-The branch is then unsatisfiable
% 41.67/13.01  																																																						|-Branch two:
% 41.67/13.01  																																																						| (381)  ~ (all_0_86_86 = e0)
% 41.67/13.01  																																																						| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.67/13.01  																																																						|
% 41.67/13.01  																																																							+-Applying beta-rule and splitting (1268), into two cases.
% 41.67/13.01  																																																							|-Branch one:
% 41.67/13.01  																																																							| (916) all_0_84_84 = e0
% 41.67/13.01  																																																							|
% 41.67/13.01  																																																								| Equations (916) can reduce 259 to:
% 41.67/13.01  																																																								| (859)  ~ (e1 = e0)
% 41.67/13.01  																																																								|
% 41.67/13.01  																																																								| Simplifying 859 yields:
% 41.67/13.01  																																																								| (264)  ~ (e1 = e0)
% 41.67/13.01  																																																								|
% 41.67/13.01  																																																								+-Applying beta-rule and splitting (291), into two cases.
% 41.67/13.01  																																																								|-Branch one:
% 41.67/13.01  																																																								| (758) all_0_90_90 = e0
% 41.67/13.01  																																																								|
% 41.67/13.01  																																																									| Combining equations (750,758) yields a new equation:
% 41.67/13.01  																																																									| (1107) e1 = e0
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																									| Simplifying 1107 yields:
% 41.67/13.01  																																																									| (865) e1 = e0
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																									| Equations (865) can reduce 264 to:
% 41.67/13.01  																																																									| (311) $false
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																									|-The branch is then unsatisfiable
% 41.67/13.01  																																																								|-Branch two:
% 41.67/13.01  																																																								| (762)  ~ (all_0_90_90 = e0)
% 41.67/13.01  																																																								| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.67/13.01  																																																								|
% 41.67/13.01  																																																									| Equations (750) can reduce 762 to:
% 41.67/13.01  																																																									| (264)  ~ (e1 = e0)
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																									+-Applying beta-rule and splitting (927), into two cases.
% 41.67/13.01  																																																									|-Branch one:
% 41.67/13.01  																																																									| (758) all_0_90_90 = e0
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																										| Combining equations (750,758) yields a new equation:
% 41.67/13.01  																																																										| (1107) e1 = e0
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																										| Simplifying 1107 yields:
% 41.67/13.01  																																																										| (865) e1 = e0
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																										| Equations (865) can reduce 264 to:
% 41.67/13.01  																																																										| (311) $false
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																										|-The branch is then unsatisfiable
% 41.67/13.01  																																																									|-Branch two:
% 41.67/13.01  																																																									| (762)  ~ (all_0_90_90 = e0)
% 41.67/13.01  																																																									| (858) all_0_95_95 = e0
% 41.67/13.01  																																																									|
% 41.67/13.01  																																																										| Equations (858) can reduce 765 to:
% 41.67/13.01  																																																										| (906)  ~ (e3 = e0)
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																										| Simplifying 906 yields:
% 41.67/13.01  																																																										| (50)  ~ (e3 = e0)
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																										+-Applying beta-rule and splitting (1400), into two cases.
% 41.67/13.01  																																																										|-Branch one:
% 41.67/13.01  																																																										| (1456) all_0_91_91 = e0
% 41.67/13.01  																																																										|
% 41.67/13.01  																																																											| Equations (1456) can reduce 959 to:
% 41.67/13.01  																																																											| (859)  ~ (e1 = e0)
% 41.67/13.01  																																																											|
% 41.67/13.01  																																																											| Simplifying 859 yields:
% 41.67/13.01  																																																											| (264)  ~ (e1 = e0)
% 41.67/13.01  																																																											|
% 41.67/13.01  																																																											| From (1456) and (1703) follows:
% 41.67/13.01  																																																											| (2305) op(e2, e0) = e1
% 41.67/13.01  																																																											|
% 41.67/13.01  																																																											| Instantiating formula (262) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 41.67/13.01  																																																											| (865) e1 = e0
% 41.67/13.01  																																																											|
% 41.67/13.01  																																																											| Equations (865) can reduce 264 to:
% 41.67/13.01  																																																											| (311) $false
% 41.67/13.01  																																																											|
% 41.67/13.01  																																																											|-The branch is then unsatisfiable
% 41.67/13.01  																																																										|-Branch two:
% 41.67/13.01  																																																										| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.02  																																																										| (1837) all_0_96_96 = e0
% 41.67/13.02  																																																										|
% 41.67/13.02  																																																											| Combining equations (778,1837) yields a new equation:
% 41.67/13.02  																																																											| (599) e3 = e0
% 41.67/13.02  																																																											|
% 41.67/13.02  																																																											| Simplifying 599 yields:
% 41.67/13.02  																																																											| (600) e3 = e0
% 41.67/13.02  																																																											|
% 41.67/13.02  																																																											| Equations (600) can reduce 50 to:
% 41.67/13.02  																																																											| (311) $false
% 41.67/13.02  																																																											|
% 41.67/13.02  																																																											|-The branch is then unsatisfiable
% 41.67/13.02  																																																							|-Branch two:
% 41.67/13.02  																																																							| (919)  ~ (all_0_84_84 = e0)
% 41.67/13.02  																																																							| (438) all_0_84_84 = e4
% 41.67/13.02  																																																							|
% 41.67/13.02  																																																								| Equations (438) can reduce 417 to:
% 41.67/13.02  																																																								| (311) $false
% 41.67/13.02  																																																								|
% 41.67/13.02  																																																								|-The branch is then unsatisfiable
% 41.67/13.02  																																																			|-Branch two:
% 41.67/13.02  																																																			| (952)  ~ (all_0_85_85 = e3)
% 41.67/13.02  																																																			| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				+-Applying beta-rule and splitting (953), into two cases.
% 41.67/13.02  																																																				|-Branch one:
% 41.67/13.02  																																																				| (954) all_0_85_85 = e0
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (954) can reduce 800 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																				|-Branch two:
% 41.67/13.02  																																																				| (800)  ~ (all_0_85_85 = e0)
% 41.67/13.02  																																																				| (493) all_0_85_85 = e4
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (493) can reduce 648 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																		|-Branch two:
% 41.67/13.02  																																																		| (964)  ~ (all_0_96_96 = e3)
% 41.67/13.02  																																																		| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																			+-Applying beta-rule and splitting (725), into two cases.
% 41.67/13.02  																																																			|-Branch one:
% 41.67/13.02  																																																			| (804) all_0_85_85 = e3
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				| Equations (804) can reduce 515 to:
% 41.67/13.02  																																																				| (169)  ~ (e3 = e2)
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																				| Equations (804) can reduce 128 to:
% 41.67/13.02  																																																				| (20)  ~ (e3 = e1)
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																				+-Applying beta-rule and splitting (965), into two cases.
% 41.67/13.02  																																																				|-Branch one:
% 41.67/13.02  																																																				| (556) all_0_97_97 = e3
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Combining equations (538,556) yields a new equation:
% 41.67/13.02  																																																					| (548) e3 = e2
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					| Equations (548) can reduce 169 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																				|-Branch two:
% 41.67/13.02  																																																				| (428)  ~ (all_0_97_97 = e3)
% 41.67/13.02  																																																				| (969) all_0_98_98 = e3
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Combining equations (969,1543) yields a new equation:
% 41.67/13.02  																																																					| (825) e3 = e1
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					| Simplifying 825 yields:
% 41.67/13.02  																																																					| (772) e3 = e1
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					| Equations (772) can reduce 20 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																			|-Branch two:
% 41.67/13.02  																																																			| (952)  ~ (all_0_85_85 = e3)
% 41.67/13.02  																																																			| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				+-Applying beta-rule and splitting (953), into two cases.
% 41.67/13.02  																																																				|-Branch one:
% 41.67/13.02  																																																				| (954) all_0_85_85 = e0
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (954) can reduce 800 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																				|-Branch two:
% 41.67/13.02  																																																				| (800)  ~ (all_0_85_85 = e0)
% 41.67/13.02  																																																				| (493) all_0_85_85 = e4
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (493) can reduce 648 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																													|-Branch two:
% 41.67/13.02  																																													| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.02  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.67/13.02  																																													|
% 41.67/13.02  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 41.67/13.02  																																														|-Branch one:
% 41.67/13.02  																																														| (542) all_0_97_97 = e1
% 41.67/13.02  																																														|
% 41.67/13.02  																																															| Combining equations (538,542) yields a new equation:
% 41.67/13.02  																																															| (408) e2 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Simplifying 408 yields:
% 41.67/13.02  																																															| (385) e2 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Equations (385) can reduce 243 to:
% 41.67/13.02  																																															| (311) $false
% 41.67/13.02  																																															|
% 41.67/13.02  																																															|-The branch is then unsatisfiable
% 41.67/13.02  																																														|-Branch two:
% 41.67/13.02  																																														| (486)  ~ (all_0_97_97 = e1)
% 41.67/13.02  																																														| (1543) all_0_98_98 = e1
% 41.67/13.02  																																														|
% 41.67/13.02  																																															| Equations (1543) can reduce 1349 to:
% 41.67/13.02  																																															| (487)  ~ (e2 = e1)
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Simplifying 487 yields:
% 41.67/13.02  																																															| (243)  ~ (e2 = e1)
% 41.67/13.02  																																															|
% 41.67/13.02  																																															+-Applying beta-rule and splitting (835), into two cases.
% 41.67/13.02  																																															|-Branch one:
% 41.67/13.02  																																															| (836) all_0_92_92 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																																| Equations (836) can reduce 840 to:
% 41.67/13.02  																																																| (311) $false
% 41.67/13.02  																																																|
% 41.67/13.02  																																																|-The branch is then unsatisfiable
% 41.67/13.02  																																															|-Branch two:
% 41.67/13.02  																																															| (840)  ~ (all_0_92_92 = e1)
% 41.67/13.02  																																															| (542) all_0_97_97 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																																| Combining equations (542,538) yields a new equation:
% 41.67/13.02  																																																| (385) e2 = e1
% 41.67/13.02  																																																|
% 41.67/13.02  																																																| Equations (385) can reduce 243 to:
% 41.67/13.02  																																																| (311) $false
% 41.67/13.02  																																																|
% 41.67/13.02  																																																|-The branch is then unsatisfiable
% 41.67/13.02  																																									|-Branch two:
% 41.67/13.02  																																									| (678)  ~ (all_0_90_90 = e1)
% 41.67/13.02  																																									| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.67/13.02  																																									|
% 41.67/13.02  																																										+-Applying beta-rule and splitting (1526), into two cases.
% 41.67/13.02  																																										|-Branch one:
% 41.67/13.02  																																										| (801) all_0_91_91 = e1
% 41.67/13.02  																																										|
% 41.67/13.02  																																											| Equations (801) can reduce 959 to:
% 41.67/13.02  																																											| (311) $false
% 41.67/13.02  																																											|
% 41.67/13.02  																																											|-The branch is then unsatisfiable
% 41.67/13.02  																																										|-Branch two:
% 41.67/13.02  																																										| (959)  ~ (all_0_91_91 = e1)
% 41.67/13.02  																																										| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.67/13.02  																																										|
% 41.67/13.02  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 41.67/13.02  																																											|-Branch one:
% 41.67/13.02  																																											| (836) all_0_92_92 = e1
% 41.67/13.02  																																											|
% 41.67/13.02  																																												| Equations (836) can reduce 94 to:
% 41.67/13.02  																																												| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.02  																																												|
% 41.67/13.02  																																												+-Applying beta-rule and splitting (388), into two cases.
% 41.67/13.02  																																												|-Branch one:
% 41.67/13.02  																																												| (482) all_0_87_87 = e1
% 41.67/13.02  																																												|
% 41.67/13.02  																																													| Equations (482) can reduce 625 to:
% 41.67/13.02  																																													| (311) $false
% 41.67/13.02  																																													|
% 41.67/13.02  																																													|-The branch is then unsatisfiable
% 41.67/13.02  																																												|-Branch two:
% 41.67/13.02  																																												| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.02  																																												| (504) all_0_88_88 = e1
% 41.67/13.02  																																												|
% 41.67/13.02  																																													| Equations (504) can reduce 191 to:
% 41.67/13.02  																																													| (683)  ~ (e3 = e1)
% 41.67/13.02  																																													|
% 41.67/13.02  																																													| Simplifying 683 yields:
% 41.67/13.02  																																													| (20)  ~ (e3 = e1)
% 41.67/13.02  																																													|
% 41.67/13.02  																																													+-Applying beta-rule and splitting (849), into two cases.
% 41.67/13.02  																																													|-Branch one:
% 41.67/13.02  																																													| (588) all_0_91_91 = e3
% 41.67/13.02  																																													|
% 41.67/13.02  																																														| From (588) and (1703) follows:
% 41.67/13.02  																																														| (1844) op(e2, e3) = e1
% 41.67/13.02  																																														|
% 41.67/13.02  																																														+-Applying beta-rule and splitting (176), into two cases.
% 41.67/13.02  																																														|-Branch one:
% 41.67/13.02  																																														| (785) all_0_95_95 = e1
% 41.67/13.02  																																														|
% 41.67/13.02  																																															| Equations (785) can reduce 355 to:
% 41.67/13.02  																																															| (487)  ~ (e2 = e1)
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Simplifying 487 yields:
% 41.67/13.02  																																															| (243)  ~ (e2 = e1)
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.67/13.02  																																															| (385) e2 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Equations (385) can reduce 243 to:
% 41.67/13.02  																																															| (311) $false
% 41.67/13.02  																																															|
% 41.67/13.02  																																															|-The branch is then unsatisfiable
% 41.67/13.02  																																														|-Branch two:
% 41.67/13.02  																																														| (680)  ~ (all_0_95_95 = e1)
% 41.67/13.02  																																														| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 41.67/13.02  																																														|
% 41.67/13.02  																																															+-Applying beta-rule and splitting (270), into two cases.
% 41.67/13.02  																																															|-Branch one:
% 41.67/13.02  																																															| (744) all_0_95_95 = e3
% 41.67/13.02  																																															|
% 41.67/13.02  																																																| Equations (744) can reduce 765 to:
% 41.67/13.02  																																																| (311) $false
% 41.67/13.02  																																																|
% 41.67/13.02  																																																|-The branch is then unsatisfiable
% 41.67/13.02  																																															|-Branch two:
% 41.67/13.02  																																															| (765)  ~ (all_0_95_95 = e3)
% 41.67/13.02  																																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 41.67/13.02  																																															|
% 41.67/13.02  																																																+-Applying beta-rule and splitting (291), into two cases.
% 41.67/13.02  																																																|-Branch one:
% 41.67/13.02  																																																| (758) all_0_90_90 = e0
% 41.67/13.02  																																																|
% 41.67/13.02  																																																	| Equations (758) can reduce 229 to:
% 41.67/13.02  																																																	| (2712)  ~ (all_0_95_95 = e0)
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																	| Simplifying 2712 yields:
% 41.67/13.02  																																																	| (893)  ~ (all_0_95_95 = e0)
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																	+-Applying beta-rule and splitting (99), into two cases.
% 41.67/13.02  																																																	|-Branch one:
% 41.67/13.02  																																																	| (767) all_0_95_95 = e2
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																		| Equations (767) can reduce 355 to:
% 41.67/13.02  																																																		| (311) $false
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		|-The branch is then unsatisfiable
% 41.67/13.02  																																																	|-Branch two:
% 41.67/13.02  																																																	| (355)  ~ (all_0_95_95 = e2)
% 41.67/13.02  																																																	| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																		+-Applying beta-rule and splitting (770), into two cases.
% 41.67/13.02  																																																		|-Branch one:
% 41.67/13.02  																																																		| (785) all_0_95_95 = e1
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																			| Equations (785) can reduce 680 to:
% 41.67/13.02  																																																			| (311) $false
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																			|-The branch is then unsatisfiable
% 41.67/13.02  																																																		|-Branch two:
% 41.67/13.02  																																																		| (680)  ~ (all_0_95_95 = e1)
% 41.67/13.02  																																																		| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																			+-Applying beta-rule and splitting (853), into two cases.
% 41.67/13.02  																																																			|-Branch one:
% 41.67/13.02  																																																			| (744) all_0_95_95 = e3
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				| Equations (744) can reduce 765 to:
% 41.67/13.02  																																																				| (311) $false
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																				|-The branch is then unsatisfiable
% 41.67/13.02  																																																			|-Branch two:
% 41.67/13.02  																																																			| (765)  ~ (all_0_95_95 = e3)
% 41.67/13.02  																																																			| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				+-Applying beta-rule and splitting (857), into two cases.
% 41.67/13.02  																																																				|-Branch one:
% 41.67/13.02  																																																				| (858) all_0_95_95 = e0
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (858) can reduce 893 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																				|-Branch two:
% 41.67/13.02  																																																				| (893)  ~ (all_0_95_95 = e0)
% 41.67/13.02  																																																				| (894) all_0_95_95 = e4
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																					| Equations (894) can reduce 315 to:
% 41.67/13.02  																																																					| (311) $false
% 41.67/13.02  																																																					|
% 41.67/13.02  																																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																																|-Branch two:
% 41.67/13.02  																																																| (762)  ~ (all_0_90_90 = e0)
% 41.67/13.02  																																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.67/13.02  																																																|
% 41.67/13.02  																																																	+-Applying beta-rule and splitting (1400), into two cases.
% 41.67/13.02  																																																	|-Branch one:
% 41.67/13.02  																																																	| (1456) all_0_91_91 = e0
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																		| Combining equations (588,1456) yields a new equation:
% 41.67/13.02  																																																		| (599) e3 = e0
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		| Simplifying 599 yields:
% 41.67/13.02  																																																		| (600) e3 = e0
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		| Equations (600) can reduce 50 to:
% 41.67/13.02  																																																		| (311) $false
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		|-The branch is then unsatisfiable
% 41.67/13.02  																																																	|-Branch two:
% 41.67/13.02  																																																	| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.02  																																																	| (1837) all_0_96_96 = e0
% 41.67/13.02  																																																	|
% 41.67/13.02  																																																		| Equations (1837) can reduce 279 to:
% 41.67/13.02  																																																		| (893)  ~ (all_0_95_95 = e0)
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		| Equations (1837) can reduce 1638 to:
% 41.67/13.02  																																																		| (510)  ~ (e2 = e0)
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		| Simplifying 510 yields:
% 41.67/13.02  																																																		| (76)  ~ (e2 = e0)
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																		+-Applying beta-rule and splitting (915), into two cases.
% 41.67/13.02  																																																		|-Branch one:
% 41.67/13.02  																																																		| (378) all_0_86_86 = e0
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																			| Combining equations (345,378) yields a new equation:
% 41.67/13.02  																																																			| (923) e2 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																			| Simplifying 923 yields:
% 41.67/13.02  																																																			| (379) e2 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																			| Equations (379) can reduce 76 to:
% 41.67/13.02  																																																			| (311) $false
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																			|-The branch is then unsatisfiable
% 41.67/13.02  																																																		|-Branch two:
% 41.67/13.02  																																																		| (381)  ~ (all_0_86_86 = e0)
% 41.67/13.02  																																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 41.67/13.02  																																																		|
% 41.67/13.02  																																																			+-Applying beta-rule and splitting (927), into two cases.
% 41.67/13.02  																																																			|-Branch one:
% 41.67/13.02  																																																			| (758) all_0_90_90 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				| Equations (758) can reduce 762 to:
% 41.67/13.02  																																																				| (311) $false
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																				|-The branch is then unsatisfiable
% 41.67/13.02  																																																			|-Branch two:
% 41.67/13.02  																																																			| (762)  ~ (all_0_90_90 = e0)
% 41.67/13.02  																																																			| (858) all_0_95_95 = e0
% 41.67/13.02  																																																			|
% 41.67/13.02  																																																				| Equations (858) can reduce 893 to:
% 41.67/13.02  																																																				| (311) $false
% 41.67/13.02  																																																				|
% 41.67/13.02  																																																				|-The branch is then unsatisfiable
% 41.67/13.02  																																													|-Branch two:
% 41.67/13.02  																																													| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.02  																																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.67/13.02  																																													|
% 41.67/13.02  																																														+-Applying beta-rule and splitting (881), into two cases.
% 41.67/13.02  																																														|-Branch one:
% 41.67/13.02  																																														| (882) all_0_92_92 = e3
% 41.67/13.02  																																														|
% 41.67/13.02  																																															| Combining equations (882,836) yields a new equation:
% 41.67/13.02  																																															| (825) e3 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Simplifying 825 yields:
% 41.67/13.02  																																															| (772) e3 = e1
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Equations (772) can reduce 20 to:
% 41.67/13.02  																																															| (311) $false
% 41.67/13.02  																																															|
% 41.67/13.02  																																															|-The branch is then unsatisfiable
% 41.67/13.02  																																														|-Branch two:
% 41.67/13.02  																																														| (426)  ~ (all_0_92_92 = e3)
% 41.67/13.02  																																														| (570) all_0_93_93 = e3
% 41.67/13.02  																																														|
% 41.67/13.02  																																															| Combining equations (570,607) yields a new equation:
% 41.67/13.02  																																															| (434) e4 = e3
% 41.67/13.02  																																															|
% 41.67/13.02  																																															| Equations (434) can reduce 177 to:
% 41.67/13.02  																																															| (311) $false
% 41.67/13.02  																																															|
% 41.67/13.02  																																															|-The branch is then unsatisfiable
% 41.67/13.02  																																											|-Branch two:
% 41.67/13.02  																																											| (840)  ~ (all_0_92_92 = e1)
% 41.67/13.02  																																											| (566) all_0_93_93 = e1
% 41.67/13.02  																																											|
% 41.67/13.02  																																												| Combining equations (607,566) yields a new equation:
% 41.67/13.02  																																												| (813) e4 = e1
% 41.67/13.02  																																												|
% 41.67/13.02  																																												| Simplifying 813 yields:
% 41.67/13.02  																																												| (814) e4 = e1
% 41.67/13.02  																																												|
% 41.67/13.02  																																												| Equations (814) can reduce 256 to:
% 41.67/13.02  																																												| (311) $false
% 41.67/13.02  																																												|
% 41.67/13.02  																																												|-The branch is then unsatisfiable
% 41.67/13.02  																																				|-Branch two:
% 41.67/13.02  																																				| (496)  ~ (all_0_93_93 = e4)
% 41.67/13.02  																																				| (2650) all_0_98_98 = e4
% 41.67/13.02  																																				|
% 41.67/13.02  																																					| Equations (2650) can reduce 321 to:
% 41.67/13.02  																																					| (311) $false
% 41.67/13.02  																																					|
% 41.67/13.02  																																					|-The branch is then unsatisfiable
% 41.67/13.02  																																	|-Branch two:
% 41.67/13.02  																																	| (465)  ~ (all_0_82_82 = e4)
% 41.67/13.02  																																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 41.67/13.02  																																	|
% 41.67/13.02  																																		+-Applying beta-rule and splitting (4), into two cases.
% 41.67/13.02  																																		|-Branch one:
% 41.67/13.02  																																		| (463) all_0_78_78 = e4
% 41.67/13.02  																																		|
% 41.67/13.02  																																			| Combining equations (771,463) yields a new equation:
% 41.67/13.02  																																			| (434) e4 = e3
% 41.67/13.02  																																			|
% 41.67/13.02  																																			| Equations (434) can reduce 177 to:
% 41.67/13.02  																																			| (311) $false
% 41.67/13.02  																																			|
% 41.67/13.02  																																			|-The branch is then unsatisfiable
% 41.67/13.02  																																		|-Branch two:
% 41.67/13.02  																																		| (640)  ~ (all_0_78_78 = e4)
% 41.67/13.03  																																		| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 41.67/13.03  																																		|
% 41.67/13.03  																																			+-Applying beta-rule and splitting (10), into two cases.
% 41.67/13.03  																																			|-Branch one:
% 41.67/13.03  																																			| (530) all_0_82_82 = e2
% 41.67/13.03  																																			|
% 41.67/13.03  																																				| Equations (530) can reduce 347 to:
% 41.67/13.03  																																				| (311) $false
% 41.67/13.03  																																				|
% 41.67/13.03  																																				|-The branch is then unsatisfiable
% 41.67/13.03  																																			|-Branch two:
% 41.67/13.03  																																			| (347)  ~ (all_0_82_82 = e2)
% 41.67/13.03  																																			| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 41.67/13.03  																																			|
% 41.67/13.03  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 41.67/13.03  																																				|-Branch one:
% 41.67/13.03  																																				| (469) all_0_82_82 = e4
% 41.67/13.03  																																				|
% 41.67/13.03  																																					| Equations (469) can reduce 465 to:
% 41.67/13.03  																																					| (311) $false
% 41.67/13.03  																																					|
% 41.67/13.03  																																					|-The branch is then unsatisfiable
% 41.67/13.03  																																				|-Branch two:
% 41.67/13.03  																																				| (465)  ~ (all_0_82_82 = e4)
% 41.67/13.03  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 41.67/13.03  																																				|
% 41.67/13.03  																																					+-Applying beta-rule and splitting (3629), into two cases.
% 41.67/13.03  																																					|-Branch one:
% 41.67/13.03  																																					| (583) all_0_90_90 = e4
% 41.67/13.03  																																					|
% 41.67/13.03  																																						| Equations (583) can reduce 103 to:
% 41.67/13.03  																																						| (3634)  ~ (all_0_91_91 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Simplifying 3634 yields:
% 41.67/13.03  																																						| (133)  ~ (all_0_91_91 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Equations (583) can reduce 34 to:
% 41.67/13.03  																																						| (495)  ~ (all_0_93_93 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Simplifying 495 yields:
% 41.67/13.03  																																						| (496)  ~ (all_0_93_93 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Equations (583) can reduce 229 to:
% 41.67/13.03  																																						| (314)  ~ (all_0_95_95 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Simplifying 314 yields:
% 41.67/13.03  																																						| (315)  ~ (all_0_95_95 = e4)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Equations (583) can reduce 745 to:
% 41.67/13.03  																																						| (177)  ~ (e4 = e3)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| Equations (583) can reduce 294 to:
% 41.67/13.03  																																						| (79)  ~ (e4 = e2)
% 41.67/13.03  																																						|
% 41.67/13.03  																																						| From (583) and (218) follows:
% 41.67/13.03  																																						| (4391) op(e1, e3) = e4
% 41.67/13.03  																																						|
% 41.67/13.03  																																						+-Applying beta-rule and splitting (168), into two cases.
% 41.67/13.03  																																						|-Branch one:
% 41.67/13.03  																																						| (638) all_0_81_81 = e4
% 41.67/13.03  																																						|
% 41.67/13.03  																																							| Combining equations (638,473) yields a new equation:
% 41.67/13.03  																																							| (309) e4 = e2
% 41.67/13.03  																																							|
% 41.67/13.03  																																							| Simplifying 309 yields:
% 41.67/13.03  																																							| (310) e4 = e2
% 41.67/13.03  																																							|
% 41.67/13.03  																																							| Equations (310) can reduce 79 to:
% 41.67/13.03  																																							| (311) $false
% 41.67/13.03  																																							|
% 41.67/13.03  																																							|-The branch is then unsatisfiable
% 41.67/13.03  																																						|-Branch two:
% 41.67/13.03  																																						| (634)  ~ (all_0_81_81 = e4)
% 41.67/13.03  																																						| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 41.67/13.03  																																						|
% 41.67/13.03  																																							+-Applying beta-rule and splitting (2559), into two cases.
% 41.67/13.03  																																							|-Branch one:
% 41.67/13.03  																																							| (493) all_0_85_85 = e4
% 41.67/13.03  																																							|
% 41.67/13.03  																																								| Equations (493) can reduce 209 to:
% 41.67/13.03  																																								| (465)  ~ (all_0_82_82 = e4)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| Equations (493) can reduce 154 to:
% 41.67/13.03  																																								| (417)  ~ (all_0_84_84 = e4)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| Equations (493) can reduce 201 to:
% 41.67/13.03  																																								| (495)  ~ (all_0_93_93 = e4)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| Simplifying 495 yields:
% 41.67/13.03  																																								| (496)  ~ (all_0_93_93 = e4)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| Equations (493) can reduce 515 to:
% 41.67/13.03  																																								| (79)  ~ (e4 = e2)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| Equations (493) can reduce 128 to:
% 41.67/13.03  																																								| (256)  ~ (e4 = e1)
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| From (493) and (197) follows:
% 41.67/13.03  																																								| (4405) op(e3, e4) = all_0_72_72
% 41.67/13.03  																																								|
% 41.67/13.03  																																								| From (493) and (8) follows:
% 41.67/13.03  																																								| (4406) op(e3, e0) = e4
% 41.67/13.03  																																								|
% 41.67/13.03  																																								+-Applying beta-rule and splitting (171), into two cases.
% 41.67/13.03  																																								|-Branch one:
% 41.67/13.03  																																								| (789) all_0_82_82 = e3
% 41.67/13.03  																																								|
% 41.67/13.03  																																									| Equations (789) can reduce 793 to:
% 41.67/13.03  																																									| (311) $false
% 41.67/13.03  																																									|
% 41.67/13.03  																																									|-The branch is then unsatisfiable
% 41.67/13.03  																																								|-Branch two:
% 41.67/13.03  																																								| (793)  ~ (all_0_82_82 = e3)
% 41.67/13.03  																																								| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 41.67/13.03  																																								|
% 41.67/13.03  																																									+-Applying beta-rule and splitting (1718), into two cases.
% 41.67/13.03  																																									|-Branch one:
% 41.67/13.03  																																									| (384) all_0_86_86 = e1
% 41.67/13.03  																																									|
% 41.67/13.03  																																										| Combining equations (345,384) yields a new equation:
% 41.67/13.03  																																										| (408) e2 = e1
% 41.67/13.03  																																										|
% 41.67/13.03  																																										| Simplifying 408 yields:
% 41.67/13.03  																																										| (385) e2 = e1
% 41.67/13.03  																																										|
% 41.67/13.03  																																										| Equations (385) can reduce 243 to:
% 41.67/13.03  																																										| (311) $false
% 41.67/13.03  																																										|
% 41.67/13.03  																																										|-The branch is then unsatisfiable
% 41.67/13.03  																																									|-Branch two:
% 41.67/13.03  																																									| (387)  ~ (all_0_86_86 = e1)
% 41.67/13.03  																																									| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 41.67/13.03  																																									|
% 41.67/13.03  																																										+-Applying beta-rule and splitting (2205), into two cases.
% 41.67/13.03  																																										|-Branch one:
% 41.67/13.03  																																										| (789) all_0_82_82 = e3
% 41.67/13.03  																																										|
% 41.67/13.03  																																											| Equations (789) can reduce 793 to:
% 41.67/13.03  																																											| (311) $false
% 41.67/13.03  																																											|
% 41.67/13.03  																																											|-The branch is then unsatisfiable
% 41.67/13.03  																																										|-Branch two:
% 41.67/13.03  																																										| (793)  ~ (all_0_82_82 = e3)
% 41.67/13.03  																																										| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 41.67/13.03  																																										|
% 41.67/13.03  																																											+-Applying beta-rule and splitting (2122), into two cases.
% 41.67/13.03  																																											|-Branch one:
% 41.67/13.03  																																											| (750) all_0_90_90 = e1
% 41.67/13.03  																																											|
% 41.67/13.03  																																												| Combining equations (583,750) yields a new equation:
% 41.67/13.03  																																												| (813) e4 = e1
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Simplifying 813 yields:
% 41.67/13.03  																																												| (814) e4 = e1
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Equations (814) can reduce 256 to:
% 41.67/13.03  																																												| (311) $false
% 41.67/13.03  																																												|
% 41.67/13.03  																																												|-The branch is then unsatisfiable
% 41.67/13.03  																																											|-Branch two:
% 41.67/13.03  																																											| (678)  ~ (all_0_90_90 = e1)
% 41.67/13.03  																																											| (785) all_0_95_95 = e1
% 41.67/13.03  																																											|
% 41.67/13.03  																																												| Equations (785) can reduce 200 to:
% 41.67/13.03  																																												| (198)  ~ (all_0_82_82 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Equations (785) can reduce 279 to:
% 41.67/13.03  																																												| (1671)  ~ (all_0_96_96 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Simplifying 1671 yields:
% 41.67/13.03  																																												| (1479)  ~ (all_0_96_96 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Equations (785) can reduce 107 to:
% 41.67/13.03  																																												| (1803)  ~ (all_0_98_98 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Simplifying 1803 yields:
% 41.67/13.03  																																												| (1804)  ~ (all_0_98_98 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Equations (785) can reduce 315 to:
% 41.67/13.03  																																												| (681)  ~ (e4 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Simplifying 681 yields:
% 41.67/13.03  																																												| (256)  ~ (e4 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Equations (785) can reduce 355 to:
% 41.67/13.03  																																												| (487)  ~ (e2 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| Simplifying 487 yields:
% 41.67/13.03  																																												| (243)  ~ (e2 = e1)
% 41.67/13.03  																																												|
% 41.67/13.03  																																												| From (785) and (275) follows:
% 41.67/13.03  																																												| (1511) op(e0, e3) = e1
% 41.67/13.03  																																												|
% 41.67/13.03  																																												+-Applying beta-rule and splitting (2706), into two cases.
% 41.67/13.03  																																												|-Branch one:
% 41.67/13.03  																																												| (910) all_0_82_82 = e0
% 41.67/13.03  																																												|
% 41.67/13.03  																																													| Equations (910) can reduce 7 to:
% 41.67/13.03  																																													| (2207)  ~ (all_0_84_84 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| Simplifying 2207 yields:
% 41.67/13.03  																																													| (919)  ~ (all_0_84_84 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| Equations (910) can reduce 465 to:
% 41.67/13.03  																																													| (904)  ~ (e4 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| Simplifying 904 yields:
% 41.67/13.03  																																													| (23)  ~ (e4 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| Equations (910) can reduce 198 to:
% 41.67/13.03  																																													| (859)  ~ (e1 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| Simplifying 859 yields:
% 41.67/13.03  																																													| (264)  ~ (e1 = e0)
% 41.67/13.03  																																													|
% 41.67/13.03  																																													| From (910) and (61) follows:
% 41.67/13.03  																																													| (979) op(e3, e3) = e0
% 41.67/13.03  																																													|
% 41.67/13.03  																																													+-Applying beta-rule and splitting (92), into two cases.
% 41.67/13.03  																																													|-Branch one:
% 41.67/13.03  																																													| (552) all_0_84_84 = e2
% 41.67/13.03  																																													|
% 41.67/13.03  																																														| Equations (552) can reduce 612 to:
% 41.67/13.03  																																														| (311) $false
% 41.67/13.03  																																														|
% 41.67/13.03  																																														|-The branch is then unsatisfiable
% 41.67/13.03  																																													|-Branch two:
% 41.67/13.03  																																													| (612)  ~ (all_0_84_84 = e2)
% 41.67/13.03  																																													| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 41.67/13.03  																																													|
% 41.67/13.03  																																														+-Applying beta-rule and splitting (617), into two cases.
% 41.67/13.03  																																														|-Branch one:
% 41.67/13.03  																																														| (1265) all_0_84_84 = e3
% 41.67/13.03  																																														|
% 41.67/13.03  																																															| Equations (1265) can reduce 87 to:
% 41.67/13.03  																																															| (425)  ~ (all_0_92_92 = e3)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Simplifying 425 yields:
% 41.67/13.03  																																															| (426)  ~ (all_0_92_92 = e3)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Equations (1265) can reduce 417 to:
% 41.67/13.03  																																															| (783)  ~ (e4 = e3)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Simplifying 783 yields:
% 41.67/13.03  																																															| (177)  ~ (e4 = e3)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Equations (1265) can reduce 612 to:
% 41.67/13.03  																																															| (169)  ~ (e3 = e2)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Equations (1265) can reduce 259 to:
% 41.67/13.03  																																															| (20)  ~ (e3 = e1)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Equations (1265) can reduce 919 to:
% 41.67/13.03  																																															| (50)  ~ (e3 = e0)
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| From (1265) and (150) follows:
% 41.67/13.03  																																															| (4457) op(e3, e3) = all_0_63_63
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| From (1265) and (122) follows:
% 41.67/13.03  																																															| (3507) op(e1, e3) = all_0_62_62
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Instantiating formula (262) with e3, e4, all_0_72_72, e1 and discharging atoms op(e3, e4) = all_0_72_72, op(e3, e4) = e1, yields:
% 41.67/13.03  																																															| (845) all_0_72_72 = e1
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Instantiating formula (262) with e3, e3, e0, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e0, yields:
% 41.67/13.03  																																															| (4460) all_0_63_63 = e0
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| Instantiating formula (262) with e1, e3, e4, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e4, yields:
% 41.67/13.03  																																															| (4461) all_0_62_62 = e4
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| From (845) and (4405) follows:
% 41.67/13.03  																																															| (225) op(e3, e4) = e1
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| From (4460) and (4457) follows:
% 41.67/13.03  																																															| (979) op(e3, e3) = e0
% 41.67/13.03  																																															|
% 41.67/13.03  																																															| From (4461) and (3507) follows:
% 41.67/13.03  																																															| (4391) op(e1, e3) = e4
% 41.67/13.03  																																															|
% 41.67/13.03  																																															+-Applying beta-rule and splitting (276), into two cases.
% 41.67/13.03  																																															|-Branch one:
% 41.67/13.03  																																															| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 41.67/13.03  																																															|
% 41.67/13.03  																																																+-Applying beta-rule and splitting (577), into two cases.
% 41.67/13.03  																																																|-Branch one:
% 41.67/13.03  																																																| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 41.67/13.03  																																																|
% 41.67/13.03  																																																	+-Applying beta-rule and splitting (578), into two cases.
% 41.67/13.03  																																																	|-Branch one:
% 41.67/13.03  																																																	| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 41.67/13.03  																																																	|
% 41.67/13.03  																																																		| Applying alpha-rule on (579) yields:
% 41.67/13.03  																																																		| (580) all_0_60_60 = e4
% 41.67/13.03  																																																		| (581)  ~ (all_0_61_61 = e1)
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Combining equations (580,4076) yields a new equation:
% 41.67/13.03  																																																		| (309) e4 = e2
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Simplifying 309 yields:
% 41.67/13.03  																																																		| (310) e4 = e2
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Equations (310) can reduce 79 to:
% 41.67/13.03  																																																		| (311) $false
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		|-The branch is then unsatisfiable
% 41.67/13.03  																																																	|-Branch two:
% 41.67/13.03  																																																	| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 41.67/13.03  																																																	|
% 41.67/13.03  																																																		| Applying alpha-rule on (585) yields:
% 41.67/13.03  																																																		| (586) all_0_62_62 = e3
% 41.67/13.03  																																																		| (587)  ~ (all_0_63_63 = e1)
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Combining equations (4461,586) yields a new equation:
% 41.67/13.03  																																																		| (790) e4 = e3
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Simplifying 790 yields:
% 41.67/13.03  																																																		| (434) e4 = e3
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		| Equations (434) can reduce 177 to:
% 41.67/13.03  																																																		| (311) $false
% 41.67/13.03  																																																		|
% 41.67/13.03  																																																		|-The branch is then unsatisfiable
% 41.67/13.03  																																																|-Branch two:
% 41.67/13.03  																																																| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 41.67/13.03  																																																|
% 41.67/13.03  																																																	| Applying alpha-rule on (590) yields:
% 41.67/13.03  																																																	| (591) all_0_64_64 = e2
% 41.67/13.03  																																																	| (592)  ~ (all_0_65_65 = e1)
% 41.67/13.03  																																																	|
% 41.67/13.03  																																																	| From (591) and (16) follows:
% 41.67/13.03  																																																	| (4482) op(e1, all_0_87_87) = e2
% 41.67/13.04  																																																	|
% 41.67/13.04  																																																	+-Applying beta-rule and splitting (250), into two cases.
% 41.67/13.04  																																																	|-Branch one:
% 41.67/13.04  																																																	| (635) all_0_81_81 = e3
% 41.67/13.04  																																																	|
% 41.67/13.04  																																																		| Combining equations (635,473) yields a new equation:
% 41.67/13.04  																																																		| (547) e3 = e2
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																		| Simplifying 547 yields:
% 41.67/13.04  																																																		| (548) e3 = e2
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																		| Equations (548) can reduce 169 to:
% 41.67/13.04  																																																		| (311) $false
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																		|-The branch is then unsatisfiable
% 41.67/13.04  																																																	|-Branch two:
% 41.67/13.04  																																																	| (420)  ~ (all_0_81_81 = e3)
% 41.67/13.04  																																																	| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 41.67/13.04  																																																	|
% 41.67/13.04  																																																		| Equations (473) can reduce 420 to:
% 41.67/13.04  																																																		| (356)  ~ (e3 = e2)
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																		| Simplifying 356 yields:
% 41.67/13.04  																																																		| (169)  ~ (e3 = e2)
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																		+-Applying beta-rule and splitting (102), into two cases.
% 41.67/13.04  																																																		|-Branch one:
% 41.67/13.04  																																																		| (858) all_0_95_95 = e0
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																			| Combining equations (858,785) yields a new equation:
% 41.67/13.04  																																																			| (865) e1 = e0
% 41.67/13.04  																																																			|
% 41.67/13.04  																																																			| Equations (865) can reduce 264 to:
% 41.67/13.04  																																																			| (311) $false
% 41.67/13.04  																																																			|
% 41.67/13.04  																																																			|-The branch is then unsatisfiable
% 41.67/13.04  																																																		|-Branch two:
% 41.67/13.04  																																																		| (893)  ~ (all_0_95_95 = e0)
% 41.67/13.04  																																																		| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.67/13.04  																																																		|
% 41.67/13.04  																																																			+-Applying beta-rule and splitting (289), into two cases.
% 41.67/13.04  																																																			|-Branch one:
% 41.67/13.04  																																																			| (954) all_0_85_85 = e0
% 41.67/13.04  																																																			|
% 41.67/13.04  																																																				| Combining equations (493,954) yields a new equation:
% 41.67/13.04  																																																				| (911) e4 = e0
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																				| Simplifying 911 yields:
% 41.67/13.04  																																																				| (912) e4 = e0
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																				| Equations (912) can reduce 23 to:
% 41.67/13.04  																																																				| (311) $false
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																				|-The branch is then unsatisfiable
% 41.67/13.04  																																																			|-Branch two:
% 41.67/13.04  																																																			| (800)  ~ (all_0_85_85 = e0)
% 41.67/13.04  																																																			| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 41.67/13.04  																																																			|
% 41.67/13.04  																																																				| Equations (493) can reduce 800 to:
% 41.67/13.04  																																																				| (23)  ~ (e4 = e0)
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																				+-Applying beta-rule and splitting (291), into two cases.
% 41.67/13.04  																																																				|-Branch one:
% 41.67/13.04  																																																				| (758) all_0_90_90 = e0
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																					| Combining equations (583,758) yields a new equation:
% 41.67/13.04  																																																					| (911) e4 = e0
% 41.67/13.04  																																																					|
% 41.67/13.04  																																																					| Simplifying 911 yields:
% 41.67/13.04  																																																					| (912) e4 = e0
% 41.67/13.04  																																																					|
% 41.67/13.04  																																																					| Equations (912) can reduce 23 to:
% 41.67/13.04  																																																					| (311) $false
% 41.67/13.04  																																																					|
% 41.67/13.04  																																																					|-The branch is then unsatisfiable
% 41.67/13.04  																																																				|-Branch two:
% 41.67/13.04  																																																				| (762)  ~ (all_0_90_90 = e0)
% 41.67/13.04  																																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 41.67/13.04  																																																				|
% 41.67/13.04  																																																					+-Applying beta-rule and splitting (65), into two cases.
% 41.67/13.04  																																																					|-Branch one:
% 41.67/13.04  																																																					| (522) all_0_93_93 = e2
% 41.67/13.04  																																																					|
% 41.67/13.04  																																																						| Equations (522) can reduce 300 to:
% 41.67/13.04  																																																						| (311) $false
% 41.67/13.04  																																																						|
% 41.67/13.04  																																																						|-The branch is then unsatisfiable
% 41.67/13.04  																																																					|-Branch two:
% 41.67/13.04  																																																					| (300)  ~ (all_0_93_93 = e2)
% 41.67/13.04  																																																					| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 41.67/13.04  																																																					|
% 41.67/13.04  																																																						+-Applying beta-rule and splitting (373), into two cases.
% 41.67/13.04  																																																						|-Branch one:
% 41.67/13.04  																																																						| (504) all_0_88_88 = e1
% 41.67/13.04  																																																						|
% 41.67/13.04  																																																							| Equations (504) can reduce 181 to:
% 41.67/13.04  																																																							| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							+-Applying beta-rule and splitting (377), into two cases.
% 41.67/13.04  																																																							|-Branch one:
% 41.67/13.04  																																																							| (482) all_0_87_87 = e1
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																								| Equations (482) can reduce 625 to:
% 41.67/13.04  																																																								| (311) $false
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								|-The branch is then unsatisfiable
% 41.67/13.04  																																																							|-Branch two:
% 41.67/13.04  																																																							| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.04  																																																							| (861) all_0_87_87 = e0
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																								| From (861) and (4482) follows:
% 41.67/13.04  																																																								| (4519) op(e1, e0) = e2
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								| Instantiating formula (262) with e1, e0, e2, all_0_93_93 and discharging atoms op(e1, e0) = all_0_93_93, op(e1, e0) = e2, yields:
% 41.67/13.04  																																																								| (522) all_0_93_93 = e2
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								| Equations (522) can reduce 300 to:
% 41.67/13.04  																																																								| (311) $false
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								|-The branch is then unsatisfiable
% 41.67/13.04  																																																						|-Branch two:
% 41.67/13.04  																																																						| (479)  ~ (all_0_88_88 = e1)
% 41.67/13.04  																																																						| (507) all_0_88_88 = e0
% 41.67/13.04  																																																						|
% 41.67/13.04  																																																							| Equations (507) can reduce 181 to:
% 41.67/13.04  																																																							| (889)  ~ (all_0_87_87 = e0)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							| Equations (507) can reduce 286 to:
% 41.67/13.04  																																																							| (508)  ~ (all_0_93_93 = e0)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							| Simplifying 508 yields:
% 41.67/13.04  																																																							| (509)  ~ (all_0_93_93 = e0)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							| Equations (507) can reduce 31 to:
% 41.67/13.04  																																																							| (2058)  ~ (all_0_98_98 = e0)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							| Simplifying 2058 yields:
% 41.67/13.04  																																																							| (2059)  ~ (all_0_98_98 = e0)
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																							+-Applying beta-rule and splitting (377), into two cases.
% 41.67/13.04  																																																							|-Branch one:
% 41.67/13.04  																																																							| (482) all_0_87_87 = e1
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																								| From (482) and (4482) follows:
% 41.67/13.04  																																																								| (4530) op(e1, e1) = e2
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								+-Applying beta-rule and splitting (1921), into two cases.
% 41.67/13.04  																																																								|-Branch one:
% 41.67/13.04  																																																								| (1837) all_0_96_96 = e0
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																									| Equations (1837) can reduce 64 to:
% 41.67/13.04  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.04  																																																									|
% 41.67/13.04  																																																									+-Applying beta-rule and splitting (1712), into two cases.
% 41.67/13.04  																																																									|-Branch one:
% 41.67/13.04  																																																									| (795) all_0_83_83 = e3
% 41.67/13.04  																																																									|
% 41.67/13.04  																																																										| Combining equations (795,453) yields a new equation:
% 41.67/13.04  																																																										| (547) e3 = e2
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										| Simplifying 547 yields:
% 41.67/13.04  																																																										| (548) e3 = e2
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										| Equations (548) can reduce 169 to:
% 41.67/13.04  																																																										| (311) $false
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										|-The branch is then unsatisfiable
% 41.67/13.04  																																																									|-Branch two:
% 41.67/13.04  																																																									| (779)  ~ (all_0_83_83 = e3)
% 41.67/13.04  																																																									| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 41.67/13.04  																																																									|
% 41.67/13.04  																																																										+-Applying beta-rule and splitting (1455), into two cases.
% 41.67/13.04  																																																										|-Branch one:
% 41.67/13.04  																																																										| (1456) all_0_91_91 = e0
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																											| Equations (1456) can reduce 1487 to:
% 41.67/13.04  																																																											| (311) $false
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																											|-The branch is then unsatisfiable
% 41.67/13.04  																																																										|-Branch two:
% 41.67/13.04  																																																										| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.04  																																																										| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																											+-Applying beta-rule and splitting (1488), into two cases.
% 41.67/13.04  																																																											|-Branch one:
% 41.67/13.04  																																																											| (942) all_0_92_92 = e0
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																												| Equations (942) can reduce 283 to:
% 41.67/13.04  																																																												| (508)  ~ (all_0_93_93 = e0)
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												| Simplifying 508 yields:
% 41.67/13.04  																																																												| (509)  ~ (all_0_93_93 = e0)
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												| Equations (942) can reduce 426 to:
% 41.67/13.04  																																																												| (906)  ~ (e3 = e0)
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												| Simplifying 906 yields:
% 41.67/13.04  																																																												| (50)  ~ (e3 = e0)
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												| From (942) and (135) follows:
% 41.67/13.04  																																																												| (4548) op(e1, e1) = e0
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												+-Applying beta-rule and splitting (1842), into two cases.
% 41.67/13.04  																																																												|-Branch one:
% 41.67/13.04  																																																												| (588) all_0_91_91 = e3
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																													| Equations (588) can reduce 44 to:
% 41.67/13.04  																																																													| (807)  ~ (all_0_93_93 = e3)
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													| Simplifying 807 yields:
% 41.67/13.04  																																																													| (602)  ~ (all_0_93_93 = e3)
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													| Equations (588) can reduce 133 to:
% 41.67/13.04  																																																													| (783)  ~ (e4 = e3)
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													| Simplifying 783 yields:
% 41.67/13.04  																																																													| (177)  ~ (e4 = e3)
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													| From (588) and (1703) follows:
% 41.67/13.04  																																																													| (1844) op(e2, e3) = e1
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													+-Applying beta-rule and splitting (4488), into two cases.
% 41.67/13.04  																																																													|-Branch one:
% 41.67/13.04  																																																													| (804) all_0_85_85 = e3
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																														| Combining equations (804,493) yields a new equation:
% 41.67/13.04  																																																														| (434) e4 = e3
% 41.67/13.04  																																																														|
% 41.67/13.04  																																																														| Equations (434) can reduce 177 to:
% 41.67/13.04  																																																														| (311) $false
% 41.67/13.04  																																																														|
% 41.67/13.04  																																																														|-The branch is then unsatisfiable
% 41.67/13.04  																																																													|-Branch two:
% 41.67/13.04  																																																													| (952)  ~ (all_0_85_85 = e3)
% 41.67/13.04  																																																													| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																														+-Applying beta-rule and splitting (565), into two cases.
% 41.67/13.04  																																																														|-Branch one:
% 41.67/13.04  																																																														| (566) all_0_93_93 = e1
% 41.67/13.04  																																																														|
% 41.67/13.04  																																																															| Equations (566) can reduce 509 to:
% 41.67/13.04  																																																															| (264)  ~ (e1 = e0)
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																															| Instantiating formula (262) with e2, e3, e1, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 41.67/13.04  																																																															| (385) e2 = e1
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																															| Instantiating formula (262) with e1, e1, e0, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e0, yields:
% 41.67/13.04  																																																															| (379) e2 = e0
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																															| Combining equations (379,385) yields a new equation:
% 41.67/13.04  																																																															| (865) e1 = e0
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																															| Equations (865) can reduce 264 to:
% 41.67/13.04  																																																															| (311) $false
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																															|-The branch is then unsatisfiable
% 41.67/13.04  																																																														|-Branch two:
% 41.67/13.04  																																																														| (481)  ~ (all_0_93_93 = e1)
% 41.67/13.04  																																																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 41.67/13.04  																																																														|
% 41.67/13.04  																																																															+-Applying beta-rule and splitting (4559), into two cases.
% 41.67/13.04  																																																															|-Branch one:
% 41.67/13.04  																																																															| (570) all_0_93_93 = e3
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																																| Equations (570) can reduce 602 to:
% 41.67/13.04  																																																																| (311) $false
% 41.67/13.04  																																																																|
% 41.67/13.04  																																																																|-The branch is then unsatisfiable
% 41.67/13.04  																																																															|-Branch two:
% 41.67/13.04  																																																															| (602)  ~ (all_0_93_93 = e3)
% 41.67/13.04  																																																															| (969) all_0_98_98 = e3
% 41.67/13.04  																																																															|
% 41.67/13.04  																																																																| Equations (969) can reduce 13 to:
% 41.67/13.04  																																																																| (602)  ~ (all_0_93_93 = e3)
% 41.67/13.04  																																																																|
% 41.67/13.04  																																																																+-Applying beta-rule and splitting (569), into two cases.
% 41.67/13.04  																																																																|-Branch one:
% 41.67/13.04  																																																																| (570) all_0_93_93 = e3
% 41.67/13.04  																																																																|
% 41.67/13.04  																																																																	| Equations (570) can reduce 602 to:
% 41.67/13.04  																																																																	| (311) $false
% 41.67/13.04  																																																																	|
% 41.67/13.04  																																																																	|-The branch is then unsatisfiable
% 41.67/13.04  																																																																|-Branch two:
% 41.67/13.04  																																																																| (602)  ~ (all_0_93_93 = e3)
% 41.67/13.04  																																																																| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 41.67/13.04  																																																																|
% 41.67/13.04  																																																																	+-Applying beta-rule and splitting (603), into two cases.
% 41.67/13.04  																																																																	|-Branch one:
% 41.67/13.04  																																																																	| (604) all_0_93_93 = e0
% 41.67/13.04  																																																																	|
% 41.67/13.04  																																																																		| Equations (604) can reduce 509 to:
% 41.67/13.04  																																																																		| (311) $false
% 41.67/13.04  																																																																		|
% 41.67/13.04  																																																																		|-The branch is then unsatisfiable
% 41.67/13.04  																																																																	|-Branch two:
% 41.67/13.04  																																																																	| (509)  ~ (all_0_93_93 = e0)
% 41.67/13.04  																																																																	| (607) all_0_93_93 = e4
% 41.67/13.04  																																																																	|
% 41.67/13.04  																																																																		| Equations (607) can reduce 496 to:
% 41.67/13.04  																																																																		| (311) $false
% 41.67/13.04  																																																																		|
% 41.67/13.04  																																																																		|-The branch is then unsatisfiable
% 41.67/13.04  																																																												|-Branch two:
% 41.67/13.04  																																																												| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.04  																																																												| (778) all_0_96_96 = e3
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																													| Combining equations (1837,778) yields a new equation:
% 41.67/13.04  																																																													| (600) e3 = e0
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													| Equations (600) can reduce 50 to:
% 41.67/13.04  																																																													| (311) $false
% 41.67/13.04  																																																													|
% 41.67/13.04  																																																													|-The branch is then unsatisfiable
% 41.67/13.04  																																																											|-Branch two:
% 41.67/13.04  																																																											| (946)  ~ (all_0_92_92 = e0)
% 41.67/13.04  																																																											| (604) all_0_93_93 = e0
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																												| Equations (604) can reduce 509 to:
% 41.67/13.04  																																																												| (311) $false
% 41.67/13.04  																																																												|
% 41.67/13.04  																																																												|-The branch is then unsatisfiable
% 41.67/13.04  																																																								|-Branch two:
% 41.67/13.04  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 41.67/13.04  																																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																									+-Applying beta-rule and splitting (1400), into two cases.
% 41.67/13.04  																																																									|-Branch one:
% 41.67/13.04  																																																									| (1456) all_0_91_91 = e0
% 41.67/13.04  																																																									|
% 41.67/13.04  																																																										| Equations (1456) can reduce 296 to:
% 41.67/13.04  																																																										| (510)  ~ (e2 = e0)
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										| Simplifying 510 yields:
% 41.67/13.04  																																																										| (76)  ~ (e2 = e0)
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										+-Applying beta-rule and splitting (2096), into two cases.
% 41.67/13.04  																																																										|-Branch one:
% 41.67/13.04  																																																										| (560) all_0_97_97 = e0
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																											| Combining equations (538,560) yields a new equation:
% 41.67/13.04  																																																											| (923) e2 = e0
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																											| Simplifying 923 yields:
% 41.67/13.04  																																																											| (379) e2 = e0
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																											| Equations (379) can reduce 76 to:
% 41.67/13.04  																																																											| (311) $false
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																											|-The branch is then unsatisfiable
% 41.67/13.04  																																																										|-Branch two:
% 41.67/13.04  																																																										| (609)  ~ (all_0_97_97 = e0)
% 41.67/13.04  																																																										| (1121) all_0_98_98 = e0
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																											| Equations (1121) can reduce 2059 to:
% 41.67/13.04  																																																											| (311) $false
% 41.67/13.04  																																																											|
% 41.67/13.04  																																																											|-The branch is then unsatisfiable
% 41.67/13.04  																																																									|-Branch two:
% 41.67/13.04  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.04  																																																									| (1837) all_0_96_96 = e0
% 41.67/13.04  																																																									|
% 41.67/13.04  																																																										| Equations (1837) can reduce 2095 to:
% 41.67/13.04  																																																										| (311) $false
% 41.67/13.04  																																																										|
% 41.67/13.04  																																																										|-The branch is then unsatisfiable
% 41.67/13.04  																																																							|-Branch two:
% 41.67/13.04  																																																							| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.04  																																																							| (861) all_0_87_87 = e0
% 41.67/13.04  																																																							|
% 41.67/13.04  																																																								| Equations (861) can reduce 889 to:
% 41.67/13.04  																																																								| (311) $false
% 41.67/13.04  																																																								|
% 41.67/13.04  																																																								|-The branch is then unsatisfiable
% 41.67/13.04  																																															|-Branch two:
% 41.67/13.04  																																															| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 41.67/13.04  																																															|
% 41.67/13.04  																																																| Applying alpha-rule on (596) yields:
% 41.67/13.05  																																																| (597) all_0_67_67 = e0
% 41.67/13.05  																																																| (598)  ~ (all_0_68_68 = e1)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Combining equations (4077,597) yields a new equation:
% 41.67/13.05  																																																| (4610) all_0_91_91 = e0
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Simplifying 4610 yields:
% 41.67/13.05  																																																| (1456) all_0_91_91 = e0
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Equations (1368) can reduce 598 to:
% 41.67/13.05  																																																| (1479)  ~ (all_0_96_96 = e1)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Equations (1456) can reduce 64 to:
% 41.67/13.05  																																																| (2296)  ~ (all_0_96_96 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Simplifying 2296 yields:
% 41.67/13.05  																																																| (2095)  ~ (all_0_96_96 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Equations (1456) can reduce 296 to:
% 41.67/13.05  																																																| (510)  ~ (e2 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Simplifying 510 yields:
% 41.67/13.05  																																																| (76)  ~ (e2 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Equations (1456) can reduce 959 to:
% 41.67/13.05  																																																| (859)  ~ (e1 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| Simplifying 859 yields:
% 41.67/13.05  																																																| (264)  ~ (e1 = e0)
% 41.67/13.05  																																																|
% 41.67/13.05  																																																| From (1456) and (51) follows:
% 41.67/13.05  																																																| (3461) op(e1, e0) = all_0_57_57
% 41.67/13.05  																																																|
% 41.67/13.05  																																																+-Applying beta-rule and splitting (2), into two cases.
% 41.67/13.05  																																																|-Branch one:
% 41.67/13.05  																																																| (916) all_0_84_84 = e0
% 41.67/13.05  																																																|
% 41.67/13.05  																																																	| Combining equations (1265,916) yields a new equation:
% 41.67/13.05  																																																	| (599) e3 = e0
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																	| Simplifying 599 yields:
% 41.67/13.05  																																																	| (600) e3 = e0
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																	| Equations (600) can reduce 50 to:
% 41.67/13.05  																																																	| (311) $false
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																	|-The branch is then unsatisfiable
% 41.67/13.05  																																																|-Branch two:
% 41.67/13.05  																																																| (919)  ~ (all_0_84_84 = e0)
% 41.67/13.05  																																																| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.67/13.05  																																																|
% 41.67/13.05  																																																	| Equations (1265) can reduce 919 to:
% 41.67/13.05  																																																	| (50)  ~ (e3 = e0)
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																	+-Applying beta-rule and splitting (102), into two cases.
% 41.67/13.05  																																																	|-Branch one:
% 41.67/13.05  																																																	| (858) all_0_95_95 = e0
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																		| Combining equations (785,858) yields a new equation:
% 41.67/13.05  																																																		| (1107) e1 = e0
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																		| Simplifying 1107 yields:
% 41.67/13.05  																																																		| (865) e1 = e0
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																		| Equations (865) can reduce 264 to:
% 41.67/13.05  																																																		| (311) $false
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																		|-The branch is then unsatisfiable
% 41.67/13.05  																																																	|-Branch two:
% 41.67/13.05  																																																	| (893)  ~ (all_0_95_95 = e0)
% 41.67/13.05  																																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 41.67/13.05  																																																	|
% 41.67/13.05  																																																		| Equations (785) can reduce 893 to:
% 41.67/13.05  																																																		| (264)  ~ (e1 = e0)
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																		+-Applying beta-rule and splitting (282), into two cases.
% 41.67/13.05  																																																		|-Branch one:
% 41.67/13.05  																																																		| (754) all_0_90_90 = e3
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																			| Combining equations (754,583) yields a new equation:
% 41.67/13.05  																																																			| (434) e4 = e3
% 41.67/13.05  																																																			|
% 41.67/13.05  																																																			| Equations (434) can reduce 177 to:
% 41.67/13.05  																																																			| (311) $false
% 41.67/13.05  																																																			|
% 41.67/13.05  																																																			|-The branch is then unsatisfiable
% 41.67/13.05  																																																		|-Branch two:
% 41.67/13.05  																																																		| (745)  ~ (all_0_90_90 = e3)
% 41.67/13.05  																																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 41.67/13.05  																																																		|
% 41.67/13.05  																																																			+-Applying beta-rule and splitting (849), into two cases.
% 41.67/13.05  																																																			|-Branch one:
% 41.67/13.05  																																																			| (588) all_0_91_91 = e3
% 41.67/13.05  																																																			|
% 41.67/13.05  																																																				| Combining equations (588,1456) yields a new equation:
% 41.67/13.05  																																																				| (599) e3 = e0
% 41.67/13.05  																																																				|
% 41.67/13.05  																																																				| Simplifying 599 yields:
% 41.67/13.05  																																																				| (600) e3 = e0
% 41.67/13.05  																																																				|
% 41.67/13.05  																																																				| Equations (600) can reduce 50 to:
% 41.67/13.05  																																																				| (311) $false
% 41.67/13.05  																																																				|
% 41.67/13.05  																																																				|-The branch is then unsatisfiable
% 41.67/13.05  																																																			|-Branch two:
% 41.67/13.05  																																																			| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.05  																																																			| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 41.67/13.05  																																																			|
% 41.67/13.05  																																																				+-Applying beta-rule and splitting (881), into two cases.
% 41.67/13.05  																																																				|-Branch one:
% 41.67/13.05  																																																				| (882) all_0_92_92 = e3
% 41.67/13.05  																																																				|
% 41.67/13.05  																																																					| Equations (882) can reduce 426 to:
% 41.67/13.05  																																																					| (311) $false
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					|-The branch is then unsatisfiable
% 41.67/13.05  																																																				|-Branch two:
% 41.67/13.05  																																																				| (426)  ~ (all_0_92_92 = e3)
% 41.67/13.05  																																																				| (570) all_0_93_93 = e3
% 41.67/13.05  																																																				|
% 41.67/13.05  																																																					| Equations (570) can reduce 13 to:
% 41.67/13.05  																																																					| (1518)  ~ (all_0_98_98 = e3)
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					| Simplifying 1518 yields:
% 41.67/13.05  																																																					| (1519)  ~ (all_0_98_98 = e3)
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					| Equations (570) can reduce 300 to:
% 41.67/13.05  																																																					| (169)  ~ (e3 = e2)
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					| From (570) and (21) follows:
% 41.67/13.05  																																																					| (4652) op(e1, e3) = all_0_76_76
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					| From (570) and (231) follows:
% 41.67/13.05  																																																					| (573) op(e1, e0) = e3
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					| From (570) and (173) follows:
% 41.67/13.05  																																																					| (4654) op(e0, e3) = all_0_75_75
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																					+-Applying beta-rule and splitting (132), into two cases.
% 41.67/13.05  																																																					|-Branch one:
% 41.67/13.05  																																																					| (750) all_0_90_90 = e1
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																						| Combining equations (583,750) yields a new equation:
% 41.67/13.05  																																																						| (813) e4 = e1
% 41.67/13.05  																																																						|
% 41.67/13.05  																																																						| Simplifying 813 yields:
% 41.67/13.05  																																																						| (814) e4 = e1
% 41.67/13.05  																																																						|
% 41.67/13.05  																																																						| Equations (814) can reduce 256 to:
% 41.67/13.05  																																																						| (311) $false
% 41.67/13.05  																																																						|
% 41.67/13.05  																																																						|-The branch is then unsatisfiable
% 41.67/13.05  																																																					|-Branch two:
% 41.67/13.05  																																																					| (678)  ~ (all_0_90_90 = e1)
% 41.67/13.05  																																																					| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 41.67/13.05  																																																					|
% 41.67/13.05  																																																						+-Applying beta-rule and splitting (1526), into two cases.
% 41.67/13.05  																																																						|-Branch one:
% 41.67/13.05  																																																						| (801) all_0_91_91 = e1
% 41.67/13.05  																																																						|
% 41.67/13.05  																																																							| Combining equations (1456,801) yields a new equation:
% 41.67/13.05  																																																							| (865) e1 = e0
% 41.67/13.05  																																																							|
% 41.67/13.05  																																																							| Equations (865) can reduce 264 to:
% 41.67/13.05  																																																							| (311) $false
% 41.67/13.05  																																																							|
% 41.67/13.05  																																																							|-The branch is then unsatisfiable
% 41.67/13.05  																																																						|-Branch two:
% 41.67/13.05  																																																						| (959)  ~ (all_0_91_91 = e1)
% 41.67/13.05  																																																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 41.67/13.05  																																																						|
% 41.67/13.05  																																																							+-Applying beta-rule and splitting (1556), into two cases.
% 41.67/13.05  																																																							|-Branch one:
% 41.67/13.05  																																																							| (836) all_0_92_92 = e1
% 41.67/13.05  																																																							|
% 41.67/13.05  																																																								| Equations (836) can reduce 94 to:
% 41.67/13.05  																																																								| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.05  																																																								|
% 41.67/13.05  																																																								| Equations (836) can reduce 298 to:
% 41.67/13.05  																																																								| (487)  ~ (e2 = e1)
% 41.67/13.05  																																																								|
% 41.67/13.05  																																																								| Simplifying 487 yields:
% 41.67/13.05  																																																								| (243)  ~ (e2 = e1)
% 41.67/13.05  																																																								|
% 41.67/13.05  																																																								+-Applying beta-rule and splitting (1921), into two cases.
% 41.67/13.05  																																																								|-Branch one:
% 41.67/13.05  																																																								| (1837) all_0_96_96 = e0
% 41.67/13.05  																																																								|
% 41.67/13.05  																																																									| Equations (1837) can reduce 2095 to:
% 41.67/13.05  																																																									| (311) $false
% 41.67/13.05  																																																									|
% 41.67/13.05  																																																									|-The branch is then unsatisfiable
% 41.67/13.05  																																																								|-Branch two:
% 41.67/13.05  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 41.67/13.05  																																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 41.67/13.05  																																																								|
% 41.67/13.05  																																																									+-Applying beta-rule and splitting (1712), into two cases.
% 41.67/13.05  																																																									|-Branch one:
% 41.67/13.05  																																																									| (795) all_0_83_83 = e3
% 41.67/13.05  																																																									|
% 41.67/13.05  																																																										| Combining equations (453,795) yields a new equation:
% 41.67/13.05  																																																										| (548) e3 = e2
% 41.67/13.05  																																																										|
% 41.67/13.05  																																																										| Equations (548) can reduce 169 to:
% 41.67/13.05  																																																										| (311) $false
% 41.67/13.05  																																																										|
% 41.67/13.05  																																																										|-The branch is then unsatisfiable
% 41.67/13.05  																																																									|-Branch two:
% 41.67/13.05  																																																									| (779)  ~ (all_0_83_83 = e3)
% 41.67/13.05  																																																									| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 41.67/13.05  																																																									|
% 41.67/13.05  																																																										+-Applying beta-rule and splitting (2096), into two cases.
% 41.67/13.05  																																																										|-Branch one:
% 41.67/13.05  																																																										| (560) all_0_97_97 = e0
% 41.67/13.05  																																																										|
% 41.67/13.05  																																																											| Combining equations (538,560) yields a new equation:
% 41.67/13.05  																																																											| (923) e2 = e0
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Simplifying 923 yields:
% 41.67/13.05  																																																											| (379) e2 = e0
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Equations (379) can reduce 76 to:
% 41.67/13.05  																																																											| (311) $false
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											|-The branch is then unsatisfiable
% 41.67/13.05  																																																										|-Branch two:
% 41.67/13.05  																																																										| (609)  ~ (all_0_97_97 = e0)
% 41.67/13.05  																																																										| (1121) all_0_98_98 = e0
% 41.67/13.05  																																																										|
% 41.67/13.05  																																																											| Equations (1121) can reduce 1519 to:
% 41.67/13.05  																																																											| (906)  ~ (e3 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Simplifying 906 yields:
% 41.67/13.05  																																																											| (50)  ~ (e3 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Equations (1121) can reduce 1349 to:
% 41.67/13.05  																																																											| (510)  ~ (e2 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Simplifying 510 yields:
% 41.67/13.05  																																																											| (76)  ~ (e2 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Equations (1121) can reduce 1804 to:
% 41.67/13.05  																																																											| (859)  ~ (e1 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											| Simplifying 859 yields:
% 41.67/13.05  																																																											| (264)  ~ (e1 = e0)
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																											+-Applying beta-rule and splitting (1842), into two cases.
% 41.67/13.05  																																																											|-Branch one:
% 41.67/13.05  																																																											| (588) all_0_91_91 = e3
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																												| Combining equations (588,1456) yields a new equation:
% 41.67/13.05  																																																												| (599) e3 = e0
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																												| Simplifying 599 yields:
% 41.67/13.05  																																																												| (600) e3 = e0
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																												| Equations (600) can reduce 50 to:
% 41.67/13.05  																																																												| (311) $false
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																												|-The branch is then unsatisfiable
% 41.67/13.05  																																																											|-Branch two:
% 41.67/13.05  																																																											| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.05  																																																											| (778) all_0_96_96 = e3
% 41.67/13.05  																																																											|
% 41.67/13.05  																																																												| Equations (778) can reduce 1479 to:
% 41.67/13.05  																																																												| (20)  ~ (e3 = e1)
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																												| From (778) and (59) follows:
% 41.67/13.05  																																																												| (4698) op(e0, e2) = e3
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																												+-Applying beta-rule and splitting (108), into two cases.
% 41.67/13.05  																																																												|-Branch one:
% 41.67/13.05  																																																												| (477) all_0_81_81 = e1
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																													| Combining equations (473,477) yields a new equation:
% 41.67/13.05  																																																													| (408) e2 = e1
% 41.67/13.05  																																																													|
% 41.67/13.05  																																																													| Simplifying 408 yields:
% 41.67/13.05  																																																													| (385) e2 = e1
% 41.67/13.05  																																																													|
% 41.67/13.05  																																																													| Equations (385) can reduce 243 to:
% 41.67/13.05  																																																													| (311) $false
% 41.67/13.05  																																																													|
% 41.67/13.05  																																																													|-The branch is then unsatisfiable
% 41.67/13.05  																																																												|-Branch two:
% 41.67/13.05  																																																												| (628)  ~ (all_0_81_81 = e1)
% 41.67/13.05  																																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 41.67/13.05  																																																												|
% 41.67/13.05  																																																													+-Applying beta-rule and splitting (920), into two cases.
% 41.67/13.05  																																																													|-Branch one:
% 41.67/13.05  																																																													| (861) all_0_87_87 = e0
% 41.67/13.05  																																																													|
% 41.67/13.05  																																																														| Equations (861) can reduce 181 to:
% 41.67/13.05  																																																														| (2507)  ~ (all_0_88_88 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| Simplifying 2507 yields:
% 41.67/13.05  																																																														| (1110)  ~ (all_0_88_88 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| Equations (861) can reduce 349 to:
% 41.67/13.05  																																																														| (510)  ~ (e2 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| Simplifying 510 yields:
% 41.67/13.05  																																																														| (76)  ~ (e2 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| Equations (861) can reduce 625 to:
% 41.67/13.05  																																																														| (859)  ~ (e1 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| Simplifying 859 yields:
% 41.67/13.05  																																																														| (264)  ~ (e1 = e0)
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														| From (861) and (16) follows:
% 41.67/13.05  																																																														| (3518) op(e1, e0) = all_0_64_64
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																														+-Applying beta-rule and splitting (817), into two cases.
% 41.67/13.05  																																																														|-Branch one:
% 41.67/13.05  																																																														| (504) all_0_88_88 = e1
% 41.67/13.05  																																																														|
% 41.67/13.05  																																																															| Equations (504) can reduce 351 to:
% 41.67/13.05  																																																															| (487)  ~ (e2 = e1)
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Simplifying 487 yields:
% 41.67/13.05  																																																															| (243)  ~ (e2 = e1)
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Equations (504) can reduce 1110 to:
% 41.67/13.05  																																																															| (264)  ~ (e1 = e0)
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Instantiating formula (262) with e1, e3, all_0_76_76, e4 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e4, yields:
% 41.67/13.05  																																																															| (4717) all_0_76_76 = e4
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_64_64, yields:
% 41.67/13.05  																																																															| (3521) all_0_57_57 = all_0_64_64
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Instantiating formula (262) with e1, e0, e3, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e3, yields:
% 41.67/13.05  																																																															| (3522) all_0_57_57 = e3
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Instantiating formula (262) with e0, e3, all_0_75_75, e1 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = e1, yields:
% 41.67/13.05  																																																															| (1392) all_0_75_75 = e1
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| Combining equations (3522,3521) yields a new equation:
% 41.67/13.05  																																																															| (3524) all_0_64_64 = e3
% 41.67/13.05  																																																															|
% 41.67/13.05  																																																															| From (4717) and (4652) follows:
% 41.67/13.06  																																																															| (4391) op(e1, e3) = e4
% 41.67/13.06  																																																															|
% 41.67/13.06  																																																															| From (3524) and (3518) follows:
% 41.67/13.06  																																																															| (573) op(e1, e0) = e3
% 41.67/13.06  																																																															|
% 41.67/13.06  																																																															| From (1392) and (4654) follows:
% 41.67/13.06  																																																															| (1511) op(e0, e3) = e1
% 41.67/13.06  																																																															|
% 41.67/13.06  																																																															+-Applying beta-rule and splitting (196), into two cases.
% 41.67/13.06  																																																															|-Branch one:
% 41.67/13.06  																																																															| (4725) unit = e2
% 41.67/13.06  																																																															|
% 41.67/13.06  																																																																| From (4725) and (170) follows:
% 41.67/13.06  																																																																| (4726) op(e2, e4) = e4
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| From (4725) and (11) follows:
% 41.67/13.06  																																																																| (4727) op(e4, e2) = e4
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| From (4725) and (269) follows:
% 41.67/13.06  																																																																| (4728) op(e2, e2) = e2
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| From (4725) and (57) follows:
% 41.67/13.06  																																																																| (4729) op(e0, e2) = e0
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Instantiating formula (262) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 41.67/13.06  																																																																| (814) e4 = e1
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 41.67/13.06  																																																																| (434) e4 = e3
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Instantiating formula (262) with e2, e2, e2, e4 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 41.67/13.06  																																																																| (310) e4 = e2
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Instantiating formula (262) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 41.67/13.06  																																																																| (600) e3 = e0
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Combining equations (814,310) yields a new equation:
% 41.67/13.06  																																																																| (385) e2 = e1
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Combining equations (434,310) yields a new equation:
% 41.67/13.06  																																																																| (547) e3 = e2
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Simplifying 547 yields:
% 41.67/13.06  																																																																| (548) e3 = e2
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Combining equations (600,548) yields a new equation:
% 41.67/13.06  																																																																| (379) e2 = e0
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Combining equations (379,385) yields a new equation:
% 41.67/13.06  																																																																| (865) e1 = e0
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																| Equations (865) can reduce 264 to:
% 41.67/13.06  																																																																| (311) $false
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																|-The branch is then unsatisfiable
% 41.67/13.06  																																																															|-Branch two:
% 41.67/13.06  																																																															| (4740)  ~ (unit = e2)
% 41.67/13.06  																																																															| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 41.67/13.06  																																																															|
% 41.67/13.06  																																																																+-Applying beta-rule and splitting (4741), into two cases.
% 41.67/13.06  																																																																|-Branch one:
% 41.67/13.06  																																																																| (4742) unit = e1
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																	| From (4742) and (170) follows:
% 41.67/13.06  																																																																	| (4743) op(e1, e4) = e4
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| From (4742) and (203) follows:
% 41.67/13.06  																																																																	| (4744) op(e1, e3) = e3
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| From (4742) and (288) follows:
% 41.67/13.06  																																																																	| (4745) op(e1, e0) = e0
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 41.67/13.06  																																																																	| (310) e4 = e2
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 41.67/13.06  																																																																	| (434) e4 = e3
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Instantiating formula (262) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields:
% 41.67/13.06  																																																																	| (600) e3 = e0
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Combining equations (434,310) yields a new equation:
% 41.67/13.06  																																																																	| (547) e3 = e2
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Simplifying 547 yields:
% 41.67/13.06  																																																																	| (548) e3 = e2
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Combining equations (548,600) yields a new equation:
% 41.67/13.06  																																																																	| (923) e2 = e0
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Simplifying 923 yields:
% 41.67/13.06  																																																																	| (379) e2 = e0
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	| Equations (379) can reduce 76 to:
% 41.67/13.06  																																																																	| (311) $false
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																	|-The branch is then unsatisfiable
% 41.67/13.06  																																																																|-Branch two:
% 41.67/13.06  																																																																| (4754)  ~ (unit = e1)
% 41.67/13.06  																																																																| (4755) unit = e4 | unit = e3 | unit = e0
% 41.67/13.06  																																																																|
% 41.67/13.06  																																																																	+-Applying beta-rule and splitting (4755), into two cases.
% 41.67/13.06  																																																																	|-Branch one:
% 41.67/13.06  																																																																	| (4756) unit = e3
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																		| From (4756) and (11) follows:
% 41.67/13.06  																																																																		| (4757) op(e4, e3) = e4
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| From (4756) and (271) follows:
% 41.67/13.06  																																																																		| (4758) op(e3, e3) = e3
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| From (4756) and (160) follows:
% 41.67/13.06  																																																																		| (3486) op(e1, e3) = e1
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Instantiating formula (262) with e4, e3, e4, e3 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 41.67/13.06  																																																																		| (434) e4 = e3
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Instantiating formula (262) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields:
% 41.67/13.06  																																																																		| (600) e3 = e0
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Instantiating formula (262) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 41.67/13.06  																																																																		| (814) e4 = e1
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Combining equations (434,814) yields a new equation:
% 41.67/13.06  																																																																		| (825) e3 = e1
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Simplifying 825 yields:
% 41.67/13.06  																																																																		| (772) e3 = e1
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Combining equations (772,600) yields a new equation:
% 41.67/13.06  																																																																		| (1107) e1 = e0
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Simplifying 1107 yields:
% 41.67/13.06  																																																																		| (865) e1 = e0
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		| Equations (865) can reduce 264 to:
% 41.67/13.06  																																																																		| (311) $false
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																		|-The branch is then unsatisfiable
% 41.67/13.06  																																																																	|-Branch two:
% 41.67/13.06  																																																																	| (4768)  ~ (unit = e3)
% 41.67/13.06  																																																																	| (4769) unit = e4 | unit = e0
% 41.67/13.06  																																																																	|
% 41.67/13.06  																																																																		+-Applying beta-rule and splitting (4769), into two cases.
% 41.67/13.06  																																																																		|-Branch one:
% 41.67/13.06  																																																																		| (4770) unit = e0
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																			| From (4770) and (203) follows:
% 41.67/13.06  																																																																			| (1522) op(e0, e3) = e3
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| From (4770) and (11) follows:
% 41.67/13.06  																																																																			| (4772) op(e4, e0) = e4
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| From (4770) and (271) follows:
% 41.67/13.06  																																																																			| (1048) op(e3, e0) = e3
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e4, e0, e4, e2 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e2, yields:
% 41.67/13.06  																																																																			| (310) e4 = e2
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 41.67/13.06  																																																																			| (434) e4 = e3
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 41.67/13.06  																																																																			| (772) e3 = e1
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Combining equations (310,434) yields a new equation:
% 41.67/13.06  																																																																			| (548) e3 = e2
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Combining equations (772,548) yields a new equation:
% 41.67/13.06  																																																																			| (385) e2 = e1
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Equations (385) can reduce 243 to:
% 41.67/13.06  																																																																			| (311) $false
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			|-The branch is then unsatisfiable
% 41.67/13.06  																																																																		|-Branch two:
% 41.67/13.06  																																																																		| (4780)  ~ (unit = e0)
% 41.67/13.06  																																																																		| (4781) unit = e4
% 41.67/13.06  																																																																		|
% 41.67/13.06  																																																																			| From (4781) and (288) follows:
% 41.67/13.06  																																																																			| (4782) op(e4, e0) = e0
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| From (4781) and (271) follows:
% 41.67/13.06  																																																																			| (4783) op(e3, e4) = e3
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| From (4781) and (269) follows:
% 41.67/13.06  																																																																			| (4784) op(e2, e4) = e2
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e4, e0, e0, e2 and discharging atoms op(e4, e0) = e2, op(e4, e0) = e0, yields:
% 41.67/13.06  																																																																			| (379) e2 = e0
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 41.67/13.06  																																																																			| (772) e3 = e1
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Instantiating formula (262) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 41.67/13.06  																																																																			| (548) e3 = e2
% 41.67/13.06  																																																																			|
% 41.67/13.06  																																																																			| Combining equations (772,548) yields a new equation:
% 41.67/13.06  																																																																			| (385) e2 = e1
% 41.67/13.07  																																																																			|
% 41.67/13.07  																																																																			| Combining equations (379,385) yields a new equation:
% 41.67/13.07  																																																																			| (865) e1 = e0
% 41.67/13.07  																																																																			|
% 41.67/13.07  																																																																			| Equations (865) can reduce 264 to:
% 41.67/13.07  																																																																			| (311) $false
% 41.67/13.07  																																																																			|
% 41.67/13.07  																																																																			|-The branch is then unsatisfiable
% 41.67/13.07  																																																														|-Branch two:
% 41.67/13.07  																																																														| (479)  ~ (all_0_88_88 = e1)
% 41.67/13.07  																																																														| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 41.67/13.07  																																																														|
% 41.67/13.07  																																																															+-Applying beta-rule and splitting (897), into two cases.
% 41.67/13.07  																																																															|-Branch one:
% 41.67/13.07  																																																															| (566) all_0_93_93 = e1
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																																| Combining equations (570,566) yields a new equation:
% 41.67/13.07  																																																																| (825) e3 = e1
% 41.67/13.07  																																																																|
% 41.67/13.07  																																																																| Simplifying 825 yields:
% 41.67/13.07  																																																																| (772) e3 = e1
% 41.67/13.07  																																																																|
% 41.67/13.07  																																																																| Equations (772) can reduce 20 to:
% 41.67/13.07  																																																																| (311) $false
% 41.67/13.07  																																																																|
% 41.67/13.07  																																																																|-The branch is then unsatisfiable
% 41.67/13.07  																																																															|-Branch two:
% 41.67/13.07  																																																															| (481)  ~ (all_0_93_93 = e1)
% 41.67/13.07  																																																															| (1543) all_0_98_98 = e1
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																																| Combining equations (1121,1543) yields a new equation:
% 41.67/13.07  																																																																| (865) e1 = e0
% 41.67/13.07  																																																																|
% 41.67/13.07  																																																																| Equations (865) can reduce 264 to:
% 41.67/13.07  																																																																| (311) $false
% 41.67/13.07  																																																																|
% 41.67/13.07  																																																																|-The branch is then unsatisfiable
% 41.67/13.07  																																																													|-Branch two:
% 41.67/13.07  																																																													| (889)  ~ (all_0_87_87 = e0)
% 41.67/13.07  																																																													| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.67/13.07  																																																													|
% 41.67/13.07  																																																														+-Applying beta-rule and splitting (931), into two cases.
% 41.67/13.07  																																																														|-Branch one:
% 41.67/13.07  																																																														| (942) all_0_92_92 = e0
% 41.67/13.07  																																																														|
% 41.67/13.07  																																																															| Combining equations (942,836) yields a new equation:
% 41.67/13.07  																																																															| (865) e1 = e0
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																															| Equations (865) can reduce 264 to:
% 41.67/13.07  																																																															| (311) $false
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																															|-The branch is then unsatisfiable
% 41.67/13.07  																																																														|-Branch two:
% 41.67/13.07  																																																														| (946)  ~ (all_0_92_92 = e0)
% 41.67/13.07  																																																														| (560) all_0_97_97 = e0
% 41.67/13.07  																																																														|
% 41.67/13.07  																																																															| Combining equations (538,560) yields a new equation:
% 41.67/13.07  																																																															| (923) e2 = e0
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																															| Simplifying 923 yields:
% 41.67/13.07  																																																															| (379) e2 = e0
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																															| Equations (379) can reduce 76 to:
% 41.67/13.07  																																																															| (311) $false
% 41.67/13.07  																																																															|
% 41.67/13.07  																																																															|-The branch is then unsatisfiable
% 41.67/13.07  																																																							|-Branch two:
% 41.67/13.07  																																																							| (840)  ~ (all_0_92_92 = e1)
% 41.67/13.07  																																																							| (566) all_0_93_93 = e1
% 41.67/13.07  																																																							|
% 41.67/13.07  																																																								| Combining equations (570,566) yields a new equation:
% 41.67/13.07  																																																								| (825) e3 = e1
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																								| Simplifying 825 yields:
% 41.67/13.07  																																																								| (772) e3 = e1
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																								| Equations (772) can reduce 20 to:
% 41.67/13.07  																																																								| (311) $false
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																								|-The branch is then unsatisfiable
% 41.67/13.07  																																														|-Branch two:
% 41.67/13.07  																																														| (422)  ~ (all_0_84_84 = e3)
% 41.67/13.07  																																														| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 41.67/13.07  																																														|
% 41.67/13.07  																																															+-Applying beta-rule and splitting (207), into two cases.
% 41.67/13.07  																																															|-Branch one:
% 41.67/13.07  																																															| (416) all_0_80_80 = e3
% 41.67/13.07  																																															|
% 41.67/13.07  																																																| Combining equations (416,433) yields a new equation:
% 41.67/13.07  																																																| (434) e4 = e3
% 41.67/13.07  																																																|
% 41.67/13.07  																																																| Equations (434) can reduce 177 to:
% 41.67/13.07  																																																| (311) $false
% 41.67/13.07  																																																|
% 41.67/13.07  																																																|-The branch is then unsatisfiable
% 41.67/13.07  																																															|-Branch two:
% 41.67/13.07  																																															| (2347)  ~ (all_0_80_80 = e3)
% 41.67/13.07  																																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 41.67/13.07  																																															|
% 41.67/13.07  																																																+-Applying beta-rule and splitting (2481), into two cases.
% 41.67/13.07  																																																|-Branch one:
% 41.67/13.07  																																																| (1265) all_0_84_84 = e3
% 41.67/13.07  																																																|
% 41.67/13.07  																																																	| Equations (1265) can reduce 422 to:
% 41.67/13.07  																																																	| (311) $false
% 41.67/13.07  																																																	|
% 41.67/13.07  																																																	|-The branch is then unsatisfiable
% 41.67/13.07  																																																|-Branch two:
% 41.67/13.07  																																																| (422)  ~ (all_0_84_84 = e3)
% 41.67/13.07  																																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 41.67/13.07  																																																|
% 41.67/13.07  																																																	+-Applying beta-rule and splitting (3765), into two cases.
% 41.67/13.07  																																																	|-Branch one:
% 41.67/13.07  																																																	| (882) all_0_92_92 = e3
% 41.67/13.07  																																																	|
% 41.67/13.07  																																																		| Equations (882) can reduce 94 to:
% 41.67/13.07  																																																		| (227)  ~ (all_0_87_87 = e3)
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		| Equations (882) can reduce 265 to:
% 41.67/13.07  																																																		| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		| Equations (882) can reduce 298 to:
% 41.67/13.07  																																																		| (169)  ~ (e3 = e2)
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 41.67/13.07  																																																		|-Branch one:
% 41.67/13.07  																																																		| (635) all_0_81_81 = e3
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																			| Combining equations (473,635) yields a new equation:
% 41.67/13.07  																																																			| (548) e3 = e2
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																			| Equations (548) can reduce 169 to:
% 41.67/13.07  																																																			| (311) $false
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																			|-The branch is then unsatisfiable
% 41.67/13.07  																																																		|-Branch two:
% 41.67/13.07  																																																		| (420)  ~ (all_0_81_81 = e3)
% 41.67/13.07  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																			| Equations (473) can reduce 420 to:
% 41.67/13.07  																																																			| (356)  ~ (e3 = e2)
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																			| Simplifying 356 yields:
% 41.67/13.07  																																																			| (169)  ~ (e3 = e2)
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																			+-Applying beta-rule and splitting (1712), into two cases.
% 41.67/13.07  																																																			|-Branch one:
% 41.67/13.07  																																																			| (795) all_0_83_83 = e3
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																				| Combining equations (453,795) yields a new equation:
% 41.67/13.07  																																																				| (548) e3 = e2
% 41.67/13.07  																																																				|
% 41.67/13.07  																																																				| Equations (548) can reduce 169 to:
% 41.67/13.07  																																																				| (311) $false
% 41.67/13.07  																																																				|
% 41.67/13.07  																																																				|-The branch is then unsatisfiable
% 41.67/13.07  																																																			|-Branch two:
% 41.67/13.07  																																																			| (779)  ~ (all_0_83_83 = e3)
% 41.67/13.07  																																																			| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 41.67/13.07  																																																			|
% 41.67/13.07  																																																				+-Applying beta-rule and splitting (2), into two cases.
% 41.67/13.07  																																																				|-Branch one:
% 41.67/13.07  																																																				| (916) all_0_84_84 = e0
% 41.67/13.07  																																																				|
% 41.67/13.07  																																																					| Equations (916) can reduce 919 to:
% 41.67/13.07  																																																					| (311) $false
% 41.67/13.07  																																																					|
% 41.67/13.07  																																																					|-The branch is then unsatisfiable
% 41.67/13.07  																																																				|-Branch two:
% 41.67/13.07  																																																				| (919)  ~ (all_0_84_84 = e0)
% 41.67/13.07  																																																				| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 41.67/13.07  																																																				|
% 41.67/13.07  																																																					+-Applying beta-rule and splitting (151), into two cases.
% 41.67/13.07  																																																					|-Branch one:
% 41.67/13.07  																																																					| (824) all_0_80_80 = e1
% 41.67/13.07  																																																					|
% 41.67/13.07  																																																						| Combining equations (824,433) yields a new equation:
% 41.67/13.07  																																																						| (814) e4 = e1
% 41.67/13.07  																																																						|
% 41.67/13.07  																																																						| Equations (814) can reduce 256 to:
% 41.67/13.07  																																																						| (311) $false
% 41.67/13.07  																																																						|
% 41.67/13.07  																																																						|-The branch is then unsatisfiable
% 41.67/13.07  																																																					|-Branch two:
% 41.67/13.07  																																																					| (828)  ~ (all_0_80_80 = e1)
% 41.67/13.07  																																																					| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 41.67/13.07  																																																					|
% 41.67/13.07  																																																						+-Applying beta-rule and splitting (1842), into two cases.
% 41.67/13.07  																																																						|-Branch one:
% 41.67/13.07  																																																						| (588) all_0_91_91 = e3
% 41.67/13.07  																																																						|
% 41.67/13.07  																																																							| Equations (588) can reduce 571 to:
% 41.67/13.07  																																																							| (311) $false
% 41.67/13.07  																																																							|
% 41.67/13.07  																																																							|-The branch is then unsatisfiable
% 41.67/13.07  																																																						|-Branch two:
% 41.67/13.07  																																																						| (571)  ~ (all_0_91_91 = e3)
% 41.67/13.07  																																																						| (778) all_0_96_96 = e3
% 41.67/13.07  																																																						|
% 41.67/13.07  																																																							| Equations (778) can reduce 1479 to:
% 41.67/13.07  																																																							| (20)  ~ (e3 = e1)
% 41.67/13.07  																																																							|
% 41.67/13.07  																																																							+-Applying beta-rule and splitting (920), into two cases.
% 41.67/13.07  																																																							|-Branch one:
% 41.67/13.07  																																																							| (861) all_0_87_87 = e0
% 41.67/13.07  																																																							|
% 41.67/13.07  																																																								| Equations (861) can reduce 227 to:
% 41.67/13.07  																																																								| (906)  ~ (e3 = e0)
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																								| Simplifying 906 yields:
% 41.67/13.07  																																																								| (50)  ~ (e3 = e0)
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																								+-Applying beta-rule and splitting (1400), into two cases.
% 41.67/13.07  																																																								|-Branch one:
% 41.67/13.07  																																																								| (1456) all_0_91_91 = e0
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																									| Equations (1456) can reduce 959 to:
% 41.67/13.07  																																																									| (859)  ~ (e1 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Simplifying 859 yields:
% 41.67/13.07  																																																									| (264)  ~ (e1 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									+-Applying beta-rule and splitting (829), into two cases.
% 41.67/13.07  																																																									|-Branch one:
% 41.67/13.07  																																																									| (482) all_0_87_87 = e1
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																										| Combining equations (861,482) yields a new equation:
% 41.67/13.07  																																																										| (865) e1 = e0
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										| Equations (865) can reduce 264 to:
% 41.67/13.07  																																																										| (311) $false
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										|-The branch is then unsatisfiable
% 41.67/13.07  																																																									|-Branch two:
% 41.67/13.07  																																																									| (625)  ~ (all_0_87_87 = e1)
% 41.67/13.07  																																																									| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																										+-Applying beta-rule and splitting (835), into two cases.
% 41.67/13.07  																																																										|-Branch one:
% 41.67/13.07  																																																										| (836) all_0_92_92 = e1
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																											| Combining equations (836,882) yields a new equation:
% 41.67/13.07  																																																											| (772) e3 = e1
% 41.67/13.07  																																																											|
% 41.67/13.07  																																																											| Equations (772) can reduce 20 to:
% 41.67/13.07  																																																											| (311) $false
% 41.67/13.07  																																																											|
% 41.67/13.07  																																																											|-The branch is then unsatisfiable
% 41.67/13.07  																																																										|-Branch two:
% 41.67/13.07  																																																										| (840)  ~ (all_0_92_92 = e1)
% 41.67/13.07  																																																										| (542) all_0_97_97 = e1
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																											| Combining equations (538,542) yields a new equation:
% 41.67/13.07  																																																											| (408) e2 = e1
% 41.67/13.07  																																																											|
% 41.67/13.07  																																																											| Simplifying 408 yields:
% 41.67/13.07  																																																											| (385) e2 = e1
% 41.67/13.07  																																																											|
% 41.67/13.07  																																																											| Equations (385) can reduce 243 to:
% 41.67/13.07  																																																											| (311) $false
% 41.67/13.07  																																																											|
% 41.67/13.07  																																																											|-The branch is then unsatisfiable
% 41.67/13.07  																																																								|-Branch two:
% 41.67/13.07  																																																								| (1487)  ~ (all_0_91_91 = e0)
% 41.67/13.07  																																																								| (1837) all_0_96_96 = e0
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																									| Combining equations (778,1837) yields a new equation:
% 41.67/13.07  																																																									| (599) e3 = e0
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Simplifying 599 yields:
% 41.67/13.07  																																																									| (600) e3 = e0
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Equations (600) can reduce 50 to:
% 41.67/13.07  																																																									| (311) $false
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									|-The branch is then unsatisfiable
% 41.67/13.07  																																																							|-Branch two:
% 41.67/13.07  																																																							| (889)  ~ (all_0_87_87 = e0)
% 41.67/13.07  																																																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 41.67/13.07  																																																							|
% 41.67/13.07  																																																								+-Applying beta-rule and splitting (382), into two cases.
% 41.67/13.07  																																																								|-Branch one:
% 41.67/13.07  																																																								| (861) all_0_87_87 = e0
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																									| Equations (861) can reduce 889 to:
% 41.67/13.07  																																																									| (311) $false
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									|-The branch is then unsatisfiable
% 41.67/13.07  																																																								|-Branch two:
% 41.67/13.07  																																																								| (889)  ~ (all_0_87_87 = e0)
% 41.67/13.07  																																																								| (507) all_0_88_88 = e0
% 41.67/13.07  																																																								|
% 41.67/13.07  																																																									| Equations (507) can reduce 191 to:
% 41.67/13.07  																																																									| (906)  ~ (e3 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Simplifying 906 yields:
% 41.67/13.07  																																																									| (50)  ~ (e3 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Equations (507) can reduce 351 to:
% 41.67/13.07  																																																									| (510)  ~ (e2 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									| Simplifying 510 yields:
% 41.67/13.07  																																																									| (76)  ~ (e2 = e0)
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																									+-Applying beta-rule and splitting (931), into two cases.
% 41.67/13.07  																																																									|-Branch one:
% 41.67/13.07  																																																									| (942) all_0_92_92 = e0
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																										| Combining equations (882,942) yields a new equation:
% 41.67/13.07  																																																										| (599) e3 = e0
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										| Simplifying 599 yields:
% 41.67/13.07  																																																										| (600) e3 = e0
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										| Equations (600) can reduce 50 to:
% 41.67/13.07  																																																										| (311) $false
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										|-The branch is then unsatisfiable
% 41.67/13.07  																																																									|-Branch two:
% 41.67/13.07  																																																									| (946)  ~ (all_0_92_92 = e0)
% 41.67/13.07  																																																									| (560) all_0_97_97 = e0
% 41.67/13.07  																																																									|
% 41.67/13.07  																																																										| Combining equations (538,560) yields a new equation:
% 41.67/13.07  																																																										| (923) e2 = e0
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										| Simplifying 923 yields:
% 41.67/13.07  																																																										| (379) e2 = e0
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										| Equations (379) can reduce 76 to:
% 41.67/13.07  																																																										| (311) $false
% 41.67/13.07  																																																										|
% 41.67/13.07  																																																										|-The branch is then unsatisfiable
% 41.67/13.07  																																																	|-Branch two:
% 41.67/13.07  																																																	| (426)  ~ (all_0_92_92 = e3)
% 41.67/13.07  																																																	| (556) all_0_97_97 = e3
% 41.67/13.07  																																																	|
% 41.67/13.07  																																																		| Combining equations (556,538) yields a new equation:
% 41.67/13.07  																																																		| (547) e3 = e2
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		| Simplifying 547 yields:
% 41.67/13.07  																																																		| (548) e3 = e2
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		| Equations (548) can reduce 169 to:
% 41.67/13.07  																																																		| (311) $false
% 41.67/13.07  																																																		|
% 41.67/13.07  																																																		|-The branch is then unsatisfiable
% 41.67/13.07  																																												|-Branch two:
% 41.67/13.07  																																												| (914)  ~ (all_0_82_82 = e0)
% 41.67/13.07  																																												| (469) all_0_82_82 = e4
% 41.67/13.07  																																												|
% 41.67/13.07  																																													| Equations (469) can reduce 465 to:
% 41.67/13.07  																																													| (311) $false
% 41.67/13.07  																																													|
% 41.67/13.07  																																													|-The branch is then unsatisfiable
% 41.67/13.07  																																							|-Branch two:
% 41.67/13.07  																																							| (648)  ~ (all_0_85_85 = e4)
% 41.67/13.07  																																							| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 41.67/13.07  																																							|
% 41.67/13.07  																																								+-Applying beta-rule and splitting (2576), into two cases.
% 41.67/13.07  																																								|-Branch one:
% 41.67/13.07  																																								| (607) all_0_93_93 = e4
% 41.67/13.07  																																								|
% 41.67/13.07  																																									| Equations (607) can reduce 496 to:
% 41.67/13.07  																																									| (311) $false
% 41.67/13.07  																																									|
% 41.67/13.07  																																									|-The branch is then unsatisfiable
% 41.67/13.07  																																								|-Branch two:
% 41.67/13.07  																																								| (496)  ~ (all_0_93_93 = e4)
% 41.67/13.07  																																								| (2650) all_0_98_98 = e4
% 41.67/13.07  																																								|
% 41.67/13.07  																																									| Equations (2650) can reduce 321 to:
% 41.67/13.07  																																									| (311) $false
% 41.67/13.07  																																									|
% 41.67/13.07  																																									|-The branch is then unsatisfiable
% 41.67/13.07  																																					|-Branch two:
% 41.67/13.07  																																					| (467)  ~ (all_0_90_90 = e4)
% 41.67/13.07  																																					| (894) all_0_95_95 = e4
% 41.67/13.07  																																					|
% 41.67/13.07  																																						| Equations (894) can reduce 315 to:
% 41.67/13.07  																																						| (311) $false
% 41.67/13.07  																																						|
% 41.67/13.07  																																						|-The branch is then unsatisfiable
% 41.67/13.07  																																|-Branch two:
% 41.67/13.07  																																| (527)  ~ (all_0_97_97 = e2)
% 41.67/13.07  																																| (525) all_0_98_98 = e2
% 41.67/13.07  																																|
% 41.67/13.07  																																	| Equations (525) can reduce 1349 to:
% 41.67/13.07  																																	| (311) $false
% 41.67/13.07  																																	|
% 41.67/13.07  																																	|-The branch is then unsatisfiable
% 41.67/13.07  																												|-Branch two:
% 41.67/13.07  																												| (396)  ~ (all_0_81_81 = e2)
% 41.67/13.07  																												| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 41.67/13.07  																												|
% 41.67/13.07  																													+-Applying beta-rule and splitting (551), into two cases.
% 41.67/13.07  																													|-Branch one:
% 41.67/13.07  																													| (552) all_0_84_84 = e2
% 41.67/13.07  																													|
% 41.67/13.07  																														| Equations (552) can reduce 612 to:
% 41.67/13.07  																														| (311) $false
% 41.67/13.07  																														|
% 41.67/13.07  																														|-The branch is then unsatisfiable
% 41.67/13.07  																													|-Branch two:
% 41.67/13.07  																													| (612)  ~ (all_0_84_84 = e2)
% 41.67/13.07  																													| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 41.67/13.07  																													|
% 41.67/13.07  																														+-Applying beta-rule and splitting (613), into two cases.
% 41.67/13.07  																														|-Branch one:
% 41.67/13.07  																														| (374) all_0_87_87 = e2
% 41.67/13.07  																														|
% 41.67/13.07  																															| Equations (374) can reduce 349 to:
% 41.67/13.07  																															| (311) $false
% 41.67/13.07  																															|
% 41.67/13.07  																															|-The branch is then unsatisfiable
% 41.67/13.07  																														|-Branch two:
% 41.67/13.07  																														| (349)  ~ (all_0_87_87 = e2)
% 41.67/13.07  																														| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 41.67/13.07  																														|
% 41.67/13.07  																															+-Applying beta-rule and splitting (1342), into two cases.
% 41.67/13.07  																															|-Branch one:
% 41.67/13.07  																															| (1343) all_0_92_92 = e2
% 41.67/13.07  																															|
% 41.67/13.07  																																| Equations (1343) can reduce 298 to:
% 41.67/13.07  																																| (311) $false
% 41.67/13.07  																																|
% 41.67/13.07  																																|-The branch is then unsatisfiable
% 41.67/13.07  																															|-Branch two:
% 41.67/13.07  																															| (298)  ~ (all_0_92_92 = e2)
% 41.67/13.07  																															| (538) all_0_97_97 = e2
% 41.67/13.07  																															|
% 41.67/13.07  																																| Equations (538) can reduce 148 to:
% 41.67/13.07  																																| (1348)  ~ (all_0_98_98 = e2)
% 41.67/13.08  																																|
% 41.67/13.08  																																| Simplifying 1348 yields:
% 41.67/13.08  																																| (1349)  ~ (all_0_98_98 = e2)
% 41.67/13.08  																																|
% 41.67/13.08  																																+-Applying beta-rule and splitting (205), into two cases.
% 41.67/13.08  																																|-Branch one:
% 41.67/13.08  																																| (473) all_0_81_81 = e2
% 41.67/13.08  																																|
% 41.67/13.08  																																	| Equations (473) can reduce 396 to:
% 41.67/13.08  																																	| (311) $false
% 41.67/13.08  																																	|
% 41.67/13.08  																																	|-The branch is then unsatisfiable
% 41.67/13.08  																																|-Branch two:
% 41.67/13.08  																																| (396)  ~ (all_0_81_81 = e2)
% 41.67/13.08  																																| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 41.67/13.08  																																|
% 41.67/13.08  																																	+-Applying beta-rule and splitting (503), into two cases.
% 41.67/13.08  																																	|-Branch one:
% 41.67/13.08  																																	| (512) all_0_85_85 = e2
% 41.67/13.08  																																	|
% 41.67/13.08  																																		| Equations (512) can reduce 515 to:
% 41.67/13.08  																																		| (311) $false
% 41.67/13.08  																																		|
% 41.67/13.08  																																		|-The branch is then unsatisfiable
% 41.67/13.08  																																	|-Branch two:
% 41.67/13.08  																																	| (515)  ~ (all_0_85_85 = e2)
% 41.67/13.08  																																	| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 41.67/13.08  																																	|
% 41.67/13.08  																																		+-Applying beta-rule and splitting (516), into two cases.
% 41.67/13.08  																																		|-Branch one:
% 41.67/13.08  																																		| (370) all_0_88_88 = e2
% 41.67/13.08  																																		|
% 41.67/13.08  																																			| Equations (370) can reduce 351 to:
% 41.67/13.08  																																			| (311) $false
% 41.67/13.08  																																			|
% 41.67/13.08  																																			|-The branch is then unsatisfiable
% 41.67/13.08  																																		|-Branch two:
% 41.67/13.08  																																		| (351)  ~ (all_0_88_88 = e2)
% 41.67/13.08  																																		| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 41.67/13.08  																																		|
% 41.67/13.08  																																			+-Applying beta-rule and splitting (521), into two cases.
% 41.67/13.08  																																			|-Branch one:
% 41.67/13.08  																																			| (522) all_0_93_93 = e2
% 41.67/13.08  																																			|
% 41.67/13.08  																																				| Equations (522) can reduce 300 to:
% 41.67/13.08  																																				| (311) $false
% 41.67/13.08  																																				|
% 41.67/13.08  																																				|-The branch is then unsatisfiable
% 41.67/13.08  																																			|-Branch two:
% 41.67/13.08  																																			| (300)  ~ (all_0_93_93 = e2)
% 41.67/13.08  																																			| (525) all_0_98_98 = e2
% 41.67/13.08  																																			|
% 41.67/13.08  																																				| Equations (525) can reduce 1349 to:
% 41.67/13.08  																																				| (311) $false
% 41.67/13.08  																																				|
% 41.67/13.08  																																				|-The branch is then unsatisfiable
% 41.67/13.08  																							|-Branch two:
% 41.67/13.08  																							| (418)  ~ (all_0_78_78 = e3)
% 41.67/13.08  																							| (463) all_0_78_78 = e4
% 41.67/13.08  																							|
% 41.67/13.08  																								| Equations (463) can reduce 640 to:
% 41.67/13.08  																								| (311) $false
% 41.67/13.08  																								|
% 41.67/13.08  																								|-The branch is then unsatisfiable
% 41.67/13.08  														|-Branch two:
% 41.67/13.08  														| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 41.67/13.08  														|
% 41.67/13.08  															| Applying alpha-rule on (4957) yields:
% 41.67/13.08  															| (4958) all_0_58_58 = e0
% 41.67/13.08  															| (4959)  ~ (all_0_59_59 = e2)
% 41.67/13.08  															|
% 41.67/13.08  															| From (4958) and (212) follows:
% 41.67/13.08  															| (4960) op(e2, all_0_96_96) = e0
% 41.67/13.08  															|
% 41.67/13.08  															+-Applying beta-rule and splitting (84), into two cases.
% 41.67/13.08  															|-Branch one:
% 41.67/13.08  															| (1704) all_0_96_96 = e2
% 41.67/13.08  															|
% 41.67/13.08  																| Equations (1704) can reduce 1638 to:
% 41.67/13.08  																| (311) $false
% 41.67/13.08  																|
% 41.67/13.08  																|-The branch is then unsatisfiable
% 41.67/13.08  															|-Branch two:
% 41.67/13.08  															| (1638)  ~ (all_0_96_96 = e2)
% 41.67/13.08  															| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 41.67/13.08  															|
% 41.67/13.08  																+-Applying beta-rule and splitting (285), into two cases.
% 41.67/13.08  																|-Branch one:
% 41.67/13.08  																| (1708) all_0_79_79 = e3
% 41.67/13.08  																|
% 41.67/13.08  																	| Combining equations (457,1708) yields a new equation:
% 41.67/13.08  																	| (772) e3 = e1
% 41.67/13.08  																	|
% 41.67/13.08  																	| Equations (772) can reduce 20 to:
% 41.67/13.08  																	| (311) $false
% 41.67/13.08  																	|
% 41.67/13.08  																	|-The branch is then unsatisfiable
% 41.67/13.08  																|-Branch two:
% 41.67/13.08  																| (1711)  ~ (all_0_79_79 = e3)
% 41.67/13.08  																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 41.67/13.08  																|
% 41.67/13.08  																	| Equations (457) can reduce 1711 to:
% 41.67/13.08  																	| (683)  ~ (e3 = e1)
% 41.67/13.08  																	|
% 41.67/13.08  																	| Simplifying 683 yields:
% 41.67/13.08  																	| (20)  ~ (e3 = e1)
% 41.67/13.08  																	|
% 41.67/13.08  																	+-Applying beta-rule and splitting (188), into two cases.
% 41.67/13.08  																	|-Branch one:
% 41.67/13.08  																	| (676) all_0_78_78 = e1
% 41.67/13.08  																	|
% 41.67/13.08  																		| Equations (676) can reduce 1601 to:
% 41.67/13.08  																		| (311) $false
% 41.67/13.08  																		|
% 41.67/13.08  																		|-The branch is then unsatisfiable
% 41.67/13.08  																	|-Branch two:
% 41.67/13.08  																	| (1601)  ~ (all_0_78_78 = e1)
% 41.67/13.08  																	| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 41.67/13.08  																	|
% 41.67/13.08  																		+-Applying beta-rule and splitting (24), into two cases.
% 41.67/13.08  																		|-Branch one:
% 41.67/13.08  																		| (400) all_0_78_78 = e2
% 41.67/13.08  																		|
% 41.67/13.08  																			| Equations (400) can reduce 346 to:
% 41.67/13.08  																			| (311) $false
% 41.67/13.08  																			|
% 41.67/13.08  																			|-The branch is then unsatisfiable
% 41.67/13.08  																		|-Branch two:
% 41.67/13.08  																		| (346)  ~ (all_0_78_78 = e2)
% 41.67/13.08  																		| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 41.67/13.08  																		|
% 41.67/13.08  																			+-Applying beta-rule and splitting (284), into two cases.
% 41.67/13.08  																			|-Branch one:
% 41.67/13.08  																			| (1723) all_0_91_91 = e2
% 41.67/13.08  																			|
% 41.67/13.08  																				| Equations (1723) can reduce 296 to:
% 41.67/13.08  																				| (311) $false
% 41.67/13.08  																				|
% 41.67/13.08  																				|-The branch is then unsatisfiable
% 41.67/13.08  																			|-Branch two:
% 41.67/13.08  																			| (296)  ~ (all_0_91_91 = e2)
% 41.67/13.08  																			| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 41.67/13.08  																			|
% 41.67/13.08  																				+-Applying beta-rule and splitting (56), into two cases.
% 41.67/13.08  																				|-Branch one:
% 41.67/13.08  																				| (463) all_0_78_78 = e4
% 41.67/13.08  																				|
% 41.67/13.08  																					| Equations (463) can reduce 67 to:
% 41.67/13.08  																					| (1728)  ~ (all_0_80_80 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Simplifying 1728 yields:
% 41.67/13.08  																					| (436)  ~ (all_0_80_80 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Equations (463) can reduce 278 to:
% 41.67/13.08  																					| (1730)  ~ (all_0_81_81 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Simplifying 1730 yields:
% 41.67/13.08  																					| (634)  ~ (all_0_81_81 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Equations (463) can reduce 193 to:
% 41.67/13.08  																					| (464)  ~ (all_0_82_82 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Simplifying 464 yields:
% 41.67/13.08  																					| (465)  ~ (all_0_82_82 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Equations (463) can reduce 85 to:
% 41.67/13.08  																					| (466)  ~ (all_0_90_90 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Simplifying 466 yields:
% 41.67/13.08  																					| (467)  ~ (all_0_90_90 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Equations (463) can reduce 125 to:
% 41.67/13.08  																					| (314)  ~ (all_0_95_95 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					| Simplifying 314 yields:
% 41.67/13.08  																					| (315)  ~ (all_0_95_95 = e4)
% 41.67/13.08  																					|
% 41.67/13.08  																					+-Applying beta-rule and splitting (109), into two cases.
% 41.67/13.08  																					|-Branch one:
% 41.67/13.08  																					| (469) all_0_82_82 = e4
% 41.67/13.08  																					|
% 41.67/13.08  																						| Equations (469) can reduce 465 to:
% 41.67/13.08  																						| (311) $false
% 41.67/13.08  																						|
% 41.67/13.08  																						|-The branch is then unsatisfiable
% 41.67/13.08  																					|-Branch two:
% 41.67/13.08  																					| (465)  ~ (all_0_82_82 = e4)
% 42.03/13.08  																					| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.03/13.08  																					|
% 42.03/13.08  																						+-Applying beta-rule and splitting (123), into two cases.
% 42.03/13.08  																						|-Branch one:
% 42.03/13.08  																						| (473) all_0_81_81 = e2
% 42.03/13.08  																						|
% 42.03/13.08  																							| Equations (473) can reduce 118 to:
% 42.03/13.08  																							| (691)  ~ (all_0_85_85 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Simplifying 691 yields:
% 42.03/13.08  																							| (515)  ~ (all_0_85_85 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Equations (473) can reduce 266 to:
% 42.03/13.08  																							| (350)  ~ (all_0_88_88 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Simplifying 350 yields:
% 42.03/13.08  																							| (351)  ~ (all_0_88_88 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Equations (473) can reduce 5 to:
% 42.03/13.08  																							| (1348)  ~ (all_0_98_98 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Simplifying 1348 yields:
% 42.03/13.08  																							| (1349)  ~ (all_0_98_98 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Equations (473) can reduce 634 to:
% 42.03/13.08  																							| (528)  ~ (e4 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Simplifying 528 yields:
% 42.03/13.08  																							| (79)  ~ (e4 = e2)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Equations (473) can reduce 628 to:
% 42.03/13.08  																							| (243)  ~ (e2 = e1)
% 42.03/13.08  																							|
% 42.03/13.08  																							| Equations (473) can reduce 257 to:
% 42.03/13.08  																							| (76)  ~ (e2 = e0)
% 42.03/13.08  																							|
% 42.03/13.08  																							+-Applying beta-rule and splitting (106), into two cases.
% 42.03/13.08  																							|-Branch one:
% 42.03/13.08  																							| (771) all_0_78_78 = e3
% 42.03/13.08  																							|
% 42.03/13.08  																								| Combining equations (771,463) yields a new equation:
% 42.03/13.08  																								| (434) e4 = e3
% 42.03/13.08  																								|
% 42.03/13.08  																								| Equations (434) can reduce 177 to:
% 42.03/13.08  																								| (311) $false
% 42.03/13.08  																								|
% 42.03/13.08  																								|-The branch is then unsatisfiable
% 42.03/13.08  																							|-Branch two:
% 42.03/13.08  																							| (418)  ~ (all_0_78_78 = e3)
% 42.03/13.08  																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 42.03/13.08  																							|
% 42.03/13.08  																								+-Applying beta-rule and splitting (97), into two cases.
% 42.03/13.08  																								|-Branch one:
% 42.03/13.08  																								| (1757) all_0_94_94 = e2
% 42.03/13.08  																								|
% 42.03/13.08  																									| Combining equations (313,1757) yields a new equation:
% 42.03/13.08  																									| (309) e4 = e2
% 42.03/13.08  																									|
% 42.03/13.08  																									| Simplifying 309 yields:
% 42.03/13.08  																									| (310) e4 = e2
% 42.03/13.08  																									|
% 42.03/13.08  																									| Equations (310) can reduce 79 to:
% 42.03/13.08  																									| (311) $false
% 42.03/13.08  																									|
% 42.03/13.08  																									|-The branch is then unsatisfiable
% 42.03/13.08  																								|-Branch two:
% 42.03/13.08  																								| (1761)  ~ (all_0_94_94 = e2)
% 42.03/13.08  																								| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.03/13.08  																								|
% 42.03/13.08  																									+-Applying beta-rule and splitting (1756), into two cases.
% 42.03/13.08  																									|-Branch one:
% 42.03/13.08  																									| (1708) all_0_79_79 = e3
% 42.03/13.08  																									|
% 42.03/13.08  																										| Combining equations (1708,457) yields a new equation:
% 42.03/13.08  																										| (825) e3 = e1
% 42.03/13.08  																										|
% 42.03/13.08  																										| Simplifying 825 yields:
% 42.03/13.08  																										| (772) e3 = e1
% 42.03/13.08  																										|
% 42.03/13.08  																										| Equations (772) can reduce 20 to:
% 42.03/13.08  																										| (311) $false
% 42.03/13.08  																										|
% 42.03/13.08  																										|-The branch is then unsatisfiable
% 42.03/13.08  																									|-Branch two:
% 42.03/13.08  																									| (1711)  ~ (all_0_79_79 = e3)
% 42.03/13.08  																									| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 42.03/13.08  																									|
% 42.03/13.08  																										+-Applying beta-rule and splitting (1762), into two cases.
% 42.03/13.08  																										|-Branch one:
% 42.03/13.08  																										| (767) all_0_95_95 = e2
% 42.03/13.08  																										|
% 42.03/13.08  																											| Equations (767) can reduce 355 to:
% 42.03/13.08  																											| (311) $false
% 42.03/13.08  																											|
% 42.03/13.08  																											|-The branch is then unsatisfiable
% 42.03/13.08  																										|-Branch two:
% 42.03/13.08  																										| (355)  ~ (all_0_95_95 = e2)
% 42.03/13.08  																										| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.03/13.08  																										|
% 42.03/13.08  																											+-Applying beta-rule and splitting (1768), into two cases.
% 42.03/13.08  																											|-Branch one:
% 42.03/13.08  																											| (416) all_0_80_80 = e3
% 42.03/13.08  																											|
% 42.03/13.08  																												| Equations (416) can reduce 273 to:
% 42.03/13.08  																												| (421)  ~ (all_0_84_84 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Simplifying 421 yields:
% 42.03/13.08  																												| (422)  ~ (all_0_84_84 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Equations (416) can reduce 73 to:
% 42.03/13.08  																												| (423)  ~ (all_0_87_87 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Simplifying 423 yields:
% 42.03/13.08  																												| (227)  ~ (all_0_87_87 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Equations (416) can reduce 202 to:
% 42.03/13.08  																												| (427)  ~ (all_0_97_97 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Simplifying 427 yields:
% 42.03/13.08  																												| (428)  ~ (all_0_97_97 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Equations (416) can reduce 436 to:
% 42.03/13.08  																												| (783)  ~ (e4 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Simplifying 783 yields:
% 42.03/13.08  																												| (177)  ~ (e4 = e3)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Equations (416) can reduce 828 to:
% 42.03/13.08  																												| (20)  ~ (e3 = e1)
% 42.03/13.08  																												|
% 42.03/13.08  																												| Equations (416) can reduce 166 to:
% 42.03/13.08  																												| (50)  ~ (e3 = e0)
% 42.03/13.08  																												|
% 42.03/13.08  																												| From (416) and (233) follows:
% 42.03/13.08  																												| (432) op(e1, e3) = all_0_60_60
% 42.03/13.08  																												|
% 42.03/13.08  																												+-Applying beta-rule and splitting (1772), into two cases.
% 42.03/13.08  																												|-Branch one:
% 42.03/13.08  																												| (1704) all_0_96_96 = e2
% 42.03/13.08  																												|
% 42.03/13.08  																													| Equations (1704) can reduce 1638 to:
% 42.03/13.08  																													| (311) $false
% 42.03/13.08  																													|
% 42.03/13.08  																													|-The branch is then unsatisfiable
% 42.03/13.08  																												|-Branch two:
% 42.03/13.08  																												| (1638)  ~ (all_0_96_96 = e2)
% 42.03/13.08  																												| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 42.03/13.08  																												|
% 42.03/13.08  																													+-Applying beta-rule and splitting (1783), into two cases.
% 42.03/13.08  																													|-Branch one:
% 42.03/13.08  																													| (538) all_0_97_97 = e2
% 42.03/13.08  																													|
% 42.03/13.08  																														| Equations (538) can reduce 195 to:
% 42.03/13.08  																														| (612)  ~ (all_0_84_84 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Equations (538) can reduce 221 to:
% 42.03/13.08  																														| (349)  ~ (all_0_87_87 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Equations (538) can reduce 258 to:
% 42.03/13.08  																														| (298)  ~ (all_0_92_92 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Equations (538) can reduce 105 to:
% 42.03/13.08  																														| (355)  ~ (all_0_95_95 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Equations (538) can reduce 148 to:
% 42.03/13.08  																														| (1348)  ~ (all_0_98_98 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Simplifying 1348 yields:
% 42.03/13.08  																														| (1349)  ~ (all_0_98_98 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Equations (538) can reduce 428 to:
% 42.03/13.08  																														| (356)  ~ (e3 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| Simplifying 356 yields:
% 42.03/13.08  																														| (169)  ~ (e3 = e2)
% 42.03/13.08  																														|
% 42.03/13.08  																														| From (538) and (252) follows:
% 42.03/13.08  																														| (4070) op(e1, e2) = all_0_67_67
% 42.03/13.08  																														|
% 42.03/13.08  																														| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 42.03/13.08  																														| (451) all_0_60_60 = all_0_90_90
% 42.03/13.08  																														|
% 42.03/13.08  																														| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 42.03/13.08  																														| (4077) all_0_67_67 = all_0_91_91
% 42.03/13.08  																														|
% 42.03/13.08  																														+-Applying beta-rule and splitting (92), into two cases.
% 42.03/13.08  																														|-Branch one:
% 42.03/13.08  																														| (552) all_0_84_84 = e2
% 42.03/13.08  																														|
% 42.03/13.08  																															| Equations (552) can reduce 612 to:
% 42.03/13.08  																															| (311) $false
% 42.03/13.08  																															|
% 42.03/13.08  																															|-The branch is then unsatisfiable
% 42.03/13.08  																														|-Branch two:
% 42.03/13.08  																														| (612)  ~ (all_0_84_84 = e2)
% 42.03/13.08  																														| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.03/13.08  																														|
% 42.03/13.08  																															+-Applying beta-rule and splitting (176), into two cases.
% 42.03/13.08  																															|-Branch one:
% 42.03/13.08  																															| (785) all_0_95_95 = e1
% 42.03/13.08  																															|
% 42.03/13.08  																																| Equations (785) can reduce 279 to:
% 42.03/13.08  																																| (1671)  ~ (all_0_96_96 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																| Simplifying 1671 yields:
% 42.03/13.08  																																| (1479)  ~ (all_0_96_96 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																| Equations (785) can reduce 107 to:
% 42.03/13.08  																																| (1803)  ~ (all_0_98_98 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																| Simplifying 1803 yields:
% 42.03/13.08  																																| (1804)  ~ (all_0_98_98 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																| Equations (785) can reduce 355 to:
% 42.03/13.08  																																| (487)  ~ (e2 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																| Simplifying 487 yields:
% 42.03/13.08  																																| (243)  ~ (e2 = e1)
% 42.03/13.08  																																|
% 42.03/13.08  																																+-Applying beta-rule and splitting (220), into two cases.
% 42.03/13.08  																																|-Branch one:
% 42.03/13.08  																																| (771) all_0_78_78 = e3
% 42.03/13.08  																																|
% 42.03/13.08  																																	| Combining equations (463,771) yields a new equation:
% 42.03/13.08  																																	| (790) e4 = e3
% 42.03/13.08  																																	|
% 42.03/13.08  																																	| Simplifying 790 yields:
% 42.03/13.08  																																	| (434) e4 = e3
% 42.03/13.08  																																	|
% 42.03/13.08  																																	| Equations (434) can reduce 177 to:
% 42.03/13.08  																																	| (311) $false
% 42.03/13.08  																																	|
% 42.03/13.08  																																	|-The branch is then unsatisfiable
% 42.03/13.08  																																|-Branch two:
% 42.03/13.08  																																| (418)  ~ (all_0_78_78 = e3)
% 42.03/13.08  																																| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 42.03/13.08  																																|
% 42.03/13.08  																																	+-Applying beta-rule and splitting (171), into two cases.
% 42.03/13.08  																																	|-Branch one:
% 42.03/13.08  																																	| (789) all_0_82_82 = e3
% 42.03/13.08  																																	|
% 42.03/13.08  																																		| Equations (789) can reduce 7 to:
% 42.03/13.08  																																		| (421)  ~ (all_0_84_84 = e3)
% 42.03/13.08  																																		|
% 42.03/13.08  																																		| Simplifying 421 yields:
% 42.03/13.08  																																		| (422)  ~ (all_0_84_84 = e3)
% 42.03/13.08  																																		|
% 42.03/13.08  																																		| Equations (789) can reduce 255 to:
% 42.03/13.08  																																		| (1815)  ~ (all_0_90_90 = e3)
% 42.03/13.08  																																		|
% 42.03/13.08  																																		| Simplifying 1815 yields:
% 42.03/13.08  																																		| (745)  ~ (all_0_90_90 = e3)
% 42.03/13.08  																																		|
% 42.03/13.08  																																		| Equations (789) can reduce 347 to:
% 42.03/13.08  																																		| (169)  ~ (e3 = e2)
% 42.03/13.08  																																		|
% 42.03/13.08  																																		+-Applying beta-rule and splitting (254), into two cases.
% 42.03/13.08  																																		|-Branch one:
% 42.03/13.08  																																		| (910) all_0_82_82 = e0
% 42.03/13.08  																																		|
% 42.03/13.08  																																			| Combining equations (910,789) yields a new equation:
% 42.03/13.08  																																			| (600) e3 = e0
% 42.03/13.08  																																			|
% 42.03/13.08  																																			| Equations (600) can reduce 50 to:
% 42.03/13.08  																																			| (311) $false
% 42.03/13.08  																																			|
% 42.03/13.08  																																			|-The branch is then unsatisfiable
% 42.03/13.08  																																		|-Branch two:
% 42.03/13.08  																																		| (914)  ~ (all_0_82_82 = e0)
% 42.03/13.08  																																		| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.03/13.08  																																		|
% 42.03/13.08  																																			+-Applying beta-rule and splitting (915), into two cases.
% 42.03/13.08  																																			|-Branch one:
% 42.03/13.08  																																			| (378) all_0_86_86 = e0
% 42.03/13.08  																																			|
% 42.03/13.08  																																				| Combining equations (345,378) yields a new equation:
% 42.03/13.08  																																				| (923) e2 = e0
% 42.03/13.08  																																				|
% 42.03/13.08  																																				| Simplifying 923 yields:
% 42.03/13.08  																																				| (379) e2 = e0
% 42.03/13.08  																																				|
% 42.03/13.08  																																				| Equations (379) can reduce 76 to:
% 42.03/13.08  																																				| (311) $false
% 42.03/13.08  																																				|
% 42.03/13.08  																																				|-The branch is then unsatisfiable
% 42.03/13.08  																																			|-Branch two:
% 42.03/13.08  																																			| (381)  ~ (all_0_86_86 = e0)
% 42.03/13.08  																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.03/13.08  																																			|
% 42.03/13.08  																																				+-Applying beta-rule and splitting (927), into two cases.
% 42.03/13.08  																																				|-Branch one:
% 42.03/13.09  																																				| (758) all_0_90_90 = e0
% 42.03/13.09  																																				|
% 42.03/13.09  																																					| Combining equations (758,451) yields a new equation:
% 42.03/13.09  																																					| (3457) all_0_60_60 = e0
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Equations (758) can reduce 103 to:
% 42.03/13.09  																																					| (1830)  ~ (all_0_91_91 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Simplifying 1830 yields:
% 42.03/13.09  																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Equations (758) can reduce 72 to:
% 42.03/13.09  																																					| (2299)  ~ (all_0_92_92 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Simplifying 2299 yields:
% 42.03/13.09  																																					| (946)  ~ (all_0_92_92 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Equations (758) can reduce 745 to:
% 42.03/13.09  																																					| (906)  ~ (e3 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					| Simplifying 906 yields:
% 42.03/13.09  																																					| (50)  ~ (e3 = e0)
% 42.03/13.09  																																					|
% 42.03/13.09  																																					+-Applying beta-rule and splitting (1400), into two cases.
% 42.03/13.09  																																					|-Branch one:
% 42.03/13.09  																																					| (1456) all_0_91_91 = e0
% 42.03/13.09  																																					|
% 42.03/13.09  																																						| Equations (1456) can reduce 1487 to:
% 42.03/13.09  																																						| (311) $false
% 42.03/13.09  																																						|
% 42.03/13.09  																																						|-The branch is then unsatisfiable
% 42.03/13.09  																																					|-Branch two:
% 42.03/13.09  																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.03/13.09  																																					| (1837) all_0_96_96 = e0
% 42.03/13.09  																																					|
% 42.03/13.09  																																						| Equations (1837) can reduce 43 to:
% 42.03/13.09  																																						| (2058)  ~ (all_0_98_98 = e0)
% 42.03/13.09  																																						|
% 42.03/13.09  																																						| Simplifying 2058 yields:
% 42.03/13.09  																																						| (2059)  ~ (all_0_98_98 = e0)
% 42.03/13.09  																																						|
% 42.03/13.09  																																						| From (1837) and (4960) follows:
% 42.03/13.09  																																						| (2170) op(e2, e0) = e0
% 42.03/13.09  																																						|
% 42.03/13.09  																																						+-Applying beta-rule and splitting (1712), into two cases.
% 42.03/13.09  																																						|-Branch one:
% 42.03/13.09  																																						| (795) all_0_83_83 = e3
% 42.03/13.09  																																						|
% 42.03/13.09  																																							| Combining equations (453,795) yields a new equation:
% 42.03/13.09  																																							| (548) e3 = e2
% 42.03/13.09  																																							|
% 42.03/13.09  																																							| Equations (548) can reduce 169 to:
% 42.03/13.09  																																							| (311) $false
% 42.03/13.09  																																							|
% 42.03/13.09  																																							|-The branch is then unsatisfiable
% 42.03/13.09  																																						|-Branch two:
% 42.03/13.09  																																						| (779)  ~ (all_0_83_83 = e3)
% 42.03/13.09  																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.03/13.09  																																						|
% 42.03/13.09  																																							+-Applying beta-rule and splitting (1842), into two cases.
% 42.03/13.09  																																							|-Branch one:
% 42.03/13.09  																																							| (588) all_0_91_91 = e3
% 42.03/13.09  																																							|
% 42.03/13.09  																																								| Combining equations (588,4077) yields a new equation:
% 42.03/13.09  																																								| (576) all_0_67_67 = e3
% 42.03/13.09  																																								|
% 42.03/13.09  																																								+-Applying beta-rule and splitting (48), into two cases.
% 42.03/13.09  																																								|-Branch one:
% 42.03/13.09  																																								| (525) all_0_98_98 = e2
% 42.03/13.09  																																								|
% 42.03/13.09  																																									| Equations (525) can reduce 1349 to:
% 42.03/13.09  																																									| (311) $false
% 42.03/13.09  																																									|
% 42.03/13.09  																																									|-The branch is then unsatisfiable
% 42.03/13.09  																																								|-Branch two:
% 42.03/13.09  																																								| (1349)  ~ (all_0_98_98 = e2)
% 42.03/13.09  																																								| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 42.03/13.09  																																								|
% 42.03/13.09  																																									+-Applying beta-rule and splitting (5118), into two cases.
% 42.03/13.09  																																									|-Branch one:
% 42.03/13.09  																																									| (1543) all_0_98_98 = e1
% 42.03/13.09  																																									|
% 42.03/13.09  																																										| Equations (1543) can reduce 1804 to:
% 42.03/13.09  																																										| (311) $false
% 42.03/13.09  																																										|
% 42.03/13.09  																																										|-The branch is then unsatisfiable
% 42.03/13.09  																																									|-Branch two:
% 42.03/13.09  																																									| (1804)  ~ (all_0_98_98 = e1)
% 42.03/13.09  																																									| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 42.03/13.09  																																									|
% 42.03/13.09  																																										+-Applying beta-rule and splitting (5122), into two cases.
% 42.03/13.09  																																										|-Branch one:
% 42.03/13.09  																																										| (969) all_0_98_98 = e3
% 42.03/13.09  																																										|
% 42.03/13.09  																																											| Equations (969) can reduce 31 to:
% 42.03/13.09  																																											| (191)  ~ (all_0_88_88 = e3)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (969) can reduce 13 to:
% 42.03/13.09  																																											| (602)  ~ (all_0_93_93 = e3)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (969) can reduce 321 to:
% 42.03/13.09  																																											| (783)  ~ (e4 = e3)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Simplifying 783 yields:
% 42.03/13.09  																																											| (177)  ~ (e4 = e3)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Instantiating formula (262) with e2, e0, e0, all_0_88_88 and discharging atoms op(e2, e0) = all_0_88_88, op(e2, e0) = e0, yields:
% 42.03/13.09  																																											| (507) all_0_88_88 = e0
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (507) can reduce 181 to:
% 42.03/13.09  																																											| (889)  ~ (all_0_87_87 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (507) can reduce 93 to:
% 42.03/13.09  																																											| (904)  ~ (e4 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Simplifying 904 yields:
% 42.03/13.09  																																											| (23)  ~ (e4 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (507) can reduce 191 to:
% 42.03/13.09  																																											| (906)  ~ (e3 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Simplifying 906 yields:
% 42.03/13.09  																																											| (50)  ~ (e3 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Equations (507) can reduce 351 to:
% 42.03/13.09  																																											| (510)  ~ (e2 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											| Simplifying 510 yields:
% 42.03/13.09  																																											| (76)  ~ (e2 = e0)
% 42.03/13.09  																																											|
% 42.03/13.09  																																											+-Applying beta-rule and splitting (249), into two cases.
% 42.03/13.09  																																											|-Branch one:
% 42.03/13.09  																																											| (910) all_0_82_82 = e0
% 42.03/13.09  																																											|
% 42.03/13.09  																																												| Combining equations (789,910) yields a new equation:
% 42.03/13.09  																																												| (599) e3 = e0
% 42.03/13.09  																																												|
% 42.03/13.09  																																												| Simplifying 599 yields:
% 42.03/13.09  																																												| (600) e3 = e0
% 42.03/13.09  																																												|
% 42.03/13.09  																																												| Equations (600) can reduce 50 to:
% 42.03/13.09  																																												| (311) $false
% 42.03/13.09  																																												|
% 42.03/13.09  																																												|-The branch is then unsatisfiable
% 42.03/13.09  																																											|-Branch two:
% 42.03/13.09  																																											| (914)  ~ (all_0_82_82 = e0)
% 42.03/13.09  																																											| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 42.03/13.09  																																											|
% 42.03/13.09  																																												+-Applying beta-rule and splitting (1309), into two cases.
% 42.03/13.09  																																												|-Branch one:
% 42.03/13.09  																																												| (798) all_0_83_83 = e0
% 42.03/13.09  																																												|
% 42.03/13.09  																																													| Combining equations (453,798) yields a new equation:
% 42.06/13.09  																																													| (923) e2 = e0
% 42.06/13.09  																																													|
% 42.06/13.09  																																													| Simplifying 923 yields:
% 42.06/13.09  																																													| (379) e2 = e0
% 42.06/13.09  																																													|
% 42.06/13.09  																																													| Equations (379) can reduce 76 to:
% 42.06/13.09  																																													| (311) $false
% 42.06/13.09  																																													|
% 42.06/13.09  																																													|-The branch is then unsatisfiable
% 42.06/13.09  																																												|-Branch two:
% 42.06/13.09  																																												| (1314)  ~ (all_0_83_83 = e0)
% 42.06/13.09  																																												| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 42.06/13.09  																																												|
% 42.06/13.09  																																													| Equations (453) can reduce 1314 to:
% 42.06/13.09  																																													| (76)  ~ (e2 = e0)
% 42.06/13.09  																																													|
% 42.06/13.09  																																													+-Applying beta-rule and splitting (182), into two cases.
% 42.06/13.09  																																													|-Branch one:
% 42.06/13.09  																																													| (512) all_0_85_85 = e2
% 42.06/13.09  																																													|
% 42.06/13.09  																																														| Equations (512) can reduce 515 to:
% 42.06/13.09  																																														| (311) $false
% 42.06/13.09  																																														|
% 42.06/13.09  																																														|-The branch is then unsatisfiable
% 42.06/13.09  																																													|-Branch two:
% 42.06/13.09  																																													| (515)  ~ (all_0_85_85 = e2)
% 42.06/13.09  																																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.06/13.09  																																													|
% 42.06/13.09  																																														+-Applying beta-rule and splitting (2), into two cases.
% 42.06/13.09  																																														|-Branch one:
% 42.06/13.09  																																														| (916) all_0_84_84 = e0
% 42.06/13.09  																																														|
% 42.06/13.09  																																															| Equations (916) can reduce 154 to:
% 42.06/13.09  																																															| (799)  ~ (all_0_85_85 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Simplifying 799 yields:
% 42.06/13.09  																																															| (800)  ~ (all_0_85_85 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Equations (916) can reduce 124 to:
% 42.06/13.09  																																															| (1317)  ~ (all_0_87_87 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Simplifying 1317 yields:
% 42.06/13.09  																																															| (889)  ~ (all_0_87_87 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Equations (916) can reduce 87 to:
% 42.06/13.09  																																															| (2299)  ~ (all_0_92_92 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Simplifying 2299 yields:
% 42.06/13.09  																																															| (946)  ~ (all_0_92_92 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Equations (916) can reduce 422 to:
% 42.06/13.09  																																															| (906)  ~ (e3 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| Simplifying 906 yields:
% 42.06/13.09  																																															| (50)  ~ (e3 = e0)
% 42.06/13.09  																																															|
% 42.06/13.09  																																															| From (916) and (122) follows:
% 42.06/13.09  																																															| (1321) op(e1, e0) = all_0_62_62
% 42.06/13.09  																																															|
% 42.06/13.09  																																															+-Applying beta-rule and splitting (377), into two cases.
% 42.06/13.09  																																															|-Branch one:
% 42.06/13.09  																																															| (482) all_0_87_87 = e1
% 42.06/13.09  																																															|
% 42.06/13.09  																																																| Equations (482) can reduce 227 to:
% 42.06/13.09  																																																| (683)  ~ (e3 = e1)
% 42.06/13.09  																																																|
% 42.06/13.09  																																																| Simplifying 683 yields:
% 42.06/13.09  																																																| (20)  ~ (e3 = e1)
% 42.06/13.09  																																																|
% 42.06/13.09  																																																| Equations (482) can reduce 349 to:
% 42.06/13.09  																																																| (487)  ~ (e2 = e1)
% 42.06/13.09  																																																|
% 42.06/13.09  																																																| Simplifying 487 yields:
% 42.06/13.09  																																																| (243)  ~ (e2 = e1)
% 42.06/13.09  																																																|
% 42.06/13.09  																																																| Equations (482) can reduce 889 to:
% 42.06/13.09  																																																| (264)  ~ (e1 = e0)
% 42.06/13.09  																																																|
% 42.06/13.09  																																																| From (482) and (16) follows:
% 42.06/13.09  																																																| (489) op(e1, e1) = all_0_64_64
% 42.06/13.09  																																																|
% 42.06/13.09  																																																+-Applying beta-rule and splitting (108), into two cases.
% 42.06/13.09  																																																|-Branch one:
% 42.06/13.09  																																																| (477) all_0_81_81 = e1
% 42.06/13.09  																																																|
% 42.06/13.09  																																																	| Combining equations (477,473) yields a new equation:
% 42.06/13.09  																																																	| (385) e2 = e1
% 42.06/13.09  																																																	|
% 42.06/13.09  																																																	| Equations (385) can reduce 243 to:
% 42.06/13.09  																																																	| (311) $false
% 42.06/13.09  																																																	|
% 42.06/13.09  																																																	|-The branch is then unsatisfiable
% 42.06/13.09  																																																|-Branch two:
% 42.06/13.09  																																																| (628)  ~ (all_0_81_81 = e1)
% 42.06/13.09  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 42.06/13.09  																																																|
% 42.06/13.09  																																																	+-Applying beta-rule and splitting (132), into two cases.
% 42.06/13.09  																																																	|-Branch one:
% 42.06/13.09  																																																	| (750) all_0_90_90 = e1
% 42.06/13.09  																																																	|
% 42.06/13.09  																																																		| Combining equations (750,758) yields a new equation:
% 42.06/13.09  																																																		| (1107) e1 = e0
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																		| Simplifying 1107 yields:
% 42.06/13.09  																																																		| (865) e1 = e0
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																		| Equations (865) can reduce 264 to:
% 42.06/13.09  																																																		| (311) $false
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																		|-The branch is then unsatisfiable
% 42.06/13.09  																																																	|-Branch two:
% 42.06/13.09  																																																	| (678)  ~ (all_0_90_90 = e1)
% 42.06/13.09  																																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.06/13.09  																																																	|
% 42.06/13.09  																																																		| Equations (758) can reduce 678 to:
% 42.06/13.09  																																																		| (859)  ~ (e1 = e0)
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																		| Simplifying 859 yields:
% 42.06/13.09  																																																		| (264)  ~ (e1 = e0)
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																		+-Applying beta-rule and splitting (210), into two cases.
% 42.06/13.09  																																																		|-Branch one:
% 42.06/13.09  																																																		| (433) all_0_80_80 = e4
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																			| Combining equations (433,416) yields a new equation:
% 42.06/13.09  																																																			| (790) e4 = e3
% 42.06/13.09  																																																			|
% 42.06/13.09  																																																			| Simplifying 790 yields:
% 42.06/13.09  																																																			| (434) e4 = e3
% 42.06/13.09  																																																			|
% 42.06/13.09  																																																			| Equations (434) can reduce 177 to:
% 42.06/13.09  																																																			| (311) $false
% 42.06/13.09  																																																			|
% 42.06/13.09  																																																			|-The branch is then unsatisfiable
% 42.06/13.09  																																																		|-Branch two:
% 42.06/13.09  																																																		| (436)  ~ (all_0_80_80 = e4)
% 42.06/13.09  																																																		| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 42.06/13.09  																																																		|
% 42.06/13.09  																																																			+-Applying beta-rule and splitting (119), into two cases.
% 42.06/13.09  																																																			|-Branch one:
% 42.06/13.09  																																																			| (1343) all_0_92_92 = e2
% 42.06/13.09  																																																			|
% 42.06/13.09  																																																				| Equations (1343) can reduce 298 to:
% 42.06/13.09  																																																				| (311) $false
% 42.06/13.09  																																																				|
% 42.06/13.09  																																																				|-The branch is then unsatisfiable
% 42.06/13.09  																																																			|-Branch two:
% 42.06/13.09  																																																			| (298)  ~ (all_0_92_92 = e2)
% 42.06/13.09  																																																			| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 42.06/13.09  																																																			|
% 42.06/13.09  																																																				+-Applying beta-rule and splitting (817), into two cases.
% 42.06/13.09  																																																				|-Branch one:
% 42.06/13.09  																																																				| (504) all_0_88_88 = e1
% 42.06/13.09  																																																				|
% 42.06/13.09  																																																					| Combining equations (507,504) yields a new equation:
% 42.06/13.09  																																																					| (865) e1 = e0
% 42.06/13.09  																																																					|
% 42.06/13.09  																																																					| Equations (865) can reduce 264 to:
% 42.06/13.09  																																																					| (311) $false
% 42.06/13.09  																																																					|
% 42.06/13.09  																																																					|-The branch is then unsatisfiable
% 42.06/13.09  																																																				|-Branch two:
% 42.06/13.09  																																																				| (479)  ~ (all_0_88_88 = e1)
% 42.06/13.09  																																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 42.06/13.09  																																																				|
% 42.06/13.09  																																																					+-Applying beta-rule and splitting (472), into two cases.
% 42.06/13.09  																																																					|-Branch one:
% 42.06/13.09  																																																					| (438) all_0_84_84 = e4
% 42.06/13.09  																																																					|
% 42.06/13.09  																																																						| Combining equations (916,438) yields a new equation:
% 42.06/13.09  																																																						| (912) e4 = e0
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																						| Equations (912) can reduce 23 to:
% 42.06/13.09  																																																						| (311) $false
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																						|-The branch is then unsatisfiable
% 42.06/13.09  																																																					|-Branch two:
% 42.06/13.09  																																																					| (417)  ~ (all_0_84_84 = e4)
% 42.06/13.09  																																																					| (493) all_0_85_85 = e4
% 42.06/13.09  																																																					|
% 42.06/13.09  																																																						| Equations (493) can reduce 515 to:
% 42.06/13.09  																																																						| (79)  ~ (e4 = e2)
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																						| Equations (493) can reduce 800 to:
% 42.06/13.09  																																																						| (23)  ~ (e4 = e0)
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																						+-Applying beta-rule and splitting (46), into two cases.
% 42.06/13.09  																																																						|-Branch one:
% 42.06/13.09  																																																						| (308) all_0_89_89 = e4
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																							| Combining equations (292,308) yields a new equation:
% 42.06/13.09  																																																							| (310) e4 = e2
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																							| Equations (310) can reduce 79 to:
% 42.06/13.09  																																																							| (311) $false
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																							|-The branch is then unsatisfiable
% 42.06/13.09  																																																						|-Branch two:
% 42.06/13.09  																																																						| (312)  ~ (all_0_89_89 = e4)
% 42.06/13.09  																																																						| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.06/13.09  																																																						|
% 42.06/13.09  																																																							| Equations (292) can reduce 312 to:
% 42.06/13.09  																																																							| (528)  ~ (e4 = e2)
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																							| Simplifying 528 yields:
% 42.06/13.09  																																																							| (79)  ~ (e4 = e2)
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																							+-Applying beta-rule and splitting (437), into two cases.
% 42.06/13.09  																																																							|-Branch one:
% 42.06/13.09  																																																							| (438) all_0_84_84 = e4
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																								| Combining equations (916,438) yields a new equation:
% 42.06/13.09  																																																								| (912) e4 = e0
% 42.06/13.09  																																																								|
% 42.06/13.09  																																																								| Equations (912) can reduce 23 to:
% 42.06/13.09  																																																								| (311) $false
% 42.06/13.09  																																																								|
% 42.06/13.09  																																																								|-The branch is then unsatisfiable
% 42.06/13.09  																																																							|-Branch two:
% 42.06/13.09  																																																							| (417)  ~ (all_0_84_84 = e4)
% 42.06/13.09  																																																							| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 42.06/13.09  																																																							|
% 42.06/13.09  																																																								+-Applying beta-rule and splitting (1526), into two cases.
% 42.06/13.09  																																																								|-Branch one:
% 42.06/13.09  																																																								| (801) all_0_91_91 = e1
% 42.06/13.09  																																																								|
% 42.06/13.09  																																																									| Combining equations (588,801) yields a new equation:
% 42.06/13.09  																																																									| (825) e3 = e1
% 42.06/13.09  																																																									|
% 42.06/13.09  																																																									| Simplifying 825 yields:
% 42.06/13.09  																																																									| (772) e3 = e1
% 42.06/13.09  																																																									|
% 42.06/13.09  																																																									| Equations (772) can reduce 20 to:
% 42.06/13.09  																																																									| (311) $false
% 42.06/13.09  																																																									|
% 42.06/13.09  																																																									|-The branch is then unsatisfiable
% 42.06/13.09  																																																								|-Branch two:
% 42.06/13.09  																																																								| (959)  ~ (all_0_91_91 = e1)
% 42.06/13.09  																																																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.06/13.09  																																																								|
% 42.06/13.09  																																																									| Equations (588) can reduce 959 to:
% 42.06/13.09  																																																									| (20)  ~ (e3 = e1)
% 42.06/13.09  																																																									|
% 42.06/13.09  																																																									+-Applying beta-rule and splitting (897), into two cases.
% 42.06/13.09  																																																									|-Branch one:
% 42.06/13.09  																																																									| (566) all_0_93_93 = e1
% 42.06/13.09  																																																									|
% 42.06/13.09  																																																										| Equations (566) can reduce 602 to:
% 42.06/13.09  																																																										| (683)  ~ (e3 = e1)
% 42.06/13.09  																																																										|
% 42.06/13.09  																																																										| Simplifying 683 yields:
% 42.06/13.09  																																																										| (20)  ~ (e3 = e1)
% 42.06/13.09  																																																										|
% 42.06/13.09  																																																										| From (566) and (231) follows:
% 42.06/13.09  																																																										| (5227) op(e1, e0) = e1
% 42.06/13.09  																																																										|
% 42.06/13.09  																																																										+-Applying beta-rule and splitting (441), into two cases.
% 42.06/13.09  																																																										|-Branch one:
% 42.06/13.09  																																																										| (442) all_0_92_92 = e4
% 42.06/13.09  																																																										|
% 42.06/13.09  																																																											| Equations (442) can reduce 298 to:
% 42.06/13.09  																																																											| (79)  ~ (e4 = e2)
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																											| Equations (442) can reduce 946 to:
% 42.06/13.09  																																																											| (23)  ~ (e4 = e0)
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																											| From (442) and (135) follows:
% 42.06/13.09  																																																											| (449) op(e1, e1) = e4
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																											| Instantiating formula (262) with e1, e1, e4, all_0_64_64 and discharging atoms op(e1, e1) = all_0_64_64, op(e1, e1) = e4, yields:
% 42.06/13.09  																																																											| (575) all_0_64_64 = e4
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																											| Instantiating formula (262) with e1, e0, e1, all_0_62_62 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e1, yields:
% 42.06/13.09  																																																											| (1413) all_0_62_62 = e1
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																											+-Applying beta-rule and splitting (276), into two cases.
% 42.06/13.09  																																																											|-Branch one:
% 42.06/13.09  																																																											| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																												+-Applying beta-rule and splitting (577), into two cases.
% 42.06/13.09  																																																												|-Branch one:
% 42.06/13.09  																																																												| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.06/13.09  																																																												|
% 42.06/13.09  																																																													+-Applying beta-rule and splitting (578), into two cases.
% 42.06/13.09  																																																													|-Branch one:
% 42.06/13.09  																																																													| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																														| Applying alpha-rule on (579) yields:
% 42.06/13.09  																																																														| (580) all_0_60_60 = e4
% 42.06/13.09  																																																														| (581)  ~ (all_0_61_61 = e1)
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Combining equations (580,3457) yields a new equation:
% 42.06/13.09  																																																														| (911) e4 = e0
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Simplifying 911 yields:
% 42.06/13.09  																																																														| (912) e4 = e0
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Equations (912) can reduce 23 to:
% 42.06/13.09  																																																														| (311) $false
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														|-The branch is then unsatisfiable
% 42.06/13.09  																																																													|-Branch two:
% 42.06/13.09  																																																													| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																														| Applying alpha-rule on (585) yields:
% 42.06/13.09  																																																														| (586) all_0_62_62 = e3
% 42.06/13.09  																																																														| (587)  ~ (all_0_63_63 = e1)
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Combining equations (586,1413) yields a new equation:
% 42.06/13.09  																																																														| (825) e3 = e1
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Simplifying 825 yields:
% 42.06/13.09  																																																														| (772) e3 = e1
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														| Equations (772) can reduce 20 to:
% 42.06/13.09  																																																														| (311) $false
% 42.06/13.09  																																																														|
% 42.06/13.09  																																																														|-The branch is then unsatisfiable
% 42.06/13.09  																																																												|-Branch two:
% 42.06/13.09  																																																												| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.06/13.09  																																																												|
% 42.06/13.09  																																																													| Applying alpha-rule on (590) yields:
% 42.06/13.09  																																																													| (591) all_0_64_64 = e2
% 42.06/13.09  																																																													| (592)  ~ (all_0_65_65 = e1)
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																													| Combining equations (575,591) yields a new equation:
% 42.06/13.09  																																																													| (309) e4 = e2
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																													| Simplifying 309 yields:
% 42.06/13.09  																																																													| (310) e4 = e2
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																													| Equations (310) can reduce 79 to:
% 42.06/13.09  																																																													| (311) $false
% 42.06/13.09  																																																													|
% 42.06/13.09  																																																													|-The branch is then unsatisfiable
% 42.06/13.09  																																																											|-Branch two:
% 42.06/13.09  																																																											| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.06/13.09  																																																											|
% 42.06/13.09  																																																												| Applying alpha-rule on (596) yields:
% 42.06/13.09  																																																												| (597) all_0_67_67 = e0
% 42.06/13.10  																																																												| (598)  ~ (all_0_68_68 = e1)
% 42.06/13.10  																																																												|
% 42.06/13.10  																																																												| Combining equations (597,576) yields a new equation:
% 42.06/13.10  																																																												| (600) e3 = e0
% 42.06/13.10  																																																												|
% 42.06/13.10  																																																												| Equations (600) can reduce 50 to:
% 42.06/13.10  																																																												| (311) $false
% 42.06/13.10  																																																												|
% 42.06/13.10  																																																												|-The branch is then unsatisfiable
% 42.06/13.10  																																																										|-Branch two:
% 42.06/13.10  																																																										| (1619)  ~ (all_0_92_92 = e4)
% 42.06/13.10  																																																										| (610) all_0_97_97 = e4
% 42.06/13.10  																																																										|
% 42.06/13.10  																																																											| Combining equations (538,610) yields a new equation:
% 42.06/13.10  																																																											| (310) e4 = e2
% 42.06/13.10  																																																											|
% 42.06/13.10  																																																											| Equations (310) can reduce 79 to:
% 42.06/13.10  																																																											| (311) $false
% 42.06/13.10  																																																											|
% 42.06/13.10  																																																											|-The branch is then unsatisfiable
% 42.06/13.10  																																																									|-Branch two:
% 42.06/13.10  																																																									| (481)  ~ (all_0_93_93 = e1)
% 42.06/13.10  																																																									| (1543) all_0_98_98 = e1
% 42.06/13.10  																																																									|
% 42.06/13.10  																																																										| Combining equations (1543,969) yields a new equation:
% 42.06/13.10  																																																										| (772) e3 = e1
% 42.06/13.10  																																																										|
% 42.06/13.10  																																																										| Equations (772) can reduce 20 to:
% 42.06/13.10  																																																										| (311) $false
% 42.06/13.10  																																																										|
% 42.06/13.10  																																																										|-The branch is then unsatisfiable
% 42.06/13.10  																																															|-Branch two:
% 42.06/13.10  																																															| (625)  ~ (all_0_87_87 = e1)
% 42.06/13.10  																																															| (861) all_0_87_87 = e0
% 42.06/13.10  																																															|
% 42.06/13.10  																																																| Equations (861) can reduce 889 to:
% 42.06/13.10  																																																| (311) $false
% 42.06/13.10  																																																|
% 42.06/13.10  																																																|-The branch is then unsatisfiable
% 42.06/13.10  																																														|-Branch two:
% 42.06/13.10  																																														| (919)  ~ (all_0_84_84 = e0)
% 42.06/13.10  																																														| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.06/13.10  																																														|
% 42.06/13.10  																																															+-Applying beta-rule and splitting (920), into two cases.
% 42.06/13.10  																																															|-Branch one:
% 42.06/13.10  																																															| (861) all_0_87_87 = e0
% 42.06/13.10  																																															|
% 42.06/13.10  																																																| Equations (861) can reduce 889 to:
% 42.06/13.10  																																																| (311) $false
% 42.06/13.10  																																																|
% 42.06/13.10  																																																|-The branch is then unsatisfiable
% 42.06/13.10  																																															|-Branch two:
% 42.06/13.10  																																															| (889)  ~ (all_0_87_87 = e0)
% 42.06/13.10  																																															| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.06/13.10  																																															|
% 42.06/13.10  																																																+-Applying beta-rule and splitting (931), into two cases.
% 42.06/13.10  																																																|-Branch one:
% 42.06/13.10  																																																| (942) all_0_92_92 = e0
% 42.06/13.10  																																																|
% 42.06/13.10  																																																	| Equations (942) can reduce 946 to:
% 42.06/13.10  																																																	| (311) $false
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	|-The branch is then unsatisfiable
% 42.06/13.10  																																																|-Branch two:
% 42.06/13.10  																																																| (946)  ~ (all_0_92_92 = e0)
% 42.06/13.10  																																																| (560) all_0_97_97 = e0
% 42.06/13.10  																																																|
% 42.06/13.10  																																																	| Combining equations (538,560) yields a new equation:
% 42.06/13.10  																																																	| (923) e2 = e0
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	| Simplifying 923 yields:
% 42.06/13.10  																																																	| (379) e2 = e0
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	| Equations (379) can reduce 76 to:
% 42.06/13.10  																																																	| (311) $false
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	|-The branch is then unsatisfiable
% 42.06/13.10  																																										|-Branch two:
% 42.06/13.10  																																										| (1519)  ~ (all_0_98_98 = e3)
% 42.06/13.10  																																										| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 42.06/13.10  																																										|
% 42.06/13.10  																																											+-Applying beta-rule and splitting (5284), into two cases.
% 42.06/13.10  																																											|-Branch one:
% 42.06/13.10  																																											| (1121) all_0_98_98 = e0
% 42.06/13.10  																																											|
% 42.06/13.10  																																												| Equations (1121) can reduce 2059 to:
% 42.06/13.10  																																												| (311) $false
% 42.06/13.10  																																												|
% 42.06/13.10  																																												|-The branch is then unsatisfiable
% 42.06/13.10  																																											|-Branch two:
% 42.06/13.10  																																											| (2059)  ~ (all_0_98_98 = e0)
% 42.06/13.10  																																											| (2650) all_0_98_98 = e4
% 42.06/13.10  																																											|
% 42.06/13.10  																																												| Equations (2650) can reduce 321 to:
% 42.06/13.10  																																												| (311) $false
% 42.06/13.10  																																												|
% 42.06/13.10  																																												|-The branch is then unsatisfiable
% 42.06/13.10  																																							|-Branch two:
% 42.06/13.10  																																							| (571)  ~ (all_0_91_91 = e3)
% 42.06/13.10  																																							| (778) all_0_96_96 = e3
% 42.06/13.10  																																							|
% 42.06/13.10  																																								| Combining equations (1837,778) yields a new equation:
% 42.06/13.10  																																								| (600) e3 = e0
% 42.06/13.10  																																								|
% 42.06/13.10  																																								| Equations (600) can reduce 50 to:
% 42.06/13.10  																																								| (311) $false
% 42.06/13.10  																																								|
% 42.06/13.10  																																								|-The branch is then unsatisfiable
% 42.06/13.10  																																				|-Branch two:
% 42.06/13.10  																																				| (762)  ~ (all_0_90_90 = e0)
% 42.06/13.10  																																				| (858) all_0_95_95 = e0
% 42.06/13.10  																																				|
% 42.06/13.10  																																					| Combining equations (785,858) yields a new equation:
% 42.06/13.10  																																					| (1107) e1 = e0
% 42.06/13.10  																																					|
% 42.06/13.10  																																					| Simplifying 1107 yields:
% 42.06/13.10  																																					| (865) e1 = e0
% 42.06/13.10  																																					|
% 42.06/13.10  																																					| Equations (865) can reduce 264 to:
% 42.06/13.10  																																					| (311) $false
% 42.06/13.10  																																					|
% 42.06/13.10  																																					|-The branch is then unsatisfiable
% 42.06/13.10  																																	|-Branch two:
% 42.06/13.10  																																	| (793)  ~ (all_0_82_82 = e3)
% 42.06/13.10  																																	| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.06/13.10  																																	|
% 42.06/13.10  																																		+-Applying beta-rule and splitting (775), into two cases.
% 42.06/13.10  																																		|-Branch one:
% 42.06/13.10  																																		| (789) all_0_82_82 = e3
% 42.06/13.10  																																		|
% 42.06/13.10  																																			| Equations (789) can reduce 793 to:
% 42.06/13.10  																																			| (311) $false
% 42.06/13.10  																																			|
% 42.06/13.10  																																			|-The branch is then unsatisfiable
% 42.06/13.10  																																		|-Branch two:
% 42.06/13.10  																																		| (793)  ~ (all_0_82_82 = e3)
% 42.06/13.10  																																		| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 42.06/13.10  																																		|
% 42.06/13.10  																																			+-Applying beta-rule and splitting (794), into two cases.
% 42.06/13.10  																																			|-Branch one:
% 42.06/13.10  																																			| (754) all_0_90_90 = e3
% 42.06/13.10  																																			|
% 42.06/13.10  																																				| Equations (754) can reduce 103 to:
% 42.06/13.10  																																				| (1298)  ~ (all_0_91_91 = e3)
% 42.06/13.10  																																				|
% 42.06/13.10  																																				| Simplifying 1298 yields:
% 42.06/13.10  																																				| (571)  ~ (all_0_91_91 = e3)
% 42.06/13.10  																																				|
% 42.06/13.10  																																				| Equations (754) can reduce 294 to:
% 42.06/13.10  																																				| (169)  ~ (e3 = e2)
% 42.06/13.10  																																				|
% 42.06/13.10  																																				+-Applying beta-rule and splitting (1296), into two cases.
% 42.06/13.10  																																				|-Branch one:
% 42.06/13.10  																																				| (795) all_0_83_83 = e3
% 42.06/13.10  																																				|
% 42.06/13.10  																																					| Combining equations (795,453) yields a new equation:
% 42.06/13.10  																																					| (547) e3 = e2
% 42.06/13.10  																																					|
% 42.06/13.10  																																					| Simplifying 547 yields:
% 42.06/13.10  																																					| (548) e3 = e2
% 42.06/13.10  																																					|
% 42.06/13.10  																																					| Equations (548) can reduce 169 to:
% 42.06/13.10  																																					| (311) $false
% 42.06/13.10  																																					|
% 42.06/13.10  																																					|-The branch is then unsatisfiable
% 42.06/13.10  																																				|-Branch two:
% 42.06/13.10  																																				| (779)  ~ (all_0_83_83 = e3)
% 42.06/13.10  																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 42.06/13.10  																																				|
% 42.06/13.10  																																					+-Applying beta-rule and splitting (1726), into two cases.
% 42.06/13.10  																																					|-Branch one:
% 42.06/13.10  																																					| (801) all_0_91_91 = e1
% 42.06/13.10  																																					|
% 42.06/13.10  																																						| Equations (801) can reduce 959 to:
% 42.06/13.10  																																						| (311) $false
% 42.06/13.10  																																						|
% 42.06/13.10  																																						|-The branch is then unsatisfiable
% 42.06/13.10  																																					|-Branch two:
% 42.06/13.10  																																					| (959)  ~ (all_0_91_91 = e1)
% 42.06/13.10  																																					| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 42.06/13.10  																																					|
% 42.06/13.10  																																						+-Applying beta-rule and splitting (1594), into two cases.
% 42.06/13.10  																																						|-Branch one:
% 42.06/13.10  																																						| (1265) all_0_84_84 = e3
% 42.06/13.10  																																						|
% 42.06/13.10  																																							| Equations (1265) can reduce 422 to:
% 42.06/13.10  																																							| (311) $false
% 42.06/13.10  																																							|
% 42.06/13.10  																																							|-The branch is then unsatisfiable
% 42.06/13.10  																																						|-Branch two:
% 42.06/13.10  																																						| (422)  ~ (all_0_84_84 = e3)
% 42.06/13.10  																																						| (804) all_0_85_85 = e3
% 42.06/13.10  																																						|
% 42.06/13.10  																																							| Equations (804) can reduce 154 to:
% 42.06/13.10  																																							| (422)  ~ (all_0_84_84 = e3)
% 42.06/13.10  																																							|
% 42.06/13.10  																																							| Equations (804) can reduce 128 to:
% 42.06/13.10  																																							| (20)  ~ (e3 = e1)
% 42.06/13.10  																																							|
% 42.06/13.10  																																							+-Applying beta-rule and splitting (48), into two cases.
% 42.06/13.10  																																							|-Branch one:
% 42.06/13.10  																																							| (525) all_0_98_98 = e2
% 42.06/13.10  																																							|
% 42.06/13.10  																																								| Equations (525) can reduce 1349 to:
% 42.06/13.10  																																								| (311) $false
% 42.06/13.10  																																								|
% 42.06/13.10  																																								|-The branch is then unsatisfiable
% 42.06/13.10  																																							|-Branch two:
% 42.06/13.10  																																							| (1349)  ~ (all_0_98_98 = e2)
% 42.06/13.10  																																							| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 42.06/13.10  																																							|
% 42.06/13.10  																																								+-Applying beta-rule and splitting (617), into two cases.
% 42.06/13.10  																																								|-Branch one:
% 42.06/13.10  																																								| (1265) all_0_84_84 = e3
% 42.06/13.10  																																								|
% 42.06/13.10  																																									| Equations (1265) can reduce 422 to:
% 42.06/13.10  																																									| (311) $false
% 42.06/13.10  																																									|
% 42.06/13.10  																																									|-The branch is then unsatisfiable
% 42.06/13.10  																																								|-Branch two:
% 42.06/13.10  																																								| (422)  ~ (all_0_84_84 = e3)
% 42.06/13.10  																																								| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.06/13.10  																																								|
% 42.06/13.10  																																									+-Applying beta-rule and splitting (270), into two cases.
% 42.06/13.10  																																									|-Branch one:
% 42.06/13.10  																																									| (744) all_0_95_95 = e3
% 42.06/13.10  																																									|
% 42.06/13.10  																																										| Combining equations (785,744) yields a new equation:
% 42.06/13.10  																																										| (772) e3 = e1
% 42.06/13.10  																																										|
% 42.06/13.10  																																										| Equations (772) can reduce 20 to:
% 42.06/13.10  																																										| (311) $false
% 42.06/13.10  																																										|
% 42.06/13.10  																																										|-The branch is then unsatisfiable
% 42.06/13.10  																																									|-Branch two:
% 42.06/13.10  																																									| (765)  ~ (all_0_95_95 = e3)
% 42.06/13.10  																																									| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.06/13.10  																																									|
% 42.06/13.10  																																										+-Applying beta-rule and splitting (766), into two cases.
% 42.06/13.10  																																										|-Branch one:
% 42.06/13.10  																																										| (778) all_0_96_96 = e3
% 42.06/13.10  																																										|
% 42.06/13.10  																																											| Equations (778) can reduce 43 to:
% 42.06/13.10  																																											| (1518)  ~ (all_0_98_98 = e3)
% 42.06/13.10  																																											|
% 42.06/13.10  																																											| Simplifying 1518 yields:
% 42.06/13.10  																																											| (1519)  ~ (all_0_98_98 = e3)
% 42.06/13.10  																																											|
% 42.06/13.10  																																											| Equations (778) can reduce 115 to:
% 42.06/13.10  																																											| (783)  ~ (e4 = e3)
% 42.06/13.10  																																											|
% 42.06/13.10  																																											| Simplifying 783 yields:
% 42.06/13.10  																																											| (177)  ~ (e4 = e3)
% 42.06/13.10  																																											|
% 42.06/13.10  																																											| From (778) and (4960) follows:
% 42.06/13.10  																																											| (5343) op(e2, e3) = e0
% 42.06/13.10  																																											|
% 42.06/13.10  																																											+-Applying beta-rule and splitting (472), into two cases.
% 42.06/13.10  																																											|-Branch one:
% 42.06/13.10  																																											| (438) all_0_84_84 = e4
% 42.06/13.10  																																											|
% 42.06/13.10  																																												| Equations (438) can reduce 87 to:
% 42.06/13.10  																																												| (1906)  ~ (all_0_92_92 = e4)
% 42.06/13.10  																																												|
% 42.06/13.10  																																												| Simplifying 1906 yields:
% 42.06/13.10  																																												| (1619)  ~ (all_0_92_92 = e4)
% 42.06/13.10  																																												|
% 42.06/13.10  																																												| Equations (438) can reduce 422 to:
% 42.06/13.10  																																												| (177)  ~ (e4 = e3)
% 42.06/13.10  																																												|
% 42.06/13.10  																																												| Equations (438) can reduce 612 to:
% 42.06/13.10  																																												| (79)  ~ (e4 = e2)
% 42.06/13.10  																																												|
% 42.06/13.10  																																												| Equations (438) can reduce 259 to:
% 42.06/13.10  																																												| (256)  ~ (e4 = e1)
% 42.06/13.10  																																												|
% 42.06/13.10  																																												+-Applying beta-rule and splitting (46), into two cases.
% 42.06/13.10  																																												|-Branch one:
% 42.06/13.10  																																												| (308) all_0_89_89 = e4
% 42.06/13.10  																																												|
% 42.06/13.10  																																													| Combining equations (292,308) yields a new equation:
% 42.06/13.10  																																													| (310) e4 = e2
% 42.06/13.10  																																													|
% 42.06/13.10  																																													| Equations (310) can reduce 79 to:
% 42.06/13.10  																																													| (311) $false
% 42.06/13.10  																																													|
% 42.06/13.10  																																													|-The branch is then unsatisfiable
% 42.06/13.10  																																												|-Branch two:
% 42.06/13.10  																																												| (312)  ~ (all_0_89_89 = e4)
% 42.06/13.10  																																												| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.06/13.10  																																												|
% 42.06/13.10  																																													+-Applying beta-rule and splitting (1915), into two cases.
% 42.06/13.10  																																													|-Branch one:
% 42.06/13.10  																																													| (583) all_0_90_90 = e4
% 42.06/13.10  																																													|
% 42.06/13.10  																																														| Combining equations (583,754) yields a new equation:
% 42.06/13.10  																																														| (790) e4 = e3
% 42.06/13.10  																																														|
% 42.06/13.10  																																														| Simplifying 790 yields:
% 42.06/13.10  																																														| (434) e4 = e3
% 42.06/13.10  																																														|
% 42.06/13.10  																																														| Equations (434) can reduce 177 to:
% 42.06/13.10  																																														| (311) $false
% 42.06/13.10  																																														|
% 42.06/13.10  																																														|-The branch is then unsatisfiable
% 42.06/13.10  																																													|-Branch two:
% 42.06/13.10  																																													| (467)  ~ (all_0_90_90 = e4)
% 42.06/13.10  																																													| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.06/13.10  																																													|
% 42.06/13.10  																																														+-Applying beta-rule and splitting (1928), into two cases.
% 42.06/13.10  																																														|-Branch one:
% 42.06/13.10  																																														| (442) all_0_92_92 = e4
% 42.06/13.10  																																														|
% 42.06/13.10  																																															| Equations (442) can reduce 1619 to:
% 42.06/13.10  																																															| (311) $false
% 42.06/13.10  																																															|
% 42.06/13.10  																																															|-The branch is then unsatisfiable
% 42.06/13.10  																																														|-Branch two:
% 42.06/13.10  																																														| (1619)  ~ (all_0_92_92 = e4)
% 42.06/13.10  																																														| (607) all_0_93_93 = e4
% 42.06/13.10  																																														|
% 42.06/13.10  																																															| Equations (607) can reduce 13 to:
% 42.06/13.10  																																															| (320)  ~ (all_0_98_98 = e4)
% 42.06/13.10  																																															|
% 42.06/13.10  																																															| Simplifying 320 yields:
% 42.06/13.10  																																															| (321)  ~ (all_0_98_98 = e4)
% 42.06/13.10  																																															|
% 42.06/13.10  																																															+-Applying beta-rule and splitting (108), into two cases.
% 42.06/13.10  																																															|-Branch one:
% 42.06/13.10  																																															| (477) all_0_81_81 = e1
% 42.06/13.10  																																															|
% 42.06/13.10  																																																| Combining equations (477,473) yields a new equation:
% 42.06/13.10  																																																| (385) e2 = e1
% 42.06/13.10  																																																|
% 42.06/13.10  																																																| Equations (385) can reduce 243 to:
% 42.06/13.10  																																																| (311) $false
% 42.06/13.10  																																																|
% 42.06/13.10  																																																|-The branch is then unsatisfiable
% 42.06/13.10  																																															|-Branch two:
% 42.06/13.10  																																															| (628)  ~ (all_0_81_81 = e1)
% 42.06/13.10  																																															| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 42.06/13.10  																																															|
% 42.06/13.10  																																																+-Applying beta-rule and splitting (817), into two cases.
% 42.06/13.10  																																																|-Branch one:
% 42.06/13.10  																																																| (504) all_0_88_88 = e1
% 42.06/13.10  																																																|
% 42.06/13.10  																																																	| Equations (504) can reduce 31 to:
% 42.06/13.10  																																																	| (1803)  ~ (all_0_98_98 = e1)
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	| Simplifying 1803 yields:
% 42.06/13.10  																																																	| (1804)  ~ (all_0_98_98 = e1)
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																	+-Applying beta-rule and splitting (5118), into two cases.
% 42.06/13.10  																																																	|-Branch one:
% 42.06/13.10  																																																	| (1543) all_0_98_98 = e1
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																		| Equations (1543) can reduce 1804 to:
% 42.06/13.10  																																																		| (311) $false
% 42.06/13.10  																																																		|
% 42.06/13.10  																																																		|-The branch is then unsatisfiable
% 42.06/13.10  																																																	|-Branch two:
% 42.06/13.10  																																																	| (1804)  ~ (all_0_98_98 = e1)
% 42.06/13.10  																																																	| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 42.06/13.10  																																																	|
% 42.06/13.10  																																																		+-Applying beta-rule and splitting (5122), into two cases.
% 42.06/13.10  																																																		|-Branch one:
% 42.06/13.10  																																																		| (969) all_0_98_98 = e3
% 42.06/13.10  																																																		|
% 42.06/13.10  																																																			| Equations (969) can reduce 1519 to:
% 42.06/13.10  																																																			| (311) $false
% 42.06/13.10  																																																			|
% 42.06/13.10  																																																			|-The branch is then unsatisfiable
% 42.06/13.10  																																																		|-Branch two:
% 42.06/13.10  																																																		| (1519)  ~ (all_0_98_98 = e3)
% 42.06/13.10  																																																		| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 42.06/13.10  																																																		|
% 42.06/13.10  																																																			+-Applying beta-rule and splitting (5284), into two cases.
% 42.06/13.10  																																																			|-Branch one:
% 42.06/13.10  																																																			| (1121) all_0_98_98 = e0
% 42.06/13.10  																																																			|
% 42.06/13.10  																																																				| Equations (1121) can reduce 1349 to:
% 42.06/13.10  																																																				| (510)  ~ (e2 = e0)
% 42.06/13.10  																																																				|
% 42.06/13.10  																																																				| Simplifying 510 yields:
% 42.06/13.10  																																																				| (76)  ~ (e2 = e0)
% 42.06/13.10  																																																				|
% 42.06/13.10  																																																				| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.06/13.10  																																																				| (379) e2 = e0
% 42.06/13.10  																																																				|
% 42.06/13.10  																																																				| Equations (379) can reduce 76 to:
% 42.06/13.10  																																																				| (311) $false
% 42.06/13.10  																																																				|
% 42.06/13.10  																																																				|-The branch is then unsatisfiable
% 42.06/13.10  																																																			|-Branch two:
% 42.06/13.10  																																																			| (2059)  ~ (all_0_98_98 = e0)
% 42.06/13.10  																																																			| (2650) all_0_98_98 = e4
% 42.06/13.10  																																																			|
% 42.06/13.10  																																																				| Equations (2650) can reduce 321 to:
% 42.06/13.10  																																																				| (311) $false
% 42.06/13.10  																																																				|
% 42.06/13.10  																																																				|-The branch is then unsatisfiable
% 42.06/13.11  																																																|-Branch two:
% 42.06/13.11  																																																| (479)  ~ (all_0_88_88 = e1)
% 42.06/13.11  																																																| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 42.06/13.11  																																																|
% 42.06/13.11  																																																	+-Applying beta-rule and splitting (897), into two cases.
% 42.06/13.11  																																																	|-Branch one:
% 42.06/13.11  																																																	| (566) all_0_93_93 = e1
% 42.06/13.11  																																																	|
% 42.06/13.11  																																																		| Combining equations (566,607) yields a new equation:
% 42.06/13.11  																																																		| (814) e4 = e1
% 42.06/13.11  																																																		|
% 42.06/13.11  																																																		| Equations (814) can reduce 256 to:
% 42.06/13.11  																																																		| (311) $false
% 42.06/13.11  																																																		|
% 42.06/13.11  																																																		|-The branch is then unsatisfiable
% 42.06/13.11  																																																	|-Branch two:
% 42.06/13.11  																																																	| (481)  ~ (all_0_93_93 = e1)
% 42.06/13.11  																																																	| (1543) all_0_98_98 = e1
% 42.06/13.11  																																																	|
% 42.06/13.11  																																																		| Equations (1543) can reduce 1804 to:
% 42.06/13.11  																																																		| (311) $false
% 42.06/13.11  																																																		|
% 42.06/13.11  																																																		|-The branch is then unsatisfiable
% 42.06/13.11  																																											|-Branch two:
% 42.06/13.11  																																											| (417)  ~ (all_0_84_84 = e4)
% 42.06/13.11  																																											| (493) all_0_85_85 = e4
% 42.06/13.11  																																											|
% 42.06/13.11  																																												| Combining equations (804,493) yields a new equation:
% 42.06/13.11  																																												| (434) e4 = e3
% 42.06/13.11  																																												|
% 42.06/13.11  																																												| Equations (434) can reduce 177 to:
% 42.06/13.11  																																												| (311) $false
% 42.06/13.11  																																												|
% 42.06/13.11  																																												|-The branch is then unsatisfiable
% 42.06/13.11  																																										|-Branch two:
% 42.06/13.11  																																										| (964)  ~ (all_0_96_96 = e3)
% 42.06/13.11  																																										| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.06/13.11  																																										|
% 42.06/13.11  																																											+-Applying beta-rule and splitting (1707), into two cases.
% 42.06/13.11  																																											|-Branch one:
% 42.06/13.11  																																											| (960) all_0_96_96 = e1
% 42.06/13.11  																																											|
% 42.06/13.11  																																												| Equations (960) can reduce 1479 to:
% 42.06/13.11  																																												| (311) $false
% 42.06/13.11  																																												|
% 42.06/13.11  																																												|-The branch is then unsatisfiable
% 42.06/13.11  																																											|-Branch two:
% 42.06/13.11  																																											| (1479)  ~ (all_0_96_96 = e1)
% 42.06/13.11  																																											| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 42.12/13.11  																																											|
% 42.12/13.11  																																												+-Applying beta-rule and splitting (2016), into two cases.
% 42.12/13.11  																																												|-Branch one:
% 42.12/13.11  																																												| (778) all_0_96_96 = e3
% 42.12/13.11  																																												|
% 42.12/13.11  																																													| Equations (778) can reduce 964 to:
% 42.12/13.11  																																													| (311) $false
% 42.12/13.11  																																													|
% 42.12/13.11  																																													|-The branch is then unsatisfiable
% 42.12/13.11  																																												|-Branch two:
% 42.12/13.11  																																												| (964)  ~ (all_0_96_96 = e3)
% 42.12/13.11  																																												| (1837) all_0_96_96 = e0
% 42.12/13.11  																																												|
% 42.12/13.11  																																													| Equations (1837) can reduce 64 to:
% 42.12/13.11  																																													| (1487)  ~ (all_0_91_91 = e0)
% 42.12/13.11  																																													|
% 42.12/13.11  																																													+-Applying beta-rule and splitting (1880), into two cases.
% 42.12/13.11  																																													|-Branch one:
% 42.12/13.11  																																													| (588) all_0_91_91 = e3
% 42.12/13.11  																																													|
% 42.12/13.11  																																														| Equations (588) can reduce 571 to:
% 42.12/13.11  																																														| (311) $false
% 42.12/13.11  																																														|
% 42.12/13.11  																																														|-The branch is then unsatisfiable
% 42.12/13.11  																																													|-Branch two:
% 42.12/13.11  																																													| (571)  ~ (all_0_91_91 = e3)
% 42.12/13.11  																																													| (1456) all_0_91_91 = e0
% 42.12/13.11  																																													|
% 42.12/13.11  																																														| Equations (1456) can reduce 1487 to:
% 42.12/13.11  																																														| (311) $false
% 42.12/13.11  																																														|
% 42.12/13.11  																																														|-The branch is then unsatisfiable
% 42.12/13.11  																																			|-Branch two:
% 42.12/13.11  																																			| (745)  ~ (all_0_90_90 = e3)
% 42.12/13.11  																																			| (744) all_0_95_95 = e3
% 42.12/13.11  																																			|
% 42.12/13.11  																																				| Combining equations (785,744) yields a new equation:
% 42.12/13.11  																																				| (772) e3 = e1
% 42.12/13.11  																																				|
% 42.12/13.11  																																				| Equations (772) can reduce 20 to:
% 42.12/13.11  																																				| (311) $false
% 42.12/13.11  																																				|
% 42.12/13.11  																																				|-The branch is then unsatisfiable
% 42.12/13.11  																															|-Branch two:
% 42.12/13.11  																															| (680)  ~ (all_0_95_95 = e1)
% 42.12/13.11  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.12/13.11  																															|
% 42.12/13.11  																																+-Applying beta-rule and splitting (1718), into two cases.
% 42.12/13.11  																																|-Branch one:
% 42.12/13.11  																																| (384) all_0_86_86 = e1
% 42.12/13.11  																																|
% 42.12/13.11  																																	| Combining equations (345,384) yields a new equation:
% 42.12/13.11  																																	| (408) e2 = e1
% 42.12/13.11  																																	|
% 42.12/13.11  																																	| Simplifying 408 yields:
% 42.12/13.11  																																	| (385) e2 = e1
% 42.12/13.11  																																	|
% 42.12/13.11  																																	| Equations (385) can reduce 243 to:
% 42.12/13.11  																																	| (311) $false
% 42.12/13.11  																																	|
% 42.12/13.11  																																	|-The branch is then unsatisfiable
% 42.12/13.11  																																|-Branch two:
% 42.12/13.11  																																| (387)  ~ (all_0_86_86 = e1)
% 42.12/13.11  																																| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 42.12/13.11  																																|
% 42.12/13.11  																																	+-Applying beta-rule and splitting (788), into two cases.
% 42.12/13.11  																																	|-Branch one:
% 42.12/13.11  																																	| (960) all_0_96_96 = e1
% 42.12/13.11  																																	|
% 42.12/13.11  																																		| Equations (960) can reduce 1479 to:
% 42.12/13.11  																																		| (311) $false
% 42.12/13.11  																																		|
% 42.12/13.11  																																		|-The branch is then unsatisfiable
% 42.12/13.11  																																	|-Branch two:
% 42.12/13.11  																																	| (1479)  ~ (all_0_96_96 = e1)
% 42.12/13.11  																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.12/13.11  																																	|
% 42.12/13.11  																																		+-Applying beta-rule and splitting (2122), into two cases.
% 42.12/13.11  																																		|-Branch one:
% 42.12/13.11  																																		| (750) all_0_90_90 = e1
% 42.12/13.11  																																		|
% 42.12/13.11  																																			| Combining equations (750,451) yields a new equation:
% 42.12/13.11  																																			| (5436) all_0_60_60 = e1
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Equations (750) can reduce 255 to:
% 42.12/13.11  																																			| (198)  ~ (all_0_82_82 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Equations (750) can reduce 103 to:
% 42.12/13.11  																																			| (1669)  ~ (all_0_91_91 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Simplifying 1669 yields:
% 42.12/13.11  																																			| (959)  ~ (all_0_91_91 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Equations (750) can reduce 72 to:
% 42.12/13.11  																																			| (2131)  ~ (all_0_92_92 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Simplifying 2131 yields:
% 42.12/13.11  																																			| (840)  ~ (all_0_92_92 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Equations (750) can reduce 294 to:
% 42.12/13.11  																																			| (487)  ~ (e2 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			| Simplifying 487 yields:
% 42.12/13.11  																																			| (243)  ~ (e2 = e1)
% 42.12/13.11  																																			|
% 42.12/13.11  																																			+-Applying beta-rule and splitting (151), into two cases.
% 42.12/13.11  																																			|-Branch one:
% 42.12/13.11  																																			| (824) all_0_80_80 = e1
% 42.12/13.11  																																			|
% 42.12/13.11  																																				| Combining equations (416,824) yields a new equation:
% 42.12/13.11  																																				| (825) e3 = e1
% 42.12/13.11  																																				|
% 42.12/13.11  																																				| Simplifying 825 yields:
% 42.12/13.11  																																				| (772) e3 = e1
% 42.12/13.11  																																				|
% 42.12/13.11  																																				| Equations (772) can reduce 20 to:
% 42.12/13.11  																																				| (311) $false
% 42.12/13.11  																																				|
% 42.12/13.11  																																				|-The branch is then unsatisfiable
% 42.12/13.11  																																			|-Branch two:
% 42.12/13.11  																																			| (828)  ~ (all_0_80_80 = e1)
% 42.12/13.11  																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.12/13.11  																																			|
% 42.12/13.11  																																				+-Applying beta-rule and splitting (2126), into two cases.
% 42.12/13.11  																																				|-Branch one:
% 42.12/13.11  																																				| (542) all_0_97_97 = e1
% 42.12/13.11  																																				|
% 42.12/13.11  																																					| Combining equations (538,542) yields a new equation:
% 42.12/13.11  																																					| (408) e2 = e1
% 42.12/13.11  																																					|
% 42.12/13.11  																																					| Simplifying 408 yields:
% 42.12/13.11  																																					| (385) e2 = e1
% 42.12/13.11  																																					|
% 42.12/13.11  																																					| Equations (385) can reduce 243 to:
% 42.12/13.11  																																					| (311) $false
% 42.12/13.11  																																					|
% 42.12/13.11  																																					|-The branch is then unsatisfiable
% 42.12/13.11  																																				|-Branch two:
% 42.12/13.11  																																				| (486)  ~ (all_0_97_97 = e1)
% 42.12/13.11  																																				| (1543) all_0_98_98 = e1
% 42.12/13.11  																																				|
% 42.12/13.11  																																					| Equations (1543) can reduce 75 to:
% 42.12/13.11  																																					| (128)  ~ (all_0_85_85 = e1)
% 42.12/13.11  																																					|
% 42.12/13.11  																																					| Equations (1543) can reduce 107 to:
% 42.12/13.11  																																					| (680)  ~ (all_0_95_95 = e1)
% 42.12/13.11  																																					|
% 42.12/13.11  																																					| Equations (1543) can reduce 1349 to:
% 42.12/13.11  																																					| (487)  ~ (e2 = e1)
% 42.12/13.11  																																					|
% 42.12/13.11  																																					| Simplifying 487 yields:
% 42.12/13.11  																																					| (243)  ~ (e2 = e1)
% 42.12/13.11  																																					|
% 42.12/13.11  																																					+-Applying beta-rule and splitting (829), into two cases.
% 42.12/13.11  																																					|-Branch one:
% 42.12/13.11  																																					| (482) all_0_87_87 = e1
% 42.12/13.11  																																					|
% 42.12/13.11  																																						| Equations (482) can reduce 181 to:
% 42.12/13.11  																																						| (478)  ~ (all_0_88_88 = e1)
% 42.12/13.11  																																						|
% 42.12/13.11  																																						| Simplifying 478 yields:
% 42.12/13.11  																																						| (479)  ~ (all_0_88_88 = e1)
% 42.12/13.11  																																						|
% 42.12/13.11  																																						| Equations (482) can reduce 216 to:
% 42.12/13.11  																																						| (681)  ~ (e4 = e1)
% 42.12/13.11  																																						|
% 42.12/13.11  																																						| Simplifying 681 yields:
% 42.12/13.11  																																						| (256)  ~ (e4 = e1)
% 42.12/13.11  																																						|
% 42.12/13.11  																																						| From (482) and (16) follows:
% 42.12/13.11  																																						| (489) op(e1, e1) = all_0_64_64
% 42.12/13.11  																																						|
% 42.12/13.11  																																						+-Applying beta-rule and splitting (382), into two cases.
% 42.12/13.11  																																						|-Branch one:
% 42.12/13.11  																																						| (861) all_0_87_87 = e0
% 42.12/13.11  																																						|
% 42.12/13.11  																																							| Combining equations (482,861) yields a new equation:
% 42.12/13.11  																																							| (1107) e1 = e0
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Simplifying 1107 yields:
% 42.12/13.11  																																							| (865) e1 = e0
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Equations (865) can reduce 264 to:
% 42.12/13.11  																																							| (311) $false
% 42.12/13.11  																																							|
% 42.12/13.11  																																							|-The branch is then unsatisfiable
% 42.12/13.11  																																						|-Branch two:
% 42.12/13.11  																																						| (889)  ~ (all_0_87_87 = e0)
% 42.12/13.11  																																						| (507) all_0_88_88 = e0
% 42.12/13.11  																																						|
% 42.12/13.11  																																							| Equations (507) can reduce 191 to:
% 42.12/13.11  																																							| (906)  ~ (e3 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Simplifying 906 yields:
% 42.12/13.11  																																							| (50)  ~ (e3 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Equations (507) can reduce 351 to:
% 42.12/13.11  																																							| (510)  ~ (e2 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Simplifying 510 yields:
% 42.12/13.11  																																							| (76)  ~ (e2 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Equations (507) can reduce 479 to:
% 42.12/13.11  																																							| (859)  ~ (e1 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Simplifying 859 yields:
% 42.12/13.11  																																							| (264)  ~ (e1 = e0)
% 42.12/13.11  																																							|
% 42.12/13.11  																																							| Instantiating formula (262) with e1, e1, all_0_64_64, all_0_92_92 and discharging atoms op(e1, e1) = all_0_64_64, op(e1, e1) = all_0_92_92, yields:
% 42.12/13.11  																																							| (5478) all_0_64_64 = all_0_92_92
% 42.12/13.11  																																							|
% 42.12/13.11  																																							+-Applying beta-rule and splitting (291), into two cases.
% 42.12/13.11  																																							|-Branch one:
% 42.12/13.11  																																							| (758) all_0_90_90 = e0
% 42.12/13.11  																																							|
% 42.12/13.11  																																								| Combining equations (750,758) yields a new equation:
% 42.12/13.11  																																								| (1107) e1 = e0
% 42.12/13.11  																																								|
% 42.12/13.11  																																								| Simplifying 1107 yields:
% 42.12/13.11  																																								| (865) e1 = e0
% 42.12/13.11  																																								|
% 42.12/13.11  																																								| Equations (865) can reduce 264 to:
% 42.12/13.11  																																								| (311) $false
% 42.12/13.11  																																								|
% 42.12/13.11  																																								|-The branch is then unsatisfiable
% 42.12/13.11  																																							|-Branch two:
% 42.12/13.11  																																							| (762)  ~ (all_0_90_90 = e0)
% 42.12/13.11  																																							| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.12/13.11  																																							|
% 42.12/13.11  																																								| Equations (750) can reduce 762 to:
% 42.12/13.11  																																								| (264)  ~ (e1 = e0)
% 42.12/13.11  																																								|
% 42.12/13.11  																																								+-Applying beta-rule and splitting (270), into two cases.
% 42.12/13.11  																																								|-Branch one:
% 42.12/13.11  																																								| (744) all_0_95_95 = e3
% 42.12/13.11  																																								|
% 42.12/13.11  																																									| Equations (744) can reduce 200 to:
% 42.12/13.11  																																									| (793)  ~ (all_0_82_82 = e3)
% 42.12/13.11  																																									|
% 42.12/13.11  																																									| Equations (744) can reduce 279 to:
% 42.12/13.11  																																									| (1300)  ~ (all_0_96_96 = e3)
% 42.12/13.11  																																									|
% 42.12/13.11  																																									| Simplifying 1300 yields:
% 42.12/13.11  																																									| (964)  ~ (all_0_96_96 = e3)
% 42.12/13.11  																																									|
% 42.12/13.11  																																									| Equations (744) can reduce 355 to:
% 42.12/13.11  																																									| (169)  ~ (e3 = e2)
% 42.12/13.11  																																									|
% 42.12/13.11  																																									+-Applying beta-rule and splitting (1712), into two cases.
% 42.12/13.11  																																									|-Branch one:
% 42.12/13.11  																																									| (795) all_0_83_83 = e3
% 42.12/13.11  																																									|
% 42.12/13.11  																																										| Combining equations (453,795) yields a new equation:
% 42.12/13.11  																																										| (548) e3 = e2
% 42.12/13.11  																																										|
% 42.12/13.11  																																										| Equations (548) can reduce 169 to:
% 42.12/13.11  																																										| (311) $false
% 42.12/13.11  																																										|
% 42.12/13.11  																																										|-The branch is then unsatisfiable
% 42.12/13.11  																																									|-Branch two:
% 42.12/13.11  																																									| (779)  ~ (all_0_83_83 = e3)
% 42.12/13.11  																																									| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.12/13.11  																																									|
% 42.12/13.11  																																										| Equations (453) can reduce 779 to:
% 42.12/13.11  																																										| (356)  ~ (e3 = e2)
% 42.12/13.11  																																										|
% 42.12/13.11  																																										| Simplifying 356 yields:
% 42.12/13.11  																																										| (169)  ~ (e3 = e2)
% 42.12/13.11  																																										|
% 42.12/13.11  																																										+-Applying beta-rule and splitting (102), into two cases.
% 42.12/13.11  																																										|-Branch one:
% 42.12/13.11  																																										| (858) all_0_95_95 = e0
% 42.12/13.11  																																										|
% 42.12/13.11  																																											| Combining equations (858,744) yields a new equation:
% 42.12/13.11  																																											| (600) e3 = e0
% 42.12/13.11  																																											|
% 42.12/13.11  																																											| Equations (600) can reduce 50 to:
% 42.12/13.11  																																											| (311) $false
% 42.12/13.11  																																											|
% 42.12/13.11  																																											|-The branch is then unsatisfiable
% 42.12/13.11  																																										|-Branch two:
% 42.12/13.11  																																										| (893)  ~ (all_0_95_95 = e0)
% 42.12/13.11  																																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.12/13.11  																																										|
% 42.12/13.11  																																											| Equations (744) can reduce 893 to:
% 42.12/13.11  																																											| (50)  ~ (e3 = e0)
% 42.12/13.11  																																											|
% 42.12/13.11  																																											+-Applying beta-rule and splitting (171), into two cases.
% 42.12/13.11  																																											|-Branch one:
% 42.12/13.11  																																											| (789) all_0_82_82 = e3
% 42.12/13.11  																																											|
% 42.12/13.11  																																												| Equations (789) can reduce 793 to:
% 42.12/13.11  																																												| (311) $false
% 42.12/13.11  																																												|
% 42.12/13.11  																																												|-The branch is then unsatisfiable
% 42.12/13.11  																																											|-Branch two:
% 42.12/13.11  																																											| (793)  ~ (all_0_82_82 = e3)
% 42.12/13.11  																																											| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.12/13.11  																																											|
% 42.12/13.11  																																												+-Applying beta-rule and splitting (10), into two cases.
% 42.12/13.11  																																												|-Branch one:
% 42.12/13.11  																																												| (530) all_0_82_82 = e2
% 42.12/13.11  																																												|
% 42.12/13.11  																																													| Equations (530) can reduce 347 to:
% 42.12/13.11  																																													| (311) $false
% 42.12/13.11  																																													|
% 42.12/13.11  																																													|-The branch is then unsatisfiable
% 42.12/13.11  																																												|-Branch two:
% 42.12/13.11  																																												| (347)  ~ (all_0_82_82 = e2)
% 42.12/13.11  																																												| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 42.12/13.11  																																												|
% 42.12/13.11  																																													+-Applying beta-rule and splitting (254), into two cases.
% 42.12/13.11  																																													|-Branch one:
% 42.12/13.11  																																													| (910) all_0_82_82 = e0
% 42.12/13.11  																																													|
% 42.12/13.11  																																														| Equations (910) can reduce 7 to:
% 42.12/13.11  																																														| (2207)  ~ (all_0_84_84 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														| Simplifying 2207 yields:
% 42.12/13.11  																																														| (919)  ~ (all_0_84_84 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														| Equations (910) can reduce 347 to:
% 42.12/13.11  																																														| (510)  ~ (e2 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														| Simplifying 510 yields:
% 42.12/13.11  																																														| (76)  ~ (e2 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														| Equations (910) can reduce 198 to:
% 42.12/13.11  																																														| (859)  ~ (e1 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														| Simplifying 859 yields:
% 42.12/13.11  																																														| (264)  ~ (e1 = e0)
% 42.12/13.11  																																														|
% 42.12/13.11  																																														+-Applying beta-rule and splitting (1296), into two cases.
% 42.12/13.11  																																														|-Branch one:
% 42.12/13.11  																																														| (795) all_0_83_83 = e3
% 42.12/13.11  																																														|
% 42.12/13.11  																																															| Combining equations (453,795) yields a new equation:
% 42.12/13.11  																																															| (548) e3 = e2
% 42.12/13.11  																																															|
% 42.12/13.11  																																															| Equations (548) can reduce 169 to:
% 42.12/13.11  																																															| (311) $false
% 42.12/13.11  																																															|
% 42.12/13.11  																																															|-The branch is then unsatisfiable
% 42.12/13.11  																																														|-Branch two:
% 42.12/13.11  																																														| (779)  ~ (all_0_83_83 = e3)
% 42.12/13.11  																																														| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 42.12/13.11  																																														|
% 42.12/13.11  																																															+-Applying beta-rule and splitting (1594), into two cases.
% 42.12/13.11  																																															|-Branch one:
% 42.12/13.11  																																															| (1265) all_0_84_84 = e3
% 42.12/13.11  																																															|
% 42.12/13.11  																																																| Equations (1265) can reduce 422 to:
% 42.12/13.11  																																																| (311) $false
% 42.12/13.11  																																																|
% 42.12/13.11  																																																|-The branch is then unsatisfiable
% 42.12/13.11  																																															|-Branch two:
% 42.12/13.11  																																															| (422)  ~ (all_0_84_84 = e3)
% 42.12/13.11  																																															| (804) all_0_85_85 = e3
% 42.12/13.11  																																															|
% 42.12/13.11  																																																| Equations (804) can reduce 154 to:
% 42.12/13.11  																																																| (422)  ~ (all_0_84_84 = e3)
% 42.12/13.11  																																																|
% 42.12/13.11  																																																| Equations (804) can reduce 128 to:
% 42.12/13.11  																																																| (20)  ~ (e3 = e1)
% 42.12/13.11  																																																|
% 42.12/13.11  																																																+-Applying beta-rule and splitting (282), into two cases.
% 42.12/13.11  																																																|-Branch one:
% 42.12/13.11  																																																| (754) all_0_90_90 = e3
% 42.12/13.11  																																																|
% 42.12/13.11  																																																	| Combining equations (754,750) yields a new equation:
% 42.12/13.11  																																																	| (825) e3 = e1
% 42.12/13.11  																																																	|
% 42.12/13.11  																																																	| Simplifying 825 yields:
% 42.12/13.11  																																																	| (772) e3 = e1
% 42.12/13.11  																																																	|
% 42.12/13.11  																																																	| Equations (772) can reduce 20 to:
% 42.12/13.11  																																																	| (311) $false
% 42.12/13.11  																																																	|
% 42.12/13.11  																																																	|-The branch is then unsatisfiable
% 42.15/13.11  																																																|-Branch two:
% 42.15/13.11  																																																| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.11  																																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.11  																																																|
% 42.15/13.11  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 42.15/13.11  																																																	|-Branch one:
% 42.15/13.11  																																																	| (916) all_0_84_84 = e0
% 42.15/13.11  																																																	|
% 42.15/13.11  																																																		| Equations (916) can reduce 919 to:
% 42.15/13.11  																																																		| (311) $false
% 42.15/13.11  																																																		|
% 42.15/13.11  																																																		|-The branch is then unsatisfiable
% 42.15/13.11  																																																	|-Branch two:
% 42.15/13.11  																																																	| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.11  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.11  																																																	|
% 42.15/13.11  																																																		+-Applying beta-rule and splitting (920), into two cases.
% 42.15/13.11  																																																		|-Branch one:
% 42.15/13.11  																																																		| (861) all_0_87_87 = e0
% 42.15/13.11  																																																		|
% 42.15/13.11  																																																			| Combining equations (482,861) yields a new equation:
% 42.15/13.11  																																																			| (1107) e1 = e0
% 42.15/13.11  																																																			|
% 42.15/13.11  																																																			| Simplifying 1107 yields:
% 42.15/13.11  																																																			| (865) e1 = e0
% 42.15/13.11  																																																			|
% 42.15/13.11  																																																			| Equations (865) can reduce 264 to:
% 42.15/13.11  																																																			| (311) $false
% 42.15/13.11  																																																			|
% 42.15/13.11  																																																			|-The branch is then unsatisfiable
% 42.15/13.11  																																																		|-Branch two:
% 42.15/13.11  																																																		| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.11  																																																		| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.11  																																																		|
% 42.15/13.11  																																																			+-Applying beta-rule and splitting (931), into two cases.
% 42.15/13.11  																																																			|-Branch one:
% 42.15/13.11  																																																			| (942) all_0_92_92 = e0
% 42.15/13.11  																																																			|
% 42.15/13.11  																																																				| Combining equations (942,5478) yields a new equation:
% 42.15/13.12  																																																				| (5547) all_0_64_64 = e0
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Equations (942) can reduce 87 to:
% 42.15/13.12  																																																				| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Equations (942) can reduce 265 to:
% 42.15/13.12  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Equations (942) can reduce 298 to:
% 42.15/13.12  																																																				| (510)  ~ (e2 = e0)
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Simplifying 510 yields:
% 42.15/13.12  																																																				| (76)  ~ (e2 = e0)
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				+-Applying beta-rule and splitting (276), into two cases.
% 42.15/13.12  																																																				|-Branch one:
% 42.15/13.12  																																																				| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																					+-Applying beta-rule and splitting (577), into two cases.
% 42.15/13.12  																																																					|-Branch one:
% 42.15/13.12  																																																					| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.15/13.12  																																																					|
% 42.15/13.12  																																																						+-Applying beta-rule and splitting (578), into two cases.
% 42.15/13.12  																																																						|-Branch one:
% 42.15/13.12  																																																						| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.15/13.12  																																																						|
% 42.15/13.12  																																																							| Applying alpha-rule on (579) yields:
% 42.15/13.12  																																																							| (580) all_0_60_60 = e4
% 42.15/13.12  																																																							| (581)  ~ (all_0_61_61 = e1)
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							| Combining equations (580,5436) yields a new equation:
% 42.15/13.12  																																																							| (813) e4 = e1
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							| Simplifying 813 yields:
% 42.15/13.12  																																																							| (814) e4 = e1
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							| Equations (814) can reduce 256 to:
% 42.15/13.12  																																																							| (311) $false
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							|-The branch is then unsatisfiable
% 42.15/13.12  																																																						|-Branch two:
% 42.15/13.12  																																																						| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.15/13.12  																																																						|
% 42.15/13.12  																																																							| Applying alpha-rule on (585) yields:
% 42.15/13.12  																																																							| (586) all_0_62_62 = e3
% 42.15/13.12  																																																							| (587)  ~ (all_0_63_63 = e1)
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							| From (586) and (122) follows:
% 42.15/13.12  																																																							| (5563) op(e1, all_0_84_84) = e3
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																							+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.12  																																																							|-Branch one:
% 42.15/13.12  																																																							| (1456) all_0_91_91 = e0
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																								| Equations (1456) can reduce 1487 to:
% 42.15/13.12  																																																								| (311) $false
% 42.15/13.12  																																																								|
% 42.15/13.12  																																																								|-The branch is then unsatisfiable
% 42.15/13.12  																																																							|-Branch two:
% 42.15/13.12  																																																							| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.12  																																																							| (1837) all_0_96_96 = e0
% 42.15/13.12  																																																							|
% 42.15/13.12  																																																								| Equations (1837) can reduce 964 to:
% 42.15/13.12  																																																								| (906)  ~ (e3 = e0)
% 42.15/13.12  																																																								|
% 42.15/13.12  																																																								| Simplifying 906 yields:
% 42.15/13.12  																																																								| (50)  ~ (e3 = e0)
% 42.15/13.12  																																																								|
% 42.15/13.12  																																																								+-Applying beta-rule and splitting (849), into two cases.
% 42.15/13.12  																																																								|-Branch one:
% 42.15/13.12  																																																								| (588) all_0_91_91 = e3
% 42.15/13.12  																																																								|
% 42.15/13.12  																																																									| Equations (588) can reduce 296 to:
% 42.15/13.12  																																																									| (169)  ~ (e3 = e2)
% 42.15/13.12  																																																									|
% 42.15/13.12  																																																									+-Applying beta-rule and splitting (617), into two cases.
% 42.15/13.12  																																																									|-Branch one:
% 42.15/13.12  																																																									| (1265) all_0_84_84 = e3
% 42.15/13.12  																																																									|
% 42.15/13.12  																																																										| Equations (1265) can reduce 422 to:
% 42.15/13.12  																																																										| (311) $false
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																										|-The branch is then unsatisfiable
% 42.15/13.12  																																																									|-Branch two:
% 42.15/13.12  																																																									| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.12  																																																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.15/13.12  																																																									|
% 42.15/13.12  																																																										+-Applying beta-rule and splitting (1268), into two cases.
% 42.15/13.12  																																																										|-Branch one:
% 42.15/13.12  																																																										| (916) all_0_84_84 = e0
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																											| Equations (916) can reduce 919 to:
% 42.15/13.12  																																																											| (311) $false
% 42.15/13.12  																																																											|
% 42.15/13.12  																																																											|-The branch is then unsatisfiable
% 42.15/13.12  																																																										|-Branch two:
% 42.15/13.12  																																																										| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.12  																																																										| (438) all_0_84_84 = e4
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																											| From (438) and (5563) follows:
% 42.15/13.12  																																																											| (5580) op(e1, e4) = e3
% 42.15/13.12  																																																											|
% 42.15/13.12  																																																											| Instantiating formula (262) with e1, e4, e3, e2 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e2, yields:
% 42.15/13.12  																																																											| (548) e3 = e2
% 42.15/13.12  																																																											|
% 42.15/13.12  																																																											| Equations (548) can reduce 169 to:
% 42.15/13.12  																																																											| (311) $false
% 42.15/13.12  																																																											|
% 42.15/13.12  																																																											|-The branch is then unsatisfiable
% 42.15/13.12  																																																								|-Branch two:
% 42.15/13.12  																																																								| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.12  																																																								| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.12  																																																								|
% 42.15/13.12  																																																									+-Applying beta-rule and splitting (1842), into two cases.
% 42.15/13.12  																																																									|-Branch one:
% 42.15/13.12  																																																									| (588) all_0_91_91 = e3
% 42.15/13.12  																																																									|
% 42.15/13.12  																																																										| Equations (588) can reduce 571 to:
% 42.15/13.12  																																																										| (311) $false
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																										|-The branch is then unsatisfiable
% 42.15/13.12  																																																									|-Branch two:
% 42.15/13.12  																																																									| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.12  																																																									| (778) all_0_96_96 = e3
% 42.15/13.12  																																																									|
% 42.15/13.12  																																																										| Combining equations (778,1837) yields a new equation:
% 42.15/13.12  																																																										| (599) e3 = e0
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																										| Simplifying 599 yields:
% 42.15/13.12  																																																										| (600) e3 = e0
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																										| Equations (600) can reduce 50 to:
% 42.15/13.12  																																																										| (311) $false
% 42.15/13.12  																																																										|
% 42.15/13.12  																																																										|-The branch is then unsatisfiable
% 42.15/13.12  																																																					|-Branch two:
% 42.15/13.12  																																																					| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.15/13.12  																																																					|
% 42.15/13.12  																																																						| Applying alpha-rule on (590) yields:
% 42.15/13.12  																																																						| (591) all_0_64_64 = e2
% 42.15/13.12  																																																						| (592)  ~ (all_0_65_65 = e1)
% 42.15/13.12  																																																						|
% 42.15/13.12  																																																						| Combining equations (5547,591) yields a new equation:
% 42.15/13.12  																																																						| (379) e2 = e0
% 42.15/13.12  																																																						|
% 42.15/13.12  																																																						| Equations (379) can reduce 76 to:
% 42.15/13.12  																																																						| (311) $false
% 42.15/13.12  																																																						|
% 42.15/13.12  																																																						|-The branch is then unsatisfiable
% 42.15/13.12  																																																				|-Branch two:
% 42.15/13.12  																																																				| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																					| Applying alpha-rule on (596) yields:
% 42.15/13.12  																																																					| (597) all_0_67_67 = e0
% 42.15/13.12  																																																					| (598)  ~ (all_0_68_68 = e1)
% 42.15/13.12  																																																					|
% 42.15/13.12  																																																					| Combining equations (597,4077) yields a new equation:
% 42.15/13.12  																																																					| (1456) all_0_91_91 = e0
% 42.15/13.12  																																																					|
% 42.15/13.12  																																																					| Equations (1456) can reduce 1487 to:
% 42.15/13.12  																																																					| (311) $false
% 42.15/13.12  																																																					|
% 42.15/13.12  																																																					|-The branch is then unsatisfiable
% 42.15/13.12  																																																			|-Branch two:
% 42.15/13.12  																																																			| (946)  ~ (all_0_92_92 = e0)
% 42.15/13.12  																																																			| (560) all_0_97_97 = e0
% 42.15/13.12  																																																			|
% 42.15/13.12  																																																				| Combining equations (538,560) yields a new equation:
% 42.15/13.12  																																																				| (923) e2 = e0
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Simplifying 923 yields:
% 42.15/13.12  																																																				| (379) e2 = e0
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				| Equations (379) can reduce 76 to:
% 42.15/13.12  																																																				| (311) $false
% 42.15/13.12  																																																				|
% 42.15/13.12  																																																				|-The branch is then unsatisfiable
% 42.15/13.12  																																													|-Branch two:
% 42.15/13.12  																																													| (914)  ~ (all_0_82_82 = e0)
% 42.15/13.12  																																													| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.12  																																													|
% 42.15/13.12  																																														+-Applying beta-rule and splitting (915), into two cases.
% 42.15/13.12  																																														|-Branch one:
% 42.15/13.12  																																														| (378) all_0_86_86 = e0
% 42.15/13.12  																																														|
% 42.15/13.12  																																															| Combining equations (345,378) yields a new equation:
% 42.15/13.12  																																															| (923) e2 = e0
% 42.15/13.12  																																															|
% 42.15/13.12  																																															| Simplifying 923 yields:
% 42.15/13.12  																																															| (379) e2 = e0
% 42.15/13.12  																																															|
% 42.15/13.12  																																															| Equations (379) can reduce 76 to:
% 42.15/13.12  																																															| (311) $false
% 42.15/13.12  																																															|
% 42.15/13.12  																																															|-The branch is then unsatisfiable
% 42.15/13.12  																																														|-Branch two:
% 42.15/13.12  																																														| (381)  ~ (all_0_86_86 = e0)
% 42.15/13.12  																																														| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.12  																																														|
% 42.15/13.12  																																															+-Applying beta-rule and splitting (927), into two cases.
% 42.15/13.12  																																															|-Branch one:
% 42.15/13.12  																																															| (758) all_0_90_90 = e0
% 42.15/13.12  																																															|
% 42.15/13.12  																																																| Combining equations (750,758) yields a new equation:
% 42.15/13.12  																																																| (1107) e1 = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																| Simplifying 1107 yields:
% 42.15/13.12  																																																| (865) e1 = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																| Equations (865) can reduce 264 to:
% 42.15/13.12  																																																| (311) $false
% 42.15/13.12  																																																|
% 42.15/13.12  																																																|-The branch is then unsatisfiable
% 42.15/13.12  																																															|-Branch two:
% 42.15/13.12  																																															| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.12  																																															| (858) all_0_95_95 = e0
% 42.15/13.12  																																															|
% 42.15/13.12  																																																| Combining equations (858,744) yields a new equation:
% 42.15/13.12  																																																| (600) e3 = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																| Equations (600) can reduce 50 to:
% 42.15/13.12  																																																| (311) $false
% 42.15/13.12  																																																|
% 42.15/13.12  																																																|-The branch is then unsatisfiable
% 42.15/13.12  																																								|-Branch two:
% 42.15/13.12  																																								| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.12  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.12  																																								|
% 42.15/13.12  																																									+-Applying beta-rule and splitting (99), into two cases.
% 42.15/13.12  																																									|-Branch one:
% 42.15/13.12  																																									| (767) all_0_95_95 = e2
% 42.15/13.12  																																									|
% 42.15/13.12  																																										| Equations (767) can reduce 355 to:
% 42.15/13.12  																																										| (311) $false
% 42.15/13.12  																																										|
% 42.15/13.12  																																										|-The branch is then unsatisfiable
% 42.15/13.12  																																									|-Branch two:
% 42.15/13.12  																																									| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.12  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 42.15/13.12  																																									|
% 42.15/13.12  																																										+-Applying beta-rule and splitting (770), into two cases.
% 42.15/13.12  																																										|-Branch one:
% 42.15/13.12  																																										| (785) all_0_95_95 = e1
% 42.15/13.12  																																										|
% 42.15/13.12  																																											| Equations (785) can reduce 680 to:
% 42.15/13.12  																																											| (311) $false
% 42.15/13.12  																																											|
% 42.15/13.12  																																											|-The branch is then unsatisfiable
% 42.15/13.12  																																										|-Branch two:
% 42.15/13.12  																																										| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.12  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 42.15/13.12  																																										|
% 42.15/13.12  																																											+-Applying beta-rule and splitting (853), into two cases.
% 42.15/13.12  																																											|-Branch one:
% 42.15/13.12  																																											| (744) all_0_95_95 = e3
% 42.15/13.12  																																											|
% 42.15/13.12  																																												| Equations (744) can reduce 765 to:
% 42.15/13.12  																																												| (311) $false
% 42.15/13.12  																																												|
% 42.15/13.12  																																												|-The branch is then unsatisfiable
% 42.15/13.12  																																											|-Branch two:
% 42.15/13.12  																																											| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.12  																																											| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 42.15/13.12  																																											|
% 42.15/13.12  																																												+-Applying beta-rule and splitting (857), into two cases.
% 42.15/13.12  																																												|-Branch one:
% 42.15/13.12  																																												| (858) all_0_95_95 = e0
% 42.15/13.12  																																												|
% 42.15/13.12  																																													| Equations (858) can reduce 279 to:
% 42.15/13.12  																																													| (2296)  ~ (all_0_96_96 = e0)
% 42.15/13.12  																																													|
% 42.15/13.12  																																													| Simplifying 2296 yields:
% 42.15/13.12  																																													| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.12  																																													|
% 42.15/13.12  																																													| Equations (858) can reduce 765 to:
% 42.15/13.12  																																													| (906)  ~ (e3 = e0)
% 42.15/13.12  																																													|
% 42.15/13.12  																																													| Simplifying 906 yields:
% 42.15/13.12  																																													| (50)  ~ (e3 = e0)
% 42.15/13.12  																																													|
% 42.15/13.12  																																													+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.12  																																													|-Branch one:
% 42.15/13.12  																																													| (1456) all_0_91_91 = e0
% 42.15/13.12  																																													|
% 42.15/13.12  																																														| Equations (1456) can reduce 265 to:
% 42.15/13.12  																																														| (2299)  ~ (all_0_92_92 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														| Simplifying 2299 yields:
% 42.15/13.12  																																														| (946)  ~ (all_0_92_92 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														| Equations (1456) can reduce 296 to:
% 42.15/13.12  																																														| (510)  ~ (e2 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														| Simplifying 510 yields:
% 42.15/13.12  																																														| (76)  ~ (e2 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														| Equations (1456) can reduce 959 to:
% 42.15/13.12  																																														| (859)  ~ (e1 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														| Simplifying 859 yields:
% 42.15/13.12  																																														| (264)  ~ (e1 = e0)
% 42.15/13.12  																																														|
% 42.15/13.12  																																														+-Applying beta-rule and splitting (1712), into two cases.
% 42.15/13.12  																																														|-Branch one:
% 42.15/13.12  																																														| (795) all_0_83_83 = e3
% 42.15/13.12  																																														|
% 42.15/13.12  																																															| Combining equations (453,795) yields a new equation:
% 42.15/13.12  																																															| (548) e3 = e2
% 42.15/13.12  																																															|
% 42.15/13.12  																																															| Equations (548) can reduce 169 to:
% 42.15/13.12  																																															| (311) $false
% 42.15/13.12  																																															|
% 42.15/13.12  																																															|-The branch is then unsatisfiable
% 42.15/13.12  																																														|-Branch two:
% 42.15/13.12  																																														| (779)  ~ (all_0_83_83 = e3)
% 42.15/13.12  																																														| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.15/13.12  																																														|
% 42.15/13.12  																																															+-Applying beta-rule and splitting (766), into two cases.
% 42.15/13.12  																																															|-Branch one:
% 42.15/13.12  																																															| (778) all_0_96_96 = e3
% 42.15/13.12  																																															|
% 42.15/13.12  																																																| From (778) and (4960) follows:
% 42.15/13.12  																																																| (5343) op(e2, e3) = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																+-Applying beta-rule and splitting (2), into two cases.
% 42.15/13.12  																																																|-Branch one:
% 42.15/13.12  																																																| (916) all_0_84_84 = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																	| Equations (916) can reduce 612 to:
% 42.15/13.12  																																																	| (510)  ~ (e2 = e0)
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	| Simplifying 510 yields:
% 42.15/13.12  																																																	| (76)  ~ (e2 = e0)
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.15/13.12  																																																	| (379) e2 = e0
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	| Equations (379) can reduce 76 to:
% 42.15/13.12  																																																	| (311) $false
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	|-The branch is then unsatisfiable
% 42.15/13.12  																																																|-Branch two:
% 42.15/13.12  																																																| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.12  																																																| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.12  																																																|
% 42.15/13.12  																																																	+-Applying beta-rule and splitting (920), into two cases.
% 42.15/13.12  																																																	|-Branch one:
% 42.15/13.12  																																																	| (861) all_0_87_87 = e0
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																		| Combining equations (482,861) yields a new equation:
% 42.15/13.12  																																																		| (1107) e1 = e0
% 42.15/13.12  																																																		|
% 42.15/13.12  																																																		| Simplifying 1107 yields:
% 42.15/13.12  																																																		| (865) e1 = e0
% 42.15/13.12  																																																		|
% 42.15/13.12  																																																		| Equations (865) can reduce 264 to:
% 42.15/13.12  																																																		| (311) $false
% 42.15/13.12  																																																		|
% 42.15/13.12  																																																		|-The branch is then unsatisfiable
% 42.15/13.12  																																																	|-Branch two:
% 42.15/13.12  																																																	| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.12  																																																	| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																		+-Applying beta-rule and splitting (931), into two cases.
% 42.15/13.12  																																																		|-Branch one:
% 42.15/13.12  																																																		| (942) all_0_92_92 = e0
% 42.15/13.12  																																																		|
% 42.15/13.12  																																																			| Equations (942) can reduce 946 to:
% 42.15/13.12  																																																			| (311) $false
% 42.15/13.12  																																																			|
% 42.15/13.12  																																																			|-The branch is then unsatisfiable
% 42.15/13.12  																																																		|-Branch two:
% 42.15/13.12  																																																		| (946)  ~ (all_0_92_92 = e0)
% 42.15/13.12  																																																		| (560) all_0_97_97 = e0
% 42.15/13.12  																																																		|
% 42.15/13.12  																																																			| Combining equations (538,560) yields a new equation:
% 42.15/13.12  																																																			| (923) e2 = e0
% 42.15/13.12  																																																			|
% 42.15/13.12  																																																			| Simplifying 923 yields:
% 42.15/13.12  																																																			| (379) e2 = e0
% 42.15/13.12  																																																			|
% 42.15/13.12  																																																			| Equations (379) can reduce 76 to:
% 42.15/13.12  																																																			| (311) $false
% 42.15/13.12  																																																			|
% 42.15/13.12  																																																			|-The branch is then unsatisfiable
% 42.15/13.12  																																															|-Branch two:
% 42.15/13.12  																																															| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.12  																																															| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.12  																																															|
% 42.15/13.12  																																																+-Applying beta-rule and splitting (1842), into two cases.
% 42.15/13.12  																																																|-Branch one:
% 42.15/13.12  																																																| (588) all_0_91_91 = e3
% 42.15/13.12  																																																|
% 42.15/13.12  																																																	| Combining equations (588,1456) yields a new equation:
% 42.15/13.12  																																																	| (599) e3 = e0
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	| Simplifying 599 yields:
% 42.15/13.12  																																																	| (600) e3 = e0
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	| Equations (600) can reduce 50 to:
% 42.15/13.12  																																																	| (311) $false
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	|-The branch is then unsatisfiable
% 42.15/13.12  																																																|-Branch two:
% 42.15/13.12  																																																| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.12  																																																| (778) all_0_96_96 = e3
% 42.15/13.12  																																																|
% 42.15/13.12  																																																	| Equations (778) can reduce 964 to:
% 42.15/13.12  																																																	| (311) $false
% 42.15/13.12  																																																	|
% 42.15/13.12  																																																	|-The branch is then unsatisfiable
% 42.15/13.12  																																													|-Branch two:
% 42.15/13.12  																																													| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.12  																																													| (1837) all_0_96_96 = e0
% 42.15/13.12  																																													|
% 42.15/13.12  																																														| Equations (1837) can reduce 2095 to:
% 42.15/13.12  																																														| (311) $false
% 42.15/13.12  																																														|
% 42.15/13.12  																																														|-The branch is then unsatisfiable
% 42.15/13.12  																																												|-Branch two:
% 42.15/13.12  																																												| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.12  																																												| (894) all_0_95_95 = e4
% 42.15/13.12  																																												|
% 42.15/13.12  																																													| Equations (894) can reduce 315 to:
% 42.15/13.12  																																													| (311) $false
% 42.15/13.12  																																													|
% 42.15/13.12  																																													|-The branch is then unsatisfiable
% 42.15/13.12  																																					|-Branch two:
% 42.15/13.12  																																					| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.13  																																					| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.15/13.13  																																					|
% 42.15/13.13  																																						+-Applying beta-rule and splitting (835), into two cases.
% 42.15/13.13  																																						|-Branch one:
% 42.15/13.13  																																						| (836) all_0_92_92 = e1
% 42.15/13.13  																																						|
% 42.15/13.13  																																							| Equations (836) can reduce 840 to:
% 42.15/13.13  																																							| (311) $false
% 42.15/13.13  																																							|
% 42.15/13.13  																																							|-The branch is then unsatisfiable
% 42.15/13.13  																																						|-Branch two:
% 42.15/13.13  																																						| (840)  ~ (all_0_92_92 = e1)
% 42.15/13.13  																																						| (542) all_0_97_97 = e1
% 42.15/13.13  																																						|
% 42.15/13.13  																																							| Combining equations (538,542) yields a new equation:
% 42.15/13.13  																																							| (408) e2 = e1
% 42.15/13.13  																																							|
% 42.15/13.13  																																							| Simplifying 408 yields:
% 42.15/13.13  																																							| (385) e2 = e1
% 42.15/13.13  																																							|
% 42.15/13.13  																																							| Equations (385) can reduce 243 to:
% 42.15/13.13  																																							| (311) $false
% 42.15/13.13  																																							|
% 42.15/13.13  																																							|-The branch is then unsatisfiable
% 42.15/13.13  																																		|-Branch two:
% 42.15/13.13  																																		| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.13  																																		| (785) all_0_95_95 = e1
% 42.15/13.13  																																		|
% 42.15/13.13  																																			| Equations (785) can reduce 680 to:
% 42.15/13.13  																																			| (311) $false
% 42.15/13.13  																																			|
% 42.15/13.13  																																			|-The branch is then unsatisfiable
% 42.15/13.13  																													|-Branch two:
% 42.15/13.13  																													| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.13  																													| (525) all_0_98_98 = e2
% 42.15/13.13  																													|
% 42.15/13.13  																														| Equations (525) can reduce 1349 to:
% 42.15/13.13  																														| (311) $false
% 42.15/13.13  																														|
% 42.15/13.13  																														|-The branch is then unsatisfiable
% 42.15/13.13  																											|-Branch two:
% 42.15/13.13  																											| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.13  																											| (635) all_0_81_81 = e3
% 42.15/13.13  																											|
% 42.15/13.13  																												| Combining equations (473,635) yields a new equation:
% 42.15/13.13  																												| (548) e3 = e2
% 42.15/13.13  																												|
% 42.15/13.13  																												| Equations (548) can reduce 169 to:
% 42.15/13.13  																												| (311) $false
% 42.15/13.13  																												|
% 42.15/13.13  																												|-The branch is then unsatisfiable
% 42.15/13.13  																						|-Branch two:
% 42.15/13.13  																						| (396)  ~ (all_0_81_81 = e2)
% 42.15/13.13  																						| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 42.15/13.13  																						|
% 42.15/13.13  																							+-Applying beta-rule and splitting (476), into two cases.
% 42.15/13.13  																							|-Branch one:
% 42.15/13.13  																							| (477) all_0_81_81 = e1
% 42.15/13.13  																							|
% 42.15/13.13  																								| Equations (477) can reduce 628 to:
% 42.15/13.13  																								| (311) $false
% 42.15/13.13  																								|
% 42.15/13.13  																								|-The branch is then unsatisfiable
% 42.15/13.13  																							|-Branch two:
% 42.15/13.13  																							| (628)  ~ (all_0_81_81 = e1)
% 42.15/13.13  																							| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 42.15/13.13  																							|
% 42.15/13.13  																								+-Applying beta-rule and splitting (629), into two cases.
% 42.15/13.13  																								|-Branch one:
% 42.15/13.13  																								| (635) all_0_81_81 = e3
% 42.15/13.13  																								|
% 42.15/13.13  																									| Equations (635) can reduce 118 to:
% 42.15/13.13  																									| (2358)  ~ (all_0_85_85 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Simplifying 2358 yields:
% 42.15/13.13  																									| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Equations (635) can reduce 266 to:
% 42.15/13.13  																									| (805)  ~ (all_0_88_88 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Simplifying 805 yields:
% 42.15/13.13  																									| (191)  ~ (all_0_88_88 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Equations (635) can reduce 277 to:
% 42.15/13.13  																									| (807)  ~ (all_0_93_93 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Simplifying 807 yields:
% 42.15/13.13  																									| (602)  ~ (all_0_93_93 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Equations (635) can reduce 5 to:
% 42.15/13.13  																									| (1518)  ~ (all_0_98_98 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Simplifying 1518 yields:
% 42.15/13.13  																									| (1519)  ~ (all_0_98_98 = e3)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Equations (635) can reduce 396 to:
% 42.15/13.13  																									| (169)  ~ (e3 = e2)
% 42.15/13.13  																									|
% 42.15/13.13  																									| Equations (635) can reduce 257 to:
% 42.15/13.13  																									| (50)  ~ (e3 = e0)
% 42.15/13.13  																									|
% 42.15/13.13  																									+-Applying beta-rule and splitting (45), into two cases.
% 42.15/13.13  																									|-Branch one:
% 42.15/13.13  																									| (546) all_0_80_80 = e2
% 42.15/13.13  																									|
% 42.15/13.13  																										| Equations (546) can reduce 273 to:
% 42.15/13.13  																										| (1631)  ~ (all_0_84_84 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Simplifying 1631 yields:
% 42.15/13.13  																										| (612)  ~ (all_0_84_84 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Equations (546) can reduce 73 to:
% 42.15/13.13  																										| (348)  ~ (all_0_87_87 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Simplifying 348 yields:
% 42.15/13.13  																										| (349)  ~ (all_0_87_87 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Equations (546) can reduce 202 to:
% 42.15/13.13  																										| (2376)  ~ (all_0_97_97 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Simplifying 2376 yields:
% 42.15/13.13  																										| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Equations (546) can reduce 436 to:
% 42.15/13.13  																										| (528)  ~ (e4 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Simplifying 528 yields:
% 42.15/13.13  																										| (79)  ~ (e4 = e2)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Equations (546) can reduce 828 to:
% 42.15/13.13  																										| (243)  ~ (e2 = e1)
% 42.15/13.13  																										|
% 42.15/13.13  																										| Equations (546) can reduce 166 to:
% 42.15/13.13  																										| (76)  ~ (e2 = e0)
% 42.15/13.13  																										|
% 42.15/13.13  																										+-Applying beta-rule and splitting (97), into two cases.
% 42.15/13.13  																										|-Branch one:
% 42.15/13.13  																										| (1757) all_0_94_94 = e2
% 42.15/13.13  																										|
% 42.15/13.13  																											| Combining equations (1757,313) yields a new equation:
% 42.15/13.13  																											| (310) e4 = e2
% 42.15/13.13  																											|
% 42.15/13.13  																											| Equations (310) can reduce 79 to:
% 42.15/13.13  																											| (311) $false
% 42.15/13.13  																											|
% 42.15/13.13  																											|-The branch is then unsatisfiable
% 42.15/13.13  																										|-Branch two:
% 42.15/13.13  																										| (1761)  ~ (all_0_94_94 = e2)
% 42.15/13.13  																										| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.13  																										|
% 42.15/13.13  																											+-Applying beta-rule and splitting (1762), into two cases.
% 42.15/13.13  																											|-Branch one:
% 42.15/13.13  																											| (767) all_0_95_95 = e2
% 42.15/13.13  																											|
% 42.15/13.13  																												| Equations (767) can reduce 355 to:
% 42.15/13.13  																												| (311) $false
% 42.15/13.13  																												|
% 42.15/13.13  																												|-The branch is then unsatisfiable
% 42.15/13.13  																											|-Branch two:
% 42.15/13.13  																											| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.13  																											| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.13  																											|
% 42.15/13.13  																												+-Applying beta-rule and splitting (1772), into two cases.
% 42.15/13.13  																												|-Branch one:
% 42.15/13.13  																												| (1704) all_0_96_96 = e2
% 42.15/13.13  																												|
% 42.15/13.13  																													| Equations (1704) can reduce 1638 to:
% 42.15/13.13  																													| (311) $false
% 42.15/13.13  																													|
% 42.15/13.13  																													|-The branch is then unsatisfiable
% 42.15/13.13  																												|-Branch two:
% 42.15/13.13  																												| (1638)  ~ (all_0_96_96 = e2)
% 42.15/13.13  																												| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.13  																												|
% 42.15/13.13  																													+-Applying beta-rule and splitting (1783), into two cases.
% 42.15/13.13  																													|-Branch one:
% 42.15/13.13  																													| (538) all_0_97_97 = e2
% 42.15/13.13  																													|
% 42.15/13.13  																														| Equations (538) can reduce 527 to:
% 42.15/13.13  																														| (311) $false
% 42.15/13.13  																														|
% 42.15/13.13  																														|-The branch is then unsatisfiable
% 42.15/13.13  																													|-Branch two:
% 42.15/13.13  																													| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.13  																													| (525) all_0_98_98 = e2
% 42.15/13.13  																													|
% 42.15/13.13  																														| Equations (525) can reduce 75 to:
% 42.15/13.13  																														| (515)  ~ (all_0_85_85 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Equations (525) can reduce 13 to:
% 42.15/13.13  																														| (300)  ~ (all_0_93_93 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Equations (525) can reduce 107 to:
% 42.15/13.13  																														| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Equations (525) can reduce 148 to:
% 42.15/13.13  																														| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Equations (525) can reduce 321 to:
% 42.15/13.13  																														| (528)  ~ (e4 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Simplifying 528 yields:
% 42.15/13.13  																														| (79)  ~ (e4 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Equations (525) can reduce 1519 to:
% 42.15/13.13  																														| (356)  ~ (e3 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| Simplifying 356 yields:
% 42.15/13.13  																														| (169)  ~ (e3 = e2)
% 42.15/13.13  																														|
% 42.15/13.13  																														| From (525) and (38) follows:
% 42.15/13.13  																														| (2408) op(e0, e0) = e2
% 42.15/13.13  																														|
% 42.15/13.13  																														+-Applying beta-rule and splitting (10), into two cases.
% 42.15/13.13  																														|-Branch one:
% 42.15/13.13  																														| (530) all_0_82_82 = e2
% 42.15/13.13  																														|
% 42.15/13.13  																															| Equations (530) can reduce 347 to:
% 42.15/13.13  																															| (311) $false
% 42.15/13.13  																															|
% 42.15/13.13  																															|-The branch is then unsatisfiable
% 42.15/13.13  																														|-Branch two:
% 42.15/13.13  																														| (347)  ~ (all_0_82_82 = e2)
% 42.15/13.13  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 42.15/13.13  																														|
% 42.15/13.13  																															+-Applying beta-rule and splitting (171), into two cases.
% 42.15/13.13  																															|-Branch one:
% 42.15/13.13  																															| (789) all_0_82_82 = e3
% 42.15/13.13  																															|
% 42.15/13.13  																																| Equations (789) can reduce 209 to:
% 42.15/13.13  																																| (2358)  ~ (all_0_85_85 = e3)
% 42.15/13.13  																																|
% 42.15/13.13  																																| Simplifying 2358 yields:
% 42.15/13.13  																																| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.13  																																|
% 42.15/13.13  																																| Equations (789) can reduce 200 to:
% 42.15/13.13  																																| (1070)  ~ (all_0_95_95 = e3)
% 42.15/13.13  																																|
% 42.15/13.13  																																| Simplifying 1070 yields:
% 42.15/13.13  																																| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.13  																																|
% 42.15/13.13  																																| Equations (789) can reduce 347 to:
% 42.15/13.13  																																| (169)  ~ (e3 = e2)
% 42.15/13.13  																																|
% 42.15/13.13  																																+-Applying beta-rule and splitting (254), into two cases.
% 42.15/13.13  																																|-Branch one:
% 42.15/13.13  																																| (910) all_0_82_82 = e0
% 42.15/13.13  																																|
% 42.15/13.13  																																	| Combining equations (789,910) yields a new equation:
% 42.15/13.13  																																	| (599) e3 = e0
% 42.15/13.13  																																	|
% 42.15/13.13  																																	| Simplifying 599 yields:
% 42.15/13.13  																																	| (600) e3 = e0
% 42.15/13.13  																																	|
% 42.15/13.13  																																	| Equations (600) can reduce 50 to:
% 42.15/13.13  																																	| (311) $false
% 42.15/13.13  																																	|
% 42.15/13.13  																																	|-The branch is then unsatisfiable
% 42.15/13.13  																																|-Branch two:
% 42.15/13.13  																																| (914)  ~ (all_0_82_82 = e0)
% 42.15/13.13  																																| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.13  																																|
% 42.15/13.13  																																	+-Applying beta-rule and splitting (92), into two cases.
% 42.15/13.13  																																	|-Branch one:
% 42.15/13.13  																																	| (552) all_0_84_84 = e2
% 42.15/13.13  																																	|
% 42.15/13.13  																																		| Equations (552) can reduce 612 to:
% 42.15/13.13  																																		| (311) $false
% 42.15/13.13  																																		|
% 42.15/13.13  																																		|-The branch is then unsatisfiable
% 42.15/13.13  																																	|-Branch two:
% 42.15/13.13  																																	| (612)  ~ (all_0_84_84 = e2)
% 42.15/13.13  																																	| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.15/13.13  																																	|
% 42.15/13.13  																																		+-Applying beta-rule and splitting (176), into two cases.
% 42.15/13.13  																																		|-Branch one:
% 42.15/13.13  																																		| (785) all_0_95_95 = e1
% 42.15/13.13  																																		|
% 42.15/13.13  																																			+-Applying beta-rule and splitting (915), into two cases.
% 42.15/13.13  																																			|-Branch one:
% 42.15/13.13  																																			| (378) all_0_86_86 = e0
% 42.15/13.13  																																			|
% 42.15/13.13  																																				| Combining equations (345,378) yields a new equation:
% 42.15/13.13  																																				| (923) e2 = e0
% 42.15/13.13  																																				|
% 42.15/13.13  																																				| Simplifying 923 yields:
% 42.15/13.13  																																				| (379) e2 = e0
% 42.15/13.13  																																				|
% 42.15/13.13  																																				| Equations (379) can reduce 76 to:
% 42.15/13.13  																																				| (311) $false
% 42.15/13.13  																																				|
% 42.15/13.13  																																				|-The branch is then unsatisfiable
% 42.15/13.13  																																			|-Branch two:
% 42.15/13.13  																																			| (381)  ~ (all_0_86_86 = e0)
% 42.15/13.13  																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.13  																																			|
% 42.15/13.13  																																				+-Applying beta-rule and splitting (927), into two cases.
% 42.15/13.13  																																				|-Branch one:
% 42.15/13.13  																																				| (758) all_0_90_90 = e0
% 42.15/13.13  																																				|
% 42.15/13.13  																																					| Equations (758) can reduce 103 to:
% 42.15/13.13  																																					| (1830)  ~ (all_0_91_91 = e0)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Simplifying 1830 yields:
% 42.15/13.13  																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.13  																																					|-Branch one:
% 42.15/13.13  																																					| (1456) all_0_91_91 = e0
% 42.15/13.13  																																					|
% 42.15/13.13  																																						| Equations (1456) can reduce 1487 to:
% 42.15/13.13  																																						| (311) $false
% 42.15/13.13  																																						|
% 42.15/13.13  																																						|-The branch is then unsatisfiable
% 42.15/13.13  																																					|-Branch two:
% 42.15/13.13  																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.13  																																					| (1837) all_0_96_96 = e0
% 42.15/13.13  																																					|
% 42.15/13.13  																																						| From (1837) and (268) follows:
% 42.15/13.13  																																						| (5798) op(e0, e0) = all_0_59_59
% 42.15/13.13  																																						|
% 42.15/13.13  																																						| Instantiating formula (262) with e0, e0, all_0_59_59, e2 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e2, yields:
% 42.15/13.13  																																						| (5799) all_0_59_59 = e2
% 42.15/13.13  																																						|
% 42.15/13.13  																																						| Equations (5799) can reduce 4959 to:
% 42.15/13.13  																																						| (311) $false
% 42.15/13.13  																																						|
% 42.15/13.13  																																						|-The branch is then unsatisfiable
% 42.15/13.13  																																				|-Branch two:
% 42.15/13.13  																																				| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.13  																																				| (858) all_0_95_95 = e0
% 42.15/13.13  																																				|
% 42.15/13.13  																																					| Combining equations (858,785) yields a new equation:
% 42.15/13.13  																																					| (865) e1 = e0
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Equations (865) can reduce 264 to:
% 42.15/13.13  																																					| (311) $false
% 42.15/13.13  																																					|
% 42.15/13.13  																																					|-The branch is then unsatisfiable
% 42.15/13.13  																																		|-Branch two:
% 42.15/13.13  																																		| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.13  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.13  																																		|
% 42.15/13.13  																																			+-Applying beta-rule and splitting (788), into two cases.
% 42.15/13.13  																																			|-Branch one:
% 42.15/13.13  																																			| (960) all_0_96_96 = e1
% 42.15/13.13  																																			|
% 42.15/13.13  																																				| Equations (960) can reduce 1479 to:
% 42.15/13.13  																																				| (311) $false
% 42.15/13.13  																																				|
% 42.15/13.13  																																				|-The branch is then unsatisfiable
% 42.15/13.13  																																			|-Branch two:
% 42.15/13.13  																																			| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.13  																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.13  																																			|
% 42.15/13.13  																																				+-Applying beta-rule and splitting (2126), into two cases.
% 42.15/13.13  																																				|-Branch one:
% 42.15/13.13  																																				| (542) all_0_97_97 = e1
% 42.15/13.13  																																				|
% 42.15/13.13  																																					| Equations (542) can reduce 221 to:
% 42.15/13.13  																																					| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Equations (542) can reduce 105 to:
% 42.15/13.13  																																					| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Equations (542) can reduce 22 to:
% 42.15/13.13  																																					| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Equations (542) can reduce 527 to:
% 42.15/13.13  																																					| (487)  ~ (e2 = e1)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					| Simplifying 487 yields:
% 42.15/13.13  																																					| (243)  ~ (e2 = e1)
% 42.15/13.13  																																					|
% 42.15/13.13  																																					+-Applying beta-rule and splitting (207), into two cases.
% 42.15/13.13  																																					|-Branch one:
% 42.15/13.13  																																					| (416) all_0_80_80 = e3
% 42.15/13.13  																																					|
% 42.15/13.13  																																						| Combining equations (416,546) yields a new equation:
% 42.15/13.13  																																						| (547) e3 = e2
% 42.15/13.13  																																						|
% 42.15/13.13  																																						| Simplifying 547 yields:
% 42.15/13.13  																																						| (548) e3 = e2
% 42.15/13.13  																																						|
% 42.15/13.13  																																						| Equations (548) can reduce 169 to:
% 42.15/13.13  																																						| (311) $false
% 42.15/13.13  																																						|
% 42.15/13.13  																																						|-The branch is then unsatisfiable
% 42.15/13.13  																																					|-Branch two:
% 42.15/13.13  																																					| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.13  																																					| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.15/13.13  																																					|
% 42.15/13.13  																																						| Equations (546) can reduce 2347 to:
% 42.15/13.13  																																						| (356)  ~ (e3 = e2)
% 42.15/13.13  																																						|
% 42.15/13.13  																																						| Simplifying 356 yields:
% 42.15/13.13  																																						| (169)  ~ (e3 = e2)
% 42.15/13.13  																																						|
% 42.15/13.13  																																						+-Applying beta-rule and splitting (270), into two cases.
% 42.15/13.13  																																						|-Branch one:
% 42.15/13.13  																																						| (744) all_0_95_95 = e3
% 42.15/13.13  																																						|
% 42.15/13.13  																																							| Equations (744) can reduce 765 to:
% 42.15/13.13  																																							| (311) $false
% 42.15/13.13  																																							|
% 42.15/13.13  																																							|-The branch is then unsatisfiable
% 42.15/13.13  																																						|-Branch two:
% 42.15/13.13  																																						| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.13  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.13  																																						|
% 42.15/13.13  																																							+-Applying beta-rule and splitting (99), into two cases.
% 42.15/13.13  																																							|-Branch one:
% 42.15/13.13  																																							| (767) all_0_95_95 = e2
% 42.15/13.13  																																							|
% 42.15/13.13  																																								| Equations (767) can reduce 355 to:
% 42.15/13.13  																																								| (311) $false
% 42.15/13.13  																																								|
% 42.15/13.13  																																								|-The branch is then unsatisfiable
% 42.15/13.13  																																							|-Branch two:
% 42.15/13.13  																																							| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.13  																																							| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 42.15/13.13  																																							|
% 42.15/13.13  																																								+-Applying beta-rule and splitting (1718), into two cases.
% 42.15/13.13  																																								|-Branch one:
% 42.15/13.13  																																								| (384) all_0_86_86 = e1
% 42.15/13.13  																																								|
% 42.15/13.13  																																									| Combining equations (345,384) yields a new equation:
% 42.15/13.13  																																									| (408) e2 = e1
% 42.15/13.13  																																									|
% 42.15/13.13  																																									| Simplifying 408 yields:
% 42.15/13.13  																																									| (385) e2 = e1
% 42.15/13.13  																																									|
% 42.15/13.13  																																									| Equations (385) can reduce 243 to:
% 42.15/13.13  																																									| (311) $false
% 42.15/13.13  																																									|
% 42.15/13.13  																																									|-The branch is then unsatisfiable
% 42.15/13.13  																																								|-Branch two:
% 42.15/13.13  																																								| (387)  ~ (all_0_86_86 = e1)
% 42.15/13.13  																																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 42.15/13.13  																																								|
% 42.15/13.13  																																									+-Applying beta-rule and splitting (2122), into two cases.
% 42.15/13.13  																																									|-Branch one:
% 42.15/13.13  																																									| (750) all_0_90_90 = e1
% 42.15/13.13  																																									|
% 42.15/13.13  																																										| Equations (750) can reduce 103 to:
% 42.15/13.13  																																										| (1669)  ~ (all_0_91_91 = e1)
% 42.15/13.13  																																										|
% 42.15/13.13  																																										| Simplifying 1669 yields:
% 42.15/13.13  																																										| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.13  																																										|
% 42.15/13.13  																																										| Equations (750) can reduce 229 to:
% 42.15/13.13  																																										| (679)  ~ (all_0_95_95 = e1)
% 42.15/13.13  																																										|
% 42.15/13.13  																																										| Simplifying 679 yields:
% 42.15/13.13  																																										| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.13  																																										|
% 42.15/13.13  																																										+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.13  																																										|-Branch one:
% 42.15/13.13  																																										| (482) all_0_87_87 = e1
% 42.15/13.13  																																										|
% 42.15/13.13  																																											| Equations (482) can reduce 625 to:
% 42.15/13.13  																																											| (311) $false
% 42.15/13.13  																																											|
% 42.15/13.13  																																											|-The branch is then unsatisfiable
% 42.15/13.13  																																										|-Branch two:
% 42.15/13.13  																																										| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.13  																																										| (861) all_0_87_87 = e0
% 42.15/13.13  																																										|
% 42.15/13.13  																																											| Equations (861) can reduce 181 to:
% 42.15/13.13  																																											| (2507)  ~ (all_0_88_88 = e0)
% 42.15/13.13  																																											|
% 42.15/13.13  																																											| Simplifying 2507 yields:
% 42.15/13.13  																																											| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.13  																																											|
% 42.15/13.13  																																											| Equations (861) can reduce 349 to:
% 42.15/13.14  																																											| (510)  ~ (e2 = e0)
% 42.15/13.14  																																											|
% 42.15/13.14  																																											| Simplifying 510 yields:
% 42.15/13.14  																																											| (76)  ~ (e2 = e0)
% 42.15/13.14  																																											|
% 42.15/13.14  																																											+-Applying beta-rule and splitting (770), into two cases.
% 42.15/13.14  																																											|-Branch one:
% 42.15/13.14  																																											| (785) all_0_95_95 = e1
% 42.15/13.14  																																											|
% 42.15/13.14  																																												| Equations (785) can reduce 680 to:
% 42.15/13.14  																																												| (311) $false
% 42.15/13.14  																																												|
% 42.15/13.14  																																												|-The branch is then unsatisfiable
% 42.15/13.14  																																											|-Branch two:
% 42.15/13.14  																																											| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.14  																																											| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 42.15/13.14  																																											|
% 42.15/13.14  																																												+-Applying beta-rule and splitting (766), into two cases.
% 42.15/13.14  																																												|-Branch one:
% 42.15/13.14  																																												| (778) all_0_96_96 = e3
% 42.15/13.14  																																												|
% 42.15/13.14  																																													| Equations (778) can reduce 64 to:
% 42.15/13.14  																																													| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.14  																																													|
% 42.15/13.14  																																													| Equations (778) can reduce 1479 to:
% 42.15/13.14  																																													| (20)  ~ (e3 = e1)
% 42.15/13.14  																																													|
% 42.15/13.14  																																													| From (778) and (4960) follows:
% 42.15/13.14  																																													| (5343) op(e2, e3) = e0
% 42.15/13.14  																																													|
% 42.15/13.14  																																													+-Applying beta-rule and splitting (282), into two cases.
% 42.15/13.14  																																													|-Branch one:
% 42.15/13.14  																																													| (754) all_0_90_90 = e3
% 42.15/13.14  																																													|
% 42.15/13.14  																																														| Combining equations (750,754) yields a new equation:
% 42.15/13.14  																																														| (772) e3 = e1
% 42.15/13.14  																																														|
% 42.15/13.14  																																														| Equations (772) can reduce 20 to:
% 42.15/13.14  																																														| (311) $false
% 42.15/13.14  																																														|
% 42.15/13.14  																																														|-The branch is then unsatisfiable
% 42.15/13.14  																																													|-Branch two:
% 42.15/13.14  																																													| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.14  																																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.14  																																													|
% 42.15/13.14  																																														+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.14  																																														|-Branch one:
% 42.15/13.14  																																														| (504) all_0_88_88 = e1
% 42.15/13.14  																																														|
% 42.15/13.14  																																															| Equations (504) can reduce 78 to:
% 42.15/13.14  																																															| (128)  ~ (all_0_85_85 = e1)
% 42.15/13.14  																																															|
% 42.15/13.14  																																															| Equations (504) can reduce 1110 to:
% 42.15/13.14  																																															| (264)  ~ (e1 = e0)
% 42.15/13.14  																																															|
% 42.15/13.14  																																															+-Applying beta-rule and splitting (849), into two cases.
% 42.15/13.14  																																															|-Branch one:
% 42.15/13.14  																																															| (588) all_0_91_91 = e3
% 42.15/13.14  																																															|
% 42.15/13.14  																																																| Equations (588) can reduce 571 to:
% 42.15/13.14  																																																| (311) $false
% 42.15/13.14  																																																|
% 42.15/13.14  																																																|-The branch is then unsatisfiable
% 42.15/13.14  																																															|-Branch two:
% 42.15/13.14  																																															| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.14  																																															| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.14  																																															|
% 42.15/13.14  																																																+-Applying beta-rule and splitting (881), into two cases.
% 42.15/13.14  																																																|-Branch one:
% 42.15/13.14  																																																| (882) all_0_92_92 = e3
% 42.15/13.14  																																																|
% 42.15/13.14  																																																	| Equations (882) can reduce 87 to:
% 42.15/13.14  																																																	| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.14  																																																	|
% 42.15/13.14  																																																	| Equations (882) can reduce 265 to:
% 42.15/13.14  																																																	| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.14  																																																	|
% 42.15/13.14  																																																	+-Applying beta-rule and splitting (210), into two cases.
% 42.15/13.14  																																																	|-Branch one:
% 42.15/13.14  																																																	| (433) all_0_80_80 = e4
% 42.15/13.14  																																																	|
% 42.15/13.14  																																																		| Combining equations (546,433) yields a new equation:
% 42.15/13.14  																																																		| (310) e4 = e2
% 42.15/13.14  																																																		|
% 42.15/13.14  																																																		| Equations (310) can reduce 79 to:
% 42.15/13.14  																																																		| (311) $false
% 42.15/13.14  																																																		|
% 42.15/13.14  																																																		|-The branch is then unsatisfiable
% 42.15/13.14  																																																	|-Branch two:
% 42.15/13.14  																																																	| (436)  ~ (all_0_80_80 = e4)
% 42.15/13.14  																																																	| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 42.15/13.14  																																																	|
% 42.15/13.14  																																																		+-Applying beta-rule and splitting (915), into two cases.
% 42.15/13.14  																																																		|-Branch one:
% 42.15/13.14  																																																		| (378) all_0_86_86 = e0
% 42.15/13.14  																																																		|
% 42.15/13.14  																																																			| Combining equations (345,378) yields a new equation:
% 42.15/13.14  																																																			| (923) e2 = e0
% 42.15/13.14  																																																			|
% 42.15/13.14  																																																			| Simplifying 923 yields:
% 42.15/13.14  																																																			| (379) e2 = e0
% 42.15/13.14  																																																			|
% 42.15/13.14  																																																			| Equations (379) can reduce 76 to:
% 42.15/13.14  																																																			| (311) $false
% 42.15/13.14  																																																			|
% 42.15/13.14  																																																			|-The branch is then unsatisfiable
% 42.15/13.14  																																																		|-Branch two:
% 42.15/13.14  																																																		| (381)  ~ (all_0_86_86 = e0)
% 42.15/13.14  																																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.14  																																																		|
% 42.15/13.14  																																																			+-Applying beta-rule and splitting (437), into two cases.
% 42.15/13.14  																																																			|-Branch one:
% 42.15/13.14  																																																			| (438) all_0_84_84 = e4
% 42.15/13.14  																																																			|
% 42.15/13.14  																																																				| Equations (438) can reduce 154 to:
% 42.15/13.14  																																																				| (647)  ~ (all_0_85_85 = e4)
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																				| Simplifying 647 yields:
% 42.15/13.14  																																																				| (648)  ~ (all_0_85_85 = e4)
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																				| Equations (438) can reduce 422 to:
% 42.15/13.14  																																																				| (177)  ~ (e4 = e3)
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																				| Equations (438) can reduce 612 to:
% 42.15/13.14  																																																				| (79)  ~ (e4 = e2)
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																				+-Applying beta-rule and splitting (168), into two cases.
% 42.15/13.14  																																																				|-Branch one:
% 42.15/13.14  																																																				| (638) all_0_81_81 = e4
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																					| Combining equations (635,638) yields a new equation:
% 42.15/13.14  																																																					| (434) e4 = e3
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																					| Equations (434) can reduce 177 to:
% 42.15/13.14  																																																					| (311) $false
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																					|-The branch is then unsatisfiable
% 42.15/13.14  																																																				|-Branch two:
% 42.15/13.14  																																																				| (634)  ~ (all_0_81_81 = e4)
% 42.15/13.14  																																																				| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																					+-Applying beta-rule and splitting (927), into two cases.
% 42.15/13.14  																																																					|-Branch one:
% 42.15/13.14  																																																					| (758) all_0_90_90 = e0
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																						| Combining equations (750,758) yields a new equation:
% 42.15/13.14  																																																						| (1107) e1 = e0
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 1107 yields:
% 42.15/13.14  																																																						| (865) e1 = e0
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Equations (865) can reduce 264 to:
% 42.15/13.14  																																																						| (311) $false
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						|-The branch is then unsatisfiable
% 42.15/13.14  																																																					|-Branch two:
% 42.15/13.14  																																																					| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.14  																																																					| (858) all_0_95_95 = e0
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																						| Equations (858) can reduce 315 to:
% 42.15/13.14  																																																						| (904)  ~ (e4 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 904 yields:
% 42.15/13.14  																																																						| (23)  ~ (e4 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Equations (858) can reduce 355 to:
% 42.15/13.14  																																																						| (510)  ~ (e2 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 510 yields:
% 42.15/13.14  																																																						| (76)  ~ (e2 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Equations (858) can reduce 680 to:
% 42.15/13.14  																																																						| (859)  ~ (e1 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 859 yields:
% 42.15/13.14  																																																						| (264)  ~ (e1 = e0)
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						+-Applying beta-rule and splitting (2559), into two cases.
% 42.15/13.14  																																																						|-Branch one:
% 42.15/13.14  																																																						| (493) all_0_85_85 = e4
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																							| Equations (493) can reduce 648 to:
% 42.15/13.14  																																																							| (311) $false
% 42.15/13.14  																																																							|
% 42.15/13.14  																																																							|-The branch is then unsatisfiable
% 42.15/13.14  																																																						|-Branch two:
% 42.15/13.14  																																																						| (648)  ~ (all_0_85_85 = e4)
% 42.15/13.14  																																																						| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																							+-Applying beta-rule and splitting (2576), into two cases.
% 42.15/13.14  																																																							|-Branch one:
% 42.15/13.14  																																																							| (607) all_0_93_93 = e4
% 42.15/13.14  																																																							|
% 42.15/13.14  																																																								+-Applying beta-rule and splitting (289), into two cases.
% 42.15/13.14  																																																								|-Branch one:
% 42.15/13.14  																																																								| (954) all_0_85_85 = e0
% 42.15/13.14  																																																								|
% 42.15/13.14  																																																									| Equations (954) can reduce 128 to:
% 42.15/13.14  																																																									| (859)  ~ (e1 = e0)
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																									| Simplifying 859 yields:
% 42.15/13.14  																																																									| (264)  ~ (e1 = e0)
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																									+-Applying beta-rule and splitting (291), into two cases.
% 42.15/13.14  																																																									|-Branch one:
% 42.15/13.14  																																																									| (758) all_0_90_90 = e0
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																										| Combining equations (750,758) yields a new equation:
% 42.15/13.14  																																																										| (1107) e1 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										| Simplifying 1107 yields:
% 42.15/13.14  																																																										| (865) e1 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										| Equations (865) can reduce 264 to:
% 42.15/13.14  																																																										| (311) $false
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										|-The branch is then unsatisfiable
% 42.15/13.14  																																																									|-Branch two:
% 42.15/13.14  																																																									| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.14  																																																									| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																										+-Applying beta-rule and splitting (1726), into two cases.
% 42.15/13.14  																																																										|-Branch one:
% 42.15/13.14  																																																										| (801) all_0_91_91 = e1
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																											| Equations (801) can reduce 959 to:
% 42.15/13.14  																																																											| (311) $false
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											|-The branch is then unsatisfiable
% 42.15/13.14  																																																										|-Branch two:
% 42.15/13.14  																																																										| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.14  																																																										| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																											+-Applying beta-rule and splitting (1455), into two cases.
% 42.15/13.14  																																																											|-Branch one:
% 42.15/13.14  																																																											| (1456) all_0_91_91 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																												| Equations (1456) can reduce 296 to:
% 42.15/13.14  																																																												| (510)  ~ (e2 = e0)
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																												| Simplifying 510 yields:
% 42.15/13.14  																																																												| (76)  ~ (e2 = e0)
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																												| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.15/13.14  																																																												| (379) e2 = e0
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																												| Equations (379) can reduce 76 to:
% 42.15/13.14  																																																												| (311) $false
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																												|-The branch is then unsatisfiable
% 42.15/13.14  																																																											|-Branch two:
% 42.15/13.14  																																																											| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.14  																																																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																												+-Applying beta-rule and splitting (1880), into two cases.
% 42.15/13.14  																																																												|-Branch one:
% 42.15/13.14  																																																												| (588) all_0_91_91 = e3
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																													| Equations (588) can reduce 571 to:
% 42.15/13.14  																																																													| (311) $false
% 42.15/13.14  																																																													|
% 42.15/13.14  																																																													|-The branch is then unsatisfiable
% 42.15/13.14  																																																												|-Branch two:
% 42.15/13.14  																																																												| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.14  																																																												| (1456) all_0_91_91 = e0
% 42.15/13.14  																																																												|
% 42.15/13.14  																																																													| Equations (1456) can reduce 1487 to:
% 42.15/13.14  																																																													| (311) $false
% 42.15/13.14  																																																													|
% 42.15/13.14  																																																													|-The branch is then unsatisfiable
% 42.15/13.14  																																																								|-Branch two:
% 42.15/13.14  																																																								| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.14  																																																								| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.15/13.14  																																																								|
% 42.15/13.14  																																																									+-Applying beta-rule and splitting (1077), into two cases.
% 42.15/13.14  																																																									|-Branch one:
% 42.15/13.14  																																																									| (507) all_0_88_88 = e0
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																										| Combining equations (504,507) yields a new equation:
% 42.15/13.14  																																																										| (1107) e1 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										| Simplifying 1107 yields:
% 42.15/13.14  																																																										| (865) e1 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										| Equations (865) can reduce 264 to:
% 42.15/13.14  																																																										| (311) $false
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																										|-The branch is then unsatisfiable
% 42.15/13.14  																																																									|-Branch two:
% 42.15/13.14  																																																									| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.14  																																																									| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.15/13.14  																																																									|
% 42.15/13.14  																																																										+-Applying beta-rule and splitting (1111), into two cases.
% 42.15/13.14  																																																										|-Branch one:
% 42.15/13.14  																																																										| (604) all_0_93_93 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																											| Combining equations (607,604) yields a new equation:
% 42.15/13.14  																																																											| (911) e4 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											| Simplifying 911 yields:
% 42.15/13.14  																																																											| (912) e4 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											| Equations (912) can reduce 23 to:
% 42.15/13.14  																																																											| (311) $false
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											|-The branch is then unsatisfiable
% 42.15/13.14  																																																										|-Branch two:
% 42.15/13.14  																																																										| (509)  ~ (all_0_93_93 = e0)
% 42.15/13.14  																																																										| (1121) all_0_98_98 = e0
% 42.15/13.14  																																																										|
% 42.15/13.14  																																																											| Combining equations (525,1121) yields a new equation:
% 42.15/13.14  																																																											| (923) e2 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											| Simplifying 923 yields:
% 42.15/13.14  																																																											| (379) e2 = e0
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											| Equations (379) can reduce 76 to:
% 42.15/13.14  																																																											| (311) $false
% 42.15/13.14  																																																											|
% 42.15/13.14  																																																											|-The branch is then unsatisfiable
% 42.15/13.14  																																																							|-Branch two:
% 42.15/13.14  																																																							| (496)  ~ (all_0_93_93 = e4)
% 42.15/13.14  																																																							| (2650) all_0_98_98 = e4
% 42.15/13.14  																																																							|
% 42.15/13.14  																																																								| Combining equations (2650,525) yields a new equation:
% 42.15/13.14  																																																								| (309) e4 = e2
% 42.15/13.14  																																																								|
% 42.15/13.14  																																																								| Simplifying 309 yields:
% 42.15/13.14  																																																								| (310) e4 = e2
% 42.15/13.14  																																																								|
% 42.15/13.14  																																																								| Equations (310) can reduce 79 to:
% 42.15/13.14  																																																								| (311) $false
% 42.15/13.14  																																																								|
% 42.15/13.14  																																																								|-The branch is then unsatisfiable
% 42.15/13.14  																																																			|-Branch two:
% 42.15/13.14  																																																			| (417)  ~ (all_0_84_84 = e4)
% 42.15/13.14  																																																			| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 42.15/13.14  																																																			|
% 42.15/13.14  																																																				+-Applying beta-rule and splitting (472), into two cases.
% 42.15/13.14  																																																				|-Branch one:
% 42.15/13.14  																																																				| (438) all_0_84_84 = e4
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																					| Equations (438) can reduce 417 to:
% 42.15/13.14  																																																					| (311) $false
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																					|-The branch is then unsatisfiable
% 42.15/13.14  																																																				|-Branch two:
% 42.15/13.14  																																																				| (417)  ~ (all_0_84_84 = e4)
% 42.15/13.14  																																																				| (493) all_0_85_85 = e4
% 42.15/13.14  																																																				|
% 42.15/13.14  																																																					| Equations (493) can reduce 952 to:
% 42.15/13.14  																																																					| (177)  ~ (e4 = e3)
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																					| Equations (493) can reduce 128 to:
% 42.15/13.14  																																																					| (256)  ~ (e4 = e1)
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																					+-Applying beta-rule and splitting (441), into two cases.
% 42.15/13.14  																																																					|-Branch one:
% 42.15/13.14  																																																					| (442) all_0_92_92 = e4
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																						| Combining equations (442,882) yields a new equation:
% 42.15/13.14  																																																						| (790) e4 = e3
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 790 yields:
% 42.15/13.14  																																																						| (434) e4 = e3
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Equations (434) can reduce 177 to:
% 42.15/13.14  																																																						| (311) $false
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						|-The branch is then unsatisfiable
% 42.15/13.14  																																																					|-Branch two:
% 42.15/13.14  																																																					| (1619)  ~ (all_0_92_92 = e4)
% 42.15/13.14  																																																					| (610) all_0_97_97 = e4
% 42.15/13.14  																																																					|
% 42.15/13.14  																																																						| Combining equations (610,542) yields a new equation:
% 42.15/13.14  																																																						| (813) e4 = e1
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Simplifying 813 yields:
% 42.15/13.14  																																																						| (814) e4 = e1
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						| Equations (814) can reduce 256 to:
% 42.15/13.14  																																																						| (311) $false
% 42.15/13.14  																																																						|
% 42.15/13.14  																																																						|-The branch is then unsatisfiable
% 42.15/13.14  																																																|-Branch two:
% 42.15/13.14  																																																| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.14  																																																| (570) all_0_93_93 = e3
% 42.15/13.14  																																																|
% 42.15/13.14  																																																	| Equations (570) can reduce 602 to:
% 42.15/13.14  																																																	| (311) $false
% 42.15/13.14  																																																	|
% 42.15/13.14  																																																	|-The branch is then unsatisfiable
% 42.15/13.14  																																														|-Branch two:
% 42.15/13.14  																																														| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.14  																																														| (507) all_0_88_88 = e0
% 42.15/13.14  																																														|
% 42.15/13.14  																																															| Equations (507) can reduce 1110 to:
% 42.15/13.14  																																															| (311) $false
% 42.15/13.14  																																															|
% 42.15/13.14  																																															|-The branch is then unsatisfiable
% 42.15/13.14  																																												|-Branch two:
% 42.15/13.14  																																												| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.14  																																												| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.14  																																												|
% 42.15/13.14  																																													+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.14  																																													|-Branch one:
% 42.15/13.14  																																													| (504) all_0_88_88 = e1
% 42.15/13.14  																																													|
% 42.15/13.14  																																														| Equations (504) can reduce 191 to:
% 42.15/13.14  																																														| (683)  ~ (e3 = e1)
% 42.15/13.14  																																														|
% 42.15/13.14  																																														| Simplifying 683 yields:
% 42.15/13.14  																																														| (20)  ~ (e3 = e1)
% 42.15/13.14  																																														|
% 42.15/13.14  																																														+-Applying beta-rule and splitting (965), into two cases.
% 42.15/13.14  																																														|-Branch one:
% 42.15/13.14  																																														| (556) all_0_97_97 = e3
% 42.15/13.14  																																														|
% 42.15/13.14  																																															| Combining equations (542,556) yields a new equation:
% 42.15/13.14  																																															| (772) e3 = e1
% 42.15/13.14  																																															|
% 42.15/13.14  																																															| Equations (772) can reduce 20 to:
% 42.15/13.14  																																															| (311) $false
% 42.15/13.14  																																															|
% 42.15/13.14  																																															|-The branch is then unsatisfiable
% 42.15/13.14  																																														|-Branch two:
% 42.15/13.14  																																														| (428)  ~ (all_0_97_97 = e3)
% 42.15/13.14  																																														| (969) all_0_98_98 = e3
% 42.15/13.14  																																														|
% 42.15/13.14  																																															| Combining equations (969,525) yields a new equation:
% 42.15/13.14  																																															| (547) e3 = e2
% 42.15/13.14  																																															|
% 42.15/13.14  																																															| Simplifying 547 yields:
% 42.15/13.14  																																															| (548) e3 = e2
% 42.15/13.14  																																															|
% 42.15/13.14  																																															| Equations (548) can reduce 169 to:
% 42.15/13.14  																																															| (311) $false
% 42.15/13.14  																																															|
% 42.15/13.14  																																															|-The branch is then unsatisfiable
% 42.15/13.14  																																													|-Branch two:
% 42.15/13.14  																																													| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.14  																																													| (507) all_0_88_88 = e0
% 42.15/13.14  																																													|
% 42.15/13.14  																																														| Equations (507) can reduce 1110 to:
% 42.15/13.14  																																														| (311) $false
% 42.15/13.14  																																														|
% 42.15/13.14  																																														|-The branch is then unsatisfiable
% 42.15/13.14  																																									|-Branch two:
% 42.15/13.14  																																									| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.14  																																									| (785) all_0_95_95 = e1
% 42.15/13.14  																																									|
% 42.15/13.14  																																										| Equations (785) can reduce 680 to:
% 42.15/13.14  																																										| (311) $false
% 42.15/13.14  																																										|
% 42.15/13.14  																																										|-The branch is then unsatisfiable
% 42.15/13.14  																																				|-Branch two:
% 42.15/13.14  																																				| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.14  																																				| (1543) all_0_98_98 = e1
% 42.15/13.14  																																				|
% 42.15/13.14  																																					| Combining equations (525,1543) yields a new equation:
% 42.15/13.14  																																					| (408) e2 = e1
% 42.15/13.14  																																					|
% 42.15/13.14  																																					| Simplifying 408 yields:
% 42.15/13.14  																																					| (385) e2 = e1
% 42.15/13.14  																																					|
% 42.15/13.14  																																					| Equations (385) can reduce 243 to:
% 42.15/13.14  																																					| (311) $false
% 42.15/13.14  																																					|
% 42.15/13.14  																																					|-The branch is then unsatisfiable
% 42.15/13.14  																															|-Branch two:
% 42.15/13.14  																															| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.14  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.14  																															|
% 42.15/13.14  																																+-Applying beta-rule and splitting (2205), into two cases.
% 42.15/13.14  																																|-Branch one:
% 42.15/13.14  																																| (789) all_0_82_82 = e3
% 42.15/13.14  																																|
% 42.15/13.14  																																	| Equations (789) can reduce 793 to:
% 42.15/13.14  																																	| (311) $false
% 42.15/13.14  																																	|
% 42.15/13.14  																																	|-The branch is then unsatisfiable
% 42.15/13.14  																																|-Branch two:
% 42.15/13.14  																																| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.14  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 42.15/13.14  																																|
% 42.15/13.14  																																	+-Applying beta-rule and splitting (2706), into two cases.
% 42.15/13.14  																																	|-Branch one:
% 42.15/13.14  																																	| (910) all_0_82_82 = e0
% 42.15/13.14  																																	|
% 42.15/13.14  																																		| Equations (910) can reduce 209 to:
% 42.15/13.14  																																		| (799)  ~ (all_0_85_85 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		| Simplifying 799 yields:
% 42.15/13.14  																																		| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		| Equations (910) can reduce 255 to:
% 42.15/13.14  																																		| (2710)  ~ (all_0_90_90 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		| Simplifying 2710 yields:
% 42.15/13.14  																																		| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		| Equations (910) can reduce 200 to:
% 42.15/13.14  																																		| (2712)  ~ (all_0_95_95 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		| Simplifying 2712 yields:
% 42.15/13.14  																																		| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.14  																																		|
% 42.15/13.14  																																		+-Applying beta-rule and splitting (1296), into two cases.
% 42.15/13.14  																																		|-Branch one:
% 42.15/13.14  																																		| (795) all_0_83_83 = e3
% 42.15/13.14  																																		|
% 42.15/13.14  																																			| Combining equations (453,795) yields a new equation:
% 42.15/13.14  																																			| (548) e3 = e2
% 42.15/13.14  																																			|
% 42.15/13.14  																																			| Equations (548) can reduce 169 to:
% 42.15/13.14  																																			| (311) $false
% 42.15/13.14  																																			|
% 42.15/13.14  																																			|-The branch is then unsatisfiable
% 42.15/13.14  																																		|-Branch two:
% 42.15/13.14  																																		| (779)  ~ (all_0_83_83 = e3)
% 42.15/13.14  																																		| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.14  																																		|
% 42.15/13.14  																																			+-Applying beta-rule and splitting (182), into two cases.
% 42.15/13.14  																																			|-Branch one:
% 42.15/13.14  																																			| (512) all_0_85_85 = e2
% 42.15/13.14  																																			|
% 42.15/13.14  																																				| Equations (512) can reduce 515 to:
% 42.15/13.14  																																				| (311) $false
% 42.15/13.14  																																				|
% 42.15/13.14  																																				|-The branch is then unsatisfiable
% 42.15/13.14  																																			|-Branch two:
% 42.15/13.14  																																			| (515)  ~ (all_0_85_85 = e2)
% 42.15/13.14  																																			| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.15/13.14  																																			|
% 42.15/13.14  																																				+-Applying beta-rule and splitting (725), into two cases.
% 42.15/13.14  																																				|-Branch one:
% 42.15/13.14  																																				| (804) all_0_85_85 = e3
% 42.15/13.14  																																				|
% 42.15/13.14  																																					| Equations (804) can reduce 952 to:
% 42.15/13.14  																																					| (311) $false
% 42.15/13.14  																																					|
% 42.15/13.14  																																					|-The branch is then unsatisfiable
% 42.15/13.14  																																				|-Branch two:
% 42.15/13.14  																																				| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.14  																																				| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.15/13.14  																																				|
% 42.15/13.14  																																					+-Applying beta-rule and splitting (1594), into two cases.
% 42.15/13.14  																																					|-Branch one:
% 42.15/13.14  																																					| (1265) all_0_84_84 = e3
% 42.15/13.14  																																					|
% 42.15/13.14  																																						| Equations (1265) can reduce 124 to:
% 42.15/13.14  																																						| (423)  ~ (all_0_87_87 = e3)
% 42.15/13.14  																																						|
% 42.15/13.14  																																						| Simplifying 423 yields:
% 42.15/13.14  																																						| (227)  ~ (all_0_87_87 = e3)
% 42.15/13.14  																																						|
% 42.15/13.15  																																						| Equations (1265) can reduce 87 to:
% 42.15/13.15  																																						| (425)  ~ (all_0_92_92 = e3)
% 42.15/13.15  																																						|
% 42.15/13.15  																																						| Simplifying 425 yields:
% 42.15/13.15  																																						| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.15  																																						|
% 42.15/13.15  																																						| Equations (1265) can reduce 259 to:
% 42.15/13.15  																																						| (20)  ~ (e3 = e1)
% 42.15/13.15  																																						|
% 42.15/13.15  																																						+-Applying beta-rule and splitting (953), into two cases.
% 42.15/13.15  																																						|-Branch one:
% 42.15/13.15  																																						| (954) all_0_85_85 = e0
% 42.15/13.15  																																						|
% 42.15/13.15  																																							| Equations (954) can reduce 800 to:
% 42.15/13.15  																																							| (311) $false
% 42.15/13.15  																																							|
% 42.15/13.15  																																							|-The branch is then unsatisfiable
% 42.15/13.15  																																						|-Branch two:
% 42.15/13.15  																																						| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.15  																																						| (493) all_0_85_85 = e4
% 42.15/13.15  																																						|
% 42.15/13.15  																																							| Equations (493) can reduce 78 to:
% 42.15/13.15  																																							| (649)  ~ (all_0_88_88 = e4)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Simplifying 649 yields:
% 42.15/13.15  																																							| (93)  ~ (all_0_88_88 = e4)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Equations (493) can reduce 201 to:
% 42.15/13.15  																																							| (495)  ~ (all_0_93_93 = e4)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Simplifying 495 yields:
% 42.15/13.15  																																							| (496)  ~ (all_0_93_93 = e4)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Equations (493) can reduce 515 to:
% 42.15/13.15  																																							| (79)  ~ (e4 = e2)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Equations (493) can reduce 128 to:
% 42.15/13.15  																																							| (256)  ~ (e4 = e1)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							| Equations (493) can reduce 800 to:
% 42.15/13.15  																																							| (23)  ~ (e4 = e0)
% 42.15/13.15  																																							|
% 42.15/13.15  																																							+-Applying beta-rule and splitting (46), into two cases.
% 42.15/13.15  																																							|-Branch one:
% 42.15/13.15  																																							| (308) all_0_89_89 = e4
% 42.15/13.15  																																							|
% 42.15/13.15  																																								| Combining equations (292,308) yields a new equation:
% 42.15/13.15  																																								| (310) e4 = e2
% 42.15/13.15  																																								|
% 42.15/13.15  																																								| Equations (310) can reduce 79 to:
% 42.15/13.15  																																								| (311) $false
% 42.15/13.15  																																								|
% 42.15/13.15  																																								|-The branch is then unsatisfiable
% 42.15/13.15  																																							|-Branch two:
% 42.15/13.15  																																							| (312)  ~ (all_0_89_89 = e4)
% 42.15/13.15  																																							| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.15/13.15  																																							|
% 42.15/13.15  																																								+-Applying beta-rule and splitting (1915), into two cases.
% 42.15/13.15  																																								|-Branch one:
% 42.15/13.15  																																								| (583) all_0_90_90 = e4
% 42.15/13.15  																																								|
% 42.15/13.15  																																									| Equations (583) can reduce 467 to:
% 42.15/13.15  																																									| (311) $false
% 42.15/13.15  																																									|
% 42.15/13.15  																																									|-The branch is then unsatisfiable
% 42.15/13.15  																																								|-Branch two:
% 42.15/13.15  																																								| (467)  ~ (all_0_90_90 = e4)
% 42.15/13.15  																																								| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.15/13.15  																																								|
% 42.15/13.15  																																									+-Applying beta-rule and splitting (1928), into two cases.
% 42.15/13.15  																																									|-Branch one:
% 42.15/13.15  																																									| (442) all_0_92_92 = e4
% 42.15/13.15  																																									|
% 42.15/13.15  																																										| Equations (442) can reduce 283 to:
% 42.15/13.15  																																										| (495)  ~ (all_0_93_93 = e4)
% 42.15/13.15  																																										|
% 42.15/13.15  																																										| Simplifying 495 yields:
% 42.15/13.15  																																										| (496)  ~ (all_0_93_93 = e4)
% 42.15/13.15  																																										|
% 42.15/13.15  																																										| Equations (442) can reduce 258 to:
% 42.15/13.15  																																										| (318)  ~ (all_0_97_97 = e4)
% 42.15/13.15  																																										|
% 42.15/13.15  																																										| Simplifying 318 yields:
% 42.15/13.15  																																										| (319)  ~ (all_0_97_97 = e4)
% 42.15/13.15  																																										|
% 42.15/13.15  																																										| Equations (442) can reduce 426 to:
% 42.15/13.15  																																										| (177)  ~ (e4 = e3)
% 42.15/13.15  																																										|
% 42.15/13.15  																																										+-Applying beta-rule and splitting (289), into two cases.
% 42.15/13.15  																																										|-Branch one:
% 42.15/13.15  																																										| (954) all_0_85_85 = e0
% 42.15/13.15  																																										|
% 42.15/13.15  																																											| Combining equations (493,954) yields a new equation:
% 42.15/13.15  																																											| (911) e4 = e0
% 42.15/13.15  																																											|
% 42.15/13.15  																																											| Simplifying 911 yields:
% 42.15/13.15  																																											| (912) e4 = e0
% 42.15/13.15  																																											|
% 42.15/13.15  																																											| Equations (912) can reduce 23 to:
% 42.15/13.15  																																											| (311) $false
% 42.15/13.15  																																											|
% 42.15/13.15  																																											|-The branch is then unsatisfiable
% 42.15/13.15  																																										|-Branch two:
% 42.15/13.15  																																										| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.15  																																										| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.15/13.15  																																										|
% 42.15/13.15  																																											+-Applying beta-rule and splitting (132), into two cases.
% 42.15/13.15  																																											|-Branch one:
% 42.15/13.15  																																											| (750) all_0_90_90 = e1
% 42.15/13.15  																																											|
% 42.15/13.15  																																												| Equations (750) can reduce 34 to:
% 42.15/13.15  																																												| (480)  ~ (all_0_93_93 = e1)
% 42.15/13.15  																																												|
% 42.15/13.15  																																												| Simplifying 480 yields:
% 42.15/13.15  																																												| (481)  ~ (all_0_93_93 = e1)
% 42.15/13.15  																																												|
% 42.15/13.15  																																												| Equations (750) can reduce 229 to:
% 42.15/13.15  																																												| (679)  ~ (all_0_95_95 = e1)
% 42.15/13.15  																																												|
% 42.15/13.15  																																												| Simplifying 679 yields:
% 42.15/13.15  																																												| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.15  																																												|
% 42.15/13.15  																																												+-Applying beta-rule and splitting (65), into two cases.
% 42.15/13.15  																																												|-Branch one:
% 42.15/13.15  																																												| (522) all_0_93_93 = e2
% 42.15/13.15  																																												|
% 42.15/13.15  																																													| Equations (522) can reduce 300 to:
% 42.15/13.15  																																													| (311) $false
% 42.15/13.15  																																													|
% 42.15/13.15  																																													|-The branch is then unsatisfiable
% 42.15/13.15  																																												|-Branch two:
% 42.15/13.15  																																												| (300)  ~ (all_0_93_93 = e2)
% 42.15/13.15  																																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.15/13.15  																																												|
% 42.15/13.15  																																													+-Applying beta-rule and splitting (282), into two cases.
% 42.15/13.15  																																													|-Branch one:
% 42.15/13.15  																																													| (754) all_0_90_90 = e3
% 42.15/13.15  																																													|
% 42.15/13.15  																																														| Combining equations (754,750) yields a new equation:
% 42.15/13.15  																																														| (825) e3 = e1
% 42.15/13.15  																																														|
% 42.15/13.15  																																														| Simplifying 825 yields:
% 42.15/13.15  																																														| (772) e3 = e1
% 42.15/13.15  																																														|
% 42.15/13.15  																																														| Equations (772) can reduce 20 to:
% 42.15/13.15  																																														| (311) $false
% 42.15/13.15  																																														|
% 42.15/13.15  																																														|-The branch is then unsatisfiable
% 42.15/13.15  																																													|-Branch two:
% 42.15/13.15  																																													| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.15  																																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.15  																																													|
% 42.15/13.15  																																														+-Applying beta-rule and splitting (220), into two cases.
% 42.15/13.15  																																														|-Branch one:
% 42.15/13.15  																																														| (771) all_0_78_78 = e3
% 42.15/13.15  																																														|
% 42.15/13.15  																																															| Combining equations (771,463) yields a new equation:
% 42.15/13.15  																																															| (434) e4 = e3
% 42.15/13.15  																																															|
% 42.15/13.15  																																															| Equations (434) can reduce 177 to:
% 42.15/13.15  																																															| (311) $false
% 42.15/13.15  																																															|
% 42.15/13.15  																																															|-The branch is then unsatisfiable
% 42.15/13.15  																																														|-Branch two:
% 42.15/13.15  																																														| (418)  ~ (all_0_78_78 = e3)
% 42.15/13.15  																																														| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 42.15/13.15  																																														|
% 42.15/13.15  																																															| Equations (463) can reduce 418 to:
% 42.15/13.15  																																															| (177)  ~ (e4 = e3)
% 42.15/13.15  																																															|
% 42.15/13.15  																																															+-Applying beta-rule and splitting (565), into two cases.
% 42.15/13.15  																																															|-Branch one:
% 42.15/13.15  																																															| (566) all_0_93_93 = e1
% 42.15/13.15  																																															|
% 42.15/13.15  																																																| Equations (566) can reduce 481 to:
% 42.15/13.15  																																																| (311) $false
% 42.15/13.15  																																																|
% 42.15/13.15  																																																|-The branch is then unsatisfiable
% 42.15/13.15  																																															|-Branch two:
% 42.15/13.15  																																															| (481)  ~ (all_0_93_93 = e1)
% 42.15/13.15  																																															| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.15/13.15  																																															|
% 42.15/13.15  																																																+-Applying beta-rule and splitting (99), into two cases.
% 42.15/13.15  																																																|-Branch one:
% 42.15/13.15  																																																| (767) all_0_95_95 = e2
% 42.15/13.15  																																																|
% 42.15/13.15  																																																	| Equations (767) can reduce 355 to:
% 42.15/13.15  																																																	| (311) $false
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																	|-The branch is then unsatisfiable
% 42.15/13.15  																																																|-Branch two:
% 42.15/13.15  																																																| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.15  																																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 42.15/13.15  																																																|
% 42.15/13.15  																																																	+-Applying beta-rule and splitting (176), into two cases.
% 42.15/13.15  																																																	|-Branch one:
% 42.15/13.15  																																																	| (785) all_0_95_95 = e1
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																		| Equations (785) can reduce 680 to:
% 42.15/13.15  																																																		| (311) $false
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																		|-The branch is then unsatisfiable
% 42.15/13.15  																																																	|-Branch two:
% 42.15/13.15  																																																	| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.15  																																																	| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																		+-Applying beta-rule and splitting (849), into two cases.
% 42.15/13.15  																																																		|-Branch one:
% 42.15/13.15  																																																		| (588) all_0_91_91 = e3
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																			| Equations (588) can reduce 44 to:
% 42.15/13.15  																																																			| (807)  ~ (all_0_93_93 = e3)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Simplifying 807 yields:
% 42.15/13.15  																																																			| (602)  ~ (all_0_93_93 = e3)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			+-Applying beta-rule and splitting (569), into two cases.
% 42.15/13.15  																																																			|-Branch one:
% 42.15/13.15  																																																			| (570) all_0_93_93 = e3
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																				| Equations (570) can reduce 602 to:
% 42.15/13.15  																																																				| (311) $false
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																				|-The branch is then unsatisfiable
% 42.15/13.15  																																																			|-Branch two:
% 42.15/13.15  																																																			| (602)  ~ (all_0_93_93 = e3)
% 42.15/13.15  																																																			| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																				+-Applying beta-rule and splitting (770), into two cases.
% 42.15/13.15  																																																				|-Branch one:
% 42.15/13.15  																																																				| (785) all_0_95_95 = e1
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																					| Equations (785) can reduce 680 to:
% 42.15/13.15  																																																					| (311) $false
% 42.15/13.15  																																																					|
% 42.15/13.15  																																																					|-The branch is then unsatisfiable
% 42.15/13.15  																																																				|-Branch two:
% 42.15/13.15  																																																				| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.15  																																																				| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																					+-Applying beta-rule and splitting (853), into two cases.
% 42.15/13.15  																																																					|-Branch one:
% 42.15/13.15  																																																					| (744) all_0_95_95 = e3
% 42.15/13.15  																																																					|
% 42.15/13.15  																																																						| Equations (744) can reduce 105 to:
% 42.15/13.15  																																																						| (427)  ~ (all_0_97_97 = e3)
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																						| Simplifying 427 yields:
% 42.15/13.15  																																																						| (428)  ~ (all_0_97_97 = e3)
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																						+-Applying beta-rule and splitting (603), into two cases.
% 42.15/13.15  																																																						|-Branch one:
% 42.15/13.15  																																																						| (604) all_0_93_93 = e0
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																							| Equations (604) can reduce 286 to:
% 42.15/13.15  																																																							| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							| Equations (604) can reduce 602 to:
% 42.15/13.15  																																																							| (906)  ~ (e3 = e0)
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							| Simplifying 906 yields:
% 42.15/13.15  																																																							| (50)  ~ (e3 = e0)
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.15  																																																							|-Branch one:
% 42.15/13.15  																																																							| (1456) all_0_91_91 = e0
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																								| Combining equations (588,1456) yields a new equation:
% 42.15/13.15  																																																								| (599) e3 = e0
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																								| Simplifying 599 yields:
% 42.15/13.15  																																																								| (600) e3 = e0
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																								| Equations (600) can reduce 50 to:
% 42.15/13.15  																																																								| (311) $false
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																								|-The branch is then unsatisfiable
% 42.15/13.15  																																																							|-Branch two:
% 42.15/13.15  																																																							| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.15  																																																							| (1837) all_0_96_96 = e0
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																								| From (1837) and (4960) follows:
% 42.15/13.15  																																																								| (2170) op(e2, e0) = e0
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																								+-Applying beta-rule and splitting (112), into two cases.
% 42.15/13.15  																																																								|-Branch one:
% 42.15/13.15  																																																								| (538) all_0_97_97 = e2
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																									| Equations (538) can reduce 527 to:
% 42.15/13.15  																																																									| (311) $false
% 42.15/13.15  																																																									|
% 42.15/13.15  																																																									|-The branch is then unsatisfiable
% 42.15/13.15  																																																								|-Branch two:
% 42.15/13.15  																																																								| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.15  																																																								| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 42.15/13.15  																																																								|
% 42.15/13.15  																																																									+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.15  																																																									|-Branch one:
% 42.15/13.15  																																																									| (504) all_0_88_88 = e1
% 42.15/13.15  																																																									|
% 42.15/13.15  																																																										| Equations (504) can reduce 181 to:
% 42.15/13.15  																																																										| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.15  																																																										|
% 42.15/13.15  																																																										| From (504) and (230) follows:
% 42.15/13.15  																																																										| (2305) op(e2, e0) = e1
% 42.15/13.15  																																																										|
% 42.15/13.15  																																																										+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.15  																																																										|-Branch one:
% 42.15/13.15  																																																										| (482) all_0_87_87 = e1
% 42.15/13.15  																																																										|
% 42.15/13.15  																																																											| Equations (482) can reduce 625 to:
% 42.15/13.15  																																																											| (311) $false
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																											|-The branch is then unsatisfiable
% 42.15/13.15  																																																										|-Branch two:
% 42.15/13.15  																																																										| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.15  																																																										| (861) all_0_87_87 = e0
% 42.15/13.15  																																																										|
% 42.15/13.15  																																																											| Equations (861) can reduce 221 to:
% 42.15/13.15  																																																											| (938)  ~ (all_0_97_97 = e0)
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																											| Simplifying 938 yields:
% 42.15/13.15  																																																											| (609)  ~ (all_0_97_97 = e0)
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																											| From (861) and (83) follows:
% 42.15/13.15  																																																											| (6142) op(e2, e0) = all_0_65_65
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																											+-Applying beta-rule and splitting (541), into two cases.
% 42.15/13.15  																																																											|-Branch one:
% 42.15/13.15  																																																											| (542) all_0_97_97 = e1
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																												| Equations (542) can reduce 609 to:
% 42.15/13.15  																																																												| (264)  ~ (e1 = e0)
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																												| Instantiating formula (262) with e2, e0, e1, all_0_65_65 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e1, yields:
% 42.15/13.15  																																																												| (6145) all_0_65_65 = e1
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																												| Instantiating formula (262) with e2, e0, e0, all_0_65_65 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e0, yields:
% 42.15/13.15  																																																												| (6146) all_0_65_65 = e0
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																												| Combining equations (6146,6145) yields a new equation:
% 42.15/13.15  																																																												| (865) e1 = e0
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																												| Equations (865) can reduce 264 to:
% 42.15/13.15  																																																												| (311) $false
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																												|-The branch is then unsatisfiable
% 42.15/13.15  																																																											|-Branch two:
% 42.15/13.15  																																																											| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.15  																																																											| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 42.15/13.15  																																																											|
% 42.15/13.15  																																																												+-Applying beta-rule and splitting (545), into two cases.
% 42.15/13.15  																																																												|-Branch one:
% 42.15/13.15  																																																												| (556) all_0_97_97 = e3
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																													| Equations (556) can reduce 428 to:
% 42.15/13.15  																																																													| (311) $false
% 42.15/13.15  																																																													|
% 42.15/13.15  																																																													|-The branch is then unsatisfiable
% 42.15/13.15  																																																												|-Branch two:
% 42.15/13.15  																																																												| (428)  ~ (all_0_97_97 = e3)
% 42.15/13.15  																																																												| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 42.15/13.15  																																																												|
% 42.15/13.15  																																																													+-Applying beta-rule and splitting (559), into two cases.
% 42.15/13.15  																																																													|-Branch one:
% 42.15/13.15  																																																													| (560) all_0_97_97 = e0
% 42.15/13.15  																																																													|
% 42.15/13.15  																																																														| Equations (560) can reduce 609 to:
% 42.15/13.15  																																																														| (311) $false
% 42.15/13.15  																																																														|
% 42.15/13.15  																																																														|-The branch is then unsatisfiable
% 42.15/13.15  																																																													|-Branch two:
% 42.15/13.15  																																																													| (609)  ~ (all_0_97_97 = e0)
% 42.15/13.15  																																																													| (610) all_0_97_97 = e4
% 42.15/13.15  																																																													|
% 42.15/13.15  																																																														| Equations (610) can reduce 319 to:
% 42.15/13.15  																																																														| (311) $false
% 42.15/13.15  																																																														|
% 42.15/13.15  																																																														|-The branch is then unsatisfiable
% 42.15/13.15  																																																									|-Branch two:
% 42.15/13.15  																																																									| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.15  																																																									| (507) all_0_88_88 = e0
% 42.15/13.15  																																																									|
% 42.15/13.15  																																																										| Equations (507) can reduce 1110 to:
% 42.15/13.15  																																																										| (311) $false
% 42.15/13.15  																																																										|
% 42.15/13.15  																																																										|-The branch is then unsatisfiable
% 42.15/13.15  																																																						|-Branch two:
% 42.15/13.15  																																																						| (509)  ~ (all_0_93_93 = e0)
% 42.15/13.15  																																																						| (607) all_0_93_93 = e4
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																							| Equations (607) can reduce 496 to:
% 42.15/13.15  																																																							| (311) $false
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							|-The branch is then unsatisfiable
% 42.15/13.15  																																																					|-Branch two:
% 42.15/13.15  																																																					| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.15  																																																					| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 42.15/13.15  																																																					|
% 42.15/13.15  																																																						+-Applying beta-rule and splitting (857), into two cases.
% 42.15/13.15  																																																						|-Branch one:
% 42.15/13.15  																																																						| (858) all_0_95_95 = e0
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																							| Equations (858) can reduce 893 to:
% 42.15/13.15  																																																							| (311) $false
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							|-The branch is then unsatisfiable
% 42.15/13.15  																																																						|-Branch two:
% 42.15/13.15  																																																						| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.15  																																																						| (894) all_0_95_95 = e4
% 42.15/13.15  																																																						|
% 42.15/13.15  																																																							| Equations (894) can reduce 315 to:
% 42.15/13.15  																																																							| (311) $false
% 42.15/13.15  																																																							|
% 42.15/13.15  																																																							|-The branch is then unsatisfiable
% 42.15/13.15  																																																		|-Branch two:
% 42.15/13.15  																																																		| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.15  																																																		| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																			+-Applying beta-rule and splitting (881), into two cases.
% 42.15/13.15  																																																			|-Branch one:
% 42.15/13.15  																																																			| (882) all_0_92_92 = e3
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																				| Combining equations (882,442) yields a new equation:
% 42.15/13.15  																																																				| (434) e4 = e3
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																				| Equations (434) can reduce 177 to:
% 42.15/13.15  																																																				| (311) $false
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																				|-The branch is then unsatisfiable
% 42.15/13.15  																																																			|-Branch two:
% 42.15/13.15  																																																			| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.15  																																																			| (570) all_0_93_93 = e3
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																				| Equations (570) can reduce 602 to:
% 42.15/13.15  																																																				| (311) $false
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																				|-The branch is then unsatisfiable
% 42.15/13.15  																																											|-Branch two:
% 42.15/13.15  																																											| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.15  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.15  																																											|
% 42.15/13.15  																																												+-Applying beta-rule and splitting (27), into two cases.
% 42.15/13.15  																																												|-Branch one:
% 42.15/13.15  																																												| (746) all_0_90_90 = e2
% 42.15/13.15  																																												|
% 42.15/13.15  																																													| Equations (746) can reduce 294 to:
% 42.15/13.15  																																													| (311) $false
% 42.15/13.15  																																													|
% 42.15/13.15  																																													|-The branch is then unsatisfiable
% 42.15/13.15  																																												|-Branch two:
% 42.15/13.15  																																												| (294)  ~ (all_0_90_90 = e2)
% 42.15/13.15  																																												| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 42.15/13.15  																																												|
% 42.15/13.15  																																													+-Applying beta-rule and splitting (1526), into two cases.
% 42.15/13.15  																																													|-Branch one:
% 42.15/13.15  																																													| (801) all_0_91_91 = e1
% 42.15/13.15  																																													|
% 42.15/13.15  																																														| Equations (801) can reduce 959 to:
% 42.15/13.15  																																														| (311) $false
% 42.15/13.15  																																														|
% 42.15/13.15  																																														|-The branch is then unsatisfiable
% 42.15/13.15  																																													|-Branch two:
% 42.15/13.15  																																													| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.15  																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.15  																																													|
% 42.15/13.15  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 42.15/13.15  																																														|-Branch one:
% 42.15/13.15  																																														| (836) all_0_92_92 = e1
% 42.15/13.15  																																														|
% 42.15/13.15  																																															| Combining equations (836,442) yields a new equation:
% 42.15/13.15  																																															| (814) e4 = e1
% 42.15/13.15  																																															|
% 42.15/13.15  																																															| Equations (814) can reduce 256 to:
% 42.15/13.15  																																															| (311) $false
% 42.15/13.15  																																															|
% 42.15/13.15  																																															|-The branch is then unsatisfiable
% 42.15/13.15  																																														|-Branch two:
% 42.15/13.15  																																														| (840)  ~ (all_0_92_92 = e1)
% 42.15/13.15  																																														| (566) all_0_93_93 = e1
% 42.15/13.15  																																														|
% 42.15/13.15  																																															| Equations (566) can reduce 286 to:
% 42.15/13.15  																																															| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.15  																																															|
% 42.15/13.15  																																															| Equations (566) can reduce 44 to:
% 42.15/13.15  																																															| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.15  																																															|
% 42.15/13.15  																																															+-Applying beta-rule and splitting (1077), into two cases.
% 42.15/13.15  																																															|-Branch one:
% 42.15/13.15  																																															| (507) all_0_88_88 = e0
% 42.15/13.15  																																															|
% 42.15/13.15  																																																| Equations (507) can reduce 181 to:
% 42.15/13.15  																																																| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.15  																																																|
% 42.15/13.15  																																																| Equations (507) can reduce 93 to:
% 42.15/13.15  																																																| (904)  ~ (e4 = e0)
% 42.15/13.15  																																																|
% 42.15/13.15  																																																| Simplifying 904 yields:
% 42.15/13.15  																																																| (23)  ~ (e4 = e0)
% 42.15/13.15  																																																|
% 42.15/13.15  																																																| Equations (507) can reduce 191 to:
% 42.15/13.15  																																																| (906)  ~ (e3 = e0)
% 42.15/13.15  																																																|
% 42.15/13.15  																																																| Simplifying 906 yields:
% 42.15/13.15  																																																| (50)  ~ (e3 = e0)
% 42.15/13.15  																																																|
% 42.15/13.15  																																																+-Applying beta-rule and splitting (291), into two cases.
% 42.15/13.15  																																																|-Branch one:
% 42.15/13.15  																																																| (758) all_0_90_90 = e0
% 42.15/13.15  																																																|
% 42.15/13.15  																																																	| Equations (758) can reduce 762 to:
% 42.15/13.15  																																																	| (311) $false
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																	|-The branch is then unsatisfiable
% 42.15/13.15  																																																|-Branch two:
% 42.15/13.15  																																																| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.15  																																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.15/13.15  																																																|
% 42.15/13.15  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 42.15/13.15  																																																	|-Branch one:
% 42.15/13.15  																																																	| (916) all_0_84_84 = e0
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																		| Combining equations (1265,916) yields a new equation:
% 42.15/13.15  																																																		| (599) e3 = e0
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																		| Simplifying 599 yields:
% 42.15/13.15  																																																		| (600) e3 = e0
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																		| Equations (600) can reduce 50 to:
% 42.15/13.15  																																																		| (311) $false
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																		|-The branch is then unsatisfiable
% 42.15/13.15  																																																	|-Branch two:
% 42.15/13.15  																																																	| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.15  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.15  																																																	|
% 42.15/13.15  																																																		| Equations (1265) can reduce 919 to:
% 42.15/13.15  																																																		| (50)  ~ (e3 = e0)
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																		+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.15  																																																		|-Branch one:
% 42.15/13.15  																																																		| (482) all_0_87_87 = e1
% 42.15/13.15  																																																		|
% 42.15/13.15  																																																			| Equations (482) can reduce 221 to:
% 42.15/13.15  																																																			| (485)  ~ (all_0_97_97 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Simplifying 485 yields:
% 42.15/13.15  																																																			| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Equations (482) can reduce 227 to:
% 42.15/13.15  																																																			| (683)  ~ (e3 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Simplifying 683 yields:
% 42.15/13.15  																																																			| (20)  ~ (e3 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Equations (482) can reduce 349 to:
% 42.15/13.15  																																																			| (487)  ~ (e2 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			| Simplifying 487 yields:
% 42.15/13.15  																																																			| (243)  ~ (e2 = e1)
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																			+-Applying beta-rule and splitting (176), into two cases.
% 42.15/13.15  																																																			|-Branch one:
% 42.15/13.15  																																																			| (785) all_0_95_95 = e1
% 42.15/13.15  																																																			|
% 42.15/13.15  																																																				| Equations (785) can reduce 893 to:
% 42.15/13.15  																																																				| (264)  ~ (e1 = e0)
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																				+-Applying beta-rule and splitting (270), into two cases.
% 42.15/13.15  																																																				|-Branch one:
% 42.15/13.15  																																																				| (744) all_0_95_95 = e3
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																					| Combining equations (785,744) yields a new equation:
% 42.15/13.15  																																																					| (772) e3 = e1
% 42.15/13.15  																																																					|
% 42.15/13.15  																																																					| Equations (772) can reduce 20 to:
% 42.15/13.15  																																																					| (311) $false
% 42.15/13.15  																																																					|
% 42.15/13.15  																																																					|-The branch is then unsatisfiable
% 42.15/13.15  																																																				|-Branch two:
% 42.15/13.15  																																																				| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.15  																																																				| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.15  																																																				|
% 42.15/13.15  																																																					| Equations (785) can reduce 765 to:
% 42.15/13.15  																																																					| (683)  ~ (e3 = e1)
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																					| Simplifying 683 yields:
% 42.15/13.16  																																																					| (20)  ~ (e3 = e1)
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																					+-Applying beta-rule and splitting (220), into two cases.
% 42.15/13.16  																																																					|-Branch one:
% 42.15/13.16  																																																					| (771) all_0_78_78 = e3
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																						| Combining equations (463,771) yields a new equation:
% 42.15/13.16  																																																						| (790) e4 = e3
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						| Simplifying 790 yields:
% 42.15/13.16  																																																						| (434) e4 = e3
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						| Equations (434) can reduce 177 to:
% 42.15/13.16  																																																						| (311) $false
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						|-The branch is then unsatisfiable
% 42.15/13.16  																																																					|-Branch two:
% 42.15/13.16  																																																					| (418)  ~ (all_0_78_78 = e3)
% 42.15/13.16  																																																					| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																						| Equations (463) can reduce 418 to:
% 42.15/13.16  																																																						| (177)  ~ (e4 = e3)
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						+-Applying beta-rule and splitting (112), into two cases.
% 42.15/13.16  																																																						|-Branch one:
% 42.15/13.16  																																																						| (538) all_0_97_97 = e2
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																							| Equations (538) can reduce 527 to:
% 42.15/13.16  																																																							| (311) $false
% 42.15/13.16  																																																							|
% 42.15/13.16  																																																							|-The branch is then unsatisfiable
% 42.15/13.16  																																																						|-Branch two:
% 42.15/13.16  																																																						| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.16  																																																						| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																							+-Applying beta-rule and splitting (1455), into two cases.
% 42.15/13.16  																																																							|-Branch one:
% 42.15/13.16  																																																							| (1456) all_0_91_91 = e0
% 42.15/13.16  																																																							|
% 42.15/13.16  																																																								| Equations (1456) can reduce 103 to:
% 42.15/13.16  																																																								| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Equations (1456) can reduce 64 to:
% 42.15/13.16  																																																								| (2296)  ~ (all_0_96_96 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Simplifying 2296 yields:
% 42.15/13.16  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Equations (1456) can reduce 296 to:
% 42.15/13.16  																																																								| (510)  ~ (e2 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Simplifying 510 yields:
% 42.15/13.16  																																																								| (76)  ~ (e2 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Equations (1456) can reduce 959 to:
% 42.15/13.16  																																																								| (859)  ~ (e1 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								| Simplifying 859 yields:
% 42.15/13.16  																																																								| (264)  ~ (e1 = e0)
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																								+-Applying beta-rule and splitting (282), into two cases.
% 42.15/13.16  																																																								|-Branch one:
% 42.15/13.16  																																																								| (754) all_0_90_90 = e3
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																									| Equations (754) can reduce 294 to:
% 42.15/13.16  																																																									| (169)  ~ (e3 = e2)
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									| Equations (754) can reduce 762 to:
% 42.15/13.16  																																																									| (50)  ~ (e3 = e0)
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.16  																																																									|-Branch one:
% 42.15/13.16  																																																									| (858) all_0_95_95 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										| Combining equations (785,858) yields a new equation:
% 42.15/13.16  																																																										| (1107) e1 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Simplifying 1107 yields:
% 42.15/13.16  																																																										| (865) e1 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Equations (865) can reduce 264 to:
% 42.15/13.16  																																																										| (311) $false
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										|-The branch is then unsatisfiable
% 42.15/13.16  																																																									|-Branch two:
% 42.15/13.16  																																																									| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.16  																																																									| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										+-Applying beta-rule and splitting (1712), into two cases.
% 42.15/13.16  																																																										|-Branch one:
% 42.15/13.16  																																																										| (795) all_0_83_83 = e3
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																											| Combining equations (453,795) yields a new equation:
% 42.15/13.16  																																																											| (548) e3 = e2
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											| Equations (548) can reduce 169 to:
% 42.15/13.16  																																																											| (311) $false
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											|-The branch is then unsatisfiable
% 42.15/13.16  																																																										|-Branch two:
% 42.15/13.16  																																																										| (779)  ~ (all_0_83_83 = e3)
% 42.15/13.16  																																																										| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																											+-Applying beta-rule and splitting (1921), into two cases.
% 42.15/13.16  																																																											|-Branch one:
% 42.15/13.16  																																																											| (1837) all_0_96_96 = e0
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																												| Equations (1837) can reduce 2095 to:
% 42.15/13.16  																																																												| (311) $false
% 42.15/13.16  																																																												|
% 42.15/13.16  																																																												|-The branch is then unsatisfiable
% 42.15/13.16  																																																											|-Branch two:
% 42.15/13.16  																																																											| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.16  																																																											| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																												+-Applying beta-rule and splitting (766), into two cases.
% 42.15/13.16  																																																												|-Branch one:
% 42.15/13.16  																																																												| (778) all_0_96_96 = e3
% 42.15/13.16  																																																												|
% 42.15/13.16  																																																													| From (778) and (4960) follows:
% 42.15/13.16  																																																													| (5343) op(e2, e3) = e0
% 42.15/13.16  																																																													|
% 42.15/13.16  																																																													+-Applying beta-rule and splitting (2096), into two cases.
% 42.15/13.16  																																																													|-Branch one:
% 42.15/13.16  																																																													| (560) all_0_97_97 = e0
% 42.15/13.16  																																																													|
% 42.15/13.16  																																																														| Equations (560) can reduce 527 to:
% 42.15/13.16  																																																														| (510)  ~ (e2 = e0)
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														| Simplifying 510 yields:
% 42.15/13.16  																																																														| (76)  ~ (e2 = e0)
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.15/13.16  																																																														| (379) e2 = e0
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														| Equations (379) can reduce 76 to:
% 42.15/13.16  																																																														| (311) $false
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														|-The branch is then unsatisfiable
% 42.15/13.16  																																																													|-Branch two:
% 42.15/13.16  																																																													| (609)  ~ (all_0_97_97 = e0)
% 42.15/13.16  																																																													| (1121) all_0_98_98 = e0
% 42.15/13.16  																																																													|
% 42.15/13.16  																																																														| Combining equations (1121,525) yields a new equation:
% 42.15/13.16  																																																														| (379) e2 = e0
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														| Equations (379) can reduce 76 to:
% 42.15/13.16  																																																														| (311) $false
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														|-The branch is then unsatisfiable
% 42.15/13.16  																																																												|-Branch two:
% 42.15/13.16  																																																												| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.16  																																																												| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.16  																																																												|
% 42.15/13.16  																																																													+-Applying beta-rule and splitting (1842), into two cases.
% 42.15/13.16  																																																													|-Branch one:
% 42.15/13.16  																																																													| (588) all_0_91_91 = e3
% 42.15/13.16  																																																													|
% 42.15/13.16  																																																														| Combining equations (1456,588) yields a new equation:
% 42.15/13.16  																																																														| (600) e3 = e0
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														| Equations (600) can reduce 50 to:
% 42.15/13.16  																																																														| (311) $false
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														|-The branch is then unsatisfiable
% 42.15/13.16  																																																													|-Branch two:
% 42.15/13.16  																																																													| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.16  																																																													| (778) all_0_96_96 = e3
% 42.15/13.16  																																																													|
% 42.15/13.16  																																																														| Equations (778) can reduce 964 to:
% 42.15/13.16  																																																														| (311) $false
% 42.15/13.16  																																																														|
% 42.15/13.16  																																																														|-The branch is then unsatisfiable
% 42.15/13.16  																																																								|-Branch two:
% 42.15/13.16  																																																								| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.16  																																																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																									+-Applying beta-rule and splitting (849), into two cases.
% 42.15/13.16  																																																									|-Branch one:
% 42.15/13.16  																																																									| (588) all_0_91_91 = e3
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										| Combining equations (1456,588) yields a new equation:
% 42.15/13.16  																																																										| (600) e3 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Equations (600) can reduce 50 to:
% 42.15/13.16  																																																										| (311) $false
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										|-The branch is then unsatisfiable
% 42.15/13.16  																																																									|-Branch two:
% 42.15/13.16  																																																									| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.16  																																																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										+-Applying beta-rule and splitting (881), into two cases.
% 42.15/13.16  																																																										|-Branch one:
% 42.15/13.16  																																																										| (882) all_0_92_92 = e3
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																											| Combining equations (442,882) yields a new equation:
% 42.15/13.16  																																																											| (790) e4 = e3
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											| Simplifying 790 yields:
% 42.15/13.16  																																																											| (434) e4 = e3
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											| Equations (434) can reduce 177 to:
% 42.15/13.16  																																																											| (311) $false
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											|-The branch is then unsatisfiable
% 42.15/13.16  																																																										|-Branch two:
% 42.15/13.16  																																																										| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.16  																																																										| (570) all_0_93_93 = e3
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																											| Combining equations (566,570) yields a new equation:
% 42.15/13.16  																																																											| (772) e3 = e1
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											| Equations (772) can reduce 20 to:
% 42.15/13.16  																																																											| (311) $false
% 42.15/13.16  																																																											|
% 42.15/13.16  																																																											|-The branch is then unsatisfiable
% 42.15/13.16  																																																							|-Branch two:
% 42.15/13.16  																																																							| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.16  																																																							| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 42.15/13.16  																																																							|
% 42.15/13.16  																																																								+-Applying beta-rule and splitting (920), into two cases.
% 42.15/13.16  																																																								|-Branch one:
% 42.15/13.16  																																																								| (861) all_0_87_87 = e0
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																									| Combining equations (482,861) yields a new equation:
% 42.15/13.16  																																																									| (1107) e1 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									| Simplifying 1107 yields:
% 42.15/13.16  																																																									| (865) e1 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									| Equations (865) can reduce 264 to:
% 42.15/13.16  																																																									| (311) $false
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									|-The branch is then unsatisfiable
% 42.15/13.16  																																																								|-Branch two:
% 42.15/13.16  																																																								| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.16  																																																								| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.16  																																																								|
% 42.15/13.16  																																																									| Equations (482) can reduce 889 to:
% 42.15/13.16  																																																									| (264)  ~ (e1 = e0)
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																									+-Applying beta-rule and splitting (1488), into two cases.
% 42.15/13.16  																																																									|-Branch one:
% 42.15/13.16  																																																									| (942) all_0_92_92 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										| Combining equations (442,942) yields a new equation:
% 42.15/13.16  																																																										| (911) e4 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Simplifying 911 yields:
% 42.15/13.16  																																																										| (912) e4 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Equations (912) can reduce 23 to:
% 42.15/13.16  																																																										| (311) $false
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										|-The branch is then unsatisfiable
% 42.15/13.16  																																																									|-Branch two:
% 42.15/13.16  																																																									| (946)  ~ (all_0_92_92 = e0)
% 42.15/13.16  																																																									| (604) all_0_93_93 = e0
% 42.15/13.16  																																																									|
% 42.15/13.16  																																																										| Combining equations (604,566) yields a new equation:
% 42.15/13.16  																																																										| (865) e1 = e0
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										| Equations (865) can reduce 264 to:
% 42.15/13.16  																																																										| (311) $false
% 42.15/13.16  																																																										|
% 42.15/13.16  																																																										|-The branch is then unsatisfiable
% 42.15/13.16  																																																			|-Branch two:
% 42.15/13.16  																																																			| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.16  																																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.16  																																																			|
% 42.15/13.16  																																																				+-Applying beta-rule and splitting (788), into two cases.
% 42.15/13.16  																																																				|-Branch one:
% 42.15/13.16  																																																				| (960) all_0_96_96 = e1
% 42.15/13.16  																																																				|
% 42.15/13.16  																																																					| Equations (960) can reduce 1479 to:
% 42.15/13.16  																																																					| (311) $false
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																					|-The branch is then unsatisfiable
% 42.15/13.16  																																																				|-Branch two:
% 42.15/13.16  																																																				| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.16  																																																				| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.16  																																																				|
% 42.15/13.16  																																																					+-Applying beta-rule and splitting (2126), into two cases.
% 42.15/13.16  																																																					|-Branch one:
% 42.15/13.16  																																																					| (542) all_0_97_97 = e1
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																						| Equations (542) can reduce 486 to:
% 42.15/13.16  																																																						| (311) $false
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						|-The branch is then unsatisfiable
% 42.15/13.16  																																																					|-Branch two:
% 42.15/13.16  																																																					| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.16  																																																					| (1543) all_0_98_98 = e1
% 42.15/13.16  																																																					|
% 42.15/13.16  																																																						| Combining equations (525,1543) yields a new equation:
% 42.15/13.16  																																																						| (408) e2 = e1
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						| Simplifying 408 yields:
% 42.15/13.16  																																																						| (385) e2 = e1
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						| Equations (385) can reduce 243 to:
% 42.15/13.16  																																																						| (311) $false
% 42.15/13.16  																																																						|
% 42.15/13.16  																																																						|-The branch is then unsatisfiable
% 42.15/13.16  																																																		|-Branch two:
% 42.15/13.16  																																																		| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.16  																																																		| (861) all_0_87_87 = e0
% 42.15/13.16  																																																		|
% 42.15/13.16  																																																			| Equations (861) can reduce 889 to:
% 42.15/13.16  																																																			| (311) $false
% 42.15/13.16  																																																			|
% 42.15/13.16  																																																			|-The branch is then unsatisfiable
% 42.15/13.16  																																															|-Branch two:
% 42.15/13.16  																																															| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.16  																																															| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.15/13.16  																																															|
% 42.15/13.16  																																																+-Applying beta-rule and splitting (382), into two cases.
% 42.15/13.16  																																																|-Branch one:
% 42.15/13.16  																																																| (861) all_0_87_87 = e0
% 42.15/13.16  																																																|
% 42.15/13.16  																																																	| Equations (861) can reduce 181 to:
% 42.15/13.16  																																																	| (2507)  ~ (all_0_88_88 = e0)
% 42.15/13.16  																																																	|
% 42.15/13.16  																																																	| Simplifying 2507 yields:
% 42.15/13.16  																																																	| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.16  																																																	|
% 42.15/13.16  																																																	+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.16  																																																	|-Branch one:
% 42.15/13.16  																																																	| (504) all_0_88_88 = e1
% 42.15/13.16  																																																	|
% 42.15/13.16  																																																		| Equations (504) can reduce 479 to:
% 42.15/13.16  																																																		| (311) $false
% 42.15/13.16  																																																		|
% 42.15/13.16  																																																		|-The branch is then unsatisfiable
% 42.15/13.16  																																																	|-Branch two:
% 42.15/13.16  																																																	| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.16  																																																	| (507) all_0_88_88 = e0
% 42.15/13.16  																																																	|
% 42.15/13.16  																																																		| Equations (507) can reduce 1110 to:
% 42.15/13.16  																																																		| (311) $false
% 42.15/13.16  																																																		|
% 42.15/13.16  																																																		|-The branch is then unsatisfiable
% 42.15/13.16  																																																|-Branch two:
% 42.15/13.16  																																																| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.16  																																																| (507) all_0_88_88 = e0
% 42.15/13.16  																																																|
% 42.15/13.16  																																																	| Equations (507) can reduce 1110 to:
% 42.15/13.16  																																																	| (311) $false
% 42.15/13.16  																																																	|
% 42.15/13.16  																																																	|-The branch is then unsatisfiable
% 42.15/13.16  																																									|-Branch two:
% 42.15/13.16  																																									| (1619)  ~ (all_0_92_92 = e4)
% 42.15/13.16  																																									| (607) all_0_93_93 = e4
% 42.15/13.16  																																									|
% 42.15/13.16  																																										| Equations (607) can reduce 496 to:
% 42.15/13.16  																																										| (311) $false
% 42.15/13.16  																																										|
% 42.15/13.16  																																										|-The branch is then unsatisfiable
% 42.15/13.16  																																					|-Branch two:
% 42.15/13.16  																																					| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.16  																																					| (804) all_0_85_85 = e3
% 42.15/13.16  																																					|
% 42.15/13.16  																																						| Equations (804) can reduce 952 to:
% 42.15/13.16  																																						| (311) $false
% 42.15/13.16  																																						|
% 42.15/13.16  																																						|-The branch is then unsatisfiable
% 42.15/13.16  																																	|-Branch two:
% 42.15/13.16  																																	| (914)  ~ (all_0_82_82 = e0)
% 42.15/13.16  																																	| (469) all_0_82_82 = e4
% 42.15/13.16  																																	|
% 42.15/13.16  																																		| Equations (469) can reduce 465 to:
% 42.15/13.16  																																		| (311) $false
% 42.15/13.16  																																		|
% 42.15/13.16  																																		|-The branch is then unsatisfiable
% 42.15/13.16  																									|-Branch two:
% 42.15/13.16  																									| (394)  ~ (all_0_80_80 = e2)
% 42.15/13.16  																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 42.15/13.16  																									|
% 42.15/13.16  																										+-Applying beta-rule and splitting (205), into two cases.
% 42.15/13.16  																										|-Branch one:
% 42.15/13.16  																										| (473) all_0_81_81 = e2
% 42.15/13.16  																										|
% 42.15/13.16  																											| Combining equations (635,473) yields a new equation:
% 42.15/13.16  																											| (547) e3 = e2
% 42.15/13.16  																											|
% 42.15/13.16  																											| Simplifying 547 yields:
% 42.15/13.16  																											| (548) e3 = e2
% 42.15/13.16  																											|
% 42.15/13.16  																											| Equations (548) can reduce 169 to:
% 42.15/13.16  																											| (311) $false
% 42.15/13.16  																											|
% 42.15/13.16  																											|-The branch is then unsatisfiable
% 42.15/13.16  																										|-Branch two:
% 42.15/13.16  																										| (396)  ~ (all_0_81_81 = e2)
% 42.15/13.16  																										| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.15/13.16  																										|
% 42.15/13.16  																											| Equations (635) can reduce 396 to:
% 42.15/13.16  																											| (169)  ~ (e3 = e2)
% 42.15/13.16  																											|
% 42.15/13.16  																											+-Applying beta-rule and splitting (192), into two cases.
% 42.15/13.16  																											|-Branch one:
% 42.15/13.16  																											| (546) all_0_80_80 = e2
% 42.15/13.16  																											|
% 42.15/13.16  																												| Equations (546) can reduce 394 to:
% 42.15/13.16  																												| (311) $false
% 42.15/13.16  																												|
% 42.15/13.16  																												|-The branch is then unsatisfiable
% 42.15/13.16  																											|-Branch two:
% 42.15/13.16  																											| (394)  ~ (all_0_80_80 = e2)
% 42.15/13.16  																											| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 42.15/13.16  																											|
% 42.15/13.16  																												+-Applying beta-rule and splitting (1658), into two cases.
% 42.15/13.16  																												|-Branch one:
% 42.15/13.16  																												| (390) all_0_79_79 = e2
% 42.15/13.16  																												|
% 42.15/13.16  																													| Combining equations (390,457) yields a new equation:
% 42.15/13.16  																													| (408) e2 = e1
% 42.15/13.16  																													|
% 42.15/13.16  																													| Simplifying 408 yields:
% 42.15/13.16  																													| (385) e2 = e1
% 42.15/13.16  																													|
% 42.15/13.16  																													| Equations (385) can reduce 243 to:
% 42.15/13.16  																													| (311) $false
% 42.15/13.16  																													|
% 42.15/13.16  																													|-The branch is then unsatisfiable
% 42.15/13.16  																												|-Branch two:
% 42.15/13.16  																												| (1622)  ~ (all_0_79_79 = e2)
% 42.15/13.16  																												| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 42.15/13.16  																												|
% 42.15/13.16  																													+-Applying beta-rule and splitting (3249), into two cases.
% 42.15/13.16  																													|-Branch one:
% 42.15/13.16  																													| (546) all_0_80_80 = e2
% 42.15/13.16  																													|
% 42.15/13.16  																														| Equations (546) can reduce 394 to:
% 42.15/13.16  																														| (311) $false
% 42.15/13.16  																														|
% 42.15/13.16  																														|-The branch is then unsatisfiable
% 42.15/13.16  																													|-Branch two:
% 42.15/13.16  																													| (394)  ~ (all_0_80_80 = e2)
% 42.15/13.16  																													| (473) all_0_81_81 = e2
% 42.15/13.16  																													|
% 42.15/13.16  																														| Combining equations (635,473) yields a new equation:
% 42.15/13.16  																														| (547) e3 = e2
% 42.15/13.16  																														|
% 42.15/13.16  																														| Simplifying 547 yields:
% 42.15/13.16  																														| (548) e3 = e2
% 42.15/13.16  																														|
% 42.15/13.16  																														| Equations (548) can reduce 169 to:
% 42.15/13.16  																														| (311) $false
% 42.15/13.16  																														|
% 42.15/13.16  																														|-The branch is then unsatisfiable
% 42.15/13.16  																								|-Branch two:
% 42.15/13.16  																								| (420)  ~ (all_0_81_81 = e3)
% 42.15/13.16  																								| (638) all_0_81_81 = e4
% 42.15/13.16  																								|
% 42.15/13.16  																									| Equations (638) can reduce 634 to:
% 42.15/13.16  																									| (311) $false
% 42.15/13.16  																									|
% 42.15/13.16  																									|-The branch is then unsatisfiable
% 42.15/13.16  																				|-Branch two:
% 42.15/13.16  																				| (640)  ~ (all_0_78_78 = e4)
% 42.15/13.16  																				| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 42.15/13.16  																				|
% 42.15/13.16  																					+-Applying beta-rule and splitting (675), into two cases.
% 42.15/13.16  																					|-Branch one:
% 42.15/13.16  																					| (676) all_0_78_78 = e1
% 42.15/13.16  																					|
% 42.15/13.16  																						| Equations (676) can reduce 1601 to:
% 42.15/13.16  																						| (311) $false
% 42.15/13.16  																						|
% 42.15/13.16  																						|-The branch is then unsatisfiable
% 42.15/13.16  																					|-Branch two:
% 42.15/13.16  																					| (1601)  ~ (all_0_78_78 = e1)
% 42.15/13.16  																					| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 42.15/13.16  																					|
% 42.15/13.16  																						+-Applying beta-rule and splitting (1606), into two cases.
% 42.15/13.16  																						|-Branch one:
% 42.15/13.16  																						| (771) all_0_78_78 = e3
% 42.15/13.16  																						|
% 42.15/13.16  																							| Equations (771) can reduce 67 to:
% 42.15/13.16  																							| (3267)  ~ (all_0_80_80 = e3)
% 42.15/13.16  																							|
% 42.15/13.17  																							| Simplifying 3267 yields:
% 42.15/13.17  																							| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 278 to:
% 42.15/13.17  																							| (419)  ~ (all_0_81_81 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Simplifying 419 yields:
% 42.15/13.17  																							| (420)  ~ (all_0_81_81 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 193 to:
% 42.15/13.17  																							| (3271)  ~ (all_0_82_82 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Simplifying 3271 yields:
% 42.15/13.17  																							| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 85 to:
% 42.15/13.17  																							| (1815)  ~ (all_0_90_90 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Simplifying 1815 yields:
% 42.15/13.17  																							| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 125 to:
% 42.15/13.17  																							| (1070)  ~ (all_0_95_95 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Simplifying 1070 yields:
% 42.15/13.17  																							| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 1601 to:
% 42.15/13.17  																							| (20)  ~ (e3 = e1)
% 42.15/13.17  																							|
% 42.15/13.17  																							| Equations (771) can reduce 86 to:
% 42.15/13.17  																							| (50)  ~ (e3 = e0)
% 42.15/13.17  																							|
% 42.15/13.17  																							+-Applying beta-rule and splitting (45), into two cases.
% 42.15/13.17  																							|-Branch one:
% 42.15/13.17  																							| (546) all_0_80_80 = e2
% 42.15/13.17  																							|
% 42.15/13.17  																								| Equations (546) can reduce 273 to:
% 42.15/13.17  																								| (1631)  ~ (all_0_84_84 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Simplifying 1631 yields:
% 42.15/13.17  																								| (612)  ~ (all_0_84_84 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Equations (546) can reduce 73 to:
% 42.15/13.17  																								| (348)  ~ (all_0_87_87 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Simplifying 348 yields:
% 42.15/13.17  																								| (349)  ~ (all_0_87_87 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Equations (546) can reduce 49 to:
% 42.15/13.17  																								| (297)  ~ (all_0_92_92 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Simplifying 297 yields:
% 42.15/13.17  																								| (298)  ~ (all_0_92_92 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Equations (546) can reduce 202 to:
% 42.15/13.17  																								| (2376)  ~ (all_0_97_97 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Simplifying 2376 yields:
% 42.15/13.17  																								| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Equations (546) can reduce 2347 to:
% 42.15/13.17  																								| (356)  ~ (e3 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Simplifying 356 yields:
% 42.15/13.17  																								| (169)  ~ (e3 = e2)
% 42.15/13.17  																								|
% 42.15/13.17  																								| Equations (546) can reduce 828 to:
% 42.15/13.17  																								| (243)  ~ (e2 = e1)
% 42.15/13.17  																								|
% 42.15/13.17  																								+-Applying beta-rule and splitting (97), into two cases.
% 42.15/13.17  																								|-Branch one:
% 42.15/13.17  																								| (1757) all_0_94_94 = e2
% 42.15/13.17  																								|
% 42.15/13.17  																									| Combining equations (1757,313) yields a new equation:
% 42.15/13.17  																									| (310) e4 = e2
% 42.15/13.17  																									|
% 42.15/13.17  																									| Equations (310) can reduce 79 to:
% 42.15/13.17  																									| (311) $false
% 42.15/13.17  																									|
% 42.15/13.17  																									|-The branch is then unsatisfiable
% 42.15/13.17  																								|-Branch two:
% 42.15/13.17  																								| (1761)  ~ (all_0_94_94 = e2)
% 42.15/13.17  																								| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.17  																								|
% 42.15/13.17  																									| Equations (313) can reduce 1761 to:
% 42.15/13.17  																									| (79)  ~ (e4 = e2)
% 42.15/13.17  																									|
% 42.15/13.17  																									+-Applying beta-rule and splitting (1762), into two cases.
% 42.15/13.17  																									|-Branch one:
% 42.15/13.17  																									| (767) all_0_95_95 = e2
% 42.15/13.17  																									|
% 42.15/13.17  																										| Equations (767) can reduce 355 to:
% 42.15/13.17  																										| (311) $false
% 42.15/13.17  																										|
% 42.15/13.17  																										|-The branch is then unsatisfiable
% 42.15/13.17  																									|-Branch two:
% 42.15/13.17  																									| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.17  																									| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.17  																									|
% 42.15/13.17  																										+-Applying beta-rule and splitting (1772), into two cases.
% 42.15/13.17  																										|-Branch one:
% 42.15/13.17  																										| (1704) all_0_96_96 = e2
% 42.15/13.17  																										|
% 42.15/13.17  																											| Equations (1704) can reduce 1638 to:
% 42.15/13.17  																											| (311) $false
% 42.15/13.17  																											|
% 42.15/13.17  																											|-The branch is then unsatisfiable
% 42.15/13.17  																										|-Branch two:
% 42.15/13.17  																										| (1638)  ~ (all_0_96_96 = e2)
% 42.15/13.17  																										| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 42.15/13.17  																										|
% 42.15/13.17  																											+-Applying beta-rule and splitting (641), into two cases.
% 42.15/13.17  																											|-Branch one:
% 42.15/13.17  																											| (433) all_0_80_80 = e4
% 42.15/13.17  																											|
% 42.15/13.17  																												| Combining equations (546,433) yields a new equation:
% 42.15/13.17  																												| (310) e4 = e2
% 42.15/13.17  																												|
% 42.15/13.17  																												| Equations (310) can reduce 79 to:
% 42.15/13.17  																												| (311) $false
% 42.15/13.17  																												|
% 42.15/13.17  																												|-The branch is then unsatisfiable
% 42.15/13.17  																											|-Branch two:
% 42.15/13.17  																											| (436)  ~ (all_0_80_80 = e4)
% 42.15/13.17  																											| (638) all_0_81_81 = e4
% 42.15/13.17  																											|
% 42.15/13.17  																												| Equations (638) can reduce 118 to:
% 42.15/13.17  																												| (647)  ~ (all_0_85_85 = e4)
% 42.15/13.17  																												|
% 42.15/13.17  																												| Simplifying 647 yields:
% 42.15/13.17  																												| (648)  ~ (all_0_85_85 = e4)
% 42.15/13.17  																												|
% 42.15/13.17  																												| Equations (638) can reduce 266 to:
% 42.15/13.17  																												| (649)  ~ (all_0_88_88 = e4)
% 42.15/13.17  																												|
% 42.15/13.17  																												| Simplifying 649 yields:
% 42.15/13.17  																												| (93)  ~ (all_0_88_88 = e4)
% 42.15/13.17  																												|
% 42.15/13.17  																												| Equations (638) can reduce 420 to:
% 42.15/13.17  																												| (177)  ~ (e4 = e3)
% 42.15/13.17  																												|
% 42.15/13.17  																												| Equations (638) can reduce 257 to:
% 42.15/13.17  																												| (23)  ~ (e4 = e0)
% 42.15/13.17  																												|
% 42.15/13.17  																												| From (638) and (19) follows:
% 42.15/13.17  																												| (3320) op(e4, e4) = all_0_6_6
% 42.15/13.17  																												|
% 42.15/13.17  																												| From (638) and (68) follows:
% 42.15/13.17  																												| (657) op(e4, e4) = all_0_70_70
% 42.15/13.17  																												|
% 42.15/13.17  																												+-Applying beta-rule and splitting (1783), into two cases.
% 42.15/13.17  																												|-Branch one:
% 42.15/13.17  																												| (538) all_0_97_97 = e2
% 42.15/13.17  																												|
% 42.15/13.17  																													| Equations (538) can reduce 527 to:
% 42.15/13.17  																													| (311) $false
% 42.15/13.17  																													|
% 42.15/13.17  																													|-The branch is then unsatisfiable
% 42.15/13.17  																												|-Branch two:
% 42.15/13.17  																												| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.17  																												| (525) all_0_98_98 = e2
% 42.15/13.17  																												|
% 42.15/13.17  																													| Equations (525) can reduce 75 to:
% 42.15/13.17  																													| (515)  ~ (all_0_85_85 = e2)
% 42.15/13.17  																													|
% 42.15/13.17  																													| Equations (525) can reduce 13 to:
% 42.15/13.17  																													| (300)  ~ (all_0_93_93 = e2)
% 42.15/13.17  																													|
% 42.15/13.17  																													| Equations (525) can reduce 107 to:
% 42.15/13.17  																													| (355)  ~ (all_0_95_95 = e2)
% 42.15/13.17  																													|
% 42.15/13.17  																													| Equations (525) can reduce 43 to:
% 42.15/13.17  																													| (1638)  ~ (all_0_96_96 = e2)
% 42.15/13.17  																													|
% 42.15/13.17  																													| Equations (525) can reduce 148 to:
% 42.15/13.17  																													| (527)  ~ (all_0_97_97 = e2)
% 42.15/13.17  																													|
% 42.15/13.17  																													| From (525) and (38) follows:
% 42.15/13.17  																													| (2408) op(e0, e0) = e2
% 42.15/13.17  																													|
% 42.15/13.17  																													| Instantiating formula (262) with e4, e4, all_0_6_6, e0 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = e0, yields:
% 42.15/13.17  																													| (3330) all_0_6_6 = e0
% 42.15/13.17  																													|
% 42.15/13.17  																													| Instantiating formula (262) with e4, e4, all_0_70_70, all_0_6_6 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = all_0_70_70, yields:
% 42.15/13.17  																													| (3331) all_0_6_6 = all_0_70_70
% 42.15/13.17  																													|
% 42.15/13.17  																													| Combining equations (3330,3331) yields a new equation:
% 42.15/13.17  																													| (686) all_0_70_70 = e0
% 42.15/13.17  																													|
% 42.15/13.17  																													+-Applying beta-rule and splitting (109), into two cases.
% 42.15/13.17  																													|-Branch one:
% 42.15/13.17  																													| (469) all_0_82_82 = e4
% 42.15/13.17  																													|
% 42.15/13.17  																														| Equations (469) can reduce 7 to:
% 42.15/13.17  																														| (662)  ~ (all_0_84_84 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Simplifying 662 yields:
% 42.15/13.17  																														| (417)  ~ (all_0_84_84 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Equations (469) can reduce 209 to:
% 42.15/13.17  																														| (647)  ~ (all_0_85_85 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Simplifying 647 yields:
% 42.15/13.17  																														| (648)  ~ (all_0_85_85 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Equations (469) can reduce 200 to:
% 42.15/13.17  																														| (314)  ~ (all_0_95_95 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Simplifying 314 yields:
% 42.15/13.17  																														| (315)  ~ (all_0_95_95 = e4)
% 42.15/13.17  																														|
% 42.15/13.17  																														| Equations (469) can reduce 347 to:
% 42.15/13.17  																														| (79)  ~ (e4 = e2)
% 42.15/13.17  																														|
% 42.15/13.17  																														+-Applying beta-rule and splitting (210), into two cases.
% 42.15/13.17  																														|-Branch one:
% 42.15/13.17  																														| (433) all_0_80_80 = e4
% 42.15/13.17  																														|
% 42.15/13.17  																															| Combining equations (546,433) yields a new equation:
% 42.15/13.17  																															| (310) e4 = e2
% 42.15/13.17  																															|
% 42.15/13.17  																															| Equations (310) can reduce 79 to:
% 42.15/13.17  																															| (311) $false
% 42.15/13.17  																															|
% 42.15/13.17  																															|-The branch is then unsatisfiable
% 42.15/13.17  																														|-Branch two:
% 42.15/13.17  																														| (436)  ~ (all_0_80_80 = e4)
% 42.15/13.17  																														| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 42.15/13.17  																														|
% 42.15/13.17  																															+-Applying beta-rule and splitting (437), into two cases.
% 42.15/13.17  																															|-Branch one:
% 42.15/13.17  																															| (438) all_0_84_84 = e4
% 42.15/13.17  																															|
% 42.15/13.17  																																| Equations (438) can reduce 417 to:
% 42.15/13.17  																																| (311) $false
% 42.15/13.17  																																|
% 42.15/13.17  																																|-The branch is then unsatisfiable
% 42.15/13.17  																															|-Branch two:
% 42.15/13.17  																															| (417)  ~ (all_0_84_84 = e4)
% 42.15/13.17  																															| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 42.15/13.17  																															|
% 42.15/13.17  																																+-Applying beta-rule and splitting (441), into two cases.
% 42.15/13.17  																																|-Branch one:
% 42.15/13.17  																																| (442) all_0_92_92 = e4
% 42.15/13.17  																																|
% 42.15/13.17  																																	| Equations (442) can reduce 72 to:
% 42.15/13.17  																																	| (467)  ~ (all_0_90_90 = e4)
% 42.15/13.17  																																	|
% 42.15/13.17  																																	| Equations (442) can reduce 258 to:
% 42.15/13.17  																																	| (318)  ~ (all_0_97_97 = e4)
% 42.15/13.17  																																	|
% 42.15/13.17  																																	| Simplifying 318 yields:
% 42.15/13.17  																																	| (319)  ~ (all_0_97_97 = e4)
% 42.15/13.17  																																	|
% 42.15/13.17  																																	+-Applying beta-rule and splitting (282), into two cases.
% 42.15/13.17  																																	|-Branch one:
% 42.15/13.17  																																	| (754) all_0_90_90 = e3
% 42.15/13.17  																																	|
% 42.15/13.17  																																		| Equations (754) can reduce 745 to:
% 42.15/13.17  																																		| (311) $false
% 42.15/13.17  																																		|
% 42.15/13.17  																																		|-The branch is then unsatisfiable
% 42.15/13.17  																																	|-Branch two:
% 42.15/13.17  																																	| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.17  																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.17  																																	|
% 42.15/13.17  																																		+-Applying beta-rule and splitting (254), into two cases.
% 42.15/13.17  																																		|-Branch one:
% 42.15/13.17  																																		| (910) all_0_82_82 = e0
% 42.15/13.17  																																		|
% 42.15/13.17  																																			| Combining equations (469,910) yields a new equation:
% 42.15/13.17  																																			| (911) e4 = e0
% 42.15/13.17  																																			|
% 42.15/13.17  																																			| Simplifying 911 yields:
% 42.15/13.17  																																			| (912) e4 = e0
% 42.15/13.17  																																			|
% 42.15/13.17  																																			| Equations (912) can reduce 23 to:
% 42.15/13.17  																																			| (311) $false
% 42.15/13.17  																																			|
% 42.15/13.17  																																			|-The branch is then unsatisfiable
% 42.15/13.17  																																		|-Branch two:
% 42.15/13.17  																																		| (914)  ~ (all_0_82_82 = e0)
% 42.15/13.17  																																		| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.17  																																		|
% 42.15/13.17  																																			+-Applying beta-rule and splitting (207), into two cases.
% 42.15/13.17  																																			|-Branch one:
% 42.15/13.17  																																			| (416) all_0_80_80 = e3
% 42.15/13.17  																																			|
% 42.15/13.17  																																				| Combining equations (546,416) yields a new equation:
% 42.15/13.17  																																				| (548) e3 = e2
% 42.15/13.17  																																				|
% 42.15/13.17  																																				| Equations (548) can reduce 169 to:
% 42.15/13.17  																																				| (311) $false
% 42.15/13.17  																																				|
% 42.15/13.17  																																				|-The branch is then unsatisfiable
% 42.15/13.17  																																			|-Branch two:
% 42.15/13.17  																																			| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.17  																																			| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.15/13.17  																																			|
% 42.15/13.17  																																				| Equations (546) can reduce 2347 to:
% 42.15/13.17  																																				| (356)  ~ (e3 = e2)
% 42.15/13.17  																																				|
% 42.15/13.17  																																				| Simplifying 356 yields:
% 42.15/13.17  																																				| (169)  ~ (e3 = e2)
% 42.15/13.17  																																				|
% 42.15/13.17  																																				+-Applying beta-rule and splitting (176), into two cases.
% 42.15/13.17  																																				|-Branch one:
% 42.15/13.17  																																				| (785) all_0_95_95 = e1
% 42.15/13.17  																																				|
% 42.15/13.17  																																					| Equations (785) can reduce 229 to:
% 42.15/13.17  																																					| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.17  																																					|
% 42.15/13.17  																																					| Equations (785) can reduce 279 to:
% 42.15/13.17  																																					| (1671)  ~ (all_0_96_96 = e1)
% 42.15/13.17  																																					|
% 42.15/13.17  																																					| Simplifying 1671 yields:
% 42.15/13.17  																																					| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.17  																																					|
% 42.15/13.17  																																					| Equations (785) can reduce 315 to:
% 42.15/13.17  																																					| (681)  ~ (e4 = e1)
% 42.15/13.17  																																					|
% 42.15/13.17  																																					| Simplifying 681 yields:
% 42.15/13.17  																																					| (256)  ~ (e4 = e1)
% 42.15/13.17  																																					|
% 42.15/13.17  																																					+-Applying beta-rule and splitting (27), into two cases.
% 42.15/13.17  																																					|-Branch one:
% 42.15/13.17  																																					| (746) all_0_90_90 = e2
% 42.15/13.17  																																					|
% 42.15/13.17  																																						| Equations (746) can reduce 294 to:
% 42.15/13.17  																																						| (311) $false
% 42.15/13.17  																																						|
% 42.15/13.17  																																						|-The branch is then unsatisfiable
% 42.15/13.17  																																					|-Branch two:
% 42.15/13.17  																																					| (294)  ~ (all_0_90_90 = e2)
% 42.15/13.17  																																					| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 42.15/13.17  																																					|
% 42.15/13.17  																																						+-Applying beta-rule and splitting (749), into two cases.
% 42.15/13.17  																																						|-Branch one:
% 42.15/13.17  																																						| (750) all_0_90_90 = e1
% 42.15/13.17  																																						|
% 42.15/13.17  																																							| Equations (750) can reduce 678 to:
% 42.15/13.17  																																							| (311) $false
% 42.15/13.17  																																							|
% 42.15/13.17  																																							|-The branch is then unsatisfiable
% 42.15/13.17  																																						|-Branch two:
% 42.15/13.17  																																						| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.17  																																						| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 42.15/13.17  																																						|
% 42.15/13.17  																																							+-Applying beta-rule and splitting (753), into two cases.
% 42.15/13.17  																																							|-Branch one:
% 42.15/13.17  																																							| (754) all_0_90_90 = e3
% 42.15/13.17  																																							|
% 42.15/13.17  																																								| Equations (754) can reduce 745 to:
% 42.15/13.17  																																								| (311) $false
% 42.15/13.17  																																								|
% 42.15/13.17  																																								|-The branch is then unsatisfiable
% 42.15/13.17  																																							|-Branch two:
% 42.15/13.17  																																							| (745)  ~ (all_0_90_90 = e3)
% 42.15/13.17  																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 42.15/13.17  																																							|
% 42.15/13.17  																																								+-Applying beta-rule and splitting (132), into two cases.
% 42.15/13.17  																																								|-Branch one:
% 42.15/13.17  																																								| (750) all_0_90_90 = e1
% 42.15/13.17  																																								|
% 42.15/13.17  																																									| Equations (750) can reduce 678 to:
% 42.15/13.17  																																									| (311) $false
% 42.15/13.17  																																									|
% 42.15/13.17  																																									|-The branch is then unsatisfiable
% 42.15/13.17  																																								|-Branch two:
% 42.15/13.17  																																								| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.17  																																								| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.17  																																								|
% 42.15/13.17  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 42.15/13.17  																																									|-Branch one:
% 42.15/13.17  																																									| (801) all_0_91_91 = e1
% 42.15/13.17  																																									|
% 42.15/13.17  																																										| Equations (801) can reduce 959 to:
% 42.15/13.17  																																										| (311) $false
% 42.15/13.17  																																										|
% 42.15/13.17  																																										|-The branch is then unsatisfiable
% 42.15/13.17  																																									|-Branch two:
% 42.15/13.17  																																									| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.17  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.17  																																									|
% 42.15/13.17  																																										+-Applying beta-rule and splitting (1556), into two cases.
% 42.15/13.17  																																										|-Branch one:
% 42.15/13.17  																																										| (836) all_0_92_92 = e1
% 42.15/13.17  																																										|
% 42.15/13.17  																																											| Combining equations (836,442) yields a new equation:
% 42.15/13.17  																																											| (814) e4 = e1
% 42.15/13.17  																																											|
% 42.15/13.17  																																											| Equations (814) can reduce 256 to:
% 42.15/13.17  																																											| (311) $false
% 42.15/13.17  																																											|
% 42.15/13.17  																																											|-The branch is then unsatisfiable
% 42.15/13.17  																																										|-Branch two:
% 42.15/13.17  																																										| (840)  ~ (all_0_92_92 = e1)
% 42.15/13.17  																																										| (566) all_0_93_93 = e1
% 42.15/13.17  																																										|
% 42.15/13.17  																																											| Equations (566) can reduce 286 to:
% 42.15/13.17  																																											| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.17  																																											|
% 42.15/13.17  																																											| Equations (566) can reduce 34 to:
% 42.15/13.17  																																											| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.17  																																											|
% 42.15/13.17  																																											| Equations (566) can reduce 44 to:
% 42.15/13.17  																																											| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.17  																																											|
% 42.15/13.17  																																											+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.17  																																											|-Branch one:
% 42.15/13.17  																																											| (504) all_0_88_88 = e1
% 42.15/13.17  																																											|
% 42.15/13.17  																																												| Equations (504) can reduce 479 to:
% 42.15/13.17  																																												| (311) $false
% 42.15/13.17  																																												|
% 42.15/13.17  																																												|-The branch is then unsatisfiable
% 42.15/13.17  																																											|-Branch two:
% 42.15/13.17  																																											| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.17  																																											| (507) all_0_88_88 = e0
% 42.15/13.17  																																											|
% 42.15/13.17  																																												| Equations (507) can reduce 78 to:
% 42.15/13.17  																																												| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.17  																																												|
% 42.15/13.17  																																												| Equations (507) can reduce 181 to:
% 42.15/13.17  																																												| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.17  																																												|
% 42.15/13.17  																																												| Equations (507) can reduce 93 to:
% 42.15/13.17  																																												| (904)  ~ (e4 = e0)
% 42.15/13.17  																																												|
% 42.15/13.17  																																												| Simplifying 904 yields:
% 42.15/13.17  																																												| (23)  ~ (e4 = e0)
% 42.15/13.17  																																												|
% 42.15/13.17  																																												| From (507) and (239) follows:
% 42.15/13.17  																																												| (1338) op(e0, e0) = all_0_73_73
% 42.15/13.17  																																												|
% 42.15/13.17  																																												+-Applying beta-rule and splitting (249), into two cases.
% 42.15/13.17  																																												|-Branch one:
% 42.15/13.17  																																												| (910) all_0_82_82 = e0
% 42.15/13.17  																																												|
% 42.15/13.17  																																													| Combining equations (910,469) yields a new equation:
% 42.15/13.17  																																													| (912) e4 = e0
% 42.15/13.17  																																													|
% 42.15/13.17  																																													| Equations (912) can reduce 23 to:
% 42.15/13.17  																																													| (311) $false
% 42.15/13.17  																																													|
% 42.15/13.17  																																													|-The branch is then unsatisfiable
% 42.15/13.17  																																												|-Branch two:
% 42.15/13.17  																																												| (914)  ~ (all_0_82_82 = e0)
% 42.15/13.17  																																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 42.15/13.17  																																												|
% 42.15/13.17  																																													+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.17  																																													|-Branch one:
% 42.15/13.17  																																													| (482) all_0_87_87 = e1
% 42.15/13.17  																																													|
% 42.15/13.17  																																														| Equations (482) can reduce 124 to:
% 42.15/13.17  																																														| (259)  ~ (all_0_84_84 = e1)
% 42.15/13.17  																																														|
% 42.15/13.17  																																														+-Applying beta-rule and splitting (182), into two cases.
% 42.15/13.17  																																														|-Branch one:
% 42.15/13.17  																																														| (512) all_0_85_85 = e2
% 42.15/13.17  																																														|
% 42.15/13.17  																																															| Equations (512) can reduce 515 to:
% 42.15/13.17  																																															| (311) $false
% 42.15/13.17  																																															|
% 42.15/13.17  																																															|-The branch is then unsatisfiable
% 42.15/13.17  																																														|-Branch two:
% 42.15/13.17  																																														| (515)  ~ (all_0_85_85 = e2)
% 42.15/13.17  																																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.15/13.17  																																														|
% 42.15/13.17  																																															+-Applying beta-rule and splitting (757), into two cases.
% 42.15/13.17  																																															|-Branch one:
% 42.15/13.17  																																															| (758) all_0_90_90 = e0
% 42.15/13.17  																																															|
% 42.15/13.17  																																																| Equations (758) can reduce 103 to:
% 42.15/13.17  																																																| (1830)  ~ (all_0_91_91 = e0)
% 42.15/13.17  																																																|
% 42.15/13.17  																																																| Simplifying 1830 yields:
% 42.15/13.17  																																																| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.17  																																																|
% 42.15/13.17  																																																| Equations (758) can reduce 678 to:
% 42.15/13.17  																																																| (859)  ~ (e1 = e0)
% 42.15/13.17  																																																|
% 42.15/13.17  																																																| Simplifying 859 yields:
% 42.15/13.17  																																																| (264)  ~ (e1 = e0)
% 42.15/13.17  																																																|
% 42.15/13.17  																																																+-Applying beta-rule and splitting (1726), into two cases.
% 42.15/13.17  																																																|-Branch one:
% 42.15/13.17  																																																| (801) all_0_91_91 = e1
% 42.15/13.17  																																																|
% 42.15/13.17  																																																	| Equations (801) can reduce 959 to:
% 42.15/13.17  																																																	| (311) $false
% 42.15/13.17  																																																	|
% 42.15/13.17  																																																	|-The branch is then unsatisfiable
% 42.15/13.17  																																																|-Branch two:
% 42.15/13.17  																																																| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.17  																																																| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 42.15/13.17  																																																|
% 42.15/13.17  																																																	+-Applying beta-rule and splitting (1880), into two cases.
% 42.15/13.17  																																																	|-Branch one:
% 42.15/13.17  																																																	| (588) all_0_91_91 = e3
% 42.15/13.17  																																																	|
% 42.15/13.17  																																																		| Equations (588) can reduce 64 to:
% 42.15/13.17  																																																		| (1300)  ~ (all_0_96_96 = e3)
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																		| Simplifying 1300 yields:
% 42.15/13.17  																																																		| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																		| Equations (588) can reduce 296 to:
% 42.15/13.17  																																																		| (169)  ~ (e3 = e2)
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																		| Equations (588) can reduce 959 to:
% 42.15/13.17  																																																		| (20)  ~ (e3 = e1)
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																		+-Applying beta-rule and splitting (270), into two cases.
% 42.15/13.17  																																																		|-Branch one:
% 42.15/13.17  																																																		| (744) all_0_95_95 = e3
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																			| Combining equations (785,744) yields a new equation:
% 42.15/13.17  																																																			| (772) e3 = e1
% 42.15/13.17  																																																			|
% 42.15/13.17  																																																			| Equations (772) can reduce 20 to:
% 42.15/13.17  																																																			| (311) $false
% 42.15/13.17  																																																			|
% 42.15/13.17  																																																			|-The branch is then unsatisfiable
% 42.15/13.17  																																																		|-Branch two:
% 42.15/13.17  																																																		| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.17  																																																		| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.17  																																																		|
% 42.15/13.17  																																																			+-Applying beta-rule and splitting (766), into two cases.
% 42.15/13.17  																																																			|-Branch one:
% 42.15/13.17  																																																			| (778) all_0_96_96 = e3
% 42.15/13.17  																																																			|
% 42.15/13.17  																																																				| Equations (778) can reduce 964 to:
% 42.15/13.17  																																																				| (311) $false
% 42.15/13.17  																																																				|
% 42.15/13.17  																																																				|-The branch is then unsatisfiable
% 42.15/13.17  																																																			|-Branch two:
% 42.15/13.17  																																																			| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.17  																																																			| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.17  																																																			|
% 42.15/13.17  																																																				+-Applying beta-rule and splitting (965), into two cases.
% 42.15/13.17  																																																				|-Branch one:
% 42.15/13.17  																																																				| (556) all_0_97_97 = e3
% 42.15/13.17  																																																				|
% 42.15/13.17  																																																					| Equations (556) can reduce 195 to:
% 42.15/13.17  																																																					| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																					| Equations (556) can reduce 22 to:
% 42.15/13.17  																																																					| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																					| Equations (556) can reduce 319 to:
% 42.15/13.17  																																																					| (783)  ~ (e4 = e3)
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																					| Simplifying 783 yields:
% 42.15/13.17  																																																					| (177)  ~ (e4 = e3)
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																					| Equations (556) can reduce 527 to:
% 42.15/13.17  																																																					| (169)  ~ (e3 = e2)
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																					+-Applying beta-rule and splitting (92), into two cases.
% 42.15/13.17  																																																					|-Branch one:
% 42.15/13.17  																																																					| (552) all_0_84_84 = e2
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																						| Equations (552) can reduce 612 to:
% 42.15/13.17  																																																						| (311) $false
% 42.15/13.17  																																																						|
% 42.15/13.17  																																																						|-The branch is then unsatisfiable
% 42.15/13.17  																																																					|-Branch two:
% 42.15/13.17  																																																					| (612)  ~ (all_0_84_84 = e2)
% 42.15/13.17  																																																					| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.15/13.17  																																																					|
% 42.15/13.17  																																																						+-Applying beta-rule and splitting (2), into two cases.
% 42.15/13.17  																																																						|-Branch one:
% 42.15/13.17  																																																						| (916) all_0_84_84 = e0
% 42.15/13.17  																																																						|
% 42.15/13.18  																																																							| Equations (916) can reduce 259 to:
% 42.15/13.18  																																																							| (859)  ~ (e1 = e0)
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																							| Simplifying 859 yields:
% 42.15/13.18  																																																							| (264)  ~ (e1 = e0)
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																							+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.18  																																																							|-Branch one:
% 42.15/13.18  																																																							| (858) all_0_95_95 = e0
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																								| Combining equations (785,858) yields a new equation:
% 42.15/13.18  																																																								| (1107) e1 = e0
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								| Simplifying 1107 yields:
% 42.15/13.18  																																																								| (865) e1 = e0
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								| Equations (865) can reduce 264 to:
% 42.15/13.18  																																																								| (311) $false
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								|-The branch is then unsatisfiable
% 42.15/13.18  																																																							|-Branch two:
% 42.15/13.18  																																																							| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.18  																																																							| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																								+-Applying beta-rule and splitting (1707), into two cases.
% 42.15/13.18  																																																								|-Branch one:
% 42.15/13.18  																																																								| (960) all_0_96_96 = e1
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																									| Equations (960) can reduce 1479 to:
% 42.15/13.18  																																																									| (311) $false
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																									|-The branch is then unsatisfiable
% 42.15/13.18  																																																								|-Branch two:
% 42.15/13.18  																																																								| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.18  																																																								| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																									+-Applying beta-rule and splitting (1921), into two cases.
% 42.15/13.18  																																																									|-Branch one:
% 42.15/13.18  																																																									| (1837) all_0_96_96 = e0
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																										| From (1837) and (268) follows:
% 42.15/13.18  																																																										| (5798) op(e0, e0) = all_0_59_59
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Instantiating formula (262) with e0, e0, all_0_59_59, e2 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e2, yields:
% 42.15/13.18  																																																										| (5799) all_0_59_59 = e2
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = all_0_73_73, yields:
% 42.15/13.18  																																																										| (6598) all_0_59_59 = all_0_73_73
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Combining equations (5799,6598) yields a new equation:
% 42.15/13.18  																																																										| (1386) all_0_73_73 = e2
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Combining equations (1386,6598) yields a new equation:
% 42.15/13.18  																																																										| (5799) all_0_59_59 = e2
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Equations (5799) can reduce 4959 to:
% 42.15/13.18  																																																										| (311) $false
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										|-The branch is then unsatisfiable
% 42.15/13.18  																																																									|-Branch two:
% 42.15/13.18  																																																									| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.18  																																																									| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																										+-Applying beta-rule and splitting (2016), into two cases.
% 42.15/13.18  																																																										|-Branch one:
% 42.15/13.18  																																																										| (778) all_0_96_96 = e3
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																											| Equations (778) can reduce 964 to:
% 42.15/13.18  																																																											| (311) $false
% 42.15/13.18  																																																											|
% 42.15/13.18  																																																											|-The branch is then unsatisfiable
% 42.15/13.18  																																																										|-Branch two:
% 42.15/13.18  																																																										| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.18  																																																										| (1837) all_0_96_96 = e0
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																											| Equations (1837) can reduce 2095 to:
% 42.15/13.18  																																																											| (311) $false
% 42.15/13.18  																																																											|
% 42.15/13.18  																																																											|-The branch is then unsatisfiable
% 42.15/13.18  																																																						|-Branch two:
% 42.15/13.18  																																																						| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.18  																																																						| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.15/13.18  																																																						|
% 42.15/13.18  																																																							+-Applying beta-rule and splitting (171), into two cases.
% 42.15/13.18  																																																							|-Branch one:
% 42.15/13.18  																																																							| (789) all_0_82_82 = e3
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																								| Combining equations (469,789) yields a new equation:
% 42.15/13.18  																																																								| (790) e4 = e3
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								| Simplifying 790 yields:
% 42.15/13.18  																																																								| (434) e4 = e3
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								| Equations (434) can reduce 177 to:
% 42.15/13.18  																																																								| (311) $false
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																								|-The branch is then unsatisfiable
% 42.15/13.18  																																																							|-Branch two:
% 42.15/13.18  																																																							| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.18  																																																							| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.18  																																																							|
% 42.15/13.18  																																																								+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.18  																																																								|-Branch one:
% 42.15/13.18  																																																								| (858) all_0_95_95 = e0
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																									| Combining equations (858,785) yields a new equation:
% 42.15/13.18  																																																									| (865) e1 = e0
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																									| Equations (865) can reduce 264 to:
% 42.15/13.18  																																																									| (311) $false
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																									|-The branch is then unsatisfiable
% 42.15/13.18  																																																								|-Branch two:
% 42.15/13.18  																																																								| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.18  																																																								| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.18  																																																								|
% 42.15/13.18  																																																									+-Applying beta-rule and splitting (1296), into two cases.
% 42.15/13.18  																																																									|-Branch one:
% 42.15/13.18  																																																									| (795) all_0_83_83 = e3
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																										| Combining equations (453,795) yields a new equation:
% 42.15/13.18  																																																										| (548) e3 = e2
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										| Equations (548) can reduce 169 to:
% 42.15/13.18  																																																										| (311) $false
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																										|-The branch is then unsatisfiable
% 42.15/13.18  																																																									|-Branch two:
% 42.15/13.18  																																																									| (779)  ~ (all_0_83_83 = e3)
% 42.15/13.18  																																																									| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.18  																																																									|
% 42.15/13.18  																																																										+-Applying beta-rule and splitting (1707), into two cases.
% 42.15/13.18  																																																										|-Branch one:
% 42.15/13.18  																																																										| (960) all_0_96_96 = e1
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																											| Equations (960) can reduce 1479 to:
% 42.15/13.18  																																																											| (311) $false
% 42.15/13.18  																																																											|
% 42.15/13.18  																																																											|-The branch is then unsatisfiable
% 42.15/13.18  																																																										|-Branch two:
% 42.15/13.18  																																																										| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.18  																																																										| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 42.15/13.18  																																																										|
% 42.15/13.18  																																																											+-Applying beta-rule and splitting (1921), into two cases.
% 42.15/13.18  																																																											|-Branch one:
% 42.15/13.18  																																																											| (1837) all_0_96_96 = e0
% 42.15/13.18  																																																											|
% 42.15/13.18  																																																												| Equations (1837) can reduce 1638 to:
% 42.15/13.18  																																																												| (510)  ~ (e2 = e0)
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																												| Simplifying 510 yields:
% 42.15/13.18  																																																												| (76)  ~ (e2 = e0)
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																												+-Applying beta-rule and splitting (725), into two cases.
% 42.15/13.18  																																																												|-Branch one:
% 42.15/13.18  																																																												| (804) all_0_85_85 = e3
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																													| Equations (804) can reduce 800 to:
% 42.15/13.18  																																																													| (50)  ~ (e3 = e0)
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																													+-Applying beta-rule and splitting (1309), into two cases.
% 42.15/13.18  																																																													|-Branch one:
% 42.15/13.18  																																																													| (798) all_0_83_83 = e0
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																														| Combining equations (453,798) yields a new equation:
% 42.15/13.18  																																																														| (923) e2 = e0
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																														| Simplifying 923 yields:
% 42.15/13.18  																																																														| (379) e2 = e0
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																														| Equations (379) can reduce 76 to:
% 42.15/13.18  																																																														| (311) $false
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																														|-The branch is then unsatisfiable
% 42.15/13.18  																																																													|-Branch two:
% 42.15/13.18  																																																													| (1314)  ~ (all_0_83_83 = e0)
% 42.15/13.18  																																																													| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																														+-Applying beta-rule and splitting (1315), into two cases.
% 42.15/13.18  																																																														|-Branch one:
% 42.15/13.18  																																																														| (916) all_0_84_84 = e0
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																															| Equations (916) can reduce 919 to:
% 42.15/13.18  																																																															| (311) $false
% 42.15/13.18  																																																															|
% 42.15/13.18  																																																															|-The branch is then unsatisfiable
% 42.15/13.18  																																																														|-Branch two:
% 42.15/13.18  																																																														| (919)  ~ (all_0_84_84 = e0)
% 42.15/13.18  																																																														| (954) all_0_85_85 = e0
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																															| Combining equations (954,804) yields a new equation:
% 42.15/13.18  																																																															| (600) e3 = e0
% 42.15/13.18  																																																															|
% 42.15/13.18  																																																															| Equations (600) can reduce 50 to:
% 42.15/13.18  																																																															| (311) $false
% 42.15/13.18  																																																															|
% 42.15/13.18  																																																															|-The branch is then unsatisfiable
% 42.15/13.18  																																																												|-Branch two:
% 42.15/13.18  																																																												| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.18  																																																												| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																													+-Applying beta-rule and splitting (617), into two cases.
% 42.15/13.18  																																																													|-Branch one:
% 42.15/13.18  																																																													| (1265) all_0_84_84 = e3
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																														| Equations (1265) can reduce 422 to:
% 42.15/13.18  																																																														| (311) $false
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																														|-The branch is then unsatisfiable
% 42.15/13.18  																																																													|-Branch two:
% 42.15/13.18  																																																													| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.18  																																																													| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																														+-Applying beta-rule and splitting (1594), into two cases.
% 42.15/13.18  																																																														|-Branch one:
% 42.15/13.18  																																																														| (1265) all_0_84_84 = e3
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																															| Equations (1265) can reduce 422 to:
% 42.15/13.18  																																																															| (311) $false
% 42.15/13.18  																																																															|
% 42.15/13.18  																																																															|-The branch is then unsatisfiable
% 42.15/13.18  																																																														|-Branch two:
% 42.15/13.18  																																																														| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.18  																																																														| (804) all_0_85_85 = e3
% 42.15/13.18  																																																														|
% 42.15/13.18  																																																															| Equations (804) can reduce 952 to:
% 42.15/13.18  																																																															| (311) $false
% 42.15/13.18  																																																															|
% 42.15/13.18  																																																															|-The branch is then unsatisfiable
% 42.15/13.18  																																																											|-Branch two:
% 42.15/13.18  																																																											| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.18  																																																											| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.18  																																																											|
% 42.15/13.18  																																																												+-Applying beta-rule and splitting (2016), into two cases.
% 42.15/13.18  																																																												|-Branch one:
% 42.15/13.18  																																																												| (778) all_0_96_96 = e3
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																													| Equations (778) can reduce 964 to:
% 42.15/13.18  																																																													| (311) $false
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																													|-The branch is then unsatisfiable
% 42.15/13.18  																																																												|-Branch two:
% 42.15/13.18  																																																												| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.18  																																																												| (1837) all_0_96_96 = e0
% 42.15/13.18  																																																												|
% 42.15/13.18  																																																													| Equations (1837) can reduce 2095 to:
% 42.15/13.18  																																																													| (311) $false
% 42.15/13.18  																																																													|
% 42.15/13.18  																																																													|-The branch is then unsatisfiable
% 42.15/13.18  																																																				|-Branch two:
% 42.15/13.18  																																																				| (428)  ~ (all_0_97_97 = e3)
% 42.15/13.18  																																																				| (969) all_0_98_98 = e3
% 42.15/13.18  																																																				|
% 42.15/13.18  																																																					| Combining equations (969,525) yields a new equation:
% 42.15/13.18  																																																					| (547) e3 = e2
% 42.15/13.18  																																																					|
% 42.15/13.18  																																																					| Simplifying 547 yields:
% 42.15/13.18  																																																					| (548) e3 = e2
% 42.15/13.18  																																																					|
% 42.15/13.18  																																																					| Equations (548) can reduce 169 to:
% 42.15/13.18  																																																					| (311) $false
% 42.15/13.18  																																																					|
% 42.15/13.18  																																																					|-The branch is then unsatisfiable
% 42.15/13.18  																																																	|-Branch two:
% 42.15/13.18  																																																	| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.18  																																																	| (1456) all_0_91_91 = e0
% 42.15/13.18  																																																	|
% 42.15/13.18  																																																		| Equations (1456) can reduce 1487 to:
% 42.15/13.18  																																																		| (311) $false
% 42.15/13.18  																																																		|
% 42.15/13.18  																																																		|-The branch is then unsatisfiable
% 42.15/13.18  																																															|-Branch two:
% 42.15/13.18  																																															| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.18  																																															| (583) all_0_90_90 = e4
% 42.15/13.18  																																															|
% 42.15/13.18  																																																| Equations (583) can reduce 467 to:
% 42.15/13.18  																																																| (311) $false
% 42.15/13.18  																																																|
% 42.15/13.18  																																																|-The branch is then unsatisfiable
% 42.15/13.18  																																													|-Branch two:
% 42.15/13.18  																																													| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.18  																																													| (861) all_0_87_87 = e0
% 42.15/13.18  																																													|
% 42.15/13.18  																																														| Equations (861) can reduce 889 to:
% 42.15/13.18  																																														| (311) $false
% 42.15/13.18  																																														|
% 42.15/13.18  																																														|-The branch is then unsatisfiable
% 42.15/13.18  																																				|-Branch two:
% 42.15/13.18  																																				| (680)  ~ (all_0_95_95 = e1)
% 42.15/13.18  																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.18  																																				|
% 42.15/13.18  																																					+-Applying beta-rule and splitting (788), into two cases.
% 42.15/13.18  																																					|-Branch one:
% 42.15/13.18  																																					| (960) all_0_96_96 = e1
% 42.15/13.18  																																					|
% 42.15/13.18  																																						| Equations (960) can reduce 1479 to:
% 42.15/13.18  																																						| (311) $false
% 42.15/13.18  																																						|
% 42.15/13.18  																																						|-The branch is then unsatisfiable
% 42.15/13.18  																																					|-Branch two:
% 42.15/13.18  																																					| (1479)  ~ (all_0_96_96 = e1)
% 42.15/13.18  																																					| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.15/13.18  																																					|
% 42.15/13.18  																																						+-Applying beta-rule and splitting (2126), into two cases.
% 42.15/13.18  																																						|-Branch one:
% 42.15/13.18  																																						| (542) all_0_97_97 = e1
% 42.15/13.18  																																						|
% 42.15/13.18  																																							+-Applying beta-rule and splitting (270), into two cases.
% 42.15/13.18  																																							|-Branch one:
% 42.15/13.18  																																							| (744) all_0_95_95 = e3
% 42.15/13.18  																																							|
% 42.15/13.18  																																								| Equations (744) can reduce 765 to:
% 42.15/13.18  																																								| (311) $false
% 42.15/13.18  																																								|
% 42.15/13.18  																																								|-The branch is then unsatisfiable
% 42.15/13.18  																																							|-Branch two:
% 42.15/13.18  																																							| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.18  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.18  																																							|
% 42.15/13.18  																																								+-Applying beta-rule and splitting (766), into two cases.
% 42.15/13.18  																																								|-Branch one:
% 42.15/13.18  																																								| (778) all_0_96_96 = e3
% 42.15/13.18  																																								|
% 42.15/13.18  																																									| Equations (778) can reduce 279 to:
% 42.15/13.18  																																									| (765)  ~ (all_0_95_95 = e3)
% 42.15/13.18  																																									|
% 42.15/13.18  																																									| Equations (778) can reduce 115 to:
% 42.15/13.18  																																									| (783)  ~ (e4 = e3)
% 42.15/13.18  																																									|
% 42.15/13.18  																																									| Simplifying 783 yields:
% 42.15/13.18  																																									| (177)  ~ (e4 = e3)
% 42.15/13.18  																																									|
% 42.15/13.18  																																									| From (778) and (4960) follows:
% 42.15/13.18  																																									| (5343) op(e2, e3) = e0
% 42.15/13.18  																																									|
% 42.15/13.18  																																									+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.18  																																									|-Branch one:
% 42.15/13.18  																																									| (1456) all_0_91_91 = e0
% 42.15/13.18  																																									|
% 42.15/13.18  																																										| Equations (1456) can reduce 103 to:
% 42.15/13.18  																																										| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.18  																																										|
% 42.15/13.18  																																										| Equations (1456) can reduce 296 to:
% 42.15/13.18  																																										| (510)  ~ (e2 = e0)
% 42.15/13.18  																																										|
% 42.15/13.18  																																										| Simplifying 510 yields:
% 42.15/13.18  																																										| (76)  ~ (e2 = e0)
% 42.15/13.18  																																										|
% 42.15/13.18  																																										+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.18  																																										|-Branch one:
% 42.15/13.18  																																										| (858) all_0_95_95 = e0
% 42.15/13.18  																																										|
% 42.15/13.18  																																											| Equations (858) can reduce 765 to:
% 42.15/13.18  																																											| (906)  ~ (e3 = e0)
% 42.15/13.18  																																											|
% 42.15/13.18  																																											| Simplifying 906 yields:
% 42.15/13.18  																																											| (50)  ~ (e3 = e0)
% 42.15/13.18  																																											|
% 42.15/13.18  																																											+-Applying beta-rule and splitting (849), into two cases.
% 42.15/13.18  																																											|-Branch one:
% 42.15/13.19  																																											| (588) all_0_91_91 = e3
% 42.15/13.19  																																											|
% 42.15/13.19  																																												| Combining equations (588,1456) yields a new equation:
% 42.15/13.19  																																												| (599) e3 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																												| Simplifying 599 yields:
% 42.15/13.19  																																												| (600) e3 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																												| Equations (600) can reduce 50 to:
% 42.15/13.19  																																												| (311) $false
% 42.15/13.19  																																												|
% 42.15/13.19  																																												|-The branch is then unsatisfiable
% 42.15/13.19  																																											|-Branch two:
% 42.15/13.19  																																											| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.19  																																											| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.15/13.19  																																											|
% 42.15/13.19  																																												+-Applying beta-rule and splitting (881), into two cases.
% 42.15/13.19  																																												|-Branch one:
% 42.15/13.19  																																												| (882) all_0_92_92 = e3
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Combining equations (442,882) yields a new equation:
% 42.15/13.19  																																													| (790) e4 = e3
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Simplifying 790 yields:
% 42.15/13.19  																																													| (434) e4 = e3
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Equations (434) can reduce 177 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																												|-Branch two:
% 42.15/13.19  																																												| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.19  																																												| (570) all_0_93_93 = e3
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Equations (570) can reduce 201 to:
% 42.15/13.19  																																													| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.19  																																													|
% 42.15/13.19  																																													+-Applying beta-rule and splitting (182), into two cases.
% 42.15/13.19  																																													|-Branch one:
% 42.15/13.19  																																													| (512) all_0_85_85 = e2
% 42.15/13.19  																																													|
% 42.15/13.19  																																														| Equations (512) can reduce 515 to:
% 42.15/13.19  																																														| (311) $false
% 42.15/13.19  																																														|
% 42.15/13.19  																																														|-The branch is then unsatisfiable
% 42.15/13.19  																																													|-Branch two:
% 42.15/13.19  																																													| (515)  ~ (all_0_85_85 = e2)
% 42.15/13.19  																																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.15/13.19  																																													|
% 42.15/13.19  																																														+-Applying beta-rule and splitting (725), into two cases.
% 42.15/13.19  																																														|-Branch one:
% 42.15/13.19  																																														| (804) all_0_85_85 = e3
% 42.15/13.19  																																														|
% 42.15/13.19  																																															| Equations (804) can reduce 952 to:
% 42.15/13.19  																																															| (311) $false
% 42.15/13.19  																																															|
% 42.15/13.19  																																															|-The branch is then unsatisfiable
% 42.15/13.19  																																														|-Branch two:
% 42.15/13.19  																																														| (952)  ~ (all_0_85_85 = e3)
% 42.15/13.19  																																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.15/13.19  																																														|
% 42.15/13.19  																																															+-Applying beta-rule and splitting (953), into two cases.
% 42.15/13.19  																																															|-Branch one:
% 42.15/13.19  																																															| (954) all_0_85_85 = e0
% 42.15/13.19  																																															|
% 42.15/13.19  																																																| Equations (954) can reduce 78 to:
% 42.15/13.19  																																																| (2507)  ~ (all_0_88_88 = e0)
% 42.15/13.19  																																																|
% 42.15/13.19  																																																| Simplifying 2507 yields:
% 42.15/13.19  																																																| (1110)  ~ (all_0_88_88 = e0)
% 42.15/13.19  																																																|
% 42.15/13.19  																																																+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.19  																																																|-Branch one:
% 42.15/13.19  																																																| (504) all_0_88_88 = e1
% 42.15/13.19  																																																|
% 42.15/13.19  																																																	| Equations (504) can reduce 1110 to:
% 42.15/13.19  																																																	| (264)  ~ (e1 = e0)
% 42.15/13.19  																																																	|
% 42.15/13.19  																																																	+-Applying beta-rule and splitting (382), into two cases.
% 42.15/13.19  																																																	|-Branch one:
% 42.15/13.19  																																																	| (861) all_0_87_87 = e0
% 42.15/13.19  																																																	|
% 42.15/13.19  																																																		| Equations (861) can reduce 349 to:
% 42.15/13.19  																																																		| (510)  ~ (e2 = e0)
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		| Simplifying 510 yields:
% 42.15/13.19  																																																		| (76)  ~ (e2 = e0)
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.15/13.19  																																																		| (379) e2 = e0
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		| Equations (379) can reduce 76 to:
% 42.15/13.19  																																																		| (311) $false
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		|-The branch is then unsatisfiable
% 42.15/13.19  																																																	|-Branch two:
% 42.15/13.19  																																																	| (889)  ~ (all_0_87_87 = e0)
% 42.15/13.19  																																																	| (507) all_0_88_88 = e0
% 42.15/13.19  																																																	|
% 42.15/13.19  																																																		| Combining equations (504,507) yields a new equation:
% 42.15/13.19  																																																		| (1107) e1 = e0
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		| Simplifying 1107 yields:
% 42.15/13.19  																																																		| (865) e1 = e0
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		| Equations (865) can reduce 264 to:
% 42.15/13.19  																																																		| (311) $false
% 42.15/13.19  																																																		|
% 42.15/13.19  																																																		|-The branch is then unsatisfiable
% 42.15/13.19  																																																|-Branch two:
% 42.15/13.19  																																																| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.19  																																																| (507) all_0_88_88 = e0
% 42.15/13.19  																																																|
% 42.15/13.19  																																																	| Equations (507) can reduce 1110 to:
% 42.15/13.19  																																																	| (311) $false
% 42.15/13.19  																																																	|
% 42.15/13.19  																																																	|-The branch is then unsatisfiable
% 42.15/13.19  																																															|-Branch two:
% 42.15/13.19  																																															| (800)  ~ (all_0_85_85 = e0)
% 42.15/13.19  																																															| (493) all_0_85_85 = e4
% 42.15/13.19  																																															|
% 42.15/13.19  																																																| Equations (493) can reduce 648 to:
% 42.15/13.19  																																																| (311) $false
% 42.15/13.19  																																																|
% 42.15/13.19  																																																|-The branch is then unsatisfiable
% 42.15/13.19  																																										|-Branch two:
% 42.15/13.19  																																										| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.19  																																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.19  																																										|
% 42.15/13.19  																																											+-Applying beta-rule and splitting (915), into two cases.
% 42.15/13.19  																																											|-Branch one:
% 42.15/13.19  																																											| (378) all_0_86_86 = e0
% 42.15/13.19  																																											|
% 42.15/13.19  																																												| Combining equations (345,378) yields a new equation:
% 42.15/13.19  																																												| (923) e2 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																												| Simplifying 923 yields:
% 42.15/13.19  																																												| (379) e2 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																												| Equations (379) can reduce 76 to:
% 42.15/13.19  																																												| (311) $false
% 42.15/13.19  																																												|
% 42.15/13.19  																																												|-The branch is then unsatisfiable
% 42.15/13.19  																																											|-Branch two:
% 42.15/13.19  																																											| (381)  ~ (all_0_86_86 = e0)
% 42.15/13.19  																																											| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.15/13.19  																																											|
% 42.15/13.19  																																												+-Applying beta-rule and splitting (927), into two cases.
% 42.15/13.19  																																												|-Branch one:
% 42.15/13.19  																																												| (758) all_0_90_90 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Equations (758) can reduce 762 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																												|-Branch two:
% 42.15/13.19  																																												| (762)  ~ (all_0_90_90 = e0)
% 42.15/13.19  																																												| (858) all_0_95_95 = e0
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Equations (858) can reduce 893 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																									|-Branch two:
% 42.15/13.19  																																									| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.19  																																									| (1837) all_0_96_96 = e0
% 42.15/13.19  																																									|
% 42.15/13.19  																																										| Combining equations (1837,778) yields a new equation:
% 42.15/13.19  																																										| (600) e3 = e0
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Equations (600) can reduce 50 to:
% 42.15/13.19  																																										| (311) $false
% 42.15/13.19  																																										|
% 42.15/13.19  																																										|-The branch is then unsatisfiable
% 42.15/13.19  																																								|-Branch two:
% 42.15/13.19  																																								| (964)  ~ (all_0_96_96 = e3)
% 42.15/13.19  																																								| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.15/13.19  																																								|
% 42.15/13.19  																																									+-Applying beta-rule and splitting (965), into two cases.
% 42.15/13.19  																																									|-Branch one:
% 42.15/13.19  																																									| (556) all_0_97_97 = e3
% 42.15/13.19  																																									|
% 42.15/13.19  																																										| Combining equations (556,542) yields a new equation:
% 42.15/13.19  																																										| (825) e3 = e1
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Simplifying 825 yields:
% 42.15/13.19  																																										| (772) e3 = e1
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Equations (772) can reduce 20 to:
% 42.15/13.19  																																										| (311) $false
% 42.15/13.19  																																										|
% 42.15/13.19  																																										|-The branch is then unsatisfiable
% 42.15/13.19  																																									|-Branch two:
% 42.15/13.19  																																									| (428)  ~ (all_0_97_97 = e3)
% 42.15/13.19  																																									| (969) all_0_98_98 = e3
% 42.15/13.19  																																									|
% 42.15/13.19  																																										| Combining equations (525,969) yields a new equation:
% 42.15/13.19  																																										| (548) e3 = e2
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Equations (548) can reduce 169 to:
% 42.15/13.19  																																										| (311) $false
% 42.15/13.19  																																										|
% 42.15/13.19  																																										|-The branch is then unsatisfiable
% 42.15/13.19  																																						|-Branch two:
% 42.15/13.19  																																						| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.19  																																						| (1543) all_0_98_98 = e1
% 42.15/13.19  																																						|
% 42.15/13.19  																																							| Combining equations (1543,525) yields a new equation:
% 42.15/13.19  																																							| (385) e2 = e1
% 42.15/13.19  																																							|
% 42.15/13.19  																																							| Equations (385) can reduce 243 to:
% 42.15/13.19  																																							| (311) $false
% 42.15/13.19  																																							|
% 42.15/13.19  																																							|-The branch is then unsatisfiable
% 42.15/13.19  																																|-Branch two:
% 42.15/13.19  																																| (1619)  ~ (all_0_92_92 = e4)
% 42.15/13.19  																																| (610) all_0_97_97 = e4
% 42.15/13.19  																																|
% 42.15/13.19  																																	| Equations (610) can reduce 319 to:
% 42.15/13.19  																																	| (311) $false
% 42.15/13.19  																																	|
% 42.15/13.19  																																	|-The branch is then unsatisfiable
% 42.15/13.19  																													|-Branch two:
% 42.15/13.19  																													| (465)  ~ (all_0_82_82 = e4)
% 42.15/13.19  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.15/13.19  																													|
% 42.15/13.19  																														+-Applying beta-rule and splitting (10), into two cases.
% 42.15/13.19  																														|-Branch one:
% 42.15/13.19  																														| (530) all_0_82_82 = e2
% 42.15/13.19  																														|
% 42.15/13.19  																															| Equations (530) can reduce 347 to:
% 42.15/13.19  																															| (311) $false
% 42.15/13.19  																															|
% 42.15/13.19  																															|-The branch is then unsatisfiable
% 42.15/13.19  																														|-Branch two:
% 42.15/13.19  																														| (347)  ~ (all_0_82_82 = e2)
% 42.15/13.19  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 42.15/13.19  																														|
% 42.15/13.19  																															+-Applying beta-rule and splitting (4), into two cases.
% 42.15/13.19  																															|-Branch one:
% 42.15/13.19  																															| (463) all_0_78_78 = e4
% 42.15/13.19  																															|
% 42.15/13.19  																																| Combining equations (771,463) yields a new equation:
% 42.15/13.19  																																| (434) e4 = e3
% 42.15/13.19  																																|
% 42.15/13.19  																																| Equations (434) can reduce 177 to:
% 42.15/13.19  																																| (311) $false
% 42.15/13.19  																																|
% 42.15/13.19  																																|-The branch is then unsatisfiable
% 42.15/13.19  																															|-Branch two:
% 42.15/13.19  																															| (640)  ~ (all_0_78_78 = e4)
% 42.15/13.19  																															| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 42.15/13.19  																															|
% 42.15/13.19  																																+-Applying beta-rule and splitting (3625), into two cases.
% 42.15/13.19  																																|-Branch one:
% 42.15/13.19  																																| (469) all_0_82_82 = e4
% 42.15/13.19  																																|
% 42.15/13.19  																																	| Equations (469) can reduce 465 to:
% 42.15/13.19  																																	| (311) $false
% 42.15/13.19  																																	|
% 42.15/13.19  																																	|-The branch is then unsatisfiable
% 42.15/13.19  																																|-Branch two:
% 42.15/13.19  																																| (465)  ~ (all_0_82_82 = e4)
% 42.15/13.19  																																| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 42.15/13.19  																																|
% 42.15/13.19  																																	+-Applying beta-rule and splitting (472), into two cases.
% 42.15/13.19  																																	|-Branch one:
% 42.15/13.19  																																	| (438) all_0_84_84 = e4
% 42.15/13.19  																																	|
% 42.15/13.19  																																		| Equations (438) can reduce 259 to:
% 42.15/13.19  																																		| (256)  ~ (e4 = e1)
% 42.15/13.19  																																		|
% 42.15/13.19  																																		+-Applying beta-rule and splitting (3629), into two cases.
% 42.15/13.19  																																		|-Branch one:
% 42.15/13.19  																																		| (583) all_0_90_90 = e4
% 42.15/13.19  																																		|
% 42.15/13.19  																																			| Equations (583) can reduce 255 to:
% 42.15/13.19  																																			| (465)  ~ (all_0_82_82 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Equations (583) can reduce 103 to:
% 42.15/13.19  																																			| (3634)  ~ (all_0_91_91 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Simplifying 3634 yields:
% 42.15/13.19  																																			| (133)  ~ (all_0_91_91 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Equations (583) can reduce 34 to:
% 42.15/13.19  																																			| (495)  ~ (all_0_93_93 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Simplifying 495 yields:
% 42.15/13.19  																																			| (496)  ~ (all_0_93_93 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Equations (583) can reduce 229 to:
% 42.15/13.19  																																			| (314)  ~ (all_0_95_95 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Simplifying 314 yields:
% 42.15/13.19  																																			| (315)  ~ (all_0_95_95 = e4)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			| Equations (583) can reduce 745 to:
% 42.15/13.19  																																			| (177)  ~ (e4 = e3)
% 42.15/13.19  																																			|
% 42.15/13.19  																																			+-Applying beta-rule and splitting (2205), into two cases.
% 42.15/13.19  																																			|-Branch one:
% 42.15/13.19  																																			| (789) all_0_82_82 = e3
% 42.15/13.19  																																			|
% 42.15/13.19  																																				| Equations (789) can reduce 793 to:
% 42.15/13.19  																																				| (311) $false
% 42.15/13.19  																																				|
% 42.15/13.19  																																				|-The branch is then unsatisfiable
% 42.15/13.19  																																			|-Branch two:
% 42.15/13.19  																																			| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.19  																																			| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 42.15/13.19  																																			|
% 42.15/13.19  																																				+-Applying beta-rule and splitting (2706), into two cases.
% 42.15/13.19  																																				|-Branch one:
% 42.15/13.19  																																				| (910) all_0_82_82 = e0
% 42.15/13.19  																																				|
% 42.15/13.19  																																					| Equations (910) can reduce 200 to:
% 42.15/13.19  																																					| (2712)  ~ (all_0_95_95 = e0)
% 42.15/13.19  																																					|
% 42.15/13.19  																																					| Simplifying 2712 yields:
% 42.15/13.19  																																					| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.19  																																					|
% 42.15/13.19  																																					| Equations (910) can reduce 793 to:
% 42.15/13.19  																																					| (906)  ~ (e3 = e0)
% 42.15/13.19  																																					|
% 42.15/13.19  																																					| Simplifying 906 yields:
% 42.15/13.19  																																					| (50)  ~ (e3 = e0)
% 42.15/13.19  																																					|
% 42.15/13.19  																																					+-Applying beta-rule and splitting (171), into two cases.
% 42.15/13.19  																																					|-Branch one:
% 42.15/13.19  																																					| (789) all_0_82_82 = e3
% 42.15/13.19  																																					|
% 42.15/13.19  																																						| Combining equations (910,789) yields a new equation:
% 42.15/13.19  																																						| (600) e3 = e0
% 42.15/13.19  																																						|
% 42.15/13.19  																																						| Equations (600) can reduce 50 to:
% 42.15/13.19  																																						| (311) $false
% 42.15/13.19  																																						|
% 42.15/13.19  																																						|-The branch is then unsatisfiable
% 42.15/13.19  																																					|-Branch two:
% 42.15/13.19  																																					| (793)  ~ (all_0_82_82 = e3)
% 42.15/13.19  																																					| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.19  																																					|
% 42.15/13.19  																																						+-Applying beta-rule and splitting (1718), into two cases.
% 42.15/13.19  																																						|-Branch one:
% 42.15/13.19  																																						| (384) all_0_86_86 = e1
% 42.15/13.19  																																						|
% 42.15/13.19  																																							| Combining equations (345,384) yields a new equation:
% 42.15/13.19  																																							| (408) e2 = e1
% 42.15/13.19  																																							|
% 42.15/13.19  																																							| Simplifying 408 yields:
% 42.15/13.19  																																							| (385) e2 = e1
% 42.15/13.19  																																							|
% 42.15/13.19  																																							| Equations (385) can reduce 243 to:
% 42.15/13.19  																																							| (311) $false
% 42.15/13.19  																																							|
% 42.15/13.19  																																							|-The branch is then unsatisfiable
% 42.15/13.19  																																						|-Branch two:
% 42.15/13.19  																																						| (387)  ~ (all_0_86_86 = e1)
% 42.15/13.19  																																						| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 42.15/13.19  																																						|
% 42.15/13.19  																																							+-Applying beta-rule and splitting (1296), into two cases.
% 42.15/13.19  																																							|-Branch one:
% 42.15/13.19  																																							| (795) all_0_83_83 = e3
% 42.15/13.19  																																							|
% 42.15/13.19  																																								| Combining equations (795,453) yields a new equation:
% 42.15/13.19  																																								| (547) e3 = e2
% 42.15/13.19  																																								|
% 42.15/13.19  																																								| Simplifying 547 yields:
% 42.15/13.19  																																								| (548) e3 = e2
% 42.15/13.19  																																								|
% 42.15/13.19  																																								| Equations (548) can reduce 169 to:
% 42.15/13.19  																																								| (311) $false
% 42.15/13.19  																																								|
% 42.15/13.19  																																								|-The branch is then unsatisfiable
% 42.15/13.19  																																							|-Branch two:
% 42.15/13.19  																																							| (779)  ~ (all_0_83_83 = e3)
% 42.15/13.19  																																							| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 42.15/13.19  																																							|
% 42.15/13.19  																																								+-Applying beta-rule and splitting (2122), into two cases.
% 42.15/13.19  																																								|-Branch one:
% 42.15/13.19  																																								| (750) all_0_90_90 = e1
% 42.15/13.19  																																								|
% 42.15/13.19  																																									| Combining equations (583,750) yields a new equation:
% 42.15/13.19  																																									| (813) e4 = e1
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Simplifying 813 yields:
% 42.15/13.19  																																									| (814) e4 = e1
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Equations (814) can reduce 256 to:
% 42.15/13.19  																																									| (311) $false
% 42.15/13.19  																																									|
% 42.15/13.19  																																									|-The branch is then unsatisfiable
% 42.15/13.19  																																								|-Branch two:
% 42.15/13.19  																																								| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.19  																																								| (785) all_0_95_95 = e1
% 42.15/13.19  																																								|
% 42.15/13.19  																																									| Equations (785) can reduce 105 to:
% 42.15/13.19  																																									| (485)  ~ (all_0_97_97 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Simplifying 485 yields:
% 42.15/13.19  																																									| (486)  ~ (all_0_97_97 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Equations (785) can reduce 315 to:
% 42.15/13.19  																																									| (681)  ~ (e4 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Simplifying 681 yields:
% 42.15/13.19  																																									| (256)  ~ (e4 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Equations (785) can reduce 355 to:
% 42.15/13.19  																																									| (487)  ~ (e2 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Simplifying 487 yields:
% 42.15/13.19  																																									| (243)  ~ (e2 = e1)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| Equations (785) can reduce 893 to:
% 42.15/13.19  																																									| (264)  ~ (e1 = e0)
% 42.15/13.19  																																									|
% 42.15/13.19  																																									| From (785) and (275) follows:
% 42.15/13.19  																																									| (1511) op(e0, e3) = e1
% 42.15/13.19  																																									|
% 42.15/13.19  																																									+-Applying beta-rule and splitting (1594), into two cases.
% 42.15/13.19  																																									|-Branch one:
% 42.15/13.19  																																									| (1265) all_0_84_84 = e3
% 42.15/13.19  																																									|
% 42.15/13.19  																																										| Combining equations (438,1265) yields a new equation:
% 42.15/13.19  																																										| (790) e4 = e3
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Simplifying 790 yields:
% 42.15/13.19  																																										| (434) e4 = e3
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Equations (434) can reduce 177 to:
% 42.15/13.19  																																										| (311) $false
% 42.15/13.19  																																										|
% 42.15/13.19  																																										|-The branch is then unsatisfiable
% 42.15/13.19  																																									|-Branch two:
% 42.15/13.19  																																									| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.19  																																									| (804) all_0_85_85 = e3
% 42.15/13.19  																																									|
% 42.15/13.19  																																										| Equations (804) can reduce 515 to:
% 42.15/13.19  																																										| (169)  ~ (e3 = e2)
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Equations (804) can reduce 128 to:
% 42.15/13.19  																																										| (20)  ~ (e3 = e1)
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| From (804) and (26) follows:
% 42.15/13.19  																																										| (1891) op(e0, e3) = all_0_71_71
% 42.15/13.19  																																										|
% 42.15/13.19  																																										| Instantiating formula (262) with e0, e3, e1, all_0_71_71 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = e1, yields:
% 42.15/13.19  																																										| (1967) all_0_71_71 = e1
% 42.15/13.19  																																										|
% 42.15/13.19  																																										+-Applying beta-rule and splitting (89), into two cases.
% 42.15/13.19  																																										|-Branch one:
% 42.15/13.19  																																										| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 42.15/13.19  																																										|
% 42.15/13.19  																																											+-Applying beta-rule and splitting (1373), into two cases.
% 42.15/13.19  																																											|-Branch one:
% 42.15/13.19  																																											| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 42.15/13.19  																																											|
% 42.15/13.19  																																												+-Applying beta-rule and splitting (1374), into two cases.
% 42.15/13.19  																																												|-Branch one:
% 42.15/13.19  																																												| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Applying alpha-rule on (1375) yields:
% 42.15/13.19  																																													| (1376) all_0_69_69 = e4
% 42.15/13.19  																																													| (1377)  ~ (all_0_70_70 = e0)
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Equations (686) can reduce 1377 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																												|-Branch two:
% 42.15/13.19  																																												| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Applying alpha-rule on (1379) yields:
% 42.15/13.19  																																													| (1380) all_0_71_71 = e3
% 42.15/13.19  																																													| (1381)  ~ (all_0_72_72 = e0)
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Combining equations (1967,1380) yields a new equation:
% 42.15/13.19  																																													| (772) e3 = e1
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Equations (772) can reduce 20 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																											|-Branch two:
% 42.15/13.19  																																											| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 42.15/13.19  																																											|
% 42.15/13.19  																																												| Applying alpha-rule on (1385) yields:
% 42.15/13.19  																																												| (1386) all_0_73_73 = e2
% 42.15/13.19  																																												| (1387)  ~ (all_0_74_74 = e0)
% 42.15/13.19  																																												|
% 42.15/13.19  																																												+-Applying beta-rule and splitting (207), into two cases.
% 42.15/13.19  																																												|-Branch one:
% 42.15/13.19  																																												| (416) all_0_80_80 = e3
% 42.15/13.19  																																												|
% 42.15/13.19  																																													| Combining equations (546,416) yields a new equation:
% 42.15/13.19  																																													| (548) e3 = e2
% 42.15/13.19  																																													|
% 42.15/13.19  																																													| Equations (548) can reduce 169 to:
% 42.15/13.19  																																													| (311) $false
% 42.15/13.19  																																													|
% 42.15/13.19  																																													|-The branch is then unsatisfiable
% 42.15/13.19  																																												|-Branch two:
% 42.15/13.19  																																												| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.19  																																												| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.15/13.19  																																												|
% 42.15/13.19  																																													+-Applying beta-rule and splitting (132), into two cases.
% 42.15/13.19  																																													|-Branch one:
% 42.15/13.19  																																													| (750) all_0_90_90 = e1
% 42.15/13.19  																																													|
% 42.15/13.19  																																														| Combining equations (583,750) yields a new equation:
% 42.15/13.19  																																														| (813) e4 = e1
% 42.15/13.19  																																														|
% 42.15/13.19  																																														| Simplifying 813 yields:
% 42.15/13.19  																																														| (814) e4 = e1
% 42.15/13.19  																																														|
% 42.15/13.19  																																														| Equations (814) can reduce 256 to:
% 42.15/13.19  																																														| (311) $false
% 42.15/13.19  																																														|
% 42.15/13.19  																																														|-The branch is then unsatisfiable
% 42.15/13.19  																																													|-Branch two:
% 42.15/13.19  																																													| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.19  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.19  																																													|
% 42.15/13.19  																																														+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.19  																																														|-Branch one:
% 42.15/13.19  																																														| (858) all_0_95_95 = e0
% 42.15/13.19  																																														|
% 42.15/13.19  																																															| Combining equations (785,858) yields a new equation:
% 42.15/13.19  																																															| (1107) e1 = e0
% 42.15/13.19  																																															|
% 42.15/13.19  																																															| Simplifying 1107 yields:
% 42.15/13.19  																																															| (865) e1 = e0
% 42.15/13.19  																																															|
% 42.15/13.20  																																															| Equations (865) can reduce 264 to:
% 42.15/13.20  																																															| (311) $false
% 42.15/13.20  																																															|
% 42.15/13.20  																																															|-The branch is then unsatisfiable
% 42.15/13.20  																																														|-Branch two:
% 42.15/13.20  																																														| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.20  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.20  																																														|
% 42.15/13.20  																																															+-Applying beta-rule and splitting (151), into two cases.
% 42.15/13.20  																																															|-Branch one:
% 42.15/13.20  																																															| (824) all_0_80_80 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																																| Combining equations (546,824) yields a new equation:
% 42.15/13.20  																																																| (408) e2 = e1
% 42.15/13.20  																																																|
% 42.15/13.20  																																																| Simplifying 408 yields:
% 42.15/13.20  																																																| (385) e2 = e1
% 42.15/13.20  																																																|
% 42.15/13.20  																																																| Equations (385) can reduce 243 to:
% 42.15/13.20  																																																| (311) $false
% 42.15/13.20  																																																|
% 42.15/13.20  																																																|-The branch is then unsatisfiable
% 42.15/13.20  																																															|-Branch two:
% 42.15/13.20  																																															| (828)  ~ (all_0_80_80 = e1)
% 42.15/13.20  																																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																																+-Applying beta-rule and splitting (65), into two cases.
% 42.15/13.20  																																																|-Branch one:
% 42.15/13.20  																																																| (522) all_0_93_93 = e2
% 42.15/13.20  																																																|
% 42.15/13.20  																																																	| Equations (522) can reduce 300 to:
% 42.15/13.20  																																																	| (311) $false
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																	|-The branch is then unsatisfiable
% 42.15/13.20  																																																|-Branch two:
% 42.15/13.20  																																																| (300)  ~ (all_0_93_93 = e2)
% 42.15/13.20  																																																| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.15/13.20  																																																|
% 42.15/13.20  																																																	+-Applying beta-rule and splitting (119), into two cases.
% 42.15/13.20  																																																	|-Branch one:
% 42.15/13.20  																																																	| (1343) all_0_92_92 = e2
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																		| Equations (1343) can reduce 298 to:
% 42.15/13.20  																																																		| (311) $false
% 42.15/13.20  																																																		|
% 42.15/13.20  																																																		|-The branch is then unsatisfiable
% 42.15/13.20  																																																	|-Branch two:
% 42.15/13.20  																																																	| (298)  ~ (all_0_92_92 = e2)
% 42.15/13.20  																																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																		+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.20  																																																		|-Branch one:
% 42.15/13.20  																																																		| (504) all_0_88_88 = e1
% 42.15/13.20  																																																		|
% 42.15/13.20  																																																			| Equations (504) can reduce 181 to:
% 42.15/13.20  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Equations (504) can reduce 286 to:
% 42.15/13.20  																																																			| (480)  ~ (all_0_93_93 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Simplifying 480 yields:
% 42.15/13.20  																																																			| (481)  ~ (all_0_93_93 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| From (504) and (230) follows:
% 42.15/13.20  																																																			| (2305) op(e2, e0) = e1
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.20  																																																			|-Branch one:
% 42.15/13.20  																																																			| (482) all_0_87_87 = e1
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																				| Equations (482) can reduce 625 to:
% 42.15/13.20  																																																				| (311) $false
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																				|-The branch is then unsatisfiable
% 42.15/13.20  																																																			|-Branch two:
% 42.15/13.20  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.20  																																																			| (861) all_0_87_87 = e0
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																				| Equations (861) can reduce 221 to:
% 42.15/13.20  																																																				| (938)  ~ (all_0_97_97 = e0)
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																				| Simplifying 938 yields:
% 42.15/13.20  																																																				| (609)  ~ (all_0_97_97 = e0)
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																				+-Applying beta-rule and splitting (1921), into two cases.
% 42.15/13.20  																																																				|-Branch one:
% 42.15/13.20  																																																				| (1837) all_0_96_96 = e0
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																					| Equations (1837) can reduce 64 to:
% 42.15/13.20  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																					| From (1837) and (4960) follows:
% 42.15/13.20  																																																					| (2170) op(e2, e0) = e0
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																					+-Applying beta-rule and splitting (1726), into two cases.
% 42.15/13.20  																																																					|-Branch one:
% 42.15/13.20  																																																					| (801) all_0_91_91 = e1
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																						| Equations (801) can reduce 959 to:
% 42.15/13.20  																																																						| (311) $false
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																						|-The branch is then unsatisfiable
% 42.15/13.20  																																																					|-Branch two:
% 42.15/13.20  																																																					| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.20  																																																					| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																						+-Applying beta-rule and splitting (1880), into two cases.
% 42.15/13.20  																																																						|-Branch one:
% 42.15/13.20  																																																						| (588) all_0_91_91 = e3
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																							| Equations (588) can reduce 265 to:
% 42.15/13.20  																																																							| (425)  ~ (all_0_92_92 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Simplifying 425 yields:
% 42.15/13.20  																																																							| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Equations (588) can reduce 44 to:
% 42.15/13.20  																																																							| (807)  ~ (all_0_93_93 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Simplifying 807 yields:
% 42.15/13.20  																																																							| (602)  ~ (all_0_93_93 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Equations (588) can reduce 133 to:
% 42.15/13.20  																																																							| (783)  ~ (e4 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Simplifying 783 yields:
% 42.15/13.20  																																																							| (177)  ~ (e4 = e3)
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							+-Applying beta-rule and splitting (2481), into two cases.
% 42.15/13.20  																																																							|-Branch one:
% 42.15/13.20  																																																							| (1265) all_0_84_84 = e3
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																								| Combining equations (438,1265) yields a new equation:
% 42.15/13.20  																																																								| (790) e4 = e3
% 42.15/13.20  																																																								|
% 42.15/13.20  																																																								| Simplifying 790 yields:
% 42.15/13.20  																																																								| (434) e4 = e3
% 42.15/13.20  																																																								|
% 42.15/13.20  																																																								| Equations (434) can reduce 177 to:
% 42.15/13.20  																																																								| (311) $false
% 42.15/13.20  																																																								|
% 42.15/13.20  																																																								|-The branch is then unsatisfiable
% 42.15/13.20  																																																							|-Branch two:
% 42.15/13.20  																																																							| (422)  ~ (all_0_84_84 = e3)
% 42.15/13.20  																																																							| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																								+-Applying beta-rule and splitting (3765), into two cases.
% 42.15/13.20  																																																								|-Branch one:
% 42.15/13.20  																																																								| (882) all_0_92_92 = e3
% 42.15/13.20  																																																								|
% 42.15/13.20  																																																									| Equations (882) can reduce 426 to:
% 42.15/13.20  																																																									| (311) $false
% 42.15/13.20  																																																									|
% 42.15/13.20  																																																									|-The branch is then unsatisfiable
% 42.15/13.20  																																																								|-Branch two:
% 42.15/13.20  																																																								| (426)  ~ (all_0_92_92 = e3)
% 42.15/13.20  																																																								| (556) all_0_97_97 = e3
% 42.15/13.20  																																																								|
% 42.15/13.20  																																																									| Equations (556) can reduce 486 to:
% 42.15/13.20  																																																									| (20)  ~ (e3 = e1)
% 42.15/13.20  																																																									|
% 42.15/13.20  																																																									+-Applying beta-rule and splitting (565), into two cases.
% 42.15/13.20  																																																									|-Branch one:
% 42.15/13.20  																																																									| (566) all_0_93_93 = e1
% 42.15/13.20  																																																									|
% 42.15/13.20  																																																										| Equations (566) can reduce 481 to:
% 42.15/13.20  																																																										| (311) $false
% 42.15/13.20  																																																										|
% 42.15/13.20  																																																										|-The branch is then unsatisfiable
% 42.15/13.20  																																																									|-Branch two:
% 42.15/13.20  																																																									| (481)  ~ (all_0_93_93 = e1)
% 42.15/13.20  																																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.15/13.20  																																																									|
% 42.15/13.20  																																																										+-Applying beta-rule and splitting (569), into two cases.
% 42.15/13.20  																																																										|-Branch one:
% 42.15/13.20  																																																										| (570) all_0_93_93 = e3
% 42.15/13.20  																																																										|
% 42.15/13.20  																																																											| Equations (570) can reduce 602 to:
% 42.15/13.20  																																																											| (311) $false
% 42.15/13.20  																																																											|
% 42.15/13.20  																																																											|-The branch is then unsatisfiable
% 42.15/13.20  																																																										|-Branch two:
% 42.15/13.20  																																																										| (602)  ~ (all_0_93_93 = e3)
% 42.15/13.20  																																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.15/13.20  																																																										|
% 42.15/13.20  																																																											+-Applying beta-rule and splitting (603), into two cases.
% 42.15/13.20  																																																											|-Branch one:
% 42.15/13.20  																																																											| (604) all_0_93_93 = e0
% 42.15/13.20  																																																											|
% 42.15/13.20  																																																												| Equations (604) can reduce 283 to:
% 42.15/13.20  																																																												| (946)  ~ (all_0_92_92 = e0)
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																												| Equations (604) can reduce 481 to:
% 42.15/13.20  																																																												| (859)  ~ (e1 = e0)
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																												| Simplifying 859 yields:
% 42.15/13.20  																																																												| (264)  ~ (e1 = e0)
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																												+-Applying beta-rule and splitting (1526), into two cases.
% 42.15/13.20  																																																												|-Branch one:
% 42.15/13.20  																																																												| (801) all_0_91_91 = e1
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																													| Combining equations (801,588) yields a new equation:
% 42.15/13.20  																																																													| (772) e3 = e1
% 42.15/13.20  																																																													|
% 42.15/13.20  																																																													| Equations (772) can reduce 20 to:
% 42.15/13.20  																																																													| (311) $false
% 42.15/13.20  																																																													|
% 42.15/13.20  																																																													|-The branch is then unsatisfiable
% 42.15/13.20  																																																												|-Branch two:
% 42.15/13.20  																																																												| (959)  ~ (all_0_91_91 = e1)
% 42.15/13.20  																																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																													+-Applying beta-rule and splitting (829), into two cases.
% 42.15/13.20  																																																													|-Branch one:
% 42.15/13.20  																																																													| (482) all_0_87_87 = e1
% 42.15/13.20  																																																													|
% 42.15/13.20  																																																														| Combining equations (861,482) yields a new equation:
% 42.15/13.20  																																																														| (865) e1 = e0
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																														| Equations (865) can reduce 264 to:
% 42.15/13.20  																																																														| (311) $false
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																														|-The branch is then unsatisfiable
% 42.15/13.20  																																																													|-Branch two:
% 42.15/13.20  																																																													| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.20  																																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.15/13.20  																																																													|
% 42.15/13.20  																																																														| Equations (861) can reduce 625 to:
% 42.15/13.20  																																																														| (859)  ~ (e1 = e0)
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																														| Simplifying 859 yields:
% 42.15/13.20  																																																														| (264)  ~ (e1 = e0)
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																														+-Applying beta-rule and splitting (3735), into two cases.
% 42.15/13.20  																																																														|-Branch one:
% 42.15/13.20  																																																														| (836) all_0_92_92 = e1
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																															| Equations (836) can reduce 946 to:
% 42.15/13.20  																																																															| (264)  ~ (e1 = e0)
% 42.15/13.20  																																																															|
% 42.15/13.20  																																																															| Instantiating formula (262) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 42.15/13.20  																																																															| (865) e1 = e0
% 42.15/13.20  																																																															|
% 42.15/13.20  																																																															| Equations (865) can reduce 264 to:
% 42.15/13.20  																																																															| (311) $false
% 42.15/13.20  																																																															|
% 42.15/13.20  																																																															|-The branch is then unsatisfiable
% 42.15/13.20  																																																														|-Branch two:
% 42.15/13.20  																																																														| (840)  ~ (all_0_92_92 = e1)
% 42.15/13.20  																																																														| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 42.15/13.20  																																																														|
% 42.15/13.20  																																																															+-Applying beta-rule and splitting (1556), into two cases.
% 42.15/13.20  																																																															|-Branch one:
% 42.15/13.20  																																																															| (836) all_0_92_92 = e1
% 42.15/13.20  																																																															|
% 42.15/13.20  																																																																| Equations (836) can reduce 840 to:
% 42.15/13.20  																																																																| (311) $false
% 42.15/13.20  																																																																|
% 42.15/13.20  																																																																|-The branch is then unsatisfiable
% 42.15/13.20  																																																															|-Branch two:
% 42.15/13.20  																																																															| (840)  ~ (all_0_92_92 = e1)
% 42.15/13.20  																																																															| (566) all_0_93_93 = e1
% 42.15/13.20  																																																															|
% 42.15/13.20  																																																																| Combining equations (566,604) yields a new equation:
% 42.15/13.20  																																																																| (1107) e1 = e0
% 42.15/13.20  																																																																|
% 42.15/13.20  																																																																| Simplifying 1107 yields:
% 42.15/13.20  																																																																| (865) e1 = e0
% 42.15/13.20  																																																																|
% 42.15/13.20  																																																																| Equations (865) can reduce 264 to:
% 42.15/13.20  																																																																| (311) $false
% 42.15/13.20  																																																																|
% 42.15/13.20  																																																																|-The branch is then unsatisfiable
% 42.15/13.20  																																																											|-Branch two:
% 42.15/13.20  																																																											| (509)  ~ (all_0_93_93 = e0)
% 42.15/13.20  																																																											| (607) all_0_93_93 = e4
% 42.15/13.20  																																																											|
% 42.15/13.20  																																																												| Equations (607) can reduce 496 to:
% 42.15/13.20  																																																												| (311) $false
% 42.15/13.20  																																																												|
% 42.15/13.20  																																																												|-The branch is then unsatisfiable
% 42.15/13.20  																																																						|-Branch two:
% 42.15/13.20  																																																						| (571)  ~ (all_0_91_91 = e3)
% 42.15/13.20  																																																						| (1456) all_0_91_91 = e0
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																							| Equations (1456) can reduce 1487 to:
% 42.15/13.20  																																																							| (311) $false
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							|-The branch is then unsatisfiable
% 42.15/13.20  																																																				|-Branch two:
% 42.15/13.20  																																																				| (2095)  ~ (all_0_96_96 = e0)
% 42.15/13.20  																																																				| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 42.15/13.20  																																																					|-Branch one:
% 42.15/13.20  																																																					| (1456) all_0_91_91 = e0
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																						| Equations (1456) can reduce 296 to:
% 42.15/13.20  																																																						| (510)  ~ (e2 = e0)
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																						| Simplifying 510 yields:
% 42.15/13.20  																																																						| (76)  ~ (e2 = e0)
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																						+-Applying beta-rule and splitting (2096), into two cases.
% 42.15/13.20  																																																						|-Branch one:
% 42.15/13.20  																																																						| (560) all_0_97_97 = e0
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																							| Equations (560) can reduce 609 to:
% 42.15/13.20  																																																							| (311) $false
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							|-The branch is then unsatisfiable
% 42.15/13.20  																																																						|-Branch two:
% 42.15/13.20  																																																						| (609)  ~ (all_0_97_97 = e0)
% 42.15/13.20  																																																						| (1121) all_0_98_98 = e0
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																							| Combining equations (1121,525) yields a new equation:
% 42.15/13.20  																																																							| (379) e2 = e0
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							| Equations (379) can reduce 76 to:
% 42.15/13.20  																																																							| (311) $false
% 42.15/13.20  																																																							|
% 42.15/13.20  																																																							|-The branch is then unsatisfiable
% 42.15/13.20  																																																					|-Branch two:
% 42.15/13.20  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.15/13.20  																																																					| (1837) all_0_96_96 = e0
% 42.15/13.20  																																																					|
% 42.15/13.20  																																																						| Equations (1837) can reduce 2095 to:
% 42.15/13.20  																																																						| (311) $false
% 42.15/13.20  																																																						|
% 42.15/13.20  																																																						|-The branch is then unsatisfiable
% 42.15/13.20  																																																		|-Branch two:
% 42.15/13.20  																																																		| (479)  ~ (all_0_88_88 = e1)
% 42.15/13.20  																																																		| (507) all_0_88_88 = e0
% 42.15/13.20  																																																		|
% 42.15/13.20  																																																			| From (507) and (161) follows:
% 42.15/13.20  																																																			| (2169) op(e2, e0) = all_0_74_74
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| From (507) and (230) follows:
% 42.15/13.20  																																																			| (2170) op(e2, e0) = e0
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 42.15/13.20  																																																			| (1965) all_0_74_74 = e0
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Equations (1965) can reduce 1387 to:
% 42.15/13.20  																																																			| (311) $false
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			|-The branch is then unsatisfiable
% 42.15/13.20  																																										|-Branch two:
% 42.15/13.20  																																										| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 42.15/13.20  																																										|
% 42.15/13.20  																																											| Applying alpha-rule on (1391) yields:
% 42.15/13.20  																																											| (1392) all_0_75_75 = e1
% 42.15/13.20  																																											| (1393)  ~ (all_0_76_76 = e0)
% 42.15/13.20  																																											|
% 42.15/13.20  																																											| From (1392) and (173) follows:
% 42.15/13.20  																																											| (1394) op(e0, all_0_93_93) = e1
% 42.15/13.20  																																											|
% 42.15/13.20  																																											+-Applying beta-rule and splitting (207), into two cases.
% 42.15/13.20  																																											|-Branch one:
% 42.15/13.20  																																											| (416) all_0_80_80 = e3
% 42.15/13.20  																																											|
% 42.15/13.20  																																												| Combining equations (546,416) yields a new equation:
% 42.15/13.20  																																												| (548) e3 = e2
% 42.15/13.20  																																												|
% 42.15/13.20  																																												| Equations (548) can reduce 169 to:
% 42.15/13.20  																																												| (311) $false
% 42.15/13.20  																																												|
% 42.15/13.20  																																												|-The branch is then unsatisfiable
% 42.15/13.20  																																											|-Branch two:
% 42.15/13.20  																																											| (2347)  ~ (all_0_80_80 = e3)
% 42.15/13.20  																																											| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.15/13.20  																																											|
% 42.15/13.20  																																												+-Applying beta-rule and splitting (132), into two cases.
% 42.15/13.20  																																												|-Branch one:
% 42.15/13.20  																																												| (750) all_0_90_90 = e1
% 42.15/13.20  																																												|
% 42.15/13.20  																																													| Combining equations (583,750) yields a new equation:
% 42.15/13.20  																																													| (813) e4 = e1
% 42.15/13.20  																																													|
% 42.15/13.20  																																													| Simplifying 813 yields:
% 42.15/13.20  																																													| (814) e4 = e1
% 42.15/13.20  																																													|
% 42.15/13.20  																																													| Equations (814) can reduce 256 to:
% 42.15/13.20  																																													| (311) $false
% 42.15/13.20  																																													|
% 42.15/13.20  																																													|-The branch is then unsatisfiable
% 42.15/13.20  																																												|-Branch two:
% 42.15/13.20  																																												| (678)  ~ (all_0_90_90 = e1)
% 42.15/13.20  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.15/13.20  																																												|
% 42.15/13.20  																																													| Equations (583) can reduce 678 to:
% 42.15/13.20  																																													| (256)  ~ (e4 = e1)
% 42.15/13.20  																																													|
% 42.15/13.20  																																													+-Applying beta-rule and splitting (102), into two cases.
% 42.15/13.20  																																													|-Branch one:
% 42.15/13.20  																																													| (858) all_0_95_95 = e0
% 42.15/13.20  																																													|
% 42.15/13.20  																																														| Combining equations (785,858) yields a new equation:
% 42.15/13.20  																																														| (1107) e1 = e0
% 42.15/13.20  																																														|
% 42.15/13.20  																																														| Simplifying 1107 yields:
% 42.15/13.20  																																														| (865) e1 = e0
% 42.15/13.20  																																														|
% 42.15/13.20  																																														| Equations (865) can reduce 264 to:
% 42.15/13.20  																																														| (311) $false
% 42.15/13.20  																																														|
% 42.15/13.20  																																														|-The branch is then unsatisfiable
% 42.15/13.20  																																													|-Branch two:
% 42.15/13.20  																																													| (893)  ~ (all_0_95_95 = e0)
% 42.15/13.20  																																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.15/13.20  																																													|
% 42.15/13.20  																																														+-Applying beta-rule and splitting (151), into two cases.
% 42.15/13.20  																																														|-Branch one:
% 42.15/13.20  																																														| (824) all_0_80_80 = e1
% 42.15/13.20  																																														|
% 42.15/13.20  																																															| Combining equations (546,824) yields a new equation:
% 42.15/13.20  																																															| (408) e2 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																															| Simplifying 408 yields:
% 42.15/13.20  																																															| (385) e2 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																															| Equations (385) can reduce 243 to:
% 42.15/13.20  																																															| (311) $false
% 42.15/13.20  																																															|
% 42.15/13.20  																																															|-The branch is then unsatisfiable
% 42.15/13.20  																																														|-Branch two:
% 42.15/13.20  																																														| (828)  ~ (all_0_80_80 = e1)
% 42.15/13.20  																																														| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.15/13.20  																																														|
% 42.15/13.20  																																															+-Applying beta-rule and splitting (108), into two cases.
% 42.15/13.20  																																															|-Branch one:
% 42.15/13.20  																																															| (477) all_0_81_81 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																																| Combining equations (638,477) yields a new equation:
% 42.15/13.20  																																																| (813) e4 = e1
% 42.15/13.20  																																																|
% 42.15/13.20  																																																| Simplifying 813 yields:
% 42.15/13.20  																																																| (814) e4 = e1
% 42.15/13.20  																																																|
% 42.15/13.20  																																																| Equations (814) can reduce 256 to:
% 42.15/13.20  																																																| (311) $false
% 42.15/13.20  																																																|
% 42.15/13.20  																																																|-The branch is then unsatisfiable
% 42.15/13.20  																																															|-Branch two:
% 42.15/13.20  																																															| (628)  ~ (all_0_81_81 = e1)
% 42.15/13.20  																																															| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 42.15/13.20  																																															|
% 42.15/13.20  																																																+-Applying beta-rule and splitting (65), into two cases.
% 42.15/13.20  																																																|-Branch one:
% 42.15/13.20  																																																| (522) all_0_93_93 = e2
% 42.15/13.20  																																																|
% 42.15/13.20  																																																	| Equations (522) can reduce 300 to:
% 42.15/13.20  																																																	| (311) $false
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																	|-The branch is then unsatisfiable
% 42.15/13.20  																																																|-Branch two:
% 42.15/13.20  																																																| (300)  ~ (all_0_93_93 = e2)
% 42.15/13.20  																																																| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.15/13.20  																																																|
% 42.15/13.20  																																																	+-Applying beta-rule and splitting (119), into two cases.
% 42.15/13.20  																																																	|-Branch one:
% 42.15/13.20  																																																	| (1343) all_0_92_92 = e2
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																		| Equations (1343) can reduce 298 to:
% 42.15/13.20  																																																		| (311) $false
% 42.15/13.20  																																																		|
% 42.15/13.20  																																																		|-The branch is then unsatisfiable
% 42.15/13.20  																																																	|-Branch two:
% 42.15/13.20  																																																	| (298)  ~ (all_0_92_92 = e2)
% 42.15/13.20  																																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 42.15/13.20  																																																	|
% 42.15/13.20  																																																		+-Applying beta-rule and splitting (373), into two cases.
% 42.15/13.20  																																																		|-Branch one:
% 42.15/13.20  																																																		| (504) all_0_88_88 = e1
% 42.15/13.20  																																																		|
% 42.15/13.20  																																																			| Equations (504) can reduce 181 to:
% 42.15/13.20  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Equations (504) can reduce 286 to:
% 42.15/13.20  																																																			| (480)  ~ (all_0_93_93 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| Simplifying 480 yields:
% 42.15/13.20  																																																			| (481)  ~ (all_0_93_93 = e1)
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			| From (504) and (230) follows:
% 42.15/13.20  																																																			| (2305) op(e2, e0) = e1
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																			+-Applying beta-rule and splitting (377), into two cases.
% 42.15/13.20  																																																			|-Branch one:
% 42.15/13.20  																																																			| (482) all_0_87_87 = e1
% 42.15/13.20  																																																			|
% 42.15/13.20  																																																				| Equations (482) can reduce 625 to:
% 42.15/13.20  																																																				| (311) $false
% 42.15/13.20  																																																				|
% 42.15/13.20  																																																				|-The branch is then unsatisfiable
% 42.15/13.20  																																																			|-Branch two:
% 42.50/13.20  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.20  																																																			| (861) all_0_87_87 = e0
% 42.50/13.20  																																																			|
% 42.50/13.20  																																																				| Equations (861) can reduce 221 to:
% 42.50/13.20  																																																				| (938)  ~ (all_0_97_97 = e0)
% 42.50/13.20  																																																				|
% 42.50/13.20  																																																				| Simplifying 938 yields:
% 42.50/13.20  																																																				| (609)  ~ (all_0_97_97 = e0)
% 42.50/13.20  																																																				|
% 42.50/13.20  																																																				+-Applying beta-rule and splitting (1921), into two cases.
% 42.50/13.20  																																																				|-Branch one:
% 42.50/13.20  																																																				| (1837) all_0_96_96 = e0
% 42.50/13.20  																																																				|
% 42.50/13.20  																																																					| Equations (1837) can reduce 64 to:
% 42.50/13.21  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																					| From (1837) and (4960) follows:
% 42.50/13.21  																																																					| (2170) op(e2, e0) = e0
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																					+-Applying beta-rule and splitting (1726), into two cases.
% 42.50/13.21  																																																					|-Branch one:
% 42.50/13.21  																																																					| (801) all_0_91_91 = e1
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						| Equations (801) can reduce 959 to:
% 42.50/13.21  																																																						| (311) $false
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						|-The branch is then unsatisfiable
% 42.50/13.21  																																																					|-Branch two:
% 42.50/13.21  																																																					| (959)  ~ (all_0_91_91 = e1)
% 42.50/13.21  																																																					| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						+-Applying beta-rule and splitting (1880), into two cases.
% 42.50/13.21  																																																						|-Branch one:
% 42.50/13.21  																																																						| (588) all_0_91_91 = e3
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																							| Equations (588) can reduce 265 to:
% 42.50/13.21  																																																							| (425)  ~ (all_0_92_92 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Simplifying 425 yields:
% 42.50/13.21  																																																							| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Equations (588) can reduce 44 to:
% 42.50/13.21  																																																							| (807)  ~ (all_0_93_93 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Simplifying 807 yields:
% 42.50/13.21  																																																							| (602)  ~ (all_0_93_93 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Equations (588) can reduce 133 to:
% 42.50/13.21  																																																							| (783)  ~ (e4 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Simplifying 783 yields:
% 42.50/13.21  																																																							| (177)  ~ (e4 = e3)
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							+-Applying beta-rule and splitting (2481), into two cases.
% 42.50/13.21  																																																							|-Branch one:
% 42.50/13.21  																																																							| (1265) all_0_84_84 = e3
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																								| Combining equations (438,1265) yields a new equation:
% 42.50/13.21  																																																								| (790) e4 = e3
% 42.50/13.21  																																																								|
% 42.50/13.21  																																																								| Simplifying 790 yields:
% 42.50/13.21  																																																								| (434) e4 = e3
% 42.50/13.21  																																																								|
% 42.50/13.21  																																																								| Equations (434) can reduce 177 to:
% 42.50/13.21  																																																								| (311) $false
% 42.50/13.21  																																																								|
% 42.50/13.21  																																																								|-The branch is then unsatisfiable
% 42.50/13.21  																																																							|-Branch two:
% 42.50/13.21  																																																							| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.21  																																																							| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																								+-Applying beta-rule and splitting (3765), into two cases.
% 42.50/13.21  																																																								|-Branch one:
% 42.50/13.21  																																																								| (882) all_0_92_92 = e3
% 42.50/13.21  																																																								|
% 42.50/13.21  																																																									| Equations (882) can reduce 426 to:
% 42.50/13.21  																																																									| (311) $false
% 42.50/13.21  																																																									|
% 42.50/13.21  																																																									|-The branch is then unsatisfiable
% 42.50/13.21  																																																								|-Branch two:
% 42.50/13.21  																																																								| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.21  																																																								| (556) all_0_97_97 = e3
% 42.50/13.21  																																																								|
% 42.50/13.21  																																																									| Equations (556) can reduce 486 to:
% 42.50/13.21  																																																									| (20)  ~ (e3 = e1)
% 42.50/13.21  																																																									|
% 42.50/13.21  																																																									+-Applying beta-rule and splitting (565), into two cases.
% 42.50/13.21  																																																									|-Branch one:
% 42.50/13.21  																																																									| (566) all_0_93_93 = e1
% 42.50/13.21  																																																									|
% 42.50/13.21  																																																										| Equations (566) can reduce 481 to:
% 42.50/13.21  																																																										| (311) $false
% 42.50/13.21  																																																										|
% 42.50/13.21  																																																										|-The branch is then unsatisfiable
% 42.50/13.21  																																																									|-Branch two:
% 42.50/13.21  																																																									| (481)  ~ (all_0_93_93 = e1)
% 42.50/13.21  																																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.50/13.21  																																																									|
% 42.50/13.21  																																																										+-Applying beta-rule and splitting (569), into two cases.
% 42.50/13.21  																																																										|-Branch one:
% 42.50/13.21  																																																										| (570) all_0_93_93 = e3
% 42.50/13.21  																																																										|
% 42.50/13.21  																																																											| Equations (570) can reduce 602 to:
% 42.50/13.21  																																																											| (311) $false
% 42.50/13.21  																																																											|
% 42.50/13.21  																																																											|-The branch is then unsatisfiable
% 42.50/13.21  																																																										|-Branch two:
% 42.50/13.21  																																																										| (602)  ~ (all_0_93_93 = e3)
% 42.50/13.21  																																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.50/13.21  																																																										|
% 42.50/13.21  																																																											+-Applying beta-rule and splitting (603), into two cases.
% 42.50/13.21  																																																											|-Branch one:
% 42.50/13.21  																																																											| (604) all_0_93_93 = e0
% 42.50/13.21  																																																											|
% 42.50/13.21  																																																												| Equations (604) can reduce 283 to:
% 42.50/13.21  																																																												| (946)  ~ (all_0_92_92 = e0)
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																												| Equations (604) can reduce 481 to:
% 42.50/13.21  																																																												| (859)  ~ (e1 = e0)
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																												| Simplifying 859 yields:
% 42.50/13.21  																																																												| (264)  ~ (e1 = e0)
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																												+-Applying beta-rule and splitting (1526), into two cases.
% 42.50/13.21  																																																												|-Branch one:
% 42.50/13.21  																																																												| (801) all_0_91_91 = e1
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																													| Combining equations (801,588) yields a new equation:
% 42.50/13.21  																																																													| (772) e3 = e1
% 42.50/13.21  																																																													|
% 42.50/13.21  																																																													| Equations (772) can reduce 20 to:
% 42.50/13.21  																																																													| (311) $false
% 42.50/13.21  																																																													|
% 42.50/13.21  																																																													|-The branch is then unsatisfiable
% 42.50/13.21  																																																												|-Branch two:
% 42.50/13.21  																																																												| (959)  ~ (all_0_91_91 = e1)
% 42.50/13.21  																																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																													+-Applying beta-rule and splitting (829), into two cases.
% 42.50/13.21  																																																													|-Branch one:
% 42.50/13.21  																																																													| (482) all_0_87_87 = e1
% 42.50/13.21  																																																													|
% 42.50/13.21  																																																														| Combining equations (861,482) yields a new equation:
% 42.50/13.21  																																																														| (865) e1 = e0
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																														| Equations (865) can reduce 264 to:
% 42.50/13.21  																																																														| (311) $false
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																														|-The branch is then unsatisfiable
% 42.50/13.21  																																																													|-Branch two:
% 42.50/13.21  																																																													| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.21  																																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.50/13.21  																																																													|
% 42.50/13.21  																																																														| Equations (861) can reduce 625 to:
% 42.50/13.21  																																																														| (859)  ~ (e1 = e0)
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																														| Simplifying 859 yields:
% 42.50/13.21  																																																														| (264)  ~ (e1 = e0)
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																														+-Applying beta-rule and splitting (3735), into two cases.
% 42.50/13.21  																																																														|-Branch one:
% 42.50/13.21  																																																														| (836) all_0_92_92 = e1
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																															| Equations (836) can reduce 946 to:
% 42.50/13.21  																																																															| (264)  ~ (e1 = e0)
% 42.50/13.21  																																																															|
% 42.50/13.21  																																																															| Instantiating formula (262) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 42.50/13.21  																																																															| (865) e1 = e0
% 42.50/13.21  																																																															|
% 42.50/13.21  																																																															| Equations (865) can reduce 264 to:
% 42.50/13.21  																																																															| (311) $false
% 42.50/13.21  																																																															|
% 42.50/13.21  																																																															|-The branch is then unsatisfiable
% 42.50/13.21  																																																														|-Branch two:
% 42.50/13.21  																																																														| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.21  																																																														| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 42.50/13.21  																																																														|
% 42.50/13.21  																																																															+-Applying beta-rule and splitting (1556), into two cases.
% 42.50/13.21  																																																															|-Branch one:
% 42.50/13.21  																																																															| (836) all_0_92_92 = e1
% 42.50/13.21  																																																															|
% 42.50/13.21  																																																																| Equations (836) can reduce 840 to:
% 42.50/13.21  																																																																| (311) $false
% 42.50/13.21  																																																																|
% 42.50/13.21  																																																																|-The branch is then unsatisfiable
% 42.50/13.21  																																																															|-Branch two:
% 42.50/13.21  																																																															| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.21  																																																															| (566) all_0_93_93 = e1
% 42.50/13.21  																																																															|
% 42.50/13.21  																																																																| Combining equations (566,604) yields a new equation:
% 42.50/13.21  																																																																| (1107) e1 = e0
% 42.50/13.21  																																																																|
% 42.50/13.21  																																																																| Simplifying 1107 yields:
% 42.50/13.21  																																																																| (865) e1 = e0
% 42.50/13.21  																																																																|
% 42.50/13.21  																																																																| Equations (865) can reduce 264 to:
% 42.50/13.21  																																																																| (311) $false
% 42.50/13.21  																																																																|
% 42.50/13.21  																																																																|-The branch is then unsatisfiable
% 42.50/13.21  																																																											|-Branch two:
% 42.50/13.21  																																																											| (509)  ~ (all_0_93_93 = e0)
% 42.50/13.21  																																																											| (607) all_0_93_93 = e4
% 42.50/13.21  																																																											|
% 42.50/13.21  																																																												| Equations (607) can reduce 496 to:
% 42.50/13.21  																																																												| (311) $false
% 42.50/13.21  																																																												|
% 42.50/13.21  																																																												|-The branch is then unsatisfiable
% 42.50/13.21  																																																						|-Branch two:
% 42.50/13.21  																																																						| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.21  																																																						| (1456) all_0_91_91 = e0
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																							| Equations (1456) can reduce 1487 to:
% 42.50/13.21  																																																							| (311) $false
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							|-The branch is then unsatisfiable
% 42.50/13.21  																																																				|-Branch two:
% 42.50/13.21  																																																				| (2095)  ~ (all_0_96_96 = e0)
% 42.50/13.21  																																																				| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.21  																																																					|-Branch one:
% 42.50/13.21  																																																					| (1456) all_0_91_91 = e0
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						| Equations (1456) can reduce 296 to:
% 42.50/13.21  																																																						| (510)  ~ (e2 = e0)
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						| Simplifying 510 yields:
% 42.50/13.21  																																																						| (76)  ~ (e2 = e0)
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						+-Applying beta-rule and splitting (2096), into two cases.
% 42.50/13.21  																																																						|-Branch one:
% 42.50/13.21  																																																						| (560) all_0_97_97 = e0
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																							| Equations (560) can reduce 609 to:
% 42.50/13.21  																																																							| (311) $false
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							|-The branch is then unsatisfiable
% 42.50/13.21  																																																						|-Branch two:
% 42.50/13.21  																																																						| (609)  ~ (all_0_97_97 = e0)
% 42.50/13.21  																																																						| (1121) all_0_98_98 = e0
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																							| Combining equations (1121,525) yields a new equation:
% 42.50/13.21  																																																							| (379) e2 = e0
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							| Equations (379) can reduce 76 to:
% 42.50/13.21  																																																							| (311) $false
% 42.50/13.21  																																																							|
% 42.50/13.21  																																																							|-The branch is then unsatisfiable
% 42.50/13.21  																																																					|-Branch two:
% 42.50/13.21  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.21  																																																					| (1837) all_0_96_96 = e0
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						| Equations (1837) can reduce 2095 to:
% 42.50/13.21  																																																						| (311) $false
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						|-The branch is then unsatisfiable
% 42.50/13.21  																																																		|-Branch two:
% 42.50/13.21  																																																		| (479)  ~ (all_0_88_88 = e1)
% 42.50/13.21  																																																		| (507) all_0_88_88 = e0
% 42.50/13.21  																																																		|
% 42.50/13.21  																																																			| Equations (507) can reduce 181 to:
% 42.50/13.21  																																																			| (889)  ~ (all_0_87_87 = e0)
% 42.50/13.21  																																																			|
% 42.50/13.21  																																																			+-Applying beta-rule and splitting (377), into two cases.
% 42.50/13.21  																																																			|-Branch one:
% 42.50/13.21  																																																			| (482) all_0_87_87 = e1
% 42.50/13.21  																																																			|
% 42.50/13.21  																																																				| Equations (482) can reduce 221 to:
% 42.50/13.21  																																																				| (485)  ~ (all_0_97_97 = e1)
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				| Simplifying 485 yields:
% 42.50/13.21  																																																				| (486)  ~ (all_0_97_97 = e1)
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				| Equations (482) can reduce 349 to:
% 42.50/13.21  																																																				| (487)  ~ (e2 = e1)
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				| Simplifying 487 yields:
% 42.50/13.21  																																																				| (243)  ~ (e2 = e1)
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				| Equations (482) can reduce 889 to:
% 42.50/13.21  																																																				| (264)  ~ (e1 = e0)
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				+-Applying beta-rule and splitting (817), into two cases.
% 42.50/13.21  																																																				|-Branch one:
% 42.50/13.21  																																																				| (504) all_0_88_88 = e1
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																					| Combining equations (507,504) yields a new equation:
% 42.50/13.21  																																																					| (865) e1 = e0
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																					| Equations (865) can reduce 264 to:
% 42.50/13.21  																																																					| (311) $false
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																					|-The branch is then unsatisfiable
% 42.50/13.21  																																																				|-Branch two:
% 42.50/13.21  																																																				| (479)  ~ (all_0_88_88 = e1)
% 42.50/13.21  																																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																					+-Applying beta-rule and splitting (897), into two cases.
% 42.50/13.21  																																																					|-Branch one:
% 42.50/13.21  																																																					| (566) all_0_93_93 = e1
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						| From (566) and (1394) follows:
% 42.50/13.21  																																																						| (2475) op(e0, e1) = e1
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						| Instantiating formula (262) with e0, e1, e1, all_0_97_97 and discharging atoms op(e0, e1) = all_0_97_97, op(e0, e1) = e1, yields:
% 42.50/13.21  																																																						| (542) all_0_97_97 = e1
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						| Equations (542) can reduce 486 to:
% 42.50/13.21  																																																						| (311) $false
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						|-The branch is then unsatisfiable
% 42.50/13.21  																																																					|-Branch two:
% 42.50/13.21  																																																					| (481)  ~ (all_0_93_93 = e1)
% 42.50/13.21  																																																					| (1543) all_0_98_98 = e1
% 42.50/13.21  																																																					|
% 42.50/13.21  																																																						| Combining equations (1543,525) yields a new equation:
% 42.50/13.21  																																																						| (385) e2 = e1
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						| Equations (385) can reduce 243 to:
% 42.50/13.21  																																																						| (311) $false
% 42.50/13.21  																																																						|
% 42.50/13.21  																																																						|-The branch is then unsatisfiable
% 42.50/13.21  																																																			|-Branch two:
% 42.50/13.21  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.21  																																																			| (861) all_0_87_87 = e0
% 42.50/13.21  																																																			|
% 42.50/13.21  																																																				| Equations (861) can reduce 889 to:
% 42.50/13.21  																																																				| (311) $false
% 42.50/13.21  																																																				|
% 42.50/13.21  																																																				|-The branch is then unsatisfiable
% 42.50/13.21  																																				|-Branch two:
% 42.50/13.21  																																				| (914)  ~ (all_0_82_82 = e0)
% 42.50/13.21  																																				| (469) all_0_82_82 = e4
% 42.50/13.21  																																				|
% 42.50/13.21  																																					| Equations (469) can reduce 465 to:
% 42.50/13.21  																																					| (311) $false
% 42.50/13.21  																																					|
% 42.50/13.21  																																					|-The branch is then unsatisfiable
% 42.50/13.21  																																		|-Branch two:
% 42.50/13.21  																																		| (467)  ~ (all_0_90_90 = e4)
% 42.50/13.21  																																		| (894) all_0_95_95 = e4
% 42.50/13.21  																																		|
% 42.50/13.21  																																			| Equations (894) can reduce 315 to:
% 42.50/13.21  																																			| (311) $false
% 42.50/13.21  																																			|
% 42.50/13.21  																																			|-The branch is then unsatisfiable
% 42.50/13.21  																																	|-Branch two:
% 42.50/13.21  																																	| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.21  																																	| (493) all_0_85_85 = e4
% 42.50/13.21  																																	|
% 42.50/13.21  																																		| Equations (493) can reduce 648 to:
% 42.50/13.21  																																		| (311) $false
% 42.50/13.21  																																		|
% 42.50/13.21  																																		|-The branch is then unsatisfiable
% 42.50/13.21  																							|-Branch two:
% 42.50/13.21  																							| (394)  ~ (all_0_80_80 = e2)
% 42.50/13.21  																							| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 42.50/13.21  																							|
% 42.50/13.21  																								+-Applying beta-rule and splitting (192), into two cases.
% 42.50/13.21  																								|-Branch one:
% 42.50/13.21  																								| (546) all_0_80_80 = e2
% 42.50/13.21  																								|
% 42.50/13.21  																									| Equations (546) can reduce 394 to:
% 42.50/13.21  																									| (311) $false
% 42.50/13.21  																									|
% 42.50/13.21  																									|-The branch is then unsatisfiable
% 42.50/13.21  																								|-Branch two:
% 42.50/13.21  																								| (394)  ~ (all_0_80_80 = e2)
% 42.50/13.21  																								| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 42.50/13.21  																								|
% 42.50/13.21  																									+-Applying beta-rule and splitting (3232), into two cases.
% 42.50/13.21  																									|-Branch one:
% 42.50/13.21  																									| (824) all_0_80_80 = e1
% 42.50/13.21  																									|
% 42.50/13.21  																										| Equations (824) can reduce 828 to:
% 42.50/13.21  																										| (311) $false
% 42.50/13.21  																										|
% 42.50/13.21  																										|-The branch is then unsatisfiable
% 42.50/13.21  																									|-Branch two:
% 42.50/13.21  																									| (828)  ~ (all_0_80_80 = e1)
% 42.50/13.21  																									| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 42.50/13.21  																									|
% 42.50/13.21  																										+-Applying beta-rule and splitting (4018), into two cases.
% 42.50/13.21  																										|-Branch one:
% 42.50/13.21  																										| (416) all_0_80_80 = e3
% 42.50/13.21  																										|
% 42.50/13.21  																											| Equations (416) can reduce 2347 to:
% 42.50/13.21  																											| (311) $false
% 42.50/13.21  																											|
% 42.50/13.21  																											|-The branch is then unsatisfiable
% 42.50/13.21  																										|-Branch two:
% 42.50/13.21  																										| (2347)  ~ (all_0_80_80 = e3)
% 42.50/13.21  																										| (433) all_0_80_80 = e4
% 42.50/13.21  																										|
% 42.50/13.21  																											| Equations (433) can reduce 144 to:
% 42.50/13.21  																											| (1730)  ~ (all_0_81_81 = e4)
% 42.50/13.21  																											|
% 42.50/13.21  																											| Simplifying 1730 yields:
% 42.50/13.21  																											| (634)  ~ (all_0_81_81 = e4)
% 42.50/13.21  																											|
% 42.50/13.21  																											| Equations (433) can reduce 2347 to:
% 42.50/13.21  																											| (177)  ~ (e4 = e3)
% 42.50/13.21  																											|
% 42.50/13.21  																											| Equations (433) can reduce 166 to:
% 42.50/13.21  																											| (23)  ~ (e4 = e0)
% 42.50/13.21  																											|
% 42.50/13.21  																											| From (433) and (233) follows:
% 42.50/13.21  																											| (4027) op(e1, e4) = all_0_60_60
% 42.50/13.21  																											|
% 42.50/13.21  																											+-Applying beta-rule and splitting (123), into two cases.
% 42.50/13.21  																											|-Branch one:
% 42.50/13.21  																											| (473) all_0_81_81 = e2
% 42.50/13.21  																											|
% 42.50/13.21  																												| Equations (473) can reduce 118 to:
% 42.50/13.21  																												| (691)  ~ (all_0_85_85 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Simplifying 691 yields:
% 42.50/13.21  																												| (515)  ~ (all_0_85_85 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Equations (473) can reduce 266 to:
% 42.50/13.21  																												| (350)  ~ (all_0_88_88 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Simplifying 350 yields:
% 42.50/13.21  																												| (351)  ~ (all_0_88_88 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Equations (473) can reduce 277 to:
% 42.50/13.21  																												| (299)  ~ (all_0_93_93 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Simplifying 299 yields:
% 42.50/13.21  																												| (300)  ~ (all_0_93_93 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Equations (473) can reduce 5 to:
% 42.50/13.21  																												| (1348)  ~ (all_0_98_98 = e2)
% 42.50/13.21  																												|
% 42.50/13.21  																												| Simplifying 1348 yields:
% 42.50/13.22  																												| (1349)  ~ (all_0_98_98 = e2)
% 42.50/13.22  																												|
% 42.50/13.22  																												| Equations (473) can reduce 634 to:
% 42.50/13.22  																												| (528)  ~ (e4 = e2)
% 42.50/13.22  																												|
% 42.50/13.22  																												| Simplifying 528 yields:
% 42.50/13.22  																												| (79)  ~ (e4 = e2)
% 42.50/13.22  																												|
% 42.50/13.22  																												| Equations (473) can reduce 420 to:
% 42.50/13.22  																												| (356)  ~ (e3 = e2)
% 42.50/13.22  																												|
% 42.50/13.22  																												| Simplifying 356 yields:
% 42.50/13.22  																												| (169)  ~ (e3 = e2)
% 42.50/13.22  																												|
% 42.50/13.22  																												| Equations (473) can reduce 628 to:
% 42.50/13.22  																												| (243)  ~ (e2 = e1)
% 42.50/13.22  																												|
% 42.50/13.22  																												| From (473) and (111) follows:
% 42.50/13.22  																												| (4043) op(e2, e0) = all_0_7_7
% 42.50/13.22  																												|
% 42.50/13.22  																												+-Applying beta-rule and splitting (97), into two cases.
% 42.50/13.22  																												|-Branch one:
% 42.50/13.22  																												| (1757) all_0_94_94 = e2
% 42.50/13.22  																												|
% 42.50/13.22  																													| Combining equations (313,1757) yields a new equation:
% 42.50/13.22  																													| (309) e4 = e2
% 42.50/13.22  																													|
% 42.50/13.22  																													| Simplifying 309 yields:
% 42.50/13.22  																													| (310) e4 = e2
% 42.50/13.22  																													|
% 42.50/13.22  																													| Equations (310) can reduce 79 to:
% 42.50/13.22  																													| (311) $false
% 42.50/13.22  																													|
% 42.50/13.22  																													|-The branch is then unsatisfiable
% 42.50/13.22  																												|-Branch two:
% 42.50/13.22  																												| (1761)  ~ (all_0_94_94 = e2)
% 42.50/13.22  																												| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.50/13.22  																												|
% 42.50/13.22  																													+-Applying beta-rule and splitting (1762), into two cases.
% 42.50/13.22  																													|-Branch one:
% 42.50/13.22  																													| (767) all_0_95_95 = e2
% 42.50/13.22  																													|
% 42.50/13.22  																														| Equations (767) can reduce 355 to:
% 42.50/13.22  																														| (311) $false
% 42.50/13.22  																														|
% 42.50/13.22  																														|-The branch is then unsatisfiable
% 42.50/13.22  																													|-Branch two:
% 42.50/13.22  																													| (355)  ~ (all_0_95_95 = e2)
% 42.50/13.22  																													| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 42.50/13.22  																													|
% 42.50/13.22  																														+-Applying beta-rule and splitting (1772), into two cases.
% 42.50/13.22  																														|-Branch one:
% 42.50/13.22  																														| (1704) all_0_96_96 = e2
% 42.50/13.22  																														|
% 42.50/13.22  																															| Equations (1704) can reduce 1638 to:
% 42.50/13.22  																															| (311) $false
% 42.50/13.22  																															|
% 42.50/13.22  																															|-The branch is then unsatisfiable
% 42.50/13.22  																														|-Branch two:
% 42.50/13.22  																														| (1638)  ~ (all_0_96_96 = e2)
% 42.50/13.22  																														| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 42.50/13.22  																														|
% 42.50/13.22  																															+-Applying beta-rule and splitting (1783), into two cases.
% 42.50/13.22  																															|-Branch one:
% 42.50/13.22  																															| (538) all_0_97_97 = e2
% 42.50/13.22  																															|
% 42.50/13.22  																																| Equations (538) can reduce 195 to:
% 42.50/13.22  																																| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Equations (538) can reduce 221 to:
% 42.50/13.22  																																| (349)  ~ (all_0_87_87 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Equations (538) can reduce 258 to:
% 42.50/13.22  																																| (298)  ~ (all_0_92_92 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Equations (538) can reduce 105 to:
% 42.50/13.22  																																| (355)  ~ (all_0_95_95 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Equations (538) can reduce 22 to:
% 42.50/13.22  																																| (1638)  ~ (all_0_96_96 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Equations (538) can reduce 148 to:
% 42.50/13.22  																																| (1348)  ~ (all_0_98_98 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| Simplifying 1348 yields:
% 42.50/13.22  																																| (1349)  ~ (all_0_98_98 = e2)
% 42.50/13.22  																																|
% 42.50/13.22  																																| From (538) and (213) follows:
% 42.50/13.22  																																| (4069) op(e2, e0) = all_0_36_36
% 42.50/13.22  																																|
% 42.50/13.22  																																| From (538) and (252) follows:
% 42.50/13.22  																																| (4070) op(e1, e2) = all_0_67_67
% 42.50/13.22  																																|
% 42.50/13.22  																																| Instantiating formula (262) with e2, e0, all_0_7_7, all_0_88_88 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_88_88, yields:
% 42.50/13.22  																																| (4074) all_0_7_7 = all_0_88_88
% 42.50/13.22  																																|
% 42.50/13.22  																																| Instantiating formula (262) with e2, e0, all_0_36_36, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_36_36, yields:
% 42.50/13.22  																																| (4075) all_0_7_7 = all_0_36_36
% 42.50/13.22  																																|
% 42.50/13.22  																																| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 42.50/13.22  																																| (4076) all_0_60_60 = e2
% 42.50/13.22  																																|
% 42.50/13.22  																																| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 42.50/13.22  																																| (4077) all_0_67_67 = all_0_91_91
% 42.50/13.22  																																|
% 42.50/13.22  																																| Combining equations (4074,4075) yields a new equation:
% 42.50/13.22  																																| (4080) all_0_36_36 = all_0_88_88
% 42.50/13.22  																																|
% 42.50/13.22  																																| From (4080) and (4069) follows:
% 42.50/13.22  																																| (230) op(e2, e0) = all_0_88_88
% 42.50/13.22  																																|
% 42.50/13.22  																																+-Applying beta-rule and splitting (109), into two cases.
% 42.50/13.22  																																|-Branch one:
% 42.50/13.22  																																| (469) all_0_82_82 = e4
% 42.50/13.22  																																|
% 42.50/13.22  																																	| Equations (469) can reduce 7 to:
% 42.50/13.22  																																	| (662)  ~ (all_0_84_84 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Simplifying 662 yields:
% 42.50/13.22  																																	| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Equations (469) can reduce 209 to:
% 42.50/13.22  																																	| (647)  ~ (all_0_85_85 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Simplifying 647 yields:
% 42.50/13.22  																																	| (648)  ~ (all_0_85_85 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Equations (469) can reduce 200 to:
% 42.50/13.22  																																	| (314)  ~ (all_0_95_95 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Simplifying 314 yields:
% 42.50/13.22  																																	| (315)  ~ (all_0_95_95 = e4)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Equations (469) can reduce 793 to:
% 42.50/13.22  																																	| (177)  ~ (e4 = e3)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Equations (469) can reduce 347 to:
% 42.50/13.22  																																	| (79)  ~ (e4 = e2)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	| Equations (469) can reduce 198 to:
% 42.50/13.22  																																	| (256)  ~ (e4 = e1)
% 42.50/13.22  																																	|
% 42.50/13.22  																																	+-Applying beta-rule and splitting (168), into two cases.
% 42.50/13.22  																																	|-Branch one:
% 42.50/13.22  																																	| (638) all_0_81_81 = e4
% 42.50/13.22  																																	|
% 42.50/13.22  																																		| Combining equations (638,473) yields a new equation:
% 42.50/13.22  																																		| (309) e4 = e2
% 42.50/13.22  																																		|
% 42.50/13.22  																																		| Simplifying 309 yields:
% 42.50/13.22  																																		| (310) e4 = e2
% 42.50/13.22  																																		|
% 42.50/13.22  																																		| Equations (310) can reduce 79 to:
% 42.50/13.22  																																		| (311) $false
% 42.50/13.22  																																		|
% 42.50/13.22  																																		|-The branch is then unsatisfiable
% 42.50/13.22  																																	|-Branch two:
% 42.50/13.22  																																	| (634)  ~ (all_0_81_81 = e4)
% 42.50/13.22  																																	| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 42.50/13.22  																																	|
% 42.50/13.22  																																		+-Applying beta-rule and splitting (2559), into two cases.
% 42.50/13.22  																																		|-Branch one:
% 42.50/13.22  																																		| (493) all_0_85_85 = e4
% 42.50/13.22  																																		|
% 42.50/13.22  																																			| Equations (493) can reduce 648 to:
% 42.50/13.22  																																			| (311) $false
% 42.50/13.22  																																			|
% 42.50/13.22  																																			|-The branch is then unsatisfiable
% 42.50/13.22  																																		|-Branch two:
% 42.50/13.22  																																		| (648)  ~ (all_0_85_85 = e4)
% 42.50/13.22  																																		| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 42.50/13.22  																																		|
% 42.50/13.22  																																			+-Applying beta-rule and splitting (2576), into two cases.
% 42.50/13.22  																																			|-Branch one:
% 42.50/13.22  																																			| (607) all_0_93_93 = e4
% 42.50/13.22  																																			|
% 42.50/13.22  																																				| Equations (607) can reduce 201 to:
% 42.50/13.22  																																				| (648)  ~ (all_0_85_85 = e4)
% 42.50/13.22  																																				|
% 42.50/13.22  																																				| Equations (607) can reduce 34 to:
% 42.50/13.22  																																				| (467)  ~ (all_0_90_90 = e4)
% 42.50/13.22  																																				|
% 42.50/13.22  																																				| Equations (607) can reduce 13 to:
% 42.50/13.22  																																				| (320)  ~ (all_0_98_98 = e4)
% 42.50/13.22  																																				|
% 42.50/13.22  																																				| Simplifying 320 yields:
% 42.50/13.22  																																				| (321)  ~ (all_0_98_98 = e4)
% 42.50/13.22  																																				|
% 42.50/13.22  																																				+-Applying beta-rule and splitting (282), into two cases.
% 42.50/13.22  																																				|-Branch one:
% 42.50/13.22  																																				| (754) all_0_90_90 = e3
% 42.50/13.22  																																				|
% 42.50/13.22  																																					| Equations (754) can reduce 745 to:
% 42.50/13.22  																																					| (311) $false
% 42.50/13.22  																																					|
% 42.50/13.22  																																					|-The branch is then unsatisfiable
% 42.50/13.22  																																				|-Branch two:
% 42.50/13.22  																																				| (745)  ~ (all_0_90_90 = e3)
% 42.50/13.22  																																				| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.50/13.22  																																				|
% 42.50/13.22  																																					+-Applying beta-rule and splitting (171), into two cases.
% 42.50/13.22  																																					|-Branch one:
% 42.50/13.22  																																					| (789) all_0_82_82 = e3
% 42.50/13.22  																																					|
% 42.50/13.22  																																						| Combining equations (469,789) yields a new equation:
% 42.50/13.22  																																						| (790) e4 = e3
% 42.50/13.22  																																						|
% 42.50/13.22  																																						| Simplifying 790 yields:
% 42.50/13.22  																																						| (434) e4 = e3
% 42.50/13.22  																																						|
% 42.50/13.22  																																						| Equations (434) can reduce 177 to:
% 42.50/13.22  																																						| (311) $false
% 42.50/13.22  																																						|
% 42.50/13.22  																																						|-The branch is then unsatisfiable
% 42.50/13.22  																																					|-Branch two:
% 42.50/13.22  																																					| (793)  ~ (all_0_82_82 = e3)
% 42.50/13.22  																																					| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.50/13.22  																																					|
% 42.50/13.22  																																						| Equations (469) can reduce 793 to:
% 42.50/13.22  																																						| (177)  ~ (e4 = e3)
% 42.50/13.22  																																						|
% 42.50/13.22  																																						+-Applying beta-rule and splitting (254), into two cases.
% 42.50/13.22  																																						|-Branch one:
% 42.50/13.22  																																						| (910) all_0_82_82 = e0
% 42.50/13.22  																																						|
% 42.50/13.22  																																							| Combining equations (469,910) yields a new equation:
% 42.50/13.22  																																							| (911) e4 = e0
% 42.50/13.22  																																							|
% 42.50/13.22  																																							| Simplifying 911 yields:
% 42.50/13.22  																																							| (912) e4 = e0
% 42.50/13.22  																																							|
% 42.50/13.22  																																							| Equations (912) can reduce 23 to:
% 42.50/13.22  																																							| (311) $false
% 42.50/13.22  																																							|
% 42.50/13.22  																																							|-The branch is then unsatisfiable
% 42.50/13.22  																																						|-Branch two:
% 42.50/13.22  																																						| (914)  ~ (all_0_82_82 = e0)
% 42.50/13.22  																																						| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.50/13.22  																																						|
% 42.50/13.22  																																							+-Applying beta-rule and splitting (207), into two cases.
% 42.50/13.22  																																							|-Branch one:
% 42.50/13.22  																																							| (416) all_0_80_80 = e3
% 42.50/13.22  																																							|
% 42.50/13.22  																																								| Combining equations (433,416) yields a new equation:
% 42.50/13.22  																																								| (790) e4 = e3
% 42.50/13.22  																																								|
% 42.50/13.22  																																								| Simplifying 790 yields:
% 42.50/13.22  																																								| (434) e4 = e3
% 42.50/13.22  																																								|
% 42.50/13.22  																																								| Equations (434) can reduce 177 to:
% 42.50/13.22  																																								| (311) $false
% 42.50/13.22  																																								|
% 42.50/13.22  																																								|-The branch is then unsatisfiable
% 42.50/13.22  																																							|-Branch two:
% 42.50/13.22  																																							| (2347)  ~ (all_0_80_80 = e3)
% 42.50/13.22  																																							| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.50/13.22  																																							|
% 42.50/13.22  																																								| Equations (433) can reduce 2347 to:
% 42.50/13.22  																																								| (177)  ~ (e4 = e3)
% 42.50/13.22  																																								|
% 42.50/13.22  																																								+-Applying beta-rule and splitting (132), into two cases.
% 42.50/13.22  																																								|-Branch one:
% 42.50/13.22  																																								| (750) all_0_90_90 = e1
% 42.50/13.22  																																								|
% 42.50/13.22  																																									| Equations (750) can reduce 72 to:
% 42.50/13.22  																																									| (2131)  ~ (all_0_92_92 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Simplifying 2131 yields:
% 42.50/13.22  																																									| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Equations (750) can reduce 229 to:
% 42.50/13.22  																																									| (679)  ~ (all_0_95_95 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Simplifying 679 yields:
% 42.50/13.22  																																									| (680)  ~ (all_0_95_95 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Equations (750) can reduce 467 to:
% 42.50/13.22  																																									| (681)  ~ (e4 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Simplifying 681 yields:
% 42.50/13.22  																																									| (256)  ~ (e4 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Equations (750) can reduce 294 to:
% 42.50/13.22  																																									| (487)  ~ (e2 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									| Simplifying 487 yields:
% 42.50/13.22  																																									| (243)  ~ (e2 = e1)
% 42.50/13.22  																																									|
% 42.50/13.22  																																									+-Applying beta-rule and splitting (176), into two cases.
% 42.50/13.22  																																									|-Branch one:
% 42.50/13.22  																																									| (785) all_0_95_95 = e1
% 42.50/13.22  																																									|
% 42.50/13.22  																																										| Equations (785) can reduce 680 to:
% 42.50/13.22  																																										| (311) $false
% 42.50/13.22  																																										|
% 42.50/13.22  																																										|-The branch is then unsatisfiable
% 42.50/13.22  																																									|-Branch two:
% 42.50/13.22  																																									| (680)  ~ (all_0_95_95 = e1)
% 42.50/13.22  																																									| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.50/13.22  																																									|
% 42.50/13.22  																																										+-Applying beta-rule and splitting (151), into two cases.
% 42.50/13.22  																																										|-Branch one:
% 42.50/13.22  																																										| (824) all_0_80_80 = e1
% 42.50/13.22  																																										|
% 42.50/13.22  																																											| Combining equations (824,433) yields a new equation:
% 42.50/13.22  																																											| (814) e4 = e1
% 42.50/13.22  																																											|
% 42.50/13.22  																																											| Equations (814) can reduce 256 to:
% 42.50/13.22  																																											| (311) $false
% 42.50/13.22  																																											|
% 42.50/13.22  																																											|-The branch is then unsatisfiable
% 42.50/13.22  																																										|-Branch two:
% 42.50/13.22  																																										| (828)  ~ (all_0_80_80 = e1)
% 42.50/13.22  																																										| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.50/13.22  																																										|
% 42.50/13.22  																																											+-Applying beta-rule and splitting (788), into two cases.
% 42.50/13.22  																																											|-Branch one:
% 42.50/13.22  																																											| (960) all_0_96_96 = e1
% 42.50/13.22  																																											|
% 42.50/13.22  																																												| Equations (960) can reduce 1479 to:
% 42.50/13.22  																																												| (311) $false
% 42.50/13.22  																																												|
% 42.50/13.22  																																												|-The branch is then unsatisfiable
% 42.50/13.22  																																											|-Branch two:
% 42.50/13.22  																																											| (1479)  ~ (all_0_96_96 = e1)
% 42.50/13.22  																																											| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.50/13.22  																																											|
% 42.50/13.22  																																												+-Applying beta-rule and splitting (829), into two cases.
% 42.50/13.22  																																												|-Branch one:
% 42.50/13.22  																																												| (482) all_0_87_87 = e1
% 42.50/13.22  																																												|
% 42.50/13.22  																																													| Equations (482) can reduce 124 to:
% 42.50/13.22  																																													| (259)  ~ (all_0_84_84 = e1)
% 42.50/13.22  																																													|
% 42.50/13.22  																																													| Equations (482) can reduce 349 to:
% 42.50/13.22  																																													| (487)  ~ (e2 = e1)
% 42.50/13.22  																																													|
% 42.50/13.22  																																													| Simplifying 487 yields:
% 42.50/13.22  																																													| (243)  ~ (e2 = e1)
% 42.50/13.22  																																													|
% 42.50/13.22  																																													+-Applying beta-rule and splitting (2126), into two cases.
% 42.50/13.22  																																													|-Branch one:
% 42.50/13.22  																																													| (542) all_0_97_97 = e1
% 42.50/13.22  																																													|
% 42.50/13.22  																																														| Combining equations (538,542) yields a new equation:
% 42.50/13.22  																																														| (408) e2 = e1
% 42.50/13.22  																																														|
% 42.50/13.22  																																														| Simplifying 408 yields:
% 42.50/13.22  																																														| (385) e2 = e1
% 42.50/13.22  																																														|
% 42.50/13.22  																																														| Equations (385) can reduce 243 to:
% 42.50/13.22  																																														| (311) $false
% 42.50/13.22  																																														|
% 42.50/13.22  																																														|-The branch is then unsatisfiable
% 42.50/13.22  																																													|-Branch two:
% 42.50/13.22  																																													| (486)  ~ (all_0_97_97 = e1)
% 42.50/13.22  																																													| (1543) all_0_98_98 = e1
% 42.50/13.22  																																													|
% 42.50/13.22  																																														| Equations (1543) can reduce 75 to:
% 42.50/13.22  																																														| (128)  ~ (all_0_85_85 = e1)
% 42.50/13.22  																																														|
% 42.50/13.22  																																														| Equations (1543) can reduce 31 to:
% 42.50/13.22  																																														| (479)  ~ (all_0_88_88 = e1)
% 42.50/13.22  																																														|
% 42.50/13.22  																																														+-Applying beta-rule and splitting (270), into two cases.
% 42.50/13.22  																																														|-Branch one:
% 42.50/13.22  																																														| (744) all_0_95_95 = e3
% 42.50/13.22  																																														|
% 42.50/13.22  																																															| Equations (744) can reduce 765 to:
% 42.50/13.22  																																															| (311) $false
% 42.50/13.22  																																															|
% 42.50/13.22  																																															|-The branch is then unsatisfiable
% 42.50/13.22  																																														|-Branch two:
% 42.50/13.22  																																														| (765)  ~ (all_0_95_95 = e3)
% 42.50/13.22  																																														| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.50/13.22  																																														|
% 42.50/13.22  																																															+-Applying beta-rule and splitting (373), into two cases.
% 42.50/13.22  																																															|-Branch one:
% 42.50/13.22  																																															| (504) all_0_88_88 = e1
% 42.50/13.22  																																															|
% 42.50/13.22  																																																| Equations (504) can reduce 479 to:
% 42.50/13.22  																																																| (311) $false
% 42.50/13.22  																																																|
% 42.50/13.22  																																																|-The branch is then unsatisfiable
% 42.50/13.22  																																															|-Branch two:
% 42.50/13.22  																																															| (479)  ~ (all_0_88_88 = e1)
% 42.50/13.22  																																															| (507) all_0_88_88 = e0
% 42.50/13.22  																																															|
% 42.50/13.22  																																																| Equations (507) can reduce 78 to:
% 42.50/13.22  																																																| (800)  ~ (all_0_85_85 = e0)
% 42.50/13.22  																																																|
% 42.50/13.22  																																																| Equations (507) can reduce 351 to:
% 42.50/13.22  																																																| (510)  ~ (e2 = e0)
% 42.50/13.22  																																																|
% 42.50/13.22  																																																| Simplifying 510 yields:
% 42.50/13.22  																																																| (76)  ~ (e2 = e0)
% 42.50/13.22  																																																|
% 42.50/13.22  																																																+-Applying beta-rule and splitting (182), into two cases.
% 42.50/13.22  																																																|-Branch one:
% 42.50/13.22  																																																| (512) all_0_85_85 = e2
% 42.50/13.22  																																																|
% 42.50/13.22  																																																	| Equations (512) can reduce 515 to:
% 42.50/13.22  																																																	| (311) $false
% 42.50/13.22  																																																	|
% 42.50/13.22  																																																	|-The branch is then unsatisfiable
% 42.50/13.22  																																																|-Branch two:
% 42.50/13.22  																																																| (515)  ~ (all_0_85_85 = e2)
% 42.50/13.22  																																																| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.50/13.22  																																																|
% 42.50/13.22  																																																	+-Applying beta-rule and splitting (766), into two cases.
% 42.50/13.22  																																																	|-Branch one:
% 42.50/13.22  																																																	| (778) all_0_96_96 = e3
% 42.50/13.22  																																																	|
% 42.50/13.22  																																																		| Equations (778) can reduce 279 to:
% 42.50/13.22  																																																		| (765)  ~ (all_0_95_95 = e3)
% 42.50/13.22  																																																		|
% 42.50/13.22  																																																		| From (778) and (4960) follows:
% 42.50/13.22  																																																		| (5343) op(e2, e3) = e0
% 42.50/13.22  																																																		|
% 42.50/13.22  																																																		+-Applying beta-rule and splitting (725), into two cases.
% 42.50/13.22  																																																		|-Branch one:
% 42.50/13.22  																																																		| (804) all_0_85_85 = e3
% 42.50/13.22  																																																		|
% 42.50/13.22  																																																			| Equations (804) can reduce 154 to:
% 42.50/13.22  																																																			| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.22  																																																			|
% 42.50/13.22  																																																			+-Applying beta-rule and splitting (92), into two cases.
% 42.50/13.22  																																																			|-Branch one:
% 42.50/13.22  																																																			| (552) all_0_84_84 = e2
% 42.50/13.22  																																																			|
% 42.50/13.22  																																																				| Equations (552) can reduce 612 to:
% 42.50/13.22  																																																				| (311) $false
% 42.50/13.22  																																																				|
% 42.50/13.22  																																																				|-The branch is then unsatisfiable
% 42.50/13.22  																																																			|-Branch two:
% 42.50/13.22  																																																			| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.22  																																																			| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.50/13.22  																																																			|
% 42.50/13.22  																																																				+-Applying beta-rule and splitting (617), into two cases.
% 42.50/13.22  																																																				|-Branch one:
% 42.50/13.22  																																																				| (1265) all_0_84_84 = e3
% 42.50/13.22  																																																				|
% 42.50/13.22  																																																					| Equations (1265) can reduce 422 to:
% 42.50/13.22  																																																					| (311) $false
% 42.50/13.22  																																																					|
% 42.50/13.22  																																																					|-The branch is then unsatisfiable
% 42.50/13.22  																																																				|-Branch two:
% 42.50/13.22  																																																				| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.22  																																																				| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.50/13.22  																																																				|
% 42.50/13.22  																																																					+-Applying beta-rule and splitting (915), into two cases.
% 42.50/13.22  																																																					|-Branch one:
% 42.50/13.22  																																																					| (378) all_0_86_86 = e0
% 42.50/13.22  																																																					|
% 42.50/13.22  																																																						| Combining equations (345,378) yields a new equation:
% 42.50/13.22  																																																						| (923) e2 = e0
% 42.50/13.22  																																																						|
% 42.50/13.22  																																																						| Simplifying 923 yields:
% 42.50/13.22  																																																						| (379) e2 = e0
% 42.50/13.22  																																																						|
% 42.50/13.22  																																																						| Equations (379) can reduce 76 to:
% 42.50/13.22  																																																						| (311) $false
% 42.50/13.22  																																																						|
% 42.50/13.22  																																																						|-The branch is then unsatisfiable
% 42.50/13.22  																																																					|-Branch two:
% 42.50/13.22  																																																					| (381)  ~ (all_0_86_86 = e0)
% 42.50/13.22  																																																					| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.50/13.22  																																																					|
% 42.50/13.22  																																																						+-Applying beta-rule and splitting (1268), into two cases.
% 42.50/13.22  																																																						|-Branch one:
% 42.50/13.22  																																																						| (916) all_0_84_84 = e0
% 42.50/13.22  																																																						|
% 42.50/13.22  																																																							| Equations (916) can reduce 259 to:
% 42.50/13.23  																																																							| (859)  ~ (e1 = e0)
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							| Simplifying 859 yields:
% 42.50/13.23  																																																							| (264)  ~ (e1 = e0)
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							+-Applying beta-rule and splitting (291), into two cases.
% 42.50/13.23  																																																							|-Branch one:
% 42.50/13.23  																																																							| (758) all_0_90_90 = e0
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																								| Combining equations (750,758) yields a new equation:
% 42.50/13.23  																																																								| (1107) e1 = e0
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																								| Simplifying 1107 yields:
% 42.50/13.23  																																																								| (865) e1 = e0
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																								| Equations (865) can reduce 264 to:
% 42.50/13.23  																																																								| (311) $false
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																								|-The branch is then unsatisfiable
% 42.50/13.23  																																																							|-Branch two:
% 42.50/13.23  																																																							| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.23  																																																							| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																								| Equations (750) can reduce 762 to:
% 42.50/13.23  																																																								| (264)  ~ (e1 = e0)
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																								+-Applying beta-rule and splitting (927), into two cases.
% 42.50/13.23  																																																								|-Branch one:
% 42.50/13.23  																																																								| (758) all_0_90_90 = e0
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																									| Combining equations (750,758) yields a new equation:
% 42.50/13.23  																																																									| (1107) e1 = e0
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																									| Simplifying 1107 yields:
% 42.50/13.23  																																																									| (865) e1 = e0
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																									| Equations (865) can reduce 264 to:
% 42.50/13.23  																																																									| (311) $false
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																									|-The branch is then unsatisfiable
% 42.50/13.23  																																																								|-Branch two:
% 42.50/13.23  																																																								| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.23  																																																								| (858) all_0_95_95 = e0
% 42.50/13.23  																																																								|
% 42.50/13.23  																																																									| Equations (858) can reduce 765 to:
% 42.50/13.23  																																																									| (906)  ~ (e3 = e0)
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																									| Simplifying 906 yields:
% 42.50/13.23  																																																									| (50)  ~ (e3 = e0)
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																									+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.23  																																																									|-Branch one:
% 42.50/13.23  																																																									| (1456) all_0_91_91 = e0
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																										| Equations (1456) can reduce 296 to:
% 42.50/13.23  																																																										| (510)  ~ (e2 = e0)
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										| Simplifying 510 yields:
% 42.50/13.23  																																																										| (76)  ~ (e2 = e0)
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.50/13.23  																																																										| (379) e2 = e0
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										| Equations (379) can reduce 76 to:
% 42.50/13.23  																																																										| (311) $false
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										|-The branch is then unsatisfiable
% 42.50/13.23  																																																									|-Branch two:
% 42.50/13.23  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.23  																																																									| (1837) all_0_96_96 = e0
% 42.50/13.23  																																																									|
% 42.50/13.23  																																																										| Combining equations (778,1837) yields a new equation:
% 42.50/13.23  																																																										| (599) e3 = e0
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										| Simplifying 599 yields:
% 42.50/13.23  																																																										| (600) e3 = e0
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										| Equations (600) can reduce 50 to:
% 42.50/13.23  																																																										| (311) $false
% 42.50/13.23  																																																										|
% 42.50/13.23  																																																										|-The branch is then unsatisfiable
% 42.50/13.23  																																																						|-Branch two:
% 42.50/13.23  																																																						| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.23  																																																						| (438) all_0_84_84 = e4
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																							| Equations (438) can reduce 417 to:
% 42.50/13.23  																																																							| (311) $false
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							|-The branch is then unsatisfiable
% 42.50/13.23  																																																		|-Branch two:
% 42.50/13.23  																																																		| (952)  ~ (all_0_85_85 = e3)
% 42.50/13.23  																																																		| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																			+-Applying beta-rule and splitting (953), into two cases.
% 42.50/13.23  																																																			|-Branch one:
% 42.50/13.23  																																																			| (954) all_0_85_85 = e0
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Equations (954) can reduce 800 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																																			|-Branch two:
% 42.50/13.23  																																																			| (800)  ~ (all_0_85_85 = e0)
% 42.50/13.23  																																																			| (493) all_0_85_85 = e4
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Equations (493) can reduce 648 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																																	|-Branch two:
% 42.50/13.23  																																																	| (964)  ~ (all_0_96_96 = e3)
% 42.50/13.23  																																																	| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																		+-Applying beta-rule and splitting (725), into two cases.
% 42.50/13.23  																																																		|-Branch one:
% 42.50/13.23  																																																		| (804) all_0_85_85 = e3
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																			| Equations (804) can reduce 515 to:
% 42.50/13.23  																																																			| (169)  ~ (e3 = e2)
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																			| Equations (804) can reduce 128 to:
% 42.50/13.23  																																																			| (20)  ~ (e3 = e1)
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																			+-Applying beta-rule and splitting (965), into two cases.
% 42.50/13.23  																																																			|-Branch one:
% 42.50/13.23  																																																			| (556) all_0_97_97 = e3
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Combining equations (538,556) yields a new equation:
% 42.50/13.23  																																																				| (548) e3 = e2
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Equations (548) can reduce 169 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																																			|-Branch two:
% 42.50/13.23  																																																			| (428)  ~ (all_0_97_97 = e3)
% 42.50/13.23  																																																			| (969) all_0_98_98 = e3
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Combining equations (969,1543) yields a new equation:
% 42.50/13.23  																																																				| (825) e3 = e1
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Simplifying 825 yields:
% 42.50/13.23  																																																				| (772) e3 = e1
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Equations (772) can reduce 20 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																																		|-Branch two:
% 42.50/13.23  																																																		| (952)  ~ (all_0_85_85 = e3)
% 42.50/13.23  																																																		| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																			+-Applying beta-rule and splitting (953), into two cases.
% 42.50/13.23  																																																			|-Branch one:
% 42.50/13.23  																																																			| (954) all_0_85_85 = e0
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Equations (954) can reduce 800 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																																			|-Branch two:
% 42.50/13.23  																																																			| (800)  ~ (all_0_85_85 = e0)
% 42.50/13.23  																																																			| (493) all_0_85_85 = e4
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Equations (493) can reduce 648 to:
% 42.50/13.23  																																																				| (311) $false
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				|-The branch is then unsatisfiable
% 42.50/13.23  																																												|-Branch two:
% 42.50/13.23  																																												| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.23  																																												| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.50/13.23  																																												|
% 42.50/13.23  																																													+-Applying beta-rule and splitting (2126), into two cases.
% 42.50/13.23  																																													|-Branch one:
% 42.50/13.23  																																													| (542) all_0_97_97 = e1
% 42.50/13.23  																																													|
% 42.50/13.23  																																														| Combining equations (538,542) yields a new equation:
% 42.50/13.23  																																														| (408) e2 = e1
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Simplifying 408 yields:
% 42.50/13.23  																																														| (385) e2 = e1
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Equations (385) can reduce 243 to:
% 42.50/13.23  																																														| (311) $false
% 42.50/13.23  																																														|
% 42.50/13.23  																																														|-The branch is then unsatisfiable
% 42.50/13.23  																																													|-Branch two:
% 42.50/13.23  																																													| (486)  ~ (all_0_97_97 = e1)
% 42.50/13.23  																																													| (1543) all_0_98_98 = e1
% 42.50/13.23  																																													|
% 42.50/13.23  																																														| Equations (1543) can reduce 1349 to:
% 42.50/13.23  																																														| (487)  ~ (e2 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Simplifying 487 yields:
% 42.50/13.23  																																														| (243)  ~ (e2 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														+-Applying beta-rule and splitting (835), into two cases.
% 42.50/13.23  																																														|-Branch one:
% 42.50/13.23  																																														| (836) all_0_92_92 = e1
% 42.50/13.23  																																														|
% 42.50/13.23  																																															| Equations (836) can reduce 840 to:
% 42.50/13.23  																																															| (311) $false
% 42.50/13.23  																																															|
% 42.50/13.23  																																															|-The branch is then unsatisfiable
% 42.50/13.23  																																														|-Branch two:
% 42.50/13.23  																																														| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.23  																																														| (542) all_0_97_97 = e1
% 42.50/13.23  																																														|
% 42.50/13.23  																																															| Combining equations (542,538) yields a new equation:
% 42.50/13.23  																																															| (385) e2 = e1
% 42.50/13.23  																																															|
% 42.50/13.23  																																															| Equations (385) can reduce 243 to:
% 42.50/13.23  																																															| (311) $false
% 42.50/13.23  																																															|
% 42.50/13.23  																																															|-The branch is then unsatisfiable
% 42.50/13.23  																																								|-Branch two:
% 42.50/13.23  																																								| (678)  ~ (all_0_90_90 = e1)
% 42.50/13.23  																																								| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.50/13.23  																																								|
% 42.50/13.23  																																									+-Applying beta-rule and splitting (27), into two cases.
% 42.50/13.23  																																									|-Branch one:
% 42.50/13.23  																																									| (746) all_0_90_90 = e2
% 42.50/13.23  																																									|
% 42.50/13.23  																																										| Equations (746) can reduce 294 to:
% 42.50/13.23  																																										| (311) $false
% 42.50/13.23  																																										|
% 42.50/13.23  																																										|-The branch is then unsatisfiable
% 42.50/13.23  																																									|-Branch two:
% 42.50/13.23  																																									| (294)  ~ (all_0_90_90 = e2)
% 42.50/13.23  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 42.50/13.23  																																									|
% 42.50/13.23  																																										+-Applying beta-rule and splitting (749), into two cases.
% 42.50/13.23  																																										|-Branch one:
% 42.50/13.23  																																										| (750) all_0_90_90 = e1
% 42.50/13.23  																																										|
% 42.50/13.23  																																											| Equations (750) can reduce 678 to:
% 42.50/13.23  																																											| (311) $false
% 42.50/13.23  																																											|
% 42.50/13.23  																																											|-The branch is then unsatisfiable
% 42.50/13.23  																																										|-Branch two:
% 42.50/13.23  																																										| (678)  ~ (all_0_90_90 = e1)
% 42.50/13.23  																																										| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 42.50/13.23  																																										|
% 42.50/13.23  																																											+-Applying beta-rule and splitting (1526), into two cases.
% 42.50/13.23  																																											|-Branch one:
% 42.50/13.23  																																											| (801) all_0_91_91 = e1
% 42.50/13.23  																																											|
% 42.50/13.23  																																												| Equations (801) can reduce 959 to:
% 42.50/13.23  																																												| (311) $false
% 42.50/13.23  																																												|
% 42.50/13.23  																																												|-The branch is then unsatisfiable
% 42.50/13.23  																																											|-Branch two:
% 42.50/13.23  																																											| (959)  ~ (all_0_91_91 = e1)
% 42.50/13.23  																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.50/13.23  																																											|
% 42.50/13.23  																																												+-Applying beta-rule and splitting (1556), into two cases.
% 42.50/13.23  																																												|-Branch one:
% 42.50/13.23  																																												| (836) all_0_92_92 = e1
% 42.50/13.23  																																												|
% 42.50/13.23  																																													| Equations (836) can reduce 94 to:
% 42.50/13.23  																																													| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.23  																																													|
% 42.50/13.23  																																													+-Applying beta-rule and splitting (388), into two cases.
% 42.50/13.23  																																													|-Branch one:
% 42.50/13.23  																																													| (482) all_0_87_87 = e1
% 42.50/13.23  																																													|
% 42.50/13.23  																																														| Equations (482) can reduce 625 to:
% 42.50/13.23  																																														| (311) $false
% 42.50/13.23  																																														|
% 42.50/13.23  																																														|-The branch is then unsatisfiable
% 42.50/13.23  																																													|-Branch two:
% 42.50/13.23  																																													| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.23  																																													| (504) all_0_88_88 = e1
% 42.50/13.23  																																													|
% 42.50/13.23  																																														| Equations (504) can reduce 78 to:
% 42.50/13.23  																																														| (128)  ~ (all_0_85_85 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Equations (504) can reduce 181 to:
% 42.50/13.23  																																														| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Equations (504) can reduce 191 to:
% 42.50/13.23  																																														| (683)  ~ (e3 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| Simplifying 683 yields:
% 42.50/13.23  																																														| (20)  ~ (e3 = e1)
% 42.50/13.23  																																														|
% 42.50/13.23  																																														| From (504) and (230) follows:
% 42.50/13.23  																																														| (2305) op(e2, e0) = e1
% 42.50/13.23  																																														|
% 42.50/13.23  																																														+-Applying beta-rule and splitting (849), into two cases.
% 42.50/13.23  																																														|-Branch one:
% 42.50/13.23  																																														| (588) all_0_91_91 = e3
% 42.50/13.23  																																														|
% 42.50/13.23  																																															| Equations (588) can reduce 103 to:
% 42.50/13.23  																																															| (745)  ~ (all_0_90_90 = e3)
% 42.50/13.23  																																															|
% 42.50/13.23  																																															+-Applying beta-rule and splitting (176), into two cases.
% 42.50/13.23  																																															|-Branch one:
% 42.50/13.23  																																															| (785) all_0_95_95 = e1
% 42.50/13.23  																																															|
% 42.50/13.23  																																																| Equations (785) can reduce 229 to:
% 42.50/13.23  																																																| (678)  ~ (all_0_90_90 = e1)
% 42.50/13.23  																																																|
% 42.50/13.23  																																																| Equations (785) can reduce 107 to:
% 42.50/13.23  																																																| (1803)  ~ (all_0_98_98 = e1)
% 42.50/13.23  																																																|
% 42.50/13.23  																																																| Simplifying 1803 yields:
% 42.50/13.23  																																																| (1804)  ~ (all_0_98_98 = e1)
% 42.50/13.23  																																																|
% 42.50/13.23  																																																+-Applying beta-rule and splitting (377), into two cases.
% 42.50/13.23  																																																|-Branch one:
% 42.50/13.23  																																																| (482) all_0_87_87 = e1
% 42.50/13.23  																																																|
% 42.50/13.23  																																																	| Equations (482) can reduce 625 to:
% 42.50/13.23  																																																	| (311) $false
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																	|-The branch is then unsatisfiable
% 42.50/13.23  																																																|-Branch two:
% 42.50/13.23  																																																| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.23  																																																| (861) all_0_87_87 = e0
% 42.50/13.23  																																																|
% 42.50/13.23  																																																	| Equations (861) can reduce 227 to:
% 42.50/13.23  																																																	| (906)  ~ (e3 = e0)
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																	| Simplifying 906 yields:
% 42.50/13.23  																																																	| (50)  ~ (e3 = e0)
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																	| From (861) and (83) follows:
% 42.50/13.23  																																																	| (6142) op(e2, e0) = all_0_65_65
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																	+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.23  																																																	|-Branch one:
% 42.50/13.23  																																																	| (1456) all_0_91_91 = e0
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																		| Combining equations (588,1456) yields a new equation:
% 42.50/13.23  																																																		| (599) e3 = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		| Simplifying 599 yields:
% 42.50/13.23  																																																		| (600) e3 = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		| Equations (600) can reduce 50 to:
% 42.50/13.23  																																																		| (311) $false
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		|-The branch is then unsatisfiable
% 42.50/13.23  																																																	|-Branch two:
% 42.50/13.23  																																																	| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.23  																																																	| (1837) all_0_96_96 = e0
% 42.50/13.23  																																																	|
% 42.50/13.23  																																																		| Equations (1837) can reduce 43 to:
% 42.50/13.23  																																																		| (2058)  ~ (all_0_98_98 = e0)
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		| Simplifying 2058 yields:
% 42.50/13.23  																																																		| (2059)  ~ (all_0_98_98 = e0)
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		| From (1837) and (4960) follows:
% 42.50/13.23  																																																		| (2170) op(e2, e0) = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																		+-Applying beta-rule and splitting (48), into two cases.
% 42.50/13.23  																																																		|-Branch one:
% 42.50/13.23  																																																		| (525) all_0_98_98 = e2
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																			| Equations (525) can reduce 1349 to:
% 42.50/13.23  																																																			| (311) $false
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																			|-The branch is then unsatisfiable
% 42.50/13.23  																																																		|-Branch two:
% 42.50/13.23  																																																		| (1349)  ~ (all_0_98_98 = e2)
% 42.50/13.23  																																																		| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 42.50/13.23  																																																		|
% 42.50/13.23  																																																			+-Applying beta-rule and splitting (289), into two cases.
% 42.50/13.23  																																																			|-Branch one:
% 42.50/13.23  																																																			| (954) all_0_85_85 = e0
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				| Equations (954) can reduce 515 to:
% 42.50/13.23  																																																				| (510)  ~ (e2 = e0)
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Simplifying 510 yields:
% 42.50/13.23  																																																				| (76)  ~ (e2 = e0)
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Equations (954) can reduce 128 to:
% 42.50/13.23  																																																				| (859)  ~ (e1 = e0)
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				| Simplifying 859 yields:
% 42.50/13.23  																																																				| (264)  ~ (e1 = e0)
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																				+-Applying beta-rule and splitting (291), into two cases.
% 42.50/13.23  																																																				|-Branch one:
% 42.50/13.23  																																																				| (758) all_0_90_90 = e0
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																					| Equations (758) can reduce 678 to:
% 42.50/13.23  																																																					| (859)  ~ (e1 = e0)
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Simplifying 859 yields:
% 42.50/13.23  																																																					| (264)  ~ (e1 = e0)
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Instantiating formula (262) with e2, e0, e1, all_0_65_65 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e1, yields:
% 42.50/13.23  																																																					| (6145) all_0_65_65 = e1
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Instantiating formula (262) with e2, e0, e0, all_0_65_65 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e0, yields:
% 42.50/13.23  																																																					| (6146) all_0_65_65 = e0
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Combining equations (6145,6146) yields a new equation:
% 42.50/13.23  																																																					| (1107) e1 = e0
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Simplifying 1107 yields:
% 42.50/13.23  																																																					| (865) e1 = e0
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Equations (865) can reduce 264 to:
% 42.50/13.23  																																																					| (311) $false
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					|-The branch is then unsatisfiable
% 42.50/13.23  																																																				|-Branch two:
% 42.50/13.23  																																																				| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.23  																																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																					+-Applying beta-rule and splitting (915), into two cases.
% 42.50/13.23  																																																					|-Branch one:
% 42.50/13.23  																																																					| (378) all_0_86_86 = e0
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																						| Combining equations (345,378) yields a new equation:
% 42.50/13.23  																																																						| (923) e2 = e0
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																						| Simplifying 923 yields:
% 42.50/13.23  																																																						| (379) e2 = e0
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																						| Equations (379) can reduce 76 to:
% 42.50/13.23  																																																						| (311) $false
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																						|-The branch is then unsatisfiable
% 42.50/13.23  																																																					|-Branch two:
% 42.50/13.23  																																																					| (381)  ~ (all_0_86_86 = e0)
% 42.50/13.23  																																																					| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																						+-Applying beta-rule and splitting (927), into two cases.
% 42.50/13.23  																																																						|-Branch one:
% 42.50/13.23  																																																						| (758) all_0_90_90 = e0
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																							| Equations (758) can reduce 762 to:
% 42.50/13.23  																																																							| (311) $false
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							|-The branch is then unsatisfiable
% 42.50/13.23  																																																						|-Branch two:
% 42.50/13.23  																																																						| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.23  																																																						| (858) all_0_95_95 = e0
% 42.50/13.23  																																																						|
% 42.50/13.23  																																																							| Combining equations (858,785) yields a new equation:
% 42.50/13.23  																																																							| (865) e1 = e0
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							| Equations (865) can reduce 264 to:
% 42.50/13.23  																																																							| (311) $false
% 42.50/13.23  																																																							|
% 42.50/13.23  																																																							|-The branch is then unsatisfiable
% 42.50/13.23  																																																			|-Branch two:
% 42.50/13.23  																																																			| (800)  ~ (all_0_85_85 = e0)
% 42.50/13.23  																																																			| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.50/13.23  																																																			|
% 42.50/13.23  																																																				+-Applying beta-rule and splitting (291), into two cases.
% 42.50/13.23  																																																				|-Branch one:
% 42.50/13.23  																																																				| (758) all_0_90_90 = e0
% 42.50/13.23  																																																				|
% 42.50/13.23  																																																					| Equations (758) can reduce 467 to:
% 42.50/13.23  																																																					| (904)  ~ (e4 = e0)
% 42.50/13.23  																																																					|
% 42.50/13.23  																																																					| Simplifying 904 yields:
% 42.50/13.23  																																																					| (23)  ~ (e4 = e0)
% 42.50/13.23  																																																					|
% 42.50/13.24  																																																					| Equations (758) can reduce 678 to:
% 42.50/13.24  																																																					| (859)  ~ (e1 = e0)
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																					| Simplifying 859 yields:
% 42.50/13.24  																																																					| (264)  ~ (e1 = e0)
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																					+-Applying beta-rule and splitting (5118), into two cases.
% 42.50/13.24  																																																					|-Branch one:
% 42.50/13.24  																																																					| (1543) all_0_98_98 = e1
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						| Equations (1543) can reduce 1804 to:
% 42.50/13.24  																																																						| (311) $false
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																						|-The branch is then unsatisfiable
% 42.50/13.24  																																																					|-Branch two:
% 42.50/13.24  																																																					| (1804)  ~ (all_0_98_98 = e1)
% 42.50/13.24  																																																					| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						+-Applying beta-rule and splitting (1077), into two cases.
% 42.50/13.24  																																																						|-Branch one:
% 42.50/13.24  																																																						| (507) all_0_88_88 = e0
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																							| Combining equations (504,507) yields a new equation:
% 42.50/13.24  																																																							| (1107) e1 = e0
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																							| Simplifying 1107 yields:
% 42.50/13.24  																																																							| (865) e1 = e0
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																							| Equations (865) can reduce 264 to:
% 42.50/13.24  																																																							| (311) $false
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																							|-The branch is then unsatisfiable
% 42.50/13.24  																																																						|-Branch two:
% 42.50/13.24  																																																						| (1110)  ~ (all_0_88_88 = e0)
% 42.50/13.24  																																																						| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																							+-Applying beta-rule and splitting (5122), into two cases.
% 42.50/13.24  																																																							|-Branch one:
% 42.50/13.24  																																																							| (969) all_0_98_98 = e3
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																								| Equations (969) can reduce 2059 to:
% 42.50/13.24  																																																								| (50)  ~ (e3 = e0)
% 42.50/13.24  																																																								|
% 42.50/13.24  																																																								+-Applying beta-rule and splitting (1111), into two cases.
% 42.50/13.24  																																																								|-Branch one:
% 42.50/13.24  																																																								| (604) all_0_93_93 = e0
% 42.50/13.24  																																																								|
% 42.50/13.24  																																																									| Combining equations (607,604) yields a new equation:
% 42.50/13.24  																																																									| (911) e4 = e0
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									| Simplifying 911 yields:
% 42.50/13.24  																																																									| (912) e4 = e0
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									| Equations (912) can reduce 23 to:
% 42.50/13.24  																																																									| (311) $false
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									|-The branch is then unsatisfiable
% 42.50/13.24  																																																								|-Branch two:
% 42.50/13.24  																																																								| (509)  ~ (all_0_93_93 = e0)
% 42.50/13.24  																																																								| (1121) all_0_98_98 = e0
% 42.50/13.24  																																																								|
% 42.50/13.24  																																																									| Combining equations (1121,969) yields a new equation:
% 42.50/13.24  																																																									| (600) e3 = e0
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									| Equations (600) can reduce 50 to:
% 42.50/13.24  																																																									| (311) $false
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									|-The branch is then unsatisfiable
% 42.50/13.24  																																																							|-Branch two:
% 42.50/13.24  																																																							| (1519)  ~ (all_0_98_98 = e3)
% 42.50/13.24  																																																							| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																								+-Applying beta-rule and splitting (5284), into two cases.
% 42.50/13.24  																																																								|-Branch one:
% 42.50/13.24  																																																								| (1121) all_0_98_98 = e0
% 42.50/13.24  																																																								|
% 42.50/13.24  																																																									| Equations (1121) can reduce 2059 to:
% 42.50/13.24  																																																									| (311) $false
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									|-The branch is then unsatisfiable
% 42.50/13.24  																																																								|-Branch two:
% 42.50/13.24  																																																								| (2059)  ~ (all_0_98_98 = e0)
% 42.50/13.24  																																																								| (2650) all_0_98_98 = e4
% 42.50/13.24  																																																								|
% 42.50/13.24  																																																									| Equations (2650) can reduce 321 to:
% 42.50/13.24  																																																									| (311) $false
% 42.50/13.24  																																																									|
% 42.50/13.24  																																																									|-The branch is then unsatisfiable
% 42.50/13.24  																																																				|-Branch two:
% 42.50/13.24  																																																				| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.24  																																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																					+-Applying beta-rule and splitting (753), into two cases.
% 42.50/13.24  																																																					|-Branch one:
% 42.50/13.24  																																																					| (754) all_0_90_90 = e3
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						| Equations (754) can reduce 745 to:
% 42.50/13.24  																																																						| (311) $false
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																						|-The branch is then unsatisfiable
% 42.50/13.24  																																																					|-Branch two:
% 42.50/13.24  																																																					| (745)  ~ (all_0_90_90 = e3)
% 42.50/13.24  																																																					| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						+-Applying beta-rule and splitting (757), into two cases.
% 42.50/13.24  																																																						|-Branch one:
% 42.50/13.24  																																																						| (758) all_0_90_90 = e0
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																							| Equations (758) can reduce 762 to:
% 42.50/13.24  																																																							| (311) $false
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																							|-The branch is then unsatisfiable
% 42.50/13.24  																																																						|-Branch two:
% 42.50/13.24  																																																						| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.24  																																																						| (583) all_0_90_90 = e4
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																							| Equations (583) can reduce 467 to:
% 42.50/13.24  																																																							| (311) $false
% 42.50/13.24  																																																							|
% 42.50/13.24  																																																							|-The branch is then unsatisfiable
% 42.50/13.24  																																															|-Branch two:
% 42.50/13.24  																																															| (680)  ~ (all_0_95_95 = e1)
% 42.50/13.24  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.50/13.24  																																															|
% 42.50/13.24  																																																+-Applying beta-rule and splitting (270), into two cases.
% 42.50/13.24  																																																|-Branch one:
% 42.50/13.24  																																																| (744) all_0_95_95 = e3
% 42.50/13.24  																																																|
% 42.50/13.24  																																																	| Equations (744) can reduce 765 to:
% 42.50/13.24  																																																	| (311) $false
% 42.50/13.24  																																																	|
% 42.50/13.24  																																																	|-The branch is then unsatisfiable
% 42.50/13.24  																																																|-Branch two:
% 42.50/13.24  																																																| (765)  ~ (all_0_95_95 = e3)
% 42.50/13.24  																																																| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.50/13.24  																																																|
% 42.50/13.24  																																																	+-Applying beta-rule and splitting (291), into two cases.
% 42.50/13.24  																																																	|-Branch one:
% 42.50/13.24  																																																	| (758) all_0_90_90 = e0
% 42.50/13.24  																																																	|
% 42.50/13.24  																																																		| Equations (758) can reduce 229 to:
% 42.50/13.24  																																																		| (2712)  ~ (all_0_95_95 = e0)
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																		| Simplifying 2712 yields:
% 42.50/13.24  																																																		| (893)  ~ (all_0_95_95 = e0)
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																		+-Applying beta-rule and splitting (99), into two cases.
% 42.50/13.24  																																																		|-Branch one:
% 42.50/13.24  																																																		| (767) all_0_95_95 = e2
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																			| Equations (767) can reduce 355 to:
% 42.50/13.24  																																																			| (311) $false
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			|-The branch is then unsatisfiable
% 42.50/13.24  																																																		|-Branch two:
% 42.50/13.24  																																																		| (355)  ~ (all_0_95_95 = e2)
% 42.50/13.24  																																																		| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																			+-Applying beta-rule and splitting (770), into two cases.
% 42.50/13.24  																																																			|-Branch one:
% 42.50/13.24  																																																			| (785) all_0_95_95 = e1
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																				| Equations (785) can reduce 680 to:
% 42.50/13.24  																																																				| (311) $false
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																				|-The branch is then unsatisfiable
% 42.50/13.24  																																																			|-Branch two:
% 42.50/13.24  																																																			| (680)  ~ (all_0_95_95 = e1)
% 42.50/13.24  																																																			| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																				+-Applying beta-rule and splitting (853), into two cases.
% 42.50/13.24  																																																				|-Branch one:
% 42.50/13.24  																																																				| (744) all_0_95_95 = e3
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																					| Equations (744) can reduce 765 to:
% 42.50/13.24  																																																					| (311) $false
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																					|-The branch is then unsatisfiable
% 42.50/13.24  																																																				|-Branch two:
% 42.50/13.24  																																																				| (765)  ~ (all_0_95_95 = e3)
% 42.50/13.24  																																																				| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																					+-Applying beta-rule and splitting (857), into two cases.
% 42.50/13.24  																																																					|-Branch one:
% 42.50/13.24  																																																					| (858) all_0_95_95 = e0
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						| Equations (858) can reduce 893 to:
% 42.50/13.24  																																																						| (311) $false
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																						|-The branch is then unsatisfiable
% 42.50/13.24  																																																					|-Branch two:
% 42.50/13.24  																																																					| (893)  ~ (all_0_95_95 = e0)
% 42.50/13.24  																																																					| (894) all_0_95_95 = e4
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																						| Equations (894) can reduce 315 to:
% 42.50/13.24  																																																						| (311) $false
% 42.50/13.24  																																																						|
% 42.50/13.24  																																																						|-The branch is then unsatisfiable
% 42.50/13.24  																																																	|-Branch two:
% 42.50/13.24  																																																	| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.24  																																																	| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.24  																																																	|
% 42.50/13.24  																																																		+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.24  																																																		|-Branch one:
% 42.50/13.24  																																																		| (1456) all_0_91_91 = e0
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																			| Combining equations (588,1456) yields a new equation:
% 42.50/13.24  																																																			| (599) e3 = e0
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			| Simplifying 599 yields:
% 42.50/13.24  																																																			| (600) e3 = e0
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			| Equations (600) can reduce 50 to:
% 42.50/13.24  																																																			| (311) $false
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			|-The branch is then unsatisfiable
% 42.50/13.24  																																																		|-Branch two:
% 42.50/13.24  																																																		| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.24  																																																		| (1837) all_0_96_96 = e0
% 42.50/13.24  																																																		|
% 42.50/13.24  																																																			| Equations (1837) can reduce 279 to:
% 42.50/13.24  																																																			| (893)  ~ (all_0_95_95 = e0)
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			| Equations (1837) can reduce 1638 to:
% 42.50/13.24  																																																			| (510)  ~ (e2 = e0)
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			| Simplifying 510 yields:
% 42.50/13.24  																																																			| (76)  ~ (e2 = e0)
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																			+-Applying beta-rule and splitting (915), into two cases.
% 42.50/13.24  																																																			|-Branch one:
% 42.50/13.24  																																																			| (378) all_0_86_86 = e0
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																				| Combining equations (345,378) yields a new equation:
% 42.50/13.24  																																																				| (923) e2 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																				| Simplifying 923 yields:
% 42.50/13.24  																																																				| (379) e2 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																				| Equations (379) can reduce 76 to:
% 42.50/13.24  																																																				| (311) $false
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																				|-The branch is then unsatisfiable
% 42.50/13.24  																																																			|-Branch two:
% 42.50/13.24  																																																			| (381)  ~ (all_0_86_86 = e0)
% 42.50/13.24  																																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.50/13.24  																																																			|
% 42.50/13.24  																																																				+-Applying beta-rule and splitting (927), into two cases.
% 42.50/13.24  																																																				|-Branch one:
% 42.50/13.24  																																																				| (758) all_0_90_90 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																					| Equations (758) can reduce 762 to:
% 42.50/13.24  																																																					| (311) $false
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																					|-The branch is then unsatisfiable
% 42.50/13.24  																																																				|-Branch two:
% 42.50/13.24  																																																				| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.24  																																																				| (858) all_0_95_95 = e0
% 42.50/13.24  																																																				|
% 42.50/13.24  																																																					| Equations (858) can reduce 893 to:
% 42.50/13.24  																																																					| (311) $false
% 42.50/13.24  																																																					|
% 42.50/13.24  																																																					|-The branch is then unsatisfiable
% 42.50/13.24  																																														|-Branch two:
% 42.50/13.24  																																														| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.24  																																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.50/13.24  																																														|
% 42.50/13.24  																																															+-Applying beta-rule and splitting (881), into two cases.
% 42.50/13.24  																																															|-Branch one:
% 42.50/13.24  																																															| (882) all_0_92_92 = e3
% 42.50/13.24  																																															|
% 42.50/13.24  																																																| Combining equations (882,836) yields a new equation:
% 42.50/13.24  																																																| (825) e3 = e1
% 42.50/13.24  																																																|
% 42.50/13.24  																																																| Simplifying 825 yields:
% 42.50/13.24  																																																| (772) e3 = e1
% 42.50/13.24  																																																|
% 42.50/13.24  																																																| Equations (772) can reduce 20 to:
% 42.50/13.24  																																																| (311) $false
% 42.50/13.24  																																																|
% 42.50/13.24  																																																|-The branch is then unsatisfiable
% 42.50/13.24  																																															|-Branch two:
% 42.50/13.24  																																															| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.24  																																															| (570) all_0_93_93 = e3
% 42.50/13.24  																																															|
% 42.50/13.24  																																																| Combining equations (570,607) yields a new equation:
% 42.50/13.24  																																																| (434) e4 = e3
% 42.50/13.24  																																																|
% 42.50/13.24  																																																| Equations (434) can reduce 177 to:
% 42.50/13.24  																																																| (311) $false
% 42.50/13.24  																																																|
% 42.50/13.24  																																																|-The branch is then unsatisfiable
% 42.50/13.24  																																												|-Branch two:
% 42.50/13.24  																																												| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.24  																																												| (566) all_0_93_93 = e1
% 42.50/13.24  																																												|
% 42.50/13.24  																																													| Combining equations (607,566) yields a new equation:
% 42.50/13.24  																																													| (813) e4 = e1
% 42.50/13.24  																																													|
% 42.50/13.24  																																													| Simplifying 813 yields:
% 42.50/13.24  																																													| (814) e4 = e1
% 42.50/13.24  																																													|
% 42.50/13.24  																																													| Equations (814) can reduce 256 to:
% 42.50/13.24  																																													| (311) $false
% 42.50/13.24  																																													|
% 42.50/13.24  																																													|-The branch is then unsatisfiable
% 42.50/13.24  																																			|-Branch two:
% 42.50/13.24  																																			| (496)  ~ (all_0_93_93 = e4)
% 42.50/13.24  																																			| (2650) all_0_98_98 = e4
% 42.50/13.24  																																			|
% 42.50/13.24  																																				| Equations (2650) can reduce 321 to:
% 42.50/13.24  																																				| (311) $false
% 42.50/13.24  																																				|
% 42.50/13.24  																																				|-The branch is then unsatisfiable
% 42.50/13.24  																																|-Branch two:
% 42.50/13.24  																																| (465)  ~ (all_0_82_82 = e4)
% 42.50/13.24  																																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.50/13.24  																																|
% 42.50/13.24  																																	+-Applying beta-rule and splitting (4), into two cases.
% 42.50/13.24  																																	|-Branch one:
% 42.50/13.24  																																	| (463) all_0_78_78 = e4
% 42.50/13.24  																																	|
% 42.50/13.24  																																		| Combining equations (771,463) yields a new equation:
% 42.50/13.24  																																		| (434) e4 = e3
% 42.50/13.24  																																		|
% 42.50/13.24  																																		| Equations (434) can reduce 177 to:
% 42.50/13.24  																																		| (311) $false
% 42.50/13.24  																																		|
% 42.50/13.24  																																		|-The branch is then unsatisfiable
% 42.50/13.24  																																	|-Branch two:
% 42.50/13.24  																																	| (640)  ~ (all_0_78_78 = e4)
% 42.50/13.24  																																	| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 42.50/13.24  																																	|
% 42.50/13.24  																																		+-Applying beta-rule and splitting (10), into two cases.
% 42.50/13.24  																																		|-Branch one:
% 42.50/13.24  																																		| (530) all_0_82_82 = e2
% 42.50/13.24  																																		|
% 42.50/13.24  																																			| Equations (530) can reduce 347 to:
% 42.50/13.24  																																			| (311) $false
% 42.50/13.24  																																			|
% 42.50/13.24  																																			|-The branch is then unsatisfiable
% 42.50/13.24  																																		|-Branch two:
% 42.50/13.24  																																		| (347)  ~ (all_0_82_82 = e2)
% 42.50/13.24  																																		| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 42.50/13.24  																																		|
% 42.50/13.24  																																			+-Applying beta-rule and splitting (3625), into two cases.
% 42.50/13.24  																																			|-Branch one:
% 42.50/13.24  																																			| (469) all_0_82_82 = e4
% 42.50/13.24  																																			|
% 42.50/13.24  																																				| Equations (469) can reduce 465 to:
% 42.50/13.24  																																				| (311) $false
% 42.50/13.24  																																				|
% 42.50/13.24  																																				|-The branch is then unsatisfiable
% 42.50/13.24  																																			|-Branch two:
% 42.50/13.24  																																			| (465)  ~ (all_0_82_82 = e4)
% 42.50/13.24  																																			| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 42.50/13.24  																																			|
% 42.50/13.24  																																				+-Applying beta-rule and splitting (3629), into two cases.
% 42.50/13.24  																																				|-Branch one:
% 42.50/13.24  																																				| (583) all_0_90_90 = e4
% 42.50/13.24  																																				|
% 42.50/13.24  																																					| Equations (583) can reduce 34 to:
% 42.50/13.24  																																					| (495)  ~ (all_0_93_93 = e4)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| Simplifying 495 yields:
% 42.50/13.24  																																					| (496)  ~ (all_0_93_93 = e4)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| Equations (583) can reduce 229 to:
% 42.50/13.24  																																					| (314)  ~ (all_0_95_95 = e4)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| Simplifying 314 yields:
% 42.50/13.24  																																					| (315)  ~ (all_0_95_95 = e4)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| Equations (583) can reduce 745 to:
% 42.50/13.24  																																					| (177)  ~ (e4 = e3)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| Equations (583) can reduce 294 to:
% 42.50/13.24  																																					| (79)  ~ (e4 = e2)
% 42.50/13.24  																																					|
% 42.50/13.24  																																					| From (583) and (218) follows:
% 42.50/13.24  																																					| (4391) op(e1, e3) = e4
% 42.50/13.24  																																					|
% 42.50/13.24  																																					+-Applying beta-rule and splitting (168), into two cases.
% 42.50/13.24  																																					|-Branch one:
% 42.50/13.24  																																					| (638) all_0_81_81 = e4
% 42.50/13.24  																																					|
% 42.50/13.24  																																						| Combining equations (638,473) yields a new equation:
% 42.50/13.24  																																						| (309) e4 = e2
% 42.50/13.24  																																						|
% 42.50/13.24  																																						| Simplifying 309 yields:
% 42.50/13.24  																																						| (310) e4 = e2
% 42.50/13.24  																																						|
% 42.50/13.24  																																						| Equations (310) can reduce 79 to:
% 42.50/13.24  																																						| (311) $false
% 42.50/13.24  																																						|
% 42.50/13.24  																																						|-The branch is then unsatisfiable
% 42.50/13.24  																																					|-Branch two:
% 42.50/13.24  																																					| (634)  ~ (all_0_81_81 = e4)
% 42.50/13.24  																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 42.50/13.24  																																					|
% 42.50/13.24  																																						+-Applying beta-rule and splitting (2559), into two cases.
% 42.50/13.24  																																						|-Branch one:
% 42.50/13.24  																																						| (493) all_0_85_85 = e4
% 42.50/13.24  																																						|
% 42.50/13.24  																																							| Equations (493) can reduce 209 to:
% 42.50/13.24  																																							| (465)  ~ (all_0_82_82 = e4)
% 42.50/13.24  																																							|
% 42.50/13.24  																																							| Equations (493) can reduce 154 to:
% 42.50/13.24  																																							| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.24  																																							|
% 42.50/13.24  																																							| Equations (493) can reduce 515 to:
% 42.50/13.24  																																							| (79)  ~ (e4 = e2)
% 42.50/13.24  																																							|
% 42.50/13.24  																																							| Equations (493) can reduce 128 to:
% 42.50/13.24  																																							| (256)  ~ (e4 = e1)
% 42.50/13.24  																																							|
% 42.50/13.24  																																							+-Applying beta-rule and splitting (171), into two cases.
% 42.50/13.24  																																							|-Branch one:
% 42.50/13.24  																																							| (789) all_0_82_82 = e3
% 42.50/13.24  																																							|
% 42.50/13.24  																																								| Equations (789) can reduce 793 to:
% 42.50/13.24  																																								| (311) $false
% 42.50/13.24  																																								|
% 42.50/13.24  																																								|-The branch is then unsatisfiable
% 42.50/13.24  																																							|-Branch two:
% 42.50/13.24  																																							| (793)  ~ (all_0_82_82 = e3)
% 42.50/13.24  																																							| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 42.50/13.24  																																							|
% 42.50/13.24  																																								+-Applying beta-rule and splitting (1718), into two cases.
% 42.50/13.24  																																								|-Branch one:
% 42.50/13.24  																																								| (384) all_0_86_86 = e1
% 42.50/13.24  																																								|
% 42.50/13.24  																																									| Combining equations (345,384) yields a new equation:
% 42.50/13.24  																																									| (408) e2 = e1
% 42.50/13.24  																																									|
% 42.50/13.24  																																									| Simplifying 408 yields:
% 42.50/13.24  																																									| (385) e2 = e1
% 42.50/13.24  																																									|
% 42.50/13.24  																																									| Equations (385) can reduce 243 to:
% 42.50/13.24  																																									| (311) $false
% 42.50/13.24  																																									|
% 42.50/13.24  																																									|-The branch is then unsatisfiable
% 42.50/13.24  																																								|-Branch two:
% 42.50/13.24  																																								| (387)  ~ (all_0_86_86 = e1)
% 42.50/13.24  																																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 42.50/13.24  																																								|
% 42.50/13.24  																																									+-Applying beta-rule and splitting (2205), into two cases.
% 42.50/13.24  																																									|-Branch one:
% 42.50/13.24  																																									| (789) all_0_82_82 = e3
% 42.50/13.24  																																									|
% 42.50/13.24  																																										| Equations (789) can reduce 793 to:
% 42.50/13.24  																																										| (311) $false
% 42.50/13.24  																																										|
% 42.50/13.24  																																										|-The branch is then unsatisfiable
% 42.50/13.24  																																									|-Branch two:
% 42.50/13.24  																																									| (793)  ~ (all_0_82_82 = e3)
% 42.50/13.24  																																									| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 42.50/13.24  																																									|
% 42.50/13.24  																																										+-Applying beta-rule and splitting (2122), into two cases.
% 42.50/13.24  																																										|-Branch one:
% 42.50/13.24  																																										| (750) all_0_90_90 = e1
% 42.50/13.24  																																										|
% 42.50/13.24  																																											| Combining equations (583,750) yields a new equation:
% 42.50/13.24  																																											| (813) e4 = e1
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Simplifying 813 yields:
% 42.50/13.24  																																											| (814) e4 = e1
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Equations (814) can reduce 256 to:
% 42.50/13.24  																																											| (311) $false
% 42.50/13.24  																																											|
% 42.50/13.24  																																											|-The branch is then unsatisfiable
% 42.50/13.24  																																										|-Branch two:
% 42.50/13.24  																																										| (678)  ~ (all_0_90_90 = e1)
% 42.50/13.24  																																										| (785) all_0_95_95 = e1
% 42.50/13.24  																																										|
% 42.50/13.24  																																											| Equations (785) can reduce 200 to:
% 42.50/13.24  																																											| (198)  ~ (all_0_82_82 = e1)
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Equations (785) can reduce 279 to:
% 42.50/13.24  																																											| (1671)  ~ (all_0_96_96 = e1)
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Simplifying 1671 yields:
% 42.50/13.24  																																											| (1479)  ~ (all_0_96_96 = e1)
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Equations (785) can reduce 107 to:
% 42.50/13.24  																																											| (1803)  ~ (all_0_98_98 = e1)
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Simplifying 1803 yields:
% 42.50/13.24  																																											| (1804)  ~ (all_0_98_98 = e1)
% 42.50/13.24  																																											|
% 42.50/13.24  																																											| Equations (785) can reduce 315 to:
% 42.50/13.25  																																											| (681)  ~ (e4 = e1)
% 42.50/13.25  																																											|
% 42.50/13.25  																																											| Simplifying 681 yields:
% 42.50/13.25  																																											| (256)  ~ (e4 = e1)
% 42.50/13.25  																																											|
% 42.50/13.25  																																											| Equations (785) can reduce 355 to:
% 42.50/13.25  																																											| (487)  ~ (e2 = e1)
% 42.50/13.25  																																											|
% 42.50/13.25  																																											| Simplifying 487 yields:
% 42.50/13.25  																																											| (243)  ~ (e2 = e1)
% 42.50/13.25  																																											|
% 42.50/13.25  																																											+-Applying beta-rule and splitting (2706), into two cases.
% 42.50/13.25  																																											|-Branch one:
% 42.50/13.25  																																											| (910) all_0_82_82 = e0
% 42.50/13.25  																																											|
% 42.50/13.25  																																												| Equations (910) can reduce 7 to:
% 42.50/13.25  																																												| (2207)  ~ (all_0_84_84 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												| Simplifying 2207 yields:
% 42.50/13.25  																																												| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												| Equations (910) can reduce 465 to:
% 42.50/13.25  																																												| (904)  ~ (e4 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												| Simplifying 904 yields:
% 42.50/13.25  																																												| (23)  ~ (e4 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												| Equations (910) can reduce 198 to:
% 42.50/13.25  																																												| (859)  ~ (e1 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												| Simplifying 859 yields:
% 42.50/13.25  																																												| (264)  ~ (e1 = e0)
% 42.50/13.25  																																												|
% 42.50/13.25  																																												+-Applying beta-rule and splitting (92), into two cases.
% 42.50/13.25  																																												|-Branch one:
% 42.50/13.25  																																												| (552) all_0_84_84 = e2
% 42.50/13.25  																																												|
% 42.50/13.25  																																													| Equations (552) can reduce 612 to:
% 42.50/13.25  																																													| (311) $false
% 42.50/13.25  																																													|
% 42.50/13.25  																																													|-The branch is then unsatisfiable
% 42.50/13.25  																																												|-Branch two:
% 42.50/13.25  																																												| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.25  																																												| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.50/13.25  																																												|
% 42.50/13.25  																																													+-Applying beta-rule and splitting (617), into two cases.
% 42.50/13.25  																																													|-Branch one:
% 42.50/13.25  																																													| (1265) all_0_84_84 = e3
% 42.50/13.25  																																													|
% 42.50/13.25  																																														| Equations (1265) can reduce 87 to:
% 42.50/13.25  																																														| (425)  ~ (all_0_92_92 = e3)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Simplifying 425 yields:
% 42.50/13.25  																																														| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Equations (1265) can reduce 417 to:
% 42.50/13.25  																																														| (783)  ~ (e4 = e3)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Simplifying 783 yields:
% 42.50/13.25  																																														| (177)  ~ (e4 = e3)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Equations (1265) can reduce 259 to:
% 42.50/13.25  																																														| (20)  ~ (e3 = e1)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Equations (1265) can reduce 919 to:
% 42.50/13.25  																																														| (50)  ~ (e3 = e0)
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| From (1265) and (122) follows:
% 42.50/13.25  																																														| (3507) op(e1, e3) = all_0_62_62
% 42.50/13.25  																																														|
% 42.50/13.25  																																														| Instantiating formula (262) with e1, e3, e4, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e4, yields:
% 42.50/13.25  																																														| (4461) all_0_62_62 = e4
% 42.50/13.25  																																														|
% 42.50/13.25  																																														+-Applying beta-rule and splitting (276), into two cases.
% 42.50/13.25  																																														|-Branch one:
% 42.50/13.25  																																														| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.50/13.25  																																														|
% 42.50/13.25  																																															+-Applying beta-rule and splitting (577), into two cases.
% 42.50/13.25  																																															|-Branch one:
% 42.50/13.25  																																															| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.50/13.25  																																															|
% 42.50/13.25  																																																+-Applying beta-rule and splitting (578), into two cases.
% 42.50/13.25  																																																|-Branch one:
% 42.50/13.25  																																																| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	| Applying alpha-rule on (579) yields:
% 42.50/13.25  																																																	| (580) all_0_60_60 = e4
% 42.50/13.25  																																																	| (581)  ~ (all_0_61_61 = e1)
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Combining equations (580,4076) yields a new equation:
% 42.50/13.25  																																																	| (309) e4 = e2
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Simplifying 309 yields:
% 42.50/13.25  																																																	| (310) e4 = e2
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Equations (310) can reduce 79 to:
% 42.50/13.25  																																																	| (311) $false
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	|-The branch is then unsatisfiable
% 42.50/13.25  																																																|-Branch two:
% 42.50/13.25  																																																| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	| Applying alpha-rule on (585) yields:
% 42.50/13.25  																																																	| (586) all_0_62_62 = e3
% 42.50/13.25  																																																	| (587)  ~ (all_0_63_63 = e1)
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Combining equations (4461,586) yields a new equation:
% 42.50/13.25  																																																	| (790) e4 = e3
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Simplifying 790 yields:
% 42.50/13.25  																																																	| (434) e4 = e3
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Equations (434) can reduce 177 to:
% 42.50/13.25  																																																	| (311) $false
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	|-The branch is then unsatisfiable
% 42.50/13.25  																																															|-Branch two:
% 42.50/13.25  																																															| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.50/13.25  																																															|
% 42.50/13.25  																																																| Applying alpha-rule on (590) yields:
% 42.50/13.25  																																																| (591) all_0_64_64 = e2
% 42.50/13.25  																																																| (592)  ~ (all_0_65_65 = e1)
% 42.50/13.25  																																																|
% 42.50/13.25  																																																| From (591) and (16) follows:
% 42.50/13.25  																																																| (4482) op(e1, all_0_87_87) = e2
% 42.50/13.25  																																																|
% 42.50/13.25  																																																+-Applying beta-rule and splitting (102), into two cases.
% 42.50/13.25  																																																|-Branch one:
% 42.50/13.25  																																																| (858) all_0_95_95 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	| Combining equations (858,785) yields a new equation:
% 42.50/13.25  																																																	| (865) e1 = e0
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Equations (865) can reduce 264 to:
% 42.50/13.25  																																																	| (311) $false
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	|-The branch is then unsatisfiable
% 42.50/13.25  																																																|-Branch two:
% 42.50/13.25  																																																| (893)  ~ (all_0_95_95 = e0)
% 42.50/13.25  																																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	+-Applying beta-rule and splitting (119), into two cases.
% 42.50/13.25  																																																	|-Branch one:
% 42.50/13.25  																																																	| (1343) all_0_92_92 = e2
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																		| Equations (1343) can reduce 298 to:
% 42.50/13.25  																																																		| (311) $false
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																		|-The branch is then unsatisfiable
% 42.50/13.25  																																																	|-Branch two:
% 42.50/13.25  																																																	| (298)  ~ (all_0_92_92 = e2)
% 42.50/13.25  																																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																		+-Applying beta-rule and splitting (289), into two cases.
% 42.50/13.25  																																																		|-Branch one:
% 42.50/13.25  																																																		| (954) all_0_85_85 = e0
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																			| Combining equations (493,954) yields a new equation:
% 42.50/13.25  																																																			| (911) e4 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			| Simplifying 911 yields:
% 42.50/13.25  																																																			| (912) e4 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			| Equations (912) can reduce 23 to:
% 42.50/13.25  																																																			| (311) $false
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			|-The branch is then unsatisfiable
% 42.50/13.25  																																																		|-Branch two:
% 42.50/13.25  																																																		| (800)  ~ (all_0_85_85 = e0)
% 42.50/13.25  																																																		| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																			| Equations (493) can reduce 800 to:
% 42.50/13.25  																																																			| (23)  ~ (e4 = e0)
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			+-Applying beta-rule and splitting (291), into two cases.
% 42.50/13.25  																																																			|-Branch one:
% 42.50/13.25  																																																			| (758) all_0_90_90 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																				| Combining equations (583,758) yields a new equation:
% 42.50/13.25  																																																				| (911) e4 = e0
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				| Simplifying 911 yields:
% 42.50/13.25  																																																				| (912) e4 = e0
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				| Equations (912) can reduce 23 to:
% 42.50/13.25  																																																				| (311) $false
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				|-The branch is then unsatisfiable
% 42.50/13.25  																																																			|-Branch two:
% 42.50/13.25  																																																			| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.25  																																																			| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																				+-Applying beta-rule and splitting (65), into two cases.
% 42.50/13.25  																																																				|-Branch one:
% 42.50/13.25  																																																				| (522) all_0_93_93 = e2
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																					| Equations (522) can reduce 300 to:
% 42.50/13.25  																																																					| (311) $false
% 42.50/13.25  																																																					|
% 42.50/13.25  																																																					|-The branch is then unsatisfiable
% 42.50/13.25  																																																				|-Branch two:
% 42.50/13.25  																																																				| (300)  ~ (all_0_93_93 = e2)
% 42.50/13.25  																																																				| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																					+-Applying beta-rule and splitting (373), into two cases.
% 42.50/13.25  																																																					|-Branch one:
% 42.50/13.25  																																																					| (504) all_0_88_88 = e1
% 42.50/13.25  																																																					|
% 42.50/13.25  																																																						| Equations (504) can reduce 181 to:
% 42.50/13.25  																																																						| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						+-Applying beta-rule and splitting (377), into two cases.
% 42.50/13.25  																																																						|-Branch one:
% 42.50/13.25  																																																						| (482) all_0_87_87 = e1
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																							| Equations (482) can reduce 625 to:
% 42.50/13.25  																																																							| (311) $false
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							|-The branch is then unsatisfiable
% 42.50/13.25  																																																						|-Branch two:
% 42.50/13.25  																																																						| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.25  																																																						| (861) all_0_87_87 = e0
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																							| From (861) and (4482) follows:
% 42.50/13.25  																																																							| (4519) op(e1, e0) = e2
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							| Instantiating formula (262) with e1, e0, e2, all_0_93_93 and discharging atoms op(e1, e0) = all_0_93_93, op(e1, e0) = e2, yields:
% 42.50/13.25  																																																							| (522) all_0_93_93 = e2
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							| Equations (522) can reduce 300 to:
% 42.50/13.25  																																																							| (311) $false
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							|-The branch is then unsatisfiable
% 42.50/13.25  																																																					|-Branch two:
% 42.50/13.25  																																																					| (479)  ~ (all_0_88_88 = e1)
% 42.50/13.25  																																																					| (507) all_0_88_88 = e0
% 42.50/13.25  																																																					|
% 42.50/13.25  																																																						| Equations (507) can reduce 181 to:
% 42.50/13.25  																																																						| (889)  ~ (all_0_87_87 = e0)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						| Equations (507) can reduce 286 to:
% 42.50/13.25  																																																						| (508)  ~ (all_0_93_93 = e0)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						| Simplifying 508 yields:
% 42.50/13.25  																																																						| (509)  ~ (all_0_93_93 = e0)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						| Equations (507) can reduce 31 to:
% 42.50/13.25  																																																						| (2058)  ~ (all_0_98_98 = e0)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						| Simplifying 2058 yields:
% 42.50/13.25  																																																						| (2059)  ~ (all_0_98_98 = e0)
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																						+-Applying beta-rule and splitting (377), into two cases.
% 42.50/13.25  																																																						|-Branch one:
% 42.50/13.25  																																																						| (482) all_0_87_87 = e1
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																							| From (482) and (4482) follows:
% 42.50/13.25  																																																							| (4530) op(e1, e1) = e2
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							+-Applying beta-rule and splitting (1921), into two cases.
% 42.50/13.25  																																																							|-Branch one:
% 42.50/13.25  																																																							| (1837) all_0_96_96 = e0
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																								| Equations (1837) can reduce 64 to:
% 42.50/13.25  																																																								| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.25  																																																								|
% 42.50/13.25  																																																								+-Applying beta-rule and splitting (1455), into two cases.
% 42.50/13.25  																																																								|-Branch one:
% 42.50/13.25  																																																								| (1456) all_0_91_91 = e0
% 42.50/13.25  																																																								|
% 42.50/13.25  																																																									| Equations (1456) can reduce 1487 to:
% 42.50/13.25  																																																									| (311) $false
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																									|-The branch is then unsatisfiable
% 42.50/13.25  																																																								|-Branch two:
% 42.50/13.25  																																																								| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.25  																																																								| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 42.50/13.25  																																																								|
% 42.50/13.25  																																																									+-Applying beta-rule and splitting (1488), into two cases.
% 42.50/13.25  																																																									|-Branch one:
% 42.50/13.25  																																																									| (942) all_0_92_92 = e0
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																										| Equations (942) can reduce 298 to:
% 42.50/13.25  																																																										| (510)  ~ (e2 = e0)
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| Simplifying 510 yields:
% 42.50/13.25  																																																										| (76)  ~ (e2 = e0)
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| From (942) and (135) follows:
% 42.50/13.25  																																																										| (4548) op(e1, e1) = e0
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| Instantiating formula (262) with e1, e1, e0, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e0, yields:
% 42.50/13.25  																																																										| (379) e2 = e0
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| Equations (379) can reduce 76 to:
% 42.50/13.25  																																																										| (311) $false
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										|-The branch is then unsatisfiable
% 42.50/13.25  																																																									|-Branch two:
% 42.50/13.25  																																																									| (946)  ~ (all_0_92_92 = e0)
% 42.50/13.25  																																																									| (604) all_0_93_93 = e0
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																										| Equations (604) can reduce 509 to:
% 42.50/13.25  																																																										| (311) $false
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										|-The branch is then unsatisfiable
% 42.50/13.25  																																																							|-Branch two:
% 42.50/13.25  																																																							| (2095)  ~ (all_0_96_96 = e0)
% 42.50/13.25  																																																							| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																								+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.25  																																																								|-Branch one:
% 42.50/13.25  																																																								| (1456) all_0_91_91 = e0
% 42.50/13.25  																																																								|
% 42.50/13.25  																																																									| Equations (1456) can reduce 296 to:
% 42.50/13.25  																																																									| (510)  ~ (e2 = e0)
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																									| Simplifying 510 yields:
% 42.50/13.25  																																																									| (76)  ~ (e2 = e0)
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 42.50/13.25  																																																									|-Branch one:
% 42.50/13.25  																																																									| (560) all_0_97_97 = e0
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																										| Combining equations (538,560) yields a new equation:
% 42.50/13.25  																																																										| (923) e2 = e0
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| Simplifying 923 yields:
% 42.50/13.25  																																																										| (379) e2 = e0
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										| Equations (379) can reduce 76 to:
% 42.50/13.25  																																																										| (311) $false
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										|-The branch is then unsatisfiable
% 42.50/13.25  																																																									|-Branch two:
% 42.50/13.25  																																																									| (609)  ~ (all_0_97_97 = e0)
% 42.50/13.25  																																																									| (1121) all_0_98_98 = e0
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																										| Equations (1121) can reduce 2059 to:
% 42.50/13.25  																																																										| (311) $false
% 42.50/13.25  																																																										|
% 42.50/13.25  																																																										|-The branch is then unsatisfiable
% 42.50/13.25  																																																								|-Branch two:
% 42.50/13.25  																																																								| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.25  																																																								| (1837) all_0_96_96 = e0
% 42.50/13.25  																																																								|
% 42.50/13.25  																																																									| Equations (1837) can reduce 2095 to:
% 42.50/13.25  																																																									| (311) $false
% 42.50/13.25  																																																									|
% 42.50/13.25  																																																									|-The branch is then unsatisfiable
% 42.50/13.25  																																																						|-Branch two:
% 42.50/13.25  																																																						| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.25  																																																						| (861) all_0_87_87 = e0
% 42.50/13.25  																																																						|
% 42.50/13.25  																																																							| Equations (861) can reduce 889 to:
% 42.50/13.25  																																																							| (311) $false
% 42.50/13.25  																																																							|
% 42.50/13.25  																																																							|-The branch is then unsatisfiable
% 42.50/13.25  																																														|-Branch two:
% 42.50/13.25  																																														| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.50/13.25  																																														|
% 42.50/13.25  																																															| Applying alpha-rule on (596) yields:
% 42.50/13.25  																																															| (597) all_0_67_67 = e0
% 42.50/13.25  																																															| (598)  ~ (all_0_68_68 = e1)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Combining equations (4077,597) yields a new equation:
% 42.50/13.25  																																															| (4610) all_0_91_91 = e0
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Simplifying 4610 yields:
% 42.50/13.25  																																															| (1456) all_0_91_91 = e0
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Equations (1456) can reduce 64 to:
% 42.50/13.25  																																															| (2296)  ~ (all_0_96_96 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Simplifying 2296 yields:
% 42.50/13.25  																																															| (2095)  ~ (all_0_96_96 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Equations (1456) can reduce 296 to:
% 42.50/13.25  																																															| (510)  ~ (e2 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Simplifying 510 yields:
% 42.50/13.25  																																															| (76)  ~ (e2 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Equations (1456) can reduce 959 to:
% 42.50/13.25  																																															| (859)  ~ (e1 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															| Simplifying 859 yields:
% 42.50/13.25  																																															| (264)  ~ (e1 = e0)
% 42.50/13.25  																																															|
% 42.50/13.25  																																															+-Applying beta-rule and splitting (2), into two cases.
% 42.50/13.25  																																															|-Branch one:
% 42.50/13.25  																																															| (916) all_0_84_84 = e0
% 42.50/13.25  																																															|
% 42.50/13.25  																																																| Combining equations (1265,916) yields a new equation:
% 42.50/13.25  																																																| (599) e3 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																| Simplifying 599 yields:
% 42.50/13.25  																																																| (600) e3 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																| Equations (600) can reduce 50 to:
% 42.50/13.25  																																																| (311) $false
% 42.50/13.25  																																																|
% 42.50/13.25  																																																|-The branch is then unsatisfiable
% 42.50/13.25  																																															|-Branch two:
% 42.50/13.25  																																															| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.25  																																															| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.50/13.25  																																															|
% 42.50/13.25  																																																| Equations (1265) can reduce 919 to:
% 42.50/13.25  																																																| (50)  ~ (e3 = e0)
% 42.50/13.25  																																																|
% 42.50/13.25  																																																+-Applying beta-rule and splitting (102), into two cases.
% 42.50/13.25  																																																|-Branch one:
% 42.50/13.25  																																																| (858) all_0_95_95 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	| Combining equations (785,858) yields a new equation:
% 42.50/13.25  																																																	| (1107) e1 = e0
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Simplifying 1107 yields:
% 42.50/13.25  																																																	| (865) e1 = e0
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	| Equations (865) can reduce 264 to:
% 42.50/13.25  																																																	| (311) $false
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	|-The branch is then unsatisfiable
% 42.50/13.25  																																																|-Branch two:
% 42.50/13.25  																																																| (893)  ~ (all_0_95_95 = e0)
% 42.50/13.25  																																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.50/13.25  																																																|
% 42.50/13.25  																																																	| Equations (785) can reduce 893 to:
% 42.50/13.25  																																																	| (264)  ~ (e1 = e0)
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																	+-Applying beta-rule and splitting (282), into two cases.
% 42.50/13.25  																																																	|-Branch one:
% 42.50/13.25  																																																	| (754) all_0_90_90 = e3
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																		| Combining equations (754,583) yields a new equation:
% 42.50/13.25  																																																		| (434) e4 = e3
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																		| Equations (434) can reduce 177 to:
% 42.50/13.25  																																																		| (311) $false
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																		|-The branch is then unsatisfiable
% 42.50/13.25  																																																	|-Branch two:
% 42.50/13.25  																																																	| (745)  ~ (all_0_90_90 = e3)
% 42.50/13.25  																																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.50/13.25  																																																	|
% 42.50/13.25  																																																		+-Applying beta-rule and splitting (849), into two cases.
% 42.50/13.25  																																																		|-Branch one:
% 42.50/13.25  																																																		| (588) all_0_91_91 = e3
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																			| Combining equations (588,1456) yields a new equation:
% 42.50/13.25  																																																			| (599) e3 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			| Simplifying 599 yields:
% 42.50/13.25  																																																			| (600) e3 = e0
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			| Equations (600) can reduce 50 to:
% 42.50/13.25  																																																			| (311) $false
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																			|-The branch is then unsatisfiable
% 42.50/13.25  																																																		|-Branch two:
% 42.50/13.25  																																																		| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.25  																																																		| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.50/13.25  																																																		|
% 42.50/13.25  																																																			+-Applying beta-rule and splitting (881), into two cases.
% 42.50/13.25  																																																			|-Branch one:
% 42.50/13.25  																																																			| (882) all_0_92_92 = e3
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																				| Equations (882) can reduce 426 to:
% 42.50/13.25  																																																				| (311) $false
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				|-The branch is then unsatisfiable
% 42.50/13.25  																																																			|-Branch two:
% 42.50/13.25  																																																			| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.25  																																																			| (570) all_0_93_93 = e3
% 42.50/13.25  																																																			|
% 42.50/13.25  																																																				| Equations (570) can reduce 13 to:
% 42.50/13.25  																																																				| (1518)  ~ (all_0_98_98 = e3)
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				| Simplifying 1518 yields:
% 42.50/13.25  																																																				| (1519)  ~ (all_0_98_98 = e3)
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				| Equations (570) can reduce 300 to:
% 42.50/13.25  																																																				| (169)  ~ (e3 = e2)
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																				+-Applying beta-rule and splitting (132), into two cases.
% 42.50/13.25  																																																				|-Branch one:
% 42.50/13.25  																																																				| (750) all_0_90_90 = e1
% 42.50/13.25  																																																				|
% 42.50/13.25  																																																					| Combining equations (583,750) yields a new equation:
% 42.50/13.25  																																																					| (813) e4 = e1
% 42.50/13.25  																																																					|
% 42.50/13.25  																																																					| Simplifying 813 yields:
% 42.50/13.25  																																																					| (814) e4 = e1
% 42.50/13.25  																																																					|
% 42.50/13.26  																																																					| Equations (814) can reduce 256 to:
% 42.50/13.26  																																																					| (311) $false
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																					|-The branch is then unsatisfiable
% 42.50/13.26  																																																				|-Branch two:
% 42.50/13.26  																																																				| (678)  ~ (all_0_90_90 = e1)
% 42.50/13.26  																																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.50/13.26  																																																				|
% 42.50/13.26  																																																					+-Applying beta-rule and splitting (1526), into two cases.
% 42.50/13.26  																																																					|-Branch one:
% 42.50/13.26  																																																					| (801) all_0_91_91 = e1
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																						| Combining equations (1456,801) yields a new equation:
% 42.50/13.26  																																																						| (865) e1 = e0
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																						| Equations (865) can reduce 264 to:
% 42.50/13.26  																																																						| (311) $false
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																						|-The branch is then unsatisfiable
% 42.50/13.26  																																																					|-Branch two:
% 42.50/13.26  																																																					| (959)  ~ (all_0_91_91 = e1)
% 42.50/13.26  																																																					| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																						+-Applying beta-rule and splitting (1556), into two cases.
% 42.50/13.26  																																																						|-Branch one:
% 42.50/13.26  																																																						| (836) all_0_92_92 = e1
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																							+-Applying beta-rule and splitting (1921), into two cases.
% 42.50/13.26  																																																							|-Branch one:
% 42.50/13.26  																																																							| (1837) all_0_96_96 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								| Equations (1837) can reduce 2095 to:
% 42.50/13.26  																																																								| (311) $false
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								|-The branch is then unsatisfiable
% 42.50/13.26  																																																							|-Branch two:
% 42.50/13.26  																																																							| (2095)  ~ (all_0_96_96 = e0)
% 42.50/13.26  																																																							| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								+-Applying beta-rule and splitting (1712), into two cases.
% 42.50/13.26  																																																								|-Branch one:
% 42.50/13.26  																																																								| (795) all_0_83_83 = e3
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									| Combining equations (453,795) yields a new equation:
% 42.50/13.26  																																																									| (548) e3 = e2
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Equations (548) can reduce 169 to:
% 42.50/13.26  																																																									| (311) $false
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									|-The branch is then unsatisfiable
% 42.50/13.26  																																																								|-Branch two:
% 42.50/13.26  																																																								| (779)  ~ (all_0_83_83 = e3)
% 42.50/13.26  																																																								| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 42.50/13.26  																																																									|-Branch one:
% 42.50/13.26  																																																									| (560) all_0_97_97 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																										| Combining equations (538,560) yields a new equation:
% 42.50/13.26  																																																										| (923) e2 = e0
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Simplifying 923 yields:
% 42.50/13.26  																																																										| (379) e2 = e0
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Equations (379) can reduce 76 to:
% 42.50/13.26  																																																										| (311) $false
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										|-The branch is then unsatisfiable
% 42.50/13.26  																																																									|-Branch two:
% 42.50/13.26  																																																									| (609)  ~ (all_0_97_97 = e0)
% 42.50/13.26  																																																									| (1121) all_0_98_98 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																										| Equations (1121) can reduce 1519 to:
% 42.50/13.26  																																																										| (906)  ~ (e3 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Simplifying 906 yields:
% 42.50/13.26  																																																										| (50)  ~ (e3 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Equations (1121) can reduce 1349 to:
% 42.50/13.26  																																																										| (510)  ~ (e2 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Simplifying 510 yields:
% 42.50/13.26  																																																										| (76)  ~ (e2 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Equations (1121) can reduce 1804 to:
% 42.50/13.26  																																																										| (859)  ~ (e1 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Simplifying 859 yields:
% 42.50/13.26  																																																										| (264)  ~ (e1 = e0)
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										+-Applying beta-rule and splitting (1842), into two cases.
% 42.50/13.26  																																																										|-Branch one:
% 42.50/13.26  																																																										| (588) all_0_91_91 = e3
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																											| Combining equations (588,1456) yields a new equation:
% 42.50/13.26  																																																											| (599) e3 = e0
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																											| Simplifying 599 yields:
% 42.50/13.26  																																																											| (600) e3 = e0
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																											| Equations (600) can reduce 50 to:
% 42.50/13.26  																																																											| (311) $false
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																											|-The branch is then unsatisfiable
% 42.50/13.26  																																																										|-Branch two:
% 42.50/13.26  																																																										| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.26  																																																										| (778) all_0_96_96 = e3
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																											| From (778) and (4960) follows:
% 42.50/13.26  																																																											| (5343) op(e2, e3) = e0
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																											+-Applying beta-rule and splitting (920), into two cases.
% 42.50/13.26  																																																											|-Branch one:
% 42.50/13.26  																																																											| (861) all_0_87_87 = e0
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																												| Equations (861) can reduce 349 to:
% 42.50/13.26  																																																												| (510)  ~ (e2 = e0)
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																												| Simplifying 510 yields:
% 42.50/13.26  																																																												| (76)  ~ (e2 = e0)
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																												| Instantiating formula (262) with e2, e3, e0, e2 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 42.50/13.26  																																																												| (379) e2 = e0
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																												| Equations (379) can reduce 76 to:
% 42.50/13.26  																																																												| (311) $false
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																												|-The branch is then unsatisfiable
% 42.50/13.26  																																																											|-Branch two:
% 42.50/13.26  																																																											| (889)  ~ (all_0_87_87 = e0)
% 42.50/13.26  																																																											| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.50/13.26  																																																											|
% 42.50/13.26  																																																												+-Applying beta-rule and splitting (931), into two cases.
% 42.50/13.26  																																																												|-Branch one:
% 42.50/13.26  																																																												| (942) all_0_92_92 = e0
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																													| Combining equations (942,836) yields a new equation:
% 42.50/13.26  																																																													| (865) e1 = e0
% 42.50/13.26  																																																													|
% 42.50/13.26  																																																													| Equations (865) can reduce 264 to:
% 42.50/13.26  																																																													| (311) $false
% 42.50/13.26  																																																													|
% 42.50/13.26  																																																													|-The branch is then unsatisfiable
% 42.50/13.26  																																																												|-Branch two:
% 42.50/13.26  																																																												| (946)  ~ (all_0_92_92 = e0)
% 42.50/13.26  																																																												| (560) all_0_97_97 = e0
% 42.50/13.26  																																																												|
% 42.50/13.26  																																																													| Combining equations (538,560) yields a new equation:
% 42.50/13.26  																																																													| (923) e2 = e0
% 42.50/13.26  																																																													|
% 42.50/13.26  																																																													| Simplifying 923 yields:
% 42.50/13.26  																																																													| (379) e2 = e0
% 42.50/13.26  																																																													|
% 42.50/13.26  																																																													| Equations (379) can reduce 76 to:
% 42.50/13.26  																																																													| (311) $false
% 42.50/13.26  																																																													|
% 42.50/13.26  																																																													|-The branch is then unsatisfiable
% 42.50/13.26  																																																						|-Branch two:
% 42.50/13.26  																																																						| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.26  																																																						| (566) all_0_93_93 = e1
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																							| Combining equations (570,566) yields a new equation:
% 42.50/13.26  																																																							| (825) e3 = e1
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																							| Simplifying 825 yields:
% 42.50/13.26  																																																							| (772) e3 = e1
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																							| Equations (772) can reduce 20 to:
% 42.50/13.26  																																																							| (311) $false
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																							|-The branch is then unsatisfiable
% 42.50/13.26  																																													|-Branch two:
% 42.50/13.26  																																													| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.26  																																													| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.50/13.26  																																													|
% 42.50/13.26  																																														+-Applying beta-rule and splitting (207), into two cases.
% 42.50/13.26  																																														|-Branch one:
% 42.50/13.26  																																														| (416) all_0_80_80 = e3
% 42.50/13.26  																																														|
% 42.50/13.26  																																															| Combining equations (416,433) yields a new equation:
% 42.50/13.26  																																															| (434) e4 = e3
% 42.50/13.26  																																															|
% 42.50/13.26  																																															| Equations (434) can reduce 177 to:
% 42.50/13.26  																																															| (311) $false
% 42.50/13.26  																																															|
% 42.50/13.26  																																															|-The branch is then unsatisfiable
% 42.50/13.26  																																														|-Branch two:
% 42.50/13.26  																																														| (2347)  ~ (all_0_80_80 = e3)
% 42.50/13.26  																																														| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.50/13.26  																																														|
% 42.50/13.26  																																															+-Applying beta-rule and splitting (2481), into two cases.
% 42.50/13.26  																																															|-Branch one:
% 42.50/13.26  																																															| (1265) all_0_84_84 = e3
% 42.50/13.26  																																															|
% 42.50/13.26  																																																| Equations (1265) can reduce 422 to:
% 42.50/13.26  																																																| (311) $false
% 42.50/13.26  																																																|
% 42.50/13.26  																																																|-The branch is then unsatisfiable
% 42.50/13.26  																																															|-Branch two:
% 42.50/13.26  																																															| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.26  																																															| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.50/13.26  																																															|
% 42.50/13.26  																																																+-Applying beta-rule and splitting (3765), into two cases.
% 42.50/13.26  																																																|-Branch one:
% 42.50/13.26  																																																| (882) all_0_92_92 = e3
% 42.50/13.26  																																																|
% 42.50/13.26  																																																	| Equations (882) can reduce 94 to:
% 42.50/13.26  																																																	| (227)  ~ (all_0_87_87 = e3)
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	| Equations (882) can reduce 265 to:
% 42.50/13.26  																																																	| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	| Equations (882) can reduce 298 to:
% 42.50/13.26  																																																	| (169)  ~ (e3 = e2)
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	+-Applying beta-rule and splitting (250), into two cases.
% 42.50/13.26  																																																	|-Branch one:
% 42.50/13.26  																																																	| (635) all_0_81_81 = e3
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																		| Combining equations (473,635) yields a new equation:
% 42.50/13.26  																																																		| (548) e3 = e2
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																		| Equations (548) can reduce 169 to:
% 42.50/13.26  																																																		| (311) $false
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																		|-The branch is then unsatisfiable
% 42.50/13.26  																																																	|-Branch two:
% 42.50/13.26  																																																	| (420)  ~ (all_0_81_81 = e3)
% 42.50/13.26  																																																	| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																		| Equations (473) can reduce 420 to:
% 42.50/13.26  																																																		| (356)  ~ (e3 = e2)
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																		| Simplifying 356 yields:
% 42.50/13.26  																																																		| (169)  ~ (e3 = e2)
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																		+-Applying beta-rule and splitting (1712), into two cases.
% 42.50/13.26  																																																		|-Branch one:
% 42.50/13.26  																																																		| (795) all_0_83_83 = e3
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																			| Combining equations (453,795) yields a new equation:
% 42.50/13.26  																																																			| (548) e3 = e2
% 42.50/13.26  																																																			|
% 42.50/13.26  																																																			| Equations (548) can reduce 169 to:
% 42.50/13.26  																																																			| (311) $false
% 42.50/13.26  																																																			|
% 42.50/13.26  																																																			|-The branch is then unsatisfiable
% 42.50/13.26  																																																		|-Branch two:
% 42.50/13.26  																																																		| (779)  ~ (all_0_83_83 = e3)
% 42.50/13.26  																																																		| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.50/13.26  																																																		|
% 42.50/13.26  																																																			+-Applying beta-rule and splitting (2), into two cases.
% 42.50/13.26  																																																			|-Branch one:
% 42.50/13.26  																																																			| (916) all_0_84_84 = e0
% 42.50/13.26  																																																			|
% 42.50/13.26  																																																				| Equations (916) can reduce 919 to:
% 42.50/13.26  																																																				| (311) $false
% 42.50/13.26  																																																				|
% 42.50/13.26  																																																				|-The branch is then unsatisfiable
% 42.50/13.26  																																																			|-Branch two:
% 42.50/13.26  																																																			| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.26  																																																			| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 42.50/13.26  																																																			|
% 42.50/13.26  																																																				+-Applying beta-rule and splitting (151), into two cases.
% 42.50/13.26  																																																				|-Branch one:
% 42.50/13.26  																																																				| (824) all_0_80_80 = e1
% 42.50/13.26  																																																				|
% 42.50/13.26  																																																					| Combining equations (824,433) yields a new equation:
% 42.50/13.26  																																																					| (814) e4 = e1
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																					| Equations (814) can reduce 256 to:
% 42.50/13.26  																																																					| (311) $false
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																					|-The branch is then unsatisfiable
% 42.50/13.26  																																																				|-Branch two:
% 42.50/13.26  																																																				| (828)  ~ (all_0_80_80 = e1)
% 42.50/13.26  																																																				| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.50/13.26  																																																				|
% 42.50/13.26  																																																					+-Applying beta-rule and splitting (1842), into two cases.
% 42.50/13.26  																																																					|-Branch one:
% 42.50/13.26  																																																					| (588) all_0_91_91 = e3
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																						| Equations (588) can reduce 571 to:
% 42.50/13.26  																																																						| (311) $false
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																						|-The branch is then unsatisfiable
% 42.50/13.26  																																																					|-Branch two:
% 42.50/13.26  																																																					| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.26  																																																					| (778) all_0_96_96 = e3
% 42.50/13.26  																																																					|
% 42.50/13.26  																																																						| Equations (778) can reduce 1479 to:
% 42.50/13.26  																																																						| (20)  ~ (e3 = e1)
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																						+-Applying beta-rule and splitting (920), into two cases.
% 42.50/13.26  																																																						|-Branch one:
% 42.50/13.26  																																																						| (861) all_0_87_87 = e0
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																							| Equations (861) can reduce 227 to:
% 42.50/13.26  																																																							| (906)  ~ (e3 = e0)
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																							| Simplifying 906 yields:
% 42.50/13.26  																																																							| (50)  ~ (e3 = e0)
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																							+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.26  																																																							|-Branch one:
% 42.50/13.26  																																																							| (1456) all_0_91_91 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								| Equations (1456) can reduce 959 to:
% 42.50/13.26  																																																								| (859)  ~ (e1 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Simplifying 859 yields:
% 42.50/13.26  																																																								| (264)  ~ (e1 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								+-Applying beta-rule and splitting (829), into two cases.
% 42.50/13.26  																																																								|-Branch one:
% 42.50/13.26  																																																								| (482) all_0_87_87 = e1
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									| Combining equations (861,482) yields a new equation:
% 42.50/13.26  																																																									| (865) e1 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Equations (865) can reduce 264 to:
% 42.50/13.26  																																																									| (311) $false
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									|-The branch is then unsatisfiable
% 42.50/13.26  																																																								|-Branch two:
% 42.50/13.26  																																																								| (625)  ~ (all_0_87_87 = e1)
% 42.50/13.26  																																																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									+-Applying beta-rule and splitting (835), into two cases.
% 42.50/13.26  																																																									|-Branch one:
% 42.50/13.26  																																																									| (836) all_0_92_92 = e1
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																										| Combining equations (836,882) yields a new equation:
% 42.50/13.26  																																																										| (772) e3 = e1
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Equations (772) can reduce 20 to:
% 42.50/13.26  																																																										| (311) $false
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										|-The branch is then unsatisfiable
% 42.50/13.26  																																																									|-Branch two:
% 42.50/13.26  																																																									| (840)  ~ (all_0_92_92 = e1)
% 42.50/13.26  																																																									| (542) all_0_97_97 = e1
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																										| Combining equations (538,542) yields a new equation:
% 42.50/13.26  																																																										| (408) e2 = e1
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Simplifying 408 yields:
% 42.50/13.26  																																																										| (385) e2 = e1
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										| Equations (385) can reduce 243 to:
% 42.50/13.26  																																																										| (311) $false
% 42.50/13.26  																																																										|
% 42.50/13.26  																																																										|-The branch is then unsatisfiable
% 42.50/13.26  																																																							|-Branch two:
% 42.50/13.26  																																																							| (1487)  ~ (all_0_91_91 = e0)
% 42.50/13.26  																																																							| (1837) all_0_96_96 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								| Combining equations (778,1837) yields a new equation:
% 42.50/13.26  																																																								| (599) e3 = e0
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Simplifying 599 yields:
% 42.50/13.26  																																																								| (600) e3 = e0
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Equations (600) can reduce 50 to:
% 42.50/13.26  																																																								| (311) $false
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								|-The branch is then unsatisfiable
% 42.50/13.26  																																																						|-Branch two:
% 42.50/13.26  																																																						| (889)  ~ (all_0_87_87 = e0)
% 42.50/13.26  																																																						| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 42.50/13.26  																																																						|
% 42.50/13.26  																																																							+-Applying beta-rule and splitting (382), into two cases.
% 42.50/13.26  																																																							|-Branch one:
% 42.50/13.26  																																																							| (861) all_0_87_87 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								| Equations (861) can reduce 889 to:
% 42.50/13.26  																																																								| (311) $false
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								|-The branch is then unsatisfiable
% 42.50/13.26  																																																							|-Branch two:
% 42.50/13.26  																																																							| (889)  ~ (all_0_87_87 = e0)
% 42.50/13.26  																																																							| (507) all_0_88_88 = e0
% 42.50/13.26  																																																							|
% 42.50/13.26  																																																								| Equations (507) can reduce 191 to:
% 42.50/13.26  																																																								| (906)  ~ (e3 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Simplifying 906 yields:
% 42.50/13.26  																																																								| (50)  ~ (e3 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Equations (507) can reduce 351 to:
% 42.50/13.26  																																																								| (510)  ~ (e2 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								| Simplifying 510 yields:
% 42.50/13.26  																																																								| (76)  ~ (e2 = e0)
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																								+-Applying beta-rule and splitting (931), into two cases.
% 42.50/13.26  																																																								|-Branch one:
% 42.50/13.26  																																																								| (942) all_0_92_92 = e0
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									| Combining equations (882,942) yields a new equation:
% 42.50/13.26  																																																									| (599) e3 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Simplifying 599 yields:
% 42.50/13.26  																																																									| (600) e3 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Equations (600) can reduce 50 to:
% 42.50/13.26  																																																									| (311) $false
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									|-The branch is then unsatisfiable
% 42.50/13.26  																																																								|-Branch two:
% 42.50/13.26  																																																								| (946)  ~ (all_0_92_92 = e0)
% 42.50/13.26  																																																								| (560) all_0_97_97 = e0
% 42.50/13.26  																																																								|
% 42.50/13.26  																																																									| Combining equations (538,560) yields a new equation:
% 42.50/13.26  																																																									| (923) e2 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Simplifying 923 yields:
% 42.50/13.26  																																																									| (379) e2 = e0
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									| Equations (379) can reduce 76 to:
% 42.50/13.26  																																																									| (311) $false
% 42.50/13.26  																																																									|
% 42.50/13.26  																																																									|-The branch is then unsatisfiable
% 42.50/13.26  																																																|-Branch two:
% 42.50/13.26  																																																| (426)  ~ (all_0_92_92 = e3)
% 42.50/13.26  																																																| (556) all_0_97_97 = e3
% 42.50/13.26  																																																|
% 42.50/13.26  																																																	| Combining equations (556,538) yields a new equation:
% 42.50/13.26  																																																	| (547) e3 = e2
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	| Simplifying 547 yields:
% 42.50/13.26  																																																	| (548) e3 = e2
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	| Equations (548) can reduce 169 to:
% 42.50/13.26  																																																	| (311) $false
% 42.50/13.26  																																																	|
% 42.50/13.26  																																																	|-The branch is then unsatisfiable
% 42.50/13.26  																																											|-Branch two:
% 42.50/13.26  																																											| (914)  ~ (all_0_82_82 = e0)
% 42.50/13.26  																																											| (469) all_0_82_82 = e4
% 42.50/13.26  																																											|
% 42.50/13.26  																																												| Equations (469) can reduce 465 to:
% 42.50/13.26  																																												| (311) $false
% 42.50/13.26  																																												|
% 42.50/13.26  																																												|-The branch is then unsatisfiable
% 42.50/13.26  																																						|-Branch two:
% 42.50/13.26  																																						| (648)  ~ (all_0_85_85 = e4)
% 42.50/13.26  																																						| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 42.50/13.26  																																						|
% 42.50/13.26  																																							+-Applying beta-rule and splitting (2576), into two cases.
% 42.50/13.26  																																							|-Branch one:
% 42.50/13.26  																																							| (607) all_0_93_93 = e4
% 42.50/13.26  																																							|
% 42.50/13.26  																																								| Equations (607) can reduce 496 to:
% 42.50/13.26  																																								| (311) $false
% 42.50/13.26  																																								|
% 42.50/13.26  																																								|-The branch is then unsatisfiable
% 42.50/13.26  																																							|-Branch two:
% 42.50/13.26  																																							| (496)  ~ (all_0_93_93 = e4)
% 42.50/13.26  																																							| (2650) all_0_98_98 = e4
% 42.50/13.26  																																							|
% 42.50/13.26  																																								| Equations (2650) can reduce 321 to:
% 42.50/13.26  																																								| (311) $false
% 42.50/13.26  																																								|
% 42.50/13.26  																																								|-The branch is then unsatisfiable
% 42.50/13.26  																																				|-Branch two:
% 42.50/13.26  																																				| (467)  ~ (all_0_90_90 = e4)
% 42.50/13.26  																																				| (894) all_0_95_95 = e4
% 42.50/13.26  																																				|
% 42.50/13.26  																																					| Equations (894) can reduce 315 to:
% 42.50/13.26  																																					| (311) $false
% 42.50/13.26  																																					|
% 42.50/13.26  																																					|-The branch is then unsatisfiable
% 42.50/13.26  																															|-Branch two:
% 42.50/13.26  																															| (527)  ~ (all_0_97_97 = e2)
% 42.50/13.26  																															| (525) all_0_98_98 = e2
% 42.50/13.26  																															|
% 42.50/13.26  																																| Equations (525) can reduce 1349 to:
% 42.50/13.26  																																| (311) $false
% 42.50/13.26  																																|
% 42.50/13.26  																																|-The branch is then unsatisfiable
% 42.50/13.26  																											|-Branch two:
% 42.50/13.26  																											| (396)  ~ (all_0_81_81 = e2)
% 42.50/13.26  																											| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 42.50/13.26  																											|
% 42.50/13.26  																												+-Applying beta-rule and splitting (551), into two cases.
% 42.50/13.26  																												|-Branch one:
% 42.50/13.26  																												| (552) all_0_84_84 = e2
% 42.50/13.26  																												|
% 42.50/13.27  																													| Equations (552) can reduce 612 to:
% 42.50/13.27  																													| (311) $false
% 42.50/13.27  																													|
% 42.50/13.27  																													|-The branch is then unsatisfiable
% 42.50/13.27  																												|-Branch two:
% 42.50/13.27  																												| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.27  																												| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 42.50/13.27  																												|
% 42.50/13.27  																													+-Applying beta-rule and splitting (613), into two cases.
% 42.50/13.27  																													|-Branch one:
% 42.50/13.27  																													| (374) all_0_87_87 = e2
% 42.50/13.27  																													|
% 42.50/13.27  																														| Equations (374) can reduce 349 to:
% 42.50/13.27  																														| (311) $false
% 42.50/13.27  																														|
% 42.50/13.27  																														|-The branch is then unsatisfiable
% 42.50/13.27  																													|-Branch two:
% 42.50/13.27  																													| (349)  ~ (all_0_87_87 = e2)
% 42.50/13.27  																													| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 42.50/13.27  																													|
% 42.50/13.27  																														+-Applying beta-rule and splitting (1342), into two cases.
% 42.50/13.27  																														|-Branch one:
% 42.50/13.27  																														| (1343) all_0_92_92 = e2
% 42.50/13.27  																														|
% 42.50/13.27  																															| Equations (1343) can reduce 298 to:
% 42.50/13.27  																															| (311) $false
% 42.50/13.27  																															|
% 42.50/13.27  																															|-The branch is then unsatisfiable
% 42.50/13.27  																														|-Branch two:
% 42.50/13.27  																														| (298)  ~ (all_0_92_92 = e2)
% 42.50/13.27  																														| (538) all_0_97_97 = e2
% 42.50/13.27  																														|
% 42.50/13.27  																															| Equations (538) can reduce 148 to:
% 42.50/13.27  																															| (1348)  ~ (all_0_98_98 = e2)
% 42.50/13.27  																															|
% 42.50/13.27  																															| Simplifying 1348 yields:
% 42.50/13.27  																															| (1349)  ~ (all_0_98_98 = e2)
% 42.50/13.27  																															|
% 42.50/13.27  																															+-Applying beta-rule and splitting (205), into two cases.
% 42.50/13.27  																															|-Branch one:
% 42.50/13.27  																															| (473) all_0_81_81 = e2
% 42.50/13.27  																															|
% 42.50/13.27  																																| Equations (473) can reduce 396 to:
% 42.50/13.27  																																| (311) $false
% 42.50/13.27  																																|
% 42.50/13.27  																																|-The branch is then unsatisfiable
% 42.50/13.27  																															|-Branch two:
% 42.50/13.27  																															| (396)  ~ (all_0_81_81 = e2)
% 42.50/13.27  																															| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.27  																															|
% 42.50/13.27  																																+-Applying beta-rule and splitting (503), into two cases.
% 42.50/13.27  																																|-Branch one:
% 42.50/13.27  																																| (512) all_0_85_85 = e2
% 42.50/13.27  																																|
% 42.50/13.27  																																	| Equations (512) can reduce 515 to:
% 42.50/13.27  																																	| (311) $false
% 42.50/13.27  																																	|
% 42.50/13.27  																																	|-The branch is then unsatisfiable
% 42.50/13.27  																																|-Branch two:
% 42.50/13.27  																																| (515)  ~ (all_0_85_85 = e2)
% 42.50/13.27  																																| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.27  																																|
% 42.50/13.27  																																	+-Applying beta-rule and splitting (516), into two cases.
% 42.50/13.27  																																	|-Branch one:
% 42.50/13.27  																																	| (370) all_0_88_88 = e2
% 42.50/13.27  																																	|
% 42.50/13.27  																																		| Equations (370) can reduce 351 to:
% 42.50/13.27  																																		| (311) $false
% 42.50/13.27  																																		|
% 42.50/13.27  																																		|-The branch is then unsatisfiable
% 42.50/13.27  																																	|-Branch two:
% 42.50/13.27  																																	| (351)  ~ (all_0_88_88 = e2)
% 42.50/13.27  																																	| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.27  																																	|
% 42.50/13.27  																																		+-Applying beta-rule and splitting (521), into two cases.
% 42.50/13.27  																																		|-Branch one:
% 42.50/13.27  																																		| (522) all_0_93_93 = e2
% 42.50/13.27  																																		|
% 42.50/13.27  																																			| Equations (522) can reduce 300 to:
% 42.50/13.27  																																			| (311) $false
% 42.50/13.27  																																			|
% 42.50/13.27  																																			|-The branch is then unsatisfiable
% 42.50/13.27  																																		|-Branch two:
% 42.50/13.27  																																		| (300)  ~ (all_0_93_93 = e2)
% 42.50/13.27  																																		| (525) all_0_98_98 = e2
% 42.50/13.27  																																		|
% 42.50/13.27  																																			| Equations (525) can reduce 1349 to:
% 42.50/13.27  																																			| (311) $false
% 42.50/13.27  																																			|
% 42.50/13.27  																																			|-The branch is then unsatisfiable
% 42.50/13.27  																						|-Branch two:
% 42.50/13.27  																						| (418)  ~ (all_0_78_78 = e3)
% 42.50/13.27  																						| (463) all_0_78_78 = e4
% 42.50/13.27  																						|
% 42.50/13.27  																							| Equations (463) can reduce 640 to:
% 42.50/13.27  																							| (311) $false
% 42.50/13.27  																							|
% 42.50/13.27  																							|-The branch is then unsatisfiable
% 42.50/13.27  													|-Branch two:
% 42.50/13.27  													| (461)  ~ (all_0_79_79 = e1)
% 42.50/13.27  													| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 42.50/13.27  													|
% 42.50/13.27  														+-Applying beta-rule and splitting (403), into two cases.
% 42.50/13.27  														|-Branch one:
% 42.50/13.27  														| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 42.50/13.27  														|
% 42.50/13.27  															+-Applying beta-rule and splitting (404), into two cases.
% 42.50/13.27  															|-Branch one:
% 42.50/13.27  															| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 42.50/13.27  															|
% 42.50/13.27  																| Applying alpha-rule on (405) yields:
% 42.50/13.27  																| (406) all_0_39_39 = e1
% 42.50/13.27  																| (407)  ~ (all_0_40_40 = e4)
% 42.50/13.27  																|
% 42.50/13.27  																| Combining equations (331,406) yields a new equation:
% 42.50/13.27  																| (8040) all_0_79_79 = e1
% 42.50/13.27  																|
% 42.50/13.27  																| Simplifying 8040 yields:
% 42.50/13.27  																| (457) all_0_79_79 = e1
% 42.50/13.27  																|
% 42.50/13.27  																| Equations (457) can reduce 461 to:
% 42.50/13.27  																| (311) $false
% 42.50/13.27  																|
% 42.50/13.27  																|-The branch is then unsatisfiable
% 42.50/13.27  															|-Branch two:
% 42.50/13.27  															| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 42.50/13.27  															|
% 42.50/13.27  																| Applying alpha-rule on (411) yields:
% 42.50/13.27  																| (337) all_0_41_41 = e0
% 42.50/13.27  																| (413)  ~ (all_0_42_42 = e4)
% 42.50/13.27  																|
% 42.50/13.27  																| Equations (336) can reduce 413 to:
% 42.50/13.27  																| (311) $false
% 42.50/13.27  																|
% 42.50/13.27  																|-The branch is then unsatisfiable
% 42.50/13.27  														|-Branch two:
% 42.50/13.27  														| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 42.50/13.27  														|
% 42.50/13.27  															| Applying alpha-rule on (415) yields:
% 42.50/13.27  															| (416) all_0_80_80 = e3
% 42.50/13.27  															| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.27  															|
% 42.50/13.27  															| Equations (416) can reduce 63 to:
% 42.50/13.27  															| (1711)  ~ (all_0_79_79 = e3)
% 42.50/13.27  															|
% 42.50/13.27  															+-Applying beta-rule and splitting (1623), into two cases.
% 42.50/13.27  															|-Branch one:
% 42.50/13.27  															| (457) all_0_79_79 = e1
% 42.50/13.27  															|
% 42.50/13.27  																| Equations (457) can reduce 461 to:
% 42.50/13.27  																| (311) $false
% 42.50/13.27  																|
% 42.50/13.27  																|-The branch is then unsatisfiable
% 42.50/13.27  															|-Branch two:
% 42.50/13.27  															| (461)  ~ (all_0_79_79 = e1)
% 42.50/13.27  															| (1708) all_0_79_79 = e3
% 42.50/13.27  															|
% 42.50/13.27  																| Equations (1708) can reduce 1711 to:
% 42.50/13.27  																| (311) $false
% 42.50/13.27  																|
% 42.50/13.27  																|-The branch is then unsatisfiable
% 42.50/13.27  									|-Branch two:
% 42.50/13.27  									| (398)  ~ (all_0_83_83 = e2)
% 42.50/13.27  									| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 42.50/13.27  									|
% 42.50/13.27  										+-Applying beta-rule and splitting (1627), into two cases.
% 42.50/13.27  										|-Branch one:
% 42.50/13.27  										| (453) all_0_83_83 = e2
% 42.50/13.27  										|
% 42.50/13.27  											| Equations (453) can reduce 398 to:
% 42.50/13.27  											| (311) $false
% 42.50/13.27  											|
% 42.50/13.27  											|-The branch is then unsatisfiable
% 42.50/13.27  										|-Branch two:
% 42.50/13.27  										| (398)  ~ (all_0_83_83 = e2)
% 42.50/13.27  										| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 42.50/13.27  										|
% 42.50/13.27  											+-Applying beta-rule and splitting (8061), into two cases.
% 42.50/13.27  											|-Branch one:
% 42.50/13.27  											| (1723) all_0_91_91 = e2
% 42.50/13.27  											|
% 42.50/13.27  												| Equations (1723) can reduce 296 to:
% 42.50/13.27  												| (311) $false
% 42.50/13.27  												|
% 42.50/13.27  												|-The branch is then unsatisfiable
% 42.50/13.27  											|-Branch two:
% 42.50/13.27  											| (296)  ~ (all_0_91_91 = e2)
% 42.50/13.27  											| (1704) all_0_96_96 = e2
% 42.50/13.27  											|
% 42.50/13.27  												| Equations (1704) can reduce 214 to:
% 42.50/13.27  												| (1622)  ~ (all_0_79_79 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Equations (1704) can reduce 211 to:
% 42.50/13.27  												| (398)  ~ (all_0_83_83 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Equations (1704) can reduce 279 to:
% 42.50/13.27  												| (355)  ~ (all_0_95_95 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Equations (1704) can reduce 43 to:
% 42.50/13.27  												| (1348)  ~ (all_0_98_98 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Simplifying 1348 yields:
% 42.50/13.27  												| (1349)  ~ (all_0_98_98 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Equations (1704) can reduce 115 to:
% 42.50/13.27  												| (528)  ~ (e4 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| Simplifying 528 yields:
% 42.50/13.27  												| (79)  ~ (e4 = e2)
% 42.50/13.27  												|
% 42.50/13.27  												| From (1704) and (58) follows:
% 42.50/13.27  												| (8073) op(e2, e2) = all_0_35_35
% 42.50/13.27  												|
% 42.50/13.27  												| From (1704) and (88) follows:
% 42.50/13.27  												| (8074) op(e2, e0) = all_0_34_34
% 42.50/13.27  												|
% 42.50/13.27  												| From (1704) and (212) follows:
% 42.50/13.27  												| (8075) op(e2, e2) = all_0_58_58
% 42.50/13.27  												|
% 42.50/13.27  												| From (1704) and (268) follows:
% 42.50/13.27  												| (8076) op(e0, e2) = all_0_59_59
% 42.50/13.27  												|
% 42.50/13.27  												| From (1704) and (59) follows:
% 42.50/13.27  												| (8077) op(e0, e2) = e2
% 42.50/13.27  												|
% 42.50/13.27  												| Instantiating formula (262) with e2, e2, all_0_35_35, e4 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = e4, yields:
% 42.50/13.27  												| (8078) all_0_35_35 = e4
% 42.50/13.27  												|
% 42.50/13.27  												| Instantiating formula (262) with e2, e2, all_0_58_58, all_0_35_35 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = all_0_58_58, yields:
% 42.50/13.27  												| (8079) all_0_35_35 = all_0_58_58
% 42.50/13.27  												|
% 42.50/13.27  												| Instantiating formula (262) with e2, e0, all_0_34_34, all_0_88_88 and discharging atoms op(e2, e0) = all_0_34_34, op(e2, e0) = all_0_88_88, yields:
% 42.50/13.27  												| (8080) all_0_34_34 = all_0_88_88
% 42.50/13.27  												|
% 42.50/13.27  												| Instantiating formula (262) with e0, e2, e2, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = e2, yields:
% 42.50/13.27  												| (5799) all_0_59_59 = e2
% 42.50/13.27  												|
% 42.50/13.27  												| Combining equations (8078,8079) yields a new equation:
% 42.50/13.27  												| (8082) all_0_58_58 = e4
% 42.50/13.27  												|
% 42.50/13.27  												| From (8080) and (8074) follows:
% 42.50/13.27  												| (230) op(e2, e0) = all_0_88_88
% 42.50/13.27  												|
% 42.50/13.27  												| From (5799) and (8076) follows:
% 42.50/13.27  												| (8077) op(e0, e2) = e2
% 42.50/13.27  												|
% 42.50/13.27  												+-Applying beta-rule and splitting (219), into two cases.
% 42.50/13.27  												|-Branch one:
% 42.50/13.27  												| (798) all_0_83_83 = e0
% 42.50/13.27  												|
% 42.50/13.27  													| Equations (798) can reduce 223 to:
% 42.50/13.27  													| (2207)  ~ (all_0_84_84 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| Simplifying 2207 yields:
% 42.50/13.27  													| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| Equations (798) can reduce 155 to:
% 42.50/13.27  													| (904)  ~ (e4 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| Simplifying 904 yields:
% 42.50/13.27  													| (23)  ~ (e4 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| Equations (798) can reduce 398 to:
% 42.50/13.27  													| (510)  ~ (e2 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| Simplifying 510 yields:
% 42.50/13.27  													| (76)  ~ (e2 = e0)
% 42.50/13.27  													|
% 42.50/13.27  													| From (798) and (206) follows:
% 42.50/13.27  													| (8092) op(e2, e0) = all_0_54_54
% 42.50/13.27  													|
% 42.50/13.27  													| Instantiating formula (262) with e2, e0, all_0_54_54, all_0_88_88 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = all_0_88_88, yields:
% 42.50/13.27  													| (8093) all_0_54_54 = all_0_88_88
% 42.50/13.27  													|
% 42.50/13.27  													+-Applying beta-rule and splitting (127), into two cases.
% 42.50/13.27  													|-Branch one:
% 42.50/13.27  													| (457) all_0_79_79 = e1
% 42.50/13.27  													|
% 42.50/13.28  														| Equations (457) can reduce 1622 to:
% 42.50/13.28  														| (487)  ~ (e2 = e1)
% 42.50/13.28  														|
% 42.50/13.28  														| Simplifying 487 yields:
% 42.50/13.28  														| (243)  ~ (e2 = e1)
% 42.50/13.28  														|
% 42.50/13.28  														| From (457) and (184) follows:
% 42.50/13.28  														| (1679) op(e2, e1) = all_0_52_52
% 42.50/13.28  														|
% 42.50/13.28  														+-Applying beta-rule and splitting (285), into two cases.
% 42.50/13.28  														|-Branch one:
% 42.50/13.28  														| (1708) all_0_79_79 = e3
% 42.50/13.28  														|
% 42.50/13.28  															| Combining equations (457,1708) yields a new equation:
% 42.50/13.28  															| (772) e3 = e1
% 42.50/13.28  															|
% 42.50/13.28  															| Equations (772) can reduce 20 to:
% 42.50/13.28  															| (311) $false
% 42.50/13.28  															|
% 42.50/13.28  															|-The branch is then unsatisfiable
% 42.50/13.28  														|-Branch two:
% 42.50/13.28  														| (1711)  ~ (all_0_79_79 = e3)
% 42.50/13.28  														| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 42.50/13.28  														|
% 42.50/13.28  															+-Applying beta-rule and splitting (1712), into two cases.
% 42.50/13.28  															|-Branch one:
% 42.50/13.28  															| (795) all_0_83_83 = e3
% 42.50/13.28  															|
% 42.50/13.28  																| Combining equations (798,795) yields a new equation:
% 42.50/13.28  																| (600) e3 = e0
% 42.50/13.28  																|
% 42.50/13.28  																| Equations (600) can reduce 50 to:
% 42.50/13.28  																| (311) $false
% 42.50/13.28  																|
% 42.50/13.28  																|-The branch is then unsatisfiable
% 42.50/13.28  															|-Branch two:
% 42.50/13.28  															| (779)  ~ (all_0_83_83 = e3)
% 42.50/13.28  															| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.50/13.28  															|
% 42.50/13.28  																+-Applying beta-rule and splitting (1842), into two cases.
% 42.50/13.28  																|-Branch one:
% 42.50/13.28  																| (588) all_0_91_91 = e3
% 42.50/13.28  																|
% 42.50/13.28  																	| From (588) and (222) follows:
% 42.50/13.28  																	| (8109) op(e2, e3) = all_0_56_56
% 42.50/13.28  																	|
% 42.50/13.28  																	| Instantiating formula (262) with e2, e3, all_0_56_56, e2 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e2, yields:
% 42.50/13.28  																	| (8110) all_0_56_56 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																	| Instantiating formula (262) with e2, e1, all_0_52_52, all_0_87_87 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = all_0_87_87, yields:
% 42.50/13.28  																	| (1680) all_0_52_52 = all_0_87_87
% 42.50/13.28  																	|
% 42.50/13.28  																	+-Applying beta-rule and splitting (33), into two cases.
% 42.50/13.28  																	|-Branch one:
% 42.50/13.28  																	| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 42.50/13.28  																	|
% 42.50/13.28  																		+-Applying beta-rule and splitting (1686), into two cases.
% 42.50/13.28  																		|-Branch one:
% 42.50/13.28  																		| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 42.50/13.28  																		|
% 42.50/13.28  																			+-Applying beta-rule and splitting (1687), into two cases.
% 42.50/13.28  																			|-Branch one:
% 42.50/13.28  																			| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 42.50/13.28  																			|
% 42.50/13.28  																				| Applying alpha-rule on (1688) yields:
% 42.50/13.28  																				| (1689) all_0_52_52 = e4
% 42.50/13.28  																				| (1690)  ~ (all_0_53_53 = e2)
% 42.50/13.28  																				|
% 42.50/13.28  																				| Combining equations (1680,1689) yields a new equation:
% 42.50/13.28  																				| (1691) all_0_87_87 = e4
% 42.50/13.28  																				|
% 42.50/13.28  																				| Simplifying 1691 yields:
% 42.50/13.28  																				| (1692) all_0_87_87 = e4
% 42.50/13.28  																				|
% 42.50/13.28  																				| Equations (1692) can reduce 216 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																			|-Branch two:
% 42.50/13.28  																			| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 42.50/13.28  																			|
% 42.50/13.28  																				| Applying alpha-rule on (1694) yields:
% 42.50/13.28  																				| (1695) all_0_54_54 = e3
% 42.50/13.28  																				| (1696)  ~ (all_0_55_55 = e2)
% 42.50/13.28  																				|
% 42.50/13.28  																				| Combining equations (1695,8093) yields a new equation:
% 42.50/13.28  																				| (8123) all_0_88_88 = e3
% 42.50/13.28  																				|
% 42.50/13.28  																				| Equations (8123) can reduce 191 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																		|-Branch two:
% 42.50/13.28  																		| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 42.50/13.28  																		|
% 42.50/13.28  																			| Applying alpha-rule on (1700) yields:
% 42.50/13.28  																			| (1701) all_0_56_56 = e1
% 42.50/13.28  																			| (1702)  ~ (all_0_57_57 = e2)
% 42.50/13.28  																			|
% 42.50/13.28  																			| Combining equations (8110,1701) yields a new equation:
% 42.50/13.28  																			| (408) e2 = e1
% 42.50/13.28  																			|
% 42.50/13.28  																			| Simplifying 408 yields:
% 42.50/13.28  																			| (385) e2 = e1
% 42.50/13.28  																			|
% 42.50/13.28  																			| Equations (385) can reduce 243 to:
% 42.50/13.28  																			| (311) $false
% 42.50/13.28  																			|
% 42.50/13.28  																			|-The branch is then unsatisfiable
% 42.50/13.28  																	|-Branch two:
% 42.50/13.28  																	| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 42.50/13.28  																	|
% 42.50/13.28  																		| Applying alpha-rule on (4957) yields:
% 42.50/13.28  																		| (4958) all_0_58_58 = e0
% 42.50/13.28  																		| (4959)  ~ (all_0_59_59 = e2)
% 42.50/13.28  																		|
% 42.50/13.28  																		| Combining equations (8082,4958) yields a new equation:
% 42.50/13.28  																		| (911) e4 = e0
% 42.50/13.28  																		|
% 42.50/13.28  																		| Simplifying 911 yields:
% 42.50/13.28  																		| (912) e4 = e0
% 42.50/13.28  																		|
% 42.50/13.28  																		| Equations (912) can reduce 23 to:
% 42.50/13.28  																		| (311) $false
% 42.50/13.28  																		|
% 42.50/13.28  																		|-The branch is then unsatisfiable
% 42.50/13.28  																|-Branch two:
% 42.50/13.28  																| (571)  ~ (all_0_91_91 = e3)
% 42.50/13.28  																| (778) all_0_96_96 = e3
% 42.50/13.28  																|
% 42.50/13.28  																	| Combining equations (778,1704) yields a new equation:
% 42.50/13.28  																	| (547) e3 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																	| Simplifying 547 yields:
% 42.50/13.28  																	| (548) e3 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																	| Equations (548) can reduce 169 to:
% 42.50/13.28  																	| (311) $false
% 42.50/13.28  																	|
% 42.50/13.28  																	|-The branch is then unsatisfiable
% 42.50/13.28  													|-Branch two:
% 42.50/13.28  													| (461)  ~ (all_0_79_79 = e1)
% 42.50/13.28  													| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 42.50/13.28  													|
% 42.50/13.28  														+-Applying beta-rule and splitting (70), into two cases.
% 42.50/13.28  														|-Branch one:
% 42.50/13.28  														| (400) all_0_78_78 = e2
% 42.50/13.28  														|
% 42.50/13.28  															| Equations (400) can reduce 346 to:
% 42.50/13.28  															| (311) $false
% 42.50/13.28  															|
% 42.50/13.28  															|-The branch is then unsatisfiable
% 42.50/13.28  														|-Branch two:
% 42.50/13.28  														| (346)  ~ (all_0_78_78 = e2)
% 42.50/13.28  														| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 42.50/13.28  														|
% 42.50/13.28  															+-Applying beta-rule and splitting (403), into two cases.
% 42.50/13.28  															|-Branch one:
% 42.50/13.28  															| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 42.50/13.28  															|
% 42.50/13.28  																+-Applying beta-rule and splitting (404), into two cases.
% 42.50/13.28  																|-Branch one:
% 42.50/13.28  																| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 42.50/13.28  																|
% 42.50/13.28  																	| Applying alpha-rule on (405) yields:
% 42.50/13.28  																	| (406) all_0_39_39 = e1
% 42.50/13.28  																	| (407)  ~ (all_0_40_40 = e4)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Combining equations (406,331) yields a new equation:
% 42.50/13.28  																	| (457) all_0_79_79 = e1
% 42.50/13.28  																	|
% 42.50/13.28  																	| Equations (457) can reduce 461 to:
% 42.50/13.28  																	| (311) $false
% 42.50/13.28  																	|
% 42.50/13.28  																	|-The branch is then unsatisfiable
% 42.50/13.28  																|-Branch two:
% 42.50/13.28  																| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 42.50/13.28  																|
% 42.50/13.28  																	| Applying alpha-rule on (411) yields:
% 42.50/13.28  																	| (337) all_0_41_41 = e0
% 42.50/13.28  																	| (413)  ~ (all_0_42_42 = e4)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Equations (336) can reduce 413 to:
% 42.50/13.28  																	| (311) $false
% 42.50/13.28  																	|
% 42.50/13.28  																	|-The branch is then unsatisfiable
% 42.50/13.28  															|-Branch two:
% 42.50/13.28  															| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 42.50/13.28  															|
% 42.50/13.28  																| Applying alpha-rule on (415) yields:
% 42.50/13.28  																| (416) all_0_80_80 = e3
% 42.50/13.28  																| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.28  																|
% 42.50/13.28  																| Equations (416) can reduce 273 to:
% 42.50/13.28  																| (421)  ~ (all_0_84_84 = e3)
% 42.50/13.28  																|
% 42.50/13.28  																| Simplifying 421 yields:
% 42.50/13.28  																| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.28  																|
% 42.50/13.28  																+-Applying beta-rule and splitting (92), into two cases.
% 42.50/13.28  																|-Branch one:
% 42.50/13.28  																| (552) all_0_84_84 = e2
% 42.50/13.28  																|
% 42.50/13.28  																	| Equations (552) can reduce 154 to:
% 42.50/13.28  																	| (691)  ~ (all_0_85_85 = e2)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Simplifying 691 yields:
% 42.50/13.28  																	| (515)  ~ (all_0_85_85 = e2)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Equations (552) can reduce 417 to:
% 42.50/13.28  																	| (528)  ~ (e4 = e2)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Simplifying 528 yields:
% 42.50/13.28  																	| (79)  ~ (e4 = e2)
% 42.50/13.28  																	|
% 42.50/13.28  																	| Equations (552) can reduce 259 to:
% 42.50/13.28  																	| (243)  ~ (e2 = e1)
% 42.50/13.28  																	|
% 42.50/13.28  																	+-Applying beta-rule and splitting (205), into two cases.
% 42.50/13.28  																	|-Branch one:
% 42.50/13.28  																	| (473) all_0_81_81 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																		+-Applying beta-rule and splitting (56), into two cases.
% 42.50/13.28  																		|-Branch one:
% 42.50/13.28  																		| (463) all_0_78_78 = e4
% 42.50/13.28  																		|
% 42.50/13.28  																			+-Applying beta-rule and splitting (129), into two cases.
% 42.50/13.28  																			|-Branch one:
% 42.50/13.28  																			| (676) all_0_78_78 = e1
% 42.50/13.28  																			|
% 42.50/13.28  																				| Combining equations (463,676) yields a new equation:
% 42.50/13.28  																				| (813) e4 = e1
% 42.50/13.28  																				|
% 42.50/13.28  																				| Simplifying 813 yields:
% 42.50/13.28  																				| (814) e4 = e1
% 42.50/13.28  																				|
% 42.50/13.28  																				| Equations (814) can reduce 256 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																			|-Branch two:
% 42.50/13.28  																			| (1601)  ~ (all_0_78_78 = e1)
% 42.50/13.28  																			| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 42.50/13.28  																			|
% 42.50/13.28  																				+-Applying beta-rule and splitting (1602), into two cases.
% 42.50/13.28  																				|-Branch one:
% 42.50/13.28  																				| (457) all_0_79_79 = e1
% 42.50/13.28  																				|
% 42.50/13.28  																					| Equations (457) can reduce 461 to:
% 42.50/13.28  																					| (311) $false
% 42.50/13.28  																					|
% 42.50/13.28  																					|-The branch is then unsatisfiable
% 42.50/13.28  																				|-Branch two:
% 42.50/13.28  																				| (461)  ~ (all_0_79_79 = e1)
% 42.50/13.28  																				| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 42.50/13.28  																				|
% 42.50/13.28  																					+-Applying beta-rule and splitting (8180), into two cases.
% 42.50/13.28  																					|-Branch one:
% 42.50/13.28  																					| (824) all_0_80_80 = e1
% 42.50/13.28  																					|
% 42.50/13.28  																						| Combining equations (416,824) yields a new equation:
% 42.50/13.28  																						| (825) e3 = e1
% 42.50/13.28  																						|
% 42.50/13.28  																						| Simplifying 825 yields:
% 42.50/13.28  																						| (772) e3 = e1
% 42.50/13.28  																						|
% 42.50/13.28  																						| Equations (772) can reduce 20 to:
% 42.50/13.28  																						| (311) $false
% 42.50/13.28  																						|
% 42.50/13.28  																						|-The branch is then unsatisfiable
% 42.50/13.28  																					|-Branch two:
% 42.50/13.28  																					| (828)  ~ (all_0_80_80 = e1)
% 42.50/13.28  																					| (477) all_0_81_81 = e1
% 42.50/13.28  																					|
% 42.50/13.28  																						| Combining equations (473,477) yields a new equation:
% 42.50/13.28  																						| (408) e2 = e1
% 42.50/13.28  																						|
% 42.50/13.28  																						| Simplifying 408 yields:
% 42.50/13.28  																						| (385) e2 = e1
% 42.50/13.28  																						|
% 42.50/13.28  																						| Equations (385) can reduce 243 to:
% 42.50/13.28  																						| (311) $false
% 42.50/13.28  																						|
% 42.50/13.28  																						|-The branch is then unsatisfiable
% 42.50/13.28  																		|-Branch two:
% 42.50/13.28  																		| (640)  ~ (all_0_78_78 = e4)
% 42.50/13.28  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 42.50/13.28  																		|
% 42.50/13.28  																			+-Applying beta-rule and splitting (641), into two cases.
% 42.50/13.28  																			|-Branch one:
% 42.50/13.28  																			| (433) all_0_80_80 = e4
% 42.50/13.28  																			|
% 42.50/13.28  																				| Combining equations (416,433) yields a new equation:
% 42.50/13.28  																				| (434) e4 = e3
% 42.50/13.28  																				|
% 42.50/13.28  																				| Equations (434) can reduce 177 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																			|-Branch two:
% 42.50/13.28  																			| (436)  ~ (all_0_80_80 = e4)
% 42.50/13.28  																			| (638) all_0_81_81 = e4
% 42.50/13.28  																			|
% 42.50/13.28  																				| Combining equations (473,638) yields a new equation:
% 42.50/13.28  																				| (310) e4 = e2
% 42.50/13.28  																				|
% 42.50/13.28  																				| Equations (310) can reduce 79 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																	|-Branch two:
% 42.50/13.28  																	| (396)  ~ (all_0_81_81 = e2)
% 42.50/13.28  																	| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																		+-Applying beta-rule and splitting (503), into two cases.
% 42.50/13.28  																		|-Branch one:
% 42.50/13.28  																		| (512) all_0_85_85 = e2
% 42.50/13.28  																		|
% 42.50/13.28  																			| Equations (512) can reduce 515 to:
% 42.50/13.28  																			| (311) $false
% 42.50/13.28  																			|
% 42.50/13.28  																			|-The branch is then unsatisfiable
% 42.50/13.28  																		|-Branch two:
% 42.50/13.28  																		| (515)  ~ (all_0_85_85 = e2)
% 42.50/13.28  																		| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.28  																		|
% 42.50/13.28  																			+-Applying beta-rule and splitting (516), into two cases.
% 42.50/13.28  																			|-Branch one:
% 42.50/13.28  																			| (370) all_0_88_88 = e2
% 42.50/13.28  																			|
% 42.50/13.28  																				| Equations (370) can reduce 351 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																			|-Branch two:
% 42.50/13.28  																			| (351)  ~ (all_0_88_88 = e2)
% 42.50/13.28  																			| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 42.50/13.28  																			|
% 42.50/13.28  																				+-Applying beta-rule and splitting (521), into two cases.
% 42.50/13.28  																				|-Branch one:
% 42.50/13.28  																				| (522) all_0_93_93 = e2
% 42.50/13.28  																				|
% 42.50/13.28  																					| Equations (522) can reduce 300 to:
% 42.50/13.28  																					| (311) $false
% 42.50/13.28  																					|
% 42.50/13.28  																					|-The branch is then unsatisfiable
% 42.50/13.28  																				|-Branch two:
% 42.50/13.28  																				| (300)  ~ (all_0_93_93 = e2)
% 42.50/13.28  																				| (525) all_0_98_98 = e2
% 42.50/13.28  																				|
% 42.50/13.28  																					| Equations (525) can reduce 1349 to:
% 42.50/13.28  																					| (311) $false
% 42.50/13.28  																					|
% 42.50/13.28  																					|-The branch is then unsatisfiable
% 42.50/13.28  																|-Branch two:
% 42.50/13.28  																| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.28  																| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.50/13.28  																|
% 42.50/13.28  																	+-Applying beta-rule and splitting (41), into two cases.
% 42.50/13.28  																	|-Branch one:
% 42.50/13.28  																	| (530) all_0_82_82 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																		| Equations (530) can reduce 347 to:
% 42.50/13.28  																		| (311) $false
% 42.50/13.28  																		|
% 42.50/13.28  																		|-The branch is then unsatisfiable
% 42.50/13.28  																	|-Branch two:
% 42.50/13.28  																	| (347)  ~ (all_0_82_82 = e2)
% 42.50/13.28  																	| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 42.50/13.28  																	|
% 42.50/13.28  																		+-Applying beta-rule and splitting (533), into two cases.
% 42.50/13.28  																		|-Branch one:
% 42.50/13.28  																		| (453) all_0_83_83 = e2
% 42.50/13.28  																		|
% 42.50/13.28  																			| Combining equations (798,453) yields a new equation:
% 42.50/13.28  																			| (379) e2 = e0
% 42.50/13.28  																			|
% 42.50/13.28  																			| Equations (379) can reduce 76 to:
% 42.50/13.28  																			| (311) $false
% 42.50/13.28  																			|
% 42.50/13.28  																			|-The branch is then unsatisfiable
% 42.50/13.28  																		|-Branch two:
% 42.50/13.28  																		| (398)  ~ (all_0_83_83 = e2)
% 42.50/13.28  																		| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 42.50/13.28  																		|
% 42.50/13.28  																			+-Applying beta-rule and splitting (537), into two cases.
% 42.50/13.28  																			|-Branch one:
% 42.50/13.28  																			| (552) all_0_84_84 = e2
% 42.50/13.28  																			|
% 42.50/13.28  																				| Equations (552) can reduce 612 to:
% 42.50/13.28  																				| (311) $false
% 42.50/13.28  																				|
% 42.50/13.28  																				|-The branch is then unsatisfiable
% 42.50/13.28  																			|-Branch two:
% 42.50/13.28  																			| (612)  ~ (all_0_84_84 = e2)
% 42.50/13.28  																			| (512) all_0_85_85 = e2
% 42.50/13.28  																			|
% 42.50/13.28  																				+-Applying beta-rule and splitting (109), into two cases.
% 42.50/13.28  																				|-Branch one:
% 42.50/13.28  																				| (469) all_0_82_82 = e4
% 42.50/13.28  																				|
% 42.50/13.28  																					| Equations (469) can reduce 7 to:
% 42.50/13.28  																					| (662)  ~ (all_0_84_84 = e4)
% 42.50/13.28  																					|
% 42.50/13.28  																					| Simplifying 662 yields:
% 42.50/13.28  																					| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.28  																					|
% 42.50/13.28  																					+-Applying beta-rule and splitting (617), into two cases.
% 42.50/13.28  																					|-Branch one:
% 42.50/13.28  																					| (1265) all_0_84_84 = e3
% 42.50/13.28  																					|
% 42.50/13.28  																						| Equations (1265) can reduce 422 to:
% 42.50/13.28  																						| (311) $false
% 42.50/13.28  																						|
% 42.50/13.28  																						|-The branch is then unsatisfiable
% 42.50/13.28  																					|-Branch two:
% 42.50/13.28  																					| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.28  																					| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.50/13.28  																					|
% 42.50/13.28  																						+-Applying beta-rule and splitting (1268), into two cases.
% 42.50/13.28  																						|-Branch one:
% 42.50/13.28  																						| (916) all_0_84_84 = e0
% 42.50/13.28  																						|
% 42.50/13.28  																							| Equations (916) can reduce 919 to:
% 42.50/13.28  																							| (311) $false
% 42.50/13.28  																							|
% 42.50/13.28  																							|-The branch is then unsatisfiable
% 42.50/13.28  																						|-Branch two:
% 42.50/13.28  																						| (919)  ~ (all_0_84_84 = e0)
% 42.50/13.28  																						| (438) all_0_84_84 = e4
% 42.50/13.28  																						|
% 42.50/13.28  																							| Equations (438) can reduce 417 to:
% 42.50/13.28  																							| (311) $false
% 42.50/13.28  																							|
% 42.50/13.28  																							|-The branch is then unsatisfiable
% 42.50/13.28  																				|-Branch two:
% 42.50/13.28  																				| (465)  ~ (all_0_82_82 = e4)
% 42.50/13.28  																				| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.50/13.28  																				|
% 42.50/13.28  																					+-Applying beta-rule and splitting (472), into two cases.
% 42.50/13.28  																					|-Branch one:
% 42.50/13.28  																					| (438) all_0_84_84 = e4
% 42.50/13.28  																					|
% 42.50/13.28  																						| Equations (438) can reduce 417 to:
% 42.50/13.28  																						| (311) $false
% 42.50/13.28  																						|
% 42.50/13.28  																						|-The branch is then unsatisfiable
% 42.50/13.28  																					|-Branch two:
% 42.50/13.28  																					| (417)  ~ (all_0_84_84 = e4)
% 42.50/13.28  																					| (493) all_0_85_85 = e4
% 42.50/13.28  																					|
% 42.50/13.28  																						| Combining equations (512,493) yields a new equation:
% 42.50/13.28  																						| (310) e4 = e2
% 42.50/13.28  																						|
% 42.50/13.29  																						| Equations (310) can reduce 79 to:
% 42.50/13.29  																						| (311) $false
% 42.50/13.29  																						|
% 42.50/13.29  																						|-The branch is then unsatisfiable
% 42.50/13.29  												|-Branch two:
% 42.50/13.29  												| (1314)  ~ (all_0_83_83 = e0)
% 42.50/13.29  												| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 42.50/13.29  												|
% 42.50/13.29  													+-Applying beta-rule and splitting (1400), into two cases.
% 42.50/13.29  													|-Branch one:
% 42.50/13.29  													| (1456) all_0_91_91 = e0
% 42.50/13.29  													|
% 42.50/13.29  														| Equations (1456) can reduce 17 to:
% 42.50/13.29  														| (9)  ~ (all_0_79_79 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Equations (1456) can reduce 146 to:
% 42.50/13.29  														| (1314)  ~ (all_0_83_83 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Equations (1456) can reduce 103 to:
% 42.50/13.29  														| (762)  ~ (all_0_90_90 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Equations (1456) can reduce 44 to:
% 42.50/13.29  														| (508)  ~ (all_0_93_93 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Simplifying 508 yields:
% 42.50/13.29  														| (509)  ~ (all_0_93_93 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Equations (1456) can reduce 133 to:
% 42.50/13.29  														| (904)  ~ (e4 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| Simplifying 904 yields:
% 42.50/13.29  														| (23)  ~ (e4 = e0)
% 42.50/13.29  														|
% 42.50/13.29  														| From (1456) and (222) follows:
% 42.50/13.29  														| (8259) op(e2, e0) = all_0_56_56
% 42.50/13.29  														|
% 42.50/13.29  														| From (1456) and (51) follows:
% 42.50/13.29  														| (3461) op(e1, e0) = all_0_57_57
% 42.50/13.29  														|
% 42.50/13.29  														| From (1456) and (3) follows:
% 42.50/13.29  														| (8261) op(e1, e2) = e0
% 42.50/13.29  														|
% 42.50/13.29  														+-Applying beta-rule and splitting (127), into two cases.
% 42.50/13.29  														|-Branch one:
% 42.50/13.29  														| (457) all_0_79_79 = e1
% 42.50/13.29  														|
% 42.50/13.29  															| Equations (457) can reduce 66 to:
% 42.50/13.29  															| (1601)  ~ (all_0_78_78 = e1)
% 42.50/13.29  															|
% 42.50/13.29  															| Equations (457) can reduce 63 to:
% 42.50/13.29  															| (1665)  ~ (all_0_80_80 = e1)
% 42.50/13.29  															|
% 42.50/13.29  															| Simplifying 1665 yields:
% 42.50/13.29  															| (828)  ~ (all_0_80_80 = e1)
% 42.50/13.29  															|
% 42.50/13.29  															| Equations (457) can reduce 9 to:
% 42.50/13.29  															| (264)  ~ (e1 = e0)
% 42.50/13.29  															|
% 42.50/13.29  															| From (457) and (184) follows:
% 42.50/13.29  															| (1679) op(e2, e1) = all_0_52_52
% 42.50/13.29  															|
% 42.50/13.29  															+-Applying beta-rule and splitting (285), into two cases.
% 42.50/13.29  															|-Branch one:
% 42.50/13.29  															| (1708) all_0_79_79 = e3
% 42.50/13.29  															|
% 42.50/13.29  																| Combining equations (457,1708) yields a new equation:
% 42.50/13.29  																| (772) e3 = e1
% 42.50/13.29  																|
% 42.50/13.29  																| Equations (772) can reduce 20 to:
% 42.50/13.29  																| (311) $false
% 42.50/13.29  																|
% 42.50/13.29  																|-The branch is then unsatisfiable
% 42.50/13.29  															|-Branch two:
% 42.50/13.29  															| (1711)  ~ (all_0_79_79 = e3)
% 42.50/13.29  															| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 42.50/13.29  															|
% 42.50/13.29  																+-Applying beta-rule and splitting (1712), into two cases.
% 42.50/13.29  																|-Branch one:
% 42.50/13.29  																| (795) all_0_83_83 = e3
% 42.50/13.29  																|
% 42.50/13.29  																	| Equations (795) can reduce 116 to:
% 42.50/13.29  																	| (793)  ~ (all_0_82_82 = e3)
% 42.50/13.29  																	|
% 42.50/13.29  																	| Equations (795) can reduce 223 to:
% 42.50/13.29  																	| (421)  ~ (all_0_84_84 = e3)
% 42.50/13.29  																	|
% 42.50/13.29  																	| Simplifying 421 yields:
% 42.50/13.29  																	| (422)  ~ (all_0_84_84 = e3)
% 42.50/13.29  																	|
% 42.50/13.29  																	| Equations (795) can reduce 226 to:
% 42.50/13.29  																	| (2358)  ~ (all_0_85_85 = e3)
% 42.81/13.29  																	|
% 42.81/13.29  																	| Simplifying 2358 yields:
% 42.81/13.29  																	| (952)  ~ (all_0_85_85 = e3)
% 42.81/13.29  																	|
% 42.81/13.29  																	| Equations (795) can reduce 398 to:
% 42.81/13.29  																	| (169)  ~ (e3 = e2)
% 42.81/13.29  																	|
% 42.81/13.29  																	| From (795) and (206) follows:
% 42.81/13.29  																	| (8280) op(e2, e3) = all_0_54_54
% 42.81/13.29  																	|
% 42.81/13.29  																	| Instantiating formula (262) with e2, e3, all_0_54_54, e2 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e2, yields:
% 42.81/13.29  																	| (8281) all_0_54_54 = e2
% 42.81/13.29  																	|
% 42.81/13.29  																	| Instantiating formula (262) with e2, e1, all_0_52_52, all_0_87_87 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = all_0_87_87, yields:
% 42.81/13.29  																	| (1680) all_0_52_52 = all_0_87_87
% 42.81/13.29  																	|
% 42.81/13.29  																	| Instantiating formula (262) with e2, e0, all_0_56_56, all_0_88_88 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = all_0_88_88, yields:
% 42.81/13.29  																	| (8283) all_0_56_56 = all_0_88_88
% 42.81/13.29  																	|
% 42.81/13.29  																	| Instantiating formula (262) with e1, e0, all_0_57_57, all_0_93_93 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_93_93, yields:
% 42.81/13.29  																	| (8284) all_0_57_57 = all_0_93_93
% 42.81/13.29  																	|
% 42.81/13.29  																	| From (8284) and (3461) follows:
% 42.81/13.29  																	| (231) op(e1, e0) = all_0_93_93
% 42.81/13.29  																	|
% 42.81/13.29  																	+-Applying beta-rule and splitting (33), into two cases.
% 42.81/13.29  																	|-Branch one:
% 42.81/13.29  																	| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 42.81/13.29  																	|
% 42.81/13.29  																		+-Applying beta-rule and splitting (1686), into two cases.
% 42.81/13.29  																		|-Branch one:
% 42.81/13.29  																		| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 42.81/13.29  																		|
% 42.81/13.29  																			+-Applying beta-rule and splitting (1687), into two cases.
% 42.81/13.29  																			|-Branch one:
% 42.81/13.29  																			| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 42.81/13.29  																			|
% 42.81/13.29  																				| Applying alpha-rule on (1688) yields:
% 42.81/13.29  																				| (1689) all_0_52_52 = e4
% 42.81/13.29  																				| (1690)  ~ (all_0_53_53 = e2)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Combining equations (1680,1689) yields a new equation:
% 42.81/13.29  																				| (1691) all_0_87_87 = e4
% 42.81/13.29  																				|
% 42.81/13.29  																				| Simplifying 1691 yields:
% 42.81/13.29  																				| (1692) all_0_87_87 = e4
% 42.81/13.29  																				|
% 42.81/13.29  																				| Equations (1692) can reduce 216 to:
% 42.81/13.29  																				| (311) $false
% 42.81/13.29  																				|
% 42.81/13.29  																				|-The branch is then unsatisfiable
% 42.81/13.29  																			|-Branch two:
% 42.81/13.29  																			| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 42.81/13.29  																			|
% 42.81/13.29  																				| Applying alpha-rule on (1694) yields:
% 42.81/13.29  																				| (1695) all_0_54_54 = e3
% 42.81/13.29  																				| (1696)  ~ (all_0_55_55 = e2)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Combining equations (1695,8281) yields a new equation:
% 42.81/13.29  																				| (547) e3 = e2
% 42.81/13.29  																				|
% 42.81/13.29  																				| Simplifying 547 yields:
% 42.81/13.29  																				| (548) e3 = e2
% 42.81/13.29  																				|
% 42.81/13.29  																				| Equations (548) can reduce 169 to:
% 42.81/13.29  																				| (311) $false
% 42.81/13.29  																				|
% 42.81/13.29  																				|-The branch is then unsatisfiable
% 42.81/13.29  																		|-Branch two:
% 42.81/13.29  																		| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 42.81/13.29  																		|
% 42.81/13.29  																			| Applying alpha-rule on (1700) yields:
% 42.81/13.29  																			| (1701) all_0_56_56 = e1
% 42.81/13.29  																			| (1702)  ~ (all_0_57_57 = e2)
% 42.81/13.29  																			|
% 42.81/13.29  																			| Combining equations (8283,1701) yields a new equation:
% 42.81/13.29  																			| (8303) all_0_88_88 = e1
% 42.81/13.29  																			|
% 42.81/13.29  																			| Simplifying 8303 yields:
% 42.81/13.29  																			| (504) all_0_88_88 = e1
% 42.81/13.29  																			|
% 42.81/13.29  																			| Equations (504) can reduce 266 to:
% 42.81/13.29  																			| (628)  ~ (all_0_81_81 = e1)
% 42.81/13.29  																			|
% 42.81/13.29  																			| Equations (504) can reduce 78 to:
% 42.81/13.29  																			| (128)  ~ (all_0_85_85 = e1)
% 42.81/13.29  																			|
% 42.81/13.29  																			| Equations (504) can reduce 181 to:
% 42.81/13.29  																			| (625)  ~ (all_0_87_87 = e1)
% 42.81/13.29  																			|
% 42.81/13.29  																			| Equations (504) can reduce 286 to:
% 42.81/13.29  																			| (480)  ~ (all_0_93_93 = e1)
% 42.81/13.29  																			|
% 42.81/13.29  																			| Simplifying 480 yields:
% 42.81/13.29  																			| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.29  																			|
% 42.81/13.29  																			| From (504) and (239) follows:
% 42.81/13.29  																			| (2530) op(e0, e1) = all_0_73_73
% 42.81/13.29  																			|
% 42.81/13.29  																			+-Applying beta-rule and splitting (382), into two cases.
% 42.81/13.29  																			|-Branch one:
% 42.81/13.29  																			| (861) all_0_87_87 = e0
% 42.81/13.29  																			|
% 42.81/13.29  																				| Equations (861) can reduce 73 to:
% 42.81/13.29  																				| (166)  ~ (all_0_80_80 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Equations (861) can reduce 94 to:
% 42.81/13.29  																				| (2299)  ~ (all_0_92_92 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Simplifying 2299 yields:
% 42.81/13.29  																				| (946)  ~ (all_0_92_92 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Equations (861) can reduce 221 to:
% 42.81/13.29  																				| (938)  ~ (all_0_97_97 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Simplifying 938 yields:
% 42.81/13.29  																				| (609)  ~ (all_0_97_97 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Equations (861) can reduce 625 to:
% 42.81/13.29  																				| (859)  ~ (e1 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| Simplifying 859 yields:
% 42.81/13.29  																				| (264)  ~ (e1 = e0)
% 42.81/13.29  																				|
% 42.81/13.29  																				| From (861) and (16) follows:
% 42.81/13.29  																				| (3518) op(e1, e0) = all_0_64_64
% 42.81/13.29  																				|
% 42.81/13.29  																				| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_93_93 and discharging atoms op(e1, e0) = all_0_64_64, op(e1, e0) = all_0_93_93, yields:
% 42.81/13.29  																				| (8320) all_0_64_64 = all_0_93_93
% 42.81/13.29  																				|
% 42.81/13.29  																				| Instantiating formula (262) with e0, e1, all_0_73_73, all_0_97_97 and discharging atoms op(e0, e1) = all_0_73_73, op(e0, e1) = all_0_97_97, yields:
% 42.81/13.29  																				| (8321) all_0_73_73 = all_0_97_97
% 42.81/13.29  																				|
% 42.81/13.29  																				+-Applying beta-rule and splitting (92), into two cases.
% 42.81/13.29  																				|-Branch one:
% 42.81/13.29  																				| (552) all_0_84_84 = e2
% 42.81/13.29  																				|
% 42.81/13.29  																					| Equations (552) can reduce 273 to:
% 42.81/13.29  																					| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.29  																					|
% 42.81/13.29  																					| Equations (552) can reduce 7 to:
% 42.81/13.29  																					| (347)  ~ (all_0_82_82 = e2)
% 42.81/13.29  																					|
% 42.81/13.29  																					| Equations (552) can reduce 195 to:
% 42.81/13.29  																					| (2376)  ~ (all_0_97_97 = e2)
% 42.81/13.29  																					|
% 42.81/13.29  																					| Simplifying 2376 yields:
% 42.81/13.29  																					| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.29  																					|
% 42.81/13.29  																					| Equations (552) can reduce 259 to:
% 42.81/13.29  																					| (243)  ~ (e2 = e1)
% 42.81/13.29  																					|
% 42.81/13.29  																					| From (552) and (122) follows:
% 42.81/13.29  																					| (555) op(e1, e2) = all_0_62_62
% 42.81/13.29  																					|
% 42.81/13.29  																					+-Applying beta-rule and splitting (101), into two cases.
% 42.81/13.29  																					|-Branch one:
% 42.81/13.29  																					| (400) all_0_78_78 = e2
% 42.81/13.29  																					|
% 42.81/13.29  																						| Equations (400) can reduce 346 to:
% 42.81/13.29  																						| (311) $false
% 42.81/13.29  																						|
% 42.81/13.29  																						|-The branch is then unsatisfiable
% 42.81/13.29  																					|-Branch two:
% 42.81/13.29  																					| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.29  																					| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 42.81/13.29  																					|
% 42.81/13.29  																						+-Applying beta-rule and splitting (1658), into two cases.
% 42.81/13.29  																						|-Branch one:
% 42.81/13.29  																						| (390) all_0_79_79 = e2
% 42.81/13.29  																						|
% 42.81/13.29  																							| Combining equations (457,390) yields a new equation:
% 42.81/13.29  																							| (385) e2 = e1
% 42.81/13.29  																							|
% 42.81/13.29  																							| Equations (385) can reduce 243 to:
% 42.81/13.29  																							| (311) $false
% 42.81/13.29  																							|
% 42.81/13.29  																							|-The branch is then unsatisfiable
% 42.81/13.29  																						|-Branch two:
% 42.81/13.29  																						| (1622)  ~ (all_0_79_79 = e2)
% 42.81/13.29  																						| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 42.81/13.29  																						|
% 42.81/13.29  																							+-Applying beta-rule and splitting (205), into two cases.
% 42.81/13.29  																							|-Branch one:
% 42.81/13.29  																							| (473) all_0_81_81 = e2
% 42.81/13.29  																							|
% 42.81/13.29  																								| Equations (473) can reduce 278 to:
% 42.81/13.29  																								| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Equations (473) can reduce 144 to:
% 42.81/13.29  																								| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Equations (473) can reduce 118 to:
% 42.81/13.29  																								| (691)  ~ (all_0_85_85 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Simplifying 691 yields:
% 42.81/13.29  																								| (515)  ~ (all_0_85_85 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Equations (473) can reduce 277 to:
% 42.81/13.29  																								| (299)  ~ (all_0_93_93 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Simplifying 299 yields:
% 42.81/13.29  																								| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Equations (473) can reduce 5 to:
% 42.81/13.29  																								| (1348)  ~ (all_0_98_98 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Simplifying 1348 yields:
% 42.81/13.29  																								| (1349)  ~ (all_0_98_98 = e2)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Equations (473) can reduce 257 to:
% 42.81/13.29  																								| (76)  ~ (e2 = e0)
% 42.81/13.29  																								|
% 42.81/13.29  																								| Instantiating formula (262) with e1, e2, all_0_62_62, e0 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = e0, yields:
% 42.81/13.29  																								| (8348) all_0_62_62 = e0
% 42.81/13.29  																								|
% 42.81/13.29  																								+-Applying beta-rule and splitting (56), into two cases.
% 42.81/13.29  																								|-Branch one:
% 42.81/13.29  																								| (463) all_0_78_78 = e4
% 42.81/13.29  																								|
% 42.81/13.29  																									| Equations (463) can reduce 67 to:
% 42.81/13.29  																									| (1728)  ~ (all_0_80_80 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Simplifying 1728 yields:
% 42.81/13.29  																									| (436)  ~ (all_0_80_80 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Equations (463) can reduce 193 to:
% 42.81/13.29  																									| (464)  ~ (all_0_82_82 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Simplifying 464 yields:
% 42.81/13.29  																									| (465)  ~ (all_0_82_82 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Equations (463) can reduce 85 to:
% 42.81/13.29  																									| (466)  ~ (all_0_90_90 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Simplifying 466 yields:
% 42.81/13.29  																									| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.29  																									|
% 42.81/13.29  																									| Equations (463) can reduce 346 to:
% 42.81/13.29  																									| (79)  ~ (e4 = e2)
% 42.81/13.29  																									|
% 42.81/13.29  																									+-Applying beta-rule and splitting (109), into two cases.
% 42.81/13.29  																									|-Branch one:
% 42.81/13.29  																									| (469) all_0_82_82 = e4
% 42.81/13.29  																									|
% 42.81/13.29  																										| Equations (469) can reduce 465 to:
% 42.81/13.29  																										| (311) $false
% 42.81/13.29  																										|
% 42.81/13.29  																										|-The branch is then unsatisfiable
% 42.81/13.29  																									|-Branch two:
% 42.81/13.29  																									| (465)  ~ (all_0_82_82 = e4)
% 42.81/13.29  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.81/13.29  																									|
% 42.81/13.30  																										+-Applying beta-rule and splitting (472), into two cases.
% 42.81/13.30  																										|-Branch one:
% 42.81/13.30  																										| (438) all_0_84_84 = e4
% 42.81/13.30  																										|
% 42.81/13.30  																											| Combining equations (552,438) yields a new equation:
% 42.81/13.30  																											| (310) e4 = e2
% 42.81/13.30  																											|
% 42.81/13.30  																											| Equations (310) can reduce 79 to:
% 42.81/13.30  																											| (311) $false
% 42.81/13.30  																											|
% 42.81/13.30  																											|-The branch is then unsatisfiable
% 42.81/13.30  																										|-Branch two:
% 42.81/13.30  																										| (417)  ~ (all_0_84_84 = e4)
% 42.81/13.30  																										| (493) all_0_85_85 = e4
% 42.81/13.30  																										|
% 42.81/13.30  																											| Equations (493) can reduce 209 to:
% 42.81/13.30  																											| (465)  ~ (all_0_82_82 = e4)
% 42.81/13.30  																											|
% 42.81/13.30  																											| Equations (493) can reduce 201 to:
% 42.81/13.30  																											| (495)  ~ (all_0_93_93 = e4)
% 42.81/13.30  																											|
% 42.81/13.30  																											| Simplifying 495 yields:
% 42.81/13.30  																											| (496)  ~ (all_0_93_93 = e4)
% 42.81/13.30  																											|
% 42.81/13.30  																											| Equations (493) can reduce 515 to:
% 42.81/13.30  																											| (79)  ~ (e4 = e2)
% 42.81/13.30  																											|
% 42.81/13.30  																											+-Applying beta-rule and splitting (65), into two cases.
% 42.81/13.30  																											|-Branch one:
% 42.81/13.30  																											| (522) all_0_93_93 = e2
% 42.81/13.30  																											|
% 42.81/13.30  																												| Equations (522) can reduce 300 to:
% 42.81/13.30  																												| (311) $false
% 42.81/13.30  																												|
% 42.81/13.30  																												|-The branch is then unsatisfiable
% 42.81/13.30  																											|-Branch two:
% 42.81/13.30  																											| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.30  																											| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.81/13.30  																											|
% 42.81/13.30  																												+-Applying beta-rule and splitting (10), into two cases.
% 42.81/13.30  																												|-Branch one:
% 42.81/13.30  																												| (530) all_0_82_82 = e2
% 42.81/13.30  																												|
% 42.81/13.30  																													| Equations (530) can reduce 347 to:
% 42.81/13.30  																													| (311) $false
% 42.81/13.30  																													|
% 42.81/13.30  																													|-The branch is then unsatisfiable
% 42.81/13.30  																												|-Branch two:
% 42.81/13.30  																												| (347)  ~ (all_0_82_82 = e2)
% 42.81/13.30  																												| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 42.81/13.30  																												|
% 42.81/13.30  																													+-Applying beta-rule and splitting (249), into two cases.
% 42.81/13.30  																													|-Branch one:
% 42.81/13.30  																													| (910) all_0_82_82 = e0
% 42.81/13.30  																													|
% 42.81/13.30  																														| Equations (910) can reduce 255 to:
% 42.81/13.30  																														| (2710)  ~ (all_0_90_90 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														| Simplifying 2710 yields:
% 42.81/13.30  																														| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														| Equations (910) can reduce 465 to:
% 42.81/13.30  																														| (904)  ~ (e4 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														| Simplifying 904 yields:
% 42.81/13.30  																														| (23)  ~ (e4 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														| Equations (910) can reduce 198 to:
% 42.81/13.30  																														| (859)  ~ (e1 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														| Simplifying 859 yields:
% 42.81/13.30  																														| (264)  ~ (e1 = e0)
% 42.81/13.30  																														|
% 42.81/13.30  																														+-Applying beta-rule and splitting (289), into two cases.
% 42.81/13.30  																														|-Branch one:
% 42.81/13.30  																														| (954) all_0_85_85 = e0
% 42.81/13.30  																														|
% 42.81/13.30  																															| Combining equations (493,954) yields a new equation:
% 42.81/13.30  																															| (911) e4 = e0
% 42.81/13.30  																															|
% 42.81/13.30  																															| Simplifying 911 yields:
% 42.81/13.30  																															| (912) e4 = e0
% 42.81/13.30  																															|
% 42.81/13.30  																															| Equations (912) can reduce 23 to:
% 42.81/13.30  																															| (311) $false
% 42.81/13.30  																															|
% 42.81/13.30  																															|-The branch is then unsatisfiable
% 42.81/13.30  																														|-Branch two:
% 42.81/13.30  																														| (800)  ~ (all_0_85_85 = e0)
% 42.81/13.30  																														| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.30  																														|
% 42.81/13.30  																															+-Applying beta-rule and splitting (565), into two cases.
% 42.81/13.30  																															|-Branch one:
% 42.81/13.30  																															| (566) all_0_93_93 = e1
% 42.81/13.30  																															|
% 42.81/13.30  																																| Equations (566) can reduce 481 to:
% 42.81/13.30  																																| (311) $false
% 42.81/13.30  																																|
% 42.81/13.30  																																|-The branch is then unsatisfiable
% 42.81/13.30  																															|-Branch two:
% 42.81/13.30  																															| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.30  																															| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.81/13.30  																															|
% 42.81/13.30  																																+-Applying beta-rule and splitting (1077), into two cases.
% 42.81/13.30  																																|-Branch one:
% 42.81/13.30  																																| (507) all_0_88_88 = e0
% 42.81/13.30  																																|
% 42.81/13.30  																																	| Combining equations (507,504) yields a new equation:
% 42.81/13.30  																																	| (865) e1 = e0
% 42.81/13.30  																																	|
% 42.81/13.30  																																	| Equations (865) can reduce 264 to:
% 42.81/13.30  																																	| (311) $false
% 42.81/13.30  																																	|
% 42.81/13.30  																																	|-The branch is then unsatisfiable
% 42.81/13.30  																																|-Branch two:
% 42.81/13.30  																																| (1110)  ~ (all_0_88_88 = e0)
% 42.81/13.30  																																| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.30  																																|
% 42.81/13.30  																																	+-Applying beta-rule and splitting (569), into two cases.
% 42.81/13.30  																																	|-Branch one:
% 42.81/13.30  																																	| (570) all_0_93_93 = e3
% 42.81/13.30  																																	|
% 42.81/13.30  																																		| Combining equations (570,8320) yields a new equation:
% 42.81/13.30  																																		| (3524) all_0_64_64 = e3
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| Equations (570) can reduce 34 to:
% 42.81/13.30  																																		| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| Equations (570) can reduce 496 to:
% 42.81/13.30  																																		| (783)  ~ (e4 = e3)
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| Simplifying 783 yields:
% 42.81/13.30  																																		| (177)  ~ (e4 = e3)
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| Equations (570) can reduce 300 to:
% 42.81/13.30  																																		| (169)  ~ (e3 = e2)
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| Equations (570) can reduce 509 to:
% 42.81/13.30  																																		| (50)  ~ (e3 = e0)
% 42.81/13.30  																																		|
% 42.81/13.30  																																		| From (570) and (21) follows:
% 42.81/13.30  																																		| (4652) op(e1, e3) = all_0_76_76
% 42.81/13.30  																																		|
% 42.81/13.30  																																		+-Applying beta-rule and splitting (1111), into two cases.
% 42.81/13.30  																																		|-Branch one:
% 42.81/13.30  																																		| (604) all_0_93_93 = e0
% 42.81/13.30  																																		|
% 42.81/13.30  																																			| Combining equations (570,604) yields a new equation:
% 42.81/13.30  																																			| (599) e3 = e0
% 42.81/13.30  																																			|
% 42.81/13.30  																																			| Simplifying 599 yields:
% 42.81/13.30  																																			| (600) e3 = e0
% 42.81/13.30  																																			|
% 42.81/13.30  																																			| Equations (600) can reduce 50 to:
% 42.81/13.30  																																			| (311) $false
% 42.81/13.30  																																			|
% 42.81/13.30  																																			|-The branch is then unsatisfiable
% 42.81/13.30  																																		|-Branch two:
% 42.81/13.30  																																		| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.30  																																		| (1121) all_0_98_98 = e0
% 42.81/13.30  																																		|
% 42.81/13.30  																																			| Equations (1121) can reduce 107 to:
% 42.81/13.30  																																			| (893)  ~ (all_0_95_95 = e0)
% 42.81/13.30  																																			|
% 42.81/13.30  																																			+-Applying beta-rule and splitting (27), into two cases.
% 42.81/13.30  																																			|-Branch one:
% 42.81/13.30  																																			| (746) all_0_90_90 = e2
% 42.81/13.30  																																			|
% 42.81/13.30  																																				| Equations (746) can reduce 294 to:
% 42.81/13.30  																																				| (311) $false
% 42.81/13.30  																																				|
% 42.81/13.30  																																				|-The branch is then unsatisfiable
% 42.81/13.30  																																			|-Branch two:
% 42.81/13.30  																																			| (294)  ~ (all_0_90_90 = e2)
% 42.81/13.30  																																			| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 42.81/13.30  																																			|
% 42.81/13.30  																																				+-Applying beta-rule and splitting (46), into two cases.
% 42.81/13.30  																																				|-Branch one:
% 42.81/13.30  																																				| (308) all_0_89_89 = e4
% 42.81/13.30  																																				|
% 42.81/13.30  																																					| Combining equations (292,308) yields a new equation:
% 42.81/13.30  																																					| (310) e4 = e2
% 42.81/13.30  																																					|
% 42.81/13.30  																																					| Equations (310) can reduce 79 to:
% 42.81/13.30  																																					| (311) $false
% 42.81/13.30  																																					|
% 42.81/13.30  																																					|-The branch is then unsatisfiable
% 42.81/13.30  																																				|-Branch two:
% 42.81/13.30  																																				| (312)  ~ (all_0_89_89 = e4)
% 42.81/13.30  																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.30  																																				|
% 42.81/13.30  																																					| Equations (292) can reduce 312 to:
% 42.81/13.30  																																					| (528)  ~ (e4 = e2)
% 42.81/13.30  																																					|
% 42.81/13.30  																																					| Simplifying 528 yields:
% 42.81/13.30  																																					| (79)  ~ (e4 = e2)
% 42.81/13.30  																																					|
% 42.81/13.30  																																					+-Applying beta-rule and splitting (749), into two cases.
% 42.81/13.30  																																					|-Branch one:
% 42.81/13.30  																																					| (750) all_0_90_90 = e1
% 42.81/13.30  																																					|
% 42.81/13.30  																																						| Equations (750) can reduce 229 to:
% 42.81/13.30  																																						| (679)  ~ (all_0_95_95 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Simplifying 679 yields:
% 42.81/13.30  																																						| (680)  ~ (all_0_95_95 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Equations (750) can reduce 745 to:
% 42.81/13.30  																																						| (683)  ~ (e3 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Simplifying 683 yields:
% 42.81/13.30  																																						| (20)  ~ (e3 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Equations (750) can reduce 294 to:
% 42.81/13.30  																																						| (487)  ~ (e2 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Simplifying 487 yields:
% 42.81/13.30  																																						| (243)  ~ (e2 = e1)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| Equations (750) can reduce 762 to:
% 42.81/13.30  																																						| (264)  ~ (e1 = e0)
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| From (750) and (35) follows:
% 42.81/13.30  																																						| (8434) op(e1, e1) = all_0_49_49
% 42.81/13.30  																																						|
% 42.81/13.30  																																						| From (750) and (218) follows:
% 42.81/13.30  																																						| (3486) op(e1, e3) = e1
% 42.81/13.30  																																						|
% 42.81/13.30  																																						+-Applying beta-rule and splitting (106), into two cases.
% 42.81/13.30  																																						|-Branch one:
% 42.81/13.30  																																						| (771) all_0_78_78 = e3
% 42.81/13.30  																																						|
% 42.81/13.30  																																							| Combining equations (771,463) yields a new equation:
% 42.81/13.30  																																							| (434) e4 = e3
% 42.81/13.30  																																							|
% 42.81/13.30  																																							| Equations (434) can reduce 177 to:
% 42.81/13.30  																																							| (311) $false
% 42.81/13.30  																																							|
% 42.81/13.30  																																							|-The branch is then unsatisfiable
% 42.81/13.30  																																						|-Branch two:
% 42.81/13.30  																																						| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.30  																																						| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 42.81/13.30  																																						|
% 42.81/13.30  																																							| Equations (463) can reduce 418 to:
% 42.81/13.30  																																							| (177)  ~ (e4 = e3)
% 42.81/13.30  																																							|
% 42.81/13.30  																																							+-Applying beta-rule and splitting (210), into two cases.
% 42.81/13.30  																																							|-Branch one:
% 42.81/13.30  																																							| (433) all_0_80_80 = e4
% 42.81/13.30  																																							|
% 42.81/13.30  																																								| Equations (433) can reduce 436 to:
% 42.81/13.30  																																								| (311) $false
% 42.81/13.30  																																								|
% 42.81/13.30  																																								|-The branch is then unsatisfiable
% 42.81/13.30  																																							|-Branch two:
% 42.81/13.30  																																							| (436)  ~ (all_0_80_80 = e4)
% 42.81/13.30  																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 42.81/13.30  																																							|
% 42.81/13.30  																																								+-Applying beta-rule and splitting (1756), into two cases.
% 42.81/13.30  																																								|-Branch one:
% 42.81/13.30  																																								| (1708) all_0_79_79 = e3
% 42.81/13.30  																																								|
% 42.81/13.30  																																									| Combining equations (1708,457) yields a new equation:
% 42.81/13.30  																																									| (825) e3 = e1
% 42.81/13.30  																																									|
% 42.81/13.30  																																									| Simplifying 825 yields:
% 42.81/13.30  																																									| (772) e3 = e1
% 42.81/13.30  																																									|
% 42.81/13.30  																																									| Equations (772) can reduce 20 to:
% 42.81/13.30  																																									| (311) $false
% 42.81/13.30  																																									|
% 42.81/13.30  																																									|-The branch is then unsatisfiable
% 42.81/13.30  																																								|-Branch two:
% 42.81/13.30  																																								| (1711)  ~ (all_0_79_79 = e3)
% 42.81/13.30  																																								| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 42.81/13.30  																																								|
% 42.81/13.30  																																									+-Applying beta-rule and splitting (220), into two cases.
% 42.81/13.30  																																									|-Branch one:
% 42.81/13.30  																																									| (771) all_0_78_78 = e3
% 42.81/13.30  																																									|
% 42.81/13.30  																																										| Combining equations (771,463) yields a new equation:
% 42.81/13.30  																																										| (434) e4 = e3
% 42.81/13.30  																																										|
% 42.81/13.30  																																										| Equations (434) can reduce 177 to:
% 42.81/13.30  																																										| (311) $false
% 42.81/13.30  																																										|
% 42.81/13.30  																																										|-The branch is then unsatisfiable
% 42.81/13.30  																																									|-Branch two:
% 42.81/13.30  																																									| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.30  																																									| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 42.81/13.30  																																									|
% 42.81/13.30  																																										+-Applying beta-rule and splitting (1768), into two cases.
% 42.81/13.30  																																										|-Branch one:
% 42.81/13.30  																																										| (416) all_0_80_80 = e3
% 42.81/13.30  																																										|
% 42.81/13.30  																																											| Equations (416) can reduce 828 to:
% 42.81/13.30  																																											| (20)  ~ (e3 = e1)
% 42.81/13.30  																																											|
% 42.81/13.30  																																											| Equations (416) can reduce 166 to:
% 42.81/13.30  																																											| (50)  ~ (e3 = e0)
% 42.81/13.30  																																											|
% 42.81/13.30  																																											| From (416) and (233) follows:
% 42.81/13.30  																																											| (432) op(e1, e3) = all_0_60_60
% 42.81/13.30  																																											|
% 42.81/13.30  																																											+-Applying beta-rule and splitting (775), into two cases.
% 42.81/13.30  																																											|-Branch one:
% 42.81/13.30  																																											| (789) all_0_82_82 = e3
% 42.81/13.30  																																											|
% 42.81/13.30  																																												| Combining equations (910,789) yields a new equation:
% 42.81/13.30  																																												| (600) e3 = e0
% 42.81/13.30  																																												|
% 42.81/13.30  																																												| Equations (600) can reduce 50 to:
% 42.81/13.30  																																												| (311) $false
% 42.81/13.30  																																												|
% 42.81/13.30  																																												|-The branch is then unsatisfiable
% 42.81/13.30  																																											|-Branch two:
% 42.81/13.30  																																											| (793)  ~ (all_0_82_82 = e3)
% 42.81/13.30  																																											| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 42.81/13.30  																																											|
% 42.81/13.30  																																												+-Applying beta-rule and splitting (176), into two cases.
% 42.81/13.30  																																												|-Branch one:
% 42.81/13.30  																																												| (785) all_0_95_95 = e1
% 42.81/13.30  																																												|
% 42.81/13.30  																																													| Equations (785) can reduce 680 to:
% 42.81/13.30  																																													| (311) $false
% 42.81/13.30  																																													|
% 42.81/13.30  																																													|-The branch is then unsatisfiable
% 42.81/13.30  																																												|-Branch two:
% 42.81/13.30  																																												| (680)  ~ (all_0_95_95 = e1)
% 42.81/13.30  																																												| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.81/13.30  																																												|
% 42.81/13.30  																																													+-Applying beta-rule and splitting (112), into two cases.
% 42.81/13.30  																																													|-Branch one:
% 42.81/13.30  																																													| (538) all_0_97_97 = e2
% 42.81/13.30  																																													|
% 42.81/13.30  																																														| Equations (538) can reduce 527 to:
% 42.81/13.30  																																														| (311) $false
% 42.81/13.30  																																														|
% 42.81/13.30  																																														|-The branch is then unsatisfiable
% 42.81/13.30  																																													|-Branch two:
% 42.81/13.30  																																													| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.30  																																													| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 42.81/13.30  																																													|
% 42.81/13.30  																																														+-Applying beta-rule and splitting (270), into two cases.
% 42.81/13.30  																																														|-Branch one:
% 42.81/13.30  																																														| (744) all_0_95_95 = e3
% 42.81/13.30  																																														|
% 42.81/13.30  																																															| Equations (744) can reduce 355 to:
% 42.81/13.30  																																															| (169)  ~ (e3 = e2)
% 42.81/13.30  																																															|
% 42.81/13.30  																																															| Equations (744) can reduce 680 to:
% 42.81/13.30  																																															| (20)  ~ (e3 = e1)
% 42.81/13.30  																																															|
% 42.81/13.30  																																															| Equations (744) can reduce 893 to:
% 42.81/13.30  																																															| (50)  ~ (e3 = e0)
% 42.81/13.30  																																															|
% 42.81/13.30  																																															+-Applying beta-rule and splitting (151), into two cases.
% 42.81/13.30  																																															|-Branch one:
% 42.81/13.30  																																															| (824) all_0_80_80 = e1
% 42.81/13.30  																																															|
% 42.81/13.30  																																																| Combining equations (824,416) yields a new equation:
% 42.81/13.30  																																																| (772) e3 = e1
% 42.81/13.30  																																																|
% 42.81/13.30  																																																| Equations (772) can reduce 20 to:
% 42.81/13.30  																																																| (311) $false
% 42.81/13.30  																																																|
% 42.81/13.30  																																																|-The branch is then unsatisfiable
% 42.81/13.30  																																															|-Branch two:
% 42.81/13.30  																																															| (828)  ~ (all_0_80_80 = e1)
% 42.81/13.30  																																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.30  																																															|
% 42.81/13.30  																																																+-Applying beta-rule and splitting (829), into two cases.
% 42.81/13.30  																																																|-Branch one:
% 42.81/13.30  																																																| (482) all_0_87_87 = e1
% 42.81/13.30  																																																|
% 42.81/13.30  																																																	| Combining equations (861,482) yields a new equation:
% 42.81/13.30  																																																	| (865) e1 = e0
% 42.81/13.30  																																																	|
% 42.81/13.30  																																																	| Equations (865) can reduce 264 to:
% 42.81/13.30  																																																	| (311) $false
% 42.81/13.30  																																																	|
% 42.81/13.30  																																																	|-The branch is then unsatisfiable
% 42.81/13.30  																																																|-Branch two:
% 42.81/13.30  																																																| (625)  ~ (all_0_87_87 = e1)
% 42.81/13.30  																																																| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.30  																																																|
% 42.81/13.30  																																																	| Equations (861) can reduce 625 to:
% 42.81/13.30  																																																	| (859)  ~ (e1 = e0)
% 42.81/13.30  																																																	|
% 42.81/13.30  																																																	| Simplifying 859 yields:
% 42.81/13.30  																																																	| (264)  ~ (e1 = e0)
% 42.81/13.30  																																																	|
% 42.81/13.30  																																																	+-Applying beta-rule and splitting (541), into two cases.
% 42.81/13.30  																																																	|-Branch one:
% 42.81/13.30  																																																	| (542) all_0_97_97 = e1
% 42.81/13.30  																																																	|
% 42.81/13.30  																																																		| Equations (542) can reduce 258 to:
% 42.81/13.30  																																																		| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																		| Equations (542) can reduce 319 to:
% 42.81/13.30  																																																		| (681)  ~ (e4 = e1)
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																		| Simplifying 681 yields:
% 42.81/13.30  																																																		| (256)  ~ (e4 = e1)
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																		| From (542) and (252) follows:
% 42.81/13.30  																																																		| (3446) op(e1, e1) = all_0_67_67
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																		+-Applying beta-rule and splitting (437), into two cases.
% 42.81/13.30  																																																		|-Branch one:
% 42.81/13.30  																																																		| (438) all_0_84_84 = e4
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																			| Combining equations (552,438) yields a new equation:
% 42.81/13.30  																																																			| (310) e4 = e2
% 42.81/13.30  																																																			|
% 42.81/13.30  																																																			| Equations (310) can reduce 79 to:
% 42.81/13.30  																																																			| (311) $false
% 42.81/13.30  																																																			|
% 42.81/13.30  																																																			|-The branch is then unsatisfiable
% 42.81/13.30  																																																		|-Branch two:
% 42.81/13.30  																																																		| (417)  ~ (all_0_84_84 = e4)
% 42.81/13.30  																																																		| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 42.81/13.30  																																																		|
% 42.81/13.30  																																																			+-Applying beta-rule and splitting (441), into two cases.
% 42.81/13.30  																																																			|-Branch one:
% 42.81/13.30  																																																			| (442) all_0_92_92 = e4
% 42.81/13.30  																																																			|
% 42.81/13.30  																																																				| Equations (442) can reduce 840 to:
% 42.81/13.30  																																																				| (256)  ~ (e4 = e1)
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Equations (442) can reduce 946 to:
% 42.81/13.30  																																																				| (23)  ~ (e4 = e0)
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| From (442) and (135) follows:
% 42.81/13.30  																																																				| (449) op(e1, e1) = e4
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Instantiating formula (262) with e1, e3, all_0_76_76, all_0_60_60 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_76_76, yields:
% 42.81/13.30  																																																				| (8504) all_0_60_60 = all_0_76_76
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Instantiating formula (262) with e1, e3, e1, all_0_60_60 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = e1, yields:
% 42.81/13.30  																																																				| (5436) all_0_60_60 = e1
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Instantiating formula (262) with e1, e1, all_0_67_67, all_0_49_49 and discharging atoms op(e1, e1) = all_0_49_49, op(e1, e1) = all_0_67_67, yields:
% 42.81/13.30  																																																				| (8506) all_0_49_49 = all_0_67_67
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Instantiating formula (262) with e1, e1, e4, all_0_49_49 and discharging atoms op(e1, e1) = all_0_49_49, op(e1, e1) = e4, yields:
% 42.81/13.30  																																																				| (8507) all_0_49_49 = e4
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Combining equations (8506,8507) yields a new equation:
% 42.81/13.30  																																																				| (8508) all_0_67_67 = e4
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Simplifying 8508 yields:
% 42.81/13.30  																																																				| (3520) all_0_67_67 = e4
% 42.81/13.30  																																																				|
% 42.81/13.30  																																																				| Combining equations (5436,8504) yields a new equation:
% 42.81/13.30  																																																				| (8510) all_0_76_76 = e1
% 42.81/13.30  																																																				|
% 42.81/13.31  																																																				| Combining equations (8510,8504) yields a new equation:
% 42.81/13.31  																																																				| (5436) all_0_60_60 = e1
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				+-Applying beta-rule and splitting (276), into two cases.
% 42.81/13.31  																																																				|-Branch one:
% 42.81/13.31  																																																				| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																					+-Applying beta-rule and splitting (577), into two cases.
% 42.81/13.31  																																																					|-Branch one:
% 42.81/13.31  																																																					| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																						+-Applying beta-rule and splitting (578), into two cases.
% 42.81/13.31  																																																						|-Branch one:
% 42.81/13.31  																																																						| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																							| Applying alpha-rule on (579) yields:
% 42.81/13.31  																																																							| (580) all_0_60_60 = e4
% 42.81/13.31  																																																							| (581)  ~ (all_0_61_61 = e1)
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Combining equations (580,5436) yields a new equation:
% 42.81/13.31  																																																							| (813) e4 = e1
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Simplifying 813 yields:
% 42.81/13.31  																																																							| (814) e4 = e1
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Equations (814) can reduce 256 to:
% 42.81/13.31  																																																							| (311) $false
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							|-The branch is then unsatisfiable
% 42.81/13.31  																																																						|-Branch two:
% 42.81/13.31  																																																						| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																							| Applying alpha-rule on (585) yields:
% 42.81/13.31  																																																							| (586) all_0_62_62 = e3
% 42.81/13.31  																																																							| (587)  ~ (all_0_63_63 = e1)
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Combining equations (586,8348) yields a new equation:
% 42.81/13.31  																																																							| (599) e3 = e0
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Simplifying 599 yields:
% 42.81/13.31  																																																							| (600) e3 = e0
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							| Equations (600) can reduce 50 to:
% 42.81/13.31  																																																							| (311) $false
% 42.81/13.31  																																																							|
% 42.81/13.31  																																																							|-The branch is then unsatisfiable
% 42.81/13.31  																																																					|-Branch two:
% 42.81/13.31  																																																					| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																						| Applying alpha-rule on (590) yields:
% 42.81/13.31  																																																						| (591) all_0_64_64 = e2
% 42.81/13.31  																																																						| (592)  ~ (all_0_65_65 = e1)
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																						| Combining equations (3524,591) yields a new equation:
% 42.81/13.31  																																																						| (547) e3 = e2
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																						| Simplifying 547 yields:
% 42.81/13.31  																																																						| (548) e3 = e2
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																						| Equations (548) can reduce 169 to:
% 42.81/13.31  																																																						| (311) $false
% 42.81/13.31  																																																						|
% 42.81/13.31  																																																						|-The branch is then unsatisfiable
% 42.81/13.31  																																																				|-Branch two:
% 42.81/13.31  																																																				| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																					| Applying alpha-rule on (596) yields:
% 42.81/13.31  																																																					| (597) all_0_67_67 = e0
% 42.81/13.31  																																																					| (598)  ~ (all_0_68_68 = e1)
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																					| Combining equations (3520,597) yields a new equation:
% 42.81/13.31  																																																					| (911) e4 = e0
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																					| Simplifying 911 yields:
% 42.81/13.31  																																																					| (912) e4 = e0
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																					| Equations (912) can reduce 23 to:
% 42.81/13.31  																																																					| (311) $false
% 42.81/13.31  																																																					|
% 42.81/13.31  																																																					|-The branch is then unsatisfiable
% 42.81/13.31  																																																			|-Branch two:
% 42.81/13.31  																																																			| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.31  																																																			| (610) all_0_97_97 = e4
% 42.81/13.31  																																																			|
% 42.81/13.31  																																																				| Combining equations (542,610) yields a new equation:
% 42.81/13.31  																																																				| (814) e4 = e1
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				| Equations (814) can reduce 256 to:
% 42.81/13.31  																																																				| (311) $false
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				|-The branch is then unsatisfiable
% 42.81/13.31  																																																	|-Branch two:
% 42.81/13.31  																																																	| (486)  ~ (all_0_97_97 = e1)
% 42.81/13.31  																																																	| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 42.81/13.31  																																																	|
% 42.81/13.31  																																																		+-Applying beta-rule and splitting (788), into two cases.
% 42.81/13.31  																																																		|-Branch one:
% 42.81/13.31  																																																		| (960) all_0_96_96 = e1
% 42.81/13.31  																																																		|
% 42.81/13.31  																																																			| Combining equations (960,1704) yields a new equation:
% 42.81/13.31  																																																			| (385) e2 = e1
% 42.81/13.31  																																																			|
% 42.81/13.31  																																																			| Equations (385) can reduce 243 to:
% 42.81/13.31  																																																			| (311) $false
% 42.81/13.31  																																																			|
% 42.81/13.31  																																																			|-The branch is then unsatisfiable
% 42.81/13.31  																																																		|-Branch two:
% 42.81/13.31  																																																		| (1479)  ~ (all_0_96_96 = e1)
% 42.81/13.31  																																																		| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 42.81/13.31  																																																		|
% 42.81/13.31  																																																			+-Applying beta-rule and splitting (2126), into two cases.
% 42.81/13.31  																																																			|-Branch one:
% 42.81/13.31  																																																			| (542) all_0_97_97 = e1
% 42.81/13.31  																																																			|
% 42.81/13.31  																																																				| Equations (542) can reduce 486 to:
% 42.81/13.31  																																																				| (311) $false
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				|-The branch is then unsatisfiable
% 42.81/13.31  																																																			|-Branch two:
% 42.81/13.31  																																																			| (486)  ~ (all_0_97_97 = e1)
% 42.81/13.31  																																																			| (1543) all_0_98_98 = e1
% 42.81/13.31  																																																			|
% 42.81/13.31  																																																				| Combining equations (1121,1543) yields a new equation:
% 42.81/13.31  																																																				| (865) e1 = e0
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				| Equations (865) can reduce 264 to:
% 42.81/13.31  																																																				| (311) $false
% 42.81/13.31  																																																				|
% 42.81/13.31  																																																				|-The branch is then unsatisfiable
% 42.81/13.31  																																														|-Branch two:
% 42.81/13.31  																																														| (765)  ~ (all_0_95_95 = e3)
% 42.81/13.31  																																														| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.81/13.31  																																														|
% 42.81/13.31  																																															+-Applying beta-rule and splitting (151), into two cases.
% 42.81/13.31  																																															|-Branch one:
% 42.81/13.31  																																															| (824) all_0_80_80 = e1
% 42.81/13.31  																																															|
% 42.81/13.31  																																																| Combining equations (824,416) yields a new equation:
% 42.81/13.31  																																																| (772) e3 = e1
% 42.81/13.31  																																																|
% 42.81/13.31  																																																| Equations (772) can reduce 20 to:
% 42.81/13.31  																																																| (311) $false
% 42.81/13.31  																																																|
% 42.81/13.31  																																																|-The branch is then unsatisfiable
% 42.81/13.31  																																															|-Branch two:
% 42.81/13.31  																																															| (828)  ~ (all_0_80_80 = e1)
% 42.81/13.31  																																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.31  																																															|
% 42.81/13.31  																																																| Equations (416) can reduce 828 to:
% 42.81/13.31  																																																| (20)  ~ (e3 = e1)
% 42.81/13.31  																																																|
% 42.81/13.31  																																																+-Applying beta-rule and splitting (794), into two cases.
% 42.81/13.31  																																																|-Branch one:
% 42.81/13.31  																																																| (754) all_0_90_90 = e3
% 42.81/13.31  																																																|
% 42.81/13.31  																																																	| Combining equations (750,754) yields a new equation:
% 42.81/13.31  																																																	| (772) e3 = e1
% 42.81/13.31  																																																	|
% 42.81/13.31  																																																	| Equations (772) can reduce 20 to:
% 42.81/13.31  																																																	| (311) $false
% 42.81/13.31  																																																	|
% 42.81/13.31  																																																	|-The branch is then unsatisfiable
% 42.81/13.31  																																																|-Branch two:
% 42.81/13.31  																																																| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.31  																																																| (744) all_0_95_95 = e3
% 42.81/13.31  																																																|
% 42.81/13.31  																																																	| Equations (744) can reduce 765 to:
% 42.81/13.31  																																																	| (311) $false
% 42.81/13.31  																																																	|
% 42.81/13.31  																																																	|-The branch is then unsatisfiable
% 42.81/13.31  																																										|-Branch two:
% 42.81/13.31  																																										| (2347)  ~ (all_0_80_80 = e3)
% 42.81/13.31  																																										| (635) all_0_81_81 = e3
% 42.81/13.31  																																										|
% 42.81/13.31  																																											| Combining equations (473,635) yields a new equation:
% 42.81/13.31  																																											| (548) e3 = e2
% 42.81/13.31  																																											|
% 42.81/13.31  																																											| Equations (548) can reduce 169 to:
% 42.81/13.31  																																											| (311) $false
% 42.81/13.31  																																											|
% 42.81/13.31  																																											|-The branch is then unsatisfiable
% 42.81/13.31  																																					|-Branch two:
% 42.81/13.31  																																					| (678)  ~ (all_0_90_90 = e1)
% 42.81/13.31  																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 42.81/13.31  																																					|
% 42.81/13.31  																																						+-Applying beta-rule and splitting (1915), into two cases.
% 42.81/13.31  																																						|-Branch one:
% 42.81/13.31  																																						| (583) all_0_90_90 = e4
% 42.81/13.31  																																						|
% 42.81/13.31  																																							| Equations (583) can reduce 467 to:
% 42.81/13.31  																																							| (311) $false
% 42.81/13.31  																																							|
% 42.81/13.31  																																							|-The branch is then unsatisfiable
% 42.81/13.31  																																						|-Branch two:
% 42.81/13.31  																																						| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.31  																																						| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.31  																																						|
% 42.81/13.31  																																							+-Applying beta-rule and splitting (753), into two cases.
% 42.81/13.31  																																							|-Branch one:
% 42.81/13.31  																																							| (754) all_0_90_90 = e3
% 42.81/13.31  																																							|
% 42.81/13.31  																																								| Equations (754) can reduce 745 to:
% 42.81/13.31  																																								| (311) $false
% 42.81/13.31  																																								|
% 42.81/13.31  																																								|-The branch is then unsatisfiable
% 42.81/13.31  																																							|-Branch two:
% 42.81/13.31  																																							| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.31  																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 42.81/13.31  																																							|
% 42.81/13.31  																																								+-Applying beta-rule and splitting (757), into two cases.
% 42.81/13.31  																																								|-Branch one:
% 42.81/13.31  																																								| (758) all_0_90_90 = e0
% 42.81/13.31  																																								|
% 42.81/13.31  																																									| Equations (758) can reduce 762 to:
% 42.81/13.31  																																									| (311) $false
% 42.81/13.31  																																									|
% 42.81/13.31  																																									|-The branch is then unsatisfiable
% 42.81/13.31  																																								|-Branch two:
% 42.81/13.31  																																								| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.31  																																								| (583) all_0_90_90 = e4
% 42.81/13.31  																																								|
% 42.81/13.31  																																									| Equations (583) can reduce 467 to:
% 42.81/13.31  																																									| (311) $false
% 42.81/13.31  																																									|
% 42.81/13.31  																																									|-The branch is then unsatisfiable
% 42.81/13.31  																																	|-Branch two:
% 42.81/13.31  																																	| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.31  																																	| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.81/13.31  																																	|
% 42.81/13.31  																																		+-Applying beta-rule and splitting (603), into two cases.
% 42.81/13.31  																																		|-Branch one:
% 42.81/13.31  																																		| (604) all_0_93_93 = e0
% 42.81/13.31  																																		|
% 42.81/13.31  																																			| Equations (604) can reduce 509 to:
% 42.81/13.31  																																			| (311) $false
% 42.81/13.31  																																			|
% 42.81/13.31  																																			|-The branch is then unsatisfiable
% 42.81/13.31  																																		|-Branch two:
% 42.81/13.31  																																		| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.31  																																		| (607) all_0_93_93 = e4
% 42.81/13.31  																																		|
% 42.81/13.31  																																			| Equations (607) can reduce 496 to:
% 42.81/13.31  																																			| (311) $false
% 42.81/13.31  																																			|
% 42.81/13.31  																																			|-The branch is then unsatisfiable
% 42.81/13.31  																													|-Branch two:
% 42.81/13.31  																													| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.31  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 42.81/13.31  																													|
% 42.81/13.31  																														+-Applying beta-rule and splitting (2205), into two cases.
% 42.81/13.31  																														|-Branch one:
% 42.81/13.31  																														| (789) all_0_82_82 = e3
% 42.81/13.31  																														|
% 42.81/13.31  																															| Equations (789) can reduce 793 to:
% 42.81/13.31  																															| (311) $false
% 42.81/13.31  																															|
% 42.81/13.31  																															|-The branch is then unsatisfiable
% 42.81/13.31  																														|-Branch two:
% 42.81/13.31  																														| (793)  ~ (all_0_82_82 = e3)
% 42.81/13.31  																														| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 42.81/13.31  																														|
% 42.81/13.31  																															+-Applying beta-rule and splitting (254), into two cases.
% 42.81/13.31  																															|-Branch one:
% 42.81/13.31  																															| (910) all_0_82_82 = e0
% 42.81/13.31  																															|
% 42.81/13.31  																																| Equations (910) can reduce 914 to:
% 42.81/13.31  																																| (311) $false
% 42.81/13.31  																																|
% 42.81/13.31  																																|-The branch is then unsatisfiable
% 42.81/13.31  																															|-Branch two:
% 42.81/13.31  																															| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.31  																															| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.31  																															|
% 42.81/13.31  																																+-Applying beta-rule and splitting (915), into two cases.
% 42.81/13.31  																																|-Branch one:
% 42.81/13.31  																																| (378) all_0_86_86 = e0
% 42.81/13.31  																																|
% 42.81/13.31  																																	| Combining equations (378,345) yields a new equation:
% 42.81/13.31  																																	| (379) e2 = e0
% 42.81/13.31  																																	|
% 42.81/13.31  																																	| Equations (379) can reduce 76 to:
% 42.81/13.31  																																	| (311) $false
% 42.81/13.31  																																	|
% 42.81/13.31  																																	|-The branch is then unsatisfiable
% 42.81/13.31  																																|-Branch two:
% 42.81/13.31  																																| (381)  ~ (all_0_86_86 = e0)
% 42.81/13.31  																																| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.31  																																|
% 42.81/13.31  																																	+-Applying beta-rule and splitting (927), into two cases.
% 42.81/13.31  																																	|-Branch one:
% 42.81/13.31  																																	| (758) all_0_90_90 = e0
% 42.81/13.31  																																	|
% 42.81/13.31  																																		| Equations (758) can reduce 762 to:
% 42.81/13.31  																																		| (311) $false
% 42.81/13.31  																																		|
% 42.81/13.31  																																		|-The branch is then unsatisfiable
% 42.81/13.31  																																	|-Branch two:
% 42.81/13.31  																																	| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.31  																																	| (858) all_0_95_95 = e0
% 42.81/13.31  																																	|
% 42.81/13.31  																																		| Equations (858) can reduce 200 to:
% 42.81/13.31  																																		| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.31  																																		|
% 42.81/13.31  																																		+-Applying beta-rule and splitting (2706), into two cases.
% 42.81/13.31  																																		|-Branch one:
% 42.81/13.31  																																		| (910) all_0_82_82 = e0
% 42.81/13.31  																																		|
% 42.81/13.31  																																			| Equations (910) can reduce 914 to:
% 42.81/13.31  																																			| (311) $false
% 42.81/13.31  																																			|
% 42.81/13.31  																																			|-The branch is then unsatisfiable
% 42.81/13.31  																																		|-Branch two:
% 42.81/13.31  																																		| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.31  																																		| (469) all_0_82_82 = e4
% 42.81/13.31  																																		|
% 42.81/13.31  																																			| Equations (469) can reduce 465 to:
% 42.81/13.31  																																			| (311) $false
% 42.81/13.31  																																			|
% 42.81/13.31  																																			|-The branch is then unsatisfiable
% 42.81/13.31  																								|-Branch two:
% 42.81/13.31  																								| (640)  ~ (all_0_78_78 = e4)
% 42.81/13.31  																								| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 42.81/13.31  																								|
% 42.81/13.31  																									+-Applying beta-rule and splitting (24), into two cases.
% 42.81/13.31  																									|-Branch one:
% 42.81/13.31  																									| (400) all_0_78_78 = e2
% 42.81/13.31  																									|
% 42.81/13.31  																										| Equations (400) can reduce 346 to:
% 42.81/13.31  																										| (311) $false
% 42.81/13.31  																										|
% 42.81/13.31  																										|-The branch is then unsatisfiable
% 42.81/13.31  																									|-Branch two:
% 42.81/13.31  																									| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.31  																									| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 42.81/13.31  																									|
% 42.81/13.31  																										+-Applying beta-rule and splitting (641), into two cases.
% 42.81/13.31  																										|-Branch one:
% 42.81/13.31  																										| (433) all_0_80_80 = e4
% 42.81/13.31  																										|
% 42.81/13.31  																											| Equations (433) can reduce 67 to:
% 42.81/13.31  																											| (640)  ~ (all_0_78_78 = e4)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Equations (433) can reduce 49 to:
% 42.81/13.31  																											| (1906)  ~ (all_0_92_92 = e4)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Simplifying 1906 yields:
% 42.81/13.31  																											| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Equations (433) can reduce 202 to:
% 42.81/13.31  																											| (318)  ~ (all_0_97_97 = e4)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Simplifying 318 yields:
% 42.81/13.31  																											| (319)  ~ (all_0_97_97 = e4)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Equations (433) can reduce 394 to:
% 42.81/13.31  																											| (79)  ~ (e4 = e2)
% 42.81/13.31  																											|
% 42.81/13.31  																											| Equations (433) can reduce 166 to:
% 42.81/13.31  																											| (23)  ~ (e4 = e0)
% 42.81/13.31  																											|
% 42.81/13.31  																											| From (433) and (233) follows:
% 42.81/13.31  																											| (4027) op(e1, e4) = all_0_60_60
% 42.81/13.31  																											|
% 42.81/13.31  																											+-Applying beta-rule and splitting (106), into two cases.
% 42.81/13.31  																											|-Branch one:
% 42.81/13.31  																											| (771) all_0_78_78 = e3
% 42.81/13.31  																											|
% 42.81/13.31  																												| Equations (771) can reduce 193 to:
% 42.81/13.31  																												| (3271)  ~ (all_0_82_82 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Simplifying 3271 yields:
% 42.81/13.31  																												| (793)  ~ (all_0_82_82 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Equations (771) can reduce 85 to:
% 42.81/13.31  																												| (1815)  ~ (all_0_90_90 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Simplifying 1815 yields:
% 42.81/13.31  																												| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Equations (771) can reduce 125 to:
% 42.81/13.31  																												| (1070)  ~ (all_0_95_95 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Simplifying 1070 yields:
% 42.81/13.31  																												| (765)  ~ (all_0_95_95 = e3)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Equations (771) can reduce 346 to:
% 42.81/13.31  																												| (169)  ~ (e3 = e2)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Equations (771) can reduce 86 to:
% 42.81/13.31  																												| (50)  ~ (e3 = e0)
% 42.81/13.31  																												|
% 42.81/13.31  																												| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 42.81/13.31  																												| (4076) all_0_60_60 = e2
% 42.81/13.31  																												|
% 42.81/13.31  																												+-Applying beta-rule and splitting (276), into two cases.
% 42.81/13.31  																												|-Branch one:
% 42.81/13.31  																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.81/13.31  																												|
% 42.81/13.31  																													+-Applying beta-rule and splitting (577), into two cases.
% 42.81/13.31  																													|-Branch one:
% 42.81/13.31  																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.81/13.31  																													|
% 42.81/13.31  																														+-Applying beta-rule and splitting (578), into two cases.
% 42.81/13.31  																														|-Branch one:
% 42.81/13.31  																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.81/13.31  																														|
% 42.81/13.31  																															| Applying alpha-rule on (579) yields:
% 42.81/13.31  																															| (580) all_0_60_60 = e4
% 42.81/13.31  																															| (581)  ~ (all_0_61_61 = e1)
% 42.81/13.31  																															|
% 42.81/13.31  																															| Combining equations (580,4076) yields a new equation:
% 42.81/13.31  																															| (309) e4 = e2
% 42.81/13.31  																															|
% 42.81/13.31  																															| Simplifying 309 yields:
% 42.81/13.31  																															| (310) e4 = e2
% 42.81/13.31  																															|
% 42.81/13.31  																															| Equations (310) can reduce 79 to:
% 42.81/13.31  																															| (311) $false
% 42.81/13.31  																															|
% 42.81/13.31  																															|-The branch is then unsatisfiable
% 42.81/13.31  																														|-Branch two:
% 42.81/13.31  																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.81/13.31  																														|
% 42.81/13.31  																															| Applying alpha-rule on (585) yields:
% 42.81/13.31  																															| (586) all_0_62_62 = e3
% 42.81/13.31  																															| (587)  ~ (all_0_63_63 = e1)
% 42.81/13.31  																															|
% 42.81/13.31  																															| Combining equations (8348,586) yields a new equation:
% 42.81/13.31  																															| (600) e3 = e0
% 42.81/13.31  																															|
% 42.81/13.31  																															| Equations (600) can reduce 50 to:
% 42.81/13.31  																															| (311) $false
% 42.81/13.31  																															|
% 42.81/13.31  																															|-The branch is then unsatisfiable
% 42.81/13.31  																													|-Branch two:
% 42.81/13.31  																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.81/13.31  																													|
% 42.81/13.31  																														| Applying alpha-rule on (590) yields:
% 42.81/13.31  																														| (591) all_0_64_64 = e2
% 42.81/13.31  																														| (592)  ~ (all_0_65_65 = e1)
% 42.81/13.31  																														|
% 42.81/13.31  																														| Combining equations (591,8320) yields a new equation:
% 42.81/13.31  																														| (522) all_0_93_93 = e2
% 42.81/13.31  																														|
% 42.81/13.31  																														| Equations (522) can reduce 300 to:
% 42.81/13.31  																														| (311) $false
% 42.81/13.31  																														|
% 42.81/13.31  																														|-The branch is then unsatisfiable
% 42.81/13.31  																												|-Branch two:
% 42.81/13.31  																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.81/13.31  																												|
% 42.81/13.31  																													| Applying alpha-rule on (596) yields:
% 42.81/13.31  																													| (597) all_0_67_67 = e0
% 42.81/13.31  																													| (598)  ~ (all_0_68_68 = e1)
% 42.81/13.31  																													|
% 42.81/13.31  																													| From (597) and (252) follows:
% 42.81/13.31  																													| (8666) op(e1, all_0_97_97) = e0
% 42.81/13.31  																													|
% 42.81/13.31  																													+-Applying beta-rule and splitting (109), into two cases.
% 42.81/13.31  																													|-Branch one:
% 42.81/13.31  																													| (469) all_0_82_82 = e4
% 42.81/13.31  																													|
% 42.81/13.31  																														| Equations (469) can reduce 255 to:
% 42.81/13.31  																														| (466)  ~ (all_0_90_90 = e4)
% 42.81/13.31  																														|
% 42.81/13.31  																														| Simplifying 466 yields:
% 42.81/13.31  																														| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.31  																														|
% 42.81/13.31  																														| Equations (469) can reduce 793 to:
% 42.81/13.31  																														| (177)  ~ (e4 = e3)
% 42.81/13.31  																														|
% 42.81/13.31  																														| Equations (469) can reduce 347 to:
% 42.81/13.31  																														| (79)  ~ (e4 = e2)
% 42.81/13.31  																														|
% 42.81/13.31  																														+-Applying beta-rule and splitting (46), into two cases.
% 42.81/13.31  																														|-Branch one:
% 42.81/13.31  																														| (308) all_0_89_89 = e4
% 42.81/13.31  																														|
% 42.81/13.31  																															| Combining equations (292,308) yields a new equation:
% 42.81/13.31  																															| (310) e4 = e2
% 42.81/13.31  																															|
% 42.81/13.31  																															| Equations (310) can reduce 79 to:
% 42.81/13.31  																															| (311) $false
% 42.81/13.31  																															|
% 42.81/13.31  																															|-The branch is then unsatisfiable
% 42.81/13.31  																														|-Branch two:
% 42.81/13.31  																														| (312)  ~ (all_0_89_89 = e4)
% 42.81/13.31  																														| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.31  																														|
% 42.81/13.31  																															+-Applying beta-rule and splitting (254), into two cases.
% 42.81/13.31  																															|-Branch one:
% 42.81/13.31  																															| (910) all_0_82_82 = e0
% 42.81/13.31  																															|
% 42.81/13.31  																																| Combining equations (469,910) yields a new equation:
% 42.81/13.31  																																| (911) e4 = e0
% 42.81/13.31  																																|
% 42.81/13.31  																																| Simplifying 911 yields:
% 42.81/13.31  																																| (912) e4 = e0
% 42.81/13.31  																																|
% 42.81/13.31  																																| Equations (912) can reduce 23 to:
% 42.81/13.31  																																| (311) $false
% 42.81/13.31  																																|
% 42.81/13.31  																																|-The branch is then unsatisfiable
% 42.81/13.31  																															|-Branch two:
% 42.81/13.31  																															| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.31  																															| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.31  																															|
% 42.81/13.31  																																+-Applying beta-rule and splitting (1915), into two cases.
% 42.81/13.31  																																|-Branch one:
% 42.81/13.31  																																| (583) all_0_90_90 = e4
% 42.81/13.31  																																|
% 42.81/13.31  																																	| Equations (583) can reduce 467 to:
% 42.81/13.31  																																	| (311) $false
% 42.81/13.31  																																	|
% 42.81/13.31  																																	|-The branch is then unsatisfiable
% 42.81/13.31  																																|-Branch two:
% 42.81/13.31  																																| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.31  																																| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.31  																																|
% 42.81/13.31  																																	+-Applying beta-rule and splitting (27), into two cases.
% 42.81/13.31  																																	|-Branch one:
% 42.81/13.31  																																	| (746) all_0_90_90 = e2
% 42.81/13.31  																																	|
% 42.81/13.31  																																		| Equations (746) can reduce 294 to:
% 42.81/13.31  																																		| (311) $false
% 42.81/13.31  																																		|
% 42.81/13.31  																																		|-The branch is then unsatisfiable
% 42.81/13.31  																																	|-Branch two:
% 42.81/13.31  																																	| (294)  ~ (all_0_90_90 = e2)
% 42.81/13.31  																																	| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 42.81/13.31  																																	|
% 42.81/13.31  																																		+-Applying beta-rule and splitting (749), into two cases.
% 42.81/13.31  																																		|-Branch one:
% 42.81/13.31  																																		| (750) all_0_90_90 = e1
% 42.81/13.31  																																		|
% 42.81/13.31  																																			| Equations (750) can reduce 72 to:
% 42.81/13.32  																																			| (2131)  ~ (all_0_92_92 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| Simplifying 2131 yields:
% 42.81/13.32  																																			| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| Equations (750) can reduce 229 to:
% 42.81/13.32  																																			| (679)  ~ (all_0_95_95 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| Simplifying 679 yields:
% 42.81/13.32  																																			| (680)  ~ (all_0_95_95 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| Equations (750) can reduce 467 to:
% 42.81/13.32  																																			| (681)  ~ (e4 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| Simplifying 681 yields:
% 42.81/13.32  																																			| (256)  ~ (e4 = e1)
% 42.81/13.32  																																			|
% 42.81/13.32  																																			| From (750) and (35) follows:
% 42.81/13.32  																																			| (8434) op(e1, e1) = all_0_49_49
% 42.81/13.32  																																			|
% 42.81/13.32  																																			+-Applying beta-rule and splitting (151), into two cases.
% 42.81/13.32  																																			|-Branch one:
% 42.81/13.32  																																			| (824) all_0_80_80 = e1
% 42.81/13.32  																																			|
% 42.81/13.32  																																				| Combining equations (824,433) yields a new equation:
% 42.81/13.32  																																				| (814) e4 = e1
% 42.81/13.32  																																				|
% 42.81/13.32  																																				| Equations (814) can reduce 256 to:
% 42.81/13.32  																																				| (311) $false
% 42.81/13.32  																																				|
% 42.81/13.32  																																				|-The branch is then unsatisfiable
% 42.81/13.32  																																			|-Branch two:
% 42.81/13.32  																																			| (828)  ~ (all_0_80_80 = e1)
% 42.81/13.32  																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.32  																																			|
% 42.81/13.32  																																				+-Applying beta-rule and splitting (176), into two cases.
% 42.81/13.32  																																				|-Branch one:
% 42.81/13.32  																																				| (785) all_0_95_95 = e1
% 42.81/13.32  																																				|
% 42.81/13.32  																																					| Equations (785) can reduce 680 to:
% 42.81/13.32  																																					| (311) $false
% 42.81/13.32  																																					|
% 42.81/13.32  																																					|-The branch is then unsatisfiable
% 42.81/13.32  																																				|-Branch two:
% 42.81/13.32  																																				| (680)  ~ (all_0_95_95 = e1)
% 42.81/13.32  																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 42.81/13.32  																																				|
% 42.81/13.32  																																					+-Applying beta-rule and splitting (182), into two cases.
% 42.81/13.32  																																					|-Branch one:
% 42.81/13.32  																																					| (512) all_0_85_85 = e2
% 42.81/13.32  																																					|
% 42.81/13.32  																																						| Equations (512) can reduce 515 to:
% 42.81/13.32  																																						| (311) $false
% 42.81/13.32  																																						|
% 42.81/13.32  																																						|-The branch is then unsatisfiable
% 42.81/13.32  																																					|-Branch two:
% 42.81/13.32  																																					| (515)  ~ (all_0_85_85 = e2)
% 42.81/13.32  																																					| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 42.81/13.32  																																					|
% 42.81/13.32  																																						+-Applying beta-rule and splitting (99), into two cases.
% 42.81/13.32  																																						|-Branch one:
% 42.81/13.32  																																						| (767) all_0_95_95 = e2
% 42.81/13.32  																																						|
% 42.81/13.32  																																							| Equations (767) can reduce 355 to:
% 42.81/13.32  																																							| (311) $false
% 42.81/13.32  																																							|
% 42.81/13.32  																																							|-The branch is then unsatisfiable
% 42.81/13.32  																																						|-Branch two:
% 42.81/13.32  																																						| (355)  ~ (all_0_95_95 = e2)
% 42.81/13.32  																																						| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 42.81/13.32  																																						|
% 42.81/13.32  																																							+-Applying beta-rule and splitting (770), into two cases.
% 42.81/13.32  																																							|-Branch one:
% 42.81/13.32  																																							| (785) all_0_95_95 = e1
% 42.81/13.32  																																							|
% 42.81/13.32  																																								| Equations (785) can reduce 680 to:
% 42.81/13.32  																																								| (311) $false
% 42.81/13.32  																																								|
% 42.81/13.32  																																								|-The branch is then unsatisfiable
% 42.81/13.32  																																							|-Branch two:
% 42.81/13.32  																																							| (680)  ~ (all_0_95_95 = e1)
% 42.81/13.32  																																							| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 42.81/13.32  																																							|
% 42.81/13.32  																																								+-Applying beta-rule and splitting (1928), into two cases.
% 42.81/13.32  																																								|-Branch one:
% 42.81/13.32  																																								| (442) all_0_92_92 = e4
% 42.81/13.32  																																								|
% 42.81/13.32  																																									| Equations (442) can reduce 1619 to:
% 42.81/13.32  																																									| (311) $false
% 42.81/13.32  																																									|
% 42.81/13.32  																																									|-The branch is then unsatisfiable
% 42.81/13.32  																																								|-Branch two:
% 42.81/13.32  																																								| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.32  																																								| (607) all_0_93_93 = e4
% 42.81/13.32  																																								|
% 42.81/13.32  																																									| Equations (607) can reduce 201 to:
% 42.81/13.32  																																									| (648)  ~ (all_0_85_85 = e4)
% 42.81/13.32  																																									|
% 42.81/13.32  																																									| Equations (607) can reduce 13 to:
% 42.81/13.32  																																									| (320)  ~ (all_0_98_98 = e4)
% 42.81/13.32  																																									|
% 42.81/13.32  																																									| Simplifying 320 yields:
% 42.81/13.32  																																									| (321)  ~ (all_0_98_98 = e4)
% 42.81/13.32  																																									|
% 42.81/13.32  																																									+-Applying beta-rule and splitting (250), into two cases.
% 42.81/13.32  																																									|-Branch one:
% 42.81/13.32  																																									| (635) all_0_81_81 = e3
% 42.81/13.32  																																									|
% 42.81/13.32  																																										| Combining equations (473,635) yields a new equation:
% 42.81/13.32  																																										| (548) e3 = e2
% 42.81/13.32  																																										|
% 42.81/13.32  																																										| Equations (548) can reduce 169 to:
% 42.81/13.32  																																										| (311) $false
% 42.81/13.32  																																										|
% 42.81/13.32  																																										|-The branch is then unsatisfiable
% 42.81/13.32  																																									|-Branch two:
% 42.81/13.32  																																									| (420)  ~ (all_0_81_81 = e3)
% 42.81/13.32  																																									| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.32  																																									|
% 42.81/13.32  																																										+-Applying beta-rule and splitting (725), into two cases.
% 42.81/13.32  																																										|-Branch one:
% 42.81/13.32  																																										| (804) all_0_85_85 = e3
% 42.81/13.32  																																										|
% 42.81/13.32  																																											| Equations (804) can reduce 952 to:
% 42.81/13.32  																																											| (311) $false
% 42.81/13.32  																																											|
% 42.81/13.32  																																											|-The branch is then unsatisfiable
% 42.81/13.32  																																										|-Branch two:
% 42.81/13.32  																																										| (952)  ~ (all_0_85_85 = e3)
% 42.81/13.32  																																										| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 42.81/13.32  																																										|
% 42.81/13.32  																																											+-Applying beta-rule and splitting (4488), into two cases.
% 42.81/13.32  																																											|-Branch one:
% 42.81/13.32  																																											| (804) all_0_85_85 = e3
% 42.81/13.32  																																											|
% 42.81/13.32  																																												| Equations (804) can reduce 952 to:
% 42.81/13.32  																																												| (311) $false
% 42.81/13.32  																																												|
% 42.81/13.32  																																												|-The branch is then unsatisfiable
% 42.81/13.32  																																											|-Branch two:
% 42.81/13.32  																																											| (952)  ~ (all_0_85_85 = e3)
% 42.81/13.32  																																											| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.32  																																											|
% 42.81/13.32  																																												+-Applying beta-rule and splitting (4559), into two cases.
% 42.81/13.32  																																												|-Branch one:
% 42.81/13.32  																																												| (570) all_0_93_93 = e3
% 42.81/13.32  																																												|
% 42.81/13.32  																																													| Combining equations (570,607) yields a new equation:
% 42.81/13.32  																																													| (434) e4 = e3
% 42.81/13.32  																																													|
% 42.81/13.32  																																													| Equations (434) can reduce 177 to:
% 42.81/13.32  																																													| (311) $false
% 42.81/13.32  																																													|
% 42.81/13.32  																																													|-The branch is then unsatisfiable
% 42.81/13.32  																																												|-Branch two:
% 42.81/13.32  																																												| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.32  																																												| (969) all_0_98_98 = e3
% 42.81/13.32  																																												|
% 42.81/13.32  																																													| Equations (969) can reduce 148 to:
% 42.81/13.32  																																													| (428)  ~ (all_0_97_97 = e3)
% 42.81/13.32  																																													|
% 42.81/13.32  																																													| Equations (969) can reduce 321 to:
% 42.81/13.32  																																													| (783)  ~ (e4 = e3)
% 42.81/13.32  																																													|
% 42.81/13.32  																																													| Simplifying 783 yields:
% 42.81/13.32  																																													| (177)  ~ (e4 = e3)
% 42.81/13.32  																																													|
% 42.81/13.32  																																													| Equations (969) can reduce 1349 to:
% 42.81/13.32  																																													| (169)  ~ (e3 = e2)
% 42.81/13.32  																																													|
% 42.81/13.32  																																													+-Applying beta-rule and splitting (289), into two cases.
% 42.81/13.32  																																													|-Branch one:
% 42.81/13.32  																																													| (954) all_0_85_85 = e0
% 42.81/13.32  																																													|
% 42.81/13.32  																																														| Equations (954) can reduce 515 to:
% 42.81/13.32  																																														| (510)  ~ (e2 = e0)
% 42.81/13.32  																																														|
% 42.81/13.32  																																														| Simplifying 510 yields:
% 42.81/13.32  																																														| (76)  ~ (e2 = e0)
% 42.81/13.32  																																														|
% 42.81/13.32  																																														| Equations (954) can reduce 128 to:
% 42.81/13.32  																																														| (859)  ~ (e1 = e0)
% 42.81/13.32  																																														|
% 42.81/13.32  																																														| Simplifying 859 yields:
% 42.81/13.32  																																														| (264)  ~ (e1 = e0)
% 42.81/13.32  																																														|
% 42.81/13.32  																																														+-Applying beta-rule and splitting (102), into two cases.
% 42.81/13.32  																																														|-Branch one:
% 42.81/13.32  																																														| (858) all_0_95_95 = e0
% 42.81/13.32  																																														|
% 42.81/13.32  																																															| Equations (858) can reduce 680 to:
% 42.81/13.32  																																															| (859)  ~ (e1 = e0)
% 42.81/13.32  																																															|
% 42.81/13.32  																																															| Simplifying 859 yields:
% 42.81/13.32  																																															| (264)  ~ (e1 = e0)
% 42.81/13.32  																																															|
% 42.81/13.32  																																															+-Applying beta-rule and splitting (207), into two cases.
% 42.81/13.32  																																															|-Branch one:
% 42.81/13.32  																																															| (416) all_0_80_80 = e3
% 42.81/13.32  																																															|
% 42.81/13.32  																																																| Combining equations (416,433) yields a new equation:
% 42.81/13.32  																																																| (434) e4 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																| Equations (434) can reduce 177 to:
% 42.81/13.32  																																																| (311) $false
% 42.81/13.32  																																																|
% 42.81/13.32  																																																|-The branch is then unsatisfiable
% 42.81/13.32  																																															|-Branch two:
% 42.81/13.32  																																															| (2347)  ~ (all_0_80_80 = e3)
% 42.81/13.32  																																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.32  																																															|
% 42.81/13.32  																																																+-Applying beta-rule and splitting (2481), into two cases.
% 42.81/13.32  																																																|-Branch one:
% 42.81/13.32  																																																| (1265) all_0_84_84 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																	| Combining equations (552,1265) yields a new equation:
% 42.81/13.32  																																																	| (548) e3 = e2
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																	| Equations (548) can reduce 169 to:
% 42.81/13.32  																																																	| (311) $false
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																	|-The branch is then unsatisfiable
% 42.81/13.32  																																																|-Branch two:
% 42.81/13.32  																																																| (422)  ~ (all_0_84_84 = e3)
% 42.81/13.32  																																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																	+-Applying beta-rule and splitting (3765), into two cases.
% 42.81/13.32  																																																	|-Branch one:
% 42.81/13.32  																																																	| (882) all_0_92_92 = e3
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																		| Equations (882) can reduce 840 to:
% 42.81/13.32  																																																		| (20)  ~ (e3 = e1)
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		| Equations (882) can reduce 946 to:
% 42.81/13.32  																																																		| (50)  ~ (e3 = e0)
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		| From (882) and (135) follows:
% 42.81/13.32  																																																		| (8770) op(e1, e1) = e3
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		+-Applying beta-rule and splitting (112), into two cases.
% 42.81/13.32  																																																		|-Branch one:
% 42.81/13.32  																																																		| (538) all_0_97_97 = e2
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																			| Equations (538) can reduce 527 to:
% 42.81/13.32  																																																			| (311) $false
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																			|-The branch is then unsatisfiable
% 42.81/13.32  																																																		|-Branch two:
% 42.81/13.32  																																																		| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.32  																																																		| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 42.81/13.32  																																																			|-Branch one:
% 42.81/13.32  																																																			| (482) all_0_87_87 = e1
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																				| Combining equations (861,482) yields a new equation:
% 42.81/13.32  																																																				| (865) e1 = e0
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																				| Equations (865) can reduce 264 to:
% 42.81/13.32  																																																				| (311) $false
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																				|-The branch is then unsatisfiable
% 42.81/13.32  																																																			|-Branch two:
% 42.81/13.32  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.81/13.32  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																				+-Applying beta-rule and splitting (541), into two cases.
% 42.81/13.32  																																																				|-Branch one:
% 42.81/13.32  																																																				| (542) all_0_97_97 = e1
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																					| From (542) and (8666) follows:
% 42.81/13.32  																																																					| (4548) op(e1, e1) = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Instantiating formula (262) with e1, e1, e3, all_0_49_49 and discharging atoms op(e1, e1) = all_0_49_49, op(e1, e1) = e3, yields:
% 42.81/13.32  																																																					| (8782) all_0_49_49 = e3
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Instantiating formula (262) with e1, e1, e0, all_0_49_49 and discharging atoms op(e1, e1) = all_0_49_49, op(e1, e1) = e0, yields:
% 42.81/13.32  																																																					| (8783) all_0_49_49 = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Combining equations (8782,8783) yields a new equation:
% 42.81/13.32  																																																					| (599) e3 = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Simplifying 599 yields:
% 42.81/13.32  																																																					| (600) e3 = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Equations (600) can reduce 50 to:
% 42.81/13.32  																																																					| (311) $false
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					|-The branch is then unsatisfiable
% 42.81/13.32  																																																				|-Branch two:
% 42.81/13.32  																																																				| (486)  ~ (all_0_97_97 = e1)
% 42.81/13.32  																																																				| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																					+-Applying beta-rule and splitting (835), into two cases.
% 42.81/13.32  																																																					|-Branch one:
% 42.81/13.32  																																																					| (836) all_0_92_92 = e1
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																						| Combining equations (882,836) yields a new equation:
% 42.81/13.32  																																																						| (825) e3 = e1
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						| Simplifying 825 yields:
% 42.81/13.32  																																																						| (772) e3 = e1
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						| Equations (772) can reduce 20 to:
% 42.81/13.32  																																																						| (311) $false
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						|-The branch is then unsatisfiable
% 42.81/13.32  																																																					|-Branch two:
% 42.81/13.32  																																																					| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.32  																																																					| (542) all_0_97_97 = e1
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																						| Equations (542) can reduce 486 to:
% 42.81/13.32  																																																						| (311) $false
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						|-The branch is then unsatisfiable
% 42.81/13.32  																																																	|-Branch two:
% 42.81/13.32  																																																	| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.32  																																																	| (556) all_0_97_97 = e3
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																		| Equations (556) can reduce 428 to:
% 42.81/13.32  																																																		| (311) $false
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		|-The branch is then unsatisfiable
% 42.81/13.32  																																														|-Branch two:
% 42.81/13.32  																																														| (893)  ~ (all_0_95_95 = e0)
% 42.81/13.32  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 42.81/13.32  																																														|
% 42.81/13.32  																																															+-Applying beta-rule and splitting (207), into two cases.
% 42.81/13.32  																																															|-Branch one:
% 42.81/13.32  																																															| (416) all_0_80_80 = e3
% 42.81/13.32  																																															|
% 42.81/13.32  																																																| Combining equations (416,433) yields a new equation:
% 42.81/13.32  																																																| (434) e4 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																| Equations (434) can reduce 177 to:
% 42.81/13.32  																																																| (311) $false
% 42.81/13.32  																																																|
% 42.81/13.32  																																																|-The branch is then unsatisfiable
% 42.81/13.32  																																															|-Branch two:
% 42.81/13.32  																																															| (2347)  ~ (all_0_80_80 = e3)
% 42.81/13.32  																																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.32  																																															|
% 42.81/13.32  																																																+-Applying beta-rule and splitting (2481), into two cases.
% 42.81/13.32  																																																|-Branch one:
% 42.81/13.32  																																																| (1265) all_0_84_84 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																	| Combining equations (552,1265) yields a new equation:
% 42.81/13.32  																																																	| (548) e3 = e2
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																	| Equations (548) can reduce 169 to:
% 42.81/13.32  																																																	| (311) $false
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																	|-The branch is then unsatisfiable
% 42.81/13.32  																																																|-Branch two:
% 42.81/13.32  																																																| (422)  ~ (all_0_84_84 = e3)
% 42.81/13.32  																																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.32  																																																|
% 42.81/13.32  																																																	+-Applying beta-rule and splitting (3765), into two cases.
% 42.81/13.32  																																																	|-Branch one:
% 42.81/13.32  																																																	| (882) all_0_92_92 = e3
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																		| Equations (882) can reduce 840 to:
% 42.81/13.32  																																																		| (20)  ~ (e3 = e1)
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		+-Applying beta-rule and splitting (915), into two cases.
% 42.81/13.32  																																																		|-Branch one:
% 42.81/13.32  																																																		| (378) all_0_86_86 = e0
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																			| Combining equations (345,378) yields a new equation:
% 42.81/13.32  																																																			| (923) e2 = e0
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																			| Simplifying 923 yields:
% 42.81/13.32  																																																			| (379) e2 = e0
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																			| Equations (379) can reduce 76 to:
% 42.81/13.32  																																																			| (311) $false
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																			|-The branch is then unsatisfiable
% 42.81/13.32  																																																		|-Branch two:
% 42.81/13.32  																																																		| (381)  ~ (all_0_86_86 = e0)
% 42.81/13.32  																																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 42.81/13.32  																																																			|-Branch one:
% 42.81/13.32  																																																			| (482) all_0_87_87 = e1
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																				| Combining equations (482,861) yields a new equation:
% 42.81/13.32  																																																				| (1107) e1 = e0
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																				| Simplifying 1107 yields:
% 42.81/13.32  																																																				| (865) e1 = e0
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																				| Equations (865) can reduce 264 to:
% 42.81/13.32  																																																				| (311) $false
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																				|-The branch is then unsatisfiable
% 42.81/13.32  																																																			|-Branch two:
% 42.81/13.32  																																																			| (625)  ~ (all_0_87_87 = e1)
% 42.81/13.32  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.32  																																																			|
% 42.81/13.32  																																																				+-Applying beta-rule and splitting (835), into two cases.
% 42.81/13.32  																																																				|-Branch one:
% 42.81/13.32  																																																				| (836) all_0_92_92 = e1
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																					| Combining equations (882,836) yields a new equation:
% 42.81/13.32  																																																					| (825) e3 = e1
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Simplifying 825 yields:
% 42.81/13.32  																																																					| (772) e3 = e1
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					| Equations (772) can reduce 20 to:
% 42.81/13.32  																																																					| (311) $false
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					|-The branch is then unsatisfiable
% 42.81/13.32  																																																				|-Branch two:
% 42.81/13.32  																																																				| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.32  																																																				| (542) all_0_97_97 = e1
% 42.81/13.32  																																																				|
% 42.81/13.32  																																																					| Equations (542) can reduce 609 to:
% 42.81/13.32  																																																					| (264)  ~ (e1 = e0)
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																					+-Applying beta-rule and splitting (927), into two cases.
% 42.81/13.32  																																																					|-Branch one:
% 42.81/13.32  																																																					| (758) all_0_90_90 = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																						| Combining equations (750,758) yields a new equation:
% 42.81/13.32  																																																						| (1107) e1 = e0
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						| Simplifying 1107 yields:
% 42.81/13.32  																																																						| (865) e1 = e0
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						| Equations (865) can reduce 264 to:
% 42.81/13.32  																																																						| (311) $false
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						|-The branch is then unsatisfiable
% 42.81/13.32  																																																					|-Branch two:
% 42.81/13.32  																																																					| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.32  																																																					| (858) all_0_95_95 = e0
% 42.81/13.32  																																																					|
% 42.81/13.32  																																																						| Equations (858) can reduce 893 to:
% 42.81/13.32  																																																						| (311) $false
% 42.81/13.32  																																																						|
% 42.81/13.32  																																																						|-The branch is then unsatisfiable
% 42.81/13.32  																																																	|-Branch two:
% 42.81/13.32  																																																	| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.32  																																																	| (556) all_0_97_97 = e3
% 42.81/13.32  																																																	|
% 42.81/13.32  																																																		| Equations (556) can reduce 428 to:
% 42.81/13.32  																																																		| (311) $false
% 42.81/13.32  																																																		|
% 42.81/13.32  																																																		|-The branch is then unsatisfiable
% 42.81/13.32  																																													|-Branch two:
% 42.81/13.32  																																													| (800)  ~ (all_0_85_85 = e0)
% 42.81/13.32  																																													| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.32  																																													|
% 42.81/13.32  																																														+-Applying beta-rule and splitting (953), into two cases.
% 42.81/13.32  																																														|-Branch one:
% 42.81/13.32  																																														| (954) all_0_85_85 = e0
% 42.81/13.32  																																														|
% 42.81/13.32  																																															| Equations (954) can reduce 800 to:
% 42.81/13.32  																																															| (311) $false
% 42.81/13.32  																																															|
% 42.81/13.32  																																															|-The branch is then unsatisfiable
% 42.81/13.32  																																														|-Branch two:
% 42.81/13.32  																																														| (800)  ~ (all_0_85_85 = e0)
% 42.81/13.32  																																														| (493) all_0_85_85 = e4
% 42.81/13.32  																																														|
% 42.81/13.32  																																															| Equations (493) can reduce 648 to:
% 42.81/13.32  																																															| (311) $false
% 42.81/13.32  																																															|
% 42.81/13.32  																																															|-The branch is then unsatisfiable
% 42.81/13.33  																																		|-Branch two:
% 42.81/13.33  																																		| (678)  ~ (all_0_90_90 = e1)
% 42.81/13.33  																																		| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 42.81/13.33  																																		|
% 42.81/13.33  																																			+-Applying beta-rule and splitting (753), into two cases.
% 42.81/13.33  																																			|-Branch one:
% 42.81/13.33  																																			| (754) all_0_90_90 = e3
% 42.81/13.33  																																			|
% 42.81/13.33  																																				| Equations (754) can reduce 745 to:
% 42.81/13.33  																																				| (311) $false
% 42.81/13.33  																																				|
% 42.81/13.33  																																				|-The branch is then unsatisfiable
% 42.81/13.33  																																			|-Branch two:
% 42.81/13.33  																																			| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.33  																																			| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 42.81/13.33  																																			|
% 42.81/13.33  																																				+-Applying beta-rule and splitting (757), into two cases.
% 42.81/13.33  																																				|-Branch one:
% 42.81/13.33  																																				| (758) all_0_90_90 = e0
% 42.81/13.33  																																				|
% 42.81/13.33  																																					| Equations (758) can reduce 762 to:
% 42.81/13.33  																																					| (311) $false
% 42.81/13.33  																																					|
% 42.81/13.33  																																					|-The branch is then unsatisfiable
% 42.81/13.33  																																				|-Branch two:
% 42.81/13.33  																																				| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.33  																																				| (583) all_0_90_90 = e4
% 42.81/13.33  																																				|
% 42.81/13.33  																																					| Equations (583) can reduce 467 to:
% 42.81/13.33  																																					| (311) $false
% 42.81/13.33  																																					|
% 42.81/13.33  																																					|-The branch is then unsatisfiable
% 42.81/13.33  																													|-Branch two:
% 42.81/13.33  																													| (465)  ~ (all_0_82_82 = e4)
% 42.81/13.33  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 42.81/13.33  																													|
% 42.81/13.33  																														+-Applying beta-rule and splitting (472), into two cases.
% 42.81/13.33  																														|-Branch one:
% 42.81/13.33  																														| (438) all_0_84_84 = e4
% 42.81/13.33  																														|
% 42.81/13.33  																															| Combining equations (552,438) yields a new equation:
% 42.81/13.33  																															| (310) e4 = e2
% 42.81/13.33  																															|
% 42.81/13.33  																															| Equations (310) can reduce 79 to:
% 42.81/13.33  																															| (311) $false
% 42.81/13.33  																															|
% 42.81/13.33  																															|-The branch is then unsatisfiable
% 42.81/13.33  																														|-Branch two:
% 42.81/13.33  																														| (417)  ~ (all_0_84_84 = e4)
% 42.81/13.33  																														| (493) all_0_85_85 = e4
% 42.81/13.33  																														|
% 42.81/13.33  																															| Equations (493) can reduce 201 to:
% 42.81/13.33  																															| (495)  ~ (all_0_93_93 = e4)
% 42.81/13.33  																															|
% 42.81/13.33  																															| Simplifying 495 yields:
% 42.81/13.33  																															| (496)  ~ (all_0_93_93 = e4)
% 42.81/13.33  																															|
% 42.81/13.33  																															| Equations (493) can reduce 75 to:
% 42.81/13.33  																															| (320)  ~ (all_0_98_98 = e4)
% 42.81/13.33  																															|
% 42.81/13.33  																															| Simplifying 320 yields:
% 42.81/13.33  																															| (321)  ~ (all_0_98_98 = e4)
% 42.81/13.33  																															|
% 42.81/13.33  																															| Equations (493) can reduce 515 to:
% 42.81/13.33  																															| (79)  ~ (e4 = e2)
% 42.81/13.33  																															|
% 42.81/13.33  																															| Equations (493) can reduce 128 to:
% 42.81/13.33  																															| (256)  ~ (e4 = e1)
% 42.81/13.33  																															|
% 42.81/13.33  																															+-Applying beta-rule and splitting (289), into two cases.
% 42.81/13.33  																															|-Branch one:
% 42.81/13.33  																															| (954) all_0_85_85 = e0
% 42.81/13.33  																															|
% 42.81/13.33  																																| Combining equations (493,954) yields a new equation:
% 42.81/13.33  																																| (911) e4 = e0
% 42.81/13.33  																																|
% 42.81/13.33  																																| Simplifying 911 yields:
% 42.81/13.33  																																| (912) e4 = e0
% 42.81/13.33  																																|
% 42.81/13.33  																																| Equations (912) can reduce 23 to:
% 42.81/13.33  																																| (311) $false
% 42.81/13.33  																																|
% 42.81/13.33  																																|-The branch is then unsatisfiable
% 42.81/13.33  																															|-Branch two:
% 42.81/13.33  																															| (800)  ~ (all_0_85_85 = e0)
% 42.81/13.33  																															| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.33  																															|
% 42.81/13.33  																																| Equations (493) can reduce 800 to:
% 42.81/13.33  																																| (23)  ~ (e4 = e0)
% 42.81/13.33  																																|
% 42.81/13.33  																																+-Applying beta-rule and splitting (249), into two cases.
% 42.81/13.33  																																|-Branch one:
% 42.81/13.33  																																| (910) all_0_82_82 = e0
% 42.81/13.33  																																|
% 42.81/13.33  																																	| Equations (910) can reduce 793 to:
% 42.81/13.33  																																	| (906)  ~ (e3 = e0)
% 42.81/13.33  																																	|
% 42.81/13.33  																																	| Simplifying 906 yields:
% 42.81/13.33  																																	| (50)  ~ (e3 = e0)
% 42.81/13.33  																																	|
% 42.81/13.33  																																	| Equations (910) can reduce 198 to:
% 42.81/13.33  																																	| (859)  ~ (e1 = e0)
% 42.81/13.33  																																	|
% 42.81/13.33  																																	| Simplifying 859 yields:
% 42.81/13.33  																																	| (264)  ~ (e1 = e0)
% 42.81/13.33  																																	|
% 42.81/13.33  																																	+-Applying beta-rule and splitting (46), into two cases.
% 42.81/13.33  																																	|-Branch one:
% 42.81/13.33  																																	| (308) all_0_89_89 = e4
% 42.81/13.33  																																	|
% 42.81/13.33  																																		| Combining equations (292,308) yields a new equation:
% 42.81/13.33  																																		| (310) e4 = e2
% 42.81/13.33  																																		|
% 42.81/13.33  																																		| Equations (310) can reduce 79 to:
% 42.81/13.33  																																		| (311) $false
% 42.81/13.33  																																		|
% 42.81/13.33  																																		|-The branch is then unsatisfiable
% 42.81/13.33  																																	|-Branch two:
% 42.81/13.33  																																	| (312)  ~ (all_0_89_89 = e4)
% 42.81/13.33  																																	| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.33  																																	|
% 42.81/13.33  																																		+-Applying beta-rule and splitting (1915), into two cases.
% 42.81/13.33  																																		|-Branch one:
% 42.81/13.33  																																		| (583) all_0_90_90 = e4
% 42.81/13.33  																																		|
% 42.81/13.33  																																			| From (583) and (218) follows:
% 42.81/13.33  																																			| (4391) op(e1, e3) = e4
% 42.81/13.33  																																			|
% 42.81/13.33  																																			+-Applying beta-rule and splitting (132), into two cases.
% 42.81/13.33  																																			|-Branch one:
% 42.81/13.33  																																			| (750) all_0_90_90 = e1
% 42.81/13.33  																																			|
% 42.81/13.33  																																				| Combining equations (750,583) yields a new equation:
% 42.81/13.33  																																				| (814) e4 = e1
% 42.81/13.33  																																				|
% 42.81/13.33  																																				| Equations (814) can reduce 256 to:
% 42.81/13.33  																																				| (311) $false
% 42.81/13.33  																																				|
% 42.81/13.33  																																				|-The branch is then unsatisfiable
% 42.81/13.33  																																			|-Branch two:
% 42.81/13.33  																																			| (678)  ~ (all_0_90_90 = e1)
% 42.81/13.33  																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 42.81/13.33  																																			|
% 42.81/13.33  																																				+-Applying beta-rule and splitting (1077), into two cases.
% 42.81/13.33  																																				|-Branch one:
% 42.81/13.33  																																				| (507) all_0_88_88 = e0
% 42.81/13.33  																																				|
% 42.81/13.33  																																					| Combining equations (507,504) yields a new equation:
% 42.81/13.33  																																					| (865) e1 = e0
% 42.81/13.33  																																					|
% 42.81/13.33  																																					| Equations (865) can reduce 264 to:
% 42.81/13.33  																																					| (311) $false
% 42.81/13.33  																																					|
% 42.81/13.33  																																					|-The branch is then unsatisfiable
% 42.81/13.33  																																				|-Branch two:
% 42.81/13.33  																																				| (1110)  ~ (all_0_88_88 = e0)
% 42.81/13.33  																																				| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.33  																																				|
% 42.81/13.33  																																					| Equations (504) can reduce 1110 to:
% 42.81/13.33  																																					| (264)  ~ (e1 = e0)
% 42.81/13.33  																																					|
% 42.81/13.33  																																					+-Applying beta-rule and splitting (1526), into two cases.
% 42.81/13.33  																																					|-Branch one:
% 42.81/13.33  																																					| (801) all_0_91_91 = e1
% 42.81/13.33  																																					|
% 42.81/13.33  																																						| Combining equations (801,1456) yields a new equation:
% 42.81/13.33  																																						| (1107) e1 = e0
% 42.81/13.33  																																						|
% 42.81/13.33  																																						| Simplifying 1107 yields:
% 42.81/13.33  																																						| (865) e1 = e0
% 42.81/13.33  																																						|
% 42.81/13.33  																																						| Equations (865) can reduce 264 to:
% 42.81/13.33  																																						| (311) $false
% 42.81/13.33  																																						|
% 42.81/13.33  																																						|-The branch is then unsatisfiable
% 42.81/13.33  																																					|-Branch two:
% 42.81/13.33  																																					| (959)  ~ (all_0_91_91 = e1)
% 42.81/13.33  																																					| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 42.81/13.33  																																					|
% 42.81/13.33  																																						+-Applying beta-rule and splitting (1111), into two cases.
% 42.81/13.33  																																						|-Branch one:
% 42.81/13.33  																																						| (604) all_0_93_93 = e0
% 42.81/13.33  																																						|
% 42.81/13.33  																																							| Equations (604) can reduce 509 to:
% 42.81/13.33  																																							| (311) $false
% 42.81/13.33  																																							|
% 42.81/13.33  																																							|-The branch is then unsatisfiable
% 42.81/13.33  																																						|-Branch two:
% 42.81/13.33  																																						| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.33  																																						| (1121) all_0_98_98 = e0
% 42.81/13.33  																																						|
% 42.81/13.33  																																							| Equations (1121) can reduce 148 to:
% 42.81/13.33  																																							| (609)  ~ (all_0_97_97 = e0)
% 42.81/13.33  																																							|
% 42.81/13.33  																																							| Equations (1121) can reduce 321 to:
% 42.81/13.33  																																							| (904)  ~ (e4 = e0)
% 42.81/13.33  																																							|
% 42.81/13.33  																																							| Simplifying 904 yields:
% 42.81/13.33  																																							| (23)  ~ (e4 = e0)
% 42.81/13.33  																																							|
% 42.81/13.33  																																							+-Applying beta-rule and splitting (250), into two cases.
% 42.81/13.33  																																							|-Branch one:
% 42.81/13.33  																																							| (635) all_0_81_81 = e3
% 42.81/13.33  																																							|
% 42.81/13.33  																																								| Combining equations (635,473) yields a new equation:
% 42.81/13.33  																																								| (547) e3 = e2
% 42.81/13.33  																																								|
% 42.81/13.33  																																								| Simplifying 547 yields:
% 42.81/13.33  																																								| (548) e3 = e2
% 42.81/13.33  																																								|
% 42.81/13.33  																																								| Equations (548) can reduce 169 to:
% 42.81/13.33  																																								| (311) $false
% 42.81/13.33  																																								|
% 42.81/13.33  																																								|-The branch is then unsatisfiable
% 42.81/13.33  																																							|-Branch two:
% 42.81/13.33  																																							| (420)  ~ (all_0_81_81 = e3)
% 42.81/13.33  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.33  																																							|
% 42.81/13.33  																																								| Equations (473) can reduce 420 to:
% 42.81/13.33  																																								| (356)  ~ (e3 = e2)
% 42.81/13.33  																																								|
% 42.81/13.33  																																								| Simplifying 356 yields:
% 42.81/13.33  																																								| (169)  ~ (e3 = e2)
% 42.81/13.33  																																								|
% 42.81/13.33  																																								+-Applying beta-rule and splitting (270), into two cases.
% 42.81/13.33  																																								|-Branch one:
% 42.81/13.33  																																								| (744) all_0_95_95 = e3
% 42.81/13.33  																																								|
% 42.81/13.33  																																									| Equations (744) can reduce 765 to:
% 42.81/13.33  																																									| (311) $false
% 42.81/13.33  																																									|
% 42.81/13.33  																																									|-The branch is then unsatisfiable
% 42.81/13.33  																																								|-Branch two:
% 42.81/13.33  																																								| (765)  ~ (all_0_95_95 = e3)
% 42.81/13.33  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.81/13.33  																																								|
% 42.81/13.33  																																									+-Applying beta-rule and splitting (766), into two cases.
% 42.81/13.33  																																									|-Branch one:
% 42.81/13.33  																																									| (778) all_0_96_96 = e3
% 42.81/13.33  																																									|
% 42.81/13.33  																																										| Combining equations (1704,778) yields a new equation:
% 42.81/13.33  																																										| (548) e3 = e2
% 42.81/13.33  																																										|
% 42.81/13.33  																																										| Equations (548) can reduce 169 to:
% 42.81/13.33  																																										| (311) $false
% 42.81/13.33  																																										|
% 42.81/13.33  																																										|-The branch is then unsatisfiable
% 42.81/13.33  																																									|-Branch two:
% 42.81/13.33  																																									| (964)  ~ (all_0_96_96 = e3)
% 42.81/13.33  																																									| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.81/13.33  																																									|
% 42.81/13.33  																																										+-Applying beta-rule and splitting (965), into two cases.
% 42.81/13.33  																																										|-Branch one:
% 42.81/13.33  																																										| (556) all_0_97_97 = e3
% 42.81/13.33  																																										|
% 42.81/13.33  																																											| Equations (556) can reduce 258 to:
% 42.81/13.33  																																											| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| Equations (556) can reduce 319 to:
% 42.81/13.33  																																											| (783)  ~ (e4 = e3)
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| Simplifying 783 yields:
% 42.81/13.33  																																											| (177)  ~ (e4 = e3)
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| Equations (556) can reduce 609 to:
% 42.81/13.33  																																											| (50)  ~ (e3 = e0)
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| From (556) and (8666) follows:
% 42.81/13.33  																																											| (8938) op(e1, e3) = e0
% 42.81/13.33  																																											|
% 42.81/13.33  																																											+-Applying beta-rule and splitting (282), into two cases.
% 42.81/13.33  																																											|-Branch one:
% 42.81/13.33  																																											| (754) all_0_90_90 = e3
% 42.81/13.33  																																											|
% 42.81/13.33  																																												| Combining equations (583,754) yields a new equation:
% 42.81/13.33  																																												| (790) e4 = e3
% 42.81/13.33  																																												|
% 42.81/13.33  																																												| Simplifying 790 yields:
% 42.81/13.33  																																												| (434) e4 = e3
% 42.81/13.33  																																												|
% 42.81/13.33  																																												| Equations (434) can reduce 177 to:
% 42.81/13.33  																																												| (311) $false
% 42.81/13.33  																																												|
% 42.81/13.33  																																												|-The branch is then unsatisfiable
% 42.81/13.33  																																											|-Branch two:
% 42.81/13.33  																																											| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.33  																																											| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 42.81/13.33  																																											|
% 42.81/13.33  																																												+-Applying beta-rule and splitting (1556), into two cases.
% 42.81/13.33  																																												|-Branch one:
% 42.81/13.33  																																												| (836) all_0_92_92 = e1
% 42.81/13.33  																																												|
% 42.81/13.33  																																													| Equations (836) can reduce 426 to:
% 42.81/13.33  																																													| (683)  ~ (e3 = e1)
% 42.81/13.33  																																													|
% 42.81/13.33  																																													| Simplifying 683 yields:
% 42.81/13.33  																																													| (20)  ~ (e3 = e1)
% 42.81/13.33  																																													|
% 42.81/13.33  																																													+-Applying beta-rule and splitting (849), into two cases.
% 42.81/13.33  																																													|-Branch one:
% 42.81/13.33  																																													| (588) all_0_91_91 = e3
% 42.81/13.33  																																													|
% 42.81/13.33  																																														| Combining equations (1456,588) yields a new equation:
% 42.81/13.33  																																														| (600) e3 = e0
% 42.81/13.33  																																														|
% 42.81/13.33  																																														| Equations (600) can reduce 50 to:
% 42.81/13.33  																																														| (311) $false
% 42.81/13.33  																																														|
% 42.81/13.33  																																														|-The branch is then unsatisfiable
% 42.81/13.33  																																													|-Branch two:
% 42.81/13.33  																																													| (571)  ~ (all_0_91_91 = e3)
% 42.81/13.33  																																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 42.81/13.33  																																													|
% 42.81/13.33  																																														+-Applying beta-rule and splitting (881), into two cases.
% 42.81/13.33  																																														|-Branch one:
% 42.81/13.33  																																														| (882) all_0_92_92 = e3
% 42.81/13.33  																																														|
% 42.81/13.33  																																															| Combining equations (836,882) yields a new equation:
% 42.81/13.33  																																															| (772) e3 = e1
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Equations (772) can reduce 20 to:
% 42.81/13.33  																																															| (311) $false
% 42.81/13.33  																																															|
% 42.81/13.33  																																															|-The branch is then unsatisfiable
% 42.81/13.33  																																														|-Branch two:
% 42.81/13.33  																																														| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.33  																																														| (570) all_0_93_93 = e3
% 42.81/13.33  																																														|
% 42.81/13.33  																																															| From (570) and (21) follows:
% 42.81/13.33  																																															| (4652) op(e1, e3) = all_0_76_76
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Instantiating formula (262) with e1, e3, e4, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e4, yields:
% 42.81/13.33  																																															| (4717) all_0_76_76 = e4
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Instantiating formula (262) with e1, e3, e0, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e0, yields:
% 42.81/13.33  																																															| (8960) all_0_76_76 = e0
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Combining equations (4717,8960) yields a new equation:
% 42.81/13.33  																																															| (911) e4 = e0
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Simplifying 911 yields:
% 42.81/13.33  																																															| (912) e4 = e0
% 42.81/13.33  																																															|
% 42.81/13.33  																																															| Equations (912) can reduce 23 to:
% 42.81/13.33  																																															| (311) $false
% 42.81/13.33  																																															|
% 42.81/13.33  																																															|-The branch is then unsatisfiable
% 42.81/13.33  																																												|-Branch two:
% 42.81/13.33  																																												| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.33  																																												| (566) all_0_93_93 = e1
% 42.81/13.33  																																												|
% 42.81/13.33  																																													| Equations (566) can reduce 481 to:
% 42.81/13.33  																																													| (311) $false
% 42.81/13.33  																																													|
% 42.81/13.33  																																													|-The branch is then unsatisfiable
% 42.81/13.33  																																										|-Branch two:
% 42.81/13.33  																																										| (428)  ~ (all_0_97_97 = e3)
% 42.81/13.33  																																										| (969) all_0_98_98 = e3
% 42.81/13.33  																																										|
% 42.81/13.33  																																											| Combining equations (969,1121) yields a new equation:
% 42.81/13.33  																																											| (599) e3 = e0
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| Simplifying 599 yields:
% 42.81/13.33  																																											| (600) e3 = e0
% 42.81/13.33  																																											|
% 42.81/13.33  																																											| Equations (600) can reduce 50 to:
% 42.81/13.33  																																											| (311) $false
% 42.81/13.33  																																											|
% 42.81/13.33  																																											|-The branch is then unsatisfiable
% 42.81/13.33  																																		|-Branch two:
% 42.81/13.33  																																		| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.33  																																		| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.33  																																		|
% 42.81/13.33  																																			+-Applying beta-rule and splitting (1928), into two cases.
% 42.81/13.33  																																			|-Branch one:
% 42.81/13.33  																																			| (442) all_0_92_92 = e4
% 42.81/13.33  																																			|
% 42.81/13.33  																																				| Equations (442) can reduce 1619 to:
% 42.81/13.33  																																				| (311) $false
% 42.81/13.33  																																				|
% 42.81/13.33  																																				|-The branch is then unsatisfiable
% 42.81/13.33  																																			|-Branch two:
% 42.81/13.33  																																			| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.33  																																			| (607) all_0_93_93 = e4
% 42.81/13.33  																																			|
% 42.81/13.33  																																				| Equations (607) can reduce 496 to:
% 42.81/13.33  																																				| (311) $false
% 42.81/13.33  																																				|
% 42.81/13.33  																																				|-The branch is then unsatisfiable
% 42.81/13.33  																																|-Branch two:
% 42.81/13.33  																																| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.33  																																| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 42.81/13.33  																																|
% 42.81/13.33  																																	+-Applying beta-rule and splitting (1309), into two cases.
% 42.81/13.33  																																	|-Branch one:
% 42.81/13.33  																																	| (798) all_0_83_83 = e0
% 42.81/13.33  																																	|
% 42.81/13.33  																																		| Combining equations (795,798) yields a new equation:
% 42.81/13.33  																																		| (599) e3 = e0
% 42.81/13.33  																																		|
% 42.81/13.33  																																		| Simplifying 599 yields:
% 42.81/13.33  																																		| (600) e3 = e0
% 42.81/13.33  																																		|
% 42.81/13.33  																																		| Equations (600) can reduce 50 to:
% 42.81/13.33  																																		| (311) $false
% 42.81/13.33  																																		|
% 42.81/13.33  																																		|-The branch is then unsatisfiable
% 42.81/13.33  																																	|-Branch two:
% 42.81/13.33  																																	| (1314)  ~ (all_0_83_83 = e0)
% 42.81/13.33  																																	| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 42.81/13.33  																																	|
% 42.81/13.33  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 42.81/13.33  																																		|-Branch one:
% 42.81/13.33  																																		| (916) all_0_84_84 = e0
% 42.81/13.33  																																		|
% 42.81/13.33  																																			| Combining equations (552,916) yields a new equation:
% 42.81/13.33  																																			| (923) e2 = e0
% 42.81/13.33  																																			|
% 42.81/13.33  																																			| Simplifying 923 yields:
% 42.81/13.33  																																			| (379) e2 = e0
% 42.81/13.33  																																			|
% 42.81/13.33  																																			| Equations (379) can reduce 76 to:
% 42.81/13.33  																																			| (311) $false
% 42.81/13.33  																																			|
% 42.81/13.33  																																			|-The branch is then unsatisfiable
% 42.81/13.33  																																		|-Branch two:
% 42.81/13.33  																																		| (919)  ~ (all_0_84_84 = e0)
% 42.81/13.33  																																		| (954) all_0_85_85 = e0
% 42.81/13.33  																																		|
% 42.81/13.33  																																			| Combining equations (493,954) yields a new equation:
% 42.81/13.33  																																			| (911) e4 = e0
% 42.81/13.33  																																			|
% 42.81/13.33  																																			| Simplifying 911 yields:
% 42.81/13.33  																																			| (912) e4 = e0
% 42.81/13.33  																																			|
% 42.81/13.33  																																			| Equations (912) can reduce 23 to:
% 42.81/13.33  																																			| (311) $false
% 42.81/13.33  																																			|
% 42.81/13.33  																																			|-The branch is then unsatisfiable
% 42.81/13.33  																											|-Branch two:
% 42.81/13.33  																											| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.33  																											| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 42.81/13.33  																											|
% 42.81/13.33  																												+-Applying beta-rule and splitting (675), into two cases.
% 42.81/13.33  																												|-Branch one:
% 42.81/13.33  																												| (676) all_0_78_78 = e1
% 42.81/13.33  																												|
% 42.81/13.33  																													| Equations (676) can reduce 1601 to:
% 42.81/13.33  																													| (311) $false
% 42.81/13.33  																													|
% 42.81/13.33  																													|-The branch is then unsatisfiable
% 42.81/13.33  																												|-Branch two:
% 42.81/13.33  																												| (1601)  ~ (all_0_78_78 = e1)
% 42.81/13.33  																												| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 42.81/13.33  																												|
% 42.81/13.33  																													+-Applying beta-rule and splitting (1606), into two cases.
% 42.81/13.33  																													|-Branch one:
% 42.81/13.33  																													| (771) all_0_78_78 = e3
% 42.81/13.33  																													|
% 42.81/13.33  																														| Equations (771) can reduce 418 to:
% 42.81/13.33  																														| (311) $false
% 42.81/13.33  																														|
% 42.81/13.33  																														|-The branch is then unsatisfiable
% 42.81/13.33  																													|-Branch two:
% 42.81/13.33  																													| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.33  																													| (463) all_0_78_78 = e4
% 42.81/13.33  																													|
% 42.81/13.33  																														| Equations (463) can reduce 640 to:
% 42.81/13.33  																														| (311) $false
% 42.81/13.33  																														|
% 42.81/13.33  																														|-The branch is then unsatisfiable
% 42.81/13.33  																										|-Branch two:
% 42.81/13.33  																										| (436)  ~ (all_0_80_80 = e4)
% 42.81/13.33  																										| (638) all_0_81_81 = e4
% 42.81/13.33  																										|
% 42.81/13.33  																											| Combining equations (473,638) yields a new equation:
% 42.81/13.33  																											| (310) e4 = e2
% 42.81/13.33  																											|
% 42.81/13.33  																											| Equations (310) can reduce 79 to:
% 42.81/13.33  																											| (311) $false
% 42.81/13.33  																											|
% 42.81/13.33  																											|-The branch is then unsatisfiable
% 42.81/13.33  																							|-Branch two:
% 42.81/13.33  																							| (396)  ~ (all_0_81_81 = e2)
% 42.81/13.33  																							| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 42.81/13.33  																							|
% 42.81/13.33  																								+-Applying beta-rule and splitting (3249), into two cases.
% 42.81/13.33  																								|-Branch one:
% 42.81/13.33  																								| (546) all_0_80_80 = e2
% 42.81/13.33  																								|
% 42.81/13.33  																									| Equations (546) can reduce 394 to:
% 42.81/13.33  																									| (311) $false
% 42.81/13.33  																									|
% 42.81/13.33  																									|-The branch is then unsatisfiable
% 42.81/13.33  																								|-Branch two:
% 42.81/13.33  																								| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.33  																								| (473) all_0_81_81 = e2
% 42.81/13.33  																								|
% 42.81/13.33  																									| Equations (473) can reduce 396 to:
% 42.81/13.33  																									| (311) $false
% 42.81/13.33  																									|
% 42.81/13.33  																									|-The branch is then unsatisfiable
% 42.81/13.34  																				|-Branch two:
% 42.81/13.34  																				| (612)  ~ (all_0_84_84 = e2)
% 42.81/13.34  																				| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 42.81/13.34  																				|
% 42.81/13.34  																					+-Applying beta-rule and splitting (41), into two cases.
% 42.81/13.34  																					|-Branch one:
% 42.81/13.34  																					| (530) all_0_82_82 = e2
% 42.81/13.34  																					|
% 42.81/13.34  																						| Equations (530) can reduce 347 to:
% 42.81/13.34  																						| (311) $false
% 42.81/13.34  																						|
% 42.81/13.34  																						|-The branch is then unsatisfiable
% 42.81/13.34  																					|-Branch two:
% 42.81/13.34  																					| (347)  ~ (all_0_82_82 = e2)
% 42.81/13.34  																					| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 42.81/13.34  																					|
% 42.81/13.34  																						+-Applying beta-rule and splitting (533), into two cases.
% 42.81/13.34  																						|-Branch one:
% 42.81/13.34  																						| (453) all_0_83_83 = e2
% 42.81/13.34  																						|
% 42.81/13.34  																							| Combining equations (795,453) yields a new equation:
% 42.81/13.34  																							| (547) e3 = e2
% 42.81/13.34  																							|
% 42.81/13.34  																							| Simplifying 547 yields:
% 42.81/13.34  																							| (548) e3 = e2
% 42.81/13.34  																							|
% 42.81/13.34  																							| Equations (548) can reduce 169 to:
% 42.81/13.34  																							| (311) $false
% 42.81/13.34  																							|
% 42.81/13.34  																							|-The branch is then unsatisfiable
% 42.81/13.34  																						|-Branch two:
% 42.81/13.34  																						| (398)  ~ (all_0_83_83 = e2)
% 42.81/13.34  																						| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 42.81/13.34  																						|
% 42.81/13.34  																							+-Applying beta-rule and splitting (537), into two cases.
% 42.81/13.34  																							|-Branch one:
% 42.81/13.34  																							| (552) all_0_84_84 = e2
% 42.81/13.34  																							|
% 42.81/13.34  																								| Equations (552) can reduce 612 to:
% 42.81/13.34  																								| (311) $false
% 42.81/13.34  																								|
% 42.81/13.34  																								|-The branch is then unsatisfiable
% 42.81/13.34  																							|-Branch two:
% 42.81/13.34  																							| (612)  ~ (all_0_84_84 = e2)
% 42.81/13.34  																							| (512) all_0_85_85 = e2
% 42.81/13.34  																							|
% 42.81/13.34  																								| Equations (512) can reduce 118 to:
% 42.81/13.34  																								| (396)  ~ (all_0_81_81 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Equations (512) can reduce 201 to:
% 42.81/13.34  																								| (299)  ~ (all_0_93_93 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Simplifying 299 yields:
% 42.81/13.34  																								| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Equations (512) can reduce 75 to:
% 42.81/13.34  																								| (1348)  ~ (all_0_98_98 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Simplifying 1348 yields:
% 42.81/13.34  																								| (1349)  ~ (all_0_98_98 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Equations (512) can reduce 952 to:
% 42.81/13.34  																								| (356)  ~ (e3 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Simplifying 356 yields:
% 42.81/13.34  																								| (169)  ~ (e3 = e2)
% 42.81/13.34  																								|
% 42.81/13.34  																								| Equations (512) can reduce 128 to:
% 42.81/13.34  																								| (243)  ~ (e2 = e1)
% 42.81/13.34  																								|
% 42.81/13.34  																								| From (512) and (26) follows:
% 42.81/13.34  																								| (1290) op(e0, e2) = all_0_71_71
% 42.81/13.34  																								|
% 42.81/13.34  																								+-Applying beta-rule and splitting (101), into two cases.
% 42.81/13.34  																								|-Branch one:
% 42.81/13.34  																								| (400) all_0_78_78 = e2
% 42.81/13.34  																								|
% 42.81/13.34  																									| Equations (400) can reduce 346 to:
% 42.81/13.34  																									| (311) $false
% 42.81/13.34  																									|
% 42.81/13.34  																									|-The branch is then unsatisfiable
% 42.81/13.34  																								|-Branch two:
% 42.81/13.34  																								| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.34  																								| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 42.81/13.34  																								|
% 42.81/13.34  																									+-Applying beta-rule and splitting (192), into two cases.
% 42.81/13.34  																									|-Branch one:
% 42.81/13.34  																									| (546) all_0_80_80 = e2
% 42.81/13.34  																									|
% 42.81/13.34  																										| Equations (546) can reduce 67 to:
% 42.81/13.34  																										| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Equations (546) can reduce 144 to:
% 42.81/13.34  																										| (395)  ~ (all_0_81_81 = e2)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Simplifying 395 yields:
% 42.81/13.34  																										| (396)  ~ (all_0_81_81 = e2)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Equations (546) can reduce 202 to:
% 42.81/13.34  																										| (2376)  ~ (all_0_97_97 = e2)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Simplifying 2376 yields:
% 42.81/13.34  																										| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Equations (546) can reduce 828 to:
% 42.81/13.34  																										| (243)  ~ (e2 = e1)
% 42.81/13.34  																										|
% 42.81/13.34  																										| Equations (546) can reduce 166 to:
% 42.81/13.34  																										| (76)  ~ (e2 = e0)
% 42.81/13.34  																										|
% 42.81/13.34  																										| From (546) and (233) follows:
% 42.81/13.34  																										| (3296) op(e1, e2) = all_0_60_60
% 42.81/13.34  																										|
% 42.81/13.34  																										+-Applying beta-rule and splitting (289), into two cases.
% 42.81/13.34  																										|-Branch one:
% 42.81/13.34  																										| (954) all_0_85_85 = e0
% 42.81/13.34  																										|
% 42.81/13.34  																											| Combining equations (512,954) yields a new equation:
% 42.81/13.34  																											| (923) e2 = e0
% 42.81/13.34  																											|
% 42.81/13.34  																											| Simplifying 923 yields:
% 42.81/13.34  																											| (379) e2 = e0
% 42.81/13.34  																											|
% 42.81/13.34  																											| Equations (379) can reduce 76 to:
% 42.81/13.34  																											| (311) $false
% 42.81/13.34  																											|
% 42.81/13.34  																											|-The branch is then unsatisfiable
% 42.81/13.34  																										|-Branch two:
% 42.81/13.34  																										| (800)  ~ (all_0_85_85 = e0)
% 42.81/13.34  																										| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.34  																										|
% 42.81/13.34  																											+-Applying beta-rule and splitting (1077), into two cases.
% 42.81/13.34  																											|-Branch one:
% 42.81/13.34  																											| (507) all_0_88_88 = e0
% 42.81/13.34  																											|
% 42.81/13.34  																												| Combining equations (504,507) yields a new equation:
% 42.81/13.34  																												| (1107) e1 = e0
% 42.81/13.34  																												|
% 42.81/13.34  																												| Simplifying 1107 yields:
% 42.81/13.34  																												| (865) e1 = e0
% 42.81/13.34  																												|
% 42.81/13.34  																												| Equations (865) can reduce 264 to:
% 42.81/13.34  																												| (311) $false
% 42.81/13.34  																												|
% 42.81/13.34  																												|-The branch is then unsatisfiable
% 42.81/13.34  																											|-Branch two:
% 42.81/13.34  																											| (1110)  ~ (all_0_88_88 = e0)
% 42.81/13.34  																											| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 42.81/13.34  																											|
% 42.81/13.34  																												+-Applying beta-rule and splitting (1111), into two cases.
% 42.81/13.34  																												|-Branch one:
% 42.81/13.34  																												| (604) all_0_93_93 = e0
% 42.81/13.34  																												|
% 42.81/13.34  																													| Equations (604) can reduce 509 to:
% 42.81/13.34  																													| (311) $false
% 42.81/13.34  																													|
% 42.81/13.34  																													|-The branch is then unsatisfiable
% 42.81/13.34  																												|-Branch two:
% 42.81/13.34  																												| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.34  																												| (1121) all_0_98_98 = e0
% 42.81/13.34  																												|
% 42.81/13.34  																													| Equations (1121) can reduce 5 to:
% 42.81/13.34  																													| (257)  ~ (all_0_81_81 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													| Equations (1121) can reduce 13 to:
% 42.81/13.34  																													| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													| Equations (1121) can reduce 107 to:
% 42.81/13.34  																													| (893)  ~ (all_0_95_95 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													| Equations (1121) can reduce 148 to:
% 42.81/13.34  																													| (609)  ~ (all_0_97_97 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													| Equations (1121) can reduce 1349 to:
% 42.81/13.34  																													| (510)  ~ (e2 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													| Simplifying 510 yields:
% 42.81/13.34  																													| (76)  ~ (e2 = e0)
% 42.81/13.34  																													|
% 42.81/13.34  																													+-Applying beta-rule and splitting (249), into two cases.
% 42.81/13.34  																													|-Branch one:
% 42.81/13.34  																													| (910) all_0_82_82 = e0
% 42.81/13.34  																													|
% 42.81/13.34  																														| Equations (910) can reduce 193 to:
% 42.81/13.34  																														| (86)  ~ (all_0_78_78 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Equations (910) can reduce 7 to:
% 42.81/13.34  																														| (2207)  ~ (all_0_84_84 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Simplifying 2207 yields:
% 42.81/13.34  																														| (919)  ~ (all_0_84_84 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Equations (910) can reduce 255 to:
% 42.81/13.34  																														| (2710)  ~ (all_0_90_90 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Simplifying 2710 yields:
% 42.81/13.34  																														| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Equations (910) can reduce 200 to:
% 42.81/13.34  																														| (2712)  ~ (all_0_95_95 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Simplifying 2712 yields:
% 42.81/13.34  																														| (893)  ~ (all_0_95_95 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Equations (910) can reduce 793 to:
% 42.81/13.34  																														| (906)  ~ (e3 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														| Simplifying 906 yields:
% 42.81/13.34  																														| (50)  ~ (e3 = e0)
% 42.81/13.34  																														|
% 42.81/13.34  																														+-Applying beta-rule and splitting (617), into two cases.
% 42.81/13.34  																														|-Branch one:
% 42.81/13.34  																														| (1265) all_0_84_84 = e3
% 42.81/13.34  																														|
% 42.81/13.34  																															| Equations (1265) can reduce 422 to:
% 42.81/13.34  																															| (311) $false
% 42.81/13.34  																															|
% 42.81/13.34  																															|-The branch is then unsatisfiable
% 42.81/13.34  																														|-Branch two:
% 42.81/13.34  																														| (422)  ~ (all_0_84_84 = e3)
% 42.81/13.34  																														| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 42.81/13.34  																														|
% 42.81/13.34  																															+-Applying beta-rule and splitting (1268), into two cases.
% 42.81/13.34  																															|-Branch one:
% 42.81/13.34  																															| (916) all_0_84_84 = e0
% 42.81/13.34  																															|
% 42.81/13.34  																																| Equations (916) can reduce 919 to:
% 42.81/13.34  																																| (311) $false
% 42.81/13.34  																																|
% 42.81/13.34  																																|-The branch is then unsatisfiable
% 42.81/13.34  																															|-Branch two:
% 42.81/13.34  																															| (919)  ~ (all_0_84_84 = e0)
% 42.81/13.34  																															| (438) all_0_84_84 = e4
% 42.81/13.34  																															|
% 42.81/13.34  																																| Equations (438) can reduce 87 to:
% 42.81/13.34  																																| (1906)  ~ (all_0_92_92 = e4)
% 42.81/13.34  																																|
% 42.81/13.34  																																| Simplifying 1906 yields:
% 42.81/13.34  																																| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.34  																																|
% 42.81/13.34  																																| Equations (438) can reduce 195 to:
% 42.81/13.34  																																| (318)  ~ (all_0_97_97 = e4)
% 42.81/13.34  																																|
% 42.81/13.34  																																| Simplifying 318 yields:
% 42.81/13.34  																																| (319)  ~ (all_0_97_97 = e4)
% 42.81/13.34  																																|
% 42.81/13.34  																																| Equations (438) can reduce 422 to:
% 42.81/13.34  																																| (177)  ~ (e4 = e3)
% 42.81/13.34  																																|
% 42.81/13.34  																																| Equations (438) can reduce 919 to:
% 42.81/13.34  																																| (23)  ~ (e4 = e0)
% 42.81/13.34  																																|
% 42.81/13.34  																																| From (438) and (122) follows:
% 42.81/13.34  																																| (9102) op(e1, e4) = all_0_62_62
% 42.81/13.34  																																|
% 42.81/13.34  																																| Instantiating formula (262) with e1, e4, all_0_62_62, e2 and discharging atoms op(e1, e4) = all_0_62_62, op(e1, e4) = e2, yields:
% 42.81/13.34  																																| (9103) all_0_62_62 = e2
% 42.81/13.34  																																|
% 42.81/13.34  																																| Instantiating formula (262) with e1, e2, all_0_60_60, e0 and discharging atoms op(e1, e2) = all_0_60_60, op(e1, e2) = e0, yields:
% 42.81/13.34  																																| (3457) all_0_60_60 = e0
% 42.81/13.34  																																|
% 42.81/13.34  																																| Instantiating formula (262) with e0, e2, all_0_71_71, e2 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = e2, yields:
% 42.81/13.34  																																| (2601) all_0_71_71 = e2
% 42.81/13.34  																																|
% 42.81/13.34  																																+-Applying beta-rule and splitting (276), into two cases.
% 42.81/13.34  																																|-Branch one:
% 42.81/13.34  																																| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 42.81/13.34  																																|
% 42.81/13.34  																																	+-Applying beta-rule and splitting (577), into two cases.
% 42.81/13.34  																																	|-Branch one:
% 42.81/13.34  																																	| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 42.81/13.34  																																	|
% 42.81/13.34  																																		+-Applying beta-rule and splitting (578), into two cases.
% 42.81/13.34  																																		|-Branch one:
% 42.81/13.34  																																		| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 42.81/13.34  																																		|
% 42.81/13.34  																																			| Applying alpha-rule on (579) yields:
% 42.81/13.34  																																			| (580) all_0_60_60 = e4
% 42.81/13.34  																																			| (581)  ~ (all_0_61_61 = e1)
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Combining equations (580,3457) yields a new equation:
% 42.81/13.34  																																			| (911) e4 = e0
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Simplifying 911 yields:
% 42.81/13.34  																																			| (912) e4 = e0
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Equations (912) can reduce 23 to:
% 42.81/13.34  																																			| (311) $false
% 42.81/13.34  																																			|
% 42.81/13.34  																																			|-The branch is then unsatisfiable
% 42.81/13.34  																																		|-Branch two:
% 42.81/13.34  																																		| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 42.81/13.34  																																		|
% 42.81/13.34  																																			| Applying alpha-rule on (585) yields:
% 42.81/13.34  																																			| (586) all_0_62_62 = e3
% 42.81/13.34  																																			| (587)  ~ (all_0_63_63 = e1)
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Combining equations (586,9103) yields a new equation:
% 42.81/13.34  																																			| (547) e3 = e2
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Simplifying 547 yields:
% 42.81/13.34  																																			| (548) e3 = e2
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Equations (548) can reduce 169 to:
% 42.81/13.34  																																			| (311) $false
% 42.81/13.34  																																			|
% 42.81/13.34  																																			|-The branch is then unsatisfiable
% 42.81/13.34  																																	|-Branch two:
% 42.81/13.34  																																	| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 42.81/13.34  																																	|
% 42.81/13.34  																																		| Applying alpha-rule on (590) yields:
% 42.81/13.34  																																		| (591) all_0_64_64 = e2
% 42.81/13.34  																																		| (592)  ~ (all_0_65_65 = e1)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Combining equations (8320,591) yields a new equation:
% 42.81/13.34  																																		| (9123) all_0_93_93 = e2
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Simplifying 9123 yields:
% 42.81/13.34  																																		| (522) all_0_93_93 = e2
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Equations (522) can reduce 300 to:
% 42.81/13.34  																																		| (311) $false
% 42.81/13.34  																																		|
% 42.81/13.34  																																		|-The branch is then unsatisfiable
% 42.81/13.34  																																|-Branch two:
% 42.81/13.34  																																| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 42.81/13.34  																																|
% 42.81/13.34  																																	| Applying alpha-rule on (596) yields:
% 42.81/13.34  																																	| (597) all_0_67_67 = e0
% 42.81/13.34  																																	| (598)  ~ (all_0_68_68 = e1)
% 42.81/13.34  																																	|
% 42.81/13.34  																																	| From (597) and (252) follows:
% 42.81/13.34  																																	| (8666) op(e1, all_0_97_97) = e0
% 42.81/13.34  																																	|
% 42.81/13.34  																																	+-Applying beta-rule and splitting (56), into two cases.
% 42.81/13.34  																																	|-Branch one:
% 42.81/13.34  																																	| (463) all_0_78_78 = e4
% 42.81/13.34  																																	|
% 42.81/13.34  																																		| Equations (463) can reduce 85 to:
% 42.81/13.34  																																		| (466)  ~ (all_0_90_90 = e4)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Simplifying 466 yields:
% 42.81/13.34  																																		| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Equations (463) can reduce 125 to:
% 42.81/13.34  																																		| (314)  ~ (all_0_95_95 = e4)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Simplifying 314 yields:
% 42.81/13.34  																																		| (315)  ~ (all_0_95_95 = e4)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		| Equations (463) can reduce 346 to:
% 42.81/13.34  																																		| (79)  ~ (e4 = e2)
% 42.81/13.34  																																		|
% 42.81/13.34  																																		+-Applying beta-rule and splitting (106), into two cases.
% 42.81/13.34  																																		|-Branch one:
% 42.81/13.34  																																		| (771) all_0_78_78 = e3
% 42.81/13.34  																																		|
% 42.81/13.34  																																			| Combining equations (463,771) yields a new equation:
% 42.81/13.34  																																			| (790) e4 = e3
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Simplifying 790 yields:
% 42.81/13.34  																																			| (434) e4 = e3
% 42.81/13.34  																																			|
% 42.81/13.34  																																			| Equations (434) can reduce 177 to:
% 42.81/13.34  																																			| (311) $false
% 42.81/13.34  																																			|
% 42.81/13.34  																																			|-The branch is then unsatisfiable
% 42.81/13.34  																																		|-Branch two:
% 42.81/13.34  																																		| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.34  																																		| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 42.81/13.34  																																		|
% 42.81/13.34  																																			| Equations (463) can reduce 418 to:
% 42.81/13.34  																																			| (177)  ~ (e4 = e3)
% 42.81/13.34  																																			|
% 42.81/13.34  																																			+-Applying beta-rule and splitting (46), into two cases.
% 42.81/13.34  																																			|-Branch one:
% 42.81/13.34  																																			| (308) all_0_89_89 = e4
% 42.81/13.34  																																			|
% 42.81/13.34  																																				| Combining equations (308,292) yields a new equation:
% 42.81/13.34  																																				| (309) e4 = e2
% 42.81/13.34  																																				|
% 42.81/13.34  																																				| Simplifying 309 yields:
% 42.81/13.34  																																				| (310) e4 = e2
% 42.81/13.34  																																				|
% 42.81/13.34  																																				| Equations (310) can reduce 79 to:
% 42.81/13.34  																																				| (311) $false
% 42.81/13.34  																																				|
% 42.81/13.34  																																				|-The branch is then unsatisfiable
% 42.81/13.34  																																			|-Branch two:
% 42.81/13.34  																																			| (312)  ~ (all_0_89_89 = e4)
% 42.81/13.34  																																			| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.34  																																			|
% 42.81/13.34  																																				+-Applying beta-rule and splitting (1915), into two cases.
% 42.81/13.34  																																				|-Branch one:
% 42.81/13.34  																																				| (583) all_0_90_90 = e4
% 42.81/13.34  																																				|
% 42.81/13.34  																																					| Equations (583) can reduce 467 to:
% 42.81/13.34  																																					| (311) $false
% 42.81/13.34  																																					|
% 42.81/13.34  																																					|-The branch is then unsatisfiable
% 42.81/13.34  																																				|-Branch two:
% 42.81/13.34  																																				| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.34  																																				| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 42.81/13.34  																																				|
% 42.81/13.34  																																					+-Applying beta-rule and splitting (123), into two cases.
% 42.81/13.34  																																					|-Branch one:
% 42.81/13.34  																																					| (473) all_0_81_81 = e2
% 42.81/13.34  																																					|
% 42.81/13.34  																																						| Equations (473) can reduce 396 to:
% 42.81/13.34  																																						| (311) $false
% 42.81/13.34  																																						|
% 42.81/13.34  																																						|-The branch is then unsatisfiable
% 42.81/13.34  																																					|-Branch two:
% 42.81/13.34  																																					| (396)  ~ (all_0_81_81 = e2)
% 42.81/13.34  																																					| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 42.81/13.34  																																					|
% 42.81/13.34  																																						+-Applying beta-rule and splitting (1928), into two cases.
% 42.81/13.34  																																						|-Branch one:
% 42.81/13.34  																																						| (442) all_0_92_92 = e4
% 42.81/13.34  																																						|
% 42.81/13.34  																																							| Equations (442) can reduce 1619 to:
% 42.81/13.34  																																							| (311) $false
% 42.81/13.34  																																							|
% 42.81/13.34  																																							|-The branch is then unsatisfiable
% 42.81/13.34  																																						|-Branch two:
% 42.81/13.34  																																						| (1619)  ~ (all_0_92_92 = e4)
% 42.81/13.34  																																						| (607) all_0_93_93 = e4
% 42.81/13.34  																																						|
% 42.81/13.34  																																							| Equations (607) can reduce 481 to:
% 42.81/13.34  																																							| (256)  ~ (e4 = e1)
% 42.81/13.34  																																							|
% 42.81/13.34  																																							| From (607) and (173) follows:
% 42.81/13.34  																																							| (1935) op(e0, e4) = all_0_75_75
% 42.81/13.34  																																							|
% 42.81/13.34  																																							+-Applying beta-rule and splitting (250), into two cases.
% 42.81/13.34  																																							|-Branch one:
% 42.81/13.34  																																							| (635) all_0_81_81 = e3
% 42.81/13.34  																																							|
% 42.81/13.34  																																								| Equations (635) can reduce 396 to:
% 42.81/13.34  																																								| (169)  ~ (e3 = e2)
% 42.81/13.34  																																								|
% 42.81/13.34  																																								| From (635) and (145) follows:
% 42.81/13.34  																																								| (2368) op(e0, e3) = all_0_69_69
% 42.81/13.34  																																								|
% 42.81/13.34  																																								| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 42.81/13.34  																																								| (1966) all_0_75_75 = e4
% 42.81/13.34  																																								|
% 42.81/13.34  																																								| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_95_95 and discharging atoms op(e0, e3) = all_0_69_69, op(e0, e3) = all_0_95_95, yields:
% 42.81/13.34  																																								| (2409) all_0_69_69 = all_0_95_95
% 42.81/13.34  																																								|
% 42.81/13.34  																																								+-Applying beta-rule and splitting (89), into two cases.
% 42.81/13.34  																																								|-Branch one:
% 42.81/13.34  																																								| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 42.81/13.34  																																								|
% 42.81/13.34  																																									+-Applying beta-rule and splitting (1373), into two cases.
% 42.81/13.34  																																									|-Branch one:
% 42.81/13.34  																																									| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 42.81/13.34  																																									|
% 42.81/13.34  																																										+-Applying beta-rule and splitting (1374), into two cases.
% 42.81/13.34  																																										|-Branch one:
% 42.81/13.34  																																										| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 42.81/13.34  																																										|
% 42.81/13.34  																																											| Applying alpha-rule on (1375) yields:
% 42.81/13.34  																																											| (1376) all_0_69_69 = e4
% 42.81/13.34  																																											| (1377)  ~ (all_0_70_70 = e0)
% 42.81/13.34  																																											|
% 42.81/13.34  																																											| Combining equations (1376,2409) yields a new equation:
% 42.81/13.34  																																											| (894) all_0_95_95 = e4
% 42.81/13.34  																																											|
% 42.81/13.34  																																											| Equations (894) can reduce 315 to:
% 42.81/13.34  																																											| (311) $false
% 42.81/13.34  																																											|
% 42.81/13.34  																																											|-The branch is then unsatisfiable
% 42.81/13.34  																																										|-Branch two:
% 42.81/13.34  																																										| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 42.81/13.34  																																										|
% 42.81/13.34  																																											| Applying alpha-rule on (1379) yields:
% 42.81/13.34  																																											| (1380) all_0_71_71 = e3
% 42.81/13.34  																																											| (1381)  ~ (all_0_72_72 = e0)
% 42.81/13.34  																																											|
% 42.81/13.34  																																											| Combining equations (2601,1380) yields a new equation:
% 42.81/13.34  																																											| (548) e3 = e2
% 42.81/13.34  																																											|
% 42.81/13.34  																																											| Equations (548) can reduce 169 to:
% 42.81/13.34  																																											| (311) $false
% 42.81/13.34  																																											|
% 42.81/13.34  																																											|-The branch is then unsatisfiable
% 42.81/13.34  																																									|-Branch two:
% 42.81/13.34  																																									| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 42.81/13.34  																																									|
% 42.81/13.34  																																										| Applying alpha-rule on (1385) yields:
% 42.81/13.34  																																										| (1386) all_0_73_73 = e2
% 42.81/13.34  																																										| (1387)  ~ (all_0_74_74 = e0)
% 42.81/13.34  																																										|
% 42.81/13.35  																																										| Combining equations (1386,8321) yields a new equation:
% 42.81/13.35  																																										| (538) all_0_97_97 = e2
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (538) can reduce 527 to:
% 42.81/13.35  																																										| (311) $false
% 42.81/13.35  																																										|
% 42.81/13.35  																																										|-The branch is then unsatisfiable
% 42.81/13.35  																																								|-Branch two:
% 42.81/13.35  																																								| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 42.81/13.35  																																								|
% 42.81/13.35  																																									| Applying alpha-rule on (1391) yields:
% 42.81/13.35  																																									| (1392) all_0_75_75 = e1
% 42.81/13.35  																																									| (1393)  ~ (all_0_76_76 = e0)
% 42.81/13.35  																																									|
% 42.81/13.35  																																									| Combining equations (1392,1966) yields a new equation:
% 42.81/13.35  																																									| (814) e4 = e1
% 42.81/13.35  																																									|
% 42.81/13.35  																																									| Equations (814) can reduce 256 to:
% 42.81/13.35  																																									| (311) $false
% 42.81/13.35  																																									|
% 42.81/13.35  																																									|-The branch is then unsatisfiable
% 42.81/13.35  																																							|-Branch two:
% 42.81/13.35  																																							| (420)  ~ (all_0_81_81 = e3)
% 42.81/13.35  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																							|
% 42.81/13.35  																																								+-Applying beta-rule and splitting (4488), into two cases.
% 42.81/13.35  																																								|-Branch one:
% 42.81/13.35  																																								| (804) all_0_85_85 = e3
% 42.81/13.35  																																								|
% 42.81/13.35  																																									| Combining equations (512,804) yields a new equation:
% 42.81/13.35  																																									| (548) e3 = e2
% 42.81/13.35  																																									|
% 42.81/13.35  																																									| Equations (548) can reduce 169 to:
% 42.81/13.35  																																									| (311) $false
% 42.81/13.35  																																									|
% 42.81/13.35  																																									|-The branch is then unsatisfiable
% 42.81/13.35  																																								|-Branch two:
% 42.81/13.35  																																								| (952)  ~ (all_0_85_85 = e3)
% 42.81/13.35  																																								| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																								|
% 42.81/13.35  																																									+-Applying beta-rule and splitting (4559), into two cases.
% 42.81/13.35  																																									|-Branch one:
% 42.81/13.35  																																									| (570) all_0_93_93 = e3
% 42.81/13.35  																																									|
% 42.81/13.35  																																										| Combining equations (570,607) yields a new equation:
% 42.81/13.35  																																										| (434) e4 = e3
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (434) can reduce 177 to:
% 42.81/13.35  																																										| (311) $false
% 42.81/13.35  																																										|
% 42.81/13.35  																																										|-The branch is then unsatisfiable
% 42.81/13.35  																																									|-Branch two:
% 42.81/13.35  																																									| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.35  																																									| (969) all_0_98_98 = e3
% 42.81/13.35  																																									|
% 42.81/13.35  																																										| Combining equations (969,1121) yields a new equation:
% 42.81/13.35  																																										| (599) e3 = e0
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Simplifying 599 yields:
% 42.81/13.35  																																										| (600) e3 = e0
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (600) can reduce 50 to:
% 42.81/13.35  																																										| (311) $false
% 42.81/13.35  																																										|
% 42.81/13.35  																																										|-The branch is then unsatisfiable
% 42.81/13.35  																																	|-Branch two:
% 42.81/13.35  																																	| (640)  ~ (all_0_78_78 = e4)
% 42.81/13.35  																																	| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 42.81/13.35  																																	|
% 42.81/13.35  																																		+-Applying beta-rule and splitting (24), into two cases.
% 42.81/13.35  																																		|-Branch one:
% 42.81/13.35  																																		| (400) all_0_78_78 = e2
% 42.81/13.35  																																		|
% 42.81/13.35  																																			| Equations (400) can reduce 346 to:
% 42.81/13.35  																																			| (311) $false
% 42.81/13.35  																																			|
% 42.81/13.35  																																			|-The branch is then unsatisfiable
% 42.81/13.35  																																		|-Branch two:
% 42.81/13.35  																																		| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.35  																																		| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 42.81/13.35  																																		|
% 42.81/13.35  																																			+-Applying beta-rule and splitting (4), into two cases.
% 42.81/13.35  																																			|-Branch one:
% 42.81/13.35  																																			| (463) all_0_78_78 = e4
% 42.81/13.35  																																			|
% 42.81/13.35  																																				| Equations (463) can reduce 640 to:
% 42.81/13.35  																																				| (311) $false
% 42.81/13.35  																																				|
% 42.81/13.35  																																				|-The branch is then unsatisfiable
% 42.81/13.35  																																			|-Branch two:
% 42.81/13.35  																																			| (640)  ~ (all_0_78_78 = e4)
% 42.81/13.35  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 42.81/13.35  																																			|
% 42.81/13.35  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 42.81/13.35  																																				|-Branch one:
% 42.81/13.35  																																				| (469) all_0_82_82 = e4
% 42.81/13.35  																																				|
% 42.81/13.35  																																					| Combining equations (910,469) yields a new equation:
% 42.81/13.35  																																					| (912) e4 = e0
% 42.81/13.35  																																					|
% 42.81/13.35  																																					| Equations (912) can reduce 23 to:
% 42.81/13.35  																																					| (311) $false
% 42.81/13.35  																																					|
% 42.81/13.35  																																					|-The branch is then unsatisfiable
% 42.81/13.35  																																				|-Branch two:
% 42.81/13.35  																																				| (465)  ~ (all_0_82_82 = e4)
% 42.81/13.35  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 42.81/13.35  																																				|
% 42.81/13.35  																																					+-Applying beta-rule and splitting (3629), into two cases.
% 42.81/13.35  																																					|-Branch one:
% 42.81/13.35  																																					| (583) all_0_90_90 = e4
% 42.81/13.35  																																					|
% 42.81/13.35  																																						| Equations (583) can reduce 34 to:
% 42.81/13.35  																																						| (495)  ~ (all_0_93_93 = e4)
% 42.81/13.35  																																						|
% 42.81/13.35  																																						| Simplifying 495 yields:
% 42.81/13.35  																																						| (496)  ~ (all_0_93_93 = e4)
% 42.81/13.35  																																						|
% 42.81/13.35  																																						| Equations (583) can reduce 294 to:
% 42.81/13.35  																																						| (79)  ~ (e4 = e2)
% 42.81/13.35  																																						|
% 42.81/13.35  																																						| Equations (583) can reduce 762 to:
% 42.81/13.35  																																						| (23)  ~ (e4 = e0)
% 42.81/13.35  																																						|
% 42.81/13.35  																																						| From (583) and (218) follows:
% 42.81/13.35  																																						| (4391) op(e1, e3) = e4
% 42.81/13.35  																																						|
% 42.81/13.35  																																						+-Applying beta-rule and splitting (188), into two cases.
% 42.81/13.35  																																						|-Branch one:
% 42.81/13.35  																																						| (676) all_0_78_78 = e1
% 42.81/13.35  																																						|
% 42.81/13.35  																																							| Equations (676) can reduce 1601 to:
% 42.81/13.35  																																							| (311) $false
% 42.81/13.35  																																							|
% 42.81/13.35  																																							|-The branch is then unsatisfiable
% 42.81/13.35  																																						|-Branch two:
% 42.81/13.35  																																						| (1601)  ~ (all_0_78_78 = e1)
% 42.81/13.35  																																						| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 42.81/13.35  																																						|
% 42.81/13.35  																																							+-Applying beta-rule and splitting (168), into two cases.
% 42.81/13.35  																																							|-Branch one:
% 42.81/13.35  																																							| (638) all_0_81_81 = e4
% 42.81/13.35  																																							|
% 42.81/13.35  																																								| Equations (638) can reduce 278 to:
% 42.81/13.35  																																								| (640)  ~ (all_0_78_78 = e4)
% 42.81/13.35  																																								|
% 42.81/13.35  																																								| Equations (638) can reduce 277 to:
% 42.81/13.35  																																								| (495)  ~ (all_0_93_93 = e4)
% 42.81/13.35  																																								|
% 42.81/13.35  																																								| Simplifying 495 yields:
% 42.81/13.35  																																								| (496)  ~ (all_0_93_93 = e4)
% 42.81/13.35  																																								|
% 42.81/13.35  																																								| Equations (638) can reduce 628 to:
% 42.81/13.35  																																								| (256)  ~ (e4 = e1)
% 42.81/13.35  																																								|
% 42.81/13.35  																																								| Equations (638) can reduce 257 to:
% 42.81/13.35  																																								| (23)  ~ (e4 = e0)
% 42.81/13.35  																																								|
% 42.81/13.35  																																								+-Applying beta-rule and splitting (1718), into two cases.
% 42.81/13.35  																																								|-Branch one:
% 42.81/13.35  																																								| (384) all_0_86_86 = e1
% 42.81/13.35  																																								|
% 42.81/13.35  																																									| Combining equations (345,384) yields a new equation:
% 42.81/13.35  																																									| (408) e2 = e1
% 42.81/13.35  																																									|
% 42.81/13.35  																																									| Simplifying 408 yields:
% 42.81/13.35  																																									| (385) e2 = e1
% 42.81/13.35  																																									|
% 42.81/13.35  																																									| Equations (385) can reduce 243 to:
% 42.81/13.35  																																									| (311) $false
% 42.81/13.35  																																									|
% 42.81/13.35  																																									|-The branch is then unsatisfiable
% 42.81/13.35  																																								|-Branch two:
% 42.81/13.35  																																								| (387)  ~ (all_0_86_86 = e1)
% 42.81/13.35  																																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 42.81/13.35  																																								|
% 42.81/13.35  																																									+-Applying beta-rule and splitting (106), into two cases.
% 42.81/13.35  																																									|-Branch one:
% 42.81/13.35  																																									| (771) all_0_78_78 = e3
% 42.81/13.35  																																									|
% 42.81/13.35  																																										| Equations (771) can reduce 125 to:
% 42.81/13.35  																																										| (1070)  ~ (all_0_95_95 = e3)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Simplifying 1070 yields:
% 42.81/13.35  																																										| (765)  ~ (all_0_95_95 = e3)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (771) can reduce 640 to:
% 42.81/13.35  																																										| (783)  ~ (e4 = e3)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Simplifying 783 yields:
% 42.81/13.35  																																										| (177)  ~ (e4 = e3)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (771) can reduce 346 to:
% 42.81/13.35  																																										| (169)  ~ (e3 = e2)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										| Equations (771) can reduce 86 to:
% 42.81/13.35  																																										| (50)  ~ (e3 = e0)
% 42.81/13.35  																																										|
% 42.81/13.35  																																										+-Applying beta-rule and splitting (270), into two cases.
% 42.81/13.35  																																										|-Branch one:
% 42.81/13.35  																																										| (744) all_0_95_95 = e3
% 42.81/13.35  																																										|
% 42.81/13.35  																																											| Equations (744) can reduce 765 to:
% 42.81/13.35  																																											| (311) $false
% 42.81/13.35  																																											|
% 42.81/13.35  																																											|-The branch is then unsatisfiable
% 42.81/13.35  																																										|-Branch two:
% 42.81/13.35  																																										| (765)  ~ (all_0_95_95 = e3)
% 42.81/13.35  																																										| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																										|
% 42.81/13.35  																																											+-Applying beta-rule and splitting (250), into two cases.
% 42.81/13.35  																																											|-Branch one:
% 42.81/13.35  																																											| (635) all_0_81_81 = e3
% 42.81/13.35  																																											|
% 42.81/13.35  																																												| Combining equations (638,635) yields a new equation:
% 42.81/13.35  																																												| (790) e4 = e3
% 42.81/13.35  																																												|
% 42.81/13.35  																																												| Simplifying 790 yields:
% 42.81/13.35  																																												| (434) e4 = e3
% 42.81/13.35  																																												|
% 42.81/13.35  																																												| Equations (434) can reduce 177 to:
% 42.81/13.35  																																												| (311) $false
% 42.81/13.35  																																												|
% 42.81/13.35  																																												|-The branch is then unsatisfiable
% 42.81/13.35  																																											|-Branch two:
% 42.81/13.35  																																											| (420)  ~ (all_0_81_81 = e3)
% 42.81/13.35  																																											| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																											|
% 42.81/13.35  																																												+-Applying beta-rule and splitting (65), into two cases.
% 42.81/13.35  																																												|-Branch one:
% 42.81/13.35  																																												| (522) all_0_93_93 = e2
% 42.81/13.35  																																												|
% 42.81/13.35  																																													| Equations (522) can reduce 300 to:
% 42.81/13.35  																																													| (311) $false
% 42.81/13.35  																																													|
% 42.81/13.35  																																													|-The branch is then unsatisfiable
% 42.81/13.35  																																												|-Branch two:
% 42.81/13.35  																																												| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.35  																																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.81/13.35  																																												|
% 42.81/13.35  																																													+-Applying beta-rule and splitting (766), into two cases.
% 42.81/13.35  																																													|-Branch one:
% 42.81/13.35  																																													| (778) all_0_96_96 = e3
% 42.81/13.35  																																													|
% 42.81/13.35  																																														| Combining equations (1704,778) yields a new equation:
% 42.81/13.35  																																														| (548) e3 = e2
% 42.81/13.35  																																														|
% 42.81/13.35  																																														| Equations (548) can reduce 169 to:
% 42.81/13.35  																																														| (311) $false
% 42.81/13.35  																																														|
% 42.81/13.35  																																														|-The branch is then unsatisfiable
% 42.81/13.35  																																													|-Branch two:
% 42.81/13.35  																																													| (964)  ~ (all_0_96_96 = e3)
% 42.81/13.35  																																													| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																													|
% 42.81/13.35  																																														| Equations (1704) can reduce 964 to:
% 42.81/13.35  																																														| (356)  ~ (e3 = e2)
% 42.81/13.35  																																														|
% 42.81/13.35  																																														| Simplifying 356 yields:
% 42.81/13.35  																																														| (169)  ~ (e3 = e2)
% 42.81/13.35  																																														|
% 42.81/13.35  																																														+-Applying beta-rule and splitting (565), into two cases.
% 42.81/13.35  																																														|-Branch one:
% 42.81/13.35  																																														| (566) all_0_93_93 = e1
% 42.81/13.35  																																														|
% 42.81/13.35  																																															| Equations (566) can reduce 481 to:
% 42.81/13.35  																																															| (311) $false
% 42.81/13.35  																																															|
% 42.81/13.35  																																															|-The branch is then unsatisfiable
% 42.81/13.35  																																														|-Branch two:
% 42.81/13.35  																																														| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.35  																																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.81/13.35  																																														|
% 42.81/13.35  																																															+-Applying beta-rule and splitting (207), into two cases.
% 42.81/13.35  																																															|-Branch one:
% 42.81/13.35  																																															| (416) all_0_80_80 = e3
% 42.81/13.35  																																															|
% 42.81/13.35  																																																| Combining equations (416,546) yields a new equation:
% 42.81/13.35  																																																| (547) e3 = e2
% 42.81/13.35  																																																|
% 42.81/13.35  																																																| Simplifying 547 yields:
% 42.81/13.35  																																																| (548) e3 = e2
% 42.81/13.35  																																																|
% 42.81/13.35  																																																| Equations (548) can reduce 169 to:
% 42.81/13.35  																																																| (311) $false
% 42.81/13.35  																																																|
% 42.81/13.35  																																																|-The branch is then unsatisfiable
% 42.81/13.35  																																															|-Branch two:
% 42.81/13.35  																																															| (2347)  ~ (all_0_80_80 = e3)
% 42.81/13.35  																																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.35  																																															|
% 42.81/13.35  																																																| Equations (546) can reduce 2347 to:
% 42.81/13.35  																																																| (356)  ~ (e3 = e2)
% 42.81/13.35  																																																|
% 42.81/13.35  																																																| Simplifying 356 yields:
% 42.81/13.35  																																																| (169)  ~ (e3 = e2)
% 42.81/13.35  																																																|
% 42.81/13.35  																																																+-Applying beta-rule and splitting (4488), into two cases.
% 42.81/13.35  																																																|-Branch one:
% 42.81/13.35  																																																| (804) all_0_85_85 = e3
% 42.81/13.35  																																																|
% 42.81/13.35  																																																	| Combining equations (512,804) yields a new equation:
% 42.81/13.35  																																																	| (548) e3 = e2
% 42.81/13.35  																																																	|
% 42.81/13.35  																																																	| Equations (548) can reduce 169 to:
% 42.81/13.35  																																																	| (311) $false
% 42.81/13.35  																																																	|
% 42.81/13.35  																																																	|-The branch is then unsatisfiable
% 42.81/13.35  																																																|-Branch two:
% 42.81/13.35  																																																| (952)  ~ (all_0_85_85 = e3)
% 42.81/13.35  																																																| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 42.81/13.35  																																																|
% 42.81/13.35  																																																	+-Applying beta-rule and splitting (569), into two cases.
% 42.81/13.35  																																																	|-Branch one:
% 42.81/13.35  																																																	| (570) all_0_93_93 = e3
% 42.81/13.35  																																																	|
% 42.81/13.35  																																																		| Equations (570) can reduce 509 to:
% 42.81/13.35  																																																		| (50)  ~ (e3 = e0)
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																		| From (570) and (21) follows:
% 42.81/13.35  																																																		| (4652) op(e1, e3) = all_0_76_76
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																		+-Applying beta-rule and splitting (965), into two cases.
% 42.81/13.35  																																																		|-Branch one:
% 42.81/13.35  																																																		| (556) all_0_97_97 = e3
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																			| From (556) and (8666) follows:
% 42.81/13.35  																																																			| (8938) op(e1, e3) = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Instantiating formula (262) with e1, e3, e4, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e4, yields:
% 42.81/13.35  																																																			| (4717) all_0_76_76 = e4
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Instantiating formula (262) with e1, e3, e0, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e0, yields:
% 42.81/13.35  																																																			| (8960) all_0_76_76 = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Combining equations (8960,4717) yields a new equation:
% 42.81/13.35  																																																			| (912) e4 = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Equations (912) can reduce 23 to:
% 42.81/13.35  																																																			| (311) $false
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			|-The branch is then unsatisfiable
% 42.81/13.35  																																																		|-Branch two:
% 42.81/13.35  																																																		| (428)  ~ (all_0_97_97 = e3)
% 42.81/13.35  																																																		| (969) all_0_98_98 = e3
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																			| Combining equations (969,1121) yields a new equation:
% 42.81/13.35  																																																			| (599) e3 = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Simplifying 599 yields:
% 42.81/13.35  																																																			| (600) e3 = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Equations (600) can reduce 50 to:
% 42.81/13.35  																																																			| (311) $false
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			|-The branch is then unsatisfiable
% 42.81/13.35  																																																	|-Branch two:
% 42.81/13.35  																																																	| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.35  																																																	| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.81/13.35  																																																	|
% 42.81/13.35  																																																		+-Applying beta-rule and splitting (4559), into two cases.
% 42.81/13.35  																																																		|-Branch one:
% 42.81/13.35  																																																		| (570) all_0_93_93 = e3
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																			| Equations (570) can reduce 602 to:
% 42.81/13.35  																																																			| (311) $false
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			|-The branch is then unsatisfiable
% 42.81/13.35  																																																		|-Branch two:
% 42.81/13.35  																																																		| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.35  																																																		| (969) all_0_98_98 = e3
% 42.81/13.35  																																																		|
% 42.81/13.35  																																																			| Combining equations (1121,969) yields a new equation:
% 42.81/13.35  																																																			| (600) e3 = e0
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			| Equations (600) can reduce 50 to:
% 42.81/13.35  																																																			| (311) $false
% 42.81/13.35  																																																			|
% 42.81/13.35  																																																			|-The branch is then unsatisfiable
% 42.81/13.35  																																									|-Branch two:
% 42.81/13.35  																																									| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.35  																																									| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 42.81/13.35  																																									|
% 42.81/13.35  																																										+-Applying beta-rule and splitting (65), into two cases.
% 42.81/13.35  																																										|-Branch one:
% 42.81/13.35  																																										| (522) all_0_93_93 = e2
% 42.81/13.35  																																										|
% 42.81/13.35  																																											| Equations (522) can reduce 300 to:
% 42.81/13.35  																																											| (311) $false
% 42.81/13.35  																																											|
% 42.81/13.35  																																											|-The branch is then unsatisfiable
% 42.81/13.35  																																										|-Branch two:
% 42.81/13.35  																																										| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.35  																																										| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.81/13.35  																																										|
% 42.81/13.35  																																											+-Applying beta-rule and splitting (220), into two cases.
% 42.81/13.35  																																											|-Branch one:
% 42.81/13.35  																																											| (771) all_0_78_78 = e3
% 42.81/13.35  																																											|
% 42.81/13.35  																																												| Equations (771) can reduce 418 to:
% 42.81/13.35  																																												| (311) $false
% 42.81/13.35  																																												|
% 42.81/13.35  																																												|-The branch is then unsatisfiable
% 42.81/13.35  																																											|-Branch two:
% 42.81/13.35  																																											| (418)  ~ (all_0_78_78 = e3)
% 42.81/13.35  																																											| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 42.81/13.35  																																											|
% 42.81/13.35  																																												+-Applying beta-rule and splitting (565), into two cases.
% 42.81/13.35  																																												|-Branch one:
% 42.81/13.35  																																												| (566) all_0_93_93 = e1
% 42.81/13.35  																																												|
% 42.81/13.35  																																													| Equations (566) can reduce 481 to:
% 42.81/13.35  																																													| (311) $false
% 42.81/13.35  																																													|
% 42.81/13.35  																																													|-The branch is then unsatisfiable
% 42.81/13.35  																																												|-Branch two:
% 42.81/13.35  																																												| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.35  																																												| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.81/13.35  																																												|
% 42.81/13.35  																																													+-Applying beta-rule and splitting (2122), into two cases.
% 42.81/13.35  																																													|-Branch one:
% 42.81/13.35  																																													| (750) all_0_90_90 = e1
% 42.81/13.35  																																													|
% 42.81/13.35  																																														| Combining equations (750,583) yields a new equation:
% 42.81/13.35  																																														| (814) e4 = e1
% 42.81/13.35  																																														|
% 42.81/13.35  																																														| Equations (814) can reduce 256 to:
% 42.81/13.35  																																														| (311) $false
% 42.81/13.35  																																														|
% 42.81/13.35  																																														|-The branch is then unsatisfiable
% 42.81/13.35  																																													|-Branch two:
% 42.81/13.35  																																													| (678)  ~ (all_0_90_90 = e1)
% 42.81/13.35  																																													| (785) all_0_95_95 = e1
% 42.81/13.35  																																													|
% 42.81/13.35  																																														| Equations (785) can reduce 105 to:
% 42.81/13.35  																																														| (485)  ~ (all_0_97_97 = e1)
% 42.81/13.35  																																														|
% 42.81/13.35  																																														| Simplifying 485 yields:
% 42.81/13.35  																																														| (486)  ~ (all_0_97_97 = e1)
% 42.81/13.35  																																														|
% 42.81/13.35  																																														| Equations (785) can reduce 355 to:
% 42.81/13.35  																																														| (487)  ~ (e2 = e1)
% 42.81/13.36  																																														|
% 42.81/13.36  																																														| Simplifying 487 yields:
% 42.81/13.36  																																														| (243)  ~ (e2 = e1)
% 42.81/13.36  																																														|
% 42.81/13.36  																																														| Equations (785) can reduce 893 to:
% 42.81/13.36  																																														| (264)  ~ (e1 = e0)
% 42.81/13.36  																																														|
% 42.81/13.36  																																														+-Applying beta-rule and splitting (112), into two cases.
% 42.81/13.36  																																														|-Branch one:
% 42.81/13.36  																																														| (538) all_0_97_97 = e2
% 42.81/13.36  																																														|
% 42.81/13.36  																																															| Equations (538) can reduce 527 to:
% 42.81/13.36  																																															| (311) $false
% 42.81/13.36  																																															|
% 42.81/13.36  																																															|-The branch is then unsatisfiable
% 42.81/13.36  																																														|-Branch two:
% 42.81/13.36  																																														| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.36  																																														| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 42.81/13.36  																																														|
% 42.81/13.36  																																															+-Applying beta-rule and splitting (541), into two cases.
% 42.81/13.36  																																															|-Branch one:
% 42.81/13.36  																																															| (542) all_0_97_97 = e1
% 42.81/13.36  																																															|
% 42.81/13.36  																																																| Equations (542) can reduce 486 to:
% 42.81/13.36  																																																| (311) $false
% 42.81/13.36  																																																|
% 42.81/13.36  																																																|-The branch is then unsatisfiable
% 42.81/13.36  																																															|-Branch two:
% 42.81/13.36  																																															| (486)  ~ (all_0_97_97 = e1)
% 42.81/13.36  																																															| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 42.81/13.36  																																															|
% 42.81/13.36  																																																+-Applying beta-rule and splitting (545), into two cases.
% 42.81/13.36  																																																|-Branch one:
% 42.81/13.36  																																																| (556) all_0_97_97 = e3
% 42.81/13.36  																																																|
% 42.81/13.36  																																																	| Equations (556) can reduce 258 to:
% 42.81/13.36  																																																	| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																	| Equations (556) can reduce 319 to:
% 42.81/13.36  																																																	| (783)  ~ (e4 = e3)
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																	| Simplifying 783 yields:
% 42.81/13.36  																																																	| (177)  ~ (e4 = e3)
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																	| Equations (556) can reduce 486 to:
% 42.81/13.36  																																																	| (20)  ~ (e3 = e1)
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																	| Equations (556) can reduce 609 to:
% 42.81/13.36  																																																	| (50)  ~ (e3 = e0)
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																	+-Applying beta-rule and splitting (151), into two cases.
% 42.81/13.36  																																																	|-Branch one:
% 42.81/13.36  																																																	| (824) all_0_80_80 = e1
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																		| Combining equations (824,546) yields a new equation:
% 42.81/13.36  																																																		| (385) e2 = e1
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																		| Equations (385) can reduce 243 to:
% 42.81/13.36  																																																		| (311) $false
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																		|-The branch is then unsatisfiable
% 42.81/13.36  																																																	|-Branch two:
% 42.81/13.36  																																																	| (828)  ~ (all_0_80_80 = e1)
% 42.81/13.36  																																																	| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																		+-Applying beta-rule and splitting (829), into two cases.
% 42.81/13.36  																																																		|-Branch one:
% 42.81/13.36  																																																		| (482) all_0_87_87 = e1
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																			| Combining equations (861,482) yields a new equation:
% 42.81/13.36  																																																			| (865) e1 = e0
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																			| Equations (865) can reduce 264 to:
% 42.81/13.36  																																																			| (311) $false
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																			|-The branch is then unsatisfiable
% 42.81/13.36  																																																		|-Branch two:
% 42.81/13.36  																																																		| (625)  ~ (all_0_87_87 = e1)
% 42.81/13.36  																																																		| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																			+-Applying beta-rule and splitting (835), into two cases.
% 42.81/13.36  																																																			|-Branch one:
% 42.81/13.36  																																																			| (836) all_0_92_92 = e1
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				| Equations (836) can reduce 426 to:
% 42.81/13.36  																																																				| (683)  ~ (e3 = e1)
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				| Simplifying 683 yields:
% 42.81/13.36  																																																				| (20)  ~ (e3 = e1)
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				+-Applying beta-rule and splitting (775), into two cases.
% 42.81/13.36  																																																				|-Branch one:
% 42.81/13.36  																																																				| (789) all_0_82_82 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																					| Combining equations (789,910) yields a new equation:
% 42.81/13.36  																																																					| (599) e3 = e0
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																					| Simplifying 599 yields:
% 42.81/13.36  																																																					| (600) e3 = e0
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																					| Equations (600) can reduce 50 to:
% 42.81/13.36  																																																					| (311) $false
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																					|-The branch is then unsatisfiable
% 42.81/13.36  																																																				|-Branch two:
% 42.81/13.36  																																																				| (793)  ~ (all_0_82_82 = e3)
% 42.81/13.36  																																																				| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																					+-Applying beta-rule and splitting (794), into two cases.
% 42.81/13.36  																																																					|-Branch one:
% 42.81/13.36  																																																					| (754) all_0_90_90 = e3
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																						| Combining equations (583,754) yields a new equation:
% 42.81/13.36  																																																						| (790) e4 = e3
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						| Simplifying 790 yields:
% 42.81/13.36  																																																						| (434) e4 = e3
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						| Equations (434) can reduce 177 to:
% 42.81/13.36  																																																						| (311) $false
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						|-The branch is then unsatisfiable
% 42.81/13.36  																																																					|-Branch two:
% 42.81/13.36  																																																					| (745)  ~ (all_0_90_90 = e3)
% 42.81/13.36  																																																					| (744) all_0_95_95 = e3
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																						| Combining equations (744,785) yields a new equation:
% 42.81/13.36  																																																						| (825) e3 = e1
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						| Simplifying 825 yields:
% 42.81/13.36  																																																						| (772) e3 = e1
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						| Equations (772) can reduce 20 to:
% 42.81/13.36  																																																						| (311) $false
% 42.81/13.36  																																																						|
% 42.81/13.36  																																																						|-The branch is then unsatisfiable
% 42.81/13.36  																																																			|-Branch two:
% 42.81/13.36  																																																			| (840)  ~ (all_0_92_92 = e1)
% 42.81/13.36  																																																			| (542) all_0_97_97 = e1
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				| Combining equations (542,556) yields a new equation:
% 42.81/13.36  																																																				| (772) e3 = e1
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				| Equations (772) can reduce 20 to:
% 42.81/13.36  																																																				| (311) $false
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				|-The branch is then unsatisfiable
% 42.81/13.36  																																																|-Branch two:
% 42.81/13.36  																																																| (428)  ~ (all_0_97_97 = e3)
% 42.81/13.36  																																																| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 42.81/13.36  																																																|
% 42.81/13.36  																																																	+-Applying beta-rule and splitting (207), into two cases.
% 42.81/13.36  																																																	|-Branch one:
% 42.81/13.36  																																																	| (416) all_0_80_80 = e3
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																		| Combining equations (416,546) yields a new equation:
% 42.81/13.36  																																																		| (547) e3 = e2
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																		| Simplifying 547 yields:
% 42.81/13.36  																																																		| (548) e3 = e2
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																		| Equations (548) can reduce 169 to:
% 42.81/13.36  																																																		| (311) $false
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																		|-The branch is then unsatisfiable
% 42.81/13.36  																																																	|-Branch two:
% 42.81/13.36  																																																	| (2347)  ~ (all_0_80_80 = e3)
% 42.81/13.36  																																																	| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.36  																																																	|
% 42.81/13.36  																																																		+-Applying beta-rule and splitting (569), into two cases.
% 42.81/13.36  																																																		|-Branch one:
% 42.81/13.36  																																																		| (570) all_0_93_93 = e3
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																			| Equations (570) can reduce 283 to:
% 42.81/13.36  																																																			| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																			| Equations (570) can reduce 496 to:
% 42.81/13.36  																																																			| (783)  ~ (e4 = e3)
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																			| Simplifying 783 yields:
% 42.81/13.36  																																																			| (177)  ~ (e4 = e3)
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																			+-Applying beta-rule and splitting (2481), into two cases.
% 42.81/13.36  																																																			|-Branch one:
% 42.81/13.36  																																																			| (1265) all_0_84_84 = e3
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				| Combining equations (438,1265) yields a new equation:
% 42.81/13.36  																																																				| (790) e4 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				| Simplifying 790 yields:
% 42.81/13.36  																																																				| (434) e4 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				| Equations (434) can reduce 177 to:
% 42.81/13.36  																																																				| (311) $false
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				|-The branch is then unsatisfiable
% 42.81/13.36  																																																			|-Branch two:
% 42.81/13.36  																																																			| (422)  ~ (all_0_84_84 = e3)
% 42.81/13.36  																																																			| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				+-Applying beta-rule and splitting (3765), into two cases.
% 42.81/13.36  																																																				|-Branch one:
% 42.81/13.36  																																																				| (882) all_0_92_92 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																					| Equations (882) can reduce 426 to:
% 42.81/13.36  																																																					| (311) $false
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																					|-The branch is then unsatisfiable
% 42.81/13.36  																																																				|-Branch two:
% 42.81/13.36  																																																				| (426)  ~ (all_0_92_92 = e3)
% 42.81/13.36  																																																				| (556) all_0_97_97 = e3
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																					| Equations (556) can reduce 428 to:
% 42.81/13.36  																																																					| (311) $false
% 42.81/13.36  																																																					|
% 42.81/13.36  																																																					|-The branch is then unsatisfiable
% 42.81/13.36  																																																		|-Branch two:
% 42.81/13.36  																																																		| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.36  																																																		| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.81/13.36  																																																		|
% 42.81/13.36  																																																			+-Applying beta-rule and splitting (603), into two cases.
% 42.81/13.36  																																																			|-Branch one:
% 42.81/13.36  																																																			| (604) all_0_93_93 = e0
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				| Equations (604) can reduce 509 to:
% 42.81/13.36  																																																				| (311) $false
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				|-The branch is then unsatisfiable
% 42.81/13.36  																																																			|-Branch two:
% 42.81/13.36  																																																			| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.36  																																																			| (607) all_0_93_93 = e4
% 42.81/13.36  																																																			|
% 42.81/13.36  																																																				| Equations (607) can reduce 496 to:
% 42.81/13.36  																																																				| (311) $false
% 42.81/13.36  																																																				|
% 42.81/13.36  																																																				|-The branch is then unsatisfiable
% 42.81/13.36  																																							|-Branch two:
% 42.81/13.36  																																							| (634)  ~ (all_0_81_81 = e4)
% 42.81/13.36  																																							| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 42.81/13.36  																																							|
% 42.81/13.36  																																								+-Applying beta-rule and splitting (65), into two cases.
% 42.81/13.36  																																								|-Branch one:
% 42.81/13.36  																																								| (522) all_0_93_93 = e2
% 42.81/13.36  																																								|
% 42.81/13.36  																																									| Equations (522) can reduce 300 to:
% 42.81/13.36  																																									| (311) $false
% 42.81/13.36  																																									|
% 42.81/13.36  																																									|-The branch is then unsatisfiable
% 42.81/13.36  																																								|-Branch two:
% 42.81/13.36  																																								| (300)  ~ (all_0_93_93 = e2)
% 42.81/13.36  																																								| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 42.81/13.36  																																								|
% 42.81/13.36  																																									+-Applying beta-rule and splitting (565), into two cases.
% 42.81/13.36  																																									|-Branch one:
% 42.81/13.36  																																									| (566) all_0_93_93 = e1
% 42.81/13.36  																																									|
% 42.81/13.36  																																										| Equations (566) can reduce 481 to:
% 42.81/13.36  																																										| (311) $false
% 42.81/13.36  																																										|
% 42.81/13.36  																																										|-The branch is then unsatisfiable
% 42.81/13.36  																																									|-Branch two:
% 42.81/13.36  																																									| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.36  																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 42.81/13.36  																																									|
% 42.81/13.36  																																										+-Applying beta-rule and splitting (569), into two cases.
% 42.81/13.36  																																										|-Branch one:
% 42.81/13.36  																																										| (570) all_0_93_93 = e3
% 42.81/13.36  																																										|
% 42.81/13.36  																																											| Equations (570) can reduce 496 to:
% 42.81/13.36  																																											| (783)  ~ (e4 = e3)
% 42.81/13.36  																																											|
% 42.81/13.36  																																											| Simplifying 783 yields:
% 42.81/13.36  																																											| (177)  ~ (e4 = e3)
% 42.81/13.36  																																											|
% 42.81/13.36  																																											+-Applying beta-rule and splitting (2559), into two cases.
% 42.81/13.36  																																											|-Branch one:
% 42.81/13.36  																																											| (493) all_0_85_85 = e4
% 42.81/13.36  																																											|
% 42.81/13.36  																																												| Combining equations (512,493) yields a new equation:
% 42.81/13.36  																																												| (310) e4 = e2
% 42.81/13.36  																																												|
% 42.81/13.36  																																												| Equations (310) can reduce 79 to:
% 42.81/13.36  																																												| (311) $false
% 42.81/13.36  																																												|
% 42.81/13.36  																																												|-The branch is then unsatisfiable
% 42.81/13.36  																																											|-Branch two:
% 42.81/13.36  																																											| (648)  ~ (all_0_85_85 = e4)
% 42.81/13.36  																																											| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 42.81/13.36  																																											|
% 42.81/13.36  																																												+-Applying beta-rule and splitting (2576), into two cases.
% 42.81/13.36  																																												|-Branch one:
% 42.81/13.36  																																												| (607) all_0_93_93 = e4
% 42.81/13.36  																																												|
% 42.81/13.36  																																													| Combining equations (570,607) yields a new equation:
% 42.81/13.36  																																													| (434) e4 = e3
% 42.81/13.36  																																													|
% 42.81/13.36  																																													| Equations (434) can reduce 177 to:
% 42.81/13.36  																																													| (311) $false
% 42.81/13.36  																																													|
% 42.81/13.36  																																													|-The branch is then unsatisfiable
% 42.81/13.36  																																												|-Branch two:
% 42.81/13.36  																																												| (496)  ~ (all_0_93_93 = e4)
% 42.81/13.36  																																												| (2650) all_0_98_98 = e4
% 42.81/13.36  																																												|
% 42.81/13.36  																																													| Combining equations (1121,2650) yields a new equation:
% 42.81/13.36  																																													| (912) e4 = e0
% 42.81/13.36  																																													|
% 42.81/13.36  																																													| Equations (912) can reduce 23 to:
% 42.81/13.36  																																													| (311) $false
% 42.81/13.36  																																													|
% 42.81/13.36  																																													|-The branch is then unsatisfiable
% 42.81/13.36  																																										|-Branch two:
% 42.81/13.36  																																										| (602)  ~ (all_0_93_93 = e3)
% 42.81/13.36  																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 42.81/13.36  																																										|
% 42.81/13.36  																																											+-Applying beta-rule and splitting (603), into two cases.
% 42.81/13.36  																																											|-Branch one:
% 42.81/13.36  																																											| (604) all_0_93_93 = e0
% 42.81/13.36  																																											|
% 42.81/13.36  																																												| Equations (604) can reduce 509 to:
% 42.81/13.36  																																												| (311) $false
% 42.81/13.36  																																												|
% 42.81/13.36  																																												|-The branch is then unsatisfiable
% 42.81/13.36  																																											|-Branch two:
% 42.81/13.36  																																											| (509)  ~ (all_0_93_93 = e0)
% 42.81/13.36  																																											| (607) all_0_93_93 = e4
% 42.81/13.36  																																											|
% 42.81/13.36  																																												| Equations (607) can reduce 496 to:
% 42.81/13.36  																																												| (311) $false
% 42.81/13.36  																																												|
% 42.81/13.36  																																												|-The branch is then unsatisfiable
% 42.81/13.36  																																					|-Branch two:
% 42.81/13.36  																																					| (467)  ~ (all_0_90_90 = e4)
% 42.81/13.36  																																					| (894) all_0_95_95 = e4
% 42.81/13.36  																																					|
% 42.81/13.36  																																						| Equations (894) can reduce 315 to:
% 42.81/13.36  																																						| (311) $false
% 42.81/13.36  																																						|
% 42.81/13.36  																																						|-The branch is then unsatisfiable
% 42.81/13.36  																													|-Branch two:
% 42.81/13.36  																													| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.36  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 42.81/13.36  																													|
% 42.81/13.36  																														+-Applying beta-rule and splitting (254), into two cases.
% 42.81/13.36  																														|-Branch one:
% 42.81/13.36  																														| (910) all_0_82_82 = e0
% 42.81/13.36  																														|
% 42.81/13.36  																															| Equations (910) can reduce 914 to:
% 42.81/13.36  																															| (311) $false
% 42.81/13.36  																															|
% 42.81/13.36  																															|-The branch is then unsatisfiable
% 42.81/13.36  																														|-Branch two:
% 42.81/13.36  																														| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.36  																														| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.36  																														|
% 42.81/13.36  																															+-Applying beta-rule and splitting (915), into two cases.
% 42.81/13.36  																															|-Branch one:
% 42.81/13.36  																															| (378) all_0_86_86 = e0
% 42.81/13.36  																															|
% 42.81/13.36  																																| Combining equations (345,378) yields a new equation:
% 42.81/13.36  																																| (923) e2 = e0
% 42.81/13.36  																																|
% 42.81/13.36  																																| Simplifying 923 yields:
% 42.81/13.36  																																| (379) e2 = e0
% 42.81/13.36  																																|
% 42.81/13.36  																																| Equations (379) can reduce 76 to:
% 42.81/13.36  																																| (311) $false
% 42.81/13.36  																																|
% 42.81/13.36  																																|-The branch is then unsatisfiable
% 42.81/13.36  																															|-Branch two:
% 42.81/13.36  																															| (381)  ~ (all_0_86_86 = e0)
% 42.81/13.36  																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 42.81/13.36  																															|
% 42.81/13.36  																																+-Applying beta-rule and splitting (927), into two cases.
% 42.81/13.36  																																|-Branch one:
% 42.81/13.36  																																| (758) all_0_90_90 = e0
% 42.81/13.36  																																|
% 42.81/13.36  																																	| Equations (758) can reduce 762 to:
% 42.81/13.36  																																	| (311) $false
% 42.81/13.36  																																	|
% 42.81/13.36  																																	|-The branch is then unsatisfiable
% 42.81/13.36  																																|-Branch two:
% 42.81/13.36  																																| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.36  																																| (858) all_0_95_95 = e0
% 42.81/13.36  																																|
% 42.81/13.36  																																	| Equations (858) can reduce 893 to:
% 42.81/13.36  																																	| (311) $false
% 42.81/13.36  																																	|
% 42.81/13.36  																																	|-The branch is then unsatisfiable
% 42.81/13.36  																									|-Branch two:
% 42.81/13.36  																									| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.36  																									| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 42.81/13.36  																									|
% 42.81/13.36  																										+-Applying beta-rule and splitting (1658), into two cases.
% 42.81/13.36  																										|-Branch one:
% 42.81/13.36  																										| (390) all_0_79_79 = e2
% 42.81/13.36  																										|
% 42.81/13.36  																											| Combining equations (457,390) yields a new equation:
% 42.81/13.36  																											| (385) e2 = e1
% 42.81/13.36  																											|
% 42.81/13.36  																											| Equations (385) can reduce 243 to:
% 42.81/13.36  																											| (311) $false
% 42.81/13.36  																											|
% 42.81/13.36  																											|-The branch is then unsatisfiable
% 42.81/13.36  																										|-Branch two:
% 42.81/13.36  																										| (1622)  ~ (all_0_79_79 = e2)
% 42.81/13.36  																										| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 42.81/13.36  																										|
% 42.81/13.36  																											+-Applying beta-rule and splitting (3249), into two cases.
% 42.81/13.36  																											|-Branch one:
% 42.81/13.36  																											| (546) all_0_80_80 = e2
% 42.81/13.36  																											|
% 42.81/13.36  																												| Equations (546) can reduce 394 to:
% 42.81/13.36  																												| (311) $false
% 42.81/13.36  																												|
% 42.81/13.36  																												|-The branch is then unsatisfiable
% 42.81/13.36  																											|-Branch two:
% 42.81/13.36  																											| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.36  																											| (473) all_0_81_81 = e2
% 42.81/13.36  																											|
% 42.81/13.36  																												| Equations (473) can reduce 396 to:
% 42.81/13.36  																												| (311) $false
% 42.81/13.36  																												|
% 42.81/13.36  																												|-The branch is then unsatisfiable
% 42.81/13.36  																			|-Branch two:
% 42.81/13.36  																			| (889)  ~ (all_0_87_87 = e0)
% 42.81/13.36  																			| (507) all_0_88_88 = e0
% 42.81/13.36  																			|
% 42.81/13.36  																				| Combining equations (507,504) yields a new equation:
% 42.81/13.36  																				| (865) e1 = e0
% 42.81/13.36  																				|
% 42.81/13.36  																				| Equations (865) can reduce 264 to:
% 42.81/13.36  																				| (311) $false
% 42.81/13.36  																				|
% 42.81/13.36  																				|-The branch is then unsatisfiable
% 42.81/13.36  																	|-Branch two:
% 42.81/13.36  																	| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 42.81/13.36  																	|
% 42.81/13.36  																		| Applying alpha-rule on (4957) yields:
% 42.81/13.36  																		| (4958) all_0_58_58 = e0
% 42.81/13.36  																		| (4959)  ~ (all_0_59_59 = e2)
% 42.81/13.36  																		|
% 42.81/13.36  																		| Combining equations (8082,4958) yields a new equation:
% 42.81/13.36  																		| (911) e4 = e0
% 42.81/13.36  																		|
% 42.81/13.36  																		| Simplifying 911 yields:
% 42.81/13.36  																		| (912) e4 = e0
% 42.81/13.36  																		|
% 42.81/13.36  																		| Equations (912) can reduce 23 to:
% 42.81/13.36  																		| (311) $false
% 42.81/13.36  																		|
% 42.81/13.36  																		|-The branch is then unsatisfiable
% 42.81/13.36  																|-Branch two:
% 42.81/13.36  																| (779)  ~ (all_0_83_83 = e3)
% 42.81/13.36  																| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 42.81/13.36  																|
% 42.81/13.36  																	+-Applying beta-rule and splitting (456), into two cases.
% 42.81/13.36  																	|-Branch one:
% 42.81/13.36  																	| (795) all_0_83_83 = e3
% 42.81/13.36  																	|
% 42.81/13.36  																		| Equations (795) can reduce 779 to:
% 42.81/13.36  																		| (311) $false
% 42.81/13.36  																		|
% 42.81/13.36  																		|-The branch is then unsatisfiable
% 42.81/13.36  																	|-Branch two:
% 42.81/13.36  																	| (779)  ~ (all_0_83_83 = e3)
% 42.81/13.36  																	| (798) all_0_83_83 = e0
% 42.81/13.36  																	|
% 42.81/13.36  																		| Equations (798) can reduce 1314 to:
% 42.81/13.36  																		| (311) $false
% 42.81/13.36  																		|
% 42.81/13.36  																		|-The branch is then unsatisfiable
% 42.81/13.36  														|-Branch two:
% 42.81/13.36  														| (461)  ~ (all_0_79_79 = e1)
% 42.81/13.36  														| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 42.81/13.36  														|
% 42.81/13.36  															+-Applying beta-rule and splitting (456), into two cases.
% 42.81/13.36  															|-Branch one:
% 42.81/13.36  															| (795) all_0_83_83 = e3
% 42.81/13.36  															|
% 42.81/13.36  																| Equations (795) can reduce 272 to:
% 42.81/13.36  																| (1711)  ~ (all_0_79_79 = e3)
% 42.81/13.36  																|
% 42.81/13.37  																+-Applying beta-rule and splitting (1623), into two cases.
% 42.81/13.37  																|-Branch one:
% 42.81/13.37  																| (457) all_0_79_79 = e1
% 42.81/13.37  																|
% 42.81/13.37  																	| Equations (457) can reduce 461 to:
% 42.81/13.37  																	| (311) $false
% 42.81/13.37  																	|
% 42.81/13.37  																	|-The branch is then unsatisfiable
% 42.81/13.37  																|-Branch two:
% 42.81/13.37  																| (461)  ~ (all_0_79_79 = e1)
% 42.81/13.37  																| (1708) all_0_79_79 = e3
% 42.81/13.37  																|
% 42.81/13.37  																	| Equations (1708) can reduce 1711 to:
% 42.81/13.37  																	| (311) $false
% 42.81/13.37  																	|
% 42.81/13.37  																	|-The branch is then unsatisfiable
% 42.81/13.37  															|-Branch two:
% 42.81/13.37  															| (779)  ~ (all_0_83_83 = e3)
% 42.81/13.37  															| (798) all_0_83_83 = e0
% 42.81/13.37  															|
% 42.81/13.37  																| Equations (798) can reduce 1314 to:
% 42.81/13.37  																| (311) $false
% 42.81/13.37  																|
% 42.81/13.37  																|-The branch is then unsatisfiable
% 42.81/13.37  													|-Branch two:
% 42.81/13.37  													| (1487)  ~ (all_0_91_91 = e0)
% 42.81/13.37  													| (1837) all_0_96_96 = e0
% 42.81/13.37  													|
% 42.81/13.37  														| Combining equations (1704,1837) yields a new equation:
% 42.81/13.37  														| (923) e2 = e0
% 42.81/13.37  														|
% 42.81/13.37  														| Simplifying 923 yields:
% 42.81/13.37  														| (379) e2 = e0
% 42.81/13.37  														|
% 42.81/13.37  														| Equations (379) can reduce 76 to:
% 42.81/13.37  														| (311) $false
% 42.81/13.37  														|
% 42.81/13.37  														|-The branch is then unsatisfiable
% 42.81/13.37  		|-Branch two:
% 42.81/13.37  		| (9507)  ~ (all_0_86_86 = e2)
% 42.81/13.37  		| (9508) all_0_87_87 = e2 | all_0_88_88 = e2
% 42.81/13.37  		|
% 42.81/13.37  			+-Applying beta-rule and splitting (142), into two cases.
% 42.81/13.37  			|-Branch one:
% 42.81/13.37  			| (345) all_0_86_86 = e2
% 42.81/13.37  			|
% 42.81/13.37  				| Equations (345) can reduce 9507 to:
% 42.81/13.37  				| (311) $false
% 42.81/13.37  				|
% 42.81/13.37  				|-The branch is then unsatisfiable
% 42.81/13.37  			|-Branch two:
% 42.81/13.37  			| (9507)  ~ (all_0_86_86 = e2)
% 42.81/13.37  			| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 42.81/13.37  			|
% 42.81/13.37  				+-Applying beta-rule and splitting (62), into two cases.
% 42.81/13.37  				|-Branch one:
% 42.81/13.37  				| (374) all_0_87_87 = e2
% 42.81/13.37  				|
% 42.81/13.37  					| Equations (374) can reduce 73 to:
% 42.81/13.37  					| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 124 to:
% 42.81/13.37  					| (612)  ~ (all_0_84_84 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 162 to:
% 42.81/13.37  					| (9507)  ~ (all_0_86_86 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 181 to:
% 42.81/13.37  					| (350)  ~ (all_0_88_88 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Simplifying 350 yields:
% 42.81/13.37  					| (351)  ~ (all_0_88_88 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 94 to:
% 42.81/13.37  					| (297)  ~ (all_0_92_92 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Simplifying 297 yields:
% 42.81/13.37  					| (298)  ~ (all_0_92_92 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 221 to:
% 42.81/13.37  					| (2376)  ~ (all_0_97_97 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Simplifying 2376 yields:
% 42.81/13.37  					| (527)  ~ (all_0_97_97 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 216 to:
% 42.81/13.37  					| (528)  ~ (e4 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Simplifying 528 yields:
% 42.81/13.37  					| (79)  ~ (e4 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Equations (374) can reduce 227 to:
% 42.81/13.37  					| (356)  ~ (e3 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| Simplifying 356 yields:
% 42.81/13.37  					| (169)  ~ (e3 = e2)
% 42.81/13.37  					|
% 42.81/13.37  					| From (374) and (18) follows:
% 42.81/13.37  					| (9527) op(e2, e2) = all_0_17_17
% 42.81/13.37  					|
% 42.81/13.37  					| From (374) and (149) follows:
% 42.81/13.37  					| (9528) op(e2, e1) = all_0_18_18
% 42.81/13.37  					|
% 42.81/13.37  					| From (374) and (83) follows:
% 42.81/13.37  					| (9529) op(e2, e2) = all_0_65_65
% 42.81/13.37  					|
% 42.81/13.37  					| From (374) and (14) follows:
% 42.81/13.37  					| (9530) op(e2, e1) = e2
% 42.81/13.37  					|
% 42.81/13.37  					| From (374) and (16) follows:
% 42.81/13.37  					| (9531) op(e1, e2) = all_0_64_64
% 42.81/13.37  					|
% 42.81/13.37  					| Instantiating formula (262) with e2, e2, all_0_17_17, e4 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e4, yields:
% 42.81/13.37  					| (9532) all_0_17_17 = e4
% 42.81/13.37  					|
% 42.81/13.37  					| Instantiating formula (262) with e2, e2, all_0_65_65, all_0_17_17 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = all_0_65_65, yields:
% 42.81/13.37  					| (9533) all_0_17_17 = all_0_65_65
% 42.81/13.37  					|
% 42.81/13.37  					| Instantiating formula (262) with e2, e1, e2, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = e2, yields:
% 42.81/13.37  					| (9534) all_0_18_18 = e2
% 42.81/13.37  					|
% 42.81/13.37  					| Instantiating formula (262) with e1, e2, all_0_64_64, all_0_91_91 and discharging atoms op(e1, e2) = all_0_64_64, op(e1, e2) = all_0_91_91, yields:
% 42.81/13.37  					| (9535) all_0_64_64 = all_0_91_91
% 42.81/13.37  					|
% 42.81/13.37  					| Combining equations (9532,9533) yields a new equation:
% 42.81/13.37  					| (9536) all_0_65_65 = e4
% 42.81/13.37  					|
% 42.81/13.37  					| From (9536) and (9529) follows:
% 42.81/13.37  					| (6) op(e2, e2) = e4
% 42.81/13.37  					|
% 42.81/13.37  					| From (9534) and (9528) follows:
% 42.81/13.37  					| (9530) op(e2, e1) = e2
% 42.81/13.37  					|
% 42.81/13.37  					+-Applying beta-rule and splitting (47), into two cases.
% 42.81/13.37  					|-Branch one:
% 42.81/13.37  					| (370) all_0_88_88 = e2
% 42.81/13.37  					|
% 42.81/13.37  						| Equations (370) can reduce 351 to:
% 42.81/13.37  						| (311) $false
% 42.81/13.37  						|
% 42.81/13.37  						|-The branch is then unsatisfiable
% 42.81/13.37  					|-Branch two:
% 42.81/13.37  					| (351)  ~ (all_0_88_88 = e2)
% 42.81/13.37  					| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 42.81/13.37  					|
% 42.81/13.37  						+-Applying beta-rule and splitting (237), into two cases.
% 42.81/13.37  						|-Branch one:
% 42.81/13.37  						| (378) all_0_86_86 = e0
% 42.81/13.37  						|
% 42.81/13.37  							| Equations (378) can reduce 82 to:
% 42.81/13.37  							| (86)  ~ (all_0_78_78 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 81 to:
% 42.81/13.37  							| (914)  ~ (all_0_82_82 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 80 to:
% 42.81/13.37  							| (2507)  ~ (all_0_88_88 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Simplifying 2507 yields:
% 42.81/13.37  							| (1110)  ~ (all_0_88_88 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 139 to:
% 42.81/13.37  							| (2710)  ~ (all_0_90_90 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Simplifying 2710 yields:
% 42.81/13.37  							| (762)  ~ (all_0_90_90 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 91 to:
% 42.81/13.37  							| (2712)  ~ (all_0_95_95 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Simplifying 2712 yields:
% 42.81/13.37  							| (893)  ~ (all_0_95_95 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 241 to:
% 42.81/13.37  							| (904)  ~ (e4 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Simplifying 904 yields:
% 42.81/13.37  							| (23)  ~ (e4 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Equations (378) can reduce 134 to:
% 42.81/13.37  							| (906)  ~ (e3 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| Simplifying 906 yields:
% 42.81/13.37  							| (50)  ~ (e3 = e0)
% 42.81/13.37  							|
% 42.81/13.37  							| From (378) and (110) follows:
% 42.81/13.37  							| (9556) op(e3, e0) = all_0_46_46
% 42.81/13.37  							|
% 42.81/13.37  							| From (378) and (167) follows:
% 42.81/13.37  							| (9557) op(e2, e0) = all_0_47_47
% 42.81/13.37  							|
% 42.81/13.37  							| From (378) and (245) follows:
% 42.81/13.37  							| (5343) op(e2, e3) = e0
% 42.81/13.37  							|
% 42.81/13.37  							+-Applying beta-rule and splitting (373), into two cases.
% 42.81/13.37  							|-Branch one:
% 42.81/13.37  							| (504) all_0_88_88 = e1
% 42.81/13.37  							|
% 42.81/13.37  								| Equations (504) can reduce 266 to:
% 42.81/13.37  								| (628)  ~ (all_0_81_81 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Equations (504) can reduce 78 to:
% 42.81/13.37  								| (128)  ~ (all_0_85_85 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Equations (504) can reduce 286 to:
% 42.81/13.37  								| (480)  ~ (all_0_93_93 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Simplifying 480 yields:
% 42.81/13.37  								| (481)  ~ (all_0_93_93 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Equations (504) can reduce 31 to:
% 42.81/13.37  								| (1803)  ~ (all_0_98_98 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Simplifying 1803 yields:
% 42.81/13.37  								| (1804)  ~ (all_0_98_98 = e1)
% 42.81/13.37  								|
% 42.81/13.37  								| Equations (504) can reduce 93 to:
% 42.81/13.37  								| (681)  ~ (e4 = e1)
% 42.81/13.37  								|
% 42.81/13.38  								| Simplifying 681 yields:
% 42.81/13.38  								| (256)  ~ (e4 = e1)
% 42.81/13.38  								|
% 42.81/13.38  								| Equations (504) can reduce 191 to:
% 42.81/13.38  								| (683)  ~ (e3 = e1)
% 42.81/13.38  								|
% 42.81/13.38  								| Simplifying 683 yields:
% 42.81/13.38  								| (20)  ~ (e3 = e1)
% 42.81/13.38  								|
% 42.81/13.38  								| Equations (504) can reduce 351 to:
% 42.81/13.38  								| (487)  ~ (e2 = e1)
% 42.81/13.38  								|
% 42.81/13.38  								| Simplifying 487 yields:
% 42.81/13.38  								| (243)  ~ (e2 = e1)
% 42.81/13.38  								|
% 42.81/13.38  								| Equations (504) can reduce 1110 to:
% 42.81/13.38  								| (264)  ~ (e1 = e0)
% 42.81/13.38  								|
% 42.81/13.38  								| From (504) and (161) follows:
% 42.81/13.38  								| (1947) op(e2, e1) = all_0_74_74
% 42.81/13.38  								|
% 42.81/13.38  								| From (504) and (230) follows:
% 42.81/13.38  								| (2305) op(e2, e0) = e1
% 42.81/13.38  								|
% 42.81/13.38  								| From (504) and (239) follows:
% 42.81/13.38  								| (2530) op(e0, e1) = all_0_73_73
% 42.81/13.38  								|
% 42.81/13.38  								| Instantiating formula (262) with e3, e0, all_0_46_46, all_0_85_85 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = all_0_85_85, yields:
% 42.81/13.38  								| (9576) all_0_46_46 = all_0_85_85
% 42.81/13.38  								|
% 42.81/13.38  								| Instantiating formula (262) with e2, e1, all_0_74_74, e2 and discharging atoms op(e2, e1) = all_0_74_74, op(e2, e1) = e2, yields:
% 42.81/13.38  								| (9577) all_0_74_74 = e2
% 42.81/13.38  								|
% 42.81/13.38  								| Instantiating formula (262) with e2, e0, e1, all_0_47_47 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e1, yields:
% 42.81/13.38  								| (9578) all_0_47_47 = e1
% 42.81/13.38  								|
% 42.81/13.38  								| Instantiating formula (262) with e0, e1, all_0_73_73, all_0_97_97 and discharging atoms op(e0, e1) = all_0_73_73, op(e0, e1) = all_0_97_97, yields:
% 42.81/13.38  								| (8321) all_0_73_73 = all_0_97_97
% 42.81/13.38  								|
% 42.81/13.38  								| From (9576) and (9556) follows:
% 42.81/13.38  								| (8) op(e3, e0) = all_0_85_85
% 42.81/13.38  								|
% 42.81/13.38  								| From (9577) and (1947) follows:
% 42.81/13.38  								| (9530) op(e2, e1) = e2
% 42.81/13.38  								|
% 42.81/13.38  								| From (9578) and (9557) follows:
% 42.81/13.38  								| (2305) op(e2, e0) = e1
% 42.81/13.38  								|
% 42.81/13.38  								| From (8321) and (2530) follows:
% 42.81/13.38  								| (147) op(e0, e1) = all_0_97_97
% 42.81/13.38  								|
% 42.81/13.38  								+-Applying beta-rule and splitting (143), into two cases.
% 42.81/13.38  								|-Branch one:
% 42.81/13.38  								| (390) all_0_79_79 = e2
% 42.81/13.38  								|
% 42.81/13.38  									| Combining equations (390,331) yields a new equation:
% 42.81/13.38  									| (391) all_0_39_39 = e2
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 66 to:
% 42.81/13.38  									| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 63 to:
% 42.81/13.38  									| (393)  ~ (all_0_80_80 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Simplifying 393 yields:
% 42.81/13.38  									| (394)  ~ (all_0_80_80 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 15 to:
% 42.81/13.38  									| (395)  ~ (all_0_81_81 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Simplifying 395 yields:
% 42.81/13.38  									| (396)  ~ (all_0_81_81 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 272 to:
% 42.81/13.38  									| (397)  ~ (all_0_83_83 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Simplifying 397 yields:
% 42.81/13.38  									| (398)  ~ (all_0_83_83 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 17 to:
% 42.81/13.38  									| (295)  ~ (all_0_91_91 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Simplifying 295 yields:
% 42.81/13.38  									| (296)  ~ (all_0_91_91 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Equations (390) can reduce 214 to:
% 42.81/13.38  									| (1637)  ~ (all_0_96_96 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									| Simplifying 1637 yields:
% 42.81/13.38  									| (1638)  ~ (all_0_96_96 = e2)
% 42.81/13.38  									|
% 42.81/13.38  									+-Applying beta-rule and splitting (70), into two cases.
% 42.81/13.38  									|-Branch one:
% 42.81/13.38  									| (400) all_0_78_78 = e2
% 42.81/13.38  									|
% 42.81/13.38  										| Equations (400) can reduce 346 to:
% 42.81/13.38  										| (311) $false
% 42.81/13.38  										|
% 42.81/13.38  										|-The branch is then unsatisfiable
% 42.81/13.38  									|-Branch two:
% 42.81/13.38  									| (346)  ~ (all_0_78_78 = e2)
% 42.81/13.38  									| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 42.81/13.38  									|
% 42.81/13.38  										+-Applying beta-rule and splitting (403), into two cases.
% 42.81/13.38  										|-Branch one:
% 42.81/13.38  										| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 42.81/13.38  										|
% 42.81/13.38  											+-Applying beta-rule and splitting (404), into two cases.
% 42.81/13.38  											|-Branch one:
% 42.81/13.38  											| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 42.81/13.38  											|
% 42.81/13.38  												| Applying alpha-rule on (405) yields:
% 42.81/13.38  												| (406) all_0_39_39 = e1
% 42.81/13.38  												| (407)  ~ (all_0_40_40 = e4)
% 42.81/13.38  												|
% 42.81/13.38  												| Combining equations (406,391) yields a new equation:
% 42.81/13.38  												| (385) e2 = e1
% 42.81/13.38  												|
% 42.81/13.38  												| Equations (385) can reduce 243 to:
% 42.81/13.38  												| (311) $false
% 42.81/13.38  												|
% 42.81/13.38  												|-The branch is then unsatisfiable
% 42.81/13.38  											|-Branch two:
% 42.81/13.38  											| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 42.81/13.38  											|
% 42.81/13.38  												| Applying alpha-rule on (411) yields:
% 42.81/13.38  												| (337) all_0_41_41 = e0
% 42.81/13.38  												| (413)  ~ (all_0_42_42 = e4)
% 42.81/13.38  												|
% 42.81/13.38  												| Equations (336) can reduce 413 to:
% 42.81/13.38  												| (311) $false
% 42.81/13.38  												|
% 42.81/13.38  												|-The branch is then unsatisfiable
% 42.81/13.38  										|-Branch two:
% 42.81/13.38  										| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 42.81/13.38  										|
% 42.81/13.38  											| Applying alpha-rule on (415) yields:
% 42.81/13.38  											| (416) all_0_80_80 = e3
% 42.81/13.38  											| (417)  ~ (all_0_84_84 = e4)
% 42.81/13.38  											|
% 43.08/13.38  											| Equations (416) can reduce 67 to:
% 43.08/13.38  											| (418)  ~ (all_0_78_78 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Equations (416) can reduce 144 to:
% 43.08/13.38  											| (419)  ~ (all_0_81_81 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Simplifying 419 yields:
% 43.08/13.38  											| (420)  ~ (all_0_81_81 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Equations (416) can reduce 273 to:
% 43.08/13.38  											| (421)  ~ (all_0_84_84 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Simplifying 421 yields:
% 43.08/13.38  											| (422)  ~ (all_0_84_84 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Equations (416) can reduce 49 to:
% 43.08/13.38  											| (425)  ~ (all_0_92_92 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Simplifying 425 yields:
% 43.08/13.38  											| (426)  ~ (all_0_92_92 = e3)
% 43.08/13.38  											|
% 43.08/13.38  											| Equations (416) can reduce 394 to:
% 43.08/13.38  											| (169)  ~ (e3 = e2)
% 43.08/13.38  											|
% 43.08/13.38  											+-Applying beta-rule and splitting (129), into two cases.
% 43.08/13.38  											|-Branch one:
% 43.08/13.38  											| (676) all_0_78_78 = e1
% 43.08/13.38  											|
% 43.08/13.38  												| Equations (676) can reduce 193 to:
% 43.08/13.38  												| (9623)  ~ (all_0_82_82 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Simplifying 9623 yields:
% 43.08/13.38  												| (198)  ~ (all_0_82_82 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Equations (676) can reduce 85 to:
% 43.08/13.38  												| (677)  ~ (all_0_90_90 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Simplifying 677 yields:
% 43.08/13.38  												| (678)  ~ (all_0_90_90 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Equations (676) can reduce 125 to:
% 43.08/13.38  												| (679)  ~ (all_0_95_95 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Simplifying 679 yields:
% 43.08/13.38  												| (680)  ~ (all_0_95_95 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Equations (676) can reduce 418 to:
% 43.08/13.38  												| (683)  ~ (e3 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												| Simplifying 683 yields:
% 43.08/13.38  												| (20)  ~ (e3 = e1)
% 43.08/13.38  												|
% 43.08/13.38  												+-Applying beta-rule and splitting (123), into two cases.
% 43.08/13.38  												|-Branch one:
% 43.08/13.38  												| (473) all_0_81_81 = e2
% 43.08/13.38  												|
% 43.08/13.38  													| Equations (473) can reduce 396 to:
% 43.08/13.38  													| (311) $false
% 43.08/13.38  													|
% 43.08/13.38  													|-The branch is then unsatisfiable
% 43.08/13.38  												|-Branch two:
% 43.08/13.38  												| (396)  ~ (all_0_81_81 = e2)
% 43.08/13.38  												| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.08/13.38  												|
% 43.08/13.38  													+-Applying beta-rule and splitting (56), into two cases.
% 43.08/13.38  													|-Branch one:
% 43.08/13.38  													| (463) all_0_78_78 = e4
% 43.08/13.38  													|
% 43.08/13.38  														| Combining equations (676,463) yields a new equation:
% 43.08/13.38  														| (814) e4 = e1
% 43.08/13.38  														|
% 43.08/13.38  														| Equations (814) can reduce 256 to:
% 43.08/13.38  														| (311) $false
% 43.08/13.38  														|
% 43.08/13.38  														|-The branch is then unsatisfiable
% 43.08/13.38  													|-Branch two:
% 43.08/13.38  													| (640)  ~ (all_0_78_78 = e4)
% 43.08/13.38  													| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.08/13.38  													|
% 43.08/13.38  														+-Applying beta-rule and splitting (210), into two cases.
% 43.08/13.38  														|-Branch one:
% 43.08/13.38  														| (433) all_0_80_80 = e4
% 43.08/13.38  														|
% 43.08/13.38  															| Combining equations (416,433) yields a new equation:
% 43.08/13.38  															| (434) e4 = e3
% 43.08/13.38  															|
% 43.08/13.38  															| Equations (434) can reduce 177 to:
% 43.08/13.38  															| (311) $false
% 43.08/13.38  															|
% 43.08/13.38  															|-The branch is then unsatisfiable
% 43.08/13.38  														|-Branch two:
% 43.08/13.38  														| (436)  ~ (all_0_80_80 = e4)
% 43.08/13.38  														| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.08/13.38  														|
% 43.08/13.38  															| Equations (416) can reduce 436 to:
% 43.08/13.38  															| (783)  ~ (e4 = e3)
% 43.08/13.38  															|
% 43.08/13.38  															| Simplifying 783 yields:
% 43.08/13.38  															| (177)  ~ (e4 = e3)
% 43.08/13.38  															|
% 43.08/13.38  															+-Applying beta-rule and splitting (641), into two cases.
% 43.08/13.38  															|-Branch one:
% 43.08/13.38  															| (433) all_0_80_80 = e4
% 43.08/13.38  															|
% 43.08/13.38  																| Combining equations (416,433) yields a new equation:
% 43.08/13.38  																| (434) e4 = e3
% 43.08/13.38  																|
% 43.08/13.38  																| Equations (434) can reduce 177 to:
% 43.08/13.38  																| (311) $false
% 43.08/13.38  																|
% 43.08/13.38  																|-The branch is then unsatisfiable
% 43.08/13.38  															|-Branch two:
% 43.08/13.38  															| (436)  ~ (all_0_80_80 = e4)
% 43.08/13.38  															| (638) all_0_81_81 = e4
% 43.08/13.38  															|
% 43.08/13.38  																| Equations (638) can reduce 118 to:
% 43.08/13.38  																| (647)  ~ (all_0_85_85 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Simplifying 647 yields:
% 43.08/13.38  																| (648)  ~ (all_0_85_85 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Equations (638) can reduce 277 to:
% 43.08/13.38  																| (495)  ~ (all_0_93_93 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Simplifying 495 yields:
% 43.08/13.38  																| (496)  ~ (all_0_93_93 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Equations (638) can reduce 5 to:
% 43.08/13.38  																| (320)  ~ (all_0_98_98 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Simplifying 320 yields:
% 43.08/13.38  																| (321)  ~ (all_0_98_98 = e4)
% 43.08/13.38  																|
% 43.08/13.38  																| Equations (638) can reduce 396 to:
% 43.08/13.38  																| (79)  ~ (e4 = e2)
% 43.08/13.38  																|
% 43.08/13.38  																| From (638) and (68) follows:
% 43.08/13.38  																| (657) op(e4, e4) = all_0_70_70
% 43.08/13.38  																|
% 43.08/13.38  																+-Applying beta-rule and splitting (109), into two cases.
% 43.08/13.38  																|-Branch one:
% 43.08/13.38  																| (469) all_0_82_82 = e4
% 43.08/13.38  																|
% 43.08/13.38  																	| Equations (469) can reduce 209 to:
% 43.08/13.38  																	| (647)  ~ (all_0_85_85 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Simplifying 647 yields:
% 43.08/13.38  																	| (648)  ~ (all_0_85_85 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Equations (469) can reduce 255 to:
% 43.08/13.38  																	| (466)  ~ (all_0_90_90 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Simplifying 466 yields:
% 43.08/13.38  																	| (467)  ~ (all_0_90_90 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Equations (469) can reduce 200 to:
% 43.08/13.38  																	| (314)  ~ (all_0_95_95 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Simplifying 314 yields:
% 43.08/13.38  																	| (315)  ~ (all_0_95_95 = e4)
% 43.08/13.38  																	|
% 43.08/13.38  																	| Equations (469) can reduce 198 to:
% 43.08/13.38  																	| (256)  ~ (e4 = e1)
% 43.08/13.38  																	|
% 43.08/13.38  																	+-Applying beta-rule and splitting (41), into two cases.
% 43.08/13.38  																	|-Branch one:
% 43.08/13.38  																	| (530) all_0_82_82 = e2
% 43.08/13.38  																	|
% 43.08/13.38  																		| Combining equations (530,469) yields a new equation:
% 43.08/13.38  																		| (310) e4 = e2
% 43.08/13.38  																		|
% 43.08/13.38  																		| Equations (310) can reduce 79 to:
% 43.08/13.38  																		| (311) $false
% 43.08/13.38  																		|
% 43.08/13.38  																		|-The branch is then unsatisfiable
% 43.08/13.38  																	|-Branch two:
% 43.08/13.38  																	| (347)  ~ (all_0_82_82 = e2)
% 43.08/13.38  																	| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 43.08/13.38  																	|
% 43.08/13.38  																		+-Applying beta-rule and splitting (533), into two cases.
% 43.08/13.38  																		|-Branch one:
% 43.08/13.38  																		| (453) all_0_83_83 = e2
% 43.08/13.38  																		|
% 43.08/13.38  																			| Equations (453) can reduce 398 to:
% 43.08/13.38  																			| (311) $false
% 43.08/13.38  																			|
% 43.08/13.38  																			|-The branch is then unsatisfiable
% 43.08/13.38  																		|-Branch two:
% 43.08/13.38  																		| (398)  ~ (all_0_83_83 = e2)
% 43.08/13.38  																		| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 43.08/13.38  																		|
% 43.08/13.38  																			+-Applying beta-rule and splitting (537), into two cases.
% 43.08/13.38  																			|-Branch one:
% 43.08/13.38  																			| (552) all_0_84_84 = e2
% 43.08/13.38  																			|
% 43.08/13.38  																				| Equations (552) can reduce 612 to:
% 43.08/13.38  																				| (311) $false
% 43.08/13.38  																				|
% 43.08/13.38  																				|-The branch is then unsatisfiable
% 43.08/13.38  																			|-Branch two:
% 43.08/13.38  																			| (612)  ~ (all_0_84_84 = e2)
% 43.08/13.38  																			| (512) all_0_85_85 = e2
% 43.08/13.38  																			|
% 43.08/13.38  																				| Equations (512) can reduce 226 to:
% 43.08/13.38  																				| (398)  ~ (all_0_83_83 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Equations (512) can reduce 154 to:
% 43.08/13.38  																				| (612)  ~ (all_0_84_84 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Equations (512) can reduce 201 to:
% 43.08/13.38  																				| (299)  ~ (all_0_93_93 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Simplifying 299 yields:
% 43.08/13.38  																				| (300)  ~ (all_0_93_93 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Equations (512) can reduce 75 to:
% 43.08/13.38  																				| (1348)  ~ (all_0_98_98 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Simplifying 1348 yields:
% 43.08/13.38  																				| (1349)  ~ (all_0_98_98 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Equations (512) can reduce 648 to:
% 43.08/13.38  																				| (528)  ~ (e4 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| Simplifying 528 yields:
% 43.08/13.38  																				| (79)  ~ (e4 = e2)
% 43.08/13.38  																				|
% 43.08/13.38  																				| From (512) and (26) follows:
% 43.08/13.38  																				| (1290) op(e0, e2) = all_0_71_71
% 43.08/13.38  																				|
% 43.08/13.38  																				+-Applying beta-rule and splitting (97), into two cases.
% 43.08/13.38  																				|-Branch one:
% 43.08/13.38  																				| (1757) all_0_94_94 = e2
% 43.08/13.38  																				|
% 43.08/13.38  																					| Combining equations (313,1757) yields a new equation:
% 43.08/13.38  																					| (309) e4 = e2
% 43.08/13.38  																					|
% 43.08/13.38  																					| Simplifying 309 yields:
% 43.08/13.38  																					| (310) e4 = e2
% 43.08/13.38  																					|
% 43.08/13.38  																					| Equations (310) can reduce 79 to:
% 43.08/13.38  																					| (311) $false
% 43.08/13.38  																					|
% 43.08/13.38  																					|-The branch is then unsatisfiable
% 43.08/13.38  																				|-Branch two:
% 43.08/13.38  																				| (1761)  ~ (all_0_94_94 = e2)
% 43.08/13.38  																				| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.08/13.38  																				|
% 43.08/13.38  																					+-Applying beta-rule and splitting (1762), into two cases.
% 43.08/13.38  																					|-Branch one:
% 43.08/13.38  																					| (767) all_0_95_95 = e2
% 43.08/13.38  																					|
% 43.08/13.38  																						| Equations (767) can reduce 229 to:
% 43.08/13.38  																						| (294)  ~ (all_0_90_90 = e2)
% 43.08/13.38  																						|
% 43.08/13.38  																						| Equations (767) can reduce 107 to:
% 43.08/13.38  																						| (1348)  ~ (all_0_98_98 = e2)
% 43.08/13.38  																						|
% 43.08/13.38  																						| Simplifying 1348 yields:
% 43.08/13.38  																						| (1349)  ~ (all_0_98_98 = e2)
% 43.08/13.38  																						|
% 43.08/13.38  																						| Equations (767) can reduce 315 to:
% 43.08/13.38  																						| (528)  ~ (e4 = e2)
% 43.08/13.38  																						|
% 43.08/13.38  																						| Simplifying 528 yields:
% 43.08/13.38  																						| (79)  ~ (e4 = e2)
% 43.08/13.38  																						|
% 43.08/13.38  																						| Equations (767) can reduce 680 to:
% 43.08/13.38  																						| (243)  ~ (e2 = e1)
% 43.08/13.38  																						|
% 43.08/13.38  																						| From (767) and (280) follows:
% 43.08/13.38  																						| (9703) op(e0, e2) = all_0_51_51
% 43.08/13.38  																						|
% 43.08/13.38  																						+-Applying beta-rule and splitting (46), into two cases.
% 43.08/13.38  																						|-Branch one:
% 43.08/13.38  																						| (308) all_0_89_89 = e4
% 43.08/13.38  																						|
% 43.08/13.38  																							| Combining equations (308,292) yields a new equation:
% 43.08/13.38  																							| (309) e4 = e2
% 43.08/13.38  																							|
% 43.08/13.38  																							| Simplifying 309 yields:
% 43.08/13.38  																							| (310) e4 = e2
% 43.08/13.38  																							|
% 43.08/13.38  																							| Equations (310) can reduce 79 to:
% 43.08/13.38  																							| (311) $false
% 43.08/13.38  																							|
% 43.08/13.38  																							|-The branch is then unsatisfiable
% 43.08/13.38  																						|-Branch two:
% 43.08/13.38  																						| (312)  ~ (all_0_89_89 = e4)
% 43.08/13.38  																						| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.08/13.38  																						|
% 43.08/13.38  																							+-Applying beta-rule and splitting (1915), into two cases.
% 43.08/13.38  																							|-Branch one:
% 43.08/13.38  																							| (583) all_0_90_90 = e4
% 43.08/13.38  																							|
% 43.08/13.38  																								| Equations (583) can reduce 467 to:
% 43.08/13.38  																								| (311) $false
% 43.08/13.38  																								|
% 43.08/13.38  																								|-The branch is then unsatisfiable
% 43.08/13.38  																							|-Branch two:
% 43.08/13.38  																							| (467)  ~ (all_0_90_90 = e4)
% 43.08/13.38  																							| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.08/13.38  																							|
% 43.08/13.38  																								+-Applying beta-rule and splitting (1928), into two cases.
% 43.08/13.38  																								|-Branch one:
% 43.08/13.38  																								| (442) all_0_92_92 = e4
% 43.08/13.38  																								|
% 43.08/13.38  																									| Equations (442) can reduce 87 to:
% 43.08/13.38  																									| (417)  ~ (all_0_84_84 = e4)
% 43.08/13.38  																									|
% 43.08/13.38  																									| Equations (442) can reduce 283 to:
% 43.08/13.38  																									| (495)  ~ (all_0_93_93 = e4)
% 43.08/13.38  																									|
% 43.08/13.38  																									| Simplifying 495 yields:
% 43.08/13.38  																									| (496)  ~ (all_0_93_93 = e4)
% 43.08/13.38  																									|
% 43.08/13.38  																									| Equations (442) can reduce 258 to:
% 43.08/13.38  																									| (318)  ~ (all_0_97_97 = e4)
% 43.08/13.38  																									|
% 43.08/13.38  																									| Simplifying 318 yields:
% 43.08/13.38  																									| (319)  ~ (all_0_97_97 = e4)
% 43.08/13.38  																									|
% 43.08/13.38  																									| Equations (442) can reduce 426 to:
% 43.08/13.38  																									| (177)  ~ (e4 = e3)
% 43.08/13.38  																									|
% 43.08/13.38  																									+-Applying beta-rule and splitting (27), into two cases.
% 43.08/13.38  																									|-Branch one:
% 43.08/13.38  																									| (746) all_0_90_90 = e2
% 43.08/13.38  																									|
% 43.08/13.38  																										| Equations (746) can reduce 294 to:
% 43.08/13.38  																										| (311) $false
% 43.08/13.38  																										|
% 43.08/13.38  																										|-The branch is then unsatisfiable
% 43.08/13.38  																									|-Branch two:
% 43.08/13.38  																									| (294)  ~ (all_0_90_90 = e2)
% 43.08/13.38  																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.08/13.38  																									|
% 43.08/13.38  																										+-Applying beta-rule and splitting (749), into two cases.
% 43.08/13.38  																										|-Branch one:
% 43.08/13.38  																										| (750) all_0_90_90 = e1
% 43.08/13.38  																										|
% 43.08/13.38  																											| Equations (750) can reduce 678 to:
% 43.08/13.38  																											| (311) $false
% 43.08/13.38  																											|
% 43.08/13.38  																											|-The branch is then unsatisfiable
% 43.08/13.38  																										|-Branch two:
% 43.08/13.39  																										| (678)  ~ (all_0_90_90 = e1)
% 43.08/13.39  																										| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 43.08/13.39  																										|
% 43.08/13.39  																											+-Applying beta-rule and splitting (151), into two cases.
% 43.08/13.39  																											|-Branch one:
% 43.08/13.39  																											| (824) all_0_80_80 = e1
% 43.08/13.39  																											|
% 43.08/13.39  																												| Combining equations (416,824) yields a new equation:
% 43.08/13.39  																												| (825) e3 = e1
% 43.08/13.39  																												|
% 43.08/13.39  																												| Simplifying 825 yields:
% 43.08/13.39  																												| (772) e3 = e1
% 43.08/13.39  																												|
% 43.08/13.39  																												| Equations (772) can reduce 20 to:
% 43.08/13.39  																												| (311) $false
% 43.08/13.39  																												|
% 43.08/13.39  																												|-The branch is then unsatisfiable
% 43.08/13.39  																											|-Branch two:
% 43.08/13.39  																											| (828)  ~ (all_0_80_80 = e1)
% 43.08/13.39  																											| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.08/13.39  																											|
% 43.08/13.39  																												+-Applying beta-rule and splitting (829), into two cases.
% 43.08/13.39  																												|-Branch one:
% 43.08/13.39  																												| (482) all_0_87_87 = e1
% 43.08/13.39  																												|
% 43.08/13.39  																													| Combining equations (482,374) yields a new equation:
% 43.08/13.39  																													| (385) e2 = e1
% 43.08/13.39  																													|
% 43.08/13.39  																													| Equations (385) can reduce 243 to:
% 43.08/13.39  																													| (311) $false
% 43.08/13.39  																													|
% 43.08/13.39  																													|-The branch is then unsatisfiable
% 43.08/13.39  																												|-Branch two:
% 43.08/13.39  																												| (625)  ~ (all_0_87_87 = e1)
% 43.08/13.39  																												| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.08/13.39  																												|
% 43.08/13.39  																													+-Applying beta-rule and splitting (835), into two cases.
% 43.08/13.39  																													|-Branch one:
% 43.08/13.39  																													| (836) all_0_92_92 = e1
% 43.08/13.39  																													|
% 43.08/13.39  																														| Combining equations (836,442) yields a new equation:
% 43.08/13.39  																														| (814) e4 = e1
% 43.08/13.39  																														|
% 43.08/13.39  																														| Equations (814) can reduce 256 to:
% 43.08/13.39  																														| (311) $false
% 43.08/13.39  																														|
% 43.08/13.39  																														|-The branch is then unsatisfiable
% 43.08/13.39  																													|-Branch two:
% 43.08/13.39  																													| (840)  ~ (all_0_92_92 = e1)
% 43.08/13.39  																													| (542) all_0_97_97 = e1
% 43.08/13.39  																													|
% 43.08/13.39  																														| Combining equations (542,8321) yields a new equation:
% 43.08/13.39  																														| (2602) all_0_73_73 = e1
% 43.08/13.39  																														|
% 43.08/13.39  																														| Equations (542) can reduce 319 to:
% 43.08/13.39  																														| (681)  ~ (e4 = e1)
% 43.08/13.39  																														|
% 43.08/13.39  																														| Simplifying 681 yields:
% 43.08/13.39  																														| (256)  ~ (e4 = e1)
% 43.08/13.39  																														|
% 43.08/13.39  																														+-Applying beta-rule and splitting (92), into two cases.
% 43.08/13.39  																														|-Branch one:
% 43.08/13.39  																														| (552) all_0_84_84 = e2
% 43.08/13.39  																														|
% 43.08/13.39  																															| Equations (552) can reduce 612 to:
% 43.08/13.39  																															| (311) $false
% 43.08/13.39  																															|
% 43.08/13.39  																															|-The branch is then unsatisfiable
% 43.08/13.39  																														|-Branch two:
% 43.08/13.39  																														| (612)  ~ (all_0_84_84 = e2)
% 43.08/13.39  																														| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.08/13.39  																														|
% 43.08/13.39  																															+-Applying beta-rule and splitting (617), into two cases.
% 43.08/13.39  																															|-Branch one:
% 43.08/13.39  																															| (1265) all_0_84_84 = e3
% 43.08/13.39  																															|
% 43.08/13.39  																																| Equations (1265) can reduce 422 to:
% 43.08/13.39  																																| (311) $false
% 43.08/13.39  																																|
% 43.08/13.39  																																|-The branch is then unsatisfiable
% 43.08/13.39  																															|-Branch two:
% 43.08/13.39  																															| (422)  ~ (all_0_84_84 = e3)
% 43.08/13.39  																															| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.08/13.39  																															|
% 43.08/13.39  																																+-Applying beta-rule and splitting (1268), into two cases.
% 43.08/13.39  																																|-Branch one:
% 43.08/13.39  																																| (916) all_0_84_84 = e0
% 43.08/13.39  																																|
% 43.08/13.39  																																	| Equations (916) can reduce 422 to:
% 43.08/13.39  																																	| (906)  ~ (e3 = e0)
% 43.08/13.39  																																	|
% 43.08/13.39  																																	| Simplifying 906 yields:
% 43.08/13.39  																																	| (50)  ~ (e3 = e0)
% 43.08/13.39  																																	|
% 43.08/13.39  																																	+-Applying beta-rule and splitting (52), into two cases.
% 43.08/13.39  																																	|-Branch one:
% 43.08/13.39  																																	| (453) all_0_83_83 = e2
% 43.08/13.39  																																	|
% 43.08/13.39  																																		| Equations (453) can reduce 398 to:
% 43.08/13.39  																																		| (311) $false
% 43.08/13.39  																																		|
% 43.08/13.39  																																		|-The branch is then unsatisfiable
% 43.08/13.39  																																	|-Branch two:
% 43.08/13.39  																																	| (398)  ~ (all_0_83_83 = e2)
% 43.08/13.39  																																	| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 43.08/13.39  																																	|
% 43.08/13.39  																																		+-Applying beta-rule and splitting (171), into two cases.
% 43.08/13.39  																																		|-Branch one:
% 43.08/13.39  																																		| (789) all_0_82_82 = e3
% 43.08/13.39  																																		|
% 43.08/13.39  																																			| Combining equations (469,789) yields a new equation:
% 43.08/13.39  																																			| (790) e4 = e3
% 43.08/13.39  																																			|
% 43.08/13.39  																																			| Simplifying 790 yields:
% 43.08/13.39  																																			| (434) e4 = e3
% 43.08/13.39  																																			|
% 43.08/13.39  																																			| Equations (434) can reduce 177 to:
% 43.08/13.39  																																			| (311) $false
% 43.08/13.39  																																			|
% 43.08/13.39  																																			|-The branch is then unsatisfiable
% 43.08/13.39  																																		|-Branch two:
% 43.08/13.39  																																		| (793)  ~ (all_0_82_82 = e3)
% 43.08/13.39  																																		| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.08/13.39  																																		|
% 43.08/13.39  																																			+-Applying beta-rule and splitting (1296), into two cases.
% 43.08/13.39  																																			|-Branch one:
% 43.08/13.39  																																			| (795) all_0_83_83 = e3
% 43.08/13.39  																																			|
% 43.08/13.39  																																				| Equations (795) can reduce 146 to:
% 43.08/13.39  																																				| (1298)  ~ (all_0_91_91 = e3)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				| Simplifying 1298 yields:
% 43.08/13.39  																																				| (571)  ~ (all_0_91_91 = e3)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				| Equations (795) can reduce 211 to:
% 43.08/13.39  																																				| (1300)  ~ (all_0_96_96 = e3)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				| Simplifying 1300 yields:
% 43.08/13.39  																																				| (964)  ~ (all_0_96_96 = e3)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				| Equations (795) can reduce 398 to:
% 43.08/13.39  																																				| (169)  ~ (e3 = e2)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				| Equations (795) can reduce 113 to:
% 43.08/13.39  																																				| (20)  ~ (e3 = e1)
% 43.08/13.39  																																				|
% 43.08/13.39  																																				+-Applying beta-rule and splitting (270), into two cases.
% 43.08/13.39  																																				|-Branch one:
% 43.08/13.39  																																				| (744) all_0_95_95 = e3
% 43.08/13.39  																																				|
% 43.08/13.39  																																					| Combining equations (767,744) yields a new equation:
% 43.08/13.39  																																					| (548) e3 = e2
% 43.08/13.39  																																					|
% 43.08/13.39  																																					| Equations (548) can reduce 169 to:
% 43.08/13.39  																																					| (311) $false
% 43.08/13.39  																																					|
% 43.08/13.39  																																					|-The branch is then unsatisfiable
% 43.08/13.39  																																				|-Branch two:
% 43.08/13.39  																																				| (765)  ~ (all_0_95_95 = e3)
% 43.08/13.39  																																				| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.08/13.39  																																				|
% 43.08/13.39  																																					+-Applying beta-rule and splitting (766), into two cases.
% 43.08/13.39  																																					|-Branch one:
% 43.08/13.39  																																					| (778) all_0_96_96 = e3
% 43.08/13.39  																																					|
% 43.08/13.39  																																						| Equations (778) can reduce 964 to:
% 43.08/13.39  																																						| (311) $false
% 43.08/13.39  																																						|
% 43.08/13.39  																																						|-The branch is then unsatisfiable
% 43.08/13.39  																																					|-Branch two:
% 43.08/13.39  																																					| (964)  ~ (all_0_96_96 = e3)
% 43.08/13.39  																																					| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.08/13.39  																																					|
% 43.08/13.39  																																						+-Applying beta-rule and splitting (965), into two cases.
% 43.08/13.39  																																						|-Branch one:
% 43.08/13.39  																																						| (556) all_0_97_97 = e3
% 43.08/13.39  																																						|
% 43.08/13.39  																																							| Combining equations (542,556) yields a new equation:
% 43.08/13.39  																																							| (772) e3 = e1
% 43.08/13.39  																																							|
% 43.08/13.39  																																							| Equations (772) can reduce 20 to:
% 43.08/13.39  																																							| (311) $false
% 43.08/13.39  																																							|
% 43.08/13.39  																																							|-The branch is then unsatisfiable
% 43.08/13.39  																																						|-Branch two:
% 43.08/13.39  																																						| (428)  ~ (all_0_97_97 = e3)
% 43.08/13.39  																																						| (969) all_0_98_98 = e3
% 43.08/13.39  																																						|
% 43.08/13.39  																																							| Equations (969) can reduce 13 to:
% 43.08/13.39  																																							| (602)  ~ (all_0_93_93 = e3)
% 43.08/13.39  																																							|
% 43.08/13.39  																																							| Equations (969) can reduce 321 to:
% 43.08/13.39  																																							| (783)  ~ (e4 = e3)
% 43.08/13.39  																																							|
% 43.08/13.39  																																							| Simplifying 783 yields:
% 43.08/13.39  																																							| (177)  ~ (e4 = e3)
% 43.08/13.39  																																							|
% 43.08/13.39  																																							| Equations (969) can reduce 1349 to:
% 43.08/13.39  																																							| (169)  ~ (e3 = e2)
% 43.08/13.39  																																							|
% 43.08/13.39  																																							| From (969) and (38) follows:
% 43.08/13.39  																																							| (9794) op(e0, e0) = e3
% 43.08/13.39  																																							|
% 43.08/13.39  																																							+-Applying beta-rule and splitting (132), into two cases.
% 43.08/13.39  																																							|-Branch one:
% 43.08/13.39  																																							| (750) all_0_90_90 = e1
% 43.08/13.39  																																							|
% 43.08/13.39  																																								| Equations (750) can reduce 678 to:
% 43.08/13.39  																																								| (311) $false
% 43.08/13.39  																																								|
% 43.08/13.39  																																								|-The branch is then unsatisfiable
% 43.08/13.39  																																							|-Branch two:
% 43.08/13.39  																																							| (678)  ~ (all_0_90_90 = e1)
% 43.08/13.39  																																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.08/13.39  																																							|
% 43.08/13.39  																																								+-Applying beta-rule and splitting (65), into two cases.
% 43.08/13.39  																																								|-Branch one:
% 43.08/13.39  																																								| (522) all_0_93_93 = e2
% 43.08/13.39  																																								|
% 43.08/13.39  																																									| Equations (522) can reduce 300 to:
% 43.08/13.39  																																									| (311) $false
% 43.08/13.39  																																									|
% 43.08/13.39  																																									|-The branch is then unsatisfiable
% 43.08/13.39  																																								|-Branch two:
% 43.08/13.39  																																								| (300)  ~ (all_0_93_93 = e2)
% 43.08/13.39  																																								| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 43.08/13.39  																																								|
% 43.08/13.39  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 43.08/13.39  																																									|-Branch one:
% 43.08/13.39  																																									| (801) all_0_91_91 = e1
% 43.08/13.39  																																									|
% 43.08/13.39  																																										| Equations (801) can reduce 103 to:
% 43.08/13.39  																																										| (678)  ~ (all_0_90_90 = e1)
% 43.08/13.39  																																										|
% 43.08/13.39  																																										| Equations (801) can reduce 44 to:
% 43.08/13.39  																																										| (480)  ~ (all_0_93_93 = e1)
% 43.08/13.39  																																										|
% 43.08/13.39  																																										| Simplifying 480 yields:
% 43.08/13.39  																																										| (481)  ~ (all_0_93_93 = e1)
% 43.08/13.39  																																										|
% 43.08/13.39  																																										| Equations (801) can reduce 571 to:
% 43.08/13.39  																																										| (683)  ~ (e3 = e1)
% 43.08/13.39  																																										|
% 43.11/13.39  																																										| Simplifying 683 yields:
% 43.11/13.39  																																										| (20)  ~ (e3 = e1)
% 43.11/13.39  																																										|
% 43.11/13.39  																																										| Equations (801) can reduce 296 to:
% 43.11/13.39  																																										| (487)  ~ (e2 = e1)
% 43.11/13.39  																																										|
% 43.11/13.39  																																										| Simplifying 487 yields:
% 43.11/13.39  																																										| (243)  ~ (e2 = e1)
% 43.11/13.39  																																										|
% 43.11/13.39  																																										+-Applying beta-rule and splitting (565), into two cases.
% 43.11/13.39  																																										|-Branch one:
% 43.11/13.39  																																										| (566) all_0_93_93 = e1
% 43.11/13.39  																																										|
% 43.11/13.39  																																											| Equations (566) can reduce 481 to:
% 43.11/13.39  																																											| (311) $false
% 43.11/13.39  																																											|
% 43.11/13.39  																																											|-The branch is then unsatisfiable
% 43.11/13.39  																																										|-Branch two:
% 43.11/13.39  																																										| (481)  ~ (all_0_93_93 = e1)
% 43.11/13.39  																																										| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 43.11/13.39  																																										|
% 43.11/13.39  																																											+-Applying beta-rule and splitting (569), into two cases.
% 43.11/13.39  																																											|-Branch one:
% 43.11/13.39  																																											| (570) all_0_93_93 = e3
% 43.11/13.39  																																											|
% 43.11/13.39  																																												| Equations (570) can reduce 602 to:
% 43.11/13.39  																																												| (311) $false
% 43.11/13.39  																																												|
% 43.11/13.39  																																												|-The branch is then unsatisfiable
% 43.11/13.39  																																											|-Branch two:
% 43.11/13.39  																																											| (602)  ~ (all_0_93_93 = e3)
% 43.11/13.39  																																											| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 43.11/13.39  																																											|
% 43.11/13.39  																																												+-Applying beta-rule and splitting (603), into two cases.
% 43.11/13.39  																																												|-Branch one:
% 43.11/13.39  																																												| (604) all_0_93_93 = e0
% 43.11/13.39  																																												|
% 43.11/13.39  																																													| Equations (604) can reduce 34 to:
% 43.11/13.39  																																													| (762)  ~ (all_0_90_90 = e0)
% 43.11/13.39  																																													|
% 43.11/13.39  																																													| Equations (604) can reduce 602 to:
% 43.11/13.39  																																													| (906)  ~ (e3 = e0)
% 43.11/13.39  																																													|
% 43.11/13.39  																																													| Simplifying 906 yields:
% 43.11/13.39  																																													| (50)  ~ (e3 = e0)
% 43.11/13.39  																																													|
% 43.11/13.39  																																													| Equations (604) can reduce 481 to:
% 43.11/13.39  																																													| (859)  ~ (e1 = e0)
% 43.11/13.39  																																													|
% 43.11/13.39  																																													| Simplifying 859 yields:
% 43.11/13.39  																																													| (264)  ~ (e1 = e0)
% 43.11/13.39  																																													|
% 43.11/13.39  																																													| From (604) and (173) follows:
% 43.11/13.39  																																													| (9825) op(e0, e0) = all_0_75_75
% 43.11/13.39  																																													|
% 43.11/13.39  																																													+-Applying beta-rule and splitting (219), into two cases.
% 43.11/13.39  																																													|-Branch one:
% 43.11/13.39  																																													| (798) all_0_83_83 = e0
% 43.11/13.39  																																													|
% 43.11/13.39  																																														| Combining equations (795,798) yields a new equation:
% 43.11/13.39  																																														| (599) e3 = e0
% 43.11/13.39  																																														|
% 43.11/13.39  																																														| Simplifying 599 yields:
% 43.11/13.39  																																														| (600) e3 = e0
% 43.11/13.39  																																														|
% 43.11/13.39  																																														| Equations (600) can reduce 50 to:
% 43.11/13.39  																																														| (311) $false
% 43.11/13.39  																																														|
% 43.11/13.39  																																														|-The branch is then unsatisfiable
% 43.11/13.39  																																													|-Branch two:
% 43.11/13.39  																																													| (1314)  ~ (all_0_83_83 = e0)
% 43.11/13.39  																																													| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.11/13.39  																																													|
% 43.11/13.39  																																														+-Applying beta-rule and splitting (220), into two cases.
% 43.11/13.39  																																														|-Branch one:
% 43.11/13.39  																																														| (771) all_0_78_78 = e3
% 43.11/13.39  																																														|
% 43.11/13.39  																																															| Combining equations (771,676) yields a new equation:
% 43.11/13.39  																																															| (825) e3 = e1
% 43.11/13.39  																																															|
% 43.11/13.39  																																															| Simplifying 825 yields:
% 43.11/13.39  																																															| (772) e3 = e1
% 43.11/13.39  																																															|
% 43.11/13.39  																																															| Equations (772) can reduce 20 to:
% 43.11/13.39  																																															| (311) $false
% 43.11/13.39  																																															|
% 43.11/13.39  																																															|-The branch is then unsatisfiable
% 43.11/13.39  																																														|-Branch two:
% 43.11/13.39  																																														| (418)  ~ (all_0_78_78 = e3)
% 43.11/13.39  																																														| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.11/13.39  																																														|
% 43.11/13.39  																																															+-Applying beta-rule and splitting (1400), into two cases.
% 43.11/13.39  																																															|-Branch one:
% 43.11/13.39  																																															| (1456) all_0_91_91 = e0
% 43.11/13.39  																																															|
% 43.11/13.39  																																																| Combining equations (1456,801) yields a new equation:
% 43.11/13.39  																																																| (865) e1 = e0
% 43.11/13.39  																																																|
% 43.11/13.39  																																																| Equations (865) can reduce 264 to:
% 43.11/13.39  																																																| (311) $false
% 43.11/13.39  																																																|
% 43.11/13.39  																																																|-The branch is then unsatisfiable
% 43.11/13.39  																																															|-Branch two:
% 43.11/13.39  																																															| (1487)  ~ (all_0_91_91 = e0)
% 43.11/13.39  																																															| (1837) all_0_96_96 = e0
% 43.11/13.39  																																															|
% 43.11/13.39  																																																| From (1837) and (268) follows:
% 43.11/13.39  																																																| (5798) op(e0, e0) = all_0_59_59
% 43.11/13.39  																																																|
% 43.11/13.39  																																																| From (1837) and (59) follows:
% 43.11/13.39  																																																| (4729) op(e0, e2) = e0
% 43.11/13.39  																																																|
% 43.11/13.39  																																																+-Applying beta-rule and splitting (775), into two cases.
% 43.11/13.39  																																																|-Branch one:
% 43.11/13.39  																																																| (789) all_0_82_82 = e3
% 43.11/13.39  																																																|
% 43.11/13.39  																																																	| Combining equations (469,789) yields a new equation:
% 43.11/13.39  																																																	| (790) e4 = e3
% 43.11/13.39  																																																	|
% 43.11/13.39  																																																	| Simplifying 790 yields:
% 43.11/13.39  																																																	| (434) e4 = e3
% 43.11/13.39  																																																	|
% 43.11/13.39  																																																	| Equations (434) can reduce 177 to:
% 43.11/13.39  																																																	| (311) $false
% 43.11/13.39  																																																	|
% 43.11/13.39  																																																	|-The branch is then unsatisfiable
% 43.11/13.39  																																																|-Branch two:
% 43.11/13.39  																																																| (793)  ~ (all_0_82_82 = e3)
% 43.11/13.39  																																																| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.11/13.39  																																																|
% 43.11/13.39  																																																	+-Applying beta-rule and splitting (794), into two cases.
% 43.11/13.39  																																																	|-Branch one:
% 43.11/13.39  																																																	| (754) all_0_90_90 = e3
% 43.11/13.39  																																																	|
% 43.11/13.39  																																																		| Equations (754) can reduce 678 to:
% 43.11/13.39  																																																		| (20)  ~ (e3 = e1)
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Equations (754) can reduce 762 to:
% 43.11/13.39  																																																		| (50)  ~ (e3 = e0)
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 43.11/13.39  																																																		| (686) all_0_70_70 = e0
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Instantiating formula (262) with e0, e2, all_0_71_71, all_0_51_51 and discharging atoms op(e0, e2) = all_0_51_51, op(e0, e2) = all_0_71_71, yields:
% 43.11/13.39  																																																		| (9855) all_0_51_51 = all_0_71_71
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Instantiating formula (262) with e0, e2, e0, all_0_51_51 and discharging atoms op(e0, e2) = all_0_51_51, op(e0, e2) = e0, yields:
% 43.11/13.39  																																																		| (9856) all_0_51_51 = e0
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Instantiating formula (262) with e0, e0, all_0_75_75, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = all_0_75_75, yields:
% 43.11/13.39  																																																		| (9857) all_0_59_59 = all_0_75_75
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Instantiating formula (262) with e0, e0, e3, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e3, yields:
% 43.11/13.39  																																																		| (9858) all_0_59_59 = e3
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Combining equations (9855,9856) yields a new equation:
% 43.11/13.39  																																																		| (9859) all_0_71_71 = e0
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Simplifying 9859 yields:
% 43.11/13.39  																																																		| (9860) all_0_71_71 = e0
% 43.11/13.39  																																																		|
% 43.11/13.39  																																																		| Combining equations (9857,9858) yields a new equation:
% 43.11/13.40  																																																		| (9861) all_0_75_75 = e3
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																		| Simplifying 9861 yields:
% 43.11/13.40  																																																		| (9862) all_0_75_75 = e3
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																		+-Applying beta-rule and splitting (89), into two cases.
% 43.11/13.40  																																																		|-Branch one:
% 43.11/13.40  																																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																			+-Applying beta-rule and splitting (1373), into two cases.
% 43.11/13.40  																																																			|-Branch one:
% 43.11/13.40  																																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																				+-Applying beta-rule and splitting (1374), into two cases.
% 43.11/13.40  																																																				|-Branch one:
% 43.11/13.40  																																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.11/13.40  																																																				|
% 43.11/13.40  																																																					| Applying alpha-rule on (1375) yields:
% 43.11/13.40  																																																					| (1376) all_0_69_69 = e4
% 43.11/13.40  																																																					| (1377)  ~ (all_0_70_70 = e0)
% 43.11/13.40  																																																					|
% 43.11/13.40  																																																					| Equations (686) can reduce 1377 to:
% 43.11/13.40  																																																					| (311) $false
% 43.11/13.40  																																																					|
% 43.11/13.40  																																																					|-The branch is then unsatisfiable
% 43.11/13.40  																																																				|-Branch two:
% 43.11/13.40  																																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.11/13.40  																																																				|
% 43.11/13.40  																																																					| Applying alpha-rule on (1379) yields:
% 43.11/13.40  																																																					| (1380) all_0_71_71 = e3
% 43.11/13.40  																																																					| (1381)  ~ (all_0_72_72 = e0)
% 43.11/13.40  																																																					|
% 43.11/13.40  																																																					| Combining equations (9860,1380) yields a new equation:
% 43.11/13.40  																																																					| (600) e3 = e0
% 43.11/13.40  																																																					|
% 43.11/13.40  																																																					| Equations (600) can reduce 50 to:
% 43.11/13.40  																																																					| (311) $false
% 43.11/13.40  																																																					|
% 43.11/13.40  																																																					|-The branch is then unsatisfiable
% 43.11/13.40  																																																			|-Branch two:
% 43.11/13.40  																																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																				| Applying alpha-rule on (1385) yields:
% 43.11/13.40  																																																				| (1386) all_0_73_73 = e2
% 43.11/13.40  																																																				| (1387)  ~ (all_0_74_74 = e0)
% 43.11/13.40  																																																				|
% 43.11/13.40  																																																				| Combining equations (2602,1386) yields a new equation:
% 43.11/13.40  																																																				| (385) e2 = e1
% 43.11/13.40  																																																				|
% 43.11/13.40  																																																				| Equations (385) can reduce 243 to:
% 43.11/13.40  																																																				| (311) $false
% 43.11/13.40  																																																				|
% 43.11/13.40  																																																				|-The branch is then unsatisfiable
% 43.11/13.40  																																																		|-Branch two:
% 43.11/13.40  																																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																			| Applying alpha-rule on (1391) yields:
% 43.11/13.40  																																																			| (1392) all_0_75_75 = e1
% 43.11/13.40  																																																			| (1393)  ~ (all_0_76_76 = e0)
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																			| Combining equations (9862,1392) yields a new equation:
% 43.11/13.40  																																																			| (825) e3 = e1
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																			| Simplifying 825 yields:
% 43.11/13.40  																																																			| (772) e3 = e1
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																			| Equations (772) can reduce 20 to:
% 43.11/13.40  																																																			| (311) $false
% 43.11/13.40  																																																			|
% 43.11/13.40  																																																			|-The branch is then unsatisfiable
% 43.11/13.40  																																																	|-Branch two:
% 43.11/13.40  																																																	| (745)  ~ (all_0_90_90 = e3)
% 43.11/13.40  																																																	| (744) all_0_95_95 = e3
% 43.11/13.40  																																																	|
% 43.11/13.40  																																																		| Combining equations (767,744) yields a new equation:
% 43.11/13.40  																																																		| (548) e3 = e2
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																		| Equations (548) can reduce 169 to:
% 43.11/13.40  																																																		| (311) $false
% 43.11/13.40  																																																		|
% 43.11/13.40  																																																		|-The branch is then unsatisfiable
% 43.11/13.40  																																												|-Branch two:
% 43.11/13.40  																																												| (509)  ~ (all_0_93_93 = e0)
% 43.11/13.40  																																												| (607) all_0_93_93 = e4
% 43.11/13.40  																																												|
% 43.11/13.40  																																													| Equations (607) can reduce 496 to:
% 43.11/13.40  																																													| (311) $false
% 43.11/13.40  																																													|
% 43.11/13.40  																																													|-The branch is then unsatisfiable
% 43.11/13.40  																																									|-Branch two:
% 43.11/13.40  																																									| (959)  ~ (all_0_91_91 = e1)
% 43.11/13.40  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.11/13.40  																																									|
% 43.11/13.40  																																										+-Applying beta-rule and splitting (1556), into two cases.
% 43.11/13.40  																																										|-Branch one:
% 43.11/13.40  																																										| (836) all_0_92_92 = e1
% 43.11/13.40  																																										|
% 43.11/13.40  																																											| Combining equations (442,836) yields a new equation:
% 43.11/13.40  																																											| (813) e4 = e1
% 43.11/13.40  																																											|
% 43.11/13.40  																																											| Simplifying 813 yields:
% 43.11/13.40  																																											| (814) e4 = e1
% 43.11/13.40  																																											|
% 43.11/13.40  																																											| Equations (814) can reduce 256 to:
% 43.11/13.40  																																											| (311) $false
% 43.11/13.40  																																											|
% 43.11/13.40  																																											|-The branch is then unsatisfiable
% 43.11/13.40  																																										|-Branch two:
% 43.11/13.40  																																										| (840)  ~ (all_0_92_92 = e1)
% 43.11/13.40  																																										| (566) all_0_93_93 = e1
% 43.11/13.40  																																										|
% 43.11/13.40  																																											| Equations (566) can reduce 481 to:
% 43.11/13.40  																																											| (311) $false
% 43.11/13.40  																																											|
% 43.11/13.40  																																											|-The branch is then unsatisfiable
% 43.11/13.40  																																			|-Branch two:
% 43.11/13.40  																																			| (779)  ~ (all_0_83_83 = e3)
% 43.11/13.40  																																			| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.11/13.40  																																			|
% 43.11/13.40  																																				+-Applying beta-rule and splitting (1594), into two cases.
% 43.11/13.40  																																				|-Branch one:
% 43.11/13.40  																																				| (1265) all_0_84_84 = e3
% 43.11/13.40  																																				|
% 43.11/13.40  																																					| Combining equations (916,1265) yields a new equation:
% 43.11/13.40  																																					| (600) e3 = e0
% 43.11/13.40  																																					|
% 43.11/13.40  																																					| Equations (600) can reduce 50 to:
% 43.11/13.40  																																					| (311) $false
% 43.11/13.40  																																					|
% 43.11/13.40  																																					|-The branch is then unsatisfiable
% 43.11/13.40  																																				|-Branch two:
% 43.11/13.40  																																				| (422)  ~ (all_0_84_84 = e3)
% 43.11/13.40  																																				| (804) all_0_85_85 = e3
% 43.11/13.40  																																				|
% 43.11/13.40  																																					| Combining equations (804,512) yields a new equation:
% 43.11/13.40  																																					| (547) e3 = e2
% 43.11/13.40  																																					|
% 43.11/13.40  																																					| Simplifying 547 yields:
% 43.11/13.40  																																					| (548) e3 = e2
% 43.11/13.40  																																					|
% 43.11/13.40  																																					| Equations (548) can reduce 169 to:
% 43.11/13.40  																																					| (311) $false
% 43.11/13.40  																																					|
% 43.11/13.40  																																					|-The branch is then unsatisfiable
% 43.11/13.40  																																|-Branch two:
% 43.11/13.40  																																| (919)  ~ (all_0_84_84 = e0)
% 43.11/13.40  																																| (438) all_0_84_84 = e4
% 43.11/13.40  																																|
% 43.11/13.40  																																	| Equations (438) can reduce 417 to:
% 43.11/13.40  																																	| (311) $false
% 43.11/13.40  																																	|
% 43.11/13.40  																																	|-The branch is then unsatisfiable
% 43.11/13.40  																								|-Branch two:
% 43.11/13.40  																								| (1619)  ~ (all_0_92_92 = e4)
% 43.11/13.40  																								| (607) all_0_93_93 = e4
% 43.11/13.40  																								|
% 43.11/13.40  																									| Equations (607) can reduce 496 to:
% 43.11/13.40  																									| (311) $false
% 43.11/13.40  																									|
% 43.11/13.40  																									|-The branch is then unsatisfiable
% 43.11/13.40  																					|-Branch two:
% 43.11/13.40  																					| (355)  ~ (all_0_95_95 = e2)
% 43.11/13.40  																					| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.11/13.40  																					|
% 43.11/13.40  																						+-Applying beta-rule and splitting (1772), into two cases.
% 43.11/13.40  																						|-Branch one:
% 43.11/13.40  																						| (1704) all_0_96_96 = e2
% 43.11/13.40  																						|
% 43.11/13.40  																							| Equations (1704) can reduce 1638 to:
% 43.11/13.40  																							| (311) $false
% 43.11/13.40  																							|
% 43.11/13.40  																							|-The branch is then unsatisfiable
% 43.11/13.40  																						|-Branch two:
% 43.11/13.40  																						| (1638)  ~ (all_0_96_96 = e2)
% 43.11/13.40  																						| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 43.11/13.40  																						|
% 43.11/13.40  																							+-Applying beta-rule and splitting (1783), into two cases.
% 43.11/13.40  																							|-Branch one:
% 43.11/13.40  																							| (538) all_0_97_97 = e2
% 43.11/13.40  																							|
% 43.11/13.40  																								| Equations (538) can reduce 527 to:
% 43.11/13.40  																								| (311) $false
% 43.11/13.40  																								|
% 43.11/13.40  																								|-The branch is then unsatisfiable
% 43.11/13.40  																							|-Branch two:
% 43.11/13.40  																							| (527)  ~ (all_0_97_97 = e2)
% 43.11/13.40  																							| (525) all_0_98_98 = e2
% 43.11/13.40  																							|
% 43.11/13.40  																								| Equations (525) can reduce 1349 to:
% 43.11/13.40  																								| (311) $false
% 43.11/13.40  																								|
% 43.11/13.40  																								|-The branch is then unsatisfiable
% 43.11/13.40  																|-Branch two:
% 43.11/13.40  																| (465)  ~ (all_0_82_82 = e4)
% 43.11/13.40  																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.11/13.40  																|
% 43.11/13.40  																	+-Applying beta-rule and splitting (437), into two cases.
% 43.11/13.40  																	|-Branch one:
% 43.11/13.40  																	| (438) all_0_84_84 = e4
% 43.11/13.40  																	|
% 43.11/13.40  																		| Equations (438) can reduce 417 to:
% 43.11/13.40  																		| (311) $false
% 43.11/13.40  																		|
% 43.11/13.40  																		|-The branch is then unsatisfiable
% 43.11/13.40  																	|-Branch two:
% 43.11/13.40  																	| (417)  ~ (all_0_84_84 = e4)
% 43.11/13.40  																	| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.11/13.40  																	|
% 43.11/13.40  																		+-Applying beta-rule and splitting (472), into two cases.
% 43.11/13.40  																		|-Branch one:
% 43.11/13.40  																		| (438) all_0_84_84 = e4
% 43.11/13.40  																		|
% 43.11/13.40  																			| Equations (438) can reduce 417 to:
% 43.11/13.40  																			| (311) $false
% 43.11/13.40  																			|
% 43.11/13.40  																			|-The branch is then unsatisfiable
% 43.11/13.40  																		|-Branch two:
% 43.11/13.40  																		| (417)  ~ (all_0_84_84 = e4)
% 43.11/13.40  																		| (493) all_0_85_85 = e4
% 43.11/13.40  																		|
% 43.11/13.40  																			| Equations (493) can reduce 648 to:
% 43.11/13.40  																			| (311) $false
% 43.11/13.40  																			|
% 43.11/13.40  																			|-The branch is then unsatisfiable
% 43.11/13.40  											|-Branch two:
% 43.11/13.40  											| (1601)  ~ (all_0_78_78 = e1)
% 43.11/13.40  											| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 43.11/13.40  											|
% 43.11/13.40  												+-Applying beta-rule and splitting (123), into two cases.
% 43.11/13.40  												|-Branch one:
% 43.11/13.40  												| (473) all_0_81_81 = e2
% 43.11/13.40  												|
% 43.11/13.40  													| Equations (473) can reduce 396 to:
% 43.11/13.40  													| (311) $false
% 43.11/13.40  													|
% 43.11/13.40  													|-The branch is then unsatisfiable
% 43.11/13.40  												|-Branch two:
% 43.11/13.40  												| (396)  ~ (all_0_81_81 = e2)
% 43.11/13.40  												| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.11/13.40  												|
% 43.11/13.40  													+-Applying beta-rule and splitting (24), into two cases.
% 43.11/13.40  													|-Branch one:
% 43.11/13.40  													| (400) all_0_78_78 = e2
% 43.11/13.40  													|
% 43.11/13.40  														| Equations (400) can reduce 346 to:
% 43.11/13.40  														| (311) $false
% 43.11/13.40  														|
% 43.11/13.40  														|-The branch is then unsatisfiable
% 43.11/13.40  													|-Branch two:
% 43.11/13.40  													| (346)  ~ (all_0_78_78 = e2)
% 43.11/13.40  													| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 43.11/13.40  													|
% 43.11/13.40  														+-Applying beta-rule and splitting (476), into two cases.
% 43.11/13.40  														|-Branch one:
% 43.11/13.40  														| (477) all_0_81_81 = e1
% 43.11/13.40  														|
% 43.11/13.40  															| Equations (477) can reduce 628 to:
% 43.11/13.40  															| (311) $false
% 43.11/13.40  															|
% 43.11/13.40  															|-The branch is then unsatisfiable
% 43.11/13.40  														|-Branch two:
% 43.11/13.40  														| (628)  ~ (all_0_81_81 = e1)
% 43.11/13.40  														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.11/13.40  														|
% 43.11/13.40  															+-Applying beta-rule and splitting (629), into two cases.
% 43.11/13.40  															|-Branch one:
% 43.11/13.40  															| (635) all_0_81_81 = e3
% 43.11/13.40  															|
% 43.11/13.40  																| Equations (635) can reduce 420 to:
% 43.11/13.40  																| (311) $false
% 43.11/13.40  																|
% 43.11/13.40  																|-The branch is then unsatisfiable
% 43.11/13.40  															|-Branch two:
% 43.11/13.40  															| (420)  ~ (all_0_81_81 = e3)
% 43.11/13.40  															| (638) all_0_81_81 = e4
% 43.11/13.40  															|
% 43.11/13.40  																| Equations (638) can reduce 278 to:
% 43.11/13.40  																| (640)  ~ (all_0_78_78 = e4)
% 43.11/13.40  																|
% 43.11/13.40  																+-Applying beta-rule and splitting (675), into two cases.
% 43.11/13.40  																|-Branch one:
% 43.11/13.40  																| (676) all_0_78_78 = e1
% 43.11/13.40  																|
% 43.11/13.40  																	| Equations (676) can reduce 1601 to:
% 43.11/13.40  																	| (311) $false
% 43.11/13.40  																	|
% 43.11/13.40  																	|-The branch is then unsatisfiable
% 43.11/13.40  																|-Branch two:
% 43.11/13.40  																| (1601)  ~ (all_0_78_78 = e1)
% 43.11/13.40  																| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 43.11/13.40  																|
% 43.11/13.40  																	+-Applying beta-rule and splitting (1606), into two cases.
% 43.11/13.40  																	|-Branch one:
% 43.11/13.40  																	| (771) all_0_78_78 = e3
% 43.11/13.40  																	|
% 43.11/13.40  																		| Equations (771) can reduce 418 to:
% 43.11/13.40  																		| (311) $false
% 43.11/13.40  																		|
% 43.11/13.40  																		|-The branch is then unsatisfiable
% 43.11/13.40  																	|-Branch two:
% 43.11/13.40  																	| (418)  ~ (all_0_78_78 = e3)
% 43.11/13.40  																	| (463) all_0_78_78 = e4
% 43.11/13.40  																	|
% 43.11/13.40  																		| Equations (463) can reduce 640 to:
% 43.11/13.40  																		| (311) $false
% 43.11/13.40  																		|
% 43.11/13.40  																		|-The branch is then unsatisfiable
% 43.11/13.40  								|-Branch two:
% 43.11/13.40  								| (1622)  ~ (all_0_79_79 = e2)
% 43.11/13.40  								| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 43.11/13.40  								|
% 43.11/13.40  									+-Applying beta-rule and splitting (101), into two cases.
% 43.11/13.40  									|-Branch one:
% 43.11/13.40  									| (400) all_0_78_78 = e2
% 43.11/13.40  									|
% 43.11/13.40  										| Equations (400) can reduce 66 to:
% 43.11/13.40  										| (9970)  ~ (all_0_79_79 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Simplifying 9970 yields:
% 43.11/13.40  										| (1622)  ~ (all_0_79_79 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Equations (400) can reduce 67 to:
% 43.11/13.40  										| (393)  ~ (all_0_80_80 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Simplifying 393 yields:
% 43.11/13.40  										| (394)  ~ (all_0_80_80 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Equations (400) can reduce 193 to:
% 43.11/13.40  										| (9974)  ~ (all_0_82_82 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Simplifying 9974 yields:
% 43.11/13.40  										| (347)  ~ (all_0_82_82 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Equations (400) can reduce 85 to:
% 43.11/13.40  										| (293)  ~ (all_0_90_90 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Simplifying 293 yields:
% 43.11/13.40  										| (294)  ~ (all_0_90_90 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Equations (400) can reduce 125 to:
% 43.11/13.40  										| (354)  ~ (all_0_95_95 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Simplifying 354 yields:
% 43.11/13.40  										| (355)  ~ (all_0_95_95 = e2)
% 43.11/13.40  										|
% 43.11/13.40  										| Equations (400) can reduce 86 to:
% 43.11/13.40  										| (76)  ~ (e2 = e0)
% 43.11/13.40  										|
% 43.11/13.40  										| From (400) and (104) follows:
% 43.11/13.40  										| (9981) op(e4, e2) = all_0_44_44
% 43.11/13.40  										|
% 43.11/13.40  										| From (400) and (263) follows:
% 43.11/13.40  										| (9982) op(e4, e3) = e2
% 43.11/13.40  										|
% 43.11/13.40  										| From (400) and (138) follows:
% 43.11/13.41  										| (9983) op(e3, e2) = all_0_43_43
% 43.11/13.41  										|
% 43.11/13.41  										| Instantiating formula (262) with e4, e2, all_0_44_44, all_0_79_79 and discharging atoms op(e4, e2) = all_0_44_44, op(e4, e2) = all_0_79_79, yields:
% 43.11/13.41  										| (9984) all_0_44_44 = all_0_79_79
% 43.11/13.41  										|
% 43.11/13.41  										| Instantiating formula (262) with e3, e2, all_0_43_43, all_0_83_83 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = all_0_83_83, yields:
% 43.11/13.41  										| (9985) all_0_43_43 = all_0_83_83
% 43.11/13.41  										|
% 43.11/13.41  										| From (9984) and (9981) follows:
% 43.11/13.41  										| (267) op(e4, e2) = all_0_79_79
% 43.11/13.41  										|
% 43.11/13.41  										+-Applying beta-rule and splitting (248), into two cases.
% 43.11/13.41  										|-Branch one:
% 43.11/13.41  										| (390) all_0_79_79 = e2
% 43.11/13.41  										|
% 43.11/13.41  											| Equations (390) can reduce 1622 to:
% 43.11/13.41  											| (311) $false
% 43.11/13.41  											|
% 43.11/13.41  											|-The branch is then unsatisfiable
% 43.11/13.41  										|-Branch two:
% 43.11/13.41  										| (1622)  ~ (all_0_79_79 = e2)
% 43.11/13.41  										| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 43.11/13.41  										|
% 43.11/13.41  											+-Applying beta-rule and splitting (41), into two cases.
% 43.11/13.41  											|-Branch one:
% 43.11/13.41  											| (530) all_0_82_82 = e2
% 43.11/13.41  											|
% 43.11/13.41  												| Equations (530) can reduce 347 to:
% 43.11/13.41  												| (311) $false
% 43.11/13.41  												|
% 43.11/13.41  												|-The branch is then unsatisfiable
% 43.11/13.41  											|-Branch two:
% 43.11/13.41  											| (347)  ~ (all_0_82_82 = e2)
% 43.11/13.41  											| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 43.11/13.41  											|
% 43.11/13.41  												+-Applying beta-rule and splitting (52), into two cases.
% 43.11/13.41  												|-Branch one:
% 43.11/13.41  												| (453) all_0_83_83 = e2
% 43.11/13.41  												|
% 43.11/13.41  													| Combining equations (453,9985) yields a new equation:
% 43.11/13.41  													| (689) all_0_43_43 = e2
% 43.11/13.41  													|
% 43.11/13.41  													| Equations (453) can reduce 272 to:
% 43.11/13.41  													| (1622)  ~ (all_0_79_79 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Equations (453) can reduce 223 to:
% 43.11/13.41  													| (1631)  ~ (all_0_84_84 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Simplifying 1631 yields:
% 43.11/13.41  													| (612)  ~ (all_0_84_84 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Equations (453) can reduce 146 to:
% 43.11/13.41  													| (295)  ~ (all_0_91_91 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Simplifying 295 yields:
% 43.11/13.41  													| (296)  ~ (all_0_91_91 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Equations (453) can reduce 211 to:
% 43.11/13.41  													| (1637)  ~ (all_0_96_96 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Simplifying 1637 yields:
% 43.11/13.41  													| (1638)  ~ (all_0_96_96 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Equations (453) can reduce 155 to:
% 43.11/13.41  													| (528)  ~ (e4 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| Simplifying 528 yields:
% 43.11/13.41  													| (79)  ~ (e4 = e2)
% 43.11/13.41  													|
% 43.11/13.41  													| From (453) and (206) follows:
% 43.11/13.41  													| (1643) op(e2, e2) = all_0_54_54
% 43.11/13.41  													|
% 43.11/13.41  													+-Applying beta-rule and splitting (97), into two cases.
% 43.11/13.41  													|-Branch one:
% 43.11/13.41  													| (1757) all_0_94_94 = e2
% 43.11/13.41  													|
% 43.11/13.41  														| Combining equations (1757,313) yields a new equation:
% 43.11/13.41  														| (310) e4 = e2
% 43.11/13.41  														|
% 43.11/13.41  														| Equations (310) can reduce 79 to:
% 43.11/13.41  														| (311) $false
% 43.11/13.41  														|
% 43.11/13.41  														|-The branch is then unsatisfiable
% 43.11/13.41  													|-Branch two:
% 43.11/13.41  													| (1761)  ~ (all_0_94_94 = e2)
% 43.11/13.41  													| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.11/13.41  													|
% 43.11/13.41  														+-Applying beta-rule and splitting (1762), into two cases.
% 43.11/13.41  														|-Branch one:
% 43.11/13.41  														| (767) all_0_95_95 = e2
% 43.11/13.41  														|
% 43.11/13.41  															| Equations (767) can reduce 355 to:
% 43.11/13.41  															| (311) $false
% 43.11/13.41  															|
% 43.11/13.41  															|-The branch is then unsatisfiable
% 43.11/13.41  														|-Branch two:
% 43.11/13.41  														| (355)  ~ (all_0_95_95 = e2)
% 43.11/13.41  														| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.11/13.41  														|
% 43.11/13.41  															+-Applying beta-rule and splitting (1772), into two cases.
% 43.11/13.41  															|-Branch one:
% 43.11/13.41  															| (1704) all_0_96_96 = e2
% 43.11/13.41  															|
% 43.11/13.41  																| Equations (1704) can reduce 1638 to:
% 43.11/13.41  																| (311) $false
% 43.11/13.41  																|
% 43.11/13.41  																|-The branch is then unsatisfiable
% 43.11/13.41  															|-Branch two:
% 43.11/13.41  															| (1638)  ~ (all_0_96_96 = e2)
% 43.11/13.41  															| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 43.11/13.41  															|
% 43.11/13.41  																+-Applying beta-rule and splitting (1783), into two cases.
% 43.11/13.41  																|-Branch one:
% 43.11/13.41  																| (538) all_0_97_97 = e2
% 43.11/13.41  																|
% 43.11/13.41  																	| Equations (538) can reduce 527 to:
% 43.11/13.41  																	| (311) $false
% 43.11/13.41  																	|
% 43.11/13.41  																	|-The branch is then unsatisfiable
% 43.11/13.41  																|-Branch two:
% 43.11/13.41  																| (527)  ~ (all_0_97_97 = e2)
% 43.11/13.41  																| (525) all_0_98_98 = e2
% 43.11/13.41  																|
% 43.11/13.41  																	| Equations (525) can reduce 5 to:
% 43.11/13.41  																	| (396)  ~ (all_0_81_81 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 75 to:
% 43.11/13.41  																	| (515)  ~ (all_0_85_85 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 13 to:
% 43.11/13.41  																	| (300)  ~ (all_0_93_93 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 107 to:
% 43.11/13.41  																	| (355)  ~ (all_0_95_95 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 43 to:
% 43.11/13.41  																	| (1638)  ~ (all_0_96_96 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 148 to:
% 43.11/13.41  																	| (527)  ~ (all_0_97_97 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 321 to:
% 43.11/13.41  																	| (528)  ~ (e4 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Simplifying 528 yields:
% 43.11/13.41  																	| (79)  ~ (e4 = e2)
% 43.11/13.41  																	|
% 43.11/13.41  																	| Equations (525) can reduce 1804 to:
% 43.11/13.41  																	| (243)  ~ (e2 = e1)
% 43.11/13.41  																	|
% 43.11/13.41  																	| From (525) and (38) follows:
% 43.11/13.41  																	| (2408) op(e0, e0) = e2
% 43.11/13.41  																	|
% 43.11/13.41  																	| Instantiating formula (262) with e2, e2, all_0_54_54, e4 and discharging atoms op(e2, e2) = all_0_54_54, op(e2, e2) = e4, yields:
% 43.11/13.41  																	| (1647) all_0_54_54 = e4
% 43.11/13.41  																	|
% 43.11/13.41  																	| From (1647) and (1643) follows:
% 43.11/13.41  																	| (6) op(e2, e2) = e4
% 43.11/13.41  																	|
% 43.11/13.41  																	+-Applying beta-rule and splitting (219), into two cases.
% 43.11/13.41  																	|-Branch one:
% 43.11/13.41  																	| (798) all_0_83_83 = e0
% 43.11/13.41  																	|
% 43.11/13.41  																		| Combining equations (453,798) yields a new equation:
% 43.11/13.41  																		| (923) e2 = e0
% 43.11/13.41  																		|
% 43.11/13.41  																		| Simplifying 923 yields:
% 43.11/13.41  																		| (379) e2 = e0
% 43.11/13.41  																		|
% 43.11/13.41  																		| Equations (379) can reduce 76 to:
% 43.11/13.41  																		| (311) $false
% 43.11/13.41  																		|
% 43.11/13.41  																		|-The branch is then unsatisfiable
% 43.11/13.41  																	|-Branch two:
% 43.11/13.41  																	| (1314)  ~ (all_0_83_83 = e0)
% 43.11/13.41  																	| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.11/13.41  																	|
% 43.11/13.41  																		| Equations (453) can reduce 1314 to:
% 43.11/13.41  																		| (76)  ~ (e2 = e0)
% 43.11/13.41  																		|
% 43.11/13.41  																		+-Applying beta-rule and splitting (56), into two cases.
% 43.11/13.41  																		|-Branch one:
% 43.11/13.41  																		| (463) all_0_78_78 = e4
% 43.11/13.41  																		|
% 43.11/13.41  																			| Combining equations (400,463) yields a new equation:
% 43.11/13.41  																			| (310) e4 = e2
% 43.11/13.41  																			|
% 43.11/13.41  																			| Equations (310) can reduce 79 to:
% 43.11/13.41  																			| (311) $false
% 43.11/13.41  																			|
% 43.11/13.41  																			|-The branch is then unsatisfiable
% 43.11/13.41  																		|-Branch two:
% 43.11/13.41  																		| (640)  ~ (all_0_78_78 = e4)
% 43.11/13.41  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.11/13.41  																		|
% 43.11/13.41  																			| Equations (400) can reduce 640 to:
% 43.11/13.41  																			| (528)  ~ (e4 = e2)
% 43.11/13.41  																			|
% 43.11/13.41  																			| Simplifying 528 yields:
% 43.11/13.41  																			| (79)  ~ (e4 = e2)
% 43.11/13.41  																			|
% 43.11/13.41  																			+-Applying beta-rule and splitting (102), into two cases.
% 43.11/13.41  																			|-Branch one:
% 43.11/13.41  																			| (858) all_0_95_95 = e0
% 43.11/13.41  																			|
% 43.11/13.41  																				| Equations (858) can reduce 893 to:
% 43.11/13.41  																				| (311) $false
% 43.11/13.41  																				|
% 43.11/13.41  																				|-The branch is then unsatisfiable
% 43.11/13.41  																			|-Branch two:
% 43.11/13.41  																			| (893)  ~ (all_0_95_95 = e0)
% 43.11/13.41  																			| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.11/13.41  																			|
% 43.11/13.41  																				+-Applying beta-rule and splitting (188), into two cases.
% 43.11/13.41  																				|-Branch one:
% 43.11/13.41  																				| (676) all_0_78_78 = e1
% 43.11/13.41  																				|
% 43.11/13.41  																					| Combining equations (400,676) yields a new equation:
% 43.11/13.41  																					| (408) e2 = e1
% 43.11/13.41  																					|
% 43.11/13.41  																					| Simplifying 408 yields:
% 43.11/13.41  																					| (385) e2 = e1
% 43.11/13.41  																					|
% 43.11/13.41  																					| Equations (385) can reduce 243 to:
% 43.11/13.41  																					| (311) $false
% 43.11/13.41  																					|
% 43.11/13.41  																					|-The branch is then unsatisfiable
% 43.11/13.41  																				|-Branch two:
% 43.11/13.41  																				| (1601)  ~ (all_0_78_78 = e1)
% 43.11/13.41  																				| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.11/13.41  																				|
% 43.11/13.41  																					| Equations (400) can reduce 1601 to:
% 43.11/13.41  																					| (243)  ~ (e2 = e1)
% 43.11/13.41  																					|
% 43.11/13.41  																					+-Applying beta-rule and splitting (249), into two cases.
% 43.11/13.41  																					|-Branch one:
% 43.11/13.41  																					| (910) all_0_82_82 = e0
% 43.11/13.41  																					|
% 43.11/13.41  																						| Equations (910) can reduce 914 to:
% 43.11/13.41  																						| (311) $false
% 43.11/13.41  																						|
% 43.11/13.41  																						|-The branch is then unsatisfiable
% 43.11/13.41  																					|-Branch two:
% 43.11/13.41  																					| (914)  ~ (all_0_82_82 = e0)
% 43.11/13.41  																					| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.11/13.41  																					|
% 43.11/13.41  																						+-Applying beta-rule and splitting (289), into two cases.
% 43.11/13.41  																						|-Branch one:
% 43.11/13.41  																						| (954) all_0_85_85 = e0
% 43.11/13.41  																						|
% 43.11/13.41  																							| Combining equations (954,9576) yields a new equation:
% 43.11/13.41  																							| (10066) all_0_46_46 = e0
% 43.11/13.41  																							|
% 43.11/13.41  																							| Equations (954) can reduce 118 to:
% 43.11/13.41  																							| (257)  ~ (all_0_81_81 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| Equations (954) can reduce 154 to:
% 43.11/13.41  																							| (919)  ~ (all_0_84_84 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| Equations (954) can reduce 201 to:
% 43.11/13.41  																							| (508)  ~ (all_0_93_93 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| Simplifying 508 yields:
% 43.11/13.41  																							| (509)  ~ (all_0_93_93 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| Equations (954) can reduce 515 to:
% 43.11/13.41  																							| (510)  ~ (e2 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| Simplifying 510 yields:
% 43.11/13.41  																							| (76)  ~ (e2 = e0)
% 43.11/13.41  																							|
% 43.11/13.41  																							| From (954) and (197) follows:
% 43.11/13.41  																							| (10073) op(e3, e0) = all_0_72_72
% 43.11/13.41  																							|
% 43.11/13.41  																							| From (954) and (8) follows:
% 43.11/13.41  																							| (1093) op(e3, e0) = e0
% 43.11/13.41  																							|
% 43.11/13.41  																							| From (954) and (26) follows:
% 43.11/13.41  																							| (2584) op(e0, e0) = all_0_71_71
% 43.11/13.41  																							|
% 43.11/13.41  																							| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 43.11/13.41  																							| (10076) all_0_72_72 = e0
% 43.11/13.41  																							|
% 43.11/13.41  																							| Instantiating formula (262) with e0, e0, all_0_71_71, e2 and discharging atoms op(e0, e0) = all_0_71_71, op(e0, e0) = e2, yields:
% 43.11/13.41  																							| (2601) all_0_71_71 = e2
% 43.11/13.41  																							|
% 43.11/13.41  																							| From (10076) and (10073) follows:
% 43.11/13.41  																							| (1093) op(e3, e0) = e0
% 43.11/13.41  																							|
% 43.11/13.41  																							+-Applying beta-rule and splitting (109), into two cases.
% 43.11/13.41  																							|-Branch one:
% 43.11/13.41  																							| (469) all_0_82_82 = e4
% 43.11/13.41  																							|
% 43.11/13.41  																								| Equations (469) can reduce 7 to:
% 43.11/13.41  																								| (662)  ~ (all_0_84_84 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| Simplifying 662 yields:
% 43.11/13.41  																								| (417)  ~ (all_0_84_84 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| Equations (469) can reduce 255 to:
% 43.11/13.41  																								| (466)  ~ (all_0_90_90 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| Simplifying 466 yields:
% 43.11/13.41  																								| (467)  ~ (all_0_90_90 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| Equations (469) can reduce 200 to:
% 43.11/13.41  																								| (314)  ~ (all_0_95_95 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| Simplifying 314 yields:
% 43.11/13.41  																								| (315)  ~ (all_0_95_95 = e4)
% 43.11/13.41  																								|
% 43.11/13.41  																								| From (469) and (61) follows:
% 43.11/13.41  																								| (671) op(e3, e3) = e4
% 43.11/13.41  																								|
% 43.11/13.41  																								+-Applying beta-rule and splitting (92), into two cases.
% 43.11/13.41  																								|-Branch one:
% 43.11/13.41  																								| (552) all_0_84_84 = e2
% 43.11/13.41  																								|
% 43.11/13.41  																									| Equations (552) can reduce 612 to:
% 43.11/13.41  																									| (311) $false
% 43.11/13.41  																									|
% 43.11/13.41  																									|-The branch is then unsatisfiable
% 43.11/13.41  																								|-Branch two:
% 43.11/13.41  																								| (612)  ~ (all_0_84_84 = e2)
% 43.11/13.41  																								| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.11/13.41  																								|
% 43.11/13.41  																									+-Applying beta-rule and splitting (617), into two cases.
% 43.11/13.41  																									|-Branch one:
% 43.11/13.41  																									| (1265) all_0_84_84 = e3
% 43.11/13.41  																									|
% 43.11/13.41  																										| Equations (1265) can reduce 273 to:
% 43.11/13.41  																										| (2347)  ~ (all_0_80_80 = e3)
% 43.11/13.41  																										|
% 43.11/13.41  																										| Equations (1265) can reduce 417 to:
% 43.11/13.41  																										| (783)  ~ (e4 = e3)
% 43.11/13.41  																										|
% 43.11/13.41  																										| Simplifying 783 yields:
% 43.11/13.41  																										| (177)  ~ (e4 = e3)
% 43.11/13.41  																										|
% 43.11/13.41  																										| Equations (1265) can reduce 612 to:
% 43.11/13.41  																										| (169)  ~ (e3 = e2)
% 43.11/13.41  																										|
% 43.11/13.41  																										| Equations (1265) can reduce 919 to:
% 43.11/13.41  																										| (50)  ~ (e3 = e0)
% 43.11/13.41  																										|
% 43.11/13.41  																										| From (1265) and (150) follows:
% 43.11/13.41  																										| (4457) op(e3, e3) = all_0_63_63
% 43.11/13.41  																										|
% 43.11/13.41  																										| From (1265) and (232) follows:
% 43.11/13.41  																										| (10098) op(e3, e1) = e3
% 43.11/13.41  																										|
% 43.11/13.41  																										| Instantiating formula (262) with e3, e3, e4, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e4, yields:
% 43.11/13.41  																										| (10099) all_0_63_63 = e4
% 43.11/13.41  																										|
% 43.11/13.41  																										| From (10099) and (4457) follows:
% 43.11/13.42  																										| (671) op(e3, e3) = e4
% 43.11/13.42  																										|
% 43.11/13.42  																										+-Applying beta-rule and splitting (129), into two cases.
% 43.11/13.42  																										|-Branch one:
% 43.11/13.42  																										| (676) all_0_78_78 = e1
% 43.11/13.42  																										|
% 43.11/13.42  																											| Combining equations (676,400) yields a new equation:
% 43.11/13.42  																											| (385) e2 = e1
% 43.11/13.42  																											|
% 43.11/13.42  																											| Equations (385) can reduce 243 to:
% 43.11/13.42  																											| (311) $false
% 43.11/13.42  																											|
% 43.11/13.42  																											|-The branch is then unsatisfiable
% 43.11/13.42  																										|-Branch two:
% 43.11/13.42  																										| (1601)  ~ (all_0_78_78 = e1)
% 43.11/13.42  																										| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 43.11/13.42  																										|
% 43.11/13.42  																											+-Applying beta-rule and splitting (106), into two cases.
% 43.11/13.42  																											|-Branch one:
% 43.11/13.42  																											| (771) all_0_78_78 = e3
% 43.11/13.42  																											|
% 43.11/13.42  																												| Combining equations (771,400) yields a new equation:
% 43.11/13.42  																												| (547) e3 = e2
% 43.11/13.42  																												|
% 43.11/13.42  																												| Simplifying 547 yields:
% 43.11/13.42  																												| (548) e3 = e2
% 43.11/13.42  																												|
% 43.11/13.42  																												| Equations (548) can reduce 169 to:
% 43.11/13.42  																												| (311) $false
% 43.11/13.42  																												|
% 43.11/13.42  																												|-The branch is then unsatisfiable
% 43.11/13.42  																											|-Branch two:
% 43.11/13.42  																											| (418)  ~ (all_0_78_78 = e3)
% 43.11/13.42  																											| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.11/13.42  																											|
% 43.11/13.42  																												| Equations (400) can reduce 418 to:
% 43.11/13.42  																												| (356)  ~ (e3 = e2)
% 43.11/13.42  																												|
% 43.11/13.42  																												| Simplifying 356 yields:
% 43.11/13.42  																												| (169)  ~ (e3 = e2)
% 43.11/13.42  																												|
% 43.11/13.42  																												+-Applying beta-rule and splitting (250), into two cases.
% 43.11/13.42  																												|-Branch one:
% 43.11/13.42  																												| (635) all_0_81_81 = e3
% 43.11/13.42  																												|
% 43.11/13.42  																													| Equations (635) can reduce 15 to:
% 43.11/13.42  																													| (1711)  ~ (all_0_79_79 = e3)
% 43.11/13.42  																													|
% 43.11/13.42  																													| Equations (635) can reduce 396 to:
% 43.11/13.42  																													| (169)  ~ (e3 = e2)
% 43.11/13.42  																													|
% 43.11/13.42  																													| From (635) and (145) follows:
% 43.11/13.42  																													| (2368) op(e0, e3) = all_0_69_69
% 43.11/13.42  																													|
% 43.11/13.42  																													+-Applying beta-rule and splitting (641), into two cases.
% 43.11/13.42  																													|-Branch one:
% 43.11/13.42  																													| (433) all_0_80_80 = e4
% 43.11/13.42  																													|
% 43.11/13.42  																														| Equations (433) can reduce 63 to:
% 43.11/13.42  																														| (235)  ~ (all_0_79_79 = e4)
% 43.11/13.42  																														|
% 43.11/13.42  																														| Equations (433) can reduce 49 to:
% 43.11/13.42  																														| (1906)  ~ (all_0_92_92 = e4)
% 43.11/13.42  																														|
% 43.11/13.42  																														| Simplifying 1906 yields:
% 43.11/13.42  																														| (1619)  ~ (all_0_92_92 = e4)
% 43.11/13.42  																														|
% 43.11/13.42  																														| Equations (433) can reduce 394 to:
% 43.11/13.42  																														| (79)  ~ (e4 = e2)
% 43.11/13.42  																														|
% 43.11/13.42  																														+-Applying beta-rule and splitting (46), into two cases.
% 43.11/13.42  																														|-Branch one:
% 43.11/13.42  																														| (308) all_0_89_89 = e4
% 43.11/13.42  																														|
% 43.11/13.42  																															| Combining equations (292,308) yields a new equation:
% 43.11/13.42  																															| (310) e4 = e2
% 43.11/13.42  																															|
% 43.11/13.42  																															| Equations (310) can reduce 79 to:
% 43.11/13.42  																															| (311) $false
% 43.11/13.42  																															|
% 43.11/13.42  																															|-The branch is then unsatisfiable
% 43.11/13.42  																														|-Branch two:
% 43.11/13.42  																														| (312)  ~ (all_0_89_89 = e4)
% 43.11/13.42  																														| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.11/13.42  																														|
% 43.11/13.42  																															+-Applying beta-rule and splitting (1915), into two cases.
% 43.11/13.42  																															|-Branch one:
% 43.11/13.42  																															| (583) all_0_90_90 = e4
% 43.11/13.42  																															|
% 43.11/13.42  																																| Equations (583) can reduce 467 to:
% 43.11/13.42  																																| (311) $false
% 43.11/13.42  																																|
% 43.11/13.42  																																|-The branch is then unsatisfiable
% 43.11/13.42  																															|-Branch two:
% 43.11/13.42  																															| (467)  ~ (all_0_90_90 = e4)
% 43.11/13.42  																															| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.11/13.42  																															|
% 43.11/13.42  																																+-Applying beta-rule and splitting (1928), into two cases.
% 43.11/13.42  																																|-Branch one:
% 43.11/13.42  																																| (442) all_0_92_92 = e4
% 43.11/13.42  																																|
% 43.11/13.42  																																	| Equations (442) can reduce 1619 to:
% 43.11/13.42  																																	| (311) $false
% 43.11/13.42  																																	|
% 43.11/13.42  																																	|-The branch is then unsatisfiable
% 43.11/13.42  																																|-Branch two:
% 43.11/13.42  																																| (1619)  ~ (all_0_92_92 = e4)
% 43.11/13.42  																																| (607) all_0_93_93 = e4
% 43.11/13.42  																																|
% 43.11/13.42  																																	| From (607) and (173) follows:
% 43.11/13.42  																																	| (1935) op(e0, e4) = all_0_75_75
% 43.11/13.42  																																	|
% 43.11/13.42  																																	+-Applying beta-rule and splitting (1602), into two cases.
% 43.11/13.42  																																	|-Branch one:
% 43.11/13.42  																																	| (457) all_0_79_79 = e1
% 43.11/13.42  																																	|
% 43.11/13.42  																																		| Equations (457) can reduce 235 to:
% 43.11/13.42  																																		| (681)  ~ (e4 = e1)
% 43.11/13.42  																																		|
% 43.11/13.42  																																		| Simplifying 681 yields:
% 43.11/13.42  																																		| (256)  ~ (e4 = e1)
% 43.11/13.42  																																		|
% 43.11/13.42  																																		| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 43.11/13.42  																																		| (1966) all_0_75_75 = e4
% 43.11/13.42  																																		|
% 43.11/13.42  																																		| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_95_95 and discharging atoms op(e0, e3) = all_0_69_69, op(e0, e3) = all_0_95_95, yields:
% 43.11/13.42  																																		| (2409) all_0_69_69 = all_0_95_95
% 43.11/13.42  																																		|
% 43.11/13.42  																																		+-Applying beta-rule and splitting (89), into two cases.
% 43.11/13.42  																																		|-Branch one:
% 43.11/13.42  																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.11/13.42  																																		|
% 43.11/13.42  																																			+-Applying beta-rule and splitting (1373), into two cases.
% 43.11/13.42  																																			|-Branch one:
% 43.11/13.42  																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.11/13.42  																																			|
% 43.11/13.42  																																				+-Applying beta-rule and splitting (1374), into two cases.
% 43.11/13.42  																																				|-Branch one:
% 43.11/13.42  																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.11/13.42  																																				|
% 43.11/13.42  																																					| Applying alpha-rule on (1375) yields:
% 43.11/13.42  																																					| (1376) all_0_69_69 = e4
% 43.11/13.42  																																					| (1377)  ~ (all_0_70_70 = e0)
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Combining equations (2409,1376) yields a new equation:
% 43.11/13.42  																																					| (2764) all_0_95_95 = e4
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Simplifying 2764 yields:
% 43.11/13.42  																																					| (894) all_0_95_95 = e4
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Equations (894) can reduce 315 to:
% 43.11/13.42  																																					| (311) $false
% 43.11/13.42  																																					|
% 43.11/13.42  																																					|-The branch is then unsatisfiable
% 43.11/13.42  																																				|-Branch two:
% 43.11/13.42  																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.11/13.42  																																				|
% 43.11/13.42  																																					| Applying alpha-rule on (1379) yields:
% 43.11/13.42  																																					| (1380) all_0_71_71 = e3
% 43.11/13.42  																																					| (1381)  ~ (all_0_72_72 = e0)
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Combining equations (1380,2601) yields a new equation:
% 43.11/13.42  																																					| (547) e3 = e2
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Simplifying 547 yields:
% 43.11/13.42  																																					| (548) e3 = e2
% 43.11/13.42  																																					|
% 43.11/13.42  																																					| Equations (548) can reduce 169 to:
% 43.11/13.42  																																					| (311) $false
% 43.11/13.42  																																					|
% 43.11/13.42  																																					|-The branch is then unsatisfiable
% 43.11/13.42  																																			|-Branch two:
% 43.11/13.42  																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.11/13.42  																																			|
% 43.11/13.42  																																				| Applying alpha-rule on (1385) yields:
% 43.11/13.42  																																				| (1386) all_0_73_73 = e2
% 43.11/13.42  																																				| (1387)  ~ (all_0_74_74 = e0)
% 43.11/13.42  																																				|
% 43.11/13.42  																																				| Combining equations (8321,1386) yields a new equation:
% 43.11/13.42  																																				| (10159) all_0_97_97 = e2
% 43.11/13.42  																																				|
% 43.11/13.42  																																				| Simplifying 10159 yields:
% 43.11/13.42  																																				| (538) all_0_97_97 = e2
% 43.11/13.42  																																				|
% 43.11/13.42  																																				| Equations (538) can reduce 527 to:
% 43.11/13.42  																																				| (311) $false
% 43.11/13.42  																																				|
% 43.11/13.42  																																				|-The branch is then unsatisfiable
% 43.11/13.42  																																		|-Branch two:
% 43.11/13.42  																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.11/13.42  																																		|
% 43.11/13.42  																																			| Applying alpha-rule on (1391) yields:
% 43.11/13.42  																																			| (1392) all_0_75_75 = e1
% 43.11/13.42  																																			| (1393)  ~ (all_0_76_76 = e0)
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Combining equations (1966,1392) yields a new equation:
% 43.11/13.42  																																			| (813) e4 = e1
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Simplifying 813 yields:
% 43.11/13.42  																																			| (814) e4 = e1
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Equations (814) can reduce 256 to:
% 43.11/13.42  																																			| (311) $false
% 43.11/13.42  																																			|
% 43.11/13.42  																																			|-The branch is then unsatisfiable
% 43.11/13.42  																																	|-Branch two:
% 43.11/13.42  																																	| (461)  ~ (all_0_79_79 = e1)
% 43.11/13.42  																																	| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 43.11/13.42  																																	|
% 43.11/13.42  																																		+-Applying beta-rule and splitting (1623), into two cases.
% 43.11/13.42  																																		|-Branch one:
% 43.11/13.42  																																		| (457) all_0_79_79 = e1
% 43.11/13.42  																																		|
% 43.11/13.42  																																			| Equations (457) can reduce 461 to:
% 43.11/13.42  																																			| (311) $false
% 43.11/13.42  																																			|
% 43.11/13.42  																																			|-The branch is then unsatisfiable
% 43.11/13.42  																																		|-Branch two:
% 43.11/13.42  																																		| (461)  ~ (all_0_79_79 = e1)
% 43.11/13.42  																																		| (1708) all_0_79_79 = e3
% 43.11/13.42  																																		|
% 43.11/13.42  																																			| Equations (1708) can reduce 1711 to:
% 43.11/13.42  																																			| (311) $false
% 43.11/13.42  																																			|
% 43.11/13.42  																																			|-The branch is then unsatisfiable
% 43.11/13.42  																													|-Branch two:
% 43.11/13.42  																													| (436)  ~ (all_0_80_80 = e4)
% 43.11/13.42  																													| (638) all_0_81_81 = e4
% 43.11/13.42  																													|
% 43.11/13.42  																														| Combining equations (635,638) yields a new equation:
% 43.11/13.42  																														| (434) e4 = e3
% 43.11/13.42  																														|
% 43.11/13.42  																														| Equations (434) can reduce 177 to:
% 43.11/13.42  																														| (311) $false
% 43.11/13.42  																														|
% 43.11/13.42  																														|-The branch is then unsatisfiable
% 43.11/13.42  																												|-Branch two:
% 43.11/13.42  																												| (420)  ~ (all_0_81_81 = e3)
% 43.11/13.42  																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.11/13.42  																												|
% 43.11/13.42  																													+-Applying beta-rule and splitting (123), into two cases.
% 43.11/13.42  																													|-Branch one:
% 43.11/13.42  																													| (473) all_0_81_81 = e2
% 43.11/13.42  																													|
% 43.11/13.42  																														| Equations (473) can reduce 396 to:
% 43.11/13.42  																														| (311) $false
% 43.11/13.42  																														|
% 43.11/13.42  																														|-The branch is then unsatisfiable
% 43.11/13.42  																													|-Branch two:
% 43.11/13.42  																													| (396)  ~ (all_0_81_81 = e2)
% 43.11/13.42  																													| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.11/13.42  																													|
% 43.11/13.42  																														+-Applying beta-rule and splitting (476), into two cases.
% 43.11/13.42  																														|-Branch one:
% 43.11/13.42  																														| (477) all_0_81_81 = e1
% 43.11/13.42  																														|
% 43.11/13.42  																															| Equations (477) can reduce 628 to:
% 43.11/13.42  																															| (311) $false
% 43.11/13.42  																															|
% 43.11/13.42  																															|-The branch is then unsatisfiable
% 43.11/13.42  																														|-Branch two:
% 43.11/13.42  																														| (628)  ~ (all_0_81_81 = e1)
% 43.11/13.42  																														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.11/13.42  																														|
% 43.11/13.42  																															+-Applying beta-rule and splitting (629), into two cases.
% 43.11/13.42  																															|-Branch one:
% 43.11/13.42  																															| (635) all_0_81_81 = e3
% 43.11/13.42  																															|
% 43.11/13.42  																																| Equations (635) can reduce 420 to:
% 43.11/13.42  																																| (311) $false
% 43.11/13.42  																																|
% 43.11/13.42  																																|-The branch is then unsatisfiable
% 43.11/13.42  																															|-Branch two:
% 43.11/13.42  																															| (420)  ~ (all_0_81_81 = e3)
% 43.11/13.42  																															| (638) all_0_81_81 = e4
% 43.11/13.42  																															|
% 43.11/13.42  																																| Equations (638) can reduce 144 to:
% 43.11/13.42  																																| (436)  ~ (all_0_80_80 = e4)
% 43.11/13.42  																																|
% 43.11/13.42  																																| Equations (638) can reduce 420 to:
% 43.11/13.42  																																| (177)  ~ (e4 = e3)
% 43.11/13.42  																																|
% 43.11/13.42  																																| Equations (638) can reduce 257 to:
% 43.11/13.42  																																| (23)  ~ (e4 = e0)
% 43.11/13.42  																																|
% 43.11/13.42  																																+-Applying beta-rule and splitting (210), into two cases.
% 43.11/13.42  																																|-Branch one:
% 43.11/13.42  																																| (433) all_0_80_80 = e4
% 43.11/13.42  																																|
% 43.11/13.42  																																	| Equations (433) can reduce 436 to:
% 43.11/13.42  																																	| (311) $false
% 43.11/13.42  																																	|
% 43.11/13.42  																																	|-The branch is then unsatisfiable
% 43.11/13.42  																																|-Branch two:
% 43.11/13.42  																																| (436)  ~ (all_0_80_80 = e4)
% 43.11/13.42  																																| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.11/13.42  																																|
% 43.11/13.42  																																	+-Applying beta-rule and splitting (437), into two cases.
% 43.11/13.42  																																	|-Branch one:
% 43.11/13.42  																																	| (438) all_0_84_84 = e4
% 43.11/13.42  																																	|
% 43.11/13.42  																																		| Combining equations (1265,438) yields a new equation:
% 43.11/13.42  																																		| (434) e4 = e3
% 43.11/13.42  																																		|
% 43.11/13.42  																																		| Equations (434) can reduce 177 to:
% 43.11/13.42  																																		| (311) $false
% 43.11/13.42  																																		|
% 43.11/13.42  																																		|-The branch is then unsatisfiable
% 43.11/13.42  																																	|-Branch two:
% 43.11/13.42  																																	| (417)  ~ (all_0_84_84 = e4)
% 43.11/13.42  																																	| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.11/13.42  																																	|
% 43.11/13.42  																																		+-Applying beta-rule and splitting (441), into two cases.
% 43.11/13.42  																																		|-Branch one:
% 43.11/13.42  																																		| (442) all_0_92_92 = e4
% 43.11/13.42  																																		|
% 43.11/13.42  																																			| Equations (442) can reduce 49 to:
% 43.11/13.42  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Equations (442) can reduce 265 to:
% 43.11/13.42  																																			| (133)  ~ (all_0_91_91 = e4)
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Equations (442) can reduce 283 to:
% 43.11/13.42  																																			| (495)  ~ (all_0_93_93 = e4)
% 43.11/13.42  																																			|
% 43.11/13.42  																																			| Simplifying 495 yields:
% 43.11/13.42  																																			| (496)  ~ (all_0_93_93 = e4)
% 43.11/13.42  																																			|
% 43.20/13.42  																																			| Equations (442) can reduce 258 to:
% 43.20/13.42  																																			| (318)  ~ (all_0_97_97 = e4)
% 43.20/13.42  																																			|
% 43.20/13.42  																																			| Simplifying 318 yields:
% 43.20/13.42  																																			| (319)  ~ (all_0_97_97 = e4)
% 43.20/13.42  																																			|
% 43.20/13.42  																																			| Equations (442) can reduce 298 to:
% 43.20/13.42  																																			| (79)  ~ (e4 = e2)
% 43.20/13.42  																																			|
% 43.20/13.42  																																			+-Applying beta-rule and splitting (2), into two cases.
% 43.20/13.42  																																			|-Branch one:
% 43.20/13.42  																																			| (916) all_0_84_84 = e0
% 43.20/13.42  																																			|
% 43.20/13.42  																																				| Combining equations (1265,916) yields a new equation:
% 43.20/13.42  																																				| (599) e3 = e0
% 43.20/13.42  																																				|
% 43.20/13.42  																																				| Simplifying 599 yields:
% 43.20/13.42  																																				| (600) e3 = e0
% 43.20/13.42  																																				|
% 43.20/13.42  																																				| Equations (600) can reduce 50 to:
% 43.20/13.42  																																				| (311) $false
% 43.20/13.42  																																				|
% 43.20/13.42  																																				|-The branch is then unsatisfiable
% 43.20/13.42  																																			|-Branch two:
% 43.20/13.42  																																			| (919)  ~ (all_0_84_84 = e0)
% 43.20/13.42  																																			| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.20/13.42  																																			|
% 43.20/13.42  																																				| Equations (1265) can reduce 919 to:
% 43.20/13.42  																																				| (50)  ~ (e3 = e0)
% 43.20/13.42  																																				|
% 43.20/13.42  																																				+-Applying beta-rule and splitting (45), into two cases.
% 43.20/13.42  																																				|-Branch one:
% 43.20/13.42  																																				| (546) all_0_80_80 = e2
% 43.20/13.42  																																				|
% 43.20/13.42  																																					| Equations (546) can reduce 394 to:
% 43.20/13.42  																																					| (311) $false
% 43.20/13.42  																																					|
% 43.20/13.42  																																					|-The branch is then unsatisfiable
% 43.20/13.42  																																				|-Branch two:
% 43.20/13.42  																																				| (394)  ~ (all_0_80_80 = e2)
% 43.20/13.42  																																				| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.20/13.42  																																				|
% 43.20/13.42  																																					+-Applying beta-rule and splitting (920), into two cases.
% 43.20/13.42  																																					|-Branch one:
% 43.20/13.42  																																					| (861) all_0_87_87 = e0
% 43.20/13.42  																																					|
% 43.20/13.42  																																						| Combining equations (374,861) yields a new equation:
% 43.20/13.42  																																						| (923) e2 = e0
% 43.20/13.42  																																						|
% 43.20/13.42  																																						| Simplifying 923 yields:
% 43.20/13.42  																																						| (379) e2 = e0
% 43.20/13.42  																																						|
% 43.20/13.42  																																						| Equations (379) can reduce 76 to:
% 43.20/13.42  																																						| (311) $false
% 43.20/13.42  																																						|
% 43.20/13.42  																																						|-The branch is then unsatisfiable
% 43.20/13.42  																																					|-Branch two:
% 43.20/13.42  																																					| (889)  ~ (all_0_87_87 = e0)
% 43.20/13.42  																																					| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.20/13.42  																																					|
% 43.20/13.42  																																						+-Applying beta-rule and splitting (291), into two cases.
% 43.20/13.42  																																						|-Branch one:
% 43.20/13.42  																																						| (758) all_0_90_90 = e0
% 43.20/13.42  																																						|
% 43.20/13.42  																																							| Equations (758) can reduce 762 to:
% 43.20/13.42  																																							| (311) $false
% 43.20/13.42  																																							|
% 43.20/13.42  																																							|-The branch is then unsatisfiable
% 43.20/13.42  																																						|-Branch two:
% 43.20/13.42  																																						| (762)  ~ (all_0_90_90 = e0)
% 43.20/13.42  																																						| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.20/13.42  																																						|
% 43.20/13.42  																																							+-Applying beta-rule and splitting (3232), into two cases.
% 43.20/13.42  																																							|-Branch one:
% 43.20/13.42  																																							| (824) all_0_80_80 = e1
% 43.20/13.42  																																							|
% 43.20/13.42  																																								| Equations (824) can reduce 63 to:
% 43.20/13.42  																																								| (461)  ~ (all_0_79_79 = e1)
% 43.20/13.42  																																								|
% 43.20/13.42  																																								| Equations (824) can reduce 202 to:
% 43.20/13.42  																																								| (485)  ~ (all_0_97_97 = e1)
% 43.20/13.42  																																								|
% 43.20/13.42  																																								| Simplifying 485 yields:
% 43.20/13.42  																																								| (486)  ~ (all_0_97_97 = e1)
% 43.20/13.42  																																								|
% 43.20/13.42  																																								+-Applying beta-rule and splitting (4488), into two cases.
% 43.20/13.42  																																								|-Branch one:
% 43.20/13.42  																																								| (804) all_0_85_85 = e3
% 43.20/13.42  																																								|
% 43.20/13.42  																																									| Combining equations (954,804) yields a new equation:
% 43.20/13.42  																																									| (600) e3 = e0
% 43.20/13.42  																																									|
% 43.20/13.42  																																									| Equations (600) can reduce 50 to:
% 43.20/13.42  																																									| (311) $false
% 43.20/13.42  																																									|
% 43.20/13.42  																																									|-The branch is then unsatisfiable
% 43.20/13.42  																																								|-Branch two:
% 43.20/13.42  																																								| (952)  ~ (all_0_85_85 = e3)
% 43.20/13.42  																																								| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.20/13.42  																																								|
% 43.20/13.42  																																									+-Applying beta-rule and splitting (931), into two cases.
% 43.20/13.42  																																									|-Branch one:
% 43.20/13.42  																																									| (942) all_0_92_92 = e0
% 43.20/13.42  																																									|
% 43.20/13.42  																																										| Combining equations (442,942) yields a new equation:
% 43.20/13.42  																																										| (911) e4 = e0
% 43.20/13.42  																																										|
% 43.20/13.42  																																										| Simplifying 911 yields:
% 43.20/13.42  																																										| (912) e4 = e0
% 43.20/13.42  																																										|
% 43.20/13.42  																																										| Equations (912) can reduce 23 to:
% 43.20/13.42  																																										| (311) $false
% 43.20/13.42  																																										|
% 43.20/13.42  																																										|-The branch is then unsatisfiable
% 43.20/13.42  																																									|-Branch two:
% 43.20/13.42  																																									| (946)  ~ (all_0_92_92 = e0)
% 43.20/13.42  																																									| (560) all_0_97_97 = e0
% 43.20/13.42  																																									|
% 43.20/13.42  																																										| Equations (560) can reduce 319 to:
% 43.20/13.42  																																										| (904)  ~ (e4 = e0)
% 43.20/13.42  																																										|
% 43.20/13.42  																																										| Simplifying 904 yields:
% 43.20/13.42  																																										| (23)  ~ (e4 = e0)
% 43.20/13.42  																																										|
% 43.20/13.42  																																										| Equations (560) can reduce 486 to:
% 43.20/13.42  																																										| (859)  ~ (e1 = e0)
% 43.20/13.42  																																										|
% 43.20/13.42  																																										| Simplifying 859 yields:
% 43.20/13.42  																																										| (264)  ~ (e1 = e0)
% 43.20/13.42  																																										|
% 43.20/13.42  																																										+-Applying beta-rule and splitting (1455), into two cases.
% 43.20/13.42  																																										|-Branch one:
% 43.20/13.43  																																										| (1456) all_0_91_91 = e0
% 43.20/13.43  																																										|
% 43.20/13.43  																																											| Equations (1456) can reduce 17 to:
% 43.20/13.43  																																											| (9)  ~ (all_0_79_79 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Equations (1456) can reduce 103 to:
% 43.20/13.43  																																											| (762)  ~ (all_0_90_90 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Equations (1456) can reduce 44 to:
% 43.20/13.43  																																											| (508)  ~ (all_0_93_93 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Simplifying 508 yields:
% 43.20/13.43  																																											| (509)  ~ (all_0_93_93 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Equations (1456) can reduce 64 to:
% 43.20/13.43  																																											| (2296)  ~ (all_0_96_96 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Simplifying 2296 yields:
% 43.20/13.43  																																											| (2095)  ~ (all_0_96_96 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Equations (1456) can reduce 133 to:
% 43.20/13.43  																																											| (904)  ~ (e4 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Simplifying 904 yields:
% 43.20/13.43  																																											| (23)  ~ (e4 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Equations (1456) can reduce 296 to:
% 43.20/13.43  																																											| (510)  ~ (e2 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											| Simplifying 510 yields:
% 43.20/13.43  																																											| (76)  ~ (e2 = e0)
% 43.20/13.43  																																											|
% 43.20/13.43  																																											+-Applying beta-rule and splitting (127), into two cases.
% 43.20/13.43  																																											|-Branch one:
% 43.20/13.43  																																											| (457) all_0_79_79 = e1
% 43.20/13.43  																																											|
% 43.20/13.43  																																												| Equations (457) can reduce 461 to:
% 43.20/13.43  																																												| (311) $false
% 43.20/13.43  																																												|
% 43.20/13.43  																																												|-The branch is then unsatisfiable
% 43.20/13.43  																																											|-Branch two:
% 43.20/13.43  																																											| (461)  ~ (all_0_79_79 = e1)
% 43.20/13.43  																																											| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.20/13.43  																																											|
% 43.20/13.43  																																												+-Applying beta-rule and splitting (4559), into two cases.
% 43.20/13.43  																																												|-Branch one:
% 43.20/13.43  																																												| (570) all_0_93_93 = e3
% 43.20/13.43  																																												|
% 43.20/13.43  																																													| Equations (570) can reduce 34 to:
% 43.20/13.43  																																													| (745)  ~ (all_0_90_90 = e3)
% 43.20/13.43  																																													|
% 43.20/13.43  																																													| Equations (570) can reduce 496 to:
% 43.20/13.43  																																													| (783)  ~ (e4 = e3)
% 43.20/13.43  																																													|
% 43.20/13.43  																																													| Simplifying 783 yields:
% 43.20/13.43  																																													| (177)  ~ (e4 = e3)
% 43.20/13.43  																																													|
% 43.20/13.43  																																													| Equations (570) can reduce 300 to:
% 43.20/13.43  																																													| (169)  ~ (e3 = e2)
% 43.20/13.43  																																													|
% 43.20/13.43  																																													| Equations (570) can reduce 509 to:
% 43.20/13.43  																																													| (50)  ~ (e3 = e0)
% 43.20/13.43  																																													|
% 43.20/13.43  																																													+-Applying beta-rule and splitting (220), into two cases.
% 43.20/13.43  																																													|-Branch one:
% 43.20/13.43  																																													| (771) all_0_78_78 = e3
% 43.20/13.43  																																													|
% 43.20/13.43  																																														| Combining equations (400,771) yields a new equation:
% 43.20/13.43  																																														| (548) e3 = e2
% 43.20/13.43  																																														|
% 43.20/13.43  																																														| Equations (548) can reduce 169 to:
% 43.20/13.43  																																														| (311) $false
% 43.20/13.43  																																														|
% 43.20/13.43  																																														|-The branch is then unsatisfiable
% 43.20/13.43  																																													|-Branch two:
% 43.20/13.43  																																													| (418)  ~ (all_0_78_78 = e3)
% 43.20/13.43  																																													| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.20/13.43  																																													|
% 43.20/13.43  																																														| Equations (400) can reduce 418 to:
% 43.20/13.43  																																														| (356)  ~ (e3 = e2)
% 43.20/13.43  																																														|
% 43.20/13.43  																																														| Simplifying 356 yields:
% 43.20/13.43  																																														| (169)  ~ (e3 = e2)
% 43.20/13.43  																																														|
% 43.20/13.43  																																														+-Applying beta-rule and splitting (132), into two cases.
% 43.20/13.43  																																														|-Branch one:
% 43.20/13.43  																																														| (750) all_0_90_90 = e1
% 43.20/13.43  																																														|
% 43.20/13.43  																																															| Equations (750) can reduce 229 to:
% 43.20/13.43  																																															| (679)  ~ (all_0_95_95 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Simplifying 679 yields:
% 43.20/13.43  																																															| (680)  ~ (all_0_95_95 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Equations (750) can reduce 745 to:
% 43.20/13.43  																																															| (683)  ~ (e3 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Simplifying 683 yields:
% 43.20/13.43  																																															| (20)  ~ (e3 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Equations (750) can reduce 294 to:
% 43.20/13.43  																																															| (487)  ~ (e2 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Simplifying 487 yields:
% 43.20/13.43  																																															| (243)  ~ (e2 = e1)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| Equations (750) can reduce 762 to:
% 43.20/13.43  																																															| (264)  ~ (e1 = e0)
% 43.20/13.43  																																															|
% 43.20/13.43  																																															| From (750) and (217) follows:
% 43.20/13.43  																																															| (10289) op(e3, e1) = all_0_48_48
% 43.20/13.43  																																															|
% 43.20/13.43  																																															+-Applying beta-rule and splitting (176), into two cases.
% 43.20/13.43  																																															|-Branch one:
% 43.20/13.43  																																															| (785) all_0_95_95 = e1
% 43.20/13.43  																																															|
% 43.20/13.43  																																																| Equations (785) can reduce 680 to:
% 43.20/13.43  																																																| (311) $false
% 43.20/13.43  																																																|
% 43.20/13.43  																																																|-The branch is then unsatisfiable
% 43.20/13.43  																																															|-Branch two:
% 43.20/13.43  																																															| (680)  ~ (all_0_95_95 = e1)
% 43.20/13.43  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.20/13.43  																																															|
% 43.20/13.43  																																																+-Applying beta-rule and splitting (788), into two cases.
% 43.20/13.43  																																																|-Branch one:
% 43.20/13.43  																																																| (960) all_0_96_96 = e1
% 43.20/13.43  																																																|
% 43.20/13.43  																																																	| Equations (960) can reduce 214 to:
% 43.20/13.43  																																																	| (461)  ~ (all_0_79_79 = e1)
% 43.20/13.43  																																																	|
% 43.20/13.43  																																																	+-Applying beta-rule and splitting (270), into two cases.
% 43.20/13.43  																																																	|-Branch one:
% 43.20/13.43  																																																	| (744) all_0_95_95 = e3
% 43.20/13.43  																																																	|
% 43.20/13.43  																																																		| From (744) and (121) follows:
% 43.20/13.43  																																																		| (10297) op(e3, e3) = all_0_50_50
% 43.20/13.43  																																																		|
% 43.20/13.43  																																																		+-Applying beta-rule and splitting (1623), into two cases.
% 43.20/13.43  																																																		|-Branch one:
% 43.20/13.43  																																																		| (457) all_0_79_79 = e1
% 43.20/13.43  																																																		|
% 43.20/13.43  																																																			| Equations (457) can reduce 461 to:
% 43.20/13.43  																																																			| (311) $false
% 43.20/13.43  																																																			|
% 43.20/13.43  																																																			|-The branch is then unsatisfiable
% 43.20/13.43  																																																		|-Branch two:
% 43.20/13.43  																																																		| (461)  ~ (all_0_79_79 = e1)
% 43.20/13.43  																																																		| (1708) all_0_79_79 = e3
% 43.20/13.43  																																																		|
% 43.20/13.43  																																																			| Equations (1708) can reduce 461 to:
% 43.20/13.43  																																																			| (20)  ~ (e3 = e1)
% 43.20/13.43  																																																			|
% 43.20/13.43  																																																			| Instantiating formula (262) with e3, e3, all_0_50_50, e4 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e4, yields:
% 43.20/13.43  																																																			| (10303) all_0_50_50 = e4
% 43.20/13.43  																																																			|
% 43.20/13.43  																																																			| Instantiating formula (262) with e3, e1, all_0_48_48, e3 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = e3, yields:
% 43.20/13.43  																																																			| (10304) all_0_48_48 = e3
% 43.20/13.43  																																																			|
% 43.20/13.43  																																																			+-Applying beta-rule and splitting (186), into two cases.
% 43.20/13.43  																																																			|-Branch one:
% 43.20/13.43  																																																			| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.20/13.43  																																																			|
% 43.20/13.43  																																																				+-Applying beta-rule and splitting (726), into two cases.
% 43.20/13.43  																																																				|-Branch one:
% 43.20/13.43  																																																				| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.20/13.43  																																																				|
% 43.20/13.43  																																																					+-Applying beta-rule and splitting (727), into two cases.
% 43.20/13.43  																																																					|-Branch one:
% 43.20/13.43  																																																					| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.20/13.43  																																																					|
% 43.20/13.43  																																																						| Applying alpha-rule on (728) yields:
% 43.20/13.43  																																																						| (729) all_0_43_43 = e4
% 43.20/13.43  																																																						| (730)  ~ (all_0_44_44 = e3)
% 43.20/13.43  																																																						|
% 43.20/13.43  																																																						| Combining equations (729,689) yields a new equation:
% 43.20/13.43  																																																						| (309) e4 = e2
% 43.20/13.43  																																																						|
% 43.20/13.43  																																																						| Simplifying 309 yields:
% 43.20/13.43  																																																						| (310) e4 = e2
% 43.20/13.43  																																																						|
% 43.20/13.43  																																																						| Equations (310) can reduce 79 to:
% 43.20/13.43  																																																						| (311) $false
% 43.20/13.43  																																																						|
% 43.20/13.43  																																																						|-The branch is then unsatisfiable
% 43.20/13.43  																																																					|-Branch two:
% 43.20/13.43  																																																					| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.20/13.43  																																																					|
% 43.20/13.43  																																																						| Applying alpha-rule on (734) yields:
% 43.20/13.43  																																																						| (735) all_0_46_46 = e2
% 43.20/13.43  																																																						| (736)  ~ (all_0_47_47 = e3)
% 43.20/13.43  																																																						|
% 43.22/13.43  																																																						| Combining equations (735,10066) yields a new equation:
% 43.22/13.43  																																																						| (923) e2 = e0
% 43.22/13.43  																																																						|
% 43.22/13.43  																																																						| Simplifying 923 yields:
% 43.22/13.43  																																																						| (379) e2 = e0
% 43.22/13.43  																																																						|
% 43.22/13.43  																																																						| Equations (379) can reduce 76 to:
% 43.22/13.43  																																																						| (311) $false
% 43.22/13.43  																																																						|
% 43.22/13.43  																																																						|-The branch is then unsatisfiable
% 43.22/13.43  																																																				|-Branch two:
% 43.22/13.43  																																																				| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																					| Applying alpha-rule on (740) yields:
% 43.22/13.43  																																																					| (741) all_0_48_48 = e1
% 43.22/13.43  																																																					| (742)  ~ (all_0_49_49 = e3)
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Combining equations (741,10304) yields a new equation:
% 43.22/13.43  																																																					| (772) e3 = e1
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Equations (772) can reduce 20 to:
% 43.22/13.43  																																																					| (311) $false
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					|-The branch is then unsatisfiable
% 43.22/13.43  																																																			|-Branch two:
% 43.22/13.43  																																																			| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																				| Applying alpha-rule on (973) yields:
% 43.22/13.43  																																																				| (974) all_0_50_50 = e0
% 43.22/13.43  																																																				| (975)  ~ (all_0_51_51 = e3)
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				| Combining equations (10303,974) yields a new equation:
% 43.22/13.43  																																																				| (911) e4 = e0
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				| Simplifying 911 yields:
% 43.22/13.43  																																																				| (912) e4 = e0
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				| Equations (912) can reduce 23 to:
% 43.22/13.43  																																																				| (311) $false
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				|-The branch is then unsatisfiable
% 43.22/13.43  																																																	|-Branch two:
% 43.22/13.43  																																																	| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.43  																																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.43  																																																	|
% 43.22/13.43  																																																		+-Applying beta-rule and splitting (285), into two cases.
% 43.22/13.43  																																																		|-Branch one:
% 43.22/13.43  																																																		| (1708) all_0_79_79 = e3
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																			| Equations (1708) can reduce 1622 to:
% 43.22/13.43  																																																			| (169)  ~ (e3 = e2)
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																			| Equations (1708) can reduce 461 to:
% 43.22/13.43  																																																			| (20)  ~ (e3 = e1)
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																			| Equations (1708) can reduce 9 to:
% 43.22/13.43  																																																			| (50)  ~ (e3 = e0)
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																			+-Applying beta-rule and splitting (766), into two cases.
% 43.22/13.43  																																																			|-Branch one:
% 43.22/13.43  																																																			| (778) all_0_96_96 = e3
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																				| Combining equations (960,778) yields a new equation:
% 43.22/13.43  																																																				| (772) e3 = e1
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				| Equations (772) can reduce 20 to:
% 43.22/13.43  																																																				| (311) $false
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				|-The branch is then unsatisfiable
% 43.22/13.43  																																																			|-Branch two:
% 43.22/13.43  																																																			| (964)  ~ (all_0_96_96 = e3)
% 43.22/13.43  																																																			| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																				+-Applying beta-rule and splitting (965), into two cases.
% 43.22/13.43  																																																				|-Branch one:
% 43.22/13.43  																																																				| (556) all_0_97_97 = e3
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																					| Combining equations (560,556) yields a new equation:
% 43.22/13.43  																																																					| (600) e3 = e0
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Equations (600) can reduce 50 to:
% 43.22/13.43  																																																					| (311) $false
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					|-The branch is then unsatisfiable
% 43.22/13.43  																																																				|-Branch two:
% 43.22/13.43  																																																				| (428)  ~ (all_0_97_97 = e3)
% 43.22/13.43  																																																				| (969) all_0_98_98 = e3
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																					| Combining equations (525,969) yields a new equation:
% 43.22/13.43  																																																					| (548) e3 = e2
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Equations (548) can reduce 169 to:
% 43.22/13.43  																																																					| (311) $false
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					|-The branch is then unsatisfiable
% 43.22/13.43  																																																		|-Branch two:
% 43.22/13.43  																																																		| (1711)  ~ (all_0_79_79 = e3)
% 43.22/13.43  																																																		| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																			+-Applying beta-rule and splitting (1712), into two cases.
% 43.22/13.43  																																																			|-Branch one:
% 43.22/13.43  																																																			| (795) all_0_83_83 = e3
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																				| Combining equations (453,795) yields a new equation:
% 43.22/13.43  																																																				| (548) e3 = e2
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				| Equations (548) can reduce 169 to:
% 43.22/13.43  																																																				| (311) $false
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																				|-The branch is then unsatisfiable
% 43.22/13.43  																																																			|-Branch two:
% 43.22/13.43  																																																			| (779)  ~ (all_0_83_83 = e3)
% 43.22/13.43  																																																			| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 43.22/13.43  																																																			|
% 43.22/13.43  																																																				+-Applying beta-rule and splitting (1842), into two cases.
% 43.22/13.43  																																																				|-Branch one:
% 43.22/13.43  																																																				| (588) all_0_91_91 = e3
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																					| Combining equations (1456,588) yields a new equation:
% 43.22/13.43  																																																					| (600) e3 = e0
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Equations (600) can reduce 50 to:
% 43.22/13.43  																																																					| (311) $false
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					|-The branch is then unsatisfiable
% 43.22/13.43  																																																				|-Branch two:
% 43.22/13.43  																																																				| (571)  ~ (all_0_91_91 = e3)
% 43.22/13.43  																																																				| (778) all_0_96_96 = e3
% 43.22/13.43  																																																				|
% 43.22/13.43  																																																					| Combining equations (960,778) yields a new equation:
% 43.22/13.43  																																																					| (772) e3 = e1
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					| Equations (772) can reduce 20 to:
% 43.22/13.43  																																																					| (311) $false
% 43.22/13.43  																																																					|
% 43.22/13.43  																																																					|-The branch is then unsatisfiable
% 43.22/13.43  																																																|-Branch two:
% 43.22/13.43  																																																| (1479)  ~ (all_0_96_96 = e1)
% 43.22/13.43  																																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.22/13.43  																																																|
% 43.22/13.43  																																																	+-Applying beta-rule and splitting (2126), into two cases.
% 43.22/13.43  																																																	|-Branch one:
% 43.22/13.43  																																																	| (542) all_0_97_97 = e1
% 43.22/13.43  																																																	|
% 43.22/13.43  																																																		| Combining equations (560,542) yields a new equation:
% 43.22/13.43  																																																		| (865) e1 = e0
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																		| Equations (865) can reduce 264 to:
% 43.22/13.43  																																																		| (311) $false
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																		|-The branch is then unsatisfiable
% 43.22/13.43  																																																	|-Branch two:
% 43.22/13.43  																																																	| (486)  ~ (all_0_97_97 = e1)
% 43.22/13.43  																																																	| (1543) all_0_98_98 = e1
% 43.22/13.43  																																																	|
% 43.22/13.43  																																																		| Combining equations (1543,525) yields a new equation:
% 43.22/13.43  																																																		| (385) e2 = e1
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																		| Equations (385) can reduce 243 to:
% 43.22/13.43  																																																		| (311) $false
% 43.22/13.43  																																																		|
% 43.22/13.43  																																																		|-The branch is then unsatisfiable
% 43.22/13.43  																																														|-Branch two:
% 43.22/13.43  																																														| (678)  ~ (all_0_90_90 = e1)
% 43.22/13.43  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.22/13.43  																																														|
% 43.22/13.43  																																															+-Applying beta-rule and splitting (462), into two cases.
% 43.22/13.43  																																															|-Branch one:
% 43.22/13.43  																																															| (801) all_0_91_91 = e1
% 43.22/13.43  																																															|
% 43.22/13.43  																																																| Combining equations (1456,801) yields a new equation:
% 43.22/13.43  																																																| (865) e1 = e0
% 43.22/13.43  																																																|
% 43.22/13.43  																																																| Equations (865) can reduce 264 to:
% 43.22/13.43  																																																| (311) $false
% 43.22/13.43  																																																|
% 43.22/13.43  																																																|-The branch is then unsatisfiable
% 43.22/13.43  																																															|-Branch two:
% 43.22/13.43  																																															| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.43  																																															| (960) all_0_96_96 = e1
% 43.22/13.43  																																															|
% 43.22/13.43  																																																| Equations (960) can reduce 279 to:
% 43.22/13.43  																																																| (680)  ~ (all_0_95_95 = e1)
% 43.22/13.43  																																																|
% 43.22/13.43  																																																| Equations (960) can reduce 115 to:
% 43.22/13.43  																																																| (681)  ~ (e4 = e1)
% 43.22/13.43  																																																|
% 43.22/13.43  																																																| Simplifying 681 yields:
% 43.22/13.43  																																																| (256)  ~ (e4 = e1)
% 43.22/13.43  																																																|
% 43.22/13.43  																																																| Equations (960) can reduce 2095 to:
% 43.22/13.43  																																																| (264)  ~ (e1 = e0)
% 43.22/13.43  																																																|
% 43.22/13.43  																																																+-Applying beta-rule and splitting (775), into two cases.
% 43.22/13.43  																																																|-Branch one:
% 43.22/13.43  																																																| (789) all_0_82_82 = e3
% 43.22/13.43  																																																|
% 43.22/13.43  																																																	| Combining equations (469,789) yields a new equation:
% 43.22/13.43  																																																	| (790) e4 = e3
% 43.22/13.43  																																																	|
% 43.22/13.43  																																																	| Simplifying 790 yields:
% 43.22/13.43  																																																	| (434) e4 = e3
% 43.22/13.43  																																																	|
% 43.22/13.44  																																																	| Equations (434) can reduce 177 to:
% 43.22/13.44  																																																	| (311) $false
% 43.22/13.44  																																																	|
% 43.22/13.44  																																																	|-The branch is then unsatisfiable
% 43.22/13.44  																																																|-Branch two:
% 43.22/13.44  																																																| (793)  ~ (all_0_82_82 = e3)
% 43.22/13.44  																																																| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.22/13.44  																																																|
% 43.22/13.44  																																																	+-Applying beta-rule and splitting (1526), into two cases.
% 43.22/13.44  																																																	|-Branch one:
% 43.22/13.44  																																																	| (801) all_0_91_91 = e1
% 43.22/13.44  																																																	|
% 43.22/13.44  																																																		| Combining equations (1456,801) yields a new equation:
% 43.22/13.44  																																																		| (865) e1 = e0
% 43.22/13.44  																																																		|
% 43.22/13.44  																																																		| Equations (865) can reduce 264 to:
% 43.22/13.44  																																																		| (311) $false
% 43.22/13.44  																																																		|
% 43.22/13.44  																																																		|-The branch is then unsatisfiable
% 43.22/13.44  																																																	|-Branch two:
% 43.22/13.44  																																																	| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.44  																																																	| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.22/13.44  																																																	|
% 43.22/13.44  																																																		+-Applying beta-rule and splitting (794), into two cases.
% 43.22/13.44  																																																		|-Branch one:
% 43.22/13.44  																																																		| (754) all_0_90_90 = e3
% 43.22/13.44  																																																		|
% 43.22/13.44  																																																			| Equations (754) can reduce 745 to:
% 43.22/13.44  																																																			| (311) $false
% 43.22/13.44  																																																			|
% 43.22/13.44  																																																			|-The branch is then unsatisfiable
% 43.22/13.44  																																																		|-Branch two:
% 43.22/13.44  																																																		| (745)  ~ (all_0_90_90 = e3)
% 43.22/13.44  																																																		| (744) all_0_95_95 = e3
% 43.22/13.44  																																																		|
% 43.22/13.44  																																																			| Equations (744) can reduce 680 to:
% 43.22/13.44  																																																			| (20)  ~ (e3 = e1)
% 43.22/13.44  																																																			|
% 43.22/13.44  																																																			+-Applying beta-rule and splitting (1556), into two cases.
% 43.22/13.44  																																																			|-Branch one:
% 43.22/13.44  																																																			| (836) all_0_92_92 = e1
% 43.22/13.44  																																																			|
% 43.22/13.44  																																																				| Combining equations (836,442) yields a new equation:
% 43.22/13.44  																																																				| (814) e4 = e1
% 43.22/13.44  																																																				|
% 43.22/13.44  																																																				| Equations (814) can reduce 256 to:
% 43.22/13.44  																																																				| (311) $false
% 43.22/13.44  																																																				|
% 43.22/13.44  																																																				|-The branch is then unsatisfiable
% 43.22/13.44  																																																			|-Branch two:
% 43.22/13.44  																																																			| (840)  ~ (all_0_92_92 = e1)
% 43.22/13.44  																																																			| (566) all_0_93_93 = e1
% 43.22/13.44  																																																			|
% 43.22/13.44  																																																				| Combining equations (570,566) yields a new equation:
% 43.22/13.44  																																																				| (825) e3 = e1
% 43.22/13.44  																																																				|
% 43.22/13.44  																																																				| Simplifying 825 yields:
% 43.22/13.44  																																																				| (772) e3 = e1
% 43.22/13.44  																																																				|
% 43.22/13.44  																																																				| Equations (772) can reduce 20 to:
% 43.22/13.44  																																																				| (311) $false
% 43.22/13.44  																																																				|
% 43.22/13.44  																																																				|-The branch is then unsatisfiable
% 43.22/13.44  																																												|-Branch two:
% 43.22/13.44  																																												| (602)  ~ (all_0_93_93 = e3)
% 43.22/13.44  																																												| (969) all_0_98_98 = e3
% 43.22/13.44  																																												|
% 43.22/13.44  																																													| Combining equations (525,969) yields a new equation:
% 43.22/13.44  																																													| (548) e3 = e2
% 43.22/13.44  																																													|
% 43.22/13.44  																																													| Equations (548) can reduce 169 to:
% 43.22/13.44  																																													| (311) $false
% 43.22/13.44  																																													|
% 43.22/13.44  																																													|-The branch is then unsatisfiable
% 43.22/13.44  																																										|-Branch two:
% 43.22/13.44  																																										| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.44  																																										| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 43.22/13.44  																																										|
% 43.22/13.44  																																											+-Applying beta-rule and splitting (1488), into two cases.
% 43.22/13.44  																																											|-Branch one:
% 43.22/13.44  																																											| (942) all_0_92_92 = e0
% 43.22/13.44  																																											|
% 43.22/13.44  																																												| Combining equations (942,442) yields a new equation:
% 43.22/13.44  																																												| (912) e4 = e0
% 43.22/13.44  																																												|
% 43.22/13.44  																																												| Equations (912) can reduce 23 to:
% 43.22/13.44  																																												| (311) $false
% 43.22/13.44  																																												|
% 43.22/13.44  																																												|-The branch is then unsatisfiable
% 43.22/13.44  																																											|-Branch two:
% 43.22/13.44  																																											| (946)  ~ (all_0_92_92 = e0)
% 43.22/13.44  																																											| (604) all_0_93_93 = e0
% 43.22/13.44  																																											|
% 43.22/13.44  																																												| Equations (604) can reduce 509 to:
% 43.22/13.44  																																												| (311) $false
% 43.22/13.44  																																												|
% 43.22/13.44  																																												|-The branch is then unsatisfiable
% 43.22/13.44  																																							|-Branch two:
% 43.22/13.44  																																							| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.44  																																							| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.22/13.44  																																							|
% 43.22/13.44  																																								+-Applying beta-rule and splitting (4018), into two cases.
% 43.22/13.44  																																								|-Branch one:
% 43.22/13.44  																																								| (416) all_0_80_80 = e3
% 43.22/13.44  																																								|
% 43.22/13.44  																																									| Equations (416) can reduce 2347 to:
% 43.22/13.44  																																									| (311) $false
% 43.22/13.44  																																									|
% 43.22/13.44  																																									|-The branch is then unsatisfiable
% 43.22/13.44  																																								|-Branch two:
% 43.22/13.44  																																								| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.44  																																								| (433) all_0_80_80 = e4
% 43.22/13.44  																																								|
% 43.22/13.44  																																									| Equations (433) can reduce 436 to:
% 43.22/13.44  																																									| (311) $false
% 43.22/13.44  																																									|
% 43.22/13.44  																																									|-The branch is then unsatisfiable
% 43.22/13.44  																																		|-Branch two:
% 43.22/13.44  																																		| (1619)  ~ (all_0_92_92 = e4)
% 43.22/13.44  																																		| (610) all_0_97_97 = e4
% 43.22/13.44  																																		|
% 43.22/13.44  																																			| Equations (610) can reduce 319 to:
% 43.22/13.44  																																			| (311) $false
% 43.22/13.44  																																			|
% 43.22/13.44  																																			|-The branch is then unsatisfiable
% 43.22/13.44  																									|-Branch two:
% 43.22/13.44  																									| (422)  ~ (all_0_84_84 = e3)
% 43.22/13.44  																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.22/13.44  																									|
% 43.22/13.44  																										+-Applying beta-rule and splitting (1268), into two cases.
% 43.22/13.44  																										|-Branch one:
% 43.22/13.44  																										| (916) all_0_84_84 = e0
% 43.22/13.44  																										|
% 43.22/13.44  																											| Equations (916) can reduce 919 to:
% 43.22/13.44  																											| (311) $false
% 43.22/13.44  																											|
% 43.22/13.44  																											|-The branch is then unsatisfiable
% 43.22/13.44  																										|-Branch two:
% 43.22/13.44  																										| (919)  ~ (all_0_84_84 = e0)
% 43.22/13.44  																										| (438) all_0_84_84 = e4
% 43.22/13.44  																										|
% 43.22/13.44  																											| Equations (438) can reduce 417 to:
% 43.22/13.44  																											| (311) $false
% 43.22/13.44  																											|
% 43.22/13.44  																											|-The branch is then unsatisfiable
% 43.22/13.44  																							|-Branch two:
% 43.22/13.44  																							| (465)  ~ (all_0_82_82 = e4)
% 43.22/13.44  																							| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.22/13.44  																							|
% 43.22/13.44  																								+-Applying beta-rule and splitting (472), into two cases.
% 43.22/13.44  																								|-Branch one:
% 43.22/13.44  																								| (438) all_0_84_84 = e4
% 43.22/13.44  																								|
% 43.22/13.44  																									| Equations (438) can reduce 273 to:
% 43.22/13.44  																									| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.44  																									|
% 43.22/13.44  																									| Equations (438) can reduce 87 to:
% 43.22/13.44  																									| (1906)  ~ (all_0_92_92 = e4)
% 43.22/13.44  																									|
% 43.22/13.44  																									| Simplifying 1906 yields:
% 43.22/13.44  																									| (1619)  ~ (all_0_92_92 = e4)
% 43.22/13.44  																									|
% 43.22/13.44  																									| From (438) and (150) follows:
% 43.22/13.44  																									| (10441) op(e3, e4) = all_0_63_63
% 43.22/13.44  																									|
% 43.22/13.44  																									| From (438) and (122) follows:
% 43.22/13.44  																									| (9102) op(e1, e4) = all_0_62_62
% 43.22/13.44  																									|
% 43.22/13.44  																									+-Applying beta-rule and splitting (171), into two cases.
% 43.22/13.44  																									|-Branch one:
% 43.22/13.44  																									| (789) all_0_82_82 = e3
% 43.22/13.44  																									|
% 43.22/13.44  																										| Equations (789) can reduce 200 to:
% 43.22/13.44  																										| (1070)  ~ (all_0_95_95 = e3)
% 43.22/13.44  																										|
% 43.22/13.44  																										| Simplifying 1070 yields:
% 43.22/13.44  																										| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.44  																										|
% 43.22/13.44  																										+-Applying beta-rule and splitting (99), into two cases.
% 43.22/13.44  																										|-Branch one:
% 43.22/13.44  																										| (767) all_0_95_95 = e2
% 43.22/13.44  																										|
% 43.22/13.44  																											| Equations (767) can reduce 355 to:
% 43.22/13.44  																											| (311) $false
% 43.22/13.44  																											|
% 43.22/13.44  																											|-The branch is then unsatisfiable
% 43.22/13.44  																										|-Branch two:
% 43.22/13.44  																										| (355)  ~ (all_0_95_95 = e2)
% 43.22/13.44  																										| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.22/13.44  																										|
% 43.22/13.44  																											+-Applying beta-rule and splitting (641), into two cases.
% 43.22/13.44  																											|-Branch one:
% 43.22/13.44  																											| (433) all_0_80_80 = e4
% 43.22/13.44  																											|
% 43.22/13.44  																												| Equations (433) can reduce 436 to:
% 43.22/13.44  																												| (311) $false
% 43.22/13.44  																												|
% 43.22/13.44  																												|-The branch is then unsatisfiable
% 43.22/13.44  																											|-Branch two:
% 43.22/13.44  																											| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.44  																											| (638) all_0_81_81 = e4
% 43.22/13.44  																											|
% 43.22/13.44  																												| Equations (638) can reduce 15 to:
% 43.22/13.44  																												| (235)  ~ (all_0_79_79 = e4)
% 43.22/13.44  																												|
% 43.22/13.44  																												| Equations (638) can reduce 144 to:
% 43.22/13.44  																												| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.44  																												|
% 43.22/13.44  																												| Equations (638) can reduce 277 to:
% 43.22/13.44  																												| (495)  ~ (all_0_93_93 = e4)
% 43.22/13.44  																												|
% 43.22/13.44  																												| Simplifying 495 yields:
% 43.22/13.44  																												| (496)  ~ (all_0_93_93 = e4)
% 43.22/13.44  																												|
% 43.22/13.44  																												| Equations (638) can reduce 396 to:
% 43.22/13.44  																												| (79)  ~ (e4 = e2)
% 43.22/13.44  																												|
% 43.22/13.44  																												+-Applying beta-rule and splitting (65), into two cases.
% 43.22/13.44  																												|-Branch one:
% 43.22/13.44  																												| (522) all_0_93_93 = e2
% 43.22/13.44  																												|
% 43.22/13.44  																													| Equations (522) can reduce 300 to:
% 43.22/13.44  																													| (311) $false
% 43.22/13.44  																													|
% 43.22/13.44  																													|-The branch is then unsatisfiable
% 43.22/13.44  																												|-Branch two:
% 43.22/13.44  																												| (300)  ~ (all_0_93_93 = e2)
% 43.22/13.44  																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 43.22/13.44  																												|
% 43.22/13.44  																													+-Applying beta-rule and splitting (4), into two cases.
% 43.22/13.44  																													|-Branch one:
% 43.22/13.44  																													| (463) all_0_78_78 = e4
% 43.22/13.44  																													|
% 43.22/13.44  																														| Combining equations (400,463) yields a new equation:
% 43.22/13.44  																														| (310) e4 = e2
% 43.22/13.44  																														|
% 43.22/13.44  																														| Equations (310) can reduce 79 to:
% 43.22/13.44  																														| (311) $false
% 43.22/13.44  																														|
% 43.22/13.44  																														|-The branch is then unsatisfiable
% 43.22/13.44  																													|-Branch two:
% 43.22/13.44  																													| (640)  ~ (all_0_78_78 = e4)
% 43.22/13.44  																													| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 43.22/13.44  																													|
% 43.22/13.44  																														| Equations (400) can reduce 640 to:
% 43.22/13.44  																														| (528)  ~ (e4 = e2)
% 43.22/13.44  																														|
% 43.22/13.44  																														| Simplifying 528 yields:
% 43.22/13.44  																														| (79)  ~ (e4 = e2)
% 43.22/13.44  																														|
% 43.22/13.44  																														+-Applying beta-rule and splitting (46), into two cases.
% 43.22/13.44  																														|-Branch one:
% 43.22/13.44  																														| (308) all_0_89_89 = e4
% 43.22/13.44  																														|
% 43.22/13.44  																															| Combining equations (308,292) yields a new equation:
% 43.22/13.44  																															| (309) e4 = e2
% 43.22/13.44  																															|
% 43.22/13.44  																															| Simplifying 309 yields:
% 43.22/13.44  																															| (310) e4 = e2
% 43.22/13.44  																															|
% 43.22/13.44  																															| Equations (310) can reduce 79 to:
% 43.22/13.44  																															| (311) $false
% 43.22/13.44  																															|
% 43.22/13.44  																															|-The branch is then unsatisfiable
% 43.22/13.44  																														|-Branch two:
% 43.22/13.44  																														| (312)  ~ (all_0_89_89 = e4)
% 43.22/13.44  																														| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.22/13.44  																														|
% 43.22/13.44  																															+-Applying beta-rule and splitting (1915), into two cases.
% 43.22/13.44  																															|-Branch one:
% 43.22/13.44  																															| (583) all_0_90_90 = e4
% 43.22/13.44  																															|
% 43.22/13.44  																																| Equations (583) can reduce 72 to:
% 43.22/13.44  																																| (1906)  ~ (all_0_92_92 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Simplifying 1906 yields:
% 43.22/13.44  																																| (1619)  ~ (all_0_92_92 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Equations (583) can reduce 34 to:
% 43.22/13.44  																																| (495)  ~ (all_0_93_93 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Simplifying 495 yields:
% 43.22/13.44  																																| (496)  ~ (all_0_93_93 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Equations (583) can reduce 229 to:
% 43.22/13.44  																																| (314)  ~ (all_0_95_95 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Simplifying 314 yields:
% 43.22/13.44  																																| (315)  ~ (all_0_95_95 = e4)
% 43.22/13.44  																																|
% 43.22/13.44  																																| Equations (583) can reduce 762 to:
% 43.22/13.44  																																| (23)  ~ (e4 = e0)
% 43.22/13.44  																																|
% 43.22/13.44  																																| From (583) and (217) follows:
% 43.22/13.44  																																| (10484) op(e3, e4) = all_0_48_48
% 43.22/13.44  																																|
% 43.22/13.44  																																| From (583) and (35) follows:
% 43.22/13.44  																																| (10485) op(e1, e4) = all_0_49_49
% 43.22/13.44  																																|
% 43.22/13.44  																																| From (583) and (218) follows:
% 43.22/13.44  																																| (4391) op(e1, e3) = e4
% 43.22/13.44  																																|
% 43.22/13.44  																																+-Applying beta-rule and splitting (565), into two cases.
% 43.22/13.44  																																|-Branch one:
% 43.22/13.44  																																| (566) all_0_93_93 = e1
% 43.22/13.44  																																|
% 43.22/13.44  																																	| Equations (566) can reduce 481 to:
% 43.22/13.44  																																	| (311) $false
% 43.22/13.44  																																	|
% 43.22/13.44  																																	|-The branch is then unsatisfiable
% 43.22/13.44  																																|-Branch two:
% 43.22/13.44  																																| (481)  ~ (all_0_93_93 = e1)
% 43.22/13.44  																																| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 43.22/13.44  																																|
% 43.22/13.44  																																	+-Applying beta-rule and splitting (569), into two cases.
% 43.22/13.44  																																	|-Branch one:
% 43.22/13.44  																																	| (570) all_0_93_93 = e3
% 43.22/13.44  																																	|
% 43.22/13.44  																																		| Equations (570) can reduce 283 to:
% 43.22/13.44  																																		| (426)  ~ (all_0_92_92 = e3)
% 43.22/13.44  																																		|
% 43.22/13.44  																																		| Equations (570) can reduce 509 to:
% 43.22/13.44  																																		| (50)  ~ (e3 = e0)
% 43.22/13.44  																																		|
% 43.22/13.44  																																		| From (570) and (21) follows:
% 43.22/13.44  																																		| (4652) op(e1, e3) = all_0_76_76
% 43.22/13.44  																																		|
% 43.22/13.44  																																		| From (570) and (231) follows:
% 43.22/13.44  																																		| (573) op(e1, e0) = e3
% 43.22/13.44  																																		|
% 43.22/13.44  																																		| From (570) and (173) follows:
% 43.22/13.44  																																		| (4654) op(e0, e3) = all_0_75_75
% 43.22/13.44  																																		|
% 43.22/13.44  																																		+-Applying beta-rule and splitting (770), into two cases.
% 43.22/13.44  																																		|-Branch one:
% 43.22/13.44  																																		| (785) all_0_95_95 = e1
% 43.22/13.44  																																		|
% 43.22/13.44  																																			| Equations (785) can reduce 279 to:
% 43.22/13.44  																																			| (1671)  ~ (all_0_96_96 = e1)
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Simplifying 1671 yields:
% 43.22/13.44  																																			| (1479)  ~ (all_0_96_96 = e1)
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Equations (785) can reduce 765 to:
% 43.22/13.44  																																			| (683)  ~ (e3 = e1)
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Simplifying 683 yields:
% 43.22/13.44  																																			| (20)  ~ (e3 = e1)
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| From (785) and (275) follows:
% 43.22/13.44  																																			| (1511) op(e0, e3) = e1
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Instantiating formula (262) with e3, e4, all_0_48_48, e1 and discharging atoms op(e3, e4) = all_0_48_48, op(e3, e4) = e1, yields:
% 43.22/13.44  																																			| (741) all_0_48_48 = e1
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Instantiating formula (262) with e3, e4, all_0_63_63, all_0_48_48 and discharging atoms op(e3, e4) = all_0_48_48, op(e3, e4) = all_0_63_63, yields:
% 43.22/13.44  																																			| (10504) all_0_48_48 = all_0_63_63
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 43.22/13.44  																																			| (10505) all_0_49_49 = e2
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Instantiating formula (262) with e1, e4, all_0_62_62, all_0_49_49 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = all_0_62_62, yields:
% 43.22/13.44  																																			| (10506) all_0_49_49 = all_0_62_62
% 43.22/13.44  																																			|
% 43.22/13.44  																																			| Instantiating formula (262) with e1, e3, e4, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e4, yields:
% 43.22/13.45  																																			| (4717) all_0_76_76 = e4
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| Instantiating formula (262) with e0, e3, e1, all_0_75_75 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = e1, yields:
% 43.22/13.45  																																			| (1392) all_0_75_75 = e1
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| Combining equations (741,10504) yields a new equation:
% 43.22/13.45  																																			| (10509) all_0_63_63 = e1
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| Combining equations (10505,10506) yields a new equation:
% 43.22/13.45  																																			| (9103) all_0_62_62 = e2
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| From (10509) and (10441) follows:
% 43.22/13.45  																																			| (225) op(e3, e4) = e1
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| From (9103) and (9102) follows:
% 43.22/13.45  																																			| (307) op(e1, e4) = e2
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| From (4717) and (4652) follows:
% 43.22/13.45  																																			| (4391) op(e1, e3) = e4
% 43.22/13.45  																																			|
% 43.22/13.45  																																			| From (1392) and (4654) follows:
% 43.22/13.45  																																			| (1511) op(e0, e3) = e1
% 43.22/13.45  																																			|
% 43.22/13.45  																																			+-Applying beta-rule and splitting (127), into two cases.
% 43.22/13.45  																																			|-Branch one:
% 43.22/13.45  																																			| (457) all_0_79_79 = e1
% 43.22/13.45  																																			|
% 43.22/13.45  																																				| Equations (457) can reduce 17 to:
% 43.22/13.45  																																				| (1669)  ~ (all_0_91_91 = e1)
% 43.22/13.45  																																				|
% 43.22/13.45  																																				| Simplifying 1669 yields:
% 43.22/13.45  																																				| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.45  																																				|
% 43.22/13.45  																																				| Equations (457) can reduce 235 to:
% 43.22/13.45  																																				| (681)  ~ (e4 = e1)
% 43.22/13.45  																																				|
% 43.22/13.45  																																				| Simplifying 681 yields:
% 43.22/13.45  																																				| (256)  ~ (e4 = e1)
% 43.22/13.45  																																				|
% 43.22/13.45  																																				| Equations (457) can reduce 9 to:
% 43.22/13.45  																																				| (264)  ~ (e1 = e0)
% 43.22/13.45  																																				|
% 43.22/13.45  																																				| From (457) and (267) follows:
% 43.22/13.45  																																				| (1678) op(e4, e2) = e1
% 43.22/13.45  																																				|
% 43.22/13.45  																																				+-Applying beta-rule and splitting (285), into two cases.
% 43.22/13.45  																																				|-Branch one:
% 43.22/13.45  																																				| (1708) all_0_79_79 = e3
% 43.22/13.45  																																				|
% 43.22/13.45  																																					| Combining equations (457,1708) yields a new equation:
% 43.22/13.45  																																					| (772) e3 = e1
% 43.22/13.45  																																					|
% 43.22/13.45  																																					| Equations (772) can reduce 20 to:
% 43.22/13.45  																																					| (311) $false
% 43.22/13.45  																																					|
% 43.22/13.45  																																					|-The branch is then unsatisfiable
% 43.22/13.45  																																				|-Branch two:
% 43.22/13.45  																																				| (1711)  ~ (all_0_79_79 = e3)
% 43.22/13.45  																																				| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 43.22/13.45  																																				|
% 43.22/13.45  																																					| Equations (457) can reduce 1711 to:
% 43.22/13.45  																																					| (683)  ~ (e3 = e1)
% 43.22/13.45  																																					|
% 43.22/13.45  																																					| Simplifying 683 yields:
% 43.22/13.45  																																					| (20)  ~ (e3 = e1)
% 43.22/13.45  																																					|
% 43.22/13.45  																																					+-Applying beta-rule and splitting (132), into two cases.
% 43.22/13.45  																																					|-Branch one:
% 43.22/13.45  																																					| (750) all_0_90_90 = e1
% 43.22/13.45  																																					|
% 43.22/13.45  																																						| Combining equations (583,750) yields a new equation:
% 43.22/13.45  																																						| (813) e4 = e1
% 43.22/13.45  																																						|
% 43.22/13.45  																																						| Simplifying 813 yields:
% 43.22/13.45  																																						| (814) e4 = e1
% 43.22/13.45  																																						|
% 43.22/13.45  																																						| Equations (814) can reduce 256 to:
% 43.22/13.45  																																						| (311) $false
% 43.22/13.45  																																						|
% 43.22/13.45  																																						|-The branch is then unsatisfiable
% 43.22/13.45  																																					|-Branch two:
% 43.22/13.45  																																					| (678)  ~ (all_0_90_90 = e1)
% 43.22/13.45  																																					| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.22/13.45  																																					|
% 43.22/13.45  																																						+-Applying beta-rule and splitting (284), into two cases.
% 43.22/13.45  																																						|-Branch one:
% 43.22/13.45  																																						| (1723) all_0_91_91 = e2
% 43.22/13.45  																																						|
% 43.22/13.45  																																							| Equations (1723) can reduce 296 to:
% 43.22/13.45  																																							| (311) $false
% 43.22/13.45  																																							|
% 43.22/13.45  																																							|-The branch is then unsatisfiable
% 43.22/13.45  																																						|-Branch two:
% 43.22/13.45  																																						| (296)  ~ (all_0_91_91 = e2)
% 43.22/13.45  																																						| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.22/13.45  																																						|
% 43.22/13.45  																																							+-Applying beta-rule and splitting (1726), into two cases.
% 43.22/13.45  																																							|-Branch one:
% 43.22/13.45  																																							| (801) all_0_91_91 = e1
% 43.22/13.45  																																							|
% 43.22/13.45  																																								| Equations (801) can reduce 959 to:
% 43.22/13.45  																																								| (311) $false
% 43.22/13.45  																																								|
% 43.22/13.45  																																								|-The branch is then unsatisfiable
% 43.22/13.45  																																							|-Branch two:
% 43.22/13.45  																																							| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.45  																																							| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.22/13.45  																																							|
% 43.22/13.45  																																								+-Applying beta-rule and splitting (1526), into two cases.
% 43.22/13.45  																																								|-Branch one:
% 43.22/13.45  																																								| (801) all_0_91_91 = e1
% 43.22/13.45  																																								|
% 43.22/13.45  																																									| Equations (801) can reduce 959 to:
% 43.22/13.45  																																									| (311) $false
% 43.22/13.45  																																									|
% 43.22/13.45  																																									|-The branch is then unsatisfiable
% 43.22/13.45  																																								|-Branch two:
% 43.22/13.45  																																								| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.45  																																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.22/13.45  																																								|
% 43.22/13.45  																																									+-Applying beta-rule and splitting (1556), into two cases.
% 43.22/13.45  																																									|-Branch one:
% 43.22/13.45  																																									| (836) all_0_92_92 = e1
% 43.22/13.45  																																									|
% 43.22/13.45  																																										| Equations (836) can reduce 49 to:
% 43.22/13.45  																																										| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.45  																																										|
% 43.22/13.45  																																										| Equations (836) can reduce 258 to:
% 43.22/13.45  																																										| (485)  ~ (all_0_97_97 = e1)
% 43.22/13.45  																																										|
% 43.22/13.45  																																										| Simplifying 485 yields:
% 43.22/13.45  																																										| (486)  ~ (all_0_97_97 = e1)
% 43.22/13.45  																																										|
% 43.22/13.45  																																										| Equations (836) can reduce 298 to:
% 43.22/13.45  																																										| (487)  ~ (e2 = e1)
% 43.22/13.45  																																										|
% 43.22/13.45  																																										| Simplifying 487 yields:
% 43.22/13.45  																																										| (243)  ~ (e2 = e1)
% 43.22/13.45  																																										|
% 43.22/13.45  																																										+-Applying beta-rule and splitting (2), into two cases.
% 43.22/13.45  																																										|-Branch one:
% 43.22/13.45  																																										| (916) all_0_84_84 = e0
% 43.22/13.45  																																										|
% 43.22/13.45  																																											| Combining equations (438,916) yields a new equation:
% 43.22/13.45  																																											| (911) e4 = e0
% 43.22/13.45  																																											|
% 43.22/13.45  																																											| Simplifying 911 yields:
% 43.22/13.45  																																											| (912) e4 = e0
% 43.22/13.45  																																											|
% 43.22/13.45  																																											| Equations (912) can reduce 23 to:
% 43.22/13.45  																																											| (311) $false
% 43.22/13.45  																																											|
% 43.22/13.45  																																											|-The branch is then unsatisfiable
% 43.22/13.45  																																										|-Branch two:
% 43.22/13.45  																																										| (919)  ~ (all_0_84_84 = e0)
% 43.22/13.45  																																										| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.22/13.45  																																										|
% 43.22/13.45  																																											| Equations (438) can reduce 919 to:
% 43.22/13.45  																																											| (23)  ~ (e4 = e0)
% 43.22/13.45  																																											|
% 43.22/13.45  																																											+-Applying beta-rule and splitting (291), into two cases.
% 43.22/13.45  																																											|-Branch one:
% 43.22/13.45  																																											| (758) all_0_90_90 = e0
% 43.22/13.45  																																											|
% 43.22/13.45  																																												| Combining equations (583,758) yields a new equation:
% 43.22/13.45  																																												| (911) e4 = e0
% 43.22/13.45  																																												|
% 43.22/13.45  																																												| Simplifying 911 yields:
% 43.22/13.45  																																												| (912) e4 = e0
% 43.22/13.45  																																												|
% 43.22/13.45  																																												| Equations (912) can reduce 23 to:
% 43.22/13.45  																																												| (311) $false
% 43.22/13.45  																																												|
% 43.22/13.45  																																												|-The branch is then unsatisfiable
% 43.22/13.45  																																											|-Branch two:
% 43.22/13.45  																																											| (762)  ~ (all_0_90_90 = e0)
% 43.22/13.45  																																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.22/13.45  																																											|
% 43.22/13.45  																																												+-Applying beta-rule and splitting (45), into two cases.
% 43.22/13.45  																																												|-Branch one:
% 43.22/13.45  																																												| (546) all_0_80_80 = e2
% 43.22/13.45  																																												|
% 43.22/13.45  																																													| Equations (546) can reduce 394 to:
% 43.22/13.45  																																													| (311) $false
% 43.22/13.45  																																													|
% 43.22/13.45  																																													|-The branch is then unsatisfiable
% 43.22/13.45  																																												|-Branch two:
% 43.22/13.45  																																												| (394)  ~ (all_0_80_80 = e2)
% 43.22/13.45  																																												| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.22/13.45  																																												|
% 43.22/13.45  																																													+-Applying beta-rule and splitting (1455), into two cases.
% 43.22/13.45  																																													|-Branch one:
% 43.22/13.45  																																													| (1456) all_0_91_91 = e0
% 43.22/13.45  																																													|
% 43.22/13.45  																																														| Equations (1456) can reduce 64 to:
% 43.22/13.45  																																														| (2296)  ~ (all_0_96_96 = e0)
% 43.22/13.45  																																														|
% 43.22/13.45  																																														| Simplifying 2296 yields:
% 43.22/13.45  																																														| (2095)  ~ (all_0_96_96 = e0)
% 43.22/13.45  																																														|
% 43.22/13.45  																																														| Equations (1456) can reduce 296 to:
% 43.22/13.45  																																														| (510)  ~ (e2 = e0)
% 43.22/13.45  																																														|
% 43.22/13.45  																																														| Simplifying 510 yields:
% 43.22/13.45  																																														| (76)  ~ (e2 = e0)
% 43.22/13.45  																																														|
% 43.22/13.45  																																														| From (1456) and (51) follows:
% 43.22/13.45  																																														| (3461) op(e1, e0) = all_0_57_57
% 43.22/13.45  																																														|
% 43.22/13.45  																																														+-Applying beta-rule and splitting (1921), into two cases.
% 43.22/13.45  																																														|-Branch one:
% 43.22/13.45  																																														| (1837) all_0_96_96 = e0
% 43.22/13.45  																																														|
% 43.22/13.45  																																															| Equations (1837) can reduce 2095 to:
% 43.22/13.45  																																															| (311) $false
% 43.22/13.45  																																															|
% 43.22/13.45  																																															|-The branch is then unsatisfiable
% 43.22/13.45  																																														|-Branch two:
% 43.22/13.45  																																														| (2095)  ~ (all_0_96_96 = e0)
% 43.22/13.45  																																														| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.22/13.45  																																														|
% 43.22/13.45  																																															+-Applying beta-rule and splitting (2096), into two cases.
% 43.22/13.45  																																															|-Branch one:
% 43.22/13.45  																																															| (560) all_0_97_97 = e0
% 43.22/13.45  																																															|
% 43.22/13.45  																																																| Equations (560) can reduce 202 to:
% 43.22/13.45  																																																| (166)  ~ (all_0_80_80 = e0)
% 43.22/13.45  																																																|
% 43.22/13.45  																																																| Equations (560) can reduce 527 to:
% 43.22/13.45  																																																| (510)  ~ (e2 = e0)
% 43.22/13.45  																																																|
% 43.22/13.45  																																																| Simplifying 510 yields:
% 43.22/13.45  																																																| (76)  ~ (e2 = e0)
% 43.22/13.45  																																																|
% 43.22/13.45  																																																| Equations (560) can reduce 486 to:
% 43.22/13.45  																																																| (859)  ~ (e1 = e0)
% 43.22/13.45  																																																|
% 43.22/13.45  																																																| Simplifying 859 yields:
% 43.22/13.45  																																																| (264)  ~ (e1 = e0)
% 43.22/13.45  																																																|
% 43.22/13.45  																																																| From (560) and (252) follows:
% 43.22/13.45  																																																| (561) op(e1, e0) = all_0_67_67
% 43.22/13.45  																																																|
% 43.22/13.45  																																																+-Applying beta-rule and splitting (207), into two cases.
% 43.22/13.45  																																																|-Branch one:
% 43.22/13.45  																																																| (416) all_0_80_80 = e3
% 43.22/13.45  																																																|
% 43.22/13.45  																																																	| Equations (416) can reduce 394 to:
% 43.22/13.45  																																																	| (169)  ~ (e3 = e2)
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																	| Equations (416) can reduce 828 to:
% 43.22/13.45  																																																	| (20)  ~ (e3 = e1)
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																	| Equations (416) can reduce 166 to:
% 43.22/13.45  																																																	| (50)  ~ (e3 = e0)
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																	| From (416) and (39) follows:
% 43.22/13.45  																																																	| (10591) op(e4, e3) = all_0_61_61
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																	| From (416) and (233) follows:
% 43.22/13.45  																																																	| (432) op(e1, e3) = all_0_60_60
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																	+-Applying beta-rule and splitting (270), into two cases.
% 43.22/13.45  																																																	|-Branch one:
% 43.22/13.45  																																																	| (744) all_0_95_95 = e3
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																		| Combining equations (785,744) yields a new equation:
% 43.22/13.45  																																																		| (772) e3 = e1
% 43.22/13.45  																																																		|
% 43.22/13.45  																																																		| Equations (772) can reduce 20 to:
% 43.22/13.45  																																																		| (311) $false
% 43.22/13.45  																																																		|
% 43.22/13.45  																																																		|-The branch is then unsatisfiable
% 43.22/13.45  																																																	|-Branch two:
% 43.22/13.45  																																																	| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.45  																																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.45  																																																	|
% 43.22/13.45  																																																		+-Applying beta-rule and splitting (766), into two cases.
% 43.22/13.45  																																																		|-Branch one:
% 43.22/13.45  																																																		| (778) all_0_96_96 = e3
% 43.22/13.45  																																																		|
% 43.22/13.45  																																																			| From (778) and (212) follows:
% 43.22/13.45  																																																			| (10599) op(e2, e3) = all_0_58_58
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| From (778) and (268) follows:
% 43.22/13.45  																																																			| (10600) op(e0, e3) = all_0_59_59
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| From (778) and (59) follows:
% 43.22/13.45  																																																			| (4698) op(e0, e2) = e3
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| Instantiating formula (262) with e4, e3, all_0_61_61, e2 and discharging atoms op(e4, e3) = all_0_61_61, op(e4, e3) = e2, yields:
% 43.22/13.45  																																																			| (10602) all_0_61_61 = e2
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| Instantiating formula (262) with e2, e3, all_0_58_58, e0 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e0, yields:
% 43.22/13.45  																																																			| (4958) all_0_58_58 = e0
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| Instantiating formula (262) with e1, e3, all_0_60_60, e4 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = e4, yields:
% 43.22/13.45  																																																			| (580) all_0_60_60 = e4
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| Instantiating formula (262) with e1, e0, all_0_57_57, e3 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e3, yields:
% 43.22/13.45  																																																			| (3522) all_0_57_57 = e3
% 43.22/13.45  																																																			|
% 43.22/13.45  																																																			| Instantiating formula (262) with e1, e0, all_0_67_67, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_67_67, yields:
% 43.22/13.46  																																																			| (10606) all_0_57_57 = all_0_67_67
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| Instantiating formula (262) with e0, e3, all_0_59_59, e1 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e1, yields:
% 43.22/13.46  																																																			| (10607) all_0_59_59 = e1
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| Combining equations (3522,10606) yields a new equation:
% 43.22/13.46  																																																			| (576) all_0_67_67 = e3
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| From (10602) and (10591) follows:
% 43.22/13.46  																																																			| (9982) op(e4, e3) = e2
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| From (4958) and (10599) follows:
% 43.22/13.46  																																																			| (5343) op(e2, e3) = e0
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| From (580) and (432) follows:
% 43.22/13.46  																																																			| (4391) op(e1, e3) = e4
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| From (576) and (561) follows:
% 43.22/13.46  																																																			| (573) op(e1, e0) = e3
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			| From (10607) and (10600) follows:
% 43.22/13.46  																																																			| (1511) op(e0, e3) = e1
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																			+-Applying beta-rule and splitting (196), into two cases.
% 43.22/13.46  																																																			|-Branch one:
% 43.22/13.46  																																																			| (4725) unit = e2
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																				| From (4725) and (170) follows:
% 43.22/13.46  																																																				| (4726) op(e2, e4) = e4
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| From (4725) and (11) follows:
% 43.22/13.46  																																																				| (4727) op(e4, e2) = e4
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| From (4725) and (269) follows:
% 43.22/13.46  																																																				| (4728) op(e2, e2) = e2
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| From (4725) and (57) follows:
% 43.22/13.46  																																																				| (4729) op(e0, e2) = e0
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Instantiating formula (262) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 43.22/13.46  																																																				| (814) e4 = e1
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 43.22/13.46  																																																				| (434) e4 = e3
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Instantiating formula (262) with e2, e2, e2, e4 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 43.22/13.46  																																																				| (310) e4 = e2
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Instantiating formula (262) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 43.22/13.46  																																																				| (600) e3 = e0
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Combining equations (310,434) yields a new equation:
% 43.22/13.46  																																																				| (548) e3 = e2
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Combining equations (814,434) yields a new equation:
% 43.22/13.46  																																																				| (772) e3 = e1
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Combining equations (600,548) yields a new equation:
% 43.22/13.46  																																																				| (379) e2 = e0
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Combining equations (772,548) yields a new equation:
% 43.22/13.46  																																																				| (385) e2 = e1
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Combining equations (379,385) yields a new equation:
% 43.22/13.46  																																																				| (865) e1 = e0
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				| Equations (865) can reduce 264 to:
% 43.22/13.46  																																																				| (311) $false
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																				|-The branch is then unsatisfiable
% 43.22/13.46  																																																			|-Branch two:
% 43.22/13.46  																																																			| (4740)  ~ (unit = e2)
% 43.22/13.46  																																																			| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 43.22/13.46  																																																			|
% 43.22/13.46  																																																				+-Applying beta-rule and splitting (4741), into two cases.
% 43.22/13.46  																																																				|-Branch one:
% 43.22/13.46  																																																				| (4742) unit = e1
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																					| From (4742) and (170) follows:
% 43.22/13.46  																																																					| (4743) op(e1, e4) = e4
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| From (4742) and (203) follows:
% 43.22/13.46  																																																					| (4744) op(e1, e3) = e3
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| From (4742) and (288) follows:
% 43.22/13.46  																																																					| (4745) op(e1, e0) = e0
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 43.22/13.46  																																																					| (310) e4 = e2
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 43.22/13.46  																																																					| (434) e4 = e3
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Instantiating formula (262) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields:
% 43.22/13.46  																																																					| (600) e3 = e0
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Combining equations (434,310) yields a new equation:
% 43.22/13.46  																																																					| (547) e3 = e2
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Simplifying 547 yields:
% 43.22/13.46  																																																					| (548) e3 = e2
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Combining equations (548,600) yields a new equation:
% 43.22/13.46  																																																					| (923) e2 = e0
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Simplifying 923 yields:
% 43.22/13.46  																																																					| (379) e2 = e0
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					| Equations (379) can reduce 76 to:
% 43.22/13.46  																																																					| (311) $false
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																					|-The branch is then unsatisfiable
% 43.22/13.46  																																																				|-Branch two:
% 43.22/13.46  																																																				| (4754)  ~ (unit = e1)
% 43.22/13.46  																																																				| (4755) unit = e4 | unit = e3 | unit = e0
% 43.22/13.46  																																																				|
% 43.22/13.46  																																																					+-Applying beta-rule and splitting (4755), into two cases.
% 43.22/13.46  																																																					|-Branch one:
% 43.22/13.46  																																																					| (4756) unit = e3
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																						| From (4756) and (11) follows:
% 43.22/13.46  																																																						| (4757) op(e4, e3) = e4
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| From (4756) and (269) follows:
% 43.22/13.46  																																																						| (362) op(e2, e3) = e2
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| From (4756) and (160) follows:
% 43.22/13.46  																																																						| (3486) op(e1, e3) = e1
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Instantiating formula (262) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 43.22/13.46  																																																						| (310) e4 = e2
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Instantiating formula (262) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 43.22/13.46  																																																						| (379) e2 = e0
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Instantiating formula (262) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 43.22/13.46  																																																						| (814) e4 = e1
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Combining equations (310,814) yields a new equation:
% 43.22/13.46  																																																						| (408) e2 = e1
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Simplifying 408 yields:
% 43.22/13.46  																																																						| (385) e2 = e1
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Combining equations (385,379) yields a new equation:
% 43.22/13.46  																																																						| (1107) e1 = e0
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Simplifying 1107 yields:
% 43.22/13.46  																																																						| (865) e1 = e0
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						| Equations (865) can reduce 264 to:
% 43.22/13.46  																																																						| (311) $false
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																						|-The branch is then unsatisfiable
% 43.22/13.46  																																																					|-Branch two:
% 43.22/13.46  																																																					| (4768)  ~ (unit = e3)
% 43.22/13.46  																																																					| (4769) unit = e4 | unit = e0
% 43.22/13.46  																																																					|
% 43.22/13.46  																																																						+-Applying beta-rule and splitting (4769), into two cases.
% 43.22/13.46  																																																						|-Branch one:
% 43.22/13.46  																																																						| (4770) unit = e0
% 43.22/13.46  																																																						|
% 43.22/13.46  																																																							| Equations (4770) can reduce 4754 to:
% 43.22/13.46  																																																							| (859)  ~ (e1 = e0)
% 43.22/13.46  																																																							|
% 43.22/13.46  																																																							| Simplifying 859 yields:
% 43.22/13.46  																																																							| (264)  ~ (e1 = e0)
% 43.22/13.46  																																																							|
% 43.22/13.46  																																																							| From (4770) and (203) follows:
% 43.22/13.46  																																																							| (1522) op(e0, e3) = e3
% 43.22/13.46  																																																							|
% 43.22/13.46  																																																							| From (4770) and (242) follows:
% 43.22/13.47  																																																							| (8077) op(e0, e2) = e2
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| From (4770) and (271) follows:
% 43.22/13.47  																																																							| (1048) op(e3, e0) = e3
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Instantiating formula (262) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 43.22/13.47  																																																							| (600) e3 = e0
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Instantiating formula (262) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 43.22/13.47  																																																							| (772) e3 = e1
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Instantiating formula (262) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 43.22/13.47  																																																							| (548) e3 = e2
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Combining equations (600,548) yields a new equation:
% 43.22/13.47  																																																							| (379) e2 = e0
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Combining equations (772,548) yields a new equation:
% 43.22/13.47  																																																							| (385) e2 = e1
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Combining equations (379,385) yields a new equation:
% 43.22/13.47  																																																							| (865) e1 = e0
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Equations (865) can reduce 264 to:
% 43.22/13.47  																																																							| (311) $false
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							|-The branch is then unsatisfiable
% 43.22/13.47  																																																						|-Branch two:
% 43.22/13.47  																																																						| (4780)  ~ (unit = e0)
% 43.22/13.47  																																																						| (4781) unit = e4
% 43.22/13.47  																																																						|
% 43.22/13.47  																																																							| From (4781) and (271) follows:
% 43.22/13.47  																																																							| (4783) op(e3, e4) = e3
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| From (4781) and (269) follows:
% 43.22/13.47  																																																							| (4784) op(e2, e4) = e2
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Instantiating formula (262) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 43.22/13.47  																																																							| (772) e3 = e1
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Instantiating formula (262) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 43.22/13.47  																																																							| (548) e3 = e2
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Combining equations (548,772) yields a new equation:
% 43.22/13.47  																																																							| (408) e2 = e1
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Simplifying 408 yields:
% 43.22/13.47  																																																							| (385) e2 = e1
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							| Equations (385) can reduce 243 to:
% 43.22/13.47  																																																							| (311) $false
% 43.22/13.47  																																																							|
% 43.22/13.47  																																																							|-The branch is then unsatisfiable
% 43.22/13.47  																																																		|-Branch two:
% 43.22/13.47  																																																		| (964)  ~ (all_0_96_96 = e3)
% 43.22/13.47  																																																		| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.47  																																																		|
% 43.22/13.47  																																																			+-Applying beta-rule and splitting (965), into two cases.
% 43.22/13.47  																																																			|-Branch one:
% 43.22/13.47  																																																			| (556) all_0_97_97 = e3
% 43.22/13.47  																																																			|
% 43.22/13.47  																																																				| Combining equations (560,556) yields a new equation:
% 43.22/13.47  																																																				| (600) e3 = e0
% 43.22/13.47  																																																				|
% 43.22/13.47  																																																				| Equations (600) can reduce 50 to:
% 43.22/13.47  																																																				| (311) $false
% 43.22/13.47  																																																				|
% 43.22/13.47  																																																				|-The branch is then unsatisfiable
% 43.22/13.47  																																																			|-Branch two:
% 43.22/13.47  																																																			| (428)  ~ (all_0_97_97 = e3)
% 43.22/13.47  																																																			| (969) all_0_98_98 = e3
% 43.22/13.47  																																																			|
% 43.22/13.47  																																																				| Combining equations (525,969) yields a new equation:
% 43.22/13.47  																																																				| (548) e3 = e2
% 43.22/13.47  																																																				|
% 43.22/13.47  																																																				| Equations (548) can reduce 169 to:
% 43.22/13.47  																																																				| (311) $false
% 43.22/13.47  																																																				|
% 43.22/13.47  																																																				|-The branch is then unsatisfiable
% 43.22/13.47  																																																|-Branch two:
% 43.22/13.47  																																																| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.47  																																																| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.22/13.47  																																																|
% 43.22/13.47  																																																	+-Applying beta-rule and splitting (3232), into two cases.
% 43.22/13.47  																																																	|-Branch one:
% 43.22/13.47  																																																	| (824) all_0_80_80 = e1
% 43.22/13.47  																																																	|
% 43.22/13.47  																																																		| Equations (824) can reduce 828 to:
% 43.22/13.47  																																																		| (311) $false
% 43.22/13.47  																																																		|
% 43.22/13.47  																																																		|-The branch is then unsatisfiable
% 43.22/13.47  																																																	|-Branch two:
% 43.22/13.47  																																																	| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.47  																																																	| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.22/13.47  																																																	|
% 43.22/13.47  																																																		+-Applying beta-rule and splitting (4018), into two cases.
% 43.22/13.47  																																																		|-Branch one:
% 43.22/13.47  																																																		| (416) all_0_80_80 = e3
% 43.22/13.47  																																																		|
% 43.22/13.47  																																																			| Equations (416) can reduce 2347 to:
% 43.22/13.47  																																																			| (311) $false
% 43.22/13.47  																																																			|
% 43.22/13.47  																																																			|-The branch is then unsatisfiable
% 43.22/13.47  																																																		|-Branch two:
% 43.22/13.47  																																																		| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.47  																																																		| (433) all_0_80_80 = e4
% 43.22/13.47  																																																		|
% 43.22/13.47  																																																			| Equations (433) can reduce 436 to:
% 43.22/13.47  																																																			| (311) $false
% 43.22/13.47  																																																			|
% 43.22/13.47  																																																			|-The branch is then unsatisfiable
% 43.22/13.47  																																															|-Branch two:
% 43.22/13.47  																																															| (609)  ~ (all_0_97_97 = e0)
% 43.22/13.47  																																															| (1121) all_0_98_98 = e0
% 43.22/13.47  																																															|
% 43.22/13.47  																																																| Combining equations (1121,525) yields a new equation:
% 43.22/13.47  																																																| (379) e2 = e0
% 43.22/13.47  																																																|
% 43.22/13.47  																																																| Equations (379) can reduce 76 to:
% 43.22/13.47  																																																| (311) $false
% 43.22/13.47  																																																|
% 43.22/13.47  																																																|-The branch is then unsatisfiable
% 43.22/13.47  																																													|-Branch two:
% 43.22/13.47  																																													| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.47  																																													| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 43.22/13.47  																																													|
% 43.22/13.47  																																														+-Applying beta-rule and splitting (1488), into two cases.
% 43.22/13.47  																																														|-Branch one:
% 43.22/13.47  																																														| (942) all_0_92_92 = e0
% 43.22/13.47  																																														|
% 43.22/13.47  																																															| Combining equations (836,942) yields a new equation:
% 43.22/13.47  																																															| (1107) e1 = e0
% 43.22/13.47  																																															|
% 43.22/13.47  																																															| Simplifying 1107 yields:
% 43.22/13.47  																																															| (865) e1 = e0
% 43.22/13.47  																																															|
% 43.22/13.47  																																															| Equations (865) can reduce 264 to:
% 43.22/13.47  																																															| (311) $false
% 43.22/13.47  																																															|
% 43.22/13.47  																																															|-The branch is then unsatisfiable
% 43.22/13.47  																																														|-Branch two:
% 43.22/13.47  																																														| (946)  ~ (all_0_92_92 = e0)
% 43.22/13.47  																																														| (604) all_0_93_93 = e0
% 43.22/13.47  																																														|
% 43.22/13.47  																																															| Combining equations (604,570) yields a new equation:
% 43.22/13.47  																																															| (600) e3 = e0
% 43.22/13.47  																																															|
% 43.22/13.47  																																															| Equations (600) can reduce 50 to:
% 43.22/13.47  																																															| (311) $false
% 43.22/13.47  																																															|
% 43.22/13.47  																																															|-The branch is then unsatisfiable
% 43.22/13.47  																																									|-Branch two:
% 43.22/13.47  																																									| (840)  ~ (all_0_92_92 = e1)
% 43.22/13.47  																																									| (566) all_0_93_93 = e1
% 43.22/13.47  																																									|
% 43.22/13.47  																																										| Combining equations (570,566) yields a new equation:
% 43.22/13.47  																																										| (825) e3 = e1
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Simplifying 825 yields:
% 43.22/13.47  																																										| (772) e3 = e1
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Equations (772) can reduce 20 to:
% 43.22/13.47  																																										| (311) $false
% 43.22/13.47  																																										|
% 43.22/13.47  																																										|-The branch is then unsatisfiable
% 43.22/13.47  																																			|-Branch two:
% 43.22/13.47  																																			| (461)  ~ (all_0_79_79 = e1)
% 43.22/13.47  																																			| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.22/13.47  																																			|
% 43.22/13.47  																																				+-Applying beta-rule and splitting (462), into two cases.
% 43.22/13.47  																																				|-Branch one:
% 43.22/13.47  																																				| (801) all_0_91_91 = e1
% 43.22/13.47  																																				|
% 43.22/13.47  																																					| Combining equations (801,9535) yields a new equation:
% 43.22/13.47  																																					| (10723) all_0_64_64 = e1
% 43.22/13.47  																																					|
% 43.22/13.47  																																					| Equations (801) can reduce 17 to:
% 43.22/13.47  																																					| (461)  ~ (all_0_79_79 = e1)
% 43.22/13.47  																																					|
% 43.22/13.47  																																					| From (801) and (51) follows:
% 43.22/13.47  																																					| (10725) op(e1, e1) = all_0_57_57
% 43.22/13.47  																																					|
% 43.22/13.47  																																					+-Applying beta-rule and splitting (1623), into two cases.
% 43.22/13.47  																																					|-Branch one:
% 43.22/13.47  																																					| (457) all_0_79_79 = e1
% 43.22/13.47  																																					|
% 43.22/13.47  																																						| Equations (457) can reduce 461 to:
% 43.22/13.47  																																						| (311) $false
% 43.22/13.47  																																						|
% 43.22/13.47  																																						|-The branch is then unsatisfiable
% 43.22/13.47  																																					|-Branch two:
% 43.22/13.47  																																					| (461)  ~ (all_0_79_79 = e1)
% 43.22/13.47  																																					| (1708) all_0_79_79 = e3
% 43.22/13.47  																																					|
% 43.22/13.47  																																						| Equations (1708) can reduce 63 to:
% 43.22/13.47  																																						| (3267)  ~ (all_0_80_80 = e3)
% 43.22/13.47  																																						|
% 43.22/13.47  																																						| Simplifying 3267 yields:
% 43.22/13.47  																																						| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.47  																																						|
% 43.22/13.47  																																						| Equations (1708) can reduce 1622 to:
% 43.22/13.47  																																						| (169)  ~ (e3 = e2)
% 43.22/13.47  																																						|
% 43.22/13.47  																																						+-Applying beta-rule and splitting (151), into two cases.
% 43.22/13.47  																																						|-Branch one:
% 43.22/13.47  																																						| (824) all_0_80_80 = e1
% 43.22/13.47  																																						|
% 43.22/13.47  																																							| Equations (824) can reduce 2347 to:
% 43.22/13.47  																																							| (683)  ~ (e3 = e1)
% 43.22/13.47  																																							|
% 43.22/13.47  																																							| Simplifying 683 yields:
% 43.22/13.47  																																							| (20)  ~ (e3 = e1)
% 43.22/13.47  																																							|
% 43.22/13.47  																																							| Equations (824) can reduce 394 to:
% 43.22/13.47  																																							| (487)  ~ (e2 = e1)
% 43.22/13.47  																																							|
% 43.22/13.47  																																							| Simplifying 487 yields:
% 43.22/13.47  																																							| (243)  ~ (e2 = e1)
% 43.22/13.47  																																							|
% 43.22/13.47  																																							| Equations (824) can reduce 166 to:
% 43.22/13.47  																																							| (264)  ~ (e1 = e0)
% 43.22/13.47  																																							|
% 43.22/13.47  																																							| From (824) and (233) follows:
% 43.22/13.47  																																							| (10739) op(e1, e1) = all_0_60_60
% 43.22/13.47  																																							|
% 43.22/13.47  																																							+-Applying beta-rule and splitting (207), into two cases.
% 43.22/13.47  																																							|-Branch one:
% 43.22/13.47  																																							| (416) all_0_80_80 = e3
% 43.22/13.47  																																							|
% 43.22/13.47  																																								| Combining equations (824,416) yields a new equation:
% 43.22/13.47  																																								| (772) e3 = e1
% 43.22/13.47  																																								|
% 43.22/13.47  																																								| Equations (772) can reduce 20 to:
% 43.22/13.47  																																								| (311) $false
% 43.22/13.47  																																								|
% 43.22/13.47  																																								|-The branch is then unsatisfiable
% 43.22/13.47  																																							|-Branch two:
% 43.22/13.47  																																							| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.47  																																							| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.22/13.47  																																							|
% 43.22/13.47  																																								| Equations (824) can reduce 2347 to:
% 43.22/13.47  																																								| (683)  ~ (e3 = e1)
% 43.22/13.47  																																								|
% 43.22/13.47  																																								| Simplifying 683 yields:
% 43.22/13.47  																																								| (20)  ~ (e3 = e1)
% 43.22/13.47  																																								|
% 43.22/13.47  																																								+-Applying beta-rule and splitting (84), into two cases.
% 43.22/13.47  																																								|-Branch one:
% 43.22/13.47  																																								| (1704) all_0_96_96 = e2
% 43.22/13.47  																																								|
% 43.22/13.47  																																									| Equations (1704) can reduce 1638 to:
% 43.22/13.47  																																									| (311) $false
% 43.22/13.47  																																									|
% 43.22/13.47  																																									|-The branch is then unsatisfiable
% 43.22/13.47  																																								|-Branch two:
% 43.22/13.47  																																								| (1638)  ~ (all_0_96_96 = e2)
% 43.22/13.47  																																								| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.22/13.47  																																								|
% 43.22/13.47  																																									+-Applying beta-rule and splitting (1400), into two cases.
% 43.22/13.47  																																									|-Branch one:
% 43.22/13.47  																																									| (1456) all_0_91_91 = e0
% 43.22/13.47  																																									|
% 43.22/13.47  																																										| Combining equations (1456,801) yields a new equation:
% 43.22/13.47  																																										| (865) e1 = e0
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Equations (865) can reduce 264 to:
% 43.22/13.47  																																										| (311) $false
% 43.22/13.47  																																										|
% 43.22/13.47  																																										|-The branch is then unsatisfiable
% 43.22/13.47  																																									|-Branch two:
% 43.22/13.47  																																									| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.47  																																									| (1837) all_0_96_96 = e0
% 43.22/13.47  																																									|
% 43.22/13.47  																																										| Equations (1837) can reduce 22 to:
% 43.22/13.47  																																										| (938)  ~ (all_0_97_97 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Simplifying 938 yields:
% 43.22/13.47  																																										| (609)  ~ (all_0_97_97 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Equations (1837) can reduce 115 to:
% 43.22/13.47  																																										| (904)  ~ (e4 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Simplifying 904 yields:
% 43.22/13.47  																																										| (23)  ~ (e4 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Equations (1837) can reduce 1638 to:
% 43.22/13.47  																																										| (510)  ~ (e2 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										| Simplifying 510 yields:
% 43.22/13.47  																																										| (76)  ~ (e2 = e0)
% 43.22/13.47  																																										|
% 43.22/13.47  																																										+-Applying beta-rule and splitting (2), into two cases.
% 43.22/13.47  																																										|-Branch one:
% 43.22/13.47  																																										| (916) all_0_84_84 = e0
% 43.22/13.47  																																										|
% 43.22/13.47  																																											| Combining equations (438,916) yields a new equation:
% 43.22/13.47  																																											| (911) e4 = e0
% 43.22/13.47  																																											|
% 43.22/13.47  																																											| Simplifying 911 yields:
% 43.22/13.47  																																											| (912) e4 = e0
% 43.22/13.47  																																											|
% 43.22/13.47  																																											| Equations (912) can reduce 23 to:
% 43.22/13.47  																																											| (311) $false
% 43.22/13.47  																																											|
% 43.22/13.47  																																											|-The branch is then unsatisfiable
% 43.22/13.47  																																										|-Branch two:
% 43.22/13.47  																																										| (919)  ~ (all_0_84_84 = e0)
% 43.22/13.47  																																										| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.22/13.47  																																										|
% 43.22/13.47  																																											+-Applying beta-rule and splitting (270), into two cases.
% 43.22/13.47  																																											|-Branch one:
% 43.22/13.47  																																											| (744) all_0_95_95 = e3
% 43.22/13.47  																																											|
% 43.22/13.47  																																												| Combining equations (744,785) yields a new equation:
% 43.22/13.47  																																												| (825) e3 = e1
% 43.22/13.47  																																												|
% 43.22/13.47  																																												| Simplifying 825 yields:
% 43.22/13.47  																																												| (772) e3 = e1
% 43.22/13.47  																																												|
% 43.22/13.47  																																												| Equations (772) can reduce 20 to:
% 43.22/13.47  																																												| (311) $false
% 43.22/13.47  																																												|
% 43.22/13.47  																																												|-The branch is then unsatisfiable
% 43.22/13.47  																																											|-Branch two:
% 43.22/13.47  																																											| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.48  																																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.48  																																											|
% 43.22/13.48  																																												+-Applying beta-rule and splitting (920), into two cases.
% 43.22/13.48  																																												|-Branch one:
% 43.22/13.48  																																												| (861) all_0_87_87 = e0
% 43.22/13.48  																																												|
% 43.22/13.48  																																													| Combining equations (374,861) yields a new equation:
% 43.22/13.48  																																													| (923) e2 = e0
% 43.22/13.48  																																													|
% 43.22/13.48  																																													| Simplifying 923 yields:
% 43.22/13.48  																																													| (379) e2 = e0
% 43.22/13.48  																																													|
% 43.22/13.48  																																													| Equations (379) can reduce 76 to:
% 43.22/13.48  																																													| (311) $false
% 43.22/13.48  																																													|
% 43.22/13.48  																																													|-The branch is then unsatisfiable
% 43.22/13.48  																																												|-Branch two:
% 43.22/13.48  																																												| (889)  ~ (all_0_87_87 = e0)
% 43.22/13.48  																																												| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.22/13.48  																																												|
% 43.22/13.48  																																													+-Applying beta-rule and splitting (931), into two cases.
% 43.22/13.48  																																													|-Branch one:
% 43.22/13.48  																																													| (942) all_0_92_92 = e0
% 43.22/13.48  																																													|
% 43.22/13.48  																																														| Equations (942) can reduce 1619 to:
% 43.22/13.48  																																														| (904)  ~ (e4 = e0)
% 43.22/13.48  																																														|
% 43.22/13.48  																																														| Simplifying 904 yields:
% 43.22/13.48  																																														| (23)  ~ (e4 = e0)
% 43.22/13.48  																																														|
% 43.22/13.48  																																														| Equations (942) can reduce 426 to:
% 43.22/13.48  																																														| (906)  ~ (e3 = e0)
% 43.22/13.48  																																														|
% 43.22/13.48  																																														| Simplifying 906 yields:
% 43.22/13.48  																																														| (50)  ~ (e3 = e0)
% 43.22/13.48  																																														|
% 43.22/13.48  																																														| From (942) and (135) follows:
% 43.22/13.48  																																														| (4548) op(e1, e1) = e0
% 43.22/13.48  																																														|
% 43.22/13.48  																																														+-Applying beta-rule and splitting (766), into two cases.
% 43.22/13.48  																																														|-Branch one:
% 43.22/13.48  																																														| (778) all_0_96_96 = e3
% 43.22/13.48  																																														|
% 43.22/13.48  																																															| Combining equations (1837,778) yields a new equation:
% 43.22/13.48  																																															| (600) e3 = e0
% 43.22/13.48  																																															|
% 43.22/13.48  																																															| Equations (600) can reduce 50 to:
% 43.22/13.48  																																															| (311) $false
% 43.22/13.48  																																															|
% 43.22/13.48  																																															|-The branch is then unsatisfiable
% 43.22/13.48  																																														|-Branch two:
% 43.22/13.48  																																														| (964)  ~ (all_0_96_96 = e3)
% 43.22/13.48  																																														| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.48  																																														|
% 43.22/13.48  																																															+-Applying beta-rule and splitting (965), into two cases.
% 43.22/13.48  																																															|-Branch one:
% 43.22/13.48  																																															| (556) all_0_97_97 = e3
% 43.22/13.48  																																															|
% 43.22/13.48  																																																| Equations (556) can reduce 527 to:
% 43.22/13.48  																																																| (169)  ~ (e3 = e2)
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| From (556) and (252) follows:
% 43.22/13.48  																																																| (10793) op(e1, e3) = all_0_67_67
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| Instantiating formula (262) with e1, e3, all_0_67_67, e4 and discharging atoms op(e1, e3) = all_0_67_67, op(e1, e3) = e4, yields:
% 43.22/13.48  																																																| (3520) all_0_67_67 = e4
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| Instantiating formula (262) with e1, e1, all_0_60_60, all_0_57_57 and discharging atoms op(e1, e1) = all_0_57_57, op(e1, e1) = all_0_60_60, yields:
% 43.22/13.48  																																																| (10795) all_0_57_57 = all_0_60_60
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| Instantiating formula (262) with e1, e1, e0, all_0_57_57 and discharging atoms op(e1, e1) = all_0_57_57, op(e1, e1) = e0, yields:
% 43.22/13.48  																																																| (10796) all_0_57_57 = e0
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| Combining equations (10796,10795) yields a new equation:
% 43.22/13.48  																																																| (3457) all_0_60_60 = e0
% 43.22/13.48  																																																|
% 43.22/13.48  																																																+-Applying beta-rule and splitting (276), into two cases.
% 43.22/13.48  																																																|-Branch one:
% 43.22/13.48  																																																| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.22/13.48  																																																|
% 43.22/13.48  																																																	+-Applying beta-rule and splitting (577), into two cases.
% 43.22/13.48  																																																	|-Branch one:
% 43.22/13.48  																																																	| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																		+-Applying beta-rule and splitting (578), into two cases.
% 43.22/13.48  																																																		|-Branch one:
% 43.22/13.48  																																																		| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.22/13.48  																																																		|
% 43.22/13.48  																																																			| Applying alpha-rule on (579) yields:
% 43.22/13.48  																																																			| (580) all_0_60_60 = e4
% 43.22/13.48  																																																			| (581)  ~ (all_0_61_61 = e1)
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			| Combining equations (3457,580) yields a new equation:
% 43.22/13.48  																																																			| (912) e4 = e0
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			| Equations (912) can reduce 23 to:
% 43.22/13.48  																																																			| (311) $false
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			|-The branch is then unsatisfiable
% 43.22/13.48  																																																		|-Branch two:
% 43.22/13.48  																																																		| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.22/13.48  																																																		|
% 43.22/13.48  																																																			| Applying alpha-rule on (585) yields:
% 43.22/13.48  																																																			| (586) all_0_62_62 = e3
% 43.22/13.48  																																																			| (587)  ~ (all_0_63_63 = e1)
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			| Combining equations (9103,586) yields a new equation:
% 43.22/13.48  																																																			| (548) e3 = e2
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			| Equations (548) can reduce 169 to:
% 43.22/13.48  																																																			| (311) $false
% 43.22/13.48  																																																			|
% 43.22/13.48  																																																			|-The branch is then unsatisfiable
% 43.22/13.48  																																																	|-Branch two:
% 43.22/13.48  																																																	| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																		| Applying alpha-rule on (590) yields:
% 43.22/13.48  																																																		| (591) all_0_64_64 = e2
% 43.22/13.48  																																																		| (592)  ~ (all_0_65_65 = e1)
% 43.22/13.48  																																																		|
% 43.22/13.48  																																																		| Combining equations (10723,591) yields a new equation:
% 43.22/13.48  																																																		| (385) e2 = e1
% 43.22/13.48  																																																		|
% 43.22/13.48  																																																		| Equations (385) can reduce 243 to:
% 43.22/13.48  																																																		| (311) $false
% 43.22/13.48  																																																		|
% 43.22/13.48  																																																		|-The branch is then unsatisfiable
% 43.22/13.48  																																																|-Branch two:
% 43.22/13.48  																																																| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.22/13.48  																																																|
% 43.22/13.48  																																																	| Applying alpha-rule on (596) yields:
% 43.22/13.48  																																																	| (597) all_0_67_67 = e0
% 43.22/13.48  																																																	| (598)  ~ (all_0_68_68 = e1)
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																	| Combining equations (3520,597) yields a new equation:
% 43.22/13.48  																																																	| (911) e4 = e0
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																	| Simplifying 911 yields:
% 43.22/13.48  																																																	| (912) e4 = e0
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																	| Equations (912) can reduce 23 to:
% 43.22/13.48  																																																	| (311) $false
% 43.22/13.48  																																																	|
% 43.22/13.48  																																																	|-The branch is then unsatisfiable
% 43.22/13.48  																																															|-Branch two:
% 43.22/13.48  																																															| (428)  ~ (all_0_97_97 = e3)
% 43.22/13.48  																																															| (969) all_0_98_98 = e3
% 43.22/13.48  																																															|
% 43.22/13.48  																																																| Combining equations (525,969) yields a new equation:
% 43.22/13.48  																																																| (548) e3 = e2
% 43.22/13.48  																																																|
% 43.22/13.48  																																																| Equations (548) can reduce 169 to:
% 43.22/13.48  																																																| (311) $false
% 43.22/13.48  																																																|
% 43.22/13.48  																																																|-The branch is then unsatisfiable
% 43.22/13.48  																																													|-Branch two:
% 43.22/13.48  																																													| (946)  ~ (all_0_92_92 = e0)
% 43.22/13.48  																																													| (560) all_0_97_97 = e0
% 43.22/13.48  																																													|
% 43.22/13.48  																																														| Equations (560) can reduce 609 to:
% 43.22/13.48  																																														| (311) $false
% 43.22/13.48  																																														|
% 43.22/13.48  																																														|-The branch is then unsatisfiable
% 43.22/13.48  																																						|-Branch two:
% 43.22/13.48  																																						| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.48  																																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.22/13.48  																																						|
% 43.22/13.48  																																							+-Applying beta-rule and splitting (45), into two cases.
% 43.22/13.48  																																							|-Branch one:
% 43.22/13.48  																																							| (546) all_0_80_80 = e2
% 43.22/13.48  																																							|
% 43.22/13.48  																																								| Equations (546) can reduce 394 to:
% 43.22/13.48  																																								| (311) $false
% 43.22/13.48  																																								|
% 43.22/13.48  																																								|-The branch is then unsatisfiable
% 43.22/13.48  																																							|-Branch two:
% 43.22/13.48  																																							| (394)  ~ (all_0_80_80 = e2)
% 43.22/13.48  																																							| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.22/13.48  																																							|
% 43.22/13.48  																																								+-Applying beta-rule and splitting (207), into two cases.
% 43.22/13.48  																																								|-Branch one:
% 43.22/13.48  																																								| (416) all_0_80_80 = e3
% 43.22/13.48  																																								|
% 43.22/13.48  																																									| Equations (416) can reduce 2347 to:
% 43.22/13.48  																																									| (311) $false
% 43.22/13.48  																																									|
% 43.22/13.48  																																									|-The branch is then unsatisfiable
% 43.22/13.48  																																								|-Branch two:
% 43.22/13.48  																																								| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.48  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.22/13.48  																																								|
% 43.22/13.48  																																									+-Applying beta-rule and splitting (3232), into two cases.
% 43.22/13.48  																																									|-Branch one:
% 43.22/13.48  																																									| (824) all_0_80_80 = e1
% 43.22/13.48  																																									|
% 43.22/13.48  																																										| Equations (824) can reduce 828 to:
% 43.22/13.48  																																										| (311) $false
% 43.22/13.48  																																										|
% 43.22/13.48  																																										|-The branch is then unsatisfiable
% 43.22/13.48  																																									|-Branch two:
% 43.22/13.48  																																									| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.48  																																									| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.22/13.48  																																									|
% 43.22/13.48  																																										+-Applying beta-rule and splitting (4018), into two cases.
% 43.22/13.48  																																										|-Branch one:
% 43.22/13.48  																																										| (416) all_0_80_80 = e3
% 43.22/13.48  																																										|
% 43.22/13.48  																																											| Equations (416) can reduce 2347 to:
% 43.22/13.48  																																											| (311) $false
% 43.22/13.48  																																											|
% 43.22/13.48  																																											|-The branch is then unsatisfiable
% 43.22/13.48  																																										|-Branch two:
% 43.22/13.48  																																										| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.48  																																										| (433) all_0_80_80 = e4
% 43.22/13.48  																																										|
% 43.22/13.48  																																											| Equations (433) can reduce 436 to:
% 43.22/13.48  																																											| (311) $false
% 43.22/13.48  																																											|
% 43.22/13.48  																																											|-The branch is then unsatisfiable
% 43.22/13.48  																																				|-Branch two:
% 43.22/13.48  																																				| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.48  																																				| (960) all_0_96_96 = e1
% 43.22/13.48  																																				|
% 43.22/13.48  																																					| Equations (960) can reduce 1479 to:
% 43.22/13.48  																																					| (311) $false
% 43.22/13.48  																																					|
% 43.22/13.48  																																					|-The branch is then unsatisfiable
% 43.22/13.48  																																		|-Branch two:
% 43.22/13.48  																																		| (680)  ~ (all_0_95_95 = e1)
% 43.22/13.48  																																		| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.22/13.48  																																		|
% 43.22/13.48  																																			+-Applying beta-rule and splitting (853), into two cases.
% 43.22/13.48  																																			|-Branch one:
% 43.22/13.48  																																			| (744) all_0_95_95 = e3
% 43.22/13.48  																																			|
% 43.22/13.48  																																				| Equations (744) can reduce 765 to:
% 43.22/13.48  																																				| (311) $false
% 43.22/13.48  																																				|
% 43.22/13.48  																																				|-The branch is then unsatisfiable
% 43.22/13.48  																																			|-Branch two:
% 43.22/13.48  																																			| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.48  																																			| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.22/13.48  																																			|
% 43.22/13.48  																																				+-Applying beta-rule and splitting (857), into two cases.
% 43.22/13.48  																																				|-Branch one:
% 43.22/13.48  																																				| (858) all_0_95_95 = e0
% 43.22/13.48  																																				|
% 43.22/13.48  																																					| Equations (858) can reduce 893 to:
% 43.22/13.48  																																					| (311) $false
% 43.22/13.48  																																					|
% 43.22/13.48  																																					|-The branch is then unsatisfiable
% 43.22/13.48  																																				|-Branch two:
% 43.22/13.48  																																				| (893)  ~ (all_0_95_95 = e0)
% 43.22/13.48  																																				| (894) all_0_95_95 = e4
% 43.22/13.48  																																				|
% 43.22/13.48  																																					| Equations (894) can reduce 315 to:
% 43.22/13.48  																																					| (311) $false
% 43.22/13.48  																																					|
% 43.22/13.48  																																					|-The branch is then unsatisfiable
% 43.22/13.48  																																	|-Branch two:
% 43.22/13.48  																																	| (602)  ~ (all_0_93_93 = e3)
% 43.22/13.48  																																	| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 43.22/13.48  																																	|
% 43.22/13.48  																																		+-Applying beta-rule and splitting (603), into two cases.
% 43.22/13.48  																																		|-Branch one:
% 43.22/13.48  																																		| (604) all_0_93_93 = e0
% 43.22/13.48  																																		|
% 43.22/13.48  																																			| Equations (604) can reduce 509 to:
% 43.22/13.48  																																			| (311) $false
% 43.22/13.48  																																			|
% 43.22/13.48  																																			|-The branch is then unsatisfiable
% 43.22/13.48  																																		|-Branch two:
% 43.22/13.48  																																		| (509)  ~ (all_0_93_93 = e0)
% 43.22/13.48  																																		| (607) all_0_93_93 = e4
% 43.22/13.48  																																		|
% 43.22/13.48  																																			| Equations (607) can reduce 496 to:
% 43.22/13.48  																																			| (311) $false
% 43.22/13.48  																																			|
% 43.22/13.48  																																			|-The branch is then unsatisfiable
% 43.22/13.48  																															|-Branch two:
% 43.22/13.48  																															| (467)  ~ (all_0_90_90 = e4)
% 43.22/13.48  																															| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.22/13.48  																															|
% 43.22/13.48  																																+-Applying beta-rule and splitting (1928), into two cases.
% 43.22/13.48  																																|-Branch one:
% 43.22/13.48  																																| (442) all_0_92_92 = e4
% 43.22/13.48  																																|
% 43.22/13.48  																																	| Equations (442) can reduce 1619 to:
% 43.22/13.48  																																	| (311) $false
% 43.22/13.48  																																	|
% 43.22/13.48  																																	|-The branch is then unsatisfiable
% 43.22/13.48  																																|-Branch two:
% 43.22/13.48  																																| (1619)  ~ (all_0_92_92 = e4)
% 43.22/13.48  																																| (607) all_0_93_93 = e4
% 43.22/13.48  																																|
% 43.22/13.48  																																	| Equations (607) can reduce 496 to:
% 43.22/13.48  																																	| (311) $false
% 43.22/13.48  																																	|
% 43.22/13.48  																																	|-The branch is then unsatisfiable
% 43.22/13.48  																									|-Branch two:
% 43.22/13.48  																									| (793)  ~ (all_0_82_82 = e3)
% 43.22/13.48  																									| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.22/13.48  																									|
% 43.22/13.48  																										+-Applying beta-rule and splitting (641), into two cases.
% 43.22/13.48  																										|-Branch one:
% 43.22/13.48  																										| (433) all_0_80_80 = e4
% 43.22/13.48  																										|
% 43.22/13.48  																											| Equations (433) can reduce 436 to:
% 43.22/13.48  																											| (311) $false
% 43.22/13.48  																											|
% 43.22/13.48  																											|-The branch is then unsatisfiable
% 43.22/13.48  																										|-Branch two:
% 43.22/13.48  																										| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.48  																										| (638) all_0_81_81 = e4
% 43.22/13.48  																										|
% 43.22/13.48  																											+-Applying beta-rule and splitting (250), into two cases.
% 43.22/13.48  																											|-Branch one:
% 43.22/13.48  																											| (635) all_0_81_81 = e3
% 43.22/13.48  																											|
% 43.22/13.48  																												| Combining equations (638,635) yields a new equation:
% 43.22/13.48  																												| (790) e4 = e3
% 43.22/13.48  																												|
% 43.22/13.48  																												| Simplifying 790 yields:
% 43.22/13.48  																												| (434) e4 = e3
% 43.22/13.48  																												|
% 43.22/13.48  																												| Equations (434) can reduce 177 to:
% 43.22/13.48  																												| (311) $false
% 43.22/13.48  																												|
% 43.22/13.48  																												|-The branch is then unsatisfiable
% 43.22/13.48  																											|-Branch two:
% 43.22/13.48  																											| (420)  ~ (all_0_81_81 = e3)
% 43.22/13.48  																											| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.22/13.48  																											|
% 43.22/13.48  																												| Equations (638) can reduce 420 to:
% 43.22/13.48  																												| (177)  ~ (e4 = e3)
% 43.22/13.48  																												|
% 43.22/13.48  																												+-Applying beta-rule and splitting (1296), into two cases.
% 43.22/13.48  																												|-Branch one:
% 43.22/13.48  																												| (795) all_0_83_83 = e3
% 43.22/13.48  																												|
% 43.22/13.48  																													| Combining equations (453,795) yields a new equation:
% 43.22/13.48  																													| (548) e3 = e2
% 43.22/13.48  																													|
% 43.22/13.48  																													| Equations (548) can reduce 169 to:
% 43.22/13.48  																													| (311) $false
% 43.22/13.48  																													|
% 43.22/13.48  																													|-The branch is then unsatisfiable
% 43.22/13.48  																												|-Branch two:
% 43.22/13.48  																												| (779)  ~ (all_0_83_83 = e3)
% 43.22/13.48  																												| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.22/13.48  																												|
% 43.22/13.48  																													+-Applying beta-rule and splitting (1594), into two cases.
% 43.22/13.48  																													|-Branch one:
% 43.22/13.48  																													| (1265) all_0_84_84 = e3
% 43.22/13.48  																													|
% 43.22/13.48  																														| Combining equations (1265,438) yields a new equation:
% 43.22/13.48  																														| (434) e4 = e3
% 43.22/13.48  																														|
% 43.22/13.48  																														| Equations (434) can reduce 177 to:
% 43.22/13.48  																														| (311) $false
% 43.22/13.48  																														|
% 43.22/13.48  																														|-The branch is then unsatisfiable
% 43.22/13.48  																													|-Branch two:
% 43.22/13.48  																													| (422)  ~ (all_0_84_84 = e3)
% 43.22/13.48  																													| (804) all_0_85_85 = e3
% 43.22/13.48  																													|
% 43.22/13.48  																														| Combining equations (954,804) yields a new equation:
% 43.22/13.48  																														| (600) e3 = e0
% 43.22/13.48  																														|
% 43.22/13.48  																														| Equations (600) can reduce 50 to:
% 43.22/13.48  																														| (311) $false
% 43.22/13.48  																														|
% 43.22/13.48  																														|-The branch is then unsatisfiable
% 43.22/13.48  																								|-Branch two:
% 43.22/13.48  																								| (417)  ~ (all_0_84_84 = e4)
% 43.22/13.48  																								| (493) all_0_85_85 = e4
% 43.22/13.48  																								|
% 43.22/13.48  																									| Combining equations (954,493) yields a new equation:
% 43.22/13.49  																									| (912) e4 = e0
% 43.22/13.49  																									|
% 43.22/13.49  																									| Equations (912) can reduce 23 to:
% 43.22/13.49  																									| (311) $false
% 43.22/13.49  																									|
% 43.22/13.49  																									|-The branch is then unsatisfiable
% 43.22/13.49  																						|-Branch two:
% 43.22/13.49  																						| (800)  ~ (all_0_85_85 = e0)
% 43.22/13.49  																						| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.22/13.49  																						|
% 43.22/13.49  																							+-Applying beta-rule and splitting (1309), into two cases.
% 43.22/13.49  																							|-Branch one:
% 43.22/13.49  																							| (798) all_0_83_83 = e0
% 43.22/13.49  																							|
% 43.22/13.49  																								| Combining equations (453,798) yields a new equation:
% 43.22/13.49  																								| (923) e2 = e0
% 43.22/13.49  																								|
% 43.22/13.49  																								| Simplifying 923 yields:
% 43.22/13.49  																								| (379) e2 = e0
% 43.22/13.49  																								|
% 43.22/13.49  																								| Equations (379) can reduce 76 to:
% 43.22/13.49  																								| (311) $false
% 43.22/13.49  																								|
% 43.22/13.49  																								|-The branch is then unsatisfiable
% 43.22/13.49  																							|-Branch two:
% 43.22/13.49  																							| (1314)  ~ (all_0_83_83 = e0)
% 43.22/13.49  																							| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.22/13.49  																							|
% 43.22/13.49  																								| Equations (453) can reduce 1314 to:
% 43.22/13.49  																								| (76)  ~ (e2 = e0)
% 43.22/13.49  																								|
% 43.22/13.49  																								+-Applying beta-rule and splitting (1077), into two cases.
% 43.22/13.49  																								|-Branch one:
% 43.22/13.49  																								| (507) all_0_88_88 = e0
% 43.22/13.49  																								|
% 43.22/13.49  																									| Combining equations (507,504) yields a new equation:
% 43.22/13.49  																									| (865) e1 = e0
% 43.22/13.49  																									|
% 43.22/13.49  																									| Equations (865) can reduce 264 to:
% 43.22/13.49  																									| (311) $false
% 43.22/13.49  																									|
% 43.22/13.49  																									|-The branch is then unsatisfiable
% 43.22/13.49  																								|-Branch two:
% 43.22/13.49  																								| (1110)  ~ (all_0_88_88 = e0)
% 43.22/13.49  																								| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.22/13.49  																								|
% 43.22/13.49  																									+-Applying beta-rule and splitting (1111), into two cases.
% 43.22/13.49  																									|-Branch one:
% 43.22/13.49  																									| (604) all_0_93_93 = e0
% 43.22/13.49  																									|
% 43.22/13.49  																										| Equations (604) can reduce 277 to:
% 43.22/13.49  																										| (257)  ~ (all_0_81_81 = e0)
% 43.22/13.49  																										|
% 43.22/13.49  																										| Equations (604) can reduce 201 to:
% 43.22/13.49  																										| (800)  ~ (all_0_85_85 = e0)
% 43.22/13.49  																										|
% 43.22/13.49  																										| Equations (604) can reduce 34 to:
% 43.22/13.49  																										| (762)  ~ (all_0_90_90 = e0)
% 43.22/13.49  																										|
% 43.22/13.49  																										| Equations (604) can reduce 44 to:
% 43.22/13.49  																										| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.49  																										|
% 43.22/13.49  																										+-Applying beta-rule and splitting (1400), into two cases.
% 43.22/13.49  																										|-Branch one:
% 43.22/13.49  																										| (1456) all_0_91_91 = e0
% 43.22/13.49  																										|
% 43.22/13.49  																											| Equations (1456) can reduce 1487 to:
% 43.22/13.49  																											| (311) $false
% 43.22/13.49  																											|
% 43.22/13.49  																											|-The branch is then unsatisfiable
% 43.22/13.49  																										|-Branch two:
% 43.22/13.49  																										| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.49  																										| (1837) all_0_96_96 = e0
% 43.22/13.49  																										|
% 43.22/13.49  																											| Equations (1837) can reduce 214 to:
% 43.22/13.49  																											| (9)  ~ (all_0_79_79 = e0)
% 43.22/13.49  																											|
% 43.22/13.49  																											| Equations (1837) can reduce 64 to:
% 43.22/13.49  																											| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.49  																											|
% 43.22/13.49  																											| Equations (1837) can reduce 279 to:
% 43.22/13.49  																											| (893)  ~ (all_0_95_95 = e0)
% 43.22/13.49  																											|
% 43.22/13.49  																											| Equations (1837) can reduce 115 to:
% 43.22/13.49  																											| (904)  ~ (e4 = e0)
% 43.22/13.49  																											|
% 43.22/13.49  																											| Simplifying 904 yields:
% 43.22/13.49  																											| (23)  ~ (e4 = e0)
% 43.22/13.49  																											|
% 43.22/13.49  																											| From (1837) and (212) follows:
% 43.22/13.49  																											| (10932) op(e2, e0) = all_0_58_58
% 43.22/13.49  																											|
% 43.22/13.49  																											+-Applying beta-rule and splitting (1315), into two cases.
% 43.22/13.49  																											|-Branch one:
% 43.22/13.49  																											| (916) all_0_84_84 = e0
% 43.22/13.49  																											|
% 43.22/13.49  																												| Equations (916) can reduce 273 to:
% 43.22/13.49  																												| (166)  ~ (all_0_80_80 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Equations (916) can reduce 87 to:
% 43.22/13.49  																												| (2299)  ~ (all_0_92_92 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Simplifying 2299 yields:
% 43.22/13.49  																												| (946)  ~ (all_0_92_92 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Equations (916) can reduce 195 to:
% 43.22/13.49  																												| (938)  ~ (all_0_97_97 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Simplifying 938 yields:
% 43.22/13.49  																												| (609)  ~ (all_0_97_97 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Equations (916) can reduce 259 to:
% 43.22/13.49  																												| (859)  ~ (e1 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Simplifying 859 yields:
% 43.22/13.49  																												| (264)  ~ (e1 = e0)
% 43.22/13.49  																												|
% 43.22/13.49  																												| Instantiating formula (262) with e2, e0, all_0_58_58, e1 and discharging atoms op(e2, e0) = all_0_58_58, op(e2, e0) = e1, yields:
% 43.22/13.49  																												| (10941) all_0_58_58 = e1
% 43.22/13.49  																												|
% 43.22/13.49  																												+-Applying beta-rule and splitting (127), into two cases.
% 43.22/13.49  																												|-Branch one:
% 43.22/13.49  																												| (457) all_0_79_79 = e1
% 43.22/13.49  																												|
% 43.22/13.49  																													| Equations (457) can reduce 17 to:
% 43.22/13.49  																													| (1669)  ~ (all_0_91_91 = e1)
% 43.22/13.49  																													|
% 43.22/13.49  																													| Simplifying 1669 yields:
% 43.22/13.49  																													| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.49  																													|
% 43.22/13.49  																													| Equations (457) can reduce 9 to:
% 43.22/13.49  																													| (264)  ~ (e1 = e0)
% 43.22/13.49  																													|
% 43.22/13.49  																													| From (457) and (184) follows:
% 43.22/13.49  																													| (1679) op(e2, e1) = all_0_52_52
% 43.22/13.49  																													|
% 43.22/13.49  																													+-Applying beta-rule and splitting (284), into two cases.
% 43.22/13.49  																													|-Branch one:
% 43.22/13.49  																													| (1723) all_0_91_91 = e2
% 43.22/13.49  																													|
% 43.22/13.49  																														| Equations (1723) can reduce 296 to:
% 43.22/13.49  																														| (311) $false
% 43.22/13.49  																														|
% 43.22/13.49  																														|-The branch is then unsatisfiable
% 43.22/13.49  																													|-Branch two:
% 43.22/13.49  																													| (296)  ~ (all_0_91_91 = e2)
% 43.22/13.49  																													| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.22/13.49  																													|
% 43.22/13.49  																														+-Applying beta-rule and splitting (1726), into two cases.
% 43.22/13.49  																														|-Branch one:
% 43.22/13.49  																														| (801) all_0_91_91 = e1
% 43.22/13.49  																														|
% 43.22/13.49  																															| Equations (801) can reduce 959 to:
% 43.22/13.49  																															| (311) $false
% 43.22/13.49  																															|
% 43.22/13.49  																															|-The branch is then unsatisfiable
% 43.22/13.49  																														|-Branch two:
% 43.22/13.49  																														| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.49  																														| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.22/13.49  																														|
% 43.22/13.49  																															+-Applying beta-rule and splitting (1880), into two cases.
% 43.22/13.49  																															|-Branch one:
% 43.22/13.49  																															| (588) all_0_91_91 = e3
% 43.22/13.49  																															|
% 43.22/13.49  																																| Equations (588) can reduce 133 to:
% 43.22/13.49  																																| (783)  ~ (e4 = e3)
% 43.22/13.49  																																|
% 43.22/13.49  																																| Simplifying 783 yields:
% 43.22/13.49  																																| (177)  ~ (e4 = e3)
% 43.22/13.49  																																|
% 43.22/13.49  																																| From (588) and (222) follows:
% 43.22/13.49  																																| (8109) op(e2, e3) = all_0_56_56
% 43.22/13.49  																																|
% 43.22/13.49  																																| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 43.22/13.49  																																| (10959) all_0_56_56 = e0
% 43.22/13.49  																																|
% 43.22/13.49  																																| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 43.22/13.49  																																| (10960) all_0_52_52 = e2
% 43.22/13.49  																																|
% 43.22/13.49  																																+-Applying beta-rule and splitting (33), into two cases.
% 43.22/13.49  																																|-Branch one:
% 43.22/13.49  																																| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.22/13.49  																																|
% 43.22/13.49  																																	+-Applying beta-rule and splitting (1686), into two cases.
% 43.22/13.49  																																	|-Branch one:
% 43.22/13.49  																																	| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.22/13.49  																																	|
% 43.22/13.49  																																		+-Applying beta-rule and splitting (1687), into two cases.
% 43.22/13.49  																																		|-Branch one:
% 43.22/13.49  																																		| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.22/13.49  																																		|
% 43.22/13.49  																																			| Applying alpha-rule on (1688) yields:
% 43.22/13.49  																																			| (1689) all_0_52_52 = e4
% 43.22/13.49  																																			| (1690)  ~ (all_0_53_53 = e2)
% 43.22/13.49  																																			|
% 43.22/13.49  																																			| Combining equations (10960,1689) yields a new equation:
% 43.22/13.49  																																			| (310) e4 = e2
% 43.22/13.49  																																			|
% 43.22/13.49  																																			| Equations (310) can reduce 79 to:
% 43.22/13.49  																																			| (311) $false
% 43.22/13.49  																																			|
% 43.22/13.49  																																			|-The branch is then unsatisfiable
% 43.22/13.49  																																		|-Branch two:
% 43.22/13.49  																																		| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.22/13.49  																																		|
% 43.22/13.49  																																			| Applying alpha-rule on (1694) yields:
% 43.22/13.49  																																			| (1695) all_0_54_54 = e3
% 43.22/13.49  																																			| (1696)  ~ (all_0_55_55 = e2)
% 43.22/13.49  																																			|
% 43.22/13.49  																																			| Combining equations (1647,1695) yields a new equation:
% 43.22/13.49  																																			| (790) e4 = e3
% 43.22/13.49  																																			|
% 43.22/13.49  																																			| Simplifying 790 yields:
% 43.22/13.49  																																			| (434) e4 = e3
% 43.22/13.49  																																			|
% 43.22/13.49  																																			| Equations (434) can reduce 177 to:
% 43.22/13.49  																																			| (311) $false
% 43.22/13.49  																																			|
% 43.22/13.49  																																			|-The branch is then unsatisfiable
% 43.22/13.49  																																	|-Branch two:
% 43.22/13.49  																																	| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.22/13.49  																																	|
% 43.22/13.49  																																		| Applying alpha-rule on (1700) yields:
% 43.22/13.49  																																		| (1701) all_0_56_56 = e1
% 43.22/13.49  																																		| (1702)  ~ (all_0_57_57 = e2)
% 43.22/13.49  																																		|
% 43.22/13.49  																																		| Combining equations (10959,1701) yields a new equation:
% 43.22/13.49  																																		| (865) e1 = e0
% 43.22/13.49  																																		|
% 43.22/13.49  																																		| Equations (865) can reduce 264 to:
% 43.22/13.49  																																		| (311) $false
% 43.22/13.49  																																		|
% 43.22/13.49  																																		|-The branch is then unsatisfiable
% 43.22/13.49  																																|-Branch two:
% 43.22/13.49  																																| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.22/13.49  																																|
% 43.22/13.49  																																	| Applying alpha-rule on (4957) yields:
% 43.22/13.49  																																	| (4958) all_0_58_58 = e0
% 43.22/13.49  																																	| (4959)  ~ (all_0_59_59 = e2)
% 43.22/13.49  																																	|
% 43.22/13.49  																																	| Combining equations (10941,4958) yields a new equation:
% 43.22/13.49  																																	| (1107) e1 = e0
% 43.22/13.49  																																	|
% 43.22/13.49  																																	| Simplifying 1107 yields:
% 43.22/13.49  																																	| (865) e1 = e0
% 43.22/13.49  																																	|
% 43.22/13.49  																																	| Equations (865) can reduce 264 to:
% 43.22/13.49  																																	| (311) $false
% 43.22/13.49  																																	|
% 43.22/13.49  																																	|-The branch is then unsatisfiable
% 43.22/13.49  																															|-Branch two:
% 43.22/13.49  																															| (571)  ~ (all_0_91_91 = e3)
% 43.22/13.49  																															| (1456) all_0_91_91 = e0
% 43.22/13.49  																															|
% 43.22/13.49  																																| Equations (1456) can reduce 1487 to:
% 43.22/13.49  																																| (311) $false
% 43.22/13.49  																																|
% 43.22/13.49  																																|-The branch is then unsatisfiable
% 43.22/13.49  																												|-Branch two:
% 43.22/13.49  																												| (461)  ~ (all_0_79_79 = e1)
% 43.22/13.49  																												| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.22/13.49  																												|
% 43.22/13.49  																													+-Applying beta-rule and splitting (462), into two cases.
% 43.22/13.49  																													|-Branch one:
% 43.22/13.49  																													| (801) all_0_91_91 = e1
% 43.22/13.49  																													|
% 43.22/13.49  																														| Equations (801) can reduce 103 to:
% 43.22/13.49  																														| (678)  ~ (all_0_90_90 = e1)
% 43.22/13.49  																														|
% 43.22/13.49  																														| Equations (801) can reduce 1487 to:
% 43.22/13.49  																														| (264)  ~ (e1 = e0)
% 43.22/13.49  																														|
% 43.22/13.49  																														| From (801) and (222) follows:
% 43.22/13.49  																														| (10993) op(e2, e1) = all_0_56_56
% 43.22/13.49  																														|
% 43.22/13.49  																														+-Applying beta-rule and splitting (285), into two cases.
% 43.22/13.49  																														|-Branch one:
% 43.22/13.49  																														| (1708) all_0_79_79 = e3
% 43.22/13.49  																														|
% 43.22/13.49  																															| Equations (1708) can reduce 63 to:
% 43.22/13.49  																															| (3267)  ~ (all_0_80_80 = e3)
% 43.22/13.49  																															|
% 43.22/13.49  																															| Simplifying 3267 yields:
% 43.22/13.49  																															| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.49  																															|
% 43.22/13.49  																															| Equations (1708) can reduce 15 to:
% 43.22/13.49  																															| (419)  ~ (all_0_81_81 = e3)
% 43.22/13.49  																															|
% 43.22/13.49  																															| Simplifying 419 yields:
% 43.22/13.49  																															| (420)  ~ (all_0_81_81 = e3)
% 43.22/13.49  																															|
% 43.22/13.49  																															| Equations (1708) can reduce 235 to:
% 43.22/13.49  																															| (783)  ~ (e4 = e3)
% 43.22/13.49  																															|
% 43.22/13.49  																															| Simplifying 783 yields:
% 43.22/13.49  																															| (177)  ~ (e4 = e3)
% 43.22/13.49  																															|
% 43.22/13.50  																															| Equations (1708) can reduce 1622 to:
% 43.22/13.50  																															| (169)  ~ (e3 = e2)
% 43.22/13.50  																															|
% 43.22/13.50  																															| Equations (1708) can reduce 9 to:
% 43.22/13.50  																															| (50)  ~ (e3 = e0)
% 43.22/13.50  																															|
% 43.22/13.50  																															| From (1708) and (184) follows:
% 43.22/13.50  																															| (11003) op(e2, e3) = all_0_52_52
% 43.22/13.50  																															|
% 43.22/13.50  																															+-Applying beta-rule and splitting (250), into two cases.
% 43.22/13.50  																															|-Branch one:
% 43.22/13.50  																															| (635) all_0_81_81 = e3
% 43.22/13.50  																															|
% 43.22/13.50  																																| Equations (635) can reduce 420 to:
% 43.22/13.50  																																| (311) $false
% 43.22/13.50  																																|
% 43.22/13.50  																																|-The branch is then unsatisfiable
% 43.22/13.50  																															|-Branch two:
% 43.22/13.50  																															| (420)  ~ (all_0_81_81 = e3)
% 43.22/13.50  																															| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.22/13.50  																															|
% 43.22/13.50  																																+-Applying beta-rule and splitting (4488), into two cases.
% 43.22/13.50  																																|-Branch one:
% 43.22/13.50  																																| (804) all_0_85_85 = e3
% 43.22/13.50  																																|
% 43.22/13.50  																																	+-Applying beta-rule and splitting (109), into two cases.
% 43.22/13.50  																																	|-Branch one:
% 43.22/13.50  																																	| (469) all_0_82_82 = e4
% 43.22/13.50  																																	|
% 43.22/13.50  																																		| Equations (469) can reduce 255 to:
% 43.22/13.50  																																		| (466)  ~ (all_0_90_90 = e4)
% 43.22/13.50  																																		|
% 43.22/13.50  																																		| Simplifying 466 yields:
% 43.22/13.50  																																		| (467)  ~ (all_0_90_90 = e4)
% 43.22/13.50  																																		|
% 43.22/13.50  																																		| Equations (469) can reduce 200 to:
% 43.22/13.50  																																		| (314)  ~ (all_0_95_95 = e4)
% 43.22/13.50  																																		|
% 43.22/13.50  																																		| Simplifying 314 yields:
% 43.22/13.50  																																		| (315)  ~ (all_0_95_95 = e4)
% 43.22/13.50  																																		|
% 43.22/13.50  																																		+-Applying beta-rule and splitting (168), into two cases.
% 43.22/13.50  																																		|-Branch one:
% 43.22/13.50  																																		| (638) all_0_81_81 = e4
% 43.22/13.50  																																		|
% 43.22/13.50  																																			| Equations (638) can reduce 144 to:
% 43.22/13.50  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.50  																																			|
% 43.22/13.50  																																			| Equations (638) can reduce 257 to:
% 43.22/13.50  																																			| (23)  ~ (e4 = e0)
% 43.22/13.50  																																			|
% 43.22/13.50  																																			+-Applying beta-rule and splitting (210), into two cases.
% 43.22/13.50  																																			|-Branch one:
% 43.22/13.50  																																			| (433) all_0_80_80 = e4
% 43.22/13.50  																																			|
% 43.22/13.50  																																				| Equations (433) can reduce 436 to:
% 43.22/13.50  																																				| (311) $false
% 43.22/13.50  																																				|
% 43.22/13.50  																																				|-The branch is then unsatisfiable
% 43.22/13.50  																																			|-Branch two:
% 43.22/13.50  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.50  																																			| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.22/13.50  																																			|
% 43.22/13.50  																																				+-Applying beta-rule and splitting (45), into two cases.
% 43.22/13.50  																																				|-Branch one:
% 43.22/13.50  																																				| (546) all_0_80_80 = e2
% 43.22/13.50  																																				|
% 43.22/13.50  																																					| Equations (546) can reduce 394 to:
% 43.22/13.50  																																					| (311) $false
% 43.22/13.50  																																					|
% 43.22/13.50  																																					|-The branch is then unsatisfiable
% 43.22/13.50  																																				|-Branch two:
% 43.22/13.50  																																				| (394)  ~ (all_0_80_80 = e2)
% 43.22/13.50  																																				| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.22/13.50  																																				|
% 43.22/13.50  																																					+-Applying beta-rule and splitting (27), into two cases.
% 43.22/13.50  																																					|-Branch one:
% 43.22/13.50  																																					| (746) all_0_90_90 = e2
% 43.22/13.50  																																					|
% 43.22/13.50  																																						| Equations (746) can reduce 294 to:
% 43.22/13.50  																																						| (311) $false
% 43.22/13.50  																																						|
% 43.22/13.50  																																						|-The branch is then unsatisfiable
% 43.22/13.50  																																					|-Branch two:
% 43.22/13.50  																																					| (294)  ~ (all_0_90_90 = e2)
% 43.22/13.50  																																					| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.22/13.50  																																					|
% 43.22/13.50  																																						+-Applying beta-rule and splitting (749), into two cases.
% 43.22/13.50  																																						|-Branch one:
% 43.22/13.50  																																						| (750) all_0_90_90 = e1
% 43.22/13.50  																																						|
% 43.22/13.50  																																							| Equations (750) can reduce 678 to:
% 43.22/13.50  																																							| (311) $false
% 43.22/13.50  																																							|
% 43.22/13.50  																																							|-The branch is then unsatisfiable
% 43.22/13.50  																																						|-Branch two:
% 43.22/13.50  																																						| (678)  ~ (all_0_90_90 = e1)
% 43.22/13.50  																																						| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 43.22/13.50  																																						|
% 43.22/13.50  																																							+-Applying beta-rule and splitting (753), into two cases.
% 43.22/13.50  																																							|-Branch one:
% 43.22/13.50  																																							| (754) all_0_90_90 = e3
% 43.22/13.50  																																							|
% 43.22/13.50  																																								| Equations (754) can reduce 72 to:
% 43.22/13.50  																																								| (425)  ~ (all_0_92_92 = e3)
% 43.22/13.50  																																								|
% 43.22/13.50  																																								| Simplifying 425 yields:
% 43.22/13.50  																																								| (426)  ~ (all_0_92_92 = e3)
% 43.22/13.50  																																								|
% 43.22/13.50  																																								| Equations (754) can reduce 762 to:
% 43.22/13.50  																																								| (50)  ~ (e3 = e0)
% 43.22/13.50  																																								|
% 43.22/13.50  																																								+-Applying beta-rule and splitting (3232), into two cases.
% 43.22/13.50  																																								|-Branch one:
% 43.22/13.50  																																								| (824) all_0_80_80 = e1
% 43.22/13.50  																																								|
% 43.22/13.50  																																									| Equations (824) can reduce 2347 to:
% 43.22/13.50  																																									| (683)  ~ (e3 = e1)
% 43.22/13.50  																																									|
% 43.22/13.50  																																									| Simplifying 683 yields:
% 43.22/13.50  																																									| (20)  ~ (e3 = e1)
% 43.22/13.50  																																									|
% 43.22/13.50  																																									+-Applying beta-rule and splitting (207), into two cases.
% 43.22/13.50  																																									|-Branch one:
% 43.22/13.50  																																									| (416) all_0_80_80 = e3
% 43.22/13.50  																																									|
% 43.22/13.50  																																										| Combining equations (824,416) yields a new equation:
% 43.22/13.50  																																										| (772) e3 = e1
% 43.22/13.50  																																										|
% 43.22/13.50  																																										| Equations (772) can reduce 20 to:
% 43.22/13.50  																																										| (311) $false
% 43.22/13.50  																																										|
% 43.22/13.50  																																										|-The branch is then unsatisfiable
% 43.22/13.50  																																									|-Branch two:
% 43.22/13.50  																																									| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.50  																																									| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.22/13.50  																																									|
% 43.22/13.50  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 43.22/13.50  																																										|-Branch one:
% 43.22/13.50  																																										| (1265) all_0_84_84 = e3
% 43.22/13.50  																																										|
% 43.22/13.50  																																											| Combining equations (916,1265) yields a new equation:
% 43.22/13.50  																																											| (600) e3 = e0
% 43.22/13.50  																																											|
% 43.22/13.50  																																											| Equations (600) can reduce 50 to:
% 43.22/13.50  																																											| (311) $false
% 43.22/13.50  																																											|
% 43.22/13.50  																																											|-The branch is then unsatisfiable
% 43.22/13.50  																																										|-Branch two:
% 43.22/13.50  																																										| (422)  ~ (all_0_84_84 = e3)
% 43.22/13.50  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.22/13.50  																																										|
% 43.22/13.50  																																											+-Applying beta-rule and splitting (3765), into two cases.
% 43.22/13.50  																																											|-Branch one:
% 43.22/13.50  																																											| (882) all_0_92_92 = e3
% 43.22/13.50  																																											|
% 43.22/13.50  																																												| Equations (882) can reduce 426 to:
% 43.22/13.50  																																												| (311) $false
% 43.22/13.50  																																												|
% 43.22/13.50  																																												|-The branch is then unsatisfiable
% 43.22/13.50  																																											|-Branch two:
% 43.22/13.50  																																											| (426)  ~ (all_0_92_92 = e3)
% 43.22/13.50  																																											| (556) all_0_97_97 = e3
% 43.22/13.50  																																											|
% 43.22/13.50  																																												| Equations (556) can reduce 258 to:
% 43.22/13.50  																																												| (426)  ~ (all_0_92_92 = e3)
% 43.22/13.50  																																												|
% 43.22/13.50  																																												| Equations (556) can reduce 105 to:
% 43.22/13.50  																																												| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.50  																																												|
% 43.22/13.50  																																												| Equations (556) can reduce 319 to:
% 43.22/13.50  																																												| (783)  ~ (e4 = e3)
% 43.22/13.50  																																												|
% 43.22/13.50  																																												| Simplifying 783 yields:
% 43.22/13.50  																																												| (177)  ~ (e4 = e3)
% 43.22/13.50  																																												|
% 43.22/13.50  																																												+-Applying beta-rule and splitting (437), into two cases.
% 43.22/13.50  																																												|-Branch one:
% 43.22/13.50  																																												| (438) all_0_84_84 = e4
% 43.22/13.50  																																												|
% 43.22/13.50  																																													| Combining equations (916,438) yields a new equation:
% 43.22/13.50  																																													| (912) e4 = e0
% 43.22/13.50  																																													|
% 43.22/13.50  																																													| Equations (912) can reduce 23 to:
% 43.22/13.50  																																													| (311) $false
% 43.22/13.50  																																													|
% 43.22/13.50  																																													|-The branch is then unsatisfiable
% 43.22/13.50  																																												|-Branch two:
% 43.22/13.50  																																												| (417)  ~ (all_0_84_84 = e4)
% 43.22/13.50  																																												| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.22/13.50  																																												|
% 43.22/13.50  																																													+-Applying beta-rule and splitting (441), into two cases.
% 43.22/13.50  																																													|-Branch one:
% 43.22/13.50  																																													| (442) all_0_92_92 = e4
% 43.22/13.50  																																													|
% 43.22/13.50  																																														| Equations (442) can reduce 426 to:
% 43.22/13.50  																																														| (177)  ~ (e4 = e3)
% 43.22/13.50  																																														|
% 43.22/13.50  																																														| Equations (442) can reduce 946 to:
% 43.22/13.50  																																														| (23)  ~ (e4 = e0)
% 43.22/13.50  																																														|
% 43.22/13.50  																																														+-Applying beta-rule and splitting (176), into two cases.
% 43.22/13.50  																																														|-Branch one:
% 43.22/13.50  																																														| (785) all_0_95_95 = e1
% 43.22/13.50  																																														|
% 43.22/13.50  																																															| Equations (785) can reduce 355 to:
% 43.22/13.50  																																															| (487)  ~ (e2 = e1)
% 43.22/13.50  																																															|
% 43.22/13.50  																																															| Simplifying 487 yields:
% 43.22/13.50  																																															| (243)  ~ (e2 = e1)
% 43.22/13.50  																																															|
% 43.22/13.50  																																															| Equations (785) can reduce 893 to:
% 43.22/13.50  																																															| (264)  ~ (e1 = e0)
% 43.22/13.50  																																															|
% 43.22/13.50  																																															| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 43.22/13.50  																																															| (11070) all_0_52_52 = e0
% 43.22/13.50  																																															|
% 43.22/13.50  																																															| Instantiating formula (262) with e2, e1, all_0_56_56, e2 and discharging atoms op(e2, e1) = all_0_56_56, op(e2, e1) = e2, yields:
% 43.22/13.50  																																															| (8110) all_0_56_56 = e2
% 43.22/13.50  																																															|
% 43.22/13.50  																																															+-Applying beta-rule and splitting (33), into two cases.
% 43.22/13.50  																																															|-Branch one:
% 43.22/13.50  																																															| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.22/13.50  																																															|
% 43.22/13.50  																																																+-Applying beta-rule and splitting (1686), into two cases.
% 43.22/13.50  																																																|-Branch one:
% 43.22/13.50  																																																| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.22/13.50  																																																|
% 43.22/13.50  																																																	+-Applying beta-rule and splitting (1687), into two cases.
% 43.22/13.50  																																																	|-Branch one:
% 43.22/13.50  																																																	| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																		| Applying alpha-rule on (1688) yields:
% 43.22/13.50  																																																		| (1689) all_0_52_52 = e4
% 43.22/13.50  																																																		| (1690)  ~ (all_0_53_53 = e2)
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		| Combining equations (1689,11070) yields a new equation:
% 43.22/13.50  																																																		| (911) e4 = e0
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		| Simplifying 911 yields:
% 43.22/13.50  																																																		| (912) e4 = e0
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		| Equations (912) can reduce 23 to:
% 43.22/13.50  																																																		| (311) $false
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		|-The branch is then unsatisfiable
% 43.22/13.50  																																																	|-Branch two:
% 43.22/13.50  																																																	| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																		| Applying alpha-rule on (1694) yields:
% 43.22/13.50  																																																		| (1695) all_0_54_54 = e3
% 43.22/13.50  																																																		| (1696)  ~ (all_0_55_55 = e2)
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		| Combining equations (1695,1647) yields a new equation:
% 43.22/13.50  																																																		| (434) e4 = e3
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		| Equations (434) can reduce 177 to:
% 43.22/13.50  																																																		| (311) $false
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		|-The branch is then unsatisfiable
% 43.22/13.50  																																																|-Branch two:
% 43.22/13.50  																																																| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.22/13.50  																																																|
% 43.22/13.50  																																																	| Applying alpha-rule on (1700) yields:
% 43.22/13.50  																																																	| (1701) all_0_56_56 = e1
% 43.22/13.50  																																																	| (1702)  ~ (all_0_57_57 = e2)
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																	| Combining equations (1701,8110) yields a new equation:
% 43.22/13.50  																																																	| (385) e2 = e1
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																	| Equations (385) can reduce 243 to:
% 43.22/13.50  																																																	| (311) $false
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																	|-The branch is then unsatisfiable
% 43.22/13.50  																																															|-Branch two:
% 43.22/13.50  																																															| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.22/13.50  																																															|
% 43.22/13.50  																																																| Applying alpha-rule on (4957) yields:
% 43.22/13.50  																																																| (4958) all_0_58_58 = e0
% 43.22/13.50  																																																| (4959)  ~ (all_0_59_59 = e2)
% 43.22/13.50  																																																|
% 43.22/13.50  																																																| Combining equations (10941,4958) yields a new equation:
% 43.22/13.50  																																																| (1107) e1 = e0
% 43.22/13.50  																																																|
% 43.22/13.50  																																																| Simplifying 1107 yields:
% 43.22/13.50  																																																| (865) e1 = e0
% 43.22/13.50  																																																|
% 43.22/13.50  																																																| Equations (865) can reduce 264 to:
% 43.22/13.50  																																																| (311) $false
% 43.22/13.50  																																																|
% 43.22/13.50  																																																|-The branch is then unsatisfiable
% 43.22/13.50  																																														|-Branch two:
% 43.22/13.50  																																														| (680)  ~ (all_0_95_95 = e1)
% 43.22/13.50  																																														| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.22/13.50  																																														|
% 43.22/13.50  																																															+-Applying beta-rule and splitting (99), into two cases.
% 43.22/13.50  																																															|-Branch one:
% 43.22/13.50  																																															| (767) all_0_95_95 = e2
% 43.22/13.50  																																															|
% 43.22/13.50  																																																| Equations (767) can reduce 355 to:
% 43.22/13.50  																																																| (311) $false
% 43.22/13.50  																																																|
% 43.22/13.50  																																																|-The branch is then unsatisfiable
% 43.22/13.50  																																															|-Branch two:
% 43.22/13.50  																																															| (355)  ~ (all_0_95_95 = e2)
% 43.22/13.50  																																															| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.22/13.50  																																															|
% 43.22/13.50  																																																+-Applying beta-rule and splitting (770), into two cases.
% 43.22/13.50  																																																|-Branch one:
% 43.22/13.50  																																																| (785) all_0_95_95 = e1
% 43.22/13.50  																																																|
% 43.22/13.50  																																																	| Equations (785) can reduce 680 to:
% 43.22/13.50  																																																	| (311) $false
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																	|-The branch is then unsatisfiable
% 43.22/13.50  																																																|-Branch two:
% 43.22/13.50  																																																| (680)  ~ (all_0_95_95 = e1)
% 43.22/13.50  																																																| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.22/13.50  																																																|
% 43.22/13.50  																																																	+-Applying beta-rule and splitting (853), into two cases.
% 43.22/13.50  																																																	|-Branch one:
% 43.22/13.50  																																																	| (744) all_0_95_95 = e3
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																		| Equations (744) can reduce 765 to:
% 43.22/13.50  																																																		| (311) $false
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																		|-The branch is then unsatisfiable
% 43.22/13.50  																																																	|-Branch two:
% 43.22/13.50  																																																	| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.50  																																																	| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.22/13.50  																																																	|
% 43.22/13.50  																																																		+-Applying beta-rule and splitting (857), into two cases.
% 43.22/13.50  																																																		|-Branch one:
% 43.22/13.50  																																																		| (858) all_0_95_95 = e0
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																			| Equations (858) can reduce 893 to:
% 43.22/13.50  																																																			| (311) $false
% 43.22/13.50  																																																			|
% 43.22/13.50  																																																			|-The branch is then unsatisfiable
% 43.22/13.50  																																																		|-Branch two:
% 43.22/13.50  																																																		| (893)  ~ (all_0_95_95 = e0)
% 43.22/13.50  																																																		| (894) all_0_95_95 = e4
% 43.22/13.50  																																																		|
% 43.22/13.50  																																																			| Equations (894) can reduce 315 to:
% 43.22/13.50  																																																			| (311) $false
% 43.22/13.50  																																																			|
% 43.22/13.50  																																																			|-The branch is then unsatisfiable
% 43.22/13.50  																																													|-Branch two:
% 43.22/13.50  																																													| (1619)  ~ (all_0_92_92 = e4)
% 43.22/13.50  																																													| (610) all_0_97_97 = e4
% 43.22/13.50  																																													|
% 43.22/13.50  																																														| Combining equations (610,556) yields a new equation:
% 43.22/13.50  																																														| (790) e4 = e3
% 43.22/13.50  																																														|
% 43.22/13.50  																																														| Simplifying 790 yields:
% 43.22/13.50  																																														| (434) e4 = e3
% 43.22/13.50  																																														|
% 43.22/13.50  																																														| Equations (434) can reduce 177 to:
% 43.22/13.50  																																														| (311) $false
% 43.22/13.50  																																														|
% 43.22/13.50  																																														|-The branch is then unsatisfiable
% 43.22/13.50  																																								|-Branch two:
% 43.22/13.50  																																								| (828)  ~ (all_0_80_80 = e1)
% 43.22/13.50  																																								| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.22/13.50  																																								|
% 43.22/13.50  																																									+-Applying beta-rule and splitting (4018), into two cases.
% 43.22/13.50  																																									|-Branch one:
% 43.22/13.50  																																									| (416) all_0_80_80 = e3
% 43.22/13.50  																																									|
% 43.22/13.50  																																										| Equations (416) can reduce 2347 to:
% 43.22/13.50  																																										| (311) $false
% 43.22/13.50  																																										|
% 43.22/13.50  																																										|-The branch is then unsatisfiable
% 43.22/13.50  																																									|-Branch two:
% 43.22/13.50  																																									| (2347)  ~ (all_0_80_80 = e3)
% 43.22/13.50  																																									| (433) all_0_80_80 = e4
% 43.22/13.50  																																									|
% 43.22/13.50  																																										| Equations (433) can reduce 436 to:
% 43.22/13.50  																																										| (311) $false
% 43.22/13.50  																																										|
% 43.22/13.50  																																										|-The branch is then unsatisfiable
% 43.22/13.50  																																							|-Branch two:
% 43.22/13.50  																																							| (745)  ~ (all_0_90_90 = e3)
% 43.22/13.50  																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 43.22/13.50  																																							|
% 43.22/13.50  																																								+-Applying beta-rule and splitting (757), into two cases.
% 43.22/13.50  																																								|-Branch one:
% 43.22/13.50  																																								| (758) all_0_90_90 = e0
% 43.22/13.50  																																								|
% 43.22/13.50  																																									| Equations (758) can reduce 762 to:
% 43.22/13.50  																																									| (311) $false
% 43.22/13.50  																																									|
% 43.22/13.50  																																									|-The branch is then unsatisfiable
% 43.22/13.50  																																								|-Branch two:
% 43.22/13.50  																																								| (762)  ~ (all_0_90_90 = e0)
% 43.22/13.50  																																								| (583) all_0_90_90 = e4
% 43.22/13.50  																																								|
% 43.22/13.50  																																									| Equations (583) can reduce 467 to:
% 43.22/13.50  																																									| (311) $false
% 43.22/13.50  																																									|
% 43.22/13.50  																																									|-The branch is then unsatisfiable
% 43.22/13.50  																																		|-Branch two:
% 43.22/13.50  																																		| (634)  ~ (all_0_81_81 = e4)
% 43.22/13.50  																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.22/13.50  																																		|
% 43.22/13.50  																																			+-Applying beta-rule and splitting (641), into two cases.
% 43.22/13.50  																																			|-Branch one:
% 43.22/13.51  																																			| (433) all_0_80_80 = e4
% 43.22/13.51  																																			|
% 43.22/13.51  																																				| Equations (433) can reduce 2347 to:
% 43.22/13.51  																																				| (177)  ~ (e4 = e3)
% 43.22/13.51  																																				|
% 43.22/13.51  																																				| Equations (433) can reduce 394 to:
% 43.22/13.51  																																				| (79)  ~ (e4 = e2)
% 43.22/13.51  																																				|
% 43.22/13.51  																																				| Equations (433) can reduce 166 to:
% 43.22/13.51  																																				| (23)  ~ (e4 = e0)
% 43.22/13.51  																																				|
% 43.22/13.51  																																				+-Applying beta-rule and splitting (2559), into two cases.
% 43.22/13.51  																																				|-Branch one:
% 43.22/13.51  																																				| (493) all_0_85_85 = e4
% 43.22/13.51  																																				|
% 43.22/13.51  																																					| Combining equations (804,493) yields a new equation:
% 43.22/13.51  																																					| (434) e4 = e3
% 43.22/13.51  																																					|
% 43.22/13.51  																																					| Equations (434) can reduce 177 to:
% 43.22/13.51  																																					| (311) $false
% 43.22/13.51  																																					|
% 43.22/13.51  																																					|-The branch is then unsatisfiable
% 43.22/13.51  																																				|-Branch two:
% 43.22/13.51  																																				| (648)  ~ (all_0_85_85 = e4)
% 43.22/13.51  																																				| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 43.22/13.51  																																				|
% 43.22/13.51  																																					+-Applying beta-rule and splitting (2576), into two cases.
% 43.22/13.51  																																					|-Branch one:
% 43.22/13.51  																																					| (607) all_0_93_93 = e4
% 43.22/13.51  																																					|
% 43.22/13.51  																																						| Combining equations (604,607) yields a new equation:
% 43.22/13.51  																																						| (912) e4 = e0
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Equations (912) can reduce 23 to:
% 43.22/13.51  																																						| (311) $false
% 43.22/13.51  																																						|
% 43.22/13.51  																																						|-The branch is then unsatisfiable
% 43.22/13.51  																																					|-Branch two:
% 43.22/13.51  																																					| (496)  ~ (all_0_93_93 = e4)
% 43.22/13.51  																																					| (2650) all_0_98_98 = e4
% 43.22/13.51  																																					|
% 43.22/13.51  																																						| Combining equations (2650,525) yields a new equation:
% 43.22/13.51  																																						| (309) e4 = e2
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Simplifying 309 yields:
% 43.22/13.51  																																						| (310) e4 = e2
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Equations (310) can reduce 79 to:
% 43.22/13.51  																																						| (311) $false
% 43.22/13.51  																																						|
% 43.22/13.51  																																						|-The branch is then unsatisfiable
% 43.22/13.51  																																			|-Branch two:
% 43.22/13.51  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.22/13.51  																																			| (638) all_0_81_81 = e4
% 43.22/13.51  																																			|
% 43.22/13.51  																																				| Equations (638) can reduce 634 to:
% 43.22/13.51  																																				| (311) $false
% 43.22/13.51  																																				|
% 43.22/13.51  																																				|-The branch is then unsatisfiable
% 43.22/13.51  																																	|-Branch two:
% 43.22/13.51  																																	| (465)  ~ (all_0_82_82 = e4)
% 43.22/13.51  																																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.22/13.51  																																	|
% 43.22/13.51  																																		+-Applying beta-rule and splitting (472), into two cases.
% 43.22/13.51  																																		|-Branch one:
% 43.22/13.51  																																		| (438) all_0_84_84 = e4
% 43.22/13.51  																																		|
% 43.22/13.51  																																			| Combining equations (916,438) yields a new equation:
% 43.22/13.51  																																			| (912) e4 = e0
% 43.22/13.51  																																			|
% 43.22/13.51  																																			| Equations (912) can reduce 23 to:
% 43.22/13.51  																																			| (311) $false
% 43.22/13.51  																																			|
% 43.22/13.51  																																			|-The branch is then unsatisfiable
% 43.22/13.51  																																		|-Branch two:
% 43.22/13.51  																																		| (417)  ~ (all_0_84_84 = e4)
% 43.22/13.51  																																		| (493) all_0_85_85 = e4
% 43.22/13.51  																																		|
% 43.22/13.51  																																			| Combining equations (804,493) yields a new equation:
% 43.22/13.51  																																			| (434) e4 = e3
% 43.22/13.51  																																			|
% 43.22/13.51  																																			| Equations (434) can reduce 177 to:
% 43.22/13.51  																																			| (311) $false
% 43.22/13.51  																																			|
% 43.22/13.51  																																			|-The branch is then unsatisfiable
% 43.22/13.51  																																|-Branch two:
% 43.22/13.51  																																| (952)  ~ (all_0_85_85 = e3)
% 43.22/13.51  																																| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.22/13.51  																																|
% 43.22/13.51  																																	+-Applying beta-rule and splitting (4559), into two cases.
% 43.22/13.51  																																	|-Branch one:
% 43.22/13.51  																																	| (570) all_0_93_93 = e3
% 43.22/13.51  																																	|
% 43.22/13.51  																																		| Combining equations (570,604) yields a new equation:
% 43.22/13.51  																																		| (599) e3 = e0
% 43.22/13.51  																																		|
% 43.22/13.51  																																		| Simplifying 599 yields:
% 43.22/13.51  																																		| (600) e3 = e0
% 43.22/13.51  																																		|
% 43.22/13.51  																																		| Equations (600) can reduce 50 to:
% 43.22/13.51  																																		| (311) $false
% 43.22/13.51  																																		|
% 43.22/13.51  																																		|-The branch is then unsatisfiable
% 43.22/13.51  																																	|-Branch two:
% 43.22/13.51  																																	| (602)  ~ (all_0_93_93 = e3)
% 43.22/13.51  																																	| (969) all_0_98_98 = e3
% 43.22/13.51  																																	|
% 43.22/13.51  																																		| Combining equations (525,969) yields a new equation:
% 43.22/13.51  																																		| (548) e3 = e2
% 43.22/13.51  																																		|
% 43.22/13.51  																																		| Equations (548) can reduce 169 to:
% 43.22/13.51  																																		| (311) $false
% 43.22/13.51  																																		|
% 43.22/13.51  																																		|-The branch is then unsatisfiable
% 43.22/13.51  																														|-Branch two:
% 43.22/13.51  																														| (1711)  ~ (all_0_79_79 = e3)
% 43.22/13.51  																														| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 43.22/13.51  																														|
% 43.22/13.51  																															+-Applying beta-rule and splitting (1718), into two cases.
% 43.22/13.51  																															|-Branch one:
% 43.22/13.51  																															| (384) all_0_86_86 = e1
% 43.22/13.51  																															|
% 43.22/13.51  																																| Combining equations (378,384) yields a new equation:
% 43.22/13.51  																																| (865) e1 = e0
% 43.22/13.51  																																|
% 43.22/13.51  																																| Equations (865) can reduce 264 to:
% 43.22/13.51  																																| (311) $false
% 43.22/13.51  																																|
% 43.22/13.51  																																|-The branch is then unsatisfiable
% 43.22/13.51  																															|-Branch two:
% 43.22/13.51  																															| (387)  ~ (all_0_86_86 = e1)
% 43.22/13.51  																															| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.22/13.51  																															|
% 43.22/13.51  																																+-Applying beta-rule and splitting (2122), into two cases.
% 43.22/13.51  																																|-Branch one:
% 43.22/13.51  																																| (750) all_0_90_90 = e1
% 43.22/13.51  																																|
% 43.22/13.51  																																	| Equations (750) can reduce 678 to:
% 43.22/13.51  																																	| (311) $false
% 43.22/13.51  																																	|
% 43.22/13.51  																																	|-The branch is then unsatisfiable
% 43.22/13.51  																																|-Branch two:
% 43.22/13.51  																																| (678)  ~ (all_0_90_90 = e1)
% 43.22/13.51  																																| (785) all_0_95_95 = e1
% 43.22/13.51  																																|
% 43.22/13.51  																																	| Equations (785) can reduce 105 to:
% 43.22/13.51  																																	| (485)  ~ (all_0_97_97 = e1)
% 43.22/13.51  																																	|
% 43.22/13.51  																																	| Simplifying 485 yields:
% 43.22/13.51  																																	| (486)  ~ (all_0_97_97 = e1)
% 43.22/13.51  																																	|
% 43.22/13.51  																																	+-Applying beta-rule and splitting (112), into two cases.
% 43.22/13.51  																																	|-Branch one:
% 43.22/13.51  																																	| (538) all_0_97_97 = e2
% 43.22/13.51  																																	|
% 43.22/13.51  																																		| Equations (538) can reduce 527 to:
% 43.22/13.51  																																		| (311) $false
% 43.22/13.51  																																		|
% 43.22/13.51  																																		|-The branch is then unsatisfiable
% 43.22/13.51  																																	|-Branch two:
% 43.22/13.51  																																	| (527)  ~ (all_0_97_97 = e2)
% 43.22/13.51  																																	| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 43.22/13.51  																																	|
% 43.22/13.51  																																		+-Applying beta-rule and splitting (541), into two cases.
% 43.22/13.51  																																		|-Branch one:
% 43.22/13.51  																																		| (542) all_0_97_97 = e1
% 43.22/13.51  																																		|
% 43.22/13.51  																																			| Equations (542) can reduce 486 to:
% 43.22/13.51  																																			| (311) $false
% 43.22/13.51  																																			|
% 43.22/13.51  																																			|-The branch is then unsatisfiable
% 43.22/13.51  																																		|-Branch two:
% 43.22/13.51  																																		| (486)  ~ (all_0_97_97 = e1)
% 43.22/13.51  																																		| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 43.22/13.51  																																		|
% 43.22/13.51  																																			+-Applying beta-rule and splitting (270), into two cases.
% 43.22/13.51  																																			|-Branch one:
% 43.22/13.51  																																			| (744) all_0_95_95 = e3
% 43.22/13.51  																																			|
% 43.22/13.51  																																				| Combining equations (744,785) yields a new equation:
% 43.22/13.51  																																				| (825) e3 = e1
% 43.22/13.51  																																				|
% 43.22/13.51  																																				| Simplifying 825 yields:
% 43.22/13.51  																																				| (772) e3 = e1
% 43.22/13.51  																																				|
% 43.22/13.51  																																				| Equations (772) can reduce 20 to:
% 43.22/13.51  																																				| (311) $false
% 43.22/13.51  																																				|
% 43.22/13.51  																																				|-The branch is then unsatisfiable
% 43.22/13.51  																																			|-Branch two:
% 43.22/13.51  																																			| (765)  ~ (all_0_95_95 = e3)
% 43.22/13.51  																																			| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.51  																																			|
% 43.22/13.51  																																				+-Applying beta-rule and splitting (545), into two cases.
% 43.22/13.51  																																				|-Branch one:
% 43.22/13.51  																																				| (556) all_0_97_97 = e3
% 43.22/13.51  																																				|
% 43.22/13.51  																																					| Equations (556) can reduce 527 to:
% 43.22/13.51  																																					| (169)  ~ (e3 = e2)
% 43.22/13.51  																																					|
% 43.22/13.51  																																					| Equations (556) can reduce 486 to:
% 43.22/13.51  																																					| (20)  ~ (e3 = e1)
% 43.22/13.51  																																					|
% 43.22/13.51  																																					| Equations (556) can reduce 609 to:
% 43.22/13.51  																																					| (50)  ~ (e3 = e0)
% 43.22/13.51  																																					|
% 43.22/13.51  																																					+-Applying beta-rule and splitting (106), into two cases.
% 43.22/13.51  																																					|-Branch one:
% 43.22/13.51  																																					| (771) all_0_78_78 = e3
% 43.22/13.51  																																					|
% 43.22/13.51  																																						| Combining equations (400,771) yields a new equation:
% 43.22/13.51  																																						| (548) e3 = e2
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Equations (548) can reduce 169 to:
% 43.22/13.51  																																						| (311) $false
% 43.22/13.51  																																						|
% 43.22/13.51  																																						|-The branch is then unsatisfiable
% 43.22/13.51  																																					|-Branch two:
% 43.22/13.51  																																					| (418)  ~ (all_0_78_78 = e3)
% 43.22/13.51  																																					| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.22/13.51  																																					|
% 43.22/13.51  																																						| Equations (400) can reduce 418 to:
% 43.22/13.51  																																						| (356)  ~ (e3 = e2)
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Simplifying 356 yields:
% 43.22/13.51  																																						| (169)  ~ (e3 = e2)
% 43.22/13.51  																																						|
% 43.22/13.51  																																						+-Applying beta-rule and splitting (1712), into two cases.
% 43.22/13.51  																																						|-Branch one:
% 43.22/13.51  																																						| (795) all_0_83_83 = e3
% 43.22/13.51  																																						|
% 43.22/13.51  																																							| Combining equations (453,795) yields a new equation:
% 43.22/13.51  																																							| (548) e3 = e2
% 43.22/13.51  																																							|
% 43.22/13.51  																																							| Equations (548) can reduce 169 to:
% 43.22/13.51  																																							| (311) $false
% 43.22/13.51  																																							|
% 43.22/13.51  																																							|-The branch is then unsatisfiable
% 43.22/13.51  																																						|-Branch two:
% 43.22/13.51  																																						| (779)  ~ (all_0_83_83 = e3)
% 43.22/13.51  																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 43.22/13.51  																																						|
% 43.22/13.51  																																							+-Applying beta-rule and splitting (1842), into two cases.
% 43.22/13.51  																																							|-Branch one:
% 43.22/13.51  																																							| (588) all_0_91_91 = e3
% 43.22/13.51  																																							|
% 43.22/13.51  																																								| Combining equations (588,801) yields a new equation:
% 43.22/13.51  																																								| (825) e3 = e1
% 43.22/13.51  																																								|
% 43.22/13.51  																																								| Simplifying 825 yields:
% 43.22/13.51  																																								| (772) e3 = e1
% 43.22/13.51  																																								|
% 43.22/13.51  																																								| Equations (772) can reduce 20 to:
% 43.22/13.51  																																								| (311) $false
% 43.22/13.51  																																								|
% 43.22/13.51  																																								|-The branch is then unsatisfiable
% 43.22/13.51  																																							|-Branch two:
% 43.22/13.51  																																							| (571)  ~ (all_0_91_91 = e3)
% 43.22/13.51  																																							| (778) all_0_96_96 = e3
% 43.22/13.51  																																							|
% 43.22/13.51  																																								| Combining equations (1837,778) yields a new equation:
% 43.22/13.51  																																								| (600) e3 = e0
% 43.22/13.51  																																								|
% 43.22/13.51  																																								| Equations (600) can reduce 50 to:
% 43.22/13.51  																																								| (311) $false
% 43.22/13.51  																																								|
% 43.22/13.51  																																								|-The branch is then unsatisfiable
% 43.22/13.51  																																				|-Branch two:
% 43.22/13.51  																																				| (428)  ~ (all_0_97_97 = e3)
% 43.22/13.51  																																				| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 43.22/13.51  																																				|
% 43.22/13.51  																																					+-Applying beta-rule and splitting (766), into two cases.
% 43.22/13.51  																																					|-Branch one:
% 43.22/13.51  																																					| (778) all_0_96_96 = e3
% 43.22/13.51  																																					|
% 43.22/13.51  																																						| Combining equations (778,1837) yields a new equation:
% 43.22/13.51  																																						| (599) e3 = e0
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Simplifying 599 yields:
% 43.22/13.51  																																						| (600) e3 = e0
% 43.22/13.51  																																						|
% 43.22/13.51  																																						| Equations (600) can reduce 50 to:
% 43.22/13.51  																																						| (311) $false
% 43.22/13.51  																																						|
% 43.22/13.51  																																						|-The branch is then unsatisfiable
% 43.22/13.51  																																					|-Branch two:
% 43.22/13.51  																																					| (964)  ~ (all_0_96_96 = e3)
% 43.22/13.51  																																					| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.22/13.51  																																					|
% 43.22/13.51  																																						+-Applying beta-rule and splitting (965), into two cases.
% 43.22/13.51  																																						|-Branch one:
% 43.22/13.51  																																						| (556) all_0_97_97 = e3
% 43.22/13.51  																																						|
% 43.22/13.51  																																							| Equations (556) can reduce 428 to:
% 43.22/13.51  																																							| (311) $false
% 43.22/13.51  																																							|
% 43.22/13.51  																																							|-The branch is then unsatisfiable
% 43.22/13.51  																																						|-Branch two:
% 43.22/13.51  																																						| (428)  ~ (all_0_97_97 = e3)
% 43.22/13.51  																																						| (969) all_0_98_98 = e3
% 43.22/13.51  																																						|
% 43.22/13.51  																																							| Combining equations (525,969) yields a new equation:
% 43.22/13.51  																																							| (548) e3 = e2
% 43.22/13.51  																																							|
% 43.22/13.51  																																							| Equations (548) can reduce 169 to:
% 43.22/13.51  																																							| (311) $false
% 43.22/13.51  																																							|
% 43.22/13.51  																																							|-The branch is then unsatisfiable
% 43.22/13.51  																													|-Branch two:
% 43.22/13.51  																													| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.51  																													| (960) all_0_96_96 = e1
% 43.22/13.51  																													|
% 43.22/13.51  																														| Combining equations (1837,960) yields a new equation:
% 43.22/13.51  																														| (865) e1 = e0
% 43.22/13.51  																														|
% 43.22/13.51  																														| Equations (865) can reduce 264 to:
% 43.22/13.51  																														| (311) $false
% 43.22/13.51  																														|
% 43.22/13.51  																														|-The branch is then unsatisfiable
% 43.22/13.51  																											|-Branch two:
% 43.22/13.51  																											| (919)  ~ (all_0_84_84 = e0)
% 43.22/13.51  																											| (954) all_0_85_85 = e0
% 43.22/13.51  																											|
% 43.22/13.51  																												| Equations (954) can reduce 800 to:
% 43.22/13.51  																												| (311) $false
% 43.22/13.51  																												|
% 43.22/13.51  																												|-The branch is then unsatisfiable
% 43.22/13.51  																									|-Branch two:
% 43.22/13.51  																									| (509)  ~ (all_0_93_93 = e0)
% 43.22/13.51  																									| (1121) all_0_98_98 = e0
% 43.22/13.51  																									|
% 43.22/13.51  																										| Combining equations (1121,525) yields a new equation:
% 43.22/13.51  																										| (379) e2 = e0
% 43.22/13.51  																										|
% 43.22/13.51  																										| Equations (379) can reduce 76 to:
% 43.22/13.51  																										| (311) $false
% 43.22/13.51  																										|
% 43.22/13.51  																										|-The branch is then unsatisfiable
% 43.22/13.51  												|-Branch two:
% 43.22/13.51  												| (398)  ~ (all_0_83_83 = e2)
% 43.22/13.51  												| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 43.22/13.51  												|
% 43.22/13.51  													+-Applying beta-rule and splitting (1627), into two cases.
% 43.22/13.51  													|-Branch one:
% 43.22/13.51  													| (453) all_0_83_83 = e2
% 43.22/13.51  													|
% 43.22/13.51  														| Equations (453) can reduce 398 to:
% 43.22/13.51  														| (311) $false
% 43.22/13.51  														|
% 43.22/13.51  														|-The branch is then unsatisfiable
% 43.22/13.51  													|-Branch two:
% 43.22/13.51  													| (398)  ~ (all_0_83_83 = e2)
% 43.22/13.51  													| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 43.22/13.51  													|
% 43.22/13.51  														+-Applying beta-rule and splitting (533), into two cases.
% 43.22/13.51  														|-Branch one:
% 43.22/13.51  														| (453) all_0_83_83 = e2
% 43.22/13.51  														|
% 43.22/13.51  															| Equations (453) can reduce 398 to:
% 43.22/13.51  															| (311) $false
% 43.22/13.51  															|
% 43.22/13.51  															|-The branch is then unsatisfiable
% 43.22/13.51  														|-Branch two:
% 43.22/13.51  														| (398)  ~ (all_0_83_83 = e2)
% 43.22/13.51  														| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 43.22/13.51  														|
% 43.22/13.51  															+-Applying beta-rule and splitting (537), into two cases.
% 43.22/13.51  															|-Branch one:
% 43.22/13.51  															| (552) all_0_84_84 = e2
% 43.22/13.51  															|
% 43.22/13.51  																| Equations (552) can reduce 612 to:
% 43.22/13.51  																| (311) $false
% 43.22/13.51  																|
% 43.22/13.51  																|-The branch is then unsatisfiable
% 43.22/13.51  															|-Branch two:
% 43.22/13.51  															| (612)  ~ (all_0_84_84 = e2)
% 43.22/13.51  															| (512) all_0_85_85 = e2
% 43.22/13.51  															|
% 43.22/13.51  																| Equations (512) can reduce 118 to:
% 43.22/13.51  																| (396)  ~ (all_0_81_81 = e2)
% 43.22/13.51  																|
% 43.22/13.51  																| Equations (512) can reduce 209 to:
% 43.22/13.51  																| (347)  ~ (all_0_82_82 = e2)
% 43.22/13.51  																|
% 43.22/13.51  																| Equations (512) can reduce 154 to:
% 43.22/13.51  																| (612)  ~ (all_0_84_84 = e2)
% 43.22/13.51  																|
% 43.22/13.51  																| Equations (512) can reduce 201 to:
% 43.22/13.51  																| (299)  ~ (all_0_93_93 = e2)
% 43.22/13.51  																|
% 43.22/13.51  																| Simplifying 299 yields:
% 43.22/13.51  																| (300)  ~ (all_0_93_93 = e2)
% 43.22/13.51  																|
% 43.22/13.51  																| Equations (512) can reduce 128 to:
% 43.22/13.51  																| (243)  ~ (e2 = e1)
% 43.22/13.51  																|
% 43.22/13.51  																| From (512) and (8) follows:
% 43.22/13.51  																| (11271) op(e3, e0) = e2
% 43.22/13.51  																|
% 43.22/13.51  																| From (512) and (26) follows:
% 43.22/13.51  																| (1290) op(e0, e2) = all_0_71_71
% 43.22/13.51  																|
% 43.22/13.51  																+-Applying beta-rule and splitting (97), into two cases.
% 43.22/13.51  																|-Branch one:
% 43.22/13.51  																| (1757) all_0_94_94 = e2
% 43.22/13.51  																|
% 43.22/13.51  																	| Combining equations (1757,313) yields a new equation:
% 43.22/13.51  																	| (310) e4 = e2
% 43.22/13.51  																	|
% 43.22/13.51  																	| Equations (310) can reduce 79 to:
% 43.22/13.51  																	| (311) $false
% 43.22/13.51  																	|
% 43.22/13.51  																	|-The branch is then unsatisfiable
% 43.22/13.51  																|-Branch two:
% 43.22/13.51  																| (1761)  ~ (all_0_94_94 = e2)
% 43.22/13.51  																| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.22/13.51  																|
% 43.22/13.51  																	+-Applying beta-rule and splitting (1762), into two cases.
% 43.22/13.51  																	|-Branch one:
% 43.22/13.51  																	| (767) all_0_95_95 = e2
% 43.22/13.51  																	|
% 43.22/13.51  																		| Equations (767) can reduce 355 to:
% 43.22/13.51  																		| (311) $false
% 43.22/13.51  																		|
% 43.22/13.51  																		|-The branch is then unsatisfiable
% 43.22/13.51  																	|-Branch two:
% 43.22/13.51  																	| (355)  ~ (all_0_95_95 = e2)
% 43.22/13.51  																	| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.22/13.51  																	|
% 43.22/13.51  																		+-Applying beta-rule and splitting (1772), into two cases.
% 43.22/13.51  																		|-Branch one:
% 43.22/13.51  																		| (1704) all_0_96_96 = e2
% 43.22/13.51  																		|
% 43.22/13.51  																			| Equations (1704) can reduce 214 to:
% 43.22/13.51  																			| (1622)  ~ (all_0_79_79 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Equations (1704) can reduce 211 to:
% 43.22/13.51  																			| (398)  ~ (all_0_83_83 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Equations (1704) can reduce 64 to:
% 43.22/13.51  																			| (296)  ~ (all_0_91_91 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Equations (1704) can reduce 279 to:
% 43.22/13.51  																			| (355)  ~ (all_0_95_95 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Equations (1704) can reduce 43 to:
% 43.22/13.51  																			| (1348)  ~ (all_0_98_98 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Simplifying 1348 yields:
% 43.22/13.51  																			| (1349)  ~ (all_0_98_98 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Equations (1704) can reduce 115 to:
% 43.22/13.51  																			| (528)  ~ (e4 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| Simplifying 528 yields:
% 43.22/13.51  																			| (79)  ~ (e4 = e2)
% 43.22/13.51  																			|
% 43.22/13.51  																			| From (1704) and (212) follows:
% 43.22/13.51  																			| (8075) op(e2, e2) = all_0_58_58
% 43.22/13.51  																			|
% 43.22/13.51  																			| From (1704) and (268) follows:
% 43.22/13.51  																			| (8076) op(e0, e2) = all_0_59_59
% 43.22/13.51  																			|
% 43.22/13.51  																			| From (1704) and (59) follows:
% 43.22/13.52  																			| (8077) op(e0, e2) = e2
% 43.22/13.52  																			|
% 43.22/13.52  																			| Instantiating formula (262) with e2, e2, all_0_58_58, e4 and discharging atoms op(e2, e2) = all_0_58_58, op(e2, e2) = e4, yields:
% 43.22/13.52  																			| (8082) all_0_58_58 = e4
% 43.22/13.52  																			|
% 43.22/13.52  																			| Instantiating formula (262) with e0, e2, all_0_71_71, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = all_0_71_71, yields:
% 43.22/13.52  																			| (11295) all_0_59_59 = all_0_71_71
% 43.22/13.52  																			|
% 43.22/13.52  																			| Instantiating formula (262) with e0, e2, e2, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = e2, yields:
% 43.22/13.52  																			| (5799) all_0_59_59 = e2
% 43.22/13.52  																			|
% 43.22/13.52  																			| Combining equations (11295,5799) yields a new equation:
% 43.22/13.52  																			| (11297) all_0_71_71 = e2
% 43.22/13.52  																			|
% 43.22/13.52  																			| Simplifying 11297 yields:
% 43.22/13.52  																			| (2601) all_0_71_71 = e2
% 43.22/13.52  																			|
% 43.22/13.52  																			+-Applying beta-rule and splitting (219), into two cases.
% 43.22/13.52  																			|-Branch one:
% 43.22/13.52  																			| (798) all_0_83_83 = e0
% 43.22/13.52  																			|
% 43.22/13.52  																				| Equations (798) can reduce 272 to:
% 43.22/13.52  																				| (9)  ~ (all_0_79_79 = e0)
% 43.22/13.52  																				|
% 43.22/13.52  																				| Equations (798) can reduce 146 to:
% 43.22/13.52  																				| (1830)  ~ (all_0_91_91 = e0)
% 43.22/13.52  																				|
% 43.22/13.52  																				| Simplifying 1830 yields:
% 43.22/13.52  																				| (1487)  ~ (all_0_91_91 = e0)
% 43.22/13.52  																				|
% 43.22/13.52  																				| Equations (798) can reduce 155 to:
% 43.22/13.52  																				| (904)  ~ (e4 = e0)
% 43.22/13.52  																				|
% 43.22/13.52  																				| Simplifying 904 yields:
% 43.22/13.52  																				| (23)  ~ (e4 = e0)
% 43.22/13.52  																				|
% 43.22/13.52  																				| From (798) and (206) follows:
% 43.22/13.52  																				| (8092) op(e2, e0) = all_0_54_54
% 43.22/13.52  																				|
% 43.22/13.52  																				| Instantiating formula (262) with e2, e0, all_0_54_54, e1 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e1, yields:
% 43.22/13.52  																				| (11306) all_0_54_54 = e1
% 43.22/13.52  																				|
% 43.22/13.52  																				+-Applying beta-rule and splitting (127), into two cases.
% 43.22/13.52  																				|-Branch one:
% 43.22/13.52  																				| (457) all_0_79_79 = e1
% 43.22/13.52  																				|
% 43.22/13.52  																					| Equations (457) can reduce 17 to:
% 43.22/13.52  																					| (1669)  ~ (all_0_91_91 = e1)
% 43.22/13.52  																					|
% 43.22/13.52  																					| Simplifying 1669 yields:
% 43.22/13.52  																					| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.52  																					|
% 43.22/13.52  																					| Equations (457) can reduce 9 to:
% 43.22/13.52  																					| (264)  ~ (e1 = e0)
% 43.22/13.52  																					|
% 43.22/13.52  																					| From (457) and (184) follows:
% 43.22/13.52  																					| (1679) op(e2, e1) = all_0_52_52
% 43.22/13.52  																					|
% 43.22/13.52  																					+-Applying beta-rule and splitting (284), into two cases.
% 43.22/13.52  																					|-Branch one:
% 43.22/13.52  																					| (1723) all_0_91_91 = e2
% 43.22/13.52  																					|
% 43.22/13.52  																						| Equations (1723) can reduce 296 to:
% 43.22/13.52  																						| (311) $false
% 43.22/13.52  																						|
% 43.22/13.52  																						|-The branch is then unsatisfiable
% 43.22/13.52  																					|-Branch two:
% 43.22/13.52  																					| (296)  ~ (all_0_91_91 = e2)
% 43.22/13.52  																					| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.22/13.52  																					|
% 43.22/13.52  																						+-Applying beta-rule and splitting (1726), into two cases.
% 43.22/13.52  																						|-Branch one:
% 43.22/13.52  																						| (801) all_0_91_91 = e1
% 43.22/13.52  																						|
% 43.22/13.52  																							| Equations (801) can reduce 959 to:
% 43.22/13.52  																							| (311) $false
% 43.22/13.52  																							|
% 43.22/13.52  																							|-The branch is then unsatisfiable
% 43.22/13.52  																						|-Branch two:
% 43.22/13.52  																						| (959)  ~ (all_0_91_91 = e1)
% 43.22/13.52  																						| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.22/13.52  																						|
% 43.22/13.52  																							+-Applying beta-rule and splitting (1880), into two cases.
% 43.22/13.52  																							|-Branch one:
% 43.22/13.52  																							| (588) all_0_91_91 = e3
% 43.22/13.52  																							|
% 43.22/13.52  																								| Equations (588) can reduce 959 to:
% 43.22/13.52  																								| (20)  ~ (e3 = e1)
% 43.22/13.52  																								|
% 43.22/13.52  																								| From (588) and (222) follows:
% 43.22/13.52  																								| (8109) op(e2, e3) = all_0_56_56
% 43.22/13.52  																								|
% 43.22/13.52  																								| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 43.22/13.52  																								| (10959) all_0_56_56 = e0
% 43.22/13.52  																								|
% 43.22/13.52  																								| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 43.22/13.52  																								| (10960) all_0_52_52 = e2
% 43.22/13.52  																								|
% 43.22/13.52  																								+-Applying beta-rule and splitting (33), into two cases.
% 43.22/13.52  																								|-Branch one:
% 43.22/13.52  																								| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.22/13.52  																								|
% 43.22/13.52  																									+-Applying beta-rule and splitting (1686), into two cases.
% 43.22/13.52  																									|-Branch one:
% 43.22/13.52  																									| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.22/13.52  																									|
% 43.22/13.52  																										+-Applying beta-rule and splitting (1687), into two cases.
% 43.22/13.52  																										|-Branch one:
% 43.22/13.52  																										| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.22/13.52  																										|
% 43.22/13.52  																											| Applying alpha-rule on (1688) yields:
% 43.22/13.52  																											| (1689) all_0_52_52 = e4
% 43.33/13.52  																											| (1690)  ~ (all_0_53_53 = e2)
% 43.33/13.52  																											|
% 43.33/13.52  																											| Combining equations (1689,10960) yields a new equation:
% 43.33/13.52  																											| (309) e4 = e2
% 43.33/13.52  																											|
% 43.33/13.52  																											| Simplifying 309 yields:
% 43.33/13.52  																											| (310) e4 = e2
% 43.33/13.52  																											|
% 43.33/13.52  																											| Equations (310) can reduce 79 to:
% 43.33/13.52  																											| (311) $false
% 43.33/13.52  																											|
% 43.33/13.52  																											|-The branch is then unsatisfiable
% 43.33/13.52  																										|-Branch two:
% 43.33/13.52  																										| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.33/13.52  																										|
% 43.33/13.52  																											| Applying alpha-rule on (1694) yields:
% 43.33/13.52  																											| (1695) all_0_54_54 = e3
% 43.33/13.52  																											| (1696)  ~ (all_0_55_55 = e2)
% 43.33/13.52  																											|
% 43.33/13.52  																											| Combining equations (1695,11306) yields a new equation:
% 43.33/13.52  																											| (825) e3 = e1
% 43.33/13.52  																											|
% 43.33/13.52  																											| Simplifying 825 yields:
% 43.33/13.52  																											| (772) e3 = e1
% 43.33/13.52  																											|
% 43.33/13.52  																											| Equations (772) can reduce 20 to:
% 43.33/13.52  																											| (311) $false
% 43.33/13.52  																											|
% 43.33/13.52  																											|-The branch is then unsatisfiable
% 43.33/13.52  																									|-Branch two:
% 43.33/13.52  																									| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.33/13.52  																									|
% 43.33/13.52  																										| Applying alpha-rule on (1700) yields:
% 43.33/13.52  																										| (1701) all_0_56_56 = e1
% 43.33/13.52  																										| (1702)  ~ (all_0_57_57 = e2)
% 43.33/13.52  																										|
% 43.33/13.52  																										| Combining equations (1701,10959) yields a new equation:
% 43.33/13.52  																										| (1107) e1 = e0
% 43.33/13.52  																										|
% 43.33/13.52  																										| Simplifying 1107 yields:
% 43.33/13.52  																										| (865) e1 = e0
% 43.33/13.52  																										|
% 43.33/13.52  																										| Equations (865) can reduce 264 to:
% 43.33/13.52  																										| (311) $false
% 43.33/13.52  																										|
% 43.33/13.52  																										|-The branch is then unsatisfiable
% 43.33/13.52  																								|-Branch two:
% 43.33/13.52  																								| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.33/13.52  																								|
% 43.33/13.52  																									| Applying alpha-rule on (4957) yields:
% 43.33/13.52  																									| (4958) all_0_58_58 = e0
% 43.33/13.52  																									| (4959)  ~ (all_0_59_59 = e2)
% 43.33/13.52  																									|
% 43.33/13.52  																									| Combining equations (8082,4958) yields a new equation:
% 43.33/13.52  																									| (911) e4 = e0
% 43.33/13.52  																									|
% 43.33/13.52  																									| Simplifying 911 yields:
% 43.33/13.52  																									| (912) e4 = e0
% 43.33/13.52  																									|
% 43.33/13.52  																									| Equations (912) can reduce 23 to:
% 43.33/13.52  																									| (311) $false
% 43.33/13.52  																									|
% 43.33/13.52  																									|-The branch is then unsatisfiable
% 43.33/13.52  																							|-Branch two:
% 43.33/13.52  																							| (571)  ~ (all_0_91_91 = e3)
% 43.33/13.52  																							| (1456) all_0_91_91 = e0
% 43.33/13.52  																							|
% 43.33/13.52  																								| Equations (1456) can reduce 1487 to:
% 43.33/13.52  																								| (311) $false
% 43.33/13.52  																								|
% 43.33/13.52  																								|-The branch is then unsatisfiable
% 43.33/13.52  																				|-Branch two:
% 43.33/13.52  																				| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.52  																				| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.33/13.52  																				|
% 43.33/13.52  																					+-Applying beta-rule and splitting (462), into two cases.
% 43.33/13.52  																					|-Branch one:
% 43.33/13.52  																					| (801) all_0_91_91 = e1
% 43.33/13.52  																					|
% 43.33/13.52  																						| Equations (801) can reduce 17 to:
% 43.33/13.52  																						| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.52  																						|
% 43.33/13.52  																						| Equations (801) can reduce 296 to:
% 43.33/13.52  																						| (487)  ~ (e2 = e1)
% 43.33/13.52  																						|
% 43.33/13.52  																						| Simplifying 487 yields:
% 43.33/13.52  																						| (243)  ~ (e2 = e1)
% 43.33/13.52  																						|
% 43.33/13.52  																						| From (801) and (222) follows:
% 43.33/13.53  																						| (10993) op(e2, e1) = all_0_56_56
% 43.33/13.53  																						|
% 43.33/13.53  																						+-Applying beta-rule and splitting (188), into two cases.
% 43.33/13.53  																						|-Branch one:
% 43.33/13.53  																						| (676) all_0_78_78 = e1
% 43.33/13.53  																						|
% 43.33/13.53  																							| Combining equations (400,676) yields a new equation:
% 43.33/13.53  																							| (408) e2 = e1
% 43.33/13.53  																							|
% 43.33/13.53  																							| Simplifying 408 yields:
% 43.33/13.53  																							| (385) e2 = e1
% 43.33/13.53  																							|
% 43.33/13.53  																							| Equations (385) can reduce 243 to:
% 43.33/13.53  																							| (311) $false
% 43.33/13.53  																							|
% 43.33/13.53  																							|-The branch is then unsatisfiable
% 43.33/13.53  																						|-Branch two:
% 43.33/13.53  																						| (1601)  ~ (all_0_78_78 = e1)
% 43.33/13.53  																						| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.33/13.53  																						|
% 43.33/13.53  																							| Equations (400) can reduce 1601 to:
% 43.33/13.53  																							| (243)  ~ (e2 = e1)
% 43.33/13.53  																							|
% 43.33/13.53  																							+-Applying beta-rule and splitting (129), into two cases.
% 43.33/13.53  																							|-Branch one:
% 43.33/13.53  																							| (676) all_0_78_78 = e1
% 43.33/13.53  																							|
% 43.33/13.53  																								| Combining equations (400,676) yields a new equation:
% 43.33/13.53  																								| (408) e2 = e1
% 43.33/13.53  																								|
% 43.33/13.53  																								| Simplifying 408 yields:
% 43.33/13.53  																								| (385) e2 = e1
% 43.33/13.53  																								|
% 43.33/13.53  																								| Equations (385) can reduce 243 to:
% 43.33/13.53  																								| (311) $false
% 43.33/13.53  																								|
% 43.33/13.53  																								|-The branch is then unsatisfiable
% 43.33/13.53  																							|-Branch two:
% 43.33/13.53  																							| (1601)  ~ (all_0_78_78 = e1)
% 43.33/13.53  																							| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 43.33/13.53  																							|
% 43.33/13.53  																								+-Applying beta-rule and splitting (1602), into two cases.
% 43.33/13.53  																								|-Branch one:
% 43.33/13.53  																								| (457) all_0_79_79 = e1
% 43.33/13.53  																								|
% 43.33/13.53  																									| Equations (457) can reduce 461 to:
% 43.33/13.53  																									| (311) $false
% 43.33/13.53  																									|
% 43.33/13.53  																									|-The branch is then unsatisfiable
% 43.33/13.53  																								|-Branch two:
% 43.33/13.53  																								| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.53  																								| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 43.33/13.53  																								|
% 43.33/13.53  																									+-Applying beta-rule and splitting (8180), into two cases.
% 43.33/13.53  																									|-Branch one:
% 43.33/13.53  																									| (824) all_0_80_80 = e1
% 43.33/13.53  																									|
% 43.33/13.53  																										| Equations (824) can reduce 63 to:
% 43.33/13.53  																										| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.53  																										|
% 43.33/13.53  																										| Equations (824) can reduce 202 to:
% 43.33/13.53  																										| (485)  ~ (all_0_97_97 = e1)
% 43.33/13.53  																										|
% 43.33/13.53  																										| Simplifying 485 yields:
% 43.33/13.53  																										| (486)  ~ (all_0_97_97 = e1)
% 43.33/13.53  																										|
% 43.33/13.53  																										| Equations (824) can reduce 394 to:
% 43.33/13.53  																										| (487)  ~ (e2 = e1)
% 43.33/13.53  																										|
% 43.33/13.53  																										| Simplifying 487 yields:
% 43.33/13.53  																										| (243)  ~ (e2 = e1)
% 43.33/13.53  																										|
% 43.33/13.53  																										+-Applying beta-rule and splitting (56), into two cases.
% 43.33/13.53  																										|-Branch one:
% 43.33/13.53  																										| (463) all_0_78_78 = e4
% 43.33/13.53  																										|
% 43.33/13.53  																											| Combining equations (400,463) yields a new equation:
% 43.33/13.53  																											| (310) e4 = e2
% 43.33/13.53  																											|
% 43.33/13.53  																											| Equations (310) can reduce 79 to:
% 43.33/13.53  																											| (311) $false
% 43.33/13.53  																											|
% 43.33/13.53  																											|-The branch is then unsatisfiable
% 43.33/13.53  																										|-Branch two:
% 43.33/13.53  																										| (640)  ~ (all_0_78_78 = e4)
% 43.33/13.53  																										| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.33/13.53  																										|
% 43.33/13.53  																											+-Applying beta-rule and splitting (285), into two cases.
% 43.33/13.53  																											|-Branch one:
% 43.33/13.53  																											| (1708) all_0_79_79 = e3
% 43.33/13.53  																											|
% 43.33/13.53  																												| Equations (1708) can reduce 461 to:
% 43.33/13.53  																												| (20)  ~ (e3 = e1)
% 43.33/13.53  																												|
% 43.33/13.53  																												| From (1708) and (184) follows:
% 43.33/13.53  																												| (11003) op(e2, e3) = all_0_52_52
% 43.33/13.53  																												|
% 43.33/13.53  																												+-Applying beta-rule and splitting (176), into two cases.
% 43.33/13.53  																												|-Branch one:
% 43.33/13.53  																												| (785) all_0_95_95 = e1
% 43.33/13.53  																												|
% 43.33/13.53  																													| Equations (785) can reduce 315 to:
% 43.33/13.53  																													| (681)  ~ (e4 = e1)
% 43.33/13.53  																													|
% 43.33/13.53  																													| Simplifying 681 yields:
% 43.33/13.53  																													| (256)  ~ (e4 = e1)
% 43.33/13.53  																													|
% 43.33/13.53  																													| Equations (785) can reduce 355 to:
% 43.33/13.53  																													| (487)  ~ (e2 = e1)
% 43.33/13.53  																													|
% 43.33/13.53  																													| Simplifying 487 yields:
% 43.33/13.53  																													| (243)  ~ (e2 = e1)
% 43.33/13.53  																													|
% 43.33/13.53  																													+-Applying beta-rule and splitting (641), into two cases.
% 43.33/13.53  																													|-Branch one:
% 43.33/13.53  																													| (433) all_0_80_80 = e4
% 43.33/13.53  																													|
% 43.33/13.53  																														| Combining equations (824,433) yields a new equation:
% 43.33/13.53  																														| (814) e4 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																														| Equations (814) can reduce 256 to:
% 43.33/13.53  																														| (311) $false
% 43.33/13.53  																														|
% 43.33/13.53  																														|-The branch is then unsatisfiable
% 43.33/13.53  																													|-Branch two:
% 43.33/13.53  																													| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.53  																													| (638) all_0_81_81 = e4
% 43.33/13.53  																													|
% 43.33/13.53  																														| Equations (638) can reduce 257 to:
% 43.33/13.53  																														| (23)  ~ (e4 = e0)
% 43.33/13.53  																														|
% 43.33/13.53  																														| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 43.33/13.53  																														| (11070) all_0_52_52 = e0
% 43.33/13.53  																														|
% 43.33/13.53  																														| Instantiating formula (262) with e2, e1, all_0_56_56, e2 and discharging atoms op(e2, e1) = all_0_56_56, op(e2, e1) = e2, yields:
% 43.33/13.53  																														| (8110) all_0_56_56 = e2
% 43.33/13.53  																														|
% 43.33/13.53  																														+-Applying beta-rule and splitting (33), into two cases.
% 43.33/13.53  																														|-Branch one:
% 43.33/13.53  																														| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.33/13.53  																														|
% 43.33/13.53  																															+-Applying beta-rule and splitting (1686), into two cases.
% 43.33/13.53  																															|-Branch one:
% 43.33/13.53  																															| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.33/13.53  																															|
% 43.33/13.53  																																+-Applying beta-rule and splitting (1687), into two cases.
% 43.33/13.53  																																|-Branch one:
% 43.33/13.53  																																| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.33/13.53  																																|
% 43.33/13.53  																																	| Applying alpha-rule on (1688) yields:
% 43.33/13.53  																																	| (1689) all_0_52_52 = e4
% 43.33/13.53  																																	| (1690)  ~ (all_0_53_53 = e2)
% 43.33/13.53  																																	|
% 43.33/13.53  																																	| Combining equations (1689,11070) yields a new equation:
% 43.33/13.53  																																	| (911) e4 = e0
% 43.33/13.53  																																	|
% 43.33/13.53  																																	| Simplifying 911 yields:
% 43.33/13.53  																																	| (912) e4 = e0
% 43.33/13.53  																																	|
% 43.33/13.53  																																	| Equations (912) can reduce 23 to:
% 43.33/13.53  																																	| (311) $false
% 43.33/13.53  																																	|
% 43.33/13.53  																																	|-The branch is then unsatisfiable
% 43.33/13.53  																																|-Branch two:
% 43.33/13.53  																																| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.33/13.53  																																|
% 43.33/13.53  																																	| Applying alpha-rule on (1694) yields:
% 43.33/13.53  																																	| (1695) all_0_54_54 = e3
% 43.33/13.53  																																	| (1696)  ~ (all_0_55_55 = e2)
% 43.33/13.53  																																	|
% 43.33/13.53  																																	| Combining equations (11306,1695) yields a new equation:
% 43.33/13.53  																																	| (772) e3 = e1
% 43.33/13.53  																																	|
% 43.33/13.53  																																	| Equations (772) can reduce 20 to:
% 43.33/13.53  																																	| (311) $false
% 43.33/13.53  																																	|
% 43.33/13.53  																																	|-The branch is then unsatisfiable
% 43.33/13.53  																															|-Branch two:
% 43.33/13.53  																															| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.33/13.53  																															|
% 43.33/13.53  																																| Applying alpha-rule on (1700) yields:
% 43.33/13.53  																																| (1701) all_0_56_56 = e1
% 43.33/13.53  																																| (1702)  ~ (all_0_57_57 = e2)
% 43.33/13.53  																																|
% 43.33/13.53  																																| Combining equations (8110,1701) yields a new equation:
% 43.33/13.53  																																| (408) e2 = e1
% 43.33/13.53  																																|
% 43.33/13.53  																																| Simplifying 408 yields:
% 43.33/13.53  																																| (385) e2 = e1
% 43.33/13.53  																																|
% 43.33/13.53  																																| Equations (385) can reduce 243 to:
% 43.33/13.53  																																| (311) $false
% 43.33/13.53  																																|
% 43.33/13.53  																																|-The branch is then unsatisfiable
% 43.33/13.53  																														|-Branch two:
% 43.33/13.53  																														| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.33/13.53  																														|
% 43.33/13.53  																															| Applying alpha-rule on (4957) yields:
% 43.33/13.53  																															| (4958) all_0_58_58 = e0
% 43.33/13.53  																															| (4959)  ~ (all_0_59_59 = e2)
% 43.33/13.53  																															|
% 43.33/13.53  																															| Combining equations (8082,4958) yields a new equation:
% 43.33/13.53  																															| (911) e4 = e0
% 43.33/13.53  																															|
% 43.33/13.53  																															| Simplifying 911 yields:
% 43.33/13.53  																															| (912) e4 = e0
% 43.33/13.53  																															|
% 43.33/13.53  																															| Equations (912) can reduce 23 to:
% 43.33/13.53  																															| (311) $false
% 43.33/13.53  																															|
% 43.33/13.53  																															|-The branch is then unsatisfiable
% 43.33/13.53  																												|-Branch two:
% 43.33/13.53  																												| (680)  ~ (all_0_95_95 = e1)
% 43.33/13.53  																												| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.33/13.53  																												|
% 43.33/13.53  																													+-Applying beta-rule and splitting (788), into two cases.
% 43.33/13.53  																													|-Branch one:
% 43.33/13.53  																													| (960) all_0_96_96 = e1
% 43.33/13.53  																													|
% 43.33/13.53  																														| Combining equations (1704,960) yields a new equation:
% 43.33/13.53  																														| (408) e2 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																														| Simplifying 408 yields:
% 43.33/13.53  																														| (385) e2 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																														| Equations (385) can reduce 243 to:
% 43.33/13.53  																														| (311) $false
% 43.33/13.53  																														|
% 43.33/13.53  																														|-The branch is then unsatisfiable
% 43.33/13.53  																													|-Branch two:
% 43.33/13.53  																													| (1479)  ~ (all_0_96_96 = e1)
% 43.33/13.53  																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.33/13.53  																													|
% 43.33/13.53  																														+-Applying beta-rule and splitting (2126), into two cases.
% 43.33/13.53  																														|-Branch one:
% 43.33/13.53  																														| (542) all_0_97_97 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																															| Equations (542) can reduce 486 to:
% 43.33/13.53  																															| (311) $false
% 43.33/13.53  																															|
% 43.33/13.53  																															|-The branch is then unsatisfiable
% 43.33/13.53  																														|-Branch two:
% 43.33/13.53  																														| (486)  ~ (all_0_97_97 = e1)
% 43.33/13.53  																														| (1543) all_0_98_98 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																															| Equations (1543) can reduce 1804 to:
% 43.33/13.53  																															| (311) $false
% 43.33/13.53  																															|
% 43.33/13.53  																															|-The branch is then unsatisfiable
% 43.33/13.53  																											|-Branch two:
% 43.33/13.53  																											| (1711)  ~ (all_0_79_79 = e3)
% 43.33/13.53  																											| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 43.33/13.53  																											|
% 43.33/13.53  																												+-Applying beta-rule and splitting (1712), into two cases.
% 43.33/13.53  																												|-Branch one:
% 43.33/13.53  																												| (795) all_0_83_83 = e3
% 43.33/13.53  																												|
% 43.33/13.53  																													| Combining equations (798,795) yields a new equation:
% 43.33/13.53  																													| (600) e3 = e0
% 43.33/13.53  																													|
% 43.33/13.53  																													| Equations (600) can reduce 50 to:
% 43.33/13.53  																													| (311) $false
% 43.33/13.53  																													|
% 43.33/13.53  																													|-The branch is then unsatisfiable
% 43.33/13.53  																												|-Branch two:
% 43.33/13.53  																												| (779)  ~ (all_0_83_83 = e3)
% 43.33/13.53  																												| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 43.33/13.53  																												|
% 43.33/13.53  																													+-Applying beta-rule and splitting (1842), into two cases.
% 43.33/13.53  																													|-Branch one:
% 43.33/13.53  																													| (588) all_0_91_91 = e3
% 43.33/13.53  																													|
% 43.33/13.53  																														| Combining equations (801,588) yields a new equation:
% 43.33/13.53  																														| (772) e3 = e1
% 43.33/13.53  																														|
% 43.33/13.53  																														| Equations (772) can reduce 20 to:
% 43.33/13.53  																														| (311) $false
% 43.33/13.53  																														|
% 43.33/13.53  																														|-The branch is then unsatisfiable
% 43.33/13.53  																													|-Branch two:
% 43.33/13.53  																													| (571)  ~ (all_0_91_91 = e3)
% 43.33/13.53  																													| (778) all_0_96_96 = e3
% 43.33/13.53  																													|
% 43.33/13.53  																														| Combining equations (1704,778) yields a new equation:
% 43.33/13.53  																														| (548) e3 = e2
% 43.33/13.53  																														|
% 43.33/13.53  																														| Equations (548) can reduce 169 to:
% 43.33/13.53  																														| (311) $false
% 43.33/13.53  																														|
% 43.33/13.53  																														|-The branch is then unsatisfiable
% 43.33/13.53  																									|-Branch two:
% 43.33/13.53  																									| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.53  																									| (477) all_0_81_81 = e1
% 43.33/13.53  																									|
% 43.33/13.53  																										| Equations (477) can reduce 628 to:
% 43.33/13.53  																										| (311) $false
% 43.33/13.53  																										|
% 43.33/13.53  																										|-The branch is then unsatisfiable
% 43.33/13.53  																					|-Branch two:
% 43.33/13.53  																					| (959)  ~ (all_0_91_91 = e1)
% 43.33/13.53  																					| (960) all_0_96_96 = e1
% 43.33/13.53  																					|
% 43.33/13.53  																						| Combining equations (960,1704) yields a new equation:
% 43.33/13.53  																						| (385) e2 = e1
% 43.33/13.53  																						|
% 43.33/13.53  																						| Equations (385) can reduce 243 to:
% 43.33/13.53  																						| (311) $false
% 43.33/13.53  																						|
% 43.33/13.53  																						|-The branch is then unsatisfiable
% 43.33/13.53  																			|-Branch two:
% 43.33/13.53  																			| (1314)  ~ (all_0_83_83 = e0)
% 43.33/13.53  																			| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.33/13.53  																			|
% 43.33/13.53  																				+-Applying beta-rule and splitting (249), into two cases.
% 43.33/13.53  																				|-Branch one:
% 43.33/13.53  																				| (910) all_0_82_82 = e0
% 43.33/13.53  																				|
% 43.33/13.53  																					| Equations (910) can reduce 914 to:
% 43.33/13.53  																					| (311) $false
% 43.33/13.53  																					|
% 43.33/13.53  																					|-The branch is then unsatisfiable
% 43.33/13.53  																				|-Branch two:
% 43.33/13.53  																				| (914)  ~ (all_0_82_82 = e0)
% 43.33/13.53  																				| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.33/13.53  																				|
% 43.33/13.53  																					+-Applying beta-rule and splitting (1309), into two cases.
% 43.33/13.53  																					|-Branch one:
% 43.33/13.53  																					| (798) all_0_83_83 = e0
% 43.33/13.53  																					|
% 43.33/13.53  																						| Equations (798) can reduce 1314 to:
% 43.33/13.53  																						| (311) $false
% 43.33/13.53  																						|
% 43.33/13.53  																						|-The branch is then unsatisfiable
% 43.33/13.53  																					|-Branch two:
% 43.33/13.53  																					| (1314)  ~ (all_0_83_83 = e0)
% 43.33/13.53  																					| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.33/13.53  																					|
% 43.33/13.53  																						+-Applying beta-rule and splitting (1400), into two cases.
% 43.33/13.53  																						|-Branch one:
% 43.33/13.53  																						| (1456) all_0_91_91 = e0
% 43.33/13.53  																						|
% 43.33/13.53  																							| Combining equations (1456,9535) yields a new equation:
% 43.33/13.54  																							| (5547) all_0_64_64 = e0
% 43.33/13.54  																							|
% 43.33/13.54  																							| Equations (1456) can reduce 146 to:
% 43.33/13.54  																							| (1314)  ~ (all_0_83_83 = e0)
% 43.33/13.54  																							|
% 43.33/13.54  																							| Equations (1456) can reduce 44 to:
% 43.33/13.54  																							| (508)  ~ (all_0_93_93 = e0)
% 43.33/13.54  																							|
% 43.33/13.54  																							| Simplifying 508 yields:
% 43.33/13.54  																							| (509)  ~ (all_0_93_93 = e0)
% 43.33/13.54  																							|
% 43.33/13.54  																							| Equations (1456) can reduce 296 to:
% 43.33/13.54  																							| (510)  ~ (e2 = e0)
% 43.33/13.54  																							|
% 43.33/13.54  																							| Simplifying 510 yields:
% 43.33/13.54  																							| (76)  ~ (e2 = e0)
% 43.33/13.54  																							|
% 43.33/13.54  																							| From (1456) and (51) follows:
% 43.33/13.54  																							| (3461) op(e1, e0) = all_0_57_57
% 43.33/13.54  																							|
% 43.33/13.54  																							+-Applying beta-rule and splitting (127), into two cases.
% 43.33/13.54  																							|-Branch one:
% 43.33/13.54  																							| (457) all_0_79_79 = e1
% 43.33/13.54  																							|
% 43.33/13.54  																								| Equations (457) can reduce 63 to:
% 43.33/13.54  																								| (1665)  ~ (all_0_80_80 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Simplifying 1665 yields:
% 43.33/13.54  																								| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Equations (457) can reduce 15 to:
% 43.33/13.54  																								| (1667)  ~ (all_0_81_81 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Simplifying 1667 yields:
% 43.33/13.54  																								| (628)  ~ (all_0_81_81 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Equations (457) can reduce 272 to:
% 43.33/13.54  																								| (11487)  ~ (all_0_83_83 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Simplifying 11487 yields:
% 43.33/13.54  																								| (113)  ~ (all_0_83_83 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Equations (457) can reduce 1622 to:
% 43.33/13.54  																								| (487)  ~ (e2 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								| Simplifying 487 yields:
% 43.33/13.54  																								| (243)  ~ (e2 = e1)
% 43.33/13.54  																								|
% 43.33/13.54  																								+-Applying beta-rule and splitting (289), into two cases.
% 43.33/13.54  																								|-Branch one:
% 43.33/13.54  																								| (954) all_0_85_85 = e0
% 43.33/13.54  																								|
% 43.33/13.54  																									| Combining equations (512,954) yields a new equation:
% 43.33/13.54  																									| (923) e2 = e0
% 43.33/13.54  																									|
% 43.33/13.54  																									| Simplifying 923 yields:
% 43.33/13.54  																									| (379) e2 = e0
% 43.33/13.54  																									|
% 43.33/13.54  																									| Equations (379) can reduce 76 to:
% 43.33/13.54  																									| (311) $false
% 43.33/13.54  																									|
% 43.33/13.54  																									|-The branch is then unsatisfiable
% 43.33/13.54  																								|-Branch two:
% 43.33/13.54  																								| (800)  ~ (all_0_85_85 = e0)
% 43.33/13.54  																								| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.33/13.54  																								|
% 43.33/13.54  																									| Equations (512) can reduce 800 to:
% 43.33/13.54  																									| (76)  ~ (e2 = e0)
% 43.33/13.54  																									|
% 43.33/13.54  																									+-Applying beta-rule and splitting (1315), into two cases.
% 43.33/13.54  																									|-Branch one:
% 43.33/13.54  																									| (916) all_0_84_84 = e0
% 43.33/13.54  																									|
% 43.33/13.54  																										| Equations (916) can reduce 223 to:
% 43.33/13.54  																										| (1314)  ~ (all_0_83_83 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Equations (916) can reduce 87 to:
% 43.33/13.54  																										| (2299)  ~ (all_0_92_92 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Simplifying 2299 yields:
% 43.33/13.54  																										| (946)  ~ (all_0_92_92 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Equations (916) can reduce 195 to:
% 43.33/13.54  																										| (938)  ~ (all_0_97_97 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Simplifying 938 yields:
% 43.33/13.54  																										| (609)  ~ (all_0_97_97 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Equations (916) can reduce 612 to:
% 43.33/13.54  																										| (510)  ~ (e2 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Simplifying 510 yields:
% 43.33/13.54  																										| (76)  ~ (e2 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Equations (916) can reduce 259 to:
% 43.33/13.54  																										| (859)  ~ (e1 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| Simplifying 859 yields:
% 43.33/13.54  																										| (264)  ~ (e1 = e0)
% 43.33/13.54  																										|
% 43.33/13.54  																										| From (916) and (150) follows:
% 43.33/13.54  																										| (11508) op(e3, e0) = all_0_63_63
% 43.33/13.54  																										|
% 43.33/13.54  																										| From (916) and (122) follows:
% 43.33/13.54  																										| (1321) op(e1, e0) = all_0_62_62
% 43.33/13.54  																										|
% 43.33/13.54  																										+-Applying beta-rule and splitting (109), into two cases.
% 43.33/13.54  																										|-Branch one:
% 43.33/13.54  																										| (469) all_0_82_82 = e4
% 43.33/13.54  																										|
% 43.33/13.54  																											| Equations (469) can reduce 116 to:
% 43.33/13.54  																											| (660)  ~ (all_0_83_83 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Simplifying 660 yields:
% 43.33/13.54  																											| (155)  ~ (all_0_83_83 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Equations (469) can reduce 255 to:
% 43.33/13.54  																											| (466)  ~ (all_0_90_90 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Simplifying 466 yields:
% 43.33/13.54  																											| (467)  ~ (all_0_90_90 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Equations (469) can reduce 200 to:
% 43.33/13.54  																											| (314)  ~ (all_0_95_95 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Simplifying 314 yields:
% 43.33/13.54  																											| (315)  ~ (all_0_95_95 = e4)
% 43.33/13.54  																											|
% 43.33/13.54  																											| Equations (469) can reduce 347 to:
% 43.33/13.54  																											| (79)  ~ (e4 = e2)
% 43.33/13.54  																											|
% 43.33/13.54  																											+-Applying beta-rule and splitting (102), into two cases.
% 43.33/13.54  																											|-Branch one:
% 43.33/13.54  																											| (858) all_0_95_95 = e0
% 43.33/13.54  																											|
% 43.33/13.54  																												| Equations (858) can reduce 893 to:
% 43.33/13.54  																												| (311) $false
% 43.33/13.54  																												|
% 43.33/13.54  																												|-The branch is then unsatisfiable
% 43.33/13.54  																											|-Branch two:
% 43.33/13.54  																											| (893)  ~ (all_0_95_95 = e0)
% 43.33/13.54  																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.33/13.54  																											|
% 43.33/13.54  																												+-Applying beta-rule and splitting (1921), into two cases.
% 43.33/13.54  																												|-Branch one:
% 43.33/13.54  																												| (1837) all_0_96_96 = e0
% 43.33/13.54  																												|
% 43.33/13.54  																													| Combining equations (1837,1704) yields a new equation:
% 43.33/13.54  																													| (379) e2 = e0
% 43.33/13.54  																													|
% 43.33/13.54  																													| Equations (379) can reduce 76 to:
% 43.33/13.54  																													| (311) $false
% 43.33/13.54  																													|
% 43.33/13.54  																													|-The branch is then unsatisfiable
% 43.33/13.54  																												|-Branch two:
% 43.33/13.54  																												| (2095)  ~ (all_0_96_96 = e0)
% 43.33/13.54  																												| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.33/13.54  																												|
% 43.33/13.54  																													+-Applying beta-rule and splitting (2096), into two cases.
% 43.33/13.54  																													|-Branch one:
% 43.33/13.54  																													| (560) all_0_97_97 = e0
% 43.33/13.54  																													|
% 43.33/13.54  																														| Equations (560) can reduce 609 to:
% 43.33/13.54  																														| (311) $false
% 43.33/13.54  																														|
% 43.33/13.54  																														|-The branch is then unsatisfiable
% 43.33/13.54  																													|-Branch two:
% 43.33/13.54  																													| (609)  ~ (all_0_97_97 = e0)
% 43.33/13.54  																													| (1121) all_0_98_98 = e0
% 43.33/13.54  																													|
% 43.33/13.54  																														| Equations (1121) can reduce 5 to:
% 43.33/13.54  																														| (257)  ~ (all_0_81_81 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Equations (1121) can reduce 13 to:
% 43.33/13.54  																														| (509)  ~ (all_0_93_93 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Equations (1121) can reduce 107 to:
% 43.33/13.54  																														| (893)  ~ (all_0_95_95 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Equations (1121) can reduce 1349 to:
% 43.33/13.54  																														| (510)  ~ (e2 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Simplifying 510 yields:
% 43.33/13.54  																														| (76)  ~ (e2 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Equations (1121) can reduce 1804 to:
% 43.33/13.54  																														| (859)  ~ (e1 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														| Simplifying 859 yields:
% 43.33/13.54  																														| (264)  ~ (e1 = e0)
% 43.33/13.54  																														|
% 43.33/13.54  																														+-Applying beta-rule and splitting (171), into two cases.
% 43.33/13.54  																														|-Branch one:
% 43.33/13.54  																														| (789) all_0_82_82 = e3
% 43.33/13.54  																														|
% 43.33/13.54  																															| Combining equations (469,789) yields a new equation:
% 43.33/13.54  																															| (790) e4 = e3
% 43.33/13.54  																															|
% 43.33/13.54  																															| Simplifying 790 yields:
% 43.33/13.54  																															| (434) e4 = e3
% 43.33/13.54  																															|
% 43.33/13.54  																															| Equations (434) can reduce 177 to:
% 43.33/13.54  																															| (311) $false
% 43.33/13.54  																															|
% 43.33/13.54  																															|-The branch is then unsatisfiable
% 43.33/13.54  																														|-Branch two:
% 43.33/13.54  																														| (793)  ~ (all_0_82_82 = e3)
% 43.33/13.54  																														| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.33/13.54  																														|
% 43.33/13.54  																															+-Applying beta-rule and splitting (1296), into two cases.
% 43.33/13.54  																															|-Branch one:
% 43.33/13.54  																															| (795) all_0_83_83 = e3
% 43.33/13.54  																															|
% 43.33/13.54  																																| Equations (795) can reduce 155 to:
% 43.33/13.54  																																| (783)  ~ (e4 = e3)
% 43.33/13.54  																																|
% 43.33/13.54  																																| Simplifying 783 yields:
% 43.33/13.54  																																| (177)  ~ (e4 = e3)
% 43.33/13.54  																																|
% 43.33/13.54  																																| Equations (795) can reduce 398 to:
% 43.33/13.54  																																| (169)  ~ (e3 = e2)
% 43.33/13.54  																																|
% 43.33/13.54  																																| Equations (795) can reduce 113 to:
% 43.33/13.54  																																| (20)  ~ (e3 = e1)
% 43.33/13.54  																																|
% 43.33/13.54  																																| Equations (795) can reduce 1314 to:
% 43.33/13.54  																																| (50)  ~ (e3 = e0)
% 43.33/13.54  																																|
% 43.33/13.54  																																| Instantiating formula (262) with e3, e0, all_0_63_63, e2 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e2, yields:
% 43.33/13.54  																																| (11550) all_0_63_63 = e2
% 43.33/13.54  																																|
% 43.33/13.54  																																| Instantiating formula (262) with e1, e0, all_0_57_57, all_0_93_93 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_93_93, yields:
% 43.33/13.54  																																| (8284) all_0_57_57 = all_0_93_93
% 43.33/13.54  																																|
% 43.33/13.54  																																| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_62_62, yields:
% 43.33/13.54  																																| (11552) all_0_57_57 = all_0_62_62
% 43.33/13.54  																																|
% 43.33/13.54  																																| Combining equations (8284,11552) yields a new equation:
% 43.33/13.54  																																| (1367) all_0_62_62 = all_0_93_93
% 43.33/13.54  																																|
% 43.33/13.54  																																+-Applying beta-rule and splitting (56), into two cases.
% 43.33/13.54  																																|-Branch one:
% 43.33/13.54  																																| (463) all_0_78_78 = e4
% 43.33/13.54  																																|
% 43.33/13.54  																																	| Combining equations (463,400) yields a new equation:
% 43.33/13.54  																																	| (309) e4 = e2
% 43.33/13.54  																																	|
% 43.33/13.54  																																	| Simplifying 309 yields:
% 43.33/13.54  																																	| (310) e4 = e2
% 43.33/13.54  																																	|
% 43.33/13.54  																																	| Equations (310) can reduce 79 to:
% 43.33/13.54  																																	| (311) $false
% 43.33/13.54  																																	|
% 43.33/13.54  																																	|-The branch is then unsatisfiable
% 43.33/13.54  																																|-Branch two:
% 43.33/13.54  																																| (640)  ~ (all_0_78_78 = e4)
% 43.33/13.54  																																| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.33/13.54  																																|
% 43.33/13.54  																																	| Equations (400) can reduce 640 to:
% 43.33/13.54  																																	| (528)  ~ (e4 = e2)
% 43.33/13.54  																																	|
% 43.33/13.54  																																	| Simplifying 528 yields:
% 43.33/13.54  																																	| (79)  ~ (e4 = e2)
% 43.33/13.54  																																	|
% 43.33/13.54  																																	+-Applying beta-rule and splitting (123), into two cases.
% 43.33/13.54  																																	|-Branch one:
% 43.33/13.54  																																	| (473) all_0_81_81 = e2
% 43.33/13.54  																																	|
% 43.33/13.54  																																		| Equations (473) can reduce 396 to:
% 43.33/13.54  																																		| (311) $false
% 43.33/13.54  																																		|
% 43.33/13.54  																																		|-The branch is then unsatisfiable
% 43.33/13.54  																																	|-Branch two:
% 43.33/13.54  																																	| (396)  ~ (all_0_81_81 = e2)
% 43.33/13.54  																																	| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.33/13.54  																																	|
% 43.33/13.54  																																		+-Applying beta-rule and splitting (176), into two cases.
% 43.33/13.54  																																		|-Branch one:
% 43.33/13.54  																																		| (785) all_0_95_95 = e1
% 43.33/13.54  																																		|
% 43.33/13.54  																																			| Equations (785) can reduce 229 to:
% 43.33/13.54  																																			| (678)  ~ (all_0_90_90 = e1)
% 43.33/13.54  																																			|
% 43.33/13.54  																																			| Equations (785) can reduce 893 to:
% 43.33/13.54  																																			| (264)  ~ (e1 = e0)
% 43.33/13.54  																																			|
% 43.33/13.54  																																			+-Applying beta-rule and splitting (132), into two cases.
% 43.33/13.54  																																			|-Branch one:
% 43.33/13.54  																																			| (750) all_0_90_90 = e1
% 43.33/13.54  																																			|
% 43.33/13.54  																																				| Equations (750) can reduce 678 to:
% 43.33/13.54  																																				| (311) $false
% 43.33/13.54  																																				|
% 43.33/13.54  																																				|-The branch is then unsatisfiable
% 43.33/13.54  																																			|-Branch two:
% 43.33/13.54  																																			| (678)  ~ (all_0_90_90 = e1)
% 43.33/13.54  																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.33/13.54  																																			|
% 43.33/13.54  																																				+-Applying beta-rule and splitting (1526), into two cases.
% 43.33/13.54  																																				|-Branch one:
% 43.33/13.54  																																				| (801) all_0_91_91 = e1
% 43.33/13.54  																																				|
% 43.33/13.54  																																					| Combining equations (1456,801) yields a new equation:
% 43.33/13.54  																																					| (865) e1 = e0
% 43.33/13.54  																																					|
% 43.33/13.54  																																					| Equations (865) can reduce 264 to:
% 43.33/13.54  																																					| (311) $false
% 43.33/13.54  																																					|
% 43.33/13.54  																																					|-The branch is then unsatisfiable
% 43.33/13.54  																																				|-Branch two:
% 43.33/13.54  																																				| (959)  ~ (all_0_91_91 = e1)
% 43.33/13.54  																																				| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.33/13.54  																																				|
% 43.33/13.54  																																					+-Applying beta-rule and splitting (1556), into two cases.
% 43.33/13.54  																																					|-Branch one:
% 43.33/13.54  																																					| (836) all_0_92_92 = e1
% 43.33/13.54  																																					|
% 43.33/13.54  																																						| Equations (836) can reduce 49 to:
% 43.33/13.54  																																						| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.54  																																						|
% 43.33/13.54  																																						| Equations (836) can reduce 258 to:
% 43.33/13.54  																																						| (485)  ~ (all_0_97_97 = e1)
% 43.33/13.54  																																						|
% 43.33/13.54  																																						| Simplifying 485 yields:
% 43.33/13.54  																																						| (486)  ~ (all_0_97_97 = e1)
% 43.33/13.54  																																						|
% 43.33/13.54  																																						+-Applying beta-rule and splitting (270), into two cases.
% 43.33/13.54  																																						|-Branch one:
% 43.33/13.54  																																						| (744) all_0_95_95 = e3
% 43.33/13.54  																																						|
% 43.33/13.54  																																							| Combining equations (785,744) yields a new equation:
% 43.33/13.54  																																							| (772) e3 = e1
% 43.33/13.54  																																							|
% 43.33/13.54  																																							| Equations (772) can reduce 20 to:
% 43.33/13.54  																																							| (311) $false
% 43.33/13.54  																																							|
% 43.33/13.54  																																							|-The branch is then unsatisfiable
% 43.33/13.54  																																						|-Branch two:
% 43.33/13.54  																																						| (765)  ~ (all_0_95_95 = e3)
% 43.33/13.54  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.33/13.54  																																						|
% 43.33/13.54  																																							+-Applying beta-rule and splitting (220), into two cases.
% 43.33/13.54  																																							|-Branch one:
% 43.33/13.54  																																							| (771) all_0_78_78 = e3
% 43.33/13.54  																																							|
% 43.33/13.54  																																								| Combining equations (771,400) yields a new equation:
% 43.33/13.54  																																								| (547) e3 = e2
% 43.33/13.54  																																								|
% 43.33/13.54  																																								| Simplifying 547 yields:
% 43.33/13.54  																																								| (548) e3 = e2
% 43.33/13.54  																																								|
% 43.33/13.54  																																								| Equations (548) can reduce 169 to:
% 43.33/13.54  																																								| (311) $false
% 43.33/13.54  																																								|
% 43.33/13.54  																																								|-The branch is then unsatisfiable
% 43.33/13.54  																																							|-Branch two:
% 43.33/13.54  																																							| (418)  ~ (all_0_78_78 = e3)
% 43.33/13.54  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.33/13.54  																																							|
% 43.33/13.54  																																								| Equations (400) can reduce 418 to:
% 43.33/13.54  																																								| (356)  ~ (e3 = e2)
% 43.33/13.54  																																								|
% 43.33/13.54  																																								| Simplifying 356 yields:
% 43.33/13.54  																																								| (169)  ~ (e3 = e2)
% 43.33/13.54  																																								|
% 43.33/13.54  																																								+-Applying beta-rule and splitting (766), into two cases.
% 43.33/13.54  																																								|-Branch one:
% 43.33/13.54  																																								| (778) all_0_96_96 = e3
% 43.33/13.54  																																								|
% 43.33/13.54  																																									| Combining equations (778,1704) yields a new equation:
% 43.33/13.54  																																									| (547) e3 = e2
% 43.33/13.54  																																									|
% 43.33/13.54  																																									| Simplifying 547 yields:
% 43.33/13.54  																																									| (548) e3 = e2
% 43.33/13.54  																																									|
% 43.33/13.54  																																									| Equations (548) can reduce 169 to:
% 43.33/13.54  																																									| (311) $false
% 43.33/13.54  																																									|
% 43.33/13.54  																																									|-The branch is then unsatisfiable
% 43.33/13.54  																																								|-Branch two:
% 43.33/13.54  																																								| (964)  ~ (all_0_96_96 = e3)
% 43.33/13.54  																																								| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.33/13.54  																																								|
% 43.33/13.54  																																									+-Applying beta-rule and splitting (965), into two cases.
% 43.33/13.54  																																									|-Branch one:
% 43.33/13.54  																																									| (556) all_0_97_97 = e3
% 43.33/13.54  																																									|
% 43.33/13.54  																																										| Equations (556) can reduce 202 to:
% 43.33/13.54  																																										| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.54  																																										|
% 43.33/13.54  																																										| Equations (556) can reduce 319 to:
% 43.33/13.54  																																										| (783)  ~ (e4 = e3)
% 43.33/13.54  																																										|
% 43.33/13.54  																																										| Simplifying 783 yields:
% 43.33/13.54  																																										| (177)  ~ (e4 = e3)
% 43.33/13.54  																																										|
% 43.33/13.54  																																										| Equations (556) can reduce 486 to:
% 43.33/13.54  																																										| (20)  ~ (e3 = e1)
% 43.33/13.54  																																										|
% 43.33/13.54  																																										| From (556) and (252) follows:
% 43.33/13.54  																																										| (10793) op(e1, e3) = all_0_67_67
% 43.33/13.54  																																										|
% 43.33/13.54  																																										+-Applying beta-rule and splitting (45), into two cases.
% 43.33/13.54  																																										|-Branch one:
% 43.33/13.54  																																										| (546) all_0_80_80 = e2
% 43.33/13.54  																																										|
% 43.33/13.54  																																											| Equations (546) can reduce 394 to:
% 43.33/13.54  																																											| (311) $false
% 43.33/13.54  																																											|
% 43.33/13.54  																																											|-The branch is then unsatisfiable
% 43.33/13.54  																																										|-Branch two:
% 43.33/13.54  																																										| (394)  ~ (all_0_80_80 = e2)
% 43.33/13.54  																																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.33/13.54  																																										|
% 43.33/13.54  																																											+-Applying beta-rule and splitting (775), into two cases.
% 43.33/13.54  																																											|-Branch one:
% 43.33/13.54  																																											| (789) all_0_82_82 = e3
% 43.33/13.54  																																											|
% 43.33/13.54  																																												| Combining equations (469,789) yields a new equation:
% 43.33/13.54  																																												| (790) e4 = e3
% 43.33/13.54  																																												|
% 43.33/13.54  																																												| Simplifying 790 yields:
% 43.33/13.54  																																												| (434) e4 = e3
% 43.33/13.54  																																												|
% 43.33/13.54  																																												| Equations (434) can reduce 177 to:
% 43.33/13.54  																																												| (311) $false
% 43.33/13.54  																																												|
% 43.33/13.54  																																												|-The branch is then unsatisfiable
% 43.33/13.54  																																											|-Branch two:
% 43.33/13.54  																																											| (793)  ~ (all_0_82_82 = e3)
% 43.33/13.55  																																											| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.33/13.55  																																											|
% 43.33/13.55  																																												+-Applying beta-rule and splitting (210), into two cases.
% 43.33/13.55  																																												|-Branch one:
% 43.33/13.55  																																												| (433) all_0_80_80 = e4
% 43.33/13.55  																																												|
% 43.33/13.55  																																													| Equations (433) can reduce 394 to:
% 43.33/13.55  																																													| (79)  ~ (e4 = e2)
% 43.33/13.55  																																													|
% 43.33/13.55  																																													| Equations (433) can reduce 828 to:
% 43.33/13.55  																																													| (256)  ~ (e4 = e1)
% 43.33/13.55  																																													|
% 43.33/13.55  																																													| From (433) and (233) follows:
% 43.33/13.55  																																													| (4027) op(e1, e4) = all_0_60_60
% 43.33/13.55  																																													|
% 43.33/13.55  																																													+-Applying beta-rule and splitting (46), into two cases.
% 43.33/13.55  																																													|-Branch one:
% 43.33/13.55  																																													| (308) all_0_89_89 = e4
% 43.33/13.55  																																													|
% 43.33/13.55  																																														| Combining equations (292,308) yields a new equation:
% 43.33/13.55  																																														| (310) e4 = e2
% 43.33/13.55  																																														|
% 43.33/13.55  																																														| Equations (310) can reduce 79 to:
% 43.33/13.55  																																														| (311) $false
% 43.33/13.55  																																														|
% 43.33/13.55  																																														|-The branch is then unsatisfiable
% 43.33/13.55  																																													|-Branch two:
% 43.33/13.55  																																													| (312)  ~ (all_0_89_89 = e4)
% 43.33/13.55  																																													| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.55  																																													|
% 43.33/13.55  																																														+-Applying beta-rule and splitting (1915), into two cases.
% 43.33/13.55  																																														|-Branch one:
% 43.33/13.55  																																														| (583) all_0_90_90 = e4
% 43.33/13.55  																																														|
% 43.33/13.55  																																															| Equations (583) can reduce 467 to:
% 43.33/13.55  																																															| (311) $false
% 43.33/13.55  																																															|
% 43.33/13.55  																																															|-The branch is then unsatisfiable
% 43.33/13.55  																																														|-Branch two:
% 43.33/13.55  																																														| (467)  ~ (all_0_90_90 = e4)
% 43.33/13.55  																																														| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.55  																																														|
% 43.33/13.55  																																															+-Applying beta-rule and splitting (476), into two cases.
% 43.33/13.55  																																															|-Branch one:
% 43.33/13.55  																																															| (477) all_0_81_81 = e1
% 43.33/13.55  																																															|
% 43.33/13.55  																																																| Equations (477) can reduce 628 to:
% 43.33/13.55  																																																| (311) $false
% 43.33/13.55  																																																|
% 43.33/13.55  																																																|-The branch is then unsatisfiable
% 43.33/13.55  																																															|-Branch two:
% 43.33/13.55  																																															| (628)  ~ (all_0_81_81 = e1)
% 43.33/13.55  																																															| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.33/13.55  																																															|
% 43.33/13.55  																																																+-Applying beta-rule and splitting (1928), into two cases.
% 43.33/13.55  																																																|-Branch one:
% 43.33/13.55  																																																| (442) all_0_92_92 = e4
% 43.33/13.55  																																																|
% 43.33/13.55  																																																	| Combining equations (836,442) yields a new equation:
% 43.33/13.55  																																																	| (814) e4 = e1
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	| Equations (814) can reduce 256 to:
% 43.33/13.55  																																																	| (311) $false
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	|-The branch is then unsatisfiable
% 43.33/13.55  																																																|-Branch two:
% 43.33/13.55  																																																| (1619)  ~ (all_0_92_92 = e4)
% 43.33/13.55  																																																| (607) all_0_93_93 = e4
% 43.33/13.55  																																																|
% 43.33/13.55  																																																	| Combining equations (607,1367) yields a new equation:
% 43.33/13.55  																																																	| (4461) all_0_62_62 = e4
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	| Equations (607) can reduce 277 to:
% 43.33/13.55  																																																	| (634)  ~ (all_0_81_81 = e4)
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	| Equations (607) can reduce 300 to:
% 43.33/13.55  																																																	| (79)  ~ (e4 = e2)
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	| From (607) and (21) follows:
% 43.33/13.55  																																																	| (11642) op(e1, e4) = all_0_76_76
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																	+-Applying beta-rule and splitting (282), into two cases.
% 43.33/13.55  																																																	|-Branch one:
% 43.33/13.55  																																																	| (754) all_0_90_90 = e3
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																		| From (754) and (218) follows:
% 43.33/13.55  																																																		| (4744) op(e1, e3) = e3
% 43.33/13.55  																																																		|
% 43.33/13.55  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 43.33/13.55  																																																		|-Branch one:
% 43.33/13.55  																																																		| (635) all_0_81_81 = e3
% 43.33/13.55  																																																		|
% 43.33/13.55  																																																			| Equations (635) can reduce 634 to:
% 43.33/13.55  																																																			| (783)  ~ (e4 = e3)
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Simplifying 783 yields:
% 43.33/13.55  																																																			| (177)  ~ (e4 = e3)
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Equations (635) can reduce 257 to:
% 43.33/13.55  																																																			| (50)  ~ (e3 = e0)
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 43.33/13.55  																																																			| (4076) all_0_60_60 = e2
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Instantiating formula (262) with e1, e4, all_0_76_76, all_0_60_60 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = all_0_76_76, yields:
% 43.33/13.55  																																																			| (8504) all_0_60_60 = all_0_76_76
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Instantiating formula (262) with e1, e3, e3, all_0_67_67 and discharging atoms op(e1, e3) = all_0_67_67, op(e1, e3) = e3, yields:
% 43.33/13.55  																																																			| (576) all_0_67_67 = e3
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Combining equations (4076,8504) yields a new equation:
% 43.33/13.55  																																																			| (11652) all_0_76_76 = e2
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Combining equations (11652,8504) yields a new equation:
% 43.33/13.55  																																																			| (4076) all_0_60_60 = e2
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			+-Applying beta-rule and splitting (276), into two cases.
% 43.33/13.55  																																																			|-Branch one:
% 43.33/13.55  																																																			| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																				+-Applying beta-rule and splitting (577), into two cases.
% 43.33/13.55  																																																				|-Branch one:
% 43.33/13.55  																																																				| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																					+-Applying beta-rule and splitting (578), into two cases.
% 43.33/13.55  																																																					|-Branch one:
% 43.33/13.55  																																																					| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.33/13.55  																																																					|
% 43.33/13.55  																																																						| Applying alpha-rule on (579) yields:
% 43.33/13.55  																																																						| (580) all_0_60_60 = e4
% 43.33/13.55  																																																						| (581)  ~ (all_0_61_61 = e1)
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Combining equations (580,4076) yields a new equation:
% 43.33/13.55  																																																						| (309) e4 = e2
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Simplifying 309 yields:
% 43.33/13.55  																																																						| (310) e4 = e2
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Equations (310) can reduce 79 to:
% 43.33/13.55  																																																						| (311) $false
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						|-The branch is then unsatisfiable
% 43.33/13.55  																																																					|-Branch two:
% 43.33/13.55  																																																					| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.33/13.55  																																																					|
% 43.33/13.55  																																																						| Applying alpha-rule on (585) yields:
% 43.33/13.55  																																																						| (586) all_0_62_62 = e3
% 43.33/13.55  																																																						| (587)  ~ (all_0_63_63 = e1)
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Combining equations (4461,586) yields a new equation:
% 43.33/13.55  																																																						| (790) e4 = e3
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Simplifying 790 yields:
% 43.33/13.55  																																																						| (434) e4 = e3
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						| Equations (434) can reduce 177 to:
% 43.33/13.55  																																																						| (311) $false
% 43.33/13.55  																																																						|
% 43.33/13.55  																																																						|-The branch is then unsatisfiable
% 43.33/13.55  																																																				|-Branch two:
% 43.33/13.55  																																																				| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																					| Applying alpha-rule on (590) yields:
% 43.33/13.55  																																																					| (591) all_0_64_64 = e2
% 43.33/13.55  																																																					| (592)  ~ (all_0_65_65 = e1)
% 43.33/13.55  																																																					|
% 43.33/13.55  																																																					| Combining equations (5547,591) yields a new equation:
% 43.33/13.55  																																																					| (379) e2 = e0
% 43.33/13.55  																																																					|
% 43.33/13.55  																																																					| Equations (379) can reduce 76 to:
% 43.33/13.55  																																																					| (311) $false
% 43.33/13.55  																																																					|
% 43.33/13.55  																																																					|-The branch is then unsatisfiable
% 43.33/13.55  																																																			|-Branch two:
% 43.33/13.55  																																																			| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																				| Applying alpha-rule on (596) yields:
% 43.33/13.55  																																																				| (597) all_0_67_67 = e0
% 43.33/13.55  																																																				| (598)  ~ (all_0_68_68 = e1)
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				| Combining equations (576,597) yields a new equation:
% 43.33/13.55  																																																				| (599) e3 = e0
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				| Simplifying 599 yields:
% 43.33/13.55  																																																				| (600) e3 = e0
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				| Equations (600) can reduce 50 to:
% 43.33/13.55  																																																				| (311) $false
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				|-The branch is then unsatisfiable
% 43.33/13.55  																																																		|-Branch two:
% 43.33/13.55  																																																		| (420)  ~ (all_0_81_81 = e3)
% 43.33/13.55  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.33/13.55  																																																		|
% 43.33/13.55  																																																			+-Applying beta-rule and splitting (629), into two cases.
% 43.33/13.55  																																																			|-Branch one:
% 43.33/13.55  																																																			| (635) all_0_81_81 = e3
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																				| Equations (635) can reduce 420 to:
% 43.33/13.55  																																																				| (311) $false
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				|-The branch is then unsatisfiable
% 43.33/13.55  																																																			|-Branch two:
% 43.33/13.55  																																																			| (420)  ~ (all_0_81_81 = e3)
% 43.33/13.55  																																																			| (638) all_0_81_81 = e4
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																				| Equations (638) can reduce 634 to:
% 43.33/13.55  																																																				| (311) $false
% 43.33/13.55  																																																				|
% 43.33/13.55  																																																				|-The branch is then unsatisfiable
% 43.33/13.55  																																																	|-Branch two:
% 43.33/13.55  																																																	| (745)  ~ (all_0_90_90 = e3)
% 43.33/13.55  																																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.33/13.55  																																																	|
% 43.33/13.55  																																																		+-Applying beta-rule and splitting (794), into two cases.
% 43.33/13.55  																																																		|-Branch one:
% 43.33/13.55  																																																		| (754) all_0_90_90 = e3
% 43.33/13.55  																																																		|
% 43.33/13.55  																																																			| Equations (754) can reduce 745 to:
% 43.33/13.55  																																																			| (311) $false
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			|-The branch is then unsatisfiable
% 43.33/13.55  																																																		|-Branch two:
% 43.33/13.55  																																																		| (745)  ~ (all_0_90_90 = e3)
% 43.33/13.55  																																																		| (744) all_0_95_95 = e3
% 43.33/13.55  																																																		|
% 43.33/13.55  																																																			| Combining equations (785,744) yields a new equation:
% 43.33/13.55  																																																			| (772) e3 = e1
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			| Equations (772) can reduce 20 to:
% 43.33/13.55  																																																			| (311) $false
% 43.33/13.55  																																																			|
% 43.33/13.55  																																																			|-The branch is then unsatisfiable
% 43.33/13.55  																																												|-Branch two:
% 43.33/13.55  																																												| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.55  																																												| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.33/13.55  																																												|
% 43.33/13.55  																																													+-Applying beta-rule and splitting (3232), into two cases.
% 43.33/13.55  																																													|-Branch one:
% 43.33/13.55  																																													| (824) all_0_80_80 = e1
% 43.33/13.55  																																													|
% 43.33/13.55  																																														| Equations (824) can reduce 828 to:
% 43.33/13.55  																																														| (311) $false
% 43.33/13.55  																																														|
% 43.33/13.55  																																														|-The branch is then unsatisfiable
% 43.33/13.55  																																													|-Branch two:
% 43.33/13.55  																																													| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.55  																																													| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.33/13.55  																																													|
% 43.33/13.55  																																														+-Applying beta-rule and splitting (4018), into two cases.
% 43.33/13.55  																																														|-Branch one:
% 43.33/13.55  																																														| (416) all_0_80_80 = e3
% 43.33/13.55  																																														|
% 43.33/13.55  																																															| Equations (416) can reduce 2347 to:
% 43.33/13.55  																																															| (311) $false
% 43.33/13.55  																																															|
% 43.33/13.55  																																															|-The branch is then unsatisfiable
% 43.33/13.55  																																														|-Branch two:
% 43.33/13.55  																																														| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.55  																																														| (433) all_0_80_80 = e4
% 43.33/13.55  																																														|
% 43.33/13.55  																																															| Equations (433) can reduce 436 to:
% 43.33/13.55  																																															| (311) $false
% 43.33/13.55  																																															|
% 43.33/13.55  																																															|-The branch is then unsatisfiable
% 43.33/13.55  																																									|-Branch two:
% 43.33/13.55  																																									| (428)  ~ (all_0_97_97 = e3)
% 43.33/13.55  																																									| (969) all_0_98_98 = e3
% 43.33/13.55  																																									|
% 43.33/13.55  																																										| Combining equations (1121,969) yields a new equation:
% 43.33/13.55  																																										| (600) e3 = e0
% 43.33/13.55  																																										|
% 43.33/13.55  																																										| Equations (600) can reduce 50 to:
% 43.33/13.55  																																										| (311) $false
% 43.33/13.55  																																										|
% 43.33/13.55  																																										|-The branch is then unsatisfiable
% 43.33/13.55  																																					|-Branch two:
% 43.33/13.55  																																					| (840)  ~ (all_0_92_92 = e1)
% 43.33/13.55  																																					| (566) all_0_93_93 = e1
% 43.33/13.55  																																					|
% 43.33/13.55  																																						| Equations (566) can reduce 481 to:
% 43.33/13.55  																																						| (311) $false
% 43.33/13.55  																																						|
% 43.33/13.55  																																						|-The branch is then unsatisfiable
% 43.33/13.55  																																		|-Branch two:
% 43.33/13.55  																																		| (680)  ~ (all_0_95_95 = e1)
% 43.33/13.55  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.33/13.55  																																		|
% 43.33/13.55  																																			+-Applying beta-rule and splitting (99), into two cases.
% 43.33/13.55  																																			|-Branch one:
% 43.33/13.55  																																			| (767) all_0_95_95 = e2
% 43.33/13.55  																																			|
% 43.33/13.55  																																				| Equations (767) can reduce 355 to:
% 43.33/13.55  																																				| (311) $false
% 43.33/13.55  																																				|
% 43.33/13.55  																																				|-The branch is then unsatisfiable
% 43.33/13.55  																																			|-Branch two:
% 43.33/13.55  																																			| (355)  ~ (all_0_95_95 = e2)
% 43.33/13.55  																																			| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.33/13.55  																																			|
% 43.33/13.55  																																				+-Applying beta-rule and splitting (188), into two cases.
% 43.33/13.55  																																				|-Branch one:
% 43.33/13.55  																																				| (676) all_0_78_78 = e1
% 43.33/13.55  																																				|
% 43.33/13.55  																																					| Combining equations (676,400) yields a new equation:
% 43.33/13.55  																																					| (385) e2 = e1
% 43.33/13.55  																																					|
% 43.33/13.55  																																					| Equations (385) can reduce 243 to:
% 43.33/13.55  																																					| (311) $false
% 43.33/13.55  																																					|
% 43.33/13.55  																																					|-The branch is then unsatisfiable
% 43.33/13.55  																																				|-Branch two:
% 43.33/13.55  																																				| (1601)  ~ (all_0_78_78 = e1)
% 43.33/13.55  																																				| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.33/13.55  																																				|
% 43.33/13.55  																																					+-Applying beta-rule and splitting (1718), into two cases.
% 43.33/13.55  																																					|-Branch one:
% 43.33/13.55  																																					| (384) all_0_86_86 = e1
% 43.33/13.55  																																					|
% 43.33/13.55  																																						| Combining equations (378,384) yields a new equation:
% 43.33/13.55  																																						| (865) e1 = e0
% 43.33/13.55  																																						|
% 43.33/13.55  																																						| Equations (865) can reduce 264 to:
% 43.33/13.55  																																						| (311) $false
% 43.33/13.55  																																						|
% 43.33/13.55  																																						|-The branch is then unsatisfiable
% 43.33/13.55  																																					|-Branch two:
% 43.33/13.55  																																					| (387)  ~ (all_0_86_86 = e1)
% 43.33/13.55  																																					| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.33/13.55  																																					|
% 43.33/13.55  																																						+-Applying beta-rule and splitting (2122), into two cases.
% 43.33/13.55  																																						|-Branch one:
% 43.33/13.55  																																						| (750) all_0_90_90 = e1
% 43.33/13.55  																																						|
% 43.33/13.55  																																							| Equations (750) can reduce 72 to:
% 43.33/13.55  																																							| (2131)  ~ (all_0_92_92 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Simplifying 2131 yields:
% 43.33/13.55  																																							| (840)  ~ (all_0_92_92 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Equations (750) can reduce 34 to:
% 43.33/13.55  																																							| (480)  ~ (all_0_93_93 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Simplifying 480 yields:
% 43.33/13.55  																																							| (481)  ~ (all_0_93_93 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Equations (750) can reduce 229 to:
% 43.33/13.55  																																							| (679)  ~ (all_0_95_95 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Simplifying 679 yields:
% 43.33/13.55  																																							| (680)  ~ (all_0_95_95 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Equations (750) can reduce 294 to:
% 43.33/13.55  																																							| (487)  ~ (e2 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| Simplifying 487 yields:
% 43.33/13.55  																																							| (243)  ~ (e2 = e1)
% 43.33/13.55  																																							|
% 43.33/13.55  																																							| From (750) and (218) follows:
% 43.33/13.55  																																							| (3486) op(e1, e3) = e1
% 43.33/13.55  																																							|
% 43.33/13.55  																																							+-Applying beta-rule and splitting (220), into two cases.
% 43.33/13.55  																																							|-Branch one:
% 43.33/13.55  																																							| (771) all_0_78_78 = e3
% 43.33/13.55  																																							|
% 43.33/13.55  																																								| Combining equations (771,400) yields a new equation:
% 43.33/13.55  																																								| (547) e3 = e2
% 43.33/13.55  																																								|
% 43.33/13.55  																																								| Simplifying 547 yields:
% 43.33/13.55  																																								| (548) e3 = e2
% 43.33/13.55  																																								|
% 43.33/13.55  																																								| Equations (548) can reduce 169 to:
% 43.33/13.55  																																								| (311) $false
% 43.33/13.55  																																								|
% 43.33/13.55  																																								|-The branch is then unsatisfiable
% 43.33/13.55  																																							|-Branch two:
% 43.33/13.55  																																							| (418)  ~ (all_0_78_78 = e3)
% 43.33/13.55  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.33/13.55  																																							|
% 43.33/13.55  																																								+-Applying beta-rule and splitting (151), into two cases.
% 43.33/13.55  																																								|-Branch one:
% 43.33/13.55  																																								| (824) all_0_80_80 = e1
% 43.33/13.55  																																								|
% 43.33/13.55  																																									| Equations (824) can reduce 828 to:
% 43.33/13.55  																																									| (311) $false
% 43.33/13.55  																																									|
% 43.33/13.55  																																									|-The branch is then unsatisfiable
% 43.33/13.55  																																								|-Branch two:
% 43.33/13.55  																																								| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.55  																																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.33/13.55  																																								|
% 43.33/13.55  																																									+-Applying beta-rule and splitting (788), into two cases.
% 43.33/13.55  																																									|-Branch one:
% 43.33/13.55  																																									| (960) all_0_96_96 = e1
% 43.33/13.55  																																									|
% 43.33/13.55  																																										| Combining equations (1704,960) yields a new equation:
% 43.33/13.55  																																										| (408) e2 = e1
% 43.33/13.55  																																										|
% 43.33/13.55  																																										| Simplifying 408 yields:
% 43.33/13.55  																																										| (385) e2 = e1
% 43.33/13.55  																																										|
% 43.33/13.55  																																										| Equations (385) can reduce 243 to:
% 43.33/13.55  																																										| (311) $false
% 43.33/13.55  																																										|
% 43.33/13.55  																																										|-The branch is then unsatisfiable
% 43.33/13.55  																																									|-Branch two:
% 43.33/13.55  																																									| (1479)  ~ (all_0_96_96 = e1)
% 43.33/13.55  																																									| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.33/13.55  																																									|
% 43.33/13.56  																																										| Equations (1704) can reduce 1479 to:
% 43.33/13.56  																																										| (243)  ~ (e2 = e1)
% 43.33/13.56  																																										|
% 43.33/13.56  																																										+-Applying beta-rule and splitting (770), into two cases.
% 43.33/13.56  																																										|-Branch one:
% 43.33/13.56  																																										| (785) all_0_95_95 = e1
% 43.33/13.56  																																										|
% 43.33/13.56  																																											| Equations (785) can reduce 680 to:
% 43.33/13.56  																																											| (311) $false
% 43.33/13.56  																																											|
% 43.33/13.56  																																											|-The branch is then unsatisfiable
% 43.33/13.56  																																										|-Branch two:
% 43.33/13.56  																																										| (680)  ~ (all_0_95_95 = e1)
% 43.33/13.56  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.33/13.56  																																										|
% 43.33/13.56  																																											+-Applying beta-rule and splitting (829), into two cases.
% 43.33/13.56  																																											|-Branch one:
% 43.33/13.56  																																											| (482) all_0_87_87 = e1
% 43.33/13.56  																																											|
% 43.33/13.56  																																												| Combining equations (482,374) yields a new equation:
% 43.33/13.56  																																												| (385) e2 = e1
% 43.33/13.56  																																												|
% 43.33/13.56  																																												| Equations (385) can reduce 243 to:
% 43.33/13.56  																																												| (311) $false
% 43.33/13.56  																																												|
% 43.33/13.56  																																												|-The branch is then unsatisfiable
% 43.33/13.56  																																											|-Branch two:
% 43.33/13.56  																																											| (625)  ~ (all_0_87_87 = e1)
% 43.33/13.56  																																											| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.33/13.56  																																											|
% 43.33/13.56  																																												+-Applying beta-rule and splitting (835), into two cases.
% 43.33/13.56  																																												|-Branch one:
% 43.33/13.56  																																												| (836) all_0_92_92 = e1
% 43.33/13.56  																																												|
% 43.33/13.56  																																													| Equations (836) can reduce 840 to:
% 43.33/13.56  																																													| (311) $false
% 43.33/13.56  																																													|
% 43.33/13.56  																																													|-The branch is then unsatisfiable
% 43.33/13.56  																																												|-Branch two:
% 43.33/13.56  																																												| (840)  ~ (all_0_92_92 = e1)
% 43.33/13.56  																																												| (542) all_0_97_97 = e1
% 43.33/13.56  																																												|
% 43.33/13.56  																																													| Combining equations (542,8321) yields a new equation:
% 43.33/13.56  																																													| (2602) all_0_73_73 = e1
% 43.33/13.56  																																													|
% 43.33/13.56  																																													| Equations (542) can reduce 202 to:
% 43.33/13.56  																																													| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.56  																																													|
% 43.33/13.56  																																													| Equations (542) can reduce 258 to:
% 43.33/13.56  																																													| (840)  ~ (all_0_92_92 = e1)
% 43.33/13.56  																																													|
% 43.33/13.56  																																													| Equations (542) can reduce 319 to:
% 43.33/13.56  																																													| (681)  ~ (e4 = e1)
% 43.33/13.56  																																													|
% 43.33/13.56  																																													| Simplifying 681 yields:
% 43.33/13.56  																																													| (256)  ~ (e4 = e1)
% 43.33/13.56  																																													|
% 43.33/13.56  																																													| From (542) and (252) follows:
% 43.33/13.56  																																													| (3446) op(e1, e1) = all_0_67_67
% 43.33/13.56  																																													|
% 43.33/13.56  																																													+-Applying beta-rule and splitting (775), into two cases.
% 43.33/13.56  																																													|-Branch one:
% 43.33/13.56  																																													| (789) all_0_82_82 = e3
% 43.33/13.56  																																													|
% 43.33/13.56  																																														| Combining equations (469,789) yields a new equation:
% 43.33/13.56  																																														| (790) e4 = e3
% 43.33/13.56  																																														|
% 43.33/13.56  																																														| Simplifying 790 yields:
% 43.33/13.56  																																														| (434) e4 = e3
% 43.33/13.56  																																														|
% 43.33/13.56  																																														| Equations (434) can reduce 177 to:
% 43.33/13.56  																																														| (311) $false
% 43.33/13.56  																																														|
% 43.33/13.56  																																														|-The branch is then unsatisfiable
% 43.33/13.56  																																													|-Branch two:
% 43.33/13.56  																																													| (793)  ~ (all_0_82_82 = e3)
% 43.33/13.56  																																													| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.33/13.56  																																													|
% 43.33/13.56  																																														+-Applying beta-rule and splitting (853), into two cases.
% 43.33/13.56  																																														|-Branch one:
% 43.33/13.56  																																														| (744) all_0_95_95 = e3
% 43.33/13.56  																																														|
% 43.33/13.56  																																															| Equations (744) can reduce 315 to:
% 43.33/13.56  																																															| (783)  ~ (e4 = e3)
% 43.33/13.56  																																															|
% 43.33/13.56  																																															| Simplifying 783 yields:
% 43.33/13.56  																																															| (177)  ~ (e4 = e3)
% 43.33/13.56  																																															|
% 43.33/13.56  																																															| Equations (744) can reduce 355 to:
% 43.33/13.56  																																															| (169)  ~ (e3 = e2)
% 43.33/13.56  																																															|
% 43.33/13.56  																																															| Equations (744) can reduce 893 to:
% 43.33/13.56  																																															| (50)  ~ (e3 = e0)
% 43.33/13.56  																																															|
% 43.33/13.56  																																															| From (744) and (275) follows:
% 43.33/13.56  																																															| (1522) op(e0, e3) = e3
% 43.33/13.56  																																															|
% 43.33/13.56  																																															| Instantiating formula (262) with e1, e1, all_0_67_67, all_0_92_92 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = all_0_92_92, yields:
% 43.33/13.56  																																															| (11786) all_0_67_67 = all_0_92_92
% 43.33/13.56  																																															|
% 43.33/13.56  																																															+-Applying beta-rule and splitting (276), into two cases.
% 43.33/13.56  																																															|-Branch one:
% 43.33/13.56  																																															| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.33/13.56  																																															|
% 43.33/13.56  																																																+-Applying beta-rule and splitting (577), into two cases.
% 43.33/13.56  																																																|-Branch one:
% 43.33/13.56  																																																| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.33/13.56  																																																|
% 43.33/13.56  																																																	+-Applying beta-rule and splitting (578), into two cases.
% 43.33/13.56  																																																	|-Branch one:
% 43.33/13.56  																																																	| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.33/13.56  																																																	|
% 43.33/13.56  																																																		| Applying alpha-rule on (579) yields:
% 43.33/13.56  																																																		| (580) all_0_60_60 = e4
% 43.33/13.56  																																																		| (581)  ~ (all_0_61_61 = e1)
% 43.33/13.56  																																																		|
% 43.33/13.56  																																																		| From (580) and (233) follows:
% 43.33/13.56  																																																		| (11792) op(e1, all_0_80_80) = e4
% 43.33/13.56  																																																		|
% 43.33/13.56  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 43.33/13.56  																																																		|-Branch one:
% 43.33/13.56  																																																		| (635) all_0_81_81 = e3
% 43.33/13.56  																																																		|
% 43.33/13.56  																																																			| Equations (635) can reduce 144 to:
% 43.33/13.56  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.56  																																																			|
% 43.33/13.56  																																																			+-Applying beta-rule and splitting (45), into two cases.
% 43.33/13.56  																																																			|-Branch one:
% 43.33/13.56  																																																			| (546) all_0_80_80 = e2
% 43.33/13.56  																																																			|
% 43.33/13.56  																																																				| Equations (546) can reduce 394 to:
% 43.33/13.56  																																																				| (311) $false
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				|-The branch is then unsatisfiable
% 43.33/13.56  																																																			|-Branch two:
% 43.33/13.56  																																																			| (394)  ~ (all_0_80_80 = e2)
% 43.33/13.56  																																																			| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.33/13.56  																																																			|
% 43.33/13.56  																																																				+-Applying beta-rule and splitting (207), into two cases.
% 43.33/13.56  																																																				|-Branch one:
% 43.33/13.56  																																																				| (416) all_0_80_80 = e3
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																					| Equations (416) can reduce 2347 to:
% 43.33/13.56  																																																					| (311) $false
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																					|-The branch is then unsatisfiable
% 43.33/13.56  																																																				|-Branch two:
% 43.33/13.56  																																																				| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.56  																																																				| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																					+-Applying beta-rule and splitting (3232), into two cases.
% 43.33/13.56  																																																					|-Branch one:
% 43.33/13.56  																																																					| (824) all_0_80_80 = e1
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																						| Equations (824) can reduce 828 to:
% 43.33/13.56  																																																						| (311) $false
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																						|-The branch is then unsatisfiable
% 43.33/13.56  																																																					|-Branch two:
% 43.33/13.56  																																																					| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.56  																																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																						+-Applying beta-rule and splitting (4018), into two cases.
% 43.33/13.56  																																																						|-Branch one:
% 43.33/13.56  																																																						| (416) all_0_80_80 = e3
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																							| Equations (416) can reduce 2347 to:
% 43.33/13.56  																																																							| (311) $false
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							|-The branch is then unsatisfiable
% 43.33/13.56  																																																						|-Branch two:
% 43.33/13.56  																																																						| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.56  																																																						| (433) all_0_80_80 = e4
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																							| Equations (433) can reduce 49 to:
% 43.33/13.56  																																																							| (1906)  ~ (all_0_92_92 = e4)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| Simplifying 1906 yields:
% 43.33/13.56  																																																							| (1619)  ~ (all_0_92_92 = e4)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| Equations (433) can reduce 394 to:
% 43.33/13.56  																																																							| (79)  ~ (e4 = e2)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| Equations (433) can reduce 828 to:
% 43.33/13.56  																																																							| (256)  ~ (e4 = e1)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| From (433) and (11792) follows:
% 43.33/13.56  																																																							| (4743) op(e1, e4) = e4
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							+-Applying beta-rule and splitting (46), into two cases.
% 43.33/13.56  																																																							|-Branch one:
% 43.33/13.56  																																																							| (308) all_0_89_89 = e4
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																								| Combining equations (292,308) yields a new equation:
% 43.33/13.56  																																																								| (310) e4 = e2
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																								| Equations (310) can reduce 79 to:
% 43.33/13.56  																																																								| (311) $false
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																								|-The branch is then unsatisfiable
% 43.33/13.56  																																																							|-Branch two:
% 43.33/13.56  																																																							| (312)  ~ (all_0_89_89 = e4)
% 43.33/13.56  																																																							| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																								+-Applying beta-rule and splitting (1915), into two cases.
% 43.33/13.56  																																																								|-Branch one:
% 43.33/13.56  																																																								| (583) all_0_90_90 = e4
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																									| Combining equations (750,583) yields a new equation:
% 43.33/13.56  																																																									| (814) e4 = e1
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																									| Equations (814) can reduce 256 to:
% 43.33/13.56  																																																									| (311) $false
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																									|-The branch is then unsatisfiable
% 43.33/13.56  																																																								|-Branch two:
% 43.33/13.56  																																																								| (467)  ~ (all_0_90_90 = e4)
% 43.33/13.56  																																																								| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																									+-Applying beta-rule and splitting (1928), into two cases.
% 43.33/13.56  																																																									|-Branch one:
% 43.33/13.56  																																																									| (442) all_0_92_92 = e4
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																										| Equations (442) can reduce 1619 to:
% 43.33/13.56  																																																										| (311) $false
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										|-The branch is then unsatisfiable
% 43.33/13.56  																																																									|-Branch two:
% 43.33/13.56  																																																									| (1619)  ~ (all_0_92_92 = e4)
% 43.33/13.56  																																																									| (607) all_0_93_93 = e4
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																										| Equations (607) can reduce 300 to:
% 43.33/13.56  																																																										| (79)  ~ (e4 = e2)
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| From (607) and (21) follows:
% 43.33/13.56  																																																										| (11642) op(e1, e4) = all_0_76_76
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Instantiating formula (262) with e1, e4, all_0_76_76, e2 and discharging atoms op(e1, e4) = all_0_76_76, op(e1, e4) = e2, yields:
% 43.33/13.56  																																																										| (11652) all_0_76_76 = e2
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Instantiating formula (262) with e1, e4, e4, all_0_76_76 and discharging atoms op(e1, e4) = all_0_76_76, op(e1, e4) = e4, yields:
% 43.33/13.56  																																																										| (4717) all_0_76_76 = e4
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Combining equations (4717,11652) yields a new equation:
% 43.33/13.56  																																																										| (309) e4 = e2
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Simplifying 309 yields:
% 43.33/13.56  																																																										| (310) e4 = e2
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Equations (310) can reduce 79 to:
% 43.33/13.56  																																																										| (311) $false
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										|-The branch is then unsatisfiable
% 43.33/13.56  																																																		|-Branch two:
% 43.33/13.56  																																																		| (420)  ~ (all_0_81_81 = e3)
% 43.33/13.56  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.33/13.56  																																																		|
% 43.33/13.56  																																																			+-Applying beta-rule and splitting (106), into two cases.
% 43.33/13.56  																																																			|-Branch one:
% 43.33/13.56  																																																			| (771) all_0_78_78 = e3
% 43.33/13.56  																																																			|
% 43.33/13.56  																																																				| Combining equations (771,400) yields a new equation:
% 43.33/13.56  																																																				| (547) e3 = e2
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				| Simplifying 547 yields:
% 43.33/13.56  																																																				| (548) e3 = e2
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				| Equations (548) can reduce 169 to:
% 43.33/13.56  																																																				| (311) $false
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				|-The branch is then unsatisfiable
% 43.33/13.56  																																																			|-Branch two:
% 43.33/13.56  																																																			| (418)  ~ (all_0_78_78 = e3)
% 43.33/13.56  																																																			| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.33/13.56  																																																			|
% 43.33/13.56  																																																				| Equations (400) can reduce 418 to:
% 43.33/13.56  																																																				| (356)  ~ (e3 = e2)
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				| Simplifying 356 yields:
% 43.33/13.56  																																																				| (169)  ~ (e3 = e2)
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																				+-Applying beta-rule and splitting (4488), into two cases.
% 43.33/13.56  																																																				|-Branch one:
% 43.33/13.56  																																																				| (804) all_0_85_85 = e3
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																					| Combining equations (512,804) yields a new equation:
% 43.33/13.56  																																																					| (548) e3 = e2
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																					| Equations (548) can reduce 169 to:
% 43.33/13.56  																																																					| (311) $false
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																					|-The branch is then unsatisfiable
% 43.33/13.56  																																																				|-Branch two:
% 43.33/13.56  																																																				| (952)  ~ (all_0_85_85 = e3)
% 43.33/13.56  																																																				| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.33/13.56  																																																				|
% 43.33/13.56  																																																					+-Applying beta-rule and splitting (4559), into two cases.
% 43.33/13.56  																																																					|-Branch one:
% 43.33/13.56  																																																					| (570) all_0_93_93 = e3
% 43.33/13.56  																																																					|
% 43.33/13.56  																																																						| Equations (570) can reduce 277 to:
% 43.33/13.56  																																																						| (420)  ~ (all_0_81_81 = e3)
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																						| From (570) and (21) follows:
% 43.33/13.56  																																																						| (4652) op(e1, e3) = all_0_76_76
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																						+-Applying beta-rule and splitting (168), into two cases.
% 43.33/13.56  																																																						|-Branch one:
% 43.33/13.56  																																																						| (638) all_0_81_81 = e4
% 43.33/13.56  																																																						|
% 43.33/13.56  																																																							| Equations (638) can reduce 144 to:
% 43.33/13.56  																																																							| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| Equations (638) can reduce 396 to:
% 43.33/13.56  																																																							| (79)  ~ (e4 = e2)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							| Equations (638) can reduce 628 to:
% 43.33/13.56  																																																							| (256)  ~ (e4 = e1)
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																							+-Applying beta-rule and splitting (207), into two cases.
% 43.33/13.56  																																																							|-Branch one:
% 43.33/13.56  																																																							| (416) all_0_80_80 = e3
% 43.33/13.56  																																																							|
% 43.33/13.56  																																																								| Equations (416) can reduce 436 to:
% 43.33/13.56  																																																								| (783)  ~ (e4 = e3)
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																								| Simplifying 783 yields:
% 43.33/13.56  																																																								| (177)  ~ (e4 = e3)
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																								| From (416) and (11792) follows:
% 43.33/13.56  																																																								| (4391) op(e1, e3) = e4
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																								+-Applying beta-rule and splitting (46), into two cases.
% 43.33/13.56  																																																								|-Branch one:
% 43.33/13.56  																																																								| (308) all_0_89_89 = e4
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																									| Combining equations (308,292) yields a new equation:
% 43.33/13.56  																																																									| (309) e4 = e2
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																									| Simplifying 309 yields:
% 43.33/13.56  																																																									| (310) e4 = e2
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																									| Equations (310) can reduce 79 to:
% 43.33/13.56  																																																									| (311) $false
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																									|-The branch is then unsatisfiable
% 43.33/13.56  																																																								|-Branch two:
% 43.33/13.56  																																																								| (312)  ~ (all_0_89_89 = e4)
% 43.33/13.56  																																																								| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.56  																																																								|
% 43.33/13.56  																																																									+-Applying beta-rule and splitting (1915), into two cases.
% 43.33/13.56  																																																									|-Branch one:
% 43.33/13.56  																																																									| (583) all_0_90_90 = e4
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																										| Combining equations (750,583) yields a new equation:
% 43.33/13.56  																																																										| (814) e4 = e1
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										| Equations (814) can reduce 256 to:
% 43.33/13.56  																																																										| (311) $false
% 43.33/13.56  																																																										|
% 43.33/13.56  																																																										|-The branch is then unsatisfiable
% 43.33/13.56  																																																									|-Branch two:
% 43.33/13.56  																																																									| (467)  ~ (all_0_90_90 = e4)
% 43.33/13.56  																																																									| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.56  																																																									|
% 43.33/13.56  																																																										+-Applying beta-rule and splitting (1928), into two cases.
% 43.33/13.56  																																																										|-Branch one:
% 43.33/13.56  																																																										| (442) all_0_92_92 = e4
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																											| Equations (442) can reduce 840 to:
% 43.33/13.57  																																																											| (256)  ~ (e4 = e1)
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Instantiating formula (262) with e1, e3, all_0_76_76, e1 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e1, yields:
% 43.33/13.57  																																																											| (8510) all_0_76_76 = e1
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Instantiating formula (262) with e1, e3, e4, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e4, yields:
% 43.33/13.57  																																																											| (4717) all_0_76_76 = e4
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Combining equations (4717,8510) yields a new equation:
% 43.33/13.57  																																																											| (813) e4 = e1
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Simplifying 813 yields:
% 43.33/13.57  																																																											| (814) e4 = e1
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Equations (814) can reduce 256 to:
% 43.33/13.57  																																																											| (311) $false
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											|-The branch is then unsatisfiable
% 43.33/13.57  																																																										|-Branch two:
% 43.33/13.57  																																																										| (1619)  ~ (all_0_92_92 = e4)
% 43.33/13.57  																																																										| (607) all_0_93_93 = e4
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																											| Combining equations (570,607) yields a new equation:
% 43.33/13.57  																																																											| (434) e4 = e3
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											| Equations (434) can reduce 177 to:
% 43.33/13.57  																																																											| (311) $false
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											|-The branch is then unsatisfiable
% 43.33/13.57  																																																							|-Branch two:
% 43.33/13.57  																																																							| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.57  																																																							| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								+-Applying beta-rule and splitting (210), into two cases.
% 43.33/13.57  																																																								|-Branch one:
% 43.33/13.57  																																																								| (433) all_0_80_80 = e4
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									| Equations (433) can reduce 436 to:
% 43.33/13.57  																																																									| (311) $false
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									|-The branch is then unsatisfiable
% 43.33/13.57  																																																								|-Branch two:
% 43.33/13.57  																																																								| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.57  																																																								| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									+-Applying beta-rule and splitting (45), into two cases.
% 43.33/13.57  																																																									|-Branch one:
% 43.33/13.57  																																																									| (546) all_0_80_80 = e2
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										| Equations (546) can reduce 394 to:
% 43.33/13.57  																																																										| (311) $false
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										|-The branch is then unsatisfiable
% 43.33/13.57  																																																									|-Branch two:
% 43.33/13.57  																																																									| (394)  ~ (all_0_80_80 = e2)
% 43.33/13.57  																																																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										+-Applying beta-rule and splitting (3232), into two cases.
% 43.33/13.57  																																																										|-Branch one:
% 43.33/13.57  																																																										| (824) all_0_80_80 = e1
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																											| Equations (824) can reduce 828 to:
% 43.33/13.57  																																																											| (311) $false
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																											|-The branch is then unsatisfiable
% 43.33/13.57  																																																										|-Branch two:
% 43.33/13.57  																																																										| (828)  ~ (all_0_80_80 = e1)
% 43.33/13.57  																																																										| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																											+-Applying beta-rule and splitting (4018), into two cases.
% 43.33/13.57  																																																											|-Branch one:
% 43.33/13.57  																																																											| (416) all_0_80_80 = e3
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																												| Equations (416) can reduce 2347 to:
% 43.33/13.57  																																																												| (311) $false
% 43.33/13.57  																																																												|
% 43.33/13.57  																																																												|-The branch is then unsatisfiable
% 43.33/13.57  																																																											|-Branch two:
% 43.33/13.57  																																																											| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.57  																																																											| (433) all_0_80_80 = e4
% 43.33/13.57  																																																											|
% 43.33/13.57  																																																												| Equations (433) can reduce 436 to:
% 43.33/13.57  																																																												| (311) $false
% 43.33/13.57  																																																												|
% 43.33/13.57  																																																												|-The branch is then unsatisfiable
% 43.33/13.57  																																																						|-Branch two:
% 43.33/13.57  																																																						| (634)  ~ (all_0_81_81 = e4)
% 43.33/13.57  																																																						| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																							+-Applying beta-rule and splitting (641), into two cases.
% 43.33/13.57  																																																							|-Branch one:
% 43.33/13.57  																																																							| (433) all_0_80_80 = e4
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								| Equations (433) can reduce 144 to:
% 43.33/13.57  																																																								| (1730)  ~ (all_0_81_81 = e4)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Simplifying 1730 yields:
% 43.33/13.57  																																																								| (634)  ~ (all_0_81_81 = e4)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								+-Applying beta-rule and splitting (476), into two cases.
% 43.33/13.57  																																																								|-Branch one:
% 43.33/13.57  																																																								| (477) all_0_81_81 = e1
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									| Equations (477) can reduce 628 to:
% 43.33/13.57  																																																									| (311) $false
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									|-The branch is then unsatisfiable
% 43.33/13.57  																																																								|-Branch two:
% 43.33/13.57  																																																								| (628)  ~ (all_0_81_81 = e1)
% 43.33/13.57  																																																								| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									+-Applying beta-rule and splitting (629), into two cases.
% 43.33/13.57  																																																									|-Branch one:
% 43.33/13.57  																																																									| (635) all_0_81_81 = e3
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										| Equations (635) can reduce 420 to:
% 43.33/13.57  																																																										| (311) $false
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										|-The branch is then unsatisfiable
% 43.33/13.57  																																																									|-Branch two:
% 43.33/13.57  																																																									| (420)  ~ (all_0_81_81 = e3)
% 43.33/13.57  																																																									| (638) all_0_81_81 = e4
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										| Equations (638) can reduce 634 to:
% 43.33/13.57  																																																										| (311) $false
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										|-The branch is then unsatisfiable
% 43.33/13.57  																																																							|-Branch two:
% 43.33/13.57  																																																							| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.57  																																																							| (638) all_0_81_81 = e4
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								| Equations (638) can reduce 634 to:
% 43.33/13.57  																																																								| (311) $false
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								|-The branch is then unsatisfiable
% 43.33/13.57  																																																					|-Branch two:
% 43.33/13.57  																																																					| (602)  ~ (all_0_93_93 = e3)
% 43.33/13.57  																																																					| (969) all_0_98_98 = e3
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																						| Combining equations (969,1121) yields a new equation:
% 43.33/13.57  																																																						| (599) e3 = e0
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						| Simplifying 599 yields:
% 43.33/13.57  																																																						| (600) e3 = e0
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						| Equations (600) can reduce 50 to:
% 43.33/13.57  																																																						| (311) $false
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						|-The branch is then unsatisfiable
% 43.33/13.57  																																																	|-Branch two:
% 43.33/13.57  																																																	| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.33/13.57  																																																	|
% 43.33/13.57  																																																		| Applying alpha-rule on (585) yields:
% 43.33/13.57  																																																		| (586) all_0_62_62 = e3
% 43.33/13.57  																																																		| (587)  ~ (all_0_63_63 = e1)
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| Combining equations (586,1367) yields a new equation:
% 43.33/13.57  																																																		| (570) all_0_93_93 = e3
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| Equations (11550) can reduce 587 to:
% 43.33/13.57  																																																		| (243)  ~ (e2 = e1)
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| Equations (570) can reduce 283 to:
% 43.33/13.57  																																																		| (426)  ~ (all_0_92_92 = e3)
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| Equations (570) can reduce 481 to:
% 43.33/13.57  																																																		| (20)  ~ (e3 = e1)
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| Equations (570) can reduce 509 to:
% 43.33/13.57  																																																		| (50)  ~ (e3 = e0)
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		| From (570) and (173) follows:
% 43.33/13.57  																																																		| (4654) op(e0, e3) = all_0_75_75
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																		+-Applying beta-rule and splitting (207), into two cases.
% 43.33/13.57  																																																		|-Branch one:
% 43.33/13.57  																																																		| (416) all_0_80_80 = e3
% 43.33/13.57  																																																		|
% 43.33/13.57  																																																			| Equations (416) can reduce 49 to:
% 43.33/13.57  																																																			| (425)  ~ (all_0_92_92 = e3)
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																			| Simplifying 425 yields:
% 43.33/13.57  																																																			| (426)  ~ (all_0_92_92 = e3)
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																			| Equations (416) can reduce 394 to:
% 43.33/13.57  																																																			| (169)  ~ (e3 = e2)
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																			| Equations (416) can reduce 828 to:
% 43.33/13.57  																																																			| (20)  ~ (e3 = e1)
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																			+-Applying beta-rule and splitting (210), into two cases.
% 43.33/13.57  																																																			|-Branch one:
% 43.33/13.57  																																																			| (433) all_0_80_80 = e4
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																				| Combining equations (416,433) yields a new equation:
% 43.33/13.57  																																																				| (434) e4 = e3
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																				| Equations (434) can reduce 177 to:
% 43.33/13.57  																																																				| (311) $false
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																				|-The branch is then unsatisfiable
% 43.33/13.57  																																																			|-Branch two:
% 43.33/13.57  																																																			| (436)  ~ (all_0_80_80 = e4)
% 43.33/13.57  																																																			| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.33/13.57  																																																			|
% 43.33/13.57  																																																				| Equations (416) can reduce 436 to:
% 43.33/13.57  																																																				| (783)  ~ (e4 = e3)
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																				| Simplifying 783 yields:
% 43.33/13.57  																																																				| (177)  ~ (e4 = e3)
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																				+-Applying beta-rule and splitting (46), into two cases.
% 43.33/13.57  																																																				|-Branch one:
% 43.33/13.57  																																																				| (308) all_0_89_89 = e4
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																					| Combining equations (308,292) yields a new equation:
% 43.33/13.57  																																																					| (309) e4 = e2
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																					| Simplifying 309 yields:
% 43.33/13.57  																																																					| (310) e4 = e2
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																					| Equations (310) can reduce 79 to:
% 43.33/13.57  																																																					| (311) $false
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																					|-The branch is then unsatisfiable
% 43.33/13.57  																																																				|-Branch two:
% 43.33/13.57  																																																				| (312)  ~ (all_0_89_89 = e4)
% 43.33/13.57  																																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.57  																																																				|
% 43.33/13.57  																																																					+-Applying beta-rule and splitting (168), into two cases.
% 43.33/13.57  																																																					|-Branch one:
% 43.33/13.57  																																																					| (638) all_0_81_81 = e4
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																						| From (638) and (68) follows:
% 43.33/13.57  																																																						| (657) op(e4, e4) = all_0_70_70
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 43.33/13.57  																																																						| (686) all_0_70_70 = e0
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						| Instantiating formula (262) with e0, e3, all_0_75_75, e3 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = e3, yields:
% 43.33/13.57  																																																						| (9862) all_0_75_75 = e3
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																						+-Applying beta-rule and splitting (89), into two cases.
% 43.33/13.57  																																																						|-Branch one:
% 43.33/13.57  																																																						| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																							+-Applying beta-rule and splitting (1373), into two cases.
% 43.33/13.57  																																																							|-Branch one:
% 43.33/13.57  																																																							| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								+-Applying beta-rule and splitting (1374), into two cases.
% 43.33/13.57  																																																								|-Branch one:
% 43.33/13.57  																																																								| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									| Applying alpha-rule on (1375) yields:
% 43.33/13.57  																																																									| (1376) all_0_69_69 = e4
% 43.33/13.57  																																																									| (1377)  ~ (all_0_70_70 = e0)
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									| Equations (686) can reduce 1377 to:
% 43.33/13.57  																																																									| (311) $false
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									|-The branch is then unsatisfiable
% 43.33/13.57  																																																								|-Branch two:
% 43.33/13.57  																																																								| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									| Applying alpha-rule on (1379) yields:
% 43.33/13.57  																																																									| (1380) all_0_71_71 = e3
% 43.33/13.57  																																																									| (1381)  ~ (all_0_72_72 = e0)
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									| Combining equations (1380,2601) yields a new equation:
% 43.33/13.57  																																																									| (547) e3 = e2
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									| Simplifying 547 yields:
% 43.33/13.57  																																																									| (548) e3 = e2
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									| Equations (548) can reduce 169 to:
% 43.33/13.57  																																																									| (311) $false
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									|-The branch is then unsatisfiable
% 43.33/13.57  																																																							|-Branch two:
% 43.33/13.57  																																																							| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								| Applying alpha-rule on (1385) yields:
% 43.33/13.57  																																																								| (1386) all_0_73_73 = e2
% 43.33/13.57  																																																								| (1387)  ~ (all_0_74_74 = e0)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Combining equations (1386,2602) yields a new equation:
% 43.33/13.57  																																																								| (408) e2 = e1
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Simplifying 408 yields:
% 43.33/13.57  																																																								| (385) e2 = e1
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Equations (385) can reduce 243 to:
% 43.33/13.57  																																																								| (311) $false
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								|-The branch is then unsatisfiable
% 43.33/13.57  																																																						|-Branch two:
% 43.33/13.57  																																																						| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																							| Applying alpha-rule on (1391) yields:
% 43.33/13.57  																																																							| (1392) all_0_75_75 = e1
% 43.33/13.57  																																																							| (1393)  ~ (all_0_76_76 = e0)
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							| Combining equations (9862,1392) yields a new equation:
% 43.33/13.57  																																																							| (825) e3 = e1
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							| Simplifying 825 yields:
% 43.33/13.57  																																																							| (772) e3 = e1
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							| Equations (772) can reduce 20 to:
% 43.33/13.57  																																																							| (311) $false
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							|-The branch is then unsatisfiable
% 43.33/13.57  																																																					|-Branch two:
% 43.33/13.57  																																																					| (634)  ~ (all_0_81_81 = e4)
% 43.33/13.57  																																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.33/13.57  																																																					|
% 43.33/13.57  																																																						+-Applying beta-rule and splitting (1915), into two cases.
% 43.33/13.57  																																																						|-Branch one:
% 43.33/13.57  																																																						| (583) all_0_90_90 = e4
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																							| Combining equations (750,583) yields a new equation:
% 43.33/13.57  																																																							| (814) e4 = e1
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							| Equations (814) can reduce 256 to:
% 43.33/13.57  																																																							| (311) $false
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																							|-The branch is then unsatisfiable
% 43.33/13.57  																																																						|-Branch two:
% 43.33/13.57  																																																						| (467)  ~ (all_0_90_90 = e4)
% 43.33/13.57  																																																						| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.33/13.57  																																																						|
% 43.33/13.57  																																																							+-Applying beta-rule and splitting (1928), into two cases.
% 43.33/13.57  																																																							|-Branch one:
% 43.33/13.57  																																																							| (442) all_0_92_92 = e4
% 43.33/13.57  																																																							|
% 43.33/13.57  																																																								| Equations (442) can reduce 426 to:
% 43.33/13.57  																																																								| (177)  ~ (e4 = e3)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Equations (442) can reduce 298 to:
% 43.33/13.57  																																																								| (79)  ~ (e4 = e2)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								| Equations (442) can reduce 946 to:
% 43.33/13.57  																																																								| (23)  ~ (e4 = e0)
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																								+-Applying beta-rule and splitting (2559), into two cases.
% 43.33/13.57  																																																								|-Branch one:
% 43.33/13.57  																																																								| (493) all_0_85_85 = e4
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									| Combining equations (512,493) yields a new equation:
% 43.33/13.57  																																																									| (310) e4 = e2
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									| Equations (310) can reduce 79 to:
% 43.33/13.57  																																																									| (311) $false
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																									|-The branch is then unsatisfiable
% 43.33/13.57  																																																								|-Branch two:
% 43.33/13.57  																																																								| (648)  ~ (all_0_85_85 = e4)
% 43.33/13.57  																																																								| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 43.33/13.57  																																																								|
% 43.33/13.57  																																																									+-Applying beta-rule and splitting (2576), into two cases.
% 43.33/13.57  																																																									|-Branch one:
% 43.33/13.57  																																																									| (607) all_0_93_93 = e4
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										| Combining equations (607,570) yields a new equation:
% 43.33/13.57  																																																										| (790) e4 = e3
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										| Simplifying 790 yields:
% 43.33/13.57  																																																										| (434) e4 = e3
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										| Equations (434) can reduce 177 to:
% 43.33/13.57  																																																										| (311) $false
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										|-The branch is then unsatisfiable
% 43.33/13.57  																																																									|-Branch two:
% 43.33/13.57  																																																									| (496)  ~ (all_0_93_93 = e4)
% 43.33/13.57  																																																									| (2650) all_0_98_98 = e4
% 43.33/13.57  																																																									|
% 43.33/13.57  																																																										| Combining equations (1121,2650) yields a new equation:
% 43.33/13.57  																																																										| (912) e4 = e0
% 43.33/13.57  																																																										|
% 43.33/13.57  																																																										| Equations (912) can reduce 23 to:
% 43.33/13.57  																																																										| (311) $false
% 43.33/13.58  																																																										|
% 43.33/13.58  																																																										|-The branch is then unsatisfiable
% 43.33/13.58  																																																							|-Branch two:
% 43.33/13.58  																																																							| (1619)  ~ (all_0_92_92 = e4)
% 43.33/13.58  																																																							| (607) all_0_93_93 = e4
% 43.33/13.58  																																																							|
% 43.33/13.58  																																																								| Combining equations (570,607) yields a new equation:
% 43.33/13.58  																																																								| (434) e4 = e3
% 43.33/13.58  																																																								|
% 43.33/13.58  																																																								| Equations (434) can reduce 177 to:
% 43.33/13.58  																																																								| (311) $false
% 43.33/13.58  																																																								|
% 43.33/13.58  																																																								|-The branch is then unsatisfiable
% 43.33/13.58  																																																		|-Branch two:
% 43.33/13.58  																																																		| (2347)  ~ (all_0_80_80 = e3)
% 43.33/13.58  																																																		| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.33/13.58  																																																		|
% 43.33/13.58  																																																			+-Applying beta-rule and splitting (2481), into two cases.
% 43.33/13.58  																																																			|-Branch one:
% 43.33/13.58  																																																			| (1265) all_0_84_84 = e3
% 43.33/13.58  																																																			|
% 43.33/13.58  																																																				| Combining equations (916,1265) yields a new equation:
% 43.33/13.58  																																																				| (600) e3 = e0
% 43.33/13.58  																																																				|
% 43.33/13.58  																																																				| Equations (600) can reduce 50 to:
% 43.33/13.58  																																																				| (311) $false
% 43.33/13.58  																																																				|
% 43.33/13.58  																																																				|-The branch is then unsatisfiable
% 43.33/13.58  																																																			|-Branch two:
% 43.33/13.58  																																																			| (422)  ~ (all_0_84_84 = e3)
% 43.33/13.58  																																																			| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.33/13.58  																																																			|
% 43.33/13.58  																																																				+-Applying beta-rule and splitting (3765), into two cases.
% 43.33/13.58  																																																				|-Branch one:
% 43.33/13.58  																																																				| (882) all_0_92_92 = e3
% 43.33/13.58  																																																				|
% 43.33/13.58  																																																					| Equations (882) can reduce 426 to:
% 43.33/13.58  																																																					| (311) $false
% 43.33/13.58  																																																					|
% 43.33/13.58  																																																					|-The branch is then unsatisfiable
% 43.33/13.58  																																																				|-Branch two:
% 43.33/13.58  																																																				| (426)  ~ (all_0_92_92 = e3)
% 43.33/13.58  																																																				| (556) all_0_97_97 = e3
% 43.33/13.58  																																																				|
% 43.33/13.58  																																																					| Combining equations (542,556) yields a new equation:
% 43.33/13.58  																																																					| (772) e3 = e1
% 43.33/13.58  																																																					|
% 43.33/13.58  																																																					| Equations (772) can reduce 20 to:
% 43.33/13.58  																																																					| (311) $false
% 43.33/13.58  																																																					|
% 43.33/13.58  																																																					|-The branch is then unsatisfiable
% 43.33/13.58  																																																|-Branch two:
% 43.33/13.58  																																																| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.33/13.58  																																																|
% 43.33/13.58  																																																	| Applying alpha-rule on (590) yields:
% 43.33/13.58  																																																	| (591) all_0_64_64 = e2
% 43.33/13.58  																																																	| (592)  ~ (all_0_65_65 = e1)
% 43.33/13.58  																																																	|
% 43.33/13.58  																																																	| Combining equations (5547,591) yields a new equation:
% 43.33/13.58  																																																	| (379) e2 = e0
% 43.33/13.58  																																																	|
% 43.33/13.58  																																																	| Equations (379) can reduce 76 to:
% 43.33/13.58  																																																	| (311) $false
% 43.33/13.58  																																																	|
% 43.33/13.58  																																																	|-The branch is then unsatisfiable
% 43.33/13.58  																																															|-Branch two:
% 43.33/13.58  																																															| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.33/13.58  																																															|
% 43.33/13.58  																																																| Applying alpha-rule on (596) yields:
% 43.33/13.58  																																																| (597) all_0_67_67 = e0
% 43.33/13.58  																																																| (598)  ~ (all_0_68_68 = e1)
% 43.33/13.58  																																																|
% 43.33/13.58  																																																| Combining equations (597,11786) yields a new equation:
% 43.33/13.58  																																																| (942) all_0_92_92 = e0
% 43.33/13.58  																																																|
% 43.33/13.58  																																																| Equations (942) can reduce 946 to:
% 43.33/13.58  																																																| (311) $false
% 43.33/13.58  																																																|
% 43.33/13.58  																																																|-The branch is then unsatisfiable
% 43.33/13.58  																																														|-Branch two:
% 43.33/13.58  																																														| (765)  ~ (all_0_95_95 = e3)
% 43.33/13.58  																																														| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.33/13.58  																																														|
% 43.33/13.58  																																															+-Applying beta-rule and splitting (794), into two cases.
% 43.33/13.58  																																															|-Branch one:
% 43.33/13.58  																																															| (754) all_0_90_90 = e3
% 43.33/13.58  																																															|
% 43.33/13.58  																																																| Combining equations (750,754) yields a new equation:
% 43.33/13.58  																																																| (772) e3 = e1
% 43.33/13.58  																																																|
% 43.33/13.58  																																																| Equations (772) can reduce 20 to:
% 43.33/13.58  																																																| (311) $false
% 43.33/13.58  																																																|
% 43.33/13.58  																																																|-The branch is then unsatisfiable
% 43.33/13.58  																																															|-Branch two:
% 43.33/13.58  																																															| (745)  ~ (all_0_90_90 = e3)
% 43.33/13.58  																																															| (744) all_0_95_95 = e3
% 43.33/13.58  																																															|
% 43.33/13.58  																																																| Equations (744) can reduce 765 to:
% 43.33/13.58  																																																| (311) $false
% 43.33/13.58  																																																|
% 43.33/13.58  																																																|-The branch is then unsatisfiable
% 43.33/13.58  																																						|-Branch two:
% 43.33/13.58  																																						| (678)  ~ (all_0_90_90 = e1)
% 43.33/13.58  																																						| (785) all_0_95_95 = e1
% 43.33/13.58  																																						|
% 43.33/13.58  																																							| Equations (785) can reduce 680 to:
% 43.33/13.58  																																							| (311) $false
% 43.33/13.58  																																							|
% 43.33/13.58  																																							|-The branch is then unsatisfiable
% 43.33/13.58  																															|-Branch two:
% 43.33/13.58  																															| (779)  ~ (all_0_83_83 = e3)
% 43.33/13.58  																															| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.33/13.58  																															|
% 43.33/13.58  																																+-Applying beta-rule and splitting (1594), into two cases.
% 43.33/13.58  																																|-Branch one:
% 43.33/13.58  																																| (1265) all_0_84_84 = e3
% 43.33/13.58  																																|
% 43.33/13.58  																																	| Combining equations (916,1265) yields a new equation:
% 43.33/13.58  																																	| (600) e3 = e0
% 43.33/13.58  																																	|
% 43.33/13.58  																																	| Equations (600) can reduce 50 to:
% 43.33/13.58  																																	| (311) $false
% 43.33/13.58  																																	|
% 43.33/13.58  																																	|-The branch is then unsatisfiable
% 43.33/13.58  																																|-Branch two:
% 43.33/13.58  																																| (422)  ~ (all_0_84_84 = e3)
% 43.33/13.58  																																| (804) all_0_85_85 = e3
% 43.33/13.58  																																|
% 43.33/13.58  																																	| Combining equations (512,804) yields a new equation:
% 43.33/13.58  																																	| (548) e3 = e2
% 43.33/13.58  																																	|
% 43.33/13.58  																																	| Equations (548) can reduce 169 to:
% 43.33/13.58  																																	| (311) $false
% 43.33/13.58  																																	|
% 43.33/13.58  																																	|-The branch is then unsatisfiable
% 43.33/13.58  																										|-Branch two:
% 43.33/13.58  																										| (465)  ~ (all_0_82_82 = e4)
% 43.33/13.58  																										| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.33/13.58  																										|
% 43.33/13.58  																											+-Applying beta-rule and splitting (1077), into two cases.
% 43.33/13.58  																											|-Branch one:
% 43.33/13.58  																											| (507) all_0_88_88 = e0
% 43.33/13.58  																											|
% 43.33/13.58  																												| Combining equations (507,504) yields a new equation:
% 43.33/13.58  																												| (865) e1 = e0
% 43.33/13.58  																												|
% 43.33/13.58  																												| Equations (865) can reduce 264 to:
% 43.33/13.58  																												| (311) $false
% 43.33/13.58  																												|
% 43.33/13.58  																												|-The branch is then unsatisfiable
% 43.33/13.58  																											|-Branch two:
% 43.33/13.58  																											| (1110)  ~ (all_0_88_88 = e0)
% 43.33/13.58  																											| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.33/13.58  																											|
% 43.33/13.58  																												+-Applying beta-rule and splitting (1111), into two cases.
% 43.33/13.58  																												|-Branch one:
% 43.33/13.58  																												| (604) all_0_93_93 = e0
% 43.33/13.58  																												|
% 43.33/13.58  																													| Equations (604) can reduce 509 to:
% 43.33/13.58  																													| (311) $false
% 43.33/13.58  																													|
% 43.33/13.58  																													|-The branch is then unsatisfiable
% 43.33/13.58  																												|-Branch two:
% 43.33/13.58  																												| (509)  ~ (all_0_93_93 = e0)
% 43.33/13.58  																												| (1121) all_0_98_98 = e0
% 43.33/13.58  																												|
% 43.33/13.58  																													| Equations (1121) can reduce 321 to:
% 43.33/13.58  																													| (904)  ~ (e4 = e0)
% 43.33/13.58  																													|
% 43.33/13.58  																													| Simplifying 904 yields:
% 43.33/13.58  																													| (23)  ~ (e4 = e0)
% 43.33/13.58  																													|
% 43.33/13.58  																													+-Applying beta-rule and splitting (472), into two cases.
% 43.33/13.58  																													|-Branch one:
% 43.33/13.58  																													| (438) all_0_84_84 = e4
% 43.33/13.58  																													|
% 43.33/13.58  																														| Combining equations (916,438) yields a new equation:
% 43.33/13.58  																														| (912) e4 = e0
% 43.33/13.58  																														|
% 43.33/13.58  																														| Equations (912) can reduce 23 to:
% 43.33/13.58  																														| (311) $false
% 43.33/13.58  																														|
% 43.33/13.58  																														|-The branch is then unsatisfiable
% 43.33/13.58  																													|-Branch two:
% 43.33/13.58  																													| (417)  ~ (all_0_84_84 = e4)
% 43.33/13.58  																													| (493) all_0_85_85 = e4
% 43.33/13.58  																													|
% 43.33/13.58  																														| Combining equations (512,493) yields a new equation:
% 43.33/13.58  																														| (310) e4 = e2
% 43.33/13.58  																														|
% 43.33/13.58  																														| Equations (310) can reduce 79 to:
% 43.33/13.58  																														| (311) $false
% 43.33/13.58  																														|
% 43.33/13.58  																														|-The branch is then unsatisfiable
% 43.33/13.58  																									|-Branch two:
% 43.33/13.58  																									| (919)  ~ (all_0_84_84 = e0)
% 43.33/13.58  																									| (954) all_0_85_85 = e0
% 43.33/13.58  																									|
% 43.33/13.58  																										| Combining equations (512,954) yields a new equation:
% 43.33/13.58  																										| (923) e2 = e0
% 43.33/13.58  																										|
% 43.33/13.58  																										| Simplifying 923 yields:
% 43.33/13.58  																										| (379) e2 = e0
% 43.33/13.58  																										|
% 43.33/13.58  																										| Equations (379) can reduce 76 to:
% 43.33/13.58  																										| (311) $false
% 43.33/13.58  																										|
% 43.33/13.58  																										|-The branch is then unsatisfiable
% 43.33/13.58  																							|-Branch two:
% 43.33/13.58  																							| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.58  																							| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.33/13.58  																							|
% 43.33/13.58  																								+-Applying beta-rule and splitting (1623), into two cases.
% 43.33/13.58  																								|-Branch one:
% 43.33/13.58  																								| (457) all_0_79_79 = e1
% 43.33/13.58  																								|
% 43.33/13.58  																									| Equations (457) can reduce 461 to:
% 43.33/13.58  																									| (311) $false
% 43.33/13.58  																									|
% 43.33/13.58  																									|-The branch is then unsatisfiable
% 43.33/13.58  																								|-Branch two:
% 43.33/13.58  																								| (461)  ~ (all_0_79_79 = e1)
% 43.33/13.58  																								| (1708) all_0_79_79 = e3
% 43.33/13.58  																								|
% 43.33/13.58  																									| Equations (1708) can reduce 272 to:
% 43.33/13.58  																									| (12083)  ~ (all_0_83_83 = e3)
% 43.33/13.58  																									|
% 43.33/13.58  																									| Simplifying 12083 yields:
% 43.33/13.58  																									| (779)  ~ (all_0_83_83 = e3)
% 43.33/13.58  																									|
% 43.33/13.58  																									+-Applying beta-rule and splitting (456), into two cases.
% 43.33/13.58  																									|-Branch one:
% 43.33/13.58  																									| (795) all_0_83_83 = e3
% 43.33/13.58  																									|
% 43.33/13.58  																										| Equations (795) can reduce 779 to:
% 43.33/13.58  																										| (311) $false
% 43.33/13.58  																										|
% 43.33/13.58  																										|-The branch is then unsatisfiable
% 43.33/13.58  																									|-Branch two:
% 43.33/13.58  																									| (779)  ~ (all_0_83_83 = e3)
% 43.33/13.58  																									| (798) all_0_83_83 = e0
% 43.33/13.58  																									|
% 43.33/13.58  																										| Equations (798) can reduce 1314 to:
% 43.33/13.58  																										| (311) $false
% 43.33/13.58  																										|
% 43.33/13.58  																										|-The branch is then unsatisfiable
% 43.33/13.58  																						|-Branch two:
% 43.33/13.58  																						| (1487)  ~ (all_0_91_91 = e0)
% 43.33/13.58  																						| (1837) all_0_96_96 = e0
% 43.33/13.58  																						|
% 43.33/13.58  																							| Combining equations (1837,1704) yields a new equation:
% 43.33/13.58  																							| (379) e2 = e0
% 43.33/13.58  																							|
% 43.33/13.58  																							| Equations (379) can reduce 76 to:
% 43.33/13.58  																							| (311) $false
% 43.33/13.58  																							|
% 43.33/13.58  																							|-The branch is then unsatisfiable
% 43.33/13.58  																		|-Branch two:
% 43.33/13.58  																		| (1638)  ~ (all_0_96_96 = e2)
% 43.33/13.58  																		| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 43.33/13.58  																		|
% 43.33/13.58  																			+-Applying beta-rule and splitting (8061), into two cases.
% 43.33/13.58  																			|-Branch one:
% 43.33/13.58  																			| (1723) all_0_91_91 = e2
% 43.33/13.58  																			|
% 43.33/13.58  																				| Equations (1723) can reduce 296 to:
% 43.33/13.58  																				| (311) $false
% 43.33/13.58  																				|
% 43.33/13.58  																				|-The branch is then unsatisfiable
% 43.33/13.58  																			|-Branch two:
% 43.33/13.58  																			| (296)  ~ (all_0_91_91 = e2)
% 43.33/13.58  																			| (1704) all_0_96_96 = e2
% 43.33/13.58  																			|
% 43.33/13.58  																				| Equations (1704) can reduce 1638 to:
% 43.33/13.58  																				| (311) $false
% 43.33/13.58  																				|
% 43.33/13.58  																				|-The branch is then unsatisfiable
% 43.33/13.58  									|-Branch two:
% 43.33/13.58  									| (346)  ~ (all_0_78_78 = e2)
% 43.33/13.58  									| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 43.33/13.58  									|
% 43.33/13.58  										+-Applying beta-rule and splitting (1658), into two cases.
% 43.33/13.58  										|-Branch one:
% 43.33/13.58  										| (390) all_0_79_79 = e2
% 43.33/13.58  										|
% 43.33/13.58  											| Equations (390) can reduce 1622 to:
% 43.33/13.58  											| (311) $false
% 43.33/13.58  											|
% 43.33/13.58  											|-The branch is then unsatisfiable
% 43.33/13.58  										|-Branch two:
% 43.33/13.58  										| (1622)  ~ (all_0_79_79 = e2)
% 43.33/13.58  										| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 43.33/13.58  										|
% 43.33/13.58  											+-Applying beta-rule and splitting (3249), into two cases.
% 43.33/13.58  											|-Branch one:
% 43.33/13.58  											| (546) all_0_80_80 = e2
% 43.33/13.58  											|
% 43.33/13.58  												| Equations (546) can reduce 394 to:
% 43.33/13.58  												| (311) $false
% 43.33/13.58  												|
% 43.33/13.58  												|-The branch is then unsatisfiable
% 43.33/13.58  											|-Branch two:
% 43.33/13.58  											| (394)  ~ (all_0_80_80 = e2)
% 43.33/13.58  											| (473) all_0_81_81 = e2
% 43.33/13.58  											|
% 43.33/13.58  												| Equations (473) can reduce 278 to:
% 43.33/13.58  												| (346)  ~ (all_0_78_78 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Equations (473) can reduce 15 to:
% 43.33/13.58  												| (1622)  ~ (all_0_79_79 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Equations (473) can reduce 144 to:
% 43.33/13.58  												| (394)  ~ (all_0_80_80 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Equations (473) can reduce 118 to:
% 43.33/13.58  												| (691)  ~ (all_0_85_85 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Simplifying 691 yields:
% 43.33/13.58  												| (515)  ~ (all_0_85_85 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Equations (473) can reduce 277 to:
% 43.33/13.58  												| (299)  ~ (all_0_93_93 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Simplifying 299 yields:
% 43.33/13.58  												| (300)  ~ (all_0_93_93 = e2)
% 43.33/13.58  												|
% 43.33/13.58  												| Equations (473) can reduce 257 to:
% 43.33/13.58  												| (76)  ~ (e2 = e0)
% 43.33/13.58  												|
% 43.33/13.58  												| From (473) and (156) follows:
% 43.33/13.58  												| (4045) op(e4, e0) = e2
% 43.33/13.58  												|
% 43.33/13.58  												+-Applying beta-rule and splitting (41), into two cases.
% 43.33/13.58  												|-Branch one:
% 43.33/13.58  												| (530) all_0_82_82 = e2
% 43.33/13.58  												|
% 43.33/13.58  													| Equations (530) can reduce 193 to:
% 43.33/13.58  													| (346)  ~ (all_0_78_78 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 116 to:
% 43.33/13.58  													| (397)  ~ (all_0_83_83 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Simplifying 397 yields:
% 43.33/13.58  													| (398)  ~ (all_0_83_83 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 7 to:
% 43.33/13.58  													| (1631)  ~ (all_0_84_84 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Simplifying 1631 yields:
% 43.33/13.58  													| (612)  ~ (all_0_84_84 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 209 to:
% 43.33/13.58  													| (691)  ~ (all_0_85_85 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Simplifying 691 yields:
% 43.33/13.58  													| (515)  ~ (all_0_85_85 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 255 to:
% 43.33/13.58  													| (293)  ~ (all_0_90_90 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Simplifying 293 yields:
% 43.33/13.58  													| (294)  ~ (all_0_90_90 = e2)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 198 to:
% 43.33/13.58  													| (243)  ~ (e2 = e1)
% 43.33/13.58  													|
% 43.33/13.58  													| Equations (530) can reduce 914 to:
% 43.33/13.58  													| (76)  ~ (e2 = e0)
% 43.33/13.58  													|
% 43.33/13.58  													| From (530) and (61) follows:
% 43.33/13.58  													| (12132) op(e3, e3) = e2
% 43.33/13.58  													|
% 43.33/13.58  													+-Applying beta-rule and splitting (248), into two cases.
% 43.33/13.58  													|-Branch one:
% 43.33/13.58  													| (390) all_0_79_79 = e2
% 43.33/13.58  													|
% 43.33/13.58  														| Equations (390) can reduce 1622 to:
% 43.33/13.58  														| (311) $false
% 43.33/13.58  														|
% 43.33/13.58  														|-The branch is then unsatisfiable
% 43.33/13.58  													|-Branch two:
% 43.33/13.59  													| (1622)  ~ (all_0_79_79 = e2)
% 43.33/13.59  													| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 43.33/13.59  													|
% 43.33/13.59  														+-Applying beta-rule and splitting (1627), into two cases.
% 43.33/13.59  														|-Branch one:
% 43.33/13.59  														| (453) all_0_83_83 = e2
% 43.33/13.59  														|
% 43.33/13.59  															| Equations (453) can reduce 398 to:
% 43.33/13.59  															| (311) $false
% 43.33/13.59  															|
% 43.33/13.59  															|-The branch is then unsatisfiable
% 43.33/13.59  														|-Branch two:
% 43.33/13.59  														| (398)  ~ (all_0_83_83 = e2)
% 43.33/13.59  														| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 43.33/13.59  														|
% 43.33/13.59  															+-Applying beta-rule and splitting (8061), into two cases.
% 43.33/13.59  															|-Branch one:
% 43.33/13.59  															| (1723) all_0_91_91 = e2
% 43.33/13.59  															|
% 43.33/13.59  																| Equations (1723) can reduce 296 to:
% 43.33/13.59  																| (311) $false
% 43.33/13.59  																|
% 43.33/13.59  																|-The branch is then unsatisfiable
% 43.33/13.59  															|-Branch two:
% 43.33/13.59  															| (296)  ~ (all_0_91_91 = e2)
% 43.33/13.59  															| (1704) all_0_96_96 = e2
% 43.33/13.59  															|
% 43.33/13.59  																| Equations (1704) can reduce 211 to:
% 43.33/13.59  																| (398)  ~ (all_0_83_83 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Equations (1704) can reduce 64 to:
% 43.33/13.59  																| (296)  ~ (all_0_91_91 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Equations (1704) can reduce 279 to:
% 43.33/13.59  																| (355)  ~ (all_0_95_95 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Equations (1704) can reduce 22 to:
% 43.33/13.59  																| (2376)  ~ (all_0_97_97 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Simplifying 2376 yields:
% 43.33/13.59  																| (527)  ~ (all_0_97_97 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Equations (1704) can reduce 43 to:
% 43.33/13.59  																| (1348)  ~ (all_0_98_98 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Simplifying 1348 yields:
% 43.33/13.59  																| (1349)  ~ (all_0_98_98 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Equations (1704) can reduce 115 to:
% 43.33/13.59  																| (528)  ~ (e4 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| Simplifying 528 yields:
% 43.33/13.59  																| (79)  ~ (e4 = e2)
% 43.33/13.59  																|
% 43.33/13.59  																| From (1704) and (212) follows:
% 43.33/13.59  																| (8075) op(e2, e2) = all_0_58_58
% 43.33/13.59  																|
% 43.33/13.59  																| Instantiating formula (262) with e2, e2, all_0_58_58, e4 and discharging atoms op(e2, e2) = all_0_58_58, op(e2, e2) = e4, yields:
% 43.33/13.59  																| (8082) all_0_58_58 = e4
% 43.33/13.59  																|
% 43.33/13.59  																| From (8082) and (8075) follows:
% 43.41/13.59  																| (6) op(e2, e2) = e4
% 43.41/13.59  																|
% 43.41/13.59  																+-Applying beta-rule and splitting (52), into two cases.
% 43.41/13.59  																|-Branch one:
% 43.41/13.59  																| (453) all_0_83_83 = e2
% 43.41/13.59  																|
% 43.41/13.59  																	| Equations (453) can reduce 398 to:
% 43.41/13.59  																	| (311) $false
% 43.41/13.59  																	|
% 43.41/13.59  																	|-The branch is then unsatisfiable
% 43.41/13.59  																|-Branch two:
% 43.41/13.59  																| (398)  ~ (all_0_83_83 = e2)
% 43.41/13.59  																| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 43.41/13.59  																|
% 43.41/13.59  																	+-Applying beta-rule and splitting (127), into two cases.
% 43.41/13.59  																	|-Branch one:
% 43.41/13.59  																	| (457) all_0_79_79 = e1
% 43.41/13.59  																	|
% 43.41/13.59  																		| Equations (457) can reduce 66 to:
% 43.41/13.59  																		| (1601)  ~ (all_0_78_78 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Equations (457) can reduce 63 to:
% 43.41/13.59  																		| (1665)  ~ (all_0_80_80 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Simplifying 1665 yields:
% 43.41/13.59  																		| (828)  ~ (all_0_80_80 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Equations (457) can reduce 272 to:
% 43.41/13.59  																		| (11487)  ~ (all_0_83_83 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Simplifying 11487 yields:
% 43.41/13.59  																		| (113)  ~ (all_0_83_83 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Equations (457) can reduce 17 to:
% 43.41/13.59  																		| (1669)  ~ (all_0_91_91 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| Simplifying 1669 yields:
% 43.41/13.59  																		| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.59  																		|
% 43.41/13.59  																		| From (457) and (184) follows:
% 43.41/13.59  																		| (1679) op(e2, e1) = all_0_52_52
% 43.41/13.59  																		|
% 43.41/13.59  																		| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 43.41/13.59  																		| (10960) all_0_52_52 = e2
% 43.41/13.59  																		|
% 43.41/13.59  																		| From (10960) and (1679) follows:
% 43.41/13.59  																		| (9530) op(e2, e1) = e2
% 43.41/13.59  																		|
% 43.41/13.59  																		+-Applying beta-rule and splitting (219), into two cases.
% 43.41/13.59  																		|-Branch one:
% 43.41/13.59  																		| (798) all_0_83_83 = e0
% 43.41/13.59  																		|
% 43.41/13.59  																			| Equations (798) can reduce 146 to:
% 43.41/13.59  																			| (1830)  ~ (all_0_91_91 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| Simplifying 1830 yields:
% 43.41/13.59  																			| (1487)  ~ (all_0_91_91 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| Equations (798) can reduce 155 to:
% 43.41/13.59  																			| (904)  ~ (e4 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| Simplifying 904 yields:
% 43.41/13.59  																			| (23)  ~ (e4 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| Equations (798) can reduce 113 to:
% 43.41/13.59  																			| (859)  ~ (e1 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| Simplifying 859 yields:
% 43.41/13.59  																			| (264)  ~ (e1 = e0)
% 43.41/13.59  																			|
% 43.41/13.59  																			| From (798) and (206) follows:
% 43.41/13.59  																			| (8092) op(e2, e0) = all_0_54_54
% 43.41/13.59  																			|
% 43.41/13.59  																			+-Applying beta-rule and splitting (284), into two cases.
% 43.41/13.59  																			|-Branch one:
% 43.41/13.59  																			| (1723) all_0_91_91 = e2
% 43.41/13.59  																			|
% 43.41/13.59  																				| Equations (1723) can reduce 296 to:
% 43.41/13.59  																				| (311) $false
% 43.41/13.59  																				|
% 43.41/13.59  																				|-The branch is then unsatisfiable
% 43.41/13.59  																			|-Branch two:
% 43.41/13.59  																			| (296)  ~ (all_0_91_91 = e2)
% 43.41/13.59  																			| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.41/13.59  																			|
% 43.41/13.59  																				+-Applying beta-rule and splitting (1726), into two cases.
% 43.41/13.59  																				|-Branch one:
% 43.41/13.59  																				| (801) all_0_91_91 = e1
% 43.41/13.59  																				|
% 43.41/13.59  																					| Equations (801) can reduce 959 to:
% 43.41/13.59  																					| (311) $false
% 43.41/13.59  																					|
% 43.41/13.59  																					|-The branch is then unsatisfiable
% 43.41/13.59  																				|-Branch two:
% 43.41/13.59  																				| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.59  																				| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.41/13.59  																				|
% 43.41/13.59  																					+-Applying beta-rule and splitting (1880), into two cases.
% 43.41/13.59  																					|-Branch one:
% 43.41/13.59  																					| (588) all_0_91_91 = e3
% 43.41/13.59  																					|
% 43.41/13.59  																						| Equations (588) can reduce 959 to:
% 43.41/13.59  																						| (20)  ~ (e3 = e1)
% 43.41/13.59  																						|
% 43.41/13.59  																						| From (588) and (222) follows:
% 43.41/13.59  																						| (8109) op(e2, e3) = all_0_56_56
% 43.41/13.59  																						|
% 43.41/13.59  																						| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 43.41/13.59  																						| (10959) all_0_56_56 = e0
% 43.41/13.59  																						|
% 43.41/13.59  																						| Instantiating formula (262) with e2, e0, all_0_54_54, e1 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e1, yields:
% 43.41/13.59  																						| (11306) all_0_54_54 = e1
% 43.41/13.59  																						|
% 43.41/13.59  																						+-Applying beta-rule and splitting (33), into two cases.
% 43.41/13.59  																						|-Branch one:
% 43.41/13.59  																						| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.41/13.59  																						|
% 43.41/13.59  																							+-Applying beta-rule and splitting (1686), into two cases.
% 43.41/13.59  																							|-Branch one:
% 43.41/13.59  																							| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.41/13.59  																							|
% 43.41/13.59  																								+-Applying beta-rule and splitting (1687), into two cases.
% 43.41/13.59  																								|-Branch one:
% 43.41/13.59  																								| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.41/13.59  																								|
% 43.41/13.59  																									| Applying alpha-rule on (1688) yields:
% 43.41/13.59  																									| (1689) all_0_52_52 = e4
% 43.41/13.59  																									| (1690)  ~ (all_0_53_53 = e2)
% 43.41/13.59  																									|
% 43.41/13.59  																									| Combining equations (1689,10960) yields a new equation:
% 43.41/13.59  																									| (309) e4 = e2
% 43.41/13.59  																									|
% 43.41/13.59  																									| Simplifying 309 yields:
% 43.41/13.59  																									| (310) e4 = e2
% 43.41/13.59  																									|
% 43.41/13.59  																									| Equations (310) can reduce 79 to:
% 43.41/13.59  																									| (311) $false
% 43.41/13.59  																									|
% 43.41/13.59  																									|-The branch is then unsatisfiable
% 43.41/13.59  																								|-Branch two:
% 43.41/13.59  																								| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.41/13.59  																								|
% 43.41/13.59  																									| Applying alpha-rule on (1694) yields:
% 43.41/13.59  																									| (1695) all_0_54_54 = e3
% 43.41/13.59  																									| (1696)  ~ (all_0_55_55 = e2)
% 43.41/13.59  																									|
% 43.41/13.59  																									| Combining equations (1695,11306) yields a new equation:
% 43.41/13.59  																									| (825) e3 = e1
% 43.41/13.59  																									|
% 43.41/13.59  																									| Simplifying 825 yields:
% 43.41/13.59  																									| (772) e3 = e1
% 43.41/13.59  																									|
% 43.41/13.59  																									| Equations (772) can reduce 20 to:
% 43.41/13.59  																									| (311) $false
% 43.41/13.59  																									|
% 43.41/13.59  																									|-The branch is then unsatisfiable
% 43.41/13.59  																							|-Branch two:
% 43.41/13.59  																							| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.41/13.59  																							|
% 43.41/13.59  																								| Applying alpha-rule on (1700) yields:
% 43.41/13.59  																								| (1701) all_0_56_56 = e1
% 43.41/13.59  																								| (1702)  ~ (all_0_57_57 = e2)
% 43.41/13.59  																								|
% 43.41/13.59  																								| Combining equations (10959,1701) yields a new equation:
% 43.41/13.59  																								| (865) e1 = e0
% 43.41/13.59  																								|
% 43.41/13.59  																								| Equations (865) can reduce 264 to:
% 43.41/13.59  																								| (311) $false
% 43.41/13.59  																								|
% 43.41/13.59  																								|-The branch is then unsatisfiable
% 43.41/13.59  																						|-Branch two:
% 43.41/13.59  																						| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.41/13.59  																						|
% 43.41/13.59  																							| Applying alpha-rule on (4957) yields:
% 43.41/13.60  																							| (4958) all_0_58_58 = e0
% 43.41/13.60  																							| (4959)  ~ (all_0_59_59 = e2)
% 43.41/13.60  																							|
% 43.41/13.60  																							| Combining equations (4958,8082) yields a new equation:
% 43.41/13.60  																							| (912) e4 = e0
% 43.41/13.60  																							|
% 43.41/13.60  																							| Equations (912) can reduce 23 to:
% 43.41/13.60  																							| (311) $false
% 43.41/13.60  																							|
% 43.41/13.60  																							|-The branch is then unsatisfiable
% 43.41/13.60  																					|-Branch two:
% 43.41/13.60  																					| (571)  ~ (all_0_91_91 = e3)
% 43.41/13.60  																					| (1456) all_0_91_91 = e0
% 43.41/13.60  																					|
% 43.41/13.60  																						| Equations (1456) can reduce 1487 to:
% 43.41/13.60  																						| (311) $false
% 43.41/13.60  																						|
% 43.41/13.60  																						|-The branch is then unsatisfiable
% 43.41/13.60  																		|-Branch two:
% 43.41/13.60  																		| (1314)  ~ (all_0_83_83 = e0)
% 43.41/13.60  																		| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.41/13.60  																		|
% 43.41/13.60  																			+-Applying beta-rule and splitting (1400), into two cases.
% 43.41/13.60  																			|-Branch one:
% 43.41/13.60  																			| (1456) all_0_91_91 = e0
% 43.41/13.60  																			|
% 43.41/13.60  																				| Combining equations (1456,9535) yields a new equation:
% 43.41/13.60  																				| (5547) all_0_64_64 = e0
% 43.41/13.60  																				|
% 43.41/13.60  																				| Equations (1456) can reduce 146 to:
% 43.41/13.60  																				| (1314)  ~ (all_0_83_83 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Equations (1456) can reduce 265 to:
% 43.41/13.60  																				| (2299)  ~ (all_0_92_92 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Simplifying 2299 yields:
% 43.41/13.60  																				| (946)  ~ (all_0_92_92 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Equations (1456) can reduce 44 to:
% 43.41/13.60  																				| (508)  ~ (all_0_93_93 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Simplifying 508 yields:
% 43.41/13.60  																				| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Equations (1456) can reduce 296 to:
% 43.41/13.60  																				| (510)  ~ (e2 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Simplifying 510 yields:
% 43.41/13.60  																				| (76)  ~ (e2 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Equations (1456) can reduce 959 to:
% 43.41/13.60  																				| (859)  ~ (e1 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| Simplifying 859 yields:
% 43.41/13.60  																				| (264)  ~ (e1 = e0)
% 43.41/13.60  																				|
% 43.41/13.60  																				| From (1456) and (51) follows:
% 43.41/13.60  																				| (3461) op(e1, e0) = all_0_57_57
% 43.41/13.60  																				|
% 43.41/13.60  																				+-Applying beta-rule and splitting (456), into two cases.
% 43.41/13.60  																				|-Branch one:
% 43.41/13.60  																				| (795) all_0_83_83 = e3
% 43.41/13.60  																				|
% 43.41/13.60  																					| Equations (795) can reduce 223 to:
% 43.41/13.60  																					| (421)  ~ (all_0_84_84 = e3)
% 43.41/13.60  																					|
% 43.41/13.60  																					| Simplifying 421 yields:
% 43.41/13.60  																					| (422)  ~ (all_0_84_84 = e3)
% 43.41/13.60  																					|
% 43.41/13.60  																					| Equations (795) can reduce 226 to:
% 43.41/13.60  																					| (2358)  ~ (all_0_85_85 = e3)
% 43.41/13.60  																					|
% 43.41/13.60  																					| Simplifying 2358 yields:
% 43.41/13.60  																					| (952)  ~ (all_0_85_85 = e3)
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (795) and (163) follows:
% 43.41/13.60  																					| (12239) op(e3, e3) = all_0_55_55
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (795) and (174) follows:
% 43.41/13.60  																					| (12240) op(e3, e2) = e3
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (795) and (206) follows:
% 43.41/13.60  																					| (8280) op(e2, e3) = all_0_54_54
% 43.41/13.60  																					|
% 43.41/13.60  																					| Instantiating formula (262) with e3, e3, all_0_55_55, e2 and discharging atoms op(e3, e3) = all_0_55_55, op(e3, e3) = e2, yields:
% 43.41/13.60  																					| (12242) all_0_55_55 = e2
% 43.41/13.60  																					|
% 43.41/13.60  																					| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 43.41/13.60  																					| (12243) all_0_54_54 = e0
% 43.41/13.60  																					|
% 43.41/13.60  																					| Instantiating formula (262) with e1, e0, all_0_57_57, all_0_93_93 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_93_93, yields:
% 43.41/13.60  																					| (8284) all_0_57_57 = all_0_93_93
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (12242) and (12239) follows:
% 43.41/13.60  																					| (12132) op(e3, e3) = e2
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (12243) and (8280) follows:
% 43.41/13.60  																					| (5343) op(e2, e3) = e0
% 43.41/13.60  																					|
% 43.41/13.60  																					| From (8284) and (3461) follows:
% 43.41/13.60  																					| (231) op(e1, e0) = all_0_93_93
% 43.41/13.60  																					|
% 43.41/13.60  																					+-Applying beta-rule and splitting (56), into two cases.
% 43.41/13.60  																					|-Branch one:
% 43.41/13.60  																					| (463) all_0_78_78 = e4
% 43.41/13.60  																					|
% 43.41/13.60  																						| Equations (463) can reduce 67 to:
% 43.41/13.60  																						| (1728)  ~ (all_0_80_80 = e4)
% 43.41/13.60  																						|
% 43.41/13.60  																						| Simplifying 1728 yields:
% 43.41/13.60  																						| (436)  ~ (all_0_80_80 = e4)
% 43.41/13.60  																						|
% 43.41/13.60  																						| Equations (463) can reduce 85 to:
% 43.41/13.60  																						| (466)  ~ (all_0_90_90 = e4)
% 43.41/13.60  																						|
% 43.41/13.60  																						| Simplifying 466 yields:
% 43.41/13.60  																						| (467)  ~ (all_0_90_90 = e4)
% 43.41/13.60  																						|
% 43.41/13.60  																						| Equations (463) can reduce 346 to:
% 43.41/13.60  																						| (79)  ~ (e4 = e2)
% 43.41/13.60  																						|
% 43.41/13.60  																						| Equations (463) can reduce 1601 to:
% 43.41/13.60  																						| (256)  ~ (e4 = e1)
% 43.41/13.60  																						|
% 43.41/13.60  																						| From (463) and (138) follows:
% 43.41/13.60  																						| (12255) op(e3, e4) = all_0_43_43
% 43.41/13.60  																						|
% 43.41/13.60  																						+-Applying beta-rule and splitting (45), into two cases.
% 43.41/13.60  																						|-Branch one:
% 43.41/13.60  																						| (546) all_0_80_80 = e2
% 43.41/13.60  																						|
% 43.41/13.60  																							| Equations (546) can reduce 394 to:
% 43.41/13.60  																							| (311) $false
% 43.41/13.60  																							|
% 43.41/13.60  																							|-The branch is then unsatisfiable
% 43.41/13.60  																						|-Branch two:
% 43.41/13.60  																						| (394)  ~ (all_0_80_80 = e2)
% 43.41/13.60  																						| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.41/13.60  																						|
% 43.41/13.60  																							+-Applying beta-rule and splitting (3232), into two cases.
% 43.41/13.60  																							|-Branch one:
% 43.41/13.60  																							| (824) all_0_80_80 = e1
% 43.41/13.60  																							|
% 43.41/13.60  																								| Equations (824) can reduce 828 to:
% 43.41/13.60  																								| (311) $false
% 43.41/13.60  																								|
% 43.41/13.60  																								|-The branch is then unsatisfiable
% 43.41/13.60  																							|-Branch two:
% 43.41/13.60  																							| (828)  ~ (all_0_80_80 = e1)
% 43.41/13.60  																							| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.41/13.60  																							|
% 43.41/13.60  																								+-Applying beta-rule and splitting (4018), into two cases.
% 43.41/13.60  																								|-Branch one:
% 43.41/13.60  																								| (416) all_0_80_80 = e3
% 43.41/13.60  																								|
% 43.41/13.60  																									| Equations (416) can reduce 273 to:
% 43.41/13.60  																									| (421)  ~ (all_0_84_84 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Simplifying 421 yields:
% 43.41/13.60  																									| (422)  ~ (all_0_84_84 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Equations (416) can reduce 49 to:
% 43.41/13.60  																									| (425)  ~ (all_0_92_92 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Simplifying 425 yields:
% 43.41/13.60  																									| (426)  ~ (all_0_92_92 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Equations (416) can reduce 202 to:
% 43.41/13.60  																									| (427)  ~ (all_0_97_97 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Simplifying 427 yields:
% 43.41/13.60  																									| (428)  ~ (all_0_97_97 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Equations (416) can reduce 436 to:
% 43.41/13.60  																									| (783)  ~ (e4 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Simplifying 783 yields:
% 43.41/13.60  																									| (177)  ~ (e4 = e3)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Equations (416) can reduce 394 to:
% 43.41/13.60  																									| (169)  ~ (e3 = e2)
% 43.41/13.60  																									|
% 43.41/13.60  																									| Equations (416) can reduce 828 to:
% 43.41/13.60  																									| (20)  ~ (e3 = e1)
% 43.41/13.60  																									|
% 43.41/13.60  																									| From (416) and (233) follows:
% 43.41/13.60  																									| (432) op(e1, e3) = all_0_60_60
% 43.41/13.60  																									|
% 43.41/13.60  																									| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 43.41/13.60  																									| (12276) all_0_43_43 = e1
% 43.41/13.60  																									|
% 43.41/13.60  																									| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 43.41/13.60  																									| (451) all_0_60_60 = all_0_90_90
% 43.41/13.60  																									|
% 43.41/13.60  																									+-Applying beta-rule and splitting (109), into two cases.
% 43.41/13.60  																									|-Branch one:
% 43.41/13.60  																									| (469) all_0_82_82 = e4
% 43.41/13.60  																									|
% 43.41/13.60  																										| Combining equations (530,469) yields a new equation:
% 43.41/13.60  																										| (310) e4 = e2
% 43.41/13.60  																										|
% 43.41/13.60  																										| Equations (310) can reduce 79 to:
% 43.41/13.60  																										| (311) $false
% 43.41/13.60  																										|
% 43.41/13.60  																										|-The branch is then unsatisfiable
% 43.41/13.60  																									|-Branch two:
% 43.41/13.60  																									| (465)  ~ (all_0_82_82 = e4)
% 43.41/13.60  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.41/13.60  																									|
% 43.41/13.60  																										| Equations (530) can reduce 465 to:
% 43.41/13.60  																										| (528)  ~ (e4 = e2)
% 43.41/13.60  																										|
% 43.41/13.60  																										| Simplifying 528 yields:
% 43.41/13.60  																										| (79)  ~ (e4 = e2)
% 43.41/13.60  																										|
% 43.41/13.60  																										+-Applying beta-rule and splitting (188), into two cases.
% 43.41/13.60  																										|-Branch one:
% 43.41/13.60  																										| (676) all_0_78_78 = e1
% 43.41/13.60  																										|
% 43.41/13.60  																											| Combining equations (463,676) yields a new equation:
% 43.41/13.60  																											| (813) e4 = e1
% 43.41/13.60  																											|
% 43.41/13.60  																											| Simplifying 813 yields:
% 43.41/13.60  																											| (814) e4 = e1
% 43.41/13.60  																											|
% 43.41/13.60  																											| Equations (814) can reduce 256 to:
% 43.41/13.60  																											| (311) $false
% 43.41/13.60  																											|
% 43.41/13.60  																											|-The branch is then unsatisfiable
% 43.41/13.60  																										|-Branch two:
% 43.41/13.60  																										| (1601)  ~ (all_0_78_78 = e1)
% 43.41/13.60  																										| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.60  																										|
% 43.41/13.60  																											| Equations (463) can reduce 1601 to:
% 43.41/13.60  																											| (256)  ~ (e4 = e1)
% 43.41/13.60  																											|
% 43.41/13.60  																											+-Applying beta-rule and splitting (186), into two cases.
% 43.41/13.60  																											|-Branch one:
% 43.41/13.60  																											| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.41/13.61  																											|
% 43.41/13.61  																												+-Applying beta-rule and splitting (726), into two cases.
% 43.41/13.61  																												|-Branch one:
% 43.41/13.61  																												| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.41/13.61  																												|
% 43.41/13.61  																													+-Applying beta-rule and splitting (727), into two cases.
% 43.41/13.61  																													|-Branch one:
% 43.41/13.61  																													| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.41/13.61  																													|
% 43.41/13.61  																														| Applying alpha-rule on (728) yields:
% 43.41/13.61  																														| (729) all_0_43_43 = e4
% 43.41/13.61  																														| (730)  ~ (all_0_44_44 = e3)
% 43.41/13.61  																														|
% 43.41/13.61  																														| Combining equations (729,12276) yields a new equation:
% 43.41/13.61  																														| (813) e4 = e1
% 43.41/13.61  																														|
% 43.41/13.61  																														| Simplifying 813 yields:
% 43.41/13.61  																														| (814) e4 = e1
% 43.41/13.61  																														|
% 43.41/13.61  																														| Equations (814) can reduce 256 to:
% 43.41/13.61  																														| (311) $false
% 43.41/13.61  																														|
% 43.41/13.61  																														|-The branch is then unsatisfiable
% 43.41/13.61  																													|-Branch two:
% 43.41/13.61  																													| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.41/13.61  																													|
% 43.41/13.61  																														| Applying alpha-rule on (734) yields:
% 43.41/13.61  																														| (735) all_0_46_46 = e2
% 43.41/13.61  																														| (736)  ~ (all_0_47_47 = e3)
% 43.41/13.61  																														|
% 43.41/13.61  																														| Combining equations (735,9576) yields a new equation:
% 43.41/13.61  																														| (512) all_0_85_85 = e2
% 43.41/13.61  																														|
% 43.41/13.61  																														| Equations (512) can reduce 515 to:
% 43.41/13.61  																														| (311) $false
% 43.41/13.61  																														|
% 43.41/13.61  																														|-The branch is then unsatisfiable
% 43.41/13.61  																												|-Branch two:
% 43.41/13.61  																												| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.41/13.61  																												|
% 43.41/13.61  																													| Applying alpha-rule on (740) yields:
% 43.41/13.61  																													| (741) all_0_48_48 = e1
% 43.41/13.61  																													| (742)  ~ (all_0_49_49 = e3)
% 43.41/13.61  																													|
% 43.41/13.61  																													| From (741) and (217) follows:
% 43.41/13.61  																													| (743) op(e3, all_0_90_90) = e1
% 43.41/13.61  																													|
% 43.41/13.61  																													+-Applying beta-rule and splitting (132), into two cases.
% 43.41/13.61  																													|-Branch one:
% 43.41/13.61  																													| (750) all_0_90_90 = e1
% 43.41/13.61  																													|
% 43.41/13.61  																														| Equations (750) can reduce 229 to:
% 43.41/13.61  																														| (679)  ~ (all_0_95_95 = e1)
% 43.41/13.61  																														|
% 43.41/13.61  																														| Simplifying 679 yields:
% 43.41/13.61  																														| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.61  																														|
% 43.41/13.61  																														| Equations (750) can reduce 294 to:
% 43.41/13.61  																														| (487)  ~ (e2 = e1)
% 43.41/13.61  																														|
% 43.41/13.61  																														| Simplifying 487 yields:
% 43.41/13.61  																														| (243)  ~ (e2 = e1)
% 43.41/13.61  																														|
% 43.41/13.61  																														| From (750) and (743) follows:
% 43.41/13.61  																														| (12314) op(e3, e1) = e1
% 43.41/13.61  																														|
% 43.41/13.61  																														+-Applying beta-rule and splitting (282), into two cases.
% 43.41/13.61  																														|-Branch one:
% 43.41/13.61  																														| (754) all_0_90_90 = e3
% 43.41/13.61  																														|
% 43.41/13.61  																															| Combining equations (750,754) yields a new equation:
% 43.41/13.61  																															| (772) e3 = e1
% 43.41/13.61  																															|
% 43.41/13.61  																															| Equations (772) can reduce 20 to:
% 43.41/13.61  																															| (311) $false
% 43.41/13.61  																															|
% 43.41/13.61  																															|-The branch is then unsatisfiable
% 43.41/13.61  																														|-Branch two:
% 43.41/13.61  																														| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.61  																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.41/13.61  																														|
% 43.41/13.61  																															| Equations (750) can reduce 745 to:
% 43.41/13.61  																															| (683)  ~ (e3 = e1)
% 43.41/13.61  																															|
% 43.41/13.61  																															| Simplifying 683 yields:
% 43.41/13.61  																															| (20)  ~ (e3 = e1)
% 43.41/13.61  																															|
% 43.41/13.61  																															+-Applying beta-rule and splitting (176), into two cases.
% 43.41/13.61  																															|-Branch one:
% 43.41/13.61  																															| (785) all_0_95_95 = e1
% 43.41/13.61  																															|
% 43.41/13.61  																																| Equations (785) can reduce 680 to:
% 43.41/13.61  																																| (311) $false
% 43.41/13.61  																																|
% 43.41/13.61  																																|-The branch is then unsatisfiable
% 43.41/13.61  																															|-Branch two:
% 43.41/13.61  																															| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.61  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.61  																															|
% 43.41/13.61  																																+-Applying beta-rule and splitting (151), into two cases.
% 43.41/13.61  																																|-Branch one:
% 43.41/13.61  																																| (824) all_0_80_80 = e1
% 43.41/13.61  																																|
% 43.41/13.61  																																	| Combining equations (416,824) yields a new equation:
% 43.41/13.61  																																	| (825) e3 = e1
% 43.41/13.61  																																	|
% 43.41/13.61  																																	| Simplifying 825 yields:
% 43.41/13.61  																																	| (772) e3 = e1
% 43.41/13.61  																																	|
% 43.41/13.61  																																	| Equations (772) can reduce 20 to:
% 43.41/13.61  																																	| (311) $false
% 43.41/13.61  																																	|
% 43.41/13.61  																																	|-The branch is then unsatisfiable
% 43.41/13.61  																																|-Branch two:
% 43.41/13.61  																																| (828)  ~ (all_0_80_80 = e1)
% 43.41/13.61  																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.61  																																|
% 43.41/13.61  																																	| Equations (416) can reduce 828 to:
% 43.41/13.61  																																	| (20)  ~ (e3 = e1)
% 43.41/13.61  																																	|
% 43.41/13.61  																																	+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.61  																																	|-Branch one:
% 43.41/13.61  																																	| (771) all_0_78_78 = e3
% 43.41/13.61  																																	|
% 43.41/13.61  																																		| Combining equations (463,771) yields a new equation:
% 43.41/13.61  																																		| (790) e4 = e3
% 43.41/13.61  																																		|
% 43.41/13.61  																																		| Simplifying 790 yields:
% 43.41/13.61  																																		| (434) e4 = e3
% 43.41/13.61  																																		|
% 43.41/13.61  																																		| Equations (434) can reduce 177 to:
% 43.41/13.61  																																		| (311) $false
% 43.41/13.61  																																		|
% 43.41/13.61  																																		|-The branch is then unsatisfiable
% 43.41/13.61  																																	|-Branch two:
% 43.41/13.61  																																	| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.61  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.61  																																	|
% 43.41/13.61  																																		+-Applying beta-rule and splitting (99), into two cases.
% 43.41/13.61  																																		|-Branch one:
% 43.41/13.61  																																		| (767) all_0_95_95 = e2
% 43.41/13.61  																																		|
% 43.41/13.61  																																			| Equations (767) can reduce 355 to:
% 43.41/13.61  																																			| (311) $false
% 43.41/13.61  																																			|
% 43.41/13.61  																																			|-The branch is then unsatisfiable
% 43.41/13.61  																																		|-Branch two:
% 43.41/13.61  																																		| (355)  ~ (all_0_95_95 = e2)
% 43.41/13.61  																																		| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.41/13.61  																																		|
% 43.41/13.61  																																			+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.61  																																			|-Branch one:
% 43.41/13.61  																																			| (789) all_0_82_82 = e3
% 43.41/13.61  																																			|
% 43.41/13.61  																																				| Combining equations (530,789) yields a new equation:
% 43.41/13.61  																																				| (548) e3 = e2
% 43.41/13.61  																																				|
% 43.41/13.61  																																				| Equations (548) can reduce 169 to:
% 43.41/13.61  																																				| (311) $false
% 43.41/13.61  																																				|
% 43.41/13.61  																																				|-The branch is then unsatisfiable
% 43.41/13.61  																																			|-Branch two:
% 43.41/13.61  																																			| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.61  																																			| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.61  																																			|
% 43.41/13.61  																																				+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.61  																																				|-Branch one:
% 43.41/13.61  																																				| (754) all_0_90_90 = e3
% 43.41/13.61  																																				|
% 43.41/13.61  																																					| Combining equations (750,754) yields a new equation:
% 43.41/13.61  																																					| (772) e3 = e1
% 43.41/13.61  																																					|
% 43.41/13.61  																																					| Equations (772) can reduce 20 to:
% 43.41/13.61  																																					| (311) $false
% 43.41/13.61  																																					|
% 43.41/13.61  																																					|-The branch is then unsatisfiable
% 43.41/13.61  																																				|-Branch two:
% 43.41/13.61  																																				| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.61  																																				| (744) all_0_95_95 = e3
% 43.41/13.61  																																				|
% 43.41/13.61  																																					| Equations (744) can reduce 107 to:
% 43.41/13.61  																																					| (1518)  ~ (all_0_98_98 = e3)
% 43.41/13.61  																																					|
% 43.41/13.61  																																					| Simplifying 1518 yields:
% 43.41/13.61  																																					| (1519)  ~ (all_0_98_98 = e3)
% 43.41/13.61  																																					|
% 43.41/13.61  																																					| Equations (744) can reduce 355 to:
% 43.41/13.61  																																					| (169)  ~ (e3 = e2)
% 43.41/13.61  																																					|
% 43.41/13.61  																																					+-Applying beta-rule and splitting (250), into two cases.
% 43.41/13.61  																																					|-Branch one:
% 43.41/13.61  																																					| (635) all_0_81_81 = e3
% 43.41/13.61  																																					|
% 43.41/13.61  																																						| Combining equations (473,635) yields a new equation:
% 43.41/13.61  																																						| (548) e3 = e2
% 43.41/13.61  																																						|
% 43.41/13.61  																																						| Equations (548) can reduce 169 to:
% 43.41/13.61  																																						| (311) $false
% 43.41/13.61  																																						|
% 43.41/13.61  																																						|-The branch is then unsatisfiable
% 43.41/13.61  																																					|-Branch two:
% 43.41/13.61  																																					| (420)  ~ (all_0_81_81 = e3)
% 43.41/13.61  																																					| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.61  																																					|
% 43.41/13.61  																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.41/13.61  																																						|-Branch one:
% 43.41/13.61  																																						| (804) all_0_85_85 = e3
% 43.41/13.61  																																						|
% 43.41/13.61  																																							| Equations (804) can reduce 952 to:
% 43.41/13.61  																																							| (311) $false
% 43.41/13.61  																																							|
% 43.41/13.61  																																							|-The branch is then unsatisfiable
% 43.41/13.61  																																						|-Branch two:
% 43.41/13.61  																																						| (952)  ~ (all_0_85_85 = e3)
% 43.41/13.61  																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.61  																																						|
% 43.41/13.61  																																							+-Applying beta-rule and splitting (829), into two cases.
% 43.41/13.61  																																							|-Branch one:
% 43.41/13.61  																																							| (482) all_0_87_87 = e1
% 43.41/13.61  																																							|
% 43.41/13.61  																																								| Combining equations (374,482) yields a new equation:
% 43.41/13.61  																																								| (408) e2 = e1
% 43.41/13.61  																																								|
% 43.41/13.61  																																								| Simplifying 408 yields:
% 43.41/13.61  																																								| (385) e2 = e1
% 43.41/13.61  																																								|
% 43.41/13.61  																																								| Equations (385) can reduce 243 to:
% 43.41/13.61  																																								| (311) $false
% 43.41/13.61  																																								|
% 43.41/13.61  																																								|-The branch is then unsatisfiable
% 43.41/13.61  																																							|-Branch two:
% 43.41/13.61  																																							| (625)  ~ (all_0_87_87 = e1)
% 43.41/13.61  																																							| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.61  																																							|
% 43.41/13.61  																																								| Equations (374) can reduce 625 to:
% 43.41/13.61  																																								| (243)  ~ (e2 = e1)
% 43.41/13.61  																																								|
% 43.41/13.61  																																								+-Applying beta-rule and splitting (788), into two cases.
% 43.41/13.61  																																								|-Branch one:
% 43.41/13.61  																																								| (960) all_0_96_96 = e1
% 43.41/13.61  																																								|
% 43.41/13.61  																																									| Combining equations (960,1704) yields a new equation:
% 43.41/13.61  																																									| (385) e2 = e1
% 43.41/13.61  																																									|
% 43.41/13.61  																																									| Equations (385) can reduce 243 to:
% 43.41/13.61  																																									| (311) $false
% 43.41/13.61  																																									|
% 43.41/13.61  																																									|-The branch is then unsatisfiable
% 43.41/13.61  																																								|-Branch two:
% 43.41/13.61  																																								| (1479)  ~ (all_0_96_96 = e1)
% 43.41/13.61  																																								| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.61  																																								|
% 43.41/13.61  																																									+-Applying beta-rule and splitting (4559), into two cases.
% 43.41/13.61  																																									|-Branch one:
% 43.41/13.61  																																									| (570) all_0_93_93 = e3
% 43.41/13.61  																																									|
% 43.41/13.61  																																										| Equations (570) can reduce 509 to:
% 43.41/13.61  																																										| (50)  ~ (e3 = e0)
% 43.41/13.61  																																										|
% 43.41/13.61  																																										+-Applying beta-rule and splitting (2126), into two cases.
% 43.41/13.61  																																										|-Branch one:
% 43.41/13.61  																																										| (542) all_0_97_97 = e1
% 43.41/13.61  																																										|
% 43.41/13.61  																																											| Equations (542) can reduce 195 to:
% 43.41/13.61  																																											| (259)  ~ (all_0_84_84 = e1)
% 43.41/13.61  																																											|
% 43.41/13.61  																																											| Equations (542) can reduce 148 to:
% 43.41/13.61  																																											| (1803)  ~ (all_0_98_98 = e1)
% 43.41/13.61  																																											|
% 43.41/13.61  																																											| Simplifying 1803 yields:
% 43.41/13.61  																																											| (1804)  ~ (all_0_98_98 = e1)
% 43.41/13.61  																																											|
% 43.41/13.61  																																											+-Applying beta-rule and splitting (102), into two cases.
% 43.41/13.61  																																											|-Branch one:
% 43.41/13.61  																																											| (858) all_0_95_95 = e0
% 43.41/13.61  																																											|
% 43.41/13.61  																																												| Combining equations (858,744) yields a new equation:
% 43.41/13.61  																																												| (600) e3 = e0
% 43.41/13.61  																																												|
% 43.41/13.61  																																												| Equations (600) can reduce 50 to:
% 43.41/13.61  																																												| (311) $false
% 43.41/13.61  																																												|
% 43.41/13.61  																																												|-The branch is then unsatisfiable
% 43.41/13.61  																																											|-Branch two:
% 43.41/13.61  																																											| (893)  ~ (all_0_95_95 = e0)
% 43.41/13.61  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.41/13.61  																																											|
% 43.41/13.61  																																												| Equations (744) can reduce 893 to:
% 43.41/13.61  																																												| (50)  ~ (e3 = e0)
% 43.41/13.61  																																												|
% 43.41/13.61  																																												+-Applying beta-rule and splitting (2), into two cases.
% 43.41/13.61  																																												|-Branch one:
% 43.41/13.61  																																												| (916) all_0_84_84 = e0
% 43.41/13.61  																																												|
% 43.41/13.61  																																													| Equations (916) can reduce 154 to:
% 43.41/13.61  																																													| (799)  ~ (all_0_85_85 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| Simplifying 799 yields:
% 43.41/13.61  																																													| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| Equations (916) can reduce 422 to:
% 43.41/13.61  																																													| (906)  ~ (e3 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| Simplifying 906 yields:
% 43.41/13.61  																																													| (50)  ~ (e3 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| Equations (916) can reduce 259 to:
% 43.41/13.61  																																													| (859)  ~ (e1 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| Simplifying 859 yields:
% 43.41/13.61  																																													| (264)  ~ (e1 = e0)
% 43.41/13.61  																																													|
% 43.41/13.61  																																													| From (916) and (232) follows:
% 43.41/13.61  																																													| (12396) op(e3, e1) = e0
% 43.41/13.61  																																													|
% 43.41/13.61  																																													+-Applying beta-rule and splitting (289), into two cases.
% 43.41/13.61  																																													|-Branch one:
% 43.41/13.61  																																													| (954) all_0_85_85 = e0
% 43.41/13.61  																																													|
% 43.41/13.61  																																														| Equations (954) can reduce 800 to:
% 43.41/13.61  																																														| (311) $false
% 43.41/13.61  																																														|
% 43.41/13.61  																																														|-The branch is then unsatisfiable
% 43.41/13.61  																																													|-Branch two:
% 43.41/13.61  																																													| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.61  																																													| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.61  																																													|
% 43.41/13.61  																																														+-Applying beta-rule and splitting (1077), into two cases.
% 43.41/13.61  																																														|-Branch one:
% 43.41/13.61  																																														| (507) all_0_88_88 = e0
% 43.41/13.61  																																														|
% 43.41/13.61  																																															| Combining equations (504,507) yields a new equation:
% 43.41/13.61  																																															| (1107) e1 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																															| Simplifying 1107 yields:
% 43.41/13.61  																																															| (865) e1 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																															| Equations (865) can reduce 264 to:
% 43.41/13.61  																																															| (311) $false
% 43.41/13.61  																																															|
% 43.41/13.61  																																															|-The branch is then unsatisfiable
% 43.41/13.61  																																														|-Branch two:
% 43.41/13.61  																																														| (1110)  ~ (all_0_88_88 = e0)
% 43.41/13.61  																																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.61  																																														|
% 43.41/13.61  																																															+-Applying beta-rule and splitting (1111), into two cases.
% 43.41/13.61  																																															|-Branch one:
% 43.41/13.61  																																															| (604) all_0_93_93 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																																| Combining equations (604,570) yields a new equation:
% 43.41/13.61  																																																| (600) e3 = e0
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Equations (600) can reduce 50 to:
% 43.41/13.61  																																																| (311) $false
% 43.41/13.61  																																																|
% 43.41/13.61  																																																|-The branch is then unsatisfiable
% 43.41/13.61  																																															|-Branch two:
% 43.41/13.61  																																															| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.61  																																															| (1121) all_0_98_98 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																																| Equations (1121) can reduce 1804 to:
% 43.41/13.61  																																																| (859)  ~ (e1 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Simplifying 859 yields:
% 43.41/13.61  																																																| (264)  ~ (e1 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Instantiating formula (262) with e3, e1, e0, e1 and discharging atoms op(e3, e1) = e1, op(e3, e1) = e0, yields:
% 43.41/13.61  																																																| (865) e1 = e0
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Equations (865) can reduce 264 to:
% 43.41/13.61  																																																| (311) $false
% 43.41/13.61  																																																|
% 43.41/13.61  																																																|-The branch is then unsatisfiable
% 43.41/13.61  																																												|-Branch two:
% 43.41/13.61  																																												| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.61  																																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.61  																																												|
% 43.41/13.61  																																													+-Applying beta-rule and splitting (249), into two cases.
% 43.41/13.61  																																													|-Branch one:
% 43.41/13.61  																																													| (910) all_0_82_82 = e0
% 43.41/13.61  																																													|
% 43.41/13.61  																																														| Combining equations (910,530) yields a new equation:
% 43.41/13.61  																																														| (379) e2 = e0
% 43.41/13.61  																																														|
% 43.41/13.61  																																														| Equations (379) can reduce 76 to:
% 43.41/13.61  																																														| (311) $false
% 43.41/13.61  																																														|
% 43.41/13.61  																																														|-The branch is then unsatisfiable
% 43.41/13.61  																																													|-Branch two:
% 43.41/13.61  																																													| (914)  ~ (all_0_82_82 = e0)
% 43.41/13.61  																																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.61  																																													|
% 43.41/13.61  																																														+-Applying beta-rule and splitting (1309), into two cases.
% 43.41/13.61  																																														|-Branch one:
% 43.41/13.61  																																														| (798) all_0_83_83 = e0
% 43.41/13.61  																																														|
% 43.41/13.61  																																															| Combining equations (798,795) yields a new equation:
% 43.41/13.61  																																															| (600) e3 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																															| Equations (600) can reduce 50 to:
% 43.41/13.61  																																															| (311) $false
% 43.41/13.61  																																															|
% 43.41/13.61  																																															|-The branch is then unsatisfiable
% 43.41/13.61  																																														|-Branch two:
% 43.41/13.61  																																														| (1314)  ~ (all_0_83_83 = e0)
% 43.41/13.61  																																														| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.61  																																														|
% 43.41/13.61  																																															+-Applying beta-rule and splitting (1315), into two cases.
% 43.41/13.61  																																															|-Branch one:
% 43.41/13.61  																																															| (916) all_0_84_84 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																																| Equations (916) can reduce 919 to:
% 43.41/13.61  																																																| (311) $false
% 43.41/13.61  																																																|
% 43.41/13.61  																																																|-The branch is then unsatisfiable
% 43.41/13.61  																																															|-Branch two:
% 43.41/13.61  																																															| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.61  																																															| (954) all_0_85_85 = e0
% 43.41/13.61  																																															|
% 43.41/13.61  																																																| Equations (954) can reduce 515 to:
% 43.41/13.61  																																																| (510)  ~ (e2 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Simplifying 510 yields:
% 43.41/13.61  																																																| (76)  ~ (e2 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Equations (954) can reduce 128 to:
% 43.41/13.61  																																																| (859)  ~ (e1 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																| Simplifying 859 yields:
% 43.41/13.61  																																																| (264)  ~ (e1 = e0)
% 43.41/13.61  																																																|
% 43.41/13.61  																																																+-Applying beta-rule and splitting (920), into two cases.
% 43.41/13.61  																																																|-Branch one:
% 43.41/13.61  																																																| (861) all_0_87_87 = e0
% 43.41/13.61  																																																|
% 43.41/13.61  																																																	| Combining equations (374,861) yields a new equation:
% 43.41/13.61  																																																	| (923) e2 = e0
% 43.41/13.61  																																																	|
% 43.41/13.61  																																																	| Simplifying 923 yields:
% 43.41/13.61  																																																	| (379) e2 = e0
% 43.41/13.61  																																																	|
% 43.41/13.61  																																																	| Equations (379) can reduce 76 to:
% 43.41/13.61  																																																	| (311) $false
% 43.41/13.61  																																																	|
% 43.41/13.61  																																																	|-The branch is then unsatisfiable
% 43.41/13.61  																																																|-Branch two:
% 43.41/13.61  																																																| (889)  ~ (all_0_87_87 = e0)
% 43.41/13.61  																																																| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.61  																																																|
% 43.41/13.61  																																																	+-Applying beta-rule and splitting (931), into two cases.
% 43.41/13.61  																																																	|-Branch one:
% 43.41/13.61  																																																	| (942) all_0_92_92 = e0
% 43.41/13.61  																																																	|
% 43.41/13.61  																																																		| Equations (942) can reduce 946 to:
% 43.41/13.61  																																																		| (311) $false
% 43.41/13.61  																																																		|
% 43.41/13.61  																																																		|-The branch is then unsatisfiable
% 43.41/13.61  																																																	|-Branch two:
% 43.41/13.61  																																																	| (946)  ~ (all_0_92_92 = e0)
% 43.41/13.61  																																																	| (560) all_0_97_97 = e0
% 43.41/13.61  																																																	|
% 43.41/13.61  																																																		| Combining equations (542,560) yields a new equation:
% 43.41/13.61  																																																		| (1107) e1 = e0
% 43.41/13.61  																																																		|
% 43.41/13.61  																																																		| Simplifying 1107 yields:
% 43.41/13.61  																																																		| (865) e1 = e0
% 43.41/13.61  																																																		|
% 43.41/13.61  																																																		| Equations (865) can reduce 264 to:
% 43.41/13.61  																																																		| (311) $false
% 43.41/13.61  																																																		|
% 43.41/13.61  																																																		|-The branch is then unsatisfiable
% 43.41/13.61  																																										|-Branch two:
% 43.41/13.61  																																										| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.61  																																										| (1543) all_0_98_98 = e1
% 43.41/13.61  																																										|
% 43.41/13.61  																																											| Equations (1543) can reduce 1804 to:
% 43.41/13.61  																																											| (311) $false
% 43.41/13.61  																																											|
% 43.41/13.61  																																											|-The branch is then unsatisfiable
% 43.41/13.61  																																									|-Branch two:
% 43.41/13.61  																																									| (602)  ~ (all_0_93_93 = e3)
% 43.41/13.61  																																									| (969) all_0_98_98 = e3
% 43.41/13.61  																																									|
% 43.41/13.61  																																										| Equations (969) can reduce 1519 to:
% 43.41/13.61  																																										| (311) $false
% 43.41/13.61  																																										|
% 43.41/13.61  																																										|-The branch is then unsatisfiable
% 43.41/13.61  																													|-Branch two:
% 43.41/13.61  																													| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.61  																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.61  																													|
% 43.41/13.61  																														+-Applying beta-rule and splitting (1718), into two cases.
% 43.41/13.61  																														|-Branch one:
% 43.41/13.61  																														| (384) all_0_86_86 = e1
% 43.41/13.61  																														|
% 43.41/13.61  																															| Combining equations (378,384) yields a new equation:
% 43.41/13.61  																															| (865) e1 = e0
% 43.41/13.61  																															|
% 43.41/13.61  																															| Equations (865) can reduce 264 to:
% 43.41/13.62  																															| (311) $false
% 43.41/13.62  																															|
% 43.41/13.62  																															|-The branch is then unsatisfiable
% 43.41/13.62  																														|-Branch two:
% 43.41/13.62  																														| (387)  ~ (all_0_86_86 = e1)
% 43.41/13.62  																														| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.62  																														|
% 43.41/13.62  																															+-Applying beta-rule and splitting (2122), into two cases.
% 43.41/13.62  																															|-Branch one:
% 43.41/13.62  																															| (750) all_0_90_90 = e1
% 43.41/13.62  																															|
% 43.41/13.62  																																| Equations (750) can reduce 678 to:
% 43.41/13.62  																																| (311) $false
% 43.41/13.62  																																|
% 43.41/13.62  																																|-The branch is then unsatisfiable
% 43.41/13.62  																															|-Branch two:
% 43.41/13.62  																															| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.62  																															| (785) all_0_95_95 = e1
% 43.41/13.62  																															|
% 43.41/13.62  																																| Equations (785) can reduce 893 to:
% 43.41/13.62  																																| (264)  ~ (e1 = e0)
% 43.41/13.62  																																|
% 43.41/13.62  																																+-Applying beta-rule and splitting (1526), into two cases.
% 43.41/13.62  																																|-Branch one:
% 43.41/13.62  																																| (801) all_0_91_91 = e1
% 43.41/13.62  																																|
% 43.41/13.62  																																	| Combining equations (1456,801) yields a new equation:
% 43.41/13.62  																																	| (865) e1 = e0
% 43.41/13.62  																																	|
% 43.41/13.62  																																	| Equations (865) can reduce 264 to:
% 43.41/13.62  																																	| (311) $false
% 43.41/13.62  																																	|
% 43.41/13.62  																																	|-The branch is then unsatisfiable
% 43.41/13.62  																																|-Branch two:
% 43.41/13.62  																																| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.62  																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.62  																																|
% 43.41/13.62  																																	+-Applying beta-rule and splitting (1556), into two cases.
% 43.41/13.62  																																	|-Branch one:
% 43.41/13.62  																																	| (836) all_0_92_92 = e1
% 43.41/13.62  																																	|
% 43.41/13.62  																																		| Equations (836) can reduce 426 to:
% 43.41/13.62  																																		| (683)  ~ (e3 = e1)
% 43.41/13.62  																																		|
% 43.41/13.62  																																		| Simplifying 683 yields:
% 43.41/13.62  																																		| (20)  ~ (e3 = e1)
% 43.41/13.62  																																		|
% 43.41/13.62  																																		| Equations (836) can reduce 298 to:
% 43.41/13.62  																																		| (487)  ~ (e2 = e1)
% 43.41/13.62  																																		|
% 43.41/13.62  																																		| Simplifying 487 yields:
% 43.41/13.62  																																		| (243)  ~ (e2 = e1)
% 43.41/13.62  																																		|
% 43.41/13.62  																																		+-Applying beta-rule and splitting (210), into two cases.
% 43.41/13.62  																																		|-Branch one:
% 43.41/13.62  																																		| (433) all_0_80_80 = e4
% 43.41/13.62  																																		|
% 43.41/13.62  																																			| Combining equations (416,433) yields a new equation:
% 43.41/13.62  																																			| (434) e4 = e3
% 43.41/13.62  																																			|
% 43.41/13.62  																																			| Equations (434) can reduce 177 to:
% 43.41/13.62  																																			| (311) $false
% 43.41/13.62  																																			|
% 43.41/13.62  																																			|-The branch is then unsatisfiable
% 43.41/13.62  																																		|-Branch two:
% 43.41/13.62  																																		| (436)  ~ (all_0_80_80 = e4)
% 43.41/13.62  																																		| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.62  																																		|
% 43.41/13.62  																																			+-Applying beta-rule and splitting (437), into two cases.
% 43.41/13.62  																																			|-Branch one:
% 43.41/13.62  																																			| (438) all_0_84_84 = e4
% 43.41/13.62  																																			|
% 43.41/13.62  																																				| Equations (438) can reduce 422 to:
% 43.41/13.62  																																				| (177)  ~ (e4 = e3)
% 43.41/13.62  																																				|
% 43.41/13.62  																																				+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.62  																																				|-Branch one:
% 43.41/13.62  																																				| (771) all_0_78_78 = e3
% 43.41/13.62  																																				|
% 43.41/13.62  																																					| Combining equations (463,771) yields a new equation:
% 43.41/13.62  																																					| (790) e4 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																					| Simplifying 790 yields:
% 43.41/13.62  																																					| (434) e4 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																					| Equations (434) can reduce 177 to:
% 43.41/13.62  																																					| (311) $false
% 43.41/13.62  																																					|
% 43.41/13.62  																																					|-The branch is then unsatisfiable
% 43.41/13.62  																																				|-Branch two:
% 43.41/13.62  																																				| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.62  																																				| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.62  																																				|
% 43.41/13.62  																																					+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.62  																																					|-Branch one:
% 43.41/13.62  																																					| (789) all_0_82_82 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																						| Combining equations (789,530) yields a new equation:
% 43.41/13.62  																																						| (547) e3 = e2
% 43.41/13.62  																																						|
% 43.41/13.62  																																						| Simplifying 547 yields:
% 43.41/13.62  																																						| (548) e3 = e2
% 43.41/13.62  																																						|
% 43.41/13.62  																																						| Equations (548) can reduce 169 to:
% 43.41/13.62  																																						| (311) $false
% 43.41/13.62  																																						|
% 43.41/13.62  																																						|-The branch is then unsatisfiable
% 43.41/13.62  																																					|-Branch two:
% 43.41/13.62  																																					| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.62  																																					| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																						+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.62  																																						|-Branch one:
% 43.41/13.62  																																						| (754) all_0_90_90 = e3
% 43.41/13.62  																																						|
% 43.41/13.62  																																							| From (754) and (743) follows:
% 43.41/13.62  																																							| (831) op(e3, e3) = e1
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Instantiating formula (262) with e3, e3, e1, e2 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e1, yields:
% 43.41/13.62  																																							| (385) e2 = e1
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Equations (385) can reduce 243 to:
% 43.41/13.62  																																							| (311) $false
% 43.41/13.62  																																							|
% 43.41/13.62  																																							|-The branch is then unsatisfiable
% 43.41/13.62  																																						|-Branch two:
% 43.41/13.62  																																						| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.62  																																						| (744) all_0_95_95 = e3
% 43.41/13.62  																																						|
% 43.41/13.62  																																							| Combining equations (744,785) yields a new equation:
% 43.41/13.62  																																							| (825) e3 = e1
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Simplifying 825 yields:
% 43.41/13.62  																																							| (772) e3 = e1
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Equations (772) can reduce 20 to:
% 43.41/13.62  																																							| (311) $false
% 43.41/13.62  																																							|
% 43.41/13.62  																																							|-The branch is then unsatisfiable
% 43.41/13.62  																																			|-Branch two:
% 43.41/13.62  																																			| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.62  																																			| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.62  																																			|
% 43.41/13.62  																																				+-Applying beta-rule and splitting (472), into two cases.
% 43.41/13.62  																																				|-Branch one:
% 43.41/13.62  																																				| (438) all_0_84_84 = e4
% 43.41/13.62  																																				|
% 43.41/13.62  																																					| Equations (438) can reduce 417 to:
% 43.41/13.62  																																					| (311) $false
% 43.41/13.62  																																					|
% 43.41/13.62  																																					|-The branch is then unsatisfiable
% 43.41/13.62  																																				|-Branch two:
% 43.41/13.62  																																				| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.62  																																				| (493) all_0_85_85 = e4
% 43.41/13.62  																																				|
% 43.41/13.62  																																					| Equations (493) can reduce 128 to:
% 43.41/13.62  																																					| (256)  ~ (e4 = e1)
% 43.41/13.62  																																					|
% 43.41/13.62  																																					+-Applying beta-rule and splitting (441), into two cases.
% 43.41/13.62  																																					|-Branch one:
% 43.41/13.62  																																					| (442) all_0_92_92 = e4
% 43.41/13.62  																																					|
% 43.41/13.62  																																						| Combining equations (836,442) yields a new equation:
% 43.41/13.62  																																						| (814) e4 = e1
% 43.41/13.62  																																						|
% 43.41/13.62  																																						| Equations (814) can reduce 256 to:
% 43.41/13.62  																																						| (311) $false
% 43.41/13.62  																																						|
% 43.41/13.62  																																						|-The branch is then unsatisfiable
% 43.41/13.62  																																					|-Branch two:
% 43.41/13.62  																																					| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.62  																																					| (610) all_0_97_97 = e4
% 43.41/13.62  																																					|
% 43.41/13.62  																																						| Equations (610) can reduce 319 to:
% 43.41/13.62  																																						| (311) $false
% 43.41/13.62  																																						|
% 43.41/13.62  																																						|-The branch is then unsatisfiable
% 43.41/13.62  																																	|-Branch two:
% 43.41/13.62  																																	| (840)  ~ (all_0_92_92 = e1)
% 43.41/13.62  																																	| (566) all_0_93_93 = e1
% 43.41/13.62  																																	|
% 43.41/13.62  																																		| Equations (566) can reduce 481 to:
% 43.41/13.62  																																		| (311) $false
% 43.41/13.62  																																		|
% 43.41/13.62  																																		|-The branch is then unsatisfiable
% 43.41/13.62  																											|-Branch two:
% 43.41/13.62  																											| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.41/13.62  																											|
% 43.41/13.62  																												| Applying alpha-rule on (973) yields:
% 43.41/13.62  																												| (974) all_0_50_50 = e0
% 43.41/13.62  																												| (975)  ~ (all_0_51_51 = e3)
% 43.41/13.62  																												|
% 43.41/13.62  																												| From (974) and (121) follows:
% 43.41/13.62  																												| (976) op(e3, all_0_95_95) = e0
% 43.41/13.62  																												|
% 43.41/13.62  																												+-Applying beta-rule and splitting (276), into two cases.
% 43.41/13.62  																												|-Branch one:
% 43.41/13.62  																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.41/13.62  																												|
% 43.41/13.62  																													+-Applying beta-rule and splitting (577), into two cases.
% 43.41/13.62  																													|-Branch one:
% 43.41/13.62  																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.41/13.62  																													|
% 43.41/13.62  																														+-Applying beta-rule and splitting (578), into two cases.
% 43.41/13.62  																														|-Branch one:
% 43.41/13.62  																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.41/13.62  																														|
% 43.41/13.62  																															| Applying alpha-rule on (579) yields:
% 43.41/13.62  																															| (580) all_0_60_60 = e4
% 43.41/13.62  																															| (581)  ~ (all_0_61_61 = e1)
% 43.41/13.62  																															|
% 43.41/13.62  																															| Combining equations (580,451) yields a new equation:
% 43.41/13.62  																															| (583) all_0_90_90 = e4
% 43.41/13.62  																															|
% 43.41/13.62  																															| Equations (583) can reduce 467 to:
% 43.41/13.62  																															| (311) $false
% 43.41/13.62  																															|
% 43.41/13.62  																															|-The branch is then unsatisfiable
% 43.41/13.62  																														|-Branch two:
% 43.41/13.62  																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.41/13.62  																														|
% 43.41/13.62  																															| Applying alpha-rule on (585) yields:
% 43.41/13.62  																															| (586) all_0_62_62 = e3
% 43.41/13.62  																															| (587)  ~ (all_0_63_63 = e1)
% 43.41/13.62  																															|
% 43.41/13.62  																															| From (586) and (122) follows:
% 43.41/13.62  																															| (5563) op(e1, all_0_84_84) = e3
% 43.41/13.62  																															|
% 43.41/13.62  																															+-Applying beta-rule and splitting (132), into two cases.
% 43.41/13.62  																															|-Branch one:
% 43.41/13.62  																															| (750) all_0_90_90 = e1
% 43.41/13.62  																															|
% 43.41/13.62  																																| Equations (750) can reduce 229 to:
% 43.41/13.62  																																| (679)  ~ (all_0_95_95 = e1)
% 43.41/13.62  																																|
% 43.41/13.62  																																| Simplifying 679 yields:
% 43.41/13.62  																																| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.62  																																|
% 43.41/13.62  																																| Equations (750) can reduce 294 to:
% 43.41/13.62  																																| (487)  ~ (e2 = e1)
% 43.41/13.62  																																|
% 43.41/13.62  																																| Simplifying 487 yields:
% 43.41/13.62  																																| (243)  ~ (e2 = e1)
% 43.41/13.62  																																|
% 43.41/13.62  																																+-Applying beta-rule and splitting (282), into two cases.
% 43.41/13.62  																																|-Branch one:
% 43.41/13.62  																																| (754) all_0_90_90 = e3
% 43.41/13.62  																																|
% 43.41/13.62  																																	| Combining equations (750,754) yields a new equation:
% 43.41/13.62  																																	| (772) e3 = e1
% 43.41/13.62  																																	|
% 43.41/13.62  																																	| Equations (772) can reduce 20 to:
% 43.41/13.62  																																	| (311) $false
% 43.41/13.62  																																	|
% 43.41/13.62  																																	|-The branch is then unsatisfiable
% 43.41/13.62  																																|-Branch two:
% 43.41/13.62  																																| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.62  																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.41/13.62  																																|
% 43.41/13.62  																																	| Equations (750) can reduce 745 to:
% 43.41/13.62  																																	| (683)  ~ (e3 = e1)
% 43.41/13.62  																																	|
% 43.41/13.62  																																	| Simplifying 683 yields:
% 43.41/13.62  																																	| (20)  ~ (e3 = e1)
% 43.41/13.62  																																	|
% 43.41/13.62  																																	+-Applying beta-rule and splitting (176), into two cases.
% 43.41/13.62  																																	|-Branch one:
% 43.41/13.62  																																	| (785) all_0_95_95 = e1
% 43.41/13.62  																																	|
% 43.41/13.62  																																		| Equations (785) can reduce 680 to:
% 43.41/13.62  																																		| (311) $false
% 43.41/13.62  																																		|
% 43.41/13.62  																																		|-The branch is then unsatisfiable
% 43.41/13.62  																																	|-Branch two:
% 43.41/13.62  																																	| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.62  																																	| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.62  																																	|
% 43.41/13.62  																																		+-Applying beta-rule and splitting (151), into two cases.
% 43.41/13.62  																																		|-Branch one:
% 43.41/13.62  																																		| (824) all_0_80_80 = e1
% 43.41/13.62  																																		|
% 43.41/13.62  																																			| Combining equations (416,824) yields a new equation:
% 43.41/13.62  																																			| (825) e3 = e1
% 43.41/13.62  																																			|
% 43.41/13.62  																																			| Simplifying 825 yields:
% 43.41/13.62  																																			| (772) e3 = e1
% 43.41/13.62  																																			|
% 43.41/13.62  																																			| Equations (772) can reduce 20 to:
% 43.41/13.62  																																			| (311) $false
% 43.41/13.62  																																			|
% 43.41/13.62  																																			|-The branch is then unsatisfiable
% 43.41/13.62  																																		|-Branch two:
% 43.41/13.62  																																		| (828)  ~ (all_0_80_80 = e1)
% 43.41/13.62  																																		| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.62  																																		|
% 43.41/13.62  																																			| Equations (416) can reduce 828 to:
% 43.41/13.62  																																			| (20)  ~ (e3 = e1)
% 43.41/13.62  																																			|
% 43.41/13.62  																																			+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.62  																																			|-Branch one:
% 43.41/13.62  																																			| (771) all_0_78_78 = e3
% 43.41/13.62  																																			|
% 43.41/13.62  																																				| Combining equations (463,771) yields a new equation:
% 43.41/13.62  																																				| (790) e4 = e3
% 43.41/13.62  																																				|
% 43.41/13.62  																																				| Simplifying 790 yields:
% 43.41/13.62  																																				| (434) e4 = e3
% 43.41/13.62  																																				|
% 43.41/13.62  																																				| Equations (434) can reduce 177 to:
% 43.41/13.62  																																				| (311) $false
% 43.41/13.62  																																				|
% 43.41/13.62  																																				|-The branch is then unsatisfiable
% 43.41/13.62  																																			|-Branch two:
% 43.41/13.62  																																			| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.62  																																			| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.62  																																			|
% 43.41/13.62  																																				+-Applying beta-rule and splitting (99), into two cases.
% 43.41/13.62  																																				|-Branch one:
% 43.41/13.62  																																				| (767) all_0_95_95 = e2
% 43.41/13.62  																																				|
% 43.41/13.62  																																					| Equations (767) can reduce 355 to:
% 43.41/13.62  																																					| (311) $false
% 43.41/13.62  																																					|
% 43.41/13.62  																																					|-The branch is then unsatisfiable
% 43.41/13.62  																																				|-Branch two:
% 43.41/13.62  																																				| (355)  ~ (all_0_95_95 = e2)
% 43.41/13.62  																																				| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.41/13.62  																																				|
% 43.41/13.62  																																					+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.62  																																					|-Branch one:
% 43.41/13.62  																																					| (789) all_0_82_82 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																						| Combining equations (530,789) yields a new equation:
% 43.41/13.62  																																						| (548) e3 = e2
% 43.41/13.62  																																						|
% 43.41/13.62  																																						| Equations (548) can reduce 169 to:
% 43.41/13.62  																																						| (311) $false
% 43.41/13.62  																																						|
% 43.41/13.62  																																						|-The branch is then unsatisfiable
% 43.41/13.62  																																					|-Branch two:
% 43.41/13.62  																																					| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.62  																																					| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.62  																																					|
% 43.41/13.62  																																						+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.62  																																						|-Branch one:
% 43.41/13.62  																																						| (754) all_0_90_90 = e3
% 43.41/13.62  																																						|
% 43.41/13.62  																																							| Combining equations (750,754) yields a new equation:
% 43.41/13.62  																																							| (772) e3 = e1
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Equations (772) can reduce 20 to:
% 43.41/13.62  																																							| (311) $false
% 43.41/13.62  																																							|
% 43.41/13.62  																																							|-The branch is then unsatisfiable
% 43.41/13.62  																																						|-Branch two:
% 43.41/13.62  																																						| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.62  																																						| (744) all_0_95_95 = e3
% 43.41/13.62  																																						|
% 43.41/13.62  																																							| Equations (744) can reduce 107 to:
% 43.41/13.62  																																							| (1518)  ~ (all_0_98_98 = e3)
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Simplifying 1518 yields:
% 43.41/13.62  																																							| (1519)  ~ (all_0_98_98 = e3)
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| Equations (744) can reduce 355 to:
% 43.41/13.62  																																							| (169)  ~ (e3 = e2)
% 43.41/13.62  																																							|
% 43.41/13.62  																																							| From (744) and (976) follows:
% 43.41/13.62  																																							| (979) op(e3, e3) = e0
% 43.41/13.62  																																							|
% 43.41/13.62  																																							+-Applying beta-rule and splitting (250), into two cases.
% 43.41/13.62  																																							|-Branch one:
% 43.41/13.62  																																							| (635) all_0_81_81 = e3
% 43.41/13.62  																																							|
% 43.41/13.62  																																								| Combining equations (473,635) yields a new equation:
% 43.41/13.62  																																								| (548) e3 = e2
% 43.41/13.62  																																								|
% 43.41/13.62  																																								| Equations (548) can reduce 169 to:
% 43.41/13.62  																																								| (311) $false
% 43.41/13.62  																																								|
% 43.41/13.62  																																								|-The branch is then unsatisfiable
% 43.41/13.62  																																							|-Branch two:
% 43.41/13.62  																																							| (420)  ~ (all_0_81_81 = e3)
% 43.41/13.62  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.62  																																							|
% 43.41/13.62  																																								+-Applying beta-rule and splitting (4488), into two cases.
% 43.41/13.62  																																								|-Branch one:
% 43.41/13.62  																																								| (804) all_0_85_85 = e3
% 43.41/13.62  																																								|
% 43.41/13.62  																																									| Equations (804) can reduce 952 to:
% 43.41/13.62  																																									| (311) $false
% 43.41/13.62  																																									|
% 43.41/13.62  																																									|-The branch is then unsatisfiable
% 43.41/13.62  																																								|-Branch two:
% 43.41/13.62  																																								| (952)  ~ (all_0_85_85 = e3)
% 43.41/13.62  																																								| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.62  																																								|
% 43.41/13.62  																																									+-Applying beta-rule and splitting (48), into two cases.
% 43.41/13.62  																																									|-Branch one:
% 43.41/13.62  																																									| (525) all_0_98_98 = e2
% 43.41/13.62  																																									|
% 43.41/13.62  																																										| Equations (525) can reduce 1349 to:
% 43.41/13.62  																																										| (311) $false
% 43.41/13.62  																																										|
% 43.41/13.62  																																										|-The branch is then unsatisfiable
% 43.41/13.62  																																									|-Branch two:
% 43.41/13.62  																																									| (1349)  ~ (all_0_98_98 = e2)
% 43.41/13.62  																																									| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 43.41/13.62  																																									|
% 43.41/13.62  																																										+-Applying beta-rule and splitting (829), into two cases.
% 43.41/13.62  																																										|-Branch one:
% 43.41/13.62  																																										| (482) all_0_87_87 = e1
% 43.41/13.62  																																										|
% 43.41/13.62  																																											| Combining equations (374,482) yields a new equation:
% 43.41/13.62  																																											| (408) e2 = e1
% 43.41/13.62  																																											|
% 43.41/13.62  																																											| Simplifying 408 yields:
% 43.41/13.62  																																											| (385) e2 = e1
% 43.41/13.62  																																											|
% 43.41/13.62  																																											| Equations (385) can reduce 243 to:
% 43.41/13.62  																																											| (311) $false
% 43.41/13.62  																																											|
% 43.41/13.62  																																											|-The branch is then unsatisfiable
% 43.41/13.62  																																										|-Branch two:
% 43.41/13.62  																																										| (625)  ~ (all_0_87_87 = e1)
% 43.41/13.62  																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.62  																																										|
% 43.41/13.62  																																											| Equations (374) can reduce 625 to:
% 43.41/13.62  																																											| (243)  ~ (e2 = e1)
% 43.41/13.62  																																											|
% 43.41/13.62  																																											+-Applying beta-rule and splitting (788), into two cases.
% 43.41/13.62  																																											|-Branch one:
% 43.41/13.62  																																											| (960) all_0_96_96 = e1
% 43.41/13.62  																																											|
% 43.41/13.62  																																												| Combining equations (960,1704) yields a new equation:
% 43.41/13.62  																																												| (385) e2 = e1
% 43.41/13.62  																																												|
% 43.41/13.62  																																												| Equations (385) can reduce 243 to:
% 43.41/13.62  																																												| (311) $false
% 43.41/13.62  																																												|
% 43.41/13.62  																																												|-The branch is then unsatisfiable
% 43.41/13.62  																																											|-Branch two:
% 43.41/13.62  																																											| (1479)  ~ (all_0_96_96 = e1)
% 43.41/13.62  																																											| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.62  																																											|
% 43.41/13.62  																																												+-Applying beta-rule and splitting (4559), into two cases.
% 43.41/13.62  																																												|-Branch one:
% 43.41/13.62  																																												| (570) all_0_93_93 = e3
% 43.41/13.62  																																												|
% 43.41/13.62  																																													| Equations (570) can reduce 509 to:
% 43.41/13.62  																																													| (50)  ~ (e3 = e0)
% 43.41/13.62  																																													|
% 43.41/13.62  																																													+-Applying beta-rule and splitting (2126), into two cases.
% 43.41/13.62  																																													|-Branch one:
% 43.41/13.62  																																													| (542) all_0_97_97 = e1
% 43.41/13.62  																																													|
% 43.41/13.62  																																														| Equations (542) can reduce 195 to:
% 43.41/13.62  																																														| (259)  ~ (all_0_84_84 = e1)
% 43.41/13.62  																																														|
% 43.41/13.62  																																														+-Applying beta-rule and splitting (102), into two cases.
% 43.41/13.62  																																														|-Branch one:
% 43.41/13.62  																																														| (858) all_0_95_95 = e0
% 43.41/13.62  																																														|
% 43.41/13.62  																																															| Combining equations (858,744) yields a new equation:
% 43.41/13.62  																																															| (600) e3 = e0
% 43.41/13.62  																																															|
% 43.41/13.62  																																															| Equations (600) can reduce 50 to:
% 43.41/13.62  																																															| (311) $false
% 43.41/13.62  																																															|
% 43.41/13.62  																																															|-The branch is then unsatisfiable
% 43.41/13.62  																																														|-Branch two:
% 43.41/13.62  																																														| (893)  ~ (all_0_95_95 = e0)
% 43.41/13.62  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.41/13.62  																																														|
% 43.41/13.62  																																															| Equations (744) can reduce 893 to:
% 43.41/13.62  																																															| (50)  ~ (e3 = e0)
% 43.41/13.62  																																															|
% 43.41/13.62  																																															+-Applying beta-rule and splitting (2), into two cases.
% 43.41/13.62  																																															|-Branch one:
% 43.41/13.62  																																															| (916) all_0_84_84 = e0
% 43.41/13.62  																																															|
% 43.41/13.62  																																																| Equations (916) can reduce 154 to:
% 43.41/13.62  																																																| (799)  ~ (all_0_85_85 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																| Simplifying 799 yields:
% 43.41/13.62  																																																| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																| Equations (916) can reduce 422 to:
% 43.41/13.62  																																																| (906)  ~ (e3 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																| Simplifying 906 yields:
% 43.41/13.62  																																																| (50)  ~ (e3 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																| Equations (916) can reduce 259 to:
% 43.41/13.62  																																																| (859)  ~ (e1 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																| Simplifying 859 yields:
% 43.41/13.62  																																																| (264)  ~ (e1 = e0)
% 43.41/13.62  																																																|
% 43.41/13.62  																																																+-Applying beta-rule and splitting (289), into two cases.
% 43.41/13.62  																																																|-Branch one:
% 43.41/13.62  																																																| (954) all_0_85_85 = e0
% 43.41/13.62  																																																|
% 43.41/13.62  																																																	| Equations (954) can reduce 800 to:
% 43.41/13.62  																																																	| (311) $false
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																	|-The branch is then unsatisfiable
% 43.41/13.62  																																																|-Branch two:
% 43.41/13.62  																																																| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.62  																																																| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.62  																																																|
% 43.41/13.62  																																																	+-Applying beta-rule and splitting (1077), into two cases.
% 43.41/13.62  																																																	|-Branch one:
% 43.41/13.62  																																																	| (507) all_0_88_88 = e0
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																		| Combining equations (504,507) yields a new equation:
% 43.41/13.62  																																																		| (1107) e1 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																		| Simplifying 1107 yields:
% 43.41/13.62  																																																		| (865) e1 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																		| Equations (865) can reduce 264 to:
% 43.41/13.62  																																																		| (311) $false
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																		|-The branch is then unsatisfiable
% 43.41/13.62  																																																	|-Branch two:
% 43.41/13.62  																																																	| (1110)  ~ (all_0_88_88 = e0)
% 43.41/13.62  																																																	| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																		+-Applying beta-rule and splitting (1111), into two cases.
% 43.41/13.62  																																																		|-Branch one:
% 43.41/13.62  																																																		| (604) all_0_93_93 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																			| Combining equations (604,570) yields a new equation:
% 43.41/13.62  																																																			| (600) e3 = e0
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Equations (600) can reduce 50 to:
% 43.41/13.62  																																																			| (311) $false
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			|-The branch is then unsatisfiable
% 43.41/13.62  																																																		|-Branch two:
% 43.41/13.62  																																																		| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.62  																																																		| (1121) all_0_98_98 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																			| Equations (1121) can reduce 1349 to:
% 43.41/13.62  																																																			| (510)  ~ (e2 = e0)
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Simplifying 510 yields:
% 43.41/13.62  																																																			| (76)  ~ (e2 = e0)
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Instantiating formula (262) with e3, e3, e0, e2 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e0, yields:
% 43.41/13.62  																																																			| (379) e2 = e0
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Equations (379) can reduce 76 to:
% 43.41/13.62  																																																			| (311) $false
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			|-The branch is then unsatisfiable
% 43.41/13.62  																																															|-Branch two:
% 43.41/13.62  																																															| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.62  																																															| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.62  																																															|
% 43.41/13.62  																																																+-Applying beta-rule and splitting (249), into two cases.
% 43.41/13.62  																																																|-Branch one:
% 43.41/13.62  																																																| (910) all_0_82_82 = e0
% 43.41/13.62  																																																|
% 43.41/13.62  																																																	| Combining equations (910,530) yields a new equation:
% 43.41/13.62  																																																	| (379) e2 = e0
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																	| Equations (379) can reduce 76 to:
% 43.41/13.62  																																																	| (311) $false
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																	|-The branch is then unsatisfiable
% 43.41/13.62  																																																|-Branch two:
% 43.41/13.62  																																																| (914)  ~ (all_0_82_82 = e0)
% 43.41/13.62  																																																| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.62  																																																|
% 43.41/13.62  																																																	+-Applying beta-rule and splitting (1309), into two cases.
% 43.41/13.62  																																																	|-Branch one:
% 43.41/13.62  																																																	| (798) all_0_83_83 = e0
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																		| Combining equations (798,795) yields a new equation:
% 43.41/13.62  																																																		| (600) e3 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																		| Equations (600) can reduce 50 to:
% 43.41/13.62  																																																		| (311) $false
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																		|-The branch is then unsatisfiable
% 43.41/13.62  																																																	|-Branch two:
% 43.41/13.62  																																																	| (1314)  ~ (all_0_83_83 = e0)
% 43.41/13.62  																																																	| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.62  																																																	|
% 43.41/13.62  																																																		+-Applying beta-rule and splitting (1315), into two cases.
% 43.41/13.62  																																																		|-Branch one:
% 43.41/13.62  																																																		| (916) all_0_84_84 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																			| Equations (916) can reduce 919 to:
% 43.41/13.62  																																																			| (311) $false
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			|-The branch is then unsatisfiable
% 43.41/13.62  																																																		|-Branch two:
% 43.41/13.62  																																																		| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.62  																																																		| (954) all_0_85_85 = e0
% 43.41/13.62  																																																		|
% 43.41/13.62  																																																			| Equations (954) can reduce 515 to:
% 43.41/13.62  																																																			| (510)  ~ (e2 = e0)
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Simplifying 510 yields:
% 43.41/13.62  																																																			| (76)  ~ (e2 = e0)
% 43.41/13.62  																																																			|
% 43.41/13.62  																																																			| Equations (954) can reduce 128 to:
% 43.41/13.62  																																																			| (859)  ~ (e1 = e0)
% 43.41/13.62  																																																			|
% 43.41/13.63  																																																			| Simplifying 859 yields:
% 43.41/13.63  																																																			| (264)  ~ (e1 = e0)
% 43.41/13.63  																																																			|
% 43.41/13.63  																																																			+-Applying beta-rule and splitting (920), into two cases.
% 43.41/13.63  																																																			|-Branch one:
% 43.41/13.63  																																																			| (861) all_0_87_87 = e0
% 43.41/13.63  																																																			|
% 43.41/13.63  																																																				| Combining equations (374,861) yields a new equation:
% 43.41/13.63  																																																				| (923) e2 = e0
% 43.41/13.63  																																																				|
% 43.41/13.63  																																																				| Simplifying 923 yields:
% 43.41/13.63  																																																				| (379) e2 = e0
% 43.41/13.63  																																																				|
% 43.41/13.63  																																																				| Equations (379) can reduce 76 to:
% 43.41/13.63  																																																				| (311) $false
% 43.41/13.63  																																																				|
% 43.41/13.63  																																																				|-The branch is then unsatisfiable
% 43.41/13.63  																																																			|-Branch two:
% 43.41/13.63  																																																			| (889)  ~ (all_0_87_87 = e0)
% 43.41/13.63  																																																			| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.63  																																																			|
% 43.41/13.63  																																																				+-Applying beta-rule and splitting (931), into two cases.
% 43.41/13.63  																																																				|-Branch one:
% 43.41/13.63  																																																				| (942) all_0_92_92 = e0
% 43.41/13.63  																																																				|
% 43.41/13.63  																																																					| Equations (942) can reduce 946 to:
% 43.41/13.63  																																																					| (311) $false
% 43.41/13.63  																																																					|
% 43.41/13.63  																																																					|-The branch is then unsatisfiable
% 43.41/13.63  																																																				|-Branch two:
% 43.41/13.63  																																																				| (946)  ~ (all_0_92_92 = e0)
% 43.41/13.63  																																																				| (560) all_0_97_97 = e0
% 43.41/13.63  																																																				|
% 43.41/13.63  																																																					| Combining equations (542,560) yields a new equation:
% 43.41/13.63  																																																					| (1107) e1 = e0
% 43.41/13.63  																																																					|
% 43.41/13.63  																																																					| Simplifying 1107 yields:
% 43.41/13.63  																																																					| (865) e1 = e0
% 43.41/13.63  																																																					|
% 43.41/13.63  																																																					| Equations (865) can reduce 264 to:
% 43.41/13.63  																																																					| (311) $false
% 43.41/13.63  																																																					|
% 43.41/13.63  																																																					|-The branch is then unsatisfiable
% 43.41/13.63  																																													|-Branch two:
% 43.41/13.63  																																													| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.63  																																													| (1543) all_0_98_98 = e1
% 43.41/13.63  																																													|
% 43.41/13.63  																																														| Equations (1543) can reduce 1804 to:
% 43.41/13.63  																																														| (311) $false
% 43.41/13.63  																																														|
% 43.41/13.63  																																														|-The branch is then unsatisfiable
% 43.41/13.63  																																												|-Branch two:
% 43.41/13.63  																																												| (602)  ~ (all_0_93_93 = e3)
% 43.41/13.63  																																												| (969) all_0_98_98 = e3
% 43.41/13.63  																																												|
% 43.41/13.63  																																													| Equations (969) can reduce 1519 to:
% 43.41/13.63  																																													| (311) $false
% 43.41/13.63  																																													|
% 43.41/13.63  																																													|-The branch is then unsatisfiable
% 43.41/13.63  																															|-Branch two:
% 43.41/13.63  																															| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.63  																															| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.63  																															|
% 43.41/13.63  																																+-Applying beta-rule and splitting (1718), into two cases.
% 43.41/13.63  																																|-Branch one:
% 43.41/13.63  																																| (384) all_0_86_86 = e1
% 43.41/13.63  																																|
% 43.41/13.63  																																	| Combining equations (378,384) yields a new equation:
% 43.41/13.63  																																	| (865) e1 = e0
% 43.41/13.63  																																	|
% 43.41/13.63  																																	| Equations (865) can reduce 264 to:
% 43.41/13.63  																																	| (311) $false
% 43.41/13.63  																																	|
% 43.41/13.63  																																	|-The branch is then unsatisfiable
% 43.41/13.63  																																|-Branch two:
% 43.41/13.63  																																| (387)  ~ (all_0_86_86 = e1)
% 43.41/13.63  																																| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.63  																																|
% 43.41/13.63  																																	+-Applying beta-rule and splitting (2122), into two cases.
% 43.41/13.63  																																	|-Branch one:
% 43.41/13.63  																																	| (750) all_0_90_90 = e1
% 43.41/13.63  																																	|
% 43.41/13.63  																																		| Equations (750) can reduce 678 to:
% 43.41/13.63  																																		| (311) $false
% 43.41/13.63  																																		|
% 43.41/13.63  																																		|-The branch is then unsatisfiable
% 43.41/13.63  																																	|-Branch two:
% 43.41/13.63  																																	| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.63  																																	| (785) all_0_95_95 = e1
% 43.41/13.63  																																	|
% 43.41/13.63  																																		| Equations (785) can reduce 893 to:
% 43.41/13.63  																																		| (264)  ~ (e1 = e0)
% 43.41/13.63  																																		|
% 43.41/13.63  																																		+-Applying beta-rule and splitting (270), into two cases.
% 43.41/13.63  																																		|-Branch one:
% 43.41/13.63  																																		| (744) all_0_95_95 = e3
% 43.41/13.63  																																		|
% 43.41/13.63  																																			| Combining equations (785,744) yields a new equation:
% 43.41/13.63  																																			| (772) e3 = e1
% 43.41/13.63  																																			|
% 43.41/13.63  																																			| Equations (772) can reduce 20 to:
% 43.41/13.63  																																			| (311) $false
% 43.41/13.63  																																			|
% 43.41/13.63  																																			|-The branch is then unsatisfiable
% 43.41/13.63  																																		|-Branch two:
% 43.41/13.63  																																		| (765)  ~ (all_0_95_95 = e3)
% 43.41/13.63  																																		| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.41/13.63  																																		|
% 43.41/13.63  																																			+-Applying beta-rule and splitting (1526), into two cases.
% 43.41/13.63  																																			|-Branch one:
% 43.41/13.63  																																			| (801) all_0_91_91 = e1
% 43.41/13.63  																																			|
% 43.41/13.63  																																				| Combining equations (1456,801) yields a new equation:
% 43.41/13.63  																																				| (865) e1 = e0
% 43.41/13.63  																																				|
% 43.41/13.63  																																				| Equations (865) can reduce 264 to:
% 43.41/13.63  																																				| (311) $false
% 43.41/13.63  																																				|
% 43.41/13.63  																																				|-The branch is then unsatisfiable
% 43.41/13.63  																																			|-Branch two:
% 43.41/13.63  																																			| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.63  																																			| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.63  																																			|
% 43.41/13.63  																																				+-Applying beta-rule and splitting (1556), into two cases.
% 43.41/13.63  																																				|-Branch one:
% 43.41/13.63  																																				| (836) all_0_92_92 = e1
% 43.41/13.63  																																				|
% 43.41/13.63  																																					| Equations (836) can reduce 87 to:
% 43.41/13.63  																																					| (259)  ~ (all_0_84_84 = e1)
% 43.41/13.63  																																					|
% 43.41/13.63  																																					| Equations (836) can reduce 426 to:
% 43.41/13.63  																																					| (683)  ~ (e3 = e1)
% 43.41/13.63  																																					|
% 43.41/13.63  																																					| Simplifying 683 yields:
% 43.41/13.63  																																					| (20)  ~ (e3 = e1)
% 43.41/13.63  																																					|
% 43.41/13.63  																																					+-Applying beta-rule and splitting (210), into two cases.
% 43.41/13.63  																																					|-Branch one:
% 43.41/13.63  																																					| (433) all_0_80_80 = e4
% 43.41/13.63  																																					|
% 43.41/13.63  																																						| Combining equations (416,433) yields a new equation:
% 43.41/13.63  																																						| (434) e4 = e3
% 43.41/13.63  																																						|
% 43.41/13.63  																																						| Equations (434) can reduce 177 to:
% 43.41/13.63  																																						| (311) $false
% 43.41/13.63  																																						|
% 43.41/13.63  																																						|-The branch is then unsatisfiable
% 43.41/13.63  																																					|-Branch two:
% 43.41/13.63  																																					| (436)  ~ (all_0_80_80 = e4)
% 43.41/13.63  																																					| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.63  																																					|
% 43.41/13.63  																																						+-Applying beta-rule and splitting (46), into two cases.
% 43.41/13.63  																																						|-Branch one:
% 43.41/13.63  																																						| (308) all_0_89_89 = e4
% 43.41/13.63  																																						|
% 43.41/13.63  																																							| Combining equations (292,308) yields a new equation:
% 43.41/13.63  																																							| (310) e4 = e2
% 43.41/13.63  																																							|
% 43.41/13.63  																																							| Equations (310) can reduce 79 to:
% 43.41/13.63  																																							| (311) $false
% 43.41/13.63  																																							|
% 43.41/13.63  																																							|-The branch is then unsatisfiable
% 43.41/13.63  																																						|-Branch two:
% 43.41/13.63  																																						| (312)  ~ (all_0_89_89 = e4)
% 43.41/13.63  																																						| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.41/13.63  																																						|
% 43.41/13.63  																																							+-Applying beta-rule and splitting (437), into two cases.
% 43.41/13.63  																																							|-Branch one:
% 43.41/13.63  																																							| (438) all_0_84_84 = e4
% 43.41/13.63  																																							|
% 43.41/13.63  																																								| Equations (438) can reduce 422 to:
% 43.41/13.63  																																								| (177)  ~ (e4 = e3)
% 43.41/13.63  																																								|
% 43.41/13.63  																																								| Equations (438) can reduce 259 to:
% 43.41/13.63  																																								| (256)  ~ (e4 = e1)
% 43.41/13.63  																																								|
% 43.41/13.63  																																								| From (438) and (5563) follows:
% 43.41/13.63  																																								| (5580) op(e1, e4) = e3
% 43.41/13.63  																																								|
% 43.41/13.63  																																								+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.63  																																								|-Branch one:
% 43.41/13.63  																																								| (771) all_0_78_78 = e3
% 43.41/13.63  																																								|
% 43.41/13.63  																																									| Combining equations (463,771) yields a new equation:
% 43.41/13.63  																																									| (790) e4 = e3
% 43.41/13.63  																																									|
% 43.41/13.63  																																									| Simplifying 790 yields:
% 43.41/13.63  																																									| (434) e4 = e3
% 43.41/13.63  																																									|
% 43.41/13.63  																																									| Equations (434) can reduce 177 to:
% 43.41/13.63  																																									| (311) $false
% 43.41/13.63  																																									|
% 43.41/13.63  																																									|-The branch is then unsatisfiable
% 43.41/13.63  																																								|-Branch two:
% 43.41/13.63  																																								| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.63  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.63  																																								|
% 43.41/13.63  																																									+-Applying beta-rule and splitting (27), into two cases.
% 43.41/13.63  																																									|-Branch one:
% 43.41/13.63  																																									| (746) all_0_90_90 = e2
% 43.41/13.63  																																									|
% 43.41/13.63  																																										| Equations (746) can reduce 294 to:
% 43.41/13.63  																																										| (311) $false
% 43.41/13.63  																																										|
% 43.41/13.63  																																										|-The branch is then unsatisfiable
% 43.41/13.63  																																									|-Branch two:
% 43.41/13.63  																																									| (294)  ~ (all_0_90_90 = e2)
% 43.41/13.63  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.41/13.63  																																									|
% 43.41/13.63  																																										+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.63  																																										|-Branch one:
% 43.41/13.63  																																										| (789) all_0_82_82 = e3
% 43.41/13.63  																																										|
% 43.41/13.63  																																											| Combining equations (789,530) yields a new equation:
% 43.41/13.63  																																											| (547) e3 = e2
% 43.41/13.63  																																											|
% 43.41/13.63  																																											| Simplifying 547 yields:
% 43.41/13.63  																																											| (548) e3 = e2
% 43.41/13.63  																																											|
% 43.41/13.63  																																											| Equations (548) can reduce 169 to:
% 43.41/13.63  																																											| (311) $false
% 43.41/13.63  																																											|
% 43.41/13.63  																																											|-The branch is then unsatisfiable
% 43.41/13.63  																																										|-Branch two:
% 43.41/13.63  																																										| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.63  																																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.63  																																										|
% 43.41/13.63  																																											+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.63  																																											|-Branch one:
% 43.41/13.63  																																											| (754) all_0_90_90 = e3
% 43.41/13.63  																																											|
% 43.41/13.63  																																												| Equations (754) can reduce 467 to:
% 43.41/13.63  																																												| (783)  ~ (e4 = e3)
% 43.41/13.63  																																												|
% 43.41/13.63  																																												| Simplifying 783 yields:
% 43.41/13.63  																																												| (177)  ~ (e4 = e3)
% 43.41/13.63  																																												|
% 43.41/13.63  																																												| Equations (754) can reduce 294 to:
% 43.41/13.63  																																												| (169)  ~ (e3 = e2)
% 43.41/13.63  																																												|
% 43.41/13.63  																																												+-Applying beta-rule and splitting (250), into two cases.
% 43.41/13.63  																																												|-Branch one:
% 43.41/13.63  																																												| (635) all_0_81_81 = e3
% 43.41/13.63  																																												|
% 43.41/13.63  																																													| Combining equations (473,635) yields a new equation:
% 43.41/13.63  																																													| (548) e3 = e2
% 43.41/13.63  																																													|
% 43.41/13.63  																																													| Equations (548) can reduce 169 to:
% 43.41/13.63  																																													| (311) $false
% 43.41/13.63  																																													|
% 43.41/13.63  																																													|-The branch is then unsatisfiable
% 43.41/13.63  																																												|-Branch two:
% 43.41/13.63  																																												| (420)  ~ (all_0_81_81 = e3)
% 43.41/13.63  																																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.63  																																												|
% 43.41/13.63  																																													| Equations (473) can reduce 420 to:
% 43.41/13.63  																																													| (356)  ~ (e3 = e2)
% 43.41/13.63  																																													|
% 43.41/13.63  																																													| Simplifying 356 yields:
% 43.41/13.63  																																													| (169)  ~ (e3 = e2)
% 43.41/13.63  																																													|
% 43.41/13.63  																																													+-Applying beta-rule and splitting (48), into two cases.
% 43.41/13.63  																																													|-Branch one:
% 43.41/13.63  																																													| (525) all_0_98_98 = e2
% 43.41/13.63  																																													|
% 43.41/13.63  																																														| Equations (525) can reduce 1349 to:
% 43.41/13.63  																																														| (311) $false
% 43.41/13.63  																																														|
% 43.41/13.63  																																														|-The branch is then unsatisfiable
% 43.41/13.63  																																													|-Branch two:
% 43.41/13.63  																																													| (1349)  ~ (all_0_98_98 = e2)
% 43.41/13.63  																																													| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 43.41/13.63  																																													|
% 43.41/13.63  																																														+-Applying beta-rule and splitting (766), into two cases.
% 43.41/13.63  																																														|-Branch one:
% 43.41/13.63  																																														| (778) all_0_96_96 = e3
% 43.41/13.63  																																														|
% 43.41/13.63  																																															| Combining equations (1704,778) yields a new equation:
% 43.41/13.63  																																															| (548) e3 = e2
% 43.41/13.63  																																															|
% 43.41/13.63  																																															| Equations (548) can reduce 169 to:
% 43.41/13.63  																																															| (311) $false
% 43.41/13.63  																																															|
% 43.41/13.63  																																															|-The branch is then unsatisfiable
% 43.41/13.63  																																														|-Branch two:
% 43.41/13.63  																																														| (964)  ~ (all_0_96_96 = e3)
% 43.41/13.63  																																														| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.41/13.63  																																														|
% 43.41/13.63  																																															+-Applying beta-rule and splitting (1915), into two cases.
% 43.41/13.63  																																															|-Branch one:
% 43.41/13.63  																																															| (583) all_0_90_90 = e4
% 43.41/13.63  																																															|
% 43.41/13.63  																																																| Combining equations (754,583) yields a new equation:
% 43.41/13.63  																																																| (434) e4 = e3
% 43.41/13.63  																																																|
% 43.41/13.63  																																																| Equations (434) can reduce 177 to:
% 43.41/13.63  																																																| (311) $false
% 43.41/13.63  																																																|
% 43.41/13.63  																																																|-The branch is then unsatisfiable
% 43.41/13.63  																																															|-Branch two:
% 43.41/13.63  																																															| (467)  ~ (all_0_90_90 = e4)
% 43.41/13.63  																																															| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.41/13.63  																																															|
% 43.41/13.63  																																																+-Applying beta-rule and splitting (965), into two cases.
% 43.41/13.63  																																																|-Branch one:
% 43.41/13.63  																																																| (556) all_0_97_97 = e3
% 43.41/13.63  																																																|
% 43.41/13.63  																																																	| Equations (556) can reduce 428 to:
% 43.41/13.63  																																																	| (311) $false
% 43.41/13.63  																																																	|
% 43.41/13.63  																																																	|-The branch is then unsatisfiable
% 43.41/13.63  																																																|-Branch two:
% 43.41/13.63  																																																| (428)  ~ (all_0_97_97 = e3)
% 43.41/13.63  																																																| (969) all_0_98_98 = e3
% 43.41/13.63  																																																|
% 43.41/13.63  																																																	| Equations (969) can reduce 1349 to:
% 43.41/13.63  																																																	| (169)  ~ (e3 = e2)
% 43.41/13.63  																																																	|
% 43.41/13.63  																																																	+-Applying beta-rule and splitting (1928), into two cases.
% 43.41/13.63  																																																	|-Branch one:
% 43.41/13.63  																																																	| (442) all_0_92_92 = e4
% 43.41/13.63  																																																	|
% 43.41/13.63  																																																		| Combining equations (442,836) yields a new equation:
% 43.41/13.63  																																																		| (813) e4 = e1
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Simplifying 813 yields:
% 43.41/13.63  																																																		| (814) e4 = e1
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Equations (814) can reduce 256 to:
% 43.41/13.63  																																																		| (311) $false
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		|-The branch is then unsatisfiable
% 43.41/13.63  																																																	|-Branch two:
% 43.41/13.63  																																																	| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.63  																																																	| (607) all_0_93_93 = e4
% 43.41/13.63  																																																	|
% 43.41/13.63  																																																		| From (607) and (21) follows:
% 43.41/13.63  																																																		| (11642) op(e1, e4) = all_0_76_76
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Instantiating formula (262) with e1, e4, all_0_76_76, e2 and discharging atoms op(e1, e4) = all_0_76_76, op(e1, e4) = e2, yields:
% 43.41/13.63  																																																		| (11652) all_0_76_76 = e2
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Instantiating formula (262) with e1, e4, e3, all_0_76_76 and discharging atoms op(e1, e4) = all_0_76_76, op(e1, e4) = e3, yields:
% 43.41/13.63  																																																		| (12777) all_0_76_76 = e3
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Combining equations (12777,11652) yields a new equation:
% 43.41/13.63  																																																		| (547) e3 = e2
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Simplifying 547 yields:
% 43.41/13.63  																																																		| (548) e3 = e2
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		| Equations (548) can reduce 169 to:
% 43.41/13.63  																																																		| (311) $false
% 43.41/13.63  																																																		|
% 43.41/13.63  																																																		|-The branch is then unsatisfiable
% 43.41/13.63  																																											|-Branch two:
% 43.41/13.63  																																											| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.63  																																											| (744) all_0_95_95 = e3
% 43.41/13.63  																																											|
% 43.41/13.63  																																												| Combining equations (744,785) yields a new equation:
% 43.41/13.63  																																												| (825) e3 = e1
% 43.41/13.63  																																												|
% 43.41/13.63  																																												| Simplifying 825 yields:
% 43.41/13.63  																																												| (772) e3 = e1
% 43.41/13.63  																																												|
% 43.41/13.63  																																												| Equations (772) can reduce 20 to:
% 43.41/13.63  																																												| (311) $false
% 43.41/13.63  																																												|
% 43.41/13.63  																																												|-The branch is then unsatisfiable
% 43.41/13.63  																																							|-Branch two:
% 43.41/13.63  																																							| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.63  																																							| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.63  																																							|
% 43.41/13.63  																																								+-Applying beta-rule and splitting (472), into two cases.
% 43.41/13.63  																																								|-Branch one:
% 43.41/13.63  																																								| (438) all_0_84_84 = e4
% 43.41/13.63  																																								|
% 43.41/13.63  																																									| Equations (438) can reduce 417 to:
% 43.41/13.63  																																									| (311) $false
% 43.41/13.63  																																									|
% 43.41/13.63  																																									|-The branch is then unsatisfiable
% 43.41/13.63  																																								|-Branch two:
% 43.41/13.63  																																								| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.63  																																								| (493) all_0_85_85 = e4
% 43.41/13.63  																																								|
% 43.41/13.63  																																									| Equations (493) can reduce 128 to:
% 43.41/13.63  																																									| (256)  ~ (e4 = e1)
% 43.41/13.63  																																									|
% 43.41/13.63  																																									+-Applying beta-rule and splitting (441), into two cases.
% 43.41/13.63  																																									|-Branch one:
% 43.41/13.63  																																									| (442) all_0_92_92 = e4
% 43.41/13.63  																																									|
% 43.41/13.63  																																										| Combining equations (836,442) yields a new equation:
% 43.41/13.63  																																										| (814) e4 = e1
% 43.41/13.63  																																										|
% 43.41/13.63  																																										| Equations (814) can reduce 256 to:
% 43.41/13.63  																																										| (311) $false
% 43.41/13.63  																																										|
% 43.41/13.63  																																										|-The branch is then unsatisfiable
% 43.41/13.63  																																									|-Branch two:
% 43.41/13.63  																																									| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.63  																																									| (610) all_0_97_97 = e4
% 43.41/13.63  																																									|
% 43.41/13.63  																																										| Equations (610) can reduce 319 to:
% 43.41/13.63  																																										| (311) $false
% 43.41/13.63  																																										|
% 43.41/13.63  																																										|-The branch is then unsatisfiable
% 43.41/13.63  																																				|-Branch two:
% 43.41/13.63  																																				| (840)  ~ (all_0_92_92 = e1)
% 43.41/13.63  																																				| (566) all_0_93_93 = e1
% 43.41/13.63  																																				|
% 43.41/13.63  																																					| Equations (566) can reduce 481 to:
% 43.41/13.63  																																					| (311) $false
% 43.41/13.63  																																					|
% 43.41/13.63  																																					|-The branch is then unsatisfiable
% 43.41/13.63  																													|-Branch two:
% 43.41/13.63  																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.41/13.63  																													|
% 43.41/13.63  																														| Applying alpha-rule on (590) yields:
% 43.41/13.63  																														| (591) all_0_64_64 = e2
% 43.41/13.63  																														| (592)  ~ (all_0_65_65 = e1)
% 43.41/13.63  																														|
% 43.41/13.63  																														| Combining equations (5547,591) yields a new equation:
% 43.41/13.63  																														| (379) e2 = e0
% 43.41/13.63  																														|
% 43.41/13.63  																														| Equations (379) can reduce 76 to:
% 43.41/13.63  																														| (311) $false
% 43.41/13.63  																														|
% 43.41/13.63  																														|-The branch is then unsatisfiable
% 43.41/13.63  																												|-Branch two:
% 43.41/13.63  																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.41/13.63  																												|
% 43.41/13.63  																													| Applying alpha-rule on (596) yields:
% 43.41/13.63  																													| (597) all_0_67_67 = e0
% 43.41/13.63  																													| (598)  ~ (all_0_68_68 = e1)
% 43.41/13.63  																													|
% 43.41/13.63  																													| From (597) and (252) follows:
% 43.41/13.64  																													| (8666) op(e1, all_0_97_97) = e0
% 43.41/13.64  																													|
% 43.41/13.64  																													+-Applying beta-rule and splitting (132), into two cases.
% 43.41/13.64  																													|-Branch one:
% 43.41/13.64  																													| (750) all_0_90_90 = e1
% 43.41/13.64  																													|
% 43.41/13.64  																														| Equations (750) can reduce 229 to:
% 43.41/13.64  																														| (679)  ~ (all_0_95_95 = e1)
% 43.41/13.64  																														|
% 43.41/13.64  																														| Simplifying 679 yields:
% 43.41/13.64  																														| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.64  																														|
% 43.41/13.64  																														| Equations (750) can reduce 294 to:
% 43.41/13.64  																														| (487)  ~ (e2 = e1)
% 43.41/13.64  																														|
% 43.41/13.64  																														| Simplifying 487 yields:
% 43.41/13.64  																														| (243)  ~ (e2 = e1)
% 43.41/13.64  																														|
% 43.41/13.64  																														+-Applying beta-rule and splitting (282), into two cases.
% 43.41/13.64  																														|-Branch one:
% 43.41/13.64  																														| (754) all_0_90_90 = e3
% 43.41/13.64  																														|
% 43.41/13.64  																															| Combining equations (750,754) yields a new equation:
% 43.41/13.64  																															| (772) e3 = e1
% 43.41/13.64  																															|
% 43.41/13.64  																															| Equations (772) can reduce 20 to:
% 43.41/13.64  																															| (311) $false
% 43.41/13.64  																															|
% 43.41/13.64  																															|-The branch is then unsatisfiable
% 43.41/13.64  																														|-Branch two:
% 43.41/13.64  																														| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.64  																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.41/13.64  																														|
% 43.41/13.64  																															| Equations (750) can reduce 745 to:
% 43.41/13.64  																															| (683)  ~ (e3 = e1)
% 43.41/13.64  																															|
% 43.41/13.64  																															| Simplifying 683 yields:
% 43.41/13.64  																															| (20)  ~ (e3 = e1)
% 43.41/13.64  																															|
% 43.41/13.64  																															+-Applying beta-rule and splitting (176), into two cases.
% 43.41/13.64  																															|-Branch one:
% 43.41/13.64  																															| (785) all_0_95_95 = e1
% 43.41/13.64  																															|
% 43.41/13.64  																																| Equations (785) can reduce 680 to:
% 43.41/13.64  																																| (311) $false
% 43.41/13.64  																																|
% 43.41/13.64  																																|-The branch is then unsatisfiable
% 43.41/13.64  																															|-Branch two:
% 43.41/13.64  																															| (680)  ~ (all_0_95_95 = e1)
% 43.41/13.64  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.64  																															|
% 43.41/13.64  																																+-Applying beta-rule and splitting (151), into two cases.
% 43.41/13.64  																																|-Branch one:
% 43.41/13.64  																																| (824) all_0_80_80 = e1
% 43.41/13.64  																																|
% 43.41/13.64  																																	| Combining equations (416,824) yields a new equation:
% 43.41/13.64  																																	| (825) e3 = e1
% 43.41/13.64  																																	|
% 43.41/13.64  																																	| Simplifying 825 yields:
% 43.41/13.64  																																	| (772) e3 = e1
% 43.41/13.64  																																	|
% 43.41/13.64  																																	| Equations (772) can reduce 20 to:
% 43.41/13.64  																																	| (311) $false
% 43.41/13.64  																																	|
% 43.41/13.64  																																	|-The branch is then unsatisfiable
% 43.41/13.64  																																|-Branch two:
% 43.41/13.64  																																| (828)  ~ (all_0_80_80 = e1)
% 43.41/13.64  																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.64  																																|
% 43.41/13.64  																																	| Equations (416) can reduce 828 to:
% 43.41/13.64  																																	| (20)  ~ (e3 = e1)
% 43.41/13.64  																																	|
% 43.41/13.64  																																	+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.64  																																	|-Branch one:
% 43.41/13.64  																																	| (771) all_0_78_78 = e3
% 43.41/13.64  																																	|
% 43.41/13.64  																																		| Combining equations (463,771) yields a new equation:
% 43.41/13.64  																																		| (790) e4 = e3
% 43.41/13.64  																																		|
% 43.41/13.64  																																		| Simplifying 790 yields:
% 43.41/13.64  																																		| (434) e4 = e3
% 43.41/13.64  																																		|
% 43.41/13.64  																																		| Equations (434) can reduce 177 to:
% 43.41/13.64  																																		| (311) $false
% 43.41/13.64  																																		|
% 43.41/13.64  																																		|-The branch is then unsatisfiable
% 43.41/13.64  																																	|-Branch two:
% 43.41/13.64  																																	| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.64  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.64  																																	|
% 43.41/13.64  																																		+-Applying beta-rule and splitting (99), into two cases.
% 43.41/13.64  																																		|-Branch one:
% 43.41/13.64  																																		| (767) all_0_95_95 = e2
% 43.41/13.64  																																		|
% 43.41/13.64  																																			| Equations (767) can reduce 355 to:
% 43.41/13.64  																																			| (311) $false
% 43.41/13.64  																																			|
% 43.41/13.64  																																			|-The branch is then unsatisfiable
% 43.41/13.64  																																		|-Branch two:
% 43.41/13.64  																																		| (355)  ~ (all_0_95_95 = e2)
% 43.41/13.64  																																		| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.41/13.64  																																		|
% 43.41/13.64  																																			+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.64  																																			|-Branch one:
% 43.41/13.64  																																			| (789) all_0_82_82 = e3
% 43.41/13.64  																																			|
% 43.41/13.64  																																				| Combining equations (530,789) yields a new equation:
% 43.41/13.64  																																				| (548) e3 = e2
% 43.41/13.64  																																				|
% 43.41/13.64  																																				| Equations (548) can reduce 169 to:
% 43.41/13.64  																																				| (311) $false
% 43.41/13.64  																																				|
% 43.41/13.64  																																				|-The branch is then unsatisfiable
% 43.41/13.64  																																			|-Branch two:
% 43.41/13.64  																																			| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.64  																																			| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.64  																																			|
% 43.41/13.64  																																				+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.64  																																				|-Branch one:
% 43.41/13.64  																																				| (754) all_0_90_90 = e3
% 43.41/13.64  																																				|
% 43.41/13.64  																																					| Combining equations (750,754) yields a new equation:
% 43.41/13.64  																																					| (772) e3 = e1
% 43.41/13.64  																																					|
% 43.41/13.64  																																					| Equations (772) can reduce 20 to:
% 43.41/13.64  																																					| (311) $false
% 43.41/13.64  																																					|
% 43.41/13.64  																																					|-The branch is then unsatisfiable
% 43.41/13.64  																																				|-Branch two:
% 43.41/13.64  																																				| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.64  																																				| (744) all_0_95_95 = e3
% 43.41/13.64  																																				|
% 43.41/13.64  																																					| Equations (744) can reduce 107 to:
% 43.41/13.64  																																					| (1518)  ~ (all_0_98_98 = e3)
% 43.41/13.64  																																					|
% 43.41/13.64  																																					| Simplifying 1518 yields:
% 43.41/13.64  																																					| (1519)  ~ (all_0_98_98 = e3)
% 43.41/13.64  																																					|
% 43.41/13.64  																																					| Equations (744) can reduce 355 to:
% 43.41/13.64  																																					| (169)  ~ (e3 = e2)
% 43.41/13.64  																																					|
% 43.41/13.64  																																					| From (744) and (976) follows:
% 43.41/13.64  																																					| (979) op(e3, e3) = e0
% 43.41/13.64  																																					|
% 43.41/13.64  																																					+-Applying beta-rule and splitting (250), into two cases.
% 43.41/13.64  																																					|-Branch one:
% 43.41/13.64  																																					| (635) all_0_81_81 = e3
% 43.41/13.64  																																					|
% 43.41/13.64  																																						| Combining equations (473,635) yields a new equation:
% 43.41/13.64  																																						| (548) e3 = e2
% 43.41/13.64  																																						|
% 43.41/13.64  																																						| Equations (548) can reduce 169 to:
% 43.41/13.64  																																						| (311) $false
% 43.41/13.64  																																						|
% 43.41/13.64  																																						|-The branch is then unsatisfiable
% 43.41/13.64  																																					|-Branch two:
% 43.41/13.64  																																					| (420)  ~ (all_0_81_81 = e3)
% 43.41/13.64  																																					| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.64  																																					|
% 43.41/13.64  																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.41/13.64  																																						|-Branch one:
% 43.41/13.64  																																						| (804) all_0_85_85 = e3
% 43.41/13.64  																																						|
% 43.41/13.64  																																							| Equations (804) can reduce 952 to:
% 43.41/13.64  																																							| (311) $false
% 43.41/13.64  																																							|
% 43.41/13.64  																																							|-The branch is then unsatisfiable
% 43.41/13.64  																																						|-Branch two:
% 43.41/13.64  																																						| (952)  ~ (all_0_85_85 = e3)
% 43.41/13.64  																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.64  																																						|
% 43.41/13.64  																																							+-Applying beta-rule and splitting (48), into two cases.
% 43.41/13.64  																																							|-Branch one:
% 43.41/13.64  																																							| (525) all_0_98_98 = e2
% 43.41/13.64  																																							|
% 43.41/13.64  																																								| Equations (525) can reduce 1349 to:
% 43.41/13.64  																																								| (311) $false
% 43.41/13.64  																																								|
% 43.41/13.64  																																								|-The branch is then unsatisfiable
% 43.41/13.64  																																							|-Branch two:
% 43.41/13.64  																																							| (1349)  ~ (all_0_98_98 = e2)
% 43.41/13.64  																																							| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 43.41/13.64  																																							|
% 43.41/13.64  																																								+-Applying beta-rule and splitting (829), into two cases.
% 43.41/13.64  																																								|-Branch one:
% 43.41/13.64  																																								| (482) all_0_87_87 = e1
% 43.41/13.64  																																								|
% 43.41/13.64  																																									| Combining equations (374,482) yields a new equation:
% 43.41/13.64  																																									| (408) e2 = e1
% 43.41/13.64  																																									|
% 43.41/13.64  																																									| Simplifying 408 yields:
% 43.41/13.64  																																									| (385) e2 = e1
% 43.41/13.64  																																									|
% 43.41/13.64  																																									| Equations (385) can reduce 243 to:
% 43.41/13.64  																																									| (311) $false
% 43.41/13.64  																																									|
% 43.41/13.64  																																									|-The branch is then unsatisfiable
% 43.41/13.64  																																								|-Branch two:
% 43.41/13.64  																																								| (625)  ~ (all_0_87_87 = e1)
% 43.41/13.64  																																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.41/13.64  																																								|
% 43.41/13.64  																																									| Equations (374) can reduce 625 to:
% 43.41/13.64  																																									| (243)  ~ (e2 = e1)
% 43.41/13.64  																																									|
% 43.41/13.64  																																									+-Applying beta-rule and splitting (788), into two cases.
% 43.41/13.64  																																									|-Branch one:
% 43.41/13.64  																																									| (960) all_0_96_96 = e1
% 43.41/13.64  																																									|
% 43.41/13.64  																																										| Combining equations (960,1704) yields a new equation:
% 43.41/13.64  																																										| (385) e2 = e1
% 43.41/13.64  																																										|
% 43.41/13.64  																																										| Equations (385) can reduce 243 to:
% 43.41/13.64  																																										| (311) $false
% 43.41/13.64  																																										|
% 43.41/13.64  																																										|-The branch is then unsatisfiable
% 43.41/13.64  																																									|-Branch two:
% 43.41/13.64  																																									| (1479)  ~ (all_0_96_96 = e1)
% 43.41/13.64  																																									| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.41/13.64  																																									|
% 43.41/13.64  																																										+-Applying beta-rule and splitting (4559), into two cases.
% 43.41/13.64  																																										|-Branch one:
% 43.41/13.64  																																										| (570) all_0_93_93 = e3
% 43.41/13.64  																																										|
% 43.41/13.64  																																											| Equations (570) can reduce 509 to:
% 43.41/13.64  																																											| (50)  ~ (e3 = e0)
% 43.41/13.64  																																											|
% 43.41/13.64  																																											+-Applying beta-rule and splitting (2126), into two cases.
% 43.41/13.64  																																											|-Branch one:
% 43.41/13.64  																																											| (542) all_0_97_97 = e1
% 43.41/13.64  																																											|
% 43.41/13.64  																																												| Equations (542) can reduce 195 to:
% 43.41/13.64  																																												| (259)  ~ (all_0_84_84 = e1)
% 43.41/13.64  																																												|
% 43.41/13.64  																																												+-Applying beta-rule and splitting (102), into two cases.
% 43.41/13.64  																																												|-Branch one:
% 43.41/13.64  																																												| (858) all_0_95_95 = e0
% 43.41/13.64  																																												|
% 43.41/13.64  																																													| Combining equations (858,744) yields a new equation:
% 43.41/13.64  																																													| (600) e3 = e0
% 43.41/13.64  																																													|
% 43.41/13.64  																																													| Equations (600) can reduce 50 to:
% 43.41/13.64  																																													| (311) $false
% 43.41/13.64  																																													|
% 43.41/13.64  																																													|-The branch is then unsatisfiable
% 43.41/13.64  																																												|-Branch two:
% 43.41/13.64  																																												| (893)  ~ (all_0_95_95 = e0)
% 43.41/13.64  																																												| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.41/13.64  																																												|
% 43.41/13.64  																																													| Equations (744) can reduce 893 to:
% 43.41/13.64  																																													| (50)  ~ (e3 = e0)
% 43.41/13.64  																																													|
% 43.41/13.64  																																													+-Applying beta-rule and splitting (2), into two cases.
% 43.41/13.64  																																													|-Branch one:
% 43.41/13.64  																																													| (916) all_0_84_84 = e0
% 43.41/13.64  																																													|
% 43.41/13.64  																																														| Equations (916) can reduce 154 to:
% 43.41/13.64  																																														| (799)  ~ (all_0_85_85 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														| Simplifying 799 yields:
% 43.41/13.64  																																														| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														| Equations (916) can reduce 422 to:
% 43.41/13.64  																																														| (906)  ~ (e3 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														| Simplifying 906 yields:
% 43.41/13.64  																																														| (50)  ~ (e3 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														| Equations (916) can reduce 259 to:
% 43.41/13.64  																																														| (859)  ~ (e1 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														| Simplifying 859 yields:
% 43.41/13.64  																																														| (264)  ~ (e1 = e0)
% 43.41/13.64  																																														|
% 43.41/13.64  																																														+-Applying beta-rule and splitting (289), into two cases.
% 43.41/13.64  																																														|-Branch one:
% 43.41/13.64  																																														| (954) all_0_85_85 = e0
% 43.41/13.64  																																														|
% 43.41/13.64  																																															| Equations (954) can reduce 800 to:
% 43.41/13.64  																																															| (311) $false
% 43.41/13.64  																																															|
% 43.41/13.64  																																															|-The branch is then unsatisfiable
% 43.41/13.64  																																														|-Branch two:
% 43.41/13.64  																																														| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.64  																																														| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.64  																																														|
% 43.41/13.64  																																															+-Applying beta-rule and splitting (1077), into two cases.
% 43.41/13.64  																																															|-Branch one:
% 43.41/13.64  																																															| (507) all_0_88_88 = e0
% 43.41/13.64  																																															|
% 43.41/13.64  																																																| Combining equations (504,507) yields a new equation:
% 43.41/13.64  																																																| (1107) e1 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																| Simplifying 1107 yields:
% 43.41/13.64  																																																| (865) e1 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																| Equations (865) can reduce 264 to:
% 43.41/13.64  																																																| (311) $false
% 43.41/13.64  																																																|
% 43.41/13.64  																																																|-The branch is then unsatisfiable
% 43.41/13.64  																																															|-Branch two:
% 43.41/13.64  																																															| (1110)  ~ (all_0_88_88 = e0)
% 43.41/13.64  																																															| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.64  																																															|
% 43.41/13.64  																																																+-Applying beta-rule and splitting (1111), into two cases.
% 43.41/13.64  																																																|-Branch one:
% 43.41/13.64  																																																| (604) all_0_93_93 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																	| Combining equations (604,570) yields a new equation:
% 43.41/13.64  																																																	| (600) e3 = e0
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Equations (600) can reduce 50 to:
% 43.41/13.64  																																																	| (311) $false
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	|-The branch is then unsatisfiable
% 43.41/13.64  																																																|-Branch two:
% 43.41/13.64  																																																| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.64  																																																| (1121) all_0_98_98 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																	| Equations (1121) can reduce 1349 to:
% 43.41/13.64  																																																	| (510)  ~ (e2 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Simplifying 510 yields:
% 43.41/13.64  																																																	| (76)  ~ (e2 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Instantiating formula (262) with e3, e3, e0, e2 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e0, yields:
% 43.41/13.64  																																																	| (379) e2 = e0
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Equations (379) can reduce 76 to:
% 43.41/13.64  																																																	| (311) $false
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	|-The branch is then unsatisfiable
% 43.41/13.64  																																													|-Branch two:
% 43.41/13.64  																																													| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.64  																																													| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.64  																																													|
% 43.41/13.64  																																														+-Applying beta-rule and splitting (249), into two cases.
% 43.41/13.64  																																														|-Branch one:
% 43.41/13.64  																																														| (910) all_0_82_82 = e0
% 43.41/13.64  																																														|
% 43.41/13.64  																																															| Combining equations (910,530) yields a new equation:
% 43.41/13.64  																																															| (379) e2 = e0
% 43.41/13.64  																																															|
% 43.41/13.64  																																															| Equations (379) can reduce 76 to:
% 43.41/13.64  																																															| (311) $false
% 43.41/13.64  																																															|
% 43.41/13.64  																																															|-The branch is then unsatisfiable
% 43.41/13.64  																																														|-Branch two:
% 43.41/13.64  																																														| (914)  ~ (all_0_82_82 = e0)
% 43.41/13.64  																																														| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.64  																																														|
% 43.41/13.64  																																															+-Applying beta-rule and splitting (1309), into two cases.
% 43.41/13.64  																																															|-Branch one:
% 43.41/13.64  																																															| (798) all_0_83_83 = e0
% 43.41/13.64  																																															|
% 43.41/13.64  																																																| Combining equations (798,795) yields a new equation:
% 43.41/13.64  																																																| (600) e3 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																| Equations (600) can reduce 50 to:
% 43.41/13.64  																																																| (311) $false
% 43.41/13.64  																																																|
% 43.41/13.64  																																																|-The branch is then unsatisfiable
% 43.41/13.64  																																															|-Branch two:
% 43.41/13.64  																																															| (1314)  ~ (all_0_83_83 = e0)
% 43.41/13.64  																																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.41/13.64  																																															|
% 43.41/13.64  																																																+-Applying beta-rule and splitting (1315), into two cases.
% 43.41/13.64  																																																|-Branch one:
% 43.41/13.64  																																																| (916) all_0_84_84 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																	| Equations (916) can reduce 919 to:
% 43.41/13.64  																																																	| (311) $false
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	|-The branch is then unsatisfiable
% 43.41/13.64  																																																|-Branch two:
% 43.41/13.64  																																																| (919)  ~ (all_0_84_84 = e0)
% 43.41/13.64  																																																| (954) all_0_85_85 = e0
% 43.41/13.64  																																																|
% 43.41/13.64  																																																	| Equations (954) can reduce 515 to:
% 43.41/13.64  																																																	| (510)  ~ (e2 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Simplifying 510 yields:
% 43.41/13.64  																																																	| (76)  ~ (e2 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Equations (954) can reduce 128 to:
% 43.41/13.64  																																																	| (859)  ~ (e1 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	| Simplifying 859 yields:
% 43.41/13.64  																																																	| (264)  ~ (e1 = e0)
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																	+-Applying beta-rule and splitting (920), into two cases.
% 43.41/13.64  																																																	|-Branch one:
% 43.41/13.64  																																																	| (861) all_0_87_87 = e0
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																		| Combining equations (374,861) yields a new equation:
% 43.41/13.64  																																																		| (923) e2 = e0
% 43.41/13.64  																																																		|
% 43.41/13.64  																																																		| Simplifying 923 yields:
% 43.41/13.64  																																																		| (379) e2 = e0
% 43.41/13.64  																																																		|
% 43.41/13.64  																																																		| Equations (379) can reduce 76 to:
% 43.41/13.64  																																																		| (311) $false
% 43.41/13.64  																																																		|
% 43.41/13.64  																																																		|-The branch is then unsatisfiable
% 43.41/13.64  																																																	|-Branch two:
% 43.41/13.64  																																																	| (889)  ~ (all_0_87_87 = e0)
% 43.41/13.64  																																																	| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.41/13.64  																																																	|
% 43.41/13.64  																																																		+-Applying beta-rule and splitting (931), into two cases.
% 43.41/13.64  																																																		|-Branch one:
% 43.41/13.64  																																																		| (942) all_0_92_92 = e0
% 43.41/13.64  																																																		|
% 43.41/13.64  																																																			| Equations (942) can reduce 946 to:
% 43.41/13.64  																																																			| (311) $false
% 43.41/13.64  																																																			|
% 43.41/13.64  																																																			|-The branch is then unsatisfiable
% 43.41/13.64  																																																		|-Branch two:
% 43.41/13.64  																																																		| (946)  ~ (all_0_92_92 = e0)
% 43.41/13.64  																																																		| (560) all_0_97_97 = e0
% 43.41/13.64  																																																		|
% 43.41/13.64  																																																			| Combining equations (542,560) yields a new equation:
% 43.41/13.64  																																																			| (1107) e1 = e0
% 43.41/13.64  																																																			|
% 43.41/13.64  																																																			| Simplifying 1107 yields:
% 43.41/13.64  																																																			| (865) e1 = e0
% 43.41/13.64  																																																			|
% 43.41/13.64  																																																			| Equations (865) can reduce 264 to:
% 43.41/13.64  																																																			| (311) $false
% 43.41/13.64  																																																			|
% 43.41/13.64  																																																			|-The branch is then unsatisfiable
% 43.41/13.64  																																											|-Branch two:
% 43.41/13.64  																																											| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.64  																																											| (1543) all_0_98_98 = e1
% 43.41/13.64  																																											|
% 43.41/13.64  																																												| Equations (1543) can reduce 1804 to:
% 43.41/13.64  																																												| (311) $false
% 43.41/13.64  																																												|
% 43.41/13.64  																																												|-The branch is then unsatisfiable
% 43.41/13.64  																																										|-Branch two:
% 43.41/13.64  																																										| (602)  ~ (all_0_93_93 = e3)
% 43.41/13.64  																																										| (969) all_0_98_98 = e3
% 43.41/13.64  																																										|
% 43.41/13.64  																																											| Equations (969) can reduce 1519 to:
% 43.41/13.64  																																											| (311) $false
% 43.41/13.64  																																											|
% 43.41/13.64  																																											|-The branch is then unsatisfiable
% 43.41/13.64  																													|-Branch two:
% 43.41/13.64  																													| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.64  																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.64  																													|
% 43.41/13.64  																														+-Applying beta-rule and splitting (1718), into two cases.
% 43.41/13.64  																														|-Branch one:
% 43.41/13.64  																														| (384) all_0_86_86 = e1
% 43.41/13.64  																														|
% 43.41/13.64  																															| Combining equations (378,384) yields a new equation:
% 43.41/13.64  																															| (865) e1 = e0
% 43.41/13.64  																															|
% 43.41/13.64  																															| Equations (865) can reduce 264 to:
% 43.41/13.64  																															| (311) $false
% 43.41/13.64  																															|
% 43.41/13.64  																															|-The branch is then unsatisfiable
% 43.41/13.64  																														|-Branch two:
% 43.41/13.64  																														| (387)  ~ (all_0_86_86 = e1)
% 43.41/13.64  																														| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.64  																														|
% 43.41/13.64  																															+-Applying beta-rule and splitting (2122), into two cases.
% 43.41/13.64  																															|-Branch one:
% 43.41/13.64  																															| (750) all_0_90_90 = e1
% 43.41/13.64  																															|
% 43.41/13.64  																																| Equations (750) can reduce 678 to:
% 43.41/13.64  																																| (311) $false
% 43.41/13.64  																																|
% 43.41/13.64  																																|-The branch is then unsatisfiable
% 43.41/13.64  																															|-Branch two:
% 43.41/13.64  																															| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.64  																															| (785) all_0_95_95 = e1
% 43.41/13.64  																															|
% 43.41/13.64  																																| Equations (785) can reduce 893 to:
% 43.41/13.64  																																| (264)  ~ (e1 = e0)
% 43.41/13.64  																																|
% 43.41/13.64  																																+-Applying beta-rule and splitting (270), into two cases.
% 43.41/13.64  																																|-Branch one:
% 43.41/13.64  																																| (744) all_0_95_95 = e3
% 43.41/13.64  																																|
% 43.41/13.64  																																	| Combining equations (785,744) yields a new equation:
% 43.41/13.64  																																	| (772) e3 = e1
% 43.41/13.64  																																	|
% 43.41/13.64  																																	| Equations (772) can reduce 20 to:
% 43.41/13.64  																																	| (311) $false
% 43.41/13.64  																																	|
% 43.41/13.64  																																	|-The branch is then unsatisfiable
% 43.41/13.64  																																|-Branch two:
% 43.41/13.64  																																| (765)  ~ (all_0_95_95 = e3)
% 43.41/13.64  																																| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.41/13.64  																																|
% 43.41/13.64  																																	+-Applying beta-rule and splitting (112), into two cases.
% 43.41/13.64  																																	|-Branch one:
% 43.41/13.64  																																	| (538) all_0_97_97 = e2
% 43.41/13.64  																																	|
% 43.41/13.64  																																		| Equations (538) can reduce 527 to:
% 43.41/13.64  																																		| (311) $false
% 43.41/13.64  																																		|
% 43.41/13.64  																																		|-The branch is then unsatisfiable
% 43.41/13.64  																																	|-Branch two:
% 43.41/13.64  																																	| (527)  ~ (all_0_97_97 = e2)
% 43.41/13.64  																																	| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 43.41/13.64  																																	|
% 43.41/13.64  																																		+-Applying beta-rule and splitting (1526), into two cases.
% 43.41/13.64  																																		|-Branch one:
% 43.41/13.64  																																		| (801) all_0_91_91 = e1
% 43.41/13.64  																																		|
% 43.41/13.64  																																			| Combining equations (1456,801) yields a new equation:
% 43.41/13.64  																																			| (865) e1 = e0
% 43.41/13.64  																																			|
% 43.41/13.64  																																			| Equations (865) can reduce 264 to:
% 43.41/13.64  																																			| (311) $false
% 43.41/13.64  																																			|
% 43.41/13.64  																																			|-The branch is then unsatisfiable
% 43.41/13.64  																																		|-Branch two:
% 43.41/13.64  																																		| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.64  																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.64  																																		|
% 43.41/13.64  																																			+-Applying beta-rule and splitting (1556), into two cases.
% 43.41/13.64  																																			|-Branch one:
% 43.41/13.64  																																			| (836) all_0_92_92 = e1
% 43.41/13.64  																																			|
% 43.41/13.64  																																				| Equations (836) can reduce 87 to:
% 43.41/13.64  																																				| (259)  ~ (all_0_84_84 = e1)
% 43.41/13.64  																																				|
% 43.41/13.64  																																				| Equations (836) can reduce 258 to:
% 43.41/13.64  																																				| (485)  ~ (all_0_97_97 = e1)
% 43.41/13.64  																																				|
% 43.41/13.64  																																				| Simplifying 485 yields:
% 43.41/13.64  																																				| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.64  																																				|
% 43.41/13.64  																																				| Equations (836) can reduce 426 to:
% 43.41/13.64  																																				| (683)  ~ (e3 = e1)
% 43.41/13.64  																																				|
% 43.41/13.64  																																				| Simplifying 683 yields:
% 43.41/13.64  																																				| (20)  ~ (e3 = e1)
% 43.41/13.64  																																				|
% 43.41/13.64  																																				+-Applying beta-rule and splitting (210), into two cases.
% 43.41/13.64  																																				|-Branch one:
% 43.41/13.64  																																				| (433) all_0_80_80 = e4
% 43.41/13.64  																																				|
% 43.41/13.64  																																					| Combining equations (416,433) yields a new equation:
% 43.41/13.64  																																					| (434) e4 = e3
% 43.41/13.64  																																					|
% 43.41/13.64  																																					| Equations (434) can reduce 177 to:
% 43.41/13.64  																																					| (311) $false
% 43.41/13.64  																																					|
% 43.41/13.64  																																					|-The branch is then unsatisfiable
% 43.41/13.64  																																				|-Branch two:
% 43.41/13.64  																																				| (436)  ~ (all_0_80_80 = e4)
% 43.41/13.64  																																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.64  																																				|
% 43.41/13.64  																																					+-Applying beta-rule and splitting (46), into two cases.
% 43.41/13.64  																																					|-Branch one:
% 43.41/13.64  																																					| (308) all_0_89_89 = e4
% 43.41/13.64  																																					|
% 43.41/13.64  																																						| Combining equations (292,308) yields a new equation:
% 43.41/13.64  																																						| (310) e4 = e2
% 43.41/13.64  																																						|
% 43.41/13.64  																																						| Equations (310) can reduce 79 to:
% 43.41/13.64  																																						| (311) $false
% 43.41/13.64  																																						|
% 43.41/13.64  																																						|-The branch is then unsatisfiable
% 43.41/13.64  																																					|-Branch two:
% 43.41/13.64  																																					| (312)  ~ (all_0_89_89 = e4)
% 43.41/13.64  																																					| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.41/13.64  																																					|
% 43.41/13.64  																																						+-Applying beta-rule and splitting (437), into two cases.
% 43.41/13.64  																																						|-Branch one:
% 43.41/13.64  																																						| (438) all_0_84_84 = e4
% 43.41/13.64  																																						|
% 43.41/13.65  																																							| Equations (438) can reduce 195 to:
% 43.41/13.65  																																							| (318)  ~ (all_0_97_97 = e4)
% 43.41/13.65  																																							|
% 43.41/13.65  																																							| Simplifying 318 yields:
% 43.41/13.65  																																							| (319)  ~ (all_0_97_97 = e4)
% 43.41/13.65  																																							|
% 43.41/13.65  																																							| Equations (438) can reduce 422 to:
% 43.41/13.65  																																							| (177)  ~ (e4 = e3)
% 43.41/13.65  																																							|
% 43.41/13.65  																																							| Equations (438) can reduce 259 to:
% 43.41/13.65  																																							| (256)  ~ (e4 = e1)
% 43.41/13.65  																																							|
% 43.41/13.65  																																							+-Applying beta-rule and splitting (541), into two cases.
% 43.41/13.65  																																							|-Branch one:
% 43.41/13.65  																																							| (542) all_0_97_97 = e1
% 43.41/13.65  																																							|
% 43.41/13.65  																																								| Equations (542) can reduce 486 to:
% 43.41/13.65  																																								| (311) $false
% 43.41/13.65  																																								|
% 43.41/13.65  																																								|-The branch is then unsatisfiable
% 43.41/13.65  																																							|-Branch two:
% 43.41/13.65  																																							| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.65  																																							| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 43.41/13.65  																																							|
% 43.41/13.65  																																								+-Applying beta-rule and splitting (220), into two cases.
% 43.41/13.65  																																								|-Branch one:
% 43.41/13.65  																																								| (771) all_0_78_78 = e3
% 43.41/13.65  																																								|
% 43.41/13.65  																																									| Combining equations (463,771) yields a new equation:
% 43.41/13.65  																																									| (790) e4 = e3
% 43.41/13.65  																																									|
% 43.41/13.65  																																									| Simplifying 790 yields:
% 43.41/13.65  																																									| (434) e4 = e3
% 43.41/13.65  																																									|
% 43.41/13.65  																																									| Equations (434) can reduce 177 to:
% 43.41/13.65  																																									| (311) $false
% 43.41/13.65  																																									|
% 43.41/13.65  																																									|-The branch is then unsatisfiable
% 43.41/13.65  																																								|-Branch two:
% 43.41/13.65  																																								| (418)  ~ (all_0_78_78 = e3)
% 43.41/13.65  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.65  																																								|
% 43.41/13.65  																																									+-Applying beta-rule and splitting (27), into two cases.
% 43.41/13.65  																																									|-Branch one:
% 43.41/13.65  																																									| (746) all_0_90_90 = e2
% 43.41/13.65  																																									|
% 43.41/13.65  																																										| Equations (746) can reduce 294 to:
% 43.41/13.65  																																										| (311) $false
% 43.41/13.65  																																										|
% 43.41/13.65  																																										|-The branch is then unsatisfiable
% 43.41/13.65  																																									|-Branch two:
% 43.41/13.65  																																									| (294)  ~ (all_0_90_90 = e2)
% 43.41/13.65  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.41/13.65  																																									|
% 43.41/13.65  																																										+-Applying beta-rule and splitting (775), into two cases.
% 43.41/13.65  																																										|-Branch one:
% 43.41/13.65  																																										| (789) all_0_82_82 = e3
% 43.41/13.65  																																										|
% 43.41/13.65  																																											| Combining equations (789,530) yields a new equation:
% 43.41/13.65  																																											| (547) e3 = e2
% 43.41/13.65  																																											|
% 43.41/13.65  																																											| Simplifying 547 yields:
% 43.41/13.65  																																											| (548) e3 = e2
% 43.41/13.65  																																											|
% 43.41/13.65  																																											| Equations (548) can reduce 169 to:
% 43.41/13.65  																																											| (311) $false
% 43.41/13.65  																																											|
% 43.41/13.65  																																											|-The branch is then unsatisfiable
% 43.41/13.65  																																										|-Branch two:
% 43.41/13.65  																																										| (793)  ~ (all_0_82_82 = e3)
% 43.41/13.65  																																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.41/13.65  																																										|
% 43.41/13.65  																																											+-Applying beta-rule and splitting (794), into two cases.
% 43.41/13.65  																																											|-Branch one:
% 43.41/13.65  																																											| (754) all_0_90_90 = e3
% 43.41/13.65  																																											|
% 43.41/13.65  																																												| Equations (754) can reduce 467 to:
% 43.41/13.65  																																												| (783)  ~ (e4 = e3)
% 43.41/13.65  																																												|
% 43.41/13.65  																																												| Simplifying 783 yields:
% 43.41/13.65  																																												| (177)  ~ (e4 = e3)
% 43.41/13.65  																																												|
% 43.41/13.65  																																												| Equations (754) can reduce 294 to:
% 43.41/13.65  																																												| (169)  ~ (e3 = e2)
% 43.41/13.65  																																												|
% 43.41/13.65  																																												+-Applying beta-rule and splitting (250), into two cases.
% 43.41/13.65  																																												|-Branch one:
% 43.41/13.65  																																												| (635) all_0_81_81 = e3
% 43.41/13.65  																																												|
% 43.41/13.65  																																													| Combining equations (473,635) yields a new equation:
% 43.41/13.65  																																													| (548) e3 = e2
% 43.41/13.65  																																													|
% 43.41/13.65  																																													| Equations (548) can reduce 169 to:
% 43.41/13.65  																																													| (311) $false
% 43.41/13.65  																																													|
% 43.41/13.65  																																													|-The branch is then unsatisfiable
% 43.41/13.65  																																												|-Branch two:
% 43.41/13.65  																																												| (420)  ~ (all_0_81_81 = e3)
% 43.41/13.65  																																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.41/13.65  																																												|
% 43.41/13.65  																																													| Equations (473) can reduce 420 to:
% 43.41/13.65  																																													| (356)  ~ (e3 = e2)
% 43.41/13.65  																																													|
% 43.41/13.65  																																													| Simplifying 356 yields:
% 43.41/13.65  																																													| (169)  ~ (e3 = e2)
% 43.41/13.65  																																													|
% 43.41/13.65  																																													+-Applying beta-rule and splitting (766), into two cases.
% 43.41/13.65  																																													|-Branch one:
% 43.41/13.65  																																													| (778) all_0_96_96 = e3
% 43.41/13.65  																																													|
% 43.41/13.65  																																														| Combining equations (1704,778) yields a new equation:
% 43.41/13.65  																																														| (548) e3 = e2
% 43.41/13.65  																																														|
% 43.41/13.65  																																														| Equations (548) can reduce 169 to:
% 43.41/13.65  																																														| (311) $false
% 43.41/13.65  																																														|
% 43.41/13.65  																																														|-The branch is then unsatisfiable
% 43.41/13.65  																																													|-Branch two:
% 43.41/13.65  																																													| (964)  ~ (all_0_96_96 = e3)
% 43.41/13.65  																																													| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.41/13.65  																																													|
% 43.41/13.65  																																														+-Applying beta-rule and splitting (1915), into two cases.
% 43.41/13.65  																																														|-Branch one:
% 43.41/13.65  																																														| (583) all_0_90_90 = e4
% 43.41/13.65  																																														|
% 43.41/13.65  																																															| Combining equations (754,583) yields a new equation:
% 43.41/13.65  																																															| (434) e4 = e3
% 43.41/13.65  																																															|
% 43.41/13.65  																																															| Equations (434) can reduce 177 to:
% 43.41/13.65  																																															| (311) $false
% 43.41/13.65  																																															|
% 43.41/13.65  																																															|-The branch is then unsatisfiable
% 43.41/13.65  																																														|-Branch two:
% 43.41/13.65  																																														| (467)  ~ (all_0_90_90 = e4)
% 43.41/13.65  																																														| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.41/13.65  																																														|
% 43.41/13.65  																																															+-Applying beta-rule and splitting (965), into two cases.
% 43.41/13.65  																																															|-Branch one:
% 43.41/13.65  																																															| (556) all_0_97_97 = e3
% 43.41/13.65  																																															|
% 43.41/13.65  																																																| Equations (556) can reduce 428 to:
% 43.41/13.65  																																																| (311) $false
% 43.41/13.65  																																																|
% 43.41/13.65  																																																|-The branch is then unsatisfiable
% 43.41/13.65  																																															|-Branch two:
% 43.41/13.65  																																															| (428)  ~ (all_0_97_97 = e3)
% 43.41/13.65  																																															| (969) all_0_98_98 = e3
% 43.41/13.65  																																															|
% 43.41/13.65  																																																| Equations (969) can reduce 148 to:
% 43.41/13.65  																																																| (428)  ~ (all_0_97_97 = e3)
% 43.41/13.65  																																																|
% 43.41/13.65  																																																+-Applying beta-rule and splitting (1928), into two cases.
% 43.41/13.65  																																																|-Branch one:
% 43.41/13.65  																																																| (442) all_0_92_92 = e4
% 43.41/13.65  																																																|
% 43.41/13.65  																																																	| Combining equations (442,836) yields a new equation:
% 43.41/13.65  																																																	| (813) e4 = e1
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																	| Simplifying 813 yields:
% 43.41/13.65  																																																	| (814) e4 = e1
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																	| Equations (814) can reduce 256 to:
% 43.41/13.65  																																																	| (311) $false
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																	|-The branch is then unsatisfiable
% 43.41/13.65  																																																|-Branch two:
% 43.41/13.65  																																																| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.65  																																																| (607) all_0_93_93 = e4
% 43.41/13.65  																																																|
% 43.41/13.65  																																																	| From (607) and (231) follows:
% 43.41/13.65  																																																	| (13057) op(e1, e0) = e4
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																	+-Applying beta-rule and splitting (545), into two cases.
% 43.41/13.65  																																																	|-Branch one:
% 43.41/13.65  																																																	| (556) all_0_97_97 = e3
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																		| Equations (556) can reduce 428 to:
% 43.41/13.65  																																																		| (311) $false
% 43.41/13.65  																																																		|
% 43.41/13.65  																																																		|-The branch is then unsatisfiable
% 43.41/13.65  																																																	|-Branch two:
% 43.41/13.65  																																																	| (428)  ~ (all_0_97_97 = e3)
% 43.41/13.65  																																																	| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 43.41/13.65  																																																	|
% 43.41/13.65  																																																		+-Applying beta-rule and splitting (559), into two cases.
% 43.41/13.65  																																																		|-Branch one:
% 43.41/13.65  																																																		| (560) all_0_97_97 = e0
% 43.41/13.65  																																																		|
% 43.41/13.65  																																																			| Equations (560) can reduce 319 to:
% 43.41/13.65  																																																			| (904)  ~ (e4 = e0)
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			| Simplifying 904 yields:
% 43.41/13.65  																																																			| (23)  ~ (e4 = e0)
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			| From (560) and (8666) follows:
% 43.41/13.65  																																																			| (4745) op(e1, e0) = e0
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			| Instantiating formula (262) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields:
% 43.41/13.65  																																																			| (912) e4 = e0
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			| Equations (912) can reduce 23 to:
% 43.41/13.65  																																																			| (311) $false
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			|-The branch is then unsatisfiable
% 43.41/13.65  																																																		|-Branch two:
% 43.41/13.65  																																																		| (609)  ~ (all_0_97_97 = e0)
% 43.41/13.65  																																																		| (610) all_0_97_97 = e4
% 43.41/13.65  																																																		|
% 43.41/13.65  																																																			| Equations (610) can reduce 319 to:
% 43.41/13.65  																																																			| (311) $false
% 43.41/13.65  																																																			|
% 43.41/13.65  																																																			|-The branch is then unsatisfiable
% 43.41/13.65  																																											|-Branch two:
% 43.41/13.65  																																											| (745)  ~ (all_0_90_90 = e3)
% 43.41/13.65  																																											| (744) all_0_95_95 = e3
% 43.41/13.65  																																											|
% 43.41/13.65  																																												| Combining equations (744,785) yields a new equation:
% 43.41/13.65  																																												| (825) e3 = e1
% 43.41/13.65  																																												|
% 43.41/13.65  																																												| Simplifying 825 yields:
% 43.41/13.65  																																												| (772) e3 = e1
% 43.41/13.65  																																												|
% 43.41/13.65  																																												| Equations (772) can reduce 20 to:
% 43.41/13.65  																																												| (311) $false
% 43.41/13.65  																																												|
% 43.41/13.65  																																												|-The branch is then unsatisfiable
% 43.41/13.65  																																						|-Branch two:
% 43.41/13.65  																																						| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																																						| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.41/13.65  																																						|
% 43.41/13.65  																																							+-Applying beta-rule and splitting (472), into two cases.
% 43.41/13.65  																																							|-Branch one:
% 43.41/13.65  																																							| (438) all_0_84_84 = e4
% 43.41/13.65  																																							|
% 43.41/13.65  																																								| Equations (438) can reduce 417 to:
% 43.41/13.65  																																								| (311) $false
% 43.41/13.65  																																								|
% 43.41/13.65  																																								|-The branch is then unsatisfiable
% 43.41/13.65  																																							|-Branch two:
% 43.41/13.65  																																							| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																																							| (493) all_0_85_85 = e4
% 43.41/13.65  																																							|
% 43.41/13.65  																																								| Equations (493) can reduce 128 to:
% 43.41/13.65  																																								| (256)  ~ (e4 = e1)
% 43.41/13.65  																																								|
% 43.41/13.65  																																								+-Applying beta-rule and splitting (441), into two cases.
% 43.41/13.65  																																								|-Branch one:
% 43.41/13.65  																																								| (442) all_0_92_92 = e4
% 43.41/13.65  																																								|
% 43.41/13.65  																																									| Combining equations (836,442) yields a new equation:
% 43.41/13.65  																																									| (814) e4 = e1
% 43.41/13.65  																																									|
% 43.41/13.65  																																									| Equations (814) can reduce 256 to:
% 43.41/13.65  																																									| (311) $false
% 43.41/13.65  																																									|
% 43.41/13.65  																																									|-The branch is then unsatisfiable
% 43.41/13.65  																																								|-Branch two:
% 43.41/13.65  																																								| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.65  																																								| (610) all_0_97_97 = e4
% 43.41/13.65  																																								|
% 43.41/13.65  																																									| Equations (610) can reduce 319 to:
% 43.41/13.65  																																									| (311) $false
% 43.41/13.65  																																									|
% 43.41/13.65  																																									|-The branch is then unsatisfiable
% 43.41/13.65  																																			|-Branch two:
% 43.41/13.65  																																			| (840)  ~ (all_0_92_92 = e1)
% 43.41/13.65  																																			| (566) all_0_93_93 = e1
% 43.41/13.65  																																			|
% 43.41/13.65  																																				| Equations (566) can reduce 481 to:
% 43.41/13.65  																																				| (311) $false
% 43.41/13.65  																																				|
% 43.41/13.65  																																				|-The branch is then unsatisfiable
% 43.41/13.65  																								|-Branch two:
% 43.41/13.65  																								| (2347)  ~ (all_0_80_80 = e3)
% 43.41/13.65  																								| (433) all_0_80_80 = e4
% 43.41/13.65  																								|
% 43.41/13.65  																									| Equations (433) can reduce 436 to:
% 43.41/13.65  																									| (311) $false
% 43.41/13.65  																									|
% 43.41/13.65  																									|-The branch is then unsatisfiable
% 43.41/13.65  																					|-Branch two:
% 43.41/13.65  																					| (640)  ~ (all_0_78_78 = e4)
% 43.41/13.65  																					| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.41/13.65  																					|
% 43.41/13.65  																						+-Applying beta-rule and splitting (24), into two cases.
% 43.41/13.65  																						|-Branch one:
% 43.41/13.65  																						| (400) all_0_78_78 = e2
% 43.41/13.65  																						|
% 43.41/13.65  																							| Equations (400) can reduce 346 to:
% 43.41/13.65  																							| (311) $false
% 43.41/13.65  																							|
% 43.41/13.65  																							|-The branch is then unsatisfiable
% 43.41/13.65  																						|-Branch two:
% 43.41/13.65  																						| (346)  ~ (all_0_78_78 = e2)
% 43.41/13.65  																						| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 43.41/13.65  																						|
% 43.41/13.65  																							+-Applying beta-rule and splitting (641), into two cases.
% 43.41/13.65  																							|-Branch one:
% 43.41/13.65  																							| (433) all_0_80_80 = e4
% 43.41/13.65  																							|
% 43.41/13.65  																								| Equations (433) can reduce 273 to:
% 43.41/13.65  																								| (662)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Simplifying 662 yields:
% 43.41/13.65  																								| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Equations (433) can reduce 49 to:
% 43.41/13.65  																								| (1906)  ~ (all_0_92_92 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Simplifying 1906 yields:
% 43.41/13.65  																								| (1619)  ~ (all_0_92_92 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Equations (433) can reduce 202 to:
% 43.41/13.65  																								| (318)  ~ (all_0_97_97 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Simplifying 318 yields:
% 43.41/13.65  																								| (319)  ~ (all_0_97_97 = e4)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Equations (433) can reduce 394 to:
% 43.41/13.65  																								| (79)  ~ (e4 = e2)
% 43.41/13.65  																								|
% 43.41/13.65  																								| Equations (433) can reduce 166 to:
% 43.41/13.65  																								| (23)  ~ (e4 = e0)
% 43.41/13.65  																								|
% 43.41/13.65  																								| From (433) and (233) follows:
% 43.41/13.65  																								| (4027) op(e1, e4) = all_0_60_60
% 43.41/13.65  																								|
% 43.41/13.65  																								+-Applying beta-rule and splitting (109), into two cases.
% 43.41/13.65  																								|-Branch one:
% 43.41/13.65  																								| (469) all_0_82_82 = e4
% 43.41/13.65  																								|
% 43.41/13.65  																									| Combining equations (530,469) yields a new equation:
% 43.41/13.65  																									| (310) e4 = e2
% 43.41/13.65  																									|
% 43.41/13.65  																									| Equations (310) can reduce 79 to:
% 43.41/13.65  																									| (311) $false
% 43.41/13.65  																									|
% 43.41/13.65  																									|-The branch is then unsatisfiable
% 43.41/13.65  																								|-Branch two:
% 43.41/13.65  																								| (465)  ~ (all_0_82_82 = e4)
% 43.41/13.65  																								| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.41/13.65  																								|
% 43.41/13.65  																									+-Applying beta-rule and splitting (472), into two cases.
% 43.41/13.65  																									|-Branch one:
% 43.41/13.65  																									| (438) all_0_84_84 = e4
% 43.41/13.65  																									|
% 43.41/13.65  																										| Equations (438) can reduce 417 to:
% 43.41/13.65  																										| (311) $false
% 43.41/13.65  																										|
% 43.41/13.65  																										|-The branch is then unsatisfiable
% 43.41/13.65  																									|-Branch two:
% 43.41/13.65  																									| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																									| (493) all_0_85_85 = e4
% 43.41/13.65  																									|
% 43.41/13.65  																										| Equations (493) can reduce 154 to:
% 43.41/13.65  																										| (417)  ~ (all_0_84_84 = e4)
% 43.41/13.65  																										|
% 43.41/13.65  																										| Equations (493) can reduce 201 to:
% 43.41/13.65  																										| (495)  ~ (all_0_93_93 = e4)
% 43.41/13.65  																										|
% 43.41/13.65  																										| Simplifying 495 yields:
% 43.41/13.65  																										| (496)  ~ (all_0_93_93 = e4)
% 43.41/13.65  																										|
% 43.41/13.65  																										| Equations (493) can reduce 515 to:
% 43.41/13.65  																										| (79)  ~ (e4 = e2)
% 43.41/13.65  																										|
% 43.41/13.65  																										| Equations (493) can reduce 128 to:
% 43.41/13.65  																										| (256)  ~ (e4 = e1)
% 43.41/13.65  																										|
% 43.41/13.65  																										| From (493) and (197) follows:
% 43.41/13.65  																										| (4405) op(e3, e4) = all_0_72_72
% 43.41/13.65  																										|
% 43.41/13.65  																										| From (493) and (8) follows:
% 43.41/13.65  																										| (4406) op(e3, e0) = e4
% 43.41/13.65  																										|
% 43.41/13.65  																										+-Applying beta-rule and splitting (92), into two cases.
% 43.41/13.65  																										|-Branch one:
% 43.41/13.65  																										| (552) all_0_84_84 = e2
% 43.41/13.65  																										|
% 43.41/13.65  																											| Equations (552) can reduce 612 to:
% 43.41/13.65  																											| (311) $false
% 43.41/13.65  																											|
% 43.41/13.65  																											|-The branch is then unsatisfiable
% 43.41/13.65  																										|-Branch two:
% 43.41/13.65  																										| (612)  ~ (all_0_84_84 = e2)
% 43.41/13.65  																										| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.41/13.65  																										|
% 43.41/13.65  																											+-Applying beta-rule and splitting (46), into two cases.
% 43.41/13.65  																											|-Branch one:
% 43.41/13.65  																											| (308) all_0_89_89 = e4
% 43.41/13.65  																											|
% 43.41/13.65  																												| Combining equations (292,308) yields a new equation:
% 43.41/13.65  																												| (310) e4 = e2
% 43.41/13.65  																												|
% 43.41/13.65  																												| Equations (310) can reduce 79 to:
% 43.41/13.65  																												| (311) $false
% 43.41/13.65  																												|
% 43.41/13.65  																												|-The branch is then unsatisfiable
% 43.41/13.65  																											|-Branch two:
% 43.41/13.65  																											| (312)  ~ (all_0_89_89 = e4)
% 43.41/13.65  																											| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.41/13.65  																											|
% 43.41/13.65  																												+-Applying beta-rule and splitting (289), into two cases.
% 43.41/13.65  																												|-Branch one:
% 43.41/13.65  																												| (954) all_0_85_85 = e0
% 43.41/13.65  																												|
% 43.41/13.65  																													| Combining equations (493,954) yields a new equation:
% 43.41/13.65  																													| (911) e4 = e0
% 43.41/13.65  																													|
% 43.41/13.65  																													| Simplifying 911 yields:
% 43.41/13.65  																													| (912) e4 = e0
% 43.41/13.65  																													|
% 43.41/13.65  																													| Equations (912) can reduce 23 to:
% 43.41/13.65  																													| (311) $false
% 43.41/13.65  																													|
% 43.41/13.65  																													|-The branch is then unsatisfiable
% 43.41/13.65  																												|-Branch two:
% 43.41/13.65  																												| (800)  ~ (all_0_85_85 = e0)
% 43.41/13.65  																												| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.65  																												|
% 43.41/13.65  																													+-Applying beta-rule and splitting (675), into two cases.
% 43.41/13.65  																													|-Branch one:
% 43.41/13.65  																													| (676) all_0_78_78 = e1
% 43.41/13.65  																													|
% 43.41/13.65  																														| Equations (676) can reduce 1601 to:
% 43.41/13.65  																														| (311) $false
% 43.41/13.65  																														|
% 43.41/13.65  																														|-The branch is then unsatisfiable
% 43.41/13.65  																													|-Branch two:
% 43.41/13.65  																													| (1601)  ~ (all_0_78_78 = e1)
% 43.41/13.65  																													| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 43.41/13.65  																													|
% 43.41/13.65  																														+-Applying beta-rule and splitting (1915), into two cases.
% 43.41/13.65  																														|-Branch one:
% 43.41/13.65  																														| (583) all_0_90_90 = e4
% 43.41/13.65  																														|
% 43.41/13.65  																															| Equations (583) can reduce 85 to:
% 43.41/13.65  																															| (640)  ~ (all_0_78_78 = e4)
% 43.41/13.65  																															|
% 43.41/13.65  																															| Equations (583) can reduce 34 to:
% 43.41/13.65  																															| (495)  ~ (all_0_93_93 = e4)
% 43.41/13.65  																															|
% 43.41/13.65  																															| Simplifying 495 yields:
% 43.41/13.65  																															| (496)  ~ (all_0_93_93 = e4)
% 43.41/13.65  																															|
% 43.41/13.65  																															| From (583) and (217) follows:
% 43.41/13.65  																															| (10484) op(e3, e4) = all_0_48_48
% 43.41/13.65  																															|
% 43.41/13.65  																															| From (583) and (35) follows:
% 43.41/13.65  																															| (10485) op(e1, e4) = all_0_49_49
% 43.41/13.65  																															|
% 43.41/13.65  																															| From (583) and (218) follows:
% 43.41/13.65  																															| (4391) op(e1, e3) = e4
% 43.41/13.65  																															|
% 43.41/13.65  																															+-Applying beta-rule and splitting (188), into two cases.
% 43.41/13.65  																															|-Branch one:
% 43.41/13.65  																															| (676) all_0_78_78 = e1
% 43.41/13.65  																															|
% 43.41/13.65  																																| Equations (676) can reduce 1601 to:
% 43.41/13.65  																																| (311) $false
% 43.41/13.65  																																|
% 43.41/13.65  																																|-The branch is then unsatisfiable
% 43.41/13.65  																															|-Branch two:
% 43.41/13.65  																															| (1601)  ~ (all_0_78_78 = e1)
% 43.41/13.65  																															| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.65  																															|
% 43.41/13.65  																																+-Applying beta-rule and splitting (1606), into two cases.
% 43.41/13.65  																																|-Branch one:
% 43.41/13.65  																																| (771) all_0_78_78 = e3
% 43.41/13.65  																																|
% 43.41/13.65  																																	| From (771) and (104) follows:
% 43.41/13.65  																																	| (13158) op(e4, e3) = all_0_44_44
% 43.41/13.65  																																	|
% 43.41/13.65  																																	| From (771) and (263) follows:
% 43.41/13.65  																																	| (3281) op(e4, e3) = e3
% 43.41/13.65  																																	|
% 43.41/13.65  																																	+-Applying beta-rule and splitting (132), into two cases.
% 43.41/13.65  																																	|-Branch one:
% 43.41/13.65  																																	| (750) all_0_90_90 = e1
% 43.41/13.65  																																	|
% 43.41/13.66  																																		| Combining equations (750,583) yields a new equation:
% 43.41/13.66  																																		| (814) e4 = e1
% 43.41/13.66  																																		|
% 43.41/13.66  																																		| Equations (814) can reduce 256 to:
% 43.41/13.66  																																		| (311) $false
% 43.41/13.66  																																		|
% 43.41/13.66  																																		|-The branch is then unsatisfiable
% 43.41/13.66  																																	|-Branch two:
% 43.41/13.66  																																	| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.66  																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.66  																																	|
% 43.41/13.66  																																		| Equations (583) can reduce 678 to:
% 43.41/13.66  																																		| (256)  ~ (e4 = e1)
% 43.41/13.66  																																		|
% 43.41/13.66  																																		+-Applying beta-rule and splitting (1077), into two cases.
% 43.41/13.66  																																		|-Branch one:
% 43.41/13.66  																																		| (507) all_0_88_88 = e0
% 43.41/13.66  																																		|
% 43.41/13.66  																																			| Combining equations (507,504) yields a new equation:
% 43.41/13.66  																																			| (865) e1 = e0
% 43.41/13.66  																																			|
% 43.41/13.66  																																			| Equations (865) can reduce 264 to:
% 43.41/13.66  																																			| (311) $false
% 43.41/13.66  																																			|
% 43.41/13.66  																																			|-The branch is then unsatisfiable
% 43.41/13.66  																																		|-Branch two:
% 43.41/13.66  																																		| (1110)  ~ (all_0_88_88 = e0)
% 43.41/13.66  																																		| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 43.41/13.66  																																		|
% 43.41/13.66  																																			| Equations (504) can reduce 1110 to:
% 43.41/13.66  																																			| (264)  ~ (e1 = e0)
% 43.41/13.66  																																			|
% 43.41/13.66  																																			+-Applying beta-rule and splitting (65), into two cases.
% 43.41/13.66  																																			|-Branch one:
% 43.41/13.66  																																			| (522) all_0_93_93 = e2
% 43.41/13.66  																																			|
% 43.41/13.66  																																				| Equations (522) can reduce 300 to:
% 43.41/13.66  																																				| (311) $false
% 43.41/13.66  																																				|
% 43.41/13.66  																																				|-The branch is then unsatisfiable
% 43.41/13.66  																																			|-Branch two:
% 43.41/13.66  																																			| (300)  ~ (all_0_93_93 = e2)
% 43.41/13.66  																																			| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 43.41/13.66  																																			|
% 43.41/13.66  																																				+-Applying beta-rule and splitting (1718), into two cases.
% 43.41/13.66  																																				|-Branch one:
% 43.41/13.66  																																				| (384) all_0_86_86 = e1
% 43.41/13.66  																																				|
% 43.41/13.66  																																					| Combining equations (378,384) yields a new equation:
% 43.41/13.66  																																					| (865) e1 = e0
% 43.41/13.66  																																					|
% 43.41/13.66  																																					| Equations (865) can reduce 264 to:
% 43.41/13.66  																																					| (311) $false
% 43.41/13.66  																																					|
% 43.41/13.66  																																					|-The branch is then unsatisfiable
% 43.41/13.66  																																				|-Branch two:
% 43.41/13.66  																																				| (387)  ~ (all_0_86_86 = e1)
% 43.41/13.66  																																				| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.41/13.66  																																				|
% 43.41/13.66  																																					+-Applying beta-rule and splitting (617), into two cases.
% 43.41/13.66  																																					|-Branch one:
% 43.41/13.66  																																					| (1265) all_0_84_84 = e3
% 43.41/13.66  																																					|
% 43.41/13.66  																																						| Equations (1265) can reduce 422 to:
% 43.41/13.66  																																						| (311) $false
% 43.41/13.66  																																						|
% 43.41/13.66  																																						|-The branch is then unsatisfiable
% 43.41/13.66  																																					|-Branch two:
% 43.41/13.66  																																					| (422)  ~ (all_0_84_84 = e3)
% 43.41/13.66  																																					| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.41/13.66  																																					|
% 43.41/13.66  																																						+-Applying beta-rule and splitting (1268), into two cases.
% 43.41/13.66  																																						|-Branch one:
% 43.41/13.66  																																						| (916) all_0_84_84 = e0
% 43.41/13.66  																																						|
% 43.41/13.66  																																							| Equations (916) can reduce 87 to:
% 43.41/13.66  																																							| (2299)  ~ (all_0_92_92 = e0)
% 43.41/13.66  																																							|
% 43.41/13.66  																																							| Simplifying 2299 yields:
% 43.41/13.66  																																							| (946)  ~ (all_0_92_92 = e0)
% 43.41/13.66  																																							|
% 43.41/13.66  																																							| From (916) and (150) follows:
% 43.41/13.66  																																							| (11508) op(e3, e0) = all_0_63_63
% 43.41/13.66  																																							|
% 43.41/13.66  																																							+-Applying beta-rule and splitting (2122), into two cases.
% 43.41/13.66  																																							|-Branch one:
% 43.41/13.66  																																							| (750) all_0_90_90 = e1
% 43.41/13.66  																																							|
% 43.41/13.66  																																								| Combining equations (750,583) yields a new equation:
% 43.41/13.66  																																								| (814) e4 = e1
% 43.41/13.66  																																								|
% 43.41/13.66  																																								| Equations (814) can reduce 256 to:
% 43.41/13.66  																																								| (311) $false
% 43.41/13.66  																																								|
% 43.41/13.66  																																								|-The branch is then unsatisfiable
% 43.41/13.66  																																							|-Branch two:
% 43.41/13.66  																																							| (678)  ~ (all_0_90_90 = e1)
% 43.41/13.66  																																							| (785) all_0_95_95 = e1
% 43.41/13.66  																																							|
% 43.41/13.66  																																								| Equations (785) can reduce 107 to:
% 43.41/13.66  																																								| (1803)  ~ (all_0_98_98 = e1)
% 43.41/13.66  																																								|
% 43.41/13.66  																																								| Simplifying 1803 yields:
% 43.41/13.66  																																								| (1804)  ~ (all_0_98_98 = e1)
% 43.41/13.66  																																								|
% 43.41/13.66  																																								| From (785) and (280) follows:
% 43.41/13.66  																																								| (13196) op(e0, e1) = all_0_51_51
% 43.41/13.66  																																								|
% 43.41/13.66  																																								+-Applying beta-rule and splitting (1111), into two cases.
% 43.41/13.66  																																								|-Branch one:
% 43.41/13.66  																																								| (604) all_0_93_93 = e0
% 43.41/13.66  																																								|
% 43.41/13.66  																																									| Equations (604) can reduce 509 to:
% 43.41/13.66  																																									| (311) $false
% 43.41/13.66  																																									|
% 43.41/13.66  																																									|-The branch is then unsatisfiable
% 43.41/13.66  																																								|-Branch two:
% 43.41/13.66  																																								| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.66  																																								| (1121) all_0_98_98 = e0
% 43.41/13.66  																																								|
% 43.41/13.66  																																									| Equations (1121) can reduce 13 to:
% 43.41/13.66  																																									| (509)  ~ (all_0_93_93 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									| Equations (1121) can reduce 148 to:
% 43.41/13.66  																																									| (609)  ~ (all_0_97_97 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									| Equations (1121) can reduce 1349 to:
% 43.41/13.66  																																									| (510)  ~ (e2 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									| Simplifying 510 yields:
% 43.41/13.66  																																									| (76)  ~ (e2 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									| Equations (1121) can reduce 1804 to:
% 43.41/13.66  																																									| (859)  ~ (e1 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									| Simplifying 859 yields:
% 43.41/13.66  																																									| (264)  ~ (e1 = e0)
% 43.41/13.66  																																									|
% 43.41/13.66  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 43.41/13.66  																																									|-Branch one:
% 43.41/13.66  																																									| (801) all_0_91_91 = e1
% 43.41/13.66  																																									|
% 43.41/13.66  																																										| Combining equations (1456,801) yields a new equation:
% 43.41/13.66  																																										| (865) e1 = e0
% 43.41/13.66  																																										|
% 43.41/13.66  																																										| Equations (865) can reduce 264 to:
% 43.41/13.66  																																										| (311) $false
% 43.41/13.66  																																										|
% 43.41/13.66  																																										|-The branch is then unsatisfiable
% 43.41/13.66  																																									|-Branch two:
% 43.41/13.66  																																									| (959)  ~ (all_0_91_91 = e1)
% 43.41/13.66  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.41/13.66  																																									|
% 43.41/13.66  																																										+-Applying beta-rule and splitting (112), into two cases.
% 43.41/13.66  																																										|-Branch one:
% 43.41/13.66  																																										| (538) all_0_97_97 = e2
% 43.41/13.66  																																										|
% 43.41/13.66  																																											| Equations (538) can reduce 527 to:
% 43.41/13.66  																																											| (311) $false
% 43.41/13.66  																																											|
% 43.41/13.66  																																											|-The branch is then unsatisfiable
% 43.41/13.66  																																										|-Branch two:
% 43.41/13.66  																																										| (527)  ~ (all_0_97_97 = e2)
% 43.41/13.66  																																										| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 43.41/13.66  																																										|
% 43.41/13.66  																																											+-Applying beta-rule and splitting (565), into two cases.
% 43.41/13.66  																																											|-Branch one:
% 43.41/13.66  																																											| (566) all_0_93_93 = e1
% 43.41/13.66  																																											|
% 43.41/13.66  																																												| Equations (566) can reduce 481 to:
% 43.41/13.66  																																												| (311) $false
% 43.41/13.66  																																												|
% 43.41/13.66  																																												|-The branch is then unsatisfiable
% 43.41/13.66  																																											|-Branch two:
% 43.41/13.66  																																											| (481)  ~ (all_0_93_93 = e1)
% 43.41/13.66  																																											| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 43.41/13.66  																																											|
% 43.41/13.66  																																												+-Applying beta-rule and splitting (1556), into two cases.
% 43.41/13.66  																																												|-Branch one:
% 43.41/13.66  																																												| (836) all_0_92_92 = e1
% 43.41/13.66  																																												|
% 43.41/13.66  																																													| Equations (836) can reduce 258 to:
% 43.41/13.66  																																													| (485)  ~ (all_0_97_97 = e1)
% 43.41/13.66  																																													|
% 43.41/13.66  																																													| Simplifying 485 yields:
% 43.41/13.66  																																													| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.66  																																													|
% 43.41/13.66  																																													| Equations (836) can reduce 298 to:
% 43.41/13.66  																																													| (487)  ~ (e2 = e1)
% 43.41/13.66  																																													|
% 43.41/13.66  																																													| Simplifying 487 yields:
% 43.41/13.66  																																													| (243)  ~ (e2 = e1)
% 43.41/13.66  																																													|
% 43.41/13.66  																																													| Equations (836) can reduce 946 to:
% 43.41/13.66  																																													| (264)  ~ (e1 = e0)
% 43.41/13.66  																																													|
% 43.41/13.66  																																													+-Applying beta-rule and splitting (569), into two cases.
% 43.41/13.66  																																													|-Branch one:
% 43.41/13.66  																																													| (570) all_0_93_93 = e3
% 43.41/13.66  																																													|
% 43.41/13.66  																																														| From (570) and (21) follows:
% 43.41/13.66  																																														| (4652) op(e1, e3) = all_0_76_76
% 43.41/13.66  																																														|
% 43.41/13.66  																																														+-Applying beta-rule and splitting (541), into two cases.
% 43.41/13.66  																																														|-Branch one:
% 43.41/13.66  																																														| (542) all_0_97_97 = e1
% 43.41/13.66  																																														|
% 43.41/13.66  																																															| Equations (542) can reduce 486 to:
% 43.41/13.66  																																															| (311) $false
% 43.41/13.66  																																															|
% 43.41/13.66  																																															|-The branch is then unsatisfiable
% 43.41/13.66  																																														|-Branch two:
% 43.41/13.66  																																														| (486)  ~ (all_0_97_97 = e1)
% 43.41/13.66  																																														| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 43.41/13.66  																																														|
% 43.41/13.66  																																															+-Applying beta-rule and splitting (545), into two cases.
% 43.41/13.66  																																															|-Branch one:
% 43.41/13.66  																																															| (556) all_0_97_97 = e3
% 43.41/13.66  																																															|
% 43.41/13.66  																																																| From (556) and (252) follows:
% 43.41/13.66  																																																| (10793) op(e1, e3) = all_0_67_67
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| From (556) and (147) follows:
% 43.41/13.66  																																																| (13234) op(e0, e1) = e3
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 43.41/13.66  																																																| (13235) all_0_44_44 = e3
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e3, e4, all_0_48_48, e1 and discharging atoms op(e3, e4) = all_0_48_48, op(e3, e4) = e1, yields:
% 43.41/13.66  																																																| (741) all_0_48_48 = e1
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e3, e4, all_0_72_72, all_0_48_48 and discharging atoms op(e3, e4) = all_0_48_48, op(e3, e4) = all_0_72_72, yields:
% 43.41/13.66  																																																| (13237) all_0_48_48 = all_0_72_72
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e3, e0, e4, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e4, yields:
% 43.41/13.66  																																																| (10099) all_0_63_63 = e4
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 43.41/13.66  																																																| (10505) all_0_49_49 = e2
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e1, e4, all_0_60_60, all_0_49_49 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = all_0_60_60, yields:
% 43.41/13.66  																																																| (13240) all_0_49_49 = all_0_60_60
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e1, e3, all_0_76_76, all_0_67_67 and discharging atoms op(e1, e3) = all_0_67_67, op(e1, e3) = all_0_76_76, yields:
% 43.41/13.66  																																																| (13241) all_0_67_67 = all_0_76_76
% 43.41/13.66  																																																|
% 43.41/13.66  																																																| Instantiating formula (262) with e1, e3, e4, all_0_67_67 and discharging atoms op(e1, e3) = all_0_67_67, op(e1, e3) = e4, yields:
% 43.41/13.66  																																																| (3520) all_0_67_67 = e4
% 43.49/13.66  																																																|
% 43.49/13.66  																																																| Instantiating formula (262) with e0, e1, e3, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e3, yields:
% 43.49/13.66  																																																| (1551) all_0_51_51 = e3
% 43.49/13.66  																																																|
% 43.49/13.66  																																																| Combining equations (13237,741) yields a new equation:
% 43.49/13.66  																																																| (13244) all_0_72_72 = e1
% 43.49/13.66  																																																|
% 43.49/13.66  																																																| Simplifying 13244 yields:
% 43.49/13.66  																																																| (845) all_0_72_72 = e1
% 43.49/13.66  																																																|
% 43.49/13.67  																																																| Combining equations (13240,10505) yields a new equation:
% 43.49/13.67  																																																| (13246) all_0_60_60 = e2
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| Simplifying 13246 yields:
% 43.49/13.67  																																																| (4076) all_0_60_60 = e2
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| Combining equations (3520,13241) yields a new equation:
% 43.49/13.67  																																																| (4717) all_0_76_76 = e4
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (13235) and (13158) follows:
% 43.49/13.67  																																																| (3281) op(e4, e3) = e3
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (845) and (4405) follows:
% 43.49/13.67  																																																| (225) op(e3, e4) = e1
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (10099) and (11508) follows:
% 43.49/13.67  																																																| (4406) op(e3, e0) = e4
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (4076) and (4027) follows:
% 43.49/13.67  																																																| (307) op(e1, e4) = e2
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (4717) and (4652) follows:
% 43.49/13.67  																																																| (4391) op(e1, e3) = e4
% 43.49/13.67  																																																|
% 43.49/13.67  																																																| From (1551) and (13196) follows:
% 43.49/13.67  																																																| (13234) op(e0, e1) = e3
% 43.49/13.67  																																																|
% 43.49/13.67  																																																+-Applying beta-rule and splitting (196), into two cases.
% 43.49/13.67  																																																|-Branch one:
% 43.49/13.67  																																																| (4725) unit = e2
% 43.49/13.67  																																																|
% 43.49/13.67  																																																	| From (4725) and (170) follows:
% 43.49/13.67  																																																	| (4726) op(e2, e4) = e4
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| From (4725) and (203) follows:
% 43.49/13.67  																																																	| (13257) op(e2, e3) = e3
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| From (4725) and (36) follows:
% 43.49/13.67  																																																	| (13258) op(e2, e1) = e1
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| From (4725) and (269) follows:
% 43.49/13.67  																																																	| (4728) op(e2, e2) = e2
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 43.49/13.67  																																																	| (434) e4 = e3
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Instantiating formula (262) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 43.49/13.67  																																																	| (600) e3 = e0
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Instantiating formula (262) with e2, e2, e2, e4 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 43.49/13.67  																																																	| (310) e4 = e2
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Instantiating formula (262) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 43.49/13.67  																																																	| (385) e2 = e1
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Combining equations (310,434) yields a new equation:
% 43.49/13.67  																																																	| (548) e3 = e2
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Combining equations (548,600) yields a new equation:
% 43.49/13.67  																																																	| (923) e2 = e0
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Simplifying 923 yields:
% 43.49/13.67  																																																	| (379) e2 = e0
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Combining equations (385,379) yields a new equation:
% 43.49/13.67  																																																	| (1107) e1 = e0
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Simplifying 1107 yields:
% 43.49/13.67  																																																	| (865) e1 = e0
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	| Equations (865) can reduce 264 to:
% 43.49/13.67  																																																	| (311) $false
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																	|-The branch is then unsatisfiable
% 43.49/13.67  																																																|-Branch two:
% 43.49/13.67  																																																| (4740)  ~ (unit = e2)
% 43.49/13.67  																																																| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 43.49/13.67  																																																|
% 43.49/13.67  																																																	+-Applying beta-rule and splitting (4741), into two cases.
% 43.49/13.67  																																																	|-Branch one:
% 43.49/13.67  																																																	| (4742) unit = e1
% 43.49/13.67  																																																	|
% 43.49/13.67  																																																		| From (4742) and (170) follows:
% 43.50/13.67  																																																		| (4743) op(e1, e4) = e4
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| From (4742) and (203) follows:
% 43.50/13.67  																																																		| (4744) op(e1, e3) = e3
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| From (4742) and (57) follows:
% 43.50/13.67  																																																		| (3169) op(e0, e1) = e0
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 43.50/13.67  																																																		| (310) e4 = e2
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 43.50/13.67  																																																		| (434) e4 = e3
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Instantiating formula (262) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 43.50/13.67  																																																		| (600) e3 = e0
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Combining equations (434,310) yields a new equation:
% 43.50/13.67  																																																		| (547) e3 = e2
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Simplifying 547 yields:
% 43.50/13.67  																																																		| (548) e3 = e2
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Combining equations (548,600) yields a new equation:
% 43.50/13.67  																																																		| (923) e2 = e0
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Simplifying 923 yields:
% 43.50/13.67  																																																		| (379) e2 = e0
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		| Equations (379) can reduce 76 to:
% 43.50/13.67  																																																		| (311) $false
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																		|-The branch is then unsatisfiable
% 43.50/13.67  																																																	|-Branch two:
% 43.50/13.67  																																																	| (4754)  ~ (unit = e1)
% 43.50/13.67  																																																	| (4755) unit = e4 | unit = e3 | unit = e0
% 43.50/13.67  																																																	|
% 43.50/13.67  																																																		+-Applying beta-rule and splitting (4755), into two cases.
% 43.50/13.67  																																																		|-Branch one:
% 43.50/13.67  																																																		| (4756) unit = e3
% 43.50/13.67  																																																		|
% 43.50/13.67  																																																			| From (4756) and (242) follows:
% 43.50/13.68  																																																			| (13287) op(e3, e2) = e2
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| From (4756) and (11) follows:
% 43.50/13.68  																																																			| (4757) op(e4, e3) = e4
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| From (4756) and (269) follows:
% 43.50/13.68  																																																			| (362) op(e2, e3) = e2
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| From (4756) and (160) follows:
% 43.50/13.68  																																																			| (3486) op(e1, e3) = e1
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Instantiating formula (262) with e4, e3, e4, e3 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 43.50/13.68  																																																			| (434) e4 = e3
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Instantiating formula (262) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 43.50/13.68  																																																			| (548) e3 = e2
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Instantiating formula (262) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 43.50/13.68  																																																			| (379) e2 = e0
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Instantiating formula (262) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 43.50/13.68  																																																			| (814) e4 = e1
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Combining equations (434,814) yields a new equation:
% 43.50/13.68  																																																			| (825) e3 = e1
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Simplifying 825 yields:
% 43.50/13.68  																																																			| (772) e3 = e1
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Combining equations (772,548) yields a new equation:
% 43.50/13.68  																																																			| (385) e2 = e1
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Combining equations (385,379) yields a new equation:
% 43.50/13.68  																																																			| (1107) e1 = e0
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Simplifying 1107 yields:
% 43.50/13.68  																																																			| (865) e1 = e0
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			| Equations (865) can reduce 264 to:
% 43.50/13.68  																																																			| (311) $false
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																			|-The branch is then unsatisfiable
% 43.50/13.68  																																																		|-Branch two:
% 43.50/13.68  																																																		| (4768)  ~ (unit = e3)
% 43.50/13.68  																																																		| (4769) unit = e4 | unit = e0
% 43.50/13.68  																																																		|
% 43.50/13.68  																																																			+-Applying beta-rule and splitting (4769), into two cases.
% 43.50/13.68  																																																			|-Branch one:
% 43.50/13.68  																																																			| (4770) unit = e0
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																				| From (4770) and (36) follows:
% 43.50/13.68  																																																				| (2475) op(e0, e1) = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| From (4770) and (11) follows:
% 43.50/13.68  																																																				| (4772) op(e4, e0) = e4
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| From (4770) and (271) follows:
% 43.50/13.68  																																																				| (1048) op(e3, e0) = e3
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e4, e0, e4, e2 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e2, yields:
% 43.50/13.68  																																																				| (310) e4 = e2
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 43.50/13.68  																																																				| (434) e4 = e3
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 43.50/13.68  																																																				| (772) e3 = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Combining equations (310,434) yields a new equation:
% 43.50/13.68  																																																				| (548) e3 = e2
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Combining equations (548,772) yields a new equation:
% 43.50/13.68  																																																				| (408) e2 = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Simplifying 408 yields:
% 43.50/13.68  																																																				| (385) e2 = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Equations (385) can reduce 243 to:
% 43.50/13.68  																																																				| (311) $false
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				|-The branch is then unsatisfiable
% 43.50/13.68  																																																			|-Branch two:
% 43.50/13.68  																																																			| (4780)  ~ (unit = e0)
% 43.50/13.68  																																																			| (4781) unit = e4
% 43.50/13.68  																																																			|
% 43.50/13.68  																																																				| From (4781) and (288) follows:
% 43.50/13.68  																																																				| (4782) op(e4, e0) = e0
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| From (4781) and (271) follows:
% 43.50/13.68  																																																				| (4783) op(e3, e4) = e3
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| From (4781) and (269) follows:
% 43.50/13.68  																																																				| (4784) op(e2, e4) = e2
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e4, e0, e0, e2 and discharging atoms op(e4, e0) = e2, op(e4, e0) = e0, yields:
% 43.50/13.68  																																																				| (379) e2 = e0
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 43.50/13.68  																																																				| (772) e3 = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Instantiating formula (262) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 43.50/13.68  																																																				| (548) e3 = e2
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Combining equations (772,548) yields a new equation:
% 43.50/13.68  																																																				| (385) e2 = e1
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Combining equations (379,385) yields a new equation:
% 43.50/13.68  																																																				| (865) e1 = e0
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				| Equations (865) can reduce 264 to:
% 43.50/13.68  																																																				| (311) $false
% 43.50/13.68  																																																				|
% 43.50/13.68  																																																				|-The branch is then unsatisfiable
% 43.50/13.68  																																															|-Branch two:
% 43.50/13.68  																																															| (428)  ~ (all_0_97_97 = e3)
% 43.50/13.68  																																															| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 43.50/13.68  																																															|
% 43.50/13.68  																																																+-Applying beta-rule and splitting (559), into two cases.
% 43.50/13.68  																																																|-Branch one:
% 43.50/13.68  																																																| (560) all_0_97_97 = e0
% 43.50/13.68  																																																|
% 43.50/13.68  																																																	| Equations (560) can reduce 609 to:
% 43.50/13.68  																																																	| (311) $false
% 43.50/13.68  																																																	|
% 43.50/13.68  																																																	|-The branch is then unsatisfiable
% 43.50/13.68  																																																|-Branch two:
% 43.50/13.68  																																																| (609)  ~ (all_0_97_97 = e0)
% 43.50/13.68  																																																| (610) all_0_97_97 = e4
% 43.50/13.68  																																																|
% 43.50/13.68  																																																	| Equations (610) can reduce 319 to:
% 43.50/13.68  																																																	| (311) $false
% 43.50/13.68  																																																	|
% 43.50/13.68  																																																	|-The branch is then unsatisfiable
% 43.50/13.68  																																													|-Branch two:
% 43.50/13.68  																																													| (602)  ~ (all_0_93_93 = e3)
% 43.50/13.68  																																													| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 43.50/13.68  																																													|
% 43.50/13.68  																																														+-Applying beta-rule and splitting (603), into two cases.
% 43.50/13.68  																																														|-Branch one:
% 43.50/13.68  																																														| (604) all_0_93_93 = e0
% 43.50/13.68  																																														|
% 43.50/13.68  																																															| Equations (604) can reduce 509 to:
% 43.50/13.68  																																															| (311) $false
% 43.50/13.68  																																															|
% 43.50/13.68  																																															|-The branch is then unsatisfiable
% 43.50/13.68  																																														|-Branch two:
% 43.50/13.68  																																														| (509)  ~ (all_0_93_93 = e0)
% 43.50/13.68  																																														| (607) all_0_93_93 = e4
% 43.50/13.68  																																														|
% 43.50/13.68  																																															| Equations (607) can reduce 496 to:
% 43.50/13.68  																																															| (311) $false
% 43.50/13.68  																																															|
% 43.50/13.68  																																															|-The branch is then unsatisfiable
% 43.50/13.68  																																												|-Branch two:
% 43.50/13.68  																																												| (840)  ~ (all_0_92_92 = e1)
% 43.50/13.68  																																												| (566) all_0_93_93 = e1
% 43.50/13.68  																																												|
% 43.50/13.68  																																													| Equations (566) can reduce 481 to:
% 43.50/13.68  																																													| (311) $false
% 43.50/13.68  																																													|
% 43.50/13.68  																																													|-The branch is then unsatisfiable
% 43.50/13.68  																																						|-Branch two:
% 43.50/13.68  																																						| (919)  ~ (all_0_84_84 = e0)
% 43.50/13.68  																																						| (438) all_0_84_84 = e4
% 43.50/13.68  																																						|
% 43.50/13.68  																																							| Equations (438) can reduce 417 to:
% 43.50/13.68  																																							| (311) $false
% 43.50/13.68  																																							|
% 43.50/13.68  																																							|-The branch is then unsatisfiable
% 43.50/13.68  																																|-Branch two:
% 43.50/13.68  																																| (418)  ~ (all_0_78_78 = e3)
% 43.50/13.68  																																| (463) all_0_78_78 = e4
% 43.50/13.68  																																|
% 43.50/13.68  																																	| Equations (463) can reduce 640 to:
% 43.50/13.68  																																	| (311) $false
% 43.50/13.68  																																	|
% 43.50/13.68  																																	|-The branch is then unsatisfiable
% 43.50/13.68  																														|-Branch two:
% 43.50/13.68  																														| (467)  ~ (all_0_90_90 = e4)
% 43.50/13.68  																														| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.50/13.68  																														|
% 43.50/13.68  																															+-Applying beta-rule and splitting (1928), into two cases.
% 43.50/13.68  																															|-Branch one:
% 43.50/13.68  																															| (442) all_0_92_92 = e4
% 43.50/13.68  																															|
% 43.50/13.68  																																| Equations (442) can reduce 1619 to:
% 43.50/13.68  																																| (311) $false
% 43.50/13.68  																																|
% 43.50/13.68  																																|-The branch is then unsatisfiable
% 43.50/13.68  																															|-Branch two:
% 43.50/13.68  																															| (1619)  ~ (all_0_92_92 = e4)
% 43.50/13.68  																															| (607) all_0_93_93 = e4
% 43.50/13.68  																															|
% 43.50/13.68  																																| Equations (607) can reduce 496 to:
% 43.50/13.68  																																| (311) $false
% 43.50/13.68  																																|
% 43.50/13.68  																																|-The branch is then unsatisfiable
% 43.50/13.68  																							|-Branch two:
% 43.50/13.68  																							| (436)  ~ (all_0_80_80 = e4)
% 43.50/13.68  																							| (638) all_0_81_81 = e4
% 43.50/13.68  																							|
% 43.50/13.68  																								| Combining equations (473,638) yields a new equation:
% 43.50/13.68  																								| (310) e4 = e2
% 43.50/13.68  																								|
% 43.50/13.68  																								| Equations (310) can reduce 79 to:
% 43.50/13.68  																								| (311) $false
% 43.50/13.68  																								|
% 43.50/13.68  																								|-The branch is then unsatisfiable
% 43.50/13.68  																				|-Branch two:
% 43.50/13.68  																				| (779)  ~ (all_0_83_83 = e3)
% 43.50/13.68  																				| (798) all_0_83_83 = e0
% 43.50/13.68  																				|
% 43.50/13.68  																					| Equations (798) can reduce 1314 to:
% 43.50/13.68  																					| (311) $false
% 43.50/13.68  																					|
% 43.50/13.68  																					|-The branch is then unsatisfiable
% 43.50/13.68  																			|-Branch two:
% 43.50/13.68  																			| (1487)  ~ (all_0_91_91 = e0)
% 43.50/13.68  																			| (1837) all_0_96_96 = e0
% 43.50/13.68  																			|
% 43.50/13.68  																				| Combining equations (1704,1837) yields a new equation:
% 43.50/13.68  																				| (923) e2 = e0
% 43.50/13.68  																				|
% 43.50/13.68  																				| Simplifying 923 yields:
% 43.50/13.68  																				| (379) e2 = e0
% 43.50/13.68  																				|
% 43.50/13.68  																				| Equations (379) can reduce 76 to:
% 43.50/13.68  																				| (311) $false
% 43.50/13.68  																				|
% 43.50/13.68  																				|-The branch is then unsatisfiable
% 43.50/13.68  																	|-Branch two:
% 43.50/13.68  																	| (461)  ~ (all_0_79_79 = e1)
% 43.50/13.68  																	| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.50/13.68  																	|
% 43.50/13.68  																		+-Applying beta-rule and splitting (70), into two cases.
% 43.50/13.68  																		|-Branch one:
% 43.50/13.68  																		| (400) all_0_78_78 = e2
% 43.50/13.68  																		|
% 43.50/13.68  																			| Equations (400) can reduce 346 to:
% 43.50/13.68  																			| (311) $false
% 43.50/13.68  																			|
% 43.50/13.68  																			|-The branch is then unsatisfiable
% 43.50/13.68  																		|-Branch two:
% 43.50/13.68  																		| (346)  ~ (all_0_78_78 = e2)
% 43.50/13.68  																		| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 43.50/13.68  																		|
% 43.50/13.68  																			+-Applying beta-rule and splitting (462), into two cases.
% 43.50/13.68  																			|-Branch one:
% 43.50/13.68  																			| (801) all_0_91_91 = e1
% 43.50/13.68  																			|
% 43.50/13.68  																				| Equations (801) can reduce 17 to:
% 43.50/13.68  																				| (461)  ~ (all_0_79_79 = e1)
% 43.50/13.68  																				|
% 43.50/13.68  																				+-Applying beta-rule and splitting (1623), into two cases.
% 43.50/13.68  																				|-Branch one:
% 43.50/13.68  																				| (457) all_0_79_79 = e1
% 43.50/13.68  																				|
% 43.50/13.68  																					| Equations (457) can reduce 461 to:
% 43.50/13.68  																					| (311) $false
% 43.50/13.68  																					|
% 43.50/13.68  																					|-The branch is then unsatisfiable
% 43.50/13.68  																				|-Branch two:
% 43.50/13.68  																				| (461)  ~ (all_0_79_79 = e1)
% 43.50/13.68  																				| (1708) all_0_79_79 = e3
% 43.50/13.68  																				|
% 43.50/13.68  																					| Combining equations (1708,331) yields a new equation:
% 43.50/13.68  																					| (13379) all_0_39_39 = e3
% 43.50/13.68  																					|
% 43.50/13.68  																					| Equations (1708) can reduce 63 to:
% 43.50/13.68  																					| (3267)  ~ (all_0_80_80 = e3)
% 43.50/13.68  																					|
% 43.50/13.68  																					| Simplifying 3267 yields:
% 43.50/13.68  																					| (2347)  ~ (all_0_80_80 = e3)
% 43.50/13.68  																					|
% 43.50/13.68  																					| Equations (1708) can reduce 461 to:
% 43.50/13.68  																					| (20)  ~ (e3 = e1)
% 43.50/13.68  																					|
% 43.50/13.68  																					+-Applying beta-rule and splitting (403), into two cases.
% 43.50/13.68  																					|-Branch one:
% 43.50/13.68  																					| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 43.50/13.68  																					|
% 43.50/13.68  																						+-Applying beta-rule and splitting (404), into two cases.
% 43.50/13.68  																						|-Branch one:
% 43.50/13.68  																						| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 43.50/13.68  																						|
% 43.50/13.68  																							| Applying alpha-rule on (405) yields:
% 43.50/13.68  																							| (406) all_0_39_39 = e1
% 43.50/13.68  																							| (407)  ~ (all_0_40_40 = e4)
% 43.50/13.68  																							|
% 43.50/13.69  																							| Combining equations (406,13379) yields a new equation:
% 43.50/13.69  																							| (772) e3 = e1
% 43.50/13.69  																							|
% 43.50/13.69  																							| Equations (772) can reduce 20 to:
% 43.50/13.69  																							| (311) $false
% 43.50/13.69  																							|
% 43.50/13.69  																							|-The branch is then unsatisfiable
% 43.50/13.69  																						|-Branch two:
% 43.50/13.69  																						| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 43.50/13.69  																						|
% 43.50/13.69  																							| Applying alpha-rule on (411) yields:
% 43.50/13.69  																							| (337) all_0_41_41 = e0
% 43.50/13.69  																							| (413)  ~ (all_0_42_42 = e4)
% 43.50/13.69  																							|
% 43.50/13.69  																							| Equations (336) can reduce 413 to:
% 43.50/13.69  																							| (311) $false
% 43.50/13.69  																							|
% 43.50/13.69  																							|-The branch is then unsatisfiable
% 43.50/13.69  																					|-Branch two:
% 43.50/13.69  																					| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 43.50/13.69  																					|
% 43.50/13.69  																						| Applying alpha-rule on (415) yields:
% 43.50/13.69  																						| (416) all_0_80_80 = e3
% 43.50/13.69  																						| (417)  ~ (all_0_84_84 = e4)
% 43.50/13.69  																						|
% 43.50/13.69  																						| Equations (416) can reduce 2347 to:
% 43.50/13.69  																						| (311) $false
% 43.50/13.69  																						|
% 43.50/13.69  																						|-The branch is then unsatisfiable
% 43.50/13.69  																			|-Branch two:
% 43.50/13.69  																			| (959)  ~ (all_0_91_91 = e1)
% 43.50/13.69  																			| (960) all_0_96_96 = e1
% 43.50/13.69  																			|
% 43.50/13.69  																				| Combining equations (1704,960) yields a new equation:
% 43.50/13.69  																				| (408) e2 = e1
% 43.50/13.69  																				|
% 43.50/13.69  																				| Simplifying 408 yields:
% 43.50/13.69  																				| (385) e2 = e1
% 43.50/13.69  																				|
% 43.50/13.69  																				| Equations (385) can reduce 243 to:
% 43.50/13.69  																				| (311) $false
% 43.50/13.69  																				|
% 43.50/13.69  																				|-The branch is then unsatisfiable
% 43.50/13.69  												|-Branch two:
% 43.50/13.69  												| (347)  ~ (all_0_82_82 = e2)
% 43.50/13.69  												| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 43.50/13.69  												|
% 43.50/13.69  													+-Applying beta-rule and splitting (533), into two cases.
% 43.50/13.69  													|-Branch one:
% 43.50/13.69  													| (453) all_0_83_83 = e2
% 43.50/13.69  													|
% 43.50/13.69  														| Equations (453) can reduce 272 to:
% 43.50/13.69  														| (1622)  ~ (all_0_79_79 = e2)
% 43.50/13.69  														|
% 43.50/13.69  														| Equations (453) can reduce 116 to:
% 43.50/13.69  														| (347)  ~ (all_0_82_82 = e2)
% 43.50/13.69  														|
% 43.50/13.69  														| Equations (453) can reduce 226 to:
% 43.50/13.69  														| (691)  ~ (all_0_85_85 = e2)
% 43.50/13.69  														|
% 43.50/13.69  														| Simplifying 691 yields:
% 43.50/13.69  														| (515)  ~ (all_0_85_85 = e2)
% 43.50/13.69  														|
% 43.50/13.69  														| Equations (453) can reduce 113 to:
% 43.50/13.69  														| (243)  ~ (e2 = e1)
% 43.50/13.69  														|
% 43.50/13.69  														| From (453) and (163) follows:
% 43.50/13.69  														| (13410) op(e3, e2) = all_0_55_55
% 43.50/13.69  														|
% 43.50/13.69  														| From (453) and (174) follows:
% 43.50/13.69  														| (13287) op(e3, e2) = e2
% 43.50/13.69  														|
% 43.50/13.69  														+-Applying beta-rule and splitting (246), into two cases.
% 43.50/13.69  														|-Branch one:
% 43.50/13.69  														| (400) all_0_78_78 = e2
% 43.50/13.69  														|
% 43.50/13.69  															| Equations (400) can reduce 346 to:
% 43.50/13.69  															| (311) $false
% 43.50/13.69  															|
% 43.50/13.69  															|-The branch is then unsatisfiable
% 43.50/13.69  														|-Branch two:
% 43.50/13.69  														| (346)  ~ (all_0_78_78 = e2)
% 43.50/13.69  														| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 43.50/13.69  														|
% 43.50/13.69  															+-Applying beta-rule and splitting (13415), into two cases.
% 43.50/13.69  															|-Branch one:
% 43.50/13.69  															| (530) all_0_82_82 = e2
% 43.50/13.69  															|
% 43.50/13.69  																| Equations (530) can reduce 347 to:
% 43.50/13.69  																| (311) $false
% 43.50/13.69  																|
% 43.50/13.69  																|-The branch is then unsatisfiable
% 43.50/13.69  															|-Branch two:
% 43.50/13.69  															| (347)  ~ (all_0_82_82 = e2)
% 43.50/13.69  															| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 43.50/13.69  															|
% 43.50/13.69  																+-Applying beta-rule and splitting (13419), into two cases.
% 43.50/13.69  																|-Branch one:
% 43.50/13.69  																| (345) all_0_86_86 = e2
% 43.50/13.69  																|
% 43.50/13.69  																	| Combining equations (378,345) yields a new equation:
% 43.50/13.69  																	| (379) e2 = e0
% 43.50/13.69  																	|
% 43.50/13.69  																	| Equations (379) can reduce 76 to:
% 43.50/13.69  																	| (311) $false
% 43.50/13.69  																	|
% 43.50/13.69  																	|-The branch is then unsatisfiable
% 43.50/13.69  																|-Branch two:
% 43.50/13.69  																| (9507)  ~ (all_0_86_86 = e2)
% 43.50/13.69  																| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 43.50/13.69  																|
% 43.50/13.69  																	+-Applying beta-rule and splitting (13424), into two cases.
% 43.50/13.69  																	|-Branch one:
% 43.50/13.69  																	| (746) all_0_90_90 = e2
% 43.50/13.69  																	|
% 43.50/13.69  																		| Equations (746) can reduce 294 to:
% 43.50/13.69  																		| (311) $false
% 43.50/13.69  																		|
% 43.50/13.69  																		|-The branch is then unsatisfiable
% 43.50/13.69  																	|-Branch two:
% 43.50/13.69  																	| (294)  ~ (all_0_90_90 = e2)
% 43.50/13.69  																	| (767) all_0_95_95 = e2
% 43.50/13.69  																	|
% 43.50/13.69  																		| Equations (767) can reduce 125 to:
% 43.50/13.69  																		| (346)  ~ (all_0_78_78 = e2)
% 43.50/13.69  																		|
% 43.50/13.69  																		| Equations (767) can reduce 105 to:
% 43.50/13.69  																		| (2376)  ~ (all_0_97_97 = e2)
% 43.50/13.69  																		|
% 43.50/13.69  																		| Simplifying 2376 yields:
% 43.50/13.69  																		| (527)  ~ (all_0_97_97 = e2)
% 43.50/13.69  																		|
% 43.50/13.69  																		| Equations (767) can reduce 315 to:
% 43.50/13.69  																		| (528)  ~ (e4 = e2)
% 43.50/13.69  																		|
% 43.50/13.69  																		| Simplifying 528 yields:
% 43.50/13.69  																		| (79)  ~ (e4 = e2)
% 43.50/13.69  																		|
% 43.50/13.69  																		| Equations (767) can reduce 893 to:
% 43.50/13.69  																		| (76)  ~ (e2 = e0)
% 43.50/13.69  																		|
% 43.50/13.69  																		| From (767) and (121) follows:
% 43.50/13.69  																		| (13435) op(e3, e2) = all_0_50_50
% 43.50/13.69  																		|
% 43.50/13.69  																		| Instantiating formula (262) with e3, e2, all_0_55_55, all_0_50_50 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = all_0_55_55, yields:
% 43.50/13.69  																		| (13436) all_0_50_50 = all_0_55_55
% 43.50/13.69  																		|
% 43.50/13.69  																		| Instantiating formula (262) with e3, e2, e2, all_0_50_50 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = e2, yields:
% 43.50/13.69  																		| (13437) all_0_50_50 = e2
% 43.50/13.69  																		|
% 43.50/13.69  																		| Combining equations (13437,13436) yields a new equation:
% 43.50/13.69  																		| (12242) all_0_55_55 = e2
% 43.50/13.69  																		|
% 43.50/13.69  																		| Combining equations (12242,13436) yields a new equation:
% 43.50/13.69  																		| (13437) all_0_50_50 = e2
% 43.50/13.69  																		|
% 43.50/13.69  																		+-Applying beta-rule and splitting (219), into two cases.
% 43.50/13.69  																		|-Branch one:
% 43.50/13.69  																		| (798) all_0_83_83 = e0
% 43.50/13.69  																		|
% 43.50/13.69  																			| Combining equations (798,453) yields a new equation:
% 43.50/13.69  																			| (379) e2 = e0
% 43.50/13.69  																			|
% 43.50/13.69  																			| Equations (379) can reduce 76 to:
% 43.50/13.69  																			| (311) $false
% 43.50/13.69  																			|
% 43.50/13.69  																			|-The branch is then unsatisfiable
% 43.50/13.69  																		|-Branch two:
% 43.50/13.69  																		| (1314)  ~ (all_0_83_83 = e0)
% 43.50/13.69  																		| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.50/13.69  																		|
% 43.50/13.69  																			| Equations (453) can reduce 1314 to:
% 43.50/13.69  																			| (76)  ~ (e2 = e0)
% 43.50/13.69  																			|
% 43.50/13.69  																			+-Applying beta-rule and splitting (56), into two cases.
% 43.50/13.69  																			|-Branch one:
% 43.50/13.69  																			| (463) all_0_78_78 = e4
% 43.50/13.69  																			|
% 43.50/13.69  																				| Equations (463) can reduce 85 to:
% 43.50/13.69  																				| (466)  ~ (all_0_90_90 = e4)
% 43.50/13.69  																				|
% 43.50/13.69  																				| Simplifying 466 yields:
% 43.50/13.69  																				| (467)  ~ (all_0_90_90 = e4)
% 43.50/13.69  																				|
% 43.50/13.69  																				| From (463) and (138) follows:
% 43.50/13.69  																				| (12255) op(e3, e4) = all_0_43_43
% 43.50/13.69  																				|
% 43.50/13.69  																				+-Applying beta-rule and splitting (188), into two cases.
% 43.50/13.69  																				|-Branch one:
% 43.50/13.69  																				| (676) all_0_78_78 = e1
% 43.50/13.69  																				|
% 43.50/13.69  																					| Combining equations (463,676) yields a new equation:
% 43.50/13.69  																					| (813) e4 = e1
% 43.50/13.69  																					|
% 43.50/13.69  																					| Simplifying 813 yields:
% 43.50/13.69  																					| (814) e4 = e1
% 43.50/13.69  																					|
% 43.50/13.69  																					| Equations (814) can reduce 256 to:
% 43.50/13.69  																					| (311) $false
% 43.50/13.69  																					|
% 43.50/13.69  																					|-The branch is then unsatisfiable
% 43.50/13.69  																				|-Branch two:
% 43.50/13.69  																				| (1601)  ~ (all_0_78_78 = e1)
% 43.50/13.69  																				| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.50/13.69  																				|
% 43.50/13.69  																					+-Applying beta-rule and splitting (1718), into two cases.
% 43.50/13.69  																					|-Branch one:
% 43.50/13.69  																					| (384) all_0_86_86 = e1
% 43.50/13.69  																					|
% 43.50/13.69  																						| Combining equations (378,384) yields a new equation:
% 43.50/13.69  																						| (865) e1 = e0
% 43.50/13.69  																						|
% 43.50/13.69  																						| Equations (865) can reduce 264 to:
% 43.50/13.69  																						| (311) $false
% 43.50/13.69  																						|
% 43.50/13.69  																						|-The branch is then unsatisfiable
% 43.50/13.69  																					|-Branch two:
% 43.50/13.69  																					| (387)  ~ (all_0_86_86 = e1)
% 43.50/13.69  																					| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.50/13.69  																					|
% 43.50/13.69  																						+-Applying beta-rule and splitting (2122), into two cases.
% 43.50/13.69  																						|-Branch one:
% 43.50/13.69  																						| (750) all_0_90_90 = e1
% 43.50/13.69  																						|
% 43.50/13.69  																							| Equations (750) can reduce 467 to:
% 43.50/13.69  																							| (681)  ~ (e4 = e1)
% 43.50/13.69  																							|
% 43.50/13.69  																							| Simplifying 681 yields:
% 43.50/13.69  																							| (256)  ~ (e4 = e1)
% 43.50/13.69  																							|
% 43.50/13.69  																							| From (750) and (217) follows:
% 43.50/13.70  																							| (10289) op(e3, e1) = all_0_48_48
% 43.50/13.70  																							|
% 43.50/13.70  																							| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 43.50/13.70  																							| (12276) all_0_43_43 = e1
% 43.50/13.70  																							|
% 43.50/13.70  																							| Instantiating formula (262) with e3, e1, all_0_48_48, all_0_84_84 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = all_0_84_84, yields:
% 43.50/13.70  																							| (13466) all_0_48_48 = all_0_84_84
% 43.50/13.70  																							|
% 43.50/13.70  																							+-Applying beta-rule and splitting (186), into two cases.
% 43.50/13.70  																							|-Branch one:
% 43.50/13.70  																							| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.50/13.70  																							|
% 43.50/13.70  																								+-Applying beta-rule and splitting (726), into two cases.
% 43.50/13.70  																								|-Branch one:
% 43.50/13.70  																								| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.50/13.70  																								|
% 43.50/13.70  																									+-Applying beta-rule and splitting (727), into two cases.
% 43.50/13.70  																									|-Branch one:
% 43.50/13.70  																									| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.50/13.70  																									|
% 43.50/13.70  																										| Applying alpha-rule on (728) yields:
% 43.50/13.70  																										| (729) all_0_43_43 = e4
% 43.50/13.70  																										| (730)  ~ (all_0_44_44 = e3)
% 43.50/13.70  																										|
% 43.50/13.70  																										| Combining equations (729,12276) yields a new equation:
% 43.50/13.70  																										| (813) e4 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																										| Simplifying 813 yields:
% 43.50/13.70  																										| (814) e4 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																										| Equations (814) can reduce 256 to:
% 43.50/13.70  																										| (311) $false
% 43.50/13.70  																										|
% 43.50/13.70  																										|-The branch is then unsatisfiable
% 43.50/13.70  																									|-Branch two:
% 43.50/13.70  																									| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.50/13.70  																									|
% 43.50/13.70  																										| Applying alpha-rule on (734) yields:
% 43.50/13.70  																										| (735) all_0_46_46 = e2
% 43.50/13.70  																										| (736)  ~ (all_0_47_47 = e3)
% 43.50/13.70  																										|
% 43.50/13.70  																										| Combining equations (735,9576) yields a new equation:
% 43.50/13.70  																										| (512) all_0_85_85 = e2
% 43.50/13.70  																										|
% 43.50/13.70  																										| Equations (512) can reduce 515 to:
% 43.50/13.70  																										| (311) $false
% 43.50/13.70  																										|
% 43.50/13.70  																										|-The branch is then unsatisfiable
% 43.50/13.70  																								|-Branch two:
% 43.50/13.70  																								| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.50/13.70  																								|
% 43.50/13.70  																									| Applying alpha-rule on (740) yields:
% 43.50/13.70  																									| (741) all_0_48_48 = e1
% 43.50/13.70  																									| (742)  ~ (all_0_49_49 = e3)
% 43.50/13.70  																									|
% 43.50/13.70  																									| Combining equations (741,13466) yields a new equation:
% 43.50/13.70  																									| (13483) all_0_84_84 = e1
% 43.50/13.70  																									|
% 43.50/13.70  																									| Equations (13483) can reduce 259 to:
% 43.50/13.70  																									| (311) $false
% 43.50/13.70  																									|
% 43.50/13.70  																									|-The branch is then unsatisfiable
% 43.50/13.70  																							|-Branch two:
% 43.50/13.70  																							| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.50/13.70  																							|
% 43.50/13.70  																								| Applying alpha-rule on (973) yields:
% 43.50/13.70  																								| (974) all_0_50_50 = e0
% 43.50/13.70  																								| (975)  ~ (all_0_51_51 = e3)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Combining equations (974,13437) yields a new equation:
% 43.50/13.70  																								| (379) e2 = e0
% 43.50/13.70  																								|
% 43.50/13.70  																								| Equations (379) can reduce 76 to:
% 43.50/13.70  																								| (311) $false
% 43.50/13.70  																								|
% 43.50/13.70  																								|-The branch is then unsatisfiable
% 43.50/13.70  																						|-Branch two:
% 43.50/13.70  																						| (678)  ~ (all_0_90_90 = e1)
% 43.50/13.70  																						| (785) all_0_95_95 = e1
% 43.50/13.70  																						|
% 43.50/13.70  																							| Combining equations (785,767) yields a new equation:
% 43.50/13.70  																							| (385) e2 = e1
% 43.50/13.70  																							|
% 43.50/13.70  																							| Equations (385) can reduce 243 to:
% 43.50/13.70  																							| (311) $false
% 43.50/13.70  																							|
% 43.50/13.70  																							|-The branch is then unsatisfiable
% 43.50/13.70  																			|-Branch two:
% 43.50/13.70  																			| (640)  ~ (all_0_78_78 = e4)
% 43.50/13.70  																			| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.50/13.70  																			|
% 43.50/13.70  																				+-Applying beta-rule and splitting (641), into two cases.
% 43.50/13.70  																				|-Branch one:
% 43.50/13.70  																				| (433) all_0_80_80 = e4
% 43.50/13.70  																				|
% 43.50/13.70  																					| Equations (433) can reduce 67 to:
% 43.50/13.70  																					| (640)  ~ (all_0_78_78 = e4)
% 43.50/13.70  																					|
% 43.50/13.70  																					+-Applying beta-rule and splitting (70), into two cases.
% 43.50/13.70  																					|-Branch one:
% 43.50/13.70  																					| (400) all_0_78_78 = e2
% 43.50/13.70  																					|
% 43.50/13.70  																						| Equations (400) can reduce 346 to:
% 43.50/13.70  																						| (311) $false
% 43.50/13.70  																						|
% 43.50/13.70  																						|-The branch is then unsatisfiable
% 43.50/13.70  																					|-Branch two:
% 43.50/13.70  																					| (346)  ~ (all_0_78_78 = e2)
% 43.50/13.70  																					| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 43.50/13.70  																					|
% 43.50/13.70  																						+-Applying beta-rule and splitting (403), into two cases.
% 43.50/13.70  																						|-Branch one:
% 43.50/13.70  																						| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 43.50/13.70  																						|
% 43.50/13.70  																							+-Applying beta-rule and splitting (404), into two cases.
% 43.50/13.70  																							|-Branch one:
% 43.50/13.70  																							| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 43.50/13.70  																							|
% 43.50/13.70  																								| Applying alpha-rule on (405) yields:
% 43.50/13.70  																								| (406) all_0_39_39 = e1
% 43.50/13.70  																								| (407)  ~ (all_0_40_40 = e4)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Combining equations (406,331) yields a new equation:
% 43.50/13.70  																								| (457) all_0_79_79 = e1
% 43.50/13.70  																								|
% 43.50/13.70  																								| Equations (457) can reduce 66 to:
% 43.50/13.70  																								| (1601)  ~ (all_0_78_78 = e1)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Equations (457) can reduce 214 to:
% 43.50/13.70  																								| (1671)  ~ (all_0_96_96 = e1)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Simplifying 1671 yields:
% 43.50/13.70  																								| (1479)  ~ (all_0_96_96 = e1)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Equations (457) can reduce 1622 to:
% 43.50/13.70  																								| (487)  ~ (e2 = e1)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Simplifying 487 yields:
% 43.50/13.70  																								| (243)  ~ (e2 = e1)
% 43.50/13.70  																								|
% 43.50/13.70  																								| Equations (457) can reduce 9 to:
% 43.50/13.70  																								| (264)  ~ (e1 = e0)
% 43.50/13.70  																								|
% 43.50/13.70  																								+-Applying beta-rule and splitting (106), into two cases.
% 43.50/13.70  																								|-Branch one:
% 43.50/13.70  																								| (771) all_0_78_78 = e3
% 43.50/13.70  																								|
% 43.50/13.70  																									| Equations (771) can reduce 1601 to:
% 43.50/13.70  																									| (20)  ~ (e3 = e1)
% 43.50/13.70  																									|
% 43.50/13.70  																									| From (771) and (104) follows:
% 43.50/13.70  																									| (13158) op(e4, e3) = all_0_44_44
% 43.50/13.70  																									|
% 43.50/13.70  																									| From (771) and (263) follows:
% 43.50/13.70  																									| (3281) op(e4, e3) = e3
% 43.50/13.70  																									|
% 43.50/13.70  																									+-Applying beta-rule and splitting (188), into two cases.
% 43.50/13.70  																									|-Branch one:
% 43.50/13.70  																									| (676) all_0_78_78 = e1
% 43.50/13.70  																									|
% 43.50/13.70  																										| Combining equations (771,676) yields a new equation:
% 43.50/13.70  																										| (825) e3 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																										| Simplifying 825 yields:
% 43.50/13.70  																										| (772) e3 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																										| Equations (772) can reduce 20 to:
% 43.50/13.70  																										| (311) $false
% 43.50/13.70  																										|
% 43.50/13.70  																										|-The branch is then unsatisfiable
% 43.50/13.70  																									|-Branch two:
% 43.50/13.70  																									| (1601)  ~ (all_0_78_78 = e1)
% 43.50/13.70  																									| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.50/13.70  																									|
% 43.50/13.70  																										+-Applying beta-rule and splitting (176), into two cases.
% 43.50/13.70  																										|-Branch one:
% 43.50/13.70  																										| (785) all_0_95_95 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																											| Combining equations (767,785) yields a new equation:
% 43.50/13.70  																											| (408) e2 = e1
% 43.50/13.70  																											|
% 43.50/13.70  																											| Simplifying 408 yields:
% 43.50/13.70  																											| (385) e2 = e1
% 43.50/13.70  																											|
% 43.50/13.70  																											| Equations (385) can reduce 243 to:
% 43.50/13.70  																											| (311) $false
% 43.50/13.70  																											|
% 43.50/13.70  																											|-The branch is then unsatisfiable
% 43.50/13.70  																										|-Branch two:
% 43.50/13.70  																										| (680)  ~ (all_0_95_95 = e1)
% 43.50/13.70  																										| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.50/13.70  																										|
% 43.50/13.70  																											+-Applying beta-rule and splitting (1718), into two cases.
% 43.50/13.70  																											|-Branch one:
% 43.50/13.70  																											| (384) all_0_86_86 = e1
% 43.50/13.70  																											|
% 43.50/13.70  																												| Combining equations (378,384) yields a new equation:
% 43.50/13.70  																												| (865) e1 = e0
% 43.50/13.70  																												|
% 43.50/13.70  																												| Equations (865) can reduce 264 to:
% 43.50/13.70  																												| (311) $false
% 43.50/13.70  																												|
% 43.50/13.70  																												|-The branch is then unsatisfiable
% 43.50/13.70  																											|-Branch two:
% 43.50/13.70  																											| (387)  ~ (all_0_86_86 = e1)
% 43.50/13.70  																											| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 43.50/13.70  																											|
% 43.50/13.70  																												+-Applying beta-rule and splitting (788), into two cases.
% 43.50/13.70  																												|-Branch one:
% 43.50/13.70  																												| (960) all_0_96_96 = e1
% 43.50/13.70  																												|
% 43.50/13.70  																													| Equations (960) can reduce 1479 to:
% 43.50/13.70  																													| (311) $false
% 43.50/13.70  																													|
% 43.50/13.70  																													|-The branch is then unsatisfiable
% 43.50/13.70  																												|-Branch two:
% 43.50/13.70  																												| (1479)  ~ (all_0_96_96 = e1)
% 43.50/13.70  																												| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.50/13.70  																												|
% 43.50/13.70  																													+-Applying beta-rule and splitting (2126), into two cases.
% 43.50/13.70  																													|-Branch one:
% 43.50/13.70  																													| (542) all_0_97_97 = e1
% 43.50/13.70  																													|
% 43.50/13.70  																														| Equations (542) can reduce 195 to:
% 43.50/13.70  																														| (259)  ~ (all_0_84_84 = e1)
% 43.50/13.70  																														|
% 43.50/13.70  																														| Equations (542) can reduce 527 to:
% 43.50/13.70  																														| (487)  ~ (e2 = e1)
% 43.50/13.70  																														|
% 43.50/13.70  																														| Simplifying 487 yields:
% 43.50/13.70  																														| (243)  ~ (e2 = e1)
% 43.50/13.70  																														|
% 43.50/13.70  																														+-Applying beta-rule and splitting (132), into two cases.
% 43.50/13.70  																														|-Branch one:
% 43.50/13.70  																														| (750) all_0_90_90 = e1
% 43.50/13.70  																														|
% 43.50/13.70  																															| From (750) and (217) follows:
% 43.50/13.70  																															| (10289) op(e3, e1) = all_0_48_48
% 43.50/13.70  																															|
% 43.50/13.70  																															| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 43.50/13.70  																															| (13235) all_0_44_44 = e3
% 43.50/13.70  																															|
% 43.50/13.70  																															| Instantiating formula (262) with e3, e1, all_0_48_48, all_0_84_84 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = all_0_84_84, yields:
% 43.50/13.70  																															| (13466) all_0_48_48 = all_0_84_84
% 43.50/13.70  																															|
% 43.50/13.70  																															+-Applying beta-rule and splitting (186), into two cases.
% 43.50/13.70  																															|-Branch one:
% 43.50/13.70  																															| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.50/13.70  																															|
% 43.50/13.70  																																+-Applying beta-rule and splitting (726), into two cases.
% 43.50/13.70  																																|-Branch one:
% 43.50/13.70  																																| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.50/13.70  																																|
% 43.50/13.70  																																	+-Applying beta-rule and splitting (727), into two cases.
% 43.50/13.70  																																	|-Branch one:
% 43.50/13.70  																																	| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.50/13.70  																																	|
% 43.50/13.70  																																		| Applying alpha-rule on (728) yields:
% 43.50/13.70  																																		| (729) all_0_43_43 = e4
% 43.50/13.70  																																		| (730)  ~ (all_0_44_44 = e3)
% 43.50/13.70  																																		|
% 43.50/13.70  																																		| Equations (13235) can reduce 730 to:
% 43.50/13.70  																																		| (311) $false
% 43.50/13.70  																																		|
% 43.50/13.70  																																		|-The branch is then unsatisfiable
% 43.50/13.70  																																	|-Branch two:
% 43.50/13.70  																																	| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.50/13.70  																																	|
% 43.50/13.70  																																		| Applying alpha-rule on (734) yields:
% 43.50/13.70  																																		| (735) all_0_46_46 = e2
% 43.50/13.70  																																		| (736)  ~ (all_0_47_47 = e3)
% 43.50/13.70  																																		|
% 43.50/13.70  																																		| Combining equations (9576,735) yields a new equation:
% 43.50/13.70  																																		| (13555) all_0_85_85 = e2
% 43.50/13.70  																																		|
% 43.50/13.70  																																		| Simplifying 13555 yields:
% 43.50/13.70  																																		| (512) all_0_85_85 = e2
% 43.50/13.70  																																		|
% 43.50/13.70  																																		| Equations (512) can reduce 515 to:
% 43.50/13.70  																																		| (311) $false
% 43.50/13.70  																																		|
% 43.50/13.70  																																		|-The branch is then unsatisfiable
% 43.50/13.70  																																|-Branch two:
% 43.50/13.70  																																| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.50/13.71  																																|
% 43.50/13.71  																																	| Applying alpha-rule on (740) yields:
% 43.50/13.71  																																	| (741) all_0_48_48 = e1
% 43.50/13.71  																																	| (742)  ~ (all_0_49_49 = e3)
% 43.50/13.71  																																	|
% 43.50/13.71  																																	| Combining equations (741,13466) yields a new equation:
% 43.50/13.71  																																	| (13483) all_0_84_84 = e1
% 43.50/13.71  																																	|
% 43.55/13.71  																																	| Equations (13483) can reduce 259 to:
% 43.55/13.71  																																	| (311) $false
% 43.55/13.71  																																	|
% 43.55/13.71  																																	|-The branch is then unsatisfiable
% 43.55/13.71  																															|-Branch two:
% 43.55/13.71  																															| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.55/13.71  																															|
% 43.55/13.71  																																| Applying alpha-rule on (973) yields:
% 43.55/13.71  																																| (974) all_0_50_50 = e0
% 43.55/13.71  																																| (975)  ~ (all_0_51_51 = e3)
% 43.55/13.71  																																|
% 43.55/13.71  																																| Combining equations (13437,974) yields a new equation:
% 43.55/13.71  																																| (923) e2 = e0
% 43.55/13.71  																																|
% 43.55/13.71  																																| Simplifying 923 yields:
% 43.55/13.71  																																| (379) e2 = e0
% 43.55/13.71  																																|
% 43.55/13.71  																																| Equations (379) can reduce 76 to:
% 43.55/13.71  																																| (311) $false
% 43.55/13.71  																																|
% 43.55/13.71  																																|-The branch is then unsatisfiable
% 43.55/13.71  																														|-Branch two:
% 43.55/13.71  																														| (678)  ~ (all_0_90_90 = e1)
% 43.55/13.71  																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.55/13.71  																														|
% 43.55/13.71  																															+-Applying beta-rule and splitting (2122), into two cases.
% 43.55/13.71  																															|-Branch one:
% 43.55/13.71  																															| (750) all_0_90_90 = e1
% 43.55/13.71  																															|
% 43.55/13.71  																																| Equations (750) can reduce 678 to:
% 43.55/13.71  																																| (311) $false
% 43.55/13.71  																																|
% 43.55/13.71  																																|-The branch is then unsatisfiable
% 43.55/13.71  																															|-Branch two:
% 43.55/13.71  																															| (678)  ~ (all_0_90_90 = e1)
% 43.55/13.71  																															| (785) all_0_95_95 = e1
% 43.55/13.71  																															|
% 43.55/13.71  																																| Combining equations (767,785) yields a new equation:
% 43.55/13.71  																																| (408) e2 = e1
% 43.55/13.71  																																|
% 43.55/13.71  																																| Simplifying 408 yields:
% 43.55/13.71  																																| (385) e2 = e1
% 43.55/13.71  																																|
% 43.55/13.71  																																| Equations (385) can reduce 243 to:
% 43.55/13.71  																																| (311) $false
% 43.55/13.71  																																|
% 43.55/13.71  																																|-The branch is then unsatisfiable
% 43.55/13.71  																													|-Branch two:
% 43.55/13.71  																													| (486)  ~ (all_0_97_97 = e1)
% 43.55/13.71  																													| (1543) all_0_98_98 = e1
% 43.55/13.71  																													|
% 43.55/13.71  																														| Equations (1543) can reduce 1804 to:
% 43.55/13.71  																														| (311) $false
% 43.55/13.71  																														|
% 43.55/13.71  																														|-The branch is then unsatisfiable
% 43.55/13.71  																								|-Branch two:
% 43.55/13.71  																								| (418)  ~ (all_0_78_78 = e3)
% 43.55/13.71  																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.55/13.71  																								|
% 43.55/13.71  																									+-Applying beta-rule and splitting (188), into two cases.
% 43.55/13.71  																									|-Branch one:
% 43.55/13.71  																									| (676) all_0_78_78 = e1
% 43.55/13.71  																									|
% 43.55/13.71  																										| Equations (676) can reduce 1601 to:
% 43.55/13.71  																										| (311) $false
% 43.55/13.71  																										|
% 43.55/13.71  																										|-The branch is then unsatisfiable
% 43.55/13.71  																									|-Branch two:
% 43.55/13.71  																									| (1601)  ~ (all_0_78_78 = e1)
% 43.55/13.71  																									| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 43.55/13.71  																									|
% 43.55/13.71  																										+-Applying beta-rule and splitting (24), into two cases.
% 43.55/13.71  																										|-Branch one:
% 43.55/13.71  																										| (400) all_0_78_78 = e2
% 43.55/13.71  																										|
% 43.55/13.71  																											| Equations (400) can reduce 346 to:
% 43.55/13.71  																											| (311) $false
% 43.55/13.71  																											|
% 43.55/13.71  																											|-The branch is then unsatisfiable
% 43.55/13.71  																										|-Branch two:
% 43.55/13.71  																										| (346)  ~ (all_0_78_78 = e2)
% 43.55/13.71  																										| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 43.55/13.71  																										|
% 43.55/13.71  																											+-Applying beta-rule and splitting (675), into two cases.
% 43.55/13.71  																											|-Branch one:
% 43.55/13.71  																											| (676) all_0_78_78 = e1
% 43.55/13.71  																											|
% 43.55/13.71  																												| Equations (676) can reduce 1601 to:
% 43.55/13.71  																												| (311) $false
% 43.55/13.71  																												|
% 43.55/13.71  																												|-The branch is then unsatisfiable
% 43.55/13.71  																											|-Branch two:
% 43.55/13.71  																											| (1601)  ~ (all_0_78_78 = e1)
% 43.55/13.71  																											| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 43.55/13.71  																											|
% 43.55/13.71  																												+-Applying beta-rule and splitting (1606), into two cases.
% 43.55/13.71  																												|-Branch one:
% 43.55/13.71  																												| (771) all_0_78_78 = e3
% 43.55/13.71  																												|
% 43.55/13.71  																													| Equations (771) can reduce 418 to:
% 43.55/13.71  																													| (311) $false
% 43.55/13.71  																													|
% 43.55/13.71  																													|-The branch is then unsatisfiable
% 43.55/13.71  																												|-Branch two:
% 43.55/13.71  																												| (418)  ~ (all_0_78_78 = e3)
% 43.55/13.71  																												| (463) all_0_78_78 = e4
% 43.55/13.71  																												|
% 43.55/13.71  																													| Equations (463) can reduce 640 to:
% 43.55/13.71  																													| (311) $false
% 43.55/13.71  																													|
% 43.55/13.71  																													|-The branch is then unsatisfiable
% 43.55/13.71  																							|-Branch two:
% 43.55/13.71  																							| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 43.55/13.71  																							|
% 43.55/13.71  																								| Applying alpha-rule on (411) yields:
% 43.55/13.71  																								| (337) all_0_41_41 = e0
% 43.55/13.71  																								| (413)  ~ (all_0_42_42 = e4)
% 43.55/13.71  																								|
% 43.55/13.71  																								| Equations (336) can reduce 413 to:
% 43.55/13.71  																								| (311) $false
% 43.55/13.71  																								|
% 43.55/13.71  																								|-The branch is then unsatisfiable
% 43.55/13.71  																						|-Branch two:
% 43.55/13.71  																						| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 43.55/13.71  																						|
% 43.55/13.71  																							| Applying alpha-rule on (415) yields:
% 43.55/13.71  																							| (416) all_0_80_80 = e3
% 43.55/13.71  																							| (417)  ~ (all_0_84_84 = e4)
% 43.55/13.71  																							|
% 43.55/13.71  																							| Combining equations (433,416) yields a new equation:
% 43.55/13.71  																							| (790) e4 = e3
% 43.55/13.71  																							|
% 43.55/13.71  																							| Simplifying 790 yields:
% 43.55/13.71  																							| (434) e4 = e3
% 43.55/13.71  																							|
% 43.55/13.71  																							| Equations (434) can reduce 177 to:
% 43.55/13.71  																							| (311) $false
% 43.55/13.71  																							|
% 43.55/13.71  																							|-The branch is then unsatisfiable
% 43.55/13.71  																				|-Branch two:
% 43.55/13.71  																				| (436)  ~ (all_0_80_80 = e4)
% 43.55/13.71  																				| (638) all_0_81_81 = e4
% 43.55/13.71  																				|
% 43.55/13.71  																					| Combining equations (473,638) yields a new equation:
% 43.55/13.71  																					| (310) e4 = e2
% 43.55/13.71  																					|
% 43.55/13.71  																					| Equations (310) can reduce 79 to:
% 43.55/13.71  																					| (311) $false
% 43.55/13.71  																					|
% 43.55/13.71  																					|-The branch is then unsatisfiable
% 43.55/13.71  													|-Branch two:
% 43.55/13.71  													| (398)  ~ (all_0_83_83 = e2)
% 43.55/13.71  													| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 43.55/13.71  													|
% 43.55/13.71  														+-Applying beta-rule and splitting (537), into two cases.
% 43.55/13.71  														|-Branch one:
% 43.55/13.71  														| (552) all_0_84_84 = e2
% 43.55/13.71  														|
% 43.55/13.71  															| Equations (552) can reduce 612 to:
% 43.55/13.71  															| (311) $false
% 43.55/13.71  															|
% 43.55/13.71  															|-The branch is then unsatisfiable
% 43.55/13.71  														|-Branch two:
% 43.55/13.71  														| (612)  ~ (all_0_84_84 = e2)
% 43.55/13.71  														| (512) all_0_85_85 = e2
% 43.55/13.71  														|
% 43.55/13.71  															| Equations (512) can reduce 515 to:
% 43.55/13.71  															| (311) $false
% 43.55/13.71  															|
% 43.55/13.71  															|-The branch is then unsatisfiable
% 43.55/13.71  							|-Branch two:
% 43.55/13.71  							| (479)  ~ (all_0_88_88 = e1)
% 43.55/13.71  							| (507) all_0_88_88 = e0
% 43.55/13.71  							|
% 43.55/13.71  								| Equations (507) can reduce 1110 to:
% 43.55/13.71  								| (311) $false
% 43.55/13.71  								|
% 43.55/13.71  								|-The branch is then unsatisfiable
% 43.55/13.71  						|-Branch two:
% 43.55/13.71  						| (381)  ~ (all_0_86_86 = e0)
% 43.55/13.71  						| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 43.55/13.71  						|
% 43.55/13.71  							+-Applying beta-rule and splitting (382), into two cases.
% 43.55/13.71  							|-Branch one:
% 43.55/13.71  							| (861) all_0_87_87 = e0
% 43.55/13.71  							|
% 43.55/13.71  								| Combining equations (861,374) yields a new equation:
% 43.55/13.71  								| (379) e2 = e0
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (379) can reduce 76 to:
% 43.55/13.71  								| (311) $false
% 43.55/13.71  								|
% 43.55/13.71  								|-The branch is then unsatisfiable
% 43.55/13.71  							|-Branch two:
% 43.55/13.71  							| (889)  ~ (all_0_87_87 = e0)
% 43.55/13.71  							| (507) all_0_88_88 = e0
% 43.55/13.71  							|
% 43.55/13.71  								| Equations (507) can reduce 266 to:
% 43.55/13.71  								| (257)  ~ (all_0_81_81 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 78 to:
% 43.55/13.71  								| (800)  ~ (all_0_85_85 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 80 to:
% 43.55/13.71  								| (381)  ~ (all_0_86_86 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 286 to:
% 43.55/13.71  								| (508)  ~ (all_0_93_93 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Simplifying 508 yields:
% 43.55/13.71  								| (509)  ~ (all_0_93_93 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 31 to:
% 43.55/13.71  								| (2058)  ~ (all_0_98_98 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Simplifying 2058 yields:
% 43.55/13.71  								| (2059)  ~ (all_0_98_98 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 93 to:
% 43.55/13.71  								| (904)  ~ (e4 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Simplifying 904 yields:
% 43.55/13.71  								| (23)  ~ (e4 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 191 to:
% 43.55/13.71  								| (906)  ~ (e3 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Simplifying 906 yields:
% 43.55/13.71  								| (50)  ~ (e3 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Equations (507) can reduce 351 to:
% 43.55/13.71  								| (510)  ~ (e2 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| Simplifying 510 yields:
% 43.55/13.71  								| (76)  ~ (e2 = e0)
% 43.55/13.71  								|
% 43.55/13.71  								| From (507) and (161) follows:
% 43.55/13.71  								| (2169) op(e2, e0) = all_0_74_74
% 43.55/13.71  								|
% 43.55/13.71  								| From (507) and (230) follows:
% 43.55/13.71  								| (2170) op(e2, e0) = e0
% 43.55/13.71  								|
% 43.55/13.71  								| From (507) and (239) follows:
% 43.55/13.71  								| (1338) op(e0, e0) = all_0_73_73
% 43.55/13.71  								|
% 43.55/13.71  								+-Applying beta-rule and splitting (42), into two cases.
% 43.55/13.71  								|-Branch one:
% 43.55/13.71  								| (384) all_0_86_86 = e1
% 43.55/13.71  								|
% 43.55/13.71  									| Equations (384) can reduce 82 to:
% 43.55/13.71  									| (1601)  ~ (all_0_78_78 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 81 to:
% 43.55/13.71  									| (198)  ~ (all_0_82_82 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 139 to:
% 43.55/13.71  									| (677)  ~ (all_0_90_90 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Simplifying 677 yields:
% 43.55/13.71  									| (678)  ~ (all_0_90_90 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 91 to:
% 43.55/13.71  									| (679)  ~ (all_0_95_95 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Simplifying 679 yields:
% 43.55/13.71  									| (680)  ~ (all_0_95_95 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 241 to:
% 43.55/13.71  									| (681)  ~ (e4 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Simplifying 681 yields:
% 43.55/13.71  									| (256)  ~ (e4 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 134 to:
% 43.55/13.71  									| (683)  ~ (e3 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Simplifying 683 yields:
% 43.55/13.71  									| (20)  ~ (e3 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 9507 to:
% 43.55/13.71  									| (487)  ~ (e2 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Simplifying 487 yields:
% 43.55/13.71  									| (243)  ~ (e2 = e1)
% 43.55/13.71  									|
% 43.55/13.71  									| Equations (384) can reduce 381 to:
% 43.55/13.71  									| (264)  ~ (e1 = e0)
% 43.55/13.71  									|
% 43.55/13.71  									| From (384) and (110) follows:
% 43.55/13.71  									| (13661) op(e3, e1) = all_0_46_46
% 43.55/13.71  									|
% 43.55/13.71  									| From (384) and (167) follows:
% 43.55/13.71  									| (13662) op(e2, e1) = all_0_47_47
% 43.55/13.71  									|
% 43.55/13.71  									| From (384) and (245) follows:
% 43.55/13.71  									| (1844) op(e2, e3) = e1
% 43.55/13.71  									|
% 43.55/13.71  									| Instantiating formula (262) with e3, e1, all_0_46_46, all_0_84_84 and discharging atoms op(e3, e1) = all_0_46_46, op(e3, e1) = all_0_84_84, yields:
% 43.55/13.71  									| (13664) all_0_46_46 = all_0_84_84
% 43.55/13.71  									|
% 43.55/13.71  									| Instantiating formula (262) with e2, e1, all_0_47_47, e2 and discharging atoms op(e2, e1) = all_0_47_47, op(e2, e1) = e2, yields:
% 43.55/13.71  									| (13665) all_0_47_47 = e2
% 43.55/13.71  									|
% 43.55/13.71  									| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 43.55/13.71  									| (1965) all_0_74_74 = e0
% 43.55/13.71  									|
% 43.55/13.71  									| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_98_98 and discharging atoms op(e0, e0) = all_0_73_73, op(e0, e0) = all_0_98_98, yields:
% 43.55/13.71  									| (1370) all_0_73_73 = all_0_98_98
% 43.55/13.71  									|
% 43.55/13.71  									| From (13665) and (13662) follows:
% 43.55/13.72  									| (9530) op(e2, e1) = e2
% 43.55/13.72  									|
% 43.55/13.72  									| From (1965) and (2169) follows:
% 43.55/13.72  									| (2170) op(e2, e0) = e0
% 43.55/13.72  									|
% 43.55/13.72  									| From (1370) and (1338) follows:
% 43.55/13.72  									| (38) op(e0, e0) = all_0_98_98
% 43.55/13.72  									|
% 43.55/13.72  									+-Applying beta-rule and splitting (143), into two cases.
% 43.55/13.72  									|-Branch one:
% 43.55/13.72  									| (390) all_0_79_79 = e2
% 43.55/13.72  									|
% 43.55/13.72  										| Combining equations (390,331) yields a new equation:
% 43.55/13.72  										| (391) all_0_39_39 = e2
% 43.55/13.72  										|
% 43.55/13.72  										| Equations (390) can reduce 66 to:
% 43.55/13.72  										| (346)  ~ (all_0_78_78 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Equations (390) can reduce 15 to:
% 43.55/13.72  										| (395)  ~ (all_0_81_81 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Simplifying 395 yields:
% 43.55/13.72  										| (396)  ~ (all_0_81_81 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Equations (390) can reduce 272 to:
% 43.55/13.72  										| (397)  ~ (all_0_83_83 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Simplifying 397 yields:
% 43.55/13.72  										| (398)  ~ (all_0_83_83 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Equations (390) can reduce 17 to:
% 43.55/13.72  										| (295)  ~ (all_0_91_91 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Simplifying 295 yields:
% 43.55/13.72  										| (296)  ~ (all_0_91_91 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Equations (390) can reduce 214 to:
% 43.55/13.72  										| (1637)  ~ (all_0_96_96 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										| Simplifying 1637 yields:
% 43.55/13.72  										| (1638)  ~ (all_0_96_96 = e2)
% 43.55/13.72  										|
% 43.55/13.72  										+-Applying beta-rule and splitting (70), into two cases.
% 43.55/13.72  										|-Branch one:
% 43.55/13.72  										| (400) all_0_78_78 = e2
% 43.55/13.72  										|
% 43.55/13.72  											| Equations (400) can reduce 346 to:
% 43.55/13.72  											| (311) $false
% 43.55/13.72  											|
% 43.55/13.72  											|-The branch is then unsatisfiable
% 43.55/13.72  										|-Branch two:
% 43.55/13.72  										| (346)  ~ (all_0_78_78 = e2)
% 43.55/13.72  										| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 43.55/13.72  										|
% 43.55/13.72  											+-Applying beta-rule and splitting (403), into two cases.
% 43.55/13.72  											|-Branch one:
% 43.55/13.72  											| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 43.55/13.72  											|
% 43.55/13.72  												+-Applying beta-rule and splitting (404), into two cases.
% 43.55/13.72  												|-Branch one:
% 43.55/13.72  												| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 43.55/13.72  												|
% 43.55/13.72  													| Applying alpha-rule on (405) yields:
% 43.55/13.72  													| (406) all_0_39_39 = e1
% 43.55/13.72  													| (407)  ~ (all_0_40_40 = e4)
% 43.55/13.72  													|
% 43.55/13.72  													| Combining equations (406,391) yields a new equation:
% 43.55/13.72  													| (385) e2 = e1
% 43.55/13.72  													|
% 43.55/13.72  													| Equations (385) can reduce 243 to:
% 43.55/13.72  													| (311) $false
% 43.55/13.72  													|
% 43.55/13.72  													|-The branch is then unsatisfiable
% 43.55/13.72  												|-Branch two:
% 43.55/13.72  												| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 43.55/13.72  												|
% 43.55/13.72  													| Applying alpha-rule on (411) yields:
% 43.55/13.72  													| (337) all_0_41_41 = e0
% 43.55/13.72  													| (413)  ~ (all_0_42_42 = e4)
% 43.55/13.72  													|
% 43.55/13.72  													| Equations (336) can reduce 413 to:
% 43.55/13.72  													| (311) $false
% 43.55/13.72  													|
% 43.55/13.72  													|-The branch is then unsatisfiable
% 43.55/13.72  											|-Branch two:
% 43.55/13.72  											| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 43.55/13.72  											|
% 43.55/13.72  												| Applying alpha-rule on (415) yields:
% 43.55/13.72  												| (416) all_0_80_80 = e3
% 43.55/13.72  												| (417)  ~ (all_0_84_84 = e4)
% 43.55/13.72  												|
% 43.55/13.72  												| Equations (416) can reduce 67 to:
% 43.55/13.72  												| (418)  ~ (all_0_78_78 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Equations (416) can reduce 144 to:
% 43.55/13.72  												| (419)  ~ (all_0_81_81 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Simplifying 419 yields:
% 43.55/13.72  												| (420)  ~ (all_0_81_81 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Equations (416) can reduce 273 to:
% 43.55/13.72  												| (421)  ~ (all_0_84_84 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Simplifying 421 yields:
% 43.55/13.72  												| (422)  ~ (all_0_84_84 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Equations (416) can reduce 49 to:
% 43.55/13.72  												| (425)  ~ (all_0_92_92 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Simplifying 425 yields:
% 43.55/13.72  												| (426)  ~ (all_0_92_92 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Equations (416) can reduce 202 to:
% 43.55/13.72  												| (427)  ~ (all_0_97_97 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												| Simplifying 427 yields:
% 43.55/13.72  												| (428)  ~ (all_0_97_97 = e3)
% 43.55/13.72  												|
% 43.55/13.72  												+-Applying beta-rule and splitting (24), into two cases.
% 43.55/13.72  												|-Branch one:
% 43.55/13.72  												| (400) all_0_78_78 = e2
% 43.55/13.72  												|
% 43.55/13.72  													| Equations (400) can reduce 346 to:
% 43.55/13.72  													| (311) $false
% 43.55/13.72  													|
% 43.55/13.72  													|-The branch is then unsatisfiable
% 43.55/13.72  												|-Branch two:
% 43.55/13.72  												| (346)  ~ (all_0_78_78 = e2)
% 43.55/13.72  												| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 43.55/13.72  												|
% 43.55/13.72  													+-Applying beta-rule and splitting (675), into two cases.
% 43.55/13.72  													|-Branch one:
% 43.55/13.72  													| (676) all_0_78_78 = e1
% 43.55/13.72  													|
% 43.55/13.72  														| Equations (676) can reduce 1601 to:
% 43.55/13.72  														| (311) $false
% 43.55/13.72  														|
% 43.55/13.72  														|-The branch is then unsatisfiable
% 43.55/13.72  													|-Branch two:
% 43.55/13.72  													| (1601)  ~ (all_0_78_78 = e1)
% 43.55/13.72  													| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 43.55/13.72  													|
% 43.55/13.72  														+-Applying beta-rule and splitting (1606), into two cases.
% 43.55/13.72  														|-Branch one:
% 43.55/13.72  														| (771) all_0_78_78 = e3
% 43.55/13.72  														|
% 43.55/13.72  															| Equations (771) can reduce 418 to:
% 43.55/13.72  															| (311) $false
% 43.55/13.72  															|
% 43.55/13.72  															|-The branch is then unsatisfiable
% 43.55/13.72  														|-Branch two:
% 43.55/13.72  														| (418)  ~ (all_0_78_78 = e3)
% 43.55/13.72  														| (463) all_0_78_78 = e4
% 43.55/13.72  														|
% 43.55/13.72  															| Equations (463) can reduce 278 to:
% 43.55/13.72  															| (1730)  ~ (all_0_81_81 = e4)
% 43.55/13.72  															|
% 43.55/13.72  															| Simplifying 1730 yields:
% 43.55/13.72  															| (634)  ~ (all_0_81_81 = e4)
% 43.55/13.72  															|
% 43.55/13.72  															| Equations (463) can reduce 125 to:
% 43.55/13.72  															| (314)  ~ (all_0_95_95 = e4)
% 43.55/13.72  															|
% 43.55/13.72  															| Simplifying 314 yields:
% 43.55/13.72  															| (315)  ~ (all_0_95_95 = e4)
% 43.55/13.72  															|
% 43.55/13.72  															| Equations (463) can reduce 346 to:
% 43.55/13.72  															| (79)  ~ (e4 = e2)
% 43.55/13.72  															|
% 43.55/13.72  															| From (463) and (138) follows:
% 43.55/13.72  															| (12255) op(e3, e4) = all_0_43_43
% 43.55/13.72  															|
% 43.55/13.72  															+-Applying beta-rule and splitting (92), into two cases.
% 43.55/13.72  															|-Branch one:
% 43.55/13.72  															| (552) all_0_84_84 = e2
% 43.55/13.72  															|
% 43.55/13.72  																| Equations (552) can reduce 612 to:
% 43.55/13.72  																| (311) $false
% 43.55/13.72  																|
% 43.55/13.72  																|-The branch is then unsatisfiable
% 43.55/13.72  															|-Branch two:
% 43.55/13.72  															| (612)  ~ (all_0_84_84 = e2)
% 43.55/13.72  															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.55/13.72  															|
% 43.55/13.72  																+-Applying beta-rule and splitting (617), into two cases.
% 43.55/13.72  																|-Branch one:
% 43.55/13.72  																| (1265) all_0_84_84 = e3
% 43.55/13.72  																|
% 43.55/13.72  																	| Equations (1265) can reduce 422 to:
% 43.55/13.72  																	| (311) $false
% 43.55/13.72  																	|
% 43.55/13.72  																	|-The branch is then unsatisfiable
% 43.55/13.72  																|-Branch two:
% 43.55/13.72  																| (422)  ~ (all_0_84_84 = e3)
% 43.55/13.72  																| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.55/13.72  																|
% 43.55/13.72  																	+-Applying beta-rule and splitting (1268), into two cases.
% 43.55/13.72  																	|-Branch one:
% 43.55/13.72  																	| (916) all_0_84_84 = e0
% 43.55/13.72  																	|
% 43.55/13.72  																		| Combining equations (916,13664) yields a new equation:
% 43.55/13.72  																		| (10066) all_0_46_46 = e0
% 43.55/13.72  																		|
% 43.55/13.72  																		| Equations (916) can reduce 223 to:
% 43.55/13.72  																		| (1314)  ~ (all_0_83_83 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Equations (916) can reduce 154 to:
% 43.55/13.72  																		| (799)  ~ (all_0_85_85 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Simplifying 799 yields:
% 43.55/13.72  																		| (800)  ~ (all_0_85_85 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Equations (916) can reduce 87 to:
% 43.55/13.72  																		| (2299)  ~ (all_0_92_92 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Simplifying 2299 yields:
% 43.55/13.72  																		| (946)  ~ (all_0_92_92 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Equations (916) can reduce 195 to:
% 43.55/13.72  																		| (938)  ~ (all_0_97_97 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		| Simplifying 938 yields:
% 43.55/13.72  																		| (609)  ~ (all_0_97_97 = e0)
% 43.55/13.72  																		|
% 43.55/13.72  																		+-Applying beta-rule and splitting (123), into two cases.
% 43.55/13.72  																		|-Branch one:
% 43.55/13.72  																		| (473) all_0_81_81 = e2
% 43.55/13.72  																		|
% 43.55/13.72  																			| Equations (473) can reduce 396 to:
% 43.55/13.72  																			| (311) $false
% 43.55/13.72  																			|
% 43.55/13.72  																			|-The branch is then unsatisfiable
% 43.55/13.72  																		|-Branch two:
% 43.55/13.72  																		| (396)  ~ (all_0_81_81 = e2)
% 43.55/13.72  																		| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.55/13.72  																		|
% 43.55/13.72  																			+-Applying beta-rule and splitting (52), into two cases.
% 43.55/13.72  																			|-Branch one:
% 43.55/13.72  																			| (453) all_0_83_83 = e2
% 43.55/13.72  																			|
% 43.55/13.72  																				| Equations (453) can reduce 398 to:
% 43.55/13.72  																				| (311) $false
% 43.55/13.72  																				|
% 43.55/13.72  																				|-The branch is then unsatisfiable
% 43.55/13.72  																			|-Branch two:
% 43.55/13.72  																			| (398)  ~ (all_0_83_83 = e2)
% 43.55/13.72  																			| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 43.55/13.72  																			|
% 43.55/13.72  																				+-Applying beta-rule and splitting (476), into two cases.
% 43.55/13.72  																				|-Branch one:
% 43.55/13.72  																				| (477) all_0_81_81 = e1
% 43.55/13.72  																				|
% 43.55/13.72  																					+-Applying beta-rule and splitting (112), into two cases.
% 43.55/13.72  																					|-Branch one:
% 43.55/13.72  																					| (538) all_0_97_97 = e2
% 43.55/13.72  																					|
% 43.55/13.72  																						| Equations (538) can reduce 527 to:
% 43.55/13.72  																						| (311) $false
% 43.55/13.72  																						|
% 43.55/13.72  																						|-The branch is then unsatisfiable
% 43.55/13.72  																					|-Branch two:
% 43.55/13.72  																					| (527)  ~ (all_0_97_97 = e2)
% 43.55/13.72  																					| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 43.55/13.72  																					|
% 43.55/13.72  																						+-Applying beta-rule and splitting (541), into two cases.
% 43.55/13.72  																						|-Branch one:
% 43.55/13.72  																						| (542) all_0_97_97 = e1
% 43.55/13.72  																						|
% 43.55/13.72  																							| Equations (542) can reduce 22 to:
% 43.55/13.72  																							| (1479)  ~ (all_0_96_96 = e1)
% 43.55/13.72  																							|
% 43.55/13.72  																							| Equations (542) can reduce 527 to:
% 43.55/13.72  																							| (487)  ~ (e2 = e1)
% 43.55/13.72  																							|
% 43.55/13.72  																							| Simplifying 487 yields:
% 43.55/13.72  																							| (243)  ~ (e2 = e1)
% 43.55/13.72  																							|
% 43.55/13.72  																							| Equations (542) can reduce 609 to:
% 43.55/13.72  																							| (264)  ~ (e1 = e0)
% 43.55/13.72  																							|
% 43.55/13.72  																							+-Applying beta-rule and splitting (127), into two cases.
% 43.55/13.72  																							|-Branch one:
% 43.55/13.72  																							| (457) all_0_79_79 = e1
% 43.55/13.72  																							|
% 43.55/13.72  																								| Combining equations (390,457) yields a new equation:
% 43.55/13.72  																								| (408) e2 = e1
% 43.55/13.72  																								|
% 43.55/13.72  																								| Simplifying 408 yields:
% 43.55/13.72  																								| (385) e2 = e1
% 43.55/13.72  																								|
% 43.55/13.72  																								| Equations (385) can reduce 243 to:
% 43.55/13.72  																								| (311) $false
% 43.55/13.72  																								|
% 43.55/13.72  																								|-The branch is then unsatisfiable
% 43.55/13.72  																							|-Branch two:
% 43.55/13.72  																							| (461)  ~ (all_0_79_79 = e1)
% 43.55/13.72  																							| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.55/13.72  																							|
% 43.55/13.72  																								+-Applying beta-rule and splitting (456), into two cases.
% 43.55/13.72  																								|-Branch one:
% 43.55/13.72  																								| (795) all_0_83_83 = e3
% 43.55/13.72  																								|
% 43.55/13.72  																									| Equations (795) can reduce 116 to:
% 43.55/13.72  																									| (793)  ~ (all_0_82_82 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Equations (795) can reduce 146 to:
% 43.55/13.72  																									| (1298)  ~ (all_0_91_91 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Simplifying 1298 yields:
% 43.55/13.72  																									| (571)  ~ (all_0_91_91 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Equations (795) can reduce 211 to:
% 43.55/13.72  																									| (1300)  ~ (all_0_96_96 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Simplifying 1300 yields:
% 43.55/13.72  																									| (964)  ~ (all_0_96_96 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Equations (795) can reduce 155 to:
% 43.55/13.72  																									| (783)  ~ (e4 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Simplifying 783 yields:
% 43.55/13.72  																									| (177)  ~ (e4 = e3)
% 43.55/13.72  																									|
% 43.55/13.72  																									| Equations (795) can reduce 1314 to:
% 43.55/13.72  																									| (50)  ~ (e3 = e0)
% 43.55/13.72  																									|
% 43.55/13.72  																									| From (795) and (163) follows:
% 43.55/13.72  																									| (12239) op(e3, e3) = all_0_55_55
% 43.55/13.72  																									|
% 43.55/13.72  																									+-Applying beta-rule and splitting (462), into two cases.
% 43.55/13.72  																									|-Branch one:
% 43.55/13.72  																									| (801) all_0_91_91 = e1
% 43.55/13.72  																									|
% 43.55/13.72  																										| Equations (801) can reduce 103 to:
% 43.55/13.72  																										| (678)  ~ (all_0_90_90 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 265 to:
% 43.55/13.72  																										| (2131)  ~ (all_0_92_92 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 2131 yields:
% 43.55/13.72  																										| (840)  ~ (all_0_92_92 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 44 to:
% 43.55/13.72  																										| (480)  ~ (all_0_93_93 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 480 yields:
% 43.55/13.72  																										| (481)  ~ (all_0_93_93 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 64 to:
% 43.55/13.72  																										| (1671)  ~ (all_0_96_96 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 1671 yields:
% 43.55/13.72  																										| (1479)  ~ (all_0_96_96 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 133 to:
% 43.55/13.72  																										| (681)  ~ (e4 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 681 yields:
% 43.55/13.72  																										| (256)  ~ (e4 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 571 to:
% 43.55/13.72  																										| (683)  ~ (e3 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 683 yields:
% 43.55/13.72  																										| (20)  ~ (e3 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Equations (801) can reduce 296 to:
% 43.55/13.72  																										| (487)  ~ (e2 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										| Simplifying 487 yields:
% 43.55/13.72  																										| (243)  ~ (e2 = e1)
% 43.55/13.72  																										|
% 43.55/13.72  																										+-Applying beta-rule and splitting (291), into two cases.
% 43.55/13.72  																										|-Branch one:
% 43.55/13.72  																										| (758) all_0_90_90 = e0
% 43.55/13.72  																										|
% 43.55/13.72  																											| Equations (758) can reduce 34 to:
% 43.55/13.72  																											| (508)  ~ (all_0_93_93 = e0)
% 43.55/13.72  																											|
% 43.55/13.72  																											| Simplifying 508 yields:
% 43.55/13.72  																											| (509)  ~ (all_0_93_93 = e0)
% 43.55/13.72  																											|
% 43.55/13.72  																											| Equations (758) can reduce 678 to:
% 43.55/13.72  																											| (859)  ~ (e1 = e0)
% 43.55/13.72  																											|
% 43.55/13.72  																											| Simplifying 859 yields:
% 43.55/13.72  																											| (264)  ~ (e1 = e0)
% 43.55/13.72  																											|
% 43.55/13.72  																											| From (758) and (217) follows:
% 43.55/13.72  																											| (13796) op(e3, e0) = all_0_48_48
% 43.55/13.72  																											|
% 43.55/13.72  																											+-Applying beta-rule and splitting (219), into two cases.
% 43.55/13.72  																											|-Branch one:
% 43.55/13.72  																											| (798) all_0_83_83 = e0
% 43.55/13.72  																											|
% 43.55/13.72  																												| Combining equations (795,798) yields a new equation:
% 43.55/13.72  																												| (599) e3 = e0
% 43.55/13.72  																												|
% 43.55/13.72  																												| Simplifying 599 yields:
% 43.55/13.72  																												| (600) e3 = e0
% 43.55/13.72  																												|
% 43.55/13.72  																												| Equations (600) can reduce 50 to:
% 43.55/13.72  																												| (311) $false
% 43.55/13.72  																												|
% 43.55/13.72  																												|-The branch is then unsatisfiable
% 43.55/13.72  																											|-Branch two:
% 43.55/13.72  																											| (1314)  ~ (all_0_83_83 = e0)
% 43.55/13.72  																											| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.55/13.72  																											|
% 43.55/13.72  																												| Equations (795) can reduce 1314 to:
% 43.55/13.72  																												| (50)  ~ (e3 = e0)
% 43.55/13.72  																												|
% 43.55/13.72  																												+-Applying beta-rule and splitting (282), into two cases.
% 43.55/13.72  																												|-Branch one:
% 43.55/13.72  																												| (754) all_0_90_90 = e3
% 43.55/13.72  																												|
% 43.55/13.72  																													| Combining equations (758,754) yields a new equation:
% 43.55/13.72  																													| (600) e3 = e0
% 43.55/13.72  																													|
% 43.55/13.72  																													| Equations (600) can reduce 50 to:
% 43.55/13.72  																													| (311) $false
% 43.55/13.72  																													|
% 43.55/13.72  																													|-The branch is then unsatisfiable
% 43.55/13.72  																												|-Branch two:
% 43.55/13.72  																												| (745)  ~ (all_0_90_90 = e3)
% 43.55/13.72  																												| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.55/13.72  																												|
% 43.55/13.72  																													+-Applying beta-rule and splitting (849), into two cases.
% 43.55/13.72  																													|-Branch one:
% 43.55/13.72  																													| (588) all_0_91_91 = e3
% 43.55/13.72  																													|
% 43.55/13.72  																														| Combining equations (588,801) yields a new equation:
% 43.55/13.72  																														| (825) e3 = e1
% 43.55/13.72  																														|
% 43.55/13.72  																														| Simplifying 825 yields:
% 43.55/13.72  																														| (772) e3 = e1
% 43.55/13.72  																														|
% 43.55/13.72  																														| Equations (772) can reduce 20 to:
% 43.55/13.72  																														| (311) $false
% 43.55/13.72  																														|
% 43.55/13.72  																														|-The branch is then unsatisfiable
% 43.55/13.72  																													|-Branch two:
% 43.55/13.72  																													| (571)  ~ (all_0_91_91 = e3)
% 43.55/13.72  																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 43.55/13.72  																													|
% 43.55/13.72  																														+-Applying beta-rule and splitting (881), into two cases.
% 43.55/13.72  																														|-Branch one:
% 43.55/13.72  																														| (882) all_0_92_92 = e3
% 43.55/13.72  																														|
% 43.55/13.72  																															| Equations (882) can reduce 426 to:
% 43.55/13.72  																															| (311) $false
% 43.55/13.72  																															|
% 43.55/13.72  																															|-The branch is then unsatisfiable
% 43.55/13.72  																														|-Branch two:
% 43.55/13.72  																														| (426)  ~ (all_0_92_92 = e3)
% 43.55/13.72  																														| (570) all_0_93_93 = e3
% 43.55/13.72  																														|
% 43.55/13.72  																															| Equations (570) can reduce 201 to:
% 43.55/13.72  																															| (952)  ~ (all_0_85_85 = e3)
% 43.55/13.72  																															|
% 43.55/13.72  																															| Equations (570) can reduce 13 to:
% 43.55/13.72  																															| (1518)  ~ (all_0_98_98 = e3)
% 43.55/13.72  																															|
% 43.55/13.72  																															| Simplifying 1518 yields:
% 43.55/13.72  																															| (1519)  ~ (all_0_98_98 = e3)
% 43.55/13.72  																															|
% 43.55/13.72  																															| Equations (570) can reduce 300 to:
% 43.55/13.72  																															| (169)  ~ (e3 = e2)
% 43.55/13.72  																															|
% 43.55/13.72  																															| Equations (570) can reduce 481 to:
% 43.55/13.72  																															| (20)  ~ (e3 = e1)
% 43.55/13.72  																															|
% 43.55/13.72  																															| Equations (570) can reduce 509 to:
% 43.55/13.72  																															| (50)  ~ (e3 = e0)
% 43.55/13.72  																															|
% 43.55/13.72  																															+-Applying beta-rule and splitting (46), into two cases.
% 43.55/13.72  																															|-Branch one:
% 43.55/13.72  																															| (308) all_0_89_89 = e4
% 43.55/13.72  																															|
% 43.55/13.72  																																| Combining equations (292,308) yields a new equation:
% 43.55/13.72  																																| (310) e4 = e2
% 43.55/13.72  																																|
% 43.55/13.73  																																| Equations (310) can reduce 79 to:
% 43.55/13.73  																																| (311) $false
% 43.55/13.73  																																|
% 43.55/13.73  																																|-The branch is then unsatisfiable
% 43.55/13.73  																															|-Branch two:
% 43.55/13.73  																															| (312)  ~ (all_0_89_89 = e4)
% 43.55/13.73  																															| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.55/13.73  																															|
% 43.55/13.73  																																+-Applying beta-rule and splitting (168), into two cases.
% 43.55/13.73  																																|-Branch one:
% 43.55/13.73  																																| (638) all_0_81_81 = e4
% 43.55/13.73  																																|
% 43.55/13.73  																																	| Combining equations (477,638) yields a new equation:
% 43.55/13.73  																																	| (814) e4 = e1
% 43.55/13.73  																																	|
% 43.55/13.73  																																	| Equations (814) can reduce 256 to:
% 43.55/13.73  																																	| (311) $false
% 43.55/13.73  																																	|
% 43.55/13.73  																																	|-The branch is then unsatisfiable
% 43.55/13.73  																																|-Branch two:
% 43.55/13.73  																																| (634)  ~ (all_0_81_81 = e4)
% 43.55/13.73  																																| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.55/13.73  																																|
% 43.55/13.73  																																	+-Applying beta-rule and splitting (2559), into two cases.
% 43.55/13.73  																																	|-Branch one:
% 43.55/13.73  																																	| (493) all_0_85_85 = e4
% 43.55/13.73  																																	|
% 43.55/13.73  																																		| Equations (493) can reduce 75 to:
% 43.55/13.73  																																		| (320)  ~ (all_0_98_98 = e4)
% 43.55/13.73  																																		|
% 43.55/13.73  																																		| Simplifying 320 yields:
% 43.55/13.73  																																		| (321)  ~ (all_0_98_98 = e4)
% 43.55/13.73  																																		|
% 43.55/13.73  																																		| Equations (493) can reduce 952 to:
% 43.55/13.73  																																		| (177)  ~ (e4 = e3)
% 43.55/13.73  																																		|
% 43.55/13.73  																																		| Equations (493) can reduce 800 to:
% 43.55/13.73  																																		| (23)  ~ (e4 = e0)
% 43.55/13.73  																																		|
% 43.55/13.73  																																		| From (493) and (197) follows:
% 43.55/13.73  																																		| (4405) op(e3, e4) = all_0_72_72
% 43.55/13.73  																																		|
% 43.55/13.73  																																		| From (493) and (8) follows:
% 43.55/13.73  																																		| (4406) op(e3, e0) = e4
% 43.55/13.73  																																		|
% 43.55/13.73  																																		+-Applying beta-rule and splitting (41), into two cases.
% 43.55/13.73  																																		|-Branch one:
% 43.55/13.73  																																		| (530) all_0_82_82 = e2
% 43.55/13.73  																																		|
% 43.55/13.73  																																			| Equations (530) can reduce 200 to:
% 43.55/13.73  																																			| (354)  ~ (all_0_95_95 = e2)
% 43.55/13.73  																																			|
% 43.55/13.73  																																			| Simplifying 354 yields:
% 43.55/13.73  																																			| (355)  ~ (all_0_95_95 = e2)
% 43.55/13.73  																																			|
% 43.55/13.73  																																			| Equations (530) can reduce 793 to:
% 43.55/13.73  																																			| (356)  ~ (e3 = e2)
% 43.55/13.73  																																			|
% 43.55/13.73  																																			| Simplifying 356 yields:
% 43.55/13.73  																																			| (169)  ~ (e3 = e2)
% 43.55/13.73  																																			|
% 43.55/13.73  																																			| Equations (530) can reduce 198 to:
% 43.55/13.73  																																			| (243)  ~ (e2 = e1)
% 43.55/13.73  																																			|
% 43.55/13.73  																																			| From (530) and (61) follows:
% 43.55/13.73  																																			| (12132) op(e3, e3) = e2
% 43.55/13.73  																																			|
% 43.55/13.73  																																			+-Applying beta-rule and splitting (1915), into two cases.
% 43.55/13.73  																																			|-Branch one:
% 43.55/13.73  																																			| (583) all_0_90_90 = e4
% 43.55/13.73  																																			|
% 43.55/13.73  																																				| Combining equations (758,583) yields a new equation:
% 43.55/13.73  																																				| (912) e4 = e0
% 43.55/13.73  																																				|
% 43.55/13.73  																																				| Equations (912) can reduce 23 to:
% 43.55/13.73  																																				| (311) $false
% 43.55/13.73  																																				|
% 43.55/13.73  																																				|-The branch is then unsatisfiable
% 43.55/13.73  																																			|-Branch two:
% 43.55/13.73  																																			| (467)  ~ (all_0_90_90 = e4)
% 43.55/13.73  																																			| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.55/13.73  																																			|
% 43.55/13.73  																																				+-Applying beta-rule and splitting (205), into two cases.
% 43.55/13.73  																																				|-Branch one:
% 43.55/13.73  																																				| (473) all_0_81_81 = e2
% 43.55/13.73  																																				|
% 43.55/13.73  																																					| Combining equations (477,473) yields a new equation:
% 43.55/13.73  																																					| (385) e2 = e1
% 43.55/13.73  																																					|
% 43.55/13.73  																																					| Equations (385) can reduce 243 to:
% 43.55/13.73  																																					| (311) $false
% 43.55/13.73  																																					|
% 43.55/13.73  																																					|-The branch is then unsatisfiable
% 43.55/13.73  																																				|-Branch two:
% 43.55/13.73  																																				| (396)  ~ (all_0_81_81 = e2)
% 43.55/13.73  																																				| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.55/13.73  																																				|
% 43.55/13.73  																																					+-Applying beta-rule and splitting (220), into two cases.
% 43.55/13.73  																																					|-Branch one:
% 43.55/13.73  																																					| (771) all_0_78_78 = e3
% 43.55/13.73  																																					|
% 43.55/13.73  																																						| Combining equations (771,463) yields a new equation:
% 43.55/13.73  																																						| (434) e4 = e3
% 43.55/13.73  																																						|
% 43.55/13.73  																																						| Equations (434) can reduce 177 to:
% 43.55/13.73  																																						| (311) $false
% 43.55/13.73  																																						|
% 43.55/13.73  																																						|-The branch is then unsatisfiable
% 43.55/13.73  																																					|-Branch two:
% 43.55/13.73  																																					| (418)  ~ (all_0_78_78 = e3)
% 43.55/13.73  																																					| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.55/13.73  																																					|
% 43.55/13.73  																																						+-Applying beta-rule and splitting (775), into two cases.
% 43.55/13.73  																																						|-Branch one:
% 43.55/13.73  																																						| (789) all_0_82_82 = e3
% 43.55/13.73  																																						|
% 43.55/13.73  																																							| Combining equations (530,789) yields a new equation:
% 43.55/13.73  																																							| (548) e3 = e2
% 43.55/13.73  																																							|
% 43.55/13.73  																																							| Equations (548) can reduce 169 to:
% 43.55/13.73  																																							| (311) $false
% 43.55/13.73  																																							|
% 43.55/13.73  																																							|-The branch is then unsatisfiable
% 43.55/13.73  																																						|-Branch two:
% 43.55/13.73  																																						| (793)  ~ (all_0_82_82 = e3)
% 43.55/13.73  																																						| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.55/13.73  																																						|
% 43.55/13.73  																																							+-Applying beta-rule and splitting (794), into two cases.
% 43.55/13.73  																																							|-Branch one:
% 43.55/13.73  																																							| (754) all_0_90_90 = e3
% 43.55/13.73  																																							|
% 43.55/13.73  																																								| Combining equations (758,754) yields a new equation:
% 43.55/13.73  																																								| (600) e3 = e0
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| Equations (600) can reduce 50 to:
% 43.55/13.73  																																								| (311) $false
% 43.55/13.73  																																								|
% 43.55/13.73  																																								|-The branch is then unsatisfiable
% 43.55/13.73  																																							|-Branch two:
% 43.55/13.73  																																							| (745)  ~ (all_0_90_90 = e3)
% 43.55/13.73  																																							| (744) all_0_95_95 = e3
% 43.55/13.73  																																							|
% 43.55/13.73  																																								| Equations (744) can reduce 279 to:
% 43.55/13.73  																																								| (1300)  ~ (all_0_96_96 = e3)
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| Simplifying 1300 yields:
% 43.55/13.73  																																								| (964)  ~ (all_0_96_96 = e3)
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| Equations (744) can reduce 315 to:
% 43.55/13.73  																																								| (783)  ~ (e4 = e3)
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| Simplifying 783 yields:
% 43.55/13.73  																																								| (177)  ~ (e4 = e3)
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| Equations (744) can reduce 355 to:
% 43.55/13.73  																																								| (169)  ~ (e3 = e2)
% 43.55/13.73  																																								|
% 43.55/13.73  																																								| From (744) and (121) follows:
% 43.55/13.73  																																								| (10297) op(e3, e3) = all_0_50_50
% 43.55/13.73  																																								|
% 43.55/13.73  																																								+-Applying beta-rule and splitting (48), into two cases.
% 43.55/13.73  																																								|-Branch one:
% 43.55/13.73  																																								| (525) all_0_98_98 = e2
% 43.55/13.73  																																								|
% 43.55/13.73  																																									| Equations (525) can reduce 43 to:
% 43.55/13.73  																																									| (1638)  ~ (all_0_96_96 = e2)
% 43.55/13.73  																																									|
% 43.55/13.73  																																									+-Applying beta-rule and splitting (84), into two cases.
% 43.55/13.73  																																									|-Branch one:
% 43.55/13.73  																																									| (1704) all_0_96_96 = e2
% 43.55/13.73  																																									|
% 43.55/13.73  																																										| Equations (1704) can reduce 1638 to:
% 43.55/13.73  																																										| (311) $false
% 43.55/13.73  																																										|
% 43.55/13.73  																																										|-The branch is then unsatisfiable
% 43.55/13.73  																																									|-Branch two:
% 43.55/13.73  																																									| (1638)  ~ (all_0_96_96 = e2)
% 43.55/13.73  																																									| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.55/13.73  																																									|
% 43.55/13.73  																																										+-Applying beta-rule and splitting (1707), into two cases.
% 43.55/13.73  																																										|-Branch one:
% 43.55/13.73  																																										| (960) all_0_96_96 = e1
% 43.55/13.73  																																										|
% 43.55/13.73  																																											| Equations (960) can reduce 1479 to:
% 43.55/13.73  																																											| (311) $false
% 43.55/13.73  																																											|
% 43.55/13.73  																																											|-The branch is then unsatisfiable
% 43.55/13.73  																																										|-Branch two:
% 43.55/13.73  																																										| (1479)  ~ (all_0_96_96 = e1)
% 43.55/13.73  																																										| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 43.55/13.73  																																										|
% 43.55/13.73  																																											+-Applying beta-rule and splitting (2016), into two cases.
% 43.55/13.73  																																											|-Branch one:
% 43.55/13.73  																																											| (778) all_0_96_96 = e3
% 43.55/13.73  																																											|
% 43.55/13.73  																																												| Equations (778) can reduce 964 to:
% 43.55/13.73  																																												| (311) $false
% 43.55/13.73  																																												|
% 43.55/13.73  																																												|-The branch is then unsatisfiable
% 43.55/13.73  																																											|-Branch two:
% 43.55/13.73  																																											| (964)  ~ (all_0_96_96 = e3)
% 43.55/13.73  																																											| (1837) all_0_96_96 = e0
% 43.55/13.73  																																											|
% 43.55/13.73  																																												| Equations (1837) can reduce 1638 to:
% 43.55/13.73  																																												| (510)  ~ (e2 = e0)
% 43.55/13.73  																																												|
% 43.55/13.73  																																												| Simplifying 510 yields:
% 43.55/13.73  																																												| (76)  ~ (e2 = e0)
% 43.55/13.73  																																												|
% 43.55/13.73  																																												+-Applying beta-rule and splitting (1928), into two cases.
% 43.55/13.73  																																												|-Branch one:
% 43.55/13.73  																																												| (442) all_0_92_92 = e4
% 43.55/13.73  																																												|
% 43.55/13.73  																																													| Equations (442) can reduce 840 to:
% 43.55/13.73  																																													| (256)  ~ (e4 = e1)
% 43.55/13.73  																																													|
% 43.55/13.73  																																													| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 43.55/13.73  																																													| (12276) all_0_43_43 = e1
% 43.55/13.73  																																													|
% 43.55/13.73  																																													| Instantiating formula (262) with e3, e4, all_0_72_72, all_0_43_43 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = all_0_72_72, yields:
% 43.58/13.73  																																													| (13899) all_0_43_43 = all_0_72_72
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Instantiating formula (262) with e3, e3, all_0_55_55, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = all_0_55_55, yields:
% 43.58/13.73  																																													| (13436) all_0_50_50 = all_0_55_55
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Instantiating formula (262) with e3, e3, e2, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e2, yields:
% 43.58/13.73  																																													| (13437) all_0_50_50 = e2
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Instantiating formula (262) with e3, e0, e4, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e4, yields:
% 43.58/13.73  																																													| (13902) all_0_48_48 = e4
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Combining equations (12276,13899) yields a new equation:
% 43.58/13.73  																																													| (845) all_0_72_72 = e1
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Combining equations (13437,13436) yields a new equation:
% 43.58/13.73  																																													| (12242) all_0_55_55 = e2
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Combining equations (12242,13436) yields a new equation:
% 43.58/13.73  																																													| (13437) all_0_50_50 = e2
% 43.58/13.73  																																													|
% 43.58/13.73  																																													| Combining equations (845,13899) yields a new equation:
% 43.58/13.74  																																													| (12276) all_0_43_43 = e1
% 43.58/13.74  																																													|
% 43.58/13.74  																																													+-Applying beta-rule and splitting (186), into two cases.
% 43.58/13.74  																																													|-Branch one:
% 43.58/13.74  																																													| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.58/13.74  																																													|
% 43.58/13.74  																																														+-Applying beta-rule and splitting (726), into two cases.
% 43.58/13.74  																																														|-Branch one:
% 43.58/13.74  																																														| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.58/13.74  																																														|
% 43.58/13.74  																																															+-Applying beta-rule and splitting (727), into two cases.
% 43.58/13.74  																																															|-Branch one:
% 43.58/13.74  																																															| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Applying alpha-rule on (728) yields:
% 43.58/13.74  																																																| (729) all_0_43_43 = e4
% 43.58/13.74  																																																| (730)  ~ (all_0_44_44 = e3)
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Combining equations (729,12276) yields a new equation:
% 43.58/13.74  																																																| (813) e4 = e1
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Simplifying 813 yields:
% 43.58/13.74  																																																| (814) e4 = e1
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Equations (814) can reduce 256 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																															|-Branch two:
% 43.58/13.74  																																															| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Applying alpha-rule on (734) yields:
% 43.58/13.74  																																																| (735) all_0_46_46 = e2
% 43.58/13.74  																																																| (736)  ~ (all_0_47_47 = e3)
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Combining equations (735,10066) yields a new equation:
% 43.58/13.74  																																																| (923) e2 = e0
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Simplifying 923 yields:
% 43.58/13.74  																																																| (379) e2 = e0
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Equations (379) can reduce 76 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																														|-Branch two:
% 43.58/13.74  																																														| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.58/13.74  																																														|
% 43.58/13.74  																																															| Applying alpha-rule on (740) yields:
% 43.58/13.74  																																															| (741) all_0_48_48 = e1
% 43.58/13.74  																																															| (742)  ~ (all_0_49_49 = e3)
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Combining equations (741,13902) yields a new equation:
% 43.58/13.74  																																															| (814) e4 = e1
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Equations (814) can reduce 256 to:
% 43.58/13.74  																																															| (311) $false
% 43.58/13.74  																																															|
% 43.58/13.74  																																															|-The branch is then unsatisfiable
% 43.58/13.74  																																													|-Branch two:
% 43.58/13.74  																																													| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.58/13.74  																																													|
% 43.58/13.74  																																														| Applying alpha-rule on (973) yields:
% 43.58/13.74  																																														| (974) all_0_50_50 = e0
% 43.58/13.74  																																														| (975)  ~ (all_0_51_51 = e3)
% 43.58/13.74  																																														|
% 43.58/13.74  																																														| Combining equations (974,13437) yields a new equation:
% 43.58/13.74  																																														| (379) e2 = e0
% 43.58/13.74  																																														|
% 43.58/13.74  																																														| Equations (379) can reduce 76 to:
% 43.58/13.74  																																														| (311) $false
% 43.58/13.74  																																														|
% 43.58/13.74  																																														|-The branch is then unsatisfiable
% 43.58/13.74  																																												|-Branch two:
% 43.58/13.74  																																												| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.74  																																												| (607) all_0_93_93 = e4
% 43.58/13.74  																																												|
% 43.58/13.74  																																													| Combining equations (570,607) yields a new equation:
% 43.58/13.74  																																													| (434) e4 = e3
% 43.58/13.74  																																													|
% 43.58/13.74  																																													| Equations (434) can reduce 177 to:
% 43.58/13.74  																																													| (311) $false
% 43.58/13.74  																																													|
% 43.58/13.74  																																													|-The branch is then unsatisfiable
% 43.58/13.74  																																								|-Branch two:
% 43.58/13.74  																																								| (1349)  ~ (all_0_98_98 = e2)
% 43.58/13.74  																																								| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 43.58/13.74  																																								|
% 43.58/13.74  																																									+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.74  																																									|-Branch one:
% 43.58/13.74  																																									| (1456) all_0_91_91 = e0
% 43.58/13.74  																																									|
% 43.58/13.74  																																										| Combining equations (1456,801) yields a new equation:
% 43.58/13.74  																																										| (865) e1 = e0
% 43.58/13.74  																																										|
% 43.58/13.74  																																										| Equations (865) can reduce 264 to:
% 43.58/13.74  																																										| (311) $false
% 43.58/13.74  																																										|
% 43.58/13.74  																																										|-The branch is then unsatisfiable
% 43.58/13.74  																																									|-Branch two:
% 43.58/13.74  																																									| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.74  																																									| (1837) all_0_96_96 = e0
% 43.58/13.74  																																									|
% 43.58/13.74  																																										| Equations (1837) can reduce 1638 to:
% 43.58/13.74  																																										| (510)  ~ (e2 = e0)
% 43.58/13.74  																																										|
% 43.58/13.74  																																										| Simplifying 510 yields:
% 43.58/13.74  																																										| (76)  ~ (e2 = e0)
% 43.58/13.74  																																										|
% 43.58/13.74  																																										+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.74  																																										|-Branch one:
% 43.58/13.74  																																										| (442) all_0_92_92 = e4
% 43.58/13.74  																																										|
% 43.58/13.74  																																											| Equations (442) can reduce 298 to:
% 43.58/13.74  																																											| (79)  ~ (e4 = e2)
% 43.58/13.74  																																											|
% 43.58/13.74  																																											+-Applying beta-rule and splitting (97), into two cases.
% 43.58/13.74  																																											|-Branch one:
% 43.58/13.74  																																											| (1757) all_0_94_94 = e2
% 43.58/13.74  																																											|
% 43.58/13.74  																																												| Combining equations (313,1757) yields a new equation:
% 43.58/13.74  																																												| (309) e4 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																												| Simplifying 309 yields:
% 43.58/13.74  																																												| (310) e4 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																												| Equations (310) can reduce 79 to:
% 43.58/13.74  																																												| (311) $false
% 43.58/13.74  																																												|
% 43.58/13.74  																																												|-The branch is then unsatisfiable
% 43.58/13.74  																																											|-Branch two:
% 43.58/13.74  																																											| (1761)  ~ (all_0_94_94 = e2)
% 43.58/13.74  																																											| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																											|
% 43.58/13.74  																																												| Equations (313) can reduce 1761 to:
% 43.58/13.74  																																												| (79)  ~ (e4 = e2)
% 43.58/13.74  																																												|
% 43.58/13.74  																																												+-Applying beta-rule and splitting (1762), into two cases.
% 43.58/13.74  																																												|-Branch one:
% 43.58/13.74  																																												| (767) all_0_95_95 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																													| Combining equations (744,767) yields a new equation:
% 43.58/13.74  																																													| (547) e3 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																													| Simplifying 547 yields:
% 43.58/13.74  																																													| (548) e3 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																													| Equations (548) can reduce 169 to:
% 43.58/13.74  																																													| (311) $false
% 43.58/13.74  																																													|
% 43.58/13.74  																																													|-The branch is then unsatisfiable
% 43.58/13.74  																																												|-Branch two:
% 43.58/13.74  																																												| (355)  ~ (all_0_95_95 = e2)
% 43.58/13.74  																																												| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																													| Equations (744) can reduce 355 to:
% 43.58/13.74  																																													| (169)  ~ (e3 = e2)
% 43.58/13.74  																																													|
% 43.58/13.74  																																													+-Applying beta-rule and splitting (503), into two cases.
% 43.58/13.74  																																													|-Branch one:
% 43.58/13.74  																																													| (512) all_0_85_85 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																														| Combining equations (493,512) yields a new equation:
% 43.58/13.74  																																														| (309) e4 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																														| Simplifying 309 yields:
% 43.58/13.74  																																														| (310) e4 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																														| Equations (310) can reduce 79 to:
% 43.58/13.74  																																														| (311) $false
% 43.58/13.74  																																														|
% 43.58/13.74  																																														|-The branch is then unsatisfiable
% 43.58/13.74  																																													|-Branch two:
% 43.58/13.74  																																													| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.74  																																													| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																														+-Applying beta-rule and splitting (516), into two cases.
% 43.58/13.74  																																														|-Branch one:
% 43.58/13.74  																																														| (370) all_0_88_88 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																															| Combining equations (507,370) yields a new equation:
% 43.58/13.74  																																															| (379) e2 = e0
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Equations (379) can reduce 76 to:
% 43.58/13.74  																																															| (311) $false
% 43.58/13.74  																																															|
% 43.58/13.74  																																															|-The branch is then unsatisfiable
% 43.58/13.74  																																														|-Branch two:
% 43.58/13.74  																																														| (351)  ~ (all_0_88_88 = e2)
% 43.58/13.74  																																														| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																															+-Applying beta-rule and splitting (521), into two cases.
% 43.58/13.74  																																															|-Branch one:
% 43.58/13.74  																																															| (522) all_0_93_93 = e2
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Combining equations (570,522) yields a new equation:
% 43.58/13.74  																																																| (547) e3 = e2
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Simplifying 547 yields:
% 43.58/13.74  																																																| (548) e3 = e2
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Equations (548) can reduce 169 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																															|-Branch two:
% 43.58/13.74  																																															| (300)  ~ (all_0_93_93 = e2)
% 43.58/13.74  																																															| (525) all_0_98_98 = e2
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Equations (525) can reduce 1349 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																										|-Branch two:
% 43.58/13.74  																																										| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.74  																																										| (607) all_0_93_93 = e4
% 43.58/13.74  																																										|
% 43.58/13.74  																																											| Combining equations (570,607) yields a new equation:
% 43.58/13.74  																																											| (434) e4 = e3
% 43.58/13.74  																																											|
% 43.58/13.74  																																											| Equations (434) can reduce 177 to:
% 43.58/13.74  																																											| (311) $false
% 43.58/13.74  																																											|
% 43.58/13.74  																																											|-The branch is then unsatisfiable
% 43.58/13.74  																																		|-Branch two:
% 43.58/13.74  																																		| (347)  ~ (all_0_82_82 = e2)
% 43.58/13.74  																																		| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 43.58/13.74  																																		|
% 43.58/13.74  																																			+-Applying beta-rule and splitting (533), into two cases.
% 43.58/13.74  																																			|-Branch one:
% 43.58/13.74  																																			| (453) all_0_83_83 = e2
% 43.58/13.74  																																			|
% 43.58/13.74  																																				| Combining equations (795,453) yields a new equation:
% 43.58/13.74  																																				| (547) e3 = e2
% 43.58/13.74  																																				|
% 43.58/13.74  																																				| Simplifying 547 yields:
% 43.58/13.74  																																				| (548) e3 = e2
% 43.58/13.74  																																				|
% 43.58/13.74  																																				| Equations (548) can reduce 169 to:
% 43.58/13.74  																																				| (311) $false
% 43.58/13.74  																																				|
% 43.58/13.74  																																				|-The branch is then unsatisfiable
% 43.58/13.74  																																			|-Branch two:
% 43.58/13.74  																																			| (398)  ~ (all_0_83_83 = e2)
% 43.58/13.74  																																			| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 43.58/13.74  																																			|
% 43.58/13.74  																																				| Equations (795) can reduce 398 to:
% 43.58/13.74  																																				| (169)  ~ (e3 = e2)
% 43.58/13.74  																																				|
% 43.58/13.74  																																				+-Applying beta-rule and splitting (205), into two cases.
% 43.58/13.74  																																				|-Branch one:
% 43.58/13.74  																																				| (473) all_0_81_81 = e2
% 43.58/13.74  																																				|
% 43.58/13.74  																																					| Combining equations (477,473) yields a new equation:
% 43.58/13.74  																																					| (385) e2 = e1
% 43.58/13.74  																																					|
% 43.58/13.74  																																					| Equations (385) can reduce 243 to:
% 43.58/13.74  																																					| (311) $false
% 43.58/13.74  																																					|
% 43.58/13.74  																																					|-The branch is then unsatisfiable
% 43.58/13.74  																																				|-Branch two:
% 43.58/13.74  																																				| (396)  ~ (all_0_81_81 = e2)
% 43.58/13.74  																																				| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																				|
% 43.58/13.74  																																					| Equations (477) can reduce 396 to:
% 43.58/13.74  																																					| (487)  ~ (e2 = e1)
% 43.58/13.74  																																					|
% 43.58/13.74  																																					| Simplifying 487 yields:
% 43.58/13.74  																																					| (243)  ~ (e2 = e1)
% 43.58/13.74  																																					|
% 43.58/13.74  																																					+-Applying beta-rule and splitting (1915), into two cases.
% 43.58/13.74  																																					|-Branch one:
% 43.58/13.74  																																					| (583) all_0_90_90 = e4
% 43.58/13.74  																																					|
% 43.58/13.74  																																						| Combining equations (758,583) yields a new equation:
% 43.58/13.74  																																						| (912) e4 = e0
% 43.58/13.74  																																						|
% 43.58/13.74  																																						| Equations (912) can reduce 23 to:
% 43.58/13.74  																																						| (311) $false
% 43.58/13.74  																																						|
% 43.58/13.74  																																						|-The branch is then unsatisfiable
% 43.58/13.74  																																					|-Branch two:
% 43.58/13.74  																																					| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.74  																																					| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.74  																																					|
% 43.58/13.74  																																						+-Applying beta-rule and splitting (270), into two cases.
% 43.58/13.74  																																						|-Branch one:
% 43.58/13.74  																																						| (744) all_0_95_95 = e3
% 43.58/13.74  																																						|
% 43.58/13.74  																																							| Equations (744) can reduce 315 to:
% 43.58/13.74  																																							| (783)  ~ (e4 = e3)
% 43.58/13.74  																																							|
% 43.58/13.74  																																							| Simplifying 783 yields:
% 43.58/13.74  																																							| (177)  ~ (e4 = e3)
% 43.58/13.74  																																							|
% 43.58/13.74  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.74  																																							|-Branch one:
% 43.58/13.74  																																							| (1456) all_0_91_91 = e0
% 43.58/13.74  																																							|
% 43.58/13.74  																																								| Combining equations (801,1456) yields a new equation:
% 43.58/13.74  																																								| (1107) e1 = e0
% 43.58/13.74  																																								|
% 43.58/13.74  																																								| Simplifying 1107 yields:
% 43.58/13.74  																																								| (865) e1 = e0
% 43.58/13.74  																																								|
% 43.58/13.74  																																								| Equations (865) can reduce 264 to:
% 43.58/13.74  																																								| (311) $false
% 43.58/13.74  																																								|
% 43.58/13.74  																																								|-The branch is then unsatisfiable
% 43.58/13.74  																																							|-Branch two:
% 43.58/13.74  																																							| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.74  																																							| (1837) all_0_96_96 = e0
% 43.58/13.74  																																							|
% 43.58/13.74  																																								| Equations (1837) can reduce 43 to:
% 43.58/13.74  																																								| (2058)  ~ (all_0_98_98 = e0)
% 43.58/13.74  																																								|
% 43.58/13.74  																																								| Simplifying 2058 yields:
% 43.58/13.74  																																								| (2059)  ~ (all_0_98_98 = e0)
% 43.58/13.74  																																								|
% 43.58/13.74  																																								| Equations (1837) can reduce 1638 to:
% 43.58/13.74  																																								| (510)  ~ (e2 = e0)
% 43.58/13.74  																																								|
% 43.58/13.74  																																								| Simplifying 510 yields:
% 43.58/13.74  																																								| (76)  ~ (e2 = e0)
% 43.58/13.74  																																								|
% 43.58/13.74  																																								+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.74  																																								|-Branch one:
% 43.58/13.74  																																								| (442) all_0_92_92 = e4
% 43.58/13.74  																																								|
% 43.58/13.74  																																									| Equations (442) can reduce 298 to:
% 43.58/13.74  																																									| (79)  ~ (e4 = e2)
% 43.58/13.74  																																									|
% 43.58/13.74  																																									+-Applying beta-rule and splitting (503), into two cases.
% 43.58/13.74  																																									|-Branch one:
% 43.58/13.74  																																									| (512) all_0_85_85 = e2
% 43.58/13.74  																																									|
% 43.58/13.74  																																										| Combining equations (493,512) yields a new equation:
% 43.58/13.74  																																										| (309) e4 = e2
% 43.58/13.74  																																										|
% 43.58/13.74  																																										| Simplifying 309 yields:
% 43.58/13.74  																																										| (310) e4 = e2
% 43.58/13.74  																																										|
% 43.58/13.74  																																										| Equations (310) can reduce 79 to:
% 43.58/13.74  																																										| (311) $false
% 43.58/13.74  																																										|
% 43.58/13.74  																																										|-The branch is then unsatisfiable
% 43.58/13.74  																																									|-Branch two:
% 43.58/13.74  																																									| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.74  																																									| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																									|
% 43.58/13.74  																																										| Equations (493) can reduce 515 to:
% 43.58/13.74  																																										| (79)  ~ (e4 = e2)
% 43.58/13.74  																																										|
% 43.58/13.74  																																										+-Applying beta-rule and splitting (516), into two cases.
% 43.58/13.74  																																										|-Branch one:
% 43.58/13.74  																																										| (370) all_0_88_88 = e2
% 43.58/13.74  																																										|
% 43.58/13.74  																																											| Combining equations (507,370) yields a new equation:
% 43.58/13.74  																																											| (379) e2 = e0
% 43.58/13.74  																																											|
% 43.58/13.74  																																											| Equations (379) can reduce 76 to:
% 43.58/13.74  																																											| (311) $false
% 43.58/13.74  																																											|
% 43.58/13.74  																																											|-The branch is then unsatisfiable
% 43.58/13.74  																																										|-Branch two:
% 43.58/13.74  																																										| (351)  ~ (all_0_88_88 = e2)
% 43.58/13.74  																																										| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																										|
% 43.58/13.74  																																											| Equations (507) can reduce 351 to:
% 43.58/13.74  																																											| (510)  ~ (e2 = e0)
% 43.58/13.74  																																											|
% 43.58/13.74  																																											| Simplifying 510 yields:
% 43.58/13.74  																																											| (76)  ~ (e2 = e0)
% 43.58/13.74  																																											|
% 43.58/13.74  																																											+-Applying beta-rule and splitting (97), into two cases.
% 43.58/13.74  																																											|-Branch one:
% 43.58/13.74  																																											| (1757) all_0_94_94 = e2
% 43.58/13.74  																																											|
% 43.58/13.74  																																												| Combining equations (313,1757) yields a new equation:
% 43.58/13.74  																																												| (309) e4 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																												| Simplifying 309 yields:
% 43.58/13.74  																																												| (310) e4 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																												| Equations (310) can reduce 79 to:
% 43.58/13.74  																																												| (311) $false
% 43.58/13.74  																																												|
% 43.58/13.74  																																												|-The branch is then unsatisfiable
% 43.58/13.74  																																											|-Branch two:
% 43.58/13.74  																																											| (1761)  ~ (all_0_94_94 = e2)
% 43.58/13.74  																																											| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																											|
% 43.58/13.74  																																												+-Applying beta-rule and splitting (1762), into two cases.
% 43.58/13.74  																																												|-Branch one:
% 43.58/13.74  																																												| (767) all_0_95_95 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																													| Combining equations (744,767) yields a new equation:
% 43.58/13.74  																																													| (547) e3 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																													| Simplifying 547 yields:
% 43.58/13.74  																																													| (548) e3 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																													| Equations (548) can reduce 169 to:
% 43.58/13.74  																																													| (311) $false
% 43.58/13.74  																																													|
% 43.58/13.74  																																													|-The branch is then unsatisfiable
% 43.58/13.74  																																												|-Branch two:
% 43.58/13.74  																																												| (355)  ~ (all_0_95_95 = e2)
% 43.58/13.74  																																												| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																												|
% 43.58/13.74  																																													+-Applying beta-rule and splitting (1772), into two cases.
% 43.58/13.74  																																													|-Branch one:
% 43.58/13.74  																																													| (1704) all_0_96_96 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																														| Combining equations (1837,1704) yields a new equation:
% 43.58/13.74  																																														| (379) e2 = e0
% 43.58/13.74  																																														|
% 43.58/13.74  																																														| Equations (379) can reduce 76 to:
% 43.58/13.74  																																														| (311) $false
% 43.58/13.74  																																														|
% 43.58/13.74  																																														|-The branch is then unsatisfiable
% 43.58/13.74  																																													|-Branch two:
% 43.58/13.74  																																													| (1638)  ~ (all_0_96_96 = e2)
% 43.58/13.74  																																													| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 43.58/13.74  																																													|
% 43.58/13.74  																																														+-Applying beta-rule and splitting (1783), into two cases.
% 43.58/13.74  																																														|-Branch one:
% 43.58/13.74  																																														| (538) all_0_97_97 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																															| Combining equations (538,542) yields a new equation:
% 43.58/13.74  																																															| (408) e2 = e1
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Simplifying 408 yields:
% 43.58/13.74  																																															| (385) e2 = e1
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Equations (385) can reduce 243 to:
% 43.58/13.74  																																															| (311) $false
% 43.58/13.74  																																															|
% 43.58/13.74  																																															|-The branch is then unsatisfiable
% 43.58/13.74  																																														|-Branch two:
% 43.58/13.74  																																														| (527)  ~ (all_0_97_97 = e2)
% 43.58/13.74  																																														| (525) all_0_98_98 = e2
% 43.58/13.74  																																														|
% 43.58/13.74  																																															| Equations (525) can reduce 321 to:
% 43.58/13.74  																																															| (528)  ~ (e4 = e2)
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Simplifying 528 yields:
% 43.58/13.74  																																															| (79)  ~ (e4 = e2)
% 43.58/13.74  																																															|
% 43.58/13.74  																																															| Equations (525) can reduce 2059 to:
% 43.58/13.74  																																															| (76)  ~ (e2 = e0)
% 43.58/13.74  																																															|
% 43.58/13.74  																																															+-Applying beta-rule and splitting (537), into two cases.
% 43.58/13.74  																																															|-Branch one:
% 43.58/13.74  																																															| (552) all_0_84_84 = e2
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Combining equations (916,552) yields a new equation:
% 43.58/13.74  																																																| (379) e2 = e0
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Equations (379) can reduce 76 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																															|-Branch two:
% 43.58/13.74  																																															| (612)  ~ (all_0_84_84 = e2)
% 43.58/13.74  																																															| (512) all_0_85_85 = e2
% 43.58/13.74  																																															|
% 43.58/13.74  																																																| Combining equations (493,512) yields a new equation:
% 43.58/13.74  																																																| (309) e4 = e2
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Simplifying 309 yields:
% 43.58/13.74  																																																| (310) e4 = e2
% 43.58/13.74  																																																|
% 43.58/13.74  																																																| Equations (310) can reduce 79 to:
% 43.58/13.74  																																																| (311) $false
% 43.58/13.74  																																																|
% 43.58/13.74  																																																|-The branch is then unsatisfiable
% 43.58/13.74  																																								|-Branch two:
% 43.58/13.74  																																								| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.74  																																								| (607) all_0_93_93 = e4
% 43.58/13.74  																																								|
% 43.58/13.74  																																									| Combining equations (607,570) yields a new equation:
% 43.58/13.74  																																									| (790) e4 = e3
% 43.58/13.74  																																									|
% 43.58/13.74  																																									| Simplifying 790 yields:
% 43.58/13.74  																																									| (434) e4 = e3
% 43.58/13.74  																																									|
% 43.58/13.74  																																									| Equations (434) can reduce 177 to:
% 43.58/13.74  																																									| (311) $false
% 43.58/13.74  																																									|
% 43.58/13.74  																																									|-The branch is then unsatisfiable
% 43.58/13.74  																																						|-Branch two:
% 43.58/13.74  																																						| (765)  ~ (all_0_95_95 = e3)
% 43.58/13.74  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.58/13.74  																																						|
% 43.58/13.74  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.74  																																							|-Branch one:
% 43.58/13.74  																																							| (1456) all_0_91_91 = e0
% 43.58/13.74  																																							|
% 43.58/13.74  																																								| Combining equations (1456,801) yields a new equation:
% 43.58/13.75  																																								| (865) e1 = e0
% 43.58/13.75  																																								|
% 43.58/13.75  																																								| Equations (865) can reduce 264 to:
% 43.58/13.75  																																								| (311) $false
% 43.58/13.75  																																								|
% 43.58/13.75  																																								|-The branch is then unsatisfiable
% 43.58/13.75  																																							|-Branch two:
% 43.58/13.75  																																							| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.75  																																							| (1837) all_0_96_96 = e0
% 43.58/13.75  																																							|
% 43.58/13.75  																																								| Equations (1837) can reduce 964 to:
% 43.58/13.75  																																								| (906)  ~ (e3 = e0)
% 43.58/13.75  																																								|
% 43.58/13.75  																																								| Simplifying 906 yields:
% 43.58/13.75  																																								| (50)  ~ (e3 = e0)
% 43.58/13.75  																																								|
% 43.58/13.75  																																								+-Applying beta-rule and splitting (766), into two cases.
% 43.58/13.75  																																								|-Branch one:
% 43.58/13.75  																																								| (778) all_0_96_96 = e3
% 43.58/13.75  																																								|
% 43.58/13.75  																																									| Combining equations (778,1837) yields a new equation:
% 43.58/13.75  																																									| (599) e3 = e0
% 43.58/13.75  																																									|
% 43.58/13.75  																																									| Simplifying 599 yields:
% 43.58/13.75  																																									| (600) e3 = e0
% 43.58/13.75  																																									|
% 43.58/13.75  																																									| Equations (600) can reduce 50 to:
% 43.58/13.75  																																									| (311) $false
% 43.58/13.75  																																									|
% 43.58/13.75  																																									|-The branch is then unsatisfiable
% 43.58/13.75  																																								|-Branch two:
% 43.58/13.75  																																								| (964)  ~ (all_0_96_96 = e3)
% 43.58/13.75  																																								| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.58/13.75  																																								|
% 43.58/13.75  																																									+-Applying beta-rule and splitting (965), into two cases.
% 43.58/13.75  																																									|-Branch one:
% 43.58/13.75  																																									| (556) all_0_97_97 = e3
% 43.58/13.75  																																									|
% 43.58/13.75  																																										| Combining equations (542,556) yields a new equation:
% 43.58/13.75  																																										| (772) e3 = e1
% 43.58/13.75  																																										|
% 43.58/13.75  																																										| Equations (772) can reduce 20 to:
% 43.58/13.75  																																										| (311) $false
% 43.58/13.75  																																										|
% 43.58/13.75  																																										|-The branch is then unsatisfiable
% 43.58/13.75  																																									|-Branch two:
% 43.58/13.75  																																									| (428)  ~ (all_0_97_97 = e3)
% 43.58/13.75  																																									| (969) all_0_98_98 = e3
% 43.58/13.75  																																									|
% 43.58/13.75  																																										| Equations (969) can reduce 1519 to:
% 43.58/13.75  																																										| (311) $false
% 43.58/13.75  																																										|
% 43.58/13.75  																																										|-The branch is then unsatisfiable
% 43.58/13.75  																																	|-Branch two:
% 43.58/13.75  																																	| (648)  ~ (all_0_85_85 = e4)
% 43.58/13.75  																																	| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 43.58/13.75  																																	|
% 43.58/13.75  																																		+-Applying beta-rule and splitting (2576), into two cases.
% 43.58/13.75  																																		|-Branch one:
% 43.58/13.75  																																		| (607) all_0_93_93 = e4
% 43.58/13.75  																																		|
% 43.58/13.75  																																			| Combining equations (570,607) yields a new equation:
% 43.58/13.75  																																			| (434) e4 = e3
% 43.58/13.75  																																			|
% 43.58/13.75  																																			| Equations (434) can reduce 177 to:
% 43.58/13.75  																																			| (311) $false
% 43.58/13.75  																																			|
% 43.58/13.75  																																			|-The branch is then unsatisfiable
% 43.58/13.75  																																		|-Branch two:
% 43.58/13.75  																																		| (496)  ~ (all_0_93_93 = e4)
% 43.58/13.75  																																		| (2650) all_0_98_98 = e4
% 43.58/13.75  																																		|
% 43.58/13.75  																																			| Equations (2650) can reduce 321 to:
% 43.58/13.75  																																			| (311) $false
% 43.58/13.75  																																			|
% 43.58/13.75  																																			|-The branch is then unsatisfiable
% 43.58/13.75  																										|-Branch two:
% 43.58/13.75  																										| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.75  																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.75  																										|
% 43.58/13.75  																											+-Applying beta-rule and splitting (1455), into two cases.
% 43.58/13.75  																											|-Branch one:
% 43.58/13.75  																											| (1456) all_0_91_91 = e0
% 43.58/13.75  																											|
% 43.58/13.75  																												| Combining equations (1456,801) yields a new equation:
% 43.58/13.75  																												| (865) e1 = e0
% 43.58/13.75  																												|
% 43.58/13.75  																												| Equations (865) can reduce 264 to:
% 43.58/13.75  																												| (311) $false
% 43.58/13.75  																												|
% 43.58/13.75  																												|-The branch is then unsatisfiable
% 43.58/13.75  																											|-Branch two:
% 43.58/13.75  																											| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.75  																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.75  																											|
% 43.58/13.75  																												+-Applying beta-rule and splitting (1488), into two cases.
% 43.58/13.75  																												|-Branch one:
% 43.58/13.75  																												| (942) all_0_92_92 = e0
% 43.58/13.75  																												|
% 43.58/13.75  																													| Equations (942) can reduce 946 to:
% 43.58/13.75  																													| (311) $false
% 43.58/13.75  																													|
% 43.58/13.75  																													|-The branch is then unsatisfiable
% 43.58/13.75  																												|-Branch two:
% 43.58/13.75  																												| (946)  ~ (all_0_92_92 = e0)
% 43.58/13.75  																												| (604) all_0_93_93 = e0
% 43.58/13.75  																												|
% 43.58/13.75  																													| Equations (604) can reduce 509 to:
% 43.58/13.75  																													| (311) $false
% 43.58/13.75  																													|
% 43.58/13.75  																													|-The branch is then unsatisfiable
% 43.58/13.75  																									|-Branch two:
% 43.58/13.75  																									| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.75  																									| (960) all_0_96_96 = e1
% 43.58/13.75  																									|
% 43.58/13.75  																										| Equations (960) can reduce 1479 to:
% 43.58/13.75  																										| (311) $false
% 43.58/13.75  																										|
% 43.58/13.75  																										|-The branch is then unsatisfiable
% 43.58/13.75  																								|-Branch two:
% 43.58/13.75  																								| (779)  ~ (all_0_83_83 = e3)
% 43.58/13.75  																								| (798) all_0_83_83 = e0
% 43.58/13.75  																								|
% 43.58/13.75  																									| Equations (798) can reduce 1314 to:
% 43.58/13.75  																									| (311) $false
% 43.58/13.75  																									|
% 43.58/13.75  																									|-The branch is then unsatisfiable
% 43.58/13.75  																						|-Branch two:
% 43.58/13.75  																						| (486)  ~ (all_0_97_97 = e1)
% 43.58/13.75  																						| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 43.58/13.75  																						|
% 43.58/13.75  																							+-Applying beta-rule and splitting (545), into two cases.
% 43.58/13.75  																							|-Branch one:
% 43.58/13.75  																							| (556) all_0_97_97 = e3
% 43.58/13.75  																							|
% 43.58/13.75  																								| Equations (556) can reduce 428 to:
% 43.58/13.75  																								| (311) $false
% 43.58/13.75  																								|
% 43.58/13.75  																								|-The branch is then unsatisfiable
% 43.58/13.75  																							|-Branch two:
% 43.58/13.75  																							| (428)  ~ (all_0_97_97 = e3)
% 43.58/13.75  																							| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 43.58/13.75  																							|
% 43.58/13.75  																								+-Applying beta-rule and splitting (559), into two cases.
% 43.58/13.75  																								|-Branch one:
% 43.58/13.75  																								| (560) all_0_97_97 = e0
% 43.58/13.75  																								|
% 43.58/13.75  																									| Equations (560) can reduce 609 to:
% 43.58/13.75  																									| (311) $false
% 43.58/13.75  																									|
% 43.58/13.75  																									|-The branch is then unsatisfiable
% 43.58/13.75  																								|-Branch two:
% 43.58/13.75  																								| (609)  ~ (all_0_97_97 = e0)
% 43.58/13.75  																								| (610) all_0_97_97 = e4
% 43.58/13.75  																								|
% 43.58/13.75  																									| Equations (610) can reduce 319 to:
% 43.58/13.75  																									| (311) $false
% 43.58/13.75  																									|
% 43.58/13.75  																									|-The branch is then unsatisfiable
% 43.58/13.75  																				|-Branch two:
% 43.58/13.75  																				| (628)  ~ (all_0_81_81 = e1)
% 43.58/13.75  																				| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.58/13.75  																				|
% 43.58/13.75  																					+-Applying beta-rule and splitting (629), into two cases.
% 43.58/13.75  																					|-Branch one:
% 43.58/13.75  																					| (635) all_0_81_81 = e3
% 43.58/13.75  																					|
% 43.58/13.75  																						| Equations (635) can reduce 420 to:
% 43.58/13.75  																						| (311) $false
% 43.58/13.75  																						|
% 43.58/13.75  																						|-The branch is then unsatisfiable
% 43.58/13.75  																					|-Branch two:
% 43.58/13.75  																					| (420)  ~ (all_0_81_81 = e3)
% 43.58/13.75  																					| (638) all_0_81_81 = e4
% 43.58/13.75  																					|
% 43.58/13.75  																						| Equations (638) can reduce 634 to:
% 43.58/13.75  																						| (311) $false
% 43.58/13.75  																						|
% 43.58/13.75  																						|-The branch is then unsatisfiable
% 43.58/13.75  																	|-Branch two:
% 43.58/13.75  																	| (919)  ~ (all_0_84_84 = e0)
% 43.58/13.75  																	| (438) all_0_84_84 = e4
% 43.58/13.75  																	|
% 43.58/13.75  																		| Equations (438) can reduce 417 to:
% 43.58/13.75  																		| (311) $false
% 43.58/13.75  																		|
% 43.58/13.75  																		|-The branch is then unsatisfiable
% 43.58/13.75  									|-Branch two:
% 43.58/13.75  									| (1622)  ~ (all_0_79_79 = e2)
% 43.58/13.75  									| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 43.58/13.75  									|
% 43.58/13.75  										+-Applying beta-rule and splitting (248), into two cases.
% 43.58/13.75  										|-Branch one:
% 43.58/13.75  										| (390) all_0_79_79 = e2
% 43.58/13.75  										|
% 43.58/13.75  											| Equations (390) can reduce 1622 to:
% 43.58/13.75  											| (311) $false
% 43.58/13.75  											|
% 43.58/13.75  											|-The branch is then unsatisfiable
% 43.58/13.75  										|-Branch two:
% 43.58/13.75  										| (1622)  ~ (all_0_79_79 = e2)
% 43.58/13.75  										| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 43.58/13.75  										|
% 43.58/13.75  											+-Applying beta-rule and splitting (52), into two cases.
% 43.58/13.75  											|-Branch one:
% 43.58/13.75  											| (453) all_0_83_83 = e2
% 43.58/13.75  											|
% 43.58/13.75  												| Equations (453) can reduce 272 to:
% 43.58/13.75  												| (1622)  ~ (all_0_79_79 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Equations (453) can reduce 223 to:
% 43.58/13.75  												| (1631)  ~ (all_0_84_84 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Simplifying 1631 yields:
% 43.58/13.75  												| (612)  ~ (all_0_84_84 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Equations (453) can reduce 226 to:
% 43.58/13.75  												| (691)  ~ (all_0_85_85 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Simplifying 691 yields:
% 43.58/13.75  												| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Equations (453) can reduce 146 to:
% 43.58/13.75  												| (295)  ~ (all_0_91_91 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Simplifying 295 yields:
% 43.58/13.75  												| (296)  ~ (all_0_91_91 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Equations (453) can reduce 211 to:
% 43.58/13.75  												| (1637)  ~ (all_0_96_96 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Simplifying 1637 yields:
% 43.58/13.75  												| (1638)  ~ (all_0_96_96 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Equations (453) can reduce 155 to:
% 43.58/13.75  												| (528)  ~ (e4 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| Simplifying 528 yields:
% 43.58/13.75  												| (79)  ~ (e4 = e2)
% 43.58/13.75  												|
% 43.58/13.75  												| From (453) and (163) follows:
% 43.58/13.75  												| (13410) op(e3, e2) = all_0_55_55
% 43.58/13.75  												|
% 43.58/13.75  												| From (453) and (174) follows:
% 43.58/13.75  												| (13287) op(e3, e2) = e2
% 43.58/13.75  												|
% 43.58/13.75  												| From (453) and (206) follows:
% 43.58/13.75  												| (1643) op(e2, e2) = all_0_54_54
% 43.58/13.75  												|
% 43.58/13.75  												| Instantiating formula (262) with e3, e2, e2, all_0_55_55 and discharging atoms op(e3, e2) = all_0_55_55, op(e3, e2) = e2, yields:
% 43.58/13.75  												| (12242) all_0_55_55 = e2
% 43.58/13.75  												|
% 43.58/13.75  												| Instantiating formula (262) with e2, e2, all_0_54_54, e4 and discharging atoms op(e2, e2) = all_0_54_54, op(e2, e2) = e4, yields:
% 43.58/13.75  												| (1647) all_0_54_54 = e4
% 43.58/13.75  												|
% 43.58/13.75  												| From (12242) and (13410) follows:
% 43.58/13.75  												| (13287) op(e3, e2) = e2
% 43.58/13.75  												|
% 43.58/13.75  												+-Applying beta-rule and splitting (219), into two cases.
% 43.58/13.75  												|-Branch one:
% 43.58/13.75  												| (798) all_0_83_83 = e0
% 43.58/13.75  												|
% 43.58/13.75  													| Combining equations (453,798) yields a new equation:
% 43.58/13.75  													| (923) e2 = e0
% 43.58/13.75  													|
% 43.58/13.75  													| Simplifying 923 yields:
% 43.58/13.75  													| (379) e2 = e0
% 43.58/13.75  													|
% 43.58/13.75  													| Equations (379) can reduce 76 to:
% 43.58/13.75  													| (311) $false
% 43.58/13.75  													|
% 43.58/13.75  													|-The branch is then unsatisfiable
% 43.58/13.75  												|-Branch two:
% 43.58/13.75  												| (1314)  ~ (all_0_83_83 = e0)
% 43.58/13.75  												| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 43.58/13.75  												|
% 43.58/13.75  													+-Applying beta-rule and splitting (101), into two cases.
% 43.58/13.75  													|-Branch one:
% 43.58/13.75  													| (400) all_0_78_78 = e2
% 43.58/13.75  													|
% 43.58/13.75  														| Equations (400) can reduce 66 to:
% 43.58/13.75  														| (9970)  ~ (all_0_79_79 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Simplifying 9970 yields:
% 43.58/13.75  														| (1622)  ~ (all_0_79_79 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 67 to:
% 43.58/13.75  														| (393)  ~ (all_0_80_80 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Simplifying 393 yields:
% 43.58/13.75  														| (394)  ~ (all_0_80_80 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 278 to:
% 43.58/13.75  														| (395)  ~ (all_0_81_81 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Simplifying 395 yields:
% 43.58/13.75  														| (396)  ~ (all_0_81_81 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 193 to:
% 43.58/13.75  														| (9974)  ~ (all_0_82_82 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Simplifying 9974 yields:
% 43.58/13.75  														| (347)  ~ (all_0_82_82 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 85 to:
% 43.58/13.75  														| (293)  ~ (all_0_90_90 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Simplifying 293 yields:
% 43.58/13.75  														| (294)  ~ (all_0_90_90 = e2)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 1601 to:
% 43.58/13.75  														| (243)  ~ (e2 = e1)
% 43.58/13.75  														|
% 43.58/13.75  														| Equations (400) can reduce 86 to:
% 43.58/13.75  														| (76)  ~ (e2 = e0)
% 43.58/13.75  														|
% 43.58/13.75  														+-Applying beta-rule and splitting (205), into two cases.
% 43.58/13.75  														|-Branch one:
% 43.58/13.75  														| (473) all_0_81_81 = e2
% 43.58/13.75  														|
% 43.58/13.75  															| Equations (473) can reduce 396 to:
% 43.58/13.75  															| (311) $false
% 43.58/13.75  															|
% 43.58/13.75  															|-The branch is then unsatisfiable
% 43.58/13.75  														|-Branch two:
% 43.58/13.75  														| (396)  ~ (all_0_81_81 = e2)
% 43.58/13.75  														| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.75  														|
% 43.58/13.75  															+-Applying beta-rule and splitting (503), into two cases.
% 43.58/13.75  															|-Branch one:
% 43.58/13.75  															| (512) all_0_85_85 = e2
% 43.58/13.75  															|
% 43.58/13.75  																| Equations (512) can reduce 515 to:
% 43.58/13.75  																| (311) $false
% 43.58/13.75  																|
% 43.58/13.75  																|-The branch is then unsatisfiable
% 43.58/13.75  															|-Branch two:
% 43.58/13.75  															| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.75  															| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.75  															|
% 43.58/13.75  																+-Applying beta-rule and splitting (516), into two cases.
% 43.58/13.75  																|-Branch one:
% 43.58/13.75  																| (370) all_0_88_88 = e2
% 43.58/13.75  																|
% 43.58/13.75  																	| Combining equations (370,507) yields a new equation:
% 43.58/13.75  																	| (923) e2 = e0
% 43.58/13.75  																	|
% 43.58/13.75  																	| Simplifying 923 yields:
% 43.58/13.75  																	| (379) e2 = e0
% 43.58/13.75  																	|
% 43.58/13.75  																	| Equations (379) can reduce 76 to:
% 43.58/13.75  																	| (311) $false
% 43.58/13.75  																	|
% 43.58/13.75  																	|-The branch is then unsatisfiable
% 43.58/13.75  																|-Branch two:
% 43.58/13.75  																| (351)  ~ (all_0_88_88 = e2)
% 43.58/13.75  																| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 43.58/13.75  																|
% 43.58/13.75  																	+-Applying beta-rule and splitting (521), into two cases.
% 43.58/13.75  																	|-Branch one:
% 43.58/13.75  																	| (522) all_0_93_93 = e2
% 43.58/13.75  																	|
% 43.58/13.75  																		| Equations (522) can reduce 300 to:
% 43.58/13.75  																		| (311) $false
% 43.58/13.75  																		|
% 43.58/13.75  																		|-The branch is then unsatisfiable
% 43.58/13.75  																	|-Branch two:
% 43.58/13.75  																	| (300)  ~ (all_0_93_93 = e2)
% 43.58/13.75  																	| (525) all_0_98_98 = e2
% 43.58/13.75  																	|
% 43.58/13.75  																		| Equations (525) can reduce 5 to:
% 43.58/13.75  																		| (396)  ~ (all_0_81_81 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 75 to:
% 43.58/13.75  																		| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 13 to:
% 43.58/13.75  																		| (300)  ~ (all_0_93_93 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 107 to:
% 43.58/13.75  																		| (355)  ~ (all_0_95_95 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 43 to:
% 43.58/13.75  																		| (1638)  ~ (all_0_96_96 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 148 to:
% 43.58/13.75  																		| (527)  ~ (all_0_97_97 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Equations (525) can reduce 321 to:
% 43.58/13.75  																		| (528)  ~ (e4 = e2)
% 43.58/13.75  																		|
% 43.58/13.75  																		| Simplifying 528 yields:
% 43.58/13.75  																		| (79)  ~ (e4 = e2)
% 43.58/13.75  																		|
% 43.58/13.76  																		| Equations (525) can reduce 2059 to:
% 43.58/13.76  																		| (76)  ~ (e2 = e0)
% 43.58/13.76  																		|
% 43.58/13.76  																		| From (525) and (38) follows:
% 43.58/13.76  																		| (2408) op(e0, e0) = e2
% 43.58/13.76  																		|
% 43.58/13.76  																		+-Applying beta-rule and splitting (56), into two cases.
% 43.58/13.76  																		|-Branch one:
% 43.58/13.76  																		| (463) all_0_78_78 = e4
% 43.58/13.76  																		|
% 43.58/13.76  																			| Combining equations (400,463) yields a new equation:
% 43.58/13.76  																			| (310) e4 = e2
% 43.58/13.76  																			|
% 43.58/13.76  																			| Equations (310) can reduce 79 to:
% 43.58/13.76  																			| (311) $false
% 43.58/13.76  																			|
% 43.58/13.76  																			|-The branch is then unsatisfiable
% 43.58/13.76  																		|-Branch two:
% 43.58/13.76  																		| (640)  ~ (all_0_78_78 = e4)
% 43.58/13.76  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.58/13.76  																		|
% 43.58/13.76  																			| Equations (400) can reduce 640 to:
% 43.58/13.76  																			| (528)  ~ (e4 = e2)
% 43.58/13.76  																			|
% 43.58/13.76  																			| Simplifying 528 yields:
% 43.58/13.76  																			| (79)  ~ (e4 = e2)
% 43.58/13.76  																			|
% 43.58/13.76  																			+-Applying beta-rule and splitting (108), into two cases.
% 43.58/13.76  																			|-Branch one:
% 43.58/13.76  																			| (477) all_0_81_81 = e1
% 43.58/13.76  																			|
% 43.58/13.76  																				| Equations (477) can reduce 15 to:
% 43.58/13.76  																				| (461)  ~ (all_0_79_79 = e1)
% 43.58/13.76  																				|
% 43.58/13.76  																				| Equations (477) can reduce 277 to:
% 43.58/13.76  																				| (480)  ~ (all_0_93_93 = e1)
% 43.58/13.76  																				|
% 43.58/13.76  																				| Simplifying 480 yields:
% 43.58/13.76  																				| (481)  ~ (all_0_93_93 = e1)
% 43.58/13.76  																				|
% 43.58/13.76  																				| From (477) and (145) follows:
% 43.58/13.76  																				| (14221) op(e0, e1) = all_0_69_69
% 43.58/13.76  																				|
% 43.58/13.76  																				+-Applying beta-rule and splitting (1623), into two cases.
% 43.58/13.76  																				|-Branch one:
% 43.58/13.76  																				| (457) all_0_79_79 = e1
% 43.58/13.76  																				|
% 43.58/13.76  																					| Equations (457) can reduce 461 to:
% 43.58/13.76  																					| (311) $false
% 43.58/13.76  																					|
% 43.58/13.76  																					|-The branch is then unsatisfiable
% 43.58/13.76  																				|-Branch two:
% 43.58/13.76  																				| (461)  ~ (all_0_79_79 = e1)
% 43.58/13.76  																				| (1708) all_0_79_79 = e3
% 43.58/13.76  																				|
% 43.58/13.76  																					| Equations (1708) can reduce 63 to:
% 43.58/13.76  																					| (3267)  ~ (all_0_80_80 = e3)
% 43.58/13.76  																					|
% 43.58/13.76  																					| Simplifying 3267 yields:
% 43.58/13.76  																					| (2347)  ~ (all_0_80_80 = e3)
% 43.58/13.76  																					|
% 43.58/13.76  																					| Equations (1708) can reduce 1622 to:
% 43.58/13.76  																					| (169)  ~ (e3 = e2)
% 43.58/13.76  																					|
% 43.58/13.76  																					| Equations (1708) can reduce 461 to:
% 43.58/13.76  																					| (20)  ~ (e3 = e1)
% 43.58/13.76  																					|
% 43.58/13.76  																					+-Applying beta-rule and splitting (641), into two cases.
% 43.58/13.76  																					|-Branch one:
% 43.58/13.76  																					| (433) all_0_80_80 = e4
% 43.58/13.76  																					|
% 43.58/13.76  																						| Equations (433) can reduce 273 to:
% 43.58/13.76  																						| (662)  ~ (all_0_84_84 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Simplifying 662 yields:
% 43.58/13.76  																						| (417)  ~ (all_0_84_84 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Equations (433) can reduce 49 to:
% 43.58/13.76  																						| (1906)  ~ (all_0_92_92 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Simplifying 1906 yields:
% 43.58/13.76  																						| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Equations (433) can reduce 202 to:
% 43.58/13.76  																						| (318)  ~ (all_0_97_97 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Simplifying 318 yields:
% 43.58/13.76  																						| (319)  ~ (all_0_97_97 = e4)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Equations (433) can reduce 2347 to:
% 43.58/13.76  																						| (177)  ~ (e4 = e3)
% 43.58/13.76  																						|
% 43.58/13.76  																						| Equations (433) can reduce 166 to:
% 43.58/13.76  																						| (23)  ~ (e4 = e0)
% 43.58/13.76  																						|
% 43.58/13.76  																						| From (433) and (233) follows:
% 43.58/13.76  																						| (4027) op(e1, e4) = all_0_60_60
% 43.58/13.76  																						|
% 43.58/13.76  																						| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 43.58/13.76  																						| (4076) all_0_60_60 = e2
% 43.58/13.76  																						|
% 43.58/13.76  																						| Instantiating formula (262) with e0, e1, all_0_69_69, all_0_97_97 and discharging atoms op(e0, e1) = all_0_69_69, op(e0, e1) = all_0_97_97, yields:
% 43.58/13.76  																						| (14241) all_0_69_69 = all_0_97_97
% 43.58/13.76  																						|
% 43.58/13.76  																						+-Applying beta-rule and splitting (127), into two cases.
% 43.58/13.76  																						|-Branch one:
% 43.58/13.76  																						| (457) all_0_79_79 = e1
% 43.58/13.76  																						|
% 43.58/13.76  																							| Combining equations (1708,457) yields a new equation:
% 43.58/13.76  																							| (825) e3 = e1
% 43.58/13.76  																							|
% 43.58/13.76  																							| Simplifying 825 yields:
% 43.58/13.76  																							| (772) e3 = e1
% 43.58/13.76  																							|
% 43.58/13.76  																							| Equations (772) can reduce 20 to:
% 43.58/13.76  																							| (311) $false
% 43.58/13.76  																							|
% 43.58/13.76  																							|-The branch is then unsatisfiable
% 43.58/13.76  																						|-Branch two:
% 43.58/13.76  																						| (461)  ~ (all_0_79_79 = e1)
% 43.58/13.76  																						| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.58/13.76  																						|
% 43.58/13.76  																							| Equations (1708) can reduce 461 to:
% 43.58/13.76  																							| (20)  ~ (e3 = e1)
% 43.58/13.76  																							|
% 43.58/13.76  																							+-Applying beta-rule and splitting (109), into two cases.
% 43.58/13.76  																							|-Branch one:
% 43.58/13.76  																							| (469) all_0_82_82 = e4
% 43.58/13.76  																							|
% 43.58/13.76  																								| Equations (469) can reduce 7 to:
% 43.58/13.76  																								| (662)  ~ (all_0_84_84 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Simplifying 662 yields:
% 43.58/13.76  																								| (417)  ~ (all_0_84_84 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Equations (469) can reduce 255 to:
% 43.58/13.76  																								| (466)  ~ (all_0_90_90 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Simplifying 466 yields:
% 43.58/13.76  																								| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Equations (469) can reduce 200 to:
% 43.58/13.76  																								| (314)  ~ (all_0_95_95 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Simplifying 314 yields:
% 43.58/13.76  																								| (315)  ~ (all_0_95_95 = e4)
% 43.58/13.76  																								|
% 43.58/13.76  																								| Equations (469) can reduce 347 to:
% 43.58/13.76  																								| (79)  ~ (e4 = e2)
% 43.58/13.76  																								|
% 43.58/13.76  																								| From (469) and (61) follows:
% 43.58/13.76  																								| (671) op(e3, e3) = e4
% 43.58/13.76  																								|
% 43.58/13.76  																								+-Applying beta-rule and splitting (249), into two cases.
% 43.58/13.76  																								|-Branch one:
% 43.58/13.76  																								| (910) all_0_82_82 = e0
% 43.58/13.76  																								|
% 43.58/13.76  																									| Combining equations (910,469) yields a new equation:
% 43.58/13.76  																									| (912) e4 = e0
% 43.58/13.76  																									|
% 43.58/13.76  																									| Equations (912) can reduce 23 to:
% 43.58/13.76  																									| (311) $false
% 43.58/13.76  																									|
% 43.58/13.76  																									|-The branch is then unsatisfiable
% 43.58/13.76  																								|-Branch two:
% 43.58/13.76  																								| (914)  ~ (all_0_82_82 = e0)
% 43.58/13.76  																								| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.58/13.76  																								|
% 43.58/13.76  																									+-Applying beta-rule and splitting (182), into two cases.
% 43.58/13.76  																									|-Branch one:
% 43.58/13.76  																									| (512) all_0_85_85 = e2
% 43.58/13.76  																									|
% 43.58/13.76  																										| Equations (512) can reduce 515 to:
% 43.58/13.76  																										| (311) $false
% 43.58/13.76  																										|
% 43.58/13.76  																										|-The branch is then unsatisfiable
% 43.58/13.76  																									|-Branch two:
% 43.58/13.76  																									| (515)  ~ (all_0_85_85 = e2)
% 43.58/13.76  																									| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 43.58/13.76  																									|
% 43.58/13.76  																										+-Applying beta-rule and splitting (1309), into two cases.
% 43.58/13.76  																										|-Branch one:
% 43.58/13.76  																										| (798) all_0_83_83 = e0
% 43.58/13.76  																										|
% 43.58/13.76  																											| Combining equations (453,798) yields a new equation:
% 43.58/13.76  																											| (923) e2 = e0
% 43.58/13.76  																											|
% 43.58/13.76  																											| Simplifying 923 yields:
% 43.58/13.76  																											| (379) e2 = e0
% 43.58/13.76  																											|
% 43.58/13.76  																											| Equations (379) can reduce 76 to:
% 43.58/13.76  																											| (311) $false
% 43.58/13.76  																											|
% 43.58/13.76  																											|-The branch is then unsatisfiable
% 43.58/13.76  																										|-Branch two:
% 43.58/13.76  																										| (1314)  ~ (all_0_83_83 = e0)
% 43.58/13.76  																										| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.58/13.76  																										|
% 43.58/13.76  																											+-Applying beta-rule and splitting (46), into two cases.
% 43.58/13.76  																											|-Branch one:
% 43.58/13.76  																											| (308) all_0_89_89 = e4
% 43.58/13.76  																											|
% 43.58/13.76  																												| Combining equations (308,292) yields a new equation:
% 43.58/13.76  																												| (309) e4 = e2
% 43.58/13.76  																												|
% 43.58/13.76  																												| Simplifying 309 yields:
% 43.58/13.76  																												| (310) e4 = e2
% 43.58/13.76  																												|
% 43.58/13.76  																												| Equations (310) can reduce 79 to:
% 43.58/13.76  																												| (311) $false
% 43.58/13.76  																												|
% 43.58/13.76  																												|-The branch is then unsatisfiable
% 43.58/13.76  																											|-Branch two:
% 43.58/13.76  																											| (312)  ~ (all_0_89_89 = e4)
% 43.58/13.76  																											| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.76  																											|
% 43.58/13.76  																												+-Applying beta-rule and splitting (725), into two cases.
% 43.58/13.76  																												|-Branch one:
% 43.58/13.76  																												| (804) all_0_85_85 = e3
% 43.58/13.76  																												|
% 43.58/13.76  																													| Equations (804) can reduce 154 to:
% 43.58/13.76  																													| (422)  ~ (all_0_84_84 = e3)
% 43.58/13.76  																													|
% 43.58/13.76  																													| Equations (804) can reduce 800 to:
% 43.58/13.76  																													| (50)  ~ (e3 = e0)
% 43.58/13.76  																													|
% 43.58/13.76  																													| From (804) and (197) follows:
% 43.58/13.76  																													| (811) op(e3, e3) = all_0_72_72
% 43.58/13.76  																													|
% 43.58/13.76  																													| From (804) and (26) follows:
% 43.58/13.76  																													| (1891) op(e0, e3) = all_0_71_71
% 43.58/13.76  																													|
% 43.58/13.76  																													+-Applying beta-rule and splitting (1315), into two cases.
% 43.58/13.76  																													|-Branch one:
% 43.58/13.76  																													| (916) all_0_84_84 = e0
% 43.58/13.76  																													|
% 43.58/13.76  																														| Equations (916) can reduce 87 to:
% 43.58/13.76  																														| (2299)  ~ (all_0_92_92 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| Simplifying 2299 yields:
% 43.58/13.76  																														| (946)  ~ (all_0_92_92 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| Equations (916) can reduce 195 to:
% 43.58/13.76  																														| (938)  ~ (all_0_97_97 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| Simplifying 938 yields:
% 43.58/13.76  																														| (609)  ~ (all_0_97_97 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| Equations (916) can reduce 422 to:
% 43.58/13.76  																														| (906)  ~ (e3 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| Simplifying 906 yields:
% 43.58/13.76  																														| (50)  ~ (e3 = e0)
% 43.58/13.76  																														|
% 43.58/13.76  																														| From (916) and (122) follows:
% 43.58/13.76  																														| (1321) op(e1, e0) = all_0_62_62
% 43.58/13.76  																														|
% 43.58/13.76  																														+-Applying beta-rule and splitting (1915), into two cases.
% 43.58/13.76  																														|-Branch one:
% 43.58/13.76  																														| (583) all_0_90_90 = e4
% 43.58/13.76  																														|
% 43.58/13.76  																															| Equations (583) can reduce 467 to:
% 43.58/13.76  																															| (311) $false
% 43.58/13.76  																															|
% 43.58/13.76  																															|-The branch is then unsatisfiable
% 43.58/13.76  																														|-Branch two:
% 43.58/13.76  																														| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.76  																														| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.76  																														|
% 43.58/13.76  																															+-Applying beta-rule and splitting (65), into two cases.
% 43.58/13.76  																															|-Branch one:
% 43.58/13.76  																															| (522) all_0_93_93 = e2
% 43.58/13.76  																															|
% 43.58/13.76  																																| Equations (522) can reduce 300 to:
% 43.58/13.76  																																| (311) $false
% 43.58/13.76  																																|
% 43.58/13.76  																																|-The branch is then unsatisfiable
% 43.58/13.76  																															|-Branch two:
% 43.58/13.76  																															| (300)  ~ (all_0_93_93 = e2)
% 43.58/13.76  																															| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 43.58/13.76  																															|
% 43.58/13.76  																																+-Applying beta-rule and splitting (565), into two cases.
% 43.58/13.76  																																|-Branch one:
% 43.58/13.76  																																| (566) all_0_93_93 = e1
% 43.58/13.76  																																|
% 43.58/13.76  																																	| Equations (566) can reduce 481 to:
% 43.58/13.76  																																	| (311) $false
% 43.58/13.76  																																	|
% 43.58/13.76  																																	|-The branch is then unsatisfiable
% 43.58/13.76  																																|-Branch two:
% 43.58/13.76  																																| (481)  ~ (all_0_93_93 = e1)
% 43.58/13.76  																																| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 43.58/13.76  																																|
% 43.58/13.76  																																	+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.76  																																	|-Branch one:
% 43.58/13.76  																																	| (442) all_0_92_92 = e4
% 43.58/13.76  																																	|
% 43.58/13.76  																																		| Equations (442) can reduce 1619 to:
% 43.58/13.76  																																		| (311) $false
% 43.58/13.76  																																		|
% 43.58/13.76  																																		|-The branch is then unsatisfiable
% 43.58/13.76  																																	|-Branch two:
% 43.58/13.76  																																	| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.76  																																	| (607) all_0_93_93 = e4
% 43.58/13.76  																																	|
% 43.58/13.76  																																		| Equations (607) can reduce 34 to:
% 43.58/13.76  																																		| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Equations (607) can reduce 300 to:
% 43.58/13.76  																																		| (79)  ~ (e4 = e2)
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Equations (607) can reduce 481 to:
% 43.58/13.76  																																		| (256)  ~ (e4 = e1)
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| From (607) and (231) follows:
% 43.58/13.76  																																		| (13057) op(e1, e0) = e4
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| From (607) and (173) follows:
% 43.58/13.76  																																		| (1935) op(e0, e4) = all_0_75_75
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Instantiating formula (262) with e3, e3, e4, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e4, yields:
% 43.58/13.76  																																		| (844) all_0_72_72 = e4
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Instantiating formula (262) with e1, e0, e4, all_0_62_62 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e4, yields:
% 43.58/13.76  																																		| (4461) all_0_62_62 = e4
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 43.58/13.76  																																		| (1966) all_0_75_75 = e4
% 43.58/13.76  																																		|
% 43.58/13.76  																																		| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 43.58/13.76  																																		| (14316) all_0_71_71 = all_0_95_95
% 43.58/13.76  																																		|
% 43.58/13.76  																																		+-Applying beta-rule and splitting (89), into two cases.
% 43.58/13.76  																																		|-Branch one:
% 43.58/13.76  																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.58/13.76  																																		|
% 43.58/13.76  																																			+-Applying beta-rule and splitting (1373), into two cases.
% 43.58/13.76  																																			|-Branch one:
% 43.58/13.76  																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.58/13.76  																																			|
% 43.58/13.76  																																				+-Applying beta-rule and splitting (1374), into two cases.
% 43.58/13.76  																																				|-Branch one:
% 43.58/13.76  																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.58/13.76  																																				|
% 43.58/13.76  																																					| Applying alpha-rule on (1375) yields:
% 43.58/13.76  																																					| (1376) all_0_69_69 = e4
% 43.58/13.76  																																					| (1377)  ~ (all_0_70_70 = e0)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Combining equations (1376,14241) yields a new equation:
% 43.58/13.76  																																					| (610) all_0_97_97 = e4
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Equations (610) can reduce 319 to:
% 43.58/13.76  																																					| (311) $false
% 43.58/13.76  																																					|
% 43.58/13.76  																																					|-The branch is then unsatisfiable
% 43.58/13.76  																																				|-Branch two:
% 43.58/13.76  																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.58/13.76  																																				|
% 43.58/13.76  																																					| Applying alpha-rule on (1379) yields:
% 43.58/13.76  																																					| (1380) all_0_71_71 = e3
% 43.58/13.76  																																					| (1381)  ~ (all_0_72_72 = e0)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Combining equations (1380,14316) yields a new equation:
% 43.58/13.76  																																					| (744) all_0_95_95 = e3
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Equations (844) can reduce 1381 to:
% 43.58/13.76  																																					| (23)  ~ (e4 = e0)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Equations (744) can reduce 279 to:
% 43.58/13.76  																																					| (1300)  ~ (all_0_96_96 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Simplifying 1300 yields:
% 43.58/13.76  																																					| (964)  ~ (all_0_96_96 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Equations (744) can reduce 105 to:
% 43.58/13.76  																																					| (427)  ~ (all_0_97_97 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Simplifying 427 yields:
% 43.58/13.76  																																					| (428)  ~ (all_0_97_97 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Equations (744) can reduce 315 to:
% 43.58/13.76  																																					| (783)  ~ (e4 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					| Simplifying 783 yields:
% 43.58/13.76  																																					| (177)  ~ (e4 = e3)
% 43.58/13.76  																																					|
% 43.58/13.76  																																					+-Applying beta-rule and splitting (276), into two cases.
% 43.58/13.76  																																					|-Branch one:
% 43.58/13.76  																																					| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.58/13.76  																																					|
% 43.58/13.76  																																						+-Applying beta-rule and splitting (577), into two cases.
% 43.58/13.76  																																						|-Branch one:
% 43.58/13.76  																																						| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.58/13.76  																																						|
% 43.58/13.76  																																							+-Applying beta-rule and splitting (578), into two cases.
% 43.58/13.76  																																							|-Branch one:
% 43.58/13.76  																																							| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.58/13.76  																																							|
% 43.58/13.76  																																								| Applying alpha-rule on (579) yields:
% 43.58/13.76  																																								| (580) all_0_60_60 = e4
% 43.58/13.76  																																								| (581)  ~ (all_0_61_61 = e1)
% 43.58/13.76  																																								|
% 43.58/13.76  																																								| Combining equations (4076,580) yields a new equation:
% 43.58/13.76  																																								| (310) e4 = e2
% 43.58/13.76  																																								|
% 43.58/13.76  																																								| Equations (310) can reduce 79 to:
% 43.58/13.76  																																								| (311) $false
% 43.58/13.76  																																								|
% 43.58/13.76  																																								|-The branch is then unsatisfiable
% 43.58/13.76  																																							|-Branch two:
% 43.58/13.76  																																							| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.58/13.76  																																							|
% 43.58/13.76  																																								| Applying alpha-rule on (585) yields:
% 43.58/13.76  																																								| (586) all_0_62_62 = e3
% 43.58/13.76  																																								| (587)  ~ (all_0_63_63 = e1)
% 43.58/13.76  																																								|
% 43.58/13.76  																																								| Combining equations (4461,586) yields a new equation:
% 43.58/13.76  																																								| (790) e4 = e3
% 43.58/13.76  																																								|
% 43.58/13.76  																																								| Simplifying 790 yields:
% 43.58/13.76  																																								| (434) e4 = e3
% 43.58/13.76  																																								|
% 43.58/13.76  																																								| Equations (434) can reduce 177 to:
% 43.58/13.76  																																								| (311) $false
% 43.58/13.76  																																								|
% 43.58/13.76  																																								|-The branch is then unsatisfiable
% 43.58/13.76  																																						|-Branch two:
% 43.58/13.77  																																						| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.58/13.77  																																						|
% 43.58/13.77  																																							| Applying alpha-rule on (590) yields:
% 43.58/13.77  																																							| (591) all_0_64_64 = e2
% 43.58/13.77  																																							| (592)  ~ (all_0_65_65 = e1)
% 43.58/13.77  																																							|
% 43.58/13.77  																																							| Combining equations (9535,591) yields a new equation:
% 43.58/13.77  																																							| (14351) all_0_91_91 = e2
% 43.58/13.77  																																							|
% 43.58/13.77  																																							| Simplifying 14351 yields:
% 43.58/13.77  																																							| (1723) all_0_91_91 = e2
% 43.58/13.77  																																							|
% 43.58/13.77  																																							| Equations (1723) can reduce 296 to:
% 43.58/13.77  																																							| (311) $false
% 43.58/13.77  																																							|
% 43.58/13.77  																																							|-The branch is then unsatisfiable
% 43.58/13.77  																																					|-Branch two:
% 43.58/13.77  																																					| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.58/13.77  																																					|
% 43.58/13.77  																																						| Applying alpha-rule on (596) yields:
% 43.58/13.77  																																						| (597) all_0_67_67 = e0
% 43.58/13.77  																																						| (598)  ~ (all_0_68_68 = e1)
% 43.58/13.77  																																						|
% 43.58/13.77  																																						| From (597) and (252) follows:
% 43.58/13.77  																																						| (8666) op(e1, all_0_97_97) = e0
% 43.58/13.77  																																						|
% 43.58/13.77  																																						+-Applying beta-rule and splitting (207), into two cases.
% 43.58/13.77  																																						|-Branch one:
% 43.58/13.77  																																						| (416) all_0_80_80 = e3
% 43.58/13.77  																																						|
% 43.58/13.77  																																							| Combining equations (433,416) yields a new equation:
% 43.58/13.77  																																							| (790) e4 = e3
% 43.58/13.77  																																							|
% 43.58/13.77  																																							| Simplifying 790 yields:
% 43.58/13.77  																																							| (434) e4 = e3
% 43.58/13.77  																																							|
% 43.58/13.77  																																							| Equations (434) can reduce 177 to:
% 43.58/13.77  																																							| (311) $false
% 43.58/13.77  																																							|
% 43.58/13.77  																																							|-The branch is then unsatisfiable
% 43.58/13.77  																																						|-Branch two:
% 43.58/13.77  																																						| (2347)  ~ (all_0_80_80 = e3)
% 43.58/13.77  																																						| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.58/13.77  																																						|
% 43.58/13.77  																																							+-Applying beta-rule and splitting (112), into two cases.
% 43.58/13.77  																																							|-Branch one:
% 43.58/13.77  																																							| (538) all_0_97_97 = e2
% 43.58/13.77  																																							|
% 43.58/13.77  																																								| Equations (538) can reduce 527 to:
% 43.58/13.77  																																								| (311) $false
% 43.58/13.77  																																								|
% 43.58/13.77  																																								|-The branch is then unsatisfiable
% 43.58/13.77  																																							|-Branch two:
% 43.58/13.77  																																							| (527)  ~ (all_0_97_97 = e2)
% 43.58/13.77  																																							| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 43.58/13.77  																																							|
% 43.58/13.77  																																								+-Applying beta-rule and splitting (2481), into two cases.
% 43.58/13.77  																																								|-Branch one:
% 43.58/13.77  																																								| (1265) all_0_84_84 = e3
% 43.58/13.77  																																								|
% 43.58/13.77  																																									| Combining equations (916,1265) yields a new equation:
% 43.58/13.77  																																									| (600) e3 = e0
% 43.58/13.77  																																									|
% 43.58/13.77  																																									| Equations (600) can reduce 50 to:
% 43.58/13.77  																																									| (311) $false
% 43.58/13.77  																																									|
% 43.58/13.77  																																									|-The branch is then unsatisfiable
% 43.58/13.77  																																								|-Branch two:
% 43.58/13.77  																																								| (422)  ~ (all_0_84_84 = e3)
% 43.58/13.77  																																								| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.58/13.77  																																								|
% 43.58/13.77  																																									+-Applying beta-rule and splitting (27), into two cases.
% 43.58/13.77  																																									|-Branch one:
% 43.58/13.77  																																									| (746) all_0_90_90 = e2
% 43.58/13.77  																																									|
% 43.58/13.77  																																										| Equations (746) can reduce 294 to:
% 43.58/13.77  																																										| (311) $false
% 43.58/13.77  																																										|
% 43.58/13.77  																																										|-The branch is then unsatisfiable
% 43.58/13.77  																																									|-Branch two:
% 43.58/13.77  																																									| (294)  ~ (all_0_90_90 = e2)
% 43.58/13.77  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.58/13.77  																																									|
% 43.58/13.77  																																										+-Applying beta-rule and splitting (3765), into two cases.
% 43.58/13.77  																																										|-Branch one:
% 43.58/13.77  																																										| (882) all_0_92_92 = e3
% 43.58/13.77  																																										|
% 43.58/13.77  																																											| Equations (882) can reduce 72 to:
% 43.58/13.77  																																											| (745)  ~ (all_0_90_90 = e3)
% 43.58/13.77  																																											|
% 43.58/13.77  																																											| Equations (882) can reduce 265 to:
% 43.58/13.77  																																											| (571)  ~ (all_0_91_91 = e3)
% 43.58/13.77  																																											|
% 43.58/13.77  																																											| Equations (882) can reduce 946 to:
% 43.58/13.77  																																											| (50)  ~ (e3 = e0)
% 43.58/13.77  																																											|
% 43.58/13.77  																																											| From (882) and (135) follows:
% 43.58/13.77  																																											| (8770) op(e1, e1) = e3
% 43.58/13.77  																																											|
% 43.58/13.77  																																											+-Applying beta-rule and splitting (749), into two cases.
% 43.58/13.77  																																											|-Branch one:
% 43.58/13.77  																																											| (750) all_0_90_90 = e1
% 43.58/13.77  																																											|
% 43.58/13.77  																																												| Equations (750) can reduce 678 to:
% 43.58/13.77  																																												| (311) $false
% 43.58/13.77  																																												|
% 43.58/13.77  																																												|-The branch is then unsatisfiable
% 43.58/13.77  																																											|-Branch two:
% 43.58/13.77  																																											| (678)  ~ (all_0_90_90 = e1)
% 43.58/13.77  																																											| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 43.58/13.77  																																											|
% 43.58/13.77  																																												+-Applying beta-rule and splitting (541), into two cases.
% 43.58/13.77  																																												|-Branch one:
% 43.58/13.77  																																												| (542) all_0_97_97 = e1
% 43.58/13.77  																																												|
% 43.58/13.77  																																													| Equations (542) can reduce 22 to:
% 43.58/13.77  																																													| (1479)  ~ (all_0_96_96 = e1)
% 43.58/13.77  																																													|
% 43.58/13.77  																																													| Equations (542) can reduce 609 to:
% 43.58/13.77  																																													| (264)  ~ (e1 = e0)
% 43.58/13.77  																																													|
% 43.58/13.77  																																													| From (542) and (8666) follows:
% 43.58/13.77  																																													| (4548) op(e1, e1) = e0
% 43.58/13.77  																																													|
% 43.58/13.77  																																													+-Applying beta-rule and splitting (84), into two cases.
% 43.58/13.77  																																													|-Branch one:
% 43.58/13.77  																																													| (1704) all_0_96_96 = e2
% 43.58/13.77  																																													|
% 43.58/13.77  																																														| Equations (1704) can reduce 1638 to:
% 43.58/13.77  																																														| (311) $false
% 43.58/13.77  																																														|
% 43.58/13.77  																																														|-The branch is then unsatisfiable
% 43.58/13.77  																																													|-Branch two:
% 43.58/13.77  																																													| (1638)  ~ (all_0_96_96 = e2)
% 43.58/13.77  																																													| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.58/13.77  																																													|
% 43.58/13.77  																																														+-Applying beta-rule and splitting (753), into two cases.
% 43.58/13.77  																																														|-Branch one:
% 43.58/13.77  																																														| (754) all_0_90_90 = e3
% 43.58/13.77  																																														|
% 43.58/13.77  																																															| Equations (754) can reduce 745 to:
% 43.58/13.77  																																															| (311) $false
% 43.58/13.77  																																															|
% 43.58/13.77  																																															|-The branch is then unsatisfiable
% 43.58/13.77  																																														|-Branch two:
% 43.58/13.77  																																														| (745)  ~ (all_0_90_90 = e3)
% 43.58/13.77  																																														| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 43.58/13.77  																																														|
% 43.58/13.77  																																															+-Applying beta-rule and splitting (132), into two cases.
% 43.58/13.77  																																															|-Branch one:
% 43.58/13.77  																																															| (750) all_0_90_90 = e1
% 43.58/13.77  																																															|
% 43.58/13.77  																																																| Equations (750) can reduce 678 to:
% 43.58/13.77  																																																| (311) $false
% 43.58/13.77  																																																|
% 43.58/13.77  																																																|-The branch is then unsatisfiable
% 43.58/13.77  																																															|-Branch two:
% 43.58/13.77  																																															| (678)  ~ (all_0_90_90 = e1)
% 43.58/13.77  																																															| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.58/13.77  																																															|
% 43.58/13.77  																																																+-Applying beta-rule and splitting (102), into two cases.
% 43.58/13.77  																																																|-Branch one:
% 43.58/13.77  																																																| (858) all_0_95_95 = e0
% 43.58/13.77  																																																|
% 43.58/13.77  																																																	| Combining equations (744,858) yields a new equation:
% 43.58/13.77  																																																	| (599) e3 = e0
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																	| Simplifying 599 yields:
% 43.58/13.77  																																																	| (600) e3 = e0
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																	| Equations (600) can reduce 50 to:
% 43.58/13.77  																																																	| (311) $false
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																	|-The branch is then unsatisfiable
% 43.58/13.77  																																																|-Branch two:
% 43.58/13.77  																																																| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.77  																																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.58/13.77  																																																|
% 43.58/13.77  																																																	+-Applying beta-rule and splitting (1526), into two cases.
% 43.58/13.77  																																																	|-Branch one:
% 43.58/13.77  																																																	| (801) all_0_91_91 = e1
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																		| Equations (801) can reduce 103 to:
% 43.58/13.77  																																																		| (678)  ~ (all_0_90_90 = e1)
% 43.58/13.77  																																																		|
% 43.58/13.77  																																																		+-Applying beta-rule and splitting (757), into two cases.
% 43.58/13.77  																																																		|-Branch one:
% 43.58/13.77  																																																		| (758) all_0_90_90 = e0
% 43.58/13.77  																																																		|
% 43.58/13.77  																																																			| Equations (758) can reduce 678 to:
% 43.58/13.77  																																																			| (859)  ~ (e1 = e0)
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			| Simplifying 859 yields:
% 43.58/13.77  																																																			| (264)  ~ (e1 = e0)
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			+-Applying beta-rule and splitting (1921), into two cases.
% 43.58/13.77  																																																			|-Branch one:
% 43.58/13.77  																																																			| (1837) all_0_96_96 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																				| Equations (1837) can reduce 964 to:
% 43.58/13.77  																																																				| (906)  ~ (e3 = e0)
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				| Simplifying 906 yields:
% 43.58/13.77  																																																				| (50)  ~ (e3 = e0)
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				| Instantiating formula (262) with e1, e1, e0, e3 and discharging atoms op(e1, e1) = e3, op(e1, e1) = e0, yields:
% 43.58/13.77  																																																				| (600) e3 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				| Equations (600) can reduce 50 to:
% 43.58/13.77  																																																				| (311) $false
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				|-The branch is then unsatisfiable
% 43.58/13.77  																																																			|-Branch two:
% 43.58/13.77  																																																			| (2095)  ~ (all_0_96_96 = e0)
% 43.58/13.77  																																																			| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																				+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.77  																																																				|-Branch one:
% 43.58/13.77  																																																				| (1456) all_0_91_91 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																					| Combining equations (1456,801) yields a new equation:
% 43.58/13.77  																																																					| (865) e1 = e0
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																					| Equations (865) can reduce 264 to:
% 43.58/13.77  																																																					| (311) $false
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																					|-The branch is then unsatisfiable
% 43.58/13.77  																																																				|-Branch two:
% 43.58/13.77  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.77  																																																				| (1837) all_0_96_96 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																					| Equations (1837) can reduce 2095 to:
% 43.58/13.77  																																																					| (311) $false
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																					|-The branch is then unsatisfiable
% 43.58/13.77  																																																		|-Branch two:
% 43.58/13.77  																																																		| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.77  																																																		| (583) all_0_90_90 = e4
% 43.58/13.77  																																																		|
% 43.58/13.77  																																																			| Equations (583) can reduce 467 to:
% 43.58/13.77  																																																			| (311) $false
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			|-The branch is then unsatisfiable
% 43.58/13.77  																																																	|-Branch two:
% 43.58/13.77  																																																	| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.77  																																																	| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																		+-Applying beta-rule and splitting (254), into two cases.
% 43.58/13.77  																																																		|-Branch one:
% 43.58/13.77  																																																		| (910) all_0_82_82 = e0
% 43.58/13.77  																																																		|
% 43.58/13.77  																																																			| Combining equations (469,910) yields a new equation:
% 43.58/13.77  																																																			| (911) e4 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			| Simplifying 911 yields:
% 43.58/13.77  																																																			| (912) e4 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			| Equations (912) can reduce 23 to:
% 43.58/13.77  																																																			| (311) $false
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																			|-The branch is then unsatisfiable
% 43.58/13.77  																																																		|-Branch two:
% 43.58/13.77  																																																		| (914)  ~ (all_0_82_82 = e0)
% 43.58/13.77  																																																		| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 43.58/13.77  																																																		|
% 43.58/13.77  																																																			+-Applying beta-rule and splitting (915), into two cases.
% 43.58/13.77  																																																			|-Branch one:
% 43.58/13.77  																																																			| (378) all_0_86_86 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																				| Combining equations (384,378) yields a new equation:
% 43.58/13.77  																																																				| (1107) e1 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				| Simplifying 1107 yields:
% 43.58/13.77  																																																				| (865) e1 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				| Equations (865) can reduce 264 to:
% 43.58/13.77  																																																				| (311) $false
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																				|-The branch is then unsatisfiable
% 43.58/13.77  																																																			|-Branch two:
% 43.58/13.77  																																																			| (381)  ~ (all_0_86_86 = e0)
% 43.58/13.77  																																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 43.58/13.77  																																																			|
% 43.58/13.77  																																																				+-Applying beta-rule and splitting (1707), into two cases.
% 43.58/13.77  																																																				|-Branch one:
% 43.58/13.77  																																																				| (960) all_0_96_96 = e1
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																					| Equations (960) can reduce 1479 to:
% 43.58/13.77  																																																					| (311) $false
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																					|-The branch is then unsatisfiable
% 43.58/13.77  																																																				|-Branch two:
% 43.58/13.77  																																																				| (1479)  ~ (all_0_96_96 = e1)
% 43.58/13.77  																																																				| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 43.58/13.77  																																																				|
% 43.58/13.77  																																																					+-Applying beta-rule and splitting (284), into two cases.
% 43.58/13.77  																																																					|-Branch one:
% 43.58/13.77  																																																					| (1723) all_0_91_91 = e2
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																						| Equations (1723) can reduce 296 to:
% 43.58/13.77  																																																						| (311) $false
% 43.58/13.77  																																																						|
% 43.58/13.77  																																																						|-The branch is then unsatisfiable
% 43.58/13.77  																																																					|-Branch two:
% 43.58/13.77  																																																					| (296)  ~ (all_0_91_91 = e2)
% 43.58/13.77  																																																					| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.58/13.77  																																																					|
% 43.58/13.77  																																																						+-Applying beta-rule and splitting (2016), into two cases.
% 43.58/13.77  																																																						|-Branch one:
% 43.58/13.77  																																																						| (778) all_0_96_96 = e3
% 43.58/13.77  																																																						|
% 43.58/13.77  																																																							| Equations (778) can reduce 964 to:
% 43.58/13.77  																																																							| (311) $false
% 43.58/13.77  																																																							|
% 43.58/13.77  																																																							|-The branch is then unsatisfiable
% 43.58/13.77  																																																						|-Branch two:
% 43.58/13.77  																																																						| (964)  ~ (all_0_96_96 = e3)
% 43.58/13.77  																																																						| (1837) all_0_96_96 = e0
% 43.58/13.77  																																																						|
% 43.58/13.77  																																																							| Equations (1837) can reduce 964 to:
% 43.58/13.77  																																																							| (906)  ~ (e3 = e0)
% 43.58/13.77  																																																							|
% 43.58/13.77  																																																							| Simplifying 906 yields:
% 43.58/13.77  																																																							| (50)  ~ (e3 = e0)
% 43.58/13.77  																																																							|
% 43.58/13.77  																																																							+-Applying beta-rule and splitting (1726), into two cases.
% 43.58/13.77  																																																							|-Branch one:
% 43.58/13.77  																																																							| (801) all_0_91_91 = e1
% 43.58/13.77  																																																							|
% 43.58/13.77  																																																								| Equations (801) can reduce 959 to:
% 43.58/13.77  																																																								| (311) $false
% 43.58/13.77  																																																								|
% 43.58/13.77  																																																								|-The branch is then unsatisfiable
% 43.58/13.77  																																																							|-Branch two:
% 43.58/13.77  																																																							| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.77  																																																							| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.58/13.77  																																																							|
% 43.58/13.77  																																																								+-Applying beta-rule and splitting (291), into two cases.
% 43.58/13.77  																																																								|-Branch one:
% 43.58/13.77  																																																								| (758) all_0_90_90 = e0
% 43.58/13.77  																																																								|
% 43.58/13.77  																																																									| Equations (758) can reduce 678 to:
% 43.58/13.77  																																																									| (859)  ~ (e1 = e0)
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																									| Simplifying 859 yields:
% 43.58/13.77  																																																									| (264)  ~ (e1 = e0)
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																									+-Applying beta-rule and splitting (462), into two cases.
% 43.58/13.77  																																																									|-Branch one:
% 43.58/13.77  																																																									| (801) all_0_91_91 = e1
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																										| Equations (801) can reduce 959 to:
% 43.58/13.77  																																																										| (311) $false
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										|-The branch is then unsatisfiable
% 43.58/13.77  																																																									|-Branch two:
% 43.58/13.77  																																																									| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.77  																																																									| (960) all_0_96_96 = e1
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																										| Combining equations (1837,960) yields a new equation:
% 43.58/13.77  																																																										| (865) e1 = e0
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										| Equations (865) can reduce 264 to:
% 43.58/13.77  																																																										| (311) $false
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										|-The branch is then unsatisfiable
% 43.58/13.77  																																																								|-Branch two:
% 43.58/13.77  																																																								| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.77  																																																								| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.77  																																																								|
% 43.58/13.77  																																																									+-Applying beta-rule and splitting (927), into two cases.
% 43.58/13.77  																																																									|-Branch one:
% 43.58/13.77  																																																									| (758) all_0_90_90 = e0
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																										| Equations (758) can reduce 762 to:
% 43.58/13.77  																																																										| (311) $false
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										|-The branch is then unsatisfiable
% 43.58/13.77  																																																									|-Branch two:
% 43.58/13.77  																																																									| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.77  																																																									| (858) all_0_95_95 = e0
% 43.58/13.77  																																																									|
% 43.58/13.77  																																																										| Combining equations (744,858) yields a new equation:
% 43.58/13.77  																																																										| (599) e3 = e0
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										| Simplifying 599 yields:
% 43.58/13.77  																																																										| (600) e3 = e0
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										| Equations (600) can reduce 50 to:
% 43.58/13.77  																																																										| (311) $false
% 43.58/13.77  																																																										|
% 43.58/13.77  																																																										|-The branch is then unsatisfiable
% 43.58/13.77  																																												|-Branch two:
% 43.58/13.77  																																												| (486)  ~ (all_0_97_97 = e1)
% 43.58/13.77  																																												| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 43.58/13.77  																																												|
% 43.58/13.77  																																													+-Applying beta-rule and splitting (753), into two cases.
% 43.58/13.77  																																													|-Branch one:
% 43.58/13.77  																																													| (754) all_0_90_90 = e3
% 43.58/13.77  																																													|
% 43.58/13.77  																																														| Equations (754) can reduce 745 to:
% 43.58/13.77  																																														| (311) $false
% 43.58/13.77  																																														|
% 43.58/13.77  																																														|-The branch is then unsatisfiable
% 43.58/13.77  																																													|-Branch two:
% 43.58/13.77  																																													| (745)  ~ (all_0_90_90 = e3)
% 43.58/13.77  																																													| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 43.58/13.77  																																													|
% 43.58/13.77  																																														+-Applying beta-rule and splitting (102), into two cases.
% 43.58/13.77  																																														|-Branch one:
% 43.58/13.77  																																														| (858) all_0_95_95 = e0
% 43.58/13.77  																																														|
% 43.58/13.77  																																															| Combining equations (858,744) yields a new equation:
% 43.58/13.77  																																															| (600) e3 = e0
% 43.58/13.77  																																															|
% 43.58/13.77  																																															| Equations (600) can reduce 50 to:
% 43.58/13.77  																																															| (311) $false
% 43.58/13.77  																																															|
% 43.58/13.77  																																															|-The branch is then unsatisfiable
% 43.58/13.77  																																														|-Branch two:
% 43.58/13.77  																																														| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.77  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.58/13.77  																																														|
% 43.58/13.77  																																															+-Applying beta-rule and splitting (1921), into two cases.
% 43.58/13.77  																																															|-Branch one:
% 43.58/13.77  																																															| (1837) all_0_96_96 = e0
% 43.58/13.77  																																															|
% 43.58/13.77  																																																+-Applying beta-rule and splitting (291), into two cases.
% 43.58/13.77  																																																|-Branch one:
% 43.58/13.77  																																																| (758) all_0_90_90 = e0
% 43.58/13.77  																																																|
% 43.58/13.77  																																																	| Equations (758) can reduce 678 to:
% 43.58/13.77  																																																	| (859)  ~ (e1 = e0)
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																	| Simplifying 859 yields:
% 43.58/13.77  																																																	| (264)  ~ (e1 = e0)
% 43.58/13.77  																																																	|
% 43.58/13.77  																																																	+-Applying beta-rule and splitting (284), into two cases.
% 43.58/13.77  																																																	|-Branch one:
% 43.58/13.78  																																																	| (1723) all_0_91_91 = e2
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		| Equations (1723) can reduce 296 to:
% 43.58/13.78  																																																		| (311) $false
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		|-The branch is then unsatisfiable
% 43.58/13.78  																																																	|-Branch two:
% 43.58/13.78  																																																	| (296)  ~ (all_0_91_91 = e2)
% 43.58/13.78  																																																	| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		+-Applying beta-rule and splitting (132), into two cases.
% 43.58/13.78  																																																		|-Branch one:
% 43.58/13.78  																																																		| (750) all_0_90_90 = e1
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																			| Combining equations (758,750) yields a new equation:
% 43.58/13.78  																																																			| (865) e1 = e0
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																			| Equations (865) can reduce 264 to:
% 43.58/13.78  																																																			| (311) $false
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																			|-The branch is then unsatisfiable
% 43.58/13.78  																																																		|-Branch two:
% 43.58/13.78  																																																		| (678)  ~ (all_0_90_90 = e1)
% 43.58/13.78  																																																		| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																			| Equations (758) can reduce 678 to:
% 43.58/13.78  																																																			| (859)  ~ (e1 = e0)
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																			| Simplifying 859 yields:
% 43.58/13.78  																																																			| (264)  ~ (e1 = e0)
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																			+-Applying beta-rule and splitting (151), into two cases.
% 43.58/13.78  																																																			|-Branch one:
% 43.58/13.78  																																																			| (824) all_0_80_80 = e1
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																				| Combining equations (433,824) yields a new equation:
% 43.58/13.78  																																																				| (813) e4 = e1
% 43.58/13.78  																																																				|
% 43.58/13.78  																																																				| Simplifying 813 yields:
% 43.58/13.78  																																																				| (814) e4 = e1
% 43.58/13.78  																																																				|
% 43.58/13.78  																																																				| Equations (814) can reduce 256 to:
% 43.58/13.78  																																																				| (311) $false
% 43.58/13.78  																																																				|
% 43.58/13.78  																																																				|-The branch is then unsatisfiable
% 43.58/13.78  																																																			|-Branch two:
% 43.58/13.78  																																																			| (828)  ~ (all_0_80_80 = e1)
% 43.58/13.78  																																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.58/13.78  																																																			|
% 43.58/13.78  																																																				+-Applying beta-rule and splitting (1526), into two cases.
% 43.58/13.78  																																																				|-Branch one:
% 43.58/13.78  																																																				| (801) all_0_91_91 = e1
% 43.58/13.78  																																																				|
% 43.58/13.78  																																																					| Equations (801) can reduce 571 to:
% 43.58/13.78  																																																					| (683)  ~ (e3 = e1)
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																					| Simplifying 683 yields:
% 43.58/13.78  																																																					| (20)  ~ (e3 = e1)
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																					| Equations (801) can reduce 296 to:
% 43.58/13.78  																																																					| (487)  ~ (e2 = e1)
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																					| Simplifying 487 yields:
% 43.58/13.78  																																																					| (243)  ~ (e2 = e1)
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																					+-Applying beta-rule and splitting (829), into two cases.
% 43.58/13.78  																																																					|-Branch one:
% 43.58/13.78  																																																					| (482) all_0_87_87 = e1
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																						| Combining equations (374,482) yields a new equation:
% 43.58/13.78  																																																						| (408) e2 = e1
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						| Simplifying 408 yields:
% 43.58/13.78  																																																						| (385) e2 = e1
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						| Equations (385) can reduce 243 to:
% 43.58/13.78  																																																						| (311) $false
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						|-The branch is then unsatisfiable
% 43.58/13.78  																																																					|-Branch two:
% 43.58/13.78  																																																					| (625)  ~ (all_0_87_87 = e1)
% 43.58/13.78  																																																					| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																						+-Applying beta-rule and splitting (835), into two cases.
% 43.58/13.78  																																																						|-Branch one:
% 43.58/13.78  																																																						| (836) all_0_92_92 = e1
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																							| Combining equations (882,836) yields a new equation:
% 43.58/13.78  																																																							| (825) e3 = e1
% 43.58/13.78  																																																							|
% 43.58/13.78  																																																							| Simplifying 825 yields:
% 43.58/13.78  																																																							| (772) e3 = e1
% 43.58/13.78  																																																							|
% 43.58/13.78  																																																							| Equations (772) can reduce 20 to:
% 43.58/13.78  																																																							| (311) $false
% 43.58/13.78  																																																							|
% 43.58/13.78  																																																							|-The branch is then unsatisfiable
% 43.58/13.78  																																																						|-Branch two:
% 43.58/13.78  																																																						| (840)  ~ (all_0_92_92 = e1)
% 43.58/13.78  																																																						| (542) all_0_97_97 = e1
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																							| Equations (542) can reduce 486 to:
% 43.58/13.78  																																																							| (311) $false
% 43.58/13.78  																																																							|
% 43.58/13.78  																																																							|-The branch is then unsatisfiable
% 43.58/13.78  																																																				|-Branch two:
% 43.58/13.78  																																																				| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.78  																																																				| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.58/13.78  																																																				|
% 43.58/13.78  																																																					+-Applying beta-rule and splitting (462), into two cases.
% 43.58/13.78  																																																					|-Branch one:
% 43.58/13.78  																																																					| (801) all_0_91_91 = e1
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																						| Equations (801) can reduce 959 to:
% 43.58/13.78  																																																						| (311) $false
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						|-The branch is then unsatisfiable
% 43.58/13.78  																																																					|-Branch two:
% 43.58/13.78  																																																					| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.78  																																																					| (960) all_0_96_96 = e1
% 43.58/13.78  																																																					|
% 43.58/13.78  																																																						| Combining equations (960,1837) yields a new equation:
% 43.58/13.78  																																																						| (1107) e1 = e0
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						| Simplifying 1107 yields:
% 43.58/13.78  																																																						| (865) e1 = e0
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						| Equations (865) can reduce 264 to:
% 43.58/13.78  																																																						| (311) $false
% 43.58/13.78  																																																						|
% 43.58/13.78  																																																						|-The branch is then unsatisfiable
% 43.58/13.78  																																																|-Branch two:
% 43.58/13.78  																																																| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.78  																																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.78  																																																|
% 43.58/13.78  																																																	+-Applying beta-rule and splitting (757), into two cases.
% 43.58/13.78  																																																	|-Branch one:
% 43.58/13.78  																																																	| (758) all_0_90_90 = e0
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		| Equations (758) can reduce 762 to:
% 43.58/13.78  																																																		| (311) $false
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		|-The branch is then unsatisfiable
% 43.58/13.78  																																																	|-Branch two:
% 43.58/13.78  																																																	| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.78  																																																	| (583) all_0_90_90 = e4
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		| Equations (583) can reduce 467 to:
% 43.58/13.78  																																																		| (311) $false
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		|-The branch is then unsatisfiable
% 43.58/13.78  																																															|-Branch two:
% 43.58/13.78  																																															| (2095)  ~ (all_0_96_96 = e0)
% 43.58/13.78  																																															| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.58/13.78  																																															|
% 43.58/13.78  																																																+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.78  																																																|-Branch one:
% 43.58/13.78  																																																| (1456) all_0_91_91 = e0
% 43.58/13.78  																																																|
% 43.58/13.78  																																																	| Equations (1456) can reduce 296 to:
% 43.58/13.78  																																																	| (510)  ~ (e2 = e0)
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																	| Simplifying 510 yields:
% 43.58/13.78  																																																	| (76)  ~ (e2 = e0)
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																	+-Applying beta-rule and splitting (2096), into two cases.
% 43.58/13.78  																																																	|-Branch one:
% 43.58/13.78  																																																	| (560) all_0_97_97 = e0
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		| Equations (560) can reduce 609 to:
% 43.58/13.78  																																																		| (311) $false
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		|-The branch is then unsatisfiable
% 43.58/13.78  																																																	|-Branch two:
% 43.58/13.78  																																																	| (609)  ~ (all_0_97_97 = e0)
% 43.58/13.78  																																																	| (1121) all_0_98_98 = e0
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																		| Combining equations (1121,525) yields a new equation:
% 43.58/13.78  																																																		| (379) e2 = e0
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		| Equations (379) can reduce 76 to:
% 43.58/13.78  																																																		| (311) $false
% 43.58/13.78  																																																		|
% 43.58/13.78  																																																		|-The branch is then unsatisfiable
% 43.58/13.78  																																																|-Branch two:
% 43.58/13.78  																																																| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.78  																																																| (1837) all_0_96_96 = e0
% 43.58/13.78  																																																|
% 43.58/13.78  																																																	| Equations (1837) can reduce 2095 to:
% 43.58/13.78  																																																	| (311) $false
% 43.58/13.78  																																																	|
% 43.58/13.78  																																																	|-The branch is then unsatisfiable
% 43.58/13.78  																																										|-Branch two:
% 43.58/13.78  																																										| (426)  ~ (all_0_92_92 = e3)
% 43.58/13.78  																																										| (556) all_0_97_97 = e3
% 43.58/13.78  																																										|
% 43.58/13.78  																																											| Equations (556) can reduce 428 to:
% 43.58/13.78  																																											| (311) $false
% 43.58/13.78  																																											|
% 43.58/13.78  																																											|-The branch is then unsatisfiable
% 43.58/13.78  																																			|-Branch two:
% 43.58/13.78  																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.58/13.78  																																			|
% 43.58/13.78  																																				| Applying alpha-rule on (1385) yields:
% 43.58/13.78  																																				| (1386) all_0_73_73 = e2
% 43.58/13.78  																																				| (1387)  ~ (all_0_74_74 = e0)
% 43.58/13.78  																																				|
% 43.58/13.78  																																				| Equations (1965) can reduce 1387 to:
% 43.58/13.78  																																				| (311) $false
% 43.58/13.78  																																				|
% 43.58/13.78  																																				|-The branch is then unsatisfiable
% 43.58/13.78  																																		|-Branch two:
% 43.58/13.78  																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.58/13.78  																																		|
% 43.58/13.78  																																			| Applying alpha-rule on (1391) yields:
% 43.58/13.78  																																			| (1392) all_0_75_75 = e1
% 43.58/13.78  																																			| (1393)  ~ (all_0_76_76 = e0)
% 43.58/13.78  																																			|
% 43.58/13.78  																																			| Combining equations (1966,1392) yields a new equation:
% 43.58/13.78  																																			| (813) e4 = e1
% 43.58/13.78  																																			|
% 43.58/13.78  																																			| Simplifying 813 yields:
% 43.58/13.78  																																			| (814) e4 = e1
% 43.58/13.78  																																			|
% 43.58/13.78  																																			| Equations (814) can reduce 256 to:
% 43.58/13.78  																																			| (311) $false
% 43.58/13.78  																																			|
% 43.58/13.78  																																			|-The branch is then unsatisfiable
% 43.58/13.78  																													|-Branch two:
% 43.58/13.78  																													| (919)  ~ (all_0_84_84 = e0)
% 43.58/13.78  																													| (954) all_0_85_85 = e0
% 43.58/13.78  																													|
% 43.58/13.78  																														| Combining equations (954,804) yields a new equation:
% 43.58/13.78  																														| (600) e3 = e0
% 43.58/13.78  																														|
% 43.58/13.78  																														| Equations (600) can reduce 50 to:
% 43.58/13.78  																														| (311) $false
% 43.58/13.78  																														|
% 43.58/13.78  																														|-The branch is then unsatisfiable
% 43.58/13.78  																												|-Branch two:
% 43.58/13.78  																												| (952)  ~ (all_0_85_85 = e3)
% 43.58/13.78  																												| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 43.58/13.78  																												|
% 43.58/13.78  																													+-Applying beta-rule and splitting (171), into two cases.
% 43.58/13.78  																													|-Branch one:
% 43.58/13.78  																													| (789) all_0_82_82 = e3
% 43.58/13.78  																													|
% 43.58/13.78  																														| Combining equations (789,469) yields a new equation:
% 43.58/13.78  																														| (434) e4 = e3
% 43.58/13.78  																														|
% 43.58/13.78  																														| Equations (434) can reduce 177 to:
% 43.58/13.78  																														| (311) $false
% 43.58/13.78  																														|
% 43.58/13.78  																														|-The branch is then unsatisfiable
% 43.58/13.78  																													|-Branch two:
% 43.58/13.78  																													| (793)  ~ (all_0_82_82 = e3)
% 43.58/13.78  																													| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.58/13.78  																													|
% 43.58/13.78  																														+-Applying beta-rule and splitting (250), into two cases.
% 43.58/13.78  																														|-Branch one:
% 43.58/13.78  																														| (635) all_0_81_81 = e3
% 43.58/13.78  																														|
% 43.58/13.78  																															| Combining equations (477,635) yields a new equation:
% 43.58/13.78  																															| (772) e3 = e1
% 43.58/13.78  																															|
% 43.58/13.78  																															| Equations (772) can reduce 20 to:
% 43.58/13.78  																															| (311) $false
% 43.58/13.78  																															|
% 43.58/13.78  																															|-The branch is then unsatisfiable
% 43.58/13.78  																														|-Branch two:
% 43.58/13.78  																														| (420)  ~ (all_0_81_81 = e3)
% 43.58/13.78  																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.78  																														|
% 43.58/13.78  																															+-Applying beta-rule and splitting (4488), into two cases.
% 43.58/13.78  																															|-Branch one:
% 43.58/13.78  																															| (804) all_0_85_85 = e3
% 43.58/13.78  																															|
% 43.58/13.78  																																| Equations (804) can reduce 952 to:
% 43.58/13.78  																																| (311) $false
% 43.58/13.78  																																|
% 43.58/13.78  																																|-The branch is then unsatisfiable
% 43.58/13.78  																															|-Branch two:
% 43.58/13.78  																															| (952)  ~ (all_0_85_85 = e3)
% 43.58/13.78  																															| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.78  																															|
% 43.58/13.78  																																+-Applying beta-rule and splitting (1296), into two cases.
% 43.58/13.78  																																|-Branch one:
% 43.58/13.78  																																| (795) all_0_83_83 = e3
% 43.58/13.78  																																|
% 43.58/13.78  																																	| Combining equations (453,795) yields a new equation:
% 43.58/13.78  																																	| (548) e3 = e2
% 43.58/13.78  																																	|
% 43.58/13.78  																																	| Equations (548) can reduce 169 to:
% 43.58/13.78  																																	| (311) $false
% 43.58/13.78  																																	|
% 43.58/13.78  																																	|-The branch is then unsatisfiable
% 43.58/13.78  																																|-Branch two:
% 43.58/13.78  																																| (779)  ~ (all_0_83_83 = e3)
% 43.58/13.78  																																| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.58/13.78  																																|
% 43.58/13.78  																																	| Equations (453) can reduce 779 to:
% 43.58/13.78  																																	| (356)  ~ (e3 = e2)
% 43.58/13.78  																																	|
% 43.58/13.78  																																	| Simplifying 356 yields:
% 43.58/13.78  																																	| (169)  ~ (e3 = e2)
% 43.58/13.78  																																	|
% 43.58/13.78  																																	+-Applying beta-rule and splitting (4559), into two cases.
% 43.58/13.78  																																	|-Branch one:
% 43.58/13.78  																																	| (570) all_0_93_93 = e3
% 43.58/13.78  																																	|
% 43.58/13.78  																																		| Equations (570) can reduce 201 to:
% 43.58/13.78  																																		| (952)  ~ (all_0_85_85 = e3)
% 43.58/13.78  																																		|
% 43.58/13.78  																																		+-Applying beta-rule and splitting (1594), into two cases.
% 43.58/13.78  																																		|-Branch one:
% 43.58/13.78  																																		| (1265) all_0_84_84 = e3
% 43.58/13.78  																																		|
% 43.58/13.78  																																			| Equations (1265) can reduce 417 to:
% 43.58/13.78  																																			| (783)  ~ (e4 = e3)
% 43.58/13.78  																																			|
% 43.58/13.78  																																			| Simplifying 783 yields:
% 43.58/13.78  																																			| (177)  ~ (e4 = e3)
% 43.58/13.78  																																			|
% 43.58/13.78  																																			+-Applying beta-rule and splitting (1915), into two cases.
% 43.58/13.78  																																			|-Branch one:
% 43.58/13.78  																																			| (583) all_0_90_90 = e4
% 43.58/13.78  																																			|
% 43.58/13.78  																																				| Equations (583) can reduce 467 to:
% 43.58/13.78  																																				| (311) $false
% 43.58/13.78  																																				|
% 43.58/13.78  																																				|-The branch is then unsatisfiable
% 43.58/13.78  																																			|-Branch two:
% 43.58/13.78  																																			| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.78  																																			| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.78  																																			|
% 43.58/13.78  																																				+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.78  																																				|-Branch one:
% 43.58/13.78  																																				| (442) all_0_92_92 = e4
% 43.58/13.78  																																				|
% 43.58/13.78  																																					| Equations (442) can reduce 1619 to:
% 43.58/13.78  																																					| (311) $false
% 43.58/13.78  																																					|
% 43.58/13.78  																																					|-The branch is then unsatisfiable
% 43.58/13.78  																																				|-Branch two:
% 43.58/13.78  																																				| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.78  																																				| (607) all_0_93_93 = e4
% 43.58/13.78  																																				|
% 43.58/13.78  																																					| Combining equations (570,607) yields a new equation:
% 43.58/13.78  																																					| (434) e4 = e3
% 43.58/13.78  																																					|
% 43.58/13.78  																																					| Equations (434) can reduce 177 to:
% 43.58/13.78  																																					| (311) $false
% 43.58/13.78  																																					|
% 43.58/13.78  																																					|-The branch is then unsatisfiable
% 43.58/13.78  																																		|-Branch two:
% 43.58/13.78  																																		| (422)  ~ (all_0_84_84 = e3)
% 43.58/13.78  																																		| (804) all_0_85_85 = e3
% 43.58/13.78  																																		|
% 43.58/13.78  																																			| Equations (804) can reduce 952 to:
% 43.58/13.78  																																			| (311) $false
% 43.58/13.78  																																			|
% 43.58/13.78  																																			|-The branch is then unsatisfiable
% 43.58/13.78  																																	|-Branch two:
% 43.58/13.78  																																	| (602)  ~ (all_0_93_93 = e3)
% 43.58/13.78  																																	| (969) all_0_98_98 = e3
% 43.58/13.78  																																	|
% 43.58/13.78  																																		| Combining equations (525,969) yields a new equation:
% 43.58/13.78  																																		| (548) e3 = e2
% 43.58/13.78  																																		|
% 43.58/13.78  																																		| Equations (548) can reduce 169 to:
% 43.58/13.78  																																		| (311) $false
% 43.58/13.78  																																		|
% 43.58/13.78  																																		|-The branch is then unsatisfiable
% 43.58/13.78  																							|-Branch two:
% 43.58/13.78  																							| (465)  ~ (all_0_82_82 = e4)
% 43.58/13.78  																							| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.58/13.78  																							|
% 43.58/13.78  																								+-Applying beta-rule and splitting (472), into two cases.
% 43.58/13.78  																								|-Branch one:
% 43.58/13.78  																								| (438) all_0_84_84 = e4
% 43.58/13.78  																								|
% 43.58/13.78  																									| Equations (438) can reduce 417 to:
% 43.58/13.78  																									| (311) $false
% 43.58/13.78  																									|
% 43.58/13.78  																									|-The branch is then unsatisfiable
% 43.58/13.78  																								|-Branch two:
% 43.58/13.78  																								| (417)  ~ (all_0_84_84 = e4)
% 43.58/13.78  																								| (493) all_0_85_85 = e4
% 43.58/13.78  																								|
% 43.58/13.78  																									| Equations (493) can reduce 209 to:
% 43.58/13.78  																									| (465)  ~ (all_0_82_82 = e4)
% 43.58/13.78  																									|
% 43.58/13.78  																									| Equations (493) can reduce 515 to:
% 43.58/13.78  																									| (79)  ~ (e4 = e2)
% 43.58/13.78  																									|
% 43.58/13.78  																									| From (493) and (26) follows:
% 43.58/13.78  																									| (2742) op(e0, e4) = all_0_71_71
% 43.58/13.78  																									|
% 43.58/13.78  																									+-Applying beta-rule and splitting (250), into two cases.
% 43.58/13.78  																									|-Branch one:
% 43.58/13.78  																									| (635) all_0_81_81 = e3
% 43.58/13.78  																									|
% 43.58/13.78  																										| Combining equations (477,635) yields a new equation:
% 43.58/13.78  																										| (772) e3 = e1
% 43.58/13.78  																										|
% 43.58/13.78  																										| Equations (772) can reduce 20 to:
% 43.58/13.78  																										| (311) $false
% 43.58/13.78  																										|
% 43.58/13.78  																										|-The branch is then unsatisfiable
% 43.58/13.78  																									|-Branch two:
% 43.58/13.78  																									| (420)  ~ (all_0_81_81 = e3)
% 43.58/13.78  																									| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.78  																									|
% 43.58/13.78  																										+-Applying beta-rule and splitting (4488), into two cases.
% 43.58/13.78  																										|-Branch one:
% 43.58/13.78  																										| (804) all_0_85_85 = e3
% 43.58/13.78  																										|
% 43.58/13.78  																											| Combining equations (493,804) yields a new equation:
% 43.58/13.78  																											| (790) e4 = e3
% 43.58/13.78  																											|
% 43.58/13.78  																											| Simplifying 790 yields:
% 43.58/13.78  																											| (434) e4 = e3
% 43.58/13.78  																											|
% 43.58/13.78  																											| Equations (434) can reduce 177 to:
% 43.58/13.78  																											| (311) $false
% 43.58/13.78  																											|
% 43.58/13.78  																											|-The branch is then unsatisfiable
% 43.58/13.78  																										|-Branch two:
% 43.58/13.78  																										| (952)  ~ (all_0_85_85 = e3)
% 43.58/13.78  																										| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.78  																										|
% 43.58/13.78  																											+-Applying beta-rule and splitting (46), into two cases.
% 43.58/13.78  																											|-Branch one:
% 43.58/13.78  																											| (308) all_0_89_89 = e4
% 43.58/13.78  																											|
% 43.58/13.78  																												| Combining equations (308,292) yields a new equation:
% 43.58/13.78  																												| (309) e4 = e2
% 43.58/13.78  																												|
% 43.58/13.78  																												| Simplifying 309 yields:
% 43.58/13.78  																												| (310) e4 = e2
% 43.58/13.78  																												|
% 43.58/13.78  																												| Equations (310) can reduce 79 to:
% 43.58/13.78  																												| (311) $false
% 43.58/13.78  																												|
% 43.58/13.78  																												|-The branch is then unsatisfiable
% 43.58/13.78  																											|-Branch two:
% 43.58/13.78  																											| (312)  ~ (all_0_89_89 = e4)
% 43.58/13.78  																											| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.78  																											|
% 43.58/13.78  																												| Equations (292) can reduce 312 to:
% 43.58/13.78  																												| (528)  ~ (e4 = e2)
% 43.58/13.78  																												|
% 43.58/13.78  																												| Simplifying 528 yields:
% 43.58/13.78  																												| (79)  ~ (e4 = e2)
% 43.58/13.78  																												|
% 43.58/13.78  																												+-Applying beta-rule and splitting (65), into two cases.
% 43.58/13.78  																												|-Branch one:
% 43.58/13.78  																												| (522) all_0_93_93 = e2
% 43.58/13.78  																												|
% 43.58/13.78  																													| Equations (522) can reduce 300 to:
% 43.58/13.78  																													| (311) $false
% 43.58/13.78  																													|
% 43.58/13.78  																													|-The branch is then unsatisfiable
% 43.58/13.78  																												|-Branch two:
% 43.58/13.78  																												| (300)  ~ (all_0_93_93 = e2)
% 43.58/13.78  																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 43.58/13.78  																												|
% 43.58/13.78  																													+-Applying beta-rule and splitting (4), into two cases.
% 43.58/13.78  																													|-Branch one:
% 43.58/13.78  																													| (463) all_0_78_78 = e4
% 43.58/13.78  																													|
% 43.58/13.78  																														| Combining equations (400,463) yields a new equation:
% 43.58/13.78  																														| (310) e4 = e2
% 43.58/13.78  																														|
% 43.58/13.78  																														| Equations (310) can reduce 79 to:
% 43.58/13.78  																														| (311) $false
% 43.58/13.78  																														|
% 43.58/13.78  																														|-The branch is then unsatisfiable
% 43.58/13.78  																													|-Branch two:
% 43.58/13.78  																													| (640)  ~ (all_0_78_78 = e4)
% 43.58/13.78  																													| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 43.58/13.78  																													|
% 43.58/13.78  																														+-Applying beta-rule and splitting (565), into two cases.
% 43.58/13.78  																														|-Branch one:
% 43.58/13.78  																														| (566) all_0_93_93 = e1
% 43.58/13.78  																														|
% 43.58/13.78  																															| Equations (566) can reduce 481 to:
% 43.58/13.78  																															| (311) $false
% 43.58/13.78  																															|
% 43.58/13.78  																															|-The branch is then unsatisfiable
% 43.58/13.78  																														|-Branch two:
% 43.58/13.78  																														| (481)  ~ (all_0_93_93 = e1)
% 43.58/13.78  																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 43.58/13.78  																														|
% 43.58/13.78  																															+-Applying beta-rule and splitting (3625), into two cases.
% 43.58/13.78  																															|-Branch one:
% 43.58/13.78  																															| (469) all_0_82_82 = e4
% 43.58/13.78  																															|
% 43.58/13.78  																																| Equations (469) can reduce 465 to:
% 43.58/13.78  																																| (311) $false
% 43.58/13.78  																																|
% 43.58/13.78  																																|-The branch is then unsatisfiable
% 43.58/13.78  																															|-Branch two:
% 43.58/13.78  																															| (465)  ~ (all_0_82_82 = e4)
% 43.58/13.78  																															| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 43.58/13.78  																															|
% 43.58/13.79  																																+-Applying beta-rule and splitting (569), into two cases.
% 43.58/13.79  																																|-Branch one:
% 43.58/13.79  																																| (570) all_0_93_93 = e3
% 43.58/13.79  																																|
% 43.58/13.79  																																	| Equations (570) can reduce 34 to:
% 43.58/13.79  																																	| (745)  ~ (all_0_90_90 = e3)
% 43.58/13.79  																																	|
% 43.58/13.79  																																	| From (570) and (173) follows:
% 43.58/13.79  																																	| (4654) op(e0, e3) = all_0_75_75
% 43.58/13.79  																																	|
% 43.58/13.79  																																	+-Applying beta-rule and splitting (3629), into two cases.
% 43.58/13.79  																																	|-Branch one:
% 43.58/13.79  																																	| (583) all_0_90_90 = e4
% 43.58/13.79  																																	|
% 43.58/13.79  																																		| Equations (583) can reduce 745 to:
% 43.58/13.79  																																		| (177)  ~ (e4 = e3)
% 43.58/13.79  																																		|
% 43.58/13.79  																																		| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 43.58/13.79  																																		| (2758) all_0_71_71 = e4
% 43.58/13.79  																																		|
% 43.58/13.79  																																		| Instantiating formula (262) with e0, e3, all_0_75_75, all_0_95_95 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = all_0_95_95, yields:
% 43.58/13.79  																																		| (14672) all_0_75_75 = all_0_95_95
% 43.58/13.79  																																		|
% 43.58/13.79  																																		+-Applying beta-rule and splitting (89), into two cases.
% 43.58/13.79  																																		|-Branch one:
% 43.58/13.79  																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.58/13.79  																																		|
% 43.58/13.79  																																			+-Applying beta-rule and splitting (1373), into two cases.
% 43.58/13.79  																																			|-Branch one:
% 43.58/13.79  																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.58/13.79  																																			|
% 43.58/13.79  																																				+-Applying beta-rule and splitting (1374), into two cases.
% 43.58/13.79  																																				|-Branch one:
% 43.58/13.79  																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.58/13.79  																																				|
% 43.58/13.79  																																					| Applying alpha-rule on (1375) yields:
% 43.58/13.79  																																					| (1376) all_0_69_69 = e4
% 43.58/13.79  																																					| (1377)  ~ (all_0_70_70 = e0)
% 43.58/13.79  																																					|
% 43.58/13.79  																																					| Combining equations (1376,14241) yields a new equation:
% 43.58/13.79  																																					| (610) all_0_97_97 = e4
% 43.58/13.79  																																					|
% 43.58/13.79  																																					| Equations (610) can reduce 319 to:
% 43.58/13.79  																																					| (311) $false
% 43.58/13.79  																																					|
% 43.58/13.79  																																					|-The branch is then unsatisfiable
% 43.58/13.79  																																				|-Branch two:
% 43.58/13.79  																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.58/13.79  																																				|
% 43.58/13.79  																																					| Applying alpha-rule on (1379) yields:
% 43.58/13.79  																																					| (1380) all_0_71_71 = e3
% 43.58/13.79  																																					| (1381)  ~ (all_0_72_72 = e0)
% 43.58/13.79  																																					|
% 43.58/13.79  																																					| Combining equations (1380,2758) yields a new equation:
% 43.58/13.79  																																					| (434) e4 = e3
% 43.58/13.79  																																					|
% 43.58/13.79  																																					| Equations (434) can reduce 177 to:
% 43.58/13.79  																																					| (311) $false
% 43.58/13.79  																																					|
% 43.58/13.79  																																					|-The branch is then unsatisfiable
% 43.58/13.79  																																			|-Branch two:
% 43.58/13.79  																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.58/13.79  																																			|
% 43.58/13.79  																																				| Applying alpha-rule on (1385) yields:
% 43.58/13.79  																																				| (1386) all_0_73_73 = e2
% 43.58/13.79  																																				| (1387)  ~ (all_0_74_74 = e0)
% 43.58/13.79  																																				|
% 43.58/13.79  																																				| Equations (1965) can reduce 1387 to:
% 43.58/13.79  																																				| (311) $false
% 43.58/13.79  																																				|
% 43.58/13.79  																																				|-The branch is then unsatisfiable
% 43.58/13.79  																																		|-Branch two:
% 43.58/13.79  																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.58/13.79  																																		|
% 43.58/13.79  																																			| Applying alpha-rule on (1391) yields:
% 43.58/13.79  																																			| (1392) all_0_75_75 = e1
% 43.58/13.79  																																			| (1393)  ~ (all_0_76_76 = e0)
% 43.58/13.79  																																			|
% 43.58/13.79  																																			| Combining equations (14672,1392) yields a new equation:
% 43.58/13.79  																																			| (14692) all_0_95_95 = e1
% 43.58/13.79  																																			|
% 43.58/13.79  																																			| Simplifying 14692 yields:
% 43.58/13.79  																																			| (785) all_0_95_95 = e1
% 43.58/13.79  																																			|
% 43.58/13.79  																																			| Equations (785) can reduce 680 to:
% 43.58/13.79  																																			| (311) $false
% 43.58/13.79  																																			|
% 43.58/13.79  																																			|-The branch is then unsatisfiable
% 43.58/13.79  																																	|-Branch two:
% 43.58/13.79  																																	| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.79  																																	| (894) all_0_95_95 = e4
% 43.58/13.79  																																	|
% 43.58/13.79  																																		| Equations (894) can reduce 315 to:
% 43.58/13.79  																																		| (311) $false
% 43.58/13.79  																																		|
% 43.58/13.79  																																		|-The branch is then unsatisfiable
% 43.58/13.79  																																|-Branch two:
% 43.58/13.79  																																| (602)  ~ (all_0_93_93 = e3)
% 43.58/13.79  																																| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 43.58/13.79  																																|
% 43.58/13.79  																																	+-Applying beta-rule and splitting (4559), into two cases.
% 43.58/13.79  																																	|-Branch one:
% 43.58/13.79  																																	| (570) all_0_93_93 = e3
% 43.58/13.79  																																	|
% 43.58/13.79  																																		| Equations (570) can reduce 602 to:
% 43.58/13.79  																																		| (311) $false
% 43.58/13.79  																																		|
% 43.58/13.79  																																		|-The branch is then unsatisfiable
% 43.58/13.79  																																	|-Branch two:
% 43.58/13.79  																																	| (602)  ~ (all_0_93_93 = e3)
% 43.58/13.79  																																	| (969) all_0_98_98 = e3
% 43.58/13.79  																																	|
% 43.58/13.79  																																		| Combining equations (525,969) yields a new equation:
% 43.58/13.79  																																		| (548) e3 = e2
% 43.58/13.79  																																		|
% 43.58/13.79  																																		| Equations (548) can reduce 169 to:
% 43.58/13.79  																																		| (311) $false
% 43.58/13.79  																																		|
% 43.58/13.79  																																		|-The branch is then unsatisfiable
% 43.58/13.79  																					|-Branch two:
% 43.58/13.79  																					| (436)  ~ (all_0_80_80 = e4)
% 43.58/13.79  																					| (638) all_0_81_81 = e4
% 43.58/13.79  																					|
% 43.58/13.79  																						| Combining equations (477,638) yields a new equation:
% 43.58/13.79  																						| (814) e4 = e1
% 43.58/13.79  																						|
% 43.58/13.79  																						| Equations (814) can reduce 256 to:
% 43.58/13.79  																						| (311) $false
% 43.58/13.79  																						|
% 43.58/13.79  																						|-The branch is then unsatisfiable
% 43.58/13.79  																			|-Branch two:
% 43.58/13.79  																			| (628)  ~ (all_0_81_81 = e1)
% 43.58/13.79  																			| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 43.58/13.79  																			|
% 43.58/13.79  																				+-Applying beta-rule and splitting (817), into two cases.
% 43.58/13.79  																				|-Branch one:
% 43.58/13.79  																				| (504) all_0_88_88 = e1
% 43.58/13.79  																				|
% 43.58/13.79  																					| Combining equations (504,507) yields a new equation:
% 43.58/13.79  																					| (1107) e1 = e0
% 43.58/13.79  																					|
% 43.58/13.79  																					| Simplifying 1107 yields:
% 43.58/13.79  																					| (865) e1 = e0
% 43.58/13.79  																					|
% 43.58/13.79  																					| Equations (865) can reduce 264 to:
% 43.58/13.79  																					| (311) $false
% 43.58/13.79  																					|
% 43.58/13.79  																					|-The branch is then unsatisfiable
% 43.58/13.79  																				|-Branch two:
% 43.58/13.79  																				| (479)  ~ (all_0_88_88 = e1)
% 43.58/13.79  																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 43.58/13.79  																				|
% 43.58/13.79  																					+-Applying beta-rule and splitting (897), into two cases.
% 43.58/13.79  																					|-Branch one:
% 43.58/13.79  																					| (566) all_0_93_93 = e1
% 43.58/13.79  																					|
% 43.58/13.79  																						| Equations (566) can reduce 44 to:
% 43.58/13.79  																						| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.79  																						|
% 43.58/13.79  																						| Equations (566) can reduce 283 to:
% 43.58/13.79  																						| (840)  ~ (all_0_92_92 = e1)
% 43.58/13.79  																						|
% 43.58/13.79  																						| From (566) and (21) follows:
% 43.58/13.79  																						| (14721) op(e1, e1) = all_0_76_76
% 43.58/13.79  																						|
% 43.58/13.79  																						| From (566) and (231) follows:
% 43.58/13.79  																						| (5227) op(e1, e0) = e1
% 43.58/13.79  																						|
% 43.58/13.79  																						| From (566) and (173) follows:
% 43.58/13.79  																						| (14723) op(e0, e1) = all_0_75_75
% 43.58/13.79  																						|
% 43.58/13.79  																						| Instantiating formula (262) with e1, e1, all_0_76_76, all_0_92_92 and discharging atoms op(e1, e1) = all_0_76_76, op(e1, e1) = all_0_92_92, yields:
% 43.58/13.79  																						| (14724) all_0_76_76 = all_0_92_92
% 43.58/13.79  																						|
% 43.58/13.79  																						| Instantiating formula (262) with e0, e1, all_0_75_75, all_0_97_97 and discharging atoms op(e0, e1) = all_0_75_75, op(e0, e1) = all_0_97_97, yields:
% 43.58/13.79  																						| (14725) all_0_75_75 = all_0_97_97
% 43.58/13.79  																						|
% 43.58/13.79  																						| From (14724) and (14721) follows:
% 43.58/13.79  																						| (135) op(e1, e1) = all_0_92_92
% 43.58/13.79  																						|
% 43.58/13.79  																						| From (14725) and (14723) follows:
% 43.58/13.79  																						| (147) op(e0, e1) = all_0_97_97
% 43.58/13.79  																						|
% 43.58/13.79  																						+-Applying beta-rule and splitting (127), into two cases.
% 43.58/13.79  																						|-Branch one:
% 43.58/13.79  																						| (457) all_0_79_79 = e1
% 43.58/13.79  																						|
% 43.58/13.79  																							| Equations (457) can reduce 63 to:
% 43.58/13.79  																							| (1665)  ~ (all_0_80_80 = e1)
% 43.58/13.79  																							|
% 43.58/13.79  																							| Simplifying 1665 yields:
% 43.58/13.79  																							| (828)  ~ (all_0_80_80 = e1)
% 43.58/13.79  																							|
% 43.58/13.79  																							| Equations (457) can reduce 15 to:
% 43.58/13.79  																							| (1667)  ~ (all_0_81_81 = e1)
% 43.58/13.79  																							|
% 43.58/13.79  																							| Simplifying 1667 yields:
% 43.58/13.79  																							| (628)  ~ (all_0_81_81 = e1)
% 43.58/13.79  																							|
% 43.58/13.79  																							| Equations (457) can reduce 17 to:
% 43.58/13.79  																							| (1669)  ~ (all_0_91_91 = e1)
% 43.58/13.79  																							|
% 43.58/13.79  																							| Simplifying 1669 yields:
% 43.58/13.80  																							| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.80  																							|
% 43.58/13.80  																							| Equations (457) can reduce 1622 to:
% 43.58/13.80  																							| (487)  ~ (e2 = e1)
% 43.58/13.80  																							|
% 43.58/13.80  																							| Simplifying 487 yields:
% 43.58/13.80  																							| (243)  ~ (e2 = e1)
% 43.58/13.80  																							|
% 43.58/13.80  																							| Equations (457) can reduce 9 to:
% 43.58/13.80  																							| (264)  ~ (e1 = e0)
% 43.58/13.80  																							|
% 43.58/13.80  																							| From (457) and (184) follows:
% 43.58/13.80  																							| (1679) op(e2, e1) = all_0_52_52
% 43.58/13.80  																							|
% 43.58/13.80  																							+-Applying beta-rule and splitting (151), into two cases.
% 43.58/13.80  																							|-Branch one:
% 43.58/13.80  																							| (824) all_0_80_80 = e1
% 43.58/13.80  																							|
% 43.58/13.80  																								| Equations (824) can reduce 828 to:
% 43.58/13.80  																								| (311) $false
% 43.58/13.80  																								|
% 43.58/13.80  																								|-The branch is then unsatisfiable
% 43.58/13.80  																							|-Branch two:
% 43.58/13.80  																							| (828)  ~ (all_0_80_80 = e1)
% 43.58/13.80  																							| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.58/13.80  																							|
% 43.58/13.80  																								+-Applying beta-rule and splitting (829), into two cases.
% 43.58/13.80  																								|-Branch one:
% 43.58/13.80  																								| (482) all_0_87_87 = e1
% 43.58/13.80  																								|
% 43.58/13.80  																									| Combining equations (374,482) yields a new equation:
% 43.58/13.80  																									| (408) e2 = e1
% 43.58/13.80  																									|
% 43.58/13.80  																									| Simplifying 408 yields:
% 43.58/13.80  																									| (385) e2 = e1
% 43.58/13.80  																									|
% 43.58/13.80  																									| Equations (385) can reduce 243 to:
% 43.58/13.80  																									| (311) $false
% 43.58/13.80  																									|
% 43.58/13.80  																									|-The branch is then unsatisfiable
% 43.58/13.80  																								|-Branch two:
% 43.58/13.80  																								| (625)  ~ (all_0_87_87 = e1)
% 43.58/13.80  																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.58/13.80  																								|
% 43.58/13.80  																									+-Applying beta-rule and splitting (835), into two cases.
% 43.58/13.80  																									|-Branch one:
% 43.58/13.80  																									| (836) all_0_92_92 = e1
% 43.58/13.80  																									|
% 43.58/13.80  																										| Equations (836) can reduce 840 to:
% 43.58/13.80  																										| (311) $false
% 43.58/13.80  																										|
% 43.58/13.80  																										|-The branch is then unsatisfiable
% 43.58/13.80  																									|-Branch two:
% 43.58/13.80  																									| (840)  ~ (all_0_92_92 = e1)
% 43.58/13.80  																									| (542) all_0_97_97 = e1
% 43.58/13.80  																									|
% 43.58/13.80  																										| Equations (542) can reduce 202 to:
% 43.58/13.80  																										| (828)  ~ (all_0_80_80 = e1)
% 43.58/13.80  																										|
% 43.58/13.80  																										| Equations (542) can reduce 195 to:
% 43.58/13.80  																										| (259)  ~ (all_0_84_84 = e1)
% 43.58/13.80  																										|
% 43.58/13.80  																										| Equations (542) can reduce 105 to:
% 43.58/13.80  																										| (680)  ~ (all_0_95_95 = e1)
% 43.58/13.80  																										|
% 43.58/13.80  																										| Equations (542) can reduce 22 to:
% 43.58/13.80  																										| (1479)  ~ (all_0_96_96 = e1)
% 43.58/13.80  																										|
% 43.58/13.80  																										| From (542) and (252) follows:
% 43.58/13.80  																										| (3446) op(e1, e1) = all_0_67_67
% 43.58/13.80  																										|
% 43.58/13.80  																										| From (542) and (69) follows:
% 43.58/13.80  																										| (2474) op(e0, e1) = all_0_68_68
% 43.58/13.80  																										|
% 43.58/13.80  																										| From (542) and (147) follows:
% 43.58/13.80  																										| (2475) op(e0, e1) = e1
% 43.58/13.80  																										|
% 43.58/13.80  																										| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 43.58/13.80  																										| (10960) all_0_52_52 = e2
% 43.58/13.80  																										|
% 43.58/13.80  																										| Instantiating formula (262) with e1, e1, all_0_67_67, all_0_92_92 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = all_0_92_92, yields:
% 43.58/13.80  																										| (11786) all_0_67_67 = all_0_92_92
% 43.58/13.80  																										|
% 43.58/13.80  																										| Instantiating formula (262) with e0, e1, e1, all_0_68_68 and discharging atoms op(e0, e1) = all_0_68_68, op(e0, e1) = e1, yields:
% 43.58/13.80  																										| (1419) all_0_68_68 = e1
% 43.58/13.80  																										|
% 43.58/13.80  																										+-Applying beta-rule and splitting (33), into two cases.
% 43.58/13.80  																										|-Branch one:
% 43.58/13.80  																										| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.58/13.80  																										|
% 43.58/13.80  																											+-Applying beta-rule and splitting (1686), into two cases.
% 43.58/13.80  																											|-Branch one:
% 43.58/13.80  																											| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.58/13.80  																											|
% 43.58/13.80  																												+-Applying beta-rule and splitting (1687), into two cases.
% 43.58/13.80  																												|-Branch one:
% 43.58/13.80  																												| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.58/13.80  																												|
% 43.58/13.80  																													| Applying alpha-rule on (1688) yields:
% 43.58/13.80  																													| (1689) all_0_52_52 = e4
% 43.58/13.80  																													| (1690)  ~ (all_0_53_53 = e2)
% 43.58/13.80  																													|
% 43.58/13.80  																													| Combining equations (1689,10960) yields a new equation:
% 43.58/13.80  																													| (309) e4 = e2
% 43.58/13.80  																													|
% 43.58/13.80  																													| Simplifying 309 yields:
% 43.58/13.80  																													| (310) e4 = e2
% 43.58/13.80  																													|
% 43.58/13.80  																													| Equations (310) can reduce 79 to:
% 43.58/13.80  																													| (311) $false
% 43.58/13.80  																													|
% 43.58/13.80  																													|-The branch is then unsatisfiable
% 43.58/13.80  																												|-Branch two:
% 43.58/13.80  																												| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.58/13.80  																												|
% 43.58/13.80  																													| Applying alpha-rule on (1694) yields:
% 43.58/13.80  																													| (1695) all_0_54_54 = e3
% 43.58/13.80  																													| (1696)  ~ (all_0_55_55 = e2)
% 43.58/13.80  																													|
% 43.58/13.80  																													| Combining equations (1647,1695) yields a new equation:
% 43.58/13.80  																													| (790) e4 = e3
% 43.58/13.80  																													|
% 43.58/13.80  																													| Simplifying 790 yields:
% 43.58/13.80  																													| (434) e4 = e3
% 43.58/13.80  																													|
% 43.58/13.80  																													| Equations (434) can reduce 177 to:
% 43.58/13.80  																													| (311) $false
% 43.58/13.80  																													|
% 43.58/13.80  																													|-The branch is then unsatisfiable
% 43.58/13.80  																											|-Branch two:
% 43.58/13.80  																											| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.58/13.80  																											|
% 43.58/13.80  																												| Applying alpha-rule on (1700) yields:
% 43.58/13.80  																												| (1701) all_0_56_56 = e1
% 43.58/13.80  																												| (1702)  ~ (all_0_57_57 = e2)
% 43.58/13.80  																												|
% 43.58/13.80  																												| From (1701) and (222) follows:
% 43.58/13.80  																												| (1703) op(e2, all_0_91_91) = e1
% 43.58/13.80  																												|
% 43.58/13.80  																												+-Applying beta-rule and splitting (2), into two cases.
% 43.58/13.80  																												|-Branch one:
% 43.58/13.80  																												| (916) all_0_84_84 = e0
% 43.58/13.80  																												|
% 43.58/13.80  																													| Equations (916) can reduce 87 to:
% 43.58/13.80  																													| (2299)  ~ (all_0_92_92 = e0)
% 43.58/13.80  																													|
% 43.58/13.80  																													| Simplifying 2299 yields:
% 43.58/13.80  																													| (946)  ~ (all_0_92_92 = e0)
% 43.58/13.80  																													|
% 43.58/13.80  																													| From (916) and (122) follows:
% 43.58/13.80  																													| (1321) op(e1, e0) = all_0_62_62
% 43.58/13.80  																													|
% 43.58/13.80  																													| Instantiating formula (262) with e1, e0, all_0_62_62, e1 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e1, yields:
% 43.58/13.80  																													| (1413) all_0_62_62 = e1
% 43.58/13.80  																													|
% 43.58/13.80  																													+-Applying beta-rule and splitting (276), into two cases.
% 43.58/13.80  																													|-Branch one:
% 43.58/13.80  																													| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.58/13.80  																													|
% 43.58/13.80  																														+-Applying beta-rule and splitting (577), into two cases.
% 43.58/13.80  																														|-Branch one:
% 43.58/13.80  																														| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.58/13.80  																														|
% 43.58/13.80  																															+-Applying beta-rule and splitting (578), into two cases.
% 43.58/13.80  																															|-Branch one:
% 43.58/13.80  																															| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.58/13.80  																															|
% 43.58/13.80  																																| Applying alpha-rule on (579) yields:
% 43.58/13.80  																																| (580) all_0_60_60 = e4
% 43.58/13.80  																																| (581)  ~ (all_0_61_61 = e1)
% 43.58/13.80  																																|
% 43.58/13.80  																																| From (580) and (233) follows:
% 43.58/13.80  																																| (11792) op(e1, all_0_80_80) = e4
% 43.58/13.80  																																|
% 43.58/13.80  																																+-Applying beta-rule and splitting (109), into two cases.
% 43.58/13.80  																																|-Branch one:
% 43.58/13.80  																																| (469) all_0_82_82 = e4
% 43.58/13.80  																																|
% 43.58/13.80  																																	| Equations (469) can reduce 255 to:
% 43.58/13.80  																																	| (466)  ~ (all_0_90_90 = e4)
% 43.58/13.80  																																	|
% 43.58/13.80  																																	| Simplifying 466 yields:
% 43.58/13.80  																																	| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.80  																																	|
% 43.58/13.80  																																	| Equations (469) can reduce 347 to:
% 43.58/13.80  																																	| (79)  ~ (e4 = e2)
% 43.58/13.80  																																	|
% 43.58/13.80  																																	+-Applying beta-rule and splitting (46), into two cases.
% 43.58/13.80  																																	|-Branch one:
% 43.58/13.80  																																	| (308) all_0_89_89 = e4
% 43.58/13.80  																																	|
% 43.58/13.80  																																		| Combining equations (292,308) yields a new equation:
% 43.58/13.80  																																		| (310) e4 = e2
% 43.58/13.80  																																		|
% 43.58/13.80  																																		| Equations (310) can reduce 79 to:
% 43.58/13.80  																																		| (311) $false
% 43.58/13.80  																																		|
% 43.58/13.80  																																		|-The branch is then unsatisfiable
% 43.58/13.80  																																	|-Branch two:
% 43.58/13.80  																																	| (312)  ~ (all_0_89_89 = e4)
% 43.58/13.80  																																	| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.80  																																	|
% 43.58/13.80  																																		+-Applying beta-rule and splitting (168), into two cases.
% 43.58/13.80  																																		|-Branch one:
% 43.58/13.80  																																		| (638) all_0_81_81 = e4
% 43.58/13.80  																																		|
% 43.58/13.80  																																			| Equations (638) can reduce 144 to:
% 43.58/13.80  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Equations (638) can reduce 628 to:
% 43.58/13.80  																																			| (256)  ~ (e4 = e1)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Equations (638) can reduce 257 to:
% 43.58/13.80  																																			| (23)  ~ (e4 = e0)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			+-Applying beta-rule and splitting (45), into two cases.
% 43.58/13.80  																																			|-Branch one:
% 43.58/13.80  																																			| (546) all_0_80_80 = e2
% 43.58/13.80  																																			|
% 43.58/13.80  																																				| Equations (546) can reduce 394 to:
% 43.58/13.80  																																				| (311) $false
% 43.58/13.80  																																				|
% 43.58/13.80  																																				|-The branch is then unsatisfiable
% 43.58/13.80  																																			|-Branch two:
% 43.58/13.80  																																			| (394)  ~ (all_0_80_80 = e2)
% 43.58/13.80  																																			| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.58/13.80  																																			|
% 43.58/13.80  																																				+-Applying beta-rule and splitting (210), into two cases.
% 43.58/13.80  																																				|-Branch one:
% 43.58/13.80  																																				| (433) all_0_80_80 = e4
% 43.58/13.80  																																				|
% 43.58/13.80  																																					| Equations (433) can reduce 436 to:
% 43.58/13.80  																																					| (311) $false
% 43.58/13.80  																																					|
% 43.58/13.80  																																					|-The branch is then unsatisfiable
% 43.58/13.80  																																				|-Branch two:
% 43.58/13.80  																																				| (436)  ~ (all_0_80_80 = e4)
% 43.58/13.80  																																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.58/13.80  																																				|
% 43.58/13.80  																																					+-Applying beta-rule and splitting (3232), into two cases.
% 43.58/13.80  																																					|-Branch one:
% 43.58/13.80  																																					| (824) all_0_80_80 = e1
% 43.58/13.80  																																					|
% 43.58/13.80  																																						| Equations (824) can reduce 828 to:
% 43.58/13.80  																																						| (311) $false
% 43.58/13.80  																																						|
% 43.58/13.80  																																						|-The branch is then unsatisfiable
% 43.58/13.80  																																					|-Branch two:
% 43.58/13.80  																																					| (828)  ~ (all_0_80_80 = e1)
% 43.58/13.80  																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.58/13.80  																																					|
% 43.58/13.80  																																						+-Applying beta-rule and splitting (437), into two cases.
% 43.58/13.80  																																						|-Branch one:
% 43.58/13.80  																																						| (438) all_0_84_84 = e4
% 43.58/13.80  																																						|
% 43.58/13.80  																																							| Combining equations (916,438) yields a new equation:
% 43.58/13.80  																																							| (912) e4 = e0
% 43.58/13.80  																																							|
% 43.58/13.80  																																							| Equations (912) can reduce 23 to:
% 43.58/13.80  																																							| (311) $false
% 43.58/13.80  																																							|
% 43.58/13.80  																																							|-The branch is then unsatisfiable
% 43.58/13.80  																																						|-Branch two:
% 43.58/13.80  																																						| (417)  ~ (all_0_84_84 = e4)
% 43.58/13.80  																																						| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.58/13.80  																																						|
% 43.58/13.80  																																							+-Applying beta-rule and splitting (4018), into two cases.
% 43.58/13.80  																																							|-Branch one:
% 43.58/13.80  																																							| (416) all_0_80_80 = e3
% 43.58/13.80  																																							|
% 43.58/13.80  																																								| From (416) and (11792) follows:
% 43.58/13.80  																																								| (4391) op(e1, e3) = e4
% 43.58/13.80  																																								|
% 43.58/13.80  																																								+-Applying beta-rule and splitting (441), into two cases.
% 43.58/13.80  																																								|-Branch one:
% 43.58/13.80  																																								| (442) all_0_92_92 = e4
% 43.58/13.80  																																								|
% 43.58/13.80  																																									| Equations (442) can reduce 72 to:
% 43.58/13.80  																																									| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.80  																																									|
% 43.58/13.80  																																									| Instantiating formula (262) with e1, e3, e4, all_0_90_90 and discharging atoms op(e1, e3) = all_0_90_90, op(e1, e3) = e4, yields:
% 43.58/13.80  																																									| (583) all_0_90_90 = e4
% 43.58/13.80  																																									|
% 43.58/13.80  																																									| Equations (583) can reduce 467 to:
% 43.58/13.80  																																									| (311) $false
% 43.58/13.80  																																									|
% 43.58/13.80  																																									|-The branch is then unsatisfiable
% 43.58/13.80  																																								|-Branch two:
% 43.58/13.80  																																								| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																								| (610) all_0_97_97 = e4
% 43.58/13.80  																																								|
% 43.58/13.80  																																									| Combining equations (542,610) yields a new equation:
% 43.58/13.80  																																									| (814) e4 = e1
% 43.58/13.80  																																									|
% 43.58/13.80  																																									| Equations (814) can reduce 256 to:
% 43.58/13.80  																																									| (311) $false
% 43.58/13.80  																																									|
% 43.58/13.80  																																									|-The branch is then unsatisfiable
% 43.58/13.80  																																							|-Branch two:
% 43.58/13.80  																																							| (2347)  ~ (all_0_80_80 = e3)
% 43.58/13.80  																																							| (433) all_0_80_80 = e4
% 43.58/13.80  																																							|
% 43.58/13.80  																																								| Equations (433) can reduce 436 to:
% 43.58/13.80  																																								| (311) $false
% 43.58/13.80  																																								|
% 43.58/13.80  																																								|-The branch is then unsatisfiable
% 43.58/13.80  																																		|-Branch two:
% 43.58/13.80  																																		| (634)  ~ (all_0_81_81 = e4)
% 43.58/13.80  																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.58/13.80  																																		|
% 43.58/13.80  																																			+-Applying beta-rule and splitting (1915), into two cases.
% 43.58/13.80  																																			|-Branch one:
% 43.58/13.80  																																			| (583) all_0_90_90 = e4
% 43.58/13.80  																																			|
% 43.58/13.80  																																				| Equations (583) can reduce 467 to:
% 43.58/13.80  																																				| (311) $false
% 43.58/13.80  																																				|
% 43.58/13.80  																																				|-The branch is then unsatisfiable
% 43.58/13.80  																																			|-Branch two:
% 43.58/13.80  																																			| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.80  																																			| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.80  																																			|
% 43.58/13.80  																																				+-Applying beta-rule and splitting (641), into two cases.
% 43.58/13.80  																																				|-Branch one:
% 43.58/13.80  																																				| (433) all_0_80_80 = e4
% 43.58/13.80  																																				|
% 43.58/13.80  																																					| Equations (433) can reduce 49 to:
% 43.58/13.80  																																					| (1906)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																					|
% 43.58/13.80  																																					| Simplifying 1906 yields:
% 43.58/13.80  																																					| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																					|
% 43.58/13.80  																																					| Equations (433) can reduce 828 to:
% 43.58/13.80  																																					| (256)  ~ (e4 = e1)
% 43.58/13.80  																																					|
% 43.58/13.80  																																					+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.80  																																					|-Branch one:
% 43.58/13.80  																																					| (442) all_0_92_92 = e4
% 43.58/13.80  																																					|
% 43.58/13.80  																																						| Equations (442) can reduce 1619 to:
% 43.58/13.80  																																						| (311) $false
% 43.58/13.80  																																						|
% 43.58/13.80  																																						|-The branch is then unsatisfiable
% 43.58/13.80  																																					|-Branch two:
% 43.58/13.80  																																					| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																					| (607) all_0_93_93 = e4
% 43.58/13.80  																																					|
% 43.58/13.80  																																						| Combining equations (607,566) yields a new equation:
% 43.58/13.80  																																						| (813) e4 = e1
% 43.58/13.80  																																						|
% 43.58/13.80  																																						| Simplifying 813 yields:
% 43.58/13.80  																																						| (814) e4 = e1
% 43.58/13.80  																																						|
% 43.58/13.80  																																						| Equations (814) can reduce 256 to:
% 43.58/13.80  																																						| (311) $false
% 43.58/13.80  																																						|
% 43.58/13.80  																																						|-The branch is then unsatisfiable
% 43.58/13.80  																																				|-Branch two:
% 43.58/13.80  																																				| (436)  ~ (all_0_80_80 = e4)
% 43.58/13.80  																																				| (638) all_0_81_81 = e4
% 43.58/13.80  																																				|
% 43.58/13.80  																																					| Equations (638) can reduce 634 to:
% 43.58/13.80  																																					| (311) $false
% 43.58/13.80  																																					|
% 43.58/13.80  																																					|-The branch is then unsatisfiable
% 43.58/13.80  																																|-Branch two:
% 43.58/13.80  																																| (465)  ~ (all_0_82_82 = e4)
% 43.58/13.80  																																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.58/13.80  																																|
% 43.58/13.80  																																	+-Applying beta-rule and splitting (472), into two cases.
% 43.58/13.80  																																	|-Branch one:
% 43.58/13.80  																																	| (438) all_0_84_84 = e4
% 43.58/13.80  																																	|
% 43.58/13.80  																																		| Combining equations (916,438) yields a new equation:
% 43.58/13.80  																																		| (912) e4 = e0
% 43.58/13.80  																																		|
% 43.58/13.80  																																		| Equations (912) can reduce 23 to:
% 43.58/13.80  																																		| (311) $false
% 43.58/13.80  																																		|
% 43.58/13.80  																																		|-The branch is then unsatisfiable
% 43.58/13.80  																																	|-Branch two:
% 43.58/13.80  																																	| (417)  ~ (all_0_84_84 = e4)
% 43.58/13.80  																																	| (493) all_0_85_85 = e4
% 43.58/13.80  																																	|
% 43.58/13.80  																																		| Equations (493) can reduce 118 to:
% 43.58/13.80  																																		| (634)  ~ (all_0_81_81 = e4)
% 43.58/13.80  																																		|
% 43.58/13.80  																																		+-Applying beta-rule and splitting (641), into two cases.
% 43.58/13.80  																																		|-Branch one:
% 43.58/13.80  																																		| (433) all_0_80_80 = e4
% 43.58/13.80  																																		|
% 43.58/13.80  																																			| Equations (433) can reduce 144 to:
% 43.58/13.80  																																			| (1730)  ~ (all_0_81_81 = e4)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Simplifying 1730 yields:
% 43.58/13.80  																																			| (634)  ~ (all_0_81_81 = e4)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Equations (433) can reduce 49 to:
% 43.58/13.80  																																			| (1906)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Simplifying 1906 yields:
% 43.58/13.80  																																			| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Equations (433) can reduce 394 to:
% 43.58/13.80  																																			| (79)  ~ (e4 = e2)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			| Equations (433) can reduce 828 to:
% 43.58/13.80  																																			| (256)  ~ (e4 = e1)
% 43.58/13.80  																																			|
% 43.58/13.80  																																			+-Applying beta-rule and splitting (207), into two cases.
% 43.58/13.80  																																			|-Branch one:
% 43.58/13.80  																																			| (416) all_0_80_80 = e3
% 43.58/13.80  																																			|
% 43.58/13.80  																																				| Combining equations (433,416) yields a new equation:
% 43.58/13.80  																																				| (790) e4 = e3
% 43.58/13.80  																																				|
% 43.58/13.80  																																				| Simplifying 790 yields:
% 43.58/13.80  																																				| (434) e4 = e3
% 43.58/13.80  																																				|
% 43.58/13.80  																																				| Equations (434) can reduce 177 to:
% 43.58/13.80  																																				| (311) $false
% 43.58/13.80  																																				|
% 43.58/13.80  																																				|-The branch is then unsatisfiable
% 43.58/13.81  																																			|-Branch two:
% 43.58/13.81  																																			| (2347)  ~ (all_0_80_80 = e3)
% 43.58/13.81  																																			| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.58/13.81  																																			|
% 43.58/13.81  																																				| Equations (433) can reduce 2347 to:
% 43.58/13.81  																																				| (177)  ~ (e4 = e3)
% 43.58/13.81  																																				|
% 43.58/13.81  																																				+-Applying beta-rule and splitting (46), into two cases.
% 43.58/13.81  																																				|-Branch one:
% 43.58/13.81  																																				| (308) all_0_89_89 = e4
% 43.58/13.81  																																				|
% 43.58/13.81  																																					| Combining equations (292,308) yields a new equation:
% 43.58/13.81  																																					| (310) e4 = e2
% 43.58/13.81  																																					|
% 43.58/13.81  																																					| Equations (310) can reduce 79 to:
% 43.58/13.81  																																					| (311) $false
% 43.58/13.81  																																					|
% 43.58/13.81  																																					|-The branch is then unsatisfiable
% 43.58/13.81  																																				|-Branch two:
% 43.58/13.81  																																				| (312)  ~ (all_0_89_89 = e4)
% 43.58/13.81  																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.81  																																				|
% 43.58/13.81  																																					+-Applying beta-rule and splitting (1915), into two cases.
% 43.58/13.81  																																					|-Branch one:
% 43.58/13.81  																																					| (583) all_0_90_90 = e4
% 43.58/13.81  																																					|
% 43.58/13.81  																																						| Equations (583) can reduce 229 to:
% 43.58/13.81  																																						| (314)  ~ (all_0_95_95 = e4)
% 43.58/13.81  																																						|
% 43.58/13.81  																																						| Simplifying 314 yields:
% 43.58/13.81  																																						| (315)  ~ (all_0_95_95 = e4)
% 43.58/13.81  																																						|
% 43.58/13.81  																																						+-Applying beta-rule and splitting (250), into two cases.
% 43.58/13.81  																																						|-Branch one:
% 43.58/13.81  																																						| (635) all_0_81_81 = e3
% 43.58/13.81  																																						|
% 43.58/13.81  																																							| Equations (635) can reduce 634 to:
% 43.58/13.81  																																							| (783)  ~ (e4 = e3)
% 43.58/13.81  																																							|
% 43.58/13.81  																																							| Simplifying 783 yields:
% 43.58/13.81  																																							| (177)  ~ (e4 = e3)
% 43.58/13.81  																																							|
% 43.58/13.81  																																							| Equations (635) can reduce 396 to:
% 43.58/13.81  																																							| (169)  ~ (e3 = e2)
% 43.58/13.81  																																							|
% 43.58/13.81  																																							| Equations (635) can reduce 257 to:
% 43.58/13.81  																																							| (50)  ~ (e3 = e0)
% 43.58/13.81  																																							|
% 43.58/13.81  																																							+-Applying beta-rule and splitting (171), into two cases.
% 43.58/13.81  																																							|-Branch one:
% 43.58/13.81  																																							| (789) all_0_82_82 = e3
% 43.58/13.81  																																							|
% 43.58/13.81  																																								| Equations (789) can reduce 200 to:
% 43.58/13.81  																																								| (1070)  ~ (all_0_95_95 = e3)
% 43.58/13.81  																																								|
% 43.58/13.81  																																								| Simplifying 1070 yields:
% 43.58/13.81  																																								| (765)  ~ (all_0_95_95 = e3)
% 43.58/13.81  																																								|
% 43.58/13.81  																																								+-Applying beta-rule and splitting (270), into two cases.
% 43.58/13.81  																																								|-Branch one:
% 43.58/13.81  																																								| (744) all_0_95_95 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									| Equations (744) can reduce 765 to:
% 43.58/13.81  																																									| (311) $false
% 43.58/13.81  																																									|
% 43.58/13.81  																																									|-The branch is then unsatisfiable
% 43.58/13.81  																																								|-Branch two:
% 43.58/13.81  																																								| (765)  ~ (all_0_95_95 = e3)
% 43.58/13.81  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									+-Applying beta-rule and splitting (99), into two cases.
% 43.58/13.81  																																									|-Branch one:
% 43.58/13.81  																																									| (767) all_0_95_95 = e2
% 43.58/13.81  																																									|
% 43.58/13.81  																																										| Equations (767) can reduce 355 to:
% 43.58/13.81  																																										| (311) $false
% 43.58/13.81  																																										|
% 43.58/13.81  																																										|-The branch is then unsatisfiable
% 43.58/13.81  																																									|-Branch two:
% 43.58/13.81  																																									| (355)  ~ (all_0_95_95 = e2)
% 43.58/13.81  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.58/13.81  																																									|
% 43.58/13.81  																																										+-Applying beta-rule and splitting (770), into two cases.
% 43.58/13.81  																																										|-Branch one:
% 43.58/13.81  																																										| (785) all_0_95_95 = e1
% 43.58/13.81  																																										|
% 43.58/13.81  																																											| Equations (785) can reduce 680 to:
% 43.58/13.81  																																											| (311) $false
% 43.58/13.81  																																											|
% 43.58/13.81  																																											|-The branch is then unsatisfiable
% 43.58/13.81  																																										|-Branch two:
% 43.58/13.81  																																										| (680)  ~ (all_0_95_95 = e1)
% 43.58/13.81  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.58/13.81  																																										|
% 43.58/13.81  																																											+-Applying beta-rule and splitting (853), into two cases.
% 43.58/13.81  																																											|-Branch one:
% 43.58/13.81  																																											| (744) all_0_95_95 = e3
% 43.58/13.81  																																											|
% 43.58/13.81  																																												| Equations (744) can reduce 765 to:
% 43.58/13.81  																																												| (311) $false
% 43.58/13.81  																																												|
% 43.58/13.81  																																												|-The branch is then unsatisfiable
% 43.58/13.81  																																											|-Branch two:
% 43.58/13.81  																																											| (765)  ~ (all_0_95_95 = e3)
% 43.58/13.81  																																											| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.58/13.81  																																											|
% 43.58/13.81  																																												+-Applying beta-rule and splitting (857), into two cases.
% 43.58/13.81  																																												|-Branch one:
% 43.58/13.81  																																												| (858) all_0_95_95 = e0
% 43.58/13.81  																																												|
% 43.58/13.81  																																													| Equations (858) can reduce 279 to:
% 43.58/13.81  																																													| (2296)  ~ (all_0_96_96 = e0)
% 43.58/13.81  																																													|
% 43.58/13.81  																																													| Simplifying 2296 yields:
% 43.58/13.81  																																													| (2095)  ~ (all_0_96_96 = e0)
% 43.58/13.81  																																													|
% 43.58/13.81  																																													+-Applying beta-rule and splitting (1400), into two cases.
% 43.58/13.81  																																													|-Branch one:
% 43.58/13.81  																																													| (1456) all_0_91_91 = e0
% 43.58/13.81  																																													|
% 43.58/13.81  																																														| Equations (1456) can reduce 959 to:
% 43.58/13.81  																																														| (859)  ~ (e1 = e0)
% 43.58/13.81  																																														|
% 43.58/13.81  																																														| Simplifying 859 yields:
% 43.58/13.81  																																														| (264)  ~ (e1 = e0)
% 43.58/13.81  																																														|
% 43.58/13.81  																																														| From (1456) and (1703) follows:
% 43.58/13.81  																																														| (2305) op(e2, e0) = e1
% 43.58/13.81  																																														|
% 43.58/13.81  																																														| Instantiating formula (262) with e2, e0, e1, e0 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 43.58/13.81  																																														| (865) e1 = e0
% 43.58/13.81  																																														|
% 43.58/13.81  																																														| Equations (865) can reduce 264 to:
% 43.58/13.81  																																														| (311) $false
% 43.58/13.81  																																														|
% 43.58/13.81  																																														|-The branch is then unsatisfiable
% 43.58/13.81  																																													|-Branch two:
% 43.58/13.81  																																													| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.81  																																													| (1837) all_0_96_96 = e0
% 43.58/13.81  																																													|
% 43.58/13.81  																																														| Equations (1837) can reduce 2095 to:
% 43.58/13.81  																																														| (311) $false
% 43.58/13.81  																																														|
% 43.58/13.81  																																														|-The branch is then unsatisfiable
% 43.58/13.81  																																												|-Branch two:
% 43.58/13.81  																																												| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.81  																																												| (894) all_0_95_95 = e4
% 43.58/13.81  																																												|
% 43.58/13.81  																																													| Equations (894) can reduce 315 to:
% 43.58/13.81  																																													| (311) $false
% 43.58/13.81  																																													|
% 43.58/13.81  																																													|-The branch is then unsatisfiable
% 43.58/13.81  																																							|-Branch two:
% 43.58/13.81  																																							| (793)  ~ (all_0_82_82 = e3)
% 43.58/13.81  																																							| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.58/13.81  																																							|
% 43.58/13.81  																																								+-Applying beta-rule and splitting (220), into two cases.
% 43.58/13.81  																																								|-Branch one:
% 43.58/13.81  																																								| (771) all_0_78_78 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									| Combining equations (400,771) yields a new equation:
% 43.58/13.81  																																									| (548) e3 = e2
% 43.58/13.81  																																									|
% 43.58/13.81  																																									| Equations (548) can reduce 169 to:
% 43.58/13.81  																																									| (311) $false
% 43.58/13.81  																																									|
% 43.58/13.81  																																									|-The branch is then unsatisfiable
% 43.58/13.81  																																								|-Branch two:
% 43.58/13.81  																																								| (418)  ~ (all_0_78_78 = e3)
% 43.58/13.81  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									| Equations (400) can reduce 418 to:
% 43.58/13.81  																																									| (356)  ~ (e3 = e2)
% 43.58/13.81  																																									|
% 43.58/13.81  																																									| Simplifying 356 yields:
% 43.58/13.81  																																									| (169)  ~ (e3 = e2)
% 43.58/13.81  																																									|
% 43.58/13.81  																																									+-Applying beta-rule and splitting (1296), into two cases.
% 43.58/13.81  																																									|-Branch one:
% 43.58/13.81  																																									| (795) all_0_83_83 = e3
% 43.58/13.81  																																									|
% 43.58/13.81  																																										| Combining equations (453,795) yields a new equation:
% 43.58/13.81  																																										| (548) e3 = e2
% 43.58/13.81  																																										|
% 43.58/13.81  																																										| Equations (548) can reduce 169 to:
% 43.58/13.81  																																										| (311) $false
% 43.58/13.81  																																										|
% 43.58/13.81  																																										|-The branch is then unsatisfiable
% 43.58/13.81  																																									|-Branch two:
% 43.58/13.81  																																									| (779)  ~ (all_0_83_83 = e3)
% 43.58/13.81  																																									| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.58/13.81  																																									|
% 43.58/13.81  																																										+-Applying beta-rule and splitting (1594), into two cases.
% 43.58/13.81  																																										|-Branch one:
% 43.58/13.81  																																										| (1265) all_0_84_84 = e3
% 43.58/13.81  																																										|
% 43.58/13.81  																																											| Combining equations (916,1265) yields a new equation:
% 43.58/13.81  																																											| (600) e3 = e0
% 43.58/13.81  																																											|
% 43.58/13.81  																																											| Equations (600) can reduce 50 to:
% 43.58/13.81  																																											| (311) $false
% 43.58/13.81  																																											|
% 43.58/13.81  																																											|-The branch is then unsatisfiable
% 43.58/13.81  																																										|-Branch two:
% 43.58/13.81  																																										| (422)  ~ (all_0_84_84 = e3)
% 43.58/13.81  																																										| (804) all_0_85_85 = e3
% 43.58/13.81  																																										|
% 43.58/13.81  																																											| Combining equations (493,804) yields a new equation:
% 43.58/13.81  																																											| (790) e4 = e3
% 43.58/13.81  																																											|
% 43.58/13.81  																																											| Simplifying 790 yields:
% 43.58/13.81  																																											| (434) e4 = e3
% 43.58/13.81  																																											|
% 43.58/13.81  																																											| Equations (434) can reduce 177 to:
% 43.58/13.81  																																											| (311) $false
% 43.58/13.81  																																											|
% 43.58/13.81  																																											|-The branch is then unsatisfiable
% 43.58/13.81  																																						|-Branch two:
% 43.58/13.81  																																						| (420)  ~ (all_0_81_81 = e3)
% 43.58/13.81  																																						| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.81  																																						|
% 43.58/13.81  																																							+-Applying beta-rule and splitting (4488), into two cases.
% 43.58/13.81  																																							|-Branch one:
% 43.58/13.81  																																							| (804) all_0_85_85 = e3
% 43.58/13.81  																																							|
% 43.58/13.81  																																								| Combining equations (493,804) yields a new equation:
% 43.58/13.81  																																								| (790) e4 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																								| Simplifying 790 yields:
% 43.58/13.81  																																								| (434) e4 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																								| Equations (434) can reduce 177 to:
% 43.58/13.81  																																								| (311) $false
% 43.58/13.81  																																								|
% 43.58/13.81  																																								|-The branch is then unsatisfiable
% 43.58/13.81  																																							|-Branch two:
% 43.58/13.81  																																							| (952)  ~ (all_0_85_85 = e3)
% 43.58/13.81  																																							| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.58/13.81  																																							|
% 43.58/13.81  																																								+-Applying beta-rule and splitting (4559), into two cases.
% 43.58/13.81  																																								|-Branch one:
% 43.58/13.81  																																								| (570) all_0_93_93 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									| Combining equations (566,570) yields a new equation:
% 43.58/13.81  																																									| (772) e3 = e1
% 43.58/13.81  																																									|
% 43.58/13.81  																																									| Equations (772) can reduce 20 to:
% 43.58/13.81  																																									| (311) $false
% 43.58/13.81  																																									|
% 43.58/13.81  																																									|-The branch is then unsatisfiable
% 43.58/13.81  																																								|-Branch two:
% 43.58/13.81  																																								| (602)  ~ (all_0_93_93 = e3)
% 43.58/13.81  																																								| (969) all_0_98_98 = e3
% 43.58/13.81  																																								|
% 43.58/13.81  																																									| Combining equations (969,525) yields a new equation:
% 43.58/13.81  																																									| (547) e3 = e2
% 43.58/13.81  																																									|
% 43.58/13.81  																																									| Simplifying 547 yields:
% 43.58/13.81  																																									| (548) e3 = e2
% 43.58/13.81  																																									|
% 43.58/13.81  																																									| Equations (548) can reduce 169 to:
% 43.58/13.81  																																									| (311) $false
% 43.58/13.81  																																									|
% 43.58/13.81  																																									|-The branch is then unsatisfiable
% 43.58/13.81  																																					|-Branch two:
% 43.58/13.81  																																					| (467)  ~ (all_0_90_90 = e4)
% 43.58/13.81  																																					| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.58/13.81  																																					|
% 43.58/13.81  																																						+-Applying beta-rule and splitting (1928), into two cases.
% 43.58/13.81  																																						|-Branch one:
% 43.58/13.81  																																						| (442) all_0_92_92 = e4
% 43.58/13.81  																																						|
% 43.58/13.81  																																							| Equations (442) can reduce 1619 to:
% 43.58/13.81  																																							| (311) $false
% 43.58/13.81  																																							|
% 43.58/13.81  																																							|-The branch is then unsatisfiable
% 43.58/13.81  																																						|-Branch two:
% 43.58/13.81  																																						| (1619)  ~ (all_0_92_92 = e4)
% 43.58/13.81  																																						| (607) all_0_93_93 = e4
% 43.58/13.81  																																						|
% 43.58/13.81  																																							| Combining equations (607,566) yields a new equation:
% 43.58/13.81  																																							| (813) e4 = e1
% 43.58/13.81  																																							|
% 43.58/13.81  																																							| Simplifying 813 yields:
% 43.58/13.81  																																							| (814) e4 = e1
% 43.58/13.81  																																							|
% 43.58/13.81  																																							| Equations (814) can reduce 256 to:
% 43.58/13.81  																																							| (311) $false
% 43.58/13.81  																																							|
% 43.58/13.81  																																							|-The branch is then unsatisfiable
% 43.58/13.81  																																		|-Branch two:
% 43.58/13.81  																																		| (436)  ~ (all_0_80_80 = e4)
% 43.58/13.81  																																		| (638) all_0_81_81 = e4
% 43.58/13.81  																																		|
% 43.58/13.81  																																			| Equations (638) can reduce 634 to:
% 43.58/13.81  																																			| (311) $false
% 43.58/13.81  																																			|
% 43.58/13.81  																																			|-The branch is then unsatisfiable
% 43.58/13.81  																															|-Branch two:
% 43.58/13.81  																															| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.58/13.81  																															|
% 43.58/13.81  																																| Applying alpha-rule on (585) yields:
% 43.58/13.81  																																| (586) all_0_62_62 = e3
% 43.58/13.81  																																| (587)  ~ (all_0_63_63 = e1)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Combining equations (586,1413) yields a new equation:
% 43.58/13.81  																																| (825) e3 = e1
% 43.58/13.81  																																|
% 43.58/13.81  																																| Simplifying 825 yields:
% 43.58/13.81  																																| (772) e3 = e1
% 43.58/13.81  																																|
% 43.58/13.81  																																| Equations (772) can reduce 20 to:
% 43.58/13.81  																																| (311) $false
% 43.58/13.81  																																|
% 43.58/13.81  																																|-The branch is then unsatisfiable
% 43.58/13.81  																														|-Branch two:
% 43.58/13.81  																														| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.58/13.81  																														|
% 43.58/13.81  																															| Applying alpha-rule on (590) yields:
% 43.58/13.81  																															| (591) all_0_64_64 = e2
% 43.58/13.81  																															| (592)  ~ (all_0_65_65 = e1)
% 43.58/13.81  																															|
% 43.58/13.81  																															| Combining equations (9535,591) yields a new equation:
% 43.58/13.81  																															| (14351) all_0_91_91 = e2
% 43.58/13.81  																															|
% 43.58/13.81  																															| Simplifying 14351 yields:
% 43.58/13.81  																															| (1723) all_0_91_91 = e2
% 43.58/13.81  																															|
% 43.58/13.81  																															| Equations (1723) can reduce 296 to:
% 43.58/13.81  																															| (311) $false
% 43.58/13.81  																															|
% 43.58/13.81  																															|-The branch is then unsatisfiable
% 43.58/13.81  																													|-Branch two:
% 43.58/13.81  																													| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.58/13.81  																													|
% 43.58/13.81  																														| Applying alpha-rule on (596) yields:
% 43.58/13.81  																														| (597) all_0_67_67 = e0
% 43.58/13.81  																														| (598)  ~ (all_0_68_68 = e1)
% 43.58/13.81  																														|
% 43.58/13.81  																														| Combining equations (597,11786) yields a new equation:
% 43.58/13.81  																														| (942) all_0_92_92 = e0
% 43.58/13.81  																														|
% 43.58/13.81  																														| Equations (942) can reduce 946 to:
% 43.58/13.81  																														| (311) $false
% 43.58/13.81  																														|
% 43.58/13.81  																														|-The branch is then unsatisfiable
% 43.58/13.81  																												|-Branch two:
% 43.58/13.81  																												| (919)  ~ (all_0_84_84 = e0)
% 43.58/13.81  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.58/13.81  																												|
% 43.58/13.81  																													+-Applying beta-rule and splitting (249), into two cases.
% 43.58/13.81  																													|-Branch one:
% 43.58/13.81  																													| (910) all_0_82_82 = e0
% 43.58/13.81  																													|
% 43.58/13.81  																														| Equations (910) can reduce 255 to:
% 43.58/13.81  																														| (2710)  ~ (all_0_90_90 = e0)
% 43.58/13.81  																														|
% 43.58/13.81  																														| Simplifying 2710 yields:
% 43.58/13.81  																														| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.81  																														|
% 43.58/13.81  																														| Equations (910) can reduce 200 to:
% 43.58/13.81  																														| (2712)  ~ (all_0_95_95 = e0)
% 43.58/13.81  																														|
% 43.58/13.81  																														| Simplifying 2712 yields:
% 43.58/13.81  																														| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.81  																														|
% 43.58/13.81  																														| From (910) and (61) follows:
% 43.58/13.81  																														| (979) op(e3, e3) = e0
% 43.58/13.81  																														|
% 43.58/13.81  																														+-Applying beta-rule and splitting (102), into two cases.
% 43.58/13.81  																														|-Branch one:
% 43.58/13.81  																														| (858) all_0_95_95 = e0
% 43.58/13.81  																														|
% 43.58/13.81  																															| Equations (858) can reduce 893 to:
% 43.58/13.81  																															| (311) $false
% 43.58/13.81  																															|
% 43.58/13.81  																															|-The branch is then unsatisfiable
% 43.58/13.81  																														|-Branch two:
% 43.58/13.81  																														| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.81  																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.58/13.81  																														|
% 43.58/13.81  																															+-Applying beta-rule and splitting (1921), into two cases.
% 43.58/13.81  																															|-Branch one:
% 43.58/13.81  																															| (1837) all_0_96_96 = e0
% 43.58/13.81  																															|
% 43.58/13.81  																																| Equations (1837) can reduce 64 to:
% 43.58/13.81  																																| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Equations (1837) can reduce 279 to:
% 43.58/13.81  																																| (893)  ~ (all_0_95_95 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Equations (1837) can reduce 115 to:
% 43.58/13.81  																																| (904)  ~ (e4 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Simplifying 904 yields:
% 43.58/13.81  																																| (23)  ~ (e4 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Equations (1837) can reduce 1479 to:
% 43.58/13.81  																																| (859)  ~ (e1 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																| Simplifying 859 yields:
% 43.58/13.81  																																| (264)  ~ (e1 = e0)
% 43.58/13.81  																																|
% 43.58/13.81  																																+-Applying beta-rule and splitting (291), into two cases.
% 43.58/13.81  																																|-Branch one:
% 43.58/13.81  																																| (758) all_0_90_90 = e0
% 43.58/13.81  																																|
% 43.58/13.81  																																	| Equations (758) can reduce 762 to:
% 43.58/13.81  																																	| (311) $false
% 43.58/13.81  																																	|
% 43.58/13.81  																																	|-The branch is then unsatisfiable
% 43.58/13.81  																																|-Branch two:
% 43.58/13.81  																																| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.81  																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.81  																																|
% 43.58/13.81  																																	+-Applying beta-rule and splitting (1455), into two cases.
% 43.58/13.81  																																	|-Branch one:
% 43.58/13.81  																																	| (1456) all_0_91_91 = e0
% 43.58/13.81  																																	|
% 43.58/13.81  																																		| Equations (1456) can reduce 1487 to:
% 43.58/13.81  																																		| (311) $false
% 43.58/13.81  																																		|
% 43.58/13.81  																																		|-The branch is then unsatisfiable
% 43.58/13.81  																																	|-Branch two:
% 43.58/13.81  																																	| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.81  																																	| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 43.58/13.81  																																	|
% 43.58/13.82  																																		+-Applying beta-rule and splitting (1488), into two cases.
% 43.58/13.82  																																		|-Branch one:
% 43.58/13.82  																																		| (942) all_0_92_92 = e0
% 43.58/13.82  																																		|
% 43.58/13.82  																																			| Combining equations (942,14724) yields a new equation:
% 43.58/13.82  																																			| (8960) all_0_76_76 = e0
% 43.58/13.82  																																			|
% 43.58/13.82  																																			| Equations (942) can reduce 49 to:
% 43.58/13.82  																																			| (166)  ~ (all_0_80_80 = e0)
% 43.58/13.82  																																			|
% 43.58/13.82  																																			| Equations (942) can reduce 72 to:
% 43.58/13.82  																																			| (762)  ~ (all_0_90_90 = e0)
% 43.58/13.82  																																			|
% 43.58/13.82  																																			| Equations (942) can reduce 265 to:
% 43.58/13.82  																																			| (1487)  ~ (all_0_91_91 = e0)
% 43.58/13.82  																																			|
% 43.58/13.82  																																			+-Applying beta-rule and splitting (4), into two cases.
% 43.58/13.82  																																			|-Branch one:
% 43.58/13.82  																																			| (463) all_0_78_78 = e4
% 43.58/13.82  																																			|
% 43.58/13.82  																																				| Combining equations (400,463) yields a new equation:
% 43.58/13.82  																																				| (310) e4 = e2
% 43.58/13.82  																																				|
% 43.58/13.82  																																				| Equations (310) can reduce 79 to:
% 43.58/13.82  																																				| (311) $false
% 43.58/13.82  																																				|
% 43.58/13.82  																																				|-The branch is then unsatisfiable
% 43.58/13.82  																																			|-Branch two:
% 43.58/13.82  																																			| (640)  ~ (all_0_78_78 = e4)
% 43.58/13.82  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 43.58/13.82  																																			|
% 43.58/13.82  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 43.58/13.82  																																				|-Branch one:
% 43.58/13.82  																																				| (469) all_0_82_82 = e4
% 43.58/13.82  																																				|
% 43.58/13.82  																																					| Combining equations (910,469) yields a new equation:
% 43.58/13.82  																																					| (912) e4 = e0
% 43.58/13.82  																																					|
% 43.58/13.82  																																					| Equations (912) can reduce 23 to:
% 43.58/13.82  																																					| (311) $false
% 43.58/13.82  																																					|
% 43.58/13.82  																																					|-The branch is then unsatisfiable
% 43.58/13.82  																																				|-Branch two:
% 43.58/13.82  																																				| (465)  ~ (all_0_82_82 = e4)
% 43.58/13.82  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 43.58/13.82  																																				|
% 43.58/13.82  																																					+-Applying beta-rule and splitting (99), into two cases.
% 43.58/13.82  																																					|-Branch one:
% 43.58/13.82  																																					| (767) all_0_95_95 = e2
% 43.58/13.82  																																					|
% 43.58/13.82  																																						| Equations (767) can reduce 355 to:
% 43.58/13.82  																																						| (311) $false
% 43.58/13.82  																																						|
% 43.58/13.82  																																						|-The branch is then unsatisfiable
% 43.58/13.82  																																					|-Branch two:
% 43.58/13.82  																																					| (355)  ~ (all_0_95_95 = e2)
% 43.58/13.82  																																					| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.58/13.82  																																					|
% 43.58/13.82  																																						+-Applying beta-rule and splitting (770), into two cases.
% 43.58/13.82  																																						|-Branch one:
% 43.58/13.82  																																						| (785) all_0_95_95 = e1
% 43.58/13.82  																																						|
% 43.58/13.82  																																							| Equations (785) can reduce 680 to:
% 43.58/13.82  																																							| (311) $false
% 43.58/13.82  																																							|
% 43.58/13.82  																																							|-The branch is then unsatisfiable
% 43.58/13.82  																																						|-Branch two:
% 43.58/13.82  																																						| (680)  ~ (all_0_95_95 = e1)
% 43.58/13.82  																																						| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.58/13.82  																																						|
% 43.58/13.82  																																							+-Applying beta-rule and splitting (853), into two cases.
% 43.58/13.82  																																							|-Branch one:
% 43.58/13.82  																																							| (744) all_0_95_95 = e3
% 43.58/13.82  																																							|
% 43.58/13.82  																																								| Equations (744) can reduce 315 to:
% 43.58/13.82  																																								| (783)  ~ (e4 = e3)
% 43.58/13.82  																																								|
% 43.58/13.82  																																								| Simplifying 783 yields:
% 43.58/13.82  																																								| (177)  ~ (e4 = e3)
% 43.58/13.82  																																								|
% 43.58/13.82  																																								| From (744) and (121) follows:
% 43.58/13.82  																																								| (10297) op(e3, e3) = all_0_50_50
% 43.58/13.82  																																								|
% 43.58/13.82  																																								+-Applying beta-rule and splitting (3629), into two cases.
% 43.58/13.82  																																								|-Branch one:
% 43.58/13.82  																																								| (583) all_0_90_90 = e4
% 43.58/13.82  																																								|
% 43.58/13.82  																																									| Equations (583) can reduce 103 to:
% 43.58/13.82  																																									| (3634)  ~ (all_0_91_91 = e4)
% 43.58/13.82  																																									|
% 43.58/13.82  																																									| Simplifying 3634 yields:
% 43.58/13.82  																																									| (133)  ~ (all_0_91_91 = e4)
% 43.58/13.82  																																									|
% 43.58/13.82  																																									| Equations (583) can reduce 762 to:
% 43.58/13.82  																																									| (23)  ~ (e4 = e0)
% 43.58/13.82  																																									|
% 43.58/13.82  																																									| From (583) and (35) follows:
% 43.58/13.82  																																									| (10485) op(e1, e4) = all_0_49_49
% 43.58/13.82  																																									|
% 43.58/13.82  																																									| From (583) and (218) follows:
% 43.58/13.82  																																									| (4391) op(e1, e3) = e4
% 43.58/13.82  																																									|
% 43.58/13.82  																																									+-Applying beta-rule and splitting (284), into two cases.
% 43.58/13.82  																																									|-Branch one:
% 43.58/13.82  																																									| (1723) all_0_91_91 = e2
% 43.58/13.82  																																									|
% 43.58/13.82  																																										| Equations (1723) can reduce 296 to:
% 43.58/13.82  																																										| (311) $false
% 43.58/13.82  																																										|
% 43.58/13.82  																																										|-The branch is then unsatisfiable
% 43.58/13.82  																																									|-Branch two:
% 43.58/13.82  																																									| (296)  ~ (all_0_91_91 = e2)
% 43.58/13.82  																																									| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.58/13.82  																																									|
% 43.58/13.82  																																										+-Applying beta-rule and splitting (1726), into two cases.
% 43.58/13.82  																																										|-Branch one:
% 43.58/13.82  																																										| (801) all_0_91_91 = e1
% 43.58/13.82  																																										|
% 43.58/13.82  																																											| Equations (801) can reduce 959 to:
% 43.58/13.82  																																											| (311) $false
% 43.58/13.82  																																											|
% 43.58/13.82  																																											|-The branch is then unsatisfiable
% 43.58/13.82  																																										|-Branch two:
% 43.58/13.82  																																										| (959)  ~ (all_0_91_91 = e1)
% 43.58/13.82  																																										| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.58/13.82  																																										|
% 43.58/13.82  																																											+-Applying beta-rule and splitting (1880), into two cases.
% 43.58/13.82  																																											|-Branch one:
% 43.58/13.82  																																											| (588) all_0_91_91 = e3
% 43.58/13.82  																																											|
% 43.58/13.82  																																												| Combining equations (588,9535) yields a new equation:
% 43.58/13.82  																																												| (3524) all_0_64_64 = e3
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Equations (588) can reduce 133 to:
% 43.58/13.82  																																												| (783)  ~ (e4 = e3)
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Simplifying 783 yields:
% 43.58/13.82  																																												| (177)  ~ (e4 = e3)
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Equations (588) can reduce 296 to:
% 43.58/13.82  																																												| (169)  ~ (e3 = e2)
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Equations (588) can reduce 959 to:
% 43.58/13.82  																																												| (20)  ~ (e3 = e1)
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Equations (588) can reduce 1487 to:
% 43.58/13.82  																																												| (50)  ~ (e3 = e0)
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| From (588) and (51) follows:
% 43.58/13.82  																																												| (15066) op(e1, e3) = all_0_57_57
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Instantiating formula (262) with e3, e3, e0, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e0, yields:
% 43.58/13.82  																																												| (974) all_0_50_50 = e0
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 43.58/13.82  																																												| (10505) all_0_49_49 = e2
% 43.58/13.82  																																												|
% 43.58/13.82  																																												| Instantiating formula (262) with e1, e3, e4, all_0_57_57 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = e4, yields:
% 43.76/13.82  																																												| (15069) all_0_57_57 = e4
% 43.76/13.82  																																												|
% 43.76/13.82  																																												| From (974) and (10297) follows:
% 43.76/13.82  																																												| (979) op(e3, e3) = e0
% 43.76/13.82  																																												|
% 43.76/13.82  																																												| From (10505) and (10485) follows:
% 43.76/13.82  																																												| (307) op(e1, e4) = e2
% 43.76/13.82  																																												|
% 43.76/13.82  																																												| From (15069) and (15066) follows:
% 43.76/13.82  																																												| (4391) op(e1, e3) = e4
% 43.76/13.82  																																												|
% 43.76/13.82  																																												+-Applying beta-rule and splitting (109), into two cases.
% 43.76/13.82  																																												|-Branch one:
% 43.76/13.82  																																												| (469) all_0_82_82 = e4
% 43.76/13.82  																																												|
% 43.76/13.82  																																													| Combining equations (469,910) yields a new equation:
% 43.76/13.82  																																													| (911) e4 = e0
% 43.76/13.82  																																													|
% 43.76/13.82  																																													| Simplifying 911 yields:
% 43.76/13.82  																																													| (912) e4 = e0
% 43.76/13.82  																																													|
% 43.76/13.82  																																													| Equations (912) can reduce 23 to:
% 43.76/13.82  																																													| (311) $false
% 43.76/13.82  																																													|
% 43.76/13.82  																																													|-The branch is then unsatisfiable
% 43.76/13.82  																																												|-Branch two:
% 43.76/13.82  																																												| (465)  ~ (all_0_82_82 = e4)
% 43.76/13.82  																																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.76/13.82  																																												|
% 43.76/13.82  																																													+-Applying beta-rule and splitting (276), into two cases.
% 43.76/13.82  																																													|-Branch one:
% 43.76/13.82  																																													| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.76/13.82  																																													|
% 43.76/13.82  																																														+-Applying beta-rule and splitting (577), into two cases.
% 43.76/13.82  																																														|-Branch one:
% 43.76/13.82  																																														| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.76/13.82  																																														|
% 43.76/13.82  																																															+-Applying beta-rule and splitting (578), into two cases.
% 43.76/13.82  																																															|-Branch one:
% 43.76/13.82  																																															| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.76/13.82  																																															|
% 43.76/13.82  																																																| Applying alpha-rule on (579) yields:
% 43.76/13.82  																																																| (580) all_0_60_60 = e4
% 43.76/13.82  																																																| (581)  ~ (all_0_61_61 = e1)
% 43.76/13.82  																																																|
% 43.76/13.82  																																																| From (580) and (233) follows:
% 43.76/13.82  																																																| (11792) op(e1, all_0_80_80) = e4
% 43.76/13.82  																																																|
% 43.76/13.82  																																																+-Applying beta-rule and splitting (207), into two cases.
% 43.76/13.82  																																																|-Branch one:
% 43.76/13.82  																																																| (416) all_0_80_80 = e3
% 43.76/13.82  																																																|
% 43.76/13.82  																																																	| Equations (416) can reduce 144 to:
% 43.76/13.82  																																																	| (419)  ~ (all_0_81_81 = e3)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Simplifying 419 yields:
% 43.76/13.82  																																																	| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Equations (416) can reduce 273 to:
% 43.76/13.82  																																																	| (421)  ~ (all_0_84_84 = e3)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Simplifying 421 yields:
% 43.76/13.82  																																																	| (422)  ~ (all_0_84_84 = e3)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Equations (416) can reduce 394 to:
% 43.76/13.82  																																																	| (169)  ~ (e3 = e2)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Equations (416) can reduce 828 to:
% 43.76/13.82  																																																	| (20)  ~ (e3 = e1)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	| Equations (416) can reduce 166 to:
% 43.76/13.82  																																																	| (50)  ~ (e3 = e0)
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																	+-Applying beta-rule and splitting (210), into two cases.
% 43.76/13.82  																																																	|-Branch one:
% 43.76/13.82  																																																	| (433) all_0_80_80 = e4
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																		| Combining equations (416,433) yields a new equation:
% 43.76/13.82  																																																		| (434) e4 = e3
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																		| Equations (434) can reduce 177 to:
% 43.76/13.82  																																																		| (311) $false
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																		|-The branch is then unsatisfiable
% 43.76/13.82  																																																	|-Branch two:
% 43.76/13.82  																																																	| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.82  																																																	| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.82  																																																	|
% 43.76/13.82  																																																		| Equations (416) can reduce 436 to:
% 43.76/13.82  																																																		| (783)  ~ (e4 = e3)
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																		| Simplifying 783 yields:
% 43.76/13.82  																																																		| (177)  ~ (e4 = e3)
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.82  																																																		|-Branch one:
% 43.76/13.82  																																																		| (635) all_0_81_81 = e3
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																			| Equations (635) can reduce 420 to:
% 43.76/13.82  																																																			| (311) $false
% 43.76/13.82  																																																			|
% 43.76/13.82  																																																			|-The branch is then unsatisfiable
% 43.76/13.82  																																																		|-Branch two:
% 43.76/13.82  																																																		| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.82  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.82  																																																		|
% 43.76/13.82  																																																			+-Applying beta-rule and splitting (171), into two cases.
% 43.76/13.82  																																																			|-Branch one:
% 43.76/13.82  																																																			| (789) all_0_82_82 = e3
% 43.76/13.82  																																																			|
% 43.76/13.82  																																																				| Combining equations (910,789) yields a new equation:
% 43.76/13.82  																																																				| (600) e3 = e0
% 43.76/13.82  																																																				|
% 43.76/13.82  																																																				| Equations (600) can reduce 50 to:
% 43.76/13.82  																																																				| (311) $false
% 43.76/13.82  																																																				|
% 43.76/13.82  																																																				|-The branch is then unsatisfiable
% 43.76/13.82  																																																			|-Branch two:
% 43.76/13.82  																																																			| (793)  ~ (all_0_82_82 = e3)
% 43.76/13.82  																																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.82  																																																			|
% 43.76/13.82  																																																				+-Applying beta-rule and splitting (437), into two cases.
% 43.76/13.82  																																																				|-Branch one:
% 43.76/13.82  																																																				| (438) all_0_84_84 = e4
% 43.76/13.82  																																																				|
% 43.76/13.82  																																																					| Equations (438) can reduce 422 to:
% 43.76/13.82  																																																					| (177)  ~ (e4 = e3)
% 43.76/13.82  																																																					|
% 43.76/13.82  																																																					+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.82  																																																					|-Branch one:
% 43.76/13.82  																																																					| (433) all_0_80_80 = e4
% 43.76/13.82  																																																					|
% 43.76/13.82  																																																						| Combining equations (416,433) yields a new equation:
% 43.76/13.82  																																																						| (434) e4 = e3
% 43.76/13.82  																																																						|
% 43.76/13.82  																																																						| Equations (434) can reduce 177 to:
% 43.76/13.82  																																																						| (311) $false
% 43.76/13.82  																																																						|
% 43.76/13.82  																																																						|-The branch is then unsatisfiable
% 43.76/13.82  																																																					|-Branch two:
% 43.76/13.82  																																																					| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.82  																																																					| (638) all_0_81_81 = e4
% 43.76/13.82  																																																					|
% 43.76/13.82  																																																						| From (638) and (68) follows:
% 43.76/13.82  																																																						| (657) op(e4, e4) = all_0_70_70
% 43.76/13.82  																																																						|
% 43.76/13.82  																																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.82  																																																						|-Branch one:
% 43.76/13.82  																																																						| (804) all_0_85_85 = e3
% 43.76/13.82  																																																						|
% 43.76/13.82  																																																							| From (804) and (197) follows:
% 43.76/13.82  																																																							| (811) op(e3, e3) = all_0_72_72
% 43.76/13.82  																																																							|
% 43.76/13.82  																																																							| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 43.76/13.83  																																																							| (686) all_0_70_70 = e0
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							| Instantiating formula (262) with e3, e3, all_0_72_72, e0 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e0, yields:
% 43.76/13.83  																																																							| (10076) all_0_72_72 = e0
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							+-Applying beta-rule and splitting (89), into two cases.
% 43.76/13.83  																																																							|-Branch one:
% 43.76/13.83  																																																							| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								+-Applying beta-rule and splitting (1373), into two cases.
% 43.76/13.83  																																																								|-Branch one:
% 43.76/13.83  																																																								| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									+-Applying beta-rule and splitting (1374), into two cases.
% 43.76/13.83  																																																									|-Branch one:
% 43.76/13.83  																																																									| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																										| Applying alpha-rule on (1375) yields:
% 43.76/13.83  																																																										| (1376) all_0_69_69 = e4
% 43.76/13.83  																																																										| (1377)  ~ (all_0_70_70 = e0)
% 43.76/13.83  																																																										|
% 43.76/13.83  																																																										| Equations (686) can reduce 1377 to:
% 43.76/13.83  																																																										| (311) $false
% 43.76/13.83  																																																										|
% 43.76/13.83  																																																										|-The branch is then unsatisfiable
% 43.76/13.83  																																																									|-Branch two:
% 43.76/13.83  																																																									| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																										| Applying alpha-rule on (1379) yields:
% 43.76/13.83  																																																										| (1380) all_0_71_71 = e3
% 43.76/13.83  																																																										| (1381)  ~ (all_0_72_72 = e0)
% 43.76/13.83  																																																										|
% 43.76/13.83  																																																										| Equations (10076) can reduce 1381 to:
% 43.76/13.83  																																																										| (311) $false
% 43.76/13.83  																																																										|
% 43.76/13.83  																																																										|-The branch is then unsatisfiable
% 43.76/13.83  																																																								|-Branch two:
% 43.76/13.83  																																																								| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Applying alpha-rule on (1385) yields:
% 43.76/13.83  																																																									| (1386) all_0_73_73 = e2
% 43.76/13.83  																																																									| (1387)  ~ (all_0_74_74 = e0)
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (1965) can reduce 1387 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																							|-Branch two:
% 43.76/13.83  																																																							| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Applying alpha-rule on (1391) yields:
% 43.76/13.83  																																																								| (1392) all_0_75_75 = e1
% 43.76/13.83  																																																								| (1393)  ~ (all_0_76_76 = e0)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Equations (8960) can reduce 1393 to:
% 43.76/13.83  																																																								| (311) $false
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								|-The branch is then unsatisfiable
% 43.76/13.83  																																																						|-Branch two:
% 43.76/13.83  																																																						| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							+-Applying beta-rule and splitting (1296), into two cases.
% 43.76/13.83  																																																							|-Branch one:
% 43.76/13.83  																																																							| (795) all_0_83_83 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Combining equations (453,795) yields a new equation:
% 43.76/13.83  																																																								| (548) e3 = e2
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																								| (311) $false
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								|-The branch is then unsatisfiable
% 43.76/13.83  																																																							|-Branch two:
% 43.76/13.83  																																																							| (779)  ~ (all_0_83_83 = e3)
% 43.76/13.83  																																																							| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Equations (453) can reduce 779 to:
% 43.76/13.83  																																																								| (356)  ~ (e3 = e2)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Simplifying 356 yields:
% 43.76/13.83  																																																								| (169)  ~ (e3 = e2)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.83  																																																								|-Branch one:
% 43.76/13.83  																																																								| (570) all_0_93_93 = e3
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (570,566) yields a new equation:
% 43.76/13.83  																																																									| (825) e3 = e1
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Simplifying 825 yields:
% 43.76/13.83  																																																									| (772) e3 = e1
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (772) can reduce 20 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																								|-Branch two:
% 43.76/13.83  																																																								| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.83  																																																								| (969) all_0_98_98 = e3
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (969,525) yields a new equation:
% 43.76/13.83  																																																									| (547) e3 = e2
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Simplifying 547 yields:
% 43.76/13.83  																																																									| (548) e3 = e2
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																				|-Branch two:
% 43.76/13.83  																																																				| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.83  																																																				| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																					+-Applying beta-rule and splitting (1296), into two cases.
% 43.76/13.83  																																																					|-Branch one:
% 43.76/13.83  																																																					| (795) all_0_83_83 = e3
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																						| Combining equations (453,795) yields a new equation:
% 43.76/13.83  																																																						| (548) e3 = e2
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																						| (311) $false
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						|-The branch is then unsatisfiable
% 43.76/13.83  																																																					|-Branch two:
% 43.76/13.83  																																																					| (779)  ~ (all_0_83_83 = e3)
% 43.76/13.83  																																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																						| Equations (453) can reduce 779 to:
% 43.76/13.83  																																																						| (356)  ~ (e3 = e2)
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						| Simplifying 356 yields:
% 43.76/13.83  																																																						| (169)  ~ (e3 = e2)
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.83  																																																						|-Branch one:
% 43.76/13.83  																																																						| (433) all_0_80_80 = e4
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							| Combining equations (416,433) yields a new equation:
% 43.76/13.83  																																																							| (434) e4 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							| Equations (434) can reduce 177 to:
% 43.76/13.83  																																																							| (311) $false
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							|-The branch is then unsatisfiable
% 43.76/13.83  																																																						|-Branch two:
% 43.76/13.83  																																																						| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.83  																																																						| (638) all_0_81_81 = e4
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							| Equations (638) can reduce 118 to:
% 43.76/13.83  																																																							| (647)  ~ (all_0_85_85 = e4)
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							| Simplifying 647 yields:
% 43.76/13.83  																																																							| (648)  ~ (all_0_85_85 = e4)
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.83  																																																							|-Branch one:
% 43.76/13.83  																																																							| (804) all_0_85_85 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Equations (804) can reduce 648 to:
% 43.76/13.83  																																																								| (783)  ~ (e4 = e3)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Simplifying 783 yields:
% 43.76/13.83  																																																								| (177)  ~ (e4 = e3)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								+-Applying beta-rule and splitting (472), into two cases.
% 43.76/13.83  																																																								|-Branch one:
% 43.76/13.83  																																																								| (438) all_0_84_84 = e4
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Equations (438) can reduce 417 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																								|-Branch two:
% 43.76/13.83  																																																								| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.83  																																																								| (493) all_0_85_85 = e4
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (804,493) yields a new equation:
% 43.76/13.83  																																																									| (434) e4 = e3
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (434) can reduce 177 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																							|-Branch two:
% 43.76/13.83  																																																							| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																							| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.83  																																																								|-Branch one:
% 43.76/13.83  																																																								| (570) all_0_93_93 = e3
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (566,570) yields a new equation:
% 43.76/13.83  																																																									| (772) e3 = e1
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (772) can reduce 20 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																								|-Branch two:
% 43.76/13.83  																																																								| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.83  																																																								| (969) all_0_98_98 = e3
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (525,969) yields a new equation:
% 43.76/13.83  																																																									| (548) e3 = e2
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																|-Branch two:
% 43.76/13.83  																																																| (2347)  ~ (all_0_80_80 = e3)
% 43.76/13.83  																																																| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.76/13.83  																																																|
% 43.76/13.83  																																																	+-Applying beta-rule and splitting (106), into two cases.
% 43.76/13.83  																																																	|-Branch one:
% 43.76/13.83  																																																	| (771) all_0_78_78 = e3
% 43.76/13.83  																																																	|
% 43.76/13.83  																																																		| Combining equations (771,400) yields a new equation:
% 43.76/13.83  																																																		| (547) e3 = e2
% 43.76/13.83  																																																		|
% 43.76/13.83  																																																		| Simplifying 547 yields:
% 43.76/13.83  																																																		| (548) e3 = e2
% 43.76/13.83  																																																		|
% 43.76/13.83  																																																		| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																		| (311) $false
% 43.76/13.83  																																																		|
% 43.76/13.83  																																																		|-The branch is then unsatisfiable
% 43.76/13.83  																																																	|-Branch two:
% 43.76/13.83  																																																	| (418)  ~ (all_0_78_78 = e3)
% 43.76/13.83  																																																	| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.76/13.83  																																																	|
% 43.76/13.83  																																																		+-Applying beta-rule and splitting (45), into two cases.
% 43.76/13.83  																																																		|-Branch one:
% 43.76/13.83  																																																		| (546) all_0_80_80 = e2
% 43.76/13.83  																																																		|
% 43.76/13.83  																																																			| Equations (546) can reduce 394 to:
% 43.76/13.83  																																																			| (311) $false
% 43.76/13.83  																																																			|
% 43.76/13.83  																																																			|-The branch is then unsatisfiable
% 43.76/13.83  																																																		|-Branch two:
% 43.76/13.83  																																																		| (394)  ~ (all_0_80_80 = e2)
% 43.76/13.83  																																																		| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.76/13.83  																																																		|
% 43.76/13.83  																																																			+-Applying beta-rule and splitting (2481), into two cases.
% 43.76/13.83  																																																			|-Branch one:
% 43.76/13.83  																																																			| (1265) all_0_84_84 = e3
% 43.76/13.83  																																																			|
% 43.76/13.83  																																																				| Equations (1265) can reduce 154 to:
% 43.76/13.83  																																																				| (2358)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																				| Simplifying 2358 yields:
% 43.76/13.83  																																																				| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																				| Equations (1265) can reduce 612 to:
% 43.76/13.83  																																																				| (169)  ~ (e3 = e2)
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																				| Equations (1265) can reduce 259 to:
% 43.76/13.83  																																																				| (20)  ~ (e3 = e1)
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																				+-Applying beta-rule and splitting (1756), into two cases.
% 43.76/13.83  																																																				|-Branch one:
% 43.76/13.83  																																																				| (1708) all_0_79_79 = e3
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																					| Combining equations (1708,457) yields a new equation:
% 43.76/13.83  																																																					| (825) e3 = e1
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					| Simplifying 825 yields:
% 43.76/13.83  																																																					| (772) e3 = e1
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					| Equations (772) can reduce 20 to:
% 43.76/13.83  																																																					| (311) $false
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					|-The branch is then unsatisfiable
% 43.76/13.83  																																																				|-Branch two:
% 43.76/13.83  																																																				| (1711)  ~ (all_0_79_79 = e3)
% 43.76/13.83  																																																				| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																					| Equations (457) can reduce 1711 to:
% 43.76/13.83  																																																					| (683)  ~ (e3 = e1)
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					| Simplifying 683 yields:
% 43.76/13.83  																																																					| (20)  ~ (e3 = e1)
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.83  																																																					|-Branch one:
% 43.76/13.83  																																																					| (635) all_0_81_81 = e3
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																						| Equations (635) can reduce 118 to:
% 43.76/13.83  																																																						| (2358)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						| Simplifying 2358 yields:
% 43.76/13.83  																																																						| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																						+-Applying beta-rule and splitting (472), into two cases.
% 43.76/13.83  																																																						|-Branch one:
% 43.76/13.83  																																																						| (438) all_0_84_84 = e4
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							| Combining equations (1265,438) yields a new equation:
% 43.76/13.83  																																																							| (434) e4 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							| Equations (434) can reduce 177 to:
% 43.76/13.83  																																																							| (311) $false
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							|-The branch is then unsatisfiable
% 43.76/13.83  																																																						|-Branch two:
% 43.76/13.83  																																																						| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.83  																																																						| (493) all_0_85_85 = e4
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							| Equations (493) can reduce 952 to:
% 43.76/13.83  																																																							| (177)  ~ (e4 = e3)
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							+-Applying beta-rule and splitting (210), into two cases.
% 43.76/13.83  																																																							|-Branch one:
% 43.76/13.83  																																																							| (433) all_0_80_80 = e4
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Equations (433) can reduce 394 to:
% 43.76/13.83  																																																								| (79)  ~ (e4 = e2)
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| From (433) and (11792) follows:
% 43.76/13.83  																																																								| (4743) op(e1, e4) = e4
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 43.76/13.83  																																																								| (310) e4 = e2
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Equations (310) can reduce 79 to:
% 43.76/13.83  																																																								| (311) $false
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								|-The branch is then unsatisfiable
% 43.76/13.83  																																																							|-Branch two:
% 43.76/13.83  																																																							| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.83  																																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.83  																																																								|-Branch one:
% 43.76/13.83  																																																								| (433) all_0_80_80 = e4
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Equations (433) can reduce 436 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																								|-Branch two:
% 43.76/13.83  																																																								| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.83  																																																								| (638) all_0_81_81 = e4
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																									| Combining equations (635,638) yields a new equation:
% 43.76/13.83  																																																									| (434) e4 = e3
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									| Equations (434) can reduce 177 to:
% 43.76/13.83  																																																									| (311) $false
% 43.76/13.83  																																																									|
% 43.76/13.83  																																																									|-The branch is then unsatisfiable
% 43.76/13.83  																																																					|-Branch two:
% 43.76/13.83  																																																					| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.83  																																																					| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.83  																																																						|-Branch one:
% 43.76/13.83  																																																						| (804) all_0_85_85 = e3
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							| Equations (804) can reduce 952 to:
% 43.76/13.83  																																																							| (311) $false
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																							|-The branch is then unsatisfiable
% 43.76/13.83  																																																						|-Branch two:
% 43.76/13.83  																																																						| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.83  																																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.83  																																																						|
% 43.76/13.83  																																																							+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.83  																																																							|-Branch one:
% 43.76/13.83  																																																							| (570) all_0_93_93 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Combining equations (566,570) yields a new equation:
% 43.76/13.83  																																																								| (772) e3 = e1
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Equations (772) can reduce 20 to:
% 43.76/13.83  																																																								| (311) $false
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								|-The branch is then unsatisfiable
% 43.76/13.83  																																																							|-Branch two:
% 43.76/13.83  																																																							| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.83  																																																							| (969) all_0_98_98 = e3
% 43.76/13.83  																																																							|
% 43.76/13.83  																																																								| Combining equations (969,525) yields a new equation:
% 43.76/13.83  																																																								| (547) e3 = e2
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Simplifying 547 yields:
% 43.76/13.83  																																																								| (548) e3 = e2
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								| Equations (548) can reduce 169 to:
% 43.76/13.83  																																																								| (311) $false
% 43.76/13.83  																																																								|
% 43.76/13.83  																																																								|-The branch is then unsatisfiable
% 43.76/13.83  																																																			|-Branch two:
% 43.76/13.83  																																																			| (422)  ~ (all_0_84_84 = e3)
% 43.76/13.83  																																																			| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.76/13.83  																																																			|
% 43.76/13.83  																																																				+-Applying beta-rule and splitting (3765), into two cases.
% 43.76/13.83  																																																				|-Branch one:
% 43.76/13.83  																																																				| (882) all_0_92_92 = e3
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																					| Combining equations (942,882) yields a new equation:
% 43.76/13.83  																																																					| (600) e3 = e0
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					| Equations (600) can reduce 50 to:
% 43.76/13.83  																																																					| (311) $false
% 43.76/13.83  																																																					|
% 43.76/13.83  																																																					|-The branch is then unsatisfiable
% 43.76/13.83  																																																				|-Branch two:
% 43.76/13.83  																																																				| (426)  ~ (all_0_92_92 = e3)
% 43.76/13.83  																																																				| (556) all_0_97_97 = e3
% 43.76/13.83  																																																				|
% 43.76/13.83  																																																					| Combining equations (556,542) yields a new equation:
% 43.76/13.83  																																																					| (825) e3 = e1
% 43.76/13.83  																																																					|
% 43.76/13.84  																																																					| Simplifying 825 yields:
% 43.76/13.84  																																																					| (772) e3 = e1
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																					| (311) $false
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					|-The branch is then unsatisfiable
% 43.76/13.84  																																															|-Branch two:
% 43.76/13.84  																																															| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.76/13.84  																																															|
% 43.76/13.84  																																																| Applying alpha-rule on (585) yields:
% 43.76/13.84  																																																| (586) all_0_62_62 = e3
% 43.76/13.84  																																																| (587)  ~ (all_0_63_63 = e1)
% 43.76/13.84  																																																|
% 43.76/13.84  																																																| From (586) and (122) follows:
% 43.76/13.84  																																																| (5563) op(e1, all_0_84_84) = e3
% 43.76/13.84  																																																|
% 43.76/13.84  																																																+-Applying beta-rule and splitting (207), into two cases.
% 43.76/13.84  																																																|-Branch one:
% 43.76/13.84  																																																| (416) all_0_80_80 = e3
% 43.76/13.84  																																																|
% 43.76/13.84  																																																	| Equations (416) can reduce 144 to:
% 43.76/13.84  																																																	| (419)  ~ (all_0_81_81 = e3)
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																	| Simplifying 419 yields:
% 43.76/13.84  																																																	| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																	| Equations (416) can reduce 394 to:
% 43.76/13.84  																																																	| (169)  ~ (e3 = e2)
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																	| Equations (416) can reduce 828 to:
% 43.76/13.84  																																																	| (20)  ~ (e3 = e1)
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																	| Equations (416) can reduce 166 to:
% 43.76/13.84  																																																	| (50)  ~ (e3 = e0)
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																	+-Applying beta-rule and splitting (210), into two cases.
% 43.76/13.84  																																																	|-Branch one:
% 43.76/13.84  																																																	| (433) all_0_80_80 = e4
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																		| Combining equations (416,433) yields a new equation:
% 43.76/13.84  																																																		| (434) e4 = e3
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																		| (311) $false
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		|-The branch is then unsatisfiable
% 43.76/13.84  																																																	|-Branch two:
% 43.76/13.84  																																																	| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.84  																																																	| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																		| Equations (416) can reduce 436 to:
% 43.76/13.84  																																																		| (783)  ~ (e4 = e3)
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		| Simplifying 783 yields:
% 43.76/13.84  																																																		| (177)  ~ (e4 = e3)
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.84  																																																		|-Branch one:
% 43.76/13.84  																																																		| (635) all_0_81_81 = e3
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																			| Equations (635) can reduce 420 to:
% 43.76/13.84  																																																			| (311) $false
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			|-The branch is then unsatisfiable
% 43.76/13.84  																																																		|-Branch two:
% 43.76/13.84  																																																		| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.84  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																			+-Applying beta-rule and splitting (171), into two cases.
% 43.76/13.84  																																																			|-Branch one:
% 43.76/13.84  																																																			| (789) all_0_82_82 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				| Combining equations (910,789) yields a new equation:
% 43.76/13.84  																																																				| (600) e3 = e0
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Equations (600) can reduce 50 to:
% 43.76/13.84  																																																				| (311) $false
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				|-The branch is then unsatisfiable
% 43.76/13.84  																																																			|-Branch two:
% 43.76/13.84  																																																			| (793)  ~ (all_0_82_82 = e3)
% 43.76/13.84  																																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				+-Applying beta-rule and splitting (437), into two cases.
% 43.76/13.84  																																																				|-Branch one:
% 43.76/13.84  																																																				| (438) all_0_84_84 = e4
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																					| From (438) and (5563) follows:
% 43.76/13.84  																																																					| (5580) op(e1, e4) = e3
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					+-Applying beta-rule and splitting (182), into two cases.
% 43.76/13.84  																																																					|-Branch one:
% 43.76/13.84  																																																					| (512) all_0_85_85 = e2
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Equations (512) can reduce 515 to:
% 43.76/13.84  																																																						| (311) $false
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						|-The branch is then unsatisfiable
% 43.76/13.84  																																																					|-Branch two:
% 43.76/13.84  																																																					| (515)  ~ (all_0_85_85 = e2)
% 43.76/13.84  																																																					| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.84  																																																						|-Branch one:
% 43.76/13.84  																																																						| (804) all_0_85_85 = e3
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Equations (804) can reduce 515 to:
% 43.76/13.84  																																																							| (169)  ~ (e3 = e2)
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Instantiating formula (262) with e1, e4, e3, e2 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e2, yields:
% 43.76/13.84  																																																							| (548) e3 = e2
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																							| (311) $false
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							|-The branch is then unsatisfiable
% 43.76/13.84  																																																						|-Branch two:
% 43.76/13.84  																																																						| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							+-Applying beta-rule and splitting (1296), into two cases.
% 43.76/13.84  																																																							|-Branch one:
% 43.76/13.84  																																																							| (795) all_0_83_83 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								| Combining equations (453,795) yields a new equation:
% 43.76/13.84  																																																								| (548) e3 = e2
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																								| (311) $false
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								|-The branch is then unsatisfiable
% 43.76/13.84  																																																							|-Branch two:
% 43.76/13.84  																																																							| (779)  ~ (all_0_83_83 = e3)
% 43.76/13.84  																																																							| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								| Equations (453) can reduce 779 to:
% 43.76/13.84  																																																								| (356)  ~ (e3 = e2)
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								| Simplifying 356 yields:
% 43.76/13.84  																																																								| (169)  ~ (e3 = e2)
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.84  																																																								|-Branch one:
% 43.76/13.84  																																																								| (570) all_0_93_93 = e3
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Combining equations (570,566) yields a new equation:
% 43.76/13.84  																																																									| (825) e3 = e1
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Simplifying 825 yields:
% 43.76/13.84  																																																									| (772) e3 = e1
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																								|-Branch two:
% 43.76/13.84  																																																								| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.84  																																																								| (969) all_0_98_98 = e3
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Combining equations (969,525) yields a new equation:
% 43.76/13.84  																																																									| (547) e3 = e2
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Simplifying 547 yields:
% 43.76/13.84  																																																									| (548) e3 = e2
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																				|-Branch two:
% 43.76/13.84  																																																				| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.84  																																																				| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																					+-Applying beta-rule and splitting (1296), into two cases.
% 43.76/13.84  																																																					|-Branch one:
% 43.76/13.84  																																																					| (795) all_0_83_83 = e3
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Combining equations (453,795) yields a new equation:
% 43.76/13.84  																																																						| (548) e3 = e2
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																						| (311) $false
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						|-The branch is then unsatisfiable
% 43.76/13.84  																																																					|-Branch two:
% 43.76/13.84  																																																					| (779)  ~ (all_0_83_83 = e3)
% 43.76/13.84  																																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Equations (453) can reduce 779 to:
% 43.76/13.84  																																																						| (356)  ~ (e3 = e2)
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						| Simplifying 356 yields:
% 43.76/13.84  																																																						| (169)  ~ (e3 = e2)
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.84  																																																						|-Branch one:
% 43.76/13.84  																																																						| (433) all_0_80_80 = e4
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Combining equations (416,433) yields a new equation:
% 43.76/13.84  																																																							| (434) e4 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																							| (311) $false
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							|-The branch is then unsatisfiable
% 43.76/13.84  																																																						|-Branch two:
% 43.76/13.84  																																																						| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.84  																																																						| (638) all_0_81_81 = e4
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Equations (638) can reduce 118 to:
% 43.76/13.84  																																																							| (647)  ~ (all_0_85_85 = e4)
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Simplifying 647 yields:
% 43.76/13.84  																																																							| (648)  ~ (all_0_85_85 = e4)
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.84  																																																							|-Branch one:
% 43.76/13.84  																																																							| (804) all_0_85_85 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								| Equations (804) can reduce 648 to:
% 43.76/13.84  																																																								| (783)  ~ (e4 = e3)
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								| Simplifying 783 yields:
% 43.76/13.84  																																																								| (177)  ~ (e4 = e3)
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								+-Applying beta-rule and splitting (472), into two cases.
% 43.76/13.84  																																																								|-Branch one:
% 43.76/13.84  																																																								| (438) all_0_84_84 = e4
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Equations (438) can reduce 417 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																								|-Branch two:
% 43.76/13.84  																																																								| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.84  																																																								| (493) all_0_85_85 = e4
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Combining equations (804,493) yields a new equation:
% 43.76/13.84  																																																									| (434) e4 = e3
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																							|-Branch two:
% 43.76/13.84  																																																							| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																							| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.84  																																																								|-Branch one:
% 43.76/13.84  																																																								| (570) all_0_93_93 = e3
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Combining equations (566,570) yields a new equation:
% 43.76/13.84  																																																									| (772) e3 = e1
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																								|-Branch two:
% 43.76/13.84  																																																								| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.84  																																																								| (969) all_0_98_98 = e3
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																									| Combining equations (525,969) yields a new equation:
% 43.76/13.84  																																																									| (548) e3 = e2
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																									| (311) $false
% 43.76/13.84  																																																									|
% 43.76/13.84  																																																									|-The branch is then unsatisfiable
% 43.76/13.84  																																																|-Branch two:
% 43.76/13.84  																																																| (2347)  ~ (all_0_80_80 = e3)
% 43.76/13.84  																																																| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.76/13.84  																																																|
% 43.76/13.84  																																																	+-Applying beta-rule and splitting (106), into two cases.
% 43.76/13.84  																																																	|-Branch one:
% 43.76/13.84  																																																	| (771) all_0_78_78 = e3
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																		| Combining equations (771,400) yields a new equation:
% 43.76/13.84  																																																		| (547) e3 = e2
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		| Simplifying 547 yields:
% 43.76/13.84  																																																		| (548) e3 = e2
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																		| (311) $false
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																		|-The branch is then unsatisfiable
% 43.76/13.84  																																																	|-Branch two:
% 43.76/13.84  																																																	| (418)  ~ (all_0_78_78 = e3)
% 43.76/13.84  																																																	| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 43.76/13.84  																																																	|
% 43.76/13.84  																																																		+-Applying beta-rule and splitting (2481), into two cases.
% 43.76/13.84  																																																		|-Branch one:
% 43.76/13.84  																																																		| (1265) all_0_84_84 = e3
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																			| Equations (1265) can reduce 154 to:
% 43.76/13.84  																																																			| (2358)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			| Simplifying 2358 yields:
% 43.76/13.84  																																																			| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			| Equations (1265) can reduce 612 to:
% 43.76/13.84  																																																			| (169)  ~ (e3 = e2)
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			| Equations (1265) can reduce 259 to:
% 43.76/13.84  																																																			| (20)  ~ (e3 = e1)
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			| From (1265) and (5563) follows:
% 43.76/13.84  																																																			| (4744) op(e1, e3) = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																			+-Applying beta-rule and splitting (1756), into two cases.
% 43.76/13.84  																																																			|-Branch one:
% 43.76/13.84  																																																			| (1708) all_0_79_79 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				| Combining equations (1708,457) yields a new equation:
% 43.76/13.84  																																																				| (825) e3 = e1
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Simplifying 825 yields:
% 43.76/13.84  																																																				| (772) e3 = e1
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																				| (311) $false
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				|-The branch is then unsatisfiable
% 43.76/13.84  																																																			|-Branch two:
% 43.76/13.84  																																																			| (1711)  ~ (all_0_79_79 = e3)
% 43.76/13.84  																																																			| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				| Equations (457) can reduce 1711 to:
% 43.76/13.84  																																																				| (683)  ~ (e3 = e1)
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Simplifying 683 yields:
% 43.76/13.84  																																																				| (20)  ~ (e3 = e1)
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.84  																																																				|-Branch one:
% 43.76/13.84  																																																				| (635) all_0_81_81 = e3
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																					| Equations (635) can reduce 144 to:
% 43.76/13.84  																																																					| (2347)  ~ (all_0_80_80 = e3)
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					| Equations (635) can reduce 118 to:
% 43.76/13.84  																																																					| (2358)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					| Simplifying 2358 yields:
% 43.76/13.84  																																																					| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																					+-Applying beta-rule and splitting (472), into two cases.
% 43.76/13.84  																																																					|-Branch one:
% 43.76/13.84  																																																					| (438) all_0_84_84 = e4
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Combining equations (1265,438) yields a new equation:
% 43.76/13.84  																																																						| (434) e4 = e3
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																						| (311) $false
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						|-The branch is then unsatisfiable
% 43.76/13.84  																																																					|-Branch two:
% 43.76/13.84  																																																					| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.84  																																																					| (493) all_0_85_85 = e4
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Equations (493) can reduce 952 to:
% 43.76/13.84  																																																						| (177)  ~ (e4 = e3)
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						+-Applying beta-rule and splitting (210), into two cases.
% 43.76/13.84  																																																						|-Branch one:
% 43.76/13.84  																																																						| (433) all_0_80_80 = e4
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Equations (433) can reduce 2347 to:
% 43.76/13.84  																																																							| (177)  ~ (e4 = e3)
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 43.76/13.84  																																																							| (434) e4 = e3
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																							| (311) $false
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							|-The branch is then unsatisfiable
% 43.76/13.84  																																																						|-Branch two:
% 43.76/13.84  																																																						| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.84  																																																						| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.84  																																																							|-Branch one:
% 43.76/13.84  																																																							| (433) all_0_80_80 = e4
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								| Equations (433) can reduce 436 to:
% 43.76/13.84  																																																								| (311) $false
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								|-The branch is then unsatisfiable
% 43.76/13.84  																																																							|-Branch two:
% 43.76/13.84  																																																							| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.84  																																																							| (638) all_0_81_81 = e4
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																								| Combining equations (635,638) yields a new equation:
% 43.76/13.84  																																																								| (434) e4 = e3
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								| Equations (434) can reduce 177 to:
% 43.76/13.84  																																																								| (311) $false
% 43.76/13.84  																																																								|
% 43.76/13.84  																																																								|-The branch is then unsatisfiable
% 43.76/13.84  																																																				|-Branch two:
% 43.76/13.84  																																																				| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.84  																																																				| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																					+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.84  																																																					|-Branch one:
% 43.76/13.84  																																																					| (804) all_0_85_85 = e3
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						| Equations (804) can reduce 952 to:
% 43.76/13.84  																																																						| (311) $false
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																						|-The branch is then unsatisfiable
% 43.76/13.84  																																																					|-Branch two:
% 43.76/13.84  																																																					| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.84  																																																					| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.84  																																																					|
% 43.76/13.84  																																																						+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.84  																																																						|-Branch one:
% 43.76/13.84  																																																						| (570) all_0_93_93 = e3
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Combining equations (566,570) yields a new equation:
% 43.76/13.84  																																																							| (772) e3 = e1
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																							| (311) $false
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							|-The branch is then unsatisfiable
% 43.76/13.84  																																																						|-Branch two:
% 43.76/13.84  																																																						| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.84  																																																						| (969) all_0_98_98 = e3
% 43.76/13.84  																																																						|
% 43.76/13.84  																																																							| Combining equations (969,525) yields a new equation:
% 43.76/13.84  																																																							| (547) e3 = e2
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Simplifying 547 yields:
% 43.76/13.84  																																																							| (548) e3 = e2
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							| Equations (548) can reduce 169 to:
% 43.76/13.84  																																																							| (311) $false
% 43.76/13.84  																																																							|
% 43.76/13.84  																																																							|-The branch is then unsatisfiable
% 43.76/13.84  																																																		|-Branch two:
% 43.76/13.84  																																																		| (422)  ~ (all_0_84_84 = e3)
% 43.76/13.84  																																																		| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.76/13.84  																																																		|
% 43.76/13.84  																																																			+-Applying beta-rule and splitting (3765), into two cases.
% 43.76/13.84  																																																			|-Branch one:
% 43.76/13.84  																																																			| (882) all_0_92_92 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				| Combining equations (942,882) yields a new equation:
% 43.76/13.84  																																																				| (600) e3 = e0
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Equations (600) can reduce 50 to:
% 43.76/13.84  																																																				| (311) $false
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				|-The branch is then unsatisfiable
% 43.76/13.84  																																																			|-Branch two:
% 43.76/13.84  																																																			| (426)  ~ (all_0_92_92 = e3)
% 43.76/13.84  																																																			| (556) all_0_97_97 = e3
% 43.76/13.84  																																																			|
% 43.76/13.84  																																																				| Combining equations (556,542) yields a new equation:
% 43.76/13.84  																																																				| (825) e3 = e1
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Simplifying 825 yields:
% 43.76/13.84  																																																				| (772) e3 = e1
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				| Equations (772) can reduce 20 to:
% 43.76/13.84  																																																				| (311) $false
% 43.76/13.84  																																																				|
% 43.76/13.84  																																																				|-The branch is then unsatisfiable
% 43.76/13.84  																																														|-Branch two:
% 43.76/13.84  																																														| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.76/13.84  																																														|
% 43.76/13.84  																																															| Applying alpha-rule on (590) yields:
% 43.76/13.84  																																															| (591) all_0_64_64 = e2
% 43.76/13.84  																																															| (592)  ~ (all_0_65_65 = e1)
% 43.76/13.84  																																															|
% 43.76/13.85  																																															| Combining equations (591,3524) yields a new equation:
% 43.76/13.85  																																															| (548) e3 = e2
% 43.76/13.85  																																															|
% 43.76/13.85  																																															| Equations (548) can reduce 169 to:
% 43.76/13.85  																																															| (311) $false
% 43.76/13.85  																																															|
% 43.76/13.85  																																															|-The branch is then unsatisfiable
% 43.76/13.85  																																													|-Branch two:
% 43.76/13.85  																																													| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.76/13.85  																																													|
% 43.76/13.85  																																														| Applying alpha-rule on (596) yields:
% 43.76/13.85  																																														| (597) all_0_67_67 = e0
% 43.76/13.85  																																														| (598)  ~ (all_0_68_68 = e1)
% 43.76/13.85  																																														|
% 43.76/13.85  																																														| Equations (1419) can reduce 598 to:
% 43.76/13.85  																																														| (311) $false
% 43.76/13.85  																																														|
% 43.76/13.85  																																														|-The branch is then unsatisfiable
% 43.76/13.85  																																											|-Branch two:
% 43.76/13.85  																																											| (571)  ~ (all_0_91_91 = e3)
% 43.76/13.85  																																											| (1456) all_0_91_91 = e0
% 43.76/13.85  																																											|
% 43.76/13.85  																																												| Equations (1456) can reduce 1487 to:
% 43.76/13.85  																																												| (311) $false
% 43.76/13.85  																																												|
% 43.76/13.85  																																												|-The branch is then unsatisfiable
% 43.76/13.85  																																								|-Branch two:
% 43.76/13.85  																																								| (467)  ~ (all_0_90_90 = e4)
% 43.76/13.85  																																								| (894) all_0_95_95 = e4
% 43.76/13.85  																																								|
% 43.76/13.85  																																									| Combining equations (744,894) yields a new equation:
% 43.76/13.85  																																									| (434) e4 = e3
% 43.76/13.85  																																									|
% 43.76/13.85  																																									| Equations (434) can reduce 177 to:
% 43.76/13.85  																																									| (311) $false
% 43.76/13.85  																																									|
% 43.76/13.85  																																									|-The branch is then unsatisfiable
% 43.76/13.85  																																							|-Branch two:
% 43.76/13.85  																																							| (765)  ~ (all_0_95_95 = e3)
% 43.76/13.85  																																							| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.76/13.85  																																							|
% 43.76/13.85  																																								+-Applying beta-rule and splitting (857), into two cases.
% 43.76/13.85  																																								|-Branch one:
% 43.76/13.85  																																								| (858) all_0_95_95 = e0
% 43.76/13.85  																																								|
% 43.76/13.85  																																									| Equations (858) can reduce 893 to:
% 43.76/13.85  																																									| (311) $false
% 43.76/13.85  																																									|
% 43.76/13.85  																																									|-The branch is then unsatisfiable
% 43.76/13.85  																																								|-Branch two:
% 43.76/13.85  																																								| (893)  ~ (all_0_95_95 = e0)
% 43.76/13.85  																																								| (894) all_0_95_95 = e4
% 43.76/13.85  																																								|
% 43.76/13.85  																																									| Equations (894) can reduce 315 to:
% 43.76/13.85  																																									| (311) $false
% 43.76/13.85  																																									|
% 43.76/13.85  																																									|-The branch is then unsatisfiable
% 43.76/13.85  																																		|-Branch two:
% 43.76/13.85  																																		| (946)  ~ (all_0_92_92 = e0)
% 43.76/13.85  																																		| (604) all_0_93_93 = e0
% 43.76/13.85  																																		|
% 43.76/13.85  																																			| Combining equations (604,566) yields a new equation:
% 43.76/13.85  																																			| (865) e1 = e0
% 43.76/13.85  																																			|
% 43.76/13.85  																																			| Equations (865) can reduce 264 to:
% 43.76/13.85  																																			| (311) $false
% 43.76/13.85  																																			|
% 43.76/13.85  																																			|-The branch is then unsatisfiable
% 43.76/13.85  																															|-Branch two:
% 43.76/13.85  																															| (2095)  ~ (all_0_96_96 = e0)
% 43.76/13.85  																															| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.76/13.85  																															|
% 43.76/13.85  																																+-Applying beta-rule and splitting (1400), into two cases.
% 43.76/13.85  																																|-Branch one:
% 43.76/13.85  																																| (1456) all_0_91_91 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																	| Equations (1456) can reduce 296 to:
% 43.76/13.85  																																	| (510)  ~ (e2 = e0)
% 43.76/13.85  																																	|
% 43.76/13.85  																																	| Simplifying 510 yields:
% 43.76/13.85  																																	| (76)  ~ (e2 = e0)
% 43.76/13.85  																																	|
% 43.76/13.85  																																	| Equations (1456) can reduce 959 to:
% 43.76/13.85  																																	| (859)  ~ (e1 = e0)
% 43.76/13.85  																																	|
% 43.76/13.85  																																	| Simplifying 859 yields:
% 43.76/13.85  																																	| (264)  ~ (e1 = e0)
% 43.76/13.85  																																	|
% 43.76/13.85  																																	+-Applying beta-rule and splitting (2096), into two cases.
% 43.76/13.85  																																	|-Branch one:
% 43.76/13.85  																																	| (560) all_0_97_97 = e0
% 43.76/13.85  																																	|
% 43.76/13.85  																																		| Combining equations (542,560) yields a new equation:
% 43.76/13.85  																																		| (1107) e1 = e0
% 43.76/13.85  																																		|
% 43.76/13.85  																																		| Simplifying 1107 yields:
% 43.76/13.85  																																		| (865) e1 = e0
% 43.76/13.85  																																		|
% 43.76/13.85  																																		| Equations (865) can reduce 264 to:
% 43.76/13.85  																																		| (311) $false
% 43.76/13.85  																																		|
% 43.76/13.85  																																		|-The branch is then unsatisfiable
% 43.76/13.85  																																	|-Branch two:
% 43.76/13.85  																																	| (609)  ~ (all_0_97_97 = e0)
% 43.76/13.85  																																	| (1121) all_0_98_98 = e0
% 43.76/13.85  																																	|
% 43.76/13.85  																																		| Combining equations (1121,525) yields a new equation:
% 43.76/13.85  																																		| (379) e2 = e0
% 43.76/13.85  																																		|
% 43.76/13.85  																																		| Equations (379) can reduce 76 to:
% 43.76/13.85  																																		| (311) $false
% 43.76/13.85  																																		|
% 43.76/13.85  																																		|-The branch is then unsatisfiable
% 43.76/13.85  																																|-Branch two:
% 43.76/13.85  																																| (1487)  ~ (all_0_91_91 = e0)
% 43.76/13.85  																																| (1837) all_0_96_96 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																	| Equations (1837) can reduce 2095 to:
% 43.76/13.85  																																	| (311) $false
% 43.76/13.85  																																	|
% 43.76/13.85  																																	|-The branch is then unsatisfiable
% 43.76/13.85  																													|-Branch two:
% 43.76/13.85  																													| (914)  ~ (all_0_82_82 = e0)
% 43.76/13.85  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.76/13.85  																													|
% 43.76/13.85  																														+-Applying beta-rule and splitting (920), into two cases.
% 43.76/13.85  																														|-Branch one:
% 43.76/13.85  																														| (861) all_0_87_87 = e0
% 43.76/13.85  																														|
% 43.76/13.85  																															| Combining equations (374,861) yields a new equation:
% 43.76/13.85  																															| (923) e2 = e0
% 43.76/13.85  																															|
% 43.76/13.85  																															| Simplifying 923 yields:
% 43.76/13.85  																															| (379) e2 = e0
% 43.76/13.85  																															|
% 43.76/13.85  																															| Equations (379) can reduce 76 to:
% 43.76/13.85  																															| (311) $false
% 43.76/13.85  																															|
% 43.76/13.85  																															|-The branch is then unsatisfiable
% 43.76/13.85  																														|-Branch two:
% 43.76/13.85  																														| (889)  ~ (all_0_87_87 = e0)
% 43.76/13.85  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.76/13.85  																														|
% 43.76/13.85  																															| Equations (374) can reduce 889 to:
% 43.76/13.85  																															| (76)  ~ (e2 = e0)
% 43.76/13.85  																															|
% 43.76/13.85  																															+-Applying beta-rule and splitting (1309), into two cases.
% 43.76/13.85  																															|-Branch one:
% 43.76/13.85  																															| (798) all_0_83_83 = e0
% 43.76/13.85  																															|
% 43.76/13.85  																																| Combining equations (453,798) yields a new equation:
% 43.76/13.85  																																| (923) e2 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																| Simplifying 923 yields:
% 43.76/13.85  																																| (379) e2 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																| Equations (379) can reduce 76 to:
% 43.76/13.85  																																| (311) $false
% 43.76/13.85  																																|
% 43.76/13.85  																																|-The branch is then unsatisfiable
% 43.76/13.85  																															|-Branch two:
% 43.76/13.85  																															| (1314)  ~ (all_0_83_83 = e0)
% 43.76/13.85  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.76/13.85  																															|
% 43.76/13.85  																																+-Applying beta-rule and splitting (931), into two cases.
% 43.76/13.85  																																|-Branch one:
% 43.76/13.85  																																| (942) all_0_92_92 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																	| Equations (942) can reduce 87 to:
% 43.76/13.85  																																	| (919)  ~ (all_0_84_84 = e0)
% 43.76/13.85  																																	|
% 43.76/13.85  																																	+-Applying beta-rule and splitting (1315), into two cases.
% 43.76/13.85  																																	|-Branch one:
% 43.76/13.85  																																	| (916) all_0_84_84 = e0
% 43.76/13.85  																																	|
% 43.76/13.85  																																		| Equations (916) can reduce 919 to:
% 43.76/13.85  																																		| (311) $false
% 43.76/13.85  																																		|
% 43.76/13.85  																																		|-The branch is then unsatisfiable
% 43.76/13.85  																																	|-Branch two:
% 43.76/13.85  																																	| (919)  ~ (all_0_84_84 = e0)
% 43.76/13.85  																																	| (954) all_0_85_85 = e0
% 43.76/13.85  																																	|
% 43.76/13.85  																																		| Equations (954) can reduce 800 to:
% 43.76/13.85  																																		| (311) $false
% 43.76/13.85  																																		|
% 43.76/13.85  																																		|-The branch is then unsatisfiable
% 43.76/13.85  																																|-Branch two:
% 43.76/13.85  																																| (946)  ~ (all_0_92_92 = e0)
% 43.76/13.85  																																| (560) all_0_97_97 = e0
% 43.76/13.85  																																|
% 43.76/13.85  																																	| Combining equations (560,542) yields a new equation:
% 43.76/13.85  																																	| (865) e1 = e0
% 43.76/13.85  																																	|
% 43.76/13.85  																																	| Equations (865) can reduce 264 to:
% 43.76/13.85  																																	| (311) $false
% 43.76/13.85  																																	|
% 43.76/13.85  																																	|-The branch is then unsatisfiable
% 43.76/13.85  																										|-Branch two:
% 43.76/13.85  																										| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.76/13.85  																										|
% 43.76/13.85  																											| Applying alpha-rule on (4957) yields:
% 43.76/13.85  																											| (4958) all_0_58_58 = e0
% 43.76/13.85  																											| (4959)  ~ (all_0_59_59 = e2)
% 43.76/13.85  																											|
% 43.76/13.85  																											| From (4958) and (212) follows:
% 43.76/13.85  																											| (4960) op(e2, all_0_96_96) = e0
% 43.76/13.85  																											|
% 43.76/13.85  																											+-Applying beta-rule and splitting (2), into two cases.
% 43.76/13.85  																											|-Branch one:
% 43.76/13.85  																											| (916) all_0_84_84 = e0
% 43.76/13.85  																											|
% 43.76/13.85  																												| Equations (916) can reduce 87 to:
% 43.76/13.85  																												| (2299)  ~ (all_0_92_92 = e0)
% 43.76/13.85  																												|
% 43.76/13.85  																												| Simplifying 2299 yields:
% 43.76/13.85  																												| (946)  ~ (all_0_92_92 = e0)
% 43.76/13.85  																												|
% 43.76/13.85  																												| From (916) and (122) follows:
% 43.76/13.85  																												| (1321) op(e1, e0) = all_0_62_62
% 43.76/13.85  																												|
% 43.76/13.85  																												| Instantiating formula (262) with e1, e0, all_0_62_62, e1 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e1, yields:
% 43.76/13.85  																												| (1413) all_0_62_62 = e1
% 43.76/13.85  																												|
% 43.76/13.85  																												+-Applying beta-rule and splitting (276), into two cases.
% 43.76/13.85  																												|-Branch one:
% 43.76/13.85  																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.76/13.85  																												|
% 43.76/13.85  																													+-Applying beta-rule and splitting (577), into two cases.
% 43.76/13.85  																													|-Branch one:
% 43.76/13.85  																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.76/13.85  																													|
% 43.76/13.85  																														+-Applying beta-rule and splitting (578), into two cases.
% 43.76/13.85  																														|-Branch one:
% 43.76/13.85  																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.76/13.85  																														|
% 43.76/13.85  																															| Applying alpha-rule on (579) yields:
% 43.76/13.85  																															| (580) all_0_60_60 = e4
% 43.76/13.85  																															| (581)  ~ (all_0_61_61 = e1)
% 43.76/13.85  																															|
% 43.76/13.85  																															| From (580) and (233) follows:
% 43.76/13.85  																															| (11792) op(e1, all_0_80_80) = e4
% 43.76/13.85  																															|
% 43.76/13.85  																															+-Applying beta-rule and splitting (109), into two cases.
% 43.76/13.85  																															|-Branch one:
% 43.76/13.85  																															| (469) all_0_82_82 = e4
% 43.76/13.85  																															|
% 43.76/13.85  																																| Equations (469) can reduce 255 to:
% 43.76/13.85  																																| (466)  ~ (all_0_90_90 = e4)
% 43.76/13.85  																																|
% 43.76/13.85  																																| Simplifying 466 yields:
% 43.76/13.85  																																| (467)  ~ (all_0_90_90 = e4)
% 43.76/13.85  																																|
% 43.76/13.85  																																| Equations (469) can reduce 347 to:
% 43.76/13.85  																																| (79)  ~ (e4 = e2)
% 43.76/13.85  																																|
% 43.76/13.85  																																+-Applying beta-rule and splitting (46), into two cases.
% 43.76/13.85  																																|-Branch one:
% 43.76/13.85  																																| (308) all_0_89_89 = e4
% 43.76/13.85  																																|
% 43.76/13.85  																																	| Combining equations (292,308) yields a new equation:
% 43.76/13.85  																																	| (310) e4 = e2
% 43.76/13.85  																																	|
% 43.76/13.85  																																	| Equations (310) can reduce 79 to:
% 43.76/13.85  																																	| (311) $false
% 43.76/13.85  																																	|
% 43.76/13.85  																																	|-The branch is then unsatisfiable
% 43.76/13.85  																																|-Branch two:
% 43.76/13.85  																																| (312)  ~ (all_0_89_89 = e4)
% 43.76/13.85  																																| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.76/13.85  																																|
% 43.76/13.85  																																	+-Applying beta-rule and splitting (168), into two cases.
% 43.76/13.85  																																	|-Branch one:
% 43.76/13.85  																																	| (638) all_0_81_81 = e4
% 43.76/13.85  																																	|
% 43.76/13.85  																																		| Equations (638) can reduce 144 to:
% 43.76/13.85  																																		| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.85  																																		|
% 43.76/13.85  																																		| Equations (638) can reduce 628 to:
% 43.76/13.85  																																		| (256)  ~ (e4 = e1)
% 43.76/13.85  																																		|
% 43.76/13.85  																																		| Equations (638) can reduce 257 to:
% 43.76/13.85  																																		| (23)  ~ (e4 = e0)
% 43.76/13.85  																																		|
% 43.76/13.85  																																		+-Applying beta-rule and splitting (45), into two cases.
% 43.76/13.85  																																		|-Branch one:
% 43.76/13.85  																																		| (546) all_0_80_80 = e2
% 43.76/13.85  																																		|
% 43.76/13.85  																																			| Equations (546) can reduce 394 to:
% 43.76/13.85  																																			| (311) $false
% 43.76/13.85  																																			|
% 43.76/13.85  																																			|-The branch is then unsatisfiable
% 43.76/13.85  																																		|-Branch two:
% 43.76/13.85  																																		| (394)  ~ (all_0_80_80 = e2)
% 43.76/13.85  																																		| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 43.76/13.85  																																		|
% 43.76/13.85  																																			+-Applying beta-rule and splitting (210), into two cases.
% 43.76/13.85  																																			|-Branch one:
% 43.76/13.85  																																			| (433) all_0_80_80 = e4
% 43.76/13.85  																																			|
% 43.76/13.85  																																				| Equations (433) can reduce 436 to:
% 43.76/13.85  																																				| (311) $false
% 43.76/13.85  																																				|
% 43.76/13.85  																																				|-The branch is then unsatisfiable
% 43.76/13.85  																																			|-Branch two:
% 43.76/13.85  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.85  																																			| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.85  																																			|
% 43.76/13.85  																																				+-Applying beta-rule and splitting (3232), into two cases.
% 43.76/13.85  																																				|-Branch one:
% 43.76/13.85  																																				| (824) all_0_80_80 = e1
% 43.76/13.85  																																				|
% 43.76/13.85  																																					| Equations (824) can reduce 828 to:
% 43.76/13.85  																																					| (311) $false
% 43.76/13.85  																																					|
% 43.76/13.85  																																					|-The branch is then unsatisfiable
% 43.76/13.85  																																				|-Branch two:
% 43.76/13.85  																																				| (828)  ~ (all_0_80_80 = e1)
% 43.76/13.85  																																				| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 43.76/13.85  																																				|
% 43.76/13.85  																																					+-Applying beta-rule and splitting (437), into two cases.
% 43.76/13.85  																																					|-Branch one:
% 43.76/13.85  																																					| (438) all_0_84_84 = e4
% 43.76/13.85  																																					|
% 43.76/13.85  																																						| Combining equations (916,438) yields a new equation:
% 43.76/13.85  																																						| (912) e4 = e0
% 43.76/13.85  																																						|
% 43.76/13.85  																																						| Equations (912) can reduce 23 to:
% 43.76/13.85  																																						| (311) $false
% 43.76/13.85  																																						|
% 43.76/13.85  																																						|-The branch is then unsatisfiable
% 43.76/13.85  																																					|-Branch two:
% 43.76/13.85  																																					| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.85  																																					| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 43.76/13.85  																																					|
% 43.76/13.85  																																						+-Applying beta-rule and splitting (4018), into two cases.
% 43.76/13.85  																																						|-Branch one:
% 43.76/13.85  																																						| (416) all_0_80_80 = e3
% 43.76/13.85  																																						|
% 43.76/13.85  																																							| From (416) and (11792) follows:
% 43.76/13.85  																																							| (4391) op(e1, e3) = e4
% 43.76/13.85  																																							|
% 43.76/13.85  																																							+-Applying beta-rule and splitting (441), into two cases.
% 43.76/13.85  																																							|-Branch one:
% 43.76/13.85  																																							| (442) all_0_92_92 = e4
% 43.76/13.85  																																							|
% 43.76/13.85  																																								| Equations (442) can reduce 72 to:
% 43.76/13.85  																																								| (467)  ~ (all_0_90_90 = e4)
% 43.76/13.85  																																								|
% 43.76/13.85  																																								| Instantiating formula (262) with e1, e3, e4, all_0_90_90 and discharging atoms op(e1, e3) = all_0_90_90, op(e1, e3) = e4, yields:
% 43.76/13.85  																																								| (583) all_0_90_90 = e4
% 43.76/13.85  																																								|
% 43.76/13.85  																																								| Equations (583) can reduce 467 to:
% 43.76/13.85  																																								| (311) $false
% 43.76/13.85  																																								|
% 43.76/13.85  																																								|-The branch is then unsatisfiable
% 43.76/13.85  																																							|-Branch two:
% 43.76/13.85  																																							| (1619)  ~ (all_0_92_92 = e4)
% 43.76/13.85  																																							| (610) all_0_97_97 = e4
% 43.76/13.85  																																							|
% 43.76/13.85  																																								| Combining equations (542,610) yields a new equation:
% 43.76/13.85  																																								| (814) e4 = e1
% 43.76/13.85  																																								|
% 43.76/13.85  																																								| Equations (814) can reduce 256 to:
% 43.76/13.85  																																								| (311) $false
% 43.76/13.85  																																								|
% 43.76/13.85  																																								|-The branch is then unsatisfiable
% 43.76/13.85  																																						|-Branch two:
% 43.76/13.85  																																						| (2347)  ~ (all_0_80_80 = e3)
% 43.76/13.85  																																						| (433) all_0_80_80 = e4
% 43.76/13.85  																																						|
% 43.76/13.85  																																							| Equations (433) can reduce 436 to:
% 43.76/13.85  																																							| (311) $false
% 43.76/13.85  																																							|
% 43.76/13.85  																																							|-The branch is then unsatisfiable
% 43.76/13.85  																																	|-Branch two:
% 43.76/13.85  																																	| (634)  ~ (all_0_81_81 = e4)
% 43.76/13.85  																																	| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 43.76/13.85  																																	|
% 43.76/13.85  																																		+-Applying beta-rule and splitting (1915), into two cases.
% 43.76/13.85  																																		|-Branch one:
% 43.76/13.85  																																		| (583) all_0_90_90 = e4
% 43.76/13.85  																																		|
% 43.76/13.85  																																			| Equations (583) can reduce 467 to:
% 43.76/13.85  																																			| (311) $false
% 43.76/13.85  																																			|
% 43.76/13.85  																																			|-The branch is then unsatisfiable
% 43.76/13.85  																																		|-Branch two:
% 43.76/13.85  																																		| (467)  ~ (all_0_90_90 = e4)
% 43.76/13.85  																																		| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.76/13.85  																																		|
% 43.76/13.85  																																			+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.85  																																			|-Branch one:
% 43.76/13.85  																																			| (433) all_0_80_80 = e4
% 43.76/13.85  																																			|
% 43.76/13.85  																																				| Equations (433) can reduce 49 to:
% 43.76/13.85  																																				| (1906)  ~ (all_0_92_92 = e4)
% 43.76/13.85  																																				|
% 43.76/13.85  																																				| Simplifying 1906 yields:
% 43.76/13.85  																																				| (1619)  ~ (all_0_92_92 = e4)
% 43.76/13.85  																																				|
% 43.76/13.85  																																				| Equations (433) can reduce 828 to:
% 43.76/13.85  																																				| (256)  ~ (e4 = e1)
% 43.76/13.85  																																				|
% 43.76/13.85  																																				+-Applying beta-rule and splitting (1928), into two cases.
% 43.76/13.85  																																				|-Branch one:
% 43.76/13.85  																																				| (442) all_0_92_92 = e4
% 43.76/13.85  																																				|
% 43.76/13.85  																																					| Equations (442) can reduce 1619 to:
% 43.76/13.85  																																					| (311) $false
% 43.76/13.85  																																					|
% 43.76/13.85  																																					|-The branch is then unsatisfiable
% 43.76/13.85  																																				|-Branch two:
% 43.76/13.85  																																				| (1619)  ~ (all_0_92_92 = e4)
% 43.76/13.85  																																				| (607) all_0_93_93 = e4
% 43.76/13.85  																																				|
% 43.76/13.85  																																					| Combining equations (607,566) yields a new equation:
% 43.76/13.85  																																					| (813) e4 = e1
% 43.76/13.85  																																					|
% 43.76/13.85  																																					| Simplifying 813 yields:
% 43.76/13.85  																																					| (814) e4 = e1
% 43.76/13.85  																																					|
% 43.76/13.85  																																					| Equations (814) can reduce 256 to:
% 43.76/13.85  																																					| (311) $false
% 43.76/13.85  																																					|
% 43.76/13.85  																																					|-The branch is then unsatisfiable
% 43.76/13.85  																																			|-Branch two:
% 43.76/13.85  																																			| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.85  																																			| (638) all_0_81_81 = e4
% 43.76/13.85  																																			|
% 43.76/13.85  																																				| Equations (638) can reduce 634 to:
% 43.76/13.85  																																				| (311) $false
% 43.76/13.85  																																				|
% 43.76/13.85  																																				|-The branch is then unsatisfiable
% 43.76/13.86  																															|-Branch two:
% 43.76/13.86  																															| (465)  ~ (all_0_82_82 = e4)
% 43.76/13.86  																															| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.76/13.86  																															|
% 43.76/13.86  																																+-Applying beta-rule and splitting (472), into two cases.
% 43.76/13.86  																																|-Branch one:
% 43.76/13.86  																																| (438) all_0_84_84 = e4
% 43.76/13.86  																																|
% 43.76/13.86  																																	| Combining equations (916,438) yields a new equation:
% 43.76/13.86  																																	| (912) e4 = e0
% 43.76/13.86  																																	|
% 43.76/13.86  																																	| Equations (912) can reduce 23 to:
% 43.76/13.86  																																	| (311) $false
% 43.76/13.86  																																	|
% 43.76/13.86  																																	|-The branch is then unsatisfiable
% 43.76/13.86  																																|-Branch two:
% 43.76/13.86  																																| (417)  ~ (all_0_84_84 = e4)
% 43.76/13.86  																																| (493) all_0_85_85 = e4
% 43.76/13.86  																																|
% 43.76/13.86  																																	| Equations (493) can reduce 118 to:
% 43.76/13.86  																																	| (634)  ~ (all_0_81_81 = e4)
% 43.76/13.86  																																	|
% 43.76/13.86  																																	+-Applying beta-rule and splitting (641), into two cases.
% 43.76/13.86  																																	|-Branch one:
% 43.76/13.86  																																	| (433) all_0_80_80 = e4
% 43.76/13.86  																																	|
% 43.76/13.86  																																		| Equations (433) can reduce 144 to:
% 43.76/13.86  																																		| (1730)  ~ (all_0_81_81 = e4)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		| Simplifying 1730 yields:
% 43.76/13.86  																																		| (634)  ~ (all_0_81_81 = e4)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		| Equations (433) can reduce 49 to:
% 43.76/13.86  																																		| (1906)  ~ (all_0_92_92 = e4)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		| Simplifying 1906 yields:
% 43.76/13.86  																																		| (1619)  ~ (all_0_92_92 = e4)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		| Equations (433) can reduce 394 to:
% 43.76/13.86  																																		| (79)  ~ (e4 = e2)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		| Equations (433) can reduce 828 to:
% 43.76/13.86  																																		| (256)  ~ (e4 = e1)
% 43.76/13.86  																																		|
% 43.76/13.86  																																		+-Applying beta-rule and splitting (207), into two cases.
% 43.76/13.86  																																		|-Branch one:
% 43.76/13.86  																																		| (416) all_0_80_80 = e3
% 43.76/13.86  																																		|
% 43.76/13.86  																																			| Combining equations (433,416) yields a new equation:
% 43.76/13.86  																																			| (790) e4 = e3
% 43.76/13.86  																																			|
% 43.76/13.86  																																			| Simplifying 790 yields:
% 43.76/13.86  																																			| (434) e4 = e3
% 43.76/13.86  																																			|
% 43.76/13.86  																																			| Equations (434) can reduce 177 to:
% 43.76/13.86  																																			| (311) $false
% 43.76/13.86  																																			|
% 43.76/13.86  																																			|-The branch is then unsatisfiable
% 43.76/13.86  																																		|-Branch two:
% 43.76/13.86  																																		| (2347)  ~ (all_0_80_80 = e3)
% 43.76/13.86  																																		| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.76/13.86  																																		|
% 43.76/13.86  																																			| Equations (433) can reduce 2347 to:
% 43.76/13.86  																																			| (177)  ~ (e4 = e3)
% 43.76/13.86  																																			|
% 43.76/13.86  																																			+-Applying beta-rule and splitting (46), into two cases.
% 43.76/13.86  																																			|-Branch one:
% 43.76/13.86  																																			| (308) all_0_89_89 = e4
% 43.76/13.86  																																			|
% 43.76/13.86  																																				| Combining equations (292,308) yields a new equation:
% 43.76/13.86  																																				| (310) e4 = e2
% 43.76/13.86  																																				|
% 43.76/13.86  																																				| Equations (310) can reduce 79 to:
% 43.76/13.86  																																				| (311) $false
% 43.76/13.86  																																				|
% 43.76/13.86  																																				|-The branch is then unsatisfiable
% 43.76/13.86  																																			|-Branch two:
% 43.76/13.86  																																			| (312)  ~ (all_0_89_89 = e4)
% 43.76/13.86  																																			| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.76/13.86  																																			|
% 43.76/13.86  																																				+-Applying beta-rule and splitting (1915), into two cases.
% 43.76/13.86  																																				|-Branch one:
% 43.76/13.86  																																				| (583) all_0_90_90 = e4
% 43.76/13.86  																																				|
% 43.76/13.86  																																					| Equations (583) can reduce 229 to:
% 43.76/13.86  																																					| (314)  ~ (all_0_95_95 = e4)
% 43.76/13.86  																																					|
% 43.76/13.86  																																					| Simplifying 314 yields:
% 43.76/13.86  																																					| (315)  ~ (all_0_95_95 = e4)
% 43.76/13.86  																																					|
% 43.76/13.86  																																					+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.86  																																					|-Branch one:
% 43.76/13.86  																																					| (635) all_0_81_81 = e3
% 43.76/13.86  																																					|
% 43.76/13.86  																																						| Equations (635) can reduce 634 to:
% 43.76/13.86  																																						| (783)  ~ (e4 = e3)
% 43.76/13.86  																																						|
% 43.76/13.86  																																						| Simplifying 783 yields:
% 43.76/13.86  																																						| (177)  ~ (e4 = e3)
% 43.76/13.86  																																						|
% 43.76/13.86  																																						| Equations (635) can reduce 396 to:
% 43.76/13.86  																																						| (169)  ~ (e3 = e2)
% 43.76/13.86  																																						|
% 43.76/13.86  																																						| Equations (635) can reduce 257 to:
% 43.76/13.86  																																						| (50)  ~ (e3 = e0)
% 43.76/13.86  																																						|
% 43.76/13.86  																																						+-Applying beta-rule and splitting (171), into two cases.
% 43.76/13.86  																																						|-Branch one:
% 43.76/13.86  																																						| (789) all_0_82_82 = e3
% 43.76/13.86  																																						|
% 43.76/13.86  																																							| Equations (789) can reduce 200 to:
% 43.76/13.86  																																							| (1070)  ~ (all_0_95_95 = e3)
% 43.76/13.86  																																							|
% 43.76/13.86  																																							| Simplifying 1070 yields:
% 43.76/13.86  																																							| (765)  ~ (all_0_95_95 = e3)
% 43.76/13.86  																																							|
% 43.76/13.86  																																							+-Applying beta-rule and splitting (270), into two cases.
% 43.76/13.86  																																							|-Branch one:
% 43.76/13.86  																																							| (744) all_0_95_95 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								| Equations (744) can reduce 765 to:
% 43.76/13.86  																																								| (311) $false
% 43.76/13.86  																																								|
% 43.76/13.86  																																								|-The branch is then unsatisfiable
% 43.76/13.86  																																							|-Branch two:
% 43.76/13.86  																																							| (765)  ~ (all_0_95_95 = e3)
% 43.76/13.86  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								+-Applying beta-rule and splitting (99), into two cases.
% 43.76/13.86  																																								|-Branch one:
% 43.76/13.86  																																								| (767) all_0_95_95 = e2
% 43.76/13.86  																																								|
% 43.76/13.86  																																									| Equations (767) can reduce 355 to:
% 43.76/13.86  																																									| (311) $false
% 43.76/13.86  																																									|
% 43.76/13.86  																																									|-The branch is then unsatisfiable
% 43.76/13.86  																																								|-Branch two:
% 43.76/13.86  																																								| (355)  ~ (all_0_95_95 = e2)
% 43.76/13.86  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 43.76/13.86  																																								|
% 43.76/13.86  																																									+-Applying beta-rule and splitting (770), into two cases.
% 43.76/13.86  																																									|-Branch one:
% 43.76/13.86  																																									| (785) all_0_95_95 = e1
% 43.76/13.86  																																									|
% 43.76/13.86  																																										| Equations (785) can reduce 680 to:
% 43.76/13.86  																																										| (311) $false
% 43.76/13.86  																																										|
% 43.76/13.86  																																										|-The branch is then unsatisfiable
% 43.76/13.86  																																									|-Branch two:
% 43.76/13.86  																																									| (680)  ~ (all_0_95_95 = e1)
% 43.76/13.86  																																									| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 43.76/13.86  																																									|
% 43.76/13.86  																																										+-Applying beta-rule and splitting (853), into two cases.
% 43.76/13.86  																																										|-Branch one:
% 43.76/13.86  																																										| (744) all_0_95_95 = e3
% 43.76/13.86  																																										|
% 43.76/13.86  																																											| Equations (744) can reduce 765 to:
% 43.76/13.86  																																											| (311) $false
% 43.76/13.86  																																											|
% 43.76/13.86  																																											|-The branch is then unsatisfiable
% 43.76/13.86  																																										|-Branch two:
% 43.76/13.86  																																										| (765)  ~ (all_0_95_95 = e3)
% 43.76/13.86  																																										| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 43.76/13.86  																																										|
% 43.76/13.86  																																											+-Applying beta-rule and splitting (857), into two cases.
% 43.76/13.86  																																											|-Branch one:
% 43.76/13.86  																																											| (858) all_0_95_95 = e0
% 43.76/13.86  																																											|
% 43.76/13.86  																																												| Equations (858) can reduce 279 to:
% 43.76/13.86  																																												| (2296)  ~ (all_0_96_96 = e0)
% 43.76/13.86  																																												|
% 43.76/13.86  																																												| Simplifying 2296 yields:
% 43.76/13.86  																																												| (2095)  ~ (all_0_96_96 = e0)
% 43.76/13.86  																																												|
% 43.76/13.86  																																												+-Applying beta-rule and splitting (1400), into two cases.
% 43.76/13.86  																																												|-Branch one:
% 43.76/13.86  																																												| (1456) all_0_91_91 = e0
% 43.76/13.86  																																												|
% 43.76/13.86  																																													| Equations (1456) can reduce 64 to:
% 43.76/13.86  																																													| (2296)  ~ (all_0_96_96 = e0)
% 43.76/13.86  																																													|
% 43.76/13.86  																																													| Simplifying 2296 yields:
% 43.76/13.86  																																													| (2095)  ~ (all_0_96_96 = e0)
% 43.76/13.86  																																													|
% 43.76/13.86  																																													| Equations (1456) can reduce 959 to:
% 43.76/13.86  																																													| (859)  ~ (e1 = e0)
% 43.76/13.86  																																													|
% 43.76/13.86  																																													| Simplifying 859 yields:
% 43.76/13.86  																																													| (264)  ~ (e1 = e0)
% 43.76/13.86  																																													|
% 43.76/13.86  																																													+-Applying beta-rule and splitting (84), into two cases.
% 43.76/13.86  																																													|-Branch one:
% 43.76/13.86  																																													| (1704) all_0_96_96 = e2
% 43.76/13.86  																																													|
% 43.76/13.86  																																														| Equations (1704) can reduce 1638 to:
% 43.76/13.86  																																														| (311) $false
% 43.76/13.86  																																														|
% 43.76/13.86  																																														|-The branch is then unsatisfiable
% 43.76/13.86  																																													|-Branch two:
% 43.76/13.86  																																													| (1638)  ~ (all_0_96_96 = e2)
% 43.76/13.86  																																													| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.76/13.86  																																													|
% 43.76/13.86  																																														+-Applying beta-rule and splitting (1707), into two cases.
% 43.76/13.86  																																														|-Branch one:
% 43.76/13.86  																																														| (960) all_0_96_96 = e1
% 43.76/13.86  																																														|
% 43.76/13.86  																																															| Equations (960) can reduce 1479 to:
% 43.76/13.86  																																															| (311) $false
% 43.76/13.86  																																															|
% 43.76/13.86  																																															|-The branch is then unsatisfiable
% 43.76/13.86  																																														|-Branch two:
% 43.76/13.86  																																														| (1479)  ~ (all_0_96_96 = e1)
% 43.76/13.86  																																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 43.76/13.86  																																														|
% 43.76/13.86  																																															+-Applying beta-rule and splitting (766), into two cases.
% 43.76/13.86  																																															|-Branch one:
% 43.76/13.86  																																															| (778) all_0_96_96 = e3
% 43.76/13.86  																																															|
% 43.76/13.86  																																																| From (778) and (4960) follows:
% 43.76/13.86  																																																| (5343) op(e2, e3) = e0
% 43.76/13.86  																																																|
% 43.76/13.86  																																																| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 43.76/13.86  																																																| (865) e1 = e0
% 43.76/13.86  																																																|
% 43.76/13.86  																																																| Equations (865) can reduce 264 to:
% 43.76/13.86  																																																| (311) $false
% 43.76/13.86  																																																|
% 43.76/13.86  																																																|-The branch is then unsatisfiable
% 43.76/13.86  																																															|-Branch two:
% 43.76/13.86  																																															| (964)  ~ (all_0_96_96 = e3)
% 43.76/13.86  																																															| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 43.76/13.86  																																															|
% 43.76/13.86  																																																+-Applying beta-rule and splitting (2016), into two cases.
% 43.76/13.86  																																																|-Branch one:
% 43.76/13.86  																																																| (778) all_0_96_96 = e3
% 43.76/13.86  																																																|
% 43.76/13.86  																																																	| Equations (778) can reduce 964 to:
% 43.76/13.86  																																																	| (311) $false
% 43.76/13.86  																																																	|
% 43.76/13.86  																																																	|-The branch is then unsatisfiable
% 43.76/13.86  																																																|-Branch two:
% 43.76/13.86  																																																| (964)  ~ (all_0_96_96 = e3)
% 43.76/13.86  																																																| (1837) all_0_96_96 = e0
% 43.76/13.86  																																																|
% 43.76/13.86  																																																	| Equations (1837) can reduce 2095 to:
% 43.76/13.86  																																																	| (311) $false
% 43.76/13.86  																																																	|
% 43.76/13.86  																																																	|-The branch is then unsatisfiable
% 43.76/13.86  																																												|-Branch two:
% 43.76/13.86  																																												| (1487)  ~ (all_0_91_91 = e0)
% 43.76/13.86  																																												| (1837) all_0_96_96 = e0
% 43.76/13.86  																																												|
% 43.76/13.86  																																													| Equations (1837) can reduce 2095 to:
% 43.76/13.86  																																													| (311) $false
% 43.76/13.86  																																													|
% 43.76/13.86  																																													|-The branch is then unsatisfiable
% 43.76/13.86  																																											|-Branch two:
% 43.76/13.86  																																											| (893)  ~ (all_0_95_95 = e0)
% 43.76/13.86  																																											| (894) all_0_95_95 = e4
% 43.76/13.86  																																											|
% 43.76/13.86  																																												| Equations (894) can reduce 315 to:
% 43.76/13.86  																																												| (311) $false
% 43.76/13.86  																																												|
% 43.76/13.86  																																												|-The branch is then unsatisfiable
% 43.76/13.86  																																						|-Branch two:
% 43.76/13.86  																																						| (793)  ~ (all_0_82_82 = e3)
% 43.76/13.86  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.86  																																						|
% 43.76/13.86  																																							+-Applying beta-rule and splitting (220), into two cases.
% 43.76/13.86  																																							|-Branch one:
% 43.76/13.86  																																							| (771) all_0_78_78 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								| Combining equations (400,771) yields a new equation:
% 43.76/13.86  																																								| (548) e3 = e2
% 43.76/13.86  																																								|
% 43.76/13.86  																																								| Equations (548) can reduce 169 to:
% 43.76/13.86  																																								| (311) $false
% 43.76/13.86  																																								|
% 43.76/13.86  																																								|-The branch is then unsatisfiable
% 43.76/13.86  																																							|-Branch two:
% 43.76/13.86  																																							| (418)  ~ (all_0_78_78 = e3)
% 43.76/13.86  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								| Equations (400) can reduce 418 to:
% 43.76/13.86  																																								| (356)  ~ (e3 = e2)
% 43.76/13.86  																																								|
% 43.76/13.86  																																								| Simplifying 356 yields:
% 43.76/13.86  																																								| (169)  ~ (e3 = e2)
% 43.76/13.86  																																								|
% 43.76/13.86  																																								+-Applying beta-rule and splitting (1296), into two cases.
% 43.76/13.86  																																								|-Branch one:
% 43.76/13.86  																																								| (795) all_0_83_83 = e3
% 43.76/13.86  																																								|
% 43.76/13.86  																																									| Combining equations (453,795) yields a new equation:
% 43.76/13.86  																																									| (548) e3 = e2
% 43.76/13.86  																																									|
% 43.76/13.86  																																									| Equations (548) can reduce 169 to:
% 43.76/13.86  																																									| (311) $false
% 43.76/13.86  																																									|
% 43.76/13.86  																																									|-The branch is then unsatisfiable
% 43.76/13.86  																																								|-Branch two:
% 43.76/13.86  																																								| (779)  ~ (all_0_83_83 = e3)
% 43.76/13.86  																																								| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 43.76/13.86  																																								|
% 43.76/13.86  																																									+-Applying beta-rule and splitting (1594), into two cases.
% 43.76/13.86  																																									|-Branch one:
% 43.76/13.86  																																									| (1265) all_0_84_84 = e3
% 43.76/13.86  																																									|
% 43.76/13.86  																																										| Combining equations (916,1265) yields a new equation:
% 43.76/13.86  																																										| (600) e3 = e0
% 43.76/13.86  																																										|
% 43.76/13.86  																																										| Equations (600) can reduce 50 to:
% 43.76/13.86  																																										| (311) $false
% 43.76/13.86  																																										|
% 43.76/13.86  																																										|-The branch is then unsatisfiable
% 43.76/13.86  																																									|-Branch two:
% 43.76/13.86  																																									| (422)  ~ (all_0_84_84 = e3)
% 43.76/13.86  																																									| (804) all_0_85_85 = e3
% 43.76/13.86  																																									|
% 43.76/13.86  																																										| Combining equations (493,804) yields a new equation:
% 43.76/13.86  																																										| (790) e4 = e3
% 43.76/13.86  																																										|
% 43.76/13.86  																																										| Simplifying 790 yields:
% 43.76/13.86  																																										| (434) e4 = e3
% 43.76/13.86  																																										|
% 43.76/13.86  																																										| Equations (434) can reduce 177 to:
% 43.76/13.86  																																										| (311) $false
% 43.76/13.86  																																										|
% 43.76/13.86  																																										|-The branch is then unsatisfiable
% 43.76/13.86  																																					|-Branch two:
% 43.76/13.86  																																					| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.86  																																					| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.86  																																					|
% 43.76/13.86  																																						+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.86  																																						|-Branch one:
% 43.76/13.86  																																						| (804) all_0_85_85 = e3
% 43.76/13.86  																																						|
% 43.76/13.86  																																							| Combining equations (493,804) yields a new equation:
% 43.76/13.86  																																							| (790) e4 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																							| Simplifying 790 yields:
% 43.76/13.86  																																							| (434) e4 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																							| Equations (434) can reduce 177 to:
% 43.76/13.86  																																							| (311) $false
% 43.76/13.86  																																							|
% 43.76/13.86  																																							|-The branch is then unsatisfiable
% 43.76/13.86  																																						|-Branch two:
% 43.76/13.86  																																						| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.86  																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.86  																																						|
% 43.76/13.86  																																							+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.86  																																							|-Branch one:
% 43.76/13.86  																																							| (570) all_0_93_93 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								| Combining equations (566,570) yields a new equation:
% 43.76/13.86  																																								| (772) e3 = e1
% 43.76/13.86  																																								|
% 43.76/13.86  																																								| Equations (772) can reduce 20 to:
% 43.76/13.86  																																								| (311) $false
% 43.76/13.86  																																								|
% 43.76/13.86  																																								|-The branch is then unsatisfiable
% 43.76/13.86  																																							|-Branch two:
% 43.76/13.86  																																							| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.86  																																							| (969) all_0_98_98 = e3
% 43.76/13.86  																																							|
% 43.76/13.86  																																								| Combining equations (969,525) yields a new equation:
% 43.76/13.86  																																								| (547) e3 = e2
% 43.76/13.86  																																								|
% 43.76/13.86  																																								| Simplifying 547 yields:
% 43.76/13.86  																																								| (548) e3 = e2
% 43.76/13.86  																																								|
% 43.76/13.86  																																								| Equations (548) can reduce 169 to:
% 43.76/13.86  																																								| (311) $false
% 43.76/13.86  																																								|
% 43.76/13.86  																																								|-The branch is then unsatisfiable
% 43.76/13.86  																																				|-Branch two:
% 43.76/13.86  																																				| (467)  ~ (all_0_90_90 = e4)
% 43.76/13.86  																																				| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.76/13.86  																																				|
% 43.76/13.86  																																					+-Applying beta-rule and splitting (1928), into two cases.
% 43.76/13.86  																																					|-Branch one:
% 43.76/13.86  																																					| (442) all_0_92_92 = e4
% 43.76/13.86  																																					|
% 43.76/13.86  																																						| Equations (442) can reduce 1619 to:
% 43.76/13.86  																																						| (311) $false
% 43.76/13.86  																																						|
% 43.76/13.86  																																						|-The branch is then unsatisfiable
% 43.76/13.86  																																					|-Branch two:
% 43.76/13.86  																																					| (1619)  ~ (all_0_92_92 = e4)
% 43.76/13.86  																																					| (607) all_0_93_93 = e4
% 43.76/13.86  																																					|
% 43.76/13.86  																																						| Combining equations (607,566) yields a new equation:
% 43.76/13.86  																																						| (813) e4 = e1
% 43.76/13.86  																																						|
% 43.76/13.86  																																						| Simplifying 813 yields:
% 43.76/13.86  																																						| (814) e4 = e1
% 43.76/13.86  																																						|
% 43.76/13.86  																																						| Equations (814) can reduce 256 to:
% 43.76/13.86  																																						| (311) $false
% 43.76/13.86  																																						|
% 43.76/13.86  																																						|-The branch is then unsatisfiable
% 43.76/13.86  																																	|-Branch two:
% 43.76/13.86  																																	| (436)  ~ (all_0_80_80 = e4)
% 43.76/13.86  																																	| (638) all_0_81_81 = e4
% 43.76/13.86  																																	|
% 43.76/13.86  																																		| Equations (638) can reduce 634 to:
% 43.76/13.86  																																		| (311) $false
% 43.76/13.86  																																		|
% 43.76/13.86  																																		|-The branch is then unsatisfiable
% 43.76/13.86  																														|-Branch two:
% 43.76/13.86  																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.76/13.86  																														|
% 43.76/13.86  																															| Applying alpha-rule on (585) yields:
% 43.76/13.86  																															| (586) all_0_62_62 = e3
% 43.76/13.86  																															| (587)  ~ (all_0_63_63 = e1)
% 43.76/13.86  																															|
% 43.76/13.86  																															| Combining equations (586,1413) yields a new equation:
% 43.76/13.86  																															| (825) e3 = e1
% 43.76/13.86  																															|
% 43.76/13.86  																															| Simplifying 825 yields:
% 43.76/13.86  																															| (772) e3 = e1
% 43.76/13.86  																															|
% 43.76/13.86  																															| Equations (772) can reduce 20 to:
% 43.76/13.86  																															| (311) $false
% 43.76/13.86  																															|
% 43.76/13.86  																															|-The branch is then unsatisfiable
% 43.76/13.86  																													|-Branch two:
% 43.76/13.86  																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.76/13.86  																													|
% 43.76/13.86  																														| Applying alpha-rule on (590) yields:
% 43.76/13.86  																														| (591) all_0_64_64 = e2
% 43.76/13.86  																														| (592)  ~ (all_0_65_65 = e1)
% 43.76/13.86  																														|
% 43.76/13.86  																														| Combining equations (9535,591) yields a new equation:
% 43.76/13.86  																														| (14351) all_0_91_91 = e2
% 43.76/13.86  																														|
% 43.76/13.87  																														| Simplifying 14351 yields:
% 43.76/13.87  																														| (1723) all_0_91_91 = e2
% 43.76/13.87  																														|
% 43.76/13.87  																														| Equations (1723) can reduce 296 to:
% 43.76/13.87  																														| (311) $false
% 43.76/13.87  																														|
% 43.76/13.87  																														|-The branch is then unsatisfiable
% 43.76/13.87  																												|-Branch two:
% 43.76/13.87  																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																													| Applying alpha-rule on (596) yields:
% 43.76/13.87  																													| (597) all_0_67_67 = e0
% 43.76/13.87  																													| (598)  ~ (all_0_68_68 = e1)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Combining equations (597,11786) yields a new equation:
% 43.76/13.87  																													| (942) all_0_92_92 = e0
% 43.76/13.87  																													|
% 43.76/13.87  																													| Equations (942) can reduce 946 to:
% 43.76/13.87  																													| (311) $false
% 43.76/13.87  																													|
% 43.76/13.87  																													|-The branch is then unsatisfiable
% 43.76/13.87  																											|-Branch two:
% 43.76/13.87  																											| (919)  ~ (all_0_84_84 = e0)
% 43.76/13.87  																											| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.76/13.87  																											|
% 43.76/13.87  																												+-Applying beta-rule and splitting (249), into two cases.
% 43.76/13.87  																												|-Branch one:
% 43.76/13.87  																												| (910) all_0_82_82 = e0
% 43.76/13.87  																												|
% 43.76/13.87  																													| Equations (910) can reduce 200 to:
% 43.76/13.87  																													| (2712)  ~ (all_0_95_95 = e0)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Simplifying 2712 yields:
% 43.76/13.87  																													| (893)  ~ (all_0_95_95 = e0)
% 43.76/13.87  																													|
% 43.76/13.87  																													+-Applying beta-rule and splitting (102), into two cases.
% 43.76/13.87  																													|-Branch one:
% 43.76/13.87  																													| (858) all_0_95_95 = e0
% 43.76/13.87  																													|
% 43.76/13.87  																														| Equations (858) can reduce 893 to:
% 43.76/13.87  																														| (311) $false
% 43.76/13.87  																														|
% 43.76/13.87  																														|-The branch is then unsatisfiable
% 43.76/13.87  																													|-Branch two:
% 43.76/13.87  																													| (893)  ~ (all_0_95_95 = e0)
% 43.76/13.87  																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 43.76/13.87  																													|
% 43.76/13.87  																														+-Applying beta-rule and splitting (1921), into two cases.
% 43.76/13.87  																														|-Branch one:
% 43.76/13.87  																														| (1837) all_0_96_96 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																															| From (1837) and (268) follows:
% 43.76/13.87  																															| (5798) op(e0, e0) = all_0_59_59
% 43.76/13.87  																															|
% 43.76/13.87  																															| Instantiating formula (262) with e0, e0, all_0_59_59, e2 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e2, yields:
% 43.76/13.87  																															| (5799) all_0_59_59 = e2
% 43.76/13.87  																															|
% 43.76/13.87  																															| Equations (5799) can reduce 4959 to:
% 43.76/13.87  																															| (311) $false
% 43.76/13.87  																															|
% 43.76/13.87  																															|-The branch is then unsatisfiable
% 43.76/13.87  																														|-Branch two:
% 43.76/13.87  																														| (2095)  ~ (all_0_96_96 = e0)
% 43.76/13.87  																														| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																															+-Applying beta-rule and splitting (1400), into two cases.
% 43.76/13.87  																															|-Branch one:
% 43.76/13.87  																															| (1456) all_0_91_91 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																																| Equations (1456) can reduce 296 to:
% 43.76/13.87  																																| (510)  ~ (e2 = e0)
% 43.76/13.87  																																|
% 43.76/13.87  																																| Simplifying 510 yields:
% 43.76/13.87  																																| (76)  ~ (e2 = e0)
% 43.76/13.87  																																|
% 43.76/13.87  																																| Equations (1456) can reduce 959 to:
% 43.76/13.87  																																| (859)  ~ (e1 = e0)
% 43.76/13.87  																																|
% 43.76/13.87  																																| Simplifying 859 yields:
% 43.76/13.87  																																| (264)  ~ (e1 = e0)
% 43.76/13.87  																																|
% 43.76/13.87  																																+-Applying beta-rule and splitting (2096), into two cases.
% 43.76/13.87  																																|-Branch one:
% 43.76/13.87  																																| (560) all_0_97_97 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																	| Combining equations (542,560) yields a new equation:
% 43.76/13.87  																																	| (1107) e1 = e0
% 43.76/13.87  																																	|
% 43.76/13.87  																																	| Simplifying 1107 yields:
% 43.76/13.87  																																	| (865) e1 = e0
% 43.76/13.87  																																	|
% 43.76/13.87  																																	| Equations (865) can reduce 264 to:
% 43.76/13.87  																																	| (311) $false
% 43.76/13.87  																																	|
% 43.76/13.87  																																	|-The branch is then unsatisfiable
% 43.76/13.87  																																|-Branch two:
% 43.76/13.87  																																| (609)  ~ (all_0_97_97 = e0)
% 43.76/13.87  																																| (1121) all_0_98_98 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																	| Combining equations (1121,525) yields a new equation:
% 43.76/13.87  																																	| (379) e2 = e0
% 43.76/13.87  																																	|
% 43.76/13.87  																																	| Equations (379) can reduce 76 to:
% 43.76/13.87  																																	| (311) $false
% 43.76/13.87  																																	|
% 43.76/13.87  																																	|-The branch is then unsatisfiable
% 43.76/13.87  																															|-Branch two:
% 43.76/13.87  																															| (1487)  ~ (all_0_91_91 = e0)
% 43.76/13.87  																															| (1837) all_0_96_96 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																																| Equations (1837) can reduce 2095 to:
% 43.76/13.87  																																| (311) $false
% 43.76/13.87  																																|
% 43.76/13.87  																																|-The branch is then unsatisfiable
% 43.76/13.87  																												|-Branch two:
% 43.76/13.87  																												| (914)  ~ (all_0_82_82 = e0)
% 43.76/13.87  																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.76/13.87  																												|
% 43.76/13.87  																													+-Applying beta-rule and splitting (920), into two cases.
% 43.76/13.87  																													|-Branch one:
% 43.76/13.87  																													| (861) all_0_87_87 = e0
% 43.76/13.87  																													|
% 43.76/13.87  																														| Combining equations (374,861) yields a new equation:
% 43.76/13.87  																														| (923) e2 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																														| Simplifying 923 yields:
% 43.76/13.87  																														| (379) e2 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																														| Equations (379) can reduce 76 to:
% 43.76/13.87  																														| (311) $false
% 43.76/13.87  																														|
% 43.76/13.87  																														|-The branch is then unsatisfiable
% 43.76/13.87  																													|-Branch two:
% 43.76/13.87  																													| (889)  ~ (all_0_87_87 = e0)
% 43.76/13.87  																													| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.76/13.87  																													|
% 43.76/13.87  																														| Equations (374) can reduce 889 to:
% 43.76/13.87  																														| (76)  ~ (e2 = e0)
% 43.76/13.87  																														|
% 43.76/13.87  																														+-Applying beta-rule and splitting (1309), into two cases.
% 43.76/13.87  																														|-Branch one:
% 43.76/13.87  																														| (798) all_0_83_83 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																															| Combining equations (453,798) yields a new equation:
% 43.76/13.87  																															| (923) e2 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																															| Simplifying 923 yields:
% 43.76/13.87  																															| (379) e2 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																															| Equations (379) can reduce 76 to:
% 43.76/13.87  																															| (311) $false
% 43.76/13.87  																															|
% 43.76/13.87  																															|-The branch is then unsatisfiable
% 43.76/13.87  																														|-Branch two:
% 43.76/13.87  																														| (1314)  ~ (all_0_83_83 = e0)
% 43.76/13.87  																														| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.76/13.87  																														|
% 43.76/13.87  																															+-Applying beta-rule and splitting (931), into two cases.
% 43.76/13.87  																															|-Branch one:
% 43.76/13.87  																															| (942) all_0_92_92 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																																| Equations (942) can reduce 87 to:
% 43.76/13.87  																																| (919)  ~ (all_0_84_84 = e0)
% 43.76/13.87  																																|
% 43.76/13.87  																																+-Applying beta-rule and splitting (1315), into two cases.
% 43.76/13.87  																																|-Branch one:
% 43.76/13.87  																																| (916) all_0_84_84 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																	| Equations (916) can reduce 919 to:
% 43.76/13.87  																																	| (311) $false
% 43.76/13.87  																																	|
% 43.76/13.87  																																	|-The branch is then unsatisfiable
% 43.76/13.87  																																|-Branch two:
% 43.76/13.87  																																| (919)  ~ (all_0_84_84 = e0)
% 43.76/13.87  																																| (954) all_0_85_85 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																	| Equations (954) can reduce 800 to:
% 43.76/13.87  																																	| (311) $false
% 43.76/13.87  																																	|
% 43.76/13.87  																																	|-The branch is then unsatisfiable
% 43.76/13.87  																															|-Branch two:
% 43.76/13.87  																															| (946)  ~ (all_0_92_92 = e0)
% 43.76/13.87  																															| (560) all_0_97_97 = e0
% 43.76/13.87  																															|
% 43.76/13.87  																																| Combining equations (560,542) yields a new equation:
% 43.76/13.87  																																| (865) e1 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																| Equations (865) can reduce 264 to:
% 43.76/13.87  																																| (311) $false
% 43.76/13.87  																																|
% 43.76/13.87  																																|-The branch is then unsatisfiable
% 43.76/13.87  																						|-Branch two:
% 43.76/13.87  																						| (461)  ~ (all_0_79_79 = e1)
% 43.76/13.87  																						| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 43.76/13.87  																						|
% 43.76/13.87  																							+-Applying beta-rule and splitting (1623), into two cases.
% 43.76/13.87  																							|-Branch one:
% 43.76/13.87  																							| (457) all_0_79_79 = e1
% 43.76/13.87  																							|
% 43.76/13.87  																								| Equations (457) can reduce 461 to:
% 43.76/13.87  																								| (311) $false
% 43.76/13.87  																								|
% 43.76/13.87  																								|-The branch is then unsatisfiable
% 43.76/13.87  																							|-Branch two:
% 43.76/13.87  																							| (461)  ~ (all_0_79_79 = e1)
% 43.76/13.87  																							| (1708) all_0_79_79 = e3
% 43.76/13.87  																							|
% 43.76/13.87  																								| Equations (1708) can reduce 15 to:
% 43.76/13.87  																								| (419)  ~ (all_0_81_81 = e3)
% 43.76/13.87  																								|
% 43.76/13.87  																								| Simplifying 419 yields:
% 43.76/13.87  																								| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.87  																								|
% 43.76/13.87  																								| Equations (1708) can reduce 1622 to:
% 43.76/13.87  																								| (169)  ~ (e3 = e2)
% 43.76/13.87  																								|
% 43.76/13.87  																								| Equations (1708) can reduce 461 to:
% 43.76/13.87  																								| (20)  ~ (e3 = e1)
% 43.76/13.87  																								|
% 43.76/13.87  																								| From (1708) and (184) follows:
% 43.76/13.87  																								| (11003) op(e2, e3) = all_0_52_52
% 43.76/13.87  																								|
% 43.76/13.87  																								+-Applying beta-rule and splitting (250), into two cases.
% 43.76/13.87  																								|-Branch one:
% 43.76/13.87  																								| (635) all_0_81_81 = e3
% 43.76/13.87  																								|
% 43.76/13.87  																									| Equations (635) can reduce 420 to:
% 43.76/13.87  																									| (311) $false
% 43.76/13.87  																									|
% 43.76/13.87  																									|-The branch is then unsatisfiable
% 43.76/13.87  																								|-Branch two:
% 43.76/13.87  																								| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.87  																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.87  																								|
% 43.76/13.87  																									+-Applying beta-rule and splitting (4488), into two cases.
% 43.76/13.87  																									|-Branch one:
% 43.76/13.87  																									| (804) all_0_85_85 = e3
% 43.76/13.87  																									|
% 43.76/13.87  																										| Equations (804) can reduce 118 to:
% 43.76/13.87  																										| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.87  																										|
% 43.76/13.87  																										| From (804) and (26) follows:
% 43.76/13.87  																										| (1891) op(e0, e3) = all_0_71_71
% 43.76/13.87  																										|
% 43.76/13.87  																										+-Applying beta-rule and splitting (284), into two cases.
% 43.76/13.87  																										|-Branch one:
% 43.76/13.87  																										| (1723) all_0_91_91 = e2
% 43.76/13.87  																										|
% 43.76/13.87  																											| Equations (1723) can reduce 296 to:
% 43.76/13.87  																											| (311) $false
% 43.76/13.87  																											|
% 43.76/13.87  																											|-The branch is then unsatisfiable
% 43.76/13.87  																										|-Branch two:
% 43.76/13.87  																										| (296)  ~ (all_0_91_91 = e2)
% 43.76/13.87  																										| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.76/13.87  																										|
% 43.76/13.87  																											+-Applying beta-rule and splitting (462), into two cases.
% 43.76/13.87  																											|-Branch one:
% 43.76/13.87  																											| (801) all_0_91_91 = e1
% 43.76/13.87  																											|
% 43.76/13.87  																												| Equations (801) can reduce 959 to:
% 43.76/13.87  																												| (311) $false
% 43.76/13.87  																												|
% 43.76/13.87  																												|-The branch is then unsatisfiable
% 43.76/13.87  																											|-Branch two:
% 43.76/13.87  																											| (959)  ~ (all_0_91_91 = e1)
% 43.76/13.87  																											| (960) all_0_96_96 = e1
% 43.76/13.87  																											|
% 43.76/13.87  																												| Equations (960) can reduce 64 to:
% 43.76/13.87  																												| (959)  ~ (all_0_91_91 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																												| Equations (960) can reduce 22 to:
% 43.76/13.87  																												| (485)  ~ (all_0_97_97 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																												| Simplifying 485 yields:
% 43.76/13.87  																												| (486)  ~ (all_0_97_97 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																												| Equations (960) can reduce 1638 to:
% 43.76/13.87  																												| (487)  ~ (e2 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																												| Simplifying 487 yields:
% 43.76/13.87  																												| (243)  ~ (e2 = e1)
% 43.76/13.87  																												|
% 43.76/13.87  																												| From (960) and (212) follows:
% 43.76/13.87  																												| (15809) op(e2, e1) = all_0_58_58
% 43.76/13.87  																												|
% 43.76/13.87  																												+-Applying beta-rule and splitting (151), into two cases.
% 43.76/13.87  																												|-Branch one:
% 43.76/13.87  																												| (824) all_0_80_80 = e1
% 43.76/13.87  																												|
% 43.76/13.87  																													| Equations (824) can reduce 144 to:
% 43.76/13.87  																													| (1667)  ~ (all_0_81_81 = e1)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Simplifying 1667 yields:
% 43.76/13.87  																													| (628)  ~ (all_0_81_81 = e1)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Equations (824) can reduce 202 to:
% 43.76/13.87  																													| (485)  ~ (all_0_97_97 = e1)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Simplifying 485 yields:
% 43.76/13.87  																													| (486)  ~ (all_0_97_97 = e1)
% 43.76/13.87  																													|
% 43.76/13.87  																													| Equations (824) can reduce 166 to:
% 43.76/13.87  																													| (264)  ~ (e1 = e0)
% 43.76/13.87  																													|
% 43.76/13.87  																													+-Applying beta-rule and splitting (123), into two cases.
% 43.76/13.87  																													|-Branch one:
% 43.76/13.87  																													| (473) all_0_81_81 = e2
% 43.76/13.87  																													|
% 43.76/13.87  																														| Equations (473) can reduce 396 to:
% 43.76/13.87  																														| (311) $false
% 43.76/13.87  																														|
% 43.76/13.87  																														|-The branch is then unsatisfiable
% 43.76/13.87  																													|-Branch two:
% 43.76/13.87  																													| (396)  ~ (all_0_81_81 = e2)
% 43.76/13.87  																													| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 43.76/13.87  																													|
% 43.76/13.87  																														+-Applying beta-rule and splitting (476), into two cases.
% 43.76/13.87  																														|-Branch one:
% 43.76/13.87  																														| (477) all_0_81_81 = e1
% 43.76/13.87  																														|
% 43.76/13.87  																															| Equations (477) can reduce 628 to:
% 43.76/13.87  																															| (311) $false
% 43.76/13.87  																															|
% 43.76/13.87  																															|-The branch is then unsatisfiable
% 43.76/13.87  																														|-Branch two:
% 43.76/13.87  																														| (628)  ~ (all_0_81_81 = e1)
% 43.76/13.87  																														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 43.76/13.87  																														|
% 43.76/13.87  																															+-Applying beta-rule and splitting (629), into two cases.
% 43.76/13.87  																															|-Branch one:
% 43.76/13.87  																															| (635) all_0_81_81 = e3
% 43.76/13.87  																															|
% 43.76/13.87  																																| Equations (635) can reduce 420 to:
% 43.76/13.87  																																| (311) $false
% 43.76/13.87  																																|
% 43.76/13.87  																																|-The branch is then unsatisfiable
% 43.76/13.87  																															|-Branch two:
% 43.76/13.87  																															| (420)  ~ (all_0_81_81 = e3)
% 43.76/13.87  																															| (638) all_0_81_81 = e4
% 43.76/13.87  																															|
% 43.76/13.87  																																| Equations (638) can reduce 628 to:
% 43.76/13.87  																																| (256)  ~ (e4 = e1)
% 43.76/13.87  																																|
% 43.76/13.87  																																| From (638) and (68) follows:
% 43.76/13.87  																																| (657) op(e4, e4) = all_0_70_70
% 43.76/13.87  																																|
% 43.76/13.87  																																+-Applying beta-rule and splitting (1726), into two cases.
% 43.76/13.87  																																|-Branch one:
% 43.76/13.87  																																| (801) all_0_91_91 = e1
% 43.76/13.87  																																|
% 43.76/13.87  																																	| Equations (801) can reduce 959 to:
% 43.76/13.87  																																	| (311) $false
% 43.76/13.87  																																	|
% 43.76/13.87  																																	|-The branch is then unsatisfiable
% 43.76/13.87  																																|-Branch two:
% 43.76/13.87  																																| (959)  ~ (all_0_91_91 = e1)
% 43.76/13.87  																																| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.76/13.87  																																|
% 43.76/13.87  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 43.76/13.87  																																	|-Branch one:
% 43.76/13.87  																																	| (1456) all_0_91_91 = e0
% 43.76/13.87  																																	|
% 43.76/13.87  																																		| Equations (1456) can reduce 296 to:
% 43.76/13.87  																																		| (510)  ~ (e2 = e0)
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| Simplifying 510 yields:
% 43.76/13.87  																																		| (76)  ~ (e2 = e0)
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| Equations (1456) can reduce 959 to:
% 43.76/13.87  																																		| (859)  ~ (e1 = e0)
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| Simplifying 859 yields:
% 43.76/13.87  																																		| (264)  ~ (e1 = e0)
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| From (1456) and (222) follows:
% 43.76/13.87  																																		| (8259) op(e2, e0) = all_0_56_56
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 43.76/13.87  																																		| (686) all_0_70_70 = e0
% 43.76/13.87  																																		|
% 43.76/13.87  																																		| Instantiating formula (262) with e2, e3, all_0_52_52, e1 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e1, yields:
% 43.76/13.88  																																		| (15841) all_0_52_52 = e1
% 43.76/13.88  																																		|
% 43.76/13.88  																																		| Instantiating formula (262) with e2, e1, all_0_58_58, e2 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e2, yields:
% 43.76/13.88  																																		| (15842) all_0_58_58 = e2
% 43.76/13.88  																																		|
% 43.76/13.88  																																		| Instantiating formula (262) with e2, e0, all_0_56_56, e0 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e0, yields:
% 43.76/13.88  																																		| (10959) all_0_56_56 = e0
% 43.76/13.88  																																		|
% 43.76/13.88  																																		| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 43.76/13.88  																																		| (14316) all_0_71_71 = all_0_95_95
% 43.76/13.88  																																		|
% 43.76/13.88  																																		+-Applying beta-rule and splitting (89), into two cases.
% 43.76/13.88  																																		|-Branch one:
% 43.76/13.88  																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.76/13.88  																																		|
% 43.76/13.88  																																			+-Applying beta-rule and splitting (1373), into two cases.
% 43.76/13.88  																																			|-Branch one:
% 43.76/13.88  																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.76/13.88  																																			|
% 43.76/13.88  																																				+-Applying beta-rule and splitting (1374), into two cases.
% 43.76/13.88  																																				|-Branch one:
% 43.76/13.88  																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.76/13.88  																																				|
% 43.76/13.88  																																					| Applying alpha-rule on (1375) yields:
% 43.76/13.88  																																					| (1376) all_0_69_69 = e4
% 43.76/13.88  																																					| (1377)  ~ (all_0_70_70 = e0)
% 43.76/13.88  																																					|
% 43.76/13.88  																																					| Equations (686) can reduce 1377 to:
% 43.76/13.88  																																					| (311) $false
% 43.76/13.88  																																					|
% 43.76/13.88  																																					|-The branch is then unsatisfiable
% 43.76/13.88  																																				|-Branch two:
% 43.76/13.88  																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.76/13.88  																																				|
% 43.76/13.88  																																					| Applying alpha-rule on (1379) yields:
% 43.76/13.88  																																					| (1380) all_0_71_71 = e3
% 43.76/13.88  																																					| (1381)  ~ (all_0_72_72 = e0)
% 43.76/13.88  																																					|
% 43.76/13.88  																																					| Combining equations (14316,1380) yields a new equation:
% 43.76/13.88  																																					| (15854) all_0_95_95 = e3
% 43.76/13.88  																																					|
% 43.76/13.88  																																					| Simplifying 15854 yields:
% 43.76/13.88  																																					| (744) all_0_95_95 = e3
% 43.76/13.88  																																					|
% 43.76/13.88  																																					| Equations (744) can reduce 315 to:
% 43.76/13.88  																																					| (783)  ~ (e4 = e3)
% 43.76/13.88  																																					|
% 43.76/13.88  																																					| Simplifying 783 yields:
% 43.76/13.88  																																					| (177)  ~ (e4 = e3)
% 43.76/13.88  																																					|
% 43.76/13.88  																																					+-Applying beta-rule and splitting (33), into two cases.
% 43.76/13.88  																																					|-Branch one:
% 43.76/13.88  																																					| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.76/13.88  																																					|
% 43.76/13.88  																																						+-Applying beta-rule and splitting (1686), into two cases.
% 43.76/13.88  																																						|-Branch one:
% 43.76/13.88  																																						| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.76/13.88  																																						|
% 43.76/13.88  																																							+-Applying beta-rule and splitting (1687), into two cases.
% 43.76/13.88  																																							|-Branch one:
% 43.76/13.88  																																							| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.76/13.88  																																							|
% 43.76/13.88  																																								| Applying alpha-rule on (1688) yields:
% 43.76/13.88  																																								| (1689) all_0_52_52 = e4
% 43.76/13.88  																																								| (1690)  ~ (all_0_53_53 = e2)
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Combining equations (1689,15841) yields a new equation:
% 43.76/13.88  																																								| (813) e4 = e1
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Simplifying 813 yields:
% 43.76/13.88  																																								| (814) e4 = e1
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Equations (814) can reduce 256 to:
% 43.76/13.88  																																								| (311) $false
% 43.76/13.88  																																								|
% 43.76/13.88  																																								|-The branch is then unsatisfiable
% 43.76/13.88  																																							|-Branch two:
% 43.76/13.88  																																							| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.76/13.88  																																							|
% 43.76/13.88  																																								| Applying alpha-rule on (1694) yields:
% 43.76/13.88  																																								| (1695) all_0_54_54 = e3
% 43.76/13.88  																																								| (1696)  ~ (all_0_55_55 = e2)
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Combining equations (1647,1695) yields a new equation:
% 43.76/13.88  																																								| (790) e4 = e3
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Simplifying 790 yields:
% 43.76/13.88  																																								| (434) e4 = e3
% 43.76/13.88  																																								|
% 43.76/13.88  																																								| Equations (434) can reduce 177 to:
% 43.76/13.88  																																								| (311) $false
% 43.76/13.88  																																								|
% 43.76/13.88  																																								|-The branch is then unsatisfiable
% 43.76/13.88  																																						|-Branch two:
% 43.76/13.88  																																						| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.76/13.88  																																						|
% 43.76/13.88  																																							| Applying alpha-rule on (1700) yields:
% 43.76/13.88  																																							| (1701) all_0_56_56 = e1
% 43.76/13.88  																																							| (1702)  ~ (all_0_57_57 = e2)
% 43.76/13.88  																																							|
% 43.76/13.88  																																							| Combining equations (1701,10959) yields a new equation:
% 43.76/13.88  																																							| (1107) e1 = e0
% 43.76/13.88  																																							|
% 43.76/13.88  																																							| Simplifying 1107 yields:
% 43.76/13.88  																																							| (865) e1 = e0
% 43.76/13.88  																																							|
% 43.76/13.88  																																							| Equations (865) can reduce 264 to:
% 43.76/13.88  																																							| (311) $false
% 43.76/13.88  																																							|
% 43.76/13.88  																																							|-The branch is then unsatisfiable
% 43.76/13.88  																																					|-Branch two:
% 43.76/13.88  																																					| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.76/13.88  																																					|
% 43.76/13.88  																																						| Applying alpha-rule on (4957) yields:
% 43.76/13.88  																																						| (4958) all_0_58_58 = e0
% 43.76/13.88  																																						| (4959)  ~ (all_0_59_59 = e2)
% 43.76/13.88  																																						|
% 43.76/13.88  																																						| Combining equations (15842,4958) yields a new equation:
% 43.76/13.88  																																						| (923) e2 = e0
% 43.76/13.88  																																						|
% 43.76/13.88  																																						| Simplifying 923 yields:
% 43.76/13.88  																																						| (379) e2 = e0
% 43.76/13.88  																																						|
% 43.76/13.88  																																						| Equations (379) can reduce 76 to:
% 43.76/13.88  																																						| (311) $false
% 43.76/13.88  																																						|
% 43.76/13.88  																																						|-The branch is then unsatisfiable
% 43.76/13.88  																																			|-Branch two:
% 43.76/13.88  																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.76/13.88  																																			|
% 43.76/13.88  																																				| Applying alpha-rule on (1385) yields:
% 43.76/13.88  																																				| (1386) all_0_73_73 = e2
% 43.76/13.88  																																				| (1387)  ~ (all_0_74_74 = e0)
% 43.76/13.88  																																				|
% 43.76/13.88  																																				| Equations (1965) can reduce 1387 to:
% 43.76/13.88  																																				| (311) $false
% 43.76/13.88  																																				|
% 43.76/13.88  																																				|-The branch is then unsatisfiable
% 43.76/13.88  																																		|-Branch two:
% 43.76/13.88  																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.76/13.88  																																		|
% 43.76/13.88  																																			| Applying alpha-rule on (1391) yields:
% 43.76/13.88  																																			| (1392) all_0_75_75 = e1
% 43.76/13.88  																																			| (1393)  ~ (all_0_76_76 = e0)
% 43.76/13.88  																																			|
% 43.76/13.88  																																			| Combining equations (14725,1392) yields a new equation:
% 43.76/13.88  																																			| (15891) all_0_97_97 = e1
% 43.76/13.88  																																			|
% 43.76/13.88  																																			| Simplifying 15891 yields:
% 43.76/13.88  																																			| (542) all_0_97_97 = e1
% 43.76/13.88  																																			|
% 43.76/13.88  																																			| Equations (542) can reduce 486 to:
% 43.76/13.88  																																			| (311) $false
% 43.76/13.88  																																			|
% 43.76/13.88  																																			|-The branch is then unsatisfiable
% 43.76/13.88  																																	|-Branch two:
% 43.76/13.88  																																	| (1487)  ~ (all_0_91_91 = e0)
% 43.76/13.88  																																	| (1837) all_0_96_96 = e0
% 43.76/13.88  																																	|
% 43.76/13.88  																																		| Combining equations (960,1837) yields a new equation:
% 43.76/13.88  																																		| (1107) e1 = e0
% 43.76/13.88  																																		|
% 43.76/13.88  																																		| Simplifying 1107 yields:
% 43.76/13.88  																																		| (865) e1 = e0
% 43.76/13.88  																																		|
% 43.76/13.88  																																		| Equations (865) can reduce 264 to:
% 43.76/13.88  																																		| (311) $false
% 43.76/13.88  																																		|
% 43.76/13.88  																																		|-The branch is then unsatisfiable
% 43.76/13.88  																												|-Branch two:
% 43.76/13.88  																												| (828)  ~ (all_0_80_80 = e1)
% 43.76/13.88  																												| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.76/13.88  																												|
% 43.76/13.88  																													+-Applying beta-rule and splitting (829), into two cases.
% 43.76/13.88  																													|-Branch one:
% 43.76/13.88  																													| (482) all_0_87_87 = e1
% 43.76/13.88  																													|
% 43.76/13.88  																														| Combining equations (482,374) yields a new equation:
% 43.76/13.88  																														| (385) e2 = e1
% 43.76/13.88  																														|
% 43.76/13.88  																														| Equations (385) can reduce 243 to:
% 43.76/13.88  																														| (311) $false
% 43.76/13.88  																														|
% 43.76/13.88  																														|-The branch is then unsatisfiable
% 43.76/13.88  																													|-Branch two:
% 43.76/13.88  																													| (625)  ~ (all_0_87_87 = e1)
% 43.76/13.88  																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 43.76/13.88  																													|
% 43.76/13.88  																														+-Applying beta-rule and splitting (835), into two cases.
% 43.76/13.88  																														|-Branch one:
% 43.76/13.89  																														| (836) all_0_92_92 = e1
% 43.76/13.89  																														|
% 43.76/13.89  																															| Equations (836) can reduce 840 to:
% 43.76/13.89  																															| (311) $false
% 43.76/13.89  																															|
% 43.76/13.89  																															|-The branch is then unsatisfiable
% 43.76/13.89  																														|-Branch two:
% 43.76/13.89  																														| (840)  ~ (all_0_92_92 = e1)
% 43.76/13.89  																														| (542) all_0_97_97 = e1
% 43.76/13.89  																														|
% 43.76/13.89  																															| Equations (542) can reduce 486 to:
% 43.76/13.89  																															| (311) $false
% 43.76/13.89  																															|
% 43.76/13.89  																															|-The branch is then unsatisfiable
% 43.76/13.89  																									|-Branch two:
% 43.76/13.89  																									| (952)  ~ (all_0_85_85 = e3)
% 43.76/13.89  																									| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.76/13.89  																									|
% 43.76/13.89  																										+-Applying beta-rule and splitting (4559), into two cases.
% 43.76/13.89  																										|-Branch one:
% 43.76/13.89  																										| (570) all_0_93_93 = e3
% 43.76/13.89  																										|
% 43.76/13.89  																											| Combining equations (566,570) yields a new equation:
% 43.76/13.89  																											| (772) e3 = e1
% 43.76/13.89  																											|
% 43.76/13.89  																											| Equations (772) can reduce 20 to:
% 43.76/13.89  																											| (311) $false
% 43.76/13.89  																											|
% 43.76/13.89  																											|-The branch is then unsatisfiable
% 43.76/13.89  																										|-Branch two:
% 43.76/13.89  																										| (602)  ~ (all_0_93_93 = e3)
% 43.76/13.89  																										| (969) all_0_98_98 = e3
% 43.76/13.89  																										|
% 43.76/13.89  																											| Combining equations (525,969) yields a new equation:
% 43.76/13.89  																											| (548) e3 = e2
% 43.76/13.89  																											|
% 43.76/13.89  																											| Equations (548) can reduce 169 to:
% 43.76/13.89  																											| (311) $false
% 43.76/13.89  																											|
% 43.76/13.89  																											|-The branch is then unsatisfiable
% 43.76/13.89  																					|-Branch two:
% 43.76/13.89  																					| (481)  ~ (all_0_93_93 = e1)
% 43.76/13.89  																					| (1543) all_0_98_98 = e1
% 43.76/13.89  																					|
% 43.76/13.89  																						| Combining equations (1543,525) yields a new equation:
% 43.76/13.89  																						| (385) e2 = e1
% 43.76/13.89  																						|
% 43.76/13.89  																						| Equations (385) can reduce 243 to:
% 43.76/13.89  																						| (311) $false
% 43.76/13.89  																						|
% 43.76/13.89  																						|-The branch is then unsatisfiable
% 43.76/13.89  													|-Branch two:
% 43.76/13.89  													| (346)  ~ (all_0_78_78 = e2)
% 43.76/13.89  													| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 43.76/13.89  													|
% 43.76/13.89  														+-Applying beta-rule and splitting (1658), into two cases.
% 43.76/13.89  														|-Branch one:
% 43.76/13.89  														| (390) all_0_79_79 = e2
% 43.76/13.89  														|
% 43.76/13.89  															| Equations (390) can reduce 1622 to:
% 43.76/13.89  															| (311) $false
% 43.76/13.89  															|
% 43.76/13.89  															|-The branch is then unsatisfiable
% 43.76/13.89  														|-Branch two:
% 43.76/13.89  														| (1622)  ~ (all_0_79_79 = e2)
% 43.76/13.89  														| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 43.76/13.89  														|
% 43.76/13.89  															+-Applying beta-rule and splitting (3249), into two cases.
% 43.76/13.89  															|-Branch one:
% 43.76/13.89  															| (546) all_0_80_80 = e2
% 43.76/13.89  															|
% 43.76/13.89  																| Equations (546) can reduce 394 to:
% 43.76/13.89  																| (311) $false
% 43.76/13.89  																|
% 43.76/13.89  																|-The branch is then unsatisfiable
% 43.76/13.89  															|-Branch two:
% 43.76/13.89  															| (394)  ~ (all_0_80_80 = e2)
% 43.76/13.89  															| (473) all_0_81_81 = e2
% 43.76/13.89  															|
% 43.76/13.89  																| Equations (473) can reduce 15 to:
% 43.76/13.89  																| (1622)  ~ (all_0_79_79 = e2)
% 43.76/13.89  																|
% 43.76/13.89  																| Equations (473) can reduce 144 to:
% 43.76/13.89  																| (394)  ~ (all_0_80_80 = e2)
% 43.76/13.89  																|
% 43.76/13.89  																| Equations (473) can reduce 118 to:
% 43.76/13.89  																| (691)  ~ (all_0_85_85 = e2)
% 43.76/13.89  																|
% 43.76/13.89  																| Simplifying 691 yields:
% 43.76/13.89  																| (515)  ~ (all_0_85_85 = e2)
% 43.76/13.89  																|
% 43.76/13.89  																| Equations (473) can reduce 5 to:
% 43.76/13.89  																| (1348)  ~ (all_0_98_98 = e2)
% 43.90/13.89  																|
% 43.90/13.89  																| Simplifying 1348 yields:
% 43.90/13.89  																| (1349)  ~ (all_0_98_98 = e2)
% 43.90/13.89  																|
% 43.90/13.89  																| Equations (473) can reduce 257 to:
% 43.90/13.89  																| (76)  ~ (e2 = e0)
% 43.90/13.89  																|
% 43.90/13.89  																| From (473) and (145) follows:
% 43.90/13.89  																| (1751) op(e0, e2) = all_0_69_69
% 43.90/13.89  																|
% 43.90/13.89  																+-Applying beta-rule and splitting (97), into two cases.
% 43.90/13.89  																|-Branch one:
% 43.90/13.89  																| (1757) all_0_94_94 = e2
% 43.90/13.89  																|
% 43.90/13.89  																	| Combining equations (1757,313) yields a new equation:
% 43.90/13.89  																	| (310) e4 = e2
% 43.90/13.89  																	|
% 43.90/13.89  																	| Equations (310) can reduce 79 to:
% 43.90/13.89  																	| (311) $false
% 43.90/13.89  																	|
% 43.90/13.89  																	|-The branch is then unsatisfiable
% 43.90/13.89  																|-Branch two:
% 43.90/13.89  																| (1761)  ~ (all_0_94_94 = e2)
% 43.90/13.89  																| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 43.90/13.89  																|
% 43.90/13.89  																	+-Applying beta-rule and splitting (1762), into two cases.
% 43.90/13.89  																	|-Branch one:
% 43.90/13.89  																	| (767) all_0_95_95 = e2
% 43.90/13.89  																	|
% 43.90/13.89  																		| Equations (767) can reduce 125 to:
% 43.90/13.89  																		| (346)  ~ (all_0_78_78 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 200 to:
% 43.90/13.89  																		| (347)  ~ (all_0_82_82 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 229 to:
% 43.90/13.89  																		| (294)  ~ (all_0_90_90 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 279 to:
% 43.90/13.89  																		| (1637)  ~ (all_0_96_96 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Simplifying 1637 yields:
% 43.90/13.89  																		| (1638)  ~ (all_0_96_96 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 107 to:
% 43.90/13.89  																		| (1348)  ~ (all_0_98_98 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Simplifying 1348 yields:
% 43.90/13.89  																		| (1349)  ~ (all_0_98_98 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 315 to:
% 43.90/13.89  																		| (528)  ~ (e4 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Simplifying 528 yields:
% 43.90/13.89  																		| (79)  ~ (e4 = e2)
% 43.90/13.89  																		|
% 43.90/13.89  																		| Equations (767) can reduce 680 to:
% 43.90/13.89  																		| (243)  ~ (e2 = e1)
% 43.90/13.89  																		|
% 43.90/13.89  																		| From (767) and (121) follows:
% 43.90/13.89  																		| (13435) op(e3, e2) = all_0_50_50
% 43.90/13.89  																		|
% 43.90/13.89  																		| From (767) and (280) follows:
% 43.90/13.89  																		| (9703) op(e0, e2) = all_0_51_51
% 43.90/13.89  																		|
% 43.90/13.89  																		| Instantiating formula (262) with e3, e2, all_0_50_50, e2 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = e2, yields:
% 43.90/13.89  																		| (13437) all_0_50_50 = e2
% 43.90/13.89  																		|
% 43.90/13.89  																		| Instantiating formula (262) with e0, e2, all_0_51_51, all_0_96_96 and discharging atoms op(e0, e2) = all_0_51_51, op(e0, e2) = all_0_96_96, yields:
% 43.90/13.89  																		| (15961) all_0_51_51 = all_0_96_96
% 43.90/13.89  																		|
% 43.90/13.89  																		| Instantiating formula (262) with e0, e2, all_0_69_69, all_0_51_51 and discharging atoms op(e0, e2) = all_0_51_51, op(e0, e2) = all_0_69_69, yields:
% 43.90/13.89  																		| (15962) all_0_51_51 = all_0_69_69
% 43.90/13.89  																		|
% 43.90/13.89  																		| Combining equations (15961,15962) yields a new equation:
% 43.90/13.89  																		| (1794) all_0_69_69 = all_0_96_96
% 43.90/13.89  																		|
% 43.90/13.89  																		+-Applying beta-rule and splitting (56), into two cases.
% 43.90/13.89  																		|-Branch one:
% 43.90/13.89  																		| (463) all_0_78_78 = e4
% 43.90/13.89  																		|
% 43.90/13.89  																			| Equations (463) can reduce 193 to:
% 43.90/13.89  																			| (464)  ~ (all_0_82_82 = e4)
% 43.90/13.89  																			|
% 43.90/13.89  																			| Simplifying 464 yields:
% 43.90/13.89  																			| (465)  ~ (all_0_82_82 = e4)
% 43.90/13.89  																			|
% 43.90/13.89  																			| Equations (463) can reduce 1601 to:
% 43.90/13.89  																			| (256)  ~ (e4 = e1)
% 43.90/13.89  																			|
% 43.90/13.89  																			| From (463) and (138) follows:
% 43.90/13.89  																			| (12255) op(e3, e4) = all_0_43_43
% 43.90/13.89  																			|
% 43.90/13.89  																			| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 43.90/13.89  																			| (12276) all_0_43_43 = e1
% 43.90/13.89  																			|
% 43.90/13.89  																			+-Applying beta-rule and splitting (186), into two cases.
% 43.90/13.89  																			|-Branch one:
% 43.90/13.89  																			| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.90/13.89  																			|
% 43.90/13.89  																				+-Applying beta-rule and splitting (726), into two cases.
% 43.90/13.89  																				|-Branch one:
% 43.90/13.89  																				| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.90/13.89  																				|
% 43.90/13.89  																					+-Applying beta-rule and splitting (727), into two cases.
% 43.90/13.89  																					|-Branch one:
% 43.90/13.89  																					| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.90/13.89  																					|
% 43.90/13.89  																						| Applying alpha-rule on (728) yields:
% 43.90/13.89  																						| (729) all_0_43_43 = e4
% 43.90/13.89  																						| (730)  ~ (all_0_44_44 = e3)
% 43.90/13.89  																						|
% 43.90/13.89  																						| Combining equations (729,12276) yields a new equation:
% 43.90/13.89  																						| (813) e4 = e1
% 43.90/13.89  																						|
% 43.90/13.89  																						| Simplifying 813 yields:
% 43.90/13.89  																						| (814) e4 = e1
% 43.90/13.89  																						|
% 43.90/13.89  																						| Equations (814) can reduce 256 to:
% 43.90/13.89  																						| (311) $false
% 43.90/13.89  																						|
% 43.90/13.89  																						|-The branch is then unsatisfiable
% 43.90/13.89  																					|-Branch two:
% 43.90/13.89  																					| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.90/13.89  																					|
% 43.90/13.89  																						| Applying alpha-rule on (734) yields:
% 43.90/13.89  																						| (735) all_0_46_46 = e2
% 43.90/13.89  																						| (736)  ~ (all_0_47_47 = e3)
% 43.90/13.89  																						|
% 43.90/13.89  																						| Combining equations (13664,735) yields a new equation:
% 43.90/13.89  																						| (15981) all_0_84_84 = e2
% 43.90/13.89  																						|
% 43.90/13.89  																						| Simplifying 15981 yields:
% 43.90/13.89  																						| (552) all_0_84_84 = e2
% 43.90/13.89  																						|
% 43.90/13.89  																						| Equations (552) can reduce 612 to:
% 43.90/13.89  																						| (311) $false
% 43.90/13.89  																						|
% 43.90/13.89  																						|-The branch is then unsatisfiable
% 43.90/13.89  																				|-Branch two:
% 43.90/13.90  																				| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.90/13.90  																				|
% 43.90/13.90  																					| Applying alpha-rule on (740) yields:
% 43.90/13.90  																					| (741) all_0_48_48 = e1
% 43.90/13.90  																					| (742)  ~ (all_0_49_49 = e3)
% 43.90/13.90  																					|
% 43.90/13.90  																					| From (741) and (217) follows:
% 43.90/13.90  																					| (743) op(e3, all_0_90_90) = e1
% 43.90/13.90  																					|
% 43.90/13.90  																					+-Applying beta-rule and splitting (109), into two cases.
% 43.90/13.90  																					|-Branch one:
% 43.90/13.90  																					| (469) all_0_82_82 = e4
% 43.90/13.90  																					|
% 43.90/13.90  																						| Equations (469) can reduce 465 to:
% 43.90/13.90  																						| (311) $false
% 43.90/13.90  																						|
% 43.90/13.90  																						|-The branch is then unsatisfiable
% 43.90/13.90  																					|-Branch two:
% 43.90/13.90  																					| (465)  ~ (all_0_82_82 = e4)
% 43.90/13.90  																					| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.90/13.90  																					|
% 43.90/13.90  																						+-Applying beta-rule and splitting (254), into two cases.
% 43.90/13.90  																						|-Branch one:
% 43.90/13.90  																						| (910) all_0_82_82 = e0
% 43.90/13.90  																						|
% 43.90/13.90  																							| Equations (910) can reduce 198 to:
% 43.90/13.90  																							| (859)  ~ (e1 = e0)
% 43.90/13.90  																							|
% 43.90/13.90  																							| Simplifying 859 yields:
% 43.90/13.90  																							| (264)  ~ (e1 = e0)
% 43.90/13.90  																							|
% 43.90/13.90  																							| From (910) and (61) follows:
% 43.90/13.90  																							| (979) op(e3, e3) = e0
% 43.90/13.90  																							|
% 43.90/13.90  																							+-Applying beta-rule and splitting (27), into two cases.
% 43.90/13.90  																							|-Branch one:
% 43.90/13.90  																							| (746) all_0_90_90 = e2
% 43.90/13.90  																							|
% 43.90/13.90  																								| Equations (746) can reduce 294 to:
% 43.90/13.90  																								| (311) $false
% 43.90/13.90  																								|
% 43.90/13.90  																								|-The branch is then unsatisfiable
% 43.90/13.90  																							|-Branch two:
% 43.90/13.90  																							| (294)  ~ (all_0_90_90 = e2)
% 43.90/13.90  																							| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.90/13.90  																							|
% 43.90/13.90  																								+-Applying beta-rule and splitting (220), into two cases.
% 43.90/13.90  																								|-Branch one:
% 43.90/13.90  																								| (771) all_0_78_78 = e3
% 43.90/13.90  																								|
% 43.90/13.90  																									| Combining equations (463,771) yields a new equation:
% 43.90/13.90  																									| (790) e4 = e3
% 43.90/13.90  																									|
% 43.90/13.90  																									| Simplifying 790 yields:
% 43.90/13.90  																									| (434) e4 = e3
% 43.90/13.90  																									|
% 43.90/13.90  																									| Equations (434) can reduce 177 to:
% 43.90/13.90  																									| (311) $false
% 43.90/13.90  																									|
% 43.90/13.90  																									|-The branch is then unsatisfiable
% 43.90/13.90  																								|-Branch two:
% 43.90/13.90  																								| (418)  ~ (all_0_78_78 = e3)
% 43.90/13.90  																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 43.90/13.90  																								|
% 43.90/13.90  																									+-Applying beta-rule and splitting (749), into two cases.
% 43.90/13.90  																									|-Branch one:
% 43.90/13.90  																									| (750) all_0_90_90 = e1
% 43.90/13.90  																									|
% 43.90/13.90  																										| Equations (750) can reduce 678 to:
% 43.90/13.90  																										| (311) $false
% 43.90/13.90  																										|
% 43.90/13.90  																										|-The branch is then unsatisfiable
% 43.90/13.90  																									|-Branch two:
% 43.90/13.90  																									| (678)  ~ (all_0_90_90 = e1)
% 43.90/13.90  																									| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 43.90/13.90  																									|
% 43.90/13.90  																										+-Applying beta-rule and splitting (775), into two cases.
% 43.90/13.90  																										|-Branch one:
% 43.90/13.90  																										| (789) all_0_82_82 = e3
% 43.90/13.90  																										|
% 43.90/13.90  																											| Combining equations (910,789) yields a new equation:
% 43.90/13.90  																											| (600) e3 = e0
% 43.90/13.90  																											|
% 43.90/13.90  																											| Equations (600) can reduce 50 to:
% 43.90/13.90  																											| (311) $false
% 43.90/13.90  																											|
% 43.90/13.90  																											|-The branch is then unsatisfiable
% 43.90/13.90  																										|-Branch two:
% 43.90/13.90  																										| (793)  ~ (all_0_82_82 = e3)
% 43.90/13.90  																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 43.90/13.90  																										|
% 43.90/13.90  																											+-Applying beta-rule and splitting (753), into two cases.
% 43.90/13.90  																											|-Branch one:
% 43.90/13.90  																											| (754) all_0_90_90 = e3
% 43.90/13.90  																											|
% 43.90/13.90  																												| From (754) and (743) follows:
% 43.90/13.90  																												| (831) op(e3, e3) = e1
% 43.90/13.90  																												|
% 43.90/13.90  																												| Instantiating formula (262) with e3, e3, e0, e1 and discharging atoms op(e3, e3) = e1, op(e3, e3) = e0, yields:
% 43.90/13.90  																												| (865) e1 = e0
% 43.90/13.90  																												|
% 43.90/13.90  																												| Equations (865) can reduce 264 to:
% 43.90/13.90  																												| (311) $false
% 43.90/13.90  																												|
% 43.90/13.90  																												|-The branch is then unsatisfiable
% 43.90/13.90  																											|-Branch two:
% 43.90/13.90  																											| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.90  																											| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 43.90/13.90  																											|
% 43.90/13.90  																												+-Applying beta-rule and splitting (794), into two cases.
% 43.90/13.90  																												|-Branch one:
% 43.90/13.90  																												| (754) all_0_90_90 = e3
% 43.90/13.90  																												|
% 43.90/13.90  																													| Equations (754) can reduce 745 to:
% 43.90/13.90  																													| (311) $false
% 43.90/13.90  																													|
% 43.90/13.90  																													|-The branch is then unsatisfiable
% 43.90/13.90  																												|-Branch two:
% 43.90/13.90  																												| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.90  																												| (744) all_0_95_95 = e3
% 43.90/13.90  																												|
% 43.90/13.90  																													| Combining equations (767,744) yields a new equation:
% 43.90/13.90  																													| (548) e3 = e2
% 43.90/13.90  																													|
% 43.90/13.90  																													| Equations (548) can reduce 169 to:
% 43.90/13.90  																													| (311) $false
% 43.90/13.90  																													|
% 43.90/13.90  																													|-The branch is then unsatisfiable
% 43.90/13.90  																						|-Branch two:
% 43.90/13.90  																						| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.90  																						| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.90  																						|
% 43.90/13.90  																							+-Applying beta-rule and splitting (10), into two cases.
% 43.90/13.90  																							|-Branch one:
% 43.90/13.90  																							| (530) all_0_82_82 = e2
% 43.90/13.90  																							|
% 43.90/13.90  																								| Equations (530) can reduce 347 to:
% 43.90/13.90  																								| (311) $false
% 43.90/13.90  																								|
% 43.90/13.90  																								|-The branch is then unsatisfiable
% 43.90/13.90  																							|-Branch two:
% 43.90/13.90  																							| (347)  ~ (all_0_82_82 = e2)
% 43.90/13.90  																							| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 43.90/13.90  																							|
% 43.90/13.90  																								+-Applying beta-rule and splitting (915), into two cases.
% 43.90/13.90  																								|-Branch one:
% 43.90/13.90  																								| (378) all_0_86_86 = e0
% 43.90/13.90  																								|
% 43.90/13.90  																									| Combining equations (384,378) yields a new equation:
% 43.90/13.90  																									| (1107) e1 = e0
% 43.90/13.90  																									|
% 43.90/13.90  																									| Simplifying 1107 yields:
% 43.90/13.90  																									| (865) e1 = e0
% 43.90/13.90  																									|
% 43.90/13.90  																									| Equations (865) can reduce 264 to:
% 43.90/13.90  																									| (311) $false
% 43.90/13.90  																									|
% 43.90/13.90  																									|-The branch is then unsatisfiable
% 43.90/13.90  																								|-Branch two:
% 43.90/13.90  																								| (381)  ~ (all_0_86_86 = e0)
% 43.90/13.90  																								| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.90  																								|
% 43.90/13.90  																									+-Applying beta-rule and splitting (927), into two cases.
% 43.90/13.90  																									|-Branch one:
% 43.90/13.90  																									| (758) all_0_90_90 = e0
% 43.90/13.90  																									|
% 43.90/13.90  																										| Equations (758) can reduce 103 to:
% 43.90/13.90  																										| (1830)  ~ (all_0_91_91 = e0)
% 43.90/13.90  																										|
% 43.90/13.90  																										| Simplifying 1830 yields:
% 43.90/13.90  																										| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.90  																										|
% 43.90/13.90  																										| Equations (758) can reduce 72 to:
% 43.90/13.90  																										| (2299)  ~ (all_0_92_92 = e0)
% 43.90/13.90  																										|
% 43.90/13.90  																										| Simplifying 2299 yields:
% 43.90/13.90  																										| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.90  																										|
% 43.90/13.90  																										| From (758) and (743) follows:
% 43.90/13.90  																										| (759) op(e3, e0) = e1
% 43.90/13.90  																										|
% 43.90/13.90  																										+-Applying beta-rule and splitting (2205), into two cases.
% 43.90/13.90  																										|-Branch one:
% 43.90/13.90  																										| (789) all_0_82_82 = e3
% 43.90/13.90  																										|
% 43.90/13.90  																											| Equations (789) can reduce 7 to:
% 43.90/13.90  																											| (421)  ~ (all_0_84_84 = e3)
% 43.90/13.90  																											|
% 43.90/13.90  																											| Simplifying 421 yields:
% 43.90/13.90  																											| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.90  																											|
% 43.90/13.90  																											| Equations (789) can reduce 209 to:
% 43.90/13.90  																											| (2358)  ~ (all_0_85_85 = e3)
% 43.90/13.90  																											|
% 43.90/13.90  																											| Simplifying 2358 yields:
% 43.90/13.90  																											| (952)  ~ (all_0_85_85 = e3)
% 43.90/13.90  																											|
% 43.90/13.90  																											+-Applying beta-rule and splitting (182), into two cases.
% 43.90/13.90  																											|-Branch one:
% 43.90/13.90  																											| (512) all_0_85_85 = e2
% 43.90/13.90  																											|
% 43.90/13.90  																												| Equations (512) can reduce 515 to:
% 43.90/13.90  																												| (311) $false
% 43.90/13.90  																												|
% 43.90/13.90  																												|-The branch is then unsatisfiable
% 43.90/13.90  																											|-Branch two:
% 43.90/13.90  																											| (515)  ~ (all_0_85_85 = e2)
% 43.90/13.90  																											| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 43.90/13.90  																											|
% 43.90/13.90  																												+-Applying beta-rule and splitting (2), into two cases.
% 43.90/13.90  																												|-Branch one:
% 43.90/13.90  																												| (916) all_0_84_84 = e0
% 43.90/13.90  																												|
% 43.90/13.90  																													| Equations (916) can reduce 154 to:
% 43.90/13.90  																													| (799)  ~ (all_0_85_85 = e0)
% 43.90/13.90  																													|
% 43.90/13.90  																													| Simplifying 799 yields:
% 43.90/13.90  																													| (800)  ~ (all_0_85_85 = e0)
% 43.90/13.90  																													|
% 43.90/13.90  																													| From (916) and (150) follows:
% 43.90/13.90  																													| (11508) op(e3, e0) = all_0_63_63
% 43.90/13.90  																													|
% 43.90/13.90  																													+-Applying beta-rule and splitting (725), into two cases.
% 43.90/13.90  																													|-Branch one:
% 43.90/13.90  																													| (804) all_0_85_85 = e3
% 43.90/13.90  																													|
% 43.90/13.90  																														| Equations (804) can reduce 952 to:
% 43.90/13.90  																														| (311) $false
% 43.90/13.90  																														|
% 43.90/13.90  																														|-The branch is then unsatisfiable
% 43.90/13.90  																													|-Branch two:
% 43.90/13.90  																													| (952)  ~ (all_0_85_85 = e3)
% 43.90/13.90  																													| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 43.90/13.90  																													|
% 43.90/13.90  																														+-Applying beta-rule and splitting (953), into two cases.
% 43.90/13.90  																														|-Branch one:
% 43.90/13.90  																														| (954) all_0_85_85 = e0
% 43.90/13.90  																														|
% 43.90/13.90  																															| Equations (954) can reduce 800 to:
% 43.90/13.90  																															| (311) $false
% 43.90/13.90  																															|
% 43.90/13.90  																															|-The branch is then unsatisfiable
% 43.90/13.90  																														|-Branch two:
% 43.90/13.90  																														| (800)  ~ (all_0_85_85 = e0)
% 43.90/13.90  																														| (493) all_0_85_85 = e4
% 43.90/13.90  																														|
% 43.90/13.90  																															| Equations (493) can reduce 128 to:
% 43.90/13.90  																															| (256)  ~ (e4 = e1)
% 43.90/13.90  																															|
% 43.90/13.90  																															| From (493) and (8) follows:
% 43.90/13.90  																															| (4406) op(e3, e0) = e4
% 43.90/13.90  																															|
% 43.90/13.90  																															| Instantiating formula (262) with e3, e0, e4, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e4, yields:
% 43.90/13.90  																															| (10099) all_0_63_63 = e4
% 43.90/13.90  																															|
% 43.90/13.90  																															| Instantiating formula (262) with e3, e0, e1, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e1, yields:
% 43.90/13.90  																															| (10509) all_0_63_63 = e1
% 43.90/13.90  																															|
% 43.90/13.90  																															| Combining equations (10099,10509) yields a new equation:
% 43.90/13.90  																															| (813) e4 = e1
% 43.90/13.90  																															|
% 43.90/13.90  																															| Simplifying 813 yields:
% 43.90/13.90  																															| (814) e4 = e1
% 43.90/13.90  																															|
% 43.90/13.90  																															| Equations (814) can reduce 256 to:
% 43.90/13.90  																															| (311) $false
% 43.90/13.90  																															|
% 43.90/13.90  																															|-The branch is then unsatisfiable
% 43.90/13.90  																												|-Branch two:
% 43.90/13.90  																												| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.90  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.90  																												|
% 43.90/13.90  																													+-Applying beta-rule and splitting (92), into two cases.
% 43.90/13.90  																													|-Branch one:
% 43.90/13.90  																													| (552) all_0_84_84 = e2
% 43.90/13.90  																													|
% 43.90/13.90  																														| Equations (552) can reduce 612 to:
% 43.90/13.90  																														| (311) $false
% 43.90/13.90  																														|
% 43.90/13.90  																														|-The branch is then unsatisfiable
% 43.90/13.90  																													|-Branch two:
% 43.90/13.90  																													| (612)  ~ (all_0_84_84 = e2)
% 43.90/13.90  																													| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.90/13.90  																													|
% 43.90/13.90  																														+-Applying beta-rule and splitting (725), into two cases.
% 43.90/13.90  																														|-Branch one:
% 43.90/13.90  																														| (804) all_0_85_85 = e3
% 43.90/13.90  																														|
% 43.90/13.90  																															| Equations (804) can reduce 952 to:
% 43.90/13.90  																															| (311) $false
% 43.90/13.90  																															|
% 43.90/13.90  																															|-The branch is then unsatisfiable
% 43.90/13.90  																														|-Branch two:
% 43.90/13.90  																														| (952)  ~ (all_0_85_85 = e3)
% 43.90/13.90  																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 43.90/13.90  																														|
% 43.90/13.90  																															+-Applying beta-rule and splitting (617), into two cases.
% 43.90/13.90  																															|-Branch one:
% 43.90/13.90  																															| (1265) all_0_84_84 = e3
% 43.90/13.90  																															|
% 43.90/13.90  																																| Equations (1265) can reduce 422 to:
% 43.90/13.90  																																| (311) $false
% 43.90/13.90  																																|
% 43.90/13.90  																																|-The branch is then unsatisfiable
% 43.90/13.90  																															|-Branch two:
% 43.90/13.90  																															| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.90  																															| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.90/13.90  																															|
% 43.90/13.90  																																+-Applying beta-rule and splitting (1268), into two cases.
% 43.90/13.90  																																|-Branch one:
% 43.90/13.90  																																| (916) all_0_84_84 = e0
% 43.90/13.90  																																|
% 43.90/13.90  																																	| Equations (916) can reduce 919 to:
% 43.90/13.90  																																	| (311) $false
% 43.90/13.90  																																	|
% 43.90/13.90  																																	|-The branch is then unsatisfiable
% 43.90/13.90  																																|-Branch two:
% 43.90/13.90  																																| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.90  																																| (438) all_0_84_84 = e4
% 43.90/13.90  																																|
% 43.90/13.90  																																	| Equations (438) can reduce 154 to:
% 43.90/13.90  																																	| (647)  ~ (all_0_85_85 = e4)
% 43.90/13.90  																																	|
% 43.90/13.90  																																	| Simplifying 647 yields:
% 43.90/13.90  																																	| (648)  ~ (all_0_85_85 = e4)
% 43.90/13.90  																																	|
% 43.90/13.90  																																	+-Applying beta-rule and splitting (953), into two cases.
% 43.90/13.90  																																	|-Branch one:
% 43.90/13.90  																																	| (954) all_0_85_85 = e0
% 43.90/13.90  																																	|
% 43.90/13.90  																																		| Equations (954) can reduce 800 to:
% 43.90/13.90  																																		| (311) $false
% 43.90/13.90  																																		|
% 43.90/13.90  																																		|-The branch is then unsatisfiable
% 43.90/13.90  																																	|-Branch two:
% 43.90/13.90  																																	| (800)  ~ (all_0_85_85 = e0)
% 43.90/13.90  																																	| (493) all_0_85_85 = e4
% 43.90/13.90  																																	|
% 43.90/13.90  																																		| Equations (493) can reduce 648 to:
% 43.90/13.90  																																		| (311) $false
% 43.90/13.90  																																		|
% 43.90/13.90  																																		|-The branch is then unsatisfiable
% 43.90/13.90  																										|-Branch two:
% 43.90/13.90  																										| (793)  ~ (all_0_82_82 = e3)
% 43.90/13.90  																										| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 43.90/13.90  																										|
% 43.90/13.90  																											+-Applying beta-rule and splitting (1400), into two cases.
% 43.90/13.90  																											|-Branch one:
% 43.90/13.90  																											| (1456) all_0_91_91 = e0
% 43.90/13.90  																											|
% 43.90/13.90  																												| Equations (1456) can reduce 1487 to:
% 43.90/13.90  																												| (311) $false
% 43.90/13.90  																												|
% 43.90/13.90  																												|-The branch is then unsatisfiable
% 43.90/13.90  																											|-Branch two:
% 43.90/13.90  																											| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.90  																											| (1837) all_0_96_96 = e0
% 43.90/13.90  																											|
% 43.90/13.90  																												| Equations (1837) can reduce 22 to:
% 43.90/13.90  																												| (938)  ~ (all_0_97_97 = e0)
% 43.90/13.90  																												|
% 43.90/13.90  																												| Simplifying 938 yields:
% 43.90/13.90  																												| (609)  ~ (all_0_97_97 = e0)
% 43.90/13.90  																												|
% 43.90/13.90  																												| Equations (1837) can reduce 1638 to:
% 43.90/13.90  																												| (510)  ~ (e2 = e0)
% 43.90/13.90  																												|
% 43.90/13.90  																												| Simplifying 510 yields:
% 43.90/13.90  																												| (76)  ~ (e2 = e0)
% 43.90/13.90  																												|
% 43.90/13.90  																												+-Applying beta-rule and splitting (2), into two cases.
% 43.90/13.90  																												|-Branch one:
% 43.90/13.90  																												| (916) all_0_84_84 = e0
% 43.90/13.90  																												|
% 43.90/13.90  																													| Equations (916) can reduce 7 to:
% 43.90/13.90  																													| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.90  																													|
% 43.90/13.90  																													+-Applying beta-rule and splitting (2706), into two cases.
% 43.90/13.90  																													|-Branch one:
% 43.90/13.90  																													| (910) all_0_82_82 = e0
% 43.90/13.90  																													|
% 43.90/13.90  																														| Equations (910) can reduce 914 to:
% 43.90/13.90  																														| (311) $false
% 43.90/13.90  																														|
% 43.90/13.90  																														|-The branch is then unsatisfiable
% 43.90/13.90  																													|-Branch two:
% 43.90/13.90  																													| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.90  																													| (469) all_0_82_82 = e4
% 43.90/13.90  																													|
% 43.90/13.90  																														| Equations (469) can reduce 465 to:
% 43.90/13.90  																														| (311) $false
% 43.90/13.90  																														|
% 43.90/13.90  																														|-The branch is then unsatisfiable
% 43.90/13.90  																												|-Branch two:
% 43.90/13.90  																												| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.90  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.90  																												|
% 43.90/13.90  																													+-Applying beta-rule and splitting (920), into two cases.
% 43.90/13.90  																													|-Branch one:
% 43.90/13.90  																													| (861) all_0_87_87 = e0
% 43.90/13.90  																													|
% 43.90/13.90  																														| Combining equations (861,374) yields a new equation:
% 43.90/13.90  																														| (379) e2 = e0
% 43.90/13.90  																														|
% 43.90/13.90  																														| Equations (379) can reduce 76 to:
% 43.90/13.90  																														| (311) $false
% 43.90/13.90  																														|
% 43.90/13.90  																														|-The branch is then unsatisfiable
% 43.90/13.90  																													|-Branch two:
% 43.90/13.90  																													| (889)  ~ (all_0_87_87 = e0)
% 43.90/13.90  																													| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.90  																													|
% 43.90/13.90  																														+-Applying beta-rule and splitting (931), into two cases.
% 43.90/13.90  																														|-Branch one:
% 43.90/13.90  																														| (942) all_0_92_92 = e0
% 43.90/13.90  																														|
% 43.90/13.90  																															| Equations (942) can reduce 946 to:
% 43.90/13.90  																															| (311) $false
% 43.90/13.90  																															|
% 43.90/13.90  																															|-The branch is then unsatisfiable
% 43.90/13.90  																														|-Branch two:
% 43.90/13.90  																														| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.90  																														| (560) all_0_97_97 = e0
% 43.90/13.90  																														|
% 43.90/13.90  																															| Equations (560) can reduce 609 to:
% 43.90/13.90  																															| (311) $false
% 43.90/13.90  																															|
% 43.90/13.90  																															|-The branch is then unsatisfiable
% 43.90/13.90  																									|-Branch two:
% 43.90/13.90  																									| (762)  ~ (all_0_90_90 = e0)
% 43.90/13.90  																									| (858) all_0_95_95 = e0
% 43.90/13.90  																									|
% 43.90/13.90  																										| Combining equations (767,858) yields a new equation:
% 43.90/13.90  																										| (923) e2 = e0
% 43.90/13.90  																										|
% 43.90/13.90  																										| Simplifying 923 yields:
% 43.90/13.90  																										| (379) e2 = e0
% 43.90/13.90  																										|
% 43.90/13.90  																										| Equations (379) can reduce 76 to:
% 43.90/13.90  																										| (311) $false
% 43.90/13.90  																										|
% 43.90/13.90  																										|-The branch is then unsatisfiable
% 43.90/13.90  																			|-Branch two:
% 43.90/13.90  																			| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 43.90/13.90  																			|
% 43.90/13.90  																				| Applying alpha-rule on (973) yields:
% 43.90/13.90  																				| (974) all_0_50_50 = e0
% 43.90/13.90  																				| (975)  ~ (all_0_51_51 = e3)
% 43.90/13.90  																				|
% 43.90/13.90  																				| Combining equations (974,13437) yields a new equation:
% 43.90/13.90  																				| (379) e2 = e0
% 43.90/13.90  																				|
% 43.90/13.90  																				| Equations (379) can reduce 76 to:
% 43.90/13.90  																				| (311) $false
% 43.90/13.90  																				|
% 43.90/13.90  																				|-The branch is then unsatisfiable
% 43.90/13.90  																		|-Branch two:
% 43.90/13.90  																		| (640)  ~ (all_0_78_78 = e4)
% 43.90/13.91  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 43.90/13.91  																		|
% 43.90/13.91  																			+-Applying beta-rule and splitting (24), into two cases.
% 43.90/13.91  																			|-Branch one:
% 43.90/13.91  																			| (400) all_0_78_78 = e2
% 43.90/13.91  																			|
% 43.90/13.91  																				| Equations (400) can reduce 346 to:
% 43.90/13.91  																				| (311) $false
% 43.90/13.91  																				|
% 43.90/13.91  																				|-The branch is then unsatisfiable
% 43.90/13.91  																			|-Branch two:
% 43.90/13.91  																			| (346)  ~ (all_0_78_78 = e2)
% 43.90/13.91  																			| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 43.90/13.91  																			|
% 43.90/13.91  																				+-Applying beta-rule and splitting (641), into two cases.
% 43.90/13.91  																				|-Branch one:
% 43.90/13.91  																				| (433) all_0_80_80 = e4
% 43.90/13.91  																				|
% 43.90/13.91  																					| Equations (433) can reduce 67 to:
% 43.90/13.91  																					| (640)  ~ (all_0_78_78 = e4)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Equations (433) can reduce 273 to:
% 43.90/13.91  																					| (662)  ~ (all_0_84_84 = e4)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Simplifying 662 yields:
% 43.90/13.91  																					| (417)  ~ (all_0_84_84 = e4)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Equations (433) can reduce 49 to:
% 43.90/13.91  																					| (1906)  ~ (all_0_92_92 = e4)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Simplifying 1906 yields:
% 43.90/13.91  																					| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Equations (433) can reduce 394 to:
% 43.90/13.91  																					| (79)  ~ (e4 = e2)
% 43.90/13.91  																					|
% 43.90/13.91  																					| Equations (433) can reduce 166 to:
% 43.90/13.91  																					| (23)  ~ (e4 = e0)
% 43.90/13.91  																					|
% 43.90/13.91  																					| From (433) and (233) follows:
% 43.90/13.91  																					| (4027) op(e1, e4) = all_0_60_60
% 43.90/13.91  																					|
% 43.90/13.91  																					+-Applying beta-rule and splitting (129), into two cases.
% 43.90/13.91  																					|-Branch one:
% 43.90/13.91  																					| (676) all_0_78_78 = e1
% 43.90/13.91  																					|
% 43.90/13.91  																						| Equations (676) can reduce 1601 to:
% 43.90/13.91  																						| (311) $false
% 43.90/13.91  																						|
% 43.90/13.91  																						|-The branch is then unsatisfiable
% 43.90/13.91  																					|-Branch two:
% 43.90/13.91  																					| (1601)  ~ (all_0_78_78 = e1)
% 43.90/13.91  																					| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 43.90/13.91  																					|
% 43.90/13.91  																						+-Applying beta-rule and splitting (1602), into two cases.
% 43.90/13.91  																						|-Branch one:
% 43.90/13.91  																						| (457) all_0_79_79 = e1
% 43.90/13.91  																						|
% 43.90/13.91  																							| Equations (457) can reduce 66 to:
% 43.90/13.91  																							| (1601)  ~ (all_0_78_78 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Equations (457) can reduce 17 to:
% 43.90/13.91  																							| (1669)  ~ (all_0_91_91 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Simplifying 1669 yields:
% 43.90/13.91  																							| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Equations (457) can reduce 214 to:
% 43.90/13.91  																							| (1671)  ~ (all_0_96_96 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Simplifying 1671 yields:
% 43.90/13.91  																							| (1479)  ~ (all_0_96_96 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Equations (457) can reduce 1622 to:
% 43.90/13.91  																							| (487)  ~ (e2 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Simplifying 487 yields:
% 43.90/13.91  																							| (243)  ~ (e2 = e1)
% 43.90/13.91  																							|
% 43.90/13.91  																							| Equations (457) can reduce 9 to:
% 43.90/13.91  																							| (264)  ~ (e1 = e0)
% 43.90/13.91  																							|
% 43.90/13.91  																							| From (457) and (184) follows:
% 43.90/13.91  																							| (1679) op(e2, e1) = all_0_52_52
% 43.90/13.91  																							|
% 43.90/13.91  																							+-Applying beta-rule and splitting (106), into two cases.
% 43.90/13.91  																							|-Branch one:
% 43.90/13.91  																							| (771) all_0_78_78 = e3
% 43.90/13.91  																							|
% 43.90/13.91  																								| Equations (771) can reduce 193 to:
% 43.90/13.91  																								| (3271)  ~ (all_0_82_82 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| Simplifying 3271 yields:
% 43.90/13.91  																								| (793)  ~ (all_0_82_82 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| Equations (771) can reduce 85 to:
% 43.90/13.91  																								| (1815)  ~ (all_0_90_90 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| Simplifying 1815 yields:
% 43.90/13.91  																								| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| Equations (771) can reduce 640 to:
% 43.90/13.91  																								| (783)  ~ (e4 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| Simplifying 783 yields:
% 43.90/13.91  																								| (177)  ~ (e4 = e3)
% 43.90/13.91  																								|
% 43.90/13.91  																								| From (771) and (104) follows:
% 43.90/13.91  																								| (13158) op(e4, e3) = all_0_44_44
% 43.90/13.91  																								|
% 43.90/13.91  																								| From (771) and (263) follows:
% 43.90/13.91  																								| (3281) op(e4, e3) = e3
% 43.90/13.91  																								|
% 43.90/13.91  																								| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 43.90/13.91  																								| (13235) all_0_44_44 = e3
% 43.90/13.91  																								|
% 43.90/13.91  																								| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 43.90/13.91  																								| (10960) all_0_52_52 = e2
% 43.90/13.91  																								|
% 43.90/13.91  																								| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 43.90/13.91  																								| (4076) all_0_60_60 = e2
% 43.90/13.91  																								|
% 43.90/13.91  																								| From (4076) and (4027) follows:
% 43.90/13.91  																								| (307) op(e1, e4) = e2
% 43.90/13.91  																								|
% 43.90/13.91  																								+-Applying beta-rule and splitting (186), into two cases.
% 43.90/13.91  																								|-Branch one:
% 43.90/13.91  																								| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 43.90/13.91  																								|
% 43.90/13.91  																									+-Applying beta-rule and splitting (726), into two cases.
% 43.90/13.91  																									|-Branch one:
% 43.90/13.91  																									| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 43.90/13.91  																									|
% 43.90/13.91  																										+-Applying beta-rule and splitting (727), into two cases.
% 43.90/13.91  																										|-Branch one:
% 43.90/13.91  																										| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 43.90/13.91  																										|
% 43.90/13.91  																											| Applying alpha-rule on (728) yields:
% 43.90/13.91  																											| (729) all_0_43_43 = e4
% 43.90/13.91  																											| (730)  ~ (all_0_44_44 = e3)
% 43.90/13.91  																											|
% 43.90/13.91  																											| Equations (13235) can reduce 730 to:
% 43.90/13.91  																											| (311) $false
% 43.90/13.91  																											|
% 43.90/13.91  																											|-The branch is then unsatisfiable
% 43.90/13.91  																										|-Branch two:
% 43.90/13.91  																										| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 43.90/13.91  																										|
% 43.90/13.91  																											| Applying alpha-rule on (734) yields:
% 43.90/13.91  																											| (735) all_0_46_46 = e2
% 43.90/13.91  																											| (736)  ~ (all_0_47_47 = e3)
% 43.90/13.91  																											|
% 43.90/13.91  																											| Combining equations (13664,735) yields a new equation:
% 43.90/13.91  																											| (15981) all_0_84_84 = e2
% 43.90/13.91  																											|
% 43.90/13.91  																											| Simplifying 15981 yields:
% 43.90/13.91  																											| (552) all_0_84_84 = e2
% 43.90/13.91  																											|
% 43.90/13.91  																											| Equations (552) can reduce 612 to:
% 43.90/13.91  																											| (311) $false
% 43.90/13.91  																											|
% 43.90/13.91  																											|-The branch is then unsatisfiable
% 43.90/13.91  																									|-Branch two:
% 43.90/13.91  																									| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 43.90/13.91  																									|
% 43.90/13.91  																										| Applying alpha-rule on (740) yields:
% 43.90/13.91  																										| (741) all_0_48_48 = e1
% 43.90/13.91  																										| (742)  ~ (all_0_49_49 = e3)
% 43.90/13.91  																										|
% 43.90/13.91  																										| From (741) and (217) follows:
% 43.90/13.91  																										| (743) op(e3, all_0_90_90) = e1
% 43.90/13.91  																										|
% 43.90/13.91  																										+-Applying beta-rule and splitting (33), into two cases.
% 43.90/13.91  																										|-Branch one:
% 43.90/13.91  																										| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 43.90/13.91  																										|
% 43.90/13.91  																											+-Applying beta-rule and splitting (1686), into two cases.
% 43.90/13.91  																											|-Branch one:
% 43.90/13.91  																											| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 43.90/13.91  																											|
% 43.90/13.91  																												+-Applying beta-rule and splitting (1687), into two cases.
% 43.90/13.91  																												|-Branch one:
% 43.90/13.91  																												| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 43.90/13.91  																												|
% 43.90/13.91  																													| Applying alpha-rule on (1688) yields:
% 43.90/13.91  																													| (1689) all_0_52_52 = e4
% 43.90/13.91  																													| (1690)  ~ (all_0_53_53 = e2)
% 43.90/13.91  																													|
% 43.90/13.91  																													| Combining equations (1689,10960) yields a new equation:
% 43.90/13.91  																													| (309) e4 = e2
% 43.90/13.91  																													|
% 43.90/13.91  																													| Simplifying 309 yields:
% 43.90/13.91  																													| (310) e4 = e2
% 43.90/13.91  																													|
% 43.90/13.91  																													| Equations (310) can reduce 79 to:
% 43.90/13.91  																													| (311) $false
% 43.90/13.91  																													|
% 43.90/13.91  																													|-The branch is then unsatisfiable
% 43.90/13.91  																												|-Branch two:
% 43.90/13.91  																												| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 43.90/13.91  																												|
% 43.90/13.91  																													| Applying alpha-rule on (1694) yields:
% 43.90/13.91  																													| (1695) all_0_54_54 = e3
% 43.90/13.91  																													| (1696)  ~ (all_0_55_55 = e2)
% 43.90/13.91  																													|
% 43.90/13.91  																													| Combining equations (1647,1695) yields a new equation:
% 43.90/13.91  																													| (790) e4 = e3
% 43.90/13.91  																													|
% 43.90/13.91  																													| Simplifying 790 yields:
% 43.90/13.91  																													| (434) e4 = e3
% 43.90/13.91  																													|
% 43.90/13.91  																													| Equations (434) can reduce 177 to:
% 43.90/13.91  																													| (311) $false
% 43.90/13.91  																													|
% 43.90/13.91  																													|-The branch is then unsatisfiable
% 43.90/13.91  																											|-Branch two:
% 43.90/13.91  																											| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 43.90/13.91  																											|
% 43.90/13.91  																												| Applying alpha-rule on (1700) yields:
% 43.90/13.91  																												| (1701) all_0_56_56 = e1
% 43.90/13.91  																												| (1702)  ~ (all_0_57_57 = e2)
% 43.90/13.91  																												|
% 43.90/13.91  																												| From (1701) and (222) follows:
% 43.90/13.91  																												| (1703) op(e2, all_0_91_91) = e1
% 43.90/13.91  																												|
% 43.90/13.91  																												+-Applying beta-rule and splitting (109), into two cases.
% 43.90/13.91  																												|-Branch one:
% 43.90/13.91  																												| (469) all_0_82_82 = e4
% 43.90/13.91  																												|
% 43.90/13.91  																													| Equations (469) can reduce 255 to:
% 43.90/13.91  																													| (466)  ~ (all_0_90_90 = e4)
% 43.90/13.91  																													|
% 43.90/13.91  																													| Simplifying 466 yields:
% 43.90/13.91  																													| (467)  ~ (all_0_90_90 = e4)
% 43.90/13.91  																													|
% 43.90/13.91  																													| Equations (469) can reduce 347 to:
% 43.90/13.91  																													| (79)  ~ (e4 = e2)
% 43.90/13.91  																													|
% 43.90/13.91  																													| Equations (469) can reduce 198 to:
% 43.90/13.91  																													| (256)  ~ (e4 = e1)
% 43.90/13.91  																													|
% 43.90/13.91  																													+-Applying beta-rule and splitting (254), into two cases.
% 43.90/13.91  																													|-Branch one:
% 43.90/13.91  																													| (910) all_0_82_82 = e0
% 43.90/13.91  																													|
% 43.90/13.91  																														| Combining equations (469,910) yields a new equation:
% 43.90/13.91  																														| (911) e4 = e0
% 43.90/13.91  																														|
% 43.90/13.91  																														| Simplifying 911 yields:
% 43.90/13.91  																														| (912) e4 = e0
% 43.90/13.91  																														|
% 43.90/13.91  																														| Equations (912) can reduce 23 to:
% 43.90/13.91  																														| (311) $false
% 43.90/13.91  																														|
% 43.90/13.91  																														|-The branch is then unsatisfiable
% 43.90/13.91  																													|-Branch two:
% 43.90/13.91  																													| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.91  																													| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.91  																													|
% 43.90/13.91  																														+-Applying beta-rule and splitting (27), into two cases.
% 43.90/13.91  																														|-Branch one:
% 43.90/13.91  																														| (746) all_0_90_90 = e2
% 43.90/13.91  																														|
% 43.90/13.91  																															| Equations (746) can reduce 294 to:
% 43.90/13.91  																															| (311) $false
% 43.90/13.91  																															|
% 43.90/13.91  																															|-The branch is then unsatisfiable
% 43.90/13.91  																														|-Branch two:
% 43.90/13.91  																														| (294)  ~ (all_0_90_90 = e2)
% 43.90/13.91  																														| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.90/13.91  																														|
% 43.90/13.91  																															+-Applying beta-rule and splitting (915), into two cases.
% 43.90/13.91  																															|-Branch one:
% 43.90/13.91  																															| (378) all_0_86_86 = e0
% 43.90/13.91  																															|
% 43.90/13.91  																																| Combining equations (384,378) yields a new equation:
% 43.90/13.91  																																| (1107) e1 = e0
% 43.90/13.91  																																|
% 43.90/13.91  																																| Simplifying 1107 yields:
% 43.90/13.91  																																| (865) e1 = e0
% 43.90/13.91  																																|
% 43.90/13.91  																																| Equations (865) can reduce 264 to:
% 43.90/13.91  																																| (311) $false
% 43.90/13.91  																																|
% 43.90/13.91  																																|-The branch is then unsatisfiable
% 43.90/13.91  																															|-Branch two:
% 43.90/13.91  																															| (381)  ~ (all_0_86_86 = e0)
% 43.90/13.91  																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.91  																															|
% 43.90/13.91  																																+-Applying beta-rule and splitting (46), into two cases.
% 43.90/13.91  																																|-Branch one:
% 43.90/13.91  																																| (308) all_0_89_89 = e4
% 43.90/13.91  																																|
% 43.90/13.91  																																	| Combining equations (292,308) yields a new equation:
% 43.90/13.91  																																	| (310) e4 = e2
% 43.90/13.91  																																	|
% 43.90/13.91  																																	| Equations (310) can reduce 79 to:
% 43.90/13.91  																																	| (311) $false
% 43.90/13.91  																																	|
% 43.90/13.91  																																	|-The branch is then unsatisfiable
% 43.90/13.91  																																|-Branch two:
% 43.90/13.91  																																| (312)  ~ (all_0_89_89 = e4)
% 43.90/13.91  																																| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.90/13.91  																																|
% 43.90/13.91  																																	+-Applying beta-rule and splitting (182), into two cases.
% 43.90/13.91  																																	|-Branch one:
% 43.90/13.91  																																	| (512) all_0_85_85 = e2
% 43.90/13.91  																																	|
% 43.90/13.91  																																		| Equations (512) can reduce 515 to:
% 43.90/13.91  																																		| (311) $false
% 43.90/13.91  																																		|
% 43.90/13.91  																																		|-The branch is then unsatisfiable
% 43.90/13.91  																																	|-Branch two:
% 43.90/13.91  																																	| (515)  ~ (all_0_85_85 = e2)
% 43.90/13.91  																																	| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 43.90/13.91  																																	|
% 43.90/13.91  																																		+-Applying beta-rule and splitting (1915), into two cases.
% 43.90/13.91  																																		|-Branch one:
% 43.90/13.91  																																		| (583) all_0_90_90 = e4
% 43.90/13.91  																																		|
% 43.90/13.91  																																			| Equations (583) can reduce 467 to:
% 43.90/13.91  																																			| (311) $false
% 43.90/13.91  																																			|
% 43.90/13.91  																																			|-The branch is then unsatisfiable
% 43.90/13.91  																																		|-Branch two:
% 43.90/13.91  																																		| (467)  ~ (all_0_90_90 = e4)
% 43.90/13.91  																																		| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.90/13.91  																																		|
% 43.90/13.91  																																			+-Applying beta-rule and splitting (1928), into two cases.
% 43.90/13.91  																																			|-Branch one:
% 43.90/13.91  																																			| (442) all_0_92_92 = e4
% 43.90/13.91  																																			|
% 43.90/13.92  																																				| Equations (442) can reduce 1619 to:
% 43.90/13.92  																																				| (311) $false
% 43.90/13.92  																																				|
% 43.90/13.92  																																				|-The branch is then unsatisfiable
% 43.90/13.92  																																			|-Branch two:
% 43.90/13.92  																																			| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.92  																																			| (607) all_0_93_93 = e4
% 43.90/13.92  																																			|
% 43.90/13.92  																																				| Equations (607) can reduce 201 to:
% 43.90/13.92  																																				| (648)  ~ (all_0_85_85 = e4)
% 43.90/13.92  																																				|
% 43.90/13.92  																																				| Equations (607) can reduce 44 to:
% 43.90/13.92  																																				| (133)  ~ (all_0_91_91 = e4)
% 43.90/13.92  																																				|
% 43.90/13.92  																																				| Equations (607) can reduce 283 to:
% 43.90/13.92  																																				| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.92  																																				|
% 43.90/13.92  																																				| Equations (607) can reduce 509 to:
% 43.90/13.92  																																				| (23)  ~ (e4 = e0)
% 43.90/13.92  																																				|
% 43.90/13.92  																																				+-Applying beta-rule and splitting (132), into two cases.
% 43.90/13.92  																																				|-Branch one:
% 43.90/13.92  																																				| (750) all_0_90_90 = e1
% 43.90/13.92  																																				|
% 43.90/13.92  																																					| Equations (750) can reduce 678 to:
% 43.90/13.92  																																					| (311) $false
% 43.90/13.92  																																					|
% 43.90/13.92  																																					|-The branch is then unsatisfiable
% 43.90/13.92  																																				|-Branch two:
% 43.90/13.92  																																				| (678)  ~ (all_0_90_90 = e1)
% 43.90/13.92  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.92  																																				|
% 43.90/13.92  																																					+-Applying beta-rule and splitting (249), into two cases.
% 43.90/13.92  																																					|-Branch one:
% 43.90/13.92  																																					| (910) all_0_82_82 = e0
% 43.90/13.92  																																					|
% 43.90/13.92  																																						| Combining equations (469,910) yields a new equation:
% 43.90/13.92  																																						| (911) e4 = e0
% 43.90/13.92  																																						|
% 43.90/13.92  																																						| Simplifying 911 yields:
% 43.90/13.92  																																						| (912) e4 = e0
% 43.90/13.92  																																						|
% 43.90/13.92  																																						| Equations (912) can reduce 23 to:
% 43.90/13.92  																																						| (311) $false
% 43.90/13.92  																																						|
% 43.90/13.92  																																						|-The branch is then unsatisfiable
% 43.90/13.92  																																					|-Branch two:
% 43.90/13.92  																																					| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.92  																																					| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.90/13.92  																																					|
% 43.90/13.92  																																						+-Applying beta-rule and splitting (108), into two cases.
% 43.90/13.92  																																						|-Branch one:
% 43.90/13.92  																																						| (477) all_0_81_81 = e1
% 43.90/13.92  																																						|
% 43.90/13.92  																																							| Combining equations (473,477) yields a new equation:
% 43.90/13.92  																																							| (408) e2 = e1
% 43.90/13.92  																																							|
% 43.90/13.92  																																							| Simplifying 408 yields:
% 43.90/13.92  																																							| (385) e2 = e1
% 43.90/13.92  																																							|
% 43.90/13.92  																																							| Equations (385) can reduce 243 to:
% 43.90/13.92  																																							| (311) $false
% 43.90/13.92  																																							|
% 43.90/13.92  																																							|-The branch is then unsatisfiable
% 43.90/13.92  																																						|-Branch two:
% 43.90/13.92  																																						| (628)  ~ (all_0_81_81 = e1)
% 43.90/13.92  																																						| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.92  																																						|
% 43.90/13.92  																																							+-Applying beta-rule and splitting (927), into two cases.
% 43.90/13.92  																																							|-Branch one:
% 43.90/13.92  																																							| (758) all_0_90_90 = e0
% 43.90/13.92  																																							|
% 43.90/13.92  																																								| Equations (758) can reduce 103 to:
% 43.90/13.92  																																								| (1830)  ~ (all_0_91_91 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| Simplifying 1830 yields:
% 43.90/13.92  																																								| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| Equations (758) can reduce 294 to:
% 43.90/13.92  																																								| (510)  ~ (e2 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| Simplifying 510 yields:
% 43.90/13.92  																																								| (76)  ~ (e2 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| Equations (758) can reduce 678 to:
% 43.90/13.92  																																								| (859)  ~ (e1 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| Simplifying 859 yields:
% 43.90/13.92  																																								| (264)  ~ (e1 = e0)
% 43.90/13.92  																																								|
% 43.90/13.92  																																								| From (758) and (743) follows:
% 43.90/13.92  																																								| (759) op(e3, e0) = e1
% 43.90/13.92  																																								|
% 43.90/13.92  																																								+-Applying beta-rule and splitting (725), into two cases.
% 43.90/13.92  																																								|-Branch one:
% 43.90/13.92  																																								| (804) all_0_85_85 = e3
% 43.90/13.92  																																								|
% 43.90/13.92  																																									| Equations (804) can reduce 154 to:
% 43.90/13.92  																																									| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| Equations (804) can reduce 75 to:
% 43.90/13.92  																																									| (1518)  ~ (all_0_98_98 = e3)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| Simplifying 1518 yields:
% 43.90/13.92  																																									| (1519)  ~ (all_0_98_98 = e3)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| Equations (804) can reduce 648 to:
% 43.90/13.92  																																									| (783)  ~ (e4 = e3)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| Simplifying 783 yields:
% 43.90/13.92  																																									| (177)  ~ (e4 = e3)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| Equations (804) can reduce 800 to:
% 43.90/13.92  																																									| (50)  ~ (e3 = e0)
% 43.90/13.92  																																									|
% 43.90/13.92  																																									| From (804) and (8) follows:
% 43.90/13.92  																																									| (1048) op(e3, e0) = e3
% 43.90/13.92  																																									|
% 43.90/13.92  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 43.90/13.92  																																									|-Branch one:
% 43.90/13.92  																																									| (801) all_0_91_91 = e1
% 43.90/13.92  																																									|
% 43.90/13.92  																																										| Equations (801) can reduce 959 to:
% 43.90/13.92  																																										| (311) $false
% 43.90/13.92  																																										|
% 43.90/13.92  																																										|-The branch is then unsatisfiable
% 43.90/13.92  																																									|-Branch two:
% 43.90/13.92  																																									| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.92  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.92  																																									|
% 43.90/13.92  																																										+-Applying beta-rule and splitting (817), into two cases.
% 43.90/13.92  																																										|-Branch one:
% 43.90/13.92  																																										| (504) all_0_88_88 = e1
% 43.90/13.92  																																										|
% 43.90/13.92  																																											| Combining equations (504,507) yields a new equation:
% 43.90/13.92  																																											| (1107) e1 = e0
% 43.90/13.92  																																											|
% 43.90/13.92  																																											| Simplifying 1107 yields:
% 43.90/13.92  																																											| (865) e1 = e0
% 43.90/13.92  																																											|
% 43.90/13.92  																																											| Equations (865) can reduce 264 to:
% 43.90/13.92  																																											| (311) $false
% 43.90/13.92  																																											|
% 43.90/13.92  																																											|-The branch is then unsatisfiable
% 43.90/13.92  																																										|-Branch two:
% 43.90/13.92  																																										| (479)  ~ (all_0_88_88 = e1)
% 43.90/13.92  																																										| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.92  																																										|
% 43.90/13.92  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 43.90/13.92  																																											|-Branch one:
% 43.90/13.92  																																											| (836) all_0_92_92 = e1
% 43.90/13.92  																																											|
% 43.90/13.92  																																												| Equations (836) can reduce 265 to:
% 43.90/13.92  																																												| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.92  																																												|
% 43.90/13.92  																																												| Equations (836) can reduce 1619 to:
% 43.90/13.92  																																												| (681)  ~ (e4 = e1)
% 43.90/13.92  																																												|
% 43.90/13.92  																																												| Simplifying 681 yields:
% 43.90/13.92  																																												| (256)  ~ (e4 = e1)
% 43.90/13.92  																																												|
% 43.90/13.92  																																												+-Applying beta-rule and splitting (897), into two cases.
% 43.90/13.92  																																												|-Branch one:
% 43.90/13.92  																																												| (566) all_0_93_93 = e1
% 43.90/13.92  																																												|
% 43.90/13.92  																																													| Combining equations (607,566) yields a new equation:
% 43.90/13.92  																																													| (813) e4 = e1
% 43.90/13.92  																																													|
% 43.90/13.92  																																													| Simplifying 813 yields:
% 43.90/13.92  																																													| (814) e4 = e1
% 43.90/13.92  																																													|
% 43.90/13.92  																																													| Equations (814) can reduce 256 to:
% 43.90/13.92  																																													| (311) $false
% 43.90/13.92  																																													|
% 43.90/13.92  																																													|-The branch is then unsatisfiable
% 43.90/13.92  																																												|-Branch two:
% 43.90/13.92  																																												| (481)  ~ (all_0_93_93 = e1)
% 43.90/13.92  																																												| (1543) all_0_98_98 = e1
% 43.90/13.92  																																												|
% 43.90/13.92  																																													| Equations (1543) can reduce 43 to:
% 43.90/13.92  																																													| (1479)  ~ (all_0_96_96 = e1)
% 43.90/13.92  																																													|
% 43.90/13.92  																																													| Equations (1543) can reduce 148 to:
% 43.90/13.92  																																													| (486)  ~ (all_0_97_97 = e1)
% 43.90/13.92  																																													|
% 43.90/13.92  																																													| Equations (1543) can reduce 1519 to:
% 43.90/13.92  																																													| (683)  ~ (e3 = e1)
% 43.90/13.92  																																													|
% 43.90/13.92  																																													| Simplifying 683 yields:
% 43.90/13.92  																																													| (20)  ~ (e3 = e1)
% 43.90/13.92  																																													|
% 43.90/13.92  																																													+-Applying beta-rule and splitting (92), into two cases.
% 43.90/13.92  																																													|-Branch one:
% 43.90/13.92  																																													| (552) all_0_84_84 = e2
% 43.90/13.92  																																													|
% 43.90/13.92  																																														| Equations (552) can reduce 612 to:
% 43.90/13.92  																																														| (311) $false
% 43.90/13.92  																																														|
% 43.90/13.92  																																														|-The branch is then unsatisfiable
% 43.90/13.92  																																													|-Branch two:
% 43.90/13.92  																																													| (612)  ~ (all_0_84_84 = e2)
% 43.90/13.92  																																													| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.90/13.92  																																													|
% 43.90/13.92  																																														+-Applying beta-rule and splitting (617), into two cases.
% 43.90/13.92  																																														|-Branch one:
% 43.90/13.92  																																														| (1265) all_0_84_84 = e3
% 43.90/13.92  																																														|
% 43.90/13.92  																																															| Equations (1265) can reduce 422 to:
% 43.90/13.92  																																															| (311) $false
% 43.90/13.92  																																															|
% 43.90/13.92  																																															|-The branch is then unsatisfiable
% 43.90/13.92  																																														|-Branch two:
% 43.90/13.92  																																														| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.92  																																														| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.90/13.92  																																														|
% 43.90/13.92  																																															+-Applying beta-rule and splitting (282), into two cases.
% 43.90/13.92  																																															|-Branch one:
% 43.90/13.92  																																															| (754) all_0_90_90 = e3
% 43.90/13.92  																																															|
% 43.90/13.92  																																																| Combining equations (758,754) yields a new equation:
% 43.90/13.92  																																																| (600) e3 = e0
% 43.90/13.92  																																																|
% 43.90/13.92  																																																| Equations (600) can reduce 50 to:
% 43.90/13.92  																																																| (311) $false
% 43.90/13.92  																																																|
% 43.90/13.92  																																																|-The branch is then unsatisfiable
% 43.90/13.92  																																															|-Branch two:
% 43.90/13.92  																																															| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.92  																																															| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.90/13.92  																																															|
% 43.90/13.92  																																																+-Applying beta-rule and splitting (849), into two cases.
% 43.90/13.92  																																																|-Branch one:
% 43.90/13.92  																																																| (588) all_0_91_91 = e3
% 43.90/13.92  																																																|
% 43.90/13.92  																																																	| Equations (588) can reduce 133 to:
% 43.90/13.92  																																																	| (783)  ~ (e4 = e3)
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																	| Simplifying 783 yields:
% 43.90/13.92  																																																	| (177)  ~ (e4 = e3)
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																	| Equations (588) can reduce 959 to:
% 43.90/13.92  																																																	| (20)  ~ (e3 = e1)
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																	| Equations (588) can reduce 1487 to:
% 43.90/13.92  																																																	| (50)  ~ (e3 = e0)
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																	+-Applying beta-rule and splitting (84), into two cases.
% 43.90/13.92  																																																	|-Branch one:
% 43.90/13.92  																																																	| (1704) all_0_96_96 = e2
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																		| Equations (1704) can reduce 1638 to:
% 43.90/13.92  																																																		| (311) $false
% 43.90/13.92  																																																		|
% 43.90/13.92  																																																		|-The branch is then unsatisfiable
% 43.90/13.92  																																																	|-Branch two:
% 43.90/13.92  																																																	| (1638)  ~ (all_0_96_96 = e2)
% 43.90/13.92  																																																	| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.90/13.92  																																																	|
% 43.90/13.92  																																																		+-Applying beta-rule and splitting (207), into two cases.
% 43.90/13.92  																																																		|-Branch one:
% 43.90/13.92  																																																		| (416) all_0_80_80 = e3
% 43.90/13.92  																																																		|
% 43.90/13.92  																																																			| Combining equations (416,433) yields a new equation:
% 43.90/13.92  																																																			| (434) e4 = e3
% 43.90/13.92  																																																			|
% 43.90/13.92  																																																			| Equations (434) can reduce 177 to:
% 43.90/13.92  																																																			| (311) $false
% 43.90/13.92  																																																			|
% 43.90/13.92  																																																			|-The branch is then unsatisfiable
% 43.90/13.92  																																																		|-Branch two:
% 43.90/13.92  																																																		| (2347)  ~ (all_0_80_80 = e3)
% 43.90/13.92  																																																		| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.90/13.92  																																																		|
% 43.90/13.92  																																																			+-Applying beta-rule and splitting (1400), into two cases.
% 43.90/13.92  																																																			|-Branch one:
% 43.90/13.92  																																																			| (1456) all_0_91_91 = e0
% 43.90/13.92  																																																			|
% 43.90/13.92  																																																				| Combining equations (588,1456) yields a new equation:
% 43.90/13.92  																																																				| (599) e3 = e0
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Simplifying 599 yields:
% 43.90/13.92  																																																				| (600) e3 = e0
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Equations (600) can reduce 50 to:
% 43.90/13.92  																																																				| (311) $false
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				|-The branch is then unsatisfiable
% 43.90/13.92  																																																			|-Branch two:
% 43.90/13.92  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.92  																																																			| (1837) all_0_96_96 = e0
% 43.90/13.92  																																																			|
% 43.90/13.92  																																																				| Equations (1837) can reduce 22 to:
% 43.90/13.92  																																																				| (938)  ~ (all_0_97_97 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Simplifying 938 yields:
% 43.90/13.92  																																																				| (609)  ~ (all_0_97_97 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Equations (1837) can reduce 1638 to:
% 43.90/13.92  																																																				| (510)  ~ (e2 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Simplifying 510 yields:
% 43.90/13.92  																																																				| (76)  ~ (e2 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Equations (1837) can reduce 1479 to:
% 43.90/13.92  																																																				| (859)  ~ (e1 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				| Simplifying 859 yields:
% 43.90/13.92  																																																				| (264)  ~ (e1 = e0)
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																				+-Applying beta-rule and splitting (2), into two cases.
% 43.90/13.92  																																																				|-Branch one:
% 43.90/13.92  																																																				| (916) all_0_84_84 = e0
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																					| Equations (916) can reduce 422 to:
% 43.90/13.92  																																																					| (906)  ~ (e3 = e0)
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																					| Simplifying 906 yields:
% 43.90/13.92  																																																					| (50)  ~ (e3 = e0)
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																					| From (916) and (150) follows:
% 43.90/13.92  																																																					| (11508) op(e3, e0) = all_0_63_63
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																					+-Applying beta-rule and splitting (2481), into two cases.
% 43.90/13.92  																																																					|-Branch one:
% 43.90/13.92  																																																					| (1265) all_0_84_84 = e3
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																						| Combining equations (916,1265) yields a new equation:
% 43.90/13.92  																																																						| (600) e3 = e0
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						| Equations (600) can reduce 50 to:
% 43.90/13.92  																																																						| (311) $false
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						|-The branch is then unsatisfiable
% 43.90/13.92  																																																					|-Branch two:
% 43.90/13.92  																																																					| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.92  																																																					| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																						+-Applying beta-rule and splitting (3765), into two cases.
% 43.90/13.92  																																																						|-Branch one:
% 43.90/13.92  																																																						| (882) all_0_92_92 = e3
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																							| Combining equations (836,882) yields a new equation:
% 43.90/13.92  																																																							| (772) e3 = e1
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							| Equations (772) can reduce 20 to:
% 43.90/13.92  																																																							| (311) $false
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							|-The branch is then unsatisfiable
% 43.90/13.92  																																																						|-Branch two:
% 43.90/13.92  																																																						| (426)  ~ (all_0_92_92 = e3)
% 43.90/13.92  																																																						| (556) all_0_97_97 = e3
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																							| Equations (556) can reduce 486 to:
% 43.90/13.92  																																																							| (20)  ~ (e3 = e1)
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							| Instantiating formula (262) with e3, e0, e3, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e3, yields:
% 43.90/13.92  																																																							| (16365) all_0_63_63 = e3
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							| Instantiating formula (262) with e3, e0, e1, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e1, yields:
% 43.90/13.92  																																																							| (10509) all_0_63_63 = e1
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							| Combining equations (10509,16365) yields a new equation:
% 43.90/13.92  																																																							| (772) e3 = e1
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							| Equations (772) can reduce 20 to:
% 43.90/13.92  																																																							| (311) $false
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							|-The branch is then unsatisfiable
% 43.90/13.92  																																																				|-Branch two:
% 43.90/13.92  																																																				| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.92  																																																				| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.92  																																																				|
% 43.90/13.92  																																																					+-Applying beta-rule and splitting (1309), into two cases.
% 43.90/13.92  																																																					|-Branch one:
% 43.90/13.92  																																																					| (798) all_0_83_83 = e0
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																						| Combining equations (453,798) yields a new equation:
% 43.90/13.92  																																																						| (923) e2 = e0
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						| Simplifying 923 yields:
% 43.90/13.92  																																																						| (379) e2 = e0
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						| Equations (379) can reduce 76 to:
% 43.90/13.92  																																																						| (311) $false
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						|-The branch is then unsatisfiable
% 43.90/13.92  																																																					|-Branch two:
% 43.90/13.92  																																																					| (1314)  ~ (all_0_83_83 = e0)
% 43.90/13.92  																																																					| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.90/13.92  																																																					|
% 43.90/13.92  																																																						| Equations (453) can reduce 1314 to:
% 43.90/13.92  																																																						| (76)  ~ (e2 = e0)
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																						+-Applying beta-rule and splitting (2481), into two cases.
% 43.90/13.92  																																																						|-Branch one:
% 43.90/13.92  																																																						| (1265) all_0_84_84 = e3
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																							| Equations (1265) can reduce 422 to:
% 43.90/13.92  																																																							| (311) $false
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																							|-The branch is then unsatisfiable
% 43.90/13.92  																																																						|-Branch two:
% 43.90/13.92  																																																						| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.92  																																																						| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.90/13.92  																																																						|
% 43.90/13.92  																																																							+-Applying beta-rule and splitting (920), into two cases.
% 43.90/13.92  																																																							|-Branch one:
% 43.90/13.92  																																																							| (861) all_0_87_87 = e0
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																								| Combining equations (374,861) yields a new equation:
% 43.90/13.92  																																																								| (923) e2 = e0
% 43.90/13.92  																																																								|
% 43.90/13.92  																																																								| Simplifying 923 yields:
% 43.90/13.92  																																																								| (379) e2 = e0
% 43.90/13.92  																																																								|
% 43.90/13.92  																																																								| Equations (379) can reduce 76 to:
% 43.90/13.92  																																																								| (311) $false
% 43.90/13.92  																																																								|
% 43.90/13.92  																																																								|-The branch is then unsatisfiable
% 43.90/13.92  																																																							|-Branch two:
% 43.90/13.92  																																																							| (889)  ~ (all_0_87_87 = e0)
% 43.90/13.92  																																																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.92  																																																							|
% 43.90/13.92  																																																								+-Applying beta-rule and splitting (3765), into two cases.
% 43.90/13.92  																																																								|-Branch one:
% 43.90/13.92  																																																								| (882) all_0_92_92 = e3
% 43.90/13.92  																																																								|
% 43.90/13.92  																																																									| Combining equations (836,882) yields a new equation:
% 43.90/13.92  																																																									| (772) e3 = e1
% 43.90/13.92  																																																									|
% 43.90/13.92  																																																									| Equations (772) can reduce 20 to:
% 43.90/13.92  																																																									| (311) $false
% 43.90/13.92  																																																									|
% 43.90/13.92  																																																									|-The branch is then unsatisfiable
% 43.90/13.92  																																																								|-Branch two:
% 43.90/13.92  																																																								| (426)  ~ (all_0_92_92 = e3)
% 43.90/13.92  																																																								| (556) all_0_97_97 = e3
% 43.90/13.92  																																																								|
% 43.90/13.92  																																																									| Equations (556) can reduce 609 to:
% 43.90/13.92  																																																									| (50)  ~ (e3 = e0)
% 43.90/13.92  																																																									|
% 43.90/13.92  																																																									+-Applying beta-rule and splitting (931), into two cases.
% 43.90/13.92  																																																									|-Branch one:
% 43.90/13.92  																																																									| (942) all_0_92_92 = e0
% 43.90/13.92  																																																									|
% 43.90/13.92  																																																										| Combining equations (942,836) yields a new equation:
% 43.90/13.92  																																																										| (865) e1 = e0
% 43.90/13.92  																																																										|
% 43.90/13.93  																																																										| Equations (865) can reduce 264 to:
% 43.90/13.93  																																																										| (311) $false
% 43.90/13.93  																																																										|
% 43.90/13.93  																																																										|-The branch is then unsatisfiable
% 43.90/13.93  																																																									|-Branch two:
% 43.90/13.93  																																																									| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.93  																																																									| (560) all_0_97_97 = e0
% 43.90/13.93  																																																									|
% 43.90/13.93  																																																										| Combining equations (560,556) yields a new equation:
% 43.90/13.93  																																																										| (600) e3 = e0
% 43.90/13.93  																																																										|
% 43.90/13.93  																																																										| Equations (600) can reduce 50 to:
% 43.90/13.93  																																																										| (311) $false
% 43.90/13.93  																																																										|
% 43.90/13.93  																																																										|-The branch is then unsatisfiable
% 43.90/13.93  																																																|-Branch two:
% 43.90/13.93  																																																| (571)  ~ (all_0_91_91 = e3)
% 43.90/13.93  																																																| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 43.90/13.93  																																																|
% 43.90/13.93  																																																	+-Applying beta-rule and splitting (881), into two cases.
% 43.90/13.93  																																																	|-Branch one:
% 43.90/13.93  																																																	| (882) all_0_92_92 = e3
% 43.90/13.93  																																																	|
% 43.90/13.93  																																																		| Combining equations (836,882) yields a new equation:
% 43.90/13.93  																																																		| (772) e3 = e1
% 43.90/13.93  																																																		|
% 43.90/13.93  																																																		| Equations (772) can reduce 20 to:
% 43.90/13.93  																																																		| (311) $false
% 43.90/13.93  																																																		|
% 43.90/13.93  																																																		|-The branch is then unsatisfiable
% 43.90/13.93  																																																	|-Branch two:
% 43.90/13.93  																																																	| (426)  ~ (all_0_92_92 = e3)
% 43.90/13.93  																																																	| (570) all_0_93_93 = e3
% 43.90/13.93  																																																	|
% 43.90/13.93  																																																		| Combining equations (570,607) yields a new equation:
% 43.90/13.93  																																																		| (434) e4 = e3
% 43.90/13.93  																																																		|
% 43.90/13.93  																																																		| Equations (434) can reduce 177 to:
% 43.90/13.93  																																																		| (311) $false
% 43.90/13.93  																																																		|
% 43.90/13.93  																																																		|-The branch is then unsatisfiable
% 43.90/13.93  																																											|-Branch two:
% 43.90/13.93  																																											| (840)  ~ (all_0_92_92 = e1)
% 43.90/13.93  																																											| (566) all_0_93_93 = e1
% 43.90/13.93  																																											|
% 43.90/13.93  																																												| Combining equations (566,607) yields a new equation:
% 43.90/13.93  																																												| (814) e4 = e1
% 43.90/13.93  																																												|
% 43.90/13.93  																																												| Equations (814) can reduce 256 to:
% 43.90/13.93  																																												| (311) $false
% 43.90/13.93  																																												|
% 43.90/13.93  																																												|-The branch is then unsatisfiable
% 43.90/13.93  																																								|-Branch two:
% 43.90/13.93  																																								| (952)  ~ (all_0_85_85 = e3)
% 43.90/13.93  																																								| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 43.90/13.93  																																								|
% 43.90/13.93  																																									+-Applying beta-rule and splitting (1309), into two cases.
% 43.90/13.93  																																									|-Branch one:
% 43.90/13.93  																																									| (798) all_0_83_83 = e0
% 43.90/13.93  																																									|
% 43.90/13.93  																																										| Combining equations (453,798) yields a new equation:
% 43.90/13.93  																																										| (923) e2 = e0
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Simplifying 923 yields:
% 43.90/13.93  																																										| (379) e2 = e0
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Equations (379) can reduce 76 to:
% 43.90/13.93  																																										| (311) $false
% 43.90/13.93  																																										|
% 43.90/13.93  																																										|-The branch is then unsatisfiable
% 43.90/13.93  																																									|-Branch two:
% 43.90/13.93  																																									| (1314)  ~ (all_0_83_83 = e0)
% 43.90/13.93  																																									| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 43.90/13.93  																																									|
% 43.90/13.93  																																										+-Applying beta-rule and splitting (1315), into two cases.
% 43.90/13.93  																																										|-Branch one:
% 43.90/13.93  																																										| (916) all_0_84_84 = e0
% 43.90/13.93  																																										|
% 43.90/13.93  																																											| Equations (916) can reduce 154 to:
% 43.90/13.93  																																											| (799)  ~ (all_0_85_85 = e0)
% 43.90/13.93  																																											|
% 43.90/13.93  																																											| Simplifying 799 yields:
% 43.90/13.93  																																											| (800)  ~ (all_0_85_85 = e0)
% 43.90/13.93  																																											|
% 43.90/13.93  																																											+-Applying beta-rule and splitting (953), into two cases.
% 43.90/13.93  																																											|-Branch one:
% 43.90/13.93  																																											| (954) all_0_85_85 = e0
% 43.90/13.93  																																											|
% 43.90/13.93  																																												| Equations (954) can reduce 800 to:
% 43.90/13.93  																																												| (311) $false
% 43.90/13.93  																																												|
% 43.90/13.93  																																												|-The branch is then unsatisfiable
% 43.90/13.93  																																											|-Branch two:
% 43.90/13.93  																																											| (800)  ~ (all_0_85_85 = e0)
% 43.90/13.93  																																											| (493) all_0_85_85 = e4
% 43.90/13.93  																																											|
% 43.90/13.93  																																												| Equations (493) can reduce 648 to:
% 43.90/13.93  																																												| (311) $false
% 43.90/13.93  																																												|
% 43.90/13.93  																																												|-The branch is then unsatisfiable
% 43.90/13.93  																																										|-Branch two:
% 43.90/13.93  																																										| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.93  																																										| (954) all_0_85_85 = e0
% 43.90/13.93  																																										|
% 43.90/13.93  																																											| Equations (954) can reduce 800 to:
% 43.90/13.93  																																											| (311) $false
% 43.90/13.93  																																											|
% 43.90/13.93  																																											|-The branch is then unsatisfiable
% 43.90/13.93  																																							|-Branch two:
% 43.90/13.93  																																							| (762)  ~ (all_0_90_90 = e0)
% 43.90/13.93  																																							| (858) all_0_95_95 = e0
% 43.90/13.93  																																							|
% 43.90/13.93  																																								| Combining equations (767,858) yields a new equation:
% 43.90/13.93  																																								| (923) e2 = e0
% 43.90/13.93  																																								|
% 43.90/13.93  																																								| Simplifying 923 yields:
% 43.90/13.93  																																								| (379) e2 = e0
% 43.90/13.93  																																								|
% 43.90/13.93  																																								| Equations (379) can reduce 76 to:
% 43.90/13.93  																																								| (311) $false
% 43.90/13.93  																																								|
% 43.90/13.93  																																								|-The branch is then unsatisfiable
% 43.90/13.93  																												|-Branch two:
% 43.90/13.93  																												| (465)  ~ (all_0_82_82 = e4)
% 43.90/13.93  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 43.90/13.93  																												|
% 43.90/13.93  																													+-Applying beta-rule and splitting (10), into two cases.
% 43.90/13.93  																													|-Branch one:
% 43.90/13.93  																													| (530) all_0_82_82 = e2
% 43.90/13.93  																													|
% 43.90/13.93  																														| Equations (530) can reduce 347 to:
% 43.90/13.93  																														| (311) $false
% 43.90/13.93  																														|
% 43.90/13.93  																														|-The branch is then unsatisfiable
% 43.90/13.93  																													|-Branch two:
% 43.90/13.93  																													| (347)  ~ (all_0_82_82 = e2)
% 43.90/13.93  																													| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 43.90/13.93  																													|
% 43.90/13.93  																														+-Applying beta-rule and splitting (472), into two cases.
% 43.90/13.93  																														|-Branch one:
% 43.90/13.93  																														| (438) all_0_84_84 = e4
% 43.90/13.93  																														|
% 43.90/13.93  																															| Equations (438) can reduce 417 to:
% 43.90/13.93  																															| (311) $false
% 43.90/13.93  																															|
% 43.90/13.93  																															|-The branch is then unsatisfiable
% 43.90/13.93  																														|-Branch two:
% 43.90/13.93  																														| (417)  ~ (all_0_84_84 = e4)
% 43.90/13.93  																														| (493) all_0_85_85 = e4
% 43.90/13.93  																														|
% 43.90/13.93  																															| Equations (493) can reduce 209 to:
% 43.90/13.93  																															| (465)  ~ (all_0_82_82 = e4)
% 43.90/13.93  																															|
% 43.90/13.93  																															| Equations (493) can reduce 154 to:
% 43.90/13.93  																															| (417)  ~ (all_0_84_84 = e4)
% 43.90/13.93  																															|
% 43.90/13.93  																															| From (493) and (26) follows:
% 43.90/13.93  																															| (2742) op(e0, e4) = all_0_71_71
% 43.90/13.93  																															|
% 43.90/13.93  																															+-Applying beta-rule and splitting (2205), into two cases.
% 43.90/13.93  																															|-Branch one:
% 43.90/13.93  																															| (789) all_0_82_82 = e3
% 43.90/13.93  																															|
% 43.90/13.93  																																| Equations (789) can reduce 793 to:
% 43.90/13.93  																																| (311) $false
% 43.90/13.93  																																|
% 43.90/13.93  																																|-The branch is then unsatisfiable
% 43.90/13.93  																															|-Branch two:
% 43.90/13.93  																															| (793)  ~ (all_0_82_82 = e3)
% 43.90/13.93  																															| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 43.90/13.93  																															|
% 43.90/13.93  																																+-Applying beta-rule and splitting (2706), into two cases.
% 43.90/13.93  																																|-Branch one:
% 43.90/13.93  																																| (910) all_0_82_82 = e0
% 43.90/13.93  																																|
% 43.90/13.93  																																	| Equations (910) can reduce 7 to:
% 43.90/13.93  																																	| (2207)  ~ (all_0_84_84 = e0)
% 43.90/13.93  																																	|
% 43.90/13.93  																																	| Simplifying 2207 yields:
% 43.90/13.93  																																	| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.93  																																	|
% 43.90/13.93  																																	| Equations (910) can reduce 255 to:
% 43.90/13.93  																																	| (2710)  ~ (all_0_90_90 = e0)
% 43.90/13.93  																																	|
% 43.90/13.93  																																	| Simplifying 2710 yields:
% 43.90/13.93  																																	| (762)  ~ (all_0_90_90 = e0)
% 43.90/13.93  																																	|
% 43.90/13.93  																																	+-Applying beta-rule and splitting (27), into two cases.
% 43.90/13.93  																																	|-Branch one:
% 43.90/13.93  																																	| (746) all_0_90_90 = e2
% 43.90/13.93  																																	|
% 43.90/13.93  																																		| Equations (746) can reduce 294 to:
% 43.90/13.93  																																		| (311) $false
% 43.90/13.93  																																		|
% 43.90/13.93  																																		|-The branch is then unsatisfiable
% 43.90/13.93  																																	|-Branch two:
% 43.90/13.93  																																	| (294)  ~ (all_0_90_90 = e2)
% 43.90/13.93  																																	| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.90/13.93  																																	|
% 43.90/13.93  																																		+-Applying beta-rule and splitting (749), into two cases.
% 43.90/13.93  																																		|-Branch one:
% 43.90/13.93  																																		| (750) all_0_90_90 = e1
% 43.90/13.93  																																		|
% 43.90/13.93  																																			| Equations (750) can reduce 678 to:
% 43.90/13.93  																																			| (311) $false
% 43.90/13.93  																																			|
% 43.90/13.93  																																			|-The branch is then unsatisfiable
% 43.90/13.93  																																		|-Branch two:
% 43.90/13.93  																																		| (678)  ~ (all_0_90_90 = e1)
% 43.90/13.93  																																		| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 43.90/13.93  																																		|
% 43.90/13.93  																																			+-Applying beta-rule and splitting (753), into two cases.
% 43.90/13.93  																																			|-Branch one:
% 43.90/13.93  																																			| (754) all_0_90_90 = e3
% 43.90/13.93  																																			|
% 43.90/13.93  																																				| Equations (754) can reduce 745 to:
% 43.90/13.93  																																				| (311) $false
% 43.90/13.93  																																				|
% 43.90/13.93  																																				|-The branch is then unsatisfiable
% 43.90/13.93  																																			|-Branch two:
% 43.90/13.93  																																			| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.93  																																			| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 43.90/13.93  																																			|
% 43.90/13.93  																																				+-Applying beta-rule and splitting (757), into two cases.
% 43.90/13.93  																																				|-Branch one:
% 43.90/13.93  																																				| (758) all_0_90_90 = e0
% 43.90/13.93  																																				|
% 43.90/13.93  																																					| Equations (758) can reduce 762 to:
% 43.90/13.93  																																					| (311) $false
% 43.90/13.93  																																					|
% 43.90/13.93  																																					|-The branch is then unsatisfiable
% 43.90/13.93  																																				|-Branch two:
% 43.90/13.93  																																				| (762)  ~ (all_0_90_90 = e0)
% 43.90/13.93  																																				| (583) all_0_90_90 = e4
% 43.90/13.93  																																				|
% 43.90/13.93  																																					| Equations (583) can reduce 103 to:
% 43.90/13.93  																																					| (3634)  ~ (all_0_91_91 = e4)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Simplifying 3634 yields:
% 43.90/13.93  																																					| (133)  ~ (all_0_91_91 = e4)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Equations (583) can reduce 72 to:
% 43.90/13.93  																																					| (1906)  ~ (all_0_92_92 = e4)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Simplifying 1906 yields:
% 43.90/13.93  																																					| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Equations (583) can reduce 294 to:
% 43.90/13.93  																																					| (79)  ~ (e4 = e2)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Equations (583) can reduce 678 to:
% 43.90/13.93  																																					| (256)  ~ (e4 = e1)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| Equations (583) can reduce 762 to:
% 43.90/13.93  																																					| (23)  ~ (e4 = e0)
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| From (583) and (35) follows:
% 43.90/13.93  																																					| (10485) op(e1, e4) = all_0_49_49
% 43.90/13.93  																																					|
% 43.90/13.93  																																					| From (583) and (218) follows:
% 43.90/13.93  																																					| (4391) op(e1, e3) = e4
% 43.90/13.93  																																					|
% 43.90/13.93  																																					+-Applying beta-rule and splitting (92), into two cases.
% 43.90/13.93  																																					|-Branch one:
% 43.90/13.93  																																					| (552) all_0_84_84 = e2
% 43.90/13.93  																																					|
% 43.90/13.93  																																						| Equations (552) can reduce 612 to:
% 43.90/13.93  																																						| (311) $false
% 43.90/13.93  																																						|
% 43.90/13.93  																																						|-The branch is then unsatisfiable
% 43.90/13.93  																																					|-Branch two:
% 43.90/13.93  																																					| (612)  ~ (all_0_84_84 = e2)
% 43.90/13.93  																																					| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.90/13.93  																																					|
% 43.90/13.93  																																						+-Applying beta-rule and splitting (617), into two cases.
% 43.90/13.93  																																						|-Branch one:
% 43.90/13.93  																																						| (1265) all_0_84_84 = e3
% 43.90/13.93  																																						|
% 43.90/13.93  																																							| Equations (1265) can reduce 87 to:
% 43.90/13.93  																																							| (425)  ~ (all_0_92_92 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Simplifying 425 yields:
% 43.90/13.93  																																							| (426)  ~ (all_0_92_92 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Equations (1265) can reduce 195 to:
% 43.90/13.93  																																							| (427)  ~ (all_0_97_97 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Simplifying 427 yields:
% 43.90/13.93  																																							| (428)  ~ (all_0_97_97 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Equations (1265) can reduce 417 to:
% 43.90/13.93  																																							| (783)  ~ (e4 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Simplifying 783 yields:
% 43.90/13.93  																																							| (177)  ~ (e4 = e3)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Equations (1265) can reduce 259 to:
% 43.90/13.93  																																							| (20)  ~ (e3 = e1)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Equations (1265) can reduce 919 to:
% 43.90/13.93  																																							| (50)  ~ (e3 = e0)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| From (1265) and (122) follows:
% 43.90/13.93  																																							| (3507) op(e1, e3) = all_0_62_62
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 43.90/13.93  																																							| (10505) all_0_49_49 = e2
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Instantiating formula (262) with e1, e3, e4, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e4, yields:
% 43.90/13.93  																																							| (4461) all_0_62_62 = e4
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 43.90/13.93  																																							| (2758) all_0_71_71 = e4
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Equations (10505) can reduce 742 to:
% 43.90/13.93  																																							| (356)  ~ (e3 = e2)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							| Simplifying 356 yields:
% 43.90/13.93  																																							| (169)  ~ (e3 = e2)
% 43.90/13.93  																																							|
% 43.90/13.93  																																							+-Applying beta-rule and splitting (89), into two cases.
% 43.90/13.93  																																							|-Branch one:
% 43.90/13.93  																																							| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 43.90/13.93  																																							|
% 43.90/13.93  																																								+-Applying beta-rule and splitting (1373), into two cases.
% 43.90/13.93  																																								|-Branch one:
% 43.90/13.93  																																								| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 43.90/13.93  																																								|
% 43.90/13.93  																																									+-Applying beta-rule and splitting (1374), into two cases.
% 43.90/13.93  																																									|-Branch one:
% 43.90/13.93  																																									| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 43.90/13.93  																																									|
% 43.90/13.93  																																										| Applying alpha-rule on (1375) yields:
% 43.90/13.93  																																										| (1376) all_0_69_69 = e4
% 43.90/13.93  																																										| (1377)  ~ (all_0_70_70 = e0)
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Combining equations (1376,1794) yields a new equation:
% 43.90/13.93  																																										| (16509) all_0_96_96 = e4
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Equations (16509) can reduce 115 to:
% 43.90/13.93  																																										| (311) $false
% 43.90/13.93  																																										|
% 43.90/13.93  																																										|-The branch is then unsatisfiable
% 43.90/13.93  																																									|-Branch two:
% 43.90/13.93  																																									| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 43.90/13.93  																																									|
% 43.90/13.93  																																										| Applying alpha-rule on (1379) yields:
% 43.90/13.93  																																										| (1380) all_0_71_71 = e3
% 43.90/13.93  																																										| (1381)  ~ (all_0_72_72 = e0)
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Combining equations (1380,2758) yields a new equation:
% 43.90/13.93  																																										| (434) e4 = e3
% 43.90/13.93  																																										|
% 43.90/13.93  																																										| Equations (434) can reduce 177 to:
% 43.90/13.93  																																										| (311) $false
% 43.90/13.93  																																										|
% 43.90/13.93  																																										|-The branch is then unsatisfiable
% 43.90/13.93  																																								|-Branch two:
% 43.90/13.93  																																								| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 43.90/13.93  																																								|
% 43.90/13.93  																																									| Applying alpha-rule on (1385) yields:
% 43.90/13.93  																																									| (1386) all_0_73_73 = e2
% 43.90/13.93  																																									| (1387)  ~ (all_0_74_74 = e0)
% 43.90/13.93  																																									|
% 43.90/13.93  																																									| Combining equations (1386,1370) yields a new equation:
% 43.90/13.93  																																									| (525) all_0_98_98 = e2
% 43.90/13.93  																																									|
% 43.90/13.93  																																									| Equations (525) can reduce 1349 to:
% 43.90/13.93  																																									| (311) $false
% 43.90/13.93  																																									|
% 43.90/13.93  																																									|-The branch is then unsatisfiable
% 43.90/13.93  																																							|-Branch two:
% 43.90/13.93  																																							| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 43.90/13.93  																																							|
% 43.90/13.93  																																								| Applying alpha-rule on (1391) yields:
% 43.90/13.94  																																								| (1392) all_0_75_75 = e1
% 43.90/13.94  																																								| (1393)  ~ (all_0_76_76 = e0)
% 43.90/13.94  																																								|
% 43.90/13.94  																																								+-Applying beta-rule and splitting (276), into two cases.
% 43.90/13.94  																																								|-Branch one:
% 43.90/13.94  																																								| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 43.90/13.94  																																								|
% 43.90/13.94  																																									+-Applying beta-rule and splitting (577), into two cases.
% 43.90/13.94  																																									|-Branch one:
% 43.90/13.94  																																									| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 43.90/13.94  																																									|
% 43.90/13.94  																																										+-Applying beta-rule and splitting (578), into two cases.
% 43.90/13.94  																																										|-Branch one:
% 43.90/13.94  																																										| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 43.90/13.94  																																										|
% 43.90/13.94  																																											| Applying alpha-rule on (579) yields:
% 43.90/13.94  																																											| (580) all_0_60_60 = e4
% 43.90/13.94  																																											| (581)  ~ (all_0_61_61 = e1)
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Combining equations (580,4076) yields a new equation:
% 43.90/13.94  																																											| (309) e4 = e2
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Simplifying 309 yields:
% 43.90/13.94  																																											| (310) e4 = e2
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Equations (310) can reduce 79 to:
% 43.90/13.94  																																											| (311) $false
% 43.90/13.94  																																											|
% 43.90/13.94  																																											|-The branch is then unsatisfiable
% 43.90/13.94  																																										|-Branch two:
% 43.90/13.94  																																										| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 43.90/13.94  																																										|
% 43.90/13.94  																																											| Applying alpha-rule on (585) yields:
% 43.90/13.94  																																											| (586) all_0_62_62 = e3
% 43.90/13.94  																																											| (587)  ~ (all_0_63_63 = e1)
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Combining equations (586,4461) yields a new equation:
% 43.90/13.94  																																											| (434) e4 = e3
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Equations (434) can reduce 177 to:
% 43.90/13.94  																																											| (311) $false
% 43.90/13.94  																																											|
% 43.90/13.94  																																											|-The branch is then unsatisfiable
% 43.90/13.94  																																									|-Branch two:
% 43.90/13.94  																																									| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 43.90/13.94  																																									|
% 43.90/13.94  																																										| Applying alpha-rule on (590) yields:
% 43.90/13.94  																																										| (591) all_0_64_64 = e2
% 43.90/13.94  																																										| (592)  ~ (all_0_65_65 = e1)
% 43.90/13.94  																																										|
% 43.90/13.94  																																										| Combining equations (591,9535) yields a new equation:
% 43.90/13.94  																																										| (1723) all_0_91_91 = e2
% 43.90/13.94  																																										|
% 43.90/13.94  																																										| Equations (1723) can reduce 296 to:
% 43.90/13.94  																																										| (311) $false
% 43.90/13.94  																																										|
% 43.90/13.94  																																										|-The branch is then unsatisfiable
% 43.90/13.94  																																								|-Branch two:
% 43.90/13.94  																																								| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 43.90/13.94  																																								|
% 43.90/13.94  																																									| Applying alpha-rule on (596) yields:
% 43.90/13.94  																																									| (597) all_0_67_67 = e0
% 43.90/13.94  																																									| (598)  ~ (all_0_68_68 = e1)
% 43.90/13.94  																																									|
% 43.90/13.94  																																									| From (597) and (252) follows:
% 43.90/13.94  																																									| (8666) op(e1, all_0_97_97) = e0
% 43.90/13.94  																																									|
% 43.90/13.94  																																									+-Applying beta-rule and splitting (151), into two cases.
% 43.90/13.94  																																									|-Branch one:
% 43.90/13.94  																																									| (824) all_0_80_80 = e1
% 43.90/13.94  																																									|
% 43.90/13.94  																																										| Combining equations (824,433) yields a new equation:
% 43.90/13.94  																																										| (814) e4 = e1
% 43.90/13.94  																																										|
% 43.90/13.94  																																										| Equations (814) can reduce 256 to:
% 43.90/13.94  																																										| (311) $false
% 43.90/13.94  																																										|
% 43.90/13.94  																																										|-The branch is then unsatisfiable
% 43.90/13.94  																																									|-Branch two:
% 43.90/13.94  																																									| (828)  ~ (all_0_80_80 = e1)
% 43.90/13.94  																																									| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 43.90/13.94  																																									|
% 43.90/13.94  																																										| Equations (433) can reduce 828 to:
% 43.90/13.94  																																										| (256)  ~ (e4 = e1)
% 43.90/13.94  																																										|
% 43.90/13.94  																																										+-Applying beta-rule and splitting (132), into two cases.
% 43.90/13.94  																																										|-Branch one:
% 43.90/13.94  																																										| (750) all_0_90_90 = e1
% 43.90/13.94  																																										|
% 43.90/13.94  																																											| Combining equations (583,750) yields a new equation:
% 43.90/13.94  																																											| (813) e4 = e1
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Simplifying 813 yields:
% 43.90/13.94  																																											| (814) e4 = e1
% 43.90/13.94  																																											|
% 43.90/13.94  																																											| Equations (814) can reduce 256 to:
% 43.90/13.94  																																											| (311) $false
% 43.90/13.94  																																											|
% 43.90/13.94  																																											|-The branch is then unsatisfiable
% 43.90/13.94  																																										|-Branch two:
% 43.90/13.94  																																										| (678)  ~ (all_0_90_90 = e1)
% 43.90/13.94  																																										| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.94  																																										|
% 43.90/13.94  																																											+-Applying beta-rule and splitting (285), into two cases.
% 43.90/13.94  																																											|-Branch one:
% 43.90/13.94  																																											| (1708) all_0_79_79 = e3
% 43.90/13.94  																																											|
% 43.90/13.94  																																												| Combining equations (1708,457) yields a new equation:
% 43.90/13.94  																																												| (825) e3 = e1
% 43.90/13.94  																																												|
% 43.90/13.94  																																												| Simplifying 825 yields:
% 43.90/13.94  																																												| (772) e3 = e1
% 43.90/13.94  																																												|
% 43.90/13.94  																																												| Equations (772) can reduce 20 to:
% 43.90/13.94  																																												| (311) $false
% 43.90/13.94  																																												|
% 43.90/13.94  																																												|-The branch is then unsatisfiable
% 43.90/13.94  																																											|-Branch two:
% 43.90/13.94  																																											| (1711)  ~ (all_0_79_79 = e3)
% 43.90/13.94  																																											| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 43.90/13.94  																																											|
% 43.90/13.94  																																												+-Applying beta-rule and splitting (284), into two cases.
% 43.90/13.94  																																												|-Branch one:
% 43.90/13.94  																																												| (1723) all_0_91_91 = e2
% 43.90/13.94  																																												|
% 43.90/13.94  																																													| Equations (1723) can reduce 296 to:
% 43.90/13.94  																																													| (311) $false
% 43.90/13.94  																																													|
% 43.90/13.94  																																													|-The branch is then unsatisfiable
% 43.90/13.94  																																												|-Branch two:
% 43.90/13.94  																																												| (296)  ~ (all_0_91_91 = e2)
% 43.90/13.94  																																												| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 43.90/13.94  																																												|
% 43.90/13.94  																																													+-Applying beta-rule and splitting (176), into two cases.
% 43.90/13.94  																																													|-Branch one:
% 43.90/13.94  																																													| (785) all_0_95_95 = e1
% 43.90/13.94  																																													|
% 43.90/13.94  																																														| Combining equations (785,767) yields a new equation:
% 43.90/13.94  																																														| (385) e2 = e1
% 43.90/13.94  																																														|
% 43.90/13.94  																																														| Equations (385) can reduce 243 to:
% 43.90/13.94  																																														| (311) $false
% 43.90/13.94  																																														|
% 43.90/13.94  																																														|-The branch is then unsatisfiable
% 43.90/13.94  																																													|-Branch two:
% 43.90/13.94  																																													| (680)  ~ (all_0_95_95 = e1)
% 43.90/13.94  																																													| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 43.90/13.94  																																													|
% 43.90/13.94  																																														| Equations (767) can reduce 680 to:
% 43.90/13.94  																																														| (243)  ~ (e2 = e1)
% 43.90/13.94  																																														|
% 43.90/13.94  																																														+-Applying beta-rule and splitting (250), into two cases.
% 43.90/13.94  																																														|-Branch one:
% 43.90/13.94  																																														| (635) all_0_81_81 = e3
% 43.90/13.94  																																														|
% 43.90/13.94  																																															| Combining equations (635,473) yields a new equation:
% 43.90/13.94  																																															| (547) e3 = e2
% 43.90/13.94  																																															|
% 43.90/13.94  																																															| Simplifying 547 yields:
% 43.90/13.94  																																															| (548) e3 = e2
% 43.90/13.94  																																															|
% 43.90/13.94  																																															| Equations (548) can reduce 169 to:
% 43.90/13.94  																																															| (311) $false
% 43.90/13.94  																																															|
% 43.90/13.94  																																															|-The branch is then unsatisfiable
% 43.90/13.94  																																														|-Branch two:
% 43.90/13.94  																																														| (420)  ~ (all_0_81_81 = e3)
% 43.90/13.94  																																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 43.90/13.94  																																														|
% 43.90/13.94  																																															| Equations (473) can reduce 420 to:
% 43.90/13.94  																																															| (356)  ~ (e3 = e2)
% 43.90/13.94  																																															|
% 43.90/13.94  																																															| Simplifying 356 yields:
% 43.90/13.94  																																															| (169)  ~ (e3 = e2)
% 43.90/13.94  																																															|
% 43.90/13.94  																																															+-Applying beta-rule and splitting (291), into two cases.
% 43.90/13.94  																																															|-Branch one:
% 43.90/13.94  																																															| (758) all_0_90_90 = e0
% 43.90/13.94  																																															|
% 43.90/13.94  																																																| Combining equations (583,758) yields a new equation:
% 43.90/13.94  																																																| (911) e4 = e0
% 43.90/13.94  																																																|
% 43.90/13.94  																																																| Simplifying 911 yields:
% 43.90/13.94  																																																| (912) e4 = e0
% 43.90/13.94  																																																|
% 43.90/13.94  																																																| Equations (912) can reduce 23 to:
% 43.90/13.94  																																																| (311) $false
% 43.90/13.94  																																																|
% 43.90/13.94  																																																|-The branch is then unsatisfiable
% 43.90/13.94  																																															|-Branch two:
% 43.90/13.94  																																															| (762)  ~ (all_0_90_90 = e0)
% 43.90/13.94  																																															| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 43.90/13.94  																																															|
% 43.90/13.94  																																																+-Applying beta-rule and splitting (108), into two cases.
% 43.90/13.94  																																																|-Branch one:
% 43.90/13.94  																																																| (477) all_0_81_81 = e1
% 43.90/13.94  																																																|
% 43.90/13.94  																																																	| Combining equations (477,473) yields a new equation:
% 43.90/13.94  																																																	| (385) e2 = e1
% 43.90/13.94  																																																	|
% 43.90/13.94  																																																	| Equations (385) can reduce 243 to:
% 43.90/13.94  																																																	| (311) $false
% 43.90/13.94  																																																	|
% 43.90/13.94  																																																	|-The branch is then unsatisfiable
% 43.90/13.94  																																																|-Branch two:
% 43.90/13.94  																																																| (628)  ~ (all_0_81_81 = e1)
% 43.90/13.94  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.94  																																																|
% 43.90/13.94  																																																	+-Applying beta-rule and splitting (270), into two cases.
% 43.90/13.94  																																																	|-Branch one:
% 43.90/13.94  																																																	| (744) all_0_95_95 = e3
% 43.90/13.94  																																																	|
% 43.90/13.94  																																																		| Combining equations (744,767) yields a new equation:
% 43.90/13.94  																																																		| (547) e3 = e2
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																		| Simplifying 547 yields:
% 43.90/13.94  																																																		| (548) e3 = e2
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																		| Equations (548) can reduce 169 to:
% 43.90/13.94  																																																		| (311) $false
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																		|-The branch is then unsatisfiable
% 43.90/13.94  																																																	|-Branch two:
% 43.90/13.94  																																																	| (765)  ~ (all_0_95_95 = e3)
% 43.90/13.94  																																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 43.90/13.94  																																																	|
% 43.90/13.94  																																																		| Equations (767) can reduce 765 to:
% 43.90/13.94  																																																		| (356)  ~ (e3 = e2)
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																		| Simplifying 356 yields:
% 43.90/13.94  																																																		| (169)  ~ (e3 = e2)
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																		+-Applying beta-rule and splitting (2), into two cases.
% 43.90/13.94  																																																		|-Branch one:
% 43.90/13.94  																																																		| (916) all_0_84_84 = e0
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																			| Combining equations (916,1265) yields a new equation:
% 43.90/13.94  																																																			| (600) e3 = e0
% 43.90/13.94  																																																			|
% 43.90/13.94  																																																			| Equations (600) can reduce 50 to:
% 43.90/13.94  																																																			| (311) $false
% 43.90/13.94  																																																			|
% 43.90/13.94  																																																			|-The branch is then unsatisfiable
% 43.90/13.94  																																																		|-Branch two:
% 43.90/13.94  																																																		| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.94  																																																		| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.94  																																																		|
% 43.90/13.94  																																																			| Equations (1265) can reduce 919 to:
% 43.90/13.94  																																																			| (50)  ~ (e3 = e0)
% 43.90/13.94  																																																			|
% 43.90/13.94  																																																			+-Applying beta-rule and splitting (119), into two cases.
% 43.90/13.94  																																																			|-Branch one:
% 43.90/13.94  																																																			| (1343) all_0_92_92 = e2
% 43.90/13.94  																																																			|
% 43.90/13.94  																																																				| Equations (1343) can reduce 298 to:
% 43.90/13.94  																																																				| (311) $false
% 43.90/13.94  																																																				|
% 43.90/13.94  																																																				|-The branch is then unsatisfiable
% 43.90/13.94  																																																			|-Branch two:
% 43.90/13.94  																																																			| (298)  ~ (all_0_92_92 = e2)
% 43.90/13.94  																																																			| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 43.90/13.94  																																																			|
% 43.90/13.94  																																																				+-Applying beta-rule and splitting (48), into two cases.
% 43.90/13.94  																																																				|-Branch one:
% 43.90/13.94  																																																				| (525) all_0_98_98 = e2
% 43.90/13.94  																																																				|
% 43.90/13.94  																																																					| Equations (525) can reduce 1349 to:
% 43.90/13.94  																																																					| (311) $false
% 43.90/13.94  																																																					|
% 43.90/13.94  																																																					|-The branch is then unsatisfiable
% 43.90/13.94  																																																				|-Branch two:
% 43.90/13.94  																																																				| (1349)  ~ (all_0_98_98 = e2)
% 43.90/13.94  																																																				| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 43.90/13.94  																																																				|
% 43.90/13.94  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 43.90/13.94  																																																					|-Branch one:
% 43.90/13.94  																																																					| (1456) all_0_91_91 = e0
% 43.90/13.94  																																																					|
% 43.90/13.94  																																																						| Equations (1456) can reduce 265 to:
% 43.90/13.94  																																																						| (2299)  ~ (all_0_92_92 = e0)
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																						| Simplifying 2299 yields:
% 43.90/13.94  																																																						| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																						| Equations (1456) can reduce 296 to:
% 43.90/13.94  																																																						| (510)  ~ (e2 = e0)
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																						| Simplifying 510 yields:
% 43.90/13.94  																																																						| (76)  ~ (e2 = e0)
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																						| From (1456) and (1703) follows:
% 43.90/13.94  																																																						| (2305) op(e2, e0) = e1
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																						+-Applying beta-rule and splitting (1712), into two cases.
% 43.90/13.94  																																																						|-Branch one:
% 43.90/13.94  																																																						| (795) all_0_83_83 = e3
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																							| Combining equations (795,453) yields a new equation:
% 43.90/13.94  																																																							| (547) e3 = e2
% 43.90/13.94  																																																							|
% 43.90/13.94  																																																							| Simplifying 547 yields:
% 43.90/13.94  																																																							| (548) e3 = e2
% 43.90/13.94  																																																							|
% 43.90/13.94  																																																							| Equations (548) can reduce 169 to:
% 43.90/13.94  																																																							| (311) $false
% 43.90/13.94  																																																							|
% 43.90/13.94  																																																							|-The branch is then unsatisfiable
% 43.90/13.94  																																																						|-Branch two:
% 43.90/13.94  																																																						| (779)  ~ (all_0_83_83 = e3)
% 43.90/13.94  																																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 43.90/13.94  																																																						|
% 43.90/13.94  																																																							+-Applying beta-rule and splitting (920), into two cases.
% 43.90/13.94  																																																							|-Branch one:
% 43.90/13.94  																																																							| (861) all_0_87_87 = e0
% 43.90/13.94  																																																							|
% 43.90/13.94  																																																								| Combining equations (374,861) yields a new equation:
% 43.90/13.94  																																																								| (923) e2 = e0
% 43.90/13.94  																																																								|
% 43.90/13.94  																																																								| Simplifying 923 yields:
% 43.90/13.94  																																																								| (379) e2 = e0
% 43.90/13.94  																																																								|
% 43.90/13.94  																																																								| Equations (379) can reduce 76 to:
% 43.90/13.94  																																																								| (311) $false
% 43.90/13.94  																																																								|
% 43.90/13.94  																																																								|-The branch is then unsatisfiable
% 43.90/13.94  																																																							|-Branch two:
% 43.90/13.94  																																																							| (889)  ~ (all_0_87_87 = e0)
% 43.90/13.94  																																																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 43.90/13.94  																																																							|
% 43.90/13.94  																																																								+-Applying beta-rule and splitting (931), into two cases.
% 43.90/13.94  																																																								|-Branch one:
% 43.90/13.94  																																																								| (942) all_0_92_92 = e0
% 43.90/13.94  																																																								|
% 43.90/13.94  																																																									| Equations (942) can reduce 946 to:
% 43.90/13.94  																																																									| (311) $false
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									|-The branch is then unsatisfiable
% 43.90/13.94  																																																								|-Branch two:
% 43.90/13.94  																																																								| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.94  																																																								| (560) all_0_97_97 = e0
% 43.90/13.94  																																																								|
% 43.90/13.94  																																																									| Equations (560) can reduce 258 to:
% 43.90/13.94  																																																									| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									| Equations (560) can reduce 148 to:
% 43.90/13.94  																																																									| (2058)  ~ (all_0_98_98 = e0)
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									| Simplifying 2058 yields:
% 43.90/13.94  																																																									| (2059)  ~ (all_0_98_98 = e0)
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									| Equations (560) can reduce 428 to:
% 43.90/13.94  																																																									| (906)  ~ (e3 = e0)
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									| Simplifying 906 yields:
% 43.90/13.94  																																																									| (50)  ~ (e3 = e0)
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																									+-Applying beta-rule and splitting (1842), into two cases.
% 43.90/13.94  																																																									|-Branch one:
% 43.90/13.94  																																																									| (588) all_0_91_91 = e3
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																										| Combining equations (1456,588) yields a new equation:
% 43.90/13.94  																																																										| (600) e3 = e0
% 43.90/13.94  																																																										|
% 43.90/13.94  																																																										| Equations (600) can reduce 50 to:
% 43.90/13.94  																																																										| (311) $false
% 43.90/13.94  																																																										|
% 43.90/13.94  																																																										|-The branch is then unsatisfiable
% 43.90/13.94  																																																									|-Branch two:
% 43.90/13.94  																																																									| (571)  ~ (all_0_91_91 = e3)
% 43.90/13.94  																																																									| (778) all_0_96_96 = e3
% 43.90/13.94  																																																									|
% 43.90/13.94  																																																										+-Applying beta-rule and splitting (3735), into two cases.
% 43.90/13.94  																																																										|-Branch one:
% 43.90/13.94  																																																										| (836) all_0_92_92 = e1
% 43.90/13.94  																																																										|
% 43.90/13.94  																																																											| Equations (836) can reduce 426 to:
% 43.90/13.94  																																																											| (683)  ~ (e3 = e1)
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																											| Simplifying 683 yields:
% 43.90/13.94  																																																											| (20)  ~ (e3 = e1)
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																											| Equations (836) can reduce 946 to:
% 43.90/13.94  																																																											| (264)  ~ (e1 = e0)
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																											+-Applying beta-rule and splitting (788), into two cases.
% 43.90/13.94  																																																											|-Branch one:
% 43.90/13.94  																																																											| (960) all_0_96_96 = e1
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																												| Combining equations (778,960) yields a new equation:
% 43.90/13.94  																																																												| (825) e3 = e1
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																												| Simplifying 825 yields:
% 43.90/13.94  																																																												| (772) e3 = e1
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																												| Equations (772) can reduce 20 to:
% 43.90/13.94  																																																												| (311) $false
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																												|-The branch is then unsatisfiable
% 43.90/13.94  																																																											|-Branch two:
% 43.90/13.94  																																																											| (1479)  ~ (all_0_96_96 = e1)
% 43.90/13.94  																																																											| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																												+-Applying beta-rule and splitting (817), into two cases.
% 43.90/13.94  																																																												|-Branch one:
% 43.90/13.94  																																																												| (504) all_0_88_88 = e1
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																													| Combining equations (504,507) yields a new equation:
% 43.90/13.94  																																																													| (1107) e1 = e0
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																													| Simplifying 1107 yields:
% 43.90/13.94  																																																													| (865) e1 = e0
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																													| Equations (865) can reduce 264 to:
% 43.90/13.94  																																																													| (311) $false
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																													|-The branch is then unsatisfiable
% 43.90/13.94  																																																												|-Branch two:
% 43.90/13.94  																																																												| (479)  ~ (all_0_88_88 = e1)
% 43.90/13.94  																																																												| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																													| Equations (507) can reduce 479 to:
% 43.90/13.94  																																																													| (859)  ~ (e1 = e0)
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																													| Simplifying 859 yields:
% 43.90/13.94  																																																													| (264)  ~ (e1 = e0)
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																													+-Applying beta-rule and splitting (5118), into two cases.
% 43.90/13.94  																																																													|-Branch one:
% 43.90/13.94  																																																													| (1543) all_0_98_98 = e1
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																														| Equations (1543) can reduce 2059 to:
% 43.90/13.94  																																																														| (264)  ~ (e1 = e0)
% 43.90/13.94  																																																														|
% 43.90/13.94  																																																														| Instantiating formula (262) with e2, e0, e1, e0 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 43.90/13.94  																																																														| (865) e1 = e0
% 43.90/13.94  																																																														|
% 43.90/13.94  																																																														| Equations (865) can reduce 264 to:
% 43.90/13.94  																																																														| (311) $false
% 43.90/13.94  																																																														|
% 43.90/13.94  																																																														|-The branch is then unsatisfiable
% 43.90/13.94  																																																													|-Branch two:
% 43.90/13.94  																																																													| (1804)  ~ (all_0_98_98 = e1)
% 43.90/13.94  																																																													| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 43.90/13.94  																																																													|
% 43.90/13.94  																																																														+-Applying beta-rule and splitting (2126), into two cases.
% 43.90/13.94  																																																														|-Branch one:
% 43.90/13.94  																																																														| (542) all_0_97_97 = e1
% 43.90/13.94  																																																														|
% 43.90/13.94  																																																															| Combining equations (542,560) yields a new equation:
% 43.90/13.94  																																																															| (1107) e1 = e0
% 43.90/13.94  																																																															|
% 43.90/13.94  																																																															| Simplifying 1107 yields:
% 43.90/13.94  																																																															| (865) e1 = e0
% 43.90/13.94  																																																															|
% 43.90/13.94  																																																															| Equations (865) can reduce 264 to:
% 43.90/13.94  																																																															| (311) $false
% 43.90/13.94  																																																															|
% 43.90/13.94  																																																															|-The branch is then unsatisfiable
% 43.90/13.94  																																																														|-Branch two:
% 43.90/13.94  																																																														| (486)  ~ (all_0_97_97 = e1)
% 43.90/13.94  																																																														| (1543) all_0_98_98 = e1
% 43.90/13.94  																																																														|
% 43.90/13.94  																																																															| Equations (1543) can reduce 1804 to:
% 43.90/13.94  																																																															| (311) $false
% 43.90/13.94  																																																															|
% 43.90/13.94  																																																															|-The branch is then unsatisfiable
% 43.90/13.94  																																																										|-Branch two:
% 43.90/13.94  																																																										| (840)  ~ (all_0_92_92 = e1)
% 43.90/13.94  																																																										| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 43.90/13.94  																																																										|
% 43.90/13.94  																																																											+-Applying beta-rule and splitting (3800), into two cases.
% 43.90/13.94  																																																											|-Branch one:
% 43.90/13.94  																																																											| (882) all_0_92_92 = e3
% 43.90/13.94  																																																											|
% 43.90/13.94  																																																												| Equations (882) can reduce 426 to:
% 43.90/13.94  																																																												| (311) $false
% 43.90/13.94  																																																												|
% 43.90/13.94  																																																												|-The branch is then unsatisfiable
% 43.90/13.94  																																																											|-Branch two:
% 43.90/13.94  																																																											| (426)  ~ (all_0_92_92 = e3)
% 43.90/13.94  																																																											| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 43.90/13.94  																																																											|
% 43.90/13.95  																																																												+-Applying beta-rule and splitting (16683), into two cases.
% 43.90/13.95  																																																												|-Branch one:
% 43.90/13.95  																																																												| (942) all_0_92_92 = e0
% 43.90/13.95  																																																												|
% 43.90/13.95  																																																													| Equations (942) can reduce 946 to:
% 43.90/13.95  																																																													| (311) $false
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																													|-The branch is then unsatisfiable
% 43.90/13.95  																																																												|-Branch two:
% 43.90/13.95  																																																												| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.95  																																																												| (442) all_0_92_92 = e4
% 43.90/13.95  																																																												|
% 43.90/13.95  																																																													| Equations (442) can reduce 1619 to:
% 43.90/13.95  																																																													| (311) $false
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																													|-The branch is then unsatisfiable
% 43.90/13.95  																																																					|-Branch two:
% 43.90/13.95  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.95  																																																					| (1837) all_0_96_96 = e0
% 43.90/13.95  																																																					|
% 43.90/13.95  																																																						| Equations (1837) can reduce 64 to:
% 43.90/13.95  																																																						| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.95  																																																						|
% 43.90/13.95  																																																						| Equations (1837) can reduce 1479 to:
% 43.90/13.95  																																																						| (859)  ~ (e1 = e0)
% 43.90/13.95  																																																						|
% 43.90/13.95  																																																						| Simplifying 859 yields:
% 43.90/13.95  																																																						| (264)  ~ (e1 = e0)
% 43.90/13.95  																																																						|
% 43.90/13.95  																																																						+-Applying beta-rule and splitting (1712), into two cases.
% 43.90/13.95  																																																						|-Branch one:
% 43.90/13.95  																																																						| (795) all_0_83_83 = e3
% 43.90/13.95  																																																						|
% 43.90/13.95  																																																							| Combining equations (795,453) yields a new equation:
% 43.90/13.95  																																																							| (547) e3 = e2
% 43.90/13.95  																																																							|
% 43.90/13.95  																																																							| Simplifying 547 yields:
% 43.90/13.95  																																																							| (548) e3 = e2
% 43.90/13.95  																																																							|
% 43.90/13.95  																																																							| Equations (548) can reduce 169 to:
% 43.90/13.95  																																																							| (311) $false
% 43.90/13.95  																																																							|
% 43.90/13.95  																																																							|-The branch is then unsatisfiable
% 43.90/13.95  																																																						|-Branch two:
% 43.90/13.95  																																																						| (779)  ~ (all_0_83_83 = e3)
% 43.90/13.95  																																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 43.90/13.95  																																																						|
% 43.90/13.95  																																																							+-Applying beta-rule and splitting (1726), into two cases.
% 43.90/13.95  																																																							|-Branch one:
% 43.90/13.95  																																																							| (801) all_0_91_91 = e1
% 43.90/13.95  																																																							|
% 43.90/13.95  																																																								| Equations (801) can reduce 959 to:
% 43.90/13.95  																																																								| (311) $false
% 43.90/13.95  																																																								|
% 43.90/13.95  																																																								|-The branch is then unsatisfiable
% 43.90/13.95  																																																							|-Branch two:
% 43.90/13.95  																																																							| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.95  																																																							| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 43.90/13.95  																																																							|
% 43.90/13.95  																																																								+-Applying beta-rule and splitting (1842), into two cases.
% 43.90/13.95  																																																								|-Branch one:
% 43.90/13.95  																																																								| (588) all_0_91_91 = e3
% 43.90/13.95  																																																								|
% 43.90/13.95  																																																									| Equations (588) can reduce 44 to:
% 43.90/13.95  																																																									| (807)  ~ (all_0_93_93 = e3)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Simplifying 807 yields:
% 43.90/13.95  																																																									| (602)  ~ (all_0_93_93 = e3)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Equations (588) can reduce 133 to:
% 43.90/13.95  																																																									| (783)  ~ (e4 = e3)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Simplifying 783 yields:
% 43.90/13.95  																																																									| (177)  ~ (e4 = e3)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Equations (588) can reduce 959 to:
% 43.90/13.95  																																																									| (20)  ~ (e3 = e1)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Equations (588) can reduce 1487 to:
% 43.90/13.95  																																																									| (50)  ~ (e3 = e0)
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									+-Applying beta-rule and splitting (4488), into two cases.
% 43.90/13.95  																																																									|-Branch one:
% 43.90/13.95  																																																									| (804) all_0_85_85 = e3
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																										| Combining equations (804,493) yields a new equation:
% 43.90/13.95  																																																										| (434) e4 = e3
% 43.90/13.95  																																																										|
% 43.90/13.95  																																																										| Equations (434) can reduce 177 to:
% 43.90/13.95  																																																										| (311) $false
% 43.90/13.95  																																																										|
% 43.90/13.95  																																																										|-The branch is then unsatisfiable
% 43.90/13.95  																																																									|-Branch two:
% 43.90/13.95  																																																									| (952)  ~ (all_0_85_85 = e3)
% 43.90/13.95  																																																									| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																										+-Applying beta-rule and splitting (1455), into two cases.
% 43.90/13.95  																																																										|-Branch one:
% 43.90/13.95  																																																										| (1456) all_0_91_91 = e0
% 43.90/13.95  																																																										|
% 43.90/13.95  																																																											| Combining equations (588,1456) yields a new equation:
% 43.90/13.95  																																																											| (599) e3 = e0
% 43.90/13.95  																																																											|
% 43.90/13.95  																																																											| Simplifying 599 yields:
% 43.90/13.95  																																																											| (600) e3 = e0
% 43.90/13.95  																																																											|
% 43.90/13.95  																																																											| Equations (600) can reduce 50 to:
% 43.90/13.95  																																																											| (311) $false
% 43.90/13.95  																																																											|
% 43.90/13.95  																																																											|-The branch is then unsatisfiable
% 43.90/13.95  																																																										|-Branch two:
% 43.90/13.95  																																																										| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.95  																																																										| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 43.90/13.95  																																																										|
% 43.90/13.95  																																																											+-Applying beta-rule and splitting (4559), into two cases.
% 43.90/13.95  																																																											|-Branch one:
% 43.90/13.95  																																																											| (570) all_0_93_93 = e3
% 43.90/13.95  																																																											|
% 43.90/13.95  																																																												| Equations (570) can reduce 602 to:
% 43.90/13.95  																																																												| (311) $false
% 43.90/13.95  																																																												|
% 43.90/13.95  																																																												|-The branch is then unsatisfiable
% 43.90/13.95  																																																											|-Branch two:
% 43.90/13.95  																																																											| (602)  ~ (all_0_93_93 = e3)
% 43.90/13.95  																																																											| (969) all_0_98_98 = e3
% 43.90/13.95  																																																											|
% 43.90/13.95  																																																												+-Applying beta-rule and splitting (1488), into two cases.
% 43.90/13.95  																																																												|-Branch one:
% 43.90/13.95  																																																												| (942) all_0_92_92 = e0
% 43.90/13.95  																																																												|
% 43.90/13.95  																																																													| Equations (942) can reduce 258 to:
% 43.90/13.95  																																																													| (938)  ~ (all_0_97_97 = e0)
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																													| Simplifying 938 yields:
% 43.90/13.95  																																																													| (609)  ~ (all_0_97_97 = e0)
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																													+-Applying beta-rule and splitting (1526), into two cases.
% 43.90/13.95  																																																													|-Branch one:
% 43.90/13.95  																																																													| (801) all_0_91_91 = e1
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																														| Combining equations (588,801) yields a new equation:
% 43.90/13.95  																																																														| (825) e3 = e1
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																														| Simplifying 825 yields:
% 43.90/13.95  																																																														| (772) e3 = e1
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																														| Equations (772) can reduce 20 to:
% 43.90/13.95  																																																														| (311) $false
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																														|-The branch is then unsatisfiable
% 43.90/13.95  																																																													|-Branch two:
% 43.90/13.95  																																																													| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.95  																																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																														| Equations (588) can reduce 959 to:
% 43.90/13.95  																																																														| (20)  ~ (e3 = e1)
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																														+-Applying beta-rule and splitting (788), into two cases.
% 43.90/13.95  																																																														|-Branch one:
% 43.90/13.95  																																																														| (960) all_0_96_96 = e1
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																															| Combining equations (1837,960) yields a new equation:
% 43.90/13.95  																																																															| (865) e1 = e0
% 43.90/13.95  																																																															|
% 43.90/13.95  																																																															| Equations (865) can reduce 264 to:
% 43.90/13.95  																																																															| (311) $false
% 43.90/13.95  																																																															|
% 43.90/13.95  																																																															|-The branch is then unsatisfiable
% 43.90/13.95  																																																														|-Branch two:
% 43.90/13.95  																																																														| (1479)  ~ (all_0_96_96 = e1)
% 43.90/13.95  																																																														| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 43.90/13.95  																																																														|
% 43.90/13.95  																																																															+-Applying beta-rule and splitting (2126), into two cases.
% 43.90/13.95  																																																															|-Branch one:
% 43.90/13.95  																																																															| (542) all_0_97_97 = e1
% 43.90/13.95  																																																															|
% 43.90/13.95  																																																																| Equations (542) can reduce 609 to:
% 43.90/13.95  																																																																| (264)  ~ (e1 = e0)
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																| From (542) and (8666) follows:
% 43.90/13.95  																																																																| (4548) op(e1, e1) = e0
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																+-Applying beta-rule and splitting (817), into two cases.
% 43.90/13.95  																																																																|-Branch one:
% 43.90/13.95  																																																																| (504) all_0_88_88 = e1
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																	| Combining equations (504,507) yields a new equation:
% 43.90/13.95  																																																																	| (1107) e1 = e0
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																	| Simplifying 1107 yields:
% 43.90/13.95  																																																																	| (865) e1 = e0
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																	| Equations (865) can reduce 264 to:
% 43.90/13.95  																																																																	| (311) $false
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																	|-The branch is then unsatisfiable
% 43.90/13.95  																																																																|-Branch two:
% 43.90/13.95  																																																																| (479)  ~ (all_0_88_88 = e1)
% 43.90/13.95  																																																																| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																	| Equations (507) can reduce 479 to:
% 43.90/13.95  																																																																	| (859)  ~ (e1 = e0)
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																	| Simplifying 859 yields:
% 43.90/13.95  																																																																	| (264)  ~ (e1 = e0)
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																	+-Applying beta-rule and splitting (1556), into two cases.
% 43.90/13.95  																																																																	|-Branch one:
% 43.90/13.95  																																																																	| (836) all_0_92_92 = e1
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																		| Combining equations (942,836) yields a new equation:
% 43.90/13.95  																																																																		| (865) e1 = e0
% 43.90/13.95  																																																																		|
% 43.90/13.95  																																																																		| Equations (865) can reduce 264 to:
% 43.90/13.95  																																																																		| (311) $false
% 43.90/13.95  																																																																		|
% 43.90/13.95  																																																																		|-The branch is then unsatisfiable
% 43.90/13.95  																																																																	|-Branch two:
% 43.90/13.95  																																																																	| (840)  ~ (all_0_92_92 = e1)
% 43.90/13.95  																																																																	| (566) all_0_93_93 = e1
% 43.90/13.95  																																																																	|
% 43.90/13.95  																																																																		| From (566) and (21) follows:
% 43.90/13.95  																																																																		| (14721) op(e1, e1) = all_0_76_76
% 43.90/13.95  																																																																		|
% 43.90/13.95  																																																																		| Instantiating formula (262) with e1, e1, e0, all_0_76_76 and discharging atoms op(e1, e1) = all_0_76_76, op(e1, e1) = e0, yields:
% 43.90/13.95  																																																																		| (8960) all_0_76_76 = e0
% 43.90/13.95  																																																																		|
% 43.90/13.95  																																																																		| Equations (8960) can reduce 1393 to:
% 43.90/13.95  																																																																		| (311) $false
% 43.90/13.95  																																																																		|
% 43.90/13.95  																																																																		|-The branch is then unsatisfiable
% 43.90/13.95  																																																															|-Branch two:
% 43.90/13.95  																																																															| (486)  ~ (all_0_97_97 = e1)
% 43.90/13.95  																																																															| (1543) all_0_98_98 = e1
% 43.90/13.95  																																																															|
% 43.90/13.95  																																																																| Combining equations (1543,969) yields a new equation:
% 43.90/13.95  																																																																| (772) e3 = e1
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																| Equations (772) can reduce 20 to:
% 43.90/13.95  																																																																| (311) $false
% 43.90/13.95  																																																																|
% 43.90/13.95  																																																																|-The branch is then unsatisfiable
% 43.90/13.95  																																																												|-Branch two:
% 43.90/13.95  																																																												| (946)  ~ (all_0_92_92 = e0)
% 43.90/13.95  																																																												| (604) all_0_93_93 = e0
% 43.90/13.95  																																																												|
% 43.90/13.95  																																																													| Equations (604) can reduce 509 to:
% 43.90/13.95  																																																													| (311) $false
% 43.90/13.95  																																																													|
% 43.90/13.95  																																																													|-The branch is then unsatisfiable
% 43.90/13.95  																																																								|-Branch two:
% 43.90/13.95  																																																								| (571)  ~ (all_0_91_91 = e3)
% 43.90/13.95  																																																								| (778) all_0_96_96 = e3
% 43.90/13.95  																																																								|
% 43.90/13.95  																																																									| Combining equations (778,1837) yields a new equation:
% 43.90/13.95  																																																									| (599) e3 = e0
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Simplifying 599 yields:
% 43.90/13.95  																																																									| (600) e3 = e0
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									| Equations (600) can reduce 50 to:
% 43.90/13.95  																																																									| (311) $false
% 43.90/13.95  																																																									|
% 43.90/13.95  																																																									|-The branch is then unsatisfiable
% 43.90/13.95  																																						|-Branch two:
% 43.90/13.95  																																						| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.95  																																						| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.90/13.95  																																						|
% 43.90/13.95  																																							+-Applying beta-rule and splitting (1268), into two cases.
% 43.90/13.95  																																							|-Branch one:
% 43.90/13.95  																																							| (916) all_0_84_84 = e0
% 43.90/13.95  																																							|
% 43.90/13.95  																																								| Equations (916) can reduce 919 to:
% 43.90/13.95  																																								| (311) $false
% 43.90/13.95  																																								|
% 43.90/13.95  																																								|-The branch is then unsatisfiable
% 43.90/13.95  																																							|-Branch two:
% 43.90/13.95  																																							| (919)  ~ (all_0_84_84 = e0)
% 43.90/13.95  																																							| (438) all_0_84_84 = e4
% 43.90/13.95  																																							|
% 43.90/13.95  																																								| Equations (438) can reduce 417 to:
% 43.90/13.95  																																								| (311) $false
% 43.90/13.95  																																								|
% 43.90/13.95  																																								|-The branch is then unsatisfiable
% 43.90/13.95  																																|-Branch two:
% 43.90/13.95  																																| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.95  																																| (469) all_0_82_82 = e4
% 43.90/13.95  																																|
% 43.90/13.95  																																	| Equations (469) can reduce 465 to:
% 43.90/13.95  																																	| (311) $false
% 43.90/13.95  																																	|
% 43.90/13.95  																																	|-The branch is then unsatisfiable
% 43.90/13.95  																										|-Branch two:
% 43.90/13.95  																										| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 43.90/13.95  																										|
% 43.90/13.95  																											| Applying alpha-rule on (4957) yields:
% 43.90/13.95  																											| (4958) all_0_58_58 = e0
% 43.90/13.95  																											| (4959)  ~ (all_0_59_59 = e2)
% 43.90/13.95  																											|
% 43.90/13.95  																											| From (4958) and (212) follows:
% 43.90/13.95  																											| (4960) op(e2, all_0_96_96) = e0
% 43.90/13.95  																											|
% 43.90/13.95  																											+-Applying beta-rule and splitting (109), into two cases.
% 43.90/13.95  																											|-Branch one:
% 43.90/13.95  																											| (469) all_0_82_82 = e4
% 43.90/13.95  																											|
% 43.90/13.96  																												| Equations (469) can reduce 255 to:
% 43.90/13.96  																												| (466)  ~ (all_0_90_90 = e4)
% 43.90/13.96  																												|
% 43.90/13.96  																												| Simplifying 466 yields:
% 43.90/13.96  																												| (467)  ~ (all_0_90_90 = e4)
% 43.90/13.96  																												|
% 43.90/13.96  																												| Equations (469) can reduce 347 to:
% 43.90/13.96  																												| (79)  ~ (e4 = e2)
% 43.90/13.96  																												|
% 43.90/13.96  																												| Equations (469) can reduce 198 to:
% 43.90/13.96  																												| (256)  ~ (e4 = e1)
% 43.90/13.96  																												|
% 43.90/13.96  																												+-Applying beta-rule and splitting (254), into two cases.
% 43.90/13.96  																												|-Branch one:
% 43.90/13.96  																												| (910) all_0_82_82 = e0
% 43.90/13.96  																												|
% 43.90/13.96  																													| Combining equations (469,910) yields a new equation:
% 43.90/13.96  																													| (911) e4 = e0
% 43.90/13.96  																													|
% 43.90/13.96  																													| Simplifying 911 yields:
% 43.90/13.96  																													| (912) e4 = e0
% 43.90/13.96  																													|
% 43.90/13.96  																													| Equations (912) can reduce 23 to:
% 43.90/13.96  																													| (311) $false
% 43.90/13.96  																													|
% 43.90/13.96  																													|-The branch is then unsatisfiable
% 43.90/13.96  																												|-Branch two:
% 43.90/13.96  																												| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.96  																												| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.96  																												|
% 43.90/13.96  																													+-Applying beta-rule and splitting (27), into two cases.
% 43.90/13.96  																													|-Branch one:
% 43.90/13.96  																													| (746) all_0_90_90 = e2
% 43.90/13.96  																													|
% 43.90/13.96  																														| Equations (746) can reduce 294 to:
% 43.90/13.96  																														| (311) $false
% 43.90/13.96  																														|
% 43.90/13.96  																														|-The branch is then unsatisfiable
% 43.90/13.96  																													|-Branch two:
% 43.90/13.96  																													| (294)  ~ (all_0_90_90 = e2)
% 43.90/13.96  																													| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 43.90/13.96  																													|
% 43.90/13.96  																														+-Applying beta-rule and splitting (915), into two cases.
% 43.90/13.96  																														|-Branch one:
% 43.90/13.96  																														| (378) all_0_86_86 = e0
% 43.90/13.96  																														|
% 43.90/13.96  																															| Combining equations (384,378) yields a new equation:
% 43.90/13.96  																															| (1107) e1 = e0
% 43.90/13.96  																															|
% 43.90/13.96  																															| Simplifying 1107 yields:
% 43.90/13.96  																															| (865) e1 = e0
% 43.90/13.96  																															|
% 43.90/13.96  																															| Equations (865) can reduce 264 to:
% 43.90/13.96  																															| (311) $false
% 43.90/13.96  																															|
% 43.90/13.96  																															|-The branch is then unsatisfiable
% 43.90/13.96  																														|-Branch two:
% 43.90/13.96  																														| (381)  ~ (all_0_86_86 = e0)
% 43.90/13.96  																														| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 43.90/13.96  																														|
% 43.90/13.96  																															+-Applying beta-rule and splitting (46), into two cases.
% 43.90/13.96  																															|-Branch one:
% 43.90/13.96  																															| (308) all_0_89_89 = e4
% 43.90/13.96  																															|
% 43.90/13.96  																																| Combining equations (292,308) yields a new equation:
% 43.90/13.96  																																| (310) e4 = e2
% 43.90/13.96  																																|
% 43.90/13.96  																																| Equations (310) can reduce 79 to:
% 43.90/13.96  																																| (311) $false
% 43.90/13.96  																																|
% 43.90/13.96  																																|-The branch is then unsatisfiable
% 43.90/13.96  																															|-Branch two:
% 43.90/13.96  																															| (312)  ~ (all_0_89_89 = e4)
% 43.90/13.96  																															| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 43.90/13.96  																															|
% 43.90/13.96  																																+-Applying beta-rule and splitting (182), into two cases.
% 43.90/13.96  																																|-Branch one:
% 43.90/13.96  																																| (512) all_0_85_85 = e2
% 43.90/13.96  																																|
% 43.90/13.96  																																	| Equations (512) can reduce 515 to:
% 43.90/13.96  																																	| (311) $false
% 43.90/13.96  																																	|
% 43.90/13.96  																																	|-The branch is then unsatisfiable
% 43.90/13.96  																																|-Branch two:
% 43.90/13.96  																																| (515)  ~ (all_0_85_85 = e2)
% 43.90/13.96  																																| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 43.90/13.96  																																|
% 43.90/13.96  																																	+-Applying beta-rule and splitting (1915), into two cases.
% 43.90/13.96  																																	|-Branch one:
% 43.90/13.96  																																	| (583) all_0_90_90 = e4
% 43.90/13.96  																																	|
% 43.90/13.96  																																		| Equations (583) can reduce 467 to:
% 43.90/13.96  																																		| (311) $false
% 43.90/13.96  																																		|
% 43.90/13.96  																																		|-The branch is then unsatisfiable
% 43.90/13.96  																																	|-Branch two:
% 43.90/13.96  																																	| (467)  ~ (all_0_90_90 = e4)
% 43.90/13.96  																																	| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 43.90/13.96  																																	|
% 43.90/13.96  																																		+-Applying beta-rule and splitting (1928), into two cases.
% 43.90/13.96  																																		|-Branch one:
% 43.90/13.96  																																		| (442) all_0_92_92 = e4
% 43.90/13.96  																																		|
% 43.90/13.96  																																			| Equations (442) can reduce 1619 to:
% 43.90/13.96  																																			| (311) $false
% 43.90/13.96  																																			|
% 43.90/13.96  																																			|-The branch is then unsatisfiable
% 43.90/13.96  																																		|-Branch two:
% 43.90/13.96  																																		| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.96  																																		| (607) all_0_93_93 = e4
% 43.90/13.96  																																		|
% 43.90/13.96  																																			| Equations (607) can reduce 201 to:
% 43.90/13.96  																																			| (648)  ~ (all_0_85_85 = e4)
% 43.90/13.96  																																			|
% 43.90/13.96  																																			| Equations (607) can reduce 44 to:
% 43.90/13.96  																																			| (133)  ~ (all_0_91_91 = e4)
% 43.90/13.96  																																			|
% 43.90/13.96  																																			| Equations (607) can reduce 283 to:
% 43.90/13.96  																																			| (1619)  ~ (all_0_92_92 = e4)
% 43.90/13.96  																																			|
% 43.90/13.96  																																			| Equations (607) can reduce 509 to:
% 43.90/13.96  																																			| (23)  ~ (e4 = e0)
% 43.90/13.96  																																			|
% 43.90/13.96  																																			+-Applying beta-rule and splitting (132), into two cases.
% 43.90/13.96  																																			|-Branch one:
% 43.90/13.96  																																			| (750) all_0_90_90 = e1
% 43.90/13.96  																																			|
% 43.90/13.96  																																				| Equations (750) can reduce 678 to:
% 43.90/13.96  																																				| (311) $false
% 43.90/13.96  																																				|
% 43.90/13.96  																																				|-The branch is then unsatisfiable
% 43.90/13.96  																																			|-Branch two:
% 43.90/13.96  																																			| (678)  ~ (all_0_90_90 = e1)
% 43.90/13.96  																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.96  																																			|
% 43.90/13.96  																																				+-Applying beta-rule and splitting (249), into two cases.
% 43.90/13.96  																																				|-Branch one:
% 43.90/13.96  																																				| (910) all_0_82_82 = e0
% 43.90/13.96  																																				|
% 43.90/13.96  																																					| Combining equations (469,910) yields a new equation:
% 43.90/13.96  																																					| (911) e4 = e0
% 43.90/13.96  																																					|
% 43.90/13.96  																																					| Simplifying 911 yields:
% 43.90/13.96  																																					| (912) e4 = e0
% 43.90/13.96  																																					|
% 43.90/13.96  																																					| Equations (912) can reduce 23 to:
% 43.90/13.96  																																					| (311) $false
% 43.90/13.96  																																					|
% 43.90/13.96  																																					|-The branch is then unsatisfiable
% 43.90/13.96  																																				|-Branch two:
% 43.90/13.96  																																				| (914)  ~ (all_0_82_82 = e0)
% 43.90/13.96  																																				| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 43.90/13.96  																																				|
% 43.90/13.96  																																					+-Applying beta-rule and splitting (108), into two cases.
% 43.90/13.96  																																					|-Branch one:
% 43.90/13.96  																																					| (477) all_0_81_81 = e1
% 43.90/13.96  																																					|
% 43.90/13.96  																																						| Combining equations (473,477) yields a new equation:
% 43.90/13.96  																																						| (408) e2 = e1
% 43.90/13.96  																																						|
% 43.90/13.96  																																						| Simplifying 408 yields:
% 43.90/13.96  																																						| (385) e2 = e1
% 43.90/13.96  																																						|
% 43.90/13.96  																																						| Equations (385) can reduce 243 to:
% 43.90/13.96  																																						| (311) $false
% 43.90/13.96  																																						|
% 43.90/13.96  																																						|-The branch is then unsatisfiable
% 43.90/13.96  																																					|-Branch two:
% 43.90/13.96  																																					| (628)  ~ (all_0_81_81 = e1)
% 43.90/13.96  																																					| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.96  																																					|
% 43.90/13.96  																																						+-Applying beta-rule and splitting (927), into two cases.
% 43.90/13.96  																																						|-Branch one:
% 43.90/13.96  																																						| (758) all_0_90_90 = e0
% 43.90/13.96  																																						|
% 43.90/13.96  																																							| Equations (758) can reduce 103 to:
% 43.90/13.96  																																							| (1830)  ~ (all_0_91_91 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| Simplifying 1830 yields:
% 43.90/13.96  																																							| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| Equations (758) can reduce 294 to:
% 43.90/13.96  																																							| (510)  ~ (e2 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| Simplifying 510 yields:
% 43.90/13.96  																																							| (76)  ~ (e2 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| Equations (758) can reduce 678 to:
% 43.90/13.96  																																							| (859)  ~ (e1 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| Simplifying 859 yields:
% 43.90/13.96  																																							| (264)  ~ (e1 = e0)
% 43.90/13.96  																																							|
% 43.90/13.96  																																							| From (758) and (743) follows:
% 43.90/13.96  																																							| (759) op(e3, e0) = e1
% 43.90/13.96  																																							|
% 43.90/13.96  																																							+-Applying beta-rule and splitting (725), into two cases.
% 43.90/13.96  																																							|-Branch one:
% 43.90/13.96  																																							| (804) all_0_85_85 = e3
% 43.90/13.96  																																							|
% 43.90/13.96  																																								| Equations (804) can reduce 154 to:
% 43.90/13.96  																																								| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| Equations (804) can reduce 75 to:
% 43.90/13.96  																																								| (1518)  ~ (all_0_98_98 = e3)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| Simplifying 1518 yields:
% 43.90/13.96  																																								| (1519)  ~ (all_0_98_98 = e3)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| Equations (804) can reduce 648 to:
% 43.90/13.96  																																								| (783)  ~ (e4 = e3)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| Simplifying 783 yields:
% 43.90/13.96  																																								| (177)  ~ (e4 = e3)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| Equations (804) can reduce 800 to:
% 43.90/13.96  																																								| (50)  ~ (e3 = e0)
% 43.90/13.96  																																								|
% 43.90/13.96  																																								| From (804) and (8) follows:
% 43.90/13.96  																																								| (1048) op(e3, e0) = e3
% 43.90/13.96  																																								|
% 43.90/13.96  																																								+-Applying beta-rule and splitting (1526), into two cases.
% 43.90/13.96  																																								|-Branch one:
% 43.90/13.96  																																								| (801) all_0_91_91 = e1
% 43.90/13.96  																																								|
% 43.90/13.96  																																									| Equations (801) can reduce 959 to:
% 43.90/13.96  																																									| (311) $false
% 43.90/13.96  																																									|
% 43.90/13.96  																																									|-The branch is then unsatisfiable
% 43.90/13.96  																																								|-Branch two:
% 43.90/13.96  																																								| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.96  																																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 43.90/13.96  																																								|
% 43.90/13.96  																																									+-Applying beta-rule and splitting (817), into two cases.
% 43.90/13.96  																																									|-Branch one:
% 43.90/13.96  																																									| (504) all_0_88_88 = e1
% 43.90/13.96  																																									|
% 43.90/13.96  																																										| Combining equations (504,507) yields a new equation:
% 43.90/13.96  																																										| (1107) e1 = e0
% 43.90/13.96  																																										|
% 43.90/13.96  																																										| Simplifying 1107 yields:
% 43.90/13.96  																																										| (865) e1 = e0
% 43.90/13.96  																																										|
% 43.90/13.96  																																										| Equations (865) can reduce 264 to:
% 43.90/13.96  																																										| (311) $false
% 43.90/13.96  																																										|
% 43.90/13.96  																																										|-The branch is then unsatisfiable
% 43.90/13.96  																																									|-Branch two:
% 43.90/13.96  																																									| (479)  ~ (all_0_88_88 = e1)
% 43.90/13.96  																																									| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 43.90/13.96  																																									|
% 43.90/13.96  																																										+-Applying beta-rule and splitting (1556), into two cases.
% 43.90/13.96  																																										|-Branch one:
% 43.90/13.96  																																										| (836) all_0_92_92 = e1
% 43.90/13.96  																																										|
% 43.90/13.96  																																											| Equations (836) can reduce 265 to:
% 43.90/13.96  																																											| (959)  ~ (all_0_91_91 = e1)
% 43.90/13.96  																																											|
% 43.90/13.96  																																											| Equations (836) can reduce 1619 to:
% 43.90/13.96  																																											| (681)  ~ (e4 = e1)
% 43.90/13.96  																																											|
% 43.90/13.96  																																											| Simplifying 681 yields:
% 43.90/13.96  																																											| (256)  ~ (e4 = e1)
% 43.90/13.96  																																											|
% 43.90/13.96  																																											+-Applying beta-rule and splitting (897), into two cases.
% 43.90/13.96  																																											|-Branch one:
% 43.90/13.96  																																											| (566) all_0_93_93 = e1
% 43.90/13.96  																																											|
% 43.90/13.96  																																												| Combining equations (607,566) yields a new equation:
% 43.90/13.96  																																												| (813) e4 = e1
% 43.90/13.96  																																												|
% 43.90/13.96  																																												| Simplifying 813 yields:
% 43.90/13.96  																																												| (814) e4 = e1
% 43.90/13.96  																																												|
% 43.90/13.96  																																												| Equations (814) can reduce 256 to:
% 43.90/13.96  																																												| (311) $false
% 43.90/13.96  																																												|
% 43.90/13.96  																																												|-The branch is then unsatisfiable
% 43.90/13.96  																																											|-Branch two:
% 43.90/13.96  																																											| (481)  ~ (all_0_93_93 = e1)
% 43.90/13.96  																																											| (1543) all_0_98_98 = e1
% 43.90/13.96  																																											|
% 43.90/13.96  																																												| Equations (1543) can reduce 43 to:
% 43.90/13.96  																																												| (1479)  ~ (all_0_96_96 = e1)
% 43.90/13.96  																																												|
% 43.90/13.96  																																												| Equations (1543) can reduce 148 to:
% 43.90/13.96  																																												| (486)  ~ (all_0_97_97 = e1)
% 43.90/13.96  																																												|
% 43.90/13.96  																																												| Equations (1543) can reduce 1519 to:
% 43.90/13.96  																																												| (683)  ~ (e3 = e1)
% 43.90/13.96  																																												|
% 43.90/13.96  																																												| Simplifying 683 yields:
% 43.90/13.96  																																												| (20)  ~ (e3 = e1)
% 43.90/13.96  																																												|
% 43.90/13.96  																																												+-Applying beta-rule and splitting (92), into two cases.
% 43.90/13.96  																																												|-Branch one:
% 43.90/13.96  																																												| (552) all_0_84_84 = e2
% 43.90/13.96  																																												|
% 43.90/13.96  																																													| Equations (552) can reduce 612 to:
% 43.90/13.96  																																													| (311) $false
% 43.90/13.96  																																													|
% 43.90/13.96  																																													|-The branch is then unsatisfiable
% 43.90/13.96  																																												|-Branch two:
% 43.90/13.96  																																												| (612)  ~ (all_0_84_84 = e2)
% 43.90/13.96  																																												| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 43.90/13.96  																																												|
% 43.90/13.96  																																													+-Applying beta-rule and splitting (617), into two cases.
% 43.90/13.96  																																													|-Branch one:
% 43.90/13.96  																																													| (1265) all_0_84_84 = e3
% 43.90/13.96  																																													|
% 43.90/13.96  																																														| Equations (1265) can reduce 422 to:
% 43.90/13.96  																																														| (311) $false
% 43.90/13.96  																																														|
% 43.90/13.96  																																														|-The branch is then unsatisfiable
% 43.90/13.96  																																													|-Branch two:
% 43.90/13.96  																																													| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.96  																																													| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 43.90/13.96  																																													|
% 43.90/13.96  																																														+-Applying beta-rule and splitting (282), into two cases.
% 43.90/13.96  																																														|-Branch one:
% 43.90/13.96  																																														| (754) all_0_90_90 = e3
% 43.90/13.96  																																														|
% 43.90/13.96  																																															| Combining equations (758,754) yields a new equation:
% 43.90/13.96  																																															| (600) e3 = e0
% 43.90/13.96  																																															|
% 43.90/13.96  																																															| Equations (600) can reduce 50 to:
% 43.90/13.96  																																															| (311) $false
% 43.90/13.96  																																															|
% 43.90/13.96  																																															|-The branch is then unsatisfiable
% 43.90/13.96  																																														|-Branch two:
% 43.90/13.96  																																														| (745)  ~ (all_0_90_90 = e3)
% 43.90/13.96  																																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 43.90/13.96  																																														|
% 43.90/13.96  																																															+-Applying beta-rule and splitting (849), into two cases.
% 43.90/13.96  																																															|-Branch one:
% 43.90/13.96  																																															| (588) all_0_91_91 = e3
% 43.90/13.96  																																															|
% 43.90/13.96  																																																| Equations (588) can reduce 133 to:
% 43.90/13.96  																																																| (783)  ~ (e4 = e3)
% 43.90/13.96  																																																|
% 43.90/13.96  																																																| Simplifying 783 yields:
% 43.90/13.96  																																																| (177)  ~ (e4 = e3)
% 43.90/13.96  																																																|
% 43.90/13.96  																																																| Equations (588) can reduce 959 to:
% 43.90/13.96  																																																| (20)  ~ (e3 = e1)
% 43.90/13.96  																																																|
% 43.90/13.96  																																																| Equations (588) can reduce 1487 to:
% 43.90/13.96  																																																| (50)  ~ (e3 = e0)
% 43.90/13.96  																																																|
% 43.90/13.96  																																																+-Applying beta-rule and splitting (84), into two cases.
% 43.90/13.96  																																																|-Branch one:
% 43.90/13.96  																																																| (1704) all_0_96_96 = e2
% 43.90/13.96  																																																|
% 43.90/13.96  																																																	| Equations (1704) can reduce 1638 to:
% 43.90/13.96  																																																	| (311) $false
% 43.90/13.96  																																																	|
% 43.90/13.96  																																																	|-The branch is then unsatisfiable
% 43.90/13.96  																																																|-Branch two:
% 43.90/13.96  																																																| (1638)  ~ (all_0_96_96 = e2)
% 43.90/13.96  																																																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 43.90/13.96  																																																|
% 43.90/13.96  																																																	+-Applying beta-rule and splitting (207), into two cases.
% 43.90/13.96  																																																	|-Branch one:
% 43.90/13.96  																																																	| (416) all_0_80_80 = e3
% 43.90/13.96  																																																	|
% 43.90/13.96  																																																		| Combining equations (416,433) yields a new equation:
% 43.90/13.96  																																																		| (434) e4 = e3
% 43.90/13.96  																																																		|
% 43.90/13.96  																																																		| Equations (434) can reduce 177 to:
% 43.90/13.96  																																																		| (311) $false
% 43.90/13.96  																																																		|
% 43.90/13.96  																																																		|-The branch is then unsatisfiable
% 43.90/13.96  																																																	|-Branch two:
% 43.90/13.96  																																																	| (2347)  ~ (all_0_80_80 = e3)
% 43.90/13.96  																																																	| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 43.90/13.96  																																																	|
% 43.90/13.96  																																																		+-Applying beta-rule and splitting (1400), into two cases.
% 43.90/13.96  																																																		|-Branch one:
% 43.90/13.96  																																																		| (1456) all_0_91_91 = e0
% 43.90/13.96  																																																		|
% 43.90/13.96  																																																			| Combining equations (588,1456) yields a new equation:
% 43.90/13.96  																																																			| (599) e3 = e0
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Simplifying 599 yields:
% 43.90/13.96  																																																			| (600) e3 = e0
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Equations (600) can reduce 50 to:
% 43.90/13.96  																																																			| (311) $false
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			|-The branch is then unsatisfiable
% 43.90/13.96  																																																		|-Branch two:
% 43.90/13.96  																																																		| (1487)  ~ (all_0_91_91 = e0)
% 43.90/13.96  																																																		| (1837) all_0_96_96 = e0
% 43.90/13.96  																																																		|
% 43.90/13.96  																																																			| Equations (1837) can reduce 22 to:
% 43.90/13.96  																																																			| (938)  ~ (all_0_97_97 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Simplifying 938 yields:
% 43.90/13.96  																																																			| (609)  ~ (all_0_97_97 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Equations (1837) can reduce 1638 to:
% 43.90/13.96  																																																			| (510)  ~ (e2 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Simplifying 510 yields:
% 43.90/13.96  																																																			| (76)  ~ (e2 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Equations (1837) can reduce 1479 to:
% 43.90/13.96  																																																			| (859)  ~ (e1 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			| Simplifying 859 yields:
% 43.90/13.96  																																																			| (264)  ~ (e1 = e0)
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																			+-Applying beta-rule and splitting (2), into two cases.
% 43.90/13.96  																																																			|-Branch one:
% 43.90/13.96  																																																			| (916) all_0_84_84 = e0
% 43.90/13.96  																																																			|
% 43.90/13.96  																																																				| Equations (916) can reduce 422 to:
% 43.90/13.96  																																																				| (906)  ~ (e3 = e0)
% 43.90/13.96  																																																				|
% 43.90/13.96  																																																				| Simplifying 906 yields:
% 43.90/13.96  																																																				| (50)  ~ (e3 = e0)
% 43.90/13.96  																																																				|
% 43.90/13.96  																																																				| From (916) and (150) follows:
% 43.90/13.96  																																																				| (11508) op(e3, e0) = all_0_63_63
% 43.90/13.96  																																																				|
% 43.90/13.96  																																																				+-Applying beta-rule and splitting (2481), into two cases.
% 43.90/13.96  																																																				|-Branch one:
% 43.90/13.96  																																																				| (1265) all_0_84_84 = e3
% 43.90/13.96  																																																				|
% 43.90/13.96  																																																					| Combining equations (916,1265) yields a new equation:
% 43.90/13.96  																																																					| (600) e3 = e0
% 43.90/13.96  																																																					|
% 43.90/13.96  																																																					| Equations (600) can reduce 50 to:
% 43.90/13.96  																																																					| (311) $false
% 43.90/13.96  																																																					|
% 43.90/13.96  																																																					|-The branch is then unsatisfiable
% 43.90/13.96  																																																				|-Branch two:
% 43.90/13.96  																																																				| (422)  ~ (all_0_84_84 = e3)
% 43.90/13.96  																																																				| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 43.90/13.96  																																																				|
% 43.90/13.96  																																																					+-Applying beta-rule and splitting (3765), into two cases.
% 43.90/13.96  																																																					|-Branch one:
% 44.01/13.96  																																																					| (882) all_0_92_92 = e3
% 44.01/13.96  																																																					|
% 44.01/13.96  																																																						| Combining equations (836,882) yields a new equation:
% 44.01/13.96  																																																						| (772) e3 = e1
% 44.01/13.96  																																																						|
% 44.01/13.96  																																																						| Equations (772) can reduce 20 to:
% 44.01/13.96  																																																						| (311) $false
% 44.01/13.96  																																																						|
% 44.01/13.96  																																																						|-The branch is then unsatisfiable
% 44.01/13.96  																																																					|-Branch two:
% 44.01/13.96  																																																					| (426)  ~ (all_0_92_92 = e3)
% 44.01/13.96  																																																					| (556) all_0_97_97 = e3
% 44.01/13.96  																																																					|
% 44.01/13.96  																																																						| Equations (556) can reduce 486 to:
% 44.01/13.96  																																																						| (20)  ~ (e3 = e1)
% 44.01/13.96  																																																						|
% 44.01/13.96  																																																						| Instantiating formula (262) with e3, e0, e3, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e3, yields:
% 44.01/13.96  																																																						| (16365) all_0_63_63 = e3
% 44.01/13.96  																																																						|
% 44.01/13.96  																																																						| Instantiating formula (262) with e3, e0, e1, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e1, yields:
% 44.01/13.96  																																																						| (10509) all_0_63_63 = e1
% 44.01/13.96  																																																						|
% 44.01/13.97  																																																						| Combining equations (10509,16365) yields a new equation:
% 44.01/13.97  																																																						| (772) e3 = e1
% 44.01/13.97  																																																						|
% 44.01/13.97  																																																						| Equations (772) can reduce 20 to:
% 44.01/13.97  																																																						| (311) $false
% 44.01/13.97  																																																						|
% 44.01/13.97  																																																						|-The branch is then unsatisfiable
% 44.01/13.97  																																																			|-Branch two:
% 44.01/13.97  																																																			| (919)  ~ (all_0_84_84 = e0)
% 44.01/13.97  																																																			| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 44.01/13.97  																																																			|
% 44.01/13.97  																																																				+-Applying beta-rule and splitting (1309), into two cases.
% 44.01/13.97  																																																				|-Branch one:
% 44.01/13.97  																																																				| (798) all_0_83_83 = e0
% 44.01/13.97  																																																				|
% 44.01/13.97  																																																					| Combining equations (453,798) yields a new equation:
% 44.01/13.97  																																																					| (923) e2 = e0
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																					| Simplifying 923 yields:
% 44.01/13.97  																																																					| (379) e2 = e0
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																					| Equations (379) can reduce 76 to:
% 44.01/13.97  																																																					| (311) $false
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																					|-The branch is then unsatisfiable
% 44.01/13.97  																																																				|-Branch two:
% 44.01/13.97  																																																				| (1314)  ~ (all_0_83_83 = e0)
% 44.01/13.97  																																																				| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.01/13.97  																																																				|
% 44.01/13.97  																																																					| Equations (453) can reduce 1314 to:
% 44.01/13.97  																																																					| (76)  ~ (e2 = e0)
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																					+-Applying beta-rule and splitting (2481), into two cases.
% 44.01/13.97  																																																					|-Branch one:
% 44.01/13.97  																																																					| (1265) all_0_84_84 = e3
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																						| Equations (1265) can reduce 422 to:
% 44.01/13.97  																																																						| (311) $false
% 44.01/13.97  																																																						|
% 44.01/13.97  																																																						|-The branch is then unsatisfiable
% 44.01/13.97  																																																					|-Branch two:
% 44.01/13.97  																																																					| (422)  ~ (all_0_84_84 = e3)
% 44.01/13.97  																																																					| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 44.01/13.97  																																																					|
% 44.01/13.97  																																																						+-Applying beta-rule and splitting (920), into two cases.
% 44.01/13.97  																																																						|-Branch one:
% 44.01/13.97  																																																						| (861) all_0_87_87 = e0
% 44.01/13.97  																																																						|
% 44.01/13.97  																																																							| Combining equations (374,861) yields a new equation:
% 44.01/13.97  																																																							| (923) e2 = e0
% 44.01/13.97  																																																							|
% 44.01/13.97  																																																							| Simplifying 923 yields:
% 44.01/13.97  																																																							| (379) e2 = e0
% 44.01/13.97  																																																							|
% 44.01/13.97  																																																							| Equations (379) can reduce 76 to:
% 44.01/13.97  																																																							| (311) $false
% 44.01/13.97  																																																							|
% 44.01/13.97  																																																							|-The branch is then unsatisfiable
% 44.01/13.97  																																																						|-Branch two:
% 44.01/13.97  																																																						| (889)  ~ (all_0_87_87 = e0)
% 44.01/13.97  																																																						| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 44.01/13.97  																																																						|
% 44.01/13.97  																																																							+-Applying beta-rule and splitting (3765), into two cases.
% 44.01/13.97  																																																							|-Branch one:
% 44.01/13.97  																																																							| (882) all_0_92_92 = e3
% 44.01/13.97  																																																							|
% 44.01/13.97  																																																								| Combining equations (836,882) yields a new equation:
% 44.01/13.97  																																																								| (772) e3 = e1
% 44.01/13.97  																																																								|
% 44.01/13.97  																																																								| Equations (772) can reduce 20 to:
% 44.01/13.97  																																																								| (311) $false
% 44.01/13.97  																																																								|
% 44.01/13.97  																																																								|-The branch is then unsatisfiable
% 44.01/13.97  																																																							|-Branch two:
% 44.01/13.97  																																																							| (426)  ~ (all_0_92_92 = e3)
% 44.01/13.97  																																																							| (556) all_0_97_97 = e3
% 44.01/13.97  																																																							|
% 44.01/13.97  																																																								| Equations (556) can reduce 609 to:
% 44.01/13.97  																																																								| (50)  ~ (e3 = e0)
% 44.01/13.97  																																																								|
% 44.01/13.97  																																																								+-Applying beta-rule and splitting (931), into two cases.
% 44.01/13.97  																																																								|-Branch one:
% 44.01/13.97  																																																								| (942) all_0_92_92 = e0
% 44.01/13.97  																																																								|
% 44.01/13.97  																																																									| Combining equations (942,836) yields a new equation:
% 44.01/13.97  																																																									| (865) e1 = e0
% 44.01/13.97  																																																									|
% 44.01/13.97  																																																									| Equations (865) can reduce 264 to:
% 44.01/13.97  																																																									| (311) $false
% 44.01/13.97  																																																									|
% 44.01/13.97  																																																									|-The branch is then unsatisfiable
% 44.01/13.97  																																																								|-Branch two:
% 44.01/13.97  																																																								| (946)  ~ (all_0_92_92 = e0)
% 44.01/13.97  																																																								| (560) all_0_97_97 = e0
% 44.01/13.97  																																																								|
% 44.01/13.97  																																																									| Combining equations (560,556) yields a new equation:
% 44.01/13.97  																																																									| (600) e3 = e0
% 44.01/13.97  																																																									|
% 44.01/13.97  																																																									| Equations (600) can reduce 50 to:
% 44.01/13.97  																																																									| (311) $false
% 44.01/13.97  																																																									|
% 44.01/13.97  																																																									|-The branch is then unsatisfiable
% 44.01/13.97  																																															|-Branch two:
% 44.01/13.97  																																															| (571)  ~ (all_0_91_91 = e3)
% 44.01/13.97  																																															| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.01/13.97  																																															|
% 44.01/13.97  																																																+-Applying beta-rule and splitting (881), into two cases.
% 44.01/13.97  																																																|-Branch one:
% 44.01/13.97  																																																| (882) all_0_92_92 = e3
% 44.01/13.97  																																																|
% 44.01/13.97  																																																	| Combining equations (836,882) yields a new equation:
% 44.01/13.97  																																																	| (772) e3 = e1
% 44.01/13.97  																																																	|
% 44.01/13.97  																																																	| Equations (772) can reduce 20 to:
% 44.01/13.97  																																																	| (311) $false
% 44.01/13.97  																																																	|
% 44.01/13.97  																																																	|-The branch is then unsatisfiable
% 44.01/13.97  																																																|-Branch two:
% 44.01/13.97  																																																| (426)  ~ (all_0_92_92 = e3)
% 44.01/13.97  																																																| (570) all_0_93_93 = e3
% 44.01/13.97  																																																|
% 44.01/13.97  																																																	| Combining equations (570,607) yields a new equation:
% 44.01/13.97  																																																	| (434) e4 = e3
% 44.01/13.97  																																																	|
% 44.01/13.97  																																																	| Equations (434) can reduce 177 to:
% 44.01/13.97  																																																	| (311) $false
% 44.01/13.97  																																																	|
% 44.01/13.97  																																																	|-The branch is then unsatisfiable
% 44.01/13.97  																																										|-Branch two:
% 44.01/13.97  																																										| (840)  ~ (all_0_92_92 = e1)
% 44.01/13.97  																																										| (566) all_0_93_93 = e1
% 44.01/13.97  																																										|
% 44.01/13.97  																																											| Combining equations (566,607) yields a new equation:
% 44.01/13.97  																																											| (814) e4 = e1
% 44.01/13.97  																																											|
% 44.01/13.97  																																											| Equations (814) can reduce 256 to:
% 44.01/13.97  																																											| (311) $false
% 44.01/13.97  																																											|
% 44.01/13.97  																																											|-The branch is then unsatisfiable
% 44.01/13.97  																																							|-Branch two:
% 44.01/13.97  																																							| (952)  ~ (all_0_85_85 = e3)
% 44.01/13.97  																																							| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 44.01/13.97  																																							|
% 44.01/13.97  																																								+-Applying beta-rule and splitting (1309), into two cases.
% 44.01/13.97  																																								|-Branch one:
% 44.01/13.97  																																								| (798) all_0_83_83 = e0
% 44.01/13.97  																																								|
% 44.01/13.97  																																									| Combining equations (453,798) yields a new equation:
% 44.01/13.97  																																									| (923) e2 = e0
% 44.01/13.97  																																									|
% 44.01/13.97  																																									| Simplifying 923 yields:
% 44.01/13.97  																																									| (379) e2 = e0
% 44.01/13.97  																																									|
% 44.01/13.97  																																									| Equations (379) can reduce 76 to:
% 44.01/13.97  																																									| (311) $false
% 44.01/13.97  																																									|
% 44.01/13.97  																																									|-The branch is then unsatisfiable
% 44.01/13.97  																																								|-Branch two:
% 44.01/13.97  																																								| (1314)  ~ (all_0_83_83 = e0)
% 44.01/13.97  																																								| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.01/13.97  																																								|
% 44.01/13.97  																																									+-Applying beta-rule and splitting (1315), into two cases.
% 44.01/13.97  																																									|-Branch one:
% 44.01/13.97  																																									| (916) all_0_84_84 = e0
% 44.01/13.97  																																									|
% 44.01/13.97  																																										| Equations (916) can reduce 154 to:
% 44.01/13.97  																																										| (799)  ~ (all_0_85_85 = e0)
% 44.01/13.97  																																										|
% 44.01/13.97  																																										| Simplifying 799 yields:
% 44.01/13.97  																																										| (800)  ~ (all_0_85_85 = e0)
% 44.01/13.97  																																										|
% 44.01/13.97  																																										+-Applying beta-rule and splitting (953), into two cases.
% 44.01/13.97  																																										|-Branch one:
% 44.01/13.97  																																										| (954) all_0_85_85 = e0
% 44.01/13.97  																																										|
% 44.01/13.97  																																											| Equations (954) can reduce 800 to:
% 44.01/13.97  																																											| (311) $false
% 44.01/13.97  																																											|
% 44.01/13.97  																																											|-The branch is then unsatisfiable
% 44.01/13.97  																																										|-Branch two:
% 44.01/13.97  																																										| (800)  ~ (all_0_85_85 = e0)
% 44.01/13.97  																																										| (493) all_0_85_85 = e4
% 44.01/13.97  																																										|
% 44.01/13.97  																																											| Equations (493) can reduce 648 to:
% 44.01/13.97  																																											| (311) $false
% 44.01/13.97  																																											|
% 44.01/13.97  																																											|-The branch is then unsatisfiable
% 44.01/13.97  																																									|-Branch two:
% 44.01/13.97  																																									| (919)  ~ (all_0_84_84 = e0)
% 44.01/13.97  																																									| (954) all_0_85_85 = e0
% 44.01/13.97  																																									|
% 44.01/13.97  																																										| Equations (954) can reduce 800 to:
% 44.01/13.97  																																										| (311) $false
% 44.01/13.97  																																										|
% 44.01/13.97  																																										|-The branch is then unsatisfiable
% 44.01/13.97  																																						|-Branch two:
% 44.01/13.97  																																						| (762)  ~ (all_0_90_90 = e0)
% 44.01/13.97  																																						| (858) all_0_95_95 = e0
% 44.01/13.97  																																						|
% 44.01/13.97  																																							| Combining equations (767,858) yields a new equation:
% 44.01/13.97  																																							| (923) e2 = e0
% 44.01/13.97  																																							|
% 44.01/13.97  																																							| Simplifying 923 yields:
% 44.01/13.97  																																							| (379) e2 = e0
% 44.01/13.97  																																							|
% 44.01/13.97  																																							| Equations (379) can reduce 76 to:
% 44.01/13.97  																																							| (311) $false
% 44.01/13.97  																																							|
% 44.01/13.97  																																							|-The branch is then unsatisfiable
% 44.01/13.97  																											|-Branch two:
% 44.01/13.97  																											| (465)  ~ (all_0_82_82 = e4)
% 44.01/13.97  																											| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.01/13.97  																											|
% 44.01/13.97  																												+-Applying beta-rule and splitting (10), into two cases.
% 44.01/13.97  																												|-Branch one:
% 44.01/13.97  																												| (530) all_0_82_82 = e2
% 44.01/13.97  																												|
% 44.01/13.97  																													| Equations (530) can reduce 347 to:
% 44.01/13.97  																													| (311) $false
% 44.01/13.97  																													|
% 44.01/13.97  																													|-The branch is then unsatisfiable
% 44.01/13.97  																												|-Branch two:
% 44.01/13.97  																												| (347)  ~ (all_0_82_82 = e2)
% 44.01/13.97  																												| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.01/13.97  																												|
% 44.01/13.97  																													+-Applying beta-rule and splitting (472), into two cases.
% 44.01/13.97  																													|-Branch one:
% 44.01/13.97  																													| (438) all_0_84_84 = e4
% 44.01/13.97  																													|
% 44.01/13.97  																														| Equations (438) can reduce 417 to:
% 44.01/13.97  																														| (311) $false
% 44.01/13.97  																														|
% 44.01/13.97  																														|-The branch is then unsatisfiable
% 44.01/13.97  																													|-Branch two:
% 44.01/13.97  																													| (417)  ~ (all_0_84_84 = e4)
% 44.01/13.97  																													| (493) all_0_85_85 = e4
% 44.01/13.97  																													|
% 44.01/13.97  																														| Equations (493) can reduce 209 to:
% 44.01/13.97  																														| (465)  ~ (all_0_82_82 = e4)
% 44.01/13.97  																														|
% 44.01/13.97  																														| Equations (493) can reduce 154 to:
% 44.01/13.97  																														| (417)  ~ (all_0_84_84 = e4)
% 44.01/13.97  																														|
% 44.01/13.97  																														| From (493) and (26) follows:
% 44.01/13.97  																														| (2742) op(e0, e4) = all_0_71_71
% 44.01/13.97  																														|
% 44.01/13.97  																														+-Applying beta-rule and splitting (2205), into two cases.
% 44.01/13.97  																														|-Branch one:
% 44.01/13.97  																														| (789) all_0_82_82 = e3
% 44.01/13.97  																														|
% 44.01/13.97  																															| Equations (789) can reduce 793 to:
% 44.01/13.97  																															| (311) $false
% 44.01/13.97  																															|
% 44.01/13.97  																															|-The branch is then unsatisfiable
% 44.01/13.97  																														|-Branch two:
% 44.01/13.97  																														| (793)  ~ (all_0_82_82 = e3)
% 44.01/13.97  																														| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.01/13.97  																														|
% 44.01/13.97  																															+-Applying beta-rule and splitting (2706), into two cases.
% 44.01/13.97  																															|-Branch one:
% 44.01/13.97  																															| (910) all_0_82_82 = e0
% 44.01/13.97  																															|
% 44.01/13.97  																																| Equations (910) can reduce 7 to:
% 44.01/13.97  																																| (2207)  ~ (all_0_84_84 = e0)
% 44.01/13.97  																																|
% 44.01/13.97  																																| Simplifying 2207 yields:
% 44.01/13.97  																																| (919)  ~ (all_0_84_84 = e0)
% 44.01/13.97  																																|
% 44.01/13.97  																																| Equations (910) can reduce 255 to:
% 44.01/13.97  																																| (2710)  ~ (all_0_90_90 = e0)
% 44.01/13.97  																																|
% 44.01/13.97  																																| Simplifying 2710 yields:
% 44.01/13.97  																																| (762)  ~ (all_0_90_90 = e0)
% 44.01/13.97  																																|
% 44.01/13.97  																																+-Applying beta-rule and splitting (27), into two cases.
% 44.01/13.97  																																|-Branch one:
% 44.01/13.97  																																| (746) all_0_90_90 = e2
% 44.01/13.97  																																|
% 44.01/13.97  																																	| Equations (746) can reduce 294 to:
% 44.01/13.97  																																	| (311) $false
% 44.01/13.97  																																	|
% 44.01/13.97  																																	|-The branch is then unsatisfiable
% 44.01/13.97  																																|-Branch two:
% 44.01/13.97  																																| (294)  ~ (all_0_90_90 = e2)
% 44.01/13.97  																																| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 44.01/13.97  																																|
% 44.01/13.97  																																	+-Applying beta-rule and splitting (749), into two cases.
% 44.01/13.97  																																	|-Branch one:
% 44.01/13.97  																																	| (750) all_0_90_90 = e1
% 44.01/13.97  																																	|
% 44.01/13.97  																																		| Equations (750) can reduce 678 to:
% 44.01/13.97  																																		| (311) $false
% 44.01/13.97  																																		|
% 44.01/13.97  																																		|-The branch is then unsatisfiable
% 44.01/13.97  																																	|-Branch two:
% 44.01/13.97  																																	| (678)  ~ (all_0_90_90 = e1)
% 44.01/13.97  																																	| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 44.01/13.97  																																	|
% 44.01/13.97  																																		+-Applying beta-rule and splitting (753), into two cases.
% 44.01/13.97  																																		|-Branch one:
% 44.01/13.97  																																		| (754) all_0_90_90 = e3
% 44.01/13.97  																																		|
% 44.01/13.97  																																			| Equations (754) can reduce 745 to:
% 44.01/13.97  																																			| (311) $false
% 44.01/13.97  																																			|
% 44.01/13.97  																																			|-The branch is then unsatisfiable
% 44.01/13.97  																																		|-Branch two:
% 44.01/13.97  																																		| (745)  ~ (all_0_90_90 = e3)
% 44.01/13.97  																																		| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 44.01/13.97  																																		|
% 44.01/13.97  																																			+-Applying beta-rule and splitting (757), into two cases.
% 44.01/13.97  																																			|-Branch one:
% 44.01/13.97  																																			| (758) all_0_90_90 = e0
% 44.01/13.97  																																			|
% 44.01/13.97  																																				| Equations (758) can reduce 762 to:
% 44.01/13.97  																																				| (311) $false
% 44.01/13.97  																																				|
% 44.01/13.97  																																				|-The branch is then unsatisfiable
% 44.01/13.97  																																			|-Branch two:
% 44.01/13.97  																																			| (762)  ~ (all_0_90_90 = e0)
% 44.01/13.97  																																			| (583) all_0_90_90 = e4
% 44.01/13.97  																																			|
% 44.01/13.97  																																				| Equations (583) can reduce 103 to:
% 44.01/13.97  																																				| (3634)  ~ (all_0_91_91 = e4)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Simplifying 3634 yields:
% 44.01/13.97  																																				| (133)  ~ (all_0_91_91 = e4)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Equations (583) can reduce 72 to:
% 44.01/13.97  																																				| (1906)  ~ (all_0_92_92 = e4)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Simplifying 1906 yields:
% 44.01/13.97  																																				| (1619)  ~ (all_0_92_92 = e4)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Equations (583) can reduce 294 to:
% 44.01/13.97  																																				| (79)  ~ (e4 = e2)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Equations (583) can reduce 678 to:
% 44.01/13.97  																																				| (256)  ~ (e4 = e1)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| Equations (583) can reduce 762 to:
% 44.01/13.97  																																				| (23)  ~ (e4 = e0)
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| From (583) and (35) follows:
% 44.01/13.97  																																				| (10485) op(e1, e4) = all_0_49_49
% 44.01/13.97  																																				|
% 44.01/13.97  																																				| From (583) and (218) follows:
% 44.01/13.97  																																				| (4391) op(e1, e3) = e4
% 44.01/13.97  																																				|
% 44.01/13.97  																																				+-Applying beta-rule and splitting (92), into two cases.
% 44.01/13.97  																																				|-Branch one:
% 44.01/13.97  																																				| (552) all_0_84_84 = e2
% 44.01/13.97  																																				|
% 44.01/13.97  																																					| Equations (552) can reduce 612 to:
% 44.01/13.97  																																					| (311) $false
% 44.01/13.97  																																					|
% 44.01/13.97  																																					|-The branch is then unsatisfiable
% 44.01/13.97  																																				|-Branch two:
% 44.01/13.97  																																				| (612)  ~ (all_0_84_84 = e2)
% 44.01/13.97  																																				| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.01/13.97  																																				|
% 44.01/13.97  																																					+-Applying beta-rule and splitting (617), into two cases.
% 44.01/13.97  																																					|-Branch one:
% 44.01/13.97  																																					| (1265) all_0_84_84 = e3
% 44.01/13.97  																																					|
% 44.01/13.97  																																						| Equations (1265) can reduce 87 to:
% 44.01/13.97  																																						| (425)  ~ (all_0_92_92 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Simplifying 425 yields:
% 44.01/13.97  																																						| (426)  ~ (all_0_92_92 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Equations (1265) can reduce 195 to:
% 44.01/13.97  																																						| (427)  ~ (all_0_97_97 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Simplifying 427 yields:
% 44.01/13.97  																																						| (428)  ~ (all_0_97_97 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Equations (1265) can reduce 417 to:
% 44.01/13.97  																																						| (783)  ~ (e4 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Simplifying 783 yields:
% 44.01/13.97  																																						| (177)  ~ (e4 = e3)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Equations (1265) can reduce 259 to:
% 44.01/13.97  																																						| (20)  ~ (e3 = e1)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Equations (1265) can reduce 919 to:
% 44.01/13.97  																																						| (50)  ~ (e3 = e0)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| From (1265) and (122) follows:
% 44.01/13.97  																																						| (3507) op(e1, e3) = all_0_62_62
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 44.01/13.97  																																						| (10505) all_0_49_49 = e2
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Instantiating formula (262) with e1, e3, e4, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e4, yields:
% 44.01/13.97  																																						| (4461) all_0_62_62 = e4
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 44.01/13.97  																																						| (2758) all_0_71_71 = e4
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Equations (10505) can reduce 742 to:
% 44.01/13.97  																																						| (356)  ~ (e3 = e2)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						| Simplifying 356 yields:
% 44.01/13.97  																																						| (169)  ~ (e3 = e2)
% 44.01/13.97  																																						|
% 44.01/13.97  																																						+-Applying beta-rule and splitting (89), into two cases.
% 44.01/13.97  																																						|-Branch one:
% 44.01/13.97  																																						| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.01/13.97  																																						|
% 44.01/13.97  																																							+-Applying beta-rule and splitting (1373), into two cases.
% 44.01/13.97  																																							|-Branch one:
% 44.01/13.97  																																							| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.01/13.97  																																							|
% 44.01/13.97  																																								+-Applying beta-rule and splitting (1374), into two cases.
% 44.01/13.97  																																								|-Branch one:
% 44.01/13.97  																																								| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.01/13.97  																																								|
% 44.01/13.97  																																									| Applying alpha-rule on (1375) yields:
% 44.01/13.97  																																									| (1376) all_0_69_69 = e4
% 44.01/13.98  																																									| (1377)  ~ (all_0_70_70 = e0)
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Combining equations (1376,1794) yields a new equation:
% 44.01/13.98  																																									| (16509) all_0_96_96 = e4
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Equations (16509) can reduce 115 to:
% 44.01/13.98  																																									| (311) $false
% 44.01/13.98  																																									|
% 44.01/13.98  																																									|-The branch is then unsatisfiable
% 44.01/13.98  																																								|-Branch two:
% 44.01/13.98  																																								| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.01/13.98  																																								|
% 44.01/13.98  																																									| Applying alpha-rule on (1379) yields:
% 44.01/13.98  																																									| (1380) all_0_71_71 = e3
% 44.01/13.98  																																									| (1381)  ~ (all_0_72_72 = e0)
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Combining equations (1380,2758) yields a new equation:
% 44.01/13.98  																																									| (434) e4 = e3
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Equations (434) can reduce 177 to:
% 44.01/13.98  																																									| (311) $false
% 44.01/13.98  																																									|
% 44.01/13.98  																																									|-The branch is then unsatisfiable
% 44.01/13.98  																																							|-Branch two:
% 44.01/13.98  																																							| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.01/13.98  																																							|
% 44.01/13.98  																																								| Applying alpha-rule on (1385) yields:
% 44.01/13.98  																																								| (1386) all_0_73_73 = e2
% 44.01/13.98  																																								| (1387)  ~ (all_0_74_74 = e0)
% 44.01/13.98  																																								|
% 44.01/13.98  																																								| Combining equations (1386,1370) yields a new equation:
% 44.01/13.98  																																								| (525) all_0_98_98 = e2
% 44.01/13.98  																																								|
% 44.01/13.98  																																								| Equations (525) can reduce 1349 to:
% 44.01/13.98  																																								| (311) $false
% 44.01/13.98  																																								|
% 44.01/13.98  																																								|-The branch is then unsatisfiable
% 44.01/13.98  																																						|-Branch two:
% 44.01/13.98  																																						| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.01/13.98  																																						|
% 44.01/13.98  																																							| Applying alpha-rule on (1391) yields:
% 44.01/13.98  																																							| (1392) all_0_75_75 = e1
% 44.01/13.98  																																							| (1393)  ~ (all_0_76_76 = e0)
% 44.01/13.98  																																							|
% 44.01/13.98  																																							+-Applying beta-rule and splitting (276), into two cases.
% 44.01/13.98  																																							|-Branch one:
% 44.01/13.98  																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.01/13.98  																																							|
% 44.01/13.98  																																								+-Applying beta-rule and splitting (577), into two cases.
% 44.01/13.98  																																								|-Branch one:
% 44.01/13.98  																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.01/13.98  																																								|
% 44.01/13.98  																																									+-Applying beta-rule and splitting (578), into two cases.
% 44.01/13.98  																																									|-Branch one:
% 44.01/13.98  																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.01/13.98  																																									|
% 44.01/13.98  																																										| Applying alpha-rule on (579) yields:
% 44.01/13.98  																																										| (580) all_0_60_60 = e4
% 44.01/13.98  																																										| (581)  ~ (all_0_61_61 = e1)
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Combining equations (580,4076) yields a new equation:
% 44.01/13.98  																																										| (309) e4 = e2
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Simplifying 309 yields:
% 44.01/13.98  																																										| (310) e4 = e2
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Equations (310) can reduce 79 to:
% 44.01/13.98  																																										| (311) $false
% 44.01/13.98  																																										|
% 44.01/13.98  																																										|-The branch is then unsatisfiable
% 44.01/13.98  																																									|-Branch two:
% 44.01/13.98  																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.01/13.98  																																									|
% 44.01/13.98  																																										| Applying alpha-rule on (585) yields:
% 44.01/13.98  																																										| (586) all_0_62_62 = e3
% 44.01/13.98  																																										| (587)  ~ (all_0_63_63 = e1)
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Combining equations (586,4461) yields a new equation:
% 44.01/13.98  																																										| (434) e4 = e3
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Equations (434) can reduce 177 to:
% 44.01/13.98  																																										| (311) $false
% 44.01/13.98  																																										|
% 44.01/13.98  																																										|-The branch is then unsatisfiable
% 44.01/13.98  																																								|-Branch two:
% 44.01/13.98  																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.01/13.98  																																								|
% 44.01/13.98  																																									| Applying alpha-rule on (590) yields:
% 44.01/13.98  																																									| (591) all_0_64_64 = e2
% 44.01/13.98  																																									| (592)  ~ (all_0_65_65 = e1)
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Combining equations (591,9535) yields a new equation:
% 44.01/13.98  																																									| (1723) all_0_91_91 = e2
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Equations (1723) can reduce 296 to:
% 44.01/13.98  																																									| (311) $false
% 44.01/13.98  																																									|
% 44.01/13.98  																																									|-The branch is then unsatisfiable
% 44.01/13.98  																																							|-Branch two:
% 44.01/13.98  																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.01/13.98  																																							|
% 44.01/13.98  																																								| Applying alpha-rule on (596) yields:
% 44.01/13.98  																																								| (597) all_0_67_67 = e0
% 44.01/13.98  																																								| (598)  ~ (all_0_68_68 = e1)
% 44.01/13.98  																																								|
% 44.01/13.98  																																								| From (597) and (252) follows:
% 44.01/13.98  																																								| (8666) op(e1, all_0_97_97) = e0
% 44.01/13.98  																																								|
% 44.01/13.98  																																								+-Applying beta-rule and splitting (151), into two cases.
% 44.01/13.98  																																								|-Branch one:
% 44.01/13.98  																																								| (824) all_0_80_80 = e1
% 44.01/13.98  																																								|
% 44.01/13.98  																																									| Combining equations (824,433) yields a new equation:
% 44.01/13.98  																																									| (814) e4 = e1
% 44.01/13.98  																																									|
% 44.01/13.98  																																									| Equations (814) can reduce 256 to:
% 44.01/13.98  																																									| (311) $false
% 44.01/13.98  																																									|
% 44.01/13.98  																																									|-The branch is then unsatisfiable
% 44.01/13.98  																																								|-Branch two:
% 44.01/13.98  																																								| (828)  ~ (all_0_80_80 = e1)
% 44.01/13.98  																																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.01/13.98  																																								|
% 44.01/13.98  																																									| Equations (433) can reduce 828 to:
% 44.01/13.98  																																									| (256)  ~ (e4 = e1)
% 44.01/13.98  																																									|
% 44.01/13.98  																																									+-Applying beta-rule and splitting (132), into two cases.
% 44.01/13.98  																																									|-Branch one:
% 44.01/13.98  																																									| (750) all_0_90_90 = e1
% 44.01/13.98  																																									|
% 44.01/13.98  																																										| Combining equations (583,750) yields a new equation:
% 44.01/13.98  																																										| (813) e4 = e1
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Simplifying 813 yields:
% 44.01/13.98  																																										| (814) e4 = e1
% 44.01/13.98  																																										|
% 44.01/13.98  																																										| Equations (814) can reduce 256 to:
% 44.01/13.98  																																										| (311) $false
% 44.01/13.98  																																										|
% 44.01/13.98  																																										|-The branch is then unsatisfiable
% 44.01/13.98  																																									|-Branch two:
% 44.01/13.98  																																									| (678)  ~ (all_0_90_90 = e1)
% 44.01/13.98  																																									| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.01/13.98  																																									|
% 44.01/13.98  																																										+-Applying beta-rule and splitting (285), into two cases.
% 44.01/13.98  																																										|-Branch one:
% 44.01/13.98  																																										| (1708) all_0_79_79 = e3
% 44.01/13.98  																																										|
% 44.01/13.98  																																											| Combining equations (1708,457) yields a new equation:
% 44.01/13.98  																																											| (825) e3 = e1
% 44.01/13.98  																																											|
% 44.01/13.98  																																											| Simplifying 825 yields:
% 44.01/13.98  																																											| (772) e3 = e1
% 44.01/13.98  																																											|
% 44.01/13.98  																																											| Equations (772) can reduce 20 to:
% 44.01/13.98  																																											| (311) $false
% 44.01/13.98  																																											|
% 44.01/13.98  																																											|-The branch is then unsatisfiable
% 44.01/13.98  																																										|-Branch two:
% 44.01/13.98  																																										| (1711)  ~ (all_0_79_79 = e3)
% 44.01/13.98  																																										| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.01/13.98  																																										|
% 44.01/13.98  																																											+-Applying beta-rule and splitting (284), into two cases.
% 44.01/13.98  																																											|-Branch one:
% 44.01/13.98  																																											| (1723) all_0_91_91 = e2
% 44.01/13.98  																																											|
% 44.01/13.98  																																												| Equations (1723) can reduce 296 to:
% 44.01/13.98  																																												| (311) $false
% 44.01/13.98  																																												|
% 44.01/13.98  																																												|-The branch is then unsatisfiable
% 44.01/13.98  																																											|-Branch two:
% 44.01/13.98  																																											| (296)  ~ (all_0_91_91 = e2)
% 44.01/13.98  																																											| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.01/13.98  																																											|
% 44.01/13.98  																																												+-Applying beta-rule and splitting (176), into two cases.
% 44.01/13.98  																																												|-Branch one:
% 44.01/13.98  																																												| (785) all_0_95_95 = e1
% 44.01/13.98  																																												|
% 44.01/13.98  																																													| Combining equations (785,767) yields a new equation:
% 44.01/13.98  																																													| (385) e2 = e1
% 44.01/13.98  																																													|
% 44.01/13.98  																																													| Equations (385) can reduce 243 to:
% 44.01/13.98  																																													| (311) $false
% 44.01/13.98  																																													|
% 44.01/13.98  																																													|-The branch is then unsatisfiable
% 44.01/13.98  																																												|-Branch two:
% 44.01/13.98  																																												| (680)  ~ (all_0_95_95 = e1)
% 44.01/13.98  																																												| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.01/13.98  																																												|
% 44.01/13.98  																																													| Equations (767) can reduce 680 to:
% 44.01/13.98  																																													| (243)  ~ (e2 = e1)
% 44.01/13.98  																																													|
% 44.01/13.98  																																													+-Applying beta-rule and splitting (250), into two cases.
% 44.01/13.98  																																													|-Branch one:
% 44.01/13.98  																																													| (635) all_0_81_81 = e3
% 44.01/13.98  																																													|
% 44.01/13.98  																																														| Combining equations (635,473) yields a new equation:
% 44.01/13.98  																																														| (547) e3 = e2
% 44.01/13.98  																																														|
% 44.01/13.98  																																														| Simplifying 547 yields:
% 44.01/13.98  																																														| (548) e3 = e2
% 44.01/13.98  																																														|
% 44.01/13.98  																																														| Equations (548) can reduce 169 to:
% 44.01/13.98  																																														| (311) $false
% 44.01/13.98  																																														|
% 44.01/13.98  																																														|-The branch is then unsatisfiable
% 44.01/13.98  																																													|-Branch two:
% 44.01/13.98  																																													| (420)  ~ (all_0_81_81 = e3)
% 44.01/13.98  																																													| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.01/13.98  																																													|
% 44.01/13.98  																																														| Equations (473) can reduce 420 to:
% 44.01/13.98  																																														| (356)  ~ (e3 = e2)
% 44.01/13.98  																																														|
% 44.01/13.98  																																														| Simplifying 356 yields:
% 44.01/13.98  																																														| (169)  ~ (e3 = e2)
% 44.01/13.98  																																														|
% 44.01/13.98  																																														+-Applying beta-rule and splitting (291), into two cases.
% 44.01/13.98  																																														|-Branch one:
% 44.01/13.98  																																														| (758) all_0_90_90 = e0
% 44.01/13.98  																																														|
% 44.01/13.98  																																															| Combining equations (583,758) yields a new equation:
% 44.01/13.98  																																															| (911) e4 = e0
% 44.01/13.98  																																															|
% 44.01/13.98  																																															| Simplifying 911 yields:
% 44.01/13.98  																																															| (912) e4 = e0
% 44.01/13.98  																																															|
% 44.01/13.98  																																															| Equations (912) can reduce 23 to:
% 44.01/13.98  																																															| (311) $false
% 44.01/13.98  																																															|
% 44.01/13.98  																																															|-The branch is then unsatisfiable
% 44.01/13.98  																																														|-Branch two:
% 44.01/13.98  																																														| (762)  ~ (all_0_90_90 = e0)
% 44.01/13.98  																																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.01/13.98  																																														|
% 44.01/13.98  																																															+-Applying beta-rule and splitting (108), into two cases.
% 44.01/13.98  																																															|-Branch one:
% 44.01/13.98  																																															| (477) all_0_81_81 = e1
% 44.01/13.98  																																															|
% 44.01/13.98  																																																| Combining equations (477,473) yields a new equation:
% 44.01/13.98  																																																| (385) e2 = e1
% 44.01/13.98  																																																|
% 44.01/13.98  																																																| Equations (385) can reduce 243 to:
% 44.01/13.98  																																																| (311) $false
% 44.01/13.98  																																																|
% 44.01/13.98  																																																|-The branch is then unsatisfiable
% 44.01/13.98  																																															|-Branch two:
% 44.01/13.98  																																															| (628)  ~ (all_0_81_81 = e1)
% 44.01/13.98  																																															| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.01/13.98  																																															|
% 44.01/13.98  																																																+-Applying beta-rule and splitting (270), into two cases.
% 44.01/13.98  																																																|-Branch one:
% 44.01/13.98  																																																| (744) all_0_95_95 = e3
% 44.01/13.98  																																																|
% 44.01/13.98  																																																	| Combining equations (744,767) yields a new equation:
% 44.01/13.98  																																																	| (547) e3 = e2
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																	| Simplifying 547 yields:
% 44.01/13.98  																																																	| (548) e3 = e2
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																	| Equations (548) can reduce 169 to:
% 44.01/13.98  																																																	| (311) $false
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																	|-The branch is then unsatisfiable
% 44.01/13.98  																																																|-Branch two:
% 44.01/13.98  																																																| (765)  ~ (all_0_95_95 = e3)
% 44.01/13.98  																																																| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.01/13.98  																																																|
% 44.01/13.98  																																																	| Equations (767) can reduce 765 to:
% 44.01/13.98  																																																	| (356)  ~ (e3 = e2)
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																	| Simplifying 356 yields:
% 44.01/13.98  																																																	| (169)  ~ (e3 = e2)
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 44.01/13.98  																																																	|-Branch one:
% 44.01/13.98  																																																	| (916) all_0_84_84 = e0
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																		| Combining equations (916,1265) yields a new equation:
% 44.01/13.98  																																																		| (600) e3 = e0
% 44.01/13.98  																																																		|
% 44.01/13.98  																																																		| Equations (600) can reduce 50 to:
% 44.01/13.98  																																																		| (311) $false
% 44.01/13.98  																																																		|
% 44.01/13.98  																																																		|-The branch is then unsatisfiable
% 44.01/13.98  																																																	|-Branch two:
% 44.01/13.98  																																																	| (919)  ~ (all_0_84_84 = e0)
% 44.01/13.98  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 44.01/13.98  																																																	|
% 44.01/13.98  																																																		| Equations (1265) can reduce 919 to:
% 44.01/13.98  																																																		| (50)  ~ (e3 = e0)
% 44.01/13.98  																																																		|
% 44.01/13.98  																																																		+-Applying beta-rule and splitting (119), into two cases.
% 44.01/13.98  																																																		|-Branch one:
% 44.01/13.98  																																																		| (1343) all_0_92_92 = e2
% 44.01/13.98  																																																		|
% 44.01/13.98  																																																			| Equations (1343) can reduce 298 to:
% 44.01/13.98  																																																			| (311) $false
% 44.01/13.98  																																																			|
% 44.01/13.98  																																																			|-The branch is then unsatisfiable
% 44.01/13.98  																																																		|-Branch two:
% 44.01/13.98  																																																		| (298)  ~ (all_0_92_92 = e2)
% 44.01/13.98  																																																		| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.01/13.98  																																																		|
% 44.01/13.98  																																																			+-Applying beta-rule and splitting (48), into two cases.
% 44.01/13.98  																																																			|-Branch one:
% 44.01/13.98  																																																			| (525) all_0_98_98 = e2
% 44.01/13.98  																																																			|
% 44.01/13.98  																																																				| Equations (525) can reduce 1349 to:
% 44.01/13.98  																																																				| (311) $false
% 44.01/13.98  																																																				|
% 44.01/13.98  																																																				|-The branch is then unsatisfiable
% 44.01/13.98  																																																			|-Branch two:
% 44.01/13.98  																																																			| (1349)  ~ (all_0_98_98 = e2)
% 44.01/13.98  																																																			| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.01/13.98  																																																			|
% 44.01/13.98  																																																				+-Applying beta-rule and splitting (1400), into two cases.
% 44.01/13.98  																																																				|-Branch one:
% 44.01/13.98  																																																				| (1456) all_0_91_91 = e0
% 44.01/13.98  																																																				|
% 44.01/13.98  																																																					| Equations (1456) can reduce 265 to:
% 44.01/13.98  																																																					| (2299)  ~ (all_0_92_92 = e0)
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																					| Simplifying 2299 yields:
% 44.01/13.98  																																																					| (946)  ~ (all_0_92_92 = e0)
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																					| Equations (1456) can reduce 296 to:
% 44.01/13.98  																																																					| (510)  ~ (e2 = e0)
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																					| Simplifying 510 yields:
% 44.01/13.98  																																																					| (76)  ~ (e2 = e0)
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																					+-Applying beta-rule and splitting (1712), into two cases.
% 44.01/13.98  																																																					|-Branch one:
% 44.01/13.98  																																																					| (795) all_0_83_83 = e3
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																						| Combining equations (795,453) yields a new equation:
% 44.01/13.98  																																																						| (547) e3 = e2
% 44.01/13.98  																																																						|
% 44.01/13.98  																																																						| Simplifying 547 yields:
% 44.01/13.98  																																																						| (548) e3 = e2
% 44.01/13.98  																																																						|
% 44.01/13.98  																																																						| Equations (548) can reduce 169 to:
% 44.01/13.98  																																																						| (311) $false
% 44.01/13.98  																																																						|
% 44.01/13.98  																																																						|-The branch is then unsatisfiable
% 44.01/13.98  																																																					|-Branch two:
% 44.01/13.98  																																																					| (779)  ~ (all_0_83_83 = e3)
% 44.01/13.98  																																																					| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.01/13.98  																																																					|
% 44.01/13.98  																																																						+-Applying beta-rule and splitting (920), into two cases.
% 44.01/13.98  																																																						|-Branch one:
% 44.01/13.98  																																																						| (861) all_0_87_87 = e0
% 44.01/13.98  																																																						|
% 44.01/13.98  																																																							| Combining equations (374,861) yields a new equation:
% 44.01/13.98  																																																							| (923) e2 = e0
% 44.01/13.98  																																																							|
% 44.01/13.98  																																																							| Simplifying 923 yields:
% 44.01/13.98  																																																							| (379) e2 = e0
% 44.01/13.98  																																																							|
% 44.01/13.98  																																																							| Equations (379) can reduce 76 to:
% 44.01/13.98  																																																							| (311) $false
% 44.01/13.98  																																																							|
% 44.01/13.98  																																																							|-The branch is then unsatisfiable
% 44.01/13.98  																																																						|-Branch two:
% 44.01/13.98  																																																						| (889)  ~ (all_0_87_87 = e0)
% 44.01/13.98  																																																						| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 44.01/13.98  																																																						|
% 44.01/13.98  																																																							+-Applying beta-rule and splitting (931), into two cases.
% 44.01/13.98  																																																							|-Branch one:
% 44.01/13.98  																																																							| (942) all_0_92_92 = e0
% 44.01/13.98  																																																							|
% 44.01/13.98  																																																								| Equations (942) can reduce 946 to:
% 44.01/13.98  																																																								| (311) $false
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								|-The branch is then unsatisfiable
% 44.01/13.98  																																																							|-Branch two:
% 44.01/13.98  																																																							| (946)  ~ (all_0_92_92 = e0)
% 44.01/13.98  																																																							| (560) all_0_97_97 = e0
% 44.01/13.98  																																																							|
% 44.01/13.98  																																																								| Equations (560) can reduce 258 to:
% 44.01/13.98  																																																								| (946)  ~ (all_0_92_92 = e0)
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								| Equations (560) can reduce 148 to:
% 44.01/13.98  																																																								| (2058)  ~ (all_0_98_98 = e0)
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								| Simplifying 2058 yields:
% 44.01/13.98  																																																								| (2059)  ~ (all_0_98_98 = e0)
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								| Equations (560) can reduce 428 to:
% 44.01/13.98  																																																								| (906)  ~ (e3 = e0)
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								| Simplifying 906 yields:
% 44.01/13.98  																																																								| (50)  ~ (e3 = e0)
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																								+-Applying beta-rule and splitting (1842), into two cases.
% 44.01/13.98  																																																								|-Branch one:
% 44.01/13.98  																																																								| (588) all_0_91_91 = e3
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																									| Combining equations (1456,588) yields a new equation:
% 44.01/13.98  																																																									| (600) e3 = e0
% 44.01/13.98  																																																									|
% 44.01/13.98  																																																									| Equations (600) can reduce 50 to:
% 44.01/13.98  																																																									| (311) $false
% 44.01/13.98  																																																									|
% 44.01/13.98  																																																									|-The branch is then unsatisfiable
% 44.01/13.98  																																																								|-Branch two:
% 44.01/13.98  																																																								| (571)  ~ (all_0_91_91 = e3)
% 44.01/13.98  																																																								| (778) all_0_96_96 = e3
% 44.01/13.98  																																																								|
% 44.01/13.98  																																																									| From (778) and (4960) follows:
% 44.01/13.98  																																																									| (5343) op(e2, e3) = e0
% 44.01/13.98  																																																									|
% 44.01/13.98  																																																									+-Applying beta-rule and splitting (3735), into two cases.
% 44.01/13.98  																																																									|-Branch one:
% 44.01/13.98  																																																									| (836) all_0_92_92 = e1
% 44.01/13.98  																																																									|
% 44.01/13.98  																																																										| Equations (836) can reduce 426 to:
% 44.01/13.98  																																																										| (683)  ~ (e3 = e1)
% 44.01/13.98  																																																										|
% 44.01/13.98  																																																										| Simplifying 683 yields:
% 44.01/13.98  																																																										| (20)  ~ (e3 = e1)
% 44.01/13.98  																																																										|
% 44.01/13.98  																																																										| Equations (836) can reduce 946 to:
% 44.01/13.98  																																																										| (264)  ~ (e1 = e0)
% 44.01/13.98  																																																										|
% 44.01/13.98  																																																										+-Applying beta-rule and splitting (788), into two cases.
% 44.01/13.98  																																																										|-Branch one:
% 44.01/13.98  																																																										| (960) all_0_96_96 = e1
% 44.01/13.98  																																																										|
% 44.01/13.98  																																																											| Combining equations (778,960) yields a new equation:
% 44.01/13.98  																																																											| (825) e3 = e1
% 44.01/13.98  																																																											|
% 44.01/13.98  																																																											| Simplifying 825 yields:
% 44.01/13.98  																																																											| (772) e3 = e1
% 44.01/13.98  																																																											|
% 44.01/13.98  																																																											| Equations (772) can reduce 20 to:
% 44.01/13.98  																																																											| (311) $false
% 44.01/13.98  																																																											|
% 44.01/13.98  																																																											|-The branch is then unsatisfiable
% 44.01/13.98  																																																										|-Branch two:
% 44.01/13.98  																																																										| (1479)  ~ (all_0_96_96 = e1)
% 44.01/13.98  																																																										| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.01/13.98  																																																										|
% 44.01/13.98  																																																											+-Applying beta-rule and splitting (817), into two cases.
% 44.01/13.98  																																																											|-Branch one:
% 44.01/13.98  																																																											| (504) all_0_88_88 = e1
% 44.01/13.98  																																																											|
% 44.01/13.98  																																																												| Combining equations (504,507) yields a new equation:
% 44.01/13.98  																																																												| (1107) e1 = e0
% 44.01/13.98  																																																												|
% 44.01/13.98  																																																												| Simplifying 1107 yields:
% 44.01/13.98  																																																												| (865) e1 = e0
% 44.01/13.98  																																																												|
% 44.01/13.98  																																																												| Equations (865) can reduce 264 to:
% 44.01/13.98  																																																												| (311) $false
% 44.01/13.98  																																																												|
% 44.01/13.98  																																																												|-The branch is then unsatisfiable
% 44.01/13.98  																																																											|-Branch two:
% 44.01/13.98  																																																											| (479)  ~ (all_0_88_88 = e1)
% 44.01/13.98  																																																											| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.01/13.98  																																																											|
% 44.01/13.98  																																																												| Equations (507) can reduce 479 to:
% 44.01/13.98  																																																												| (859)  ~ (e1 = e0)
% 44.01/13.98  																																																												|
% 44.01/13.99  																																																												| Simplifying 859 yields:
% 44.01/13.99  																																																												| (264)  ~ (e1 = e0)
% 44.01/13.99  																																																												|
% 44.01/13.99  																																																												+-Applying beta-rule and splitting (5118), into two cases.
% 44.01/13.99  																																																												|-Branch one:
% 44.01/13.99  																																																												| (1543) all_0_98_98 = e1
% 44.01/13.99  																																																												|
% 44.01/13.99  																																																													| Equations (1543) can reduce 2059 to:
% 44.01/13.99  																																																													| (264)  ~ (e1 = e0)
% 44.01/13.99  																																																													|
% 44.01/13.99  																																																													| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 44.01/13.99  																																																													| (865) e1 = e0
% 44.01/13.99  																																																													|
% 44.01/13.99  																																																													| Equations (865) can reduce 264 to:
% 44.01/13.99  																																																													| (311) $false
% 44.01/13.99  																																																													|
% 44.01/13.99  																																																													|-The branch is then unsatisfiable
% 44.01/13.99  																																																												|-Branch two:
% 44.01/13.99  																																																												| (1804)  ~ (all_0_98_98 = e1)
% 44.01/13.99  																																																												| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.01/13.99  																																																												|
% 44.01/13.99  																																																													+-Applying beta-rule and splitting (2126), into two cases.
% 44.01/13.99  																																																													|-Branch one:
% 44.01/13.99  																																																													| (542) all_0_97_97 = e1
% 44.01/13.99  																																																													|
% 44.01/13.99  																																																														| Combining equations (542,560) yields a new equation:
% 44.01/13.99  																																																														| (1107) e1 = e0
% 44.01/13.99  																																																														|
% 44.01/13.99  																																																														| Simplifying 1107 yields:
% 44.01/13.99  																																																														| (865) e1 = e0
% 44.01/13.99  																																																														|
% 44.01/13.99  																																																														| Equations (865) can reduce 264 to:
% 44.01/13.99  																																																														| (311) $false
% 44.01/13.99  																																																														|
% 44.01/13.99  																																																														|-The branch is then unsatisfiable
% 44.01/13.99  																																																													|-Branch two:
% 44.01/13.99  																																																													| (486)  ~ (all_0_97_97 = e1)
% 44.01/13.99  																																																													| (1543) all_0_98_98 = e1
% 44.01/13.99  																																																													|
% 44.01/13.99  																																																														| Equations (1543) can reduce 1804 to:
% 44.01/13.99  																																																														| (311) $false
% 44.01/13.99  																																																														|
% 44.01/13.99  																																																														|-The branch is then unsatisfiable
% 44.01/13.99  																																																									|-Branch two:
% 44.01/13.99  																																																									| (840)  ~ (all_0_92_92 = e1)
% 44.01/13.99  																																																									| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 44.01/13.99  																																																									|
% 44.01/13.99  																																																										+-Applying beta-rule and splitting (3800), into two cases.
% 44.01/13.99  																																																										|-Branch one:
% 44.01/13.99  																																																										| (882) all_0_92_92 = e3
% 44.01/13.99  																																																										|
% 44.01/13.99  																																																											| Equations (882) can reduce 426 to:
% 44.01/13.99  																																																											| (311) $false
% 44.01/13.99  																																																											|
% 44.01/13.99  																																																											|-The branch is then unsatisfiable
% 44.01/13.99  																																																										|-Branch two:
% 44.01/13.99  																																																										| (426)  ~ (all_0_92_92 = e3)
% 44.01/13.99  																																																										| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 44.01/13.99  																																																										|
% 44.01/13.99  																																																											+-Applying beta-rule and splitting (16683), into two cases.
% 44.01/13.99  																																																											|-Branch one:
% 44.01/13.99  																																																											| (942) all_0_92_92 = e0
% 44.01/13.99  																																																											|
% 44.01/13.99  																																																												| Equations (942) can reduce 946 to:
% 44.01/13.99  																																																												| (311) $false
% 44.01/13.99  																																																												|
% 44.01/13.99  																																																												|-The branch is then unsatisfiable
% 44.01/13.99  																																																											|-Branch two:
% 44.01/13.99  																																																											| (946)  ~ (all_0_92_92 = e0)
% 44.01/13.99  																																																											| (442) all_0_92_92 = e4
% 44.01/13.99  																																																											|
% 44.01/13.99  																																																												| Equations (442) can reduce 1619 to:
% 44.01/13.99  																																																												| (311) $false
% 44.01/13.99  																																																												|
% 44.01/13.99  																																																												|-The branch is then unsatisfiable
% 44.01/13.99  																																																				|-Branch two:
% 44.01/13.99  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 44.01/13.99  																																																				| (1837) all_0_96_96 = e0
% 44.01/13.99  																																																				|
% 44.01/13.99  																																																					| Equations (1837) can reduce 64 to:
% 44.01/13.99  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 44.01/13.99  																																																					|
% 44.01/13.99  																																																					| Equations (1837) can reduce 1479 to:
% 44.01/13.99  																																																					| (859)  ~ (e1 = e0)
% 44.01/13.99  																																																					|
% 44.01/13.99  																																																					| Simplifying 859 yields:
% 44.01/13.99  																																																					| (264)  ~ (e1 = e0)
% 44.01/13.99  																																																					|
% 44.01/13.99  																																																					+-Applying beta-rule and splitting (1712), into two cases.
% 44.01/13.99  																																																					|-Branch one:
% 44.01/13.99  																																																					| (795) all_0_83_83 = e3
% 44.01/13.99  																																																					|
% 44.01/13.99  																																																						| Combining equations (795,453) yields a new equation:
% 44.01/13.99  																																																						| (547) e3 = e2
% 44.01/13.99  																																																						|
% 44.01/13.99  																																																						| Simplifying 547 yields:
% 44.01/13.99  																																																						| (548) e3 = e2
% 44.01/13.99  																																																						|
% 44.01/13.99  																																																						| Equations (548) can reduce 169 to:
% 44.01/13.99  																																																						| (311) $false
% 44.01/13.99  																																																						|
% 44.01/13.99  																																																						|-The branch is then unsatisfiable
% 44.01/13.99  																																																					|-Branch two:
% 44.01/13.99  																																																					| (779)  ~ (all_0_83_83 = e3)
% 44.01/13.99  																																																					| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.01/13.99  																																																					|
% 44.01/13.99  																																																						+-Applying beta-rule and splitting (1726), into two cases.
% 44.01/13.99  																																																						|-Branch one:
% 44.01/13.99  																																																						| (801) all_0_91_91 = e1
% 44.04/13.99  																																																						|
% 44.04/13.99  																																																							| Equations (801) can reduce 959 to:
% 44.04/13.99  																																																							| (311) $false
% 44.04/13.99  																																																							|
% 44.04/13.99  																																																							|-The branch is then unsatisfiable
% 44.04/13.99  																																																						|-Branch two:
% 44.04/13.99  																																																						| (959)  ~ (all_0_91_91 = e1)
% 44.04/13.99  																																																						| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 44.04/13.99  																																																						|
% 44.04/13.99  																																																							+-Applying beta-rule and splitting (1842), into two cases.
% 44.04/13.99  																																																							|-Branch one:
% 44.04/13.99  																																																							| (588) all_0_91_91 = e3
% 44.04/13.99  																																																							|
% 44.04/13.99  																																																								| Equations (588) can reduce 44 to:
% 44.04/13.99  																																																								| (807)  ~ (all_0_93_93 = e3)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Simplifying 807 yields:
% 44.04/13.99  																																																								| (602)  ~ (all_0_93_93 = e3)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Equations (588) can reduce 133 to:
% 44.04/13.99  																																																								| (783)  ~ (e4 = e3)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Simplifying 783 yields:
% 44.04/13.99  																																																								| (177)  ~ (e4 = e3)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Equations (588) can reduce 959 to:
% 44.04/13.99  																																																								| (20)  ~ (e3 = e1)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Equations (588) can reduce 1487 to:
% 44.04/13.99  																																																								| (50)  ~ (e3 = e0)
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								+-Applying beta-rule and splitting (4488), into two cases.
% 44.04/13.99  																																																								|-Branch one:
% 44.04/13.99  																																																								| (804) all_0_85_85 = e3
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																									| Combining equations (804,493) yields a new equation:
% 44.04/13.99  																																																									| (434) e4 = e3
% 44.04/13.99  																																																									|
% 44.04/13.99  																																																									| Equations (434) can reduce 177 to:
% 44.04/13.99  																																																									| (311) $false
% 44.04/13.99  																																																									|
% 44.04/13.99  																																																									|-The branch is then unsatisfiable
% 44.04/13.99  																																																								|-Branch two:
% 44.04/13.99  																																																								| (952)  ~ (all_0_85_85 = e3)
% 44.04/13.99  																																																								| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																									+-Applying beta-rule and splitting (1455), into two cases.
% 44.04/13.99  																																																									|-Branch one:
% 44.04/13.99  																																																									| (1456) all_0_91_91 = e0
% 44.04/13.99  																																																									|
% 44.04/13.99  																																																										| Combining equations (588,1456) yields a new equation:
% 44.04/13.99  																																																										| (599) e3 = e0
% 44.04/13.99  																																																										|
% 44.04/13.99  																																																										| Simplifying 599 yields:
% 44.04/13.99  																																																										| (600) e3 = e0
% 44.04/13.99  																																																										|
% 44.04/13.99  																																																										| Equations (600) can reduce 50 to:
% 44.04/13.99  																																																										| (311) $false
% 44.04/13.99  																																																										|
% 44.04/13.99  																																																										|-The branch is then unsatisfiable
% 44.04/13.99  																																																									|-Branch two:
% 44.04/13.99  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 44.04/13.99  																																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.04/13.99  																																																									|
% 44.04/13.99  																																																										+-Applying beta-rule and splitting (4559), into two cases.
% 44.04/13.99  																																																										|-Branch one:
% 44.04/13.99  																																																										| (570) all_0_93_93 = e3
% 44.04/13.99  																																																										|
% 44.04/13.99  																																																											| Equations (570) can reduce 602 to:
% 44.04/13.99  																																																											| (311) $false
% 44.04/13.99  																																																											|
% 44.04/13.99  																																																											|-The branch is then unsatisfiable
% 44.04/13.99  																																																										|-Branch two:
% 44.04/13.99  																																																										| (602)  ~ (all_0_93_93 = e3)
% 44.04/13.99  																																																										| (969) all_0_98_98 = e3
% 44.04/13.99  																																																										|
% 44.04/13.99  																																																											+-Applying beta-rule and splitting (1488), into two cases.
% 44.04/13.99  																																																											|-Branch one:
% 44.04/13.99  																																																											| (942) all_0_92_92 = e0
% 44.04/13.99  																																																											|
% 44.04/13.99  																																																												| Equations (942) can reduce 258 to:
% 44.04/13.99  																																																												| (938)  ~ (all_0_97_97 = e0)
% 44.04/13.99  																																																												|
% 44.04/13.99  																																																												| Simplifying 938 yields:
% 44.04/13.99  																																																												| (609)  ~ (all_0_97_97 = e0)
% 44.04/13.99  																																																												|
% 44.04/13.99  																																																												+-Applying beta-rule and splitting (1526), into two cases.
% 44.04/13.99  																																																												|-Branch one:
% 44.04/13.99  																																																												| (801) all_0_91_91 = e1
% 44.04/13.99  																																																												|
% 44.04/13.99  																																																													| Combining equations (588,801) yields a new equation:
% 44.04/13.99  																																																													| (825) e3 = e1
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																													| Simplifying 825 yields:
% 44.04/13.99  																																																													| (772) e3 = e1
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																													| Equations (772) can reduce 20 to:
% 44.04/13.99  																																																													| (311) $false
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																													|-The branch is then unsatisfiable
% 44.04/13.99  																																																												|-Branch two:
% 44.04/13.99  																																																												| (959)  ~ (all_0_91_91 = e1)
% 44.04/13.99  																																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.04/13.99  																																																												|
% 44.04/13.99  																																																													| Equations (588) can reduce 959 to:
% 44.04/13.99  																																																													| (20)  ~ (e3 = e1)
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																													+-Applying beta-rule and splitting (788), into two cases.
% 44.04/13.99  																																																													|-Branch one:
% 44.04/13.99  																																																													| (960) all_0_96_96 = e1
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																														| Combining equations (1837,960) yields a new equation:
% 44.04/13.99  																																																														| (865) e1 = e0
% 44.04/13.99  																																																														|
% 44.04/13.99  																																																														| Equations (865) can reduce 264 to:
% 44.04/13.99  																																																														| (311) $false
% 44.04/13.99  																																																														|
% 44.04/13.99  																																																														|-The branch is then unsatisfiable
% 44.04/13.99  																																																													|-Branch two:
% 44.04/13.99  																																																													| (1479)  ~ (all_0_96_96 = e1)
% 44.04/13.99  																																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.04/13.99  																																																													|
% 44.04/13.99  																																																														+-Applying beta-rule and splitting (2126), into two cases.
% 44.04/13.99  																																																														|-Branch one:
% 44.04/13.99  																																																														| (542) all_0_97_97 = e1
% 44.04/13.99  																																																														|
% 44.04/13.99  																																																															| Equations (542) can reduce 609 to:
% 44.04/13.99  																																																															| (264)  ~ (e1 = e0)
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																															| From (542) and (8666) follows:
% 44.04/13.99  																																																															| (4548) op(e1, e1) = e0
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																															+-Applying beta-rule and splitting (817), into two cases.
% 44.04/13.99  																																																															|-Branch one:
% 44.04/13.99  																																																															| (504) all_0_88_88 = e1
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																																| Combining equations (504,507) yields a new equation:
% 44.04/13.99  																																																																| (1107) e1 = e0
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																| Simplifying 1107 yields:
% 44.04/13.99  																																																																| (865) e1 = e0
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																| Equations (865) can reduce 264 to:
% 44.04/13.99  																																																																| (311) $false
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																|-The branch is then unsatisfiable
% 44.04/13.99  																																																															|-Branch two:
% 44.04/13.99  																																																															| (479)  ~ (all_0_88_88 = e1)
% 44.04/13.99  																																																															| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																																| Equations (507) can reduce 479 to:
% 44.04/13.99  																																																																| (859)  ~ (e1 = e0)
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																| Simplifying 859 yields:
% 44.04/13.99  																																																																| (264)  ~ (e1 = e0)
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																+-Applying beta-rule and splitting (1556), into two cases.
% 44.04/13.99  																																																																|-Branch one:
% 44.04/13.99  																																																																| (836) all_0_92_92 = e1
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																	| Combining equations (942,836) yields a new equation:
% 44.04/13.99  																																																																	| (865) e1 = e0
% 44.04/13.99  																																																																	|
% 44.04/13.99  																																																																	| Equations (865) can reduce 264 to:
% 44.04/13.99  																																																																	| (311) $false
% 44.04/13.99  																																																																	|
% 44.04/13.99  																																																																	|-The branch is then unsatisfiable
% 44.04/13.99  																																																																|-Branch two:
% 44.04/13.99  																																																																| (840)  ~ (all_0_92_92 = e1)
% 44.04/13.99  																																																																| (566) all_0_93_93 = e1
% 44.04/13.99  																																																																|
% 44.04/13.99  																																																																	| From (566) and (21) follows:
% 44.04/13.99  																																																																	| (14721) op(e1, e1) = all_0_76_76
% 44.04/13.99  																																																																	|
% 44.04/13.99  																																																																	| Instantiating formula (262) with e1, e1, e0, all_0_76_76 and discharging atoms op(e1, e1) = all_0_76_76, op(e1, e1) = e0, yields:
% 44.04/13.99  																																																																	| (8960) all_0_76_76 = e0
% 44.04/13.99  																																																																	|
% 44.04/13.99  																																																																	| Equations (8960) can reduce 1393 to:
% 44.04/13.99  																																																																	| (311) $false
% 44.04/13.99  																																																																	|
% 44.04/13.99  																																																																	|-The branch is then unsatisfiable
% 44.04/13.99  																																																														|-Branch two:
% 44.04/13.99  																																																														| (486)  ~ (all_0_97_97 = e1)
% 44.04/13.99  																																																														| (1543) all_0_98_98 = e1
% 44.04/13.99  																																																														|
% 44.04/13.99  																																																															| Combining equations (1543,969) yields a new equation:
% 44.04/13.99  																																																															| (772) e3 = e1
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																															| Equations (772) can reduce 20 to:
% 44.04/13.99  																																																															| (311) $false
% 44.04/13.99  																																																															|
% 44.04/13.99  																																																															|-The branch is then unsatisfiable
% 44.04/13.99  																																																											|-Branch two:
% 44.04/13.99  																																																											| (946)  ~ (all_0_92_92 = e0)
% 44.04/13.99  																																																											| (604) all_0_93_93 = e0
% 44.04/13.99  																																																											|
% 44.04/13.99  																																																												| Equations (604) can reduce 509 to:
% 44.04/13.99  																																																												| (311) $false
% 44.04/13.99  																																																												|
% 44.04/13.99  																																																												|-The branch is then unsatisfiable
% 44.04/13.99  																																																							|-Branch two:
% 44.04/13.99  																																																							| (571)  ~ (all_0_91_91 = e3)
% 44.04/13.99  																																																							| (778) all_0_96_96 = e3
% 44.04/13.99  																																																							|
% 44.04/13.99  																																																								| Combining equations (778,1837) yields a new equation:
% 44.04/13.99  																																																								| (599) e3 = e0
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Simplifying 599 yields:
% 44.04/13.99  																																																								| (600) e3 = e0
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								| Equations (600) can reduce 50 to:
% 44.04/13.99  																																																								| (311) $false
% 44.04/13.99  																																																								|
% 44.04/13.99  																																																								|-The branch is then unsatisfiable
% 44.04/14.00  																																					|-Branch two:
% 44.04/14.00  																																					| (422)  ~ (all_0_84_84 = e3)
% 44.04/14.00  																																					| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.04/14.00  																																					|
% 44.04/14.00  																																						+-Applying beta-rule and splitting (1268), into two cases.
% 44.04/14.00  																																						|-Branch one:
% 44.04/14.00  																																						| (916) all_0_84_84 = e0
% 44.04/14.00  																																						|
% 44.04/14.00  																																							| Equations (916) can reduce 919 to:
% 44.04/14.00  																																							| (311) $false
% 44.04/14.00  																																							|
% 44.04/14.00  																																							|-The branch is then unsatisfiable
% 44.04/14.00  																																						|-Branch two:
% 44.04/14.00  																																						| (919)  ~ (all_0_84_84 = e0)
% 44.04/14.00  																																						| (438) all_0_84_84 = e4
% 44.04/14.00  																																						|
% 44.04/14.00  																																							| Equations (438) can reduce 417 to:
% 44.04/14.00  																																							| (311) $false
% 44.04/14.00  																																							|
% 44.04/14.00  																																							|-The branch is then unsatisfiable
% 44.04/14.00  																															|-Branch two:
% 44.04/14.00  																															| (914)  ~ (all_0_82_82 = e0)
% 44.04/14.00  																															| (469) all_0_82_82 = e4
% 44.04/14.00  																															|
% 44.04/14.00  																																| Equations (469) can reduce 465 to:
% 44.04/14.00  																																| (311) $false
% 44.04/14.00  																																|
% 44.04/14.00  																																|-The branch is then unsatisfiable
% 44.04/14.00  																								|-Branch two:
% 44.04/14.00  																								| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.04/14.00  																								|
% 44.04/14.00  																									| Applying alpha-rule on (973) yields:
% 44.04/14.00  																									| (974) all_0_50_50 = e0
% 44.04/14.00  																									| (975)  ~ (all_0_51_51 = e3)
% 44.04/14.00  																									|
% 44.04/14.00  																									| Combining equations (13437,974) yields a new equation:
% 44.04/14.00  																									| (923) e2 = e0
% 44.04/14.00  																									|
% 44.04/14.00  																									| Simplifying 923 yields:
% 44.04/14.00  																									| (379) e2 = e0
% 44.04/14.00  																									|
% 44.04/14.00  																									| Equations (379) can reduce 76 to:
% 44.04/14.00  																									| (311) $false
% 44.04/14.00  																									|
% 44.04/14.00  																									|-The branch is then unsatisfiable
% 44.04/14.00  																							|-Branch two:
% 44.04/14.00  																							| (418)  ~ (all_0_78_78 = e3)
% 44.04/14.00  																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.04/14.00  																							|
% 44.04/14.00  																								+-Applying beta-rule and splitting (675), into two cases.
% 44.04/14.00  																								|-Branch one:
% 44.04/14.00  																								| (676) all_0_78_78 = e1
% 44.04/14.00  																								|
% 44.04/14.00  																									| Equations (676) can reduce 1601 to:
% 44.04/14.00  																									| (311) $false
% 44.04/14.00  																									|
% 44.04/14.00  																									|-The branch is then unsatisfiable
% 44.04/14.00  																								|-Branch two:
% 44.04/14.00  																								| (1601)  ~ (all_0_78_78 = e1)
% 44.04/14.00  																								| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.04/14.00  																								|
% 44.04/14.00  																									+-Applying beta-rule and splitting (1606), into two cases.
% 44.04/14.00  																									|-Branch one:
% 44.04/14.00  																									| (771) all_0_78_78 = e3
% 44.04/14.00  																									|
% 44.04/14.00  																										| Equations (771) can reduce 418 to:
% 44.04/14.00  																										| (311) $false
% 44.04/14.00  																										|
% 44.04/14.00  																										|-The branch is then unsatisfiable
% 44.04/14.00  																									|-Branch two:
% 44.04/14.00  																									| (418)  ~ (all_0_78_78 = e3)
% 44.04/14.00  																									| (463) all_0_78_78 = e4
% 44.04/14.00  																									|
% 44.04/14.00  																										| Equations (463) can reduce 640 to:
% 44.04/14.00  																										| (311) $false
% 44.04/14.00  																										|
% 44.04/14.00  																										|-The branch is then unsatisfiable
% 44.04/14.00  																						|-Branch two:
% 44.04/14.00  																						| (461)  ~ (all_0_79_79 = e1)
% 44.04/14.00  																						| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 44.04/14.00  																						|
% 44.04/14.00  																							+-Applying beta-rule and splitting (8180), into two cases.
% 44.04/14.00  																							|-Branch one:
% 44.04/14.00  																							| (824) all_0_80_80 = e1
% 44.04/14.00  																							|
% 44.04/14.00  																								| Combining equations (433,824) yields a new equation:
% 44.04/14.00  																								| (813) e4 = e1
% 44.04/14.00  																								|
% 44.04/14.00  																								| Simplifying 813 yields:
% 44.04/14.00  																								| (814) e4 = e1
% 44.04/14.00  																								|
% 44.04/14.00  																								| Equations (814) can reduce 256 to:
% 44.04/14.00  																								| (311) $false
% 44.04/14.00  																								|
% 44.04/14.00  																								|-The branch is then unsatisfiable
% 44.04/14.00  																							|-Branch two:
% 44.04/14.00  																							| (828)  ~ (all_0_80_80 = e1)
% 44.04/14.00  																							| (477) all_0_81_81 = e1
% 44.04/14.00  																							|
% 44.04/14.00  																								| Combining equations (473,477) yields a new equation:
% 44.04/14.00  																								| (408) e2 = e1
% 44.04/14.00  																								|
% 44.04/14.00  																								| Simplifying 408 yields:
% 44.04/14.00  																								| (385) e2 = e1
% 44.04/14.00  																								|
% 44.04/14.00  																								| Equations (385) can reduce 243 to:
% 44.04/14.00  																								| (311) $false
% 44.04/14.00  																								|
% 44.04/14.00  																								|-The branch is then unsatisfiable
% 44.04/14.00  																				|-Branch two:
% 44.04/14.00  																				| (436)  ~ (all_0_80_80 = e4)
% 44.04/14.00  																				| (638) all_0_81_81 = e4
% 44.04/14.00  																				|
% 44.04/14.00  																					| Combining equations (473,638) yields a new equation:
% 44.04/14.00  																					| (310) e4 = e2
% 44.04/14.00  																					|
% 44.04/14.00  																					| Equations (310) can reduce 79 to:
% 44.04/14.00  																					| (311) $false
% 44.04/14.00  																					|
% 44.04/14.00  																					|-The branch is then unsatisfiable
% 44.04/14.00  																	|-Branch two:
% 44.04/14.00  																	| (355)  ~ (all_0_95_95 = e2)
% 44.04/14.00  																	| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.04/14.00  																	|
% 44.04/14.00  																		+-Applying beta-rule and splitting (1772), into two cases.
% 44.04/14.00  																		|-Branch one:
% 44.04/14.00  																		| (1704) all_0_96_96 = e2
% 44.04/14.00  																		|
% 44.04/14.00  																			| Equations (1704) can reduce 1638 to:
% 44.04/14.00  																			| (311) $false
% 44.04/14.00  																			|
% 44.04/14.00  																			|-The branch is then unsatisfiable
% 44.04/14.00  																		|-Branch two:
% 44.04/14.00  																		| (1638)  ~ (all_0_96_96 = e2)
% 44.04/14.00  																		| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 44.04/14.00  																		|
% 44.04/14.00  																			+-Applying beta-rule and splitting (1783), into two cases.
% 44.04/14.00  																			|-Branch one:
% 44.04/14.00  																			| (538) all_0_97_97 = e2
% 44.04/14.00  																			|
% 44.04/14.00  																				| Equations (538) can reduce 527 to:
% 44.04/14.00  																				| (311) $false
% 44.04/14.00  																				|
% 44.04/14.00  																				|-The branch is then unsatisfiable
% 44.04/14.00  																			|-Branch two:
% 44.04/14.00  																			| (527)  ~ (all_0_97_97 = e2)
% 44.04/14.00  																			| (525) all_0_98_98 = e2
% 44.04/14.00  																			|
% 44.04/14.00  																				| Equations (525) can reduce 1349 to:
% 44.04/14.00  																				| (311) $false
% 44.04/14.00  																				|
% 44.04/14.00  																				|-The branch is then unsatisfiable
% 44.04/14.00  											|-Branch two:
% 44.04/14.00  											| (398)  ~ (all_0_83_83 = e2)
% 44.04/14.00  											| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 44.04/14.00  											|
% 44.04/14.00  												+-Applying beta-rule and splitting (1627), into two cases.
% 44.04/14.00  												|-Branch one:
% 44.04/14.00  												| (453) all_0_83_83 = e2
% 44.04/14.00  												|
% 44.04/14.00  													| Equations (453) can reduce 398 to:
% 44.04/14.00  													| (311) $false
% 44.04/14.00  													|
% 44.04/14.00  													|-The branch is then unsatisfiable
% 44.04/14.00  												|-Branch two:
% 44.04/14.00  												| (398)  ~ (all_0_83_83 = e2)
% 44.04/14.00  												| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 44.04/14.00  												|
% 44.04/14.00  													+-Applying beta-rule and splitting (8061), into two cases.
% 44.04/14.00  													|-Branch one:
% 44.04/14.00  													| (1723) all_0_91_91 = e2
% 44.04/14.00  													|
% 44.04/14.00  														| Equations (1723) can reduce 296 to:
% 44.04/14.00  														| (311) $false
% 44.04/14.00  														|
% 44.04/14.00  														|-The branch is then unsatisfiable
% 44.04/14.00  													|-Branch two:
% 44.04/14.00  													| (296)  ~ (all_0_91_91 = e2)
% 44.04/14.00  													| (1704) all_0_96_96 = e2
% 44.04/14.00  													|
% 44.04/14.00  														| Equations (1704) can reduce 214 to:
% 44.04/14.00  														| (1622)  ~ (all_0_79_79 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Equations (1704) can reduce 64 to:
% 44.04/14.00  														| (296)  ~ (all_0_91_91 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Equations (1704) can reduce 279 to:
% 44.04/14.00  														| (355)  ~ (all_0_95_95 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Equations (1704) can reduce 22 to:
% 44.04/14.00  														| (2376)  ~ (all_0_97_97 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Simplifying 2376 yields:
% 44.04/14.00  														| (527)  ~ (all_0_97_97 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Equations (1704) can reduce 43 to:
% 44.04/14.00  														| (1348)  ~ (all_0_98_98 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Simplifying 1348 yields:
% 44.04/14.00  														| (1349)  ~ (all_0_98_98 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Equations (1704) can reduce 115 to:
% 44.04/14.00  														| (528)  ~ (e4 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| Simplifying 528 yields:
% 44.04/14.00  														| (79)  ~ (e4 = e2)
% 44.04/14.00  														|
% 44.04/14.00  														| From (1704) and (212) follows:
% 44.04/14.00  														| (8075) op(e2, e2) = all_0_58_58
% 44.04/14.00  														|
% 44.04/14.00  														| From (1704) and (268) follows:
% 44.04/14.00  														| (8076) op(e0, e2) = all_0_59_59
% 44.04/14.00  														|
% 44.04/14.00  														| From (1704) and (59) follows:
% 44.04/14.00  														| (8077) op(e0, e2) = e2
% 44.04/14.00  														|
% 44.04/14.00  														| Instantiating formula (262) with e2, e2, all_0_58_58, e4 and discharging atoms op(e2, e2) = all_0_58_58, op(e2, e2) = e4, yields:
% 44.04/14.00  														| (8082) all_0_58_58 = e4
% 44.04/14.00  														|
% 44.04/14.00  														| Instantiating formula (262) with e0, e2, e2, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = e2, yields:
% 44.04/14.00  														| (5799) all_0_59_59 = e2
% 44.04/14.00  														|
% 44.04/14.00  														| From (5799) and (8076) follows:
% 44.04/14.00  														| (8077) op(e0, e2) = e2
% 44.04/14.00  														|
% 44.04/14.00  														+-Applying beta-rule and splitting (127), into two cases.
% 44.04/14.00  														|-Branch one:
% 44.04/14.00  														| (457) all_0_79_79 = e1
% 44.04/14.00  														|
% 44.04/14.00  															| Equations (457) can reduce 63 to:
% 44.04/14.00  															| (1665)  ~ (all_0_80_80 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Simplifying 1665 yields:
% 44.04/14.00  															| (828)  ~ (all_0_80_80 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Equations (457) can reduce 272 to:
% 44.04/14.00  															| (11487)  ~ (all_0_83_83 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Simplifying 11487 yields:
% 44.04/14.00  															| (113)  ~ (all_0_83_83 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Equations (457) can reduce 17 to:
% 44.04/14.00  															| (1669)  ~ (all_0_91_91 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Simplifying 1669 yields:
% 44.04/14.00  															| (959)  ~ (all_0_91_91 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Equations (457) can reduce 1622 to:
% 44.04/14.00  															| (487)  ~ (e2 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| Simplifying 487 yields:
% 44.04/14.00  															| (243)  ~ (e2 = e1)
% 44.04/14.00  															|
% 44.04/14.00  															| From (457) and (184) follows:
% 44.04/14.00  															| (1679) op(e2, e1) = all_0_52_52
% 44.04/14.00  															|
% 44.04/14.00  															| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 44.04/14.01  															| (10960) all_0_52_52 = e2
% 44.04/14.01  															|
% 44.04/14.01  															+-Applying beta-rule and splitting (219), into two cases.
% 44.04/14.01  															|-Branch one:
% 44.04/14.01  															| (798) all_0_83_83 = e0
% 44.04/14.01  															|
% 44.04/14.01  																| Equations (798) can reduce 116 to:
% 44.04/14.01  																| (914)  ~ (all_0_82_82 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Equations (798) can reduce 223 to:
% 44.04/14.01  																| (2207)  ~ (all_0_84_84 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Simplifying 2207 yields:
% 44.04/14.01  																| (919)  ~ (all_0_84_84 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Equations (798) can reduce 226 to:
% 44.04/14.01  																| (799)  ~ (all_0_85_85 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Simplifying 799 yields:
% 44.04/14.01  																| (800)  ~ (all_0_85_85 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Equations (798) can reduce 146 to:
% 44.04/14.01  																| (1830)  ~ (all_0_91_91 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| Simplifying 1830 yields:
% 44.04/14.01  																| (1487)  ~ (all_0_91_91 = e0)
% 44.04/14.01  																|
% 44.04/14.01  																| From (798) and (163) follows:
% 44.04/14.01  																| (1036) op(e3, e0) = all_0_55_55
% 44.04/14.01  																|
% 44.04/14.01  																+-Applying beta-rule and splitting (285), into two cases.
% 44.04/14.01  																|-Branch one:
% 44.04/14.01  																| (1708) all_0_79_79 = e3
% 44.04/14.01  																|
% 44.04/14.01  																	| Combining equations (457,1708) yields a new equation:
% 44.04/14.01  																	| (772) e3 = e1
% 44.04/14.01  																	|
% 44.04/14.01  																	| Equations (772) can reduce 20 to:
% 44.04/14.01  																	| (311) $false
% 44.04/14.01  																	|
% 44.04/14.01  																	|-The branch is then unsatisfiable
% 44.04/14.01  																|-Branch two:
% 44.04/14.01  																| (1711)  ~ (all_0_79_79 = e3)
% 44.04/14.01  																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.04/14.01  																|
% 44.04/14.01  																	+-Applying beta-rule and splitting (1712), into two cases.
% 44.04/14.01  																	|-Branch one:
% 44.04/14.01  																	| (795) all_0_83_83 = e3
% 44.04/14.01  																	|
% 44.04/14.01  																		| Combining equations (798,795) yields a new equation:
% 44.04/14.01  																		| (600) e3 = e0
% 44.04/14.01  																		|
% 44.04/14.01  																		| Equations (600) can reduce 50 to:
% 44.04/14.01  																		| (311) $false
% 44.04/14.01  																		|
% 44.04/14.01  																		|-The branch is then unsatisfiable
% 44.04/14.01  																	|-Branch two:
% 44.04/14.01  																	| (779)  ~ (all_0_83_83 = e3)
% 44.04/14.01  																	| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.04/14.01  																	|
% 44.04/14.01  																		+-Applying beta-rule and splitting (284), into two cases.
% 44.04/14.01  																		|-Branch one:
% 44.04/14.01  																		| (1723) all_0_91_91 = e2
% 44.04/14.01  																		|
% 44.04/14.01  																			| Equations (1723) can reduce 296 to:
% 44.04/14.01  																			| (311) $false
% 44.04/14.01  																			|
% 44.04/14.01  																			|-The branch is then unsatisfiable
% 44.04/14.01  																		|-Branch two:
% 44.04/14.01  																		| (296)  ~ (all_0_91_91 = e2)
% 44.04/14.01  																		| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.04/14.01  																		|
% 44.04/14.01  																			+-Applying beta-rule and splitting (1842), into two cases.
% 44.04/14.01  																			|-Branch one:
% 44.04/14.01  																			| (588) all_0_91_91 = e3
% 44.04/14.01  																			|
% 44.04/14.01  																				| Equations (588) can reduce 103 to:
% 44.04/14.01  																				| (745)  ~ (all_0_90_90 = e3)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Equations (588) can reduce 44 to:
% 44.04/14.01  																				| (807)  ~ (all_0_93_93 = e3)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Simplifying 807 yields:
% 44.04/14.01  																				| (602)  ~ (all_0_93_93 = e3)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Equations (588) can reduce 133 to:
% 44.04/14.01  																				| (783)  ~ (e4 = e3)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Simplifying 783 yields:
% 44.04/14.01  																				| (177)  ~ (e4 = e3)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Equations (588) can reduce 296 to:
% 44.04/14.01  																				| (169)  ~ (e3 = e2)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Equations (588) can reduce 959 to:
% 44.04/14.01  																				| (20)  ~ (e3 = e1)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Equations (588) can reduce 1487 to:
% 44.04/14.01  																				| (50)  ~ (e3 = e0)
% 44.04/14.01  																				|
% 44.04/14.01  																				| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_85_85 and discharging atoms op(e3, e0) = all_0_55_55, op(e3, e0) = all_0_85_85, yields:
% 44.04/14.01  																				| (17466) all_0_55_55 = all_0_85_85
% 44.04/14.01  																				|
% 44.04/14.01  																				| From (17466) and (1036) follows:
% 44.04/14.01  																				| (8) op(e3, e0) = all_0_85_85
% 44.04/14.01  																				|
% 44.04/14.01  																				+-Applying beta-rule and splitting (101), into two cases.
% 44.04/14.01  																				|-Branch one:
% 44.04/14.01  																				| (400) all_0_78_78 = e2
% 44.04/14.01  																				|
% 44.04/14.01  																					| Equations (400) can reduce 67 to:
% 44.04/14.01  																					| (393)  ~ (all_0_80_80 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Simplifying 393 yields:
% 44.04/14.01  																					| (394)  ~ (all_0_80_80 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Equations (400) can reduce 193 to:
% 44.04/14.01  																					| (9974)  ~ (all_0_82_82 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Simplifying 9974 yields:
% 44.04/14.01  																					| (347)  ~ (all_0_82_82 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Equations (400) can reduce 85 to:
% 44.04/14.01  																					| (293)  ~ (all_0_90_90 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Simplifying 293 yields:
% 44.04/14.01  																					| (294)  ~ (all_0_90_90 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Equations (400) can reduce 125 to:
% 44.04/14.01  																					| (354)  ~ (all_0_95_95 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Simplifying 354 yields:
% 44.04/14.01  																					| (355)  ~ (all_0_95_95 = e2)
% 44.04/14.01  																					|
% 44.04/14.01  																					| Equations (400) can reduce 86 to:
% 44.04/14.01  																					| (76)  ~ (e2 = e0)
% 44.04/14.01  																					|
% 44.04/14.01  																					+-Applying beta-rule and splitting (41), into two cases.
% 44.04/14.01  																					|-Branch one:
% 44.04/14.01  																					| (530) all_0_82_82 = e2
% 44.04/14.01  																					|
% 44.04/14.01  																						| Equations (530) can reduce 347 to:
% 44.04/14.01  																						| (311) $false
% 44.04/14.01  																						|
% 44.04/14.01  																						|-The branch is then unsatisfiable
% 44.04/14.01  																					|-Branch two:
% 44.04/14.01  																					| (347)  ~ (all_0_82_82 = e2)
% 44.04/14.01  																					| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 44.04/14.01  																					|
% 44.04/14.01  																						+-Applying beta-rule and splitting (533), into two cases.
% 44.04/14.01  																						|-Branch one:
% 44.04/14.01  																						| (453) all_0_83_83 = e2
% 44.04/14.01  																						|
% 44.04/14.01  																							| Combining equations (798,453) yields a new equation:
% 44.04/14.01  																							| (379) e2 = e0
% 44.04/14.01  																							|
% 44.04/14.01  																							| Equations (379) can reduce 76 to:
% 44.04/14.01  																							| (311) $false
% 44.04/14.01  																							|
% 44.04/14.01  																							|-The branch is then unsatisfiable
% 44.04/14.01  																						|-Branch two:
% 44.04/14.01  																						| (398)  ~ (all_0_83_83 = e2)
% 44.04/14.01  																						| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 44.04/14.01  																						|
% 44.04/14.01  																							+-Applying beta-rule and splitting (537), into two cases.
% 44.04/14.01  																							|-Branch one:
% 44.04/14.01  																							| (552) all_0_84_84 = e2
% 44.04/14.01  																							|
% 44.04/14.01  																								| Equations (552) can reduce 612 to:
% 44.04/14.01  																								| (311) $false
% 44.04/14.01  																								|
% 44.04/14.01  																								|-The branch is then unsatisfiable
% 44.04/14.01  																							|-Branch two:
% 44.04/14.01  																							| (612)  ~ (all_0_84_84 = e2)
% 44.04/14.01  																							| (512) all_0_85_85 = e2
% 44.04/14.01  																							|
% 44.04/14.01  																								| Equations (512) can reduce 118 to:
% 44.04/14.01  																								| (396)  ~ (all_0_81_81 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Equations (512) can reduce 154 to:
% 44.04/14.01  																								| (612)  ~ (all_0_84_84 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Equations (512) can reduce 201 to:
% 44.04/14.01  																								| (299)  ~ (all_0_93_93 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Simplifying 299 yields:
% 44.04/14.01  																								| (300)  ~ (all_0_93_93 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Equations (512) can reduce 75 to:
% 44.04/14.01  																								| (1348)  ~ (all_0_98_98 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Simplifying 1348 yields:
% 44.04/14.01  																								| (1349)  ~ (all_0_98_98 = e2)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Equations (512) can reduce 128 to:
% 44.04/14.01  																								| (243)  ~ (e2 = e1)
% 44.04/14.01  																								|
% 44.04/14.01  																								| Equations (512) can reduce 800 to:
% 44.04/14.01  																								| (76)  ~ (e2 = e0)
% 44.04/14.01  																								|
% 44.04/14.01  																								| From (512) and (26) follows:
% 44.04/14.01  																								| (1290) op(e0, e2) = all_0_71_71
% 44.04/14.01  																								|
% 44.04/14.01  																								| Instantiating formula (262) with e0, e2, all_0_71_71, e2 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = e2, yields:
% 44.04/14.01  																								| (2601) all_0_71_71 = e2
% 44.04/14.01  																								|
% 44.04/14.01  																								+-Applying beta-rule and splitting (56), into two cases.
% 44.04/14.01  																								|-Branch one:
% 44.04/14.01  																								| (463) all_0_78_78 = e4
% 44.04/14.01  																								|
% 44.04/14.01  																									| Combining equations (400,463) yields a new equation:
% 44.04/14.01  																									| (310) e4 = e2
% 44.04/14.01  																									|
% 44.04/14.01  																									| Equations (310) can reduce 79 to:
% 44.04/14.01  																									| (311) $false
% 44.04/14.01  																									|
% 44.04/14.01  																									|-The branch is then unsatisfiable
% 44.04/14.01  																								|-Branch two:
% 44.04/14.01  																								| (640)  ~ (all_0_78_78 = e4)
% 44.04/14.01  																								| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.04/14.01  																								|
% 44.04/14.01  																									| Equations (400) can reduce 640 to:
% 44.04/14.01  																									| (528)  ~ (e4 = e2)
% 44.04/14.01  																									|
% 44.04/14.01  																									| Simplifying 528 yields:
% 44.04/14.01  																									| (79)  ~ (e4 = e2)
% 44.04/14.01  																									|
% 44.04/14.01  																									+-Applying beta-rule and splitting (109), into two cases.
% 44.04/14.01  																									|-Branch one:
% 44.04/14.01  																									| (469) all_0_82_82 = e4
% 44.04/14.01  																									|
% 44.04/14.01  																										| Equations (469) can reduce 255 to:
% 44.04/14.01  																										| (466)  ~ (all_0_90_90 = e4)
% 44.04/14.01  																										|
% 44.04/14.01  																										| Simplifying 466 yields:
% 44.04/14.01  																										| (467)  ~ (all_0_90_90 = e4)
% 44.04/14.01  																										|
% 44.04/14.01  																										+-Applying beta-rule and splitting (171), into two cases.
% 44.04/14.01  																										|-Branch one:
% 44.04/14.01  																										| (789) all_0_82_82 = e3
% 44.04/14.01  																										|
% 44.04/14.01  																											| Combining equations (469,789) yields a new equation:
% 44.04/14.01  																											| (790) e4 = e3
% 44.04/14.01  																											|
% 44.04/14.01  																											| Simplifying 790 yields:
% 44.04/14.01  																											| (434) e4 = e3
% 44.04/14.01  																											|
% 44.04/14.01  																											| Equations (434) can reduce 177 to:
% 44.04/14.01  																											| (311) $false
% 44.04/14.01  																											|
% 44.04/14.01  																											|-The branch is then unsatisfiable
% 44.04/14.01  																										|-Branch two:
% 44.04/14.01  																										| (793)  ~ (all_0_82_82 = e3)
% 44.04/14.01  																										| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.04/14.01  																										|
% 44.04/14.01  																											+-Applying beta-rule and splitting (1296), into two cases.
% 44.04/14.01  																											|-Branch one:
% 44.04/14.01  																											| (795) all_0_83_83 = e3
% 44.04/14.01  																											|
% 44.04/14.01  																												| Combining equations (798,795) yields a new equation:
% 44.04/14.01  																												| (600) e3 = e0
% 44.04/14.01  																												|
% 44.04/14.01  																												| Equations (600) can reduce 50 to:
% 44.04/14.01  																												| (311) $false
% 44.04/14.01  																												|
% 44.04/14.01  																												|-The branch is then unsatisfiable
% 44.04/14.01  																											|-Branch two:
% 44.04/14.01  																											| (779)  ~ (all_0_83_83 = e3)
% 44.04/14.01  																											| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.04/14.01  																											|
% 44.04/14.01  																												+-Applying beta-rule and splitting (1594), into two cases.
% 44.04/14.01  																												|-Branch one:
% 44.04/14.01  																												| (1265) all_0_84_84 = e3
% 44.04/14.01  																												|
% 44.04/14.01  																													| Equations (1265) can reduce 273 to:
% 44.04/14.01  																													| (2347)  ~ (all_0_80_80 = e3)
% 44.04/14.01  																													|
% 44.04/14.01  																													| Equations (1265) can reduce 87 to:
% 44.04/14.01  																													| (425)  ~ (all_0_92_92 = e3)
% 44.04/14.01  																													|
% 44.04/14.01  																													| Simplifying 425 yields:
% 44.04/14.01  																													| (426)  ~ (all_0_92_92 = e3)
% 44.04/14.01  																													|
% 44.04/14.01  																													| Equations (1265) can reduce 612 to:
% 44.04/14.01  																													| (169)  ~ (e3 = e2)
% 44.04/14.01  																													|
% 44.04/14.01  																													+-Applying beta-rule and splitting (106), into two cases.
% 44.04/14.01  																													|-Branch one:
% 44.04/14.01  																													| (771) all_0_78_78 = e3
% 44.04/14.01  																													|
% 44.04/14.01  																														| Combining equations (400,771) yields a new equation:
% 44.04/14.01  																														| (548) e3 = e2
% 44.04/14.01  																														|
% 44.04/14.01  																														| Equations (548) can reduce 169 to:
% 44.04/14.01  																														| (311) $false
% 44.04/14.01  																														|
% 44.04/14.01  																														|-The branch is then unsatisfiable
% 44.04/14.01  																													|-Branch two:
% 44.04/14.01  																													| (418)  ~ (all_0_78_78 = e3)
% 44.04/14.01  																													| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.04/14.01  																													|
% 44.04/14.01  																														| Equations (400) can reduce 418 to:
% 44.04/14.01  																														| (356)  ~ (e3 = e2)
% 44.04/14.01  																														|
% 44.04/14.01  																														| Simplifying 356 yields:
% 44.04/14.01  																														| (169)  ~ (e3 = e2)
% 44.04/14.01  																														|
% 44.04/14.01  																														+-Applying beta-rule and splitting (45), into two cases.
% 44.04/14.01  																														|-Branch one:
% 44.04/14.01  																														| (546) all_0_80_80 = e2
% 44.04/14.01  																														|
% 44.04/14.01  																															| Equations (546) can reduce 394 to:
% 44.04/14.01  																															| (311) $false
% 44.04/14.01  																															|
% 44.04/14.01  																															|-The branch is then unsatisfiable
% 44.04/14.01  																														|-Branch two:
% 44.04/14.01  																														| (394)  ~ (all_0_80_80 = e2)
% 44.04/14.01  																														| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.04/14.01  																														|
% 44.04/14.01  																															+-Applying beta-rule and splitting (3232), into two cases.
% 44.04/14.01  																															|-Branch one:
% 44.04/14.01  																															| (824) all_0_80_80 = e1
% 44.04/14.01  																															|
% 44.04/14.01  																																| Equations (824) can reduce 828 to:
% 44.04/14.01  																																| (311) $false
% 44.04/14.01  																																|
% 44.04/14.01  																																|-The branch is then unsatisfiable
% 44.04/14.01  																															|-Branch two:
% 44.04/14.01  																															| (828)  ~ (all_0_80_80 = e1)
% 44.04/14.01  																															| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.04/14.01  																															|
% 44.04/14.01  																																+-Applying beta-rule and splitting (27), into two cases.
% 44.04/14.01  																																|-Branch one:
% 44.04/14.01  																																| (746) all_0_90_90 = e2
% 44.04/14.01  																																|
% 44.04/14.01  																																	| Equations (746) can reduce 294 to:
% 44.04/14.01  																																	| (311) $false
% 44.04/14.01  																																	|
% 44.04/14.01  																																	|-The branch is then unsatisfiable
% 44.04/14.01  																																|-Branch two:
% 44.04/14.01  																																| (294)  ~ (all_0_90_90 = e2)
% 44.04/14.01  																																| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 44.04/14.01  																																|
% 44.04/14.01  																																	+-Applying beta-rule and splitting (220), into two cases.
% 44.04/14.01  																																	|-Branch one:
% 44.04/14.01  																																	| (771) all_0_78_78 = e3
% 44.04/14.01  																																	|
% 44.04/14.01  																																		| Combining equations (400,771) yields a new equation:
% 44.04/14.01  																																		| (548) e3 = e2
% 44.04/14.01  																																		|
% 44.04/14.01  																																		| Equations (548) can reduce 169 to:
% 44.04/14.01  																																		| (311) $false
% 44.04/14.01  																																		|
% 44.04/14.01  																																		|-The branch is then unsatisfiable
% 44.04/14.01  																																	|-Branch two:
% 44.04/14.01  																																	| (418)  ~ (all_0_78_78 = e3)
% 44.04/14.01  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.04/14.01  																																	|
% 44.04/14.01  																																		+-Applying beta-rule and splitting (749), into two cases.
% 44.04/14.01  																																		|-Branch one:
% 44.04/14.01  																																		| (750) all_0_90_90 = e1
% 44.04/14.01  																																		|
% 44.04/14.01  																																			| Equations (750) can reduce 678 to:
% 44.04/14.01  																																			| (311) $false
% 44.04/14.01  																																			|
% 44.04/14.01  																																			|-The branch is then unsatisfiable
% 44.04/14.01  																																		|-Branch two:
% 44.04/14.01  																																		| (678)  ~ (all_0_90_90 = e1)
% 44.04/14.01  																																		| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 44.04/14.01  																																		|
% 44.04/14.01  																																			+-Applying beta-rule and splitting (4018), into two cases.
% 44.04/14.01  																																			|-Branch one:
% 44.04/14.01  																																			| (416) all_0_80_80 = e3
% 44.04/14.01  																																			|
% 44.04/14.01  																																				| Equations (416) can reduce 2347 to:
% 44.04/14.01  																																				| (311) $false
% 44.04/14.01  																																				|
% 44.04/14.01  																																				|-The branch is then unsatisfiable
% 44.04/14.01  																																			|-Branch two:
% 44.04/14.01  																																			| (2347)  ~ (all_0_80_80 = e3)
% 44.04/14.01  																																			| (433) all_0_80_80 = e4
% 44.04/14.01  																																			|
% 44.04/14.01  																																				| Equations (433) can reduce 144 to:
% 44.04/14.01  																																				| (1730)  ~ (all_0_81_81 = e4)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				| Simplifying 1730 yields:
% 44.04/14.01  																																				| (634)  ~ (all_0_81_81 = e4)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				| Equations (433) can reduce 49 to:
% 44.04/14.01  																																				| (1906)  ~ (all_0_92_92 = e4)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				| Simplifying 1906 yields:
% 44.04/14.01  																																				| (1619)  ~ (all_0_92_92 = e4)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				| Equations (433) can reduce 2347 to:
% 44.04/14.01  																																				| (177)  ~ (e4 = e3)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				| Equations (433) can reduce 394 to:
% 44.04/14.01  																																				| (79)  ~ (e4 = e2)
% 44.04/14.01  																																				|
% 44.04/14.01  																																				+-Applying beta-rule and splitting (46), into two cases.
% 44.04/14.01  																																				|-Branch one:
% 44.04/14.01  																																				| (308) all_0_89_89 = e4
% 44.04/14.01  																																				|
% 44.04/14.01  																																					| Combining equations (308,292) yields a new equation:
% 44.04/14.01  																																					| (309) e4 = e2
% 44.04/14.01  																																					|
% 44.04/14.01  																																					| Simplifying 309 yields:
% 44.04/14.01  																																					| (310) e4 = e2
% 44.04/14.01  																																					|
% 44.04/14.01  																																					| Equations (310) can reduce 79 to:
% 44.04/14.01  																																					| (311) $false
% 44.04/14.01  																																					|
% 44.04/14.01  																																					|-The branch is then unsatisfiable
% 44.04/14.01  																																				|-Branch two:
% 44.04/14.01  																																				| (312)  ~ (all_0_89_89 = e4)
% 44.04/14.01  																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.04/14.01  																																				|
% 44.04/14.01  																																					| Equations (292) can reduce 312 to:
% 44.04/14.01  																																					| (528)  ~ (e4 = e2)
% 44.04/14.01  																																					|
% 44.04/14.01  																																					| Simplifying 528 yields:
% 44.04/14.01  																																					| (79)  ~ (e4 = e2)
% 44.04/14.01  																																					|
% 44.04/14.01  																																					+-Applying beta-rule and splitting (753), into two cases.
% 44.04/14.01  																																					|-Branch one:
% 44.04/14.01  																																					| (754) all_0_90_90 = e3
% 44.04/14.01  																																					|
% 44.04/14.01  																																						| Equations (754) can reduce 745 to:
% 44.04/14.01  																																						| (311) $false
% 44.04/14.01  																																						|
% 44.04/14.01  																																						|-The branch is then unsatisfiable
% 44.04/14.01  																																					|-Branch two:
% 44.04/14.01  																																					| (745)  ~ (all_0_90_90 = e3)
% 44.04/14.01  																																					| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 44.04/14.01  																																					|
% 44.04/14.01  																																						+-Applying beta-rule and splitting (757), into two cases.
% 44.04/14.01  																																						|-Branch one:
% 44.04/14.01  																																						| (758) all_0_90_90 = e0
% 44.04/14.01  																																						|
% 44.04/14.01  																																							| Equations (758) can reduce 72 to:
% 44.04/14.01  																																							| (2299)  ~ (all_0_92_92 = e0)
% 44.04/14.01  																																							|
% 44.04/14.01  																																							| Simplifying 2299 yields:
% 44.04/14.01  																																							| (946)  ~ (all_0_92_92 = e0)
% 44.04/14.01  																																							|
% 44.04/14.02  																																							| Equations (758) can reduce 745 to:
% 44.04/14.02  																																							| (906)  ~ (e3 = e0)
% 44.04/14.02  																																							|
% 44.04/14.02  																																							| Simplifying 906 yields:
% 44.04/14.02  																																							| (50)  ~ (e3 = e0)
% 44.04/14.02  																																							|
% 44.04/14.02  																																							| Equations (758) can reduce 294 to:
% 44.04/14.02  																																							| (510)  ~ (e2 = e0)
% 44.04/14.02  																																							|
% 44.04/14.02  																																							| Simplifying 510 yields:
% 44.04/14.02  																																							| (76)  ~ (e2 = e0)
% 44.04/14.02  																																							|
% 44.04/14.02  																																							+-Applying beta-rule and splitting (775), into two cases.
% 44.04/14.02  																																							|-Branch one:
% 44.04/14.02  																																							| (789) all_0_82_82 = e3
% 44.04/14.02  																																							|
% 44.04/14.02  																																								| Combining equations (469,789) yields a new equation:
% 44.04/14.02  																																								| (790) e4 = e3
% 44.04/14.02  																																								|
% 44.04/14.02  																																								| Simplifying 790 yields:
% 44.04/14.02  																																								| (434) e4 = e3
% 44.04/14.02  																																								|
% 44.04/14.02  																																								| Equations (434) can reduce 177 to:
% 44.04/14.02  																																								| (311) $false
% 44.04/14.02  																																								|
% 44.04/14.02  																																								|-The branch is then unsatisfiable
% 44.04/14.02  																																							|-Branch two:
% 44.04/14.02  																																							| (793)  ~ (all_0_82_82 = e3)
% 44.04/14.02  																																							| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.04/14.02  																																							|
% 44.04/14.02  																																								+-Applying beta-rule and splitting (123), into two cases.
% 44.04/14.02  																																								|-Branch one:
% 44.04/14.02  																																								| (473) all_0_81_81 = e2
% 44.04/14.02  																																								|
% 44.04/14.02  																																									| Equations (473) can reduce 396 to:
% 44.04/14.02  																																									| (311) $false
% 44.04/14.02  																																									|
% 44.04/14.02  																																									|-The branch is then unsatisfiable
% 44.04/14.02  																																								|-Branch two:
% 44.04/14.02  																																								| (396)  ~ (all_0_81_81 = e2)
% 44.04/14.02  																																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.04/14.02  																																								|
% 44.04/14.02  																																									+-Applying beta-rule and splitting (2), into two cases.
% 44.04/14.02  																																									|-Branch one:
% 44.04/14.02  																																									| (916) all_0_84_84 = e0
% 44.04/14.02  																																									|
% 44.04/14.02  																																										| Combining equations (1265,916) yields a new equation:
% 44.04/14.02  																																										| (599) e3 = e0
% 44.04/14.02  																																										|
% 44.04/14.02  																																										| Simplifying 599 yields:
% 44.04/14.02  																																										| (600) e3 = e0
% 44.04/14.02  																																										|
% 44.04/14.02  																																										| Equations (600) can reduce 50 to:
% 44.04/14.02  																																										| (311) $false
% 44.04/14.02  																																										|
% 44.04/14.02  																																										|-The branch is then unsatisfiable
% 44.04/14.02  																																									|-Branch two:
% 44.04/14.02  																																									| (919)  ~ (all_0_84_84 = e0)
% 44.04/14.02  																																									| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 44.04/14.02  																																									|
% 44.04/14.02  																																										| Equations (1265) can reduce 919 to:
% 44.04/14.02  																																										| (50)  ~ (e3 = e0)
% 44.04/14.02  																																										|
% 44.04/14.02  																																										+-Applying beta-rule and splitting (794), into two cases.
% 44.04/14.02  																																										|-Branch one:
% 44.04/14.02  																																										| (754) all_0_90_90 = e3
% 44.04/14.02  																																										|
% 44.04/14.02  																																											| Combining equations (754,758) yields a new equation:
% 44.04/14.02  																																											| (599) e3 = e0
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| Simplifying 599 yields:
% 44.04/14.02  																																											| (600) e3 = e0
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| Equations (600) can reduce 50 to:
% 44.04/14.02  																																											| (311) $false
% 44.04/14.02  																																											|
% 44.04/14.02  																																											|-The branch is then unsatisfiable
% 44.04/14.02  																																										|-Branch two:
% 44.04/14.02  																																										| (745)  ~ (all_0_90_90 = e3)
% 44.04/14.02  																																										| (744) all_0_95_95 = e3
% 44.04/14.02  																																										|
% 44.04/14.02  																																											| Equations (744) can reduce 107 to:
% 44.04/14.02  																																											| (1518)  ~ (all_0_98_98 = e3)
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| Simplifying 1518 yields:
% 44.04/14.02  																																											| (1519)  ~ (all_0_98_98 = e3)
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| Equations (744) can reduce 355 to:
% 44.04/14.02  																																											| (169)  ~ (e3 = e2)
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| From (744) and (280) follows:
% 44.04/14.02  																																											| (1521) op(e0, e3) = all_0_51_51
% 44.04/14.02  																																											|
% 44.04/14.02  																																											| From (744) and (275) follows:
% 44.04/14.02  																																											| (1522) op(e0, e3) = e3
% 44.04/14.02  																																											|
% 44.04/14.02  																																											+-Applying beta-rule and splitting (920), into two cases.
% 44.04/14.02  																																											|-Branch one:
% 44.04/14.02  																																											| (861) all_0_87_87 = e0
% 44.04/14.02  																																											|
% 44.04/14.02  																																												| Combining equations (374,861) yields a new equation:
% 44.04/14.02  																																												| (923) e2 = e0
% 44.04/14.02  																																												|
% 44.04/14.02  																																												| Simplifying 923 yields:
% 44.04/14.02  																																												| (379) e2 = e0
% 44.04/14.02  																																												|
% 44.04/14.02  																																												| Equations (379) can reduce 76 to:
% 44.04/14.02  																																												| (311) $false
% 44.04/14.02  																																												|
% 44.04/14.02  																																												|-The branch is then unsatisfiable
% 44.04/14.02  																																											|-Branch two:
% 44.04/14.02  																																											| (889)  ~ (all_0_87_87 = e0)
% 44.04/14.02  																																											| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 44.04/14.02  																																											|
% 44.04/14.02  																																												+-Applying beta-rule and splitting (250), into two cases.
% 44.04/14.02  																																												|-Branch one:
% 44.04/14.02  																																												| (635) all_0_81_81 = e3
% 44.04/14.02  																																												|
% 44.04/14.02  																																													| Equations (635) can reduce 277 to:
% 44.04/14.02  																																													| (807)  ~ (all_0_93_93 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Simplifying 807 yields:
% 44.04/14.02  																																													| (602)  ~ (all_0_93_93 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Equations (635) can reduce 5 to:
% 44.04/14.02  																																													| (1518)  ~ (all_0_98_98 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Simplifying 1518 yields:
% 44.04/14.02  																																													| (1519)  ~ (all_0_98_98 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Equations (635) can reduce 634 to:
% 44.04/14.02  																																													| (783)  ~ (e4 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Simplifying 783 yields:
% 44.04/14.02  																																													| (177)  ~ (e4 = e3)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| Equations (635) can reduce 396 to:
% 44.04/14.02  																																													| (169)  ~ (e3 = e2)
% 44.04/14.02  																																													|
% 44.04/14.02  																																													| From (635) and (145) follows:
% 44.04/14.02  																																													| (2368) op(e0, e3) = all_0_69_69
% 44.04/14.02  																																													|
% 44.04/14.02  																																													+-Applying beta-rule and splitting (48), into two cases.
% 44.04/14.02  																																													|-Branch one:
% 44.04/14.02  																																													| (525) all_0_98_98 = e2
% 44.04/14.02  																																													|
% 44.04/14.02  																																														| Equations (525) can reduce 1349 to:
% 44.04/14.02  																																														| (311) $false
% 44.04/14.02  																																														|
% 44.04/14.02  																																														|-The branch is then unsatisfiable
% 44.04/14.02  																																													|-Branch two:
% 44.04/14.02  																																													| (1349)  ~ (all_0_98_98 = e2)
% 44.04/14.02  																																													| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.04/14.02  																																													|
% 44.04/14.02  																																														+-Applying beta-rule and splitting (931), into two cases.
% 44.04/14.02  																																														|-Branch one:
% 44.04/14.02  																																														| (942) all_0_92_92 = e0
% 44.04/14.02  																																														|
% 44.04/14.02  																																															| Equations (942) can reduce 946 to:
% 44.04/14.02  																																															| (311) $false
% 44.04/14.02  																																															|
% 44.04/14.02  																																															|-The branch is then unsatisfiable
% 44.04/14.02  																																														|-Branch two:
% 44.04/14.02  																																														| (946)  ~ (all_0_92_92 = e0)
% 44.04/14.02  																																														| (560) all_0_97_97 = e0
% 44.04/14.02  																																														|
% 44.04/14.02  																																															| Equations (560) can reduce 258 to:
% 44.04/14.02  																																															| (946)  ~ (all_0_92_92 = e0)
% 44.04/14.02  																																															|
% 44.04/14.02  																																															| Equations (560) can reduce 148 to:
% 44.04/14.02  																																															| (2058)  ~ (all_0_98_98 = e0)
% 44.04/14.02  																																															|
% 44.04/14.02  																																															| Simplifying 2058 yields:
% 44.04/14.02  																																															| (2059)  ~ (all_0_98_98 = e0)
% 44.04/14.02  																																															|
% 44.04/14.02  																																															+-Applying beta-rule and splitting (5118), into two cases.
% 44.04/14.02  																																															|-Branch one:
% 44.04/14.02  																																															| (1543) all_0_98_98 = e1
% 44.04/14.02  																																															|
% 44.04/14.02  																																																| Combining equations (1543,1370) yields a new equation:
% 44.04/14.02  																																																| (2602) all_0_73_73 = e1
% 44.04/14.02  																																																|
% 44.04/14.02  																																																+-Applying beta-rule and splitting (119), into two cases.
% 44.04/14.02  																																																|-Branch one:
% 44.04/14.02  																																																| (1343) all_0_92_92 = e2
% 44.04/14.02  																																																|
% 44.04/14.02  																																																	| Equations (1343) can reduce 298 to:
% 44.04/14.02  																																																	| (311) $false
% 44.04/14.02  																																																	|
% 44.04/14.02  																																																	|-The branch is then unsatisfiable
% 44.04/14.02  																																																|-Branch two:
% 44.04/14.02  																																																| (298)  ~ (all_0_92_92 = e2)
% 44.04/14.02  																																																| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.04/14.02  																																																|
% 44.04/14.02  																																																	+-Applying beta-rule and splitting (3735), into two cases.
% 44.04/14.02  																																																	|-Branch one:
% 44.04/14.02  																																																	| (836) all_0_92_92 = e1
% 44.04/14.02  																																																	|
% 44.04/14.02  																																																		| Equations (836) can reduce 283 to:
% 44.04/14.02  																																																		| (480)  ~ (all_0_93_93 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		| Simplifying 480 yields:
% 44.04/14.02  																																																		| (481)  ~ (all_0_93_93 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		| Equations (836) can reduce 1619 to:
% 44.04/14.02  																																																		| (681)  ~ (e4 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		| Simplifying 681 yields:
% 44.04/14.02  																																																		| (256)  ~ (e4 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		| Equations (836) can reduce 298 to:
% 44.04/14.02  																																																		| (487)  ~ (e2 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		| Simplifying 487 yields:
% 44.04/14.02  																																																		| (243)  ~ (e2 = e1)
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																		+-Applying beta-rule and splitting (168), into two cases.
% 44.04/14.02  																																																		|-Branch one:
% 44.04/14.02  																																																		| (638) all_0_81_81 = e4
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																			| Combining equations (638,635) yields a new equation:
% 44.04/14.02  																																																			| (790) e4 = e3
% 44.04/14.02  																																																			|
% 44.04/14.02  																																																			| Simplifying 790 yields:
% 44.04/14.02  																																																			| (434) e4 = e3
% 44.04/14.02  																																																			|
% 44.04/14.02  																																																			| Equations (434) can reduce 177 to:
% 44.04/14.02  																																																			| (311) $false
% 44.04/14.02  																																																			|
% 44.04/14.02  																																																			|-The branch is then unsatisfiable
% 44.04/14.02  																																																		|-Branch two:
% 44.04/14.02  																																																		| (634)  ~ (all_0_81_81 = e4)
% 44.04/14.02  																																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.04/14.02  																																																		|
% 44.04/14.02  																																																			+-Applying beta-rule and splitting (65), into two cases.
% 44.04/14.02  																																																			|-Branch one:
% 44.04/14.02  																																																			| (522) all_0_93_93 = e2
% 44.04/14.02  																																																			|
% 44.04/14.02  																																																				| Equations (522) can reduce 300 to:
% 44.04/14.02  																																																				| (311) $false
% 44.04/14.02  																																																				|
% 44.04/14.02  																																																				|-The branch is then unsatisfiable
% 44.04/14.02  																																																			|-Branch two:
% 44.04/14.02  																																																			| (300)  ~ (all_0_93_93 = e2)
% 44.04/14.02  																																																			| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.04/14.02  																																																			|
% 44.04/14.02  																																																				+-Applying beta-rule and splitting (565), into two cases.
% 44.04/14.02  																																																				|-Branch one:
% 44.04/14.02  																																																				| (566) all_0_93_93 = e1
% 44.04/14.02  																																																				|
% 44.04/14.02  																																																					| Equations (566) can reduce 481 to:
% 44.04/14.02  																																																					| (311) $false
% 44.04/14.02  																																																					|
% 44.04/14.02  																																																					|-The branch is then unsatisfiable
% 44.04/14.02  																																																				|-Branch two:
% 44.04/14.02  																																																				| (481)  ~ (all_0_93_93 = e1)
% 44.04/14.02  																																																				| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.04/14.02  																																																				|
% 44.04/14.02  																																																					+-Applying beta-rule and splitting (2559), into two cases.
% 44.04/14.02  																																																					|-Branch one:
% 44.04/14.02  																																																					| (493) all_0_85_85 = e4
% 44.04/14.02  																																																					|
% 44.04/14.02  																																																						| Combining equations (512,493) yields a new equation:
% 44.04/14.02  																																																						| (310) e4 = e2
% 44.04/14.02  																																																						|
% 44.04/14.02  																																																						| Equations (310) can reduce 79 to:
% 44.04/14.02  																																																						| (311) $false
% 44.04/14.02  																																																						|
% 44.04/14.02  																																																						|-The branch is then unsatisfiable
% 44.04/14.02  																																																					|-Branch two:
% 44.04/14.02  																																																					| (648)  ~ (all_0_85_85 = e4)
% 44.04/14.02  																																																					| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 44.04/14.02  																																																					|
% 44.04/14.02  																																																						+-Applying beta-rule and splitting (569), into two cases.
% 44.04/14.02  																																																						|-Branch one:
% 44.04/14.02  																																																						| (570) all_0_93_93 = e3
% 44.04/14.02  																																																						|
% 44.04/14.02  																																																							| Equations (570) can reduce 602 to:
% 44.04/14.02  																																																							| (311) $false
% 44.04/14.02  																																																							|
% 44.04/14.02  																																																							|-The branch is then unsatisfiable
% 44.04/14.02  																																																						|-Branch two:
% 44.04/14.02  																																																						| (602)  ~ (all_0_93_93 = e3)
% 44.04/14.02  																																																						| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.04/14.02  																																																						|
% 44.04/14.02  																																																							+-Applying beta-rule and splitting (2576), into two cases.
% 44.04/14.02  																																																							|-Branch one:
% 44.04/14.02  																																																							| (607) all_0_93_93 = e4
% 44.04/14.02  																																																							|
% 44.04/14.02  																																																								| Equations (607) can reduce 602 to:
% 44.04/14.02  																																																								| (177)  ~ (e4 = e3)
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| Equations (607) can reduce 481 to:
% 44.04/14.02  																																																								| (256)  ~ (e4 = e1)
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| From (607) and (173) follows:
% 44.04/14.02  																																																								| (1935) op(e0, e4) = all_0_75_75
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 44.04/14.02  																																																								| (1966) all_0_75_75 = e4
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = all_0_69_69, yields:
% 44.04/14.02  																																																								| (15962) all_0_51_51 = all_0_69_69
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| Instantiating formula (262) with e0, e3, e3, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e3, yields:
% 44.04/14.02  																																																								| (1551) all_0_51_51 = e3
% 44.04/14.02  																																																								|
% 44.04/14.02  																																																								| Combining equations (15962,1551) yields a new equation:
% 44.04/14.02  																																																								| (17681) all_0_69_69 = e3
% 44.04/14.02  																																																								|
% 44.07/14.02  																																																								| Simplifying 17681 yields:
% 44.07/14.02  																																																								| (1902) all_0_69_69 = e3
% 44.07/14.02  																																																								|
% 44.07/14.02  																																																								+-Applying beta-rule and splitting (89), into two cases.
% 44.07/14.02  																																																								|-Branch one:
% 44.07/14.02  																																																								| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.07/14.02  																																																								|
% 44.07/14.02  																																																									+-Applying beta-rule and splitting (1373), into two cases.
% 44.07/14.02  																																																									|-Branch one:
% 44.07/14.02  																																																									| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.07/14.02  																																																									|
% 44.07/14.02  																																																										+-Applying beta-rule and splitting (1374), into two cases.
% 44.07/14.02  																																																										|-Branch one:
% 44.07/14.02  																																																										| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																											| Applying alpha-rule on (1375) yields:
% 44.07/14.02  																																																											| (1376) all_0_69_69 = e4
% 44.07/14.02  																																																											| (1377)  ~ (all_0_70_70 = e0)
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Combining equations (1376,1902) yields a new equation:
% 44.07/14.02  																																																											| (790) e4 = e3
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Simplifying 790 yields:
% 44.07/14.02  																																																											| (434) e4 = e3
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Equations (434) can reduce 177 to:
% 44.07/14.02  																																																											| (311) $false
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											|-The branch is then unsatisfiable
% 44.07/14.02  																																																										|-Branch two:
% 44.07/14.02  																																																										| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																											| Applying alpha-rule on (1379) yields:
% 44.07/14.02  																																																											| (1380) all_0_71_71 = e3
% 44.07/14.02  																																																											| (1381)  ~ (all_0_72_72 = e0)
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Combining equations (1380,2601) yields a new equation:
% 44.07/14.02  																																																											| (547) e3 = e2
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Simplifying 547 yields:
% 44.07/14.02  																																																											| (548) e3 = e2
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											| Equations (548) can reduce 169 to:
% 44.07/14.02  																																																											| (311) $false
% 44.07/14.02  																																																											|
% 44.07/14.02  																																																											|-The branch is then unsatisfiable
% 44.07/14.02  																																																									|-Branch two:
% 44.07/14.02  																																																									| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.07/14.02  																																																									|
% 44.07/14.02  																																																										| Applying alpha-rule on (1385) yields:
% 44.07/14.02  																																																										| (1386) all_0_73_73 = e2
% 44.07/14.02  																																																										| (1387)  ~ (all_0_74_74 = e0)
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																										| Combining equations (1386,2602) yields a new equation:
% 44.07/14.02  																																																										| (408) e2 = e1
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																										| Simplifying 408 yields:
% 44.07/14.02  																																																										| (385) e2 = e1
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																										| Equations (385) can reduce 243 to:
% 44.07/14.02  																																																										| (311) $false
% 44.07/14.02  																																																										|
% 44.07/14.02  																																																										|-The branch is then unsatisfiable
% 44.07/14.02  																																																								|-Branch two:
% 44.07/14.02  																																																								| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.07/14.02  																																																								|
% 44.07/14.02  																																																									| Applying alpha-rule on (1391) yields:
% 44.07/14.02  																																																									| (1392) all_0_75_75 = e1
% 44.07/14.02  																																																									| (1393)  ~ (all_0_76_76 = e0)
% 44.07/14.02  																																																									|
% 44.07/14.02  																																																									| Combining equations (1966,1392) yields a new equation:
% 44.07/14.02  																																																									| (813) e4 = e1
% 44.07/14.02  																																																									|
% 44.07/14.02  																																																									| Simplifying 813 yields:
% 44.07/14.02  																																																									| (814) e4 = e1
% 44.07/14.03  																																																									|
% 44.07/14.03  																																																									| Equations (814) can reduce 256 to:
% 44.07/14.03  																																																									| (311) $false
% 44.07/14.03  																																																									|
% 44.07/14.03  																																																									|-The branch is then unsatisfiable
% 44.07/14.03  																																																							|-Branch two:
% 44.07/14.03  																																																							| (496)  ~ (all_0_93_93 = e4)
% 44.07/14.03  																																																							| (2650) all_0_98_98 = e4
% 44.07/14.03  																																																							|
% 44.07/14.03  																																																								| Combining equations (2650,1543) yields a new equation:
% 44.07/14.03  																																																								| (813) e4 = e1
% 44.07/14.03  																																																								|
% 44.07/14.03  																																																								| Simplifying 813 yields:
% 44.07/14.03  																																																								| (814) e4 = e1
% 44.07/14.03  																																																								|
% 44.07/14.03  																																																								| Equations (814) can reduce 256 to:
% 44.07/14.03  																																																								| (311) $false
% 44.07/14.03  																																																								|
% 44.07/14.03  																																																								|-The branch is then unsatisfiable
% 44.07/14.03  																																																	|-Branch two:
% 44.07/14.03  																																																	| (840)  ~ (all_0_92_92 = e1)
% 44.07/14.03  																																																	| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 44.07/14.03  																																																	|
% 44.07/14.03  																																																		+-Applying beta-rule and splitting (3800), into two cases.
% 44.07/14.03  																																																		|-Branch one:
% 44.07/14.03  																																																		| (882) all_0_92_92 = e3
% 44.07/14.03  																																																		|
% 44.07/14.03  																																																			| Equations (882) can reduce 426 to:
% 44.07/14.03  																																																			| (311) $false
% 44.07/14.03  																																																			|
% 44.07/14.03  																																																			|-The branch is then unsatisfiable
% 44.07/14.03  																																																		|-Branch two:
% 44.07/14.03  																																																		| (426)  ~ (all_0_92_92 = e3)
% 44.07/14.03  																																																		| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 44.07/14.03  																																																		|
% 44.07/14.03  																																																			+-Applying beta-rule and splitting (16683), into two cases.
% 44.07/14.03  																																																			|-Branch one:
% 44.07/14.03  																																																			| (942) all_0_92_92 = e0
% 44.07/14.03  																																																			|
% 44.07/14.03  																																																				| Equations (942) can reduce 946 to:
% 44.07/14.03  																																																				| (311) $false
% 44.07/14.03  																																																				|
% 44.07/14.03  																																																				|-The branch is then unsatisfiable
% 44.07/14.03  																																																			|-Branch two:
% 44.07/14.03  																																																			| (946)  ~ (all_0_92_92 = e0)
% 44.07/14.03  																																																			| (442) all_0_92_92 = e4
% 44.07/14.03  																																																			|
% 44.07/14.03  																																																				| Equations (442) can reduce 1619 to:
% 44.07/14.03  																																																				| (311) $false
% 44.07/14.03  																																																				|
% 44.07/14.03  																																																				|-The branch is then unsatisfiable
% 44.07/14.03  																																															|-Branch two:
% 44.07/14.03  																																															| (1804)  ~ (all_0_98_98 = e1)
% 44.07/14.03  																																															| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.07/14.03  																																															|
% 44.07/14.03  																																																+-Applying beta-rule and splitting (5122), into two cases.
% 44.07/14.03  																																																|-Branch one:
% 44.07/14.03  																																																| (969) all_0_98_98 = e3
% 44.07/14.03  																																																|
% 44.07/14.03  																																																	| Equations (969) can reduce 1519 to:
% 44.07/14.03  																																																	| (311) $false
% 44.07/14.03  																																																	|
% 44.07/14.03  																																																	|-The branch is then unsatisfiable
% 44.07/14.03  																																																|-Branch two:
% 44.07/14.03  																																																| (1519)  ~ (all_0_98_98 = e3)
% 44.07/14.03  																																																| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 44.07/14.03  																																																|
% 44.07/14.03  																																																	+-Applying beta-rule and splitting (5284), into two cases.
% 44.07/14.03  																																																	|-Branch one:
% 44.07/14.03  																																																	| (1121) all_0_98_98 = e0
% 44.07/14.03  																																																	|
% 44.07/14.03  																																																		| Equations (1121) can reduce 2059 to:
% 44.07/14.03  																																																		| (311) $false
% 44.07/14.03  																																																		|
% 44.07/14.03  																																																		|-The branch is then unsatisfiable
% 44.07/14.03  																																																	|-Branch two:
% 44.07/14.03  																																																	| (2059)  ~ (all_0_98_98 = e0)
% 44.07/14.03  																																																	| (2650) all_0_98_98 = e4
% 44.07/14.03  																																																	|
% 44.07/14.03  																																																		| Equations (2650) can reduce 321 to:
% 44.07/14.03  																																																		| (311) $false
% 44.07/14.03  																																																		|
% 44.07/14.03  																																																		|-The branch is then unsatisfiable
% 44.07/14.03  																																												|-Branch two:
% 44.07/14.03  																																												| (420)  ~ (all_0_81_81 = e3)
% 44.07/14.03  																																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.07/14.03  																																												|
% 44.07/14.03  																																													+-Applying beta-rule and splitting (4488), into two cases.
% 44.07/14.03  																																													|-Branch one:
% 44.07/14.03  																																													| (804) all_0_85_85 = e3
% 44.07/14.03  																																													|
% 44.07/14.03  																																														| Combining equations (512,804) yields a new equation:
% 44.07/14.03  																																														| (548) e3 = e2
% 44.07/14.03  																																														|
% 44.07/14.03  																																														| Equations (548) can reduce 169 to:
% 44.07/14.03  																																														| (311) $false
% 44.07/14.03  																																														|
% 44.07/14.03  																																														|-The branch is then unsatisfiable
% 44.07/14.03  																																													|-Branch two:
% 44.07/14.03  																																													| (952)  ~ (all_0_85_85 = e3)
% 44.07/14.03  																																													| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.07/14.03  																																													|
% 44.07/14.03  																																														+-Applying beta-rule and splitting (4559), into two cases.
% 44.07/14.03  																																														|-Branch one:
% 44.07/14.03  																																														| (570) all_0_93_93 = e3
% 44.07/14.03  																																														|
% 44.07/14.03  																																															| Equations (570) can reduce 602 to:
% 44.07/14.03  																																															| (311) $false
% 44.07/14.03  																																															|
% 44.07/14.03  																																															|-The branch is then unsatisfiable
% 44.07/14.03  																																														|-Branch two:
% 44.07/14.03  																																														| (602)  ~ (all_0_93_93 = e3)
% 44.07/14.03  																																														| (969) all_0_98_98 = e3
% 44.07/14.03  																																														|
% 44.07/14.03  																																															| Equations (969) can reduce 1519 to:
% 44.07/14.03  																																															| (311) $false
% 44.07/14.03  																																															|
% 44.07/14.03  																																															|-The branch is then unsatisfiable
% 44.07/14.03  																																						|-Branch two:
% 44.07/14.03  																																						| (762)  ~ (all_0_90_90 = e0)
% 44.07/14.03  																																						| (583) all_0_90_90 = e4
% 44.07/14.03  																																						|
% 44.07/14.03  																																							| Equations (583) can reduce 467 to:
% 44.07/14.03  																																							| (311) $false
% 44.07/14.03  																																							|
% 44.07/14.03  																																							|-The branch is then unsatisfiable
% 44.07/14.03  																												|-Branch two:
% 44.07/14.03  																												| (422)  ~ (all_0_84_84 = e3)
% 44.07/14.03  																												| (804) all_0_85_85 = e3
% 44.07/14.03  																												|
% 44.07/14.03  																													| Combining equations (512,804) yields a new equation:
% 44.07/14.03  																													| (548) e3 = e2
% 44.07/14.03  																													|
% 44.07/14.03  																													| Equations (548) can reduce 169 to:
% 44.07/14.03  																													| (311) $false
% 44.07/14.03  																													|
% 44.07/14.03  																													|-The branch is then unsatisfiable
% 44.07/14.03  																									|-Branch two:
% 44.07/14.03  																									| (465)  ~ (all_0_82_82 = e4)
% 44.07/14.03  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.07/14.03  																									|
% 44.07/14.03  																										+-Applying beta-rule and splitting (472), into two cases.
% 44.07/14.03  																										|-Branch one:
% 44.07/14.03  																										| (438) all_0_84_84 = e4
% 44.07/14.03  																										|
% 44.07/14.03  																											| Equations (438) can reduce 273 to:
% 44.07/14.03  																											| (436)  ~ (all_0_80_80 = e4)
% 44.07/14.03  																											|
% 44.07/14.03  																											| Equations (438) can reduce 7 to:
% 44.07/14.03  																											| (465)  ~ (all_0_82_82 = e4)
% 44.07/14.03  																											|
% 44.07/14.03  																											| Equations (438) can reduce 612 to:
% 44.07/14.03  																											| (79)  ~ (e4 = e2)
% 44.07/14.03  																											|
% 44.07/14.03  																											+-Applying beta-rule and splitting (171), into two cases.
% 44.07/14.03  																											|-Branch one:
% 44.07/14.03  																											| (789) all_0_82_82 = e3
% 44.07/14.03  																											|
% 44.07/14.03  																												| Equations (789) can reduce 200 to:
% 44.07/14.03  																												| (1070)  ~ (all_0_95_95 = e3)
% 44.07/14.03  																												|
% 44.07/14.03  																												| Simplifying 1070 yields:
% 44.07/14.03  																												| (765)  ~ (all_0_95_95 = e3)
% 44.07/14.03  																												|
% 44.07/14.03  																												| Equations (789) can reduce 465 to:
% 44.07/14.03  																												| (783)  ~ (e4 = e3)
% 44.07/14.03  																												|
% 44.07/14.03  																												| Simplifying 783 yields:
% 44.07/14.03  																												| (177)  ~ (e4 = e3)
% 44.07/14.03  																												|
% 44.07/14.03  																												+-Applying beta-rule and splitting (45), into two cases.
% 44.07/14.03  																												|-Branch one:
% 44.07/14.03  																												| (546) all_0_80_80 = e2
% 44.07/14.03  																												|
% 44.07/14.03  																													| Equations (546) can reduce 394 to:
% 44.07/14.03  																													| (311) $false
% 44.07/14.03  																													|
% 44.07/14.03  																													|-The branch is then unsatisfiable
% 44.07/14.03  																												|-Branch two:
% 44.07/14.03  																												| (394)  ~ (all_0_80_80 = e2)
% 44.07/14.03  																												| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.07/14.03  																												|
% 44.07/14.03  																													+-Applying beta-rule and splitting (4), into two cases.
% 44.07/14.03  																													|-Branch one:
% 44.07/14.03  																													| (463) all_0_78_78 = e4
% 44.07/14.03  																													|
% 44.07/14.03  																														| Combining equations (400,463) yields a new equation:
% 44.07/14.03  																														| (310) e4 = e2
% 44.07/14.03  																														|
% 44.07/14.03  																														| Equations (310) can reduce 79 to:
% 44.07/14.03  																														| (311) $false
% 44.07/14.03  																														|
% 44.07/14.03  																														|-The branch is then unsatisfiable
% 44.07/14.03  																													|-Branch two:
% 44.07/14.03  																													| (640)  ~ (all_0_78_78 = e4)
% 44.07/14.03  																													| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.07/14.03  																													|
% 44.07/14.03  																														+-Applying beta-rule and splitting (3232), into two cases.
% 44.07/14.03  																														|-Branch one:
% 44.07/14.03  																														| (824) all_0_80_80 = e1
% 44.07/14.03  																														|
% 44.07/14.03  																															| Equations (824) can reduce 828 to:
% 44.07/14.03  																															| (311) $false
% 44.07/14.03  																															|
% 44.07/14.03  																															|-The branch is then unsatisfiable
% 44.07/14.03  																														|-Branch two:
% 44.07/14.03  																														| (828)  ~ (all_0_80_80 = e1)
% 44.07/14.03  																														| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.07/14.03  																														|
% 44.07/14.03  																															+-Applying beta-rule and splitting (641), into two cases.
% 44.07/14.03  																															|-Branch one:
% 44.07/14.03  																															| (433) all_0_80_80 = e4
% 44.07/14.03  																															|
% 44.07/14.03  																																| Equations (433) can reduce 436 to:
% 44.07/14.03  																																| (311) $false
% 44.07/14.03  																																|
% 44.07/14.03  																																|-The branch is then unsatisfiable
% 44.07/14.03  																															|-Branch two:
% 44.07/14.03  																															| (436)  ~ (all_0_80_80 = e4)
% 44.07/14.03  																															| (638) all_0_81_81 = e4
% 44.07/14.03  																															|
% 44.07/14.03  																																| Equations (638) can reduce 144 to:
% 44.07/14.03  																																| (436)  ~ (all_0_80_80 = e4)
% 44.07/14.03  																																|
% 44.07/14.03  																																| Equations (638) can reduce 257 to:
% 44.07/14.03  																																| (23)  ~ (e4 = e0)
% 44.07/14.03  																																|
% 44.07/14.03  																																| From (638) and (68) follows:
% 44.07/14.03  																																| (657) op(e4, e4) = all_0_70_70
% 44.07/14.03  																																|
% 44.07/14.03  																																+-Applying beta-rule and splitting (65), into two cases.
% 44.07/14.03  																																|-Branch one:
% 44.07/14.03  																																| (522) all_0_93_93 = e2
% 44.07/14.03  																																|
% 44.07/14.03  																																	| Equations (522) can reduce 300 to:
% 44.07/14.03  																																	| (311) $false
% 44.07/14.03  																																	|
% 44.07/14.03  																																	|-The branch is then unsatisfiable
% 44.07/14.03  																																|-Branch two:
% 44.07/14.03  																																| (300)  ~ (all_0_93_93 = e2)
% 44.07/14.03  																																| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.07/14.03  																																|
% 44.07/14.03  																																	+-Applying beta-rule and splitting (3625), into two cases.
% 44.07/14.03  																																	|-Branch one:
% 44.07/14.03  																																	| (469) all_0_82_82 = e4
% 44.07/14.03  																																	|
% 44.07/14.03  																																		| Combining equations (789,469) yields a new equation:
% 44.07/14.03  																																		| (434) e4 = e3
% 44.07/14.03  																																		|
% 44.07/14.03  																																		| Equations (434) can reduce 177 to:
% 44.07/14.03  																																		| (311) $false
% 44.07/14.03  																																		|
% 44.07/14.03  																																		|-The branch is then unsatisfiable
% 44.07/14.03  																																	|-Branch two:
% 44.07/14.03  																																	| (465)  ~ (all_0_82_82 = e4)
% 44.07/14.03  																																	| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.07/14.03  																																	|
% 44.07/14.03  																																		+-Applying beta-rule and splitting (565), into two cases.
% 44.07/14.03  																																		|-Branch one:
% 44.07/14.03  																																		| (566) all_0_93_93 = e1
% 44.07/14.03  																																		|
% 44.07/14.03  																																			| Equations (566) can reduce 283 to:
% 44.07/14.03  																																			| (840)  ~ (all_0_92_92 = e1)
% 44.07/14.03  																																			|
% 44.07/14.03  																																			| Equations (566) can reduce 300 to:
% 44.07/14.03  																																			| (487)  ~ (e2 = e1)
% 44.07/14.03  																																			|
% 44.07/14.03  																																			| Simplifying 487 yields:
% 44.07/14.03  																																			| (243)  ~ (e2 = e1)
% 44.07/14.03  																																			|
% 44.07/14.03  																																			| Equations (566) can reduce 509 to:
% 44.07/14.03  																																			| (264)  ~ (e1 = e0)
% 44.07/14.03  																																			|
% 44.07/14.03  																																			| From (566) and (21) follows:
% 44.07/14.03  																																			| (14721) op(e1, e1) = all_0_76_76
% 44.07/14.03  																																			|
% 44.07/14.03  																																			+-Applying beta-rule and splitting (3629), into two cases.
% 44.07/14.03  																																			|-Branch one:
% 44.07/14.03  																																			| (583) all_0_90_90 = e4
% 44.07/14.03  																																			|
% 44.07/14.03  																																				+-Applying beta-rule and splitting (4018), into two cases.
% 44.07/14.03  																																				|-Branch one:
% 44.07/14.03  																																				| (416) all_0_80_80 = e3
% 44.07/14.03  																																				|
% 44.07/14.03  																																					| Equations (416) can reduce 49 to:
% 44.07/14.03  																																					| (425)  ~ (all_0_92_92 = e3)
% 44.07/14.03  																																					|
% 44.07/14.03  																																					| Simplifying 425 yields:
% 44.07/14.03  																																					| (426)  ~ (all_0_92_92 = e3)
% 44.07/14.03  																																					|
% 44.07/14.03  																																					| Equations (416) can reduce 202 to:
% 44.07/14.04  																																					| (427)  ~ (all_0_97_97 = e3)
% 44.07/14.04  																																					|
% 44.07/14.04  																																					| Simplifying 427 yields:
% 44.07/14.04  																																					| (428)  ~ (all_0_97_97 = e3)
% 44.07/14.04  																																					|
% 44.07/14.04  																																					| Equations (416) can reduce 394 to:
% 44.07/14.04  																																					| (169)  ~ (e3 = e2)
% 44.07/14.04  																																					|
% 44.07/14.04  																																					| Equations (416) can reduce 828 to:
% 44.07/14.04  																																					| (20)  ~ (e3 = e1)
% 44.07/14.04  																																					|
% 44.07/14.04  																																					| Equations (416) can reduce 166 to:
% 44.07/14.04  																																					| (50)  ~ (e3 = e0)
% 44.07/14.04  																																					|
% 44.07/14.04  																																					+-Applying beta-rule and splitting (48), into two cases.
% 44.07/14.04  																																					|-Branch one:
% 44.07/14.04  																																					| (525) all_0_98_98 = e2
% 44.07/14.04  																																					|
% 44.07/14.04  																																						| Equations (525) can reduce 1349 to:
% 44.07/14.04  																																						| (311) $false
% 44.07/14.04  																																						|
% 44.07/14.04  																																						|-The branch is then unsatisfiable
% 44.07/14.04  																																					|-Branch two:
% 44.07/14.04  																																					| (1349)  ~ (all_0_98_98 = e2)
% 44.07/14.04  																																					| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.07/14.04  																																					|
% 44.07/14.04  																																						+-Applying beta-rule and splitting (254), into two cases.
% 44.07/14.04  																																						|-Branch one:
% 44.07/14.04  																																						| (910) all_0_82_82 = e0
% 44.07/14.04  																																						|
% 44.07/14.04  																																							| Combining equations (789,910) yields a new equation:
% 44.07/14.04  																																							| (599) e3 = e0
% 44.07/14.04  																																							|
% 44.07/14.04  																																							| Simplifying 599 yields:
% 44.07/14.04  																																							| (600) e3 = e0
% 44.07/14.04  																																							|
% 44.07/14.04  																																							| Equations (600) can reduce 50 to:
% 44.07/14.04  																																							| (311) $false
% 44.07/14.04  																																							|
% 44.07/14.04  																																							|-The branch is then unsatisfiable
% 44.07/14.04  																																						|-Branch two:
% 44.07/14.04  																																						| (914)  ~ (all_0_82_82 = e0)
% 44.07/14.04  																																						| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.07/14.04  																																						|
% 44.07/14.04  																																							+-Applying beta-rule and splitting (151), into two cases.
% 44.07/14.04  																																							|-Branch one:
% 44.07/14.04  																																							| (824) all_0_80_80 = e1
% 44.07/14.04  																																							|
% 44.07/14.04  																																								| Combining equations (416,824) yields a new equation:
% 44.07/14.04  																																								| (825) e3 = e1
% 44.07/14.04  																																								|
% 44.07/14.04  																																								| Simplifying 825 yields:
% 44.07/14.04  																																								| (772) e3 = e1
% 44.07/14.04  																																								|
% 44.07/14.04  																																								| Equations (772) can reduce 20 to:
% 44.07/14.04  																																								| (311) $false
% 44.07/14.04  																																								|
% 44.07/14.04  																																								|-The branch is then unsatisfiable
% 44.07/14.04  																																							|-Branch two:
% 44.07/14.04  																																							| (828)  ~ (all_0_80_80 = e1)
% 44.07/14.04  																																							| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.07/14.04  																																							|
% 44.07/14.04  																																								+-Applying beta-rule and splitting (270), into two cases.
% 44.07/14.04  																																								|-Branch one:
% 44.07/14.04  																																								| (744) all_0_95_95 = e3
% 44.07/14.04  																																								|
% 44.07/14.04  																																									| Equations (744) can reduce 765 to:
% 44.07/14.04  																																									| (311) $false
% 44.07/14.04  																																									|
% 44.07/14.04  																																									|-The branch is then unsatisfiable
% 44.07/14.04  																																								|-Branch two:
% 44.07/14.04  																																								| (765)  ~ (all_0_95_95 = e3)
% 44.07/14.04  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.07/14.04  																																								|
% 44.07/14.04  																																									+-Applying beta-rule and splitting (766), into two cases.
% 44.07/14.04  																																									|-Branch one:
% 44.07/14.04  																																									| (778) all_0_96_96 = e3
% 44.07/14.04  																																									|
% 44.07/14.04  																																										| Combining equations (1704,778) yields a new equation:
% 44.07/14.04  																																										| (548) e3 = e2
% 44.07/14.04  																																										|
% 44.07/14.04  																																										| Equations (548) can reduce 169 to:
% 44.07/14.04  																																										| (311) $false
% 44.07/14.04  																																										|
% 44.07/14.04  																																										|-The branch is then unsatisfiable
% 44.07/14.04  																																									|-Branch two:
% 44.07/14.04  																																									| (964)  ~ (all_0_96_96 = e3)
% 44.07/14.04  																																									| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.07/14.04  																																									|
% 44.07/14.04  																																										+-Applying beta-rule and splitting (291), into two cases.
% 44.07/14.04  																																										|-Branch one:
% 44.07/14.04  																																										| (758) all_0_90_90 = e0
% 44.07/14.04  																																										|
% 44.07/14.04  																																											| Combining equations (758,583) yields a new equation:
% 44.07/14.04  																																											| (912) e4 = e0
% 44.07/14.04  																																											|
% 44.07/14.04  																																											| Equations (912) can reduce 23 to:
% 44.07/14.04  																																											| (311) $false
% 44.07/14.04  																																											|
% 44.07/14.04  																																											|-The branch is then unsatisfiable
% 44.07/14.04  																																										|-Branch two:
% 44.07/14.04  																																										| (762)  ~ (all_0_90_90 = e0)
% 44.07/14.04  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.07/14.04  																																										|
% 44.07/14.04  																																											| Equations (583) can reduce 762 to:
% 44.07/14.04  																																											| (23)  ~ (e4 = e0)
% 44.07/14.04  																																											|
% 44.07/14.04  																																											+-Applying beta-rule and splitting (965), into two cases.
% 44.07/14.04  																																											|-Branch one:
% 44.07/14.04  																																											| (556) all_0_97_97 = e3
% 44.07/14.04  																																											|
% 44.07/14.04  																																												| Equations (556) can reduce 428 to:
% 44.07/14.04  																																												| (311) $false
% 44.07/14.04  																																												|
% 44.07/14.04  																																												|-The branch is then unsatisfiable
% 44.07/14.04  																																											|-Branch two:
% 44.07/14.04  																																											| (428)  ~ (all_0_97_97 = e3)
% 44.07/14.04  																																											| (969) all_0_98_98 = e3
% 44.07/14.04  																																											|
% 44.07/14.04  																																												| Combining equations (969,1370) yields a new equation:
% 44.07/14.04  																																												| (17845) all_0_73_73 = e3
% 44.07/14.04  																																												|
% 44.07/14.04  																																												| Equations (969) can reduce 1349 to:
% 44.07/14.04  																																												| (169)  ~ (e3 = e2)
% 44.07/14.04  																																												|
% 44.07/14.04  																																												| Equations (969) can reduce 2059 to:
% 44.07/14.04  																																												| (50)  ~ (e3 = e0)
% 44.07/14.04  																																												|
% 44.07/14.04  																																												+-Applying beta-rule and splitting (1455), into two cases.
% 44.07/14.04  																																												|-Branch one:
% 44.07/14.04  																																												| (1456) all_0_91_91 = e0
% 44.07/14.04  																																												|
% 44.07/14.04  																																													| Combining equations (1456,588) yields a new equation:
% 44.07/14.04  																																													| (600) e3 = e0
% 44.07/14.04  																																													|
% 44.07/14.04  																																													| Equations (600) can reduce 50 to:
% 44.07/14.04  																																													| (311) $false
% 44.07/14.04  																																													|
% 44.07/14.04  																																													|-The branch is then unsatisfiable
% 44.07/14.04  																																												|-Branch two:
% 44.07/14.04  																																												| (1487)  ~ (all_0_91_91 = e0)
% 44.07/14.04  																																												| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.07/14.04  																																												|
% 44.07/14.04  																																													+-Applying beta-rule and splitting (829), into two cases.
% 44.07/14.04  																																													|-Branch one:
% 44.07/14.04  																																													| (482) all_0_87_87 = e1
% 44.07/14.04  																																													|
% 44.07/14.04  																																														| Combining equations (482,374) yields a new equation:
% 44.07/14.04  																																														| (385) e2 = e1
% 44.07/14.04  																																														|
% 44.07/14.04  																																														| Equations (385) can reduce 243 to:
% 44.07/14.04  																																														| (311) $false
% 44.07/14.04  																																														|
% 44.07/14.04  																																														|-The branch is then unsatisfiable
% 44.07/14.04  																																													|-Branch two:
% 44.07/14.04  																																													| (625)  ~ (all_0_87_87 = e1)
% 44.07/14.04  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.07/14.04  																																													|
% 44.07/14.04  																																														+-Applying beta-rule and splitting (915), into two cases.
% 44.07/14.04  																																														|-Branch one:
% 44.07/14.04  																																														| (378) all_0_86_86 = e0
% 44.07/14.04  																																														|
% 44.07/14.04  																																															| Combining equations (378,384) yields a new equation:
% 44.07/14.04  																																															| (865) e1 = e0
% 44.07/14.04  																																															|
% 44.07/14.04  																																															| Equations (865) can reduce 264 to:
% 44.07/14.04  																																															| (311) $false
% 44.07/14.04  																																															|
% 44.07/14.04  																																															|-The branch is then unsatisfiable
% 44.07/14.04  																																														|-Branch two:
% 44.07/14.04  																																														| (381)  ~ (all_0_86_86 = e0)
% 44.07/14.04  																																														| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.07/14.04  																																														|
% 44.07/14.04  																																															| Equations (384) can reduce 381 to:
% 44.07/14.04  																																															| (264)  ~ (e1 = e0)
% 44.07/14.04  																																															|
% 44.07/14.04  																																															+-Applying beta-rule and splitting (835), into two cases.
% 44.07/14.04  																																															|-Branch one:
% 44.07/14.04  																																															| (836) all_0_92_92 = e1
% 44.07/14.04  																																															|
% 44.07/14.04  																																																| Equations (836) can reduce 840 to:
% 44.07/14.04  																																																| (311) $false
% 44.07/14.04  																																																|
% 44.07/14.04  																																																|-The branch is then unsatisfiable
% 44.07/14.04  																																															|-Branch two:
% 44.07/14.04  																																															| (840)  ~ (all_0_92_92 = e1)
% 44.07/14.04  																																															| (542) all_0_97_97 = e1
% 44.07/14.04  																																															|
% 44.07/14.04  																																																| Equations (542) can reduce 258 to:
% 44.07/14.04  																																																| (840)  ~ (all_0_92_92 = e1)
% 44.07/14.04  																																																|
% 44.07/14.04  																																																| Equations (542) can reduce 105 to:
% 44.07/14.04  																																																| (680)  ~ (all_0_95_95 = e1)
% 44.07/14.04  																																																|
% 44.07/14.04  																																																| From (542) and (252) follows:
% 44.07/14.04  																																																| (3446) op(e1, e1) = all_0_67_67
% 44.07/14.04  																																																|
% 44.07/14.04  																																																+-Applying beta-rule and splitting (2), into two cases.
% 44.07/14.04  																																																|-Branch one:
% 44.07/14.04  																																																| (916) all_0_84_84 = e0
% 44.07/14.04  																																																|
% 44.07/14.04  																																																	| Combining equations (438,916) yields a new equation:
% 44.07/14.04  																																																	| (911) e4 = e0
% 44.07/14.04  																																																	|
% 44.07/14.04  																																																	| Simplifying 911 yields:
% 44.07/14.04  																																																	| (912) e4 = e0
% 44.07/14.04  																																																	|
% 44.07/14.04  																																																	| Equations (912) can reduce 23 to:
% 44.07/14.04  																																																	| (311) $false
% 44.07/14.04  																																																	|
% 44.07/14.04  																																																	|-The branch is then unsatisfiable
% 44.07/14.04  																																																|-Branch two:
% 44.07/14.04  																																																| (919)  ~ (all_0_84_84 = e0)
% 44.07/14.04  																																																| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 44.07/14.04  																																																|
% 44.07/14.04  																																																	+-Applying beta-rule and splitting (102), into two cases.
% 44.07/14.04  																																																	|-Branch one:
% 44.07/14.04  																																																	| (858) all_0_95_95 = e0
% 44.07/14.04  																																																	|
% 44.07/14.04  																																																		| Equations (858) can reduce 680 to:
% 44.07/14.04  																																																		| (859)  ~ (e1 = e0)
% 44.07/14.04  																																																		|
% 44.07/14.04  																																																		| Simplifying 859 yields:
% 44.07/14.04  																																																		| (264)  ~ (e1 = e0)
% 44.07/14.04  																																																		|
% 44.07/14.04  																																																		+-Applying beta-rule and splitting (1488), into two cases.
% 44.07/14.04  																																																		|-Branch one:
% 44.07/14.04  																																																		| (942) all_0_92_92 = e0
% 44.07/14.04  																																																		|
% 44.07/14.04  																																																			| From (942) and (135) follows:
% 44.07/14.04  																																																			| (4548) op(e1, e1) = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 44.07/14.04  																																																			| (686) all_0_70_70 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Instantiating formula (262) with e1, e1, all_0_76_76, all_0_67_67 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = all_0_76_76, yields:
% 44.07/14.04  																																																			| (13241) all_0_67_67 = all_0_76_76
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Instantiating formula (262) with e1, e1, e0, all_0_67_67 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = e0, yields:
% 44.07/14.04  																																																			| (597) all_0_67_67 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Combining equations (13241,597) yields a new equation:
% 44.07/14.04  																																																			| (17885) all_0_76_76 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Simplifying 17885 yields:
% 44.07/14.04  																																																			| (8960) all_0_76_76 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			+-Applying beta-rule and splitting (89), into two cases.
% 44.07/14.04  																																																			|-Branch one:
% 44.07/14.04  																																																			| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																				+-Applying beta-rule and splitting (1373), into two cases.
% 44.07/14.04  																																																				|-Branch one:
% 44.07/14.04  																																																				| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.07/14.04  																																																				|
% 44.07/14.04  																																																					+-Applying beta-rule and splitting (1374), into two cases.
% 44.07/14.04  																																																					|-Branch one:
% 44.07/14.04  																																																					| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.07/14.04  																																																					|
% 44.07/14.04  																																																						| Applying alpha-rule on (1375) yields:
% 44.07/14.04  																																																						| (1376) all_0_69_69 = e4
% 44.07/14.04  																																																						| (1377)  ~ (all_0_70_70 = e0)
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						| Equations (686) can reduce 1377 to:
% 44.07/14.04  																																																						| (311) $false
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						|-The branch is then unsatisfiable
% 44.07/14.04  																																																					|-Branch two:
% 44.07/14.04  																																																					| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.07/14.04  																																																					|
% 44.07/14.04  																																																						| Applying alpha-rule on (1379) yields:
% 44.07/14.04  																																																						| (1380) all_0_71_71 = e3
% 44.07/14.04  																																																						| (1381)  ~ (all_0_72_72 = e0)
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						| Combining equations (1380,2601) yields a new equation:
% 44.07/14.04  																																																						| (547) e3 = e2
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						| Simplifying 547 yields:
% 44.07/14.04  																																																						| (548) e3 = e2
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						| Equations (548) can reduce 169 to:
% 44.07/14.04  																																																						| (311) $false
% 44.07/14.04  																																																						|
% 44.07/14.04  																																																						|-The branch is then unsatisfiable
% 44.07/14.04  																																																				|-Branch two:
% 44.07/14.04  																																																				| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.07/14.04  																																																				|
% 44.07/14.04  																																																					| Applying alpha-rule on (1385) yields:
% 44.07/14.04  																																																					| (1386) all_0_73_73 = e2
% 44.07/14.04  																																																					| (1387)  ~ (all_0_74_74 = e0)
% 44.07/14.04  																																																					|
% 44.07/14.04  																																																					| Combining equations (1386,17845) yields a new equation:
% 44.07/14.04  																																																					| (548) e3 = e2
% 44.07/14.04  																																																					|
% 44.07/14.04  																																																					| Equations (548) can reduce 169 to:
% 44.07/14.04  																																																					| (311) $false
% 44.07/14.04  																																																					|
% 44.07/14.04  																																																					|-The branch is then unsatisfiable
% 44.07/14.04  																																																			|-Branch two:
% 44.07/14.04  																																																			| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																				| Applying alpha-rule on (1391) yields:
% 44.07/14.04  																																																				| (1392) all_0_75_75 = e1
% 44.07/14.04  																																																				| (1393)  ~ (all_0_76_76 = e0)
% 44.07/14.04  																																																				|
% 44.07/14.04  																																																				| Equations (8960) can reduce 1393 to:
% 44.07/14.04  																																																				| (311) $false
% 44.07/14.04  																																																				|
% 44.07/14.04  																																																				|-The branch is then unsatisfiable
% 44.07/14.04  																																																		|-Branch two:
% 44.07/14.04  																																																		| (946)  ~ (all_0_92_92 = e0)
% 44.07/14.04  																																																		| (604) all_0_93_93 = e0
% 44.07/14.04  																																																		|
% 44.07/14.04  																																																			| Combining equations (566,604) yields a new equation:
% 44.07/14.04  																																																			| (1107) e1 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Simplifying 1107 yields:
% 44.07/14.04  																																																			| (865) e1 = e0
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			| Equations (865) can reduce 264 to:
% 44.07/14.04  																																																			| (311) $false
% 44.07/14.04  																																																			|
% 44.07/14.04  																																																			|-The branch is then unsatisfiable
% 44.07/14.04  																																																	|-Branch two:
% 44.07/14.04  																																																	| (893)  ~ (all_0_95_95 = e0)
% 44.07/14.04  																																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.07/14.05  																																																	|
% 44.07/14.05  																																																		+-Applying beta-rule and splitting (920), into two cases.
% 44.07/14.05  																																																		|-Branch one:
% 44.07/14.05  																																																		| (861) all_0_87_87 = e0
% 44.07/14.05  																																																		|
% 44.07/14.05  																																																			| Combining equations (374,861) yields a new equation:
% 44.07/14.05  																																																			| (923) e2 = e0
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																			| Simplifying 923 yields:
% 44.07/14.05  																																																			| (379) e2 = e0
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																			| Equations (379) can reduce 76 to:
% 44.07/14.05  																																																			| (311) $false
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																			|-The branch is then unsatisfiable
% 44.07/14.05  																																																		|-Branch two:
% 44.07/14.05  																																																		| (889)  ~ (all_0_87_87 = e0)
% 44.07/14.05  																																																		| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 44.07/14.05  																																																		|
% 44.07/14.05  																																																			| Equations (374) can reduce 889 to:
% 44.07/14.05  																																																			| (76)  ~ (e2 = e0)
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																			+-Applying beta-rule and splitting (1921), into two cases.
% 44.07/14.05  																																																			|-Branch one:
% 44.07/14.05  																																																			| (1837) all_0_96_96 = e0
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																				| Combining equations (1837,1704) yields a new equation:
% 44.07/14.05  																																																				| (379) e2 = e0
% 44.07/14.05  																																																				|
% 44.07/14.05  																																																				| Equations (379) can reduce 76 to:
% 44.07/14.05  																																																				| (311) $false
% 44.07/14.05  																																																				|
% 44.07/14.05  																																																				|-The branch is then unsatisfiable
% 44.07/14.05  																																																			|-Branch two:
% 44.07/14.05  																																																			| (2095)  ~ (all_0_96_96 = e0)
% 44.07/14.05  																																																			| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.07/14.05  																																																			|
% 44.07/14.05  																																																				+-Applying beta-rule and splitting (931), into two cases.
% 44.07/14.05  																																																				|-Branch one:
% 44.07/14.05  																																																				| (942) all_0_92_92 = e0
% 44.07/14.05  																																																				|
% 44.07/14.05  																																																					| Equations (942) can reduce 426 to:
% 44.07/14.05  																																																					| (906)  ~ (e3 = e0)
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					| Simplifying 906 yields:
% 44.07/14.05  																																																					| (50)  ~ (e3 = e0)
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					| Equations (942) can reduce 840 to:
% 44.07/14.05  																																																					| (859)  ~ (e1 = e0)
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					| Simplifying 859 yields:
% 44.07/14.05  																																																					| (264)  ~ (e1 = e0)
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					+-Applying beta-rule and splitting (2096), into two cases.
% 44.07/14.05  																																																					|-Branch one:
% 44.07/14.05  																																																					| (560) all_0_97_97 = e0
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																						| Combining equations (542,560) yields a new equation:
% 44.07/14.05  																																																						| (1107) e1 = e0
% 44.07/14.05  																																																						|
% 44.07/14.05  																																																						| Simplifying 1107 yields:
% 44.07/14.05  																																																						| (865) e1 = e0
% 44.07/14.05  																																																						|
% 44.07/14.05  																																																						| Equations (865) can reduce 264 to:
% 44.07/14.05  																																																						| (311) $false
% 44.07/14.05  																																																						|
% 44.07/14.05  																																																						|-The branch is then unsatisfiable
% 44.07/14.05  																																																					|-Branch two:
% 44.07/14.05  																																																					| (609)  ~ (all_0_97_97 = e0)
% 44.07/14.05  																																																					| (1121) all_0_98_98 = e0
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																						| Combining equations (1121,969) yields a new equation:
% 44.07/14.05  																																																						| (600) e3 = e0
% 44.07/14.05  																																																						|
% 44.07/14.05  																																																						| Equations (600) can reduce 50 to:
% 44.07/14.05  																																																						| (311) $false
% 44.07/14.05  																																																						|
% 44.07/14.05  																																																						|-The branch is then unsatisfiable
% 44.07/14.05  																																																				|-Branch two:
% 44.07/14.05  																																																				| (946)  ~ (all_0_92_92 = e0)
% 44.07/14.05  																																																				| (560) all_0_97_97 = e0
% 44.07/14.05  																																																				|
% 44.07/14.05  																																																					| Combining equations (560,542) yields a new equation:
% 44.07/14.05  																																																					| (865) e1 = e0
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					| Equations (865) can reduce 264 to:
% 44.07/14.05  																																																					| (311) $false
% 44.07/14.05  																																																					|
% 44.07/14.05  																																																					|-The branch is then unsatisfiable
% 44.09/14.05  																																				|-Branch two:
% 44.09/14.05  																																				| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.05  																																				| (433) all_0_80_80 = e4
% 44.09/14.05  																																				|
% 44.09/14.05  																																					| Equations (433) can reduce 436 to:
% 44.09/14.05  																																					| (311) $false
% 44.09/14.05  																																					|
% 44.09/14.05  																																					|-The branch is then unsatisfiable
% 44.09/14.05  																																			|-Branch two:
% 44.09/14.05  																																			| (467)  ~ (all_0_90_90 = e4)
% 44.09/14.05  																																			| (894) all_0_95_95 = e4
% 44.09/14.05  																																			|
% 44.09/14.05  																																				| Equations (894) can reduce 315 to:
% 44.09/14.05  																																				| (311) $false
% 44.09/14.05  																																				|
% 44.09/14.05  																																				|-The branch is then unsatisfiable
% 44.09/14.05  																																		|-Branch two:
% 44.09/14.05  																																		| (481)  ~ (all_0_93_93 = e1)
% 44.09/14.05  																																		| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.09/14.05  																																		|
% 44.09/14.05  																																			+-Applying beta-rule and splitting (3629), into two cases.
% 44.09/14.05  																																			|-Branch one:
% 44.09/14.05  																																			| (583) all_0_90_90 = e4
% 44.09/14.05  																																			|
% 44.09/14.05  																																				| Equations (583) can reduce 678 to:
% 44.09/14.05  																																				| (256)  ~ (e4 = e1)
% 44.09/14.05  																																				|
% 44.09/14.05  																																				+-Applying beta-rule and splitting (4018), into two cases.
% 44.09/14.05  																																				|-Branch one:
% 44.09/14.05  																																				| (416) all_0_80_80 = e3
% 44.09/14.05  																																				|
% 44.09/14.05  																																					| Equations (416) can reduce 202 to:
% 44.09/14.05  																																					| (427)  ~ (all_0_97_97 = e3)
% 44.09/14.05  																																					|
% 44.09/14.05  																																					| Simplifying 427 yields:
% 44.09/14.05  																																					| (428)  ~ (all_0_97_97 = e3)
% 44.09/14.05  																																					|
% 44.09/14.05  																																					| Equations (416) can reduce 394 to:
% 44.09/14.05  																																					| (169)  ~ (e3 = e2)
% 44.09/14.05  																																					|
% 44.09/14.05  																																					| Equations (416) can reduce 828 to:
% 44.09/14.05  																																					| (20)  ~ (e3 = e1)
% 44.09/14.05  																																					|
% 44.09/14.05  																																					+-Applying beta-rule and splitting (108), into two cases.
% 44.09/14.05  																																					|-Branch one:
% 44.09/14.05  																																					| (477) all_0_81_81 = e1
% 44.09/14.05  																																					|
% 44.09/14.05  																																						| Combining equations (638,477) yields a new equation:
% 44.09/14.05  																																						| (813) e4 = e1
% 44.09/14.05  																																						|
% 44.09/14.05  																																						| Simplifying 813 yields:
% 44.09/14.05  																																						| (814) e4 = e1
% 44.09/14.05  																																						|
% 44.09/14.05  																																						| Equations (814) can reduce 256 to:
% 44.09/14.05  																																						| (311) $false
% 44.09/14.05  																																						|
% 44.09/14.05  																																						|-The branch is then unsatisfiable
% 44.09/14.05  																																					|-Branch two:
% 44.09/14.05  																																					| (628)  ~ (all_0_81_81 = e1)
% 44.09/14.05  																																					| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.09/14.05  																																					|
% 44.09/14.05  																																						| Equations (638) can reduce 628 to:
% 44.09/14.05  																																						| (256)  ~ (e4 = e1)
% 44.09/14.05  																																						|
% 44.09/14.05  																																						+-Applying beta-rule and splitting (132), into two cases.
% 44.09/14.05  																																						|-Branch one:
% 44.09/14.05  																																						| (750) all_0_90_90 = e1
% 44.09/14.05  																																						|
% 44.09/14.05  																																							| Combining equations (583,750) yields a new equation:
% 44.09/14.05  																																							| (813) e4 = e1
% 44.09/14.05  																																							|
% 44.09/14.05  																																							| Simplifying 813 yields:
% 44.09/14.05  																																							| (814) e4 = e1
% 44.09/14.05  																																							|
% 44.09/14.05  																																							| Equations (814) can reduce 256 to:
% 44.09/14.05  																																							| (311) $false
% 44.09/14.05  																																							|
% 44.09/14.05  																																							|-The branch is then unsatisfiable
% 44.09/14.05  																																						|-Branch two:
% 44.09/14.05  																																						| (678)  ~ (all_0_90_90 = e1)
% 44.09/14.05  																																						| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.09/14.05  																																						|
% 44.09/14.05  																																							+-Applying beta-rule and splitting (270), into two cases.
% 44.09/14.05  																																							|-Branch one:
% 44.09/14.05  																																							| (744) all_0_95_95 = e3
% 44.09/14.05  																																							|
% 44.09/14.05  																																								| Equations (744) can reduce 765 to:
% 44.09/14.05  																																								| (311) $false
% 44.09/14.05  																																								|
% 44.09/14.05  																																								|-The branch is then unsatisfiable
% 44.09/14.05  																																							|-Branch two:
% 44.09/14.05  																																							| (765)  ~ (all_0_95_95 = e3)
% 44.09/14.05  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.09/14.05  																																							|
% 44.09/14.05  																																								+-Applying beta-rule and splitting (766), into two cases.
% 44.09/14.05  																																								|-Branch one:
% 44.09/14.05  																																								| (778) all_0_96_96 = e3
% 44.09/14.05  																																								|
% 44.09/14.05  																																									| Combining equations (778,1704) yields a new equation:
% 44.09/14.05  																																									| (547) e3 = e2
% 44.09/14.05  																																									|
% 44.09/14.05  																																									| Simplifying 547 yields:
% 44.09/14.05  																																									| (548) e3 = e2
% 44.09/14.05  																																									|
% 44.09/14.05  																																									| Equations (548) can reduce 169 to:
% 44.09/14.05  																																									| (311) $false
% 44.09/14.05  																																									|
% 44.09/14.05  																																									|-The branch is then unsatisfiable
% 44.09/14.05  																																								|-Branch two:
% 44.09/14.05  																																								| (964)  ~ (all_0_96_96 = e3)
% 44.09/14.05  																																								| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.09/14.05  																																								|
% 44.09/14.05  																																									+-Applying beta-rule and splitting (965), into two cases.
% 44.09/14.05  																																									|-Branch one:
% 44.09/14.05  																																									| (556) all_0_97_97 = e3
% 44.09/14.05  																																									|
% 44.09/14.05  																																										| Equations (556) can reduce 428 to:
% 44.09/14.05  																																										| (311) $false
% 44.09/14.05  																																										|
% 44.09/14.05  																																										|-The branch is then unsatisfiable
% 44.09/14.05  																																									|-Branch two:
% 44.09/14.05  																																									| (428)  ~ (all_0_97_97 = e3)
% 44.09/14.05  																																									| (969) all_0_98_98 = e3
% 44.09/14.05  																																									|
% 44.09/14.05  																																										+-Applying beta-rule and splitting (176), into two cases.
% 44.09/14.05  																																										|-Branch one:
% 44.09/14.05  																																										| (785) all_0_95_95 = e1
% 44.09/14.05  																																										|
% 44.09/14.05  																																											| Equations (785) can reduce 680 to:
% 44.09/14.05  																																											| (311) $false
% 44.09/14.05  																																											|
% 44.09/14.05  																																											|-The branch is then unsatisfiable
% 44.09/14.05  																																										|-Branch two:
% 44.09/14.05  																																										| (680)  ~ (all_0_95_95 = e1)
% 44.09/14.05  																																										| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.09/14.05  																																										|
% 44.09/14.05  																																											+-Applying beta-rule and splitting (1526), into two cases.
% 44.09/14.05  																																											|-Branch one:
% 44.09/14.05  																																											| (801) all_0_91_91 = e1
% 44.09/14.05  																																											|
% 44.09/14.05  																																												| Combining equations (801,588) yields a new equation:
% 44.09/14.05  																																												| (772) e3 = e1
% 44.09/14.05  																																												|
% 44.09/14.05  																																												| Equations (772) can reduce 20 to:
% 44.09/14.05  																																												| (311) $false
% 44.09/14.05  																																												|
% 44.09/14.05  																																												|-The branch is then unsatisfiable
% 44.09/14.05  																																											|-Branch two:
% 44.09/14.05  																																											| (959)  ~ (all_0_91_91 = e1)
% 44.09/14.05  																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.09/14.05  																																											|
% 44.09/14.05  																																												| Equations (588) can reduce 959 to:
% 44.09/14.05  																																												| (20)  ~ (e3 = e1)
% 44.09/14.05  																																												|
% 44.09/14.05  																																												+-Applying beta-rule and splitting (788), into two cases.
% 44.09/14.05  																																												|-Branch one:
% 44.09/14.05  																																												| (960) all_0_96_96 = e1
% 44.09/14.05  																																												|
% 44.09/14.05  																																													| Combining equations (1704,960) yields a new equation:
% 44.09/14.05  																																													| (408) e2 = e1
% 44.09/14.05  																																													|
% 44.09/14.05  																																													| Simplifying 408 yields:
% 44.09/14.05  																																													| (385) e2 = e1
% 44.09/14.05  																																													|
% 44.09/14.05  																																													| Equations (385) can reduce 243 to:
% 44.09/14.05  																																													| (311) $false
% 44.09/14.05  																																													|
% 44.09/14.05  																																													|-The branch is then unsatisfiable
% 44.09/14.05  																																												|-Branch two:
% 44.09/14.05  																																												| (1479)  ~ (all_0_96_96 = e1)
% 44.09/14.05  																																												| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.09/14.05  																																												|
% 44.09/14.05  																																													+-Applying beta-rule and splitting (2126), into two cases.
% 44.09/14.05  																																													|-Branch one:
% 44.09/14.05  																																													| (542) all_0_97_97 = e1
% 44.09/14.05  																																													|
% 44.09/14.05  																																														| Equations (542) can reduce 258 to:
% 44.09/14.05  																																														| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.05  																																														|
% 44.09/14.05  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 44.09/14.05  																																														|-Branch one:
% 44.09/14.05  																																														| (836) all_0_92_92 = e1
% 44.09/14.05  																																														|
% 44.09/14.05  																																															| Equations (836) can reduce 840 to:
% 44.09/14.05  																																															| (311) $false
% 44.09/14.05  																																															|
% 44.09/14.05  																																															|-The branch is then unsatisfiable
% 44.09/14.05  																																														|-Branch two:
% 44.09/14.05  																																														| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.05  																																														| (566) all_0_93_93 = e1
% 44.09/14.05  																																														|
% 44.09/14.05  																																															| Equations (566) can reduce 481 to:
% 44.09/14.05  																																															| (311) $false
% 44.09/14.05  																																															|
% 44.09/14.05  																																															|-The branch is then unsatisfiable
% 44.09/14.05  																																													|-Branch two:
% 44.09/14.05  																																													| (486)  ~ (all_0_97_97 = e1)
% 44.09/14.05  																																													| (1543) all_0_98_98 = e1
% 44.09/14.05  																																													|
% 44.09/14.05  																																														| Combining equations (969,1543) yields a new equation:
% 44.09/14.05  																																														| (825) e3 = e1
% 44.09/14.05  																																														|
% 44.09/14.05  																																														| Simplifying 825 yields:
% 44.09/14.05  																																														| (772) e3 = e1
% 44.09/14.05  																																														|
% 44.09/14.05  																																														| Equations (772) can reduce 20 to:
% 44.09/14.05  																																														| (311) $false
% 44.09/14.05  																																														|
% 44.09/14.05  																																														|-The branch is then unsatisfiable
% 44.09/14.05  																																				|-Branch two:
% 44.09/14.05  																																				| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.05  																																				| (433) all_0_80_80 = e4
% 44.09/14.05  																																				|
% 44.09/14.05  																																					| Equations (433) can reduce 436 to:
% 44.09/14.05  																																					| (311) $false
% 44.09/14.05  																																					|
% 44.09/14.05  																																					|-The branch is then unsatisfiable
% 44.09/14.05  																																			|-Branch two:
% 44.09/14.05  																																			| (467)  ~ (all_0_90_90 = e4)
% 44.09/14.05  																																			| (894) all_0_95_95 = e4
% 44.09/14.05  																																			|
% 44.09/14.05  																																				| Equations (894) can reduce 315 to:
% 44.09/14.05  																																				| (311) $false
% 44.09/14.05  																																				|
% 44.09/14.05  																																				|-The branch is then unsatisfiable
% 44.09/14.05  																											|-Branch two:
% 44.09/14.05  																											| (793)  ~ (all_0_82_82 = e3)
% 44.09/14.05  																											| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.05  																											|
% 44.09/14.05  																												+-Applying beta-rule and splitting (1296), into two cases.
% 44.09/14.05  																												|-Branch one:
% 44.09/14.05  																												| (795) all_0_83_83 = e3
% 44.09/14.05  																												|
% 44.09/14.05  																													| Combining equations (798,795) yields a new equation:
% 44.09/14.05  																													| (600) e3 = e0
% 44.09/14.05  																													|
% 44.09/14.05  																													| Equations (600) can reduce 50 to:
% 44.09/14.05  																													| (311) $false
% 44.09/14.05  																													|
% 44.09/14.05  																													|-The branch is then unsatisfiable
% 44.09/14.05  																												|-Branch two:
% 44.09/14.05  																												| (779)  ~ (all_0_83_83 = e3)
% 44.09/14.05  																												| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.05  																												|
% 44.09/14.05  																													+-Applying beta-rule and splitting (1594), into two cases.
% 44.09/14.05  																													|-Branch one:
% 44.09/14.05  																													| (1265) all_0_84_84 = e3
% 44.09/14.05  																													|
% 44.09/14.05  																														| Combining equations (438,1265) yields a new equation:
% 44.09/14.05  																														| (790) e4 = e3
% 44.09/14.05  																														|
% 44.09/14.05  																														| Simplifying 790 yields:
% 44.09/14.05  																														| (434) e4 = e3
% 44.09/14.05  																														|
% 44.09/14.05  																														| Equations (434) can reduce 177 to:
% 44.09/14.05  																														| (311) $false
% 44.09/14.05  																														|
% 44.09/14.05  																														|-The branch is then unsatisfiable
% 44.09/14.05  																													|-Branch two:
% 44.09/14.05  																													| (422)  ~ (all_0_84_84 = e3)
% 44.09/14.05  																													| (804) all_0_85_85 = e3
% 44.09/14.05  																													|
% 44.09/14.05  																														| Combining equations (512,804) yields a new equation:
% 44.09/14.05  																														| (548) e3 = e2
% 44.09/14.05  																														|
% 44.09/14.05  																														| Equations (548) can reduce 169 to:
% 44.09/14.05  																														| (311) $false
% 44.09/14.05  																														|
% 44.09/14.05  																														|-The branch is then unsatisfiable
% 44.09/14.05  																										|-Branch two:
% 44.09/14.05  																										| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.05  																										| (493) all_0_85_85 = e4
% 44.09/14.05  																										|
% 44.09/14.05  																											| Combining equations (512,493) yields a new equation:
% 44.09/14.05  																											| (310) e4 = e2
% 44.09/14.05  																											|
% 44.09/14.05  																											| Equations (310) can reduce 79 to:
% 44.09/14.05  																											| (311) $false
% 44.09/14.05  																											|
% 44.09/14.05  																											|-The branch is then unsatisfiable
% 44.09/14.05  																				|-Branch two:
% 44.09/14.05  																				| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.05  																				| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 44.09/14.05  																				|
% 44.09/14.05  																					+-Applying beta-rule and splitting (1658), into two cases.
% 44.09/14.05  																					|-Branch one:
% 44.09/14.05  																					| (390) all_0_79_79 = e2
% 44.09/14.05  																					|
% 44.09/14.05  																						| Combining equations (457,390) yields a new equation:
% 44.09/14.05  																						| (385) e2 = e1
% 44.09/14.05  																						|
% 44.09/14.05  																						| Equations (385) can reduce 243 to:
% 44.09/14.05  																						| (311) $false
% 44.09/14.05  																						|
% 44.09/14.05  																						|-The branch is then unsatisfiable
% 44.09/14.05  																					|-Branch two:
% 44.09/14.05  																					| (1622)  ~ (all_0_79_79 = e2)
% 44.09/14.05  																					| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 44.09/14.05  																					|
% 44.09/14.05  																						+-Applying beta-rule and splitting (3249), into two cases.
% 44.09/14.05  																						|-Branch one:
% 44.09/14.05  																						| (546) all_0_80_80 = e2
% 44.09/14.05  																						|
% 44.09/14.05  																							| Equations (546) can reduce 394 to:
% 44.09/14.05  																							| (311) $false
% 44.09/14.05  																							|
% 44.09/14.05  																							|-The branch is then unsatisfiable
% 44.09/14.05  																						|-Branch two:
% 44.09/14.05  																						| (394)  ~ (all_0_80_80 = e2)
% 44.09/14.05  																						| (473) all_0_81_81 = e2
% 44.09/14.05  																						|
% 44.09/14.05  																							| Equations (473) can reduce 144 to:
% 44.09/14.05  																							| (394)  ~ (all_0_80_80 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Equations (473) can reduce 118 to:
% 44.09/14.05  																							| (691)  ~ (all_0_85_85 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Simplifying 691 yields:
% 44.09/14.05  																							| (515)  ~ (all_0_85_85 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Equations (473) can reduce 277 to:
% 44.09/14.05  																							| (299)  ~ (all_0_93_93 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Simplifying 299 yields:
% 44.09/14.05  																							| (300)  ~ (all_0_93_93 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Equations (473) can reduce 5 to:
% 44.09/14.05  																							| (1348)  ~ (all_0_98_98 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Simplifying 1348 yields:
% 44.09/14.05  																							| (1349)  ~ (all_0_98_98 = e2)
% 44.09/14.05  																							|
% 44.09/14.05  																							| Equations (473) can reduce 257 to:
% 44.09/14.05  																							| (76)  ~ (e2 = e0)
% 44.09/14.05  																							|
% 44.09/14.05  																							| From (473) and (145) follows:
% 44.09/14.05  																							| (1751) op(e0, e2) = all_0_69_69
% 44.09/14.05  																							|
% 44.09/14.05  																							+-Applying beta-rule and splitting (41), into two cases.
% 44.09/14.05  																							|-Branch one:
% 44.09/14.05  																							| (530) all_0_82_82 = e2
% 44.09/14.05  																							|
% 44.09/14.05  																								| Equations (530) can reduce 193 to:
% 44.09/14.05  																								| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 7 to:
% 44.09/14.05  																								| (1631)  ~ (all_0_84_84 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Simplifying 1631 yields:
% 44.09/14.05  																								| (612)  ~ (all_0_84_84 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 209 to:
% 44.09/14.05  																								| (691)  ~ (all_0_85_85 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Simplifying 691 yields:
% 44.09/14.05  																								| (515)  ~ (all_0_85_85 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 255 to:
% 44.09/14.05  																								| (293)  ~ (all_0_90_90 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Simplifying 293 yields:
% 44.09/14.05  																								| (294)  ~ (all_0_90_90 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 200 to:
% 44.09/14.05  																								| (354)  ~ (all_0_95_95 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Simplifying 354 yields:
% 44.09/14.05  																								| (355)  ~ (all_0_95_95 = e2)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 198 to:
% 44.09/14.05  																								| (243)  ~ (e2 = e1)
% 44.09/14.05  																								|
% 44.09/14.05  																								| Equations (530) can reduce 914 to:
% 44.09/14.05  																								| (76)  ~ (e2 = e0)
% 44.09/14.05  																								|
% 44.09/14.05  																								| From (530) and (61) follows:
% 44.09/14.05  																								| (12132) op(e3, e3) = e2
% 44.09/14.05  																								|
% 44.09/14.05  																								| Instantiating formula (262) with e0, e2, all_0_69_69, e2 and discharging atoms op(e0, e2) = all_0_69_69, op(e0, e2) = e2, yields:
% 44.09/14.06  																								| (18072) all_0_69_69 = e2
% 44.09/14.06  																								|
% 44.09/14.06  																								+-Applying beta-rule and splitting (109), into two cases.
% 44.09/14.06  																								|-Branch one:
% 44.09/14.06  																								| (469) all_0_82_82 = e4
% 44.09/14.06  																								|
% 44.09/14.06  																									| Combining equations (530,469) yields a new equation:
% 44.09/14.06  																									| (310) e4 = e2
% 44.09/14.06  																									|
% 44.09/14.06  																									| Equations (310) can reduce 79 to:
% 44.09/14.06  																									| (311) $false
% 44.09/14.06  																									|
% 44.09/14.06  																									|-The branch is then unsatisfiable
% 44.09/14.06  																								|-Branch two:
% 44.09/14.06  																								| (465)  ~ (all_0_82_82 = e4)
% 44.09/14.06  																								| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.09/14.06  																								|
% 44.09/14.06  																									| Equations (530) can reduce 465 to:
% 44.09/14.06  																									| (528)  ~ (e4 = e2)
% 44.09/14.06  																									|
% 44.09/14.06  																									| Simplifying 528 yields:
% 44.09/14.06  																									| (79)  ~ (e4 = e2)
% 44.09/14.06  																									|
% 44.09/14.06  																									+-Applying beta-rule and splitting (56), into two cases.
% 44.09/14.06  																									|-Branch one:
% 44.09/14.06  																									| (463) all_0_78_78 = e4
% 44.09/14.06  																									|
% 44.09/14.06  																										| Equations (463) can reduce 67 to:
% 44.09/14.06  																										| (1728)  ~ (all_0_80_80 = e4)
% 44.09/14.06  																										|
% 44.09/14.06  																										| Simplifying 1728 yields:
% 44.09/14.06  																										| (436)  ~ (all_0_80_80 = e4)
% 44.09/14.06  																										|
% 44.09/14.06  																										| Equations (463) can reduce 85 to:
% 44.09/14.06  																										| (466)  ~ (all_0_90_90 = e4)
% 44.09/14.06  																										|
% 44.09/14.06  																										| Simplifying 466 yields:
% 44.09/14.06  																										| (467)  ~ (all_0_90_90 = e4)
% 44.09/14.06  																										|
% 44.09/14.06  																										| From (463) and (138) follows:
% 44.09/14.06  																										| (12255) op(e3, e4) = all_0_43_43
% 44.09/14.06  																										|
% 44.09/14.06  																										+-Applying beta-rule and splitting (220), into two cases.
% 44.09/14.06  																										|-Branch one:
% 44.09/14.06  																										| (771) all_0_78_78 = e3
% 44.09/14.06  																										|
% 44.09/14.06  																											| Combining equations (771,463) yields a new equation:
% 44.09/14.06  																											| (434) e4 = e3
% 44.09/14.06  																											|
% 44.09/14.06  																											| Equations (434) can reduce 177 to:
% 44.09/14.06  																											| (311) $false
% 44.09/14.06  																											|
% 44.09/14.06  																											|-The branch is then unsatisfiable
% 44.09/14.06  																										|-Branch two:
% 44.09/14.06  																										| (418)  ~ (all_0_78_78 = e3)
% 44.09/14.06  																										| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.09/14.06  																										|
% 44.09/14.06  																											+-Applying beta-rule and splitting (775), into two cases.
% 44.09/14.06  																											|-Branch one:
% 44.09/14.06  																											| (789) all_0_82_82 = e3
% 44.09/14.06  																											|
% 44.09/14.06  																												| Combining equations (530,789) yields a new equation:
% 44.09/14.06  																												| (548) e3 = e2
% 44.09/14.06  																												|
% 44.09/14.06  																												| Equations (548) can reduce 169 to:
% 44.09/14.06  																												| (311) $false
% 44.09/14.06  																												|
% 44.09/14.06  																												|-The branch is then unsatisfiable
% 44.09/14.06  																											|-Branch two:
% 44.09/14.06  																											| (793)  ~ (all_0_82_82 = e3)
% 44.09/14.06  																											| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.09/14.06  																											|
% 44.09/14.06  																												+-Applying beta-rule and splitting (45), into two cases.
% 44.09/14.06  																												|-Branch one:
% 44.09/14.06  																												| (546) all_0_80_80 = e2
% 44.09/14.06  																												|
% 44.09/14.06  																													| Equations (546) can reduce 394 to:
% 44.09/14.06  																													| (311) $false
% 44.09/14.06  																													|
% 44.09/14.06  																													|-The branch is then unsatisfiable
% 44.09/14.06  																												|-Branch two:
% 44.09/14.06  																												| (394)  ~ (all_0_80_80 = e2)
% 44.09/14.06  																												| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.09/14.06  																												|
% 44.09/14.06  																													+-Applying beta-rule and splitting (27), into two cases.
% 44.09/14.06  																													|-Branch one:
% 44.09/14.06  																													| (746) all_0_90_90 = e2
% 44.09/14.06  																													|
% 44.09/14.06  																														| Equations (746) can reduce 294 to:
% 44.09/14.06  																														| (311) $false
% 44.09/14.06  																														|
% 44.09/14.06  																														|-The branch is then unsatisfiable
% 44.09/14.06  																													|-Branch two:
% 44.09/14.06  																													| (294)  ~ (all_0_90_90 = e2)
% 44.09/14.06  																													| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 44.09/14.06  																													|
% 44.09/14.06  																														+-Applying beta-rule and splitting (749), into two cases.
% 44.09/14.06  																														|-Branch one:
% 44.09/14.06  																														| (750) all_0_90_90 = e1
% 44.09/14.06  																														|
% 44.09/14.06  																															| Equations (750) can reduce 678 to:
% 44.09/14.06  																															| (311) $false
% 44.09/14.06  																															|
% 44.09/14.06  																															|-The branch is then unsatisfiable
% 44.09/14.06  																														|-Branch two:
% 44.09/14.06  																														| (678)  ~ (all_0_90_90 = e1)
% 44.09/14.06  																														| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 44.09/14.06  																														|
% 44.09/14.06  																															+-Applying beta-rule and splitting (753), into two cases.
% 44.09/14.06  																															|-Branch one:
% 44.09/14.06  																															| (754) all_0_90_90 = e3
% 44.09/14.06  																															|
% 44.09/14.06  																																| Equations (754) can reduce 745 to:
% 44.09/14.06  																																| (311) $false
% 44.09/14.06  																																|
% 44.09/14.06  																																|-The branch is then unsatisfiable
% 44.09/14.06  																															|-Branch two:
% 44.09/14.06  																															| (745)  ~ (all_0_90_90 = e3)
% 44.09/14.06  																															| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 44.09/14.06  																															|
% 44.09/14.06  																																+-Applying beta-rule and splitting (757), into two cases.
% 44.09/14.06  																																|-Branch one:
% 44.09/14.06  																																| (758) all_0_90_90 = e0
% 44.09/14.06  																																|
% 44.09/14.06  																																	| Equations (758) can reduce 229 to:
% 44.09/14.06  																																	| (2712)  ~ (all_0_95_95 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Simplifying 2712 yields:
% 44.09/14.06  																																	| (893)  ~ (all_0_95_95 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Equations (758) can reduce 745 to:
% 44.09/14.06  																																	| (906)  ~ (e3 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Simplifying 906 yields:
% 44.09/14.06  																																	| (50)  ~ (e3 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Equations (758) can reduce 294 to:
% 44.09/14.06  																																	| (510)  ~ (e2 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Simplifying 510 yields:
% 44.09/14.06  																																	| (76)  ~ (e2 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Equations (758) can reduce 678 to:
% 44.09/14.06  																																	| (859)  ~ (e1 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| Simplifying 859 yields:
% 44.09/14.06  																																	| (264)  ~ (e1 = e0)
% 44.09/14.06  																																	|
% 44.09/14.06  																																	| From (758) and (217) follows:
% 44.09/14.06  																																	| (13796) op(e3, e0) = all_0_48_48
% 44.09/14.06  																																	|
% 44.09/14.06  																																	+-Applying beta-rule and splitting (102), into two cases.
% 44.09/14.06  																																	|-Branch one:
% 44.09/14.06  																																	| (858) all_0_95_95 = e0
% 44.09/14.06  																																	|
% 44.09/14.06  																																		| Equations (858) can reduce 893 to:
% 44.09/14.06  																																		| (311) $false
% 44.09/14.06  																																		|
% 44.09/14.06  																																		|-The branch is then unsatisfiable
% 44.09/14.06  																																	|-Branch two:
% 44.09/14.06  																																	| (893)  ~ (all_0_95_95 = e0)
% 44.09/14.06  																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.09/14.06  																																	|
% 44.09/14.06  																																		+-Applying beta-rule and splitting (1921), into two cases.
% 44.09/14.06  																																		|-Branch one:
% 44.09/14.06  																																		| (1837) all_0_96_96 = e0
% 44.09/14.06  																																		|
% 44.09/14.06  																																			| Combining equations (1704,1837) yields a new equation:
% 44.09/14.06  																																			| (923) e2 = e0
% 44.09/14.06  																																			|
% 44.09/14.06  																																			| Simplifying 923 yields:
% 44.09/14.06  																																			| (379) e2 = e0
% 44.09/14.06  																																			|
% 44.09/14.06  																																			| Equations (379) can reduce 76 to:
% 44.09/14.06  																																			| (311) $false
% 44.09/14.06  																																			|
% 44.09/14.06  																																			|-The branch is then unsatisfiable
% 44.09/14.06  																																		|-Branch two:
% 44.09/14.06  																																		| (2095)  ~ (all_0_96_96 = e0)
% 44.09/14.06  																																		| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.09/14.06  																																		|
% 44.09/14.06  																																			+-Applying beta-rule and splitting (2096), into two cases.
% 44.09/14.06  																																			|-Branch one:
% 44.09/14.06  																																			| (560) all_0_97_97 = e0
% 44.09/14.06  																																			|
% 44.09/14.06  																																				| Equations (560) can reduce 202 to:
% 44.09/14.06  																																				| (166)  ~ (all_0_80_80 = e0)
% 44.09/14.06  																																				|
% 44.09/14.06  																																				| Equations (560) can reduce 148 to:
% 44.09/14.06  																																				| (2058)  ~ (all_0_98_98 = e0)
% 44.09/14.06  																																				|
% 44.09/14.06  																																				| Simplifying 2058 yields:
% 44.09/14.06  																																				| (2059)  ~ (all_0_98_98 = e0)
% 44.09/14.06  																																				|
% 44.09/14.06  																																				| Equations (560) can reduce 527 to:
% 44.09/14.06  																																				| (510)  ~ (e2 = e0)
% 44.09/14.06  																																				|
% 44.09/14.06  																																				| Simplifying 510 yields:
% 44.09/14.06  																																				| (76)  ~ (e2 = e0)
% 44.09/14.06  																																				|
% 44.09/14.06  																																				+-Applying beta-rule and splitting (3232), into two cases.
% 44.09/14.06  																																				|-Branch one:
% 44.09/14.06  																																				| (824) all_0_80_80 = e1
% 44.09/14.06  																																				|
% 44.09/14.06  																																					| Equations (824) can reduce 828 to:
% 44.09/14.06  																																					| (311) $false
% 44.09/14.06  																																					|
% 44.09/14.06  																																					|-The branch is then unsatisfiable
% 44.09/14.06  																																				|-Branch two:
% 44.09/14.06  																																				| (828)  ~ (all_0_80_80 = e1)
% 44.09/14.06  																																				| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.09/14.06  																																				|
% 44.09/14.06  																																					+-Applying beta-rule and splitting (176), into two cases.
% 44.09/14.06  																																					|-Branch one:
% 44.09/14.06  																																					| (785) all_0_95_95 = e1
% 44.09/14.06  																																					|
% 44.09/14.06  																																						| Equations (785) can reduce 680 to:
% 44.09/14.06  																																						| (311) $false
% 44.09/14.06  																																						|
% 44.09/14.06  																																						|-The branch is then unsatisfiable
% 44.09/14.06  																																					|-Branch two:
% 44.09/14.06  																																					| (680)  ~ (all_0_95_95 = e1)
% 44.09/14.06  																																					| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.09/14.06  																																					|
% 44.09/14.06  																																						+-Applying beta-rule and splitting (788), into two cases.
% 44.09/14.06  																																						|-Branch one:
% 44.09/14.06  																																						| (960) all_0_96_96 = e1
% 44.09/14.06  																																						|
% 44.09/14.06  																																							| Combining equations (960,1704) yields a new equation:
% 44.09/14.06  																																							| (385) e2 = e1
% 44.09/14.06  																																							|
% 44.09/14.06  																																							| Equations (385) can reduce 243 to:
% 44.09/14.06  																																							| (311) $false
% 44.09/14.06  																																							|
% 44.09/14.06  																																							|-The branch is then unsatisfiable
% 44.09/14.06  																																						|-Branch two:
% 44.09/14.06  																																						| (1479)  ~ (all_0_96_96 = e1)
% 44.09/14.06  																																						| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.09/14.06  																																						|
% 44.09/14.06  																																							+-Applying beta-rule and splitting (794), into two cases.
% 44.09/14.06  																																							|-Branch one:
% 44.09/14.06  																																							| (754) all_0_90_90 = e3
% 44.09/14.06  																																							|
% 44.09/14.06  																																								| Combining equations (754,758) yields a new equation:
% 44.09/14.06  																																								| (599) e3 = e0
% 44.09/14.06  																																								|
% 44.09/14.06  																																								| Simplifying 599 yields:
% 44.09/14.06  																																								| (600) e3 = e0
% 44.09/14.06  																																								|
% 44.09/14.06  																																								| Equations (600) can reduce 50 to:
% 44.09/14.06  																																								| (311) $false
% 44.09/14.06  																																								|
% 44.09/14.06  																																								|-The branch is then unsatisfiable
% 44.09/14.06  																																							|-Branch two:
% 44.09/14.06  																																							| (745)  ~ (all_0_90_90 = e3)
% 44.09/14.06  																																							| (744) all_0_95_95 = e3
% 44.09/14.06  																																							|
% 44.09/14.06  																																								| From (744) and (121) follows:
% 44.09/14.06  																																								| (10297) op(e3, e3) = all_0_50_50
% 44.09/14.06  																																								|
% 44.09/14.06  																																								+-Applying beta-rule and splitting (2126), into two cases.
% 44.09/14.06  																																								|-Branch one:
% 44.09/14.06  																																								| (542) all_0_97_97 = e1
% 44.09/14.06  																																								|
% 44.09/14.06  																																									| Combining equations (560,542) yields a new equation:
% 44.09/14.06  																																									| (865) e1 = e0
% 44.09/14.06  																																									|
% 44.09/14.06  																																									| Equations (865) can reduce 264 to:
% 44.09/14.06  																																									| (311) $false
% 44.09/14.06  																																									|
% 44.09/14.06  																																									|-The branch is then unsatisfiable
% 44.09/14.06  																																								|-Branch two:
% 44.09/14.06  																																								| (486)  ~ (all_0_97_97 = e1)
% 44.09/14.06  																																								| (1543) all_0_98_98 = e1
% 44.09/14.06  																																								|
% 44.09/14.06  																																									| Equations (1543) can reduce 75 to:
% 44.09/14.06  																																									| (128)  ~ (all_0_85_85 = e1)
% 44.09/14.06  																																									|
% 44.09/14.06  																																									| Equations (1543) can reduce 13 to:
% 44.09/14.06  																																									| (481)  ~ (all_0_93_93 = e1)
% 44.09/14.06  																																									|
% 44.09/14.06  																																									| Equations (1543) can reduce 2059 to:
% 44.09/14.06  																																									| (264)  ~ (e1 = e0)
% 44.09/14.06  																																									|
% 44.09/14.06  																																									+-Applying beta-rule and splitting (4018), into two cases.
% 44.09/14.06  																																									|-Branch one:
% 44.09/14.06  																																									| (416) all_0_80_80 = e3
% 44.09/14.06  																																									|
% 44.09/14.06  																																										| Equations (416) can reduce 273 to:
% 44.09/14.06  																																										| (421)  ~ (all_0_84_84 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Simplifying 421 yields:
% 44.09/14.06  																																										| (422)  ~ (all_0_84_84 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Equations (416) can reduce 49 to:
% 44.09/14.06  																																										| (425)  ~ (all_0_92_92 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Simplifying 425 yields:
% 44.09/14.06  																																										| (426)  ~ (all_0_92_92 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Equations (416) can reduce 436 to:
% 44.09/14.06  																																										| (783)  ~ (e4 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Simplifying 783 yields:
% 44.09/14.06  																																										| (177)  ~ (e4 = e3)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Equations (416) can reduce 394 to:
% 44.09/14.06  																																										| (169)  ~ (e3 = e2)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										| Equations (416) can reduce 166 to:
% 44.09/14.06  																																										| (50)  ~ (e3 = e0)
% 44.09/14.06  																																										|
% 44.09/14.06  																																										+-Applying beta-rule and splitting (250), into two cases.
% 44.09/14.06  																																										|-Branch one:
% 44.09/14.06  																																										| (635) all_0_81_81 = e3
% 44.09/14.06  																																										|
% 44.09/14.06  																																											| Combining equations (473,635) yields a new equation:
% 44.09/14.06  																																											| (548) e3 = e2
% 44.09/14.06  																																											|
% 44.09/14.06  																																											| Equations (548) can reduce 169 to:
% 44.09/14.06  																																											| (311) $false
% 44.09/14.06  																																											|
% 44.09/14.06  																																											|-The branch is then unsatisfiable
% 44.09/14.06  																																										|-Branch two:
% 44.09/14.06  																																										| (420)  ~ (all_0_81_81 = e3)
% 44.09/14.06  																																										| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.09/14.06  																																										|
% 44.09/14.06  																																											| Equations (473) can reduce 420 to:
% 44.09/14.06  																																											| (356)  ~ (e3 = e2)
% 44.09/14.06  																																											|
% 44.09/14.06  																																											| Simplifying 356 yields:
% 44.09/14.06  																																											| (169)  ~ (e3 = e2)
% 44.09/14.06  																																											|
% 44.09/14.06  																																											+-Applying beta-rule and splitting (65), into two cases.
% 44.09/14.06  																																											|-Branch one:
% 44.09/14.06  																																											| (522) all_0_93_93 = e2
% 44.09/14.06  																																											|
% 44.09/14.06  																																												| Equations (522) can reduce 300 to:
% 44.09/14.06  																																												| (311) $false
% 44.09/14.06  																																												|
% 44.09/14.06  																																												|-The branch is then unsatisfiable
% 44.09/14.06  																																											|-Branch two:
% 44.09/14.06  																																											| (300)  ~ (all_0_93_93 = e2)
% 44.09/14.06  																																											| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.09/14.06  																																											|
% 44.09/14.06  																																												+-Applying beta-rule and splitting (171), into two cases.
% 44.09/14.06  																																												|-Branch one:
% 44.09/14.06  																																												| (789) all_0_82_82 = e3
% 44.09/14.06  																																												|
% 44.09/14.06  																																													| Combining equations (530,789) yields a new equation:
% 44.09/14.06  																																													| (548) e3 = e2
% 44.09/14.06  																																													|
% 44.09/14.06  																																													| Equations (548) can reduce 169 to:
% 44.09/14.06  																																													| (311) $false
% 44.09/14.06  																																													|
% 44.09/14.06  																																													|-The branch is then unsatisfiable
% 44.09/14.06  																																												|-Branch two:
% 44.09/14.06  																																												| (793)  ~ (all_0_82_82 = e3)
% 44.09/14.06  																																												| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.06  																																												|
% 44.09/14.06  																																													+-Applying beta-rule and splitting (1296), into two cases.
% 44.09/14.06  																																													|-Branch one:
% 44.09/14.06  																																													| (795) all_0_83_83 = e3
% 44.09/14.06  																																													|
% 44.09/14.06  																																														| Combining equations (798,795) yields a new equation:
% 44.09/14.06  																																														| (600) e3 = e0
% 44.09/14.06  																																														|
% 44.09/14.06  																																														| Equations (600) can reduce 50 to:
% 44.09/14.06  																																														| (311) $false
% 44.09/14.06  																																														|
% 44.09/14.06  																																														|-The branch is then unsatisfiable
% 44.09/14.06  																																													|-Branch two:
% 44.09/14.06  																																													| (779)  ~ (all_0_83_83 = e3)
% 44.09/14.06  																																													| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.06  																																													|
% 44.09/14.06  																																														+-Applying beta-rule and splitting (132), into two cases.
% 44.09/14.06  																																														|-Branch one:
% 44.09/14.06  																																														| (750) all_0_90_90 = e1
% 44.09/14.06  																																														|
% 44.09/14.06  																																															| Combining equations (758,750) yields a new equation:
% 44.09/14.06  																																															| (865) e1 = e0
% 44.09/14.06  																																															|
% 44.09/14.06  																																															| Equations (865) can reduce 264 to:
% 44.09/14.06  																																															| (311) $false
% 44.09/14.06  																																															|
% 44.09/14.06  																																															|-The branch is then unsatisfiable
% 44.09/14.06  																																														|-Branch two:
% 44.09/14.06  																																														| (678)  ~ (all_0_90_90 = e1)
% 44.09/14.06  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.09/14.06  																																														|
% 44.09/14.06  																																															+-Applying beta-rule and splitting (92), into two cases.
% 44.09/14.06  																																															|-Branch one:
% 44.09/14.06  																																															| (552) all_0_84_84 = e2
% 44.09/14.06  																																															|
% 44.09/14.06  																																																| Equations (552) can reduce 612 to:
% 44.09/14.06  																																																| (311) $false
% 44.09/14.06  																																																|
% 44.09/14.06  																																																|-The branch is then unsatisfiable
% 44.09/14.06  																																															|-Branch two:
% 44.09/14.06  																																															| (612)  ~ (all_0_84_84 = e2)
% 44.09/14.06  																																															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.09/14.06  																																															|
% 44.09/14.06  																																																+-Applying beta-rule and splitting (1594), into two cases.
% 44.09/14.06  																																																|-Branch one:
% 44.09/14.06  																																																| (1265) all_0_84_84 = e3
% 44.09/14.06  																																																|
% 44.09/14.06  																																																	| Equations (1265) can reduce 422 to:
% 44.09/14.06  																																																	| (311) $false
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																	|-The branch is then unsatisfiable
% 44.09/14.06  																																																|-Branch two:
% 44.09/14.06  																																																| (422)  ~ (all_0_84_84 = e3)
% 44.09/14.06  																																																| (804) all_0_85_85 = e3
% 44.09/14.06  																																																|
% 44.09/14.06  																																																	| Equations (804) can reduce 154 to:
% 44.09/14.06  																																																	| (422)  ~ (all_0_84_84 = e3)
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																	| Equations (804) can reduce 128 to:
% 44.09/14.06  																																																	| (20)  ~ (e3 = e1)
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																	| From (804) and (197) follows:
% 44.09/14.06  																																																	| (811) op(e3, e3) = all_0_72_72
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																	| From (804) and (8) follows:
% 44.09/14.06  																																																	| (1048) op(e3, e0) = e3
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																	+-Applying beta-rule and splitting (472), into two cases.
% 44.09/14.06  																																																	|-Branch one:
% 44.09/14.06  																																																	| (438) all_0_84_84 = e4
% 44.09/14.06  																																																	|
% 44.09/14.06  																																																		| Combining equations (438,13664) yields a new equation:
% 44.09/14.06  																																																		| (18214) all_0_46_46 = e4
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																		| Equations (438) can reduce 87 to:
% 44.09/14.06  																																																		| (1906)  ~ (all_0_92_92 = e4)
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																		| Simplifying 1906 yields:
% 44.09/14.06  																																																		| (1619)  ~ (all_0_92_92 = e4)
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																		| Equations (438) can reduce 422 to:
% 44.09/14.06  																																																		| (177)  ~ (e4 = e3)
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																		| Equations (438) can reduce 612 to:
% 44.09/14.06  																																																		| (79)  ~ (e4 = e2)
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																		+-Applying beta-rule and splitting (1526), into two cases.
% 44.09/14.06  																																																		|-Branch one:
% 44.09/14.06  																																																		| (801) all_0_91_91 = e1
% 44.09/14.06  																																																		|
% 44.09/14.06  																																																			| Combining equations (588,801) yields a new equation:
% 44.09/14.06  																																																			| (825) e3 = e1
% 44.09/14.06  																																																			|
% 44.09/14.06  																																																			| Simplifying 825 yields:
% 44.09/14.06  																																																			| (772) e3 = e1
% 44.09/14.06  																																																			|
% 44.09/14.06  																																																			| Equations (772) can reduce 20 to:
% 44.09/14.06  																																																			| (311) $false
% 44.09/14.06  																																																			|
% 44.09/14.06  																																																			|-The branch is then unsatisfiable
% 44.09/14.06  																																																		|-Branch two:
% 44.09/14.06  																																																		| (959)  ~ (all_0_91_91 = e1)
% 44.09/14.06  																																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.09/14.06  																																																		|
% 44.09/14.07  																																																			+-Applying beta-rule and splitting (1556), into two cases.
% 44.09/14.07  																																																			|-Branch one:
% 44.09/14.07  																																																			| (836) all_0_92_92 = e1
% 44.09/14.07  																																																			|
% 44.09/14.07  																																																				| Equations (836) can reduce 283 to:
% 44.09/14.07  																																																				| (480)  ~ (all_0_93_93 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				| Simplifying 480 yields:
% 44.09/14.07  																																																				| (481)  ~ (all_0_93_93 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				| Equations (836) can reduce 1619 to:
% 44.09/14.07  																																																				| (681)  ~ (e4 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				| Simplifying 681 yields:
% 44.09/14.07  																																																				| (256)  ~ (e4 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				| Equations (836) can reduce 426 to:
% 44.09/14.07  																																																				| (683)  ~ (e3 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				| Simplifying 683 yields:
% 44.09/14.07  																																																				| (20)  ~ (e3 = e1)
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				+-Applying beta-rule and splitting (46), into two cases.
% 44.09/14.07  																																																				|-Branch one:
% 44.09/14.07  																																																				| (308) all_0_89_89 = e4
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																					| Combining equations (308,292) yields a new equation:
% 44.09/14.07  																																																					| (309) e4 = e2
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																					| Simplifying 309 yields:
% 44.09/14.07  																																																					| (310) e4 = e2
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																					| Equations (310) can reduce 79 to:
% 44.09/14.07  																																																					| (311) $false
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																					|-The branch is then unsatisfiable
% 44.09/14.07  																																																				|-Branch two:
% 44.09/14.07  																																																				| (312)  ~ (all_0_89_89 = e4)
% 44.09/14.07  																																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																					| Equations (292) can reduce 312 to:
% 44.09/14.07  																																																					| (528)  ~ (e4 = e2)
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																					| Simplifying 528 yields:
% 44.09/14.07  																																																					| (79)  ~ (e4 = e2)
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																					+-Applying beta-rule and splitting (565), into two cases.
% 44.09/14.07  																																																					|-Branch one:
% 44.09/14.07  																																																					| (566) all_0_93_93 = e1
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																						| Equations (566) can reduce 481 to:
% 44.09/14.07  																																																						| (311) $false
% 44.09/14.07  																																																						|
% 44.09/14.07  																																																						|-The branch is then unsatisfiable
% 44.09/14.07  																																																					|-Branch two:
% 44.09/14.07  																																																					| (481)  ~ (all_0_93_93 = e1)
% 44.09/14.07  																																																					| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.09/14.07  																																																					|
% 44.09/14.07  																																																						+-Applying beta-rule and splitting (168), into two cases.
% 44.09/14.07  																																																						|-Branch one:
% 44.09/14.07  																																																						| (638) all_0_81_81 = e4
% 44.09/14.07  																																																						|
% 44.09/14.07  																																																							| Combining equations (638,473) yields a new equation:
% 44.09/14.07  																																																							| (309) e4 = e2
% 44.09/14.07  																																																							|
% 44.09/14.07  																																																							| Simplifying 309 yields:
% 44.09/14.07  																																																							| (310) e4 = e2
% 44.09/14.07  																																																							|
% 44.09/14.07  																																																							| Equations (310) can reduce 79 to:
% 44.09/14.07  																																																							| (311) $false
% 44.09/14.07  																																																							|
% 44.09/14.07  																																																							|-The branch is then unsatisfiable
% 44.09/14.07  																																																						|-Branch two:
% 44.09/14.07  																																																						| (634)  ~ (all_0_81_81 = e4)
% 44.09/14.07  																																																						| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.09/14.07  																																																						|
% 44.09/14.07  																																																							+-Applying beta-rule and splitting (2559), into two cases.
% 44.09/14.07  																																																							|-Branch one:
% 44.09/14.07  																																																							| (493) all_0_85_85 = e4
% 44.09/14.07  																																																							|
% 44.09/14.07  																																																								| Combining equations (804,493) yields a new equation:
% 44.09/14.07  																																																								| (434) e4 = e3
% 44.09/14.07  																																																								|
% 44.09/14.07  																																																								| Equations (434) can reduce 177 to:
% 44.09/14.07  																																																								| (311) $false
% 44.09/14.07  																																																								|
% 44.09/14.07  																																																								|-The branch is then unsatisfiable
% 44.09/14.07  																																																							|-Branch two:
% 44.09/14.07  																																																							| (648)  ~ (all_0_85_85 = e4)
% 44.09/14.07  																																																							| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 44.09/14.07  																																																							|
% 44.09/14.07  																																																								+-Applying beta-rule and splitting (2576), into two cases.
% 44.09/14.07  																																																								|-Branch one:
% 44.09/14.07  																																																								| (607) all_0_93_93 = e4
% 44.09/14.07  																																																								|
% 44.09/14.07  																																																									| Equations (607) can reduce 300 to:
% 44.09/14.07  																																																									| (79)  ~ (e4 = e2)
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Equations (607) can reduce 481 to:
% 44.09/14.07  																																																									| (256)  ~ (e4 = e1)
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 44.09/14.07  																																																									| (12276) all_0_43_43 = e1
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Instantiating formula (262) with e3, e3, all_0_50_50, e2 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e2, yields:
% 44.09/14.07  																																																									| (13437) all_0_50_50 = e2
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Instantiating formula (262) with e3, e3, all_0_72_72, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = all_0_72_72, yields:
% 44.09/14.07  																																																									| (18260) all_0_50_50 = all_0_72_72
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Instantiating formula (262) with e3, e0, e3, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e3, yields:
% 44.09/14.07  																																																									| (10304) all_0_48_48 = e3
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Combining equations (13437,18260) yields a new equation:
% 44.09/14.07  																																																									| (18262) all_0_72_72 = e2
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Combining equations (18262,18260) yields a new equation:
% 44.09/14.07  																																																									| (13437) all_0_50_50 = e2
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									+-Applying beta-rule and splitting (186), into two cases.
% 44.09/14.07  																																																									|-Branch one:
% 44.09/14.07  																																																									| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																										+-Applying beta-rule and splitting (726), into two cases.
% 44.09/14.07  																																																										|-Branch one:
% 44.09/14.07  																																																										| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																											+-Applying beta-rule and splitting (727), into two cases.
% 44.09/14.07  																																																											|-Branch one:
% 44.09/14.07  																																																											| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 44.09/14.07  																																																											|
% 44.09/14.07  																																																												| Applying alpha-rule on (728) yields:
% 44.09/14.07  																																																												| (729) all_0_43_43 = e4
% 44.09/14.07  																																																												| (730)  ~ (all_0_44_44 = e3)
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Combining equations (729,12276) yields a new equation:
% 44.09/14.07  																																																												| (813) e4 = e1
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Simplifying 813 yields:
% 44.09/14.07  																																																												| (814) e4 = e1
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Equations (814) can reduce 256 to:
% 44.09/14.07  																																																												| (311) $false
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												|-The branch is then unsatisfiable
% 44.09/14.07  																																																											|-Branch two:
% 44.09/14.07  																																																											| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 44.09/14.07  																																																											|
% 44.09/14.07  																																																												| Applying alpha-rule on (734) yields:
% 44.09/14.07  																																																												| (735) all_0_46_46 = e2
% 44.09/14.07  																																																												| (736)  ~ (all_0_47_47 = e3)
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Combining equations (18214,735) yields a new equation:
% 44.09/14.07  																																																												| (309) e4 = e2
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Simplifying 309 yields:
% 44.09/14.07  																																																												| (310) e4 = e2
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												| Equations (310) can reduce 79 to:
% 44.09/14.07  																																																												| (311) $false
% 44.09/14.07  																																																												|
% 44.09/14.07  																																																												|-The branch is then unsatisfiable
% 44.09/14.07  																																																										|-Branch two:
% 44.09/14.07  																																																										| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																											| Applying alpha-rule on (740) yields:
% 44.09/14.07  																																																											| (741) all_0_48_48 = e1
% 44.09/14.07  																																																											| (742)  ~ (all_0_49_49 = e3)
% 44.09/14.07  																																																											|
% 44.09/14.07  																																																											| Combining equations (741,10304) yields a new equation:
% 44.09/14.07  																																																											| (772) e3 = e1
% 44.09/14.07  																																																											|
% 44.09/14.07  																																																											| Equations (772) can reduce 20 to:
% 44.09/14.07  																																																											| (311) $false
% 44.09/14.07  																																																											|
% 44.09/14.07  																																																											|-The branch is then unsatisfiable
% 44.09/14.07  																																																									|-Branch two:
% 44.09/14.07  																																																									| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																										| Applying alpha-rule on (973) yields:
% 44.09/14.07  																																																										| (974) all_0_50_50 = e0
% 44.09/14.07  																																																										| (975)  ~ (all_0_51_51 = e3)
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																										| Combining equations (13437,974) yields a new equation:
% 44.09/14.07  																																																										| (923) e2 = e0
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																										| Simplifying 923 yields:
% 44.09/14.07  																																																										| (379) e2 = e0
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																										| Equations (379) can reduce 76 to:
% 44.09/14.07  																																																										| (311) $false
% 44.09/14.07  																																																										|
% 44.09/14.07  																																																										|-The branch is then unsatisfiable
% 44.09/14.07  																																																								|-Branch two:
% 44.09/14.07  																																																								| (496)  ~ (all_0_93_93 = e4)
% 44.09/14.07  																																																								| (2650) all_0_98_98 = e4
% 44.09/14.07  																																																								|
% 44.09/14.07  																																																									| Combining equations (1543,2650) yields a new equation:
% 44.09/14.07  																																																									| (814) e4 = e1
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									| Equations (814) can reduce 256 to:
% 44.09/14.07  																																																									| (311) $false
% 44.09/14.07  																																																									|
% 44.09/14.07  																																																									|-The branch is then unsatisfiable
% 44.09/14.07  																																																			|-Branch two:
% 44.09/14.07  																																																			| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.07  																																																			| (566) all_0_93_93 = e1
% 44.09/14.07  																																																			|
% 44.09/14.07  																																																				| Equations (566) can reduce 481 to:
% 44.09/14.07  																																																				| (311) $false
% 44.09/14.07  																																																				|
% 44.09/14.07  																																																				|-The branch is then unsatisfiable
% 44.09/14.07  																																																	|-Branch two:
% 44.09/14.07  																																																	| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.07  																																																	| (493) all_0_85_85 = e4
% 44.09/14.07  																																																	|
% 44.09/14.07  																																																		| Combining equations (804,493) yields a new equation:
% 44.09/14.07  																																																		| (434) e4 = e3
% 44.09/14.07  																																																		|
% 44.09/14.07  																																																		| Equations (434) can reduce 177 to:
% 44.09/14.07  																																																		| (311) $false
% 44.09/14.07  																																																		|
% 44.09/14.07  																																																		|-The branch is then unsatisfiable
% 44.09/14.07  																																									|-Branch two:
% 44.09/14.07  																																									| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.07  																																									| (433) all_0_80_80 = e4
% 44.09/14.07  																																									|
% 44.09/14.07  																																										| Equations (433) can reduce 436 to:
% 44.09/14.07  																																										| (311) $false
% 44.09/14.07  																																										|
% 44.09/14.07  																																										|-The branch is then unsatisfiable
% 44.09/14.07  																																			|-Branch two:
% 44.09/14.07  																																			| (609)  ~ (all_0_97_97 = e0)
% 44.09/14.07  																																			| (1121) all_0_98_98 = e0
% 44.09/14.07  																																			|
% 44.09/14.07  																																				| Equations (1121) can reduce 2059 to:
% 44.09/14.07  																																				| (311) $false
% 44.09/14.07  																																				|
% 44.09/14.07  																																				|-The branch is then unsatisfiable
% 44.09/14.08  																																|-Branch two:
% 44.09/14.08  																																| (762)  ~ (all_0_90_90 = e0)
% 44.09/14.08  																																| (583) all_0_90_90 = e4
% 44.09/14.08  																																|
% 44.09/14.08  																																	| Equations (583) can reduce 467 to:
% 44.09/14.08  																																	| (311) $false
% 44.09/14.08  																																	|
% 44.09/14.08  																																	|-The branch is then unsatisfiable
% 44.09/14.08  																									|-Branch two:
% 44.09/14.08  																									| (640)  ~ (all_0_78_78 = e4)
% 44.09/14.08  																									| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.09/14.08  																									|
% 44.09/14.08  																										+-Applying beta-rule and splitting (24), into two cases.
% 44.09/14.08  																										|-Branch one:
% 44.09/14.08  																										| (400) all_0_78_78 = e2
% 44.09/14.08  																										|
% 44.09/14.08  																											| Equations (400) can reduce 346 to:
% 44.09/14.08  																											| (311) $false
% 44.09/14.08  																											|
% 44.09/14.08  																											|-The branch is then unsatisfiable
% 44.09/14.08  																										|-Branch two:
% 44.09/14.08  																										| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.08  																										| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.09/14.08  																										|
% 44.09/14.08  																											+-Applying beta-rule and splitting (4), into two cases.
% 44.09/14.08  																											|-Branch one:
% 44.09/14.08  																											| (463) all_0_78_78 = e4
% 44.09/14.08  																											|
% 44.09/14.08  																												| Equations (463) can reduce 640 to:
% 44.09/14.08  																												| (311) $false
% 44.09/14.08  																												|
% 44.09/14.08  																												|-The branch is then unsatisfiable
% 44.09/14.08  																											|-Branch two:
% 44.09/14.08  																											| (640)  ~ (all_0_78_78 = e4)
% 44.09/14.08  																											| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.09/14.08  																											|
% 44.09/14.08  																												+-Applying beta-rule and splitting (641), into two cases.
% 44.09/14.08  																												|-Branch one:
% 44.09/14.08  																												| (433) all_0_80_80 = e4
% 44.09/14.08  																												|
% 44.09/14.08  																													| Equations (433) can reduce 273 to:
% 44.09/14.08  																													| (662)  ~ (all_0_84_84 = e4)
% 44.09/14.08  																													|
% 44.09/14.08  																													| Simplifying 662 yields:
% 44.09/14.08  																													| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.08  																													|
% 44.09/14.08  																													| Equations (433) can reduce 394 to:
% 44.09/14.08  																													| (79)  ~ (e4 = e2)
% 44.09/14.08  																													|
% 44.09/14.08  																													+-Applying beta-rule and splitting (3625), into two cases.
% 44.09/14.08  																													|-Branch one:
% 44.09/14.08  																													| (469) all_0_82_82 = e4
% 44.09/14.08  																													|
% 44.09/14.08  																														| Combining equations (530,469) yields a new equation:
% 44.09/14.08  																														| (310) e4 = e2
% 44.09/14.08  																														|
% 44.09/14.08  																														| Equations (310) can reduce 79 to:
% 44.09/14.08  																														| (311) $false
% 44.09/14.08  																														|
% 44.09/14.08  																														|-The branch is then unsatisfiable
% 44.09/14.08  																													|-Branch two:
% 44.09/14.08  																													| (465)  ~ (all_0_82_82 = e4)
% 44.09/14.08  																													| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.09/14.08  																													|
% 44.09/14.08  																														+-Applying beta-rule and splitting (106), into two cases.
% 44.09/14.08  																														|-Branch one:
% 44.09/14.08  																														| (771) all_0_78_78 = e3
% 44.09/14.08  																														|
% 44.09/14.08  																															| Equations (771) can reduce 346 to:
% 44.09/14.08  																															| (169)  ~ (e3 = e2)
% 44.09/14.08  																															|
% 44.09/14.08  																															+-Applying beta-rule and splitting (472), into two cases.
% 44.09/14.08  																															|-Branch one:
% 44.09/14.08  																															| (438) all_0_84_84 = e4
% 44.09/14.08  																															|
% 44.09/14.08  																																| Equations (438) can reduce 417 to:
% 44.09/14.08  																																| (311) $false
% 44.09/14.08  																																|
% 44.09/14.08  																																|-The branch is then unsatisfiable
% 44.09/14.08  																															|-Branch two:
% 44.09/14.08  																															| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.08  																															| (493) all_0_85_85 = e4
% 44.09/14.08  																															|
% 44.09/14.08  																																| Equations (493) can reduce 154 to:
% 44.09/14.08  																																| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.08  																																|
% 44.09/14.08  																																| Equations (493) can reduce 75 to:
% 44.09/14.08  																																| (320)  ~ (all_0_98_98 = e4)
% 44.09/14.08  																																|
% 44.09/14.08  																																| Simplifying 320 yields:
% 44.09/14.08  																																| (321)  ~ (all_0_98_98 = e4)
% 44.09/14.08  																																|
% 44.09/14.08  																																| Equations (493) can reduce 515 to:
% 44.09/14.08  																																| (79)  ~ (e4 = e2)
% 44.09/14.08  																																|
% 44.09/14.08  																																| Equations (493) can reduce 800 to:
% 44.09/14.08  																																| (23)  ~ (e4 = e0)
% 44.09/14.08  																																|
% 44.09/14.08  																																| From (493) and (26) follows:
% 44.09/14.08  																																| (2742) op(e0, e4) = all_0_71_71
% 44.09/14.08  																																|
% 44.09/14.08  																																+-Applying beta-rule and splitting (99), into two cases.
% 44.09/14.08  																																|-Branch one:
% 44.09/14.08  																																| (767) all_0_95_95 = e2
% 44.09/14.08  																																|
% 44.09/14.08  																																	| Equations (767) can reduce 355 to:
% 44.09/14.08  																																	| (311) $false
% 44.09/14.08  																																	|
% 44.09/14.08  																																	|-The branch is then unsatisfiable
% 44.09/14.08  																																|-Branch two:
% 44.09/14.08  																																| (355)  ~ (all_0_95_95 = e2)
% 44.09/14.08  																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 44.09/14.08  																																|
% 44.09/14.08  																																	+-Applying beta-rule and splitting (46), into two cases.
% 44.09/14.08  																																	|-Branch one:
% 44.09/14.08  																																	| (308) all_0_89_89 = e4
% 44.09/14.08  																																	|
% 44.09/14.08  																																		| Combining equations (292,308) yields a new equation:
% 44.09/14.08  																																		| (310) e4 = e2
% 44.09/14.08  																																		|
% 44.09/14.08  																																		| Equations (310) can reduce 79 to:
% 44.09/14.08  																																		| (311) $false
% 44.09/14.08  																																		|
% 44.09/14.08  																																		|-The branch is then unsatisfiable
% 44.09/14.08  																																	|-Branch two:
% 44.09/14.08  																																	| (312)  ~ (all_0_89_89 = e4)
% 44.09/14.08  																																	| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.09/14.08  																																	|
% 44.09/14.08  																																		+-Applying beta-rule and splitting (1915), into two cases.
% 44.09/14.08  																																		|-Branch one:
% 44.09/14.08  																																		| (583) all_0_90_90 = e4
% 44.09/14.08  																																		|
% 44.09/14.08  																																			| Equations (583) can reduce 34 to:
% 44.09/14.08  																																			| (495)  ~ (all_0_93_93 = e4)
% 44.09/14.08  																																			|
% 44.09/14.08  																																			| Simplifying 495 yields:
% 44.09/14.08  																																			| (496)  ~ (all_0_93_93 = e4)
% 44.09/14.08  																																			|
% 44.09/14.08  																																			| Equations (583) can reduce 294 to:
% 44.09/14.08  																																			| (79)  ~ (e4 = e2)
% 44.09/14.08  																																			|
% 44.09/14.08  																																			+-Applying beta-rule and splitting (254), into two cases.
% 44.09/14.08  																																			|-Branch one:
% 44.09/14.08  																																			| (910) all_0_82_82 = e0
% 44.09/14.08  																																			|
% 44.09/14.08  																																				| Combining equations (530,910) yields a new equation:
% 44.09/14.08  																																				| (923) e2 = e0
% 44.09/14.08  																																				|
% 44.09/14.08  																																				| Simplifying 923 yields:
% 44.09/14.08  																																				| (379) e2 = e0
% 44.09/14.08  																																				|
% 44.09/14.08  																																				| Equations (379) can reduce 76 to:
% 44.09/14.08  																																				| (311) $false
% 44.09/14.08  																																				|
% 44.09/14.08  																																				|-The branch is then unsatisfiable
% 44.09/14.08  																																			|-Branch two:
% 44.09/14.08  																																			| (914)  ~ (all_0_82_82 = e0)
% 44.09/14.08  																																			| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.09/14.08  																																			|
% 44.09/14.08  																																				+-Applying beta-rule and splitting (291), into two cases.
% 44.09/14.08  																																				|-Branch one:
% 44.09/14.08  																																				| (758) all_0_90_90 = e0
% 44.09/14.08  																																				|
% 44.09/14.08  																																					| Combining equations (758,583) yields a new equation:
% 44.09/14.08  																																					| (912) e4 = e0
% 44.09/14.08  																																					|
% 44.09/14.08  																																					| Equations (912) can reduce 23 to:
% 44.09/14.08  																																					| (311) $false
% 44.09/14.08  																																					|
% 44.09/14.08  																																					|-The branch is then unsatisfiable
% 44.09/14.08  																																				|-Branch two:
% 44.09/14.08  																																				| (762)  ~ (all_0_90_90 = e0)
% 44.09/14.08  																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.09/14.08  																																				|
% 44.09/14.08  																																					+-Applying beta-rule and splitting (171), into two cases.
% 44.09/14.08  																																					|-Branch one:
% 44.09/14.08  																																					| (789) all_0_82_82 = e3
% 44.09/14.08  																																					|
% 44.09/14.08  																																						| Combining equations (530,789) yields a new equation:
% 44.09/14.08  																																						| (548) e3 = e2
% 44.09/14.08  																																						|
% 44.09/14.08  																																						| Equations (548) can reduce 169 to:
% 44.09/14.08  																																						| (311) $false
% 44.09/14.08  																																						|
% 44.09/14.08  																																						|-The branch is then unsatisfiable
% 44.09/14.08  																																					|-Branch two:
% 44.09/14.08  																																					| (793)  ~ (all_0_82_82 = e3)
% 44.09/14.08  																																					| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.08  																																					|
% 44.09/14.08  																																						| Equations (530) can reduce 793 to:
% 44.09/14.08  																																						| (356)  ~ (e3 = e2)
% 44.09/14.08  																																						|
% 44.09/14.08  																																						| Simplifying 356 yields:
% 44.09/14.08  																																						| (169)  ~ (e3 = e2)
% 44.09/14.08  																																						|
% 44.09/14.08  																																						+-Applying beta-rule and splitting (92), into two cases.
% 44.09/14.08  																																						|-Branch one:
% 44.09/14.08  																																						| (552) all_0_84_84 = e2
% 44.09/14.08  																																						|
% 44.09/14.08  																																							| Equations (552) can reduce 612 to:
% 44.09/14.08  																																							| (311) $false
% 44.09/14.08  																																							|
% 44.09/14.08  																																							|-The branch is then unsatisfiable
% 44.09/14.08  																																						|-Branch two:
% 44.09/14.08  																																						| (612)  ~ (all_0_84_84 = e2)
% 44.09/14.08  																																						| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.09/14.08  																																						|
% 44.09/14.08  																																							+-Applying beta-rule and splitting (65), into two cases.
% 44.09/14.08  																																							|-Branch one:
% 44.09/14.08  																																							| (522) all_0_93_93 = e2
% 44.09/14.08  																																							|
% 44.09/14.08  																																								| Equations (522) can reduce 300 to:
% 44.09/14.08  																																								| (311) $false
% 44.09/14.08  																																								|
% 44.09/14.08  																																								|-The branch is then unsatisfiable
% 44.09/14.08  																																							|-Branch two:
% 44.09/14.08  																																							| (300)  ~ (all_0_93_93 = e2)
% 44.09/14.08  																																							| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.09/14.08  																																							|
% 44.09/14.08  																																								+-Applying beta-rule and splitting (250), into two cases.
% 44.09/14.08  																																								|-Branch one:
% 44.09/14.08  																																								| (635) all_0_81_81 = e3
% 44.09/14.08  																																								|
% 44.09/14.08  																																									| Combining equations (473,635) yields a new equation:
% 44.09/14.08  																																									| (548) e3 = e2
% 44.09/14.08  																																									|
% 44.09/14.08  																																									| Equations (548) can reduce 169 to:
% 44.09/14.08  																																									| (311) $false
% 44.09/14.08  																																									|
% 44.09/14.08  																																									|-The branch is then unsatisfiable
% 44.09/14.08  																																								|-Branch two:
% 44.09/14.08  																																								| (420)  ~ (all_0_81_81 = e3)
% 44.09/14.08  																																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.09/14.08  																																								|
% 44.09/14.08  																																									+-Applying beta-rule and splitting (617), into two cases.
% 44.09/14.08  																																									|-Branch one:
% 44.09/14.08  																																									| (1265) all_0_84_84 = e3
% 44.09/14.08  																																									|
% 44.09/14.08  																																										| Equations (1265) can reduce 87 to:
% 44.09/14.08  																																										| (425)  ~ (all_0_92_92 = e3)
% 44.09/14.08  																																										|
% 44.09/14.08  																																										| Simplifying 425 yields:
% 44.09/14.08  																																										| (426)  ~ (all_0_92_92 = e3)
% 44.09/14.08  																																										|
% 44.09/14.08  																																										| Equations (1265) can reduce 417 to:
% 44.09/14.08  																																										| (783)  ~ (e4 = e3)
% 44.09/14.08  																																										|
% 44.09/14.08  																																										| Simplifying 783 yields:
% 44.09/14.08  																																										| (177)  ~ (e4 = e3)
% 44.09/14.08  																																										|
% 44.09/14.08  																																										+-Applying beta-rule and splitting (4488), into two cases.
% 44.09/14.08  																																										|-Branch one:
% 44.09/14.08  																																										| (804) all_0_85_85 = e3
% 44.09/14.08  																																										|
% 44.09/14.08  																																											| Combining equations (493,804) yields a new equation:
% 44.09/14.08  																																											| (790) e4 = e3
% 44.09/14.08  																																											|
% 44.09/14.08  																																											| Simplifying 790 yields:
% 44.09/14.08  																																											| (434) e4 = e3
% 44.09/14.08  																																											|
% 44.09/14.08  																																											| Equations (434) can reduce 177 to:
% 44.09/14.08  																																											| (311) $false
% 44.09/14.08  																																											|
% 44.09/14.08  																																											|-The branch is then unsatisfiable
% 44.09/14.08  																																										|-Branch two:
% 44.09/14.08  																																										| (952)  ~ (all_0_85_85 = e3)
% 44.09/14.08  																																										| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.09/14.08  																																										|
% 44.09/14.08  																																											+-Applying beta-rule and splitting (4559), into two cases.
% 44.09/14.08  																																											|-Branch one:
% 44.09/14.08  																																											| (570) all_0_93_93 = e3
% 44.09/14.08  																																											|
% 44.09/14.08  																																												| Equations (570) can reduce 602 to:
% 44.09/14.08  																																												| (311) $false
% 44.09/14.08  																																												|
% 44.09/14.08  																																												|-The branch is then unsatisfiable
% 44.09/14.08  																																											|-Branch two:
% 44.09/14.08  																																											| (602)  ~ (all_0_93_93 = e3)
% 44.09/14.08  																																											| (969) all_0_98_98 = e3
% 44.09/14.08  																																											|
% 44.09/14.08  																																												| Combining equations (969,1370) yields a new equation:
% 44.09/14.08  																																												| (17845) all_0_73_73 = e3
% 44.09/14.08  																																												|
% 44.09/14.08  																																												| Equations (969) can reduce 13 to:
% 44.09/14.08  																																												| (602)  ~ (all_0_93_93 = e3)
% 44.09/14.08  																																												|
% 44.09/14.08  																																												| Equations (969) can reduce 321 to:
% 44.09/14.08  																																												| (783)  ~ (e4 = e3)
% 44.09/14.08  																																												|
% 44.09/14.08  																																												| Simplifying 783 yields:
% 44.09/14.08  																																												| (177)  ~ (e4 = e3)
% 44.09/14.08  																																												|
% 44.09/14.08  																																												| Equations (969) can reduce 1349 to:
% 44.09/14.08  																																												| (169)  ~ (e3 = e2)
% 44.09/14.08  																																												|
% 44.09/14.08  																																												| Equations (969) can reduce 2059 to:
% 44.09/14.08  																																												| (50)  ~ (e3 = e0)
% 44.09/14.08  																																												|
% 44.09/14.08  																																												+-Applying beta-rule and splitting (565), into two cases.
% 44.09/14.08  																																												|-Branch one:
% 44.09/14.08  																																												| (566) all_0_93_93 = e1
% 44.09/14.08  																																												|
% 44.09/14.08  																																													| Equations (566) can reduce 283 to:
% 44.09/14.08  																																													| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| Equations (566) can reduce 496 to:
% 44.09/14.08  																																													| (681)  ~ (e4 = e1)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| Simplifying 681 yields:
% 44.09/14.08  																																													| (256)  ~ (e4 = e1)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| Equations (566) can reduce 300 to:
% 44.09/14.08  																																													| (487)  ~ (e2 = e1)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| Simplifying 487 yields:
% 44.09/14.08  																																													| (243)  ~ (e2 = e1)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| Equations (566) can reduce 509 to:
% 44.09/14.08  																																													| (264)  ~ (e1 = e0)
% 44.09/14.08  																																													|
% 44.09/14.08  																																													| From (566) and (21) follows:
% 44.09/14.08  																																													| (14721) op(e1, e1) = all_0_76_76
% 44.09/14.08  																																													|
% 44.09/14.08  																																													+-Applying beta-rule and splitting (119), into two cases.
% 44.09/14.08  																																													|-Branch one:
% 44.09/14.08  																																													| (1343) all_0_92_92 = e2
% 44.09/14.08  																																													|
% 44.09/14.08  																																														| Equations (1343) can reduce 298 to:
% 44.09/14.08  																																														| (311) $false
% 44.09/14.08  																																														|
% 44.09/14.08  																																														|-The branch is then unsatisfiable
% 44.09/14.08  																																													|-Branch two:
% 44.09/14.08  																																													| (298)  ~ (all_0_92_92 = e2)
% 44.09/14.08  																																													| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.09/14.08  																																													|
% 44.09/14.08  																																														+-Applying beta-rule and splitting (915), into two cases.
% 44.09/14.08  																																														|-Branch one:
% 44.09/14.08  																																														| (378) all_0_86_86 = e0
% 44.09/14.08  																																														|
% 44.09/14.08  																																															| Combining equations (378,384) yields a new equation:
% 44.09/14.08  																																															| (865) e1 = e0
% 44.09/14.08  																																															|
% 44.09/14.08  																																															| Equations (865) can reduce 264 to:
% 44.09/14.08  																																															| (311) $false
% 44.09/14.08  																																															|
% 44.09/14.08  																																															|-The branch is then unsatisfiable
% 44.09/14.08  																																														|-Branch two:
% 44.09/14.08  																																														| (381)  ~ (all_0_86_86 = e0)
% 44.09/14.08  																																														| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.09/14.08  																																														|
% 44.09/14.08  																																															| Equations (384) can reduce 381 to:
% 44.09/14.08  																																															| (264)  ~ (e1 = e0)
% 44.09/14.08  																																															|
% 44.09/14.08  																																															+-Applying beta-rule and splitting (151), into two cases.
% 44.09/14.08  																																															|-Branch one:
% 44.09/14.08  																																															| (824) all_0_80_80 = e1
% 44.09/14.08  																																															|
% 44.09/14.08  																																																| Combining equations (824,433) yields a new equation:
% 44.09/14.08  																																																| (814) e4 = e1
% 44.09/14.08  																																																|
% 44.09/14.08  																																																| Equations (814) can reduce 256 to:
% 44.09/14.08  																																																| (311) $false
% 44.09/14.08  																																																|
% 44.09/14.08  																																																|-The branch is then unsatisfiable
% 44.09/14.08  																																															|-Branch two:
% 44.09/14.08  																																															| (828)  ~ (all_0_80_80 = e1)
% 44.09/14.08  																																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.09/14.08  																																															|
% 44.09/14.08  																																																+-Applying beta-rule and splitting (3735), into two cases.
% 44.09/14.08  																																																|-Branch one:
% 44.09/14.08  																																																| (836) all_0_92_92 = e1
% 44.09/14.08  																																																|
% 44.09/14.08  																																																	| Equations (836) can reduce 840 to:
% 44.09/14.08  																																																	| (311) $false
% 44.09/14.08  																																																	|
% 44.09/14.08  																																																	|-The branch is then unsatisfiable
% 44.09/14.08  																																																|-Branch two:
% 44.09/14.08  																																																| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.08  																																																| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 44.09/14.08  																																																|
% 44.09/14.08  																																																	+-Applying beta-rule and splitting (3800), into two cases.
% 44.09/14.08  																																																	|-Branch one:
% 44.09/14.08  																																																	| (882) all_0_92_92 = e3
% 44.09/14.08  																																																	|
% 44.09/14.08  																																																		| Equations (882) can reduce 426 to:
% 44.09/14.08  																																																		| (311) $false
% 44.09/14.08  																																																		|
% 44.09/14.08  																																																		|-The branch is then unsatisfiable
% 44.09/14.08  																																																	|-Branch two:
% 44.09/14.08  																																																	| (426)  ~ (all_0_92_92 = e3)
% 44.09/14.08  																																																	| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 44.09/14.08  																																																	|
% 44.09/14.08  																																																		+-Applying beta-rule and splitting (176), into two cases.
% 44.09/14.08  																																																		|-Branch one:
% 44.09/14.08  																																																		| (785) all_0_95_95 = e1
% 44.09/14.08  																																																		|
% 44.09/14.08  																																																			| Equations (785) can reduce 680 to:
% 44.09/14.08  																																																			| (311) $false
% 44.09/14.08  																																																			|
% 44.09/14.08  																																																			|-The branch is then unsatisfiable
% 44.09/14.08  																																																		|-Branch two:
% 44.09/14.08  																																																		| (680)  ~ (all_0_95_95 = e1)
% 44.09/14.08  																																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.09/14.08  																																																		|
% 44.09/14.08  																																																			+-Applying beta-rule and splitting (770), into two cases.
% 44.09/14.08  																																																			|-Branch one:
% 44.09/14.08  																																																			| (785) all_0_95_95 = e1
% 44.09/14.08  																																																			|
% 44.09/14.08  																																																				| Equations (785) can reduce 680 to:
% 44.09/14.08  																																																				| (311) $false
% 44.09/14.08  																																																				|
% 44.09/14.08  																																																				|-The branch is then unsatisfiable
% 44.09/14.08  																																																			|-Branch two:
% 44.09/14.08  																																																			| (680)  ~ (all_0_95_95 = e1)
% 44.09/14.08  																																																			| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 44.09/14.08  																																																			|
% 44.09/14.08  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 44.09/14.08  																																																				|-Branch one:
% 44.09/14.08  																																																				| (1456) all_0_91_91 = e0
% 44.09/14.08  																																																				|
% 44.09/14.08  																																																					| Combining equations (588,1456) yields a new equation:
% 44.09/14.08  																																																					| (599) e3 = e0
% 44.09/14.08  																																																					|
% 44.09/14.08  																																																					| Simplifying 599 yields:
% 44.09/14.08  																																																					| (600) e3 = e0
% 44.09/14.08  																																																					|
% 44.09/14.08  																																																					| Equations (600) can reduce 50 to:
% 44.09/14.08  																																																					| (311) $false
% 44.09/14.08  																																																					|
% 44.09/14.08  																																																					|-The branch is then unsatisfiable
% 44.09/14.08  																																																				|-Branch two:
% 44.09/14.08  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 44.09/14.08  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.09/14.08  																																																				|
% 44.09/14.08  																																																					+-Applying beta-rule and splitting (829), into two cases.
% 44.09/14.08  																																																					|-Branch one:
% 44.09/14.08  																																																					| (482) all_0_87_87 = e1
% 44.09/14.08  																																																					|
% 44.09/14.08  																																																						| Combining equations (374,482) yields a new equation:
% 44.09/14.08  																																																						| (408) e2 = e1
% 44.09/14.08  																																																						|
% 44.09/14.08  																																																						| Simplifying 408 yields:
% 44.09/14.08  																																																						| (385) e2 = e1
% 44.09/14.08  																																																						|
% 44.09/14.08  																																																						| Equations (385) can reduce 243 to:
% 44.09/14.08  																																																						| (311) $false
% 44.09/14.08  																																																						|
% 44.09/14.08  																																																						|-The branch is then unsatisfiable
% 44.09/14.08  																																																					|-Branch two:
% 44.09/14.08  																																																					| (625)  ~ (all_0_87_87 = e1)
% 44.09/14.08  																																																					| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.09/14.08  																																																					|
% 44.09/14.08  																																																						+-Applying beta-rule and splitting (1488), into two cases.
% 44.09/14.08  																																																						|-Branch one:
% 44.09/14.08  																																																						| (942) all_0_92_92 = e0
% 44.09/14.08  																																																						|
% 44.09/14.08  																																																							| Equations (942) can reduce 258 to:
% 44.09/14.08  																																																							| (938)  ~ (all_0_97_97 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| Simplifying 938 yields:
% 44.09/14.08  																																																							| (609)  ~ (all_0_97_97 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| Equations (942) can reduce 426 to:
% 44.09/14.08  																																																							| (906)  ~ (e3 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| Simplifying 906 yields:
% 44.09/14.08  																																																							| (50)  ~ (e3 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| Equations (942) can reduce 298 to:
% 44.09/14.08  																																																							| (510)  ~ (e2 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| Simplifying 510 yields:
% 44.09/14.08  																																																							| (76)  ~ (e2 = e0)
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							| From (942) and (135) follows:
% 44.09/14.08  																																																							| (4548) op(e1, e1) = e0
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																							+-Applying beta-rule and splitting (102), into two cases.
% 44.09/14.08  																																																							|-Branch one:
% 44.09/14.08  																																																							| (858) all_0_95_95 = e0
% 44.09/14.08  																																																							|
% 44.09/14.08  																																																								| Equations (858) can reduce 680 to:
% 44.09/14.08  																																																								| (859)  ~ (e1 = e0)
% 44.09/14.08  																																																								|
% 44.09/14.08  																																																								| Simplifying 859 yields:
% 44.09/14.08  																																																								| (264)  ~ (e1 = e0)
% 44.09/14.08  																																																								|
% 44.09/14.08  																																																								+-Applying beta-rule and splitting (835), into two cases.
% 44.09/14.08  																																																								|-Branch one:
% 44.09/14.08  																																																								| (836) all_0_92_92 = e1
% 44.09/14.08  																																																								|
% 44.09/14.08  																																																									| Combining equations (942,836) yields a new equation:
% 44.09/14.08  																																																									| (865) e1 = e0
% 44.09/14.08  																																																									|
% 44.09/14.08  																																																									| Equations (865) can reduce 264 to:
% 44.09/14.08  																																																									| (311) $false
% 44.09/14.08  																																																									|
% 44.09/14.08  																																																									|-The branch is then unsatisfiable
% 44.09/14.08  																																																								|-Branch two:
% 44.09/14.08  																																																								| (840)  ~ (all_0_92_92 = e1)
% 44.09/14.08  																																																								| (542) all_0_97_97 = e1
% 44.09/14.08  																																																								|
% 44.09/14.08  																																																									| From (542) and (252) follows:
% 44.09/14.08  																																																									| (3446) op(e1, e1) = all_0_67_67
% 44.09/14.08  																																																									|
% 44.09/14.08  																																																									| Instantiating formula (262) with e1, e1, all_0_76_76, all_0_67_67 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = all_0_76_76, yields:
% 44.09/14.09  																																																									| (13241) all_0_67_67 = all_0_76_76
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									| Instantiating formula (262) with e1, e1, e0, all_0_67_67 and discharging atoms op(e1, e1) = all_0_67_67, op(e1, e1) = e0, yields:
% 44.09/14.09  																																																									| (597) all_0_67_67 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 44.09/14.09  																																																									| (2758) all_0_71_71 = e4
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									| Combining equations (597,13241) yields a new equation:
% 44.09/14.09  																																																									| (8960) all_0_76_76 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									+-Applying beta-rule and splitting (89), into two cases.
% 44.09/14.09  																																																									|-Branch one:
% 44.09/14.09  																																																									| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																										+-Applying beta-rule and splitting (1373), into two cases.
% 44.09/14.09  																																																										|-Branch one:
% 44.09/14.09  																																																										| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																											+-Applying beta-rule and splitting (1374), into two cases.
% 44.09/14.09  																																																											|-Branch one:
% 44.09/14.09  																																																											| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.09/14.09  																																																											|
% 44.09/14.09  																																																												| Applying alpha-rule on (1375) yields:
% 44.09/14.09  																																																												| (1376) all_0_69_69 = e4
% 44.09/14.09  																																																												| (1377)  ~ (all_0_70_70 = e0)
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												| Combining equations (1376,18072) yields a new equation:
% 44.09/14.09  																																																												| (309) e4 = e2
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												| Simplifying 309 yields:
% 44.09/14.09  																																																												| (310) e4 = e2
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												| Equations (310) can reduce 79 to:
% 44.09/14.09  																																																												| (311) $false
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												|-The branch is then unsatisfiable
% 44.09/14.09  																																																											|-Branch two:
% 44.09/14.09  																																																											| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.09/14.09  																																																											|
% 44.09/14.09  																																																												| Applying alpha-rule on (1379) yields:
% 44.09/14.09  																																																												| (1380) all_0_71_71 = e3
% 44.09/14.09  																																																												| (1381)  ~ (all_0_72_72 = e0)
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												| Combining equations (1380,2758) yields a new equation:
% 44.09/14.09  																																																												| (434) e4 = e3
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												| Equations (434) can reduce 177 to:
% 44.09/14.09  																																																												| (311) $false
% 44.09/14.09  																																																												|
% 44.09/14.09  																																																												|-The branch is then unsatisfiable
% 44.09/14.09  																																																										|-Branch two:
% 44.09/14.09  																																																										| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																											| Applying alpha-rule on (1385) yields:
% 44.09/14.09  																																																											| (1386) all_0_73_73 = e2
% 44.09/14.09  																																																											| (1387)  ~ (all_0_74_74 = e0)
% 44.09/14.09  																																																											|
% 44.09/14.09  																																																											| Combining equations (1386,17845) yields a new equation:
% 44.09/14.09  																																																											| (548) e3 = e2
% 44.09/14.09  																																																											|
% 44.09/14.09  																																																											| Equations (548) can reduce 169 to:
% 44.09/14.09  																																																											| (311) $false
% 44.09/14.09  																																																											|
% 44.09/14.09  																																																											|-The branch is then unsatisfiable
% 44.09/14.09  																																																									|-Branch two:
% 44.09/14.09  																																																									| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																										| Applying alpha-rule on (1391) yields:
% 44.09/14.09  																																																										| (1392) all_0_75_75 = e1
% 44.09/14.09  																																																										| (1393)  ~ (all_0_76_76 = e0)
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										| Equations (8960) can reduce 1393 to:
% 44.09/14.09  																																																										| (311) $false
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										|-The branch is then unsatisfiable
% 44.09/14.09  																																																							|-Branch two:
% 44.09/14.09  																																																							| (893)  ~ (all_0_95_95 = e0)
% 44.09/14.09  																																																							| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.09/14.09  																																																							|
% 44.09/14.09  																																																								+-Applying beta-rule and splitting (1921), into two cases.
% 44.09/14.09  																																																								|-Branch one:
% 44.09/14.09  																																																								| (1837) all_0_96_96 = e0
% 44.09/14.09  																																																								|
% 44.09/14.09  																																																									| Combining equations (1704,1837) yields a new equation:
% 44.09/14.09  																																																									| (923) e2 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									| Simplifying 923 yields:
% 44.09/14.09  																																																									| (379) e2 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									| Equations (379) can reduce 76 to:
% 44.09/14.09  																																																									| (311) $false
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																									|-The branch is then unsatisfiable
% 44.09/14.09  																																																								|-Branch two:
% 44.09/14.09  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 44.09/14.09  																																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.09/14.09  																																																								|
% 44.09/14.09  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 44.09/14.09  																																																									|-Branch one:
% 44.09/14.09  																																																									| (560) all_0_97_97 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																										| Equations (560) can reduce 609 to:
% 44.09/14.09  																																																										| (311) $false
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										|-The branch is then unsatisfiable
% 44.09/14.09  																																																									|-Branch two:
% 44.09/14.09  																																																									| (609)  ~ (all_0_97_97 = e0)
% 44.09/14.09  																																																									| (1121) all_0_98_98 = e0
% 44.09/14.09  																																																									|
% 44.09/14.09  																																																										| Combining equations (969,1121) yields a new equation:
% 44.09/14.09  																																																										| (599) e3 = e0
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										| Simplifying 599 yields:
% 44.09/14.09  																																																										| (600) e3 = e0
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										| Equations (600) can reduce 50 to:
% 44.09/14.09  																																																										| (311) $false
% 44.09/14.09  																																																										|
% 44.09/14.09  																																																										|-The branch is then unsatisfiable
% 44.09/14.09  																																																						|-Branch two:
% 44.09/14.09  																																																						| (946)  ~ (all_0_92_92 = e0)
% 44.09/14.09  																																																						| (604) all_0_93_93 = e0
% 44.09/14.09  																																																						|
% 44.09/14.09  																																																							| Combining equations (566,604) yields a new equation:
% 44.09/14.09  																																																							| (1107) e1 = e0
% 44.09/14.09  																																																							|
% 44.09/14.09  																																																							| Simplifying 1107 yields:
% 44.09/14.09  																																																							| (865) e1 = e0
% 44.09/14.09  																																																							|
% 44.09/14.09  																																																							| Equations (865) can reduce 264 to:
% 44.09/14.09  																																																							| (311) $false
% 44.09/14.09  																																																							|
% 44.09/14.09  																																																							|-The branch is then unsatisfiable
% 44.09/14.09  																																												|-Branch two:
% 44.09/14.09  																																												| (481)  ~ (all_0_93_93 = e1)
% 44.09/14.09  																																												| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.09/14.09  																																												|
% 44.09/14.09  																																													+-Applying beta-rule and splitting (569), into two cases.
% 44.09/14.09  																																													|-Branch one:
% 44.09/14.09  																																													| (570) all_0_93_93 = e3
% 44.09/14.09  																																													|
% 44.09/14.09  																																														| Equations (570) can reduce 602 to:
% 44.09/14.09  																																														| (311) $false
% 44.09/14.09  																																														|
% 44.09/14.09  																																														|-The branch is then unsatisfiable
% 44.09/14.09  																																													|-Branch two:
% 44.09/14.09  																																													| (602)  ~ (all_0_93_93 = e3)
% 44.09/14.09  																																													| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.09/14.09  																																													|
% 44.09/14.09  																																														+-Applying beta-rule and splitting (603), into two cases.
% 44.09/14.09  																																														|-Branch one:
% 44.09/14.09  																																														| (604) all_0_93_93 = e0
% 44.09/14.09  																																														|
% 44.09/14.09  																																															| Equations (604) can reduce 509 to:
% 44.09/14.09  																																															| (311) $false
% 44.09/14.09  																																															|
% 44.09/14.09  																																															|-The branch is then unsatisfiable
% 44.09/14.09  																																														|-Branch two:
% 44.09/14.09  																																														| (509)  ~ (all_0_93_93 = e0)
% 44.09/14.09  																																														| (607) all_0_93_93 = e4
% 44.09/14.09  																																														|
% 44.09/14.09  																																															| Equations (607) can reduce 496 to:
% 44.09/14.09  																																															| (311) $false
% 44.09/14.09  																																															|
% 44.09/14.09  																																															|-The branch is then unsatisfiable
% 44.09/14.09  																																									|-Branch two:
% 44.09/14.09  																																									| (422)  ~ (all_0_84_84 = e3)
% 44.09/14.09  																																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.09/14.09  																																									|
% 44.09/14.09  																																										+-Applying beta-rule and splitting (1268), into two cases.
% 44.09/14.09  																																										|-Branch one:
% 44.09/14.09  																																										| (916) all_0_84_84 = e0
% 44.09/14.09  																																										|
% 44.09/14.09  																																											| Equations (916) can reduce 919 to:
% 44.09/14.09  																																											| (311) $false
% 44.09/14.09  																																											|
% 44.09/14.09  																																											|-The branch is then unsatisfiable
% 44.09/14.09  																																										|-Branch two:
% 44.09/14.09  																																										| (919)  ~ (all_0_84_84 = e0)
% 44.09/14.09  																																										| (438) all_0_84_84 = e4
% 44.09/14.09  																																										|
% 44.09/14.09  																																											| Equations (438) can reduce 417 to:
% 44.09/14.09  																																											| (311) $false
% 44.09/14.09  																																											|
% 44.09/14.09  																																											|-The branch is then unsatisfiable
% 44.09/14.09  																																		|-Branch two:
% 44.09/14.09  																																		| (467)  ~ (all_0_90_90 = e4)
% 44.09/14.09  																																		| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.09/14.09  																																		|
% 44.09/14.09  																																			+-Applying beta-rule and splitting (3629), into two cases.
% 44.09/14.09  																																			|-Branch one:
% 44.09/14.09  																																			| (583) all_0_90_90 = e4
% 44.09/14.09  																																			|
% 44.09/14.09  																																				| Equations (583) can reduce 467 to:
% 44.09/14.09  																																				| (311) $false
% 44.09/14.09  																																				|
% 44.09/14.09  																																				|-The branch is then unsatisfiable
% 44.09/14.09  																																			|-Branch two:
% 44.09/14.09  																																			| (467)  ~ (all_0_90_90 = e4)
% 44.09/14.09  																																			| (894) all_0_95_95 = e4
% 44.09/14.09  																																			|
% 44.09/14.09  																																				| Equations (894) can reduce 315 to:
% 44.09/14.09  																																				| (311) $false
% 44.09/14.09  																																				|
% 44.09/14.09  																																				|-The branch is then unsatisfiable
% 44.09/14.09  																														|-Branch two:
% 44.09/14.09  																														| (418)  ~ (all_0_78_78 = e3)
% 44.09/14.09  																														| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.09/14.09  																														|
% 44.09/14.09  																															+-Applying beta-rule and splitting (171), into two cases.
% 44.09/14.09  																															|-Branch one:
% 44.09/14.09  																															| (789) all_0_82_82 = e3
% 44.09/14.09  																															|
% 44.09/14.09  																																| Combining equations (530,789) yields a new equation:
% 44.09/14.09  																																| (548) e3 = e2
% 44.09/14.09  																																|
% 44.09/14.09  																																| Equations (548) can reduce 169 to:
% 44.09/14.09  																																| (311) $false
% 44.09/14.09  																																|
% 44.09/14.09  																																|-The branch is then unsatisfiable
% 44.09/14.09  																															|-Branch two:
% 44.09/14.09  																															| (793)  ~ (all_0_82_82 = e3)
% 44.09/14.09  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.09/14.09  																															|
% 44.09/14.09  																																| Equations (530) can reduce 793 to:
% 44.09/14.09  																																| (356)  ~ (e3 = e2)
% 44.09/14.09  																																|
% 44.09/14.09  																																| Simplifying 356 yields:
% 44.09/14.09  																																| (169)  ~ (e3 = e2)
% 44.09/14.09  																																|
% 44.09/14.09  																																+-Applying beta-rule and splitting (1756), into two cases.
% 44.09/14.09  																																|-Branch one:
% 44.09/14.09  																																| (1708) all_0_79_79 = e3
% 44.09/14.09  																																|
% 44.09/14.09  																																	| Combining equations (1708,457) yields a new equation:
% 44.09/14.09  																																	| (825) e3 = e1
% 44.09/14.09  																																	|
% 44.09/14.09  																																	| Simplifying 825 yields:
% 44.09/14.09  																																	| (772) e3 = e1
% 44.09/14.09  																																	|
% 44.09/14.09  																																	| Equations (772) can reduce 20 to:
% 44.09/14.09  																																	| (311) $false
% 44.09/14.09  																																	|
% 44.09/14.09  																																	|-The branch is then unsatisfiable
% 44.09/14.09  																																|-Branch two:
% 44.09/14.09  																																| (1711)  ~ (all_0_79_79 = e3)
% 44.09/14.09  																																| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.09/14.09  																																|
% 44.09/14.09  																																	+-Applying beta-rule and splitting (1768), into two cases.
% 44.09/14.09  																																	|-Branch one:
% 44.09/14.09  																																	| (416) all_0_80_80 = e3
% 44.09/14.09  																																	|
% 44.09/14.09  																																		| Combining equations (433,416) yields a new equation:
% 44.09/14.09  																																		| (790) e4 = e3
% 44.09/14.09  																																		|
% 44.09/14.09  																																		| Simplifying 790 yields:
% 44.09/14.09  																																		| (434) e4 = e3
% 44.09/14.09  																																		|
% 44.09/14.09  																																		| Equations (434) can reduce 177 to:
% 44.09/14.09  																																		| (311) $false
% 44.09/14.09  																																		|
% 44.09/14.09  																																		|-The branch is then unsatisfiable
% 44.09/14.09  																																	|-Branch two:
% 44.09/14.09  																																	| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.09  																																	| (635) all_0_81_81 = e3
% 44.09/14.09  																																	|
% 44.09/14.09  																																		| Combining equations (473,635) yields a new equation:
% 44.09/14.09  																																		| (548) e3 = e2
% 44.09/14.09  																																		|
% 44.09/14.09  																																		| Equations (548) can reduce 169 to:
% 44.09/14.09  																																		| (311) $false
% 44.09/14.09  																																		|
% 44.09/14.09  																																		|-The branch is then unsatisfiable
% 44.09/14.09  																												|-Branch two:
% 44.09/14.09  																												| (436)  ~ (all_0_80_80 = e4)
% 44.09/14.09  																												| (638) all_0_81_81 = e4
% 44.09/14.09  																												|
% 44.09/14.09  																													| Combining equations (473,638) yields a new equation:
% 44.09/14.09  																													| (310) e4 = e2
% 44.09/14.09  																													|
% 44.09/14.09  																													| Equations (310) can reduce 79 to:
% 44.09/14.09  																													| (311) $false
% 44.09/14.09  																													|
% 44.09/14.09  																													|-The branch is then unsatisfiable
% 44.09/14.09  																							|-Branch two:
% 44.09/14.09  																							| (347)  ~ (all_0_82_82 = e2)
% 44.09/14.09  																							| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 44.09/14.09  																							|
% 44.09/14.09  																								+-Applying beta-rule and splitting (533), into two cases.
% 44.09/14.09  																								|-Branch one:
% 44.09/14.09  																								| (453) all_0_83_83 = e2
% 44.09/14.09  																								|
% 44.09/14.09  																									| Combining equations (798,453) yields a new equation:
% 44.09/14.09  																									| (379) e2 = e0
% 44.09/14.09  																									|
% 44.09/14.09  																									| Equations (379) can reduce 76 to:
% 44.09/14.09  																									| (311) $false
% 44.09/14.09  																									|
% 44.09/14.09  																									|-The branch is then unsatisfiable
% 44.09/14.09  																								|-Branch two:
% 44.09/14.09  																								| (398)  ~ (all_0_83_83 = e2)
% 44.09/14.09  																								| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 44.09/14.09  																								|
% 44.09/14.09  																									+-Applying beta-rule and splitting (537), into two cases.
% 44.09/14.09  																									|-Branch one:
% 44.09/14.09  																									| (552) all_0_84_84 = e2
% 44.09/14.09  																									|
% 44.09/14.09  																										| Equations (552) can reduce 612 to:
% 44.09/14.09  																										| (311) $false
% 44.09/14.09  																										|
% 44.09/14.09  																										|-The branch is then unsatisfiable
% 44.09/14.09  																									|-Branch two:
% 44.09/14.09  																									| (612)  ~ (all_0_84_84 = e2)
% 44.09/14.09  																									| (512) all_0_85_85 = e2
% 44.09/14.09  																									|
% 44.09/14.09  																										| Equations (512) can reduce 515 to:
% 44.09/14.09  																										| (311) $false
% 44.09/14.09  																										|
% 44.09/14.09  																										|-The branch is then unsatisfiable
% 44.09/14.09  																			|-Branch two:
% 44.09/14.09  																			| (571)  ~ (all_0_91_91 = e3)
% 44.09/14.09  																			| (778) all_0_96_96 = e3
% 44.09/14.09  																			|
% 44.09/14.09  																				| Combining equations (778,1704) yields a new equation:
% 44.09/14.09  																				| (547) e3 = e2
% 44.09/14.09  																				|
% 44.09/14.09  																				| Simplifying 547 yields:
% 44.09/14.09  																				| (548) e3 = e2
% 44.09/14.09  																				|
% 44.09/14.09  																				| Equations (548) can reduce 169 to:
% 44.09/14.09  																				| (311) $false
% 44.09/14.09  																				|
% 44.09/14.09  																				|-The branch is then unsatisfiable
% 44.09/14.09  															|-Branch two:
% 44.09/14.09  															| (1314)  ~ (all_0_83_83 = e0)
% 44.09/14.10  															| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 44.09/14.10  															|
% 44.09/14.10  																+-Applying beta-rule and splitting (456), into two cases.
% 44.09/14.10  																|-Branch one:
% 44.09/14.10  																| (795) all_0_83_83 = e3
% 44.09/14.10  																|
% 44.09/14.10  																	| Equations (795) can reduce 113 to:
% 44.09/14.10  																	| (20)  ~ (e3 = e1)
% 44.09/14.10  																	|
% 44.09/14.10  																	| From (795) and (206) follows:
% 44.09/14.10  																	| (8280) op(e2, e3) = all_0_54_54
% 44.09/14.10  																	|
% 44.09/14.10  																	+-Applying beta-rule and splitting (1400), into two cases.
% 44.09/14.10  																	|-Branch one:
% 44.09/14.10  																	| (1456) all_0_91_91 = e0
% 44.09/14.10  																	|
% 44.09/14.10  																		| Equations (1456) can reduce 133 to:
% 44.09/14.10  																		| (904)  ~ (e4 = e0)
% 44.09/14.10  																		|
% 44.09/14.10  																		| Simplifying 904 yields:
% 44.09/14.10  																		| (23)  ~ (e4 = e0)
% 44.09/14.10  																		|
% 44.09/14.10  																		| Equations (1456) can reduce 959 to:
% 44.09/14.10  																		| (859)  ~ (e1 = e0)
% 44.09/14.10  																		|
% 44.09/14.10  																		| Simplifying 859 yields:
% 44.09/14.10  																		| (264)  ~ (e1 = e0)
% 44.09/14.10  																		|
% 44.09/14.10  																		| From (1456) and (222) follows:
% 44.09/14.10  																		| (8259) op(e2, e0) = all_0_56_56
% 44.09/14.10  																		|
% 44.09/14.10  																		| Instantiating formula (262) with e2, e3, all_0_54_54, e1 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e1, yields:
% 44.09/14.10  																		| (11306) all_0_54_54 = e1
% 44.09/14.10  																		|
% 44.09/14.10  																		| Instantiating formula (262) with e2, e0, all_0_56_56, e0 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e0, yields:
% 44.09/14.10  																		| (10959) all_0_56_56 = e0
% 44.09/14.10  																		|
% 44.09/14.10  																		+-Applying beta-rule and splitting (33), into two cases.
% 44.09/14.10  																		|-Branch one:
% 44.09/14.10  																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.09/14.10  																		|
% 44.09/14.10  																			+-Applying beta-rule and splitting (1686), into two cases.
% 44.09/14.10  																			|-Branch one:
% 44.09/14.10  																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.09/14.10  																			|
% 44.09/14.10  																				+-Applying beta-rule and splitting (1687), into two cases.
% 44.09/14.10  																				|-Branch one:
% 44.09/14.10  																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.09/14.10  																				|
% 44.09/14.10  																					| Applying alpha-rule on (1688) yields:
% 44.09/14.10  																					| (1689) all_0_52_52 = e4
% 44.09/14.10  																					| (1690)  ~ (all_0_53_53 = e2)
% 44.09/14.10  																					|
% 44.09/14.10  																					| Combining equations (10960,1689) yields a new equation:
% 44.09/14.10  																					| (310) e4 = e2
% 44.09/14.10  																					|
% 44.09/14.10  																					| Equations (310) can reduce 79 to:
% 44.09/14.10  																					| (311) $false
% 44.09/14.10  																					|
% 44.09/14.10  																					|-The branch is then unsatisfiable
% 44.09/14.10  																				|-Branch two:
% 44.09/14.10  																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.09/14.10  																				|
% 44.09/14.10  																					| Applying alpha-rule on (1694) yields:
% 44.09/14.10  																					| (1695) all_0_54_54 = e3
% 44.09/14.10  																					| (1696)  ~ (all_0_55_55 = e2)
% 44.09/14.10  																					|
% 44.09/14.10  																					| Combining equations (1695,11306) yields a new equation:
% 44.09/14.10  																					| (825) e3 = e1
% 44.09/14.10  																					|
% 44.09/14.10  																					| Simplifying 825 yields:
% 44.09/14.10  																					| (772) e3 = e1
% 44.09/14.10  																					|
% 44.09/14.10  																					| Equations (772) can reduce 20 to:
% 44.09/14.10  																					| (311) $false
% 44.09/14.10  																					|
% 44.09/14.10  																					|-The branch is then unsatisfiable
% 44.09/14.10  																			|-Branch two:
% 44.09/14.10  																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.09/14.10  																			|
% 44.09/14.10  																				| Applying alpha-rule on (1700) yields:
% 44.09/14.10  																				| (1701) all_0_56_56 = e1
% 44.09/14.10  																				| (1702)  ~ (all_0_57_57 = e2)
% 44.09/14.10  																				|
% 44.09/14.10  																				| Combining equations (10959,1701) yields a new equation:
% 44.09/14.10  																				| (865) e1 = e0
% 44.09/14.10  																				|
% 44.09/14.10  																				| Equations (865) can reduce 264 to:
% 44.09/14.10  																				| (311) $false
% 44.09/14.10  																				|
% 44.09/14.10  																				|-The branch is then unsatisfiable
% 44.09/14.10  																		|-Branch two:
% 44.09/14.10  																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.09/14.10  																		|
% 44.09/14.10  																			| Applying alpha-rule on (4957) yields:
% 44.09/14.10  																			| (4958) all_0_58_58 = e0
% 44.09/14.10  																			| (4959)  ~ (all_0_59_59 = e2)
% 44.09/14.10  																			|
% 44.09/14.10  																			| Combining equations (4958,8082) yields a new equation:
% 44.09/14.10  																			| (912) e4 = e0
% 44.09/14.10  																			|
% 44.09/14.10  																			| Equations (912) can reduce 23 to:
% 44.09/14.10  																			| (311) $false
% 44.09/14.10  																			|
% 44.09/14.10  																			|-The branch is then unsatisfiable
% 44.09/14.10  																	|-Branch two:
% 44.09/14.10  																	| (1487)  ~ (all_0_91_91 = e0)
% 44.09/14.10  																	| (1837) all_0_96_96 = e0
% 44.09/14.10  																	|
% 44.09/14.10  																		| Combining equations (1837,1704) yields a new equation:
% 44.09/14.10  																		| (379) e2 = e0
% 44.09/14.10  																		|
% 44.09/14.10  																		| Equations (379) can reduce 76 to:
% 44.09/14.10  																		| (311) $false
% 44.09/14.10  																		|
% 44.09/14.10  																		|-The branch is then unsatisfiable
% 44.09/14.10  																|-Branch two:
% 44.09/14.10  																| (779)  ~ (all_0_83_83 = e3)
% 44.09/14.10  																| (798) all_0_83_83 = e0
% 44.09/14.10  																|
% 44.09/14.10  																	| Equations (798) can reduce 1314 to:
% 44.09/14.10  																	| (311) $false
% 44.09/14.10  																	|
% 44.09/14.10  																	|-The branch is then unsatisfiable
% 44.09/14.10  														|-Branch two:
% 44.09/14.10  														| (461)  ~ (all_0_79_79 = e1)
% 44.09/14.10  														| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.09/14.10  														|
% 44.09/14.10  															+-Applying beta-rule and splitting (1623), into two cases.
% 44.09/14.10  															|-Branch one:
% 44.09/14.10  															| (457) all_0_79_79 = e1
% 44.09/14.10  															|
% 44.09/14.10  																| Equations (457) can reduce 461 to:
% 44.09/14.10  																| (311) $false
% 44.09/14.10  																|
% 44.09/14.10  																|-The branch is then unsatisfiable
% 44.09/14.10  															|-Branch two:
% 44.09/14.10  															| (461)  ~ (all_0_79_79 = e1)
% 44.09/14.10  															| (1708) all_0_79_79 = e3
% 44.09/14.10  															|
% 44.09/14.10  																| Combining equations (1708,331) yields a new equation:
% 44.09/14.10  																| (13379) all_0_39_39 = e3
% 44.09/14.10  																|
% 44.09/14.10  																| Equations (1708) can reduce 66 to:
% 44.09/14.10  																| (418)  ~ (all_0_78_78 = e3)
% 44.09/14.10  																|
% 44.09/14.10  																| Equations (1708) can reduce 63 to:
% 44.09/14.10  																| (3267)  ~ (all_0_80_80 = e3)
% 44.09/14.10  																|
% 44.09/14.10  																| Simplifying 3267 yields:
% 44.09/14.10  																| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.10  																|
% 44.09/14.10  																| Equations (1708) can reduce 272 to:
% 44.09/14.10  																| (12083)  ~ (all_0_83_83 = e3)
% 44.09/14.10  																|
% 44.09/14.10  																| Simplifying 12083 yields:
% 44.09/14.10  																| (779)  ~ (all_0_83_83 = e3)
% 44.09/14.10  																|
% 44.09/14.10  																| From (1708) and (184) follows:
% 44.09/14.10  																| (11003) op(e2, e3) = all_0_52_52
% 44.09/14.10  																|
% 44.09/14.10  																+-Applying beta-rule and splitting (456), into two cases.
% 44.09/14.10  																|-Branch one:
% 44.09/14.10  																| (795) all_0_83_83 = e3
% 44.09/14.10  																|
% 44.09/14.10  																	| Equations (795) can reduce 779 to:
% 44.09/14.10  																	| (311) $false
% 44.09/14.10  																	|
% 44.09/14.10  																	|-The branch is then unsatisfiable
% 44.09/14.10  																|-Branch two:
% 44.09/14.10  																| (779)  ~ (all_0_83_83 = e3)
% 44.09/14.10  																| (798) all_0_83_83 = e0
% 44.09/14.10  																|
% 44.09/14.10  																	| Equations (798) can reduce 155 to:
% 44.09/14.10  																	| (904)  ~ (e4 = e0)
% 44.09/14.10  																	|
% 44.09/14.10  																	| Simplifying 904 yields:
% 44.09/14.10  																	| (23)  ~ (e4 = e0)
% 44.09/14.10  																	|
% 44.09/14.10  																	| Equations (798) can reduce 779 to:
% 44.09/14.10  																	| (906)  ~ (e3 = e0)
% 44.09/14.10  																	|
% 44.09/14.10  																	| Simplifying 906 yields:
% 44.09/14.10  																	| (50)  ~ (e3 = e0)
% 44.09/14.10  																	|
% 44.09/14.10  																	| From (798) and (206) follows:
% 44.09/14.10  																	| (8092) op(e2, e0) = all_0_54_54
% 44.09/14.10  																	|
% 44.09/14.10  																	+-Applying beta-rule and splitting (70), into two cases.
% 44.09/14.10  																	|-Branch one:
% 44.09/14.10  																	| (400) all_0_78_78 = e2
% 44.09/14.10  																	|
% 44.09/14.10  																		| Equations (400) can reduce 278 to:
% 44.09/14.10  																		| (395)  ~ (all_0_81_81 = e2)
% 44.09/14.10  																		|
% 44.09/14.10  																		| Simplifying 395 yields:
% 44.09/14.10  																		| (396)  ~ (all_0_81_81 = e2)
% 44.09/14.10  																		|
% 44.09/14.10  																		| Equations (400) can reduce 86 to:
% 44.09/14.10  																		| (76)  ~ (e2 = e0)
% 44.09/14.10  																		|
% 44.09/14.10  																		+-Applying beta-rule and splitting (205), into two cases.
% 44.09/14.10  																		|-Branch one:
% 44.09/14.10  																		| (473) all_0_81_81 = e2
% 44.09/14.10  																		|
% 44.09/14.10  																			| Equations (473) can reduce 396 to:
% 44.09/14.10  																			| (311) $false
% 44.09/14.10  																			|
% 44.09/14.10  																			|-The branch is then unsatisfiable
% 44.09/14.10  																		|-Branch two:
% 44.09/14.10  																		| (396)  ~ (all_0_81_81 = e2)
% 44.09/14.10  																		| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 44.09/14.10  																		|
% 44.09/14.10  																			+-Applying beta-rule and splitting (503), into two cases.
% 44.09/14.10  																			|-Branch one:
% 44.09/14.10  																			| (512) all_0_85_85 = e2
% 44.09/14.10  																			|
% 44.09/14.10  																				| Equations (512) can reduce 128 to:
% 44.09/14.10  																				| (243)  ~ (e2 = e1)
% 44.09/14.10  																				|
% 44.09/14.10  																				+-Applying beta-rule and splitting (462), into two cases.
% 44.09/14.10  																				|-Branch one:
% 44.09/14.10  																				| (801) all_0_91_91 = e1
% 44.09/14.10  																				|
% 44.09/14.10  																					| Equations (801) can reduce 133 to:
% 44.09/14.10  																					| (681)  ~ (e4 = e1)
% 44.09/14.10  																					|
% 44.09/14.10  																					| Simplifying 681 yields:
% 44.09/14.10  																					| (256)  ~ (e4 = e1)
% 44.09/14.10  																					|
% 44.09/14.10  																					| Equations (801) can reduce 296 to:
% 44.09/14.10  																					| (487)  ~ (e2 = e1)
% 44.09/14.10  																					|
% 44.09/14.10  																					| Simplifying 487 yields:
% 44.09/14.10  																					| (243)  ~ (e2 = e1)
% 44.09/14.10  																					|
% 44.09/14.10  																					| From (801) and (222) follows:
% 44.09/14.11  																					| (10993) op(e2, e1) = all_0_56_56
% 44.09/14.11  																					|
% 44.09/14.11  																					| Instantiating formula (262) with e2, e3, all_0_52_52, e1 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e1, yields:
% 44.09/14.11  																					| (15841) all_0_52_52 = e1
% 44.09/14.11  																					|
% 44.09/14.11  																					| Instantiating formula (262) with e2, e1, all_0_56_56, e2 and discharging atoms op(e2, e1) = all_0_56_56, op(e2, e1) = e2, yields:
% 44.09/14.11  																					| (8110) all_0_56_56 = e2
% 44.09/14.11  																					|
% 44.09/14.11  																					| Instantiating formula (262) with e2, e0, all_0_54_54, e0 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e0, yields:
% 44.09/14.11  																					| (12243) all_0_54_54 = e0
% 44.09/14.11  																					|
% 44.09/14.11  																					+-Applying beta-rule and splitting (33), into two cases.
% 44.09/14.11  																					|-Branch one:
% 44.09/14.11  																					| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.09/14.11  																					|
% 44.09/14.11  																						+-Applying beta-rule and splitting (1686), into two cases.
% 44.09/14.11  																						|-Branch one:
% 44.09/14.11  																						| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.09/14.11  																						|
% 44.09/14.11  																							+-Applying beta-rule and splitting (1687), into two cases.
% 44.09/14.11  																							|-Branch one:
% 44.09/14.11  																							| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.09/14.11  																							|
% 44.09/14.11  																								| Applying alpha-rule on (1688) yields:
% 44.09/14.11  																								| (1689) all_0_52_52 = e4
% 44.09/14.11  																								| (1690)  ~ (all_0_53_53 = e2)
% 44.09/14.11  																								|
% 44.09/14.11  																								| Combining equations (15841,1689) yields a new equation:
% 44.09/14.11  																								| (814) e4 = e1
% 44.09/14.11  																								|
% 44.09/14.11  																								| Equations (814) can reduce 256 to:
% 44.09/14.11  																								| (311) $false
% 44.09/14.11  																								|
% 44.09/14.11  																								|-The branch is then unsatisfiable
% 44.09/14.11  																							|-Branch two:
% 44.09/14.11  																							| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.09/14.11  																							|
% 44.09/14.11  																								| Applying alpha-rule on (1694) yields:
% 44.09/14.11  																								| (1695) all_0_54_54 = e3
% 44.09/14.11  																								| (1696)  ~ (all_0_55_55 = e2)
% 44.09/14.11  																								|
% 44.09/14.11  																								| Combining equations (12243,1695) yields a new equation:
% 44.09/14.11  																								| (600) e3 = e0
% 44.09/14.11  																								|
% 44.09/14.11  																								| Equations (600) can reduce 50 to:
% 44.09/14.11  																								| (311) $false
% 44.09/14.11  																								|
% 44.09/14.11  																								|-The branch is then unsatisfiable
% 44.09/14.11  																						|-Branch two:
% 44.09/14.11  																						| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.09/14.11  																						|
% 44.09/14.11  																							| Applying alpha-rule on (1700) yields:
% 44.09/14.11  																							| (1701) all_0_56_56 = e1
% 44.09/14.11  																							| (1702)  ~ (all_0_57_57 = e2)
% 44.09/14.11  																							|
% 44.09/14.11  																							| Combining equations (8110,1701) yields a new equation:
% 44.09/14.11  																							| (408) e2 = e1
% 44.09/14.11  																							|
% 44.09/14.11  																							| Simplifying 408 yields:
% 44.09/14.11  																							| (385) e2 = e1
% 44.09/14.11  																							|
% 44.09/14.11  																							| Equations (385) can reduce 243 to:
% 44.09/14.11  																							| (311) $false
% 44.09/14.11  																							|
% 44.09/14.11  																							|-The branch is then unsatisfiable
% 44.09/14.11  																					|-Branch two:
% 44.09/14.11  																					| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.09/14.11  																					|
% 44.09/14.11  																						| Applying alpha-rule on (4957) yields:
% 44.09/14.11  																						| (4958) all_0_58_58 = e0
% 44.09/14.11  																						| (4959)  ~ (all_0_59_59 = e2)
% 44.09/14.11  																						|
% 44.09/14.11  																						| Combining equations (8082,4958) yields a new equation:
% 44.09/14.11  																						| (911) e4 = e0
% 44.09/14.11  																						|
% 44.09/14.11  																						| Simplifying 911 yields:
% 44.09/14.11  																						| (912) e4 = e0
% 44.09/14.11  																						|
% 44.09/14.11  																						| Equations (912) can reduce 23 to:
% 44.09/14.11  																						| (311) $false
% 44.09/14.11  																						|
% 44.09/14.11  																						|-The branch is then unsatisfiable
% 44.09/14.11  																				|-Branch two:
% 44.09/14.11  																				| (959)  ~ (all_0_91_91 = e1)
% 44.09/14.11  																				| (960) all_0_96_96 = e1
% 44.09/14.11  																				|
% 44.09/14.11  																					| Combining equations (1704,960) yields a new equation:
% 44.09/14.11  																					| (408) e2 = e1
% 44.09/14.11  																					|
% 44.09/14.11  																					| Simplifying 408 yields:
% 44.09/14.11  																					| (385) e2 = e1
% 44.09/14.11  																					|
% 44.09/14.11  																					| Equations (385) can reduce 243 to:
% 44.09/14.11  																					| (311) $false
% 44.09/14.11  																					|
% 44.09/14.11  																					|-The branch is then unsatisfiable
% 44.09/14.11  																			|-Branch two:
% 44.09/14.11  																			| (515)  ~ (all_0_85_85 = e2)
% 44.09/14.11  																			| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 44.09/14.11  																			|
% 44.09/14.11  																				+-Applying beta-rule and splitting (516), into two cases.
% 44.09/14.11  																				|-Branch one:
% 44.09/14.11  																				| (370) all_0_88_88 = e2
% 44.09/14.11  																				|
% 44.09/14.11  																					| Combining equations (507,370) yields a new equation:
% 44.09/14.11  																					| (379) e2 = e0
% 44.09/14.11  																					|
% 44.09/14.11  																					| Equations (379) can reduce 76 to:
% 44.09/14.11  																					| (311) $false
% 44.09/14.11  																					|
% 44.09/14.11  																					|-The branch is then unsatisfiable
% 44.09/14.11  																				|-Branch two:
% 44.09/14.11  																				| (351)  ~ (all_0_88_88 = e2)
% 44.09/14.11  																				| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 44.09/14.11  																				|
% 44.09/14.11  																					+-Applying beta-rule and splitting (521), into two cases.
% 44.09/14.11  																					|-Branch one:
% 44.09/14.11  																					| (522) all_0_93_93 = e2
% 44.09/14.11  																					|
% 44.09/14.11  																						| Equations (522) can reduce 300 to:
% 44.09/14.11  																						| (311) $false
% 44.09/14.11  																						|
% 44.09/14.11  																						|-The branch is then unsatisfiable
% 44.09/14.11  																					|-Branch two:
% 44.09/14.11  																					| (300)  ~ (all_0_93_93 = e2)
% 44.09/14.11  																					| (525) all_0_98_98 = e2
% 44.09/14.11  																					|
% 44.09/14.11  																						| Equations (525) can reduce 1349 to:
% 44.09/14.11  																						| (311) $false
% 44.09/14.11  																						|
% 44.09/14.11  																						|-The branch is then unsatisfiable
% 44.09/14.11  																	|-Branch two:
% 44.09/14.11  																	| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.11  																	| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 44.09/14.11  																	|
% 44.09/14.11  																		+-Applying beta-rule and splitting (101), into two cases.
% 44.09/14.11  																		|-Branch one:
% 44.09/14.11  																		| (400) all_0_78_78 = e2
% 44.09/14.11  																		|
% 44.09/14.11  																			| Equations (400) can reduce 346 to:
% 44.09/14.11  																			| (311) $false
% 44.09/14.11  																			|
% 44.09/14.11  																			|-The branch is then unsatisfiable
% 44.09/14.11  																		|-Branch two:
% 44.09/14.11  																		| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.11  																		| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 44.09/14.11  																		|
% 44.09/14.11  																			+-Applying beta-rule and splitting (462), into two cases.
% 44.09/14.11  																			|-Branch one:
% 44.09/14.11  																			| (801) all_0_91_91 = e1
% 44.09/14.11  																			|
% 44.09/14.11  																				| Equations (801) can reduce 296 to:
% 44.09/14.11  																				| (487)  ~ (e2 = e1)
% 44.09/14.11  																				|
% 44.09/14.11  																				| Simplifying 487 yields:
% 44.09/14.11  																				| (243)  ~ (e2 = e1)
% 44.09/14.11  																				|
% 44.09/14.11  																				+-Applying beta-rule and splitting (246), into two cases.
% 44.09/14.11  																				|-Branch one:
% 44.09/14.11  																				| (400) all_0_78_78 = e2
% 44.09/14.11  																				|
% 44.09/14.11  																					| Equations (400) can reduce 346 to:
% 44.09/14.11  																					| (311) $false
% 44.09/14.11  																					|
% 44.09/14.11  																					|-The branch is then unsatisfiable
% 44.09/14.11  																				|-Branch two:
% 44.09/14.11  																				| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.11  																				| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.09/14.11  																				|
% 44.09/14.11  																					+-Applying beta-rule and splitting (13415), into two cases.
% 44.09/14.11  																					|-Branch one:
% 44.09/14.11  																					| (530) all_0_82_82 = e2
% 44.09/14.11  																					|
% 44.09/14.11  																						| Equations (530) can reduce 193 to:
% 44.09/14.11  																						| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.11  																						|
% 44.09/14.11  																						+-Applying beta-rule and splitting (24), into two cases.
% 44.09/14.11  																						|-Branch one:
% 44.09/14.11  																						| (400) all_0_78_78 = e2
% 44.09/14.11  																						|
% 44.09/14.11  																							| Equations (400) can reduce 346 to:
% 44.09/14.11  																							| (311) $false
% 44.09/14.11  																							|
% 44.09/14.11  																							|-The branch is then unsatisfiable
% 44.09/14.11  																						|-Branch two:
% 44.09/14.11  																						| (346)  ~ (all_0_78_78 = e2)
% 44.09/14.11  																						| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.09/14.11  																						|
% 44.09/14.11  																							+-Applying beta-rule and splitting (675), into two cases.
% 44.09/14.11  																							|-Branch one:
% 44.09/14.11  																							| (676) all_0_78_78 = e1
% 44.09/14.11  																							|
% 44.09/14.11  																								| Equations (676) can reduce 1601 to:
% 44.09/14.11  																								| (311) $false
% 44.09/14.11  																								|
% 44.09/14.11  																								|-The branch is then unsatisfiable
% 44.09/14.11  																							|-Branch two:
% 44.09/14.11  																							| (1601)  ~ (all_0_78_78 = e1)
% 44.09/14.11  																							| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.09/14.11  																							|
% 44.09/14.11  																								+-Applying beta-rule and splitting (1606), into two cases.
% 44.09/14.11  																								|-Branch one:
% 44.09/14.11  																								| (771) all_0_78_78 = e3
% 44.09/14.11  																								|
% 44.09/14.11  																									| Equations (771) can reduce 418 to:
% 44.09/14.11  																									| (311) $false
% 44.09/14.11  																									|
% 44.09/14.11  																									|-The branch is then unsatisfiable
% 44.09/14.11  																								|-Branch two:
% 44.09/14.11  																								| (418)  ~ (all_0_78_78 = e3)
% 44.09/14.11  																								| (463) all_0_78_78 = e4
% 44.09/14.11  																								|
% 44.09/14.11  																									| Equations (463) can reduce 67 to:
% 44.09/14.11  																									| (1728)  ~ (all_0_80_80 = e4)
% 44.09/14.11  																									|
% 44.09/14.11  																									| Simplifying 1728 yields:
% 44.09/14.11  																									| (436)  ~ (all_0_80_80 = e4)
% 44.09/14.11  																									|
% 44.09/14.11  																									+-Applying beta-rule and splitting (45), into two cases.
% 44.09/14.11  																									|-Branch one:
% 44.09/14.11  																									| (546) all_0_80_80 = e2
% 44.09/14.11  																									|
% 44.09/14.11  																										| Equations (546) can reduce 394 to:
% 44.09/14.11  																										| (311) $false
% 44.09/14.11  																										|
% 44.09/14.11  																										|-The branch is then unsatisfiable
% 44.09/14.11  																									|-Branch two:
% 44.09/14.11  																									| (394)  ~ (all_0_80_80 = e2)
% 44.09/14.11  																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.09/14.11  																									|
% 44.09/14.11  																										+-Applying beta-rule and splitting (3232), into two cases.
% 44.09/14.11  																										|-Branch one:
% 44.09/14.11  																										| (824) all_0_80_80 = e1
% 44.09/14.11  																										|
% 44.09/14.11  																											| Equations (824) can reduce 2347 to:
% 44.09/14.11  																											| (683)  ~ (e3 = e1)
% 44.09/14.11  																											|
% 44.09/14.11  																											| Simplifying 683 yields:
% 44.09/14.11  																											| (20)  ~ (e3 = e1)
% 44.09/14.11  																											|
% 44.09/14.11  																											+-Applying beta-rule and splitting (403), into two cases.
% 44.09/14.11  																											|-Branch one:
% 44.09/14.11  																											| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 44.09/14.11  																											|
% 44.09/14.11  																												+-Applying beta-rule and splitting (404), into two cases.
% 44.09/14.11  																												|-Branch one:
% 44.09/14.11  																												| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 44.09/14.11  																												|
% 44.09/14.11  																													| Applying alpha-rule on (405) yields:
% 44.09/14.11  																													| (406) all_0_39_39 = e1
% 44.09/14.11  																													| (407)  ~ (all_0_40_40 = e4)
% 44.09/14.11  																													|
% 44.09/14.11  																													| Combining equations (406,13379) yields a new equation:
% 44.09/14.11  																													| (772) e3 = e1
% 44.09/14.11  																													|
% 44.09/14.11  																													| Equations (772) can reduce 20 to:
% 44.09/14.11  																													| (311) $false
% 44.09/14.11  																													|
% 44.09/14.11  																													|-The branch is then unsatisfiable
% 44.09/14.11  																												|-Branch two:
% 44.09/14.11  																												| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 44.09/14.11  																												|
% 44.09/14.11  																													| Applying alpha-rule on (411) yields:
% 44.09/14.11  																													| (337) all_0_41_41 = e0
% 44.09/14.11  																													| (413)  ~ (all_0_42_42 = e4)
% 44.09/14.11  																													|
% 44.09/14.11  																													| Equations (336) can reduce 413 to:
% 44.09/14.11  																													| (311) $false
% 44.09/14.11  																													|
% 44.09/14.11  																													|-The branch is then unsatisfiable
% 44.09/14.11  																											|-Branch two:
% 44.09/14.11  																											| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 44.09/14.11  																											|
% 44.09/14.11  																												| Applying alpha-rule on (415) yields:
% 44.09/14.11  																												| (416) all_0_80_80 = e3
% 44.09/14.11  																												| (417)  ~ (all_0_84_84 = e4)
% 44.09/14.11  																												|
% 44.09/14.11  																												| Combining equations (824,416) yields a new equation:
% 44.09/14.11  																												| (772) e3 = e1
% 44.09/14.11  																												|
% 44.09/14.11  																												| Equations (772) can reduce 20 to:
% 44.09/14.11  																												| (311) $false
% 44.09/14.11  																												|
% 44.09/14.11  																												|-The branch is then unsatisfiable
% 44.09/14.11  																										|-Branch two:
% 44.09/14.11  																										| (828)  ~ (all_0_80_80 = e1)
% 44.09/14.11  																										| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.09/14.11  																										|
% 44.09/14.11  																											+-Applying beta-rule and splitting (4018), into two cases.
% 44.09/14.11  																											|-Branch one:
% 44.09/14.11  																											| (416) all_0_80_80 = e3
% 44.09/14.11  																											|
% 44.09/14.11  																												| Equations (416) can reduce 2347 to:
% 44.09/14.11  																												| (311) $false
% 44.09/14.11  																												|
% 44.09/14.11  																												|-The branch is then unsatisfiable
% 44.09/14.11  																											|-Branch two:
% 44.09/14.11  																											| (2347)  ~ (all_0_80_80 = e3)
% 44.09/14.11  																											| (433) all_0_80_80 = e4
% 44.09/14.11  																											|
% 44.09/14.11  																												| Equations (433) can reduce 436 to:
% 44.09/14.11  																												| (311) $false
% 44.09/14.11  																												|
% 44.09/14.11  																												|-The branch is then unsatisfiable
% 44.09/14.11  																					|-Branch two:
% 44.09/14.11  																					| (347)  ~ (all_0_82_82 = e2)
% 44.09/14.11  																					| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.09/14.11  																					|
% 44.09/14.12  																						+-Applying beta-rule and splitting (13419), into two cases.
% 44.09/14.12  																						|-Branch one:
% 44.09/14.12  																						| (345) all_0_86_86 = e2
% 44.09/14.12  																						|
% 44.09/14.12  																							| Combining equations (345,384) yields a new equation:
% 44.09/14.12  																							| (408) e2 = e1
% 44.09/14.12  																							|
% 44.09/14.12  																							| Simplifying 408 yields:
% 44.09/14.12  																							| (385) e2 = e1
% 44.09/14.12  																							|
% 44.09/14.12  																							| Equations (385) can reduce 243 to:
% 44.09/14.12  																							| (311) $false
% 44.09/14.12  																							|
% 44.09/14.12  																							|-The branch is then unsatisfiable
% 44.09/14.12  																						|-Branch two:
% 44.09/14.12  																						| (9507)  ~ (all_0_86_86 = e2)
% 44.09/14.12  																						| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 44.09/14.12  																						|
% 44.09/14.12  																							+-Applying beta-rule and splitting (13424), into two cases.
% 44.09/14.12  																							|-Branch one:
% 44.09/14.12  																							| (746) all_0_90_90 = e2
% 44.09/14.12  																							|
% 44.09/14.12  																								| Equations (746) can reduce 294 to:
% 44.09/14.12  																								| (311) $false
% 44.09/14.12  																								|
% 44.09/14.12  																								|-The branch is then unsatisfiable
% 44.09/14.12  																							|-Branch two:
% 44.09/14.12  																							| (294)  ~ (all_0_90_90 = e2)
% 44.09/14.12  																							| (767) all_0_95_95 = e2
% 44.09/14.12  																							|
% 44.09/14.12  																								| Equations (767) can reduce 355 to:
% 44.09/14.12  																								| (311) $false
% 44.09/14.12  																								|
% 44.09/14.12  																								|-The branch is then unsatisfiable
% 44.09/14.12  																			|-Branch two:
% 44.09/14.12  																			| (959)  ~ (all_0_91_91 = e1)
% 44.09/14.12  																			| (960) all_0_96_96 = e1
% 44.09/14.12  																			|
% 44.09/14.12  																				| Combining equations (960,1704) yields a new equation:
% 44.09/14.12  																				| (385) e2 = e1
% 44.09/14.12  																				|
% 44.09/14.12  																				| Equations (385) can reduce 243 to:
% 44.09/14.12  																				| (311) $false
% 44.09/14.12  																				|
% 44.09/14.12  																				|-The branch is then unsatisfiable
% 44.09/14.12  								|-Branch two:
% 44.09/14.12  								| (387)  ~ (all_0_86_86 = e1)
% 44.09/14.12  								| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 44.09/14.12  								|
% 44.09/14.12  									+-Applying beta-rule and splitting (388), into two cases.
% 44.09/14.12  									|-Branch one:
% 44.09/14.12  									| (482) all_0_87_87 = e1
% 44.09/14.12  									|
% 44.09/14.12  										| Combining equations (374,482) yields a new equation:
% 44.09/14.12  										| (408) e2 = e1
% 44.09/14.12  										|
% 44.09/14.12  										| Simplifying 408 yields:
% 44.09/14.12  										| (385) e2 = e1
% 44.09/14.12  										|
% 44.09/14.12  										| Equations (385) can reduce 243 to:
% 44.09/14.12  										| (311) $false
% 44.09/14.12  										|
% 44.09/14.12  										|-The branch is then unsatisfiable
% 44.09/14.12  									|-Branch two:
% 44.09/14.12  									| (625)  ~ (all_0_87_87 = e1)
% 44.09/14.12  									| (504) all_0_88_88 = e1
% 44.09/14.12  									|
% 44.09/14.12  										| Combining equations (504,507) yields a new equation:
% 44.09/14.12  										| (1107) e1 = e0
% 44.09/14.12  										|
% 44.09/14.12  										| Simplifying 1107 yields:
% 44.09/14.12  										| (865) e1 = e0
% 44.09/14.12  										|
% 44.09/14.12  										| Equations (865) can reduce 264 to:
% 44.09/14.12  										| (311) $false
% 44.09/14.12  										|
% 44.09/14.12  										|-The branch is then unsatisfiable
% 44.09/14.12  				|-Branch two:
% 44.09/14.12  				| (349)  ~ (all_0_87_87 = e2)
% 44.09/14.12  				| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 44.09/14.12  				|
% 44.09/14.12  					+-Applying beta-rule and splitting (9508), into two cases.
% 44.09/14.12  					|-Branch one:
% 44.09/14.12  					| (374) all_0_87_87 = e2
% 44.09/14.12  					|
% 44.09/14.12  						| Equations (374) can reduce 349 to:
% 44.09/14.12  						| (311) $false
% 44.09/14.12  						|
% 44.09/14.12  						|-The branch is then unsatisfiable
% 44.09/14.12  					|-Branch two:
% 44.09/14.12  					| (349)  ~ (all_0_87_87 = e2)
% 44.09/14.12  					| (370) all_0_88_88 = e2
% 44.09/14.12  					|
% 44.09/14.12  						| Equations (370) can reduce 266 to:
% 44.09/14.12  						| (396)  ~ (all_0_81_81 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 78 to:
% 44.09/14.12  						| (515)  ~ (all_0_85_85 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 80 to:
% 44.09/14.12  						| (9507)  ~ (all_0_86_86 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 181 to:
% 44.09/14.12  						| (349)  ~ (all_0_87_87 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 286 to:
% 44.09/14.12  						| (299)  ~ (all_0_93_93 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Simplifying 299 yields:
% 44.09/14.12  						| (300)  ~ (all_0_93_93 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 31 to:
% 44.09/14.12  						| (1348)  ~ (all_0_98_98 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Simplifying 1348 yields:
% 44.09/14.12  						| (1349)  ~ (all_0_98_98 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Equations (370) can reduce 191 to:
% 44.09/14.12  						| (356)  ~ (e3 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| Simplifying 356 yields:
% 44.09/14.12  						| (169)  ~ (e3 = e2)
% 44.09/14.12  						|
% 44.09/14.12  						| From (370) and (253) follows:
% 44.09/14.12  						| (18815) op(e2, e2) = all_0_19_19
% 44.09/14.12  						|
% 44.09/14.12  						| From (370) and (141) follows:
% 44.09/14.12  						| (18816) op(e2, e0) = all_0_20_20
% 44.09/14.12  						|
% 44.09/14.12  						| From (370) and (161) follows:
% 44.18/14.12  						| (18817) op(e2, e2) = all_0_74_74
% 44.18/14.12  						|
% 44.18/14.12  						| From (370) and (230) follows:
% 44.18/14.12  						| (18818) op(e2, e0) = e2
% 44.18/14.12  						|
% 44.18/14.12  						| From (370) and (239) follows:
% 44.18/14.12  						| (18819) op(e0, e2) = all_0_73_73
% 44.18/14.12  						|
% 44.18/14.12  						| Instantiating formula (262) with e2, e2, all_0_19_19, e4 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e4, yields:
% 44.18/14.12  						| (18820) all_0_19_19 = e4
% 44.18/14.12  						|
% 44.18/14.12  						| Instantiating formula (262) with e2, e2, all_0_74_74, all_0_19_19 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = all_0_74_74, yields:
% 44.18/14.12  						| (18821) all_0_19_19 = all_0_74_74
% 44.18/14.12  						|
% 44.18/14.12  						| Instantiating formula (262) with e2, e0, e2, all_0_20_20 and discharging atoms op(e2, e0) = all_0_20_20, op(e2, e0) = e2, yields:
% 44.18/14.12  						| (18822) all_0_20_20 = e2
% 44.18/14.12  						|
% 44.18/14.12  						| Instantiating formula (262) with e0, e2, all_0_73_73, all_0_96_96 and discharging atoms op(e0, e2) = all_0_73_73, op(e0, e2) = all_0_96_96, yields:
% 44.18/14.12  						| (18823) all_0_73_73 = all_0_96_96
% 44.18/14.12  						|
% 44.18/14.13  						| Combining equations (18820,18821) yields a new equation:
% 44.18/14.13  						| (18824) all_0_74_74 = e4
% 44.18/14.13  						|
% 44.18/14.13  						| From (18824) and (18817) follows:
% 44.18/14.13  						| (6) op(e2, e2) = e4
% 44.18/14.13  						|
% 44.18/14.13  						| From (18822) and (18816) follows:
% 44.18/14.13  						| (18818) op(e2, e0) = e2
% 44.18/14.13  						|
% 44.18/14.13  						| From (18823) and (18819) follows:
% 44.18/14.13  						| (59) op(e0, e2) = all_0_96_96
% 44.18/14.13  						|
% 44.18/14.13  						+-Applying beta-rule and splitting (42), into two cases.
% 44.18/14.13  						|-Branch one:
% 44.18/14.13  						| (384) all_0_86_86 = e1
% 44.18/14.13  						|
% 44.18/14.13  							| Equations (384) can reduce 82 to:
% 44.18/14.13  							| (1601)  ~ (all_0_78_78 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 81 to:
% 44.18/14.13  							| (198)  ~ (all_0_82_82 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 162 to:
% 44.18/14.13  							| (18831)  ~ (all_0_87_87 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 18831 yields:
% 44.18/14.13  							| (625)  ~ (all_0_87_87 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 139 to:
% 44.18/14.13  							| (677)  ~ (all_0_90_90 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 677 yields:
% 44.18/14.13  							| (678)  ~ (all_0_90_90 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 91 to:
% 44.18/14.13  							| (679)  ~ (all_0_95_95 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 679 yields:
% 44.18/14.13  							| (680)  ~ (all_0_95_95 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 241 to:
% 44.18/14.13  							| (681)  ~ (e4 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 681 yields:
% 44.18/14.13  							| (256)  ~ (e4 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 134 to:
% 44.18/14.13  							| (683)  ~ (e3 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 683 yields:
% 44.18/14.13  							| (20)  ~ (e3 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Equations (384) can reduce 9507 to:
% 44.18/14.13  							| (487)  ~ (e2 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| Simplifying 487 yields:
% 44.18/14.13  							| (243)  ~ (e2 = e1)
% 44.18/14.13  							|
% 44.18/14.13  							| From (384) and (74) follows:
% 44.18/14.13  							| (18843) op(e1, e3) = all_0_16_16
% 44.18/14.13  							|
% 44.18/14.13  							| From (384) and (130) follows:
% 44.18/14.13  							| (18844) op(e1, e2) = all_0_15_15
% 44.18/14.13  							|
% 44.18/14.13  							| From (384) and (110) follows:
% 44.18/14.13  							| (13661) op(e3, e1) = all_0_46_46
% 44.18/14.13  							|
% 44.18/14.13  							| From (384) and (167) follows:
% 44.18/14.13  							| (13662) op(e2, e1) = all_0_47_47
% 44.18/14.13  							|
% 44.18/14.13  							| From (384) and (245) follows:
% 44.18/14.13  							| (1844) op(e2, e3) = e1
% 44.18/14.13  							|
% 44.18/14.13  							+-Applying beta-rule and splitting (377), into two cases.
% 44.18/14.13  							|-Branch one:
% 44.18/14.13  							| (482) all_0_87_87 = e1
% 44.18/14.13  							|
% 44.18/14.13  								| Equations (482) can reduce 625 to:
% 44.18/14.13  								| (311) $false
% 44.18/14.13  								|
% 44.18/14.13  								|-The branch is then unsatisfiable
% 44.18/14.13  							|-Branch two:
% 44.18/14.13  							| (625)  ~ (all_0_87_87 = e1)
% 44.18/14.13  							| (861) all_0_87_87 = e0
% 44.18/14.13  							|
% 44.18/14.13  								| Equations (861) can reduce 73 to:
% 44.18/14.13  								| (166)  ~ (all_0_80_80 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 124 to:
% 44.18/14.13  								| (919)  ~ (all_0_84_84 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 94 to:
% 44.18/14.13  								| (2299)  ~ (all_0_92_92 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Simplifying 2299 yields:
% 44.18/14.13  								| (946)  ~ (all_0_92_92 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 221 to:
% 44.18/14.13  								| (938)  ~ (all_0_97_97 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Simplifying 938 yields:
% 44.18/14.13  								| (609)  ~ (all_0_97_97 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 216 to:
% 44.18/14.13  								| (904)  ~ (e4 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Simplifying 904 yields:
% 44.18/14.13  								| (23)  ~ (e4 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 227 to:
% 44.18/14.13  								| (906)  ~ (e3 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Simplifying 906 yields:
% 44.18/14.13  								| (50)  ~ (e3 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Equations (861) can reduce 349 to:
% 44.18/14.13  								| (510)  ~ (e2 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| Simplifying 510 yields:
% 44.18/14.13  								| (76)  ~ (e2 = e0)
% 44.18/14.13  								|
% 44.18/14.13  								| From (861) and (18) follows:
% 44.18/14.13  								| (18864) op(e0, e2) = all_0_17_17
% 44.18/14.13  								|
% 44.18/14.13  								| From (861) and (149) follows:
% 44.18/14.14  								| (18865) op(e0, e1) = all_0_18_18
% 44.18/14.14  								|
% 44.18/14.14  								| From (861) and (83) follows:
% 44.18/14.14  								| (6142) op(e2, e0) = all_0_65_65
% 44.18/14.14  								|
% 44.18/14.14  								| From (861) and (14) follows:
% 44.18/14.14  								| (1959) op(e2, e1) = e0
% 44.18/14.14  								|
% 44.18/14.14  								| From (861) and (16) follows:
% 44.18/14.14  								| (3518) op(e1, e0) = all_0_64_64
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e3, e1, all_0_46_46, all_0_84_84 and discharging atoms op(e3, e1) = all_0_46_46, op(e3, e1) = all_0_84_84, yields:
% 44.18/14.14  								| (13664) all_0_46_46 = all_0_84_84
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e2, e1, e0, all_0_47_47 and discharging atoms op(e2, e1) = all_0_47_47, op(e2, e1) = e0, yields:
% 44.18/14.14  								| (18870) all_0_47_47 = e0
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e2, e0, all_0_65_65, e2 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e2, yields:
% 44.18/14.14  								| (18871) all_0_65_65 = e2
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e1, e3, all_0_16_16, all_0_90_90 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = all_0_90_90, yields:
% 44.18/14.14  								| (18872) all_0_16_16 = all_0_90_90
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e1, e2, all_0_15_15, all_0_91_91 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = all_0_91_91, yields:
% 44.18/14.14  								| (18873) all_0_15_15 = all_0_91_91
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_93_93 and discharging atoms op(e1, e0) = all_0_64_64, op(e1, e0) = all_0_93_93, yields:
% 44.18/14.14  								| (8320) all_0_64_64 = all_0_93_93
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e0, e2, all_0_17_17, all_0_96_96 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = all_0_96_96, yields:
% 44.18/14.14  								| (18875) all_0_17_17 = all_0_96_96
% 44.18/14.14  								|
% 44.18/14.14  								| Instantiating formula (262) with e0, e1, all_0_18_18, all_0_97_97 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_97_97, yields:
% 44.18/14.14  								| (18876) all_0_18_18 = all_0_97_97
% 44.18/14.14  								|
% 44.18/14.14  								| From (13664) and (13661) follows:
% 44.18/14.14  								| (232) op(e3, e1) = all_0_84_84
% 44.18/14.14  								|
% 44.18/14.14  								| From (18870) and (13662) follows:
% 44.18/14.14  								| (1959) op(e2, e1) = e0
% 44.18/14.14  								|
% 44.18/14.14  								| From (18871) and (6142) follows:
% 44.18/14.14  								| (18818) op(e2, e0) = e2
% 44.18/14.14  								|
% 44.18/14.14  								| From (18872) and (18843) follows:
% 44.18/14.14  								| (218) op(e1, e3) = all_0_90_90
% 44.18/14.14  								|
% 44.18/14.14  								| From (18873) and (18844) follows:
% 44.18/14.14  								| (3) op(e1, e2) = all_0_91_91
% 44.18/14.14  								|
% 44.18/14.14  								| From (8320) and (3518) follows:
% 44.18/14.14  								| (231) op(e1, e0) = all_0_93_93
% 44.18/14.14  								|
% 44.18/14.14  								| From (18875) and (18864) follows:
% 44.18/14.15  								| (59) op(e0, e2) = all_0_96_96
% 44.18/14.15  								|
% 44.18/14.15  								| From (18876) and (18865) follows:
% 44.18/14.15  								| (147) op(e0, e1) = all_0_97_97
% 44.18/14.15  								|
% 44.18/14.15  								+-Applying beta-rule and splitting (143), into two cases.
% 44.18/14.15  								|-Branch one:
% 44.18/14.15  								| (390) all_0_79_79 = e2
% 44.18/14.15  								|
% 44.18/14.15  									| Combining equations (390,331) yields a new equation:
% 44.18/14.15  									| (391) all_0_39_39 = e2
% 44.18/14.15  									|
% 44.18/14.15  									| Equations (390) can reduce 66 to:
% 44.18/14.15  									| (346)  ~ (all_0_78_78 = e2)
% 44.18/14.15  									|
% 44.18/14.15  									+-Applying beta-rule and splitting (70), into two cases.
% 44.18/14.15  									|-Branch one:
% 44.18/14.15  									| (400) all_0_78_78 = e2
% 44.18/14.15  									|
% 44.18/14.15  										| Equations (400) can reduce 346 to:
% 44.18/14.15  										| (311) $false
% 44.18/14.15  										|
% 44.18/14.15  										|-The branch is then unsatisfiable
% 44.18/14.15  									|-Branch two:
% 44.18/14.15  									| (346)  ~ (all_0_78_78 = e2)
% 44.18/14.15  									| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 44.18/14.15  									|
% 44.18/14.15  										+-Applying beta-rule and splitting (403), into two cases.
% 44.18/14.15  										|-Branch one:
% 44.18/14.15  										| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 44.18/14.15  										|
% 44.18/14.15  											+-Applying beta-rule and splitting (404), into two cases.
% 44.18/14.15  											|-Branch one:
% 44.18/14.15  											| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 44.18/14.15  											|
% 44.18/14.15  												| Applying alpha-rule on (405) yields:
% 44.18/14.15  												| (406) all_0_39_39 = e1
% 44.18/14.15  												| (407)  ~ (all_0_40_40 = e4)
% 44.18/14.15  												|
% 44.18/14.15  												| Combining equations (406,391) yields a new equation:
% 44.18/14.15  												| (385) e2 = e1
% 44.18/14.15  												|
% 44.18/14.15  												| Equations (385) can reduce 243 to:
% 44.18/14.15  												| (311) $false
% 44.18/14.15  												|
% 44.18/14.15  												|-The branch is then unsatisfiable
% 44.18/14.15  											|-Branch two:
% 44.18/14.15  											| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 44.18/14.15  											|
% 44.18/14.15  												| Applying alpha-rule on (411) yields:
% 44.18/14.15  												| (337) all_0_41_41 = e0
% 44.18/14.15  												| (413)  ~ (all_0_42_42 = e4)
% 44.18/14.15  												|
% 44.18/14.15  												| Equations (336) can reduce 413 to:
% 44.18/14.15  												| (311) $false
% 44.18/14.15  												|
% 44.18/14.15  												|-The branch is then unsatisfiable
% 44.18/14.15  										|-Branch two:
% 44.18/14.15  										| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 44.18/14.15  										|
% 44.18/14.15  											| Applying alpha-rule on (415) yields:
% 44.18/14.15  											| (416) all_0_80_80 = e3
% 44.18/14.15  											| (417)  ~ (all_0_84_84 = e4)
% 44.18/14.15  											|
% 44.18/14.15  											| Equations (416) can reduce 273 to:
% 44.18/14.15  											| (421)  ~ (all_0_84_84 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| Simplifying 421 yields:
% 44.18/14.15  											| (422)  ~ (all_0_84_84 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| Equations (416) can reduce 49 to:
% 44.18/14.15  											| (425)  ~ (all_0_92_92 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| Simplifying 425 yields:
% 44.18/14.15  											| (426)  ~ (all_0_92_92 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| Equations (416) can reduce 202 to:
% 44.18/14.15  											| (427)  ~ (all_0_97_97 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| Simplifying 427 yields:
% 44.18/14.15  											| (428)  ~ (all_0_97_97 = e3)
% 44.18/14.15  											|
% 44.18/14.15  											| From (416) and (233) follows:
% 44.18/14.15  											| (432) op(e1, e3) = all_0_60_60
% 44.18/14.15  											|
% 44.18/14.15  											+-Applying beta-rule and splitting (129), into two cases.
% 44.18/14.15  											|-Branch one:
% 44.18/14.15  											| (676) all_0_78_78 = e1
% 44.18/14.15  											|
% 44.18/14.15  												| Equations (676) can reduce 1601 to:
% 44.18/14.15  												| (311) $false
% 44.18/14.15  												|
% 44.18/14.15  												|-The branch is then unsatisfiable
% 44.18/14.15  											|-Branch two:
% 44.18/14.15  											| (1601)  ~ (all_0_78_78 = e1)
% 44.18/14.15  											| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 44.18/14.15  											|
% 44.18/14.15  												+-Applying beta-rule and splitting (1602), into two cases.
% 44.18/14.15  												|-Branch one:
% 44.18/14.15  												| (457) all_0_79_79 = e1
% 44.18/14.15  												|
% 44.18/14.15  													| Combining equations (457,390) yields a new equation:
% 44.18/14.15  													| (385) e2 = e1
% 44.18/14.15  													|
% 44.18/14.15  													| Equations (385) can reduce 243 to:
% 44.18/14.15  													| (311) $false
% 44.18/14.15  													|
% 44.18/14.15  													|-The branch is then unsatisfiable
% 44.18/14.15  												|-Branch two:
% 44.18/14.15  												| (461)  ~ (all_0_79_79 = e1)
% 44.18/14.15  												| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 44.18/14.15  												|
% 44.18/14.15  													+-Applying beta-rule and splitting (24), into two cases.
% 44.18/14.15  													|-Branch one:
% 44.18/14.15  													| (400) all_0_78_78 = e2
% 44.18/14.15  													|
% 44.18/14.15  														| Equations (400) can reduce 346 to:
% 44.18/14.15  														| (311) $false
% 44.18/14.15  														|
% 44.18/14.15  														|-The branch is then unsatisfiable
% 44.18/14.15  													|-Branch two:
% 44.18/14.15  													| (346)  ~ (all_0_78_78 = e2)
% 44.18/14.15  													| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.18/14.15  													|
% 44.18/14.15  														+-Applying beta-rule and splitting (8180), into two cases.
% 44.18/14.15  														|-Branch one:
% 44.18/14.15  														| (824) all_0_80_80 = e1
% 44.18/14.15  														|
% 44.18/14.15  															| Combining equations (824,416) yields a new equation:
% 44.18/14.15  															| (772) e3 = e1
% 44.18/14.15  															|
% 44.18/14.15  															| Equations (772) can reduce 20 to:
% 44.18/14.15  															| (311) $false
% 44.18/14.15  															|
% 44.18/14.15  															|-The branch is then unsatisfiable
% 44.18/14.15  														|-Branch two:
% 44.18/14.15  														| (828)  ~ (all_0_80_80 = e1)
% 44.18/14.15  														| (477) all_0_81_81 = e1
% 44.18/14.15  														|
% 44.18/14.15  															+-Applying beta-rule and splitting (92), into two cases.
% 44.18/14.15  															|-Branch one:
% 44.18/14.15  															| (552) all_0_84_84 = e2
% 44.18/14.15  															|
% 44.18/14.15  																| Equations (552) can reduce 7 to:
% 44.18/14.15  																| (347)  ~ (all_0_82_82 = e2)
% 44.18/14.15  																|
% 44.18/14.15  																| Equations (552) can reduce 87 to:
% 44.18/14.15  																| (297)  ~ (all_0_92_92 = e2)
% 44.18/14.15  																|
% 44.18/14.15  																| Simplifying 297 yields:
% 44.18/14.15  																| (298)  ~ (all_0_92_92 = e2)
% 44.18/14.15  																|
% 44.18/14.15  																| Equations (552) can reduce 259 to:
% 44.18/14.15  																| (243)  ~ (e2 = e1)
% 44.18/14.15  																|
% 44.18/14.15  																| From (552) and (122) follows:
% 44.18/14.15  																| (555) op(e1, e2) = all_0_62_62
% 44.18/14.15  																|
% 44.18/14.15  																+-Applying beta-rule and splitting (56), into two cases.
% 44.18/14.15  																|-Branch one:
% 44.18/14.15  																| (463) all_0_78_78 = e4
% 44.18/14.15  																|
% 44.18/14.15  																	| Equations (463) can reduce 346 to:
% 44.18/14.15  																	| (79)  ~ (e4 = e2)
% 44.18/14.15  																	|
% 44.18/14.15  																	+-Applying beta-rule and splitting (246), into two cases.
% 44.18/14.15  																	|-Branch one:
% 44.18/14.15  																	| (400) all_0_78_78 = e2
% 44.18/14.15  																	|
% 44.18/14.15  																		| Combining equations (463,400) yields a new equation:
% 44.18/14.15  																		| (309) e4 = e2
% 44.18/14.15  																		|
% 44.18/14.15  																		| Simplifying 309 yields:
% 44.18/14.15  																		| (310) e4 = e2
% 44.18/14.15  																		|
% 44.18/14.15  																		| Equations (310) can reduce 79 to:
% 44.18/14.15  																		| (311) $false
% 44.18/14.15  																		|
% 44.18/14.15  																		|-The branch is then unsatisfiable
% 44.18/14.15  																	|-Branch two:
% 44.18/14.15  																	| (346)  ~ (all_0_78_78 = e2)
% 44.18/14.15  																	| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.18/14.15  																	|
% 44.18/14.15  																		+-Applying beta-rule and splitting (13415), into two cases.
% 44.18/14.15  																		|-Branch one:
% 44.18/14.15  																		| (530) all_0_82_82 = e2
% 44.18/14.15  																		|
% 44.18/14.15  																			| Equations (530) can reduce 347 to:
% 44.18/14.15  																			| (311) $false
% 44.18/14.15  																			|
% 44.18/14.15  																			|-The branch is then unsatisfiable
% 44.18/14.15  																		|-Branch two:
% 44.18/14.15  																		| (347)  ~ (all_0_82_82 = e2)
% 44.18/14.15  																		| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.18/14.15  																		|
% 44.18/14.15  																			+-Applying beta-rule and splitting (13419), into two cases.
% 44.18/14.15  																			|-Branch one:
% 44.18/14.15  																			| (345) all_0_86_86 = e2
% 44.18/14.15  																			|
% 44.18/14.15  																				| Combining equations (384,345) yields a new equation:
% 44.18/14.15  																				| (385) e2 = e1
% 44.18/14.15  																				|
% 44.18/14.15  																				| Equations (385) can reduce 243 to:
% 44.18/14.15  																				| (311) $false
% 44.18/14.15  																				|
% 44.18/14.15  																				|-The branch is then unsatisfiable
% 44.18/14.15  																			|-Branch two:
% 44.18/14.15  																			| (9507)  ~ (all_0_86_86 = e2)
% 44.18/14.15  																			| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 44.18/14.15  																			|
% 44.18/14.15  																				+-Applying beta-rule and splitting (13424), into two cases.
% 44.18/14.15  																				|-Branch one:
% 44.18/14.15  																				| (746) all_0_90_90 = e2
% 44.18/14.15  																				|
% 44.18/14.15  																					| Equations (746) can reduce 294 to:
% 44.18/14.15  																					| (311) $false
% 44.18/14.15  																					|
% 44.18/14.15  																					|-The branch is then unsatisfiable
% 44.18/14.15  																				|-Branch two:
% 44.18/14.15  																				| (294)  ~ (all_0_90_90 = e2)
% 44.18/14.15  																				| (767) all_0_95_95 = e2
% 44.18/14.15  																				|
% 44.18/14.15  																					| Equations (767) can reduce 105 to:
% 44.18/14.15  																					| (2376)  ~ (all_0_97_97 = e2)
% 44.18/14.15  																					|
% 44.18/14.15  																					| Simplifying 2376 yields:
% 44.18/14.15  																					| (527)  ~ (all_0_97_97 = e2)
% 44.18/14.15  																					|
% 44.18/14.15  																					+-Applying beta-rule and splitting (112), into two cases.
% 44.18/14.15  																					|-Branch one:
% 44.18/14.15  																					| (538) all_0_97_97 = e2
% 44.18/14.15  																					|
% 44.18/14.15  																						| Equations (538) can reduce 527 to:
% 44.18/14.15  																						| (311) $false
% 44.18/14.15  																						|
% 44.18/14.15  																						|-The branch is then unsatisfiable
% 44.18/14.15  																					|-Branch two:
% 44.18/14.15  																					| (527)  ~ (all_0_97_97 = e2)
% 44.18/14.15  																					| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.18/14.15  																					|
% 44.18/14.15  																						+-Applying beta-rule and splitting (541), into two cases.
% 44.18/14.15  																						|-Branch one:
% 44.18/14.15  																						| (542) all_0_97_97 = e1
% 44.18/14.15  																						|
% 44.18/14.15  																							| Equations (542) can reduce 22 to:
% 44.18/14.15  																							| (1479)  ~ (all_0_96_96 = e1)
% 44.18/14.15  																							|
% 44.18/14.15  																							| Equations (542) can reduce 428 to:
% 44.18/14.15  																							| (683)  ~ (e3 = e1)
% 44.18/14.15  																							|
% 44.18/14.15  																							| Simplifying 683 yields:
% 44.18/14.15  																							| (20)  ~ (e3 = e1)
% 44.18/14.15  																							|
% 44.18/14.15  																							| Equations (542) can reduce 527 to:
% 44.18/14.15  																							| (487)  ~ (e2 = e1)
% 44.18/14.15  																							|
% 44.18/14.15  																							| Simplifying 487 yields:
% 44.18/14.15  																							| (243)  ~ (e2 = e1)
% 44.18/14.15  																							|
% 44.18/14.15  																							| From (542) and (260) follows:
% 44.18/14.15  																							| (18969) op(e1, e1) = all_0_37_37
% 44.18/14.15  																							|
% 44.18/14.15  																							| From (542) and (252) follows:
% 44.18/14.15  																							| (3446) op(e1, e1) = all_0_67_67
% 44.18/14.15  																							|
% 44.18/14.15  																							+-Applying beta-rule and splitting (127), into two cases.
% 44.18/14.15  																							|-Branch one:
% 44.18/14.15  																							| (457) all_0_79_79 = e1
% 44.18/14.15  																							|
% 44.18/14.15  																								| Combining equations (390,457) yields a new equation:
% 44.18/14.15  																								| (408) e2 = e1
% 44.18/14.15  																								|
% 44.18/14.15  																								| Simplifying 408 yields:
% 44.18/14.15  																								| (385) e2 = e1
% 44.18/14.15  																								|
% 44.18/14.15  																								| Equations (385) can reduce 243 to:
% 44.18/14.15  																								| (311) $false
% 44.18/14.15  																								|
% 44.18/14.15  																								|-The branch is then unsatisfiable
% 44.18/14.15  																							|-Branch two:
% 44.18/14.15  																							| (461)  ~ (all_0_79_79 = e1)
% 44.18/14.15  																							| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.18/14.15  																							|
% 44.18/14.15  																								+-Applying beta-rule and splitting (462), into two cases.
% 44.18/14.15  																								|-Branch one:
% 44.18/14.15  																								| (801) all_0_91_91 = e1
% 44.18/14.15  																								|
% 44.18/14.15  																									| Equations (801) can reduce 265 to:
% 44.18/14.15  																									| (2131)  ~ (all_0_92_92 = e1)
% 44.18/14.15  																									|
% 44.18/14.15  																									| Simplifying 2131 yields:
% 44.18/14.15  																									| (840)  ~ (all_0_92_92 = e1)
% 44.18/14.15  																									|
% 44.18/14.15  																									| From (801) and (120) follows:
% 44.18/14.15  																									| (18980) op(e1, e2) = all_0_26_26
% 44.18/14.15  																									|
% 44.18/14.15  																									| From (801) and (224) follows:
% 44.18/14.16  																									| (18981) op(e1, e1) = all_0_25_25
% 44.18/14.16  																									|
% 44.18/14.16  																									| From (801) and (51) follows:
% 44.18/14.16  																									| (10725) op(e1, e1) = all_0_57_57
% 44.18/14.16  																									|
% 44.18/14.16  																									| From (801) and (3) follows:
% 44.18/14.16  																									| (18983) op(e1, e2) = e1
% 44.18/14.16  																									|
% 44.18/14.16  																									+-Applying beta-rule and splitting (119), into two cases.
% 44.18/14.16  																									|-Branch one:
% 44.18/14.16  																									| (1343) all_0_92_92 = e2
% 44.18/14.16  																									|
% 44.18/14.16  																										| Equations (1343) can reduce 298 to:
% 44.18/14.16  																										| (311) $false
% 44.18/14.16  																										|
% 44.18/14.16  																										|-The branch is then unsatisfiable
% 44.18/14.16  																									|-Branch two:
% 44.18/14.16  																									| (298)  ~ (all_0_92_92 = e2)
% 44.18/14.16  																									| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.18/14.16  																									|
% 44.18/14.16  																										+-Applying beta-rule and splitting (3735), into two cases.
% 44.18/14.16  																										|-Branch one:
% 44.18/14.16  																										| (836) all_0_92_92 = e1
% 44.18/14.16  																										|
% 44.18/14.16  																											| Equations (836) can reduce 840 to:
% 44.18/14.16  																											| (311) $false
% 44.18/14.16  																											|
% 44.18/14.16  																											|-The branch is then unsatisfiable
% 44.18/14.16  																										|-Branch two:
% 44.18/14.16  																										| (840)  ~ (all_0_92_92 = e1)
% 44.18/14.16  																										| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 44.18/14.16  																										|
% 44.18/14.16  																											+-Applying beta-rule and splitting (3800), into two cases.
% 44.18/14.16  																											|-Branch one:
% 44.18/14.16  																											| (882) all_0_92_92 = e3
% 44.18/14.16  																											|
% 44.18/14.16  																												| Equations (882) can reduce 426 to:
% 44.18/14.16  																												| (311) $false
% 44.18/14.16  																												|
% 44.18/14.16  																												|-The branch is then unsatisfiable
% 44.18/14.16  																											|-Branch two:
% 44.18/14.16  																											| (426)  ~ (all_0_92_92 = e3)
% 44.18/14.16  																											| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 44.18/14.16  																											|
% 44.18/14.16  																												+-Applying beta-rule and splitting (16683), into two cases.
% 44.18/14.16  																												|-Branch one:
% 44.18/14.16  																												| (942) all_0_92_92 = e0
% 44.18/14.16  																												|
% 44.18/14.16  																													| Equations (942) can reduce 946 to:
% 44.18/14.16  																													| (311) $false
% 44.18/14.16  																													|
% 44.18/14.16  																													|-The branch is then unsatisfiable
% 44.18/14.16  																												|-Branch two:
% 44.18/14.16  																												| (946)  ~ (all_0_92_92 = e0)
% 44.18/14.16  																												| (442) all_0_92_92 = e4
% 44.18/14.16  																												|
% 44.18/14.16  																													| Equations (442) can reduce 72 to:
% 44.18/14.16  																													| (467)  ~ (all_0_90_90 = e4)
% 44.18/14.16  																													|
% 44.18/14.16  																													| Equations (442) can reduce 946 to:
% 44.18/14.16  																													| (23)  ~ (e4 = e0)
% 44.18/14.16  																													|
% 44.18/14.16  																													| From (442) and (135) follows:
% 44.18/14.16  																													| (449) op(e1, e1) = e4
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 44.18/14.16  																													| (451) all_0_60_60 = all_0_90_90
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_26_26 and discharging atoms op(e1, e2) = all_0_26_26, op(e1, e2) = all_0_62_62, yields:
% 44.18/14.16  																													| (19004) all_0_26_26 = all_0_62_62
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e2, e1, all_0_26_26 and discharging atoms op(e1, e2) = all_0_26_26, op(e1, e2) = e1, yields:
% 44.18/14.16  																													| (19005) all_0_26_26 = e1
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e1, all_0_37_37, all_0_25_25 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = all_0_37_37, yields:
% 44.18/14.16  																													| (19006) all_0_25_25 = all_0_37_37
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e1, all_0_57_57, all_0_37_37 and discharging atoms op(e1, e1) = all_0_37_37, op(e1, e1) = all_0_57_57, yields:
% 44.18/14.16  																													| (19007) all_0_37_37 = all_0_57_57
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e1, all_0_67_67, all_0_25_25 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = all_0_67_67, yields:
% 44.18/14.16  																													| (19008) all_0_25_25 = all_0_67_67
% 44.18/14.16  																													|
% 44.18/14.16  																													| Instantiating formula (262) with e1, e1, e4, all_0_57_57 and discharging atoms op(e1, e1) = all_0_57_57, op(e1, e1) = e4, yields:
% 44.18/14.16  																													| (15069) all_0_57_57 = e4
% 44.18/14.16  																													|
% 44.18/14.16  																													| Combining equations (19006,19008) yields a new equation:
% 44.18/14.16  																													| (19010) all_0_37_37 = all_0_67_67
% 44.18/14.16  																													|
% 44.18/14.16  																													| Simplifying 19010 yields:
% 44.18/14.16  																													| (19011) all_0_37_37 = all_0_67_67
% 44.18/14.16  																													|
% 44.18/14.17  																													| Combining equations (19005,19004) yields a new equation:
% 44.18/14.17  																													| (1413) all_0_62_62 = e1
% 44.18/14.17  																													|
% 44.18/14.17  																													| Combining equations (19007,19011) yields a new equation:
% 44.18/14.17  																													| (19013) all_0_57_57 = all_0_67_67
% 44.18/14.17  																													|
% 44.18/14.17  																													| Simplifying 19013 yields:
% 44.18/14.17  																													| (10606) all_0_57_57 = all_0_67_67
% 44.18/14.17  																													|
% 44.18/14.17  																													| Combining equations (15069,10606) yields a new equation:
% 44.18/14.17  																													| (3520) all_0_67_67 = e4
% 44.18/14.17  																													|
% 44.18/14.17  																													+-Applying beta-rule and splitting (276), into two cases.
% 44.18/14.17  																													|-Branch one:
% 44.18/14.17  																													| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.18/14.17  																													|
% 44.18/14.17  																														+-Applying beta-rule and splitting (577), into two cases.
% 44.18/14.17  																														|-Branch one:
% 44.18/14.17  																														| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.18/14.17  																														|
% 44.18/14.17  																															+-Applying beta-rule and splitting (578), into two cases.
% 44.18/14.17  																															|-Branch one:
% 44.18/14.17  																															| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.18/14.17  																															|
% 44.18/14.17  																																| Applying alpha-rule on (579) yields:
% 44.18/14.17  																																| (580) all_0_60_60 = e4
% 44.18/14.17  																																| (581)  ~ (all_0_61_61 = e1)
% 44.18/14.17  																																|
% 44.18/14.17  																																| Combining equations (451,580) yields a new equation:
% 44.18/14.17  																																| (582) all_0_90_90 = e4
% 44.18/14.17  																																|
% 44.18/14.17  																																| Simplifying 582 yields:
% 44.18/14.17  																																| (583) all_0_90_90 = e4
% 44.18/14.17  																																|
% 44.18/14.17  																																| Equations (583) can reduce 467 to:
% 44.18/14.17  																																| (311) $false
% 44.18/14.17  																																|
% 44.18/14.17  																																|-The branch is then unsatisfiable
% 44.18/14.17  																															|-Branch two:
% 44.18/14.17  																															| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.18/14.17  																															|
% 44.18/14.17  																																| Applying alpha-rule on (585) yields:
% 44.18/14.17  																																| (586) all_0_62_62 = e3
% 44.18/14.17  																																| (587)  ~ (all_0_63_63 = e1)
% 44.18/14.17  																																|
% 44.18/14.17  																																| Combining equations (1413,586) yields a new equation:
% 44.18/14.17  																																| (772) e3 = e1
% 44.18/14.17  																																|
% 44.18/14.17  																																| Equations (772) can reduce 20 to:
% 44.18/14.17  																																| (311) $false
% 44.18/14.17  																																|
% 44.18/14.17  																																|-The branch is then unsatisfiable
% 44.18/14.17  																														|-Branch two:
% 44.18/14.17  																														| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.18/14.17  																														|
% 44.18/14.17  																															| Applying alpha-rule on (590) yields:
% 44.18/14.17  																															| (591) all_0_64_64 = e2
% 44.18/14.17  																															| (592)  ~ (all_0_65_65 = e1)
% 44.18/14.17  																															|
% 44.18/14.17  																															| Combining equations (8320,591) yields a new equation:
% 44.18/14.17  																															| (9123) all_0_93_93 = e2
% 44.18/14.17  																															|
% 44.18/14.17  																															| Simplifying 9123 yields:
% 44.18/14.17  																															| (522) all_0_93_93 = e2
% 44.18/14.17  																															|
% 44.18/14.17  																															| Equations (522) can reduce 300 to:
% 44.18/14.17  																															| (311) $false
% 44.18/14.17  																															|
% 44.18/14.17  																															|-The branch is then unsatisfiable
% 44.18/14.17  																													|-Branch two:
% 44.18/14.17  																													| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.18/14.17  																													|
% 44.18/14.17  																														| Applying alpha-rule on (596) yields:
% 44.18/14.17  																														| (597) all_0_67_67 = e0
% 44.18/14.17  																														| (598)  ~ (all_0_68_68 = e1)
% 44.18/14.17  																														|
% 44.18/14.17  																														| Combining equations (3520,597) yields a new equation:
% 44.18/14.17  																														| (911) e4 = e0
% 44.18/14.17  																														|
% 44.18/14.17  																														| Simplifying 911 yields:
% 44.18/14.17  																														| (912) e4 = e0
% 44.18/14.17  																														|
% 44.18/14.17  																														| Equations (912) can reduce 23 to:
% 44.18/14.17  																														| (311) $false
% 44.18/14.17  																														|
% 44.18/14.17  																														|-The branch is then unsatisfiable
% 44.23/14.17  																								|-Branch two:
% 44.23/14.17  																								| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.17  																								| (960) all_0_96_96 = e1
% 44.23/14.17  																								|
% 44.23/14.17  																									| Equations (960) can reduce 1479 to:
% 44.23/14.17  																									| (311) $false
% 44.23/14.17  																									|
% 44.23/14.17  																									|-The branch is then unsatisfiable
% 44.23/14.17  																						|-Branch two:
% 44.23/14.17  																						| (486)  ~ (all_0_97_97 = e1)
% 44.23/14.17  																						| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.23/14.17  																						|
% 44.23/14.17  																							+-Applying beta-rule and splitting (545), into two cases.
% 44.23/14.17  																							|-Branch one:
% 44.23/14.17  																							| (556) all_0_97_97 = e3
% 44.23/14.17  																							|
% 44.23/14.17  																								| Equations (556) can reduce 428 to:
% 44.23/14.17  																								| (311) $false
% 44.23/14.17  																								|
% 44.23/14.17  																								|-The branch is then unsatisfiable
% 44.23/14.17  																							|-Branch two:
% 44.23/14.17  																							| (428)  ~ (all_0_97_97 = e3)
% 44.23/14.17  																							| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 44.23/14.17  																							|
% 44.23/14.17  																								+-Applying beta-rule and splitting (559), into two cases.
% 44.23/14.17  																								|-Branch one:
% 44.23/14.17  																								| (560) all_0_97_97 = e0
% 44.23/14.17  																								|
% 44.23/14.17  																									| Equations (560) can reduce 609 to:
% 44.23/14.17  																									| (311) $false
% 44.23/14.17  																									|
% 44.23/14.17  																									|-The branch is then unsatisfiable
% 44.23/14.17  																								|-Branch two:
% 44.23/14.17  																								| (609)  ~ (all_0_97_97 = e0)
% 44.23/14.17  																								| (610) all_0_97_97 = e4
% 44.23/14.17  																								|
% 44.23/14.17  																									| Equations (610) can reduce 319 to:
% 44.23/14.17  																									| (311) $false
% 44.23/14.17  																									|
% 44.23/14.17  																									|-The branch is then unsatisfiable
% 44.23/14.17  																|-Branch two:
% 44.23/14.17  																| (640)  ~ (all_0_78_78 = e4)
% 44.23/14.17  																| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.23/14.17  																|
% 44.23/14.17  																	+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.17  																	|-Branch one:
% 44.23/14.17  																	| (433) all_0_80_80 = e4
% 44.23/14.17  																	|
% 44.23/14.17  																		| Combining equations (416,433) yields a new equation:
% 44.23/14.17  																		| (434) e4 = e3
% 44.23/14.17  																		|
% 44.23/14.17  																		| Equations (434) can reduce 177 to:
% 44.23/14.17  																		| (311) $false
% 44.23/14.17  																		|
% 44.23/14.17  																		|-The branch is then unsatisfiable
% 44.23/14.17  																	|-Branch two:
% 44.23/14.17  																	| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.17  																	| (638) all_0_81_81 = e4
% 44.23/14.17  																	|
% 44.23/14.17  																		| Combining equations (477,638) yields a new equation:
% 44.23/14.17  																		| (814) e4 = e1
% 44.23/14.17  																		|
% 44.23/14.17  																		| Equations (814) can reduce 256 to:
% 44.23/14.17  																		| (311) $false
% 44.23/14.17  																		|
% 44.23/14.17  																		|-The branch is then unsatisfiable
% 44.23/14.17  															|-Branch two:
% 44.23/14.17  															| (612)  ~ (all_0_84_84 = e2)
% 44.23/14.17  															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.23/14.17  															|
% 44.23/14.17  																+-Applying beta-rule and splitting (617), into two cases.
% 44.23/14.17  																|-Branch one:
% 44.23/14.17  																| (1265) all_0_84_84 = e3
% 44.23/14.17  																|
% 44.23/14.17  																	| Equations (1265) can reduce 422 to:
% 44.23/14.17  																	| (311) $false
% 44.23/14.17  																	|
% 44.23/14.17  																	|-The branch is then unsatisfiable
% 44.23/14.17  																|-Branch two:
% 44.23/14.17  																| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.17  																| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.23/14.17  																|
% 44.23/14.17  																	+-Applying beta-rule and splitting (1268), into two cases.
% 44.23/14.17  																	|-Branch one:
% 44.23/14.17  																	| (916) all_0_84_84 = e0
% 44.23/14.17  																	|
% 44.23/14.17  																		| Equations (916) can reduce 919 to:
% 44.23/14.17  																		| (311) $false
% 44.23/14.17  																		|
% 44.23/14.17  																		|-The branch is then unsatisfiable
% 44.23/14.17  																	|-Branch two:
% 44.23/14.17  																	| (919)  ~ (all_0_84_84 = e0)
% 44.23/14.17  																	| (438) all_0_84_84 = e4
% 44.23/14.17  																	|
% 44.23/14.17  																		| Equations (438) can reduce 417 to:
% 44.23/14.17  																		| (311) $false
% 44.23/14.17  																		|
% 44.23/14.17  																		|-The branch is then unsatisfiable
% 44.23/14.17  								|-Branch two:
% 44.23/14.17  								| (1622)  ~ (all_0_79_79 = e2)
% 44.23/14.17  								| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 44.23/14.17  								|
% 44.23/14.17  									+-Applying beta-rule and splitting (248), into two cases.
% 44.23/14.17  									|-Branch one:
% 44.23/14.17  									| (390) all_0_79_79 = e2
% 44.23/14.17  									|
% 44.23/14.17  										| Equations (390) can reduce 1622 to:
% 44.23/14.17  										| (311) $false
% 44.23/14.17  										|
% 44.23/14.17  										|-The branch is then unsatisfiable
% 44.23/14.17  									|-Branch two:
% 44.23/14.17  									| (1622)  ~ (all_0_79_79 = e2)
% 44.23/14.17  									| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 44.23/14.17  									|
% 44.23/14.17  										+-Applying beta-rule and splitting (52), into two cases.
% 44.23/14.17  										|-Branch one:
% 44.23/14.17  										| (453) all_0_83_83 = e2
% 44.23/14.17  										|
% 44.23/14.17  											| Equations (453) can reduce 272 to:
% 44.23/14.17  											| (1622)  ~ (all_0_79_79 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Equations (453) can reduce 226 to:
% 44.23/14.17  											| (691)  ~ (all_0_85_85 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Simplifying 691 yields:
% 44.23/14.17  											| (515)  ~ (all_0_85_85 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Equations (453) can reduce 146 to:
% 44.23/14.17  											| (295)  ~ (all_0_91_91 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Simplifying 295 yields:
% 44.23/14.17  											| (296)  ~ (all_0_91_91 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Equations (453) can reduce 211 to:
% 44.23/14.17  											| (1637)  ~ (all_0_96_96 = e2)
% 44.23/14.17  											|
% 44.23/14.17  											| Simplifying 1637 yields:
% 44.23/14.18  											| (1638)  ~ (all_0_96_96 = e2)
% 44.23/14.18  											|
% 44.23/14.18  											| Equations (453) can reduce 155 to:
% 44.23/14.18  											| (528)  ~ (e4 = e2)
% 44.23/14.18  											|
% 44.23/14.18  											| Simplifying 528 yields:
% 44.23/14.18  											| (79)  ~ (e4 = e2)
% 44.23/14.18  											|
% 44.23/14.18  											| From (453) and (29) follows:
% 44.23/14.18  											| (1641) op(e2, e3) = all_0_9_9
% 44.23/14.18  											|
% 44.23/14.18  											| From (453) and (234) follows:
% 44.23/14.18  											| (1642) op(e2, e2) = all_0_10_10
% 44.23/14.18  											|
% 44.23/14.18  											| From (453) and (163) follows:
% 44.23/14.18  											| (13410) op(e3, e2) = all_0_55_55
% 44.23/14.18  											|
% 44.23/14.18  											| From (453) and (174) follows:
% 44.23/14.18  											| (13287) op(e3, e2) = e2
% 44.23/14.18  											|
% 44.23/14.18  											| From (453) and (206) follows:
% 44.23/14.18  											| (1643) op(e2, e2) = all_0_54_54
% 44.23/14.18  											|
% 44.23/14.18  											| Instantiating formula (262) with e3, e2, e2, all_0_55_55 and discharging atoms op(e3, e2) = all_0_55_55, op(e3, e2) = e2, yields:
% 44.23/14.18  											| (12242) all_0_55_55 = e2
% 44.23/14.18  											|
% 44.23/14.18  											| Instantiating formula (262) with e2, e3, all_0_9_9, e1 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e1, yields:
% 44.23/14.18  											| (19097) all_0_9_9 = e1
% 44.23/14.18  											|
% 44.23/14.18  											| Instantiating formula (262) with e2, e2, all_0_10_10, e4 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = e4, yields:
% 44.23/14.18  											| (1645) all_0_10_10 = e4
% 44.23/14.18  											|
% 44.23/14.18  											| Instantiating formula (262) with e2, e2, all_0_54_54, all_0_10_10 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = all_0_54_54, yields:
% 44.23/14.18  											| (1646) all_0_10_10 = all_0_54_54
% 44.23/14.18  											|
% 44.23/14.18  											| Combining equations (1645,1646) yields a new equation:
% 44.23/14.18  											| (1647) all_0_54_54 = e4
% 44.23/14.18  											|
% 44.23/14.18  											| From (12242) and (13410) follows:
% 44.23/14.18  											| (13287) op(e3, e2) = e2
% 44.23/14.18  											|
% 44.23/14.18  											| From (19097) and (1641) follows:
% 44.23/14.18  											| (1844) op(e2, e3) = e1
% 44.23/14.18  											|
% 44.23/14.18  											+-Applying beta-rule and splitting (219), into two cases.
% 44.23/14.18  											|-Branch one:
% 44.23/14.18  											| (798) all_0_83_83 = e0
% 44.23/14.18  											|
% 44.23/14.18  												| Combining equations (453,798) yields a new equation:
% 44.23/14.18  												| (923) e2 = e0
% 44.23/14.18  												|
% 44.23/14.18  												| Simplifying 923 yields:
% 44.23/14.18  												| (379) e2 = e0
% 44.23/14.18  												|
% 44.23/14.18  												| Equations (379) can reduce 76 to:
% 44.23/14.18  												| (311) $false
% 44.23/14.18  												|
% 44.23/14.18  												|-The branch is then unsatisfiable
% 44.23/14.18  											|-Branch two:
% 44.23/14.18  											| (1314)  ~ (all_0_83_83 = e0)
% 44.23/14.18  											| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 44.23/14.18  											|
% 44.23/14.18  												+-Applying beta-rule and splitting (101), into two cases.
% 44.23/14.18  												|-Branch one:
% 44.23/14.18  												| (400) all_0_78_78 = e2
% 44.23/14.18  												|
% 44.23/14.18  													| Equations (400) can reduce 66 to:
% 44.23/14.18  													| (9970)  ~ (all_0_79_79 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Simplifying 9970 yields:
% 44.23/14.18  													| (1622)  ~ (all_0_79_79 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Equations (400) can reduce 278 to:
% 44.23/14.18  													| (395)  ~ (all_0_81_81 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Simplifying 395 yields:
% 44.23/14.18  													| (396)  ~ (all_0_81_81 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Equations (400) can reduce 193 to:
% 44.23/14.18  													| (9974)  ~ (all_0_82_82 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Simplifying 9974 yields:
% 44.23/14.18  													| (347)  ~ (all_0_82_82 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Equations (400) can reduce 125 to:
% 44.23/14.18  													| (354)  ~ (all_0_95_95 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Simplifying 354 yields:
% 44.23/14.18  													| (355)  ~ (all_0_95_95 = e2)
% 44.23/14.18  													|
% 44.23/14.18  													| Equations (400) can reduce 1601 to:
% 44.23/14.18  													| (243)  ~ (e2 = e1)
% 44.23/14.18  													|
% 44.23/14.18  													+-Applying beta-rule and splitting (97), into two cases.
% 44.23/14.18  													|-Branch one:
% 44.23/14.18  													| (1757) all_0_94_94 = e2
% 44.23/14.18  													|
% 44.23/14.18  														| Combining equations (1757,313) yields a new equation:
% 44.23/14.18  														| (310) e4 = e2
% 44.23/14.18  														|
% 44.23/14.18  														| Equations (310) can reduce 79 to:
% 44.23/14.18  														| (311) $false
% 44.23/14.18  														|
% 44.23/14.18  														|-The branch is then unsatisfiable
% 44.23/14.18  													|-Branch two:
% 44.23/14.18  													| (1761)  ~ (all_0_94_94 = e2)
% 44.23/14.18  													| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.23/14.18  													|
% 44.23/14.18  														+-Applying beta-rule and splitting (1762), into two cases.
% 44.23/14.18  														|-Branch one:
% 44.23/14.18  														| (767) all_0_95_95 = e2
% 44.23/14.18  														|
% 44.23/14.18  															| Equations (767) can reduce 355 to:
% 44.23/14.18  															| (311) $false
% 44.23/14.18  															|
% 44.23/14.18  															|-The branch is then unsatisfiable
% 44.23/14.18  														|-Branch two:
% 44.23/14.18  														| (355)  ~ (all_0_95_95 = e2)
% 44.23/14.18  														| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.23/14.18  														|
% 44.23/14.18  															+-Applying beta-rule and splitting (1772), into two cases.
% 44.23/14.18  															|-Branch one:
% 44.23/14.18  															| (1704) all_0_96_96 = e2
% 44.23/14.18  															|
% 44.23/14.18  																| Equations (1704) can reduce 1638 to:
% 44.23/14.18  																| (311) $false
% 44.23/14.18  																|
% 44.23/14.18  																|-The branch is then unsatisfiable
% 44.23/14.18  															|-Branch two:
% 44.23/14.18  															| (1638)  ~ (all_0_96_96 = e2)
% 44.23/14.18  															| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 44.23/14.18  															|
% 44.23/14.18  																+-Applying beta-rule and splitting (1783), into two cases.
% 44.23/14.18  																|-Branch one:
% 44.23/14.18  																| (538) all_0_97_97 = e2
% 44.23/14.18  																|
% 44.23/14.18  																	| Equations (538) can reduce 202 to:
% 44.23/14.18  																	| (394)  ~ (all_0_80_80 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 195 to:
% 44.23/14.18  																	| (612)  ~ (all_0_84_84 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 258 to:
% 44.23/14.18  																	| (298)  ~ (all_0_92_92 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 105 to:
% 44.23/14.18  																	| (355)  ~ (all_0_95_95 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 22 to:
% 44.23/14.18  																	| (1638)  ~ (all_0_96_96 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 148 to:
% 44.23/14.18  																	| (1348)  ~ (all_0_98_98 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Simplifying 1348 yields:
% 44.23/14.18  																	| (1349)  ~ (all_0_98_98 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 319 to:
% 44.23/14.18  																	| (528)  ~ (e4 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Simplifying 528 yields:
% 44.23/14.18  																	| (79)  ~ (e4 = e2)
% 44.23/14.18  																	|
% 44.23/14.18  																	| Equations (538) can reduce 609 to:
% 44.23/14.18  																	| (76)  ~ (e2 = e0)
% 44.23/14.18  																	|
% 44.23/14.18  																	| From (538) and (252) follows:
% 44.23/14.18  																	| (4070) op(e1, e2) = all_0_67_67
% 44.23/14.18  																	|
% 44.23/14.18  																	| From (538) and (69) follows:
% 44.23/14.18  																	| (1352) op(e0, e2) = all_0_68_68
% 44.23/14.18  																	|
% 44.23/14.18  																	| From (538) and (147) follows:
% 44.23/14.18  																	| (2838) op(e0, e1) = e2
% 44.23/14.18  																	|
% 44.23/14.18  																	| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 44.23/14.18  																	| (4077) all_0_67_67 = all_0_91_91
% 44.23/14.18  																	|
% 44.23/14.18  																	| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 44.23/14.18  																	| (1368) all_0_68_68 = all_0_96_96
% 44.23/14.18  																	|
% 44.23/14.18  																	+-Applying beta-rule and splitting (56), into two cases.
% 44.23/14.18  																	|-Branch one:
% 44.23/14.18  																	| (463) all_0_78_78 = e4
% 44.23/14.18  																	|
% 44.23/14.18  																		| Combining equations (400,463) yields a new equation:
% 44.23/14.18  																		| (310) e4 = e2
% 44.23/14.18  																		|
% 44.23/14.18  																		| Equations (310) can reduce 79 to:
% 44.23/14.18  																		| (311) $false
% 44.23/14.18  																		|
% 44.23/14.18  																		|-The branch is then unsatisfiable
% 44.23/14.18  																	|-Branch two:
% 44.23/14.18  																	| (640)  ~ (all_0_78_78 = e4)
% 44.23/14.18  																	| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.23/14.18  																	|
% 44.23/14.18  																		| Equations (400) can reduce 640 to:
% 44.23/14.18  																		| (528)  ~ (e4 = e2)
% 44.23/14.18  																		|
% 44.23/14.18  																		| Simplifying 528 yields:
% 44.23/14.18  																		| (79)  ~ (e4 = e2)
% 44.23/14.18  																		|
% 44.23/14.18  																		+-Applying beta-rule and splitting (249), into two cases.
% 44.23/14.18  																		|-Branch one:
% 44.23/14.18  																		| (910) all_0_82_82 = e0
% 44.23/14.18  																		|
% 44.23/14.18  																			| Equations (910) can reduce 7 to:
% 44.23/14.18  																			| (2207)  ~ (all_0_84_84 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Simplifying 2207 yields:
% 44.23/14.18  																			| (919)  ~ (all_0_84_84 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Equations (910) can reduce 255 to:
% 44.23/14.18  																			| (2710)  ~ (all_0_90_90 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Simplifying 2710 yields:
% 44.23/14.18  																			| (762)  ~ (all_0_90_90 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Equations (910) can reduce 200 to:
% 44.23/14.18  																			| (2712)  ~ (all_0_95_95 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Simplifying 2712 yields:
% 44.23/14.18  																			| (893)  ~ (all_0_95_95 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Equations (910) can reduce 198 to:
% 44.23/14.18  																			| (859)  ~ (e1 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| Simplifying 859 yields:
% 44.23/14.18  																			| (264)  ~ (e1 = e0)
% 44.23/14.18  																			|
% 44.23/14.18  																			| From (910) and (61) follows:
% 44.23/14.18  																			| (979) op(e3, e3) = e0
% 44.23/14.18  																			|
% 44.23/14.18  																			+-Applying beta-rule and splitting (4), into two cases.
% 44.23/14.18  																			|-Branch one:
% 44.23/14.18  																			| (463) all_0_78_78 = e4
% 44.23/14.18  																			|
% 44.23/14.18  																				| Combining equations (400,463) yields a new equation:
% 44.23/14.18  																				| (310) e4 = e2
% 44.23/14.18  																				|
% 44.23/14.18  																				| Equations (310) can reduce 79 to:
% 44.23/14.18  																				| (311) $false
% 44.23/14.18  																				|
% 44.23/14.18  																				|-The branch is then unsatisfiable
% 44.23/14.18  																			|-Branch two:
% 44.23/14.18  																			| (640)  ~ (all_0_78_78 = e4)
% 44.23/14.18  																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.23/14.18  																			|
% 44.23/14.18  																				+-Applying beta-rule and splitting (99), into two cases.
% 44.23/14.18  																				|-Branch one:
% 44.23/14.18  																				| (767) all_0_95_95 = e2
% 44.23/14.18  																				|
% 44.23/14.18  																					| Equations (767) can reduce 355 to:
% 44.23/14.18  																					| (311) $false
% 44.23/14.18  																					|
% 44.23/14.18  																					|-The branch is then unsatisfiable
% 44.23/14.18  																				|-Branch two:
% 44.23/14.18  																				| (355)  ~ (all_0_95_95 = e2)
% 44.23/14.19  																				| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 44.23/14.19  																				|
% 44.23/14.19  																					+-Applying beta-rule and splitting (770), into two cases.
% 44.23/14.19  																					|-Branch one:
% 44.23/14.19  																					| (785) all_0_95_95 = e1
% 44.23/14.19  																					|
% 44.23/14.19  																						| Equations (785) can reduce 680 to:
% 44.23/14.19  																						| (311) $false
% 44.23/14.19  																						|
% 44.23/14.19  																						|-The branch is then unsatisfiable
% 44.23/14.19  																					|-Branch two:
% 44.23/14.19  																					| (680)  ~ (all_0_95_95 = e1)
% 44.23/14.19  																					| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 44.23/14.19  																					|
% 44.23/14.19  																						+-Applying beta-rule and splitting (853), into two cases.
% 44.23/14.19  																						|-Branch one:
% 44.23/14.19  																						| (744) all_0_95_95 = e3
% 44.23/14.19  																						|
% 44.23/14.19  																							| Equations (744) can reduce 279 to:
% 44.23/14.19  																							| (1300)  ~ (all_0_96_96 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Simplifying 1300 yields:
% 44.23/14.19  																							| (964)  ~ (all_0_96_96 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Equations (744) can reduce 107 to:
% 44.23/14.19  																							| (1518)  ~ (all_0_98_98 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Simplifying 1518 yields:
% 44.23/14.19  																							| (1519)  ~ (all_0_98_98 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Equations (744) can reduce 315 to:
% 44.23/14.19  																							| (783)  ~ (e4 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Simplifying 783 yields:
% 44.23/14.19  																							| (177)  ~ (e4 = e3)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Equations (744) can reduce 355 to:
% 44.23/14.19  																							| (169)  ~ (e3 = e2)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Equations (744) can reduce 680 to:
% 44.23/14.19  																							| (20)  ~ (e3 = e1)
% 44.23/14.19  																							|
% 44.23/14.19  																							| Equations (744) can reduce 893 to:
% 44.23/14.19  																							| (50)  ~ (e3 = e0)
% 44.23/14.19  																							|
% 44.23/14.19  																							| From (744) and (121) follows:
% 44.23/14.19  																							| (10297) op(e3, e3) = all_0_50_50
% 44.23/14.19  																							|
% 44.23/14.19  																							| From (744) and (280) follows:
% 44.23/14.19  																							| (1521) op(e0, e3) = all_0_51_51
% 44.23/14.19  																							|
% 44.23/14.19  																							| From (744) and (275) follows:
% 44.23/14.19  																							| (1522) op(e0, e3) = e3
% 44.23/14.19  																							|
% 44.23/14.19  																							+-Applying beta-rule and splitting (3625), into two cases.
% 44.23/14.19  																							|-Branch one:
% 44.23/14.19  																							| (469) all_0_82_82 = e4
% 44.23/14.19  																							|
% 44.23/14.19  																								| Combining equations (910,469) yields a new equation:
% 44.23/14.19  																								| (912) e4 = e0
% 44.23/14.19  																								|
% 44.23/14.19  																								| Equations (912) can reduce 23 to:
% 44.23/14.19  																								| (311) $false
% 44.23/14.19  																								|
% 44.23/14.19  																								|-The branch is then unsatisfiable
% 44.23/14.19  																							|-Branch two:
% 44.23/14.19  																							| (465)  ~ (all_0_82_82 = e4)
% 44.23/14.19  																							| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.23/14.19  																							|
% 44.23/14.19  																								+-Applying beta-rule and splitting (3629), into two cases.
% 44.23/14.19  																								|-Branch one:
% 44.23/14.19  																								| (583) all_0_90_90 = e4
% 44.23/14.19  																								|
% 44.23/14.19  																									| Equations (583) can reduce 103 to:
% 44.23/14.19  																									| (3634)  ~ (all_0_91_91 = e4)
% 44.23/14.19  																									|
% 44.23/14.19  																									| Simplifying 3634 yields:
% 44.23/14.19  																									| (133)  ~ (all_0_91_91 = e4)
% 44.23/14.19  																									|
% 44.23/14.19  																									| Equations (583) can reduce 72 to:
% 44.23/14.19  																									| (1906)  ~ (all_0_92_92 = e4)
% 44.23/14.19  																									|
% 44.23/14.19  																									| Simplifying 1906 yields:
% 44.23/14.19  																									| (1619)  ~ (all_0_92_92 = e4)
% 44.23/14.19  																									|
% 44.23/14.19  																									| Equations (583) can reduce 678 to:
% 44.23/14.19  																									| (256)  ~ (e4 = e1)
% 44.23/14.19  																									|
% 44.23/14.19  																									| Equations (583) can reduce 762 to:
% 44.23/14.19  																									| (23)  ~ (e4 = e0)
% 44.23/14.19  																									|
% 44.23/14.19  																									| From (583) and (35) follows:
% 44.23/14.19  																									| (10485) op(e1, e4) = all_0_49_49
% 44.23/14.19  																									|
% 44.23/14.19  																									| Instantiating formula (262) with e3, e3, e0, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e0, yields:
% 44.23/14.19  																									| (974) all_0_50_50 = e0
% 44.23/14.19  																									|
% 44.23/14.19  																									| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 44.23/14.19  																									| (10505) all_0_49_49 = e2
% 44.23/14.19  																									|
% 44.23/14.19  																									| Instantiating formula (262) with e0, e3, e3, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e3, yields:
% 44.23/14.19  																									| (1551) all_0_51_51 = e3
% 44.23/14.19  																									|
% 44.23/14.19  																									| From (974) and (10297) follows:
% 44.23/14.19  																									| (979) op(e3, e3) = e0
% 44.23/14.19  																									|
% 44.23/14.19  																									| From (10505) and (10485) follows:
% 44.23/14.19  																									| (307) op(e1, e4) = e2
% 44.23/14.19  																									|
% 44.23/14.19  																									| From (1551) and (1521) follows:
% 44.23/14.19  																									| (1522) op(e0, e3) = e3
% 44.23/14.19  																									|
% 44.23/14.19  																									+-Applying beta-rule and splitting (109), into two cases.
% 44.23/14.19  																									|-Branch one:
% 44.23/14.19  																									| (469) all_0_82_82 = e4
% 44.23/14.19  																									|
% 44.23/14.19  																										| Combining equations (910,469) yields a new equation:
% 44.23/14.19  																										| (912) e4 = e0
% 44.23/14.19  																										|
% 44.23/14.19  																										| Equations (912) can reduce 23 to:
% 44.23/14.19  																										| (311) $false
% 44.23/14.19  																										|
% 44.23/14.19  																										|-The branch is then unsatisfiable
% 44.23/14.19  																									|-Branch two:
% 44.23/14.19  																									| (465)  ~ (all_0_82_82 = e4)
% 44.23/14.19  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.23/14.19  																									|
% 44.23/14.19  																										| Equations (910) can reduce 465 to:
% 44.23/14.19  																										| (904)  ~ (e4 = e0)
% 44.23/14.19  																										|
% 44.23/14.19  																										| Simplifying 904 yields:
% 44.23/14.19  																										| (23)  ~ (e4 = e0)
% 44.23/14.19  																										|
% 44.23/14.19  																										+-Applying beta-rule and splitting (102), into two cases.
% 44.23/14.19  																										|-Branch one:
% 44.23/14.19  																										| (858) all_0_95_95 = e0
% 44.23/14.19  																										|
% 44.23/14.19  																											| Combining equations (744,858) yields a new equation:
% 44.23/14.19  																											| (599) e3 = e0
% 44.23/14.19  																											|
% 44.23/14.19  																											| Simplifying 599 yields:
% 44.23/14.19  																											| (600) e3 = e0
% 44.23/14.19  																											|
% 44.23/14.19  																											| Equations (600) can reduce 50 to:
% 44.23/14.19  																											| (311) $false
% 44.23/14.19  																											|
% 44.23/14.19  																											|-The branch is then unsatisfiable
% 44.23/14.19  																										|-Branch two:
% 44.23/14.19  																										| (893)  ~ (all_0_95_95 = e0)
% 44.23/14.19  																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.23/14.19  																										|
% 44.23/14.19  																											| Equations (744) can reduce 893 to:
% 44.23/14.19  																											| (50)  ~ (e3 = e0)
% 44.23/14.19  																											|
% 44.23/14.19  																											+-Applying beta-rule and splitting (291), into two cases.
% 44.23/14.19  																											|-Branch one:
% 44.23/14.19  																											| (758) all_0_90_90 = e0
% 44.23/14.19  																											|
% 44.23/14.19  																												| Combining equations (583,758) yields a new equation:
% 44.23/14.19  																												| (911) e4 = e0
% 44.23/14.19  																												|
% 44.23/14.19  																												| Simplifying 911 yields:
% 44.23/14.19  																												| (912) e4 = e0
% 44.23/14.19  																												|
% 44.23/14.19  																												| Equations (912) can reduce 23 to:
% 44.23/14.19  																												| (311) $false
% 44.23/14.19  																												|
% 44.23/14.19  																												|-The branch is then unsatisfiable
% 44.23/14.19  																											|-Branch two:
% 44.23/14.19  																											| (762)  ~ (all_0_90_90 = e0)
% 44.23/14.19  																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.23/14.19  																											|
% 44.23/14.19  																												+-Applying beta-rule and splitting (171), into two cases.
% 44.23/14.19  																												|-Branch one:
% 44.23/14.19  																												| (789) all_0_82_82 = e3
% 44.23/14.19  																												|
% 44.23/14.19  																													| Combining equations (910,789) yields a new equation:
% 44.23/14.19  																													| (600) e3 = e0
% 44.23/14.19  																													|
% 44.23/14.19  																													| Equations (600) can reduce 50 to:
% 44.23/14.19  																													| (311) $false
% 44.23/14.19  																													|
% 44.23/14.19  																													|-The branch is then unsatisfiable
% 44.23/14.19  																												|-Branch two:
% 44.23/14.19  																												| (793)  ~ (all_0_82_82 = e3)
% 44.23/14.19  																												| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.19  																												|
% 44.23/14.19  																													+-Applying beta-rule and splitting (176), into two cases.
% 44.23/14.19  																													|-Branch one:
% 44.23/14.19  																													| (785) all_0_95_95 = e1
% 44.23/14.19  																													|
% 44.23/14.19  																														| Combining equations (744,785) yields a new equation:
% 44.23/14.19  																														| (825) e3 = e1
% 44.23/14.19  																														|
% 44.23/14.19  																														| Simplifying 825 yields:
% 44.23/14.19  																														| (772) e3 = e1
% 44.23/14.19  																														|
% 44.23/14.19  																														| Equations (772) can reduce 20 to:
% 44.23/14.19  																														| (311) $false
% 44.23/14.19  																														|
% 44.23/14.19  																														|-The branch is then unsatisfiable
% 44.23/14.19  																													|-Branch two:
% 44.23/14.19  																													| (680)  ~ (all_0_95_95 = e1)
% 44.23/14.19  																													| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.23/14.19  																													|
% 44.23/14.19  																														+-Applying beta-rule and splitting (84), into two cases.
% 44.23/14.19  																														|-Branch one:
% 44.23/14.19  																														| (1704) all_0_96_96 = e2
% 44.23/14.19  																														|
% 44.23/14.19  																															| Equations (1704) can reduce 1638 to:
% 44.23/14.19  																															| (311) $false
% 44.23/14.19  																															|
% 44.23/14.19  																															|-The branch is then unsatisfiable
% 44.23/14.19  																														|-Branch two:
% 44.23/14.19  																														| (1638)  ~ (all_0_96_96 = e2)
% 44.23/14.19  																														| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.23/14.19  																														|
% 44.23/14.19  																															+-Applying beta-rule and splitting (92), into two cases.
% 44.23/14.19  																															|-Branch one:
% 44.23/14.19  																															| (552) all_0_84_84 = e2
% 44.23/14.19  																															|
% 44.23/14.19  																																| Equations (552) can reduce 612 to:
% 44.23/14.19  																																| (311) $false
% 44.23/14.19  																																|
% 44.23/14.19  																																|-The branch is then unsatisfiable
% 44.23/14.19  																															|-Branch two:
% 44.23/14.19  																															| (612)  ~ (all_0_84_84 = e2)
% 44.23/14.19  																															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.23/14.19  																															|
% 44.23/14.19  																																+-Applying beta-rule and splitting (127), into two cases.
% 44.23/14.19  																																|-Branch one:
% 44.23/14.19  																																| (457) all_0_79_79 = e1
% 44.23/14.19  																																|
% 44.23/14.19  																																	| Equations (457) can reduce 63 to:
% 44.23/14.19  																																	| (1665)  ~ (all_0_80_80 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Simplifying 1665 yields:
% 44.23/14.19  																																	| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Equations (457) can reduce 214 to:
% 44.23/14.19  																																	| (1671)  ~ (all_0_96_96 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Simplifying 1671 yields:
% 44.23/14.19  																																	| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Equations (457) can reduce 1622 to:
% 44.23/14.19  																																	| (487)  ~ (e2 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Simplifying 487 yields:
% 44.23/14.19  																																	| (243)  ~ (e2 = e1)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	| Equations (457) can reduce 9 to:
% 44.23/14.19  																																	| (264)  ~ (e1 = e0)
% 44.23/14.19  																																	|
% 44.23/14.19  																																	+-Applying beta-rule and splitting (788), into two cases.
% 44.23/14.19  																																	|-Branch one:
% 44.23/14.19  																																	| (960) all_0_96_96 = e1
% 44.23/14.19  																																	|
% 44.23/14.19  																																		| Equations (960) can reduce 1479 to:
% 44.23/14.19  																																		| (311) $false
% 44.23/14.19  																																		|
% 44.23/14.19  																																		|-The branch is then unsatisfiable
% 44.23/14.19  																																	|-Branch two:
% 44.23/14.19  																																	| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.19  																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.23/14.19  																																	|
% 44.23/14.19  																																		+-Applying beta-rule and splitting (2126), into two cases.
% 44.23/14.19  																																		|-Branch one:
% 44.23/14.19  																																		| (542) all_0_97_97 = e1
% 44.23/14.19  																																		|
% 44.23/14.19  																																			| Combining equations (542,538) yields a new equation:
% 44.23/14.19  																																			| (385) e2 = e1
% 44.23/14.19  																																			|
% 44.23/14.19  																																			| Equations (385) can reduce 243 to:
% 44.23/14.19  																																			| (311) $false
% 44.23/14.19  																																			|
% 44.23/14.19  																																			|-The branch is then unsatisfiable
% 44.23/14.19  																																		|-Branch two:
% 44.23/14.19  																																		| (486)  ~ (all_0_97_97 = e1)
% 44.23/14.19  																																		| (1543) all_0_98_98 = e1
% 44.23/14.19  																																		|
% 44.23/14.19  																																			| Equations (1543) can reduce 43 to:
% 44.23/14.19  																																			| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.19  																																			|
% 44.23/14.19  																																			| Equations (1543) can reduce 1519 to:
% 44.23/14.19  																																			| (683)  ~ (e3 = e1)
% 44.23/14.19  																																			|
% 44.23/14.19  																																			| Simplifying 683 yields:
% 44.23/14.19  																																			| (20)  ~ (e3 = e1)
% 44.23/14.19  																																			|
% 44.23/14.19  																																			| Equations (1543) can reduce 1349 to:
% 44.23/14.19  																																			| (487)  ~ (e2 = e1)
% 44.23/14.19  																																			|
% 44.23/14.19  																																			| Simplifying 487 yields:
% 44.23/14.19  																																			| (243)  ~ (e2 = e1)
% 44.23/14.19  																																			|
% 44.23/14.19  																																			+-Applying beta-rule and splitting (151), into two cases.
% 44.23/14.19  																																			|-Branch one:
% 44.23/14.19  																																			| (824) all_0_80_80 = e1
% 44.23/14.19  																																			|
% 44.23/14.19  																																				| Equations (824) can reduce 828 to:
% 44.23/14.19  																																				| (311) $false
% 44.23/14.19  																																				|
% 44.23/14.19  																																				|-The branch is then unsatisfiable
% 44.23/14.19  																																			|-Branch two:
% 44.23/14.19  																																			| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.19  																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.19  																																			|
% 44.23/14.19  																																				+-Applying beta-rule and splitting (829), into two cases.
% 44.23/14.19  																																				|-Branch one:
% 44.23/14.19  																																				| (482) all_0_87_87 = e1
% 44.23/14.19  																																				|
% 44.23/14.19  																																					| Combining equations (861,482) yields a new equation:
% 44.23/14.19  																																					| (865) e1 = e0
% 44.23/14.19  																																					|
% 44.23/14.19  																																					| Equations (865) can reduce 264 to:
% 44.23/14.19  																																					| (311) $false
% 44.23/14.19  																																					|
% 44.23/14.19  																																					|-The branch is then unsatisfiable
% 44.23/14.19  																																				|-Branch two:
% 44.23/14.19  																																				| (625)  ~ (all_0_87_87 = e1)
% 44.23/14.19  																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.19  																																				|
% 44.23/14.19  																																					+-Applying beta-rule and splitting (285), into two cases.
% 44.23/14.19  																																					|-Branch one:
% 44.23/14.19  																																					| (1708) all_0_79_79 = e3
% 44.23/14.19  																																					|
% 44.23/14.19  																																						| Combining equations (457,1708) yields a new equation:
% 44.23/14.19  																																						| (772) e3 = e1
% 44.23/14.19  																																						|
% 44.23/14.19  																																						| Equations (772) can reduce 20 to:
% 44.23/14.19  																																						| (311) $false
% 44.23/14.19  																																						|
% 44.23/14.19  																																						|-The branch is then unsatisfiable
% 44.23/14.19  																																					|-Branch two:
% 44.23/14.19  																																					| (1711)  ~ (all_0_79_79 = e3)
% 44.23/14.19  																																					| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.23/14.19  																																					|
% 44.23/14.19  																																						+-Applying beta-rule and splitting (1707), into two cases.
% 44.23/14.19  																																						|-Branch one:
% 44.23/14.19  																																						| (960) all_0_96_96 = e1
% 44.23/14.19  																																						|
% 44.23/14.19  																																							| Equations (960) can reduce 1479 to:
% 44.23/14.19  																																							| (311) $false
% 44.23/14.19  																																							|
% 44.23/14.19  																																							|-The branch is then unsatisfiable
% 44.23/14.19  																																						|-Branch two:
% 44.23/14.19  																																						| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.19  																																						| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.23/14.19  																																						|
% 44.23/14.19  																																							+-Applying beta-rule and splitting (835), into two cases.
% 44.23/14.19  																																							|-Branch one:
% 44.23/14.19  																																							| (836) all_0_92_92 = e1
% 44.23/14.19  																																							|
% 44.23/14.19  																																								| Equations (836) can reduce 49 to:
% 44.23/14.19  																																								| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.19  																																								|
% 44.23/14.19  																																								| Equations (836) can reduce 87 to:
% 44.23/14.19  																																								| (259)  ~ (all_0_84_84 = e1)
% 44.23/14.19  																																								|
% 44.23/14.19  																																								+-Applying beta-rule and splitting (2016), into two cases.
% 44.23/14.19  																																								|-Branch one:
% 44.23/14.19  																																								| (778) all_0_96_96 = e3
% 44.23/14.19  																																								|
% 44.23/14.19  																																									| Equations (778) can reduce 964 to:
% 44.23/14.19  																																									| (311) $false
% 44.23/14.19  																																									|
% 44.23/14.19  																																									|-The branch is then unsatisfiable
% 44.23/14.19  																																								|-Branch two:
% 44.23/14.19  																																								| (964)  ~ (all_0_96_96 = e3)
% 44.23/14.19  																																								| (1837) all_0_96_96 = e0
% 44.23/14.19  																																								|
% 44.23/14.19  																																									| Combining equations (1837,18823) yields a new equation:
% 44.23/14.20  																																									| (19296) all_0_73_73 = e0
% 44.23/14.20  																																									|
% 44.23/14.20  																																									| Equations (1837) can reduce 64 to:
% 44.23/14.20  																																									| (1487)  ~ (all_0_91_91 = e0)
% 44.23/14.20  																																									|
% 44.23/14.20  																																									| Equations (1837) can reduce 964 to:
% 44.23/14.20  																																									| (906)  ~ (e3 = e0)
% 44.23/14.20  																																									|
% 44.23/14.20  																																									| Simplifying 906 yields:
% 44.23/14.20  																																									| (50)  ~ (e3 = e0)
% 44.23/14.20  																																									|
% 44.23/14.20  																																									| Equations (1837) can reduce 1479 to:
% 44.23/14.20  																																									| (859)  ~ (e1 = e0)
% 44.23/14.20  																																									|
% 44.23/14.20  																																									| Simplifying 859 yields:
% 44.23/14.20  																																									| (264)  ~ (e1 = e0)
% 44.23/14.20  																																									|
% 44.23/14.20  																																									+-Applying beta-rule and splitting (1455), into two cases.
% 44.23/14.20  																																									|-Branch one:
% 44.23/14.20  																																									| (1456) all_0_91_91 = e0
% 44.23/14.20  																																									|
% 44.23/14.20  																																										| Equations (1456) can reduce 1487 to:
% 44.23/14.20  																																										| (311) $false
% 44.23/14.20  																																										|
% 44.23/14.20  																																										|-The branch is then unsatisfiable
% 44.23/14.20  																																									|-Branch two:
% 44.23/14.20  																																									| (1487)  ~ (all_0_91_91 = e0)
% 44.23/14.20  																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.23/14.20  																																									|
% 44.23/14.20  																																										+-Applying beta-rule and splitting (1712), into two cases.
% 44.23/14.20  																																										|-Branch one:
% 44.23/14.20  																																										| (795) all_0_83_83 = e3
% 44.23/14.20  																																										|
% 44.23/14.20  																																											| Combining equations (453,795) yields a new equation:
% 44.23/14.20  																																											| (548) e3 = e2
% 44.23/14.20  																																											|
% 44.23/14.20  																																											| Equations (548) can reduce 169 to:
% 44.23/14.20  																																											| (311) $false
% 44.23/14.20  																																											|
% 44.23/14.20  																																											|-The branch is then unsatisfiable
% 44.23/14.20  																																										|-Branch two:
% 44.23/14.20  																																										| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.20  																																										| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.23/14.20  																																										|
% 44.23/14.20  																																											+-Applying beta-rule and splitting (284), into two cases.
% 44.23/14.20  																																											|-Branch one:
% 44.23/14.20  																																											| (1723) all_0_91_91 = e2
% 44.23/14.20  																																											|
% 44.23/14.20  																																												| Equations (1723) can reduce 296 to:
% 44.23/14.20  																																												| (311) $false
% 44.23/14.20  																																												|
% 44.23/14.20  																																												|-The branch is then unsatisfiable
% 44.23/14.20  																																											|-Branch two:
% 44.23/14.20  																																											| (296)  ~ (all_0_91_91 = e2)
% 44.23/14.20  																																											| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.23/14.20  																																											|
% 44.23/14.20  																																												+-Applying beta-rule and splitting (1842), into two cases.
% 44.23/14.20  																																												|-Branch one:
% 44.23/14.20  																																												| (588) all_0_91_91 = e3
% 44.23/14.20  																																												|
% 44.23/14.20  																																													| Equations (588) can reduce 133 to:
% 44.23/14.20  																																													| (783)  ~ (e4 = e3)
% 44.23/14.20  																																													|
% 44.23/14.20  																																													| Simplifying 783 yields:
% 44.23/14.20  																																													| (177)  ~ (e4 = e3)
% 44.23/14.20  																																													|
% 44.23/14.20  																																													| Equations (588) can reduce 296 to:
% 44.23/14.20  																																													| (169)  ~ (e3 = e2)
% 44.23/14.20  																																													|
% 44.23/14.20  																																													+-Applying beta-rule and splitting (65), into two cases.
% 44.23/14.20  																																													|-Branch one:
% 44.23/14.20  																																													| (522) all_0_93_93 = e2
% 44.23/14.20  																																													|
% 44.23/14.20  																																														| Equations (522) can reduce 300 to:
% 44.23/14.20  																																														| (311) $false
% 44.23/14.20  																																														|
% 44.23/14.20  																																														|-The branch is then unsatisfiable
% 44.23/14.20  																																													|-Branch two:
% 44.23/14.20  																																													| (300)  ~ (all_0_93_93 = e2)
% 44.23/14.20  																																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.23/14.20  																																													|
% 44.23/14.20  																																														+-Applying beta-rule and splitting (1488), into two cases.
% 44.23/14.20  																																														|-Branch one:
% 44.23/14.20  																																														| (942) all_0_92_92 = e0
% 44.23/14.20  																																														|
% 44.23/14.20  																																															| Combining equations (942,836) yields a new equation:
% 44.23/14.20  																																															| (865) e1 = e0
% 44.23/14.20  																																															|
% 44.23/14.20  																																															| Equations (865) can reduce 264 to:
% 44.23/14.20  																																															| (311) $false
% 44.23/14.20  																																															|
% 44.23/14.20  																																															|-The branch is then unsatisfiable
% 44.23/14.20  																																														|-Branch two:
% 44.23/14.20  																																														| (946)  ~ (all_0_92_92 = e0)
% 44.23/14.20  																																														| (604) all_0_93_93 = e0
% 44.23/14.20  																																														|
% 44.23/14.20  																																															| Equations (604) can reduce 300 to:
% 44.23/14.20  																																															| (510)  ~ (e2 = e0)
% 44.23/14.20  																																															|
% 44.23/14.20  																																															| Simplifying 510 yields:
% 44.23/14.20  																																															| (76)  ~ (e2 = e0)
% 44.23/14.20  																																															|
% 44.23/14.20  																																															| From (604) and (21) follows:
% 44.23/14.20  																																															| (19330) op(e1, e0) = all_0_76_76
% 44.23/14.20  																																															|
% 44.23/14.20  																																															| From (604) and (231) follows:
% 44.23/14.20  																																															| (4745) op(e1, e0) = e0
% 44.23/14.20  																																															|
% 44.23/14.20  																																															| Instantiating formula (262) with e1, e0, e0, all_0_76_76 and discharging atoms op(e1, e0) = all_0_76_76, op(e1, e0) = e0, yields:
% 44.23/14.20  																																															| (8960) all_0_76_76 = e0
% 44.23/14.20  																																															|
% 44.23/14.20  																																															+-Applying beta-rule and splitting (89), into two cases.
% 44.23/14.20  																																															|-Branch one:
% 44.23/14.20  																																															| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.23/14.20  																																															|
% 44.23/14.20  																																																+-Applying beta-rule and splitting (1373), into two cases.
% 44.23/14.20  																																																|-Branch one:
% 44.23/14.20  																																																| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.23/14.20  																																																|
% 44.23/14.20  																																																	+-Applying beta-rule and splitting (1374), into two cases.
% 44.23/14.20  																																																	|-Branch one:
% 44.23/14.20  																																																	| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.23/14.20  																																																	|
% 44.23/14.20  																																																		| Applying alpha-rule on (1375) yields:
% 44.23/14.20  																																																		| (1376) all_0_69_69 = e4
% 44.23/14.20  																																																		| (1377)  ~ (all_0_70_70 = e0)
% 44.23/14.20  																																																		|
% 44.23/14.20  																																																		| From (1376) and (145) follows:
% 44.23/14.20  																																																		| (19338) op(e0, all_0_81_81) = e4
% 44.23/14.20  																																																		|
% 44.23/14.20  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 44.23/14.20  																																																		|-Branch one:
% 44.23/14.20  																																																		| (635) all_0_81_81 = e3
% 44.23/14.20  																																																		|
% 44.23/14.20  																																																			| Equations (635) can reduce 144 to:
% 44.23/14.20  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																			| Equations (635) can reduce 118 to:
% 44.23/14.20  																																																			| (2358)  ~ (all_0_85_85 = e3)
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																			| Simplifying 2358 yields:
% 44.23/14.20  																																																			| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																			| Equations (635) can reduce 396 to:
% 44.23/14.20  																																																			| (169)  ~ (e3 = e2)
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																			| From (635) and (19338) follows:
% 44.23/14.20  																																																			| (19344) op(e0, e3) = e4
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																			+-Applying beta-rule and splitting (207), into two cases.
% 44.23/14.20  																																																			|-Branch one:
% 44.23/14.20  																																																			| (416) all_0_80_80 = e3
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																				| Equations (416) can reduce 2347 to:
% 44.23/14.20  																																																				| (311) $false
% 44.23/14.20  																																																				|
% 44.23/14.20  																																																				|-The branch is then unsatisfiable
% 44.23/14.20  																																																			|-Branch two:
% 44.23/14.20  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.20  																																																			| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																				+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.20  																																																				|-Branch one:
% 44.23/14.20  																																																				| (433) all_0_80_80 = e4
% 44.23/14.20  																																																				|
% 44.23/14.20  																																																					| Equations (433) can reduce 2347 to:
% 44.23/14.20  																																																					| (177)  ~ (e4 = e3)
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																					| Equations (433) can reduce 828 to:
% 44.23/14.20  																																																					| (256)  ~ (e4 = e1)
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																					| Equations (433) can reduce 166 to:
% 44.23/14.20  																																																					| (23)  ~ (e4 = e0)
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																					+-Applying beta-rule and splitting (168), into two cases.
% 44.23/14.20  																																																					|-Branch one:
% 44.23/14.20  																																																					| (638) all_0_81_81 = e4
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																						| Combining equations (635,638) yields a new equation:
% 44.23/14.20  																																																						| (434) e4 = e3
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						| Equations (434) can reduce 177 to:
% 44.23/14.20  																																																						| (311) $false
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						|-The branch is then unsatisfiable
% 44.23/14.20  																																																					|-Branch two:
% 44.23/14.20  																																																					| (634)  ~ (all_0_81_81 = e4)
% 44.23/14.20  																																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																						+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.20  																																																						|-Branch one:
% 44.23/14.20  																																																						| (795) all_0_83_83 = e3
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																							| Combining equations (453,795) yields a new equation:
% 44.23/14.20  																																																							| (548) e3 = e2
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																							| Equations (548) can reduce 169 to:
% 44.23/14.20  																																																							| (311) $false
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																							|-The branch is then unsatisfiable
% 44.23/14.20  																																																						|-Branch two:
% 44.23/14.20  																																																						| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.20  																																																						| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																							+-Applying beta-rule and splitting (617), into two cases.
% 44.23/14.20  																																																							|-Branch one:
% 44.23/14.20  																																																							| (1265) all_0_84_84 = e3
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																								| Equations (1265) can reduce 154 to:
% 44.23/14.20  																																																								| (2358)  ~ (all_0_85_85 = e3)
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																								| Simplifying 2358 yields:
% 44.23/14.20  																																																								| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																								+-Applying beta-rule and splitting (2559), into two cases.
% 44.23/14.20  																																																								|-Branch one:
% 44.23/14.20  																																																								| (493) all_0_85_85 = e4
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																									| Equations (493) can reduce 952 to:
% 44.23/14.20  																																																									| (177)  ~ (e4 = e3)
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																									| Instantiating formula (262) with e0, e3, e4, e3 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields:
% 44.23/14.20  																																																									| (434) e4 = e3
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																									| Equations (434) can reduce 177 to:
% 44.23/14.20  																																																									| (311) $false
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																									|-The branch is then unsatisfiable
% 44.23/14.20  																																																								|-Branch two:
% 44.23/14.20  																																																								| (648)  ~ (all_0_85_85 = e4)
% 44.23/14.20  																																																								| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																									+-Applying beta-rule and splitting (2576), into two cases.
% 44.23/14.20  																																																									|-Branch one:
% 44.23/14.20  																																																									| (607) all_0_93_93 = e4
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																										| Combining equations (604,607) yields a new equation:
% 44.23/14.20  																																																										| (912) e4 = e0
% 44.23/14.20  																																																										|
% 44.23/14.20  																																																										| Equations (912) can reduce 23 to:
% 44.23/14.20  																																																										| (311) $false
% 44.23/14.20  																																																										|
% 44.23/14.20  																																																										|-The branch is then unsatisfiable
% 44.23/14.20  																																																									|-Branch two:
% 44.23/14.20  																																																									| (496)  ~ (all_0_93_93 = e4)
% 44.23/14.20  																																																									| (2650) all_0_98_98 = e4
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																										| Combining equations (1543,2650) yields a new equation:
% 44.23/14.20  																																																										| (814) e4 = e1
% 44.23/14.20  																																																										|
% 44.23/14.20  																																																										| Equations (814) can reduce 256 to:
% 44.23/14.20  																																																										| (311) $false
% 44.23/14.20  																																																										|
% 44.23/14.20  																																																										|-The branch is then unsatisfiable
% 44.23/14.20  																																																							|-Branch two:
% 44.23/14.20  																																																							| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.20  																																																							| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																								+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.20  																																																								|-Branch one:
% 44.23/14.20  																																																								| (1265) all_0_84_84 = e3
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																									| Equations (1265) can reduce 422 to:
% 44.23/14.20  																																																									| (311) $false
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																									|-The branch is then unsatisfiable
% 44.23/14.20  																																																								|-Branch two:
% 44.23/14.20  																																																								| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.20  																																																								| (804) all_0_85_85 = e3
% 44.23/14.20  																																																								|
% 44.23/14.20  																																																									| Equations (804) can reduce 952 to:
% 44.23/14.20  																																																									| (311) $false
% 44.23/14.20  																																																									|
% 44.23/14.20  																																																									|-The branch is then unsatisfiable
% 44.23/14.20  																																																				|-Branch two:
% 44.23/14.20  																																																				| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.20  																																																				| (638) all_0_81_81 = e4
% 44.23/14.20  																																																				|
% 44.23/14.20  																																																					| Combining equations (635,638) yields a new equation:
% 44.23/14.20  																																																					| (434) e4 = e3
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																					| Equations (434) can reduce 177 to:
% 44.23/14.20  																																																					| (311) $false
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																					|-The branch is then unsatisfiable
% 44.23/14.20  																																																		|-Branch two:
% 44.23/14.20  																																																		| (420)  ~ (all_0_81_81 = e3)
% 44.23/14.20  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.20  																																																		|
% 44.23/14.20  																																																			+-Applying beta-rule and splitting (4488), into two cases.
% 44.23/14.20  																																																			|-Branch one:
% 44.23/14.20  																																																			| (804) all_0_85_85 = e3
% 44.23/14.20  																																																			|
% 44.23/14.20  																																																				+-Applying beta-rule and splitting (207), into two cases.
% 44.23/14.20  																																																				|-Branch one:
% 44.23/14.20  																																																				| (416) all_0_80_80 = e3
% 44.23/14.20  																																																				|
% 44.23/14.20  																																																					+-Applying beta-rule and splitting (168), into two cases.
% 44.23/14.20  																																																					|-Branch one:
% 44.23/14.20  																																																					| (638) all_0_81_81 = e4
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																						| From (638) and (68) follows:
% 44.23/14.20  																																																						| (657) op(e4, e4) = all_0_70_70
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 44.23/14.20  																																																						| (686) all_0_70_70 = e0
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						| Equations (686) can reduce 1377 to:
% 44.23/14.20  																																																						| (311) $false
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						|-The branch is then unsatisfiable
% 44.23/14.20  																																																					|-Branch two:
% 44.23/14.20  																																																					| (634)  ~ (all_0_81_81 = e4)
% 44.23/14.20  																																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																						+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.20  																																																						|-Branch one:
% 44.23/14.20  																																																						| (433) all_0_80_80 = e4
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																							| Combining equations (416,433) yields a new equation:
% 44.23/14.20  																																																							| (434) e4 = e3
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																							| Equations (434) can reduce 177 to:
% 44.23/14.20  																																																							| (311) $false
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																							|-The branch is then unsatisfiable
% 44.23/14.20  																																																						|-Branch two:
% 44.23/14.20  																																																						| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.20  																																																						| (638) all_0_81_81 = e4
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																							| Equations (638) can reduce 634 to:
% 44.23/14.20  																																																							| (311) $false
% 44.23/14.20  																																																							|
% 44.23/14.20  																																																							|-The branch is then unsatisfiable
% 44.23/14.20  																																																				|-Branch two:
% 44.23/14.20  																																																				| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.20  																																																				| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.23/14.20  																																																				|
% 44.23/14.20  																																																					+-Applying beta-rule and splitting (45), into two cases.
% 44.23/14.20  																																																					|-Branch one:
% 44.23/14.20  																																																					| (546) all_0_80_80 = e2
% 44.23/14.20  																																																					|
% 44.23/14.20  																																																						| Equations (546) can reduce 394 to:
% 44.23/14.20  																																																						| (311) $false
% 44.23/14.20  																																																						|
% 44.23/14.20  																																																						|-The branch is then unsatisfiable
% 44.23/14.20  																																																					|-Branch two:
% 44.23/14.20  																																																					| (394)  ~ (all_0_80_80 = e2)
% 44.23/14.20  																																																					| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						+-Applying beta-rule and splitting (472), into two cases.
% 44.23/14.21  																																																						|-Branch one:
% 44.23/14.21  																																																						| (438) all_0_84_84 = e4
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Equations (438) can reduce 273 to:
% 44.23/14.21  																																																							| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							+-Applying beta-rule and splitting (3232), into two cases.
% 44.23/14.21  																																																							|-Branch one:
% 44.23/14.21  																																																							| (824) all_0_80_80 = e1
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																								| Equations (824) can reduce 828 to:
% 44.23/14.21  																																																								| (311) $false
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																								|-The branch is then unsatisfiable
% 44.23/14.21  																																																							|-Branch two:
% 44.23/14.21  																																																							| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.21  																																																							| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																								+-Applying beta-rule and splitting (4018), into two cases.
% 44.23/14.21  																																																								|-Branch one:
% 44.23/14.21  																																																								| (416) all_0_80_80 = e3
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									| Equations (416) can reduce 2347 to:
% 44.23/14.21  																																																									| (311) $false
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									|-The branch is then unsatisfiable
% 44.23/14.21  																																																								|-Branch two:
% 44.23/14.21  																																																								| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.21  																																																								| (433) all_0_80_80 = e4
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									| Equations (433) can reduce 436 to:
% 44.23/14.21  																																																									| (311) $false
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									|-The branch is then unsatisfiable
% 44.23/14.21  																																																						|-Branch two:
% 44.23/14.21  																																																						| (417)  ~ (all_0_84_84 = e4)
% 44.23/14.21  																																																						| (493) all_0_85_85 = e4
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (804,493) yields a new equation:
% 44.23/14.21  																																																							| (434) e4 = e3
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (434) can reduce 177 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																			|-Branch two:
% 44.23/14.21  																																																			| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																			| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																				+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.21  																																																				|-Branch one:
% 44.23/14.21  																																																				| (795) all_0_83_83 = e3
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					| Combining equations (453,795) yields a new equation:
% 44.23/14.21  																																																					| (548) e3 = e2
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					| Equations (548) can reduce 169 to:
% 44.23/14.21  																																																					| (311) $false
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					|-The branch is then unsatisfiable
% 44.23/14.21  																																																				|-Branch two:
% 44.23/14.21  																																																				| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.21  																																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.21  																																																					|-Branch one:
% 44.23/14.21  																																																					| (1265) all_0_84_84 = e3
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						| Equations (1265) can reduce 259 to:
% 44.23/14.21  																																																						| (20)  ~ (e3 = e1)
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						| Equations (1265) can reduce 919 to:
% 44.23/14.21  																																																						| (50)  ~ (e3 = e0)
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						+-Applying beta-rule and splitting (4559), into two cases.
% 44.23/14.21  																																																						|-Branch one:
% 44.23/14.21  																																																						| (570) all_0_93_93 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (570,604) yields a new equation:
% 44.23/14.21  																																																							| (599) e3 = e0
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Simplifying 599 yields:
% 44.23/14.21  																																																							| (600) e3 = e0
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (600) can reduce 50 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																						|-Branch two:
% 44.23/14.21  																																																						| (602)  ~ (all_0_93_93 = e3)
% 44.23/14.21  																																																						| (969) all_0_98_98 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (1543,969) yields a new equation:
% 44.23/14.21  																																																							| (772) e3 = e1
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (772) can reduce 20 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																					|-Branch two:
% 44.23/14.21  																																																					| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.21  																																																					| (804) all_0_85_85 = e3
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						| Equations (804) can reduce 952 to:
% 44.23/14.21  																																																						| (311) $false
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						|-The branch is then unsatisfiable
% 44.23/14.21  																																																	|-Branch two:
% 44.23/14.21  																																																	| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.23/14.21  																																																	|
% 44.23/14.21  																																																		| Applying alpha-rule on (1379) yields:
% 44.23/14.21  																																																		| (1380) all_0_71_71 = e3
% 44.23/14.21  																																																		| (1381)  ~ (all_0_72_72 = e0)
% 44.23/14.21  																																																		|
% 44.23/14.21  																																																		| From (1380) and (26) follows:
% 44.23/14.21  																																																		| (19451) op(e0, all_0_85_85) = e3
% 44.23/14.21  																																																		|
% 44.23/14.21  																																																		+-Applying beta-rule and splitting (250), into two cases.
% 44.23/14.21  																																																		|-Branch one:
% 44.23/14.21  																																																		| (635) all_0_81_81 = e3
% 44.23/14.21  																																																		|
% 44.23/14.21  																																																			| Equations (635) can reduce 144 to:
% 44.23/14.21  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																			| Equations (635) can reduce 118 to:
% 44.23/14.21  																																																			| (2358)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																			| Simplifying 2358 yields:
% 44.23/14.21  																																																			| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																			| Equations (635) can reduce 396 to:
% 44.23/14.21  																																																			| (169)  ~ (e3 = e2)
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																			+-Applying beta-rule and splitting (207), into two cases.
% 44.23/14.21  																																																			|-Branch one:
% 44.23/14.21  																																																			| (416) all_0_80_80 = e3
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																				| Equations (416) can reduce 2347 to:
% 44.23/14.21  																																																				| (311) $false
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																				|-The branch is then unsatisfiable
% 44.23/14.21  																																																			|-Branch two:
% 44.23/14.21  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 44.23/14.21  																																																			| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																				+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.21  																																																				|-Branch one:
% 44.23/14.21  																																																				| (433) all_0_80_80 = e4
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					| Equations (433) can reduce 2347 to:
% 44.23/14.21  																																																					| (177)  ~ (e4 = e3)
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					| Equations (433) can reduce 828 to:
% 44.23/14.21  																																																					| (256)  ~ (e4 = e1)
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					| Equations (433) can reduce 166 to:
% 44.23/14.21  																																																					| (23)  ~ (e4 = e0)
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					+-Applying beta-rule and splitting (168), into two cases.
% 44.23/14.21  																																																					|-Branch one:
% 44.23/14.21  																																																					| (638) all_0_81_81 = e4
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						| Combining equations (635,638) yields a new equation:
% 44.23/14.21  																																																						| (434) e4 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						| Equations (434) can reduce 177 to:
% 44.23/14.21  																																																						| (311) $false
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						|-The branch is then unsatisfiable
% 44.23/14.21  																																																					|-Branch two:
% 44.23/14.21  																																																					| (634)  ~ (all_0_81_81 = e4)
% 44.23/14.21  																																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.21  																																																						|-Branch one:
% 44.23/14.21  																																																						| (795) all_0_83_83 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (453,795) yields a new equation:
% 44.23/14.21  																																																							| (548) e3 = e2
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (548) can reduce 169 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																						|-Branch two:
% 44.23/14.21  																																																						| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.21  																																																						| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							+-Applying beta-rule and splitting (617), into two cases.
% 44.23/14.21  																																																							|-Branch one:
% 44.23/14.21  																																																							| (1265) all_0_84_84 = e3
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																								| Equations (1265) can reduce 154 to:
% 44.23/14.21  																																																								| (2358)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																								| Simplifying 2358 yields:
% 44.23/14.21  																																																								| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																								+-Applying beta-rule and splitting (2559), into two cases.
% 44.23/14.21  																																																								|-Branch one:
% 44.23/14.21  																																																								| (493) all_0_85_85 = e4
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									| Equations (493) can reduce 952 to:
% 44.23/14.21  																																																									| (177)  ~ (e4 = e3)
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									| From (493) and (19451) follows:
% 44.23/14.21  																																																									| (19480) op(e0, e4) = e3
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									| Instantiating formula (262) with e0, e4, e3, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields:
% 44.23/14.21  																																																									| (434) e4 = e3
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									| Equations (434) can reduce 177 to:
% 44.23/14.21  																																																									| (311) $false
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									|-The branch is then unsatisfiable
% 44.23/14.21  																																																								|-Branch two:
% 44.23/14.21  																																																								| (648)  ~ (all_0_85_85 = e4)
% 44.23/14.21  																																																								| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									+-Applying beta-rule and splitting (2576), into two cases.
% 44.23/14.21  																																																									|-Branch one:
% 44.23/14.21  																																																									| (607) all_0_93_93 = e4
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																										| Combining equations (604,607) yields a new equation:
% 44.23/14.21  																																																										| (912) e4 = e0
% 44.23/14.21  																																																										|
% 44.23/14.21  																																																										| Equations (912) can reduce 23 to:
% 44.23/14.21  																																																										| (311) $false
% 44.23/14.21  																																																										|
% 44.23/14.21  																																																										|-The branch is then unsatisfiable
% 44.23/14.21  																																																									|-Branch two:
% 44.23/14.21  																																																									| (496)  ~ (all_0_93_93 = e4)
% 44.23/14.21  																																																									| (2650) all_0_98_98 = e4
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																										| Combining equations (1543,2650) yields a new equation:
% 44.23/14.21  																																																										| (814) e4 = e1
% 44.23/14.21  																																																										|
% 44.23/14.21  																																																										| Equations (814) can reduce 256 to:
% 44.23/14.21  																																																										| (311) $false
% 44.23/14.21  																																																										|
% 44.23/14.21  																																																										|-The branch is then unsatisfiable
% 44.23/14.21  																																																							|-Branch two:
% 44.23/14.21  																																																							| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.21  																																																							| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																								+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.21  																																																								|-Branch one:
% 44.23/14.21  																																																								| (1265) all_0_84_84 = e3
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									| Equations (1265) can reduce 422 to:
% 44.23/14.21  																																																									| (311) $false
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									|-The branch is then unsatisfiable
% 44.23/14.21  																																																								|-Branch two:
% 44.23/14.21  																																																								| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.21  																																																								| (804) all_0_85_85 = e3
% 44.23/14.21  																																																								|
% 44.23/14.21  																																																									| Equations (804) can reduce 952 to:
% 44.23/14.21  																																																									| (311) $false
% 44.23/14.21  																																																									|
% 44.23/14.21  																																																									|-The branch is then unsatisfiable
% 44.23/14.21  																																																				|-Branch two:
% 44.23/14.21  																																																				| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.21  																																																				| (638) all_0_81_81 = e4
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					| Combining equations (635,638) yields a new equation:
% 44.23/14.21  																																																					| (434) e4 = e3
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					| Equations (434) can reduce 177 to:
% 44.23/14.21  																																																					| (311) $false
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					|-The branch is then unsatisfiable
% 44.23/14.21  																																																		|-Branch two:
% 44.23/14.21  																																																		| (420)  ~ (all_0_81_81 = e3)
% 44.23/14.21  																																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.21  																																																		|
% 44.23/14.21  																																																			+-Applying beta-rule and splitting (4488), into two cases.
% 44.23/14.21  																																																			|-Branch one:
% 44.23/14.21  																																																			| (804) all_0_85_85 = e3
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																				| From (804) and (197) follows:
% 44.23/14.21  																																																				| (811) op(e3, e3) = all_0_72_72
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																				| Instantiating formula (262) with e3, e3, all_0_72_72, e0 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e0, yields:
% 44.23/14.21  																																																				| (10076) all_0_72_72 = e0
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																				| Equations (10076) can reduce 1381 to:
% 44.23/14.21  																																																				| (311) $false
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																				|-The branch is then unsatisfiable
% 44.23/14.21  																																																			|-Branch two:
% 44.23/14.21  																																																			| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.21  																																																			| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.21  																																																			|
% 44.23/14.21  																																																				+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.21  																																																				|-Branch one:
% 44.23/14.21  																																																				| (795) all_0_83_83 = e3
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					| Combining equations (453,795) yields a new equation:
% 44.23/14.21  																																																					| (548) e3 = e2
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					| Equations (548) can reduce 169 to:
% 44.23/14.21  																																																					| (311) $false
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																					|-The branch is then unsatisfiable
% 44.23/14.21  																																																				|-Branch two:
% 44.23/14.21  																																																				| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.21  																																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.21  																																																				|
% 44.23/14.21  																																																					+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.21  																																																					|-Branch one:
% 44.23/14.21  																																																					| (1265) all_0_84_84 = e3
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						| Equations (1265) can reduce 259 to:
% 44.23/14.21  																																																						| (20)  ~ (e3 = e1)
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						| Equations (1265) can reduce 919 to:
% 44.23/14.21  																																																						| (50)  ~ (e3 = e0)
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						+-Applying beta-rule and splitting (4559), into two cases.
% 44.23/14.21  																																																						|-Branch one:
% 44.23/14.21  																																																						| (570) all_0_93_93 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (570,604) yields a new equation:
% 44.23/14.21  																																																							| (599) e3 = e0
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Simplifying 599 yields:
% 44.23/14.21  																																																							| (600) e3 = e0
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (600) can reduce 50 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																						|-Branch two:
% 44.23/14.21  																																																						| (602)  ~ (all_0_93_93 = e3)
% 44.23/14.21  																																																						| (969) all_0_98_98 = e3
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																							| Combining equations (1543,969) yields a new equation:
% 44.23/14.21  																																																							| (772) e3 = e1
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							| Equations (772) can reduce 20 to:
% 44.23/14.21  																																																							| (311) $false
% 44.23/14.21  																																																							|
% 44.23/14.21  																																																							|-The branch is then unsatisfiable
% 44.23/14.21  																																																					|-Branch two:
% 44.23/14.21  																																																					| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.21  																																																					| (804) all_0_85_85 = e3
% 44.23/14.21  																																																					|
% 44.23/14.21  																																																						| Equations (804) can reduce 952 to:
% 44.23/14.21  																																																						| (311) $false
% 44.23/14.21  																																																						|
% 44.23/14.21  																																																						|-The branch is then unsatisfiable
% 44.23/14.22  																																																|-Branch two:
% 44.23/14.22  																																																| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.23/14.22  																																																|
% 44.23/14.22  																																																	| Applying alpha-rule on (1385) yields:
% 44.23/14.22  																																																	| (1386) all_0_73_73 = e2
% 44.23/14.22  																																																	| (1387)  ~ (all_0_74_74 = e0)
% 44.23/14.22  																																																	|
% 44.23/14.22  																																																	| Combining equations (19296,1386) yields a new equation:
% 44.23/14.22  																																																	| (379) e2 = e0
% 44.23/14.22  																																																	|
% 44.23/14.22  																																																	| Equations (379) can reduce 76 to:
% 44.23/14.22  																																																	| (311) $false
% 44.23/14.22  																																																	|
% 44.23/14.22  																																																	|-The branch is then unsatisfiable
% 44.23/14.22  																																															|-Branch two:
% 44.23/14.22  																																															| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.23/14.22  																																															|
% 44.23/14.22  																																																| Applying alpha-rule on (1391) yields:
% 44.23/14.22  																																																| (1392) all_0_75_75 = e1
% 44.23/14.22  																																																| (1393)  ~ (all_0_76_76 = e0)
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| Equations (8960) can reduce 1393 to:
% 44.23/14.22  																																																| (311) $false
% 44.23/14.22  																																																|
% 44.23/14.22  																																																|-The branch is then unsatisfiable
% 44.23/14.22  																																												|-Branch two:
% 44.23/14.22  																																												| (571)  ~ (all_0_91_91 = e3)
% 44.23/14.22  																																												| (778) all_0_96_96 = e3
% 44.23/14.22  																																												|
% 44.23/14.22  																																													| Combining equations (1837,778) yields a new equation:
% 44.23/14.22  																																													| (600) e3 = e0
% 44.23/14.22  																																													|
% 44.23/14.22  																																													| Equations (600) can reduce 50 to:
% 44.23/14.22  																																													| (311) $false
% 44.23/14.22  																																													|
% 44.23/14.22  																																													|-The branch is then unsatisfiable
% 44.23/14.22  																																							|-Branch two:
% 44.23/14.22  																																							| (840)  ~ (all_0_92_92 = e1)
% 44.23/14.22  																																							| (542) all_0_97_97 = e1
% 44.23/14.22  																																							|
% 44.23/14.22  																																								| Combining equations (538,542) yields a new equation:
% 44.23/14.22  																																								| (408) e2 = e1
% 44.23/14.22  																																								|
% 44.23/14.22  																																								| Simplifying 408 yields:
% 44.23/14.22  																																								| (385) e2 = e1
% 44.23/14.22  																																								|
% 44.23/14.22  																																								| Equations (385) can reduce 243 to:
% 44.23/14.22  																																								| (311) $false
% 44.23/14.22  																																								|
% 44.23/14.22  																																								|-The branch is then unsatisfiable
% 44.23/14.22  																																|-Branch two:
% 44.23/14.22  																																| (461)  ~ (all_0_79_79 = e1)
% 44.23/14.22  																																| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.23/14.22  																																|
% 44.23/14.22  																																	+-Applying beta-rule and splitting (1623), into two cases.
% 44.23/14.22  																																	|-Branch one:
% 44.23/14.22  																																	| (457) all_0_79_79 = e1
% 44.23/14.22  																																	|
% 44.23/14.22  																																		| Equations (457) can reduce 461 to:
% 44.23/14.22  																																		| (311) $false
% 44.23/14.22  																																		|
% 44.23/14.22  																																		|-The branch is then unsatisfiable
% 44.23/14.22  																																	|-Branch two:
% 44.23/14.22  																																	| (461)  ~ (all_0_79_79 = e1)
% 44.23/14.22  																																	| (1708) all_0_79_79 = e3
% 44.23/14.22  																																	|
% 44.23/14.22  																																		| Equations (1708) can reduce 15 to:
% 44.23/14.22  																																		| (419)  ~ (all_0_81_81 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Simplifying 419 yields:
% 44.23/14.22  																																		| (420)  ~ (all_0_81_81 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Equations (1708) can reduce 17 to:
% 44.23/14.22  																																		| (1298)  ~ (all_0_91_91 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Simplifying 1298 yields:
% 44.23/14.22  																																		| (571)  ~ (all_0_91_91 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Equations (1708) can reduce 235 to:
% 44.23/14.22  																																		| (783)  ~ (e4 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Simplifying 783 yields:
% 44.23/14.22  																																		| (177)  ~ (e4 = e3)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Equations (1708) can reduce 1622 to:
% 44.23/14.22  																																		| (169)  ~ (e3 = e2)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Equations (1708) can reduce 461 to:
% 44.23/14.22  																																		| (20)  ~ (e3 = e1)
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| From (1708) and (184) follows:
% 44.23/14.22  																																		| (11003) op(e2, e3) = all_0_52_52
% 44.23/14.22  																																		|
% 44.23/14.22  																																		| Instantiating formula (262) with e2, e3, all_0_52_52, e1 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e1, yields:
% 44.23/14.22  																																		| (15841) all_0_52_52 = e1
% 44.23/14.22  																																		|
% 44.23/14.22  																																		+-Applying beta-rule and splitting (33), into two cases.
% 44.23/14.22  																																		|-Branch one:
% 44.23/14.22  																																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.23/14.22  																																		|
% 44.23/14.22  																																			+-Applying beta-rule and splitting (1686), into two cases.
% 44.23/14.22  																																			|-Branch one:
% 44.23/14.22  																																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.23/14.22  																																			|
% 44.23/14.22  																																				+-Applying beta-rule and splitting (1687), into two cases.
% 44.23/14.22  																																				|-Branch one:
% 44.23/14.22  																																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.23/14.22  																																				|
% 44.23/14.22  																																					| Applying alpha-rule on (1688) yields:
% 44.23/14.22  																																					| (1689) all_0_52_52 = e4
% 44.23/14.22  																																					| (1690)  ~ (all_0_53_53 = e2)
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Combining equations (1689,15841) yields a new equation:
% 44.23/14.22  																																					| (813) e4 = e1
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Simplifying 813 yields:
% 44.23/14.22  																																					| (814) e4 = e1
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Equations (814) can reduce 256 to:
% 44.23/14.22  																																					| (311) $false
% 44.23/14.22  																																					|
% 44.23/14.22  																																					|-The branch is then unsatisfiable
% 44.23/14.22  																																				|-Branch two:
% 44.23/14.22  																																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.23/14.22  																																				|
% 44.23/14.22  																																					| Applying alpha-rule on (1694) yields:
% 44.23/14.22  																																					| (1695) all_0_54_54 = e3
% 44.23/14.22  																																					| (1696)  ~ (all_0_55_55 = e2)
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Combining equations (1647,1695) yields a new equation:
% 44.23/14.22  																																					| (790) e4 = e3
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Simplifying 790 yields:
% 44.23/14.22  																																					| (434) e4 = e3
% 44.23/14.22  																																					|
% 44.23/14.22  																																					| Equations (434) can reduce 177 to:
% 44.23/14.22  																																					| (311) $false
% 44.23/14.22  																																					|
% 44.23/14.22  																																					|-The branch is then unsatisfiable
% 44.23/14.22  																																			|-Branch two:
% 44.23/14.22  																																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.23/14.22  																																			|
% 44.23/14.22  																																				| Applying alpha-rule on (1700) yields:
% 44.23/14.22  																																				| (1701) all_0_56_56 = e1
% 44.23/14.22  																																				| (1702)  ~ (all_0_57_57 = e2)
% 44.23/14.22  																																				|
% 44.23/14.22  																																				| From (1701) and (222) follows:
% 44.23/14.22  																																				| (1703) op(e2, all_0_91_91) = e1
% 44.23/14.22  																																				|
% 44.23/14.22  																																				+-Applying beta-rule and splitting (250), into two cases.
% 44.23/14.22  																																				|-Branch one:
% 44.23/14.22  																																				| (635) all_0_81_81 = e3
% 44.23/14.22  																																				|
% 44.23/14.22  																																					| Equations (635) can reduce 420 to:
% 44.23/14.22  																																					| (311) $false
% 44.23/14.22  																																					|
% 44.23/14.22  																																					|-The branch is then unsatisfiable
% 44.23/14.22  																																				|-Branch two:
% 44.23/14.22  																																				| (420)  ~ (all_0_81_81 = e3)
% 44.23/14.22  																																				| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.22  																																				|
% 44.23/14.22  																																					+-Applying beta-rule and splitting (123), into two cases.
% 44.23/14.22  																																					|-Branch one:
% 44.23/14.22  																																					| (473) all_0_81_81 = e2
% 44.23/14.22  																																					|
% 44.23/14.22  																																						| Equations (473) can reduce 396 to:
% 44.23/14.22  																																						| (311) $false
% 44.23/14.22  																																						|
% 44.23/14.22  																																						|-The branch is then unsatisfiable
% 44.23/14.22  																																					|-Branch two:
% 44.23/14.22  																																					| (396)  ~ (all_0_81_81 = e2)
% 44.23/14.22  																																					| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.23/14.22  																																					|
% 44.23/14.22  																																						+-Applying beta-rule and splitting (182), into two cases.
% 44.23/14.22  																																						|-Branch one:
% 44.23/14.22  																																						| (512) all_0_85_85 = e2
% 44.23/14.22  																																						|
% 44.23/14.22  																																							| Equations (512) can reduce 515 to:
% 44.23/14.22  																																							| (311) $false
% 44.23/14.22  																																							|
% 44.23/14.22  																																							|-The branch is then unsatisfiable
% 44.23/14.22  																																						|-Branch two:
% 44.23/14.22  																																						| (515)  ~ (all_0_85_85 = e2)
% 44.23/14.22  																																						| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.23/14.22  																																						|
% 44.23/14.22  																																							+-Applying beta-rule and splitting (151), into two cases.
% 44.23/14.22  																																							|-Branch one:
% 44.23/14.22  																																							| (824) all_0_80_80 = e1
% 44.23/14.22  																																							|
% 44.23/14.22  																																								| Equations (824) can reduce 166 to:
% 44.23/14.22  																																								| (264)  ~ (e1 = e0)
% 44.23/14.22  																																								|
% 44.23/14.22  																																								| From (824) and (233) follows:
% 44.23/14.22  																																								| (10739) op(e1, e1) = all_0_60_60
% 44.23/14.22  																																								|
% 44.23/14.22  																																								+-Applying beta-rule and splitting (210), into two cases.
% 44.23/14.22  																																								|-Branch one:
% 44.23/14.22  																																								| (433) all_0_80_80 = e4
% 44.23/14.22  																																								|
% 44.23/14.22  																																									| Combining equations (433,824) yields a new equation:
% 44.23/14.22  																																									| (813) e4 = e1
% 44.23/14.22  																																									|
% 44.23/14.22  																																									| Simplifying 813 yields:
% 44.23/14.22  																																									| (814) e4 = e1
% 44.23/14.22  																																									|
% 44.23/14.22  																																									| Equations (814) can reduce 256 to:
% 44.23/14.22  																																									| (311) $false
% 44.23/14.22  																																									|
% 44.23/14.22  																																									|-The branch is then unsatisfiable
% 44.23/14.22  																																								|-Branch two:
% 44.23/14.22  																																								| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.22  																																								| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.23/14.22  																																								|
% 44.23/14.22  																																									| Equations (824) can reduce 436 to:
% 44.23/14.22  																																									| (681)  ~ (e4 = e1)
% 44.23/14.22  																																									|
% 44.23/14.22  																																									| Simplifying 681 yields:
% 44.23/14.22  																																									| (256)  ~ (e4 = e1)
% 44.23/14.22  																																									|
% 44.23/14.22  																																									+-Applying beta-rule and splitting (119), into two cases.
% 44.23/14.22  																																									|-Branch one:
% 44.23/14.22  																																									| (1343) all_0_92_92 = e2
% 44.23/14.22  																																									|
% 44.23/14.22  																																										| Equations (1343) can reduce 298 to:
% 44.23/14.22  																																										| (311) $false
% 44.23/14.22  																																										|
% 44.23/14.22  																																										|-The branch is then unsatisfiable
% 44.23/14.22  																																									|-Branch two:
% 44.23/14.22  																																									| (298)  ~ (all_0_92_92 = e2)
% 44.23/14.22  																																									| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.23/14.22  																																									|
% 44.23/14.22  																																										+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.22  																																										|-Branch one:
% 44.23/14.22  																																										| (433) all_0_80_80 = e4
% 44.23/14.22  																																										|
% 44.23/14.22  																																											| Combining equations (433,824) yields a new equation:
% 44.23/14.22  																																											| (813) e4 = e1
% 44.23/14.22  																																											|
% 44.23/14.22  																																											| Simplifying 813 yields:
% 44.23/14.22  																																											| (814) e4 = e1
% 44.23/14.22  																																											|
% 44.23/14.22  																																											| Equations (814) can reduce 256 to:
% 44.23/14.22  																																											| (311) $false
% 44.23/14.22  																																											|
% 44.23/14.22  																																											|-The branch is then unsatisfiable
% 44.23/14.22  																																										|-Branch two:
% 44.23/14.22  																																										| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.22  																																										| (638) all_0_81_81 = e4
% 44.23/14.22  																																										|
% 44.23/14.22  																																											| Equations (638) can reduce 420 to:
% 44.23/14.22  																																											| (177)  ~ (e4 = e3)
% 44.23/14.22  																																											|
% 44.23/14.22  																																											| Equations (638) can reduce 396 to:
% 44.23/14.22  																																											| (79)  ~ (e4 = e2)
% 44.23/14.22  																																											|
% 44.23/14.22  																																											+-Applying beta-rule and splitting (437), into two cases.
% 44.23/14.22  																																											|-Branch one:
% 44.23/14.22  																																											| (438) all_0_84_84 = e4
% 44.23/14.22  																																											|
% 44.23/14.22  																																												| Equations (438) can reduce 154 to:
% 44.23/14.22  																																												| (647)  ~ (all_0_85_85 = e4)
% 44.23/14.22  																																												|
% 44.23/14.22  																																												| Simplifying 647 yields:
% 44.23/14.22  																																												| (648)  ~ (all_0_85_85 = e4)
% 44.23/14.22  																																												|
% 44.23/14.22  																																												| Equations (438) can reduce 87 to:
% 44.23/14.22  																																												| (1906)  ~ (all_0_92_92 = e4)
% 44.23/14.22  																																												|
% 44.23/14.22  																																												| Simplifying 1906 yields:
% 44.23/14.22  																																												| (1619)  ~ (all_0_92_92 = e4)
% 44.23/14.22  																																												|
% 44.23/14.22  																																												| From (438) and (122) follows:
% 44.23/14.22  																																												| (9102) op(e1, e4) = all_0_62_62
% 44.23/14.22  																																												|
% 44.23/14.22  																																												+-Applying beta-rule and splitting (725), into two cases.
% 44.23/14.22  																																												|-Branch one:
% 44.23/14.22  																																												| (804) all_0_85_85 = e3
% 44.23/14.22  																																												|
% 44.23/14.22  																																													| Equations (804) can reduce 201 to:
% 44.23/14.22  																																													| (807)  ~ (all_0_93_93 = e3)
% 44.23/14.22  																																													|
% 44.23/14.22  																																													| Simplifying 807 yields:
% 44.23/14.22  																																													| (602)  ~ (all_0_93_93 = e3)
% 44.23/14.22  																																													|
% 44.23/14.22  																																													| Equations (804) can reduce 648 to:
% 44.23/14.22  																																													| (783)  ~ (e4 = e3)
% 44.23/14.22  																																													|
% 44.23/14.22  																																													| Simplifying 783 yields:
% 44.23/14.22  																																													| (177)  ~ (e4 = e3)
% 44.23/14.22  																																													|
% 44.23/14.22  																																													+-Applying beta-rule and splitting (282), into two cases.
% 44.23/14.22  																																													|-Branch one:
% 44.23/14.22  																																													| (754) all_0_90_90 = e3
% 44.23/14.22  																																													|
% 44.23/14.22  																																														| Combining equations (583,754) yields a new equation:
% 44.23/14.22  																																														| (790) e4 = e3
% 44.23/14.22  																																														|
% 44.23/14.22  																																														| Simplifying 790 yields:
% 44.23/14.22  																																														| (434) e4 = e3
% 44.23/14.22  																																														|
% 44.23/14.22  																																														| Equations (434) can reduce 177 to:
% 44.23/14.22  																																														| (311) $false
% 44.23/14.22  																																														|
% 44.23/14.22  																																														|-The branch is then unsatisfiable
% 44.23/14.22  																																													|-Branch two:
% 44.23/14.22  																																													| (745)  ~ (all_0_90_90 = e3)
% 44.23/14.22  																																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.23/14.22  																																													|
% 44.23/14.22  																																														+-Applying beta-rule and splitting (849), into two cases.
% 44.23/14.22  																																														|-Branch one:
% 44.23/14.22  																																														| (588) all_0_91_91 = e3
% 44.23/14.22  																																														|
% 44.23/14.22  																																															| Equations (588) can reduce 571 to:
% 44.23/14.22  																																															| (311) $false
% 44.23/14.22  																																															|
% 44.23/14.22  																																															|-The branch is then unsatisfiable
% 44.23/14.22  																																														|-Branch two:
% 44.23/14.22  																																														| (571)  ~ (all_0_91_91 = e3)
% 44.23/14.22  																																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.23/14.22  																																														|
% 44.23/14.22  																																															+-Applying beta-rule and splitting (881), into two cases.
% 44.23/14.22  																																															|-Branch one:
% 44.23/14.22  																																															| (882) all_0_92_92 = e3
% 44.23/14.22  																																															|
% 44.23/14.22  																																																| Equations (882) can reduce 1619 to:
% 44.23/14.22  																																																| (783)  ~ (e4 = e3)
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| Simplifying 783 yields:
% 44.23/14.22  																																																| (177)  ~ (e4 = e3)
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| Equations (882) can reduce 298 to:
% 44.23/14.22  																																																| (169)  ~ (e3 = e2)
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| From (882) and (135) follows:
% 44.23/14.22  																																																| (8770) op(e1, e1) = e3
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| Instantiating formula (262) with e1, e4, all_0_62_62, e2 and discharging atoms op(e1, e4) = all_0_62_62, op(e1, e4) = e2, yields:
% 44.23/14.22  																																																| (9103) all_0_62_62 = e2
% 44.23/14.22  																																																|
% 44.23/14.22  																																																| Instantiating formula (262) with e1, e1, e3, all_0_60_60 and discharging atoms op(e1, e1) = all_0_60_60, op(e1, e1) = e3, yields:
% 44.23/14.22  																																																| (1403) all_0_60_60 = e3
% 44.23/14.22  																																																|
% 44.23/14.22  																																																+-Applying beta-rule and splitting (276), into two cases.
% 44.23/14.22  																																																|-Branch one:
% 44.23/14.22  																																																| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.23/14.23  																																																|
% 44.23/14.23  																																																	+-Applying beta-rule and splitting (577), into two cases.
% 44.23/14.23  																																																	|-Branch one:
% 44.23/14.23  																																																	| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																		+-Applying beta-rule and splitting (578), into two cases.
% 44.23/14.23  																																																		|-Branch one:
% 44.23/14.23  																																																		| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																			| Applying alpha-rule on (579) yields:
% 44.23/14.23  																																																			| (580) all_0_60_60 = e4
% 44.23/14.23  																																																			| (581)  ~ (all_0_61_61 = e1)
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Combining equations (580,1403) yields a new equation:
% 44.23/14.23  																																																			| (790) e4 = e3
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Simplifying 790 yields:
% 44.23/14.23  																																																			| (434) e4 = e3
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Equations (434) can reduce 177 to:
% 44.23/14.23  																																																			| (311) $false
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			|-The branch is then unsatisfiable
% 44.23/14.23  																																																		|-Branch two:
% 44.23/14.23  																																																		| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																			| Applying alpha-rule on (585) yields:
% 44.23/14.23  																																																			| (586) all_0_62_62 = e3
% 44.23/14.23  																																																			| (587)  ~ (all_0_63_63 = e1)
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Combining equations (586,9103) yields a new equation:
% 44.23/14.23  																																																			| (547) e3 = e2
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Simplifying 547 yields:
% 44.23/14.23  																																																			| (548) e3 = e2
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Equations (548) can reduce 169 to:
% 44.23/14.23  																																																			| (311) $false
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			|-The branch is then unsatisfiable
% 44.23/14.23  																																																	|-Branch two:
% 44.23/14.23  																																																	| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																		| Applying alpha-rule on (590) yields:
% 44.23/14.23  																																																		| (591) all_0_64_64 = e2
% 44.23/14.23  																																																		| (592)  ~ (all_0_65_65 = e1)
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																		| Combining equations (591,8320) yields a new equation:
% 44.23/14.23  																																																		| (522) all_0_93_93 = e2
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																		| Equations (522) can reduce 300 to:
% 44.23/14.23  																																																		| (311) $false
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																		|-The branch is then unsatisfiable
% 44.23/14.23  																																																|-Branch two:
% 44.23/14.23  																																																| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.23/14.23  																																																|
% 44.23/14.23  																																																	| Applying alpha-rule on (596) yields:
% 44.23/14.23  																																																	| (597) all_0_67_67 = e0
% 44.23/14.23  																																																	| (598)  ~ (all_0_68_68 = e1)
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Combining equations (4077,597) yields a new equation:
% 44.23/14.23  																																																	| (4610) all_0_91_91 = e0
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Simplifying 4610 yields:
% 44.23/14.23  																																																	| (1456) all_0_91_91 = e0
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Equations (1368) can reduce 598 to:
% 44.23/14.23  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	+-Applying beta-rule and splitting (788), into two cases.
% 44.23/14.23  																																																	|-Branch one:
% 44.23/14.23  																																																	| (960) all_0_96_96 = e1
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																		| Equations (960) can reduce 1479 to:
% 44.23/14.23  																																																		| (311) $false
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																		|-The branch is then unsatisfiable
% 44.23/14.23  																																																	|-Branch two:
% 44.23/14.23  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.23  																																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																		+-Applying beta-rule and splitting (462), into two cases.
% 44.23/14.23  																																																		|-Branch one:
% 44.23/14.23  																																																		| (801) all_0_91_91 = e1
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																			| Combining equations (801,1456) yields a new equation:
% 44.23/14.23  																																																			| (1107) e1 = e0
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Simplifying 1107 yields:
% 44.23/14.23  																																																			| (865) e1 = e0
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			| Equations (865) can reduce 264 to:
% 44.23/14.23  																																																			| (311) $false
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			|-The branch is then unsatisfiable
% 44.23/14.23  																																																		|-Branch two:
% 44.23/14.23  																																																		| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.23  																																																		| (960) all_0_96_96 = e1
% 44.23/14.23  																																																		|
% 44.23/14.23  																																																			| Equations (960) can reduce 1479 to:
% 44.23/14.23  																																																			| (311) $false
% 44.23/14.23  																																																			|
% 44.23/14.23  																																																			|-The branch is then unsatisfiable
% 44.23/14.23  																																															|-Branch two:
% 44.23/14.23  																																															| (426)  ~ (all_0_92_92 = e3)
% 44.23/14.23  																																															| (570) all_0_93_93 = e3
% 44.23/14.23  																																															|
% 44.23/14.23  																																																| Equations (570) can reduce 602 to:
% 44.23/14.23  																																																| (311) $false
% 44.23/14.23  																																																|
% 44.23/14.23  																																																|-The branch is then unsatisfiable
% 44.23/14.23  																																												|-Branch two:
% 44.23/14.23  																																												| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.23  																																												| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 44.23/14.23  																																												|
% 44.23/14.23  																																													+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.23  																																													|-Branch one:
% 44.23/14.23  																																													| (795) all_0_83_83 = e3
% 44.23/14.23  																																													|
% 44.23/14.23  																																														| Combining equations (795,453) yields a new equation:
% 44.23/14.23  																																														| (547) e3 = e2
% 44.23/14.23  																																														|
% 44.23/14.23  																																														| Simplifying 547 yields:
% 44.23/14.23  																																														| (548) e3 = e2
% 44.23/14.23  																																														|
% 44.23/14.23  																																														| Equations (548) can reduce 169 to:
% 44.23/14.23  																																														| (311) $false
% 44.23/14.23  																																														|
% 44.23/14.23  																																														|-The branch is then unsatisfiable
% 44.23/14.23  																																													|-Branch two:
% 44.23/14.23  																																													| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.23  																																													| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.23  																																													|
% 44.23/14.23  																																														+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.23  																																														|-Branch one:
% 44.23/14.23  																																														| (1265) all_0_84_84 = e3
% 44.23/14.23  																																														|
% 44.23/14.23  																																															| Combining equations (438,1265) yields a new equation:
% 44.23/14.23  																																															| (790) e4 = e3
% 44.23/14.23  																																															|
% 44.23/14.23  																																															| Simplifying 790 yields:
% 44.23/14.23  																																															| (434) e4 = e3
% 44.23/14.23  																																															|
% 44.23/14.23  																																															| Equations (434) can reduce 177 to:
% 44.23/14.23  																																															| (311) $false
% 44.23/14.23  																																															|
% 44.23/14.23  																																															|-The branch is then unsatisfiable
% 44.23/14.23  																																														|-Branch two:
% 44.23/14.23  																																														| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.23  																																														| (804) all_0_85_85 = e3
% 44.23/14.23  																																														|
% 44.23/14.23  																																															| Equations (804) can reduce 952 to:
% 44.23/14.23  																																															| (311) $false
% 44.23/14.23  																																															|
% 44.23/14.23  																																															|-The branch is then unsatisfiable
% 44.23/14.23  																																											|-Branch two:
% 44.23/14.23  																																											| (417)  ~ (all_0_84_84 = e4)
% 44.23/14.23  																																											| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 44.23/14.23  																																											|
% 44.23/14.23  																																												+-Applying beta-rule and splitting (441), into two cases.
% 44.23/14.23  																																												|-Branch one:
% 44.23/14.23  																																												| (442) all_0_92_92 = e4
% 44.23/14.23  																																												|
% 44.23/14.23  																																													| Equations (442) can reduce 1619 to:
% 44.23/14.23  																																													| (311) $false
% 44.23/14.23  																																													|
% 44.23/14.23  																																													|-The branch is then unsatisfiable
% 44.23/14.23  																																												|-Branch two:
% 44.23/14.23  																																												| (1619)  ~ (all_0_92_92 = e4)
% 44.23/14.23  																																												| (610) all_0_97_97 = e4
% 44.23/14.23  																																												|
% 44.23/14.23  																																													| Combining equations (610,538) yields a new equation:
% 44.23/14.23  																																													| (309) e4 = e2
% 44.23/14.23  																																													|
% 44.23/14.23  																																													| Simplifying 309 yields:
% 44.23/14.23  																																													| (310) e4 = e2
% 44.23/14.23  																																													|
% 44.23/14.23  																																													| Equations (310) can reduce 79 to:
% 44.23/14.23  																																													| (311) $false
% 44.23/14.23  																																													|
% 44.23/14.23  																																													|-The branch is then unsatisfiable
% 44.23/14.23  																																							|-Branch two:
% 44.23/14.23  																																							| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.23  																																							| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.23  																																							|
% 44.23/14.23  																																								+-Applying beta-rule and splitting (129), into two cases.
% 44.23/14.23  																																								|-Branch one:
% 44.23/14.23  																																								| (676) all_0_78_78 = e1
% 44.23/14.23  																																								|
% 44.23/14.23  																																									| Combining equations (400,676) yields a new equation:
% 44.23/14.23  																																									| (408) e2 = e1
% 44.23/14.23  																																									|
% 44.23/14.23  																																									| Simplifying 408 yields:
% 44.23/14.23  																																									| (385) e2 = e1
% 44.23/14.23  																																									|
% 44.23/14.23  																																									| Equations (385) can reduce 243 to:
% 44.23/14.23  																																									| (311) $false
% 44.23/14.23  																																									|
% 44.23/14.23  																																									|-The branch is then unsatisfiable
% 44.23/14.23  																																								|-Branch two:
% 44.23/14.23  																																								| (1601)  ~ (all_0_78_78 = e1)
% 44.23/14.23  																																								| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 44.23/14.23  																																								|
% 44.23/14.23  																																									| Equations (400) can reduce 1601 to:
% 44.23/14.23  																																									| (243)  ~ (e2 = e1)
% 44.23/14.23  																																									|
% 44.23/14.23  																																									+-Applying beta-rule and splitting (829), into two cases.
% 44.23/14.23  																																									|-Branch one:
% 44.23/14.23  																																									| (482) all_0_87_87 = e1
% 44.23/14.23  																																									|
% 44.23/14.23  																																										| Combining equations (861,482) yields a new equation:
% 44.23/14.23  																																										| (865) e1 = e0
% 44.23/14.23  																																										|
% 44.23/14.23  																																										| Equations (865) can reduce 264 to:
% 44.23/14.23  																																										| (311) $false
% 44.23/14.23  																																										|
% 44.23/14.23  																																										|-The branch is then unsatisfiable
% 44.23/14.23  																																									|-Branch two:
% 44.23/14.23  																																									| (625)  ~ (all_0_87_87 = e1)
% 44.23/14.23  																																									| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.23  																																									|
% 44.23/14.23  																																										+-Applying beta-rule and splitting (45), into two cases.
% 44.23/14.23  																																										|-Branch one:
% 44.23/14.23  																																										| (546) all_0_80_80 = e2
% 44.23/14.23  																																										|
% 44.23/14.23  																																											| Equations (546) can reduce 394 to:
% 44.23/14.23  																																											| (311) $false
% 44.23/14.23  																																											|
% 44.23/14.23  																																											|-The branch is then unsatisfiable
% 44.23/14.23  																																										|-Branch two:
% 44.23/14.23  																																										| (394)  ~ (all_0_80_80 = e2)
% 44.23/14.23  																																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.23/14.23  																																										|
% 44.23/14.23  																																											+-Applying beta-rule and splitting (835), into two cases.
% 44.23/14.23  																																											|-Branch one:
% 44.23/14.23  																																											| (836) all_0_92_92 = e1
% 44.23/14.23  																																											|
% 44.23/14.23  																																												| Equations (836) can reduce 49 to:
% 44.23/14.23  																																												| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.23  																																												|
% 44.23/14.23  																																												| Equations (836) can reduce 265 to:
% 44.23/14.23  																																												| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.23  																																												|
% 44.23/14.23  																																												| Equations (836) can reduce 946 to:
% 44.23/14.23  																																												| (264)  ~ (e1 = e0)
% 44.23/14.23  																																												|
% 44.23/14.23  																																												+-Applying beta-rule and splitting (1602), into two cases.
% 44.23/14.23  																																												|-Branch one:
% 44.23/14.23  																																												| (457) all_0_79_79 = e1
% 44.23/14.23  																																												|
% 44.23/14.23  																																													| Combining equations (1708,457) yields a new equation:
% 44.23/14.23  																																													| (825) e3 = e1
% 44.23/14.23  																																													|
% 44.23/14.23  																																													| Simplifying 825 yields:
% 44.23/14.23  																																													| (772) e3 = e1
% 44.23/14.23  																																													|
% 44.23/14.23  																																													| Equations (772) can reduce 20 to:
% 44.23/14.23  																																													| (311) $false
% 44.23/14.23  																																													|
% 44.23/14.23  																																													|-The branch is then unsatisfiable
% 44.23/14.23  																																												|-Branch two:
% 44.23/14.23  																																												| (461)  ~ (all_0_79_79 = e1)
% 44.23/14.23  																																												| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 44.23/14.23  																																												|
% 44.23/14.23  																																													+-Applying beta-rule and splitting (462), into two cases.
% 44.23/14.23  																																													|-Branch one:
% 44.23/14.23  																																													| (801) all_0_91_91 = e1
% 44.23/14.23  																																													|
% 44.23/14.23  																																														| Equations (801) can reduce 959 to:
% 44.23/14.23  																																														| (311) $false
% 44.23/14.23  																																														|
% 44.23/14.23  																																														|-The branch is then unsatisfiable
% 44.23/14.23  																																													|-Branch two:
% 44.23/14.23  																																													| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.23  																																													| (960) all_0_96_96 = e1
% 44.23/14.23  																																													|
% 44.23/14.23  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 44.23/14.23  																																														|-Branch one:
% 44.23/14.23  																																														| (1456) all_0_91_91 = e0
% 44.23/14.23  																																														|
% 44.23/14.23  																																															| From (1456) and (1703) follows:
% 44.23/14.23  																																															| (2305) op(e2, e0) = e1
% 44.23/14.23  																																															|
% 44.23/14.23  																																															+-Applying beta-rule and splitting (3232), into two cases.
% 44.23/14.23  																																															|-Branch one:
% 44.23/14.23  																																															| (824) all_0_80_80 = e1
% 44.23/14.23  																																															|
% 44.23/14.23  																																																| Equations (824) can reduce 828 to:
% 44.23/14.23  																																																| (311) $false
% 44.23/14.23  																																																|
% 44.23/14.23  																																																|-The branch is then unsatisfiable
% 44.23/14.23  																																															|-Branch two:
% 44.23/14.23  																																															| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.23  																																															| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.23/14.23  																																															|
% 44.23/14.23  																																																+-Applying beta-rule and splitting (8180), into two cases.
% 44.23/14.23  																																																|-Branch one:
% 44.23/14.23  																																																| (824) all_0_80_80 = e1
% 44.23/14.23  																																																|
% 44.23/14.23  																																																	| Equations (824) can reduce 828 to:
% 44.23/14.23  																																																	| (311) $false
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	|-The branch is then unsatisfiable
% 44.23/14.23  																																																|-Branch two:
% 44.23/14.23  																																																| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.23  																																																| (477) all_0_81_81 = e1
% 44.23/14.23  																																																|
% 44.23/14.23  																																																	| Equations (477) can reduce 396 to:
% 44.23/14.23  																																																	| (487)  ~ (e2 = e1)
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Simplifying 487 yields:
% 44.23/14.23  																																																	| (243)  ~ (e2 = e1)
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 44.23/14.23  																																																	| (385) e2 = e1
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	| Equations (385) can reduce 243 to:
% 44.23/14.23  																																																	| (311) $false
% 44.23/14.23  																																																	|
% 44.23/14.23  																																																	|-The branch is then unsatisfiable
% 44.23/14.23  																																														|-Branch two:
% 44.23/14.23  																																														| (1487)  ~ (all_0_91_91 = e0)
% 44.23/14.23  																																														| (1837) all_0_96_96 = e0
% 44.23/14.23  																																														|
% 44.23/14.23  																																															| Combining equations (960,1837) yields a new equation:
% 44.23/14.23  																																															| (1107) e1 = e0
% 44.23/14.23  																																															|
% 44.23/14.23  																																															| Simplifying 1107 yields:
% 44.23/14.23  																																															| (865) e1 = e0
% 44.23/14.23  																																															|
% 44.23/14.23  																																															| Equations (865) can reduce 264 to:
% 44.23/14.23  																																															| (311) $false
% 44.23/14.23  																																															|
% 44.23/14.23  																																															|-The branch is then unsatisfiable
% 44.23/14.23  																																											|-Branch two:
% 44.23/14.23  																																											| (840)  ~ (all_0_92_92 = e1)
% 44.23/14.23  																																											| (542) all_0_97_97 = e1
% 44.23/14.23  																																											|
% 44.23/14.23  																																												| Combining equations (542,538) yields a new equation:
% 44.23/14.23  																																												| (385) e2 = e1
% 44.23/14.23  																																												|
% 44.23/14.23  																																												| Equations (385) can reduce 243 to:
% 44.23/14.23  																																												| (311) $false
% 44.23/14.23  																																												|
% 44.23/14.23  																																												|-The branch is then unsatisfiable
% 44.23/14.23  																																		|-Branch two:
% 44.23/14.23  																																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.23/14.23  																																		|
% 44.23/14.23  																																			| Applying alpha-rule on (4957) yields:
% 44.23/14.23  																																			| (4958) all_0_58_58 = e0
% 44.23/14.23  																																			| (4959)  ~ (all_0_59_59 = e2)
% 44.23/14.23  																																			|
% 44.23/14.23  																																			+-Applying beta-rule and splitting (250), into two cases.
% 44.23/14.23  																																			|-Branch one:
% 44.23/14.23  																																			| (635) all_0_81_81 = e3
% 44.23/14.23  																																			|
% 44.23/14.23  																																				| Equations (635) can reduce 420 to:
% 44.23/14.23  																																				| (311) $false
% 44.23/14.23  																																				|
% 44.23/14.23  																																				|-The branch is then unsatisfiable
% 44.23/14.23  																																			|-Branch two:
% 44.23/14.23  																																			| (420)  ~ (all_0_81_81 = e3)
% 44.23/14.23  																																			| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.23/14.23  																																			|
% 44.23/14.23  																																				+-Applying beta-rule and splitting (123), into two cases.
% 44.23/14.23  																																				|-Branch one:
% 44.23/14.23  																																				| (473) all_0_81_81 = e2
% 44.23/14.23  																																				|
% 44.23/14.23  																																					| Equations (473) can reduce 396 to:
% 44.23/14.23  																																					| (311) $false
% 44.23/14.23  																																					|
% 44.23/14.23  																																					|-The branch is then unsatisfiable
% 44.23/14.23  																																				|-Branch two:
% 44.23/14.23  																																				| (396)  ~ (all_0_81_81 = e2)
% 44.23/14.23  																																				| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.23/14.23  																																				|
% 44.23/14.23  																																					+-Applying beta-rule and splitting (182), into two cases.
% 44.23/14.23  																																					|-Branch one:
% 44.23/14.23  																																					| (512) all_0_85_85 = e2
% 44.23/14.23  																																					|
% 44.23/14.23  																																						| Equations (512) can reduce 515 to:
% 44.23/14.23  																																						| (311) $false
% 44.23/14.23  																																						|
% 44.23/14.23  																																						|-The branch is then unsatisfiable
% 44.23/14.23  																																					|-Branch two:
% 44.23/14.23  																																					| (515)  ~ (all_0_85_85 = e2)
% 44.23/14.23  																																					| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.23/14.23  																																					|
% 44.23/14.23  																																						+-Applying beta-rule and splitting (151), into two cases.
% 44.23/14.23  																																						|-Branch one:
% 44.23/14.23  																																						| (824) all_0_80_80 = e1
% 44.23/14.23  																																						|
% 44.23/14.23  																																							| Equations (824) can reduce 166 to:
% 44.23/14.23  																																							| (264)  ~ (e1 = e0)
% 44.23/14.23  																																							|
% 44.23/14.23  																																							| From (824) and (233) follows:
% 44.23/14.23  																																							| (10739) op(e1, e1) = all_0_60_60
% 44.23/14.23  																																							|
% 44.23/14.23  																																							+-Applying beta-rule and splitting (210), into two cases.
% 44.23/14.23  																																							|-Branch one:
% 44.23/14.23  																																							| (433) all_0_80_80 = e4
% 44.23/14.23  																																							|
% 44.23/14.23  																																								| Combining equations (433,824) yields a new equation:
% 44.23/14.23  																																								| (813) e4 = e1
% 44.23/14.23  																																								|
% 44.23/14.23  																																								| Simplifying 813 yields:
% 44.23/14.23  																																								| (814) e4 = e1
% 44.23/14.23  																																								|
% 44.23/14.23  																																								| Equations (814) can reduce 256 to:
% 44.23/14.23  																																								| (311) $false
% 44.23/14.23  																																								|
% 44.23/14.23  																																								|-The branch is then unsatisfiable
% 44.23/14.23  																																							|-Branch two:
% 44.23/14.23  																																							| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.23  																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.23/14.23  																																							|
% 44.23/14.23  																																								| Equations (824) can reduce 436 to:
% 44.23/14.23  																																								| (681)  ~ (e4 = e1)
% 44.23/14.23  																																								|
% 44.23/14.23  																																								| Simplifying 681 yields:
% 44.23/14.23  																																								| (256)  ~ (e4 = e1)
% 44.23/14.23  																																								|
% 44.23/14.23  																																								+-Applying beta-rule and splitting (119), into two cases.
% 44.23/14.23  																																								|-Branch one:
% 44.23/14.23  																																								| (1343) all_0_92_92 = e2
% 44.23/14.23  																																								|
% 44.23/14.23  																																									| Equations (1343) can reduce 298 to:
% 44.23/14.23  																																									| (311) $false
% 44.23/14.23  																																									|
% 44.23/14.23  																																									|-The branch is then unsatisfiable
% 44.23/14.23  																																								|-Branch two:
% 44.23/14.23  																																								| (298)  ~ (all_0_92_92 = e2)
% 44.23/14.23  																																								| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.23/14.23  																																								|
% 44.23/14.23  																																									+-Applying beta-rule and splitting (641), into two cases.
% 44.23/14.23  																																									|-Branch one:
% 44.23/14.24  																																									| (433) all_0_80_80 = e4
% 44.23/14.24  																																									|
% 44.23/14.24  																																										| Combining equations (433,824) yields a new equation:
% 44.23/14.24  																																										| (813) e4 = e1
% 44.23/14.24  																																										|
% 44.23/14.24  																																										| Simplifying 813 yields:
% 44.23/14.24  																																										| (814) e4 = e1
% 44.23/14.24  																																										|
% 44.23/14.24  																																										| Equations (814) can reduce 256 to:
% 44.23/14.24  																																										| (311) $false
% 44.23/14.24  																																										|
% 44.23/14.24  																																										|-The branch is then unsatisfiable
% 44.23/14.24  																																									|-Branch two:
% 44.23/14.24  																																									| (436)  ~ (all_0_80_80 = e4)
% 44.23/14.24  																																									| (638) all_0_81_81 = e4
% 44.23/14.24  																																									|
% 44.23/14.24  																																										| Equations (638) can reduce 420 to:
% 44.23/14.24  																																										| (177)  ~ (e4 = e3)
% 44.23/14.24  																																										|
% 44.23/14.24  																																										| Equations (638) can reduce 396 to:
% 44.23/14.24  																																										| (79)  ~ (e4 = e2)
% 44.23/14.24  																																										|
% 44.23/14.24  																																										+-Applying beta-rule and splitting (437), into two cases.
% 44.23/14.24  																																										|-Branch one:
% 44.23/14.24  																																										| (438) all_0_84_84 = e4
% 44.23/14.24  																																										|
% 44.23/14.24  																																											| Equations (438) can reduce 154 to:
% 44.23/14.24  																																											| (647)  ~ (all_0_85_85 = e4)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											| Simplifying 647 yields:
% 44.23/14.24  																																											| (648)  ~ (all_0_85_85 = e4)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											| Equations (438) can reduce 87 to:
% 44.23/14.24  																																											| (1906)  ~ (all_0_92_92 = e4)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											| Simplifying 1906 yields:
% 44.23/14.24  																																											| (1619)  ~ (all_0_92_92 = e4)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											| From (438) and (122) follows:
% 44.23/14.24  																																											| (9102) op(e1, e4) = all_0_62_62
% 44.23/14.24  																																											|
% 44.23/14.24  																																											+-Applying beta-rule and splitting (725), into two cases.
% 44.23/14.24  																																											|-Branch one:
% 44.23/14.24  																																											| (804) all_0_85_85 = e3
% 44.23/14.24  																																											|
% 44.23/14.24  																																												| Equations (804) can reduce 201 to:
% 44.23/14.24  																																												| (807)  ~ (all_0_93_93 = e3)
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Simplifying 807 yields:
% 44.23/14.24  																																												| (602)  ~ (all_0_93_93 = e3)
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Equations (804) can reduce 648 to:
% 44.23/14.24  																																												| (783)  ~ (e4 = e3)
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Simplifying 783 yields:
% 44.23/14.24  																																												| (177)  ~ (e4 = e3)
% 44.23/14.24  																																												|
% 44.23/14.24  																																												+-Applying beta-rule and splitting (282), into two cases.
% 44.23/14.24  																																												|-Branch one:
% 44.23/14.24  																																												| (754) all_0_90_90 = e3
% 44.23/14.24  																																												|
% 44.23/14.24  																																													| Combining equations (583,754) yields a new equation:
% 44.23/14.24  																																													| (790) e4 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																													| Simplifying 790 yields:
% 44.23/14.24  																																													| (434) e4 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																													| Equations (434) can reduce 177 to:
% 44.23/14.24  																																													| (311) $false
% 44.23/14.24  																																													|
% 44.23/14.24  																																													|-The branch is then unsatisfiable
% 44.23/14.24  																																												|-Branch two:
% 44.23/14.24  																																												| (745)  ~ (all_0_90_90 = e3)
% 44.23/14.24  																																												| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.23/14.24  																																												|
% 44.23/14.24  																																													+-Applying beta-rule and splitting (849), into two cases.
% 44.23/14.24  																																													|-Branch one:
% 44.23/14.24  																																													| (588) all_0_91_91 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																														| Equations (588) can reduce 571 to:
% 44.23/14.24  																																														| (311) $false
% 44.23/14.24  																																														|
% 44.23/14.24  																																														|-The branch is then unsatisfiable
% 44.23/14.24  																																													|-Branch two:
% 44.23/14.24  																																													| (571)  ~ (all_0_91_91 = e3)
% 44.23/14.24  																																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																														+-Applying beta-rule and splitting (881), into two cases.
% 44.23/14.24  																																														|-Branch one:
% 44.23/14.24  																																														| (882) all_0_92_92 = e3
% 44.23/14.24  																																														|
% 44.23/14.24  																																															| Equations (882) can reduce 1619 to:
% 44.23/14.24  																																															| (783)  ~ (e4 = e3)
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| Simplifying 783 yields:
% 44.23/14.24  																																															| (177)  ~ (e4 = e3)
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| Equations (882) can reduce 298 to:
% 44.23/14.24  																																															| (169)  ~ (e3 = e2)
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| From (882) and (135) follows:
% 44.23/14.24  																																															| (8770) op(e1, e1) = e3
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| Instantiating formula (262) with e1, e4, all_0_62_62, e2 and discharging atoms op(e1, e4) = all_0_62_62, op(e1, e4) = e2, yields:
% 44.23/14.24  																																															| (9103) all_0_62_62 = e2
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| Instantiating formula (262) with e1, e1, e3, all_0_60_60 and discharging atoms op(e1, e1) = all_0_60_60, op(e1, e1) = e3, yields:
% 44.23/14.24  																																															| (1403) all_0_60_60 = e3
% 44.23/14.24  																																															|
% 44.23/14.24  																																															+-Applying beta-rule and splitting (276), into two cases.
% 44.23/14.24  																																															|-Branch one:
% 44.23/14.24  																																															| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.23/14.24  																																															|
% 44.23/14.24  																																																+-Applying beta-rule and splitting (577), into two cases.
% 44.23/14.24  																																																|-Branch one:
% 44.23/14.24  																																																| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.23/14.24  																																																|
% 44.23/14.24  																																																	+-Applying beta-rule and splitting (578), into two cases.
% 44.23/14.24  																																																	|-Branch one:
% 44.23/14.24  																																																	| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																		| Applying alpha-rule on (579) yields:
% 44.23/14.24  																																																		| (580) all_0_60_60 = e4
% 44.23/14.24  																																																		| (581)  ~ (all_0_61_61 = e1)
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Combining equations (580,1403) yields a new equation:
% 44.23/14.24  																																																		| (790) e4 = e3
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Simplifying 790 yields:
% 44.23/14.24  																																																		| (434) e4 = e3
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Equations (434) can reduce 177 to:
% 44.23/14.24  																																																		| (311) $false
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		|-The branch is then unsatisfiable
% 44.23/14.24  																																																	|-Branch two:
% 44.23/14.24  																																																	| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																		| Applying alpha-rule on (585) yields:
% 44.23/14.24  																																																		| (586) all_0_62_62 = e3
% 44.23/14.24  																																																		| (587)  ~ (all_0_63_63 = e1)
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Combining equations (586,9103) yields a new equation:
% 44.23/14.24  																																																		| (547) e3 = e2
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Simplifying 547 yields:
% 44.23/14.24  																																																		| (548) e3 = e2
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Equations (548) can reduce 169 to:
% 44.23/14.24  																																																		| (311) $false
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		|-The branch is then unsatisfiable
% 44.23/14.24  																																																|-Branch two:
% 44.23/14.24  																																																| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.23/14.24  																																																|
% 44.23/14.24  																																																	| Applying alpha-rule on (590) yields:
% 44.23/14.24  																																																	| (591) all_0_64_64 = e2
% 44.23/14.24  																																																	| (592)  ~ (all_0_65_65 = e1)
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																	| Combining equations (591,8320) yields a new equation:
% 44.23/14.24  																																																	| (522) all_0_93_93 = e2
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																	| Equations (522) can reduce 300 to:
% 44.23/14.24  																																																	| (311) $false
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																	|-The branch is then unsatisfiable
% 44.23/14.24  																																															|-Branch two:
% 44.23/14.24  																																															| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.23/14.24  																																															|
% 44.23/14.24  																																																| Applying alpha-rule on (596) yields:
% 44.23/14.24  																																																| (597) all_0_67_67 = e0
% 44.23/14.24  																																																| (598)  ~ (all_0_68_68 = e1)
% 44.23/14.24  																																																|
% 44.23/14.24  																																																| Combining equations (4077,597) yields a new equation:
% 44.23/14.24  																																																| (4610) all_0_91_91 = e0
% 44.23/14.24  																																																|
% 44.23/14.24  																																																| Simplifying 4610 yields:
% 44.23/14.24  																																																| (1456) all_0_91_91 = e0
% 44.23/14.24  																																																|
% 44.23/14.24  																																																| Equations (1368) can reduce 598 to:
% 44.23/14.24  																																																| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.24  																																																|
% 44.23/14.24  																																																+-Applying beta-rule and splitting (788), into two cases.
% 44.23/14.24  																																																|-Branch one:
% 44.23/14.24  																																																| (960) all_0_96_96 = e1
% 44.23/14.24  																																																|
% 44.23/14.24  																																																	| Equations (960) can reduce 1479 to:
% 44.23/14.24  																																																	| (311) $false
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																	|-The branch is then unsatisfiable
% 44.23/14.24  																																																|-Branch two:
% 44.23/14.24  																																																| (1479)  ~ (all_0_96_96 = e1)
% 44.23/14.24  																																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.23/14.24  																																																|
% 44.23/14.24  																																																	+-Applying beta-rule and splitting (462), into two cases.
% 44.23/14.24  																																																	|-Branch one:
% 44.23/14.24  																																																	| (801) all_0_91_91 = e1
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																		| Combining equations (801,1456) yields a new equation:
% 44.23/14.24  																																																		| (1107) e1 = e0
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Simplifying 1107 yields:
% 44.23/14.24  																																																		| (865) e1 = e0
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		| Equations (865) can reduce 264 to:
% 44.23/14.24  																																																		| (311) $false
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		|-The branch is then unsatisfiable
% 44.23/14.24  																																																	|-Branch two:
% 44.23/14.24  																																																	| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.24  																																																	| (960) all_0_96_96 = e1
% 44.23/14.24  																																																	|
% 44.23/14.24  																																																		| Equations (960) can reduce 1479 to:
% 44.23/14.24  																																																		| (311) $false
% 44.23/14.24  																																																		|
% 44.23/14.24  																																																		|-The branch is then unsatisfiable
% 44.23/14.24  																																														|-Branch two:
% 44.23/14.24  																																														| (426)  ~ (all_0_92_92 = e3)
% 44.23/14.24  																																														| (570) all_0_93_93 = e3
% 44.23/14.24  																																														|
% 44.23/14.24  																																															| Equations (570) can reduce 602 to:
% 44.23/14.24  																																															| (311) $false
% 44.23/14.24  																																															|
% 44.23/14.24  																																															|-The branch is then unsatisfiable
% 44.23/14.24  																																											|-Branch two:
% 44.23/14.24  																																											| (952)  ~ (all_0_85_85 = e3)
% 44.23/14.24  																																											| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 44.23/14.24  																																											|
% 44.23/14.24  																																												+-Applying beta-rule and splitting (1296), into two cases.
% 44.23/14.24  																																												|-Branch one:
% 44.23/14.24  																																												| (795) all_0_83_83 = e3
% 44.23/14.24  																																												|
% 44.23/14.24  																																													| Combining equations (795,453) yields a new equation:
% 44.23/14.24  																																													| (547) e3 = e2
% 44.23/14.24  																																													|
% 44.23/14.24  																																													| Simplifying 547 yields:
% 44.23/14.24  																																													| (548) e3 = e2
% 44.23/14.24  																																													|
% 44.23/14.24  																																													| Equations (548) can reduce 169 to:
% 44.23/14.24  																																													| (311) $false
% 44.23/14.24  																																													|
% 44.23/14.24  																																													|-The branch is then unsatisfiable
% 44.23/14.24  																																												|-Branch two:
% 44.23/14.24  																																												| (779)  ~ (all_0_83_83 = e3)
% 44.23/14.24  																																												| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.23/14.24  																																												|
% 44.23/14.24  																																													+-Applying beta-rule and splitting (1594), into two cases.
% 44.23/14.24  																																													|-Branch one:
% 44.23/14.24  																																													| (1265) all_0_84_84 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																														| Combining equations (438,1265) yields a new equation:
% 44.23/14.24  																																														| (790) e4 = e3
% 44.23/14.24  																																														|
% 44.23/14.24  																																														| Simplifying 790 yields:
% 44.23/14.24  																																														| (434) e4 = e3
% 44.23/14.24  																																														|
% 44.23/14.24  																																														| Equations (434) can reduce 177 to:
% 44.23/14.24  																																														| (311) $false
% 44.23/14.24  																																														|
% 44.23/14.24  																																														|-The branch is then unsatisfiable
% 44.23/14.24  																																													|-Branch two:
% 44.23/14.24  																																													| (422)  ~ (all_0_84_84 = e3)
% 44.23/14.24  																																													| (804) all_0_85_85 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																														| Equations (804) can reduce 952 to:
% 44.23/14.24  																																														| (311) $false
% 44.23/14.24  																																														|
% 44.23/14.24  																																														|-The branch is then unsatisfiable
% 44.23/14.24  																																										|-Branch two:
% 44.23/14.24  																																										| (417)  ~ (all_0_84_84 = e4)
% 44.23/14.24  																																										| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 44.23/14.24  																																										|
% 44.23/14.24  																																											+-Applying beta-rule and splitting (441), into two cases.
% 44.23/14.24  																																											|-Branch one:
% 44.23/14.24  																																											| (442) all_0_92_92 = e4
% 44.23/14.24  																																											|
% 44.23/14.24  																																												| Equations (442) can reduce 1619 to:
% 44.23/14.24  																																												| (311) $false
% 44.23/14.24  																																												|
% 44.23/14.24  																																												|-The branch is then unsatisfiable
% 44.23/14.24  																																											|-Branch two:
% 44.23/14.24  																																											| (1619)  ~ (all_0_92_92 = e4)
% 44.23/14.24  																																											| (610) all_0_97_97 = e4
% 44.23/14.24  																																											|
% 44.23/14.24  																																												| Combining equations (610,538) yields a new equation:
% 44.23/14.24  																																												| (309) e4 = e2
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Simplifying 309 yields:
% 44.23/14.24  																																												| (310) e4 = e2
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Equations (310) can reduce 79 to:
% 44.23/14.24  																																												| (311) $false
% 44.23/14.24  																																												|
% 44.23/14.24  																																												|-The branch is then unsatisfiable
% 44.23/14.24  																																						|-Branch two:
% 44.23/14.24  																																						| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.24  																																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.24  																																						|
% 44.23/14.24  																																							+-Applying beta-rule and splitting (129), into two cases.
% 44.23/14.24  																																							|-Branch one:
% 44.23/14.24  																																							| (676) all_0_78_78 = e1
% 44.23/14.24  																																							|
% 44.23/14.24  																																								| Combining equations (400,676) yields a new equation:
% 44.23/14.24  																																								| (408) e2 = e1
% 44.23/14.24  																																								|
% 44.23/14.24  																																								| Simplifying 408 yields:
% 44.23/14.24  																																								| (385) e2 = e1
% 44.23/14.24  																																								|
% 44.23/14.24  																																								| Equations (385) can reduce 243 to:
% 44.23/14.24  																																								| (311) $false
% 44.23/14.24  																																								|
% 44.23/14.24  																																								|-The branch is then unsatisfiable
% 44.23/14.24  																																							|-Branch two:
% 44.23/14.24  																																							| (1601)  ~ (all_0_78_78 = e1)
% 44.23/14.24  																																							| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 44.23/14.24  																																							|
% 44.23/14.24  																																								| Equations (400) can reduce 1601 to:
% 44.23/14.24  																																								| (243)  ~ (e2 = e1)
% 44.23/14.24  																																								|
% 44.23/14.24  																																								+-Applying beta-rule and splitting (829), into two cases.
% 44.23/14.24  																																								|-Branch one:
% 44.23/14.24  																																								| (482) all_0_87_87 = e1
% 44.23/14.24  																																								|
% 44.23/14.24  																																									| Combining equations (861,482) yields a new equation:
% 44.23/14.24  																																									| (865) e1 = e0
% 44.23/14.24  																																									|
% 44.23/14.24  																																									| Equations (865) can reduce 264 to:
% 44.23/14.24  																																									| (311) $false
% 44.23/14.24  																																									|
% 44.23/14.24  																																									|-The branch is then unsatisfiable
% 44.23/14.24  																																								|-Branch two:
% 44.23/14.24  																																								| (625)  ~ (all_0_87_87 = e1)
% 44.23/14.24  																																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.23/14.24  																																								|
% 44.23/14.24  																																									+-Applying beta-rule and splitting (45), into two cases.
% 44.23/14.24  																																									|-Branch one:
% 44.23/14.24  																																									| (546) all_0_80_80 = e2
% 44.23/14.24  																																									|
% 44.23/14.24  																																										| Equations (546) can reduce 394 to:
% 44.23/14.24  																																										| (311) $false
% 44.23/14.24  																																										|
% 44.23/14.24  																																										|-The branch is then unsatisfiable
% 44.23/14.24  																																									|-Branch two:
% 44.23/14.24  																																									| (394)  ~ (all_0_80_80 = e2)
% 44.23/14.24  																																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.23/14.24  																																									|
% 44.23/14.24  																																										+-Applying beta-rule and splitting (835), into two cases.
% 44.23/14.24  																																										|-Branch one:
% 44.23/14.24  																																										| (836) all_0_92_92 = e1
% 44.23/14.24  																																										|
% 44.23/14.24  																																											| Equations (836) can reduce 49 to:
% 44.23/14.24  																																											| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											| Equations (836) can reduce 265 to:
% 44.23/14.24  																																											| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.24  																																											|
% 44.23/14.24  																																											+-Applying beta-rule and splitting (1602), into two cases.
% 44.23/14.24  																																											|-Branch one:
% 44.23/14.24  																																											| (457) all_0_79_79 = e1
% 44.23/14.24  																																											|
% 44.23/14.24  																																												| Combining equations (1708,457) yields a new equation:
% 44.23/14.24  																																												| (825) e3 = e1
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Simplifying 825 yields:
% 44.23/14.24  																																												| (772) e3 = e1
% 44.23/14.24  																																												|
% 44.23/14.24  																																												| Equations (772) can reduce 20 to:
% 44.23/14.24  																																												| (311) $false
% 44.23/14.24  																																												|
% 44.23/14.24  																																												|-The branch is then unsatisfiable
% 44.23/14.24  																																											|-Branch two:
% 44.23/14.24  																																											| (461)  ~ (all_0_79_79 = e1)
% 44.23/14.24  																																											| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 44.23/14.24  																																											|
% 44.23/14.24  																																												+-Applying beta-rule and splitting (462), into two cases.
% 44.23/14.24  																																												|-Branch one:
% 44.23/14.24  																																												| (801) all_0_91_91 = e1
% 44.23/14.24  																																												|
% 44.23/14.24  																																													| Equations (801) can reduce 959 to:
% 44.23/14.24  																																													| (311) $false
% 44.23/14.24  																																													|
% 44.23/14.24  																																													|-The branch is then unsatisfiable
% 44.23/14.24  																																												|-Branch two:
% 44.23/14.24  																																												| (959)  ~ (all_0_91_91 = e1)
% 44.23/14.24  																																												| (960) all_0_96_96 = e1
% 44.23/14.24  																																												|
% 44.23/14.24  																																													| From (960) and (268) follows:
% 44.23/14.24  																																													| (19923) op(e0, e1) = all_0_59_59
% 44.23/14.24  																																													|
% 44.23/14.24  																																													+-Applying beta-rule and splitting (3232), into two cases.
% 44.23/14.24  																																													|-Branch one:
% 44.23/14.24  																																													| (824) all_0_80_80 = e1
% 44.23/14.24  																																													|
% 44.23/14.24  																																														| Equations (824) can reduce 828 to:
% 44.23/14.24  																																														| (311) $false
% 44.23/14.24  																																														|
% 44.23/14.24  																																														|-The branch is then unsatisfiable
% 44.23/14.24  																																													|-Branch two:
% 44.23/14.24  																																													| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.24  																																													| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.23/14.24  																																													|
% 44.23/14.24  																																														+-Applying beta-rule and splitting (8180), into two cases.
% 44.23/14.24  																																														|-Branch one:
% 44.23/14.24  																																														| (824) all_0_80_80 = e1
% 44.23/14.24  																																														|
% 44.23/14.24  																																															| Equations (824) can reduce 828 to:
% 44.23/14.24  																																															| (311) $false
% 44.23/14.24  																																															|
% 44.23/14.24  																																															|-The branch is then unsatisfiable
% 44.23/14.24  																																														|-Branch two:
% 44.23/14.24  																																														| (828)  ~ (all_0_80_80 = e1)
% 44.23/14.24  																																														| (477) all_0_81_81 = e1
% 44.23/14.24  																																														|
% 44.23/14.24  																																															| From (477) and (145) follows:
% 44.23/14.24  																																															| (14221) op(e0, e1) = all_0_69_69
% 44.23/14.24  																																															|
% 44.23/14.24  																																															| Instantiating formula (262) with e0, e1, all_0_59_59, e2 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e2, yields:
% 44.23/14.25  																																															| (5799) all_0_59_59 = e2
% 44.23/14.25  																																															|
% 44.23/14.25  																																															| Instantiating formula (262) with e0, e1, all_0_69_69, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = all_0_69_69, yields:
% 44.23/14.25  																																															| (19934) all_0_59_59 = all_0_69_69
% 44.23/14.25  																																															|
% 44.23/14.25  																																															| Combining equations (5799,19934) yields a new equation:
% 44.23/14.25  																																															| (18072) all_0_69_69 = e2
% 44.23/14.25  																																															|
% 44.32/14.25  																																															| Combining equations (18072,19934) yields a new equation:
% 44.32/14.25  																																															| (5799) all_0_59_59 = e2
% 44.32/14.25  																																															|
% 44.32/14.25  																																															| Equations (5799) can reduce 4959 to:
% 44.32/14.25  																																															| (311) $false
% 44.32/14.25  																																															|
% 44.32/14.25  																																															|-The branch is then unsatisfiable
% 44.32/14.25  																																										|-Branch two:
% 44.32/14.25  																																										| (840)  ~ (all_0_92_92 = e1)
% 44.32/14.25  																																										| (542) all_0_97_97 = e1
% 44.32/14.25  																																										|
% 44.32/14.25  																																											| Combining equations (542,538) yields a new equation:
% 44.32/14.25  																																											| (385) e2 = e1
% 44.32/14.25  																																											|
% 44.32/14.25  																																											| Equations (385) can reduce 243 to:
% 44.32/14.25  																																											| (311) $false
% 44.32/14.25  																																											|
% 44.32/14.25  																																											|-The branch is then unsatisfiable
% 44.32/14.25  																								|-Branch two:
% 44.32/14.25  																								| (467)  ~ (all_0_90_90 = e4)
% 44.32/14.25  																								| (894) all_0_95_95 = e4
% 44.32/14.25  																								|
% 44.32/14.25  																									| Combining equations (894,744) yields a new equation:
% 44.32/14.25  																									| (790) e4 = e3
% 44.32/14.25  																									|
% 44.32/14.25  																									| Simplifying 790 yields:
% 44.32/14.25  																									| (434) e4 = e3
% 44.32/14.25  																									|
% 44.32/14.25  																									| Equations (434) can reduce 177 to:
% 44.32/14.25  																									| (311) $false
% 44.32/14.25  																									|
% 44.32/14.25  																									|-The branch is then unsatisfiable
% 44.32/14.25  																						|-Branch two:
% 44.32/14.25  																						| (765)  ~ (all_0_95_95 = e3)
% 44.32/14.25  																						| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 44.32/14.25  																						|
% 44.32/14.25  																							+-Applying beta-rule and splitting (857), into two cases.
% 44.32/14.25  																							|-Branch one:
% 44.32/14.25  																							| (858) all_0_95_95 = e0
% 44.32/14.25  																							|
% 44.32/14.25  																								| Equations (858) can reduce 893 to:
% 44.32/14.25  																								| (311) $false
% 44.32/14.25  																								|
% 44.32/14.25  																								|-The branch is then unsatisfiable
% 44.32/14.25  																							|-Branch two:
% 44.32/14.25  																							| (893)  ~ (all_0_95_95 = e0)
% 44.32/14.25  																							| (894) all_0_95_95 = e4
% 44.32/14.25  																							|
% 44.32/14.25  																								| Equations (894) can reduce 315 to:
% 44.32/14.25  																								| (311) $false
% 44.32/14.25  																								|
% 44.32/14.25  																								|-The branch is then unsatisfiable
% 44.32/14.25  																		|-Branch two:
% 44.32/14.25  																		| (914)  ~ (all_0_82_82 = e0)
% 44.32/14.25  																		| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 44.32/14.25  																		|
% 44.32/14.25  																			+-Applying beta-rule and splitting (1309), into two cases.
% 44.32/14.25  																			|-Branch one:
% 44.32/14.25  																			| (798) all_0_83_83 = e0
% 44.32/14.25  																			|
% 44.32/14.25  																				| Combining equations (453,798) yields a new equation:
% 44.32/14.25  																				| (923) e2 = e0
% 44.32/14.25  																				|
% 44.32/14.25  																				| Simplifying 923 yields:
% 44.32/14.25  																				| (379) e2 = e0
% 44.32/14.25  																				|
% 44.32/14.25  																				| Equations (379) can reduce 76 to:
% 44.32/14.25  																				| (311) $false
% 44.32/14.25  																				|
% 44.32/14.25  																				|-The branch is then unsatisfiable
% 44.32/14.25  																			|-Branch two:
% 44.32/14.25  																			| (1314)  ~ (all_0_83_83 = e0)
% 44.32/14.25  																			| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.32/14.25  																			|
% 44.32/14.25  																				+-Applying beta-rule and splitting (1315), into two cases.
% 44.32/14.25  																				|-Branch one:
% 44.32/14.25  																				| (916) all_0_84_84 = e0
% 44.32/14.25  																				|
% 44.32/14.25  																					| Equations (916) can reduce 919 to:
% 44.32/14.25  																					| (311) $false
% 44.32/14.25  																					|
% 44.32/14.25  																					|-The branch is then unsatisfiable
% 44.32/14.25  																				|-Branch two:
% 44.32/14.25  																				| (919)  ~ (all_0_84_84 = e0)
% 44.32/14.25  																				| (954) all_0_85_85 = e0
% 44.32/14.25  																				|
% 44.32/14.25  																					| Equations (954) can reduce 118 to:
% 44.32/14.25  																					| (257)  ~ (all_0_81_81 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Equations (954) can reduce 154 to:
% 44.32/14.25  																					| (919)  ~ (all_0_84_84 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Equations (954) can reduce 201 to:
% 44.32/14.25  																					| (508)  ~ (all_0_93_93 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Simplifying 508 yields:
% 44.32/14.25  																					| (509)  ~ (all_0_93_93 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Equations (954) can reduce 75 to:
% 44.32/14.25  																					| (2058)  ~ (all_0_98_98 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Simplifying 2058 yields:
% 44.32/14.25  																					| (2059)  ~ (all_0_98_98 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Equations (954) can reduce 128 to:
% 44.32/14.25  																					| (859)  ~ (e1 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| Simplifying 859 yields:
% 44.32/14.25  																					| (264)  ~ (e1 = e0)
% 44.32/14.25  																					|
% 44.32/14.25  																					| From (954) and (197) follows:
% 44.32/14.25  																					| (10073) op(e3, e0) = all_0_72_72
% 44.32/14.25  																					|
% 44.32/14.25  																					| From (954) and (8) follows:
% 44.32/14.25  																					| (1093) op(e3, e0) = e0
% 44.32/14.25  																					|
% 44.32/14.25  																					| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 44.32/14.25  																					| (10076) all_0_72_72 = e0
% 44.32/14.25  																					|
% 44.32/14.25  																					+-Applying beta-rule and splitting (109), into two cases.
% 44.32/14.25  																					|-Branch one:
% 44.32/14.25  																					| (469) all_0_82_82 = e4
% 44.32/14.25  																					|
% 44.32/14.25  																						| Equations (469) can reduce 7 to:
% 44.32/14.25  																						| (662)  ~ (all_0_84_84 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Simplifying 662 yields:
% 44.32/14.25  																						| (417)  ~ (all_0_84_84 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Equations (469) can reduce 255 to:
% 44.32/14.25  																						| (466)  ~ (all_0_90_90 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Simplifying 466 yields:
% 44.32/14.25  																						| (467)  ~ (all_0_90_90 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Equations (469) can reduce 200 to:
% 44.32/14.25  																						| (314)  ~ (all_0_95_95 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Simplifying 314 yields:
% 44.32/14.25  																						| (315)  ~ (all_0_95_95 = e4)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Equations (469) can reduce 347 to:
% 44.32/14.25  																						| (79)  ~ (e4 = e2)
% 44.32/14.25  																						|
% 44.32/14.25  																						| Equations (469) can reduce 198 to:
% 44.32/14.25  																						| (256)  ~ (e4 = e1)
% 44.32/14.25  																						|
% 44.32/14.25  																						| From (469) and (61) follows:
% 44.32/14.25  																						| (671) op(e3, e3) = e4
% 44.32/14.25  																						|
% 44.32/14.25  																						+-Applying beta-rule and splitting (92), into two cases.
% 44.32/14.25  																						|-Branch one:
% 44.32/14.25  																						| (552) all_0_84_84 = e2
% 44.32/14.25  																						|
% 44.32/14.25  																							| Equations (552) can reduce 612 to:
% 44.32/14.25  																							| (311) $false
% 44.32/14.25  																							|
% 44.32/14.25  																							|-The branch is then unsatisfiable
% 44.32/14.25  																						|-Branch two:
% 44.32/14.25  																						| (612)  ~ (all_0_84_84 = e2)
% 44.32/14.25  																						| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.32/14.25  																						|
% 44.32/14.25  																							+-Applying beta-rule and splitting (617), into two cases.
% 44.32/14.25  																							|-Branch one:
% 44.32/14.25  																							| (1265) all_0_84_84 = e3
% 44.32/14.25  																							|
% 44.32/14.25  																								| Equations (1265) can reduce 273 to:
% 44.32/14.25  																								| (2347)  ~ (all_0_80_80 = e3)
% 44.32/14.25  																								|
% 44.32/14.25  																								| Equations (1265) can reduce 87 to:
% 44.32/14.25  																								| (425)  ~ (all_0_92_92 = e3)
% 44.32/14.25  																								|
% 44.32/14.25  																								| Simplifying 425 yields:
% 44.32/14.25  																								| (426)  ~ (all_0_92_92 = e3)
% 44.32/14.25  																								|
% 44.32/14.25  																								| Equations (1265) can reduce 417 to:
% 44.32/14.25  																								| (783)  ~ (e4 = e3)
% 44.32/14.25  																								|
% 44.32/14.25  																								| Simplifying 783 yields:
% 44.32/14.25  																								| (177)  ~ (e4 = e3)
% 44.32/14.25  																								|
% 44.32/14.25  																								| Equations (1265) can reduce 612 to:
% 44.32/14.25  																								| (169)  ~ (e3 = e2)
% 44.32/14.25  																								|
% 44.32/14.25  																								| From (1265) and (150) follows:
% 44.32/14.25  																								| (4457) op(e3, e3) = all_0_63_63
% 44.32/14.25  																								|
% 44.32/14.25  																								| From (1265) and (122) follows:
% 44.32/14.25  																								| (3507) op(e1, e3) = all_0_62_62
% 44.32/14.25  																								|
% 44.32/14.25  																								| Instantiating formula (262) with e3, e3, e4, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e4, yields:
% 44.32/14.25  																								| (10099) all_0_63_63 = e4
% 44.32/14.25  																								|
% 44.32/14.25  																								| Instantiating formula (262) with e1, e3, all_0_62_62, all_0_90_90 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = all_0_90_90, yields:
% 44.32/14.25  																								| (20001) all_0_62_62 = all_0_90_90
% 44.32/14.25  																								|
% 44.32/14.25  																								+-Applying beta-rule and splitting (151), into two cases.
% 44.32/14.25  																								|-Branch one:
% 44.32/14.25  																								| (824) all_0_80_80 = e1
% 44.32/14.25  																								|
% 44.32/14.25  																									| Equations (824) can reduce 63 to:
% 44.32/14.25  																									| (461)  ~ (all_0_79_79 = e1)
% 44.32/14.25  																									|
% 44.32/14.25  																									| Equations (824) can reduce 166 to:
% 44.32/14.25  																									| (264)  ~ (e1 = e0)
% 44.32/14.25  																									|
% 44.32/14.25  																									| From (824) and (39) follows:
% 44.32/14.26  																									| (20005) op(e4, e1) = all_0_61_61
% 44.32/14.26  																									|
% 44.32/14.26  																									| From (824) and (281) follows:
% 44.32/14.26  																									| (20006) op(e4, e1) = e1
% 44.32/14.26  																									|
% 44.32/14.26  																									+-Applying beta-rule and splitting (210), into two cases.
% 44.32/14.26  																									|-Branch one:
% 44.32/14.26  																									| (433) all_0_80_80 = e4
% 44.32/14.26  																									|
% 44.32/14.26  																										| Combining equations (824,433) yields a new equation:
% 44.32/14.26  																										| (814) e4 = e1
% 44.32/14.26  																										|
% 44.32/14.26  																										| Equations (814) can reduce 256 to:
% 44.32/14.26  																										| (311) $false
% 44.32/14.26  																										|
% 44.32/14.26  																										|-The branch is then unsatisfiable
% 44.32/14.26  																									|-Branch two:
% 44.32/14.26  																									| (436)  ~ (all_0_80_80 = e4)
% 44.32/14.26  																									| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.32/14.26  																									|
% 44.32/14.26  																										+-Applying beta-rule and splitting (437), into two cases.
% 44.32/14.26  																										|-Branch one:
% 44.32/14.26  																										| (438) all_0_84_84 = e4
% 44.32/14.26  																										|
% 44.32/14.26  																											| Combining equations (438,1265) yields a new equation:
% 44.32/14.26  																											| (790) e4 = e3
% 44.32/14.26  																											|
% 44.32/14.26  																											| Simplifying 790 yields:
% 44.32/14.26  																											| (434) e4 = e3
% 44.32/14.26  																											|
% 44.32/14.26  																											| Equations (434) can reduce 177 to:
% 44.32/14.26  																											| (311) $false
% 44.32/14.26  																											|
% 44.32/14.26  																											|-The branch is then unsatisfiable
% 44.32/14.26  																										|-Branch two:
% 44.32/14.26  																										| (417)  ~ (all_0_84_84 = e4)
% 44.32/14.26  																										| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 44.32/14.26  																										|
% 44.32/14.26  																											+-Applying beta-rule and splitting (441), into two cases.
% 44.32/14.26  																											|-Branch one:
% 44.32/14.26  																											| (442) all_0_92_92 = e4
% 44.32/14.26  																											|
% 44.32/14.26  																												| Equations (442) can reduce 283 to:
% 44.32/14.26  																												| (495)  ~ (all_0_93_93 = e4)
% 44.32/14.26  																												|
% 44.32/14.26  																												| Simplifying 495 yields:
% 44.32/14.26  																												| (496)  ~ (all_0_93_93 = e4)
% 44.32/14.26  																												|
% 44.32/14.26  																												| Equations (442) can reduce 946 to:
% 44.32/14.26  																												| (23)  ~ (e4 = e0)
% 44.32/14.26  																												|
% 44.32/14.26  																												+-Applying beta-rule and splitting (168), into two cases.
% 44.32/14.26  																												|-Branch one:
% 44.32/14.26  																												| (638) all_0_81_81 = e4
% 44.32/14.26  																												|
% 44.32/14.26  																													| Equations (638) can reduce 257 to:
% 44.32/14.26  																													| (23)  ~ (e4 = e0)
% 44.32/14.26  																													|
% 44.32/14.26  																													| From (638) and (68) follows:
% 44.32/14.26  																													| (657) op(e4, e4) = all_0_70_70
% 44.32/14.26  																													|
% 44.32/14.26  																													+-Applying beta-rule and splitting (1623), into two cases.
% 44.32/14.26  																													|-Branch one:
% 44.32/14.26  																													| (457) all_0_79_79 = e1
% 44.32/14.26  																													|
% 44.32/14.26  																														| Equations (457) can reduce 461 to:
% 44.32/14.26  																														| (311) $false
% 44.32/14.26  																														|
% 44.32/14.26  																														|-The branch is then unsatisfiable
% 44.32/14.26  																													|-Branch two:
% 44.32/14.26  																													| (461)  ~ (all_0_79_79 = e1)
% 44.32/14.26  																													| (1708) all_0_79_79 = e3
% 44.32/14.26  																													|
% 44.32/14.26  																														| Equations (1708) can reduce 214 to:
% 44.32/14.26  																														| (1300)  ~ (all_0_96_96 = e3)
% 44.32/14.26  																														|
% 44.32/14.26  																														| Simplifying 1300 yields:
% 44.32/14.26  																														| (964)  ~ (all_0_96_96 = e3)
% 44.32/14.26  																														|
% 44.32/14.26  																														| Equations (1708) can reduce 9 to:
% 44.32/14.26  																														| (50)  ~ (e3 = e0)
% 44.32/14.26  																														|
% 44.32/14.26  																														| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 44.32/14.26  																														| (686) all_0_70_70 = e0
% 44.32/14.26  																														|
% 44.32/14.26  																														| Instantiating formula (262) with e4, e1, e1, all_0_61_61 and discharging atoms op(e4, e1) = all_0_61_61, op(e4, e1) = e1, yields:
% 44.32/14.26  																														| (20033) all_0_61_61 = e1
% 44.32/14.26  																														|
% 44.32/14.26  																														+-Applying beta-rule and splitting (89), into two cases.
% 44.32/14.26  																														|-Branch one:
% 44.32/14.26  																														| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.32/14.26  																														|
% 44.32/14.26  																															+-Applying beta-rule and splitting (1373), into two cases.
% 44.32/14.26  																															|-Branch one:
% 44.32/14.26  																															| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.32/14.26  																															|
% 44.32/14.26  																																+-Applying beta-rule and splitting (1374), into two cases.
% 44.32/14.26  																																|-Branch one:
% 44.32/14.26  																																| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.32/14.26  																																|
% 44.32/14.26  																																	| Applying alpha-rule on (1375) yields:
% 44.32/14.26  																																	| (1376) all_0_69_69 = e4
% 44.32/14.26  																																	| (1377)  ~ (all_0_70_70 = e0)
% 44.32/14.26  																																	|
% 44.32/14.26  																																	| Equations (686) can reduce 1377 to:
% 44.32/14.26  																																	| (311) $false
% 44.32/14.26  																																	|
% 44.32/14.26  																																	|-The branch is then unsatisfiable
% 44.32/14.26  																																|-Branch two:
% 44.32/14.26  																																| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.32/14.26  																																|
% 44.32/14.26  																																	| Applying alpha-rule on (1379) yields:
% 44.32/14.26  																																	| (1380) all_0_71_71 = e3
% 44.32/14.26  																																	| (1381)  ~ (all_0_72_72 = e0)
% 44.32/14.26  																																	|
% 44.32/14.26  																																	| Equations (10076) can reduce 1381 to:
% 44.32/14.26  																																	| (311) $false
% 44.32/14.26  																																	|
% 44.32/14.26  																																	|-The branch is then unsatisfiable
% 44.32/14.26  																															|-Branch two:
% 44.32/14.26  																															| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.32/14.26  																															|
% 44.32/14.26  																																| Applying alpha-rule on (1385) yields:
% 44.32/14.26  																																| (1386) all_0_73_73 = e2
% 44.32/14.26  																																| (1387)  ~ (all_0_74_74 = e0)
% 44.32/14.26  																																|
% 44.32/14.26  																																| Combining equations (18823,1386) yields a new equation:
% 44.32/14.26  																																| (20047) all_0_96_96 = e2
% 44.32/14.26  																																|
% 44.32/14.26  																																| Simplifying 20047 yields:
% 44.32/14.26  																																| (1704) all_0_96_96 = e2
% 44.32/14.26  																																|
% 44.32/14.26  																																| Equations (1704) can reduce 1638 to:
% 44.32/14.26  																																| (311) $false
% 44.32/14.26  																																|
% 44.32/14.26  																																|-The branch is then unsatisfiable
% 44.32/14.26  																														|-Branch two:
% 44.32/14.26  																														| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.32/14.26  																														|
% 44.32/14.26  																															| Applying alpha-rule on (1391) yields:
% 44.32/14.26  																															| (1392) all_0_75_75 = e1
% 44.32/14.26  																															| (1393)  ~ (all_0_76_76 = e0)
% 44.32/14.26  																															|
% 44.32/14.26  																															| From (1392) and (173) follows:
% 44.32/14.26  																															| (1394) op(e0, all_0_93_93) = e1
% 44.32/14.26  																															|
% 44.32/14.26  																															+-Applying beta-rule and splitting (132), into two cases.
% 44.32/14.26  																															|-Branch one:
% 44.32/14.26  																															| (750) all_0_90_90 = e1
% 44.32/14.26  																															|
% 44.32/14.26  																																| Equations (750) can reduce 678 to:
% 44.32/14.26  																																| (311) $false
% 44.32/14.26  																																|
% 44.32/14.26  																																|-The branch is then unsatisfiable
% 44.32/14.26  																															|-Branch two:
% 44.32/14.26  																															| (678)  ~ (all_0_90_90 = e1)
% 44.32/14.26  																															| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.32/14.26  																															|
% 44.32/14.26  																																+-Applying beta-rule and splitting (291), into two cases.
% 44.32/14.26  																																|-Branch one:
% 44.32/14.26  																																| (758) all_0_90_90 = e0
% 44.32/14.26  																																|
% 44.32/14.26  																																	| Combining equations (758,20001) yields a new equation:
% 44.32/14.26  																																	| (8348) all_0_62_62 = e0
% 44.32/14.26  																																	|
% 44.32/14.26  																																	| Equations (758) can reduce 103 to:
% 44.32/14.26  																																	| (1830)  ~ (all_0_91_91 = e0)
% 44.32/14.26  																																	|
% 44.32/14.26  																																	| Simplifying 1830 yields:
% 44.32/14.26  																																	| (1487)  ~ (all_0_91_91 = e0)
% 44.32/14.26  																																	|
% 44.32/14.26  																																	+-Applying beta-rule and splitting (276), into two cases.
% 44.32/14.26  																																	|-Branch one:
% 44.32/14.26  																																	| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.32/14.26  																																	|
% 44.32/14.26  																																		+-Applying beta-rule and splitting (577), into two cases.
% 44.32/14.26  																																		|-Branch one:
% 44.32/14.26  																																		| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.32/14.26  																																		|
% 44.32/14.26  																																			+-Applying beta-rule and splitting (578), into two cases.
% 44.32/14.26  																																			|-Branch one:
% 44.32/14.26  																																			| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.32/14.26  																																			|
% 44.32/14.26  																																				| Applying alpha-rule on (579) yields:
% 44.32/14.26  																																				| (580) all_0_60_60 = e4
% 44.32/14.26  																																				| (581)  ~ (all_0_61_61 = e1)
% 44.32/14.26  																																				|
% 44.32/14.26  																																				| Equations (20033) can reduce 581 to:
% 44.32/14.26  																																				| (311) $false
% 44.32/14.26  																																				|
% 44.32/14.26  																																				|-The branch is then unsatisfiable
% 44.32/14.26  																																			|-Branch two:
% 44.32/14.26  																																			| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.32/14.26  																																			|
% 44.32/14.26  																																				| Applying alpha-rule on (585) yields:
% 44.32/14.26  																																				| (586) all_0_62_62 = e3
% 44.32/14.26  																																				| (587)  ~ (all_0_63_63 = e1)
% 44.32/14.26  																																				|
% 44.32/14.26  																																				| Combining equations (8348,586) yields a new equation:
% 44.32/14.26  																																				| (600) e3 = e0
% 44.32/14.26  																																				|
% 44.32/14.26  																																				| Equations (600) can reduce 50 to:
% 44.32/14.26  																																				| (311) $false
% 44.32/14.26  																																				|
% 44.32/14.26  																																				|-The branch is then unsatisfiable
% 44.32/14.26  																																		|-Branch two:
% 44.32/14.26  																																		| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.32/14.26  																																		|
% 44.32/14.26  																																			| Applying alpha-rule on (590) yields:
% 44.32/14.26  																																			| (591) all_0_64_64 = e2
% 44.32/14.26  																																			| (592)  ~ (all_0_65_65 = e1)
% 44.32/14.26  																																			|
% 44.32/14.26  																																			| Combining equations (591,8320) yields a new equation:
% 44.32/14.26  																																			| (522) all_0_93_93 = e2
% 44.32/14.26  																																			|
% 44.32/14.26  																																			| Equations (522) can reduce 300 to:
% 44.32/14.26  																																			| (311) $false
% 44.32/14.26  																																			|
% 44.32/14.26  																																			|-The branch is then unsatisfiable
% 44.32/14.26  																																	|-Branch two:
% 44.32/14.26  																																	| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.32/14.26  																																	|
% 44.32/14.26  																																		| Applying alpha-rule on (596) yields:
% 44.32/14.26  																																		| (597) all_0_67_67 = e0
% 44.32/14.26  																																		| (598)  ~ (all_0_68_68 = e1)
% 44.32/14.26  																																		|
% 44.32/14.26  																																		| Combining equations (4077,597) yields a new equation:
% 44.32/14.26  																																		| (4610) all_0_91_91 = e0
% 44.32/14.26  																																		|
% 44.32/14.26  																																		| Simplifying 4610 yields:
% 44.32/14.26  																																		| (1456) all_0_91_91 = e0
% 44.32/14.26  																																		|
% 44.32/14.26  																																		| Equations (1456) can reduce 1487 to:
% 44.32/14.26  																																		| (311) $false
% 44.32/14.26  																																		|
% 44.32/14.26  																																		|-The branch is then unsatisfiable
% 44.32/14.26  																																|-Branch two:
% 44.32/14.26  																																| (762)  ~ (all_0_90_90 = e0)
% 44.32/14.26  																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.32/14.26  																																|
% 44.32/14.26  																																	+-Applying beta-rule and splitting (254), into two cases.
% 44.32/14.26  																																	|-Branch one:
% 44.32/14.27  																																	| (910) all_0_82_82 = e0
% 44.32/14.27  																																	|
% 44.32/14.27  																																		| Combining equations (910,469) yields a new equation:
% 44.32/14.27  																																		| (912) e4 = e0
% 44.32/14.27  																																		|
% 44.32/14.27  																																		| Equations (912) can reduce 23 to:
% 44.32/14.27  																																		| (311) $false
% 44.32/14.27  																																		|
% 44.32/14.27  																																		|-The branch is then unsatisfiable
% 44.32/14.27  																																	|-Branch two:
% 44.32/14.27  																																	| (914)  ~ (all_0_82_82 = e0)
% 44.32/14.27  																																	| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.32/14.27  																																	|
% 44.32/14.27  																																		+-Applying beta-rule and splitting (915), into two cases.
% 44.32/14.27  																																		|-Branch one:
% 44.32/14.27  																																		| (378) all_0_86_86 = e0
% 44.32/14.27  																																		|
% 44.32/14.27  																																			| Combining equations (384,378) yields a new equation:
% 44.32/14.27  																																			| (1107) e1 = e0
% 44.32/14.27  																																			|
% 44.32/14.27  																																			| Simplifying 1107 yields:
% 44.32/14.27  																																			| (865) e1 = e0
% 44.32/14.27  																																			|
% 44.32/14.27  																																			| Equations (865) can reduce 264 to:
% 44.32/14.27  																																			| (311) $false
% 44.32/14.27  																																			|
% 44.32/14.27  																																			|-The branch is then unsatisfiable
% 44.32/14.27  																																		|-Branch two:
% 44.32/14.27  																																		| (381)  ~ (all_0_86_86 = e0)
% 44.32/14.27  																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.32/14.27  																																		|
% 44.32/14.27  																																			+-Applying beta-rule and splitting (927), into two cases.
% 44.32/14.27  																																			|-Branch one:
% 44.32/14.27  																																			| (758) all_0_90_90 = e0
% 44.32/14.27  																																			|
% 44.32/14.27  																																				| Equations (758) can reduce 762 to:
% 44.32/14.27  																																				| (311) $false
% 44.32/14.27  																																				|
% 44.32/14.27  																																				|-The branch is then unsatisfiable
% 44.32/14.27  																																			|-Branch two:
% 44.32/14.27  																																			| (762)  ~ (all_0_90_90 = e0)
% 44.32/14.27  																																			| (858) all_0_95_95 = e0
% 44.32/14.27  																																			|
% 44.32/14.27  																																				| Equations (858) can reduce 315 to:
% 44.32/14.27  																																				| (904)  ~ (e4 = e0)
% 44.32/14.27  																																				|
% 44.32/14.27  																																				| Simplifying 904 yields:
% 44.32/14.27  																																				| (23)  ~ (e4 = e0)
% 44.32/14.27  																																				|
% 44.32/14.27  																																				+-Applying beta-rule and splitting (1455), into two cases.
% 44.32/14.27  																																				|-Branch one:
% 44.32/14.27  																																				| (1456) all_0_91_91 = e0
% 44.32/14.27  																																				|
% 44.32/14.27  																																					| Equations (1456) can reduce 64 to:
% 44.32/14.27  																																					| (2296)  ~ (all_0_96_96 = e0)
% 44.32/14.27  																																					|
% 44.32/14.27  																																					| Simplifying 2296 yields:
% 44.32/14.27  																																					| (2095)  ~ (all_0_96_96 = e0)
% 44.32/14.27  																																					|
% 44.32/14.27  																																					+-Applying beta-rule and splitting (84), into two cases.
% 44.32/14.27  																																					|-Branch one:
% 44.32/14.27  																																					| (1704) all_0_96_96 = e2
% 44.32/14.27  																																					|
% 44.32/14.27  																																						| Equations (1704) can reduce 1638 to:
% 44.32/14.27  																																						| (311) $false
% 44.32/14.27  																																						|
% 44.32/14.27  																																						|-The branch is then unsatisfiable
% 44.32/14.27  																																					|-Branch two:
% 44.32/14.27  																																					| (1638)  ~ (all_0_96_96 = e2)
% 44.32/14.27  																																					| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.32/14.27  																																					|
% 44.32/14.27  																																						+-Applying beta-rule and splitting (1707), into two cases.
% 44.32/14.27  																																						|-Branch one:
% 44.32/14.27  																																						| (960) all_0_96_96 = e1
% 44.32/14.27  																																						|
% 44.32/14.27  																																							| Combining equations (960,1368) yields a new equation:
% 44.32/14.27  																																							| (1419) all_0_68_68 = e1
% 44.32/14.27  																																							|
% 44.32/14.27  																																							| Equations (960) can reduce 2095 to:
% 44.32/14.27  																																							| (264)  ~ (e1 = e0)
% 44.32/14.27  																																							|
% 44.32/14.27  																																							+-Applying beta-rule and splitting (276), into two cases.
% 44.32/14.27  																																							|-Branch one:
% 44.32/14.27  																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.32/14.27  																																							|
% 44.32/14.27  																																								+-Applying beta-rule and splitting (577), into two cases.
% 44.32/14.27  																																								|-Branch one:
% 44.32/14.27  																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.32/14.27  																																								|
% 44.32/14.27  																																									+-Applying beta-rule and splitting (578), into two cases.
% 44.32/14.27  																																									|-Branch one:
% 44.32/14.27  																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.32/14.27  																																									|
% 44.32/14.27  																																										| Applying alpha-rule on (579) yields:
% 44.32/14.27  																																										| (580) all_0_60_60 = e4
% 44.32/14.27  																																										| (581)  ~ (all_0_61_61 = e1)
% 44.32/14.27  																																										|
% 44.32/14.27  																																										| Equations (20033) can reduce 581 to:
% 44.32/14.27  																																										| (311) $false
% 44.32/14.27  																																										|
% 44.32/14.27  																																										|-The branch is then unsatisfiable
% 44.32/14.27  																																									|-Branch two:
% 44.32/14.27  																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.32/14.27  																																									|
% 44.32/14.27  																																										| Applying alpha-rule on (585) yields:
% 44.32/14.27  																																										| (586) all_0_62_62 = e3
% 44.32/14.27  																																										| (587)  ~ (all_0_63_63 = e1)
% 44.32/14.27  																																										|
% 44.32/14.27  																																										| Equations (10099) can reduce 587 to:
% 44.32/14.27  																																										| (256)  ~ (e4 = e1)
% 44.32/14.27  																																										|
% 44.32/14.27  																																										+-Applying beta-rule and splitting (1526), into two cases.
% 44.32/14.27  																																										|-Branch one:
% 44.32/14.27  																																										| (801) all_0_91_91 = e1
% 44.32/14.27  																																										|
% 44.32/14.27  																																											| Combining equations (1456,801) yields a new equation:
% 44.32/14.27  																																											| (865) e1 = e0
% 44.32/14.27  																																											|
% 44.32/14.27  																																											| Equations (865) can reduce 264 to:
% 44.32/14.27  																																											| (311) $false
% 44.32/14.27  																																											|
% 44.32/14.27  																																											|-The branch is then unsatisfiable
% 44.32/14.27  																																										|-Branch two:
% 44.32/14.27  																																										| (959)  ~ (all_0_91_91 = e1)
% 44.32/14.27  																																										| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.32/14.27  																																										|
% 44.32/14.27  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 44.32/14.27  																																											|-Branch one:
% 44.32/14.27  																																											| (836) all_0_92_92 = e1
% 44.32/14.27  																																											|
% 44.32/14.27  																																												| Combining equations (442,836) yields a new equation:
% 44.32/14.27  																																												| (813) e4 = e1
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| Simplifying 813 yields:
% 44.32/14.27  																																												| (814) e4 = e1
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| Equations (814) can reduce 256 to:
% 44.32/14.27  																																												| (311) $false
% 44.32/14.27  																																												|
% 44.32/14.27  																																												|-The branch is then unsatisfiable
% 44.32/14.27  																																											|-Branch two:
% 44.32/14.27  																																											| (840)  ~ (all_0_92_92 = e1)
% 44.32/14.27  																																											| (566) all_0_93_93 = e1
% 44.32/14.27  																																											|
% 44.32/14.27  																																												| Equations (566) can reduce 300 to:
% 44.32/14.27  																																												| (487)  ~ (e2 = e1)
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| Simplifying 487 yields:
% 44.32/14.27  																																												| (243)  ~ (e2 = e1)
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| From (566) and (1394) follows:
% 44.32/14.27  																																												| (2475) op(e0, e1) = e1
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| Instantiating formula (262) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 44.32/14.27  																																												| (385) e2 = e1
% 44.32/14.27  																																												|
% 44.32/14.27  																																												| Equations (385) can reduce 243 to:
% 44.32/14.27  																																												| (311) $false
% 44.32/14.27  																																												|
% 44.32/14.27  																																												|-The branch is then unsatisfiable
% 44.32/14.27  																																								|-Branch two:
% 44.32/14.27  																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.32/14.27  																																								|
% 44.32/14.27  																																									| Applying alpha-rule on (590) yields:
% 44.32/14.27  																																									| (591) all_0_64_64 = e2
% 44.32/14.27  																																									| (592)  ~ (all_0_65_65 = e1)
% 44.32/14.27  																																									|
% 44.32/14.27  																																									| Combining equations (591,8320) yields a new equation:
% 44.32/14.27  																																									| (522) all_0_93_93 = e2
% 44.32/14.27  																																									|
% 44.32/14.27  																																									| Equations (522) can reduce 300 to:
% 44.32/14.27  																																									| (311) $false
% 44.32/14.27  																																									|
% 44.32/14.27  																																									|-The branch is then unsatisfiable
% 44.32/14.27  																																							|-Branch two:
% 44.32/14.27  																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.32/14.27  																																							|
% 44.32/14.27  																																								| Applying alpha-rule on (596) yields:
% 44.32/14.27  																																								| (597) all_0_67_67 = e0
% 44.32/14.27  																																								| (598)  ~ (all_0_68_68 = e1)
% 44.32/14.27  																																								|
% 44.32/14.27  																																								| Equations (1419) can reduce 598 to:
% 44.32/14.27  																																								| (311) $false
% 44.32/14.27  																																								|
% 44.32/14.27  																																								|-The branch is then unsatisfiable
% 44.32/14.27  																																						|-Branch two:
% 44.32/14.27  																																						| (1479)  ~ (all_0_96_96 = e1)
% 44.32/14.27  																																						| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.32/14.27  																																						|
% 44.32/14.27  																																							+-Applying beta-rule and splitting (2016), into two cases.
% 44.32/14.27  																																							|-Branch one:
% 44.32/14.27  																																							| (778) all_0_96_96 = e3
% 44.32/14.27  																																							|
% 44.32/14.27  																																								| Equations (778) can reduce 964 to:
% 44.32/14.27  																																								| (311) $false
% 44.32/14.27  																																								|
% 44.32/14.27  																																								|-The branch is then unsatisfiable
% 44.32/14.27  																																							|-Branch two:
% 44.32/14.27  																																							| (964)  ~ (all_0_96_96 = e3)
% 44.32/14.27  																																							| (1837) all_0_96_96 = e0
% 44.32/14.27  																																							|
% 44.32/14.27  																																								| Equations (1837) can reduce 2095 to:
% 44.32/14.27  																																								| (311) $false
% 44.32/14.27  																																								|
% 44.32/14.27  																																								|-The branch is then unsatisfiable
% 44.32/14.27  																																				|-Branch two:
% 44.32/14.27  																																				| (1487)  ~ (all_0_91_91 = e0)
% 44.32/14.27  																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.32/14.27  																																				|
% 44.32/14.27  																																					+-Applying beta-rule and splitting (1488), into two cases.
% 44.32/14.27  																																					|-Branch one:
% 44.32/14.27  																																					| (942) all_0_92_92 = e0
% 44.32/14.27  																																					|
% 44.32/14.27  																																						| Combining equations (942,442) yields a new equation:
% 44.32/14.27  																																						| (912) e4 = e0
% 44.32/14.27  																																						|
% 44.32/14.27  																																						| Equations (912) can reduce 23 to:
% 44.32/14.27  																																						| (311) $false
% 44.32/14.27  																																						|
% 44.32/14.27  																																						|-The branch is then unsatisfiable
% 44.32/14.27  																																					|-Branch two:
% 44.32/14.27  																																					| (946)  ~ (all_0_92_92 = e0)
% 44.32/14.27  																																					| (604) all_0_93_93 = e0
% 44.32/14.27  																																					|
% 44.32/14.27  																																						| Equations (604) can reduce 509 to:
% 44.32/14.27  																																						| (311) $false
% 44.32/14.27  																																						|
% 44.32/14.27  																																						|-The branch is then unsatisfiable
% 44.32/14.27  																												|-Branch two:
% 44.32/14.27  																												| (634)  ~ (all_0_81_81 = e4)
% 44.32/14.27  																												| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.32/14.27  																												|
% 44.32/14.27  																													+-Applying beta-rule and splitting (2559), into two cases.
% 44.32/14.27  																													|-Branch one:
% 44.32/14.27  																													| (493) all_0_85_85 = e4
% 44.32/14.27  																													|
% 44.32/14.27  																														| Combining equations (954,493) yields a new equation:
% 44.32/14.27  																														| (912) e4 = e0
% 44.32/14.27  																														|
% 44.32/14.27  																														| Equations (912) can reduce 23 to:
% 44.32/14.27  																														| (311) $false
% 44.32/14.27  																														|
% 44.32/14.27  																														|-The branch is then unsatisfiable
% 44.32/14.27  																													|-Branch two:
% 44.32/14.27  																													| (648)  ~ (all_0_85_85 = e4)
% 44.32/14.27  																													| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 44.32/14.27  																													|
% 44.32/14.27  																														+-Applying beta-rule and splitting (2576), into two cases.
% 44.32/14.27  																														|-Branch one:
% 44.32/14.27  																														| (607) all_0_93_93 = e4
% 44.32/14.27  																														|
% 44.32/14.27  																															| Equations (607) can reduce 496 to:
% 44.32/14.27  																															| (311) $false
% 44.32/14.27  																															|
% 44.32/14.27  																															|-The branch is then unsatisfiable
% 44.32/14.27  																														|-Branch two:
% 44.32/14.27  																														| (496)  ~ (all_0_93_93 = e4)
% 44.32/14.27  																														| (2650) all_0_98_98 = e4
% 44.32/14.27  																														|
% 44.32/14.27  																															| Equations (2650) can reduce 321 to:
% 44.32/14.27  																															| (311) $false
% 44.32/14.27  																															|
% 44.32/14.27  																															|-The branch is then unsatisfiable
% 44.32/14.27  																											|-Branch two:
% 44.32/14.27  																											| (1619)  ~ (all_0_92_92 = e4)
% 44.32/14.27  																											| (610) all_0_97_97 = e4
% 44.32/14.27  																											|
% 44.32/14.27  																												| Combining equations (538,610) yields a new equation:
% 44.32/14.27  																												| (310) e4 = e2
% 44.32/14.27  																												|
% 44.32/14.27  																												| Equations (310) can reduce 79 to:
% 44.32/14.27  																												| (311) $false
% 44.32/14.27  																												|
% 44.32/14.27  																												|-The branch is then unsatisfiable
% 44.32/14.27  																								|-Branch two:
% 44.32/14.27  																								| (828)  ~ (all_0_80_80 = e1)
% 44.32/14.27  																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.32/14.27  																								|
% 44.32/14.27  																									+-Applying beta-rule and splitting (829), into two cases.
% 44.32/14.27  																									|-Branch one:
% 44.32/14.27  																									| (482) all_0_87_87 = e1
% 44.32/14.27  																									|
% 44.32/14.27  																										| Combining equations (482,861) yields a new equation:
% 44.32/14.27  																										| (1107) e1 = e0
% 44.32/14.27  																										|
% 44.32/14.27  																										| Simplifying 1107 yields:
% 44.32/14.27  																										| (865) e1 = e0
% 44.32/14.27  																										|
% 44.32/14.27  																										| Equations (865) can reduce 264 to:
% 44.32/14.27  																										| (311) $false
% 44.32/14.27  																										|
% 44.32/14.27  																										|-The branch is then unsatisfiable
% 44.32/14.27  																									|-Branch two:
% 44.32/14.27  																									| (625)  ~ (all_0_87_87 = e1)
% 44.32/14.27  																									| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.32/14.27  																									|
% 44.32/14.27  																										+-Applying beta-rule and splitting (45), into two cases.
% 44.32/14.27  																										|-Branch one:
% 44.32/14.27  																										| (546) all_0_80_80 = e2
% 44.32/14.27  																										|
% 44.32/14.27  																											| Equations (546) can reduce 394 to:
% 44.32/14.27  																											| (311) $false
% 44.32/14.27  																											|
% 44.32/14.27  																											|-The branch is then unsatisfiable
% 44.32/14.27  																										|-Branch two:
% 44.32/14.27  																										| (394)  ~ (all_0_80_80 = e2)
% 44.32/14.27  																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.32/14.27  																										|
% 44.32/14.27  																											+-Applying beta-rule and splitting (3232), into two cases.
% 44.32/14.27  																											|-Branch one:
% 44.32/14.27  																											| (824) all_0_80_80 = e1
% 44.32/14.27  																											|
% 44.32/14.27  																												| Equations (824) can reduce 828 to:
% 44.32/14.27  																												| (311) $false
% 44.32/14.27  																												|
% 44.32/14.27  																												|-The branch is then unsatisfiable
% 44.32/14.27  																											|-Branch two:
% 44.32/14.27  																											| (828)  ~ (all_0_80_80 = e1)
% 44.32/14.27  																											| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.32/14.27  																											|
% 44.34/14.27  																												+-Applying beta-rule and splitting (4018), into two cases.
% 44.34/14.27  																												|-Branch one:
% 44.34/14.27  																												| (416) all_0_80_80 = e3
% 44.34/14.27  																												|
% 44.34/14.27  																													| Equations (416) can reduce 2347 to:
% 44.34/14.27  																													| (311) $false
% 44.34/14.27  																													|
% 44.34/14.27  																													|-The branch is then unsatisfiable
% 44.34/14.27  																												|-Branch two:
% 44.34/14.27  																												| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.27  																												| (433) all_0_80_80 = e4
% 44.34/14.27  																												|
% 44.34/14.27  																													| Equations (433) can reduce 49 to:
% 44.34/14.27  																													| (1906)  ~ (all_0_92_92 = e4)
% 44.34/14.27  																													|
% 44.34/14.27  																													| Simplifying 1906 yields:
% 44.34/14.27  																													| (1619)  ~ (all_0_92_92 = e4)
% 44.34/14.27  																													|
% 44.34/14.27  																													| Equations (433) can reduce 2347 to:
% 44.34/14.27  																													| (177)  ~ (e4 = e3)
% 44.34/14.27  																													|
% 44.34/14.27  																													| Equations (433) can reduce 394 to:
% 44.34/14.27  																													| (79)  ~ (e4 = e2)
% 44.34/14.27  																													|
% 44.34/14.27  																													| From (433) and (233) follows:
% 44.34/14.27  																													| (4027) op(e1, e4) = all_0_60_60
% 44.34/14.27  																													|
% 44.34/14.27  																													+-Applying beta-rule and splitting (46), into two cases.
% 44.34/14.27  																													|-Branch one:
% 44.34/14.27  																													| (308) all_0_89_89 = e4
% 44.34/14.27  																													|
% 44.34/14.27  																														| Combining equations (308,292) yields a new equation:
% 44.34/14.27  																														| (309) e4 = e2
% 44.34/14.27  																														|
% 44.34/14.27  																														| Simplifying 309 yields:
% 44.34/14.27  																														| (310) e4 = e2
% 44.34/14.27  																														|
% 44.34/14.27  																														| Equations (310) can reduce 79 to:
% 44.34/14.27  																														| (311) $false
% 44.34/14.27  																														|
% 44.34/14.27  																														|-The branch is then unsatisfiable
% 44.34/14.27  																													|-Branch two:
% 44.34/14.27  																													| (312)  ~ (all_0_89_89 = e4)
% 44.34/14.27  																													| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.34/14.27  																													|
% 44.34/14.27  																														+-Applying beta-rule and splitting (1915), into two cases.
% 44.34/14.27  																														|-Branch one:
% 44.34/14.27  																														| (583) all_0_90_90 = e4
% 44.34/14.27  																														|
% 44.34/14.27  																															| Equations (583) can reduce 467 to:
% 44.34/14.27  																															| (311) $false
% 44.34/14.27  																															|
% 44.34/14.27  																															|-The branch is then unsatisfiable
% 44.34/14.27  																														|-Branch two:
% 44.34/14.27  																														| (467)  ~ (all_0_90_90 = e4)
% 44.34/14.27  																														| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.34/14.27  																														|
% 44.34/14.27  																															+-Applying beta-rule and splitting (1928), into two cases.
% 44.34/14.27  																															|-Branch one:
% 44.34/14.27  																															| (442) all_0_92_92 = e4
% 44.34/14.27  																															|
% 44.34/14.27  																																| Equations (442) can reduce 1619 to:
% 44.34/14.27  																																| (311) $false
% 44.34/14.27  																																|
% 44.34/14.27  																																|-The branch is then unsatisfiable
% 44.34/14.27  																															|-Branch two:
% 44.34/14.27  																															| (1619)  ~ (all_0_92_92 = e4)
% 44.34/14.27  																															| (607) all_0_93_93 = e4
% 44.34/14.27  																															|
% 44.34/14.27  																																| Combining equations (607,8320) yields a new equation:
% 44.34/14.27  																																| (575) all_0_64_64 = e4
% 44.34/14.27  																																|
% 44.34/14.27  																																| Equations (607) can reduce 277 to:
% 44.34/14.27  																																| (634)  ~ (all_0_81_81 = e4)
% 44.34/14.27  																																|
% 44.34/14.27  																																| Equations (607) can reduce 34 to:
% 44.34/14.27  																																| (467)  ~ (all_0_90_90 = e4)
% 44.34/14.27  																																|
% 44.34/14.27  																																| Equations (607) can reduce 283 to:
% 44.34/14.27  																																| (1619)  ~ (all_0_92_92 = e4)
% 44.34/14.27  																																|
% 44.34/14.27  																																| Equations (607) can reduce 300 to:
% 44.34/14.27  																																| (79)  ~ (e4 = e2)
% 44.34/14.27  																																|
% 44.34/14.27  																																| From (607) and (173) follows:
% 44.34/14.27  																																| (1935) op(e0, e4) = all_0_75_75
% 44.34/14.28  																																|
% 44.34/14.28  																																+-Applying beta-rule and splitting (835), into two cases.
% 44.34/14.28  																																|-Branch one:
% 44.34/14.28  																																| (836) all_0_92_92 = e1
% 44.34/14.28  																																|
% 44.34/14.28  																																	| Equations (836) can reduce 265 to:
% 44.34/14.28  																																	| (959)  ~ (all_0_91_91 = e1)
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Equations (836) can reduce 1619 to:
% 44.34/14.28  																																	| (681)  ~ (e4 = e1)
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Simplifying 681 yields:
% 44.34/14.28  																																	| (256)  ~ (e4 = e1)
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Equations (836) can reduce 426 to:
% 44.34/14.28  																																	| (683)  ~ (e3 = e1)
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Simplifying 683 yields:
% 44.34/14.28  																																	| (20)  ~ (e3 = e1)
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 44.34/14.28  																																	| (4076) all_0_60_60 = e2
% 44.34/14.28  																																	|
% 44.34/14.28  																																	| Instantiating formula (262) with e0, e4, all_0_75_75, e4 and discharging atoms op(e0, e4) = all_0_75_75, op(e0, e4) = e4, yields:
% 44.34/14.28  																																	| (1966) all_0_75_75 = e4
% 44.34/14.28  																																	|
% 44.34/14.28  																																	+-Applying beta-rule and splitting (89), into two cases.
% 44.34/14.28  																																	|-Branch one:
% 44.34/14.28  																																	| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.34/14.28  																																	|
% 44.34/14.28  																																		+-Applying beta-rule and splitting (1373), into two cases.
% 44.34/14.28  																																		|-Branch one:
% 44.34/14.28  																																		| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.34/14.28  																																		|
% 44.34/14.28  																																			+-Applying beta-rule and splitting (1374), into two cases.
% 44.34/14.28  																																			|-Branch one:
% 44.34/14.28  																																			| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.34/14.28  																																			|
% 44.34/14.28  																																				| Applying alpha-rule on (1375) yields:
% 44.34/14.28  																																				| (1376) all_0_69_69 = e4
% 44.34/14.28  																																				| (1377)  ~ (all_0_70_70 = e0)
% 44.34/14.28  																																				|
% 44.34/14.28  																																				| From (1376) and (145) follows:
% 44.34/14.28  																																				| (19338) op(e0, all_0_81_81) = e4
% 44.34/14.28  																																				|
% 44.34/14.28  																																				+-Applying beta-rule and splitting (127), into two cases.
% 44.34/14.28  																																				|-Branch one:
% 44.34/14.28  																																				| (457) all_0_79_79 = e1
% 44.34/14.28  																																				|
% 44.34/14.28  																																					+-Applying beta-rule and splitting (106), into two cases.
% 44.34/14.28  																																					|-Branch one:
% 44.34/14.28  																																					| (771) all_0_78_78 = e3
% 44.34/14.28  																																					|
% 44.34/14.28  																																						| Combining equations (400,771) yields a new equation:
% 44.34/14.28  																																						| (548) e3 = e2
% 44.34/14.28  																																						|
% 44.34/14.28  																																						| Equations (548) can reduce 169 to:
% 44.34/14.28  																																						| (311) $false
% 44.34/14.28  																																						|
% 44.34/14.28  																																						|-The branch is then unsatisfiable
% 44.34/14.28  																																					|-Branch two:
% 44.34/14.28  																																					| (418)  ~ (all_0_78_78 = e3)
% 44.34/14.28  																																					| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.34/14.28  																																					|
% 44.34/14.28  																																						+-Applying beta-rule and splitting (1756), into two cases.
% 44.34/14.28  																																						|-Branch one:
% 44.34/14.28  																																						| (1708) all_0_79_79 = e3
% 44.34/14.28  																																						|
% 44.34/14.28  																																							| Combining equations (457,1708) yields a new equation:
% 44.34/14.28  																																							| (772) e3 = e1
% 44.34/14.28  																																							|
% 44.34/14.28  																																							| Equations (772) can reduce 20 to:
% 44.34/14.28  																																							| (311) $false
% 44.34/14.28  																																							|
% 44.34/14.28  																																							|-The branch is then unsatisfiable
% 44.34/14.28  																																						|-Branch two:
% 44.34/14.28  																																						| (1711)  ~ (all_0_79_79 = e3)
% 44.34/14.28  																																						| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.34/14.28  																																						|
% 44.34/14.28  																																							+-Applying beta-rule and splitting (1768), into two cases.
% 44.34/14.28  																																							|-Branch one:
% 44.34/14.28  																																							| (416) all_0_80_80 = e3
% 44.34/14.28  																																							|
% 44.34/14.28  																																								| Combining equations (416,433) yields a new equation:
% 44.34/14.28  																																								| (434) e4 = e3
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Equations (434) can reduce 177 to:
% 44.34/14.28  																																								| (311) $false
% 44.34/14.28  																																								|
% 44.34/14.28  																																								|-The branch is then unsatisfiable
% 44.34/14.28  																																							|-Branch two:
% 44.34/14.28  																																							| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.28  																																							| (635) all_0_81_81 = e3
% 44.34/14.28  																																							|
% 44.34/14.28  																																								| From (635) and (19338) follows:
% 44.34/14.28  																																								| (19344) op(e0, e3) = e4
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Instantiating formula (262) with e0, e3, e4, all_0_95_95 and discharging atoms op(e0, e3) = all_0_95_95, op(e0, e3) = e4, yields:
% 44.34/14.28  																																								| (894) all_0_95_95 = e4
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Equations (894) can reduce 315 to:
% 44.34/14.28  																																								| (311) $false
% 44.34/14.28  																																								|
% 44.34/14.28  																																								|-The branch is then unsatisfiable
% 44.34/14.28  																																				|-Branch two:
% 44.34/14.28  																																				| (461)  ~ (all_0_79_79 = e1)
% 44.34/14.28  																																				| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.34/14.28  																																				|
% 44.34/14.28  																																					+-Applying beta-rule and splitting (1623), into two cases.
% 44.34/14.28  																																					|-Branch one:
% 44.34/14.28  																																					| (457) all_0_79_79 = e1
% 44.34/14.28  																																					|
% 44.34/14.28  																																						| Equations (457) can reduce 461 to:
% 44.34/14.28  																																						| (311) $false
% 44.34/14.28  																																						|
% 44.34/14.28  																																						|-The branch is then unsatisfiable
% 44.34/14.28  																																					|-Branch two:
% 44.34/14.28  																																					| (461)  ~ (all_0_79_79 = e1)
% 44.34/14.28  																																					| (1708) all_0_79_79 = e3
% 44.34/14.28  																																					|
% 44.34/14.28  																																						| Equations (1708) can reduce 15 to:
% 44.34/14.28  																																						| (419)  ~ (all_0_81_81 = e3)
% 44.34/14.28  																																						|
% 44.34/14.28  																																						| Simplifying 419 yields:
% 44.34/14.28  																																						| (420)  ~ (all_0_81_81 = e3)
% 44.34/14.28  																																						|
% 44.34/14.28  																																						| Equations (1708) can reduce 9 to:
% 44.34/14.28  																																						| (50)  ~ (e3 = e0)
% 44.34/14.28  																																						|
% 44.34/14.28  																																						+-Applying beta-rule and splitting (123), into two cases.
% 44.34/14.28  																																						|-Branch one:
% 44.34/14.28  																																						| (473) all_0_81_81 = e2
% 44.34/14.28  																																						|
% 44.34/14.28  																																							| Equations (473) can reduce 396 to:
% 44.34/14.28  																																							| (311) $false
% 44.34/14.28  																																							|
% 44.34/14.28  																																							|-The branch is then unsatisfiable
% 44.34/14.28  																																						|-Branch two:
% 44.34/14.28  																																						| (396)  ~ (all_0_81_81 = e2)
% 44.34/14.28  																																						| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.34/14.28  																																						|
% 44.34/14.28  																																							+-Applying beta-rule and splitting (282), into two cases.
% 44.34/14.28  																																							|-Branch one:
% 44.34/14.28  																																							| (754) all_0_90_90 = e3
% 44.34/14.28  																																							|
% 44.34/14.28  																																								| Equations (754) can reduce 103 to:
% 44.34/14.28  																																								| (1298)  ~ (all_0_91_91 = e3)
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Simplifying 1298 yields:
% 44.34/14.28  																																								| (571)  ~ (all_0_91_91 = e3)
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Equations (754) can reduce 467 to:
% 44.34/14.28  																																								| (783)  ~ (e4 = e3)
% 44.34/14.28  																																								|
% 44.34/14.28  																																								| Simplifying 783 yields:
% 44.34/14.28  																																								| (177)  ~ (e4 = e3)
% 44.34/14.28  																																								|
% 44.34/14.28  																																								+-Applying beta-rule and splitting (284), into two cases.
% 44.34/14.28  																																								|-Branch one:
% 44.34/14.28  																																								| (1723) all_0_91_91 = e2
% 44.34/14.28  																																								|
% 44.34/14.28  																																									| Equations (1723) can reduce 296 to:
% 44.34/14.28  																																									| (311) $false
% 44.34/14.28  																																									|
% 44.34/14.28  																																									|-The branch is then unsatisfiable
% 44.34/14.28  																																								|-Branch two:
% 44.34/14.28  																																								| (296)  ~ (all_0_91_91 = e2)
% 44.34/14.28  																																								| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.34/14.28  																																								|
% 44.34/14.28  																																									+-Applying beta-rule and splitting (99), into two cases.
% 44.34/14.28  																																									|-Branch one:
% 44.34/14.28  																																									| (767) all_0_95_95 = e2
% 44.34/14.28  																																									|
% 44.34/14.28  																																										| Equations (767) can reduce 355 to:
% 44.34/14.28  																																										| (311) $false
% 44.34/14.28  																																										|
% 44.34/14.28  																																										|-The branch is then unsatisfiable
% 44.34/14.28  																																									|-Branch two:
% 44.34/14.28  																																									| (355)  ~ (all_0_95_95 = e2)
% 44.34/14.28  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 44.34/14.28  																																									|
% 44.34/14.28  																																										+-Applying beta-rule and splitting (250), into two cases.
% 44.34/14.28  																																										|-Branch one:
% 44.34/14.28  																																										| (635) all_0_81_81 = e3
% 44.34/14.28  																																										|
% 44.34/14.28  																																											| Equations (635) can reduce 420 to:
% 44.34/14.28  																																											| (311) $false
% 44.34/14.28  																																											|
% 44.34/14.28  																																											|-The branch is then unsatisfiable
% 44.34/14.28  																																										|-Branch two:
% 44.34/14.28  																																										| (420)  ~ (all_0_81_81 = e3)
% 44.34/14.28  																																										| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.34/14.28  																																										|
% 44.34/14.28  																																											+-Applying beta-rule and splitting (4488), into two cases.
% 44.34/14.28  																																											|-Branch one:
% 44.34/14.28  																																											| (804) all_0_85_85 = e3
% 44.34/14.28  																																											|
% 44.34/14.28  																																												| Combining equations (954,804) yields a new equation:
% 44.34/14.28  																																												| (600) e3 = e0
% 44.34/14.28  																																												|
% 44.34/14.28  																																												| Equations (600) can reduce 50 to:
% 44.34/14.28  																																												| (311) $false
% 44.34/14.28  																																												|
% 44.34/14.28  																																												|-The branch is then unsatisfiable
% 44.34/14.28  																																											|-Branch two:
% 44.34/14.28  																																											| (952)  ~ (all_0_85_85 = e3)
% 44.34/14.28  																																											| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.34/14.28  																																											|
% 44.34/14.28  																																												+-Applying beta-rule and splitting (4559), into two cases.
% 44.34/14.28  																																												|-Branch one:
% 44.34/14.28  																																												| (570) all_0_93_93 = e3
% 44.34/14.28  																																												|
% 44.34/14.28  																																													| Combining equations (607,570) yields a new equation:
% 44.34/14.28  																																													| (790) e4 = e3
% 44.34/14.28  																																													|
% 44.34/14.28  																																													| Simplifying 790 yields:
% 44.34/14.28  																																													| (434) e4 = e3
% 44.34/14.28  																																													|
% 44.34/14.28  																																													| Equations (434) can reduce 177 to:
% 44.34/14.28  																																													| (311) $false
% 44.34/14.28  																																													|
% 44.34/14.28  																																													|-The branch is then unsatisfiable
% 44.34/14.28  																																												|-Branch two:
% 44.34/14.28  																																												| (602)  ~ (all_0_93_93 = e3)
% 44.34/14.28  																																												| (969) all_0_98_98 = e3
% 44.34/14.28  																																												|
% 44.34/14.28  																																													| Equations (969) can reduce 5 to:
% 44.34/14.28  																																													| (420)  ~ (all_0_81_81 = e3)
% 44.34/14.28  																																													|
% 44.34/14.28  																																													| Equations (969) can reduce 2059 to:
% 44.34/14.28  																																													| (50)  ~ (e3 = e0)
% 44.34/14.28  																																													|
% 44.34/14.28  																																													+-Applying beta-rule and splitting (108), into two cases.
% 44.34/14.28  																																													|-Branch one:
% 44.34/14.28  																																													| (477) all_0_81_81 = e1
% 44.34/14.28  																																													|
% 44.34/14.28  																																														| Equations (477) can reduce 420 to:
% 44.34/14.28  																																														| (683)  ~ (e3 = e1)
% 44.34/14.28  																																														|
% 44.34/14.28  																																														| Simplifying 683 yields:
% 44.34/14.28  																																														| (20)  ~ (e3 = e1)
% 44.34/14.28  																																														|
% 44.34/14.28  																																														| Equations (477) can reduce 396 to:
% 44.34/14.28  																																														| (487)  ~ (e2 = e1)
% 44.34/14.28  																																														|
% 44.34/14.28  																																														| Simplifying 487 yields:
% 44.34/14.28  																																														| (243)  ~ (e2 = e1)
% 44.34/14.28  																																														|
% 44.34/14.28  																																														| Equations (477) can reduce 257 to:
% 44.34/14.28  																																														| (264)  ~ (e1 = e0)
% 44.34/14.28  																																														|
% 44.34/14.28  																																														| From (477) and (19338) follows:
% 44.34/14.28  																																														| (20306) op(e0, e1) = e4
% 44.34/14.28  																																														|
% 44.34/14.28  																																														+-Applying beta-rule and splitting (291), into two cases.
% 44.34/14.28  																																														|-Branch one:
% 44.34/14.28  																																														| (758) all_0_90_90 = e0
% 44.34/14.28  																																														|
% 44.34/14.28  																																															| Combining equations (758,754) yields a new equation:
% 44.34/14.28  																																															| (600) e3 = e0
% 44.34/14.28  																																															|
% 44.34/14.28  																																															| Equations (600) can reduce 50 to:
% 44.34/14.28  																																															| (311) $false
% 44.34/14.28  																																															|
% 44.34/14.28  																																															|-The branch is then unsatisfiable
% 44.34/14.28  																																														|-Branch two:
% 44.34/14.28  																																														| (762)  ~ (all_0_90_90 = e0)
% 44.34/14.28  																																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.34/14.28  																																														|
% 44.34/14.28  																																															+-Applying beta-rule and splitting (770), into two cases.
% 44.34/14.28  																																															|-Branch one:
% 44.34/14.28  																																															| (785) all_0_95_95 = e1
% 44.34/14.28  																																															|
% 44.34/14.28  																																																| Equations (785) can reduce 680 to:
% 44.34/14.28  																																																| (311) $false
% 44.34/14.28  																																																|
% 44.34/14.28  																																																|-The branch is then unsatisfiable
% 44.34/14.28  																																															|-Branch two:
% 44.34/14.28  																																															| (680)  ~ (all_0_95_95 = e1)
% 44.34/14.28  																																															| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 44.34/14.28  																																															|
% 44.34/14.28  																																																+-Applying beta-rule and splitting (1455), into two cases.
% 44.34/14.28  																																																|-Branch one:
% 44.34/14.28  																																																| (1456) all_0_91_91 = e0
% 44.34/14.28  																																																|
% 44.34/14.28  																																																	| Equations (1456) can reduce 64 to:
% 44.34/14.28  																																																	| (2296)  ~ (all_0_96_96 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Simplifying 2296 yields:
% 44.34/14.28  																																																	| (2095)  ~ (all_0_96_96 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Equations (1456) can reduce 571 to:
% 44.34/14.28  																																																	| (906)  ~ (e3 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Simplifying 906 yields:
% 44.34/14.28  																																																	| (50)  ~ (e3 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Equations (1456) can reduce 296 to:
% 44.34/14.28  																																																	| (510)  ~ (e2 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Simplifying 510 yields:
% 44.34/14.28  																																																	| (76)  ~ (e2 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Equations (1456) can reduce 959 to:
% 44.34/14.28  																																																	| (859)  ~ (e1 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	| Simplifying 859 yields:
% 44.34/14.28  																																																	| (264)  ~ (e1 = e0)
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																	+-Applying beta-rule and splitting (102), into two cases.
% 44.34/14.28  																																																	|-Branch one:
% 44.34/14.28  																																																	| (858) all_0_95_95 = e0
% 44.34/14.28  																																																	|
% 44.34/14.28  																																																		| Equations (858) can reduce 680 to:
% 44.34/14.28  																																																		| (859)  ~ (e1 = e0)
% 44.34/14.28  																																																		|
% 44.34/14.28  																																																		| Simplifying 859 yields:
% 44.34/14.28  																																																		| (264)  ~ (e1 = e0)
% 44.34/14.28  																																																		|
% 44.34/14.28  																																																		+-Applying beta-rule and splitting (176), into two cases.
% 44.34/14.28  																																																		|-Branch one:
% 44.34/14.28  																																																		| (785) all_0_95_95 = e1
% 44.34/14.28  																																																		|
% 44.34/14.28  																																																			| Combining equations (858,785) yields a new equation:
% 44.34/14.28  																																																			| (865) e1 = e0
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																			| Equations (865) can reduce 264 to:
% 44.34/14.28  																																																			| (311) $false
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																			|-The branch is then unsatisfiable
% 44.34/14.28  																																																		|-Branch two:
% 44.34/14.28  																																																		| (680)  ~ (all_0_95_95 = e1)
% 44.34/14.28  																																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.34/14.28  																																																		|
% 44.34/14.28  																																																			| Equations (858) can reduce 680 to:
% 44.34/14.28  																																																			| (859)  ~ (e1 = e0)
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																			| Simplifying 859 yields:
% 44.34/14.28  																																																			| (264)  ~ (e1 = e0)
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																			+-Applying beta-rule and splitting (462), into two cases.
% 44.34/14.28  																																																			|-Branch one:
% 44.34/14.28  																																																			| (801) all_0_91_91 = e1
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																				| Combining equations (1456,801) yields a new equation:
% 44.34/14.28  																																																				| (865) e1 = e0
% 44.34/14.28  																																																				|
% 44.34/14.28  																																																				| Equations (865) can reduce 264 to:
% 44.34/14.28  																																																				| (311) $false
% 44.34/14.28  																																																				|
% 44.34/14.28  																																																				|-The branch is then unsatisfiable
% 44.34/14.28  																																																			|-Branch two:
% 44.34/14.28  																																																			| (959)  ~ (all_0_91_91 = e1)
% 44.34/14.28  																																																			| (960) all_0_96_96 = e1
% 44.34/14.28  																																																			|
% 44.34/14.28  																																																				| From (960) and (268) follows:
% 44.34/14.28  																																																				| (19923) op(e0, e1) = all_0_59_59
% 44.34/14.28  																																																				|
% 44.34/14.28  																																																				| Instantiating formula (262) with e0, e1, all_0_59_59, e2 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e2, yields:
% 44.34/14.29  																																																				| (5799) all_0_59_59 = e2
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Instantiating formula (262) with e0, e1, e4, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e4, yields:
% 44.34/14.29  																																																				| (20342) all_0_59_59 = e4
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Combining equations (5799,20342) yields a new equation:
% 44.34/14.29  																																																				| (310) e4 = e2
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Equations (310) can reduce 79 to:
% 44.34/14.29  																																																				| (311) $false
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				|-The branch is then unsatisfiable
% 44.34/14.29  																																																	|-Branch two:
% 44.34/14.29  																																																	| (893)  ~ (all_0_95_95 = e0)
% 44.34/14.29  																																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.34/14.29  																																																	|
% 44.34/14.29  																																																		+-Applying beta-rule and splitting (462), into two cases.
% 44.34/14.29  																																																		|-Branch one:
% 44.34/14.29  																																																		| (801) all_0_91_91 = e1
% 44.34/14.29  																																																		|
% 44.34/14.29  																																																			| Combining equations (1456,801) yields a new equation:
% 44.34/14.29  																																																			| (865) e1 = e0
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																			| Equations (865) can reduce 264 to:
% 44.34/14.29  																																																			| (311) $false
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																			|-The branch is then unsatisfiable
% 44.34/14.29  																																																		|-Branch two:
% 44.34/14.29  																																																		| (959)  ~ (all_0_91_91 = e1)
% 44.34/14.29  																																																		| (960) all_0_96_96 = e1
% 44.34/14.29  																																																		|
% 44.34/14.29  																																																			| Equations (960) can reduce 2095 to:
% 44.34/14.29  																																																			| (264)  ~ (e1 = e0)
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																			+-Applying beta-rule and splitting (1921), into two cases.
% 44.34/14.29  																																																			|-Branch one:
% 44.34/14.29  																																																			| (1837) all_0_96_96 = e0
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																				| Combining equations (960,1837) yields a new equation:
% 44.34/14.29  																																																				| (1107) e1 = e0
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Simplifying 1107 yields:
% 44.34/14.29  																																																				| (865) e1 = e0
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Equations (865) can reduce 264 to:
% 44.34/14.29  																																																				| (311) $false
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				|-The branch is then unsatisfiable
% 44.34/14.29  																																																			|-Branch two:
% 44.34/14.29  																																																			| (2095)  ~ (all_0_96_96 = e0)
% 44.34/14.29  																																																			| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																				+-Applying beta-rule and splitting (2096), into two cases.
% 44.34/14.29  																																																				|-Branch one:
% 44.34/14.29  																																																				| (560) all_0_97_97 = e0
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																					| Combining equations (538,560) yields a new equation:
% 44.34/14.29  																																																					| (923) e2 = e0
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Simplifying 923 yields:
% 44.34/14.29  																																																					| (379) e2 = e0
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Equations (379) can reduce 76 to:
% 44.34/14.29  																																																					| (311) $false
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					|-The branch is then unsatisfiable
% 44.34/14.29  																																																				|-Branch two:
% 44.34/14.29  																																																				| (609)  ~ (all_0_97_97 = e0)
% 44.34/14.29  																																																				| (1121) all_0_98_98 = e0
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																					| Combining equations (1121,969) yields a new equation:
% 44.34/14.29  																																																					| (600) e3 = e0
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Equations (600) can reduce 50 to:
% 44.34/14.29  																																																					| (311) $false
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					|-The branch is then unsatisfiable
% 44.34/14.29  																																																|-Branch two:
% 44.34/14.29  																																																| (1487)  ~ (all_0_91_91 = e0)
% 44.34/14.29  																																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.34/14.29  																																																|
% 44.34/14.29  																																																	+-Applying beta-rule and splitting (176), into two cases.
% 44.34/14.29  																																																	|-Branch one:
% 44.34/14.29  																																																	| (785) all_0_95_95 = e1
% 44.34/14.29  																																																	|
% 44.34/14.29  																																																		| Equations (785) can reduce 680 to:
% 44.34/14.29  																																																		| (311) $false
% 44.34/14.29  																																																		|
% 44.34/14.29  																																																		|-The branch is then unsatisfiable
% 44.34/14.29  																																																	|-Branch two:
% 44.34/14.29  																																																	| (680)  ~ (all_0_95_95 = e1)
% 44.34/14.29  																																																	| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.34/14.29  																																																	|
% 44.34/14.29  																																																		+-Applying beta-rule and splitting (1400), into two cases.
% 44.34/14.29  																																																		|-Branch one:
% 44.34/14.29  																																																		| (1456) all_0_91_91 = e0
% 44.34/14.29  																																																		|
% 44.34/14.29  																																																			| Equations (1456) can reduce 1487 to:
% 44.34/14.29  																																																			| (311) $false
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																			|-The branch is then unsatisfiable
% 44.34/14.29  																																																		|-Branch two:
% 44.34/14.29  																																																		| (1487)  ~ (all_0_91_91 = e0)
% 44.34/14.29  																																																		| (1837) all_0_96_96 = e0
% 44.34/14.29  																																																		|
% 44.34/14.29  																																																			+-Applying beta-rule and splitting (788), into two cases.
% 44.34/14.29  																																																			|-Branch one:
% 44.34/14.29  																																																			| (960) all_0_96_96 = e1
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																				| Combining equations (1837,960) yields a new equation:
% 44.34/14.29  																																																				| (865) e1 = e0
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				| Equations (865) can reduce 264 to:
% 44.34/14.29  																																																				| (311) $false
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																				|-The branch is then unsatisfiable
% 44.34/14.29  																																																			|-Branch two:
% 44.34/14.29  																																																			| (1479)  ~ (all_0_96_96 = e1)
% 44.34/14.29  																																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.34/14.29  																																																			|
% 44.34/14.29  																																																				+-Applying beta-rule and splitting (2126), into two cases.
% 44.34/14.29  																																																				|-Branch one:
% 44.34/14.29  																																																				| (542) all_0_97_97 = e1
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																					| Combining equations (538,542) yields a new equation:
% 44.34/14.29  																																																					| (408) e2 = e1
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Simplifying 408 yields:
% 44.34/14.29  																																																					| (385) e2 = e1
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Equations (385) can reduce 243 to:
% 44.34/14.29  																																																					| (311) $false
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					|-The branch is then unsatisfiable
% 44.34/14.29  																																																				|-Branch two:
% 44.34/14.29  																																																				| (486)  ~ (all_0_97_97 = e1)
% 44.34/14.29  																																																				| (1543) all_0_98_98 = e1
% 44.34/14.29  																																																				|
% 44.34/14.29  																																																					| Combining equations (1543,969) yields a new equation:
% 44.34/14.29  																																																					| (772) e3 = e1
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					| Equations (772) can reduce 20 to:
% 44.34/14.29  																																																					| (311) $false
% 44.34/14.29  																																																					|
% 44.34/14.29  																																																					|-The branch is then unsatisfiable
% 44.34/14.29  																																													|-Branch two:
% 44.34/14.29  																																													| (628)  ~ (all_0_81_81 = e1)
% 44.34/14.29  																																													| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.34/14.29  																																													|
% 44.34/14.29  																																														+-Applying beta-rule and splitting (476), into two cases.
% 44.34/14.29  																																														|-Branch one:
% 44.34/14.29  																																														| (477) all_0_81_81 = e1
% 44.34/14.29  																																														|
% 44.34/14.29  																																															| Equations (477) can reduce 628 to:
% 44.34/14.29  																																															| (311) $false
% 44.34/14.29  																																															|
% 44.34/14.29  																																															|-The branch is then unsatisfiable
% 44.34/14.29  																																														|-Branch two:
% 44.34/14.29  																																														| (628)  ~ (all_0_81_81 = e1)
% 44.34/14.29  																																														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 44.34/14.29  																																														|
% 44.34/14.29  																																															+-Applying beta-rule and splitting (629), into two cases.
% 44.34/14.29  																																															|-Branch one:
% 44.34/14.29  																																															| (635) all_0_81_81 = e3
% 44.34/14.29  																																															|
% 44.34/14.29  																																																| Equations (635) can reduce 420 to:
% 44.34/14.29  																																																| (311) $false
% 44.34/14.29  																																																|
% 44.34/14.29  																																																|-The branch is then unsatisfiable
% 44.34/14.29  																																															|-Branch two:
% 44.34/14.29  																																															| (420)  ~ (all_0_81_81 = e3)
% 44.34/14.29  																																															| (638) all_0_81_81 = e4
% 44.34/14.29  																																															|
% 44.34/14.29  																																																| Equations (638) can reduce 634 to:
% 44.34/14.29  																																																| (311) $false
% 44.34/14.29  																																																|
% 44.34/14.29  																																																|-The branch is then unsatisfiable
% 44.34/14.29  																																							|-Branch two:
% 44.34/14.29  																																							| (745)  ~ (all_0_90_90 = e3)
% 44.34/14.29  																																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.34/14.29  																																							|
% 44.34/14.29  																																								+-Applying beta-rule and splitting (462), into two cases.
% 44.34/14.29  																																								|-Branch one:
% 44.34/14.29  																																								| (801) all_0_91_91 = e1
% 44.34/14.29  																																								|
% 44.34/14.29  																																									| Equations (801) can reduce 959 to:
% 44.34/14.29  																																									| (311) $false
% 44.34/14.29  																																									|
% 44.34/14.29  																																									|-The branch is then unsatisfiable
% 44.34/14.29  																																								|-Branch two:
% 44.34/14.29  																																								| (959)  ~ (all_0_91_91 = e1)
% 44.34/14.29  																																								| (960) all_0_96_96 = e1
% 44.34/14.29  																																								|
% 44.34/14.29  																																									| Combining equations (960,1368) yields a new equation:
% 44.34/14.29  																																									| (1419) all_0_68_68 = e1
% 44.34/14.29  																																									|
% 44.34/14.29  																																									+-Applying beta-rule and splitting (276), into two cases.
% 44.34/14.29  																																									|-Branch one:
% 44.34/14.29  																																									| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.34/14.29  																																									|
% 44.34/14.29  																																										+-Applying beta-rule and splitting (577), into two cases.
% 44.34/14.29  																																										|-Branch one:
% 44.34/14.29  																																										| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.34/14.29  																																										|
% 44.34/14.29  																																											+-Applying beta-rule and splitting (578), into two cases.
% 44.34/14.29  																																											|-Branch one:
% 44.34/14.29  																																											| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.34/14.29  																																											|
% 44.34/14.29  																																												| Applying alpha-rule on (579) yields:
% 44.34/14.29  																																												| (580) all_0_60_60 = e4
% 44.34/14.29  																																												| (581)  ~ (all_0_61_61 = e1)
% 44.34/14.29  																																												|
% 44.34/14.29  																																												| Combining equations (580,4076) yields a new equation:
% 44.34/14.29  																																												| (309) e4 = e2
% 44.34/14.29  																																												|
% 44.34/14.29  																																												| Simplifying 309 yields:
% 44.34/14.29  																																												| (310) e4 = e2
% 44.34/14.29  																																												|
% 44.34/14.29  																																												| Equations (310) can reduce 79 to:
% 44.34/14.29  																																												| (311) $false
% 44.34/14.29  																																												|
% 44.34/14.29  																																												|-The branch is then unsatisfiable
% 44.34/14.29  																																											|-Branch two:
% 44.34/14.29  																																											| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.34/14.29  																																											|
% 44.34/14.29  																																												| Applying alpha-rule on (585) yields:
% 44.34/14.29  																																												| (586) all_0_62_62 = e3
% 44.34/14.29  																																												| (587)  ~ (all_0_63_63 = e1)
% 44.34/14.29  																																												|
% 44.34/14.29  																																												| Combining equations (586,20001) yields a new equation:
% 44.34/14.29  																																												| (754) all_0_90_90 = e3
% 44.34/14.29  																																												|
% 44.34/14.29  																																												| Equations (754) can reduce 745 to:
% 44.34/14.29  																																												| (311) $false
% 44.34/14.29  																																												|
% 44.34/14.29  																																												|-The branch is then unsatisfiable
% 44.34/14.29  																																										|-Branch two:
% 44.34/14.29  																																										| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.34/14.29  																																										|
% 44.34/14.29  																																											| Applying alpha-rule on (590) yields:
% 44.34/14.29  																																											| (591) all_0_64_64 = e2
% 44.34/14.29  																																											| (592)  ~ (all_0_65_65 = e1)
% 44.34/14.29  																																											|
% 44.34/14.29  																																											| Combining equations (591,575) yields a new equation:
% 44.34/14.29  																																											| (310) e4 = e2
% 44.34/14.29  																																											|
% 44.34/14.29  																																											| Equations (310) can reduce 79 to:
% 44.34/14.29  																																											| (311) $false
% 44.34/14.29  																																											|
% 44.34/14.29  																																											|-The branch is then unsatisfiable
% 44.34/14.29  																																									|-Branch two:
% 44.34/14.29  																																									| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.34/14.29  																																									|
% 44.34/14.29  																																										| Applying alpha-rule on (596) yields:
% 44.34/14.29  																																										| (597) all_0_67_67 = e0
% 44.34/14.29  																																										| (598)  ~ (all_0_68_68 = e1)
% 44.34/14.29  																																										|
% 44.34/14.29  																																										| Equations (1419) can reduce 598 to:
% 44.34/14.29  																																										| (311) $false
% 44.34/14.29  																																										|
% 44.34/14.29  																																										|-The branch is then unsatisfiable
% 44.34/14.29  																																			|-Branch two:
% 44.34/14.29  																																			| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.34/14.29  																																			|
% 44.34/14.29  																																				| Applying alpha-rule on (1379) yields:
% 44.34/14.29  																																				| (1380) all_0_71_71 = e3
% 44.34/14.29  																																				| (1381)  ~ (all_0_72_72 = e0)
% 44.34/14.29  																																				|
% 44.34/14.29  																																				| Equations (10076) can reduce 1381 to:
% 44.34/14.29  																																				| (311) $false
% 44.34/14.29  																																				|
% 44.34/14.29  																																				|-The branch is then unsatisfiable
% 44.34/14.29  																																		|-Branch two:
% 44.34/14.29  																																		| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.34/14.29  																																		|
% 44.34/14.29  																																			| Applying alpha-rule on (1385) yields:
% 44.34/14.29  																																			| (1386) all_0_73_73 = e2
% 44.34/14.29  																																			| (1387)  ~ (all_0_74_74 = e0)
% 44.34/14.29  																																			|
% 44.34/14.29  																																			| Combining equations (18823,1386) yields a new equation:
% 44.34/14.29  																																			| (20047) all_0_96_96 = e2
% 44.34/14.29  																																			|
% 44.34/14.29  																																			| Simplifying 20047 yields:
% 44.34/14.30  																																			| (1704) all_0_96_96 = e2
% 44.34/14.30  																																			|
% 44.34/14.30  																																			| Equations (1704) can reduce 1638 to:
% 44.34/14.30  																																			| (311) $false
% 44.34/14.30  																																			|
% 44.34/14.30  																																			|-The branch is then unsatisfiable
% 44.34/14.30  																																	|-Branch two:
% 44.34/14.30  																																	| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.34/14.30  																																	|
% 44.34/14.30  																																		| Applying alpha-rule on (1391) yields:
% 44.34/14.30  																																		| (1392) all_0_75_75 = e1
% 44.34/14.30  																																		| (1393)  ~ (all_0_76_76 = e0)
% 44.34/14.30  																																		|
% 44.34/14.30  																																		| Combining equations (1966,1392) yields a new equation:
% 44.34/14.30  																																		| (813) e4 = e1
% 44.34/14.30  																																		|
% 44.34/14.30  																																		| Simplifying 813 yields:
% 44.34/14.30  																																		| (814) e4 = e1
% 44.34/14.30  																																		|
% 44.34/14.30  																																		| Equations (814) can reduce 256 to:
% 44.34/14.30  																																		| (311) $false
% 44.34/14.30  																																		|
% 44.34/14.30  																																		|-The branch is then unsatisfiable
% 44.34/14.30  																																|-Branch two:
% 44.34/14.30  																																| (840)  ~ (all_0_92_92 = e1)
% 44.34/14.30  																																| (542) all_0_97_97 = e1
% 44.34/14.30  																																|
% 44.34/14.30  																																	| Combining equations (538,542) yields a new equation:
% 44.34/14.30  																																	| (408) e2 = e1
% 44.34/14.30  																																	|
% 44.34/14.30  																																	| Simplifying 408 yields:
% 44.34/14.30  																																	| (385) e2 = e1
% 44.34/14.30  																																	|
% 44.34/14.30  																																	| Equations (385) can reduce 243 to:
% 44.34/14.30  																																	| (311) $false
% 44.34/14.30  																																	|
% 44.34/14.30  																																	|-The branch is then unsatisfiable
% 44.34/14.30  																							|-Branch two:
% 44.34/14.30  																							| (422)  ~ (all_0_84_84 = e3)
% 44.34/14.30  																							| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.34/14.30  																							|
% 44.34/14.30  																								+-Applying beta-rule and splitting (1268), into two cases.
% 44.34/14.30  																								|-Branch one:
% 44.34/14.30  																								| (916) all_0_84_84 = e0
% 44.34/14.30  																								|
% 44.34/14.30  																									| Equations (916) can reduce 919 to:
% 44.34/14.30  																									| (311) $false
% 44.34/14.30  																									|
% 44.34/14.30  																									|-The branch is then unsatisfiable
% 44.34/14.30  																								|-Branch two:
% 44.34/14.30  																								| (919)  ~ (all_0_84_84 = e0)
% 44.34/14.30  																								| (438) all_0_84_84 = e4
% 44.34/14.30  																								|
% 44.34/14.30  																									| Equations (438) can reduce 417 to:
% 44.34/14.30  																									| (311) $false
% 44.34/14.30  																									|
% 44.34/14.30  																									|-The branch is then unsatisfiable
% 44.34/14.30  																					|-Branch two:
% 44.34/14.30  																					| (465)  ~ (all_0_82_82 = e4)
% 44.34/14.30  																					| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.34/14.30  																					|
% 44.34/14.30  																						+-Applying beta-rule and splitting (10), into two cases.
% 44.34/14.30  																						|-Branch one:
% 44.34/14.30  																						| (530) all_0_82_82 = e2
% 44.34/14.30  																						|
% 44.34/14.30  																							| Equations (530) can reduce 347 to:
% 44.34/14.30  																							| (311) $false
% 44.34/14.30  																							|
% 44.34/14.30  																							|-The branch is then unsatisfiable
% 44.34/14.30  																						|-Branch two:
% 44.34/14.30  																						| (347)  ~ (all_0_82_82 = e2)
% 44.34/14.30  																						| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.34/14.30  																						|
% 44.34/14.30  																							+-Applying beta-rule and splitting (4), into two cases.
% 44.34/14.30  																							|-Branch one:
% 44.34/14.30  																							| (463) all_0_78_78 = e4
% 44.34/14.30  																							|
% 44.34/14.30  																								| Combining equations (400,463) yields a new equation:
% 44.34/14.30  																								| (310) e4 = e2
% 44.34/14.30  																								|
% 44.34/14.30  																								| Equations (310) can reduce 79 to:
% 44.34/14.30  																								| (311) $false
% 44.34/14.30  																								|
% 44.34/14.30  																								|-The branch is then unsatisfiable
% 44.34/14.30  																							|-Branch two:
% 44.34/14.30  																							| (640)  ~ (all_0_78_78 = e4)
% 44.34/14.30  																							| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.34/14.30  																							|
% 44.34/14.30  																								+-Applying beta-rule and splitting (472), into two cases.
% 44.34/14.30  																								|-Branch one:
% 44.34/14.30  																								| (438) all_0_84_84 = e4
% 44.34/14.30  																								|
% 44.34/14.30  																									| Equations (438) can reduce 273 to:
% 44.34/14.30  																									| (436)  ~ (all_0_80_80 = e4)
% 44.34/14.30  																									|
% 44.34/14.30  																									| Equations (438) can reduce 7 to:
% 44.34/14.30  																									| (465)  ~ (all_0_82_82 = e4)
% 44.34/14.30  																									|
% 44.34/14.30  																									+-Applying beta-rule and splitting (2205), into two cases.
% 44.34/14.30  																									|-Branch one:
% 44.34/14.30  																									| (789) all_0_82_82 = e3
% 44.34/14.30  																									|
% 44.34/14.30  																										| Equations (789) can reduce 255 to:
% 44.34/14.30  																										| (1815)  ~ (all_0_90_90 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Simplifying 1815 yields:
% 44.34/14.30  																										| (745)  ~ (all_0_90_90 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Equations (789) can reduce 200 to:
% 44.34/14.30  																										| (1070)  ~ (all_0_95_95 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Simplifying 1070 yields:
% 44.34/14.30  																										| (765)  ~ (all_0_95_95 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Equations (789) can reduce 465 to:
% 44.34/14.30  																										| (783)  ~ (e4 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Simplifying 783 yields:
% 44.34/14.30  																										| (177)  ~ (e4 = e3)
% 44.34/14.30  																										|
% 44.34/14.30  																										| Equations (789) can reduce 347 to:
% 44.34/14.30  																										| (169)  ~ (e3 = e2)
% 44.34/14.30  																										|
% 44.34/14.30  																										+-Applying beta-rule and splitting (3625), into two cases.
% 44.34/14.30  																										|-Branch one:
% 44.34/14.30  																										| (469) all_0_82_82 = e4
% 44.34/14.30  																										|
% 44.34/14.30  																											| Combining equations (789,469) yields a new equation:
% 44.34/14.30  																											| (434) e4 = e3
% 44.34/14.30  																											|
% 44.34/14.30  																											| Equations (434) can reduce 177 to:
% 44.34/14.30  																											| (311) $false
% 44.34/14.30  																											|
% 44.34/14.30  																											|-The branch is then unsatisfiable
% 44.34/14.30  																										|-Branch two:
% 44.34/14.30  																										| (465)  ~ (all_0_82_82 = e4)
% 44.34/14.30  																										| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.34/14.30  																										|
% 44.34/14.30  																											+-Applying beta-rule and splitting (641), into two cases.
% 44.34/14.30  																											|-Branch one:
% 44.34/14.30  																											| (433) all_0_80_80 = e4
% 44.34/14.30  																											|
% 44.34/14.30  																												| Equations (433) can reduce 436 to:
% 44.34/14.30  																												| (311) $false
% 44.34/14.30  																												|
% 44.34/14.30  																												|-The branch is then unsatisfiable
% 44.34/14.30  																											|-Branch two:
% 44.34/14.30  																											| (436)  ~ (all_0_80_80 = e4)
% 44.34/14.30  																											| (638) all_0_81_81 = e4
% 44.34/14.30  																											|
% 44.34/14.30  																												| Equations (638) can reduce 144 to:
% 44.34/14.30  																												| (436)  ~ (all_0_80_80 = e4)
% 44.34/14.30  																												|
% 44.34/14.30  																												| Equations (638) can reduce 396 to:
% 44.34/14.30  																												| (79)  ~ (e4 = e2)
% 44.34/14.30  																												|
% 44.34/14.30  																												| From (638) and (68) follows:
% 44.34/14.30  																												| (657) op(e4, e4) = all_0_70_70
% 44.34/14.30  																												|
% 44.34/14.30  																												+-Applying beta-rule and splitting (99), into two cases.
% 44.34/14.30  																												|-Branch one:
% 44.34/14.30  																												| (767) all_0_95_95 = e2
% 44.34/14.30  																												|
% 44.34/14.30  																													| Equations (767) can reduce 355 to:
% 44.34/14.30  																													| (311) $false
% 44.34/14.30  																													|
% 44.34/14.30  																													|-The branch is then unsatisfiable
% 44.34/14.30  																												|-Branch two:
% 44.34/14.30  																												| (355)  ~ (all_0_95_95 = e2)
% 44.34/14.30  																												| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 44.34/14.30  																												|
% 44.34/14.30  																													+-Applying beta-rule and splitting (770), into two cases.
% 44.34/14.30  																													|-Branch one:
% 44.34/14.30  																													| (785) all_0_95_95 = e1
% 44.34/14.30  																													|
% 44.34/14.30  																														| Equations (785) can reduce 680 to:
% 44.34/14.30  																														| (311) $false
% 44.34/14.30  																														|
% 44.34/14.30  																														|-The branch is then unsatisfiable
% 44.34/14.30  																													|-Branch two:
% 44.34/14.30  																													| (680)  ~ (all_0_95_95 = e1)
% 44.34/14.30  																													| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 44.34/14.30  																													|
% 44.34/14.30  																														+-Applying beta-rule and splitting (853), into two cases.
% 44.34/14.30  																														|-Branch one:
% 44.34/14.30  																														| (744) all_0_95_95 = e3
% 44.34/14.30  																														|
% 44.34/14.30  																															| Equations (744) can reduce 765 to:
% 44.34/14.30  																															| (311) $false
% 44.34/14.30  																															|
% 44.34/14.30  																															|-The branch is then unsatisfiable
% 44.34/14.30  																														|-Branch two:
% 44.34/14.30  																														| (765)  ~ (all_0_95_95 = e3)
% 44.34/14.30  																														| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 44.34/14.30  																														|
% 44.34/14.30  																															+-Applying beta-rule and splitting (857), into two cases.
% 44.34/14.30  																															|-Branch one:
% 44.34/14.30  																															| (858) all_0_95_95 = e0
% 44.34/14.30  																															|
% 44.34/14.30  																																| Equations (858) can reduce 229 to:
% 44.34/14.30  																																| (762)  ~ (all_0_90_90 = e0)
% 44.34/14.30  																																|
% 44.34/14.30  																																| Equations (858) can reduce 107 to:
% 44.34/14.30  																																| (2058)  ~ (all_0_98_98 = e0)
% 44.34/14.30  																																|
% 44.34/14.30  																																| Simplifying 2058 yields:
% 44.34/14.30  																																| (2059)  ~ (all_0_98_98 = e0)
% 44.34/14.30  																																|
% 44.34/14.30  																																| From (858) and (275) follows:
% 44.34/14.30  																																| (20508) op(e0, e3) = e0
% 44.34/14.30  																																|
% 44.34/14.30  																																+-Applying beta-rule and splitting (46), into two cases.
% 44.34/14.30  																																|-Branch one:
% 44.34/14.30  																																| (308) all_0_89_89 = e4
% 44.34/14.30  																																|
% 44.34/14.30  																																	| Combining equations (308,292) yields a new equation:
% 44.34/14.30  																																	| (309) e4 = e2
% 44.34/14.30  																																	|
% 44.34/14.30  																																	| Simplifying 309 yields:
% 44.34/14.30  																																	| (310) e4 = e2
% 44.34/14.30  																																	|
% 44.34/14.30  																																	| Equations (310) can reduce 79 to:
% 44.34/14.30  																																	| (311) $false
% 44.34/14.30  																																	|
% 44.34/14.30  																																	|-The branch is then unsatisfiable
% 44.34/14.30  																																|-Branch two:
% 44.34/14.30  																																| (312)  ~ (all_0_89_89 = e4)
% 44.34/14.30  																																| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.34/14.30  																																|
% 44.34/14.30  																																	+-Applying beta-rule and splitting (291), into two cases.
% 44.34/14.30  																																	|-Branch one:
% 44.34/14.30  																																	| (758) all_0_90_90 = e0
% 44.34/14.30  																																	|
% 44.34/14.30  																																		| Equations (758) can reduce 762 to:
% 44.34/14.30  																																		| (311) $false
% 44.34/14.30  																																		|
% 44.34/14.30  																																		|-The branch is then unsatisfiable
% 44.34/14.30  																																	|-Branch two:
% 44.34/14.30  																																	| (762)  ~ (all_0_90_90 = e0)
% 44.34/14.30  																																	| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.34/14.30  																																	|
% 44.34/14.30  																																		+-Applying beta-rule and splitting (1455), into two cases.
% 44.34/14.30  																																		|-Branch one:
% 44.34/14.30  																																		| (1456) all_0_91_91 = e0
% 44.34/14.30  																																		|
% 44.34/14.30  																																			| Equations (1456) can reduce 17 to:
% 44.34/14.30  																																			| (9)  ~ (all_0_79_79 = e0)
% 44.34/14.30  																																			|
% 44.34/14.30  																																			| Equations (1456) can reduce 64 to:
% 44.34/14.30  																																			| (2296)  ~ (all_0_96_96 = e0)
% 44.34/14.30  																																			|
% 44.34/14.30  																																			| Simplifying 2296 yields:
% 44.34/14.30  																																			| (2095)  ~ (all_0_96_96 = e0)
% 44.34/14.30  																																			|
% 44.34/14.30  																																			| Equations (1456) can reduce 133 to:
% 44.34/14.30  																																			| (904)  ~ (e4 = e0)
% 44.34/14.30  																																			|
% 44.34/14.30  																																			| Simplifying 904 yields:
% 44.34/14.30  																																			| (23)  ~ (e4 = e0)
% 44.34/14.30  																																			|
% 44.34/14.30  																																			+-Applying beta-rule and splitting (1915), into two cases.
% 44.34/14.30  																																			|-Branch one:
% 44.34/14.30  																																			| (583) all_0_90_90 = e4
% 44.34/14.30  																																			|
% 44.34/14.30  																																				| Equations (583) can reduce 72 to:
% 44.34/14.30  																																				| (1906)  ~ (all_0_92_92 = e4)
% 44.34/14.30  																																				|
% 44.34/14.30  																																				| Simplifying 1906 yields:
% 44.34/14.30  																																				| (1619)  ~ (all_0_92_92 = e4)
% 44.34/14.30  																																				|
% 44.34/14.30  																																				| Equations (583) can reduce 745 to:
% 44.34/14.30  																																				| (177)  ~ (e4 = e3)
% 44.34/14.30  																																				|
% 44.34/14.30  																																				| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 44.34/14.30  																																				| (686) all_0_70_70 = e0
% 44.34/14.30  																																				|
% 44.34/14.30  																																				+-Applying beta-rule and splitting (89), into two cases.
% 44.34/14.30  																																				|-Branch one:
% 44.34/14.30  																																				| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 44.34/14.30  																																				|
% 44.34/14.30  																																					+-Applying beta-rule and splitting (1373), into two cases.
% 44.34/14.30  																																					|-Branch one:
% 44.34/14.30  																																					| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 44.34/14.30  																																					|
% 44.34/14.30  																																						+-Applying beta-rule and splitting (1374), into two cases.
% 44.34/14.30  																																						|-Branch one:
% 44.34/14.30  																																						| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 44.34/14.30  																																						|
% 44.34/14.30  																																							| Applying alpha-rule on (1375) yields:
% 44.34/14.30  																																							| (1376) all_0_69_69 = e4
% 44.34/14.30  																																							| (1377)  ~ (all_0_70_70 = e0)
% 44.34/14.30  																																							|
% 44.34/14.30  																																							| Equations (686) can reduce 1377 to:
% 44.34/14.30  																																							| (311) $false
% 44.34/14.30  																																							|
% 44.34/14.30  																																							|-The branch is then unsatisfiable
% 44.34/14.30  																																						|-Branch two:
% 44.34/14.30  																																						| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 44.34/14.30  																																						|
% 44.34/14.30  																																							| Applying alpha-rule on (1379) yields:
% 44.34/14.30  																																							| (1380) all_0_71_71 = e3
% 44.34/14.30  																																							| (1381)  ~ (all_0_72_72 = e0)
% 44.34/14.30  																																							|
% 44.34/14.30  																																							| Equations (10076) can reduce 1381 to:
% 44.34/14.30  																																							| (311) $false
% 44.34/14.30  																																							|
% 44.34/14.30  																																							|-The branch is then unsatisfiable
% 44.34/14.30  																																					|-Branch two:
% 44.34/14.30  																																					| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 44.34/14.30  																																					|
% 44.34/14.30  																																						| Applying alpha-rule on (1385) yields:
% 44.34/14.30  																																						| (1386) all_0_73_73 = e2
% 44.34/14.30  																																						| (1387)  ~ (all_0_74_74 = e0)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Combining equations (1386,18823) yields a new equation:
% 44.34/14.30  																																						| (1704) all_0_96_96 = e2
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Equations (1704) can reduce 1638 to:
% 44.34/14.30  																																						| (311) $false
% 44.34/14.30  																																						|
% 44.34/14.30  																																						|-The branch is then unsatisfiable
% 44.34/14.30  																																				|-Branch two:
% 44.34/14.30  																																				| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 44.34/14.30  																																				|
% 44.34/14.30  																																					| Applying alpha-rule on (1391) yields:
% 44.34/14.30  																																					| (1392) all_0_75_75 = e1
% 44.34/14.30  																																					| (1393)  ~ (all_0_76_76 = e0)
% 44.34/14.30  																																					|
% 44.34/14.30  																																					| From (1392) and (173) follows:
% 44.34/14.30  																																					| (1394) op(e0, all_0_93_93) = e1
% 44.34/14.30  																																					|
% 44.34/14.30  																																					+-Applying beta-rule and splitting (127), into two cases.
% 44.34/14.30  																																					|-Branch one:
% 44.34/14.30  																																					| (457) all_0_79_79 = e1
% 44.34/14.30  																																					|
% 44.34/14.30  																																						| Equations (457) can reduce 63 to:
% 44.34/14.30  																																						| (1665)  ~ (all_0_80_80 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Simplifying 1665 yields:
% 44.34/14.30  																																						| (828)  ~ (all_0_80_80 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Equations (457) can reduce 214 to:
% 44.34/14.30  																																						| (1671)  ~ (all_0_96_96 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Simplifying 1671 yields:
% 44.34/14.30  																																						| (1479)  ~ (all_0_96_96 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Equations (457) can reduce 1622 to:
% 44.34/14.30  																																						| (487)  ~ (e2 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Simplifying 487 yields:
% 44.34/14.30  																																						| (243)  ~ (e2 = e1)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						| Equations (457) can reduce 9 to:
% 44.34/14.30  																																						| (264)  ~ (e1 = e0)
% 44.34/14.30  																																						|
% 44.34/14.30  																																						+-Applying beta-rule and splitting (151), into two cases.
% 44.34/14.30  																																						|-Branch one:
% 44.34/14.30  																																						| (824) all_0_80_80 = e1
% 44.34/14.30  																																						|
% 44.34/14.30  																																							| Equations (824) can reduce 828 to:
% 44.34/14.30  																																							| (311) $false
% 44.34/14.30  																																							|
% 44.34/14.30  																																							|-The branch is then unsatisfiable
% 44.34/14.30  																																						|-Branch two:
% 44.34/14.30  																																						| (828)  ~ (all_0_80_80 = e1)
% 44.34/14.30  																																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.34/14.30  																																						|
% 44.34/14.30  																																							+-Applying beta-rule and splitting (829), into two cases.
% 44.34/14.30  																																							|-Branch one:
% 44.34/14.30  																																							| (482) all_0_87_87 = e1
% 44.34/14.30  																																							|
% 44.34/14.30  																																								| Combining equations (482,861) yields a new equation:
% 44.34/14.30  																																								| (1107) e1 = e0
% 44.34/14.30  																																								|
% 44.34/14.30  																																								| Simplifying 1107 yields:
% 44.34/14.30  																																								| (865) e1 = e0
% 44.34/14.30  																																								|
% 44.34/14.30  																																								| Equations (865) can reduce 264 to:
% 44.34/14.30  																																								| (311) $false
% 44.34/14.30  																																								|
% 44.34/14.30  																																								|-The branch is then unsatisfiable
% 44.34/14.30  																																							|-Branch two:
% 44.34/14.30  																																							| (625)  ~ (all_0_87_87 = e1)
% 44.34/14.30  																																							| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.34/14.30  																																							|
% 44.34/14.30  																																								+-Applying beta-rule and splitting (835), into two cases.
% 44.34/14.30  																																								|-Branch one:
% 44.34/14.30  																																								| (836) all_0_92_92 = e1
% 44.34/14.30  																																								|
% 44.34/14.30  																																									| Equations (836) can reduce 283 to:
% 44.34/14.30  																																									| (480)  ~ (all_0_93_93 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									| Simplifying 480 yields:
% 44.34/14.30  																																									| (481)  ~ (all_0_93_93 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									| Equations (836) can reduce 1619 to:
% 44.34/14.30  																																									| (681)  ~ (e4 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									| Simplifying 681 yields:
% 44.34/14.30  																																									| (256)  ~ (e4 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									| Equations (836) can reduce 298 to:
% 44.34/14.30  																																									| (487)  ~ (e2 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									| Simplifying 487 yields:
% 44.34/14.30  																																									| (243)  ~ (e2 = e1)
% 44.34/14.30  																																									|
% 44.34/14.30  																																									+-Applying beta-rule and splitting (282), into two cases.
% 44.34/14.30  																																									|-Branch one:
% 44.34/14.30  																																									| (754) all_0_90_90 = e3
% 44.34/14.30  																																									|
% 44.34/14.30  																																										| Combining equations (583,754) yields a new equation:
% 44.34/14.30  																																										| (790) e4 = e3
% 44.34/14.30  																																										|
% 44.34/14.30  																																										| Simplifying 790 yields:
% 44.34/14.30  																																										| (434) e4 = e3
% 44.34/14.30  																																										|
% 44.34/14.30  																																										| Equations (434) can reduce 177 to:
% 44.34/14.30  																																										| (311) $false
% 44.34/14.30  																																										|
% 44.34/14.30  																																										|-The branch is then unsatisfiable
% 44.34/14.30  																																									|-Branch two:
% 44.34/14.30  																																									| (745)  ~ (all_0_90_90 = e3)
% 44.34/14.30  																																									| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.34/14.30  																																									|
% 44.34/14.30  																																										+-Applying beta-rule and splitting (84), into two cases.
% 44.34/14.30  																																										|-Branch one:
% 44.34/14.31  																																										| (1704) all_0_96_96 = e2
% 44.34/14.31  																																										|
% 44.34/14.31  																																											| Equations (1704) can reduce 1638 to:
% 44.34/14.31  																																											| (311) $false
% 44.34/14.31  																																											|
% 44.34/14.31  																																											|-The branch is then unsatisfiable
% 44.34/14.31  																																										|-Branch two:
% 44.34/14.31  																																										| (1638)  ~ (all_0_96_96 = e2)
% 44.34/14.31  																																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.34/14.31  																																										|
% 44.34/14.31  																																											+-Applying beta-rule and splitting (106), into two cases.
% 44.34/14.31  																																											|-Branch one:
% 44.34/14.31  																																											| (771) all_0_78_78 = e3
% 44.34/14.31  																																											|
% 44.34/14.31  																																												| Combining equations (771,400) yields a new equation:
% 44.34/14.31  																																												| (547) e3 = e2
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Simplifying 547 yields:
% 44.34/14.31  																																												| (548) e3 = e2
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Equations (548) can reduce 169 to:
% 44.34/14.31  																																												| (311) $false
% 44.34/14.31  																																												|
% 44.34/14.31  																																												|-The branch is then unsatisfiable
% 44.34/14.31  																																											|-Branch two:
% 44.34/14.31  																																											| (418)  ~ (all_0_78_78 = e3)
% 44.34/14.31  																																											| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.34/14.31  																																											|
% 44.34/14.31  																																												+-Applying beta-rule and splitting (1707), into two cases.
% 44.34/14.31  																																												|-Branch one:
% 44.34/14.31  																																												| (960) all_0_96_96 = e1
% 44.34/14.31  																																												|
% 44.34/14.31  																																													| Equations (960) can reduce 1479 to:
% 44.34/14.31  																																													| (311) $false
% 44.34/14.31  																																													|
% 44.34/14.31  																																													|-The branch is then unsatisfiable
% 44.34/14.31  																																												|-Branch two:
% 44.34/14.31  																																												| (1479)  ~ (all_0_96_96 = e1)
% 44.34/14.31  																																												| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.34/14.31  																																												|
% 44.34/14.31  																																													+-Applying beta-rule and splitting (2016), into two cases.
% 44.34/14.31  																																													|-Branch one:
% 44.34/14.31  																																													| (778) all_0_96_96 = e3
% 44.34/14.31  																																													|
% 44.34/14.31  																																														| Equations (778) can reduce 43 to:
% 44.34/14.31  																																														| (1518)  ~ (all_0_98_98 = e3)
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| Simplifying 1518 yields:
% 44.34/14.31  																																														| (1519)  ~ (all_0_98_98 = e3)
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| Equations (778) can reduce 115 to:
% 44.34/14.31  																																														| (783)  ~ (e4 = e3)
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| Simplifying 783 yields:
% 44.34/14.31  																																														| (177)  ~ (e4 = e3)
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| Equations (778) can reduce 1479 to:
% 44.34/14.31  																																														| (20)  ~ (e3 = e1)
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| From (778) and (268) follows:
% 44.34/14.31  																																														| (10600) op(e0, e3) = all_0_59_59
% 44.34/14.31  																																														|
% 44.34/14.31  																																														+-Applying beta-rule and splitting (1756), into two cases.
% 44.34/14.31  																																														|-Branch one:
% 44.34/14.31  																																														| (1708) all_0_79_79 = e3
% 44.34/14.31  																																														|
% 44.34/14.31  																																															| Combining equations (457,1708) yields a new equation:
% 44.34/14.31  																																															| (772) e3 = e1
% 44.34/14.31  																																															|
% 44.34/14.31  																																															| Equations (772) can reduce 20 to:
% 44.34/14.31  																																															| (311) $false
% 44.34/14.31  																																															|
% 44.34/14.31  																																															|-The branch is then unsatisfiable
% 44.34/14.31  																																														|-Branch two:
% 44.34/14.31  																																														| (1711)  ~ (all_0_79_79 = e3)
% 44.34/14.31  																																														| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.34/14.31  																																														|
% 44.34/14.31  																																															+-Applying beta-rule and splitting (1768), into two cases.
% 44.34/14.31  																																															|-Branch one:
% 44.34/14.31  																																															| (416) all_0_80_80 = e3
% 44.34/14.31  																																															|
% 44.34/14.31  																																																| Equations (416) can reduce 166 to:
% 44.34/14.31  																																																| (50)  ~ (e3 = e0)
% 44.34/14.31  																																																|
% 44.34/14.31  																																																+-Applying beta-rule and splitting (849), into two cases.
% 44.34/14.31  																																																|-Branch one:
% 44.34/14.31  																																																| (588) all_0_91_91 = e3
% 44.34/14.31  																																																|
% 44.34/14.31  																																																	| Combining equations (1456,588) yields a new equation:
% 44.34/14.31  																																																	| (600) e3 = e0
% 44.34/14.31  																																																	|
% 44.34/14.31  																																																	| Equations (600) can reduce 50 to:
% 44.34/14.31  																																																	| (311) $false
% 44.34/14.31  																																																	|
% 44.34/14.31  																																																	|-The branch is then unsatisfiable
% 44.34/14.31  																																																|-Branch two:
% 44.34/14.31  																																																| (571)  ~ (all_0_91_91 = e3)
% 44.34/14.31  																																																| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.34/14.31  																																																|
% 44.34/14.31  																																																	+-Applying beta-rule and splitting (108), into two cases.
% 44.34/14.31  																																																	|-Branch one:
% 44.34/14.31  																																																	| (477) all_0_81_81 = e1
% 44.34/14.31  																																																	|
% 44.34/14.31  																																																		| Combining equations (638,477) yields a new equation:
% 44.34/14.31  																																																		| (813) e4 = e1
% 44.34/14.31  																																																		|
% 44.34/14.31  																																																		| Simplifying 813 yields:
% 44.34/14.31  																																																		| (814) e4 = e1
% 44.34/14.31  																																																		|
% 44.34/14.31  																																																		| Equations (814) can reduce 256 to:
% 44.34/14.31  																																																		| (311) $false
% 44.34/14.31  																																																		|
% 44.34/14.31  																																																		|-The branch is then unsatisfiable
% 44.34/14.31  																																																	|-Branch two:
% 44.34/14.31  																																																	| (628)  ~ (all_0_81_81 = e1)
% 44.34/14.31  																																																	| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.34/14.31  																																																	|
% 44.34/14.31  																																																		+-Applying beta-rule and splitting (817), into two cases.
% 44.34/14.31  																																																		|-Branch one:
% 44.34/14.31  																																																		| (504) all_0_88_88 = e1
% 44.34/14.31  																																																		|
% 44.34/14.31  																																																			| Combining equations (370,504) yields a new equation:
% 44.34/14.31  																																																			| (408) e2 = e1
% 44.34/14.31  																																																			|
% 44.34/14.31  																																																			| Simplifying 408 yields:
% 44.34/14.31  																																																			| (385) e2 = e1
% 44.34/14.31  																																																			|
% 44.34/14.31  																																																			| Equations (385) can reduce 243 to:
% 44.34/14.31  																																																			| (311) $false
% 44.34/14.31  																																																			|
% 44.34/14.31  																																																			|-The branch is then unsatisfiable
% 44.34/14.31  																																																		|-Branch two:
% 44.34/14.31  																																																		| (479)  ~ (all_0_88_88 = e1)
% 44.34/14.31  																																																		| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.34/14.31  																																																		|
% 44.34/14.31  																																																			+-Applying beta-rule and splitting (897), into two cases.
% 44.34/14.31  																																																			|-Branch one:
% 44.34/14.31  																																																			| (566) all_0_93_93 = e1
% 44.34/14.31  																																																			|
% 44.34/14.31  																																																				| Equations (566) can reduce 481 to:
% 44.34/14.31  																																																				| (311) $false
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																				|-The branch is then unsatisfiable
% 44.34/14.31  																																																			|-Branch two:
% 44.34/14.31  																																																			| (481)  ~ (all_0_93_93 = e1)
% 44.34/14.31  																																																			| (1543) all_0_98_98 = e1
% 44.34/14.31  																																																			|
% 44.34/14.31  																																																				| Equations (1543) can reduce 1519 to:
% 44.34/14.31  																																																				| (683)  ~ (e3 = e1)
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																				| Simplifying 683 yields:
% 44.34/14.31  																																																				| (20)  ~ (e3 = e1)
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																				| Equations (1543) can reduce 2059 to:
% 44.34/14.31  																																																				| (264)  ~ (e1 = e0)
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																				+-Applying beta-rule and splitting (881), into two cases.
% 44.34/14.31  																																																				|-Branch one:
% 44.34/14.31  																																																				| (882) all_0_92_92 = e3
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																					| Combining equations (836,882) yields a new equation:
% 44.34/14.31  																																																					| (772) e3 = e1
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					| Equations (772) can reduce 20 to:
% 44.34/14.31  																																																					| (311) $false
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					|-The branch is then unsatisfiable
% 44.34/14.31  																																																				|-Branch two:
% 44.34/14.31  																																																				| (426)  ~ (all_0_92_92 = e3)
% 44.34/14.31  																																																				| (570) all_0_93_93 = e3
% 44.34/14.31  																																																				|
% 44.34/14.31  																																																					| From (570) and (1394) follows:
% 44.34/14.31  																																																					| (1511) op(e0, e3) = e1
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					| Instantiating formula (262) with e0, e3, all_0_59_59, e0 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e0, yields:
% 44.34/14.31  																																																					| (20638) all_0_59_59 = e0
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					| Instantiating formula (262) with e0, e3, e1, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e1, yields:
% 44.34/14.31  																																																					| (10607) all_0_59_59 = e1
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					| Combining equations (20638,10607) yields a new equation:
% 44.34/14.31  																																																					| (865) e1 = e0
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					| Equations (865) can reduce 264 to:
% 44.34/14.31  																																																					| (311) $false
% 44.34/14.31  																																																					|
% 44.34/14.31  																																																					|-The branch is then unsatisfiable
% 44.34/14.31  																																															|-Branch two:
% 44.34/14.31  																																															| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.31  																																															| (635) all_0_81_81 = e3
% 44.34/14.31  																																															|
% 44.34/14.31  																																																| Combining equations (638,635) yields a new equation:
% 44.34/14.31  																																																| (790) e4 = e3
% 44.34/14.31  																																																|
% 44.34/14.31  																																																| Simplifying 790 yields:
% 44.34/14.31  																																																| (434) e4 = e3
% 44.34/14.31  																																																|
% 44.34/14.31  																																																| Equations (434) can reduce 177 to:
% 44.34/14.31  																																																| (311) $false
% 44.34/14.31  																																																|
% 44.34/14.31  																																																|-The branch is then unsatisfiable
% 44.34/14.31  																																													|-Branch two:
% 44.34/14.31  																																													| (964)  ~ (all_0_96_96 = e3)
% 44.34/14.31  																																													| (1837) all_0_96_96 = e0
% 44.34/14.31  																																													|
% 44.34/14.31  																																														| Equations (1837) can reduce 2095 to:
% 44.34/14.31  																																														| (311) $false
% 44.34/14.31  																																														|
% 44.34/14.31  																																														|-The branch is then unsatisfiable
% 44.34/14.31  																																								|-Branch two:
% 44.34/14.31  																																								| (840)  ~ (all_0_92_92 = e1)
% 44.34/14.31  																																								| (542) all_0_97_97 = e1
% 44.34/14.31  																																								|
% 44.34/14.31  																																									| Combining equations (538,542) yields a new equation:
% 44.34/14.31  																																									| (408) e2 = e1
% 44.34/14.31  																																									|
% 44.34/14.31  																																									| Simplifying 408 yields:
% 44.34/14.31  																																									| (385) e2 = e1
% 44.34/14.31  																																									|
% 44.34/14.31  																																									| Equations (385) can reduce 243 to:
% 44.34/14.31  																																									| (311) $false
% 44.34/14.31  																																									|
% 44.34/14.31  																																									|-The branch is then unsatisfiable
% 44.34/14.31  																																					|-Branch two:
% 44.34/14.31  																																					| (461)  ~ (all_0_79_79 = e1)
% 44.34/14.31  																																					| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.34/14.31  																																					|
% 44.34/14.31  																																						+-Applying beta-rule and splitting (1623), into two cases.
% 44.34/14.31  																																						|-Branch one:
% 44.34/14.31  																																						| (457) all_0_79_79 = e1
% 44.34/14.31  																																						|
% 44.34/14.31  																																							| Equations (457) can reduce 461 to:
% 44.34/14.31  																																							| (311) $false
% 44.34/14.31  																																							|
% 44.34/14.31  																																							|-The branch is then unsatisfiable
% 44.34/14.31  																																						|-Branch two:
% 44.34/14.31  																																						| (461)  ~ (all_0_79_79 = e1)
% 44.34/14.31  																																						| (1708) all_0_79_79 = e3
% 44.34/14.31  																																						|
% 44.34/14.31  																																							| Equations (1708) can reduce 63 to:
% 44.34/14.31  																																							| (3267)  ~ (all_0_80_80 = e3)
% 44.34/14.31  																																							|
% 44.34/14.31  																																							| Simplifying 3267 yields:
% 44.34/14.31  																																							| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.31  																																							|
% 44.34/14.31  																																							| Equations (1708) can reduce 214 to:
% 44.34/14.31  																																							| (1300)  ~ (all_0_96_96 = e3)
% 44.34/14.31  																																							|
% 44.34/14.31  																																							| Simplifying 1300 yields:
% 44.34/14.31  																																							| (964)  ~ (all_0_96_96 = e3)
% 44.34/14.31  																																							|
% 44.34/14.31  																																							+-Applying beta-rule and splitting (84), into two cases.
% 44.34/14.31  																																							|-Branch one:
% 44.34/14.31  																																							| (1704) all_0_96_96 = e2
% 44.34/14.31  																																							|
% 44.34/14.31  																																								| Equations (1704) can reduce 1638 to:
% 44.34/14.31  																																								| (311) $false
% 44.34/14.31  																																								|
% 44.34/14.31  																																								|-The branch is then unsatisfiable
% 44.34/14.31  																																							|-Branch two:
% 44.34/14.31  																																							| (1638)  ~ (all_0_96_96 = e2)
% 44.34/14.31  																																							| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.34/14.31  																																							|
% 44.34/14.31  																																								+-Applying beta-rule and splitting (1707), into two cases.
% 44.34/14.31  																																								|-Branch one:
% 44.34/14.31  																																								| (960) all_0_96_96 = e1
% 44.34/14.31  																																								|
% 44.34/14.31  																																									| From (960) and (268) follows:
% 44.34/14.31  																																									| (19923) op(e0, e1) = all_0_59_59
% 44.34/14.31  																																									|
% 44.34/14.31  																																									+-Applying beta-rule and splitting (207), into two cases.
% 44.34/14.31  																																									|-Branch one:
% 44.34/14.31  																																									| (416) all_0_80_80 = e3
% 44.34/14.31  																																									|
% 44.34/14.31  																																										| Equations (416) can reduce 2347 to:
% 44.34/14.31  																																										| (311) $false
% 44.34/14.31  																																										|
% 44.34/14.31  																																										|-The branch is then unsatisfiable
% 44.34/14.31  																																									|-Branch two:
% 44.34/14.31  																																									| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.31  																																									| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.34/14.31  																																									|
% 44.34/14.31  																																										+-Applying beta-rule and splitting (45), into two cases.
% 44.34/14.31  																																										|-Branch one:
% 44.34/14.31  																																										| (546) all_0_80_80 = e2
% 44.34/14.31  																																										|
% 44.34/14.31  																																											| Equations (546) can reduce 394 to:
% 44.34/14.31  																																											| (311) $false
% 44.34/14.31  																																											|
% 44.34/14.31  																																											|-The branch is then unsatisfiable
% 44.34/14.31  																																										|-Branch two:
% 44.34/14.31  																																										| (394)  ~ (all_0_80_80 = e2)
% 44.34/14.31  																																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.34/14.31  																																										|
% 44.34/14.31  																																											+-Applying beta-rule and splitting (3232), into two cases.
% 44.34/14.31  																																											|-Branch one:
% 44.34/14.31  																																											| (824) all_0_80_80 = e1
% 44.34/14.31  																																											|
% 44.34/14.31  																																												| Equations (824) can reduce 49 to:
% 44.34/14.31  																																												| (2131)  ~ (all_0_92_92 = e1)
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Simplifying 2131 yields:
% 44.34/14.31  																																												| (840)  ~ (all_0_92_92 = e1)
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Equations (824) can reduce 436 to:
% 44.34/14.31  																																												| (681)  ~ (e4 = e1)
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Simplifying 681 yields:
% 44.34/14.31  																																												| (256)  ~ (e4 = e1)
% 44.34/14.31  																																												|
% 44.34/14.31  																																												| Equations (824) can reduce 166 to:
% 44.34/14.31  																																												| (264)  ~ (e1 = e0)
% 44.34/14.31  																																												|
% 44.34/14.31  																																												+-Applying beta-rule and splitting (132), into two cases.
% 44.34/14.31  																																												|-Branch one:
% 44.34/14.31  																																												| (750) all_0_90_90 = e1
% 44.34/14.31  																																												|
% 44.34/14.31  																																													| Combining equations (583,750) yields a new equation:
% 44.34/14.31  																																													| (813) e4 = e1
% 44.34/14.31  																																													|
% 44.34/14.31  																																													| Simplifying 813 yields:
% 44.34/14.31  																																													| (814) e4 = e1
% 44.34/14.31  																																													|
% 44.34/14.31  																																													| Equations (814) can reduce 256 to:
% 44.34/14.31  																																													| (311) $false
% 44.34/14.31  																																													|
% 44.34/14.31  																																													|-The branch is then unsatisfiable
% 44.34/14.31  																																												|-Branch two:
% 44.34/14.31  																																												| (678)  ~ (all_0_90_90 = e1)
% 44.34/14.31  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.34/14.31  																																												|
% 44.34/14.31  																																													+-Applying beta-rule and splitting (1526), into two cases.
% 44.34/14.31  																																													|-Branch one:
% 44.34/14.31  																																													| (801) all_0_91_91 = e1
% 44.34/14.31  																																													|
% 44.34/14.31  																																														| Combining equations (1456,801) yields a new equation:
% 44.34/14.31  																																														| (865) e1 = e0
% 44.34/14.31  																																														|
% 44.34/14.31  																																														| Equations (865) can reduce 264 to:
% 44.34/14.31  																																														| (311) $false
% 44.34/14.31  																																														|
% 44.34/14.31  																																														|-The branch is then unsatisfiable
% 44.34/14.31  																																													|-Branch two:
% 44.34/14.31  																																													| (959)  ~ (all_0_91_91 = e1)
% 44.34/14.31  																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.34/14.31  																																													|
% 44.34/14.31  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 44.34/14.31  																																														|-Branch one:
% 44.34/14.31  																																														| (836) all_0_92_92 = e1
% 44.34/14.31  																																														|
% 44.34/14.31  																																															| Equations (836) can reduce 840 to:
% 44.34/14.31  																																															| (311) $false
% 44.34/14.31  																																															|
% 44.34/14.31  																																															|-The branch is then unsatisfiable
% 44.34/14.31  																																														|-Branch two:
% 44.34/14.31  																																														| (840)  ~ (all_0_92_92 = e1)
% 44.34/14.31  																																														| (566) all_0_93_93 = e1
% 44.34/14.31  																																														|
% 44.34/14.31  																																															| Equations (566) can reduce 300 to:
% 44.34/14.31  																																															| (487)  ~ (e2 = e1)
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Simplifying 487 yields:
% 44.34/14.32  																																															| (243)  ~ (e2 = e1)
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| From (566) and (1394) follows:
% 44.34/14.32  																																															| (2475) op(e0, e1) = e1
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Instantiating formula (262) with e0, e1, all_0_59_59, e2 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e2, yields:
% 44.34/14.32  																																															| (5799) all_0_59_59 = e2
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Instantiating formula (262) with e0, e1, e1, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e1, yields:
% 44.34/14.32  																																															| (10607) all_0_59_59 = e1
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Combining equations (5799,10607) yields a new equation:
% 44.34/14.32  																																															| (408) e2 = e1
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Simplifying 408 yields:
% 44.34/14.32  																																															| (385) e2 = e1
% 44.34/14.32  																																															|
% 44.34/14.32  																																															| Equations (385) can reduce 243 to:
% 44.34/14.32  																																															| (311) $false
% 44.34/14.32  																																															|
% 44.34/14.32  																																															|-The branch is then unsatisfiable
% 44.34/14.32  																																											|-Branch two:
% 44.34/14.32  																																											| (828)  ~ (all_0_80_80 = e1)
% 44.34/14.32  																																											| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.34/14.32  																																											|
% 44.34/14.32  																																												+-Applying beta-rule and splitting (4018), into two cases.
% 44.34/14.32  																																												|-Branch one:
% 44.34/14.32  																																												| (416) all_0_80_80 = e3
% 44.34/14.32  																																												|
% 44.34/14.32  																																													| Equations (416) can reduce 2347 to:
% 44.34/14.32  																																													| (311) $false
% 44.34/14.32  																																													|
% 44.34/14.32  																																													|-The branch is then unsatisfiable
% 44.34/14.32  																																												|-Branch two:
% 44.34/14.32  																																												| (2347)  ~ (all_0_80_80 = e3)
% 44.34/14.32  																																												| (433) all_0_80_80 = e4
% 44.34/14.32  																																												|
% 44.34/14.32  																																													| Equations (433) can reduce 436 to:
% 44.34/14.32  																																													| (311) $false
% 44.34/14.32  																																													|
% 44.34/14.32  																																													|-The branch is then unsatisfiable
% 44.34/14.32  																																								|-Branch two:
% 44.34/14.32  																																								| (1479)  ~ (all_0_96_96 = e1)
% 44.34/14.32  																																								| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.34/14.32  																																								|
% 44.34/14.32  																																									+-Applying beta-rule and splitting (2016), into two cases.
% 44.34/14.32  																																									|-Branch one:
% 44.34/14.32  																																									| (778) all_0_96_96 = e3
% 44.34/14.32  																																									|
% 44.34/14.32  																																										| Equations (778) can reduce 964 to:
% 44.34/14.32  																																										| (311) $false
% 44.34/14.32  																																										|
% 44.34/14.32  																																										|-The branch is then unsatisfiable
% 44.34/14.32  																																									|-Branch two:
% 44.34/14.32  																																									| (964)  ~ (all_0_96_96 = e3)
% 44.34/14.32  																																									| (1837) all_0_96_96 = e0
% 44.34/14.32  																																									|
% 44.34/14.32  																																										| Equations (1837) can reduce 2095 to:
% 44.34/14.32  																																										| (311) $false
% 44.34/14.32  																																										|
% 44.34/14.32  																																										|-The branch is then unsatisfiable
% 44.34/14.32  																																			|-Branch two:
% 44.34/14.32  																																			| (467)  ~ (all_0_90_90 = e4)
% 44.34/14.32  																																			| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.34/14.32  																																			|
% 44.34/14.32  																																				+-Applying beta-rule and splitting (3629), into two cases.
% 44.34/14.32  																																				|-Branch one:
% 44.34/14.32  																																				| (583) all_0_90_90 = e4
% 44.34/14.32  																																				|
% 44.34/14.32  																																					| Equations (583) can reduce 467 to:
% 44.34/14.32  																																					| (311) $false
% 44.34/14.32  																																					|
% 44.34/14.32  																																					|-The branch is then unsatisfiable
% 44.34/14.32  																																				|-Branch two:
% 44.34/14.32  																																				| (467)  ~ (all_0_90_90 = e4)
% 44.34/14.32  																																				| (894) all_0_95_95 = e4
% 44.34/14.32  																																				|
% 44.34/14.32  																																					| Combining equations (894,858) yields a new equation:
% 44.34/14.32  																																					| (911) e4 = e0
% 44.34/14.32  																																					|
% 44.34/14.32  																																					| Simplifying 911 yields:
% 44.34/14.32  																																					| (912) e4 = e0
% 44.34/14.32  																																					|
% 44.34/14.32  																																					| Equations (912) can reduce 23 to:
% 44.34/14.32  																																					| (311) $false
% 44.34/14.32  																																					|
% 44.34/14.32  																																					|-The branch is then unsatisfiable
% 44.34/14.32  																																		|-Branch two:
% 44.34/14.32  																																		| (1487)  ~ (all_0_91_91 = e0)
% 44.34/14.32  																																		| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.34/14.32  																																		|
% 44.34/14.32  																																			+-Applying beta-rule and splitting (1488), into two cases.
% 44.34/14.32  																																			|-Branch one:
% 44.34/14.32  																																			| (942) all_0_92_92 = e0
% 44.34/14.32  																																			|
% 44.34/14.32  																																				| Equations (942) can reduce 946 to:
% 44.34/14.32  																																				| (311) $false
% 44.34/14.32  																																				|
% 44.34/14.32  																																				|-The branch is then unsatisfiable
% 44.34/14.32  																																			|-Branch two:
% 44.34/14.32  																																			| (946)  ~ (all_0_92_92 = e0)
% 44.34/14.32  																																			| (604) all_0_93_93 = e0
% 44.34/14.32  																																			|
% 44.34/14.32  																																				| Equations (604) can reduce 509 to:
% 44.34/14.32  																																				| (311) $false
% 44.34/14.32  																																				|
% 44.34/14.32  																																				|-The branch is then unsatisfiable
% 44.34/14.32  																															|-Branch two:
% 44.34/14.32  																															| (893)  ~ (all_0_95_95 = e0)
% 44.34/14.32  																															| (894) all_0_95_95 = e4
% 44.34/14.32  																															|
% 44.34/14.32  																																| Equations (894) can reduce 315 to:
% 44.34/14.32  																																| (311) $false
% 44.34/14.32  																																|
% 44.34/14.32  																																|-The branch is then unsatisfiable
% 44.34/14.32  																									|-Branch two:
% 44.34/14.32  																									| (793)  ~ (all_0_82_82 = e3)
% 44.34/14.32  																									| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.34/14.32  																									|
% 44.34/14.32  																										+-Applying beta-rule and splitting (171), into two cases.
% 44.34/14.32  																										|-Branch one:
% 44.34/14.32  																										| (789) all_0_82_82 = e3
% 44.34/14.32  																										|
% 44.34/14.32  																											| Equations (789) can reduce 793 to:
% 44.34/14.32  																											| (311) $false
% 44.34/14.32  																											|
% 44.34/14.32  																											|-The branch is then unsatisfiable
% 44.34/14.32  																										|-Branch two:
% 44.34/14.32  																										| (793)  ~ (all_0_82_82 = e3)
% 44.34/14.32  																										| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.34/14.32  																										|
% 44.34/14.32  																											+-Applying beta-rule and splitting (1296), into two cases.
% 44.34/14.32  																											|-Branch one:
% 44.34/14.32  																											| (795) all_0_83_83 = e3
% 44.34/14.32  																											|
% 44.34/14.32  																												| Combining equations (453,795) yields a new equation:
% 44.34/14.32  																												| (548) e3 = e2
% 44.34/14.32  																												|
% 44.34/14.32  																												| Equations (548) can reduce 169 to:
% 44.34/14.32  																												| (311) $false
% 44.34/14.32  																												|
% 44.34/14.32  																												|-The branch is then unsatisfiable
% 44.34/14.32  																											|-Branch two:
% 44.34/14.32  																											| (779)  ~ (all_0_83_83 = e3)
% 44.34/14.32  																											| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.34/14.32  																											|
% 44.34/14.32  																												+-Applying beta-rule and splitting (1594), into two cases.
% 44.34/14.32  																												|-Branch one:
% 44.34/14.32  																												| (1265) all_0_84_84 = e3
% 44.34/14.32  																												|
% 44.34/14.32  																													| Combining equations (438,1265) yields a new equation:
% 44.34/14.32  																													| (790) e4 = e3
% 44.34/14.32  																													|
% 44.34/14.32  																													| Simplifying 790 yields:
% 44.34/14.32  																													| (434) e4 = e3
% 44.34/14.32  																													|
% 44.34/14.32  																													| Equations (434) can reduce 177 to:
% 44.34/14.32  																													| (311) $false
% 44.34/14.32  																													|
% 44.34/14.32  																													|-The branch is then unsatisfiable
% 44.34/14.32  																												|-Branch two:
% 44.34/14.32  																												| (422)  ~ (all_0_84_84 = e3)
% 44.34/14.32  																												| (804) all_0_85_85 = e3
% 44.34/14.32  																												|
% 44.34/14.32  																													| Combining equations (804,954) yields a new equation:
% 44.34/14.32  																													| (599) e3 = e0
% 44.34/14.32  																													|
% 44.34/14.32  																													| Simplifying 599 yields:
% 44.34/14.32  																													| (600) e3 = e0
% 44.34/14.32  																													|
% 44.34/14.32  																													| Equations (600) can reduce 50 to:
% 44.34/14.32  																													| (311) $false
% 44.34/14.32  																													|
% 44.34/14.32  																													|-The branch is then unsatisfiable
% 44.34/14.32  																								|-Branch two:
% 44.34/14.32  																								| (417)  ~ (all_0_84_84 = e4)
% 44.34/14.32  																								| (493) all_0_85_85 = e4
% 44.34/14.32  																								|
% 44.34/14.32  																									| Combining equations (493,954) yields a new equation:
% 44.34/14.32  																									| (911) e4 = e0
% 44.34/14.32  																									|
% 44.34/14.32  																									| Simplifying 911 yields:
% 44.34/14.32  																									| (912) e4 = e0
% 44.34/14.32  																									|
% 44.34/14.32  																									| Equations (912) can reduce 23 to:
% 44.34/14.32  																									| (311) $false
% 44.34/14.32  																									|
% 44.34/14.32  																									|-The branch is then unsatisfiable
% 44.34/14.32  																|-Branch two:
% 44.34/14.32  																| (527)  ~ (all_0_97_97 = e2)
% 44.34/14.32  																| (525) all_0_98_98 = e2
% 44.34/14.32  																|
% 44.34/14.32  																	| Equations (525) can reduce 1349 to:
% 44.34/14.32  																	| (311) $false
% 44.34/14.32  																	|
% 44.34/14.32  																	|-The branch is then unsatisfiable
% 44.34/14.32  												|-Branch two:
% 44.34/14.32  												| (346)  ~ (all_0_78_78 = e2)
% 44.34/14.32  												| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 44.34/14.32  												|
% 44.34/14.32  													+-Applying beta-rule and splitting (1658), into two cases.
% 44.34/14.32  													|-Branch one:
% 44.34/14.32  													| (390) all_0_79_79 = e2
% 44.34/14.32  													|
% 44.34/14.32  														| Equations (390) can reduce 1622 to:
% 44.34/14.32  														| (311) $false
% 44.34/14.32  														|
% 44.34/14.32  														|-The branch is then unsatisfiable
% 44.34/14.32  													|-Branch two:
% 44.34/14.32  													| (1622)  ~ (all_0_79_79 = e2)
% 44.34/14.32  													| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 44.34/14.32  													|
% 44.34/14.32  														+-Applying beta-rule and splitting (3249), into two cases.
% 44.34/14.32  														|-Branch one:
% 44.34/14.32  														| (546) all_0_80_80 = e2
% 44.34/14.32  														|
% 44.34/14.32  															| Equations (546) can reduce 67 to:
% 44.34/14.32  															| (346)  ~ (all_0_78_78 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Equations (546) can reduce 144 to:
% 44.34/14.32  															| (395)  ~ (all_0_81_81 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Simplifying 395 yields:
% 44.34/14.32  															| (396)  ~ (all_0_81_81 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Equations (546) can reduce 273 to:
% 44.34/14.32  															| (1631)  ~ (all_0_84_84 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Simplifying 1631 yields:
% 44.34/14.32  															| (612)  ~ (all_0_84_84 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Equations (546) can reduce 202 to:
% 44.34/14.32  															| (2376)  ~ (all_0_97_97 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Simplifying 2376 yields:
% 44.34/14.32  															| (527)  ~ (all_0_97_97 = e2)
% 44.34/14.32  															|
% 44.34/14.32  															| Equations (546) can reduce 166 to:
% 44.34/14.32  															| (76)  ~ (e2 = e0)
% 44.34/14.32  															|
% 44.34/14.32  															| From (546) and (233) follows:
% 44.34/14.32  															| (3296) op(e1, e2) = all_0_60_60
% 44.34/14.32  															|
% 44.34/14.32  															+-Applying beta-rule and splitting (70), into two cases.
% 44.34/14.32  															|-Branch one:
% 44.34/14.32  															| (400) all_0_78_78 = e2
% 44.34/14.32  															|
% 44.34/14.32  																| Equations (400) can reduce 346 to:
% 44.34/14.32  																| (311) $false
% 44.34/14.32  																|
% 44.34/14.32  																|-The branch is then unsatisfiable
% 44.34/14.32  															|-Branch two:
% 44.34/14.32  															| (346)  ~ (all_0_78_78 = e2)
% 44.34/14.32  															| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 44.34/14.32  															|
% 44.34/14.32  																+-Applying beta-rule and splitting (97), into two cases.
% 44.34/14.32  																|-Branch one:
% 44.39/14.32  																| (1757) all_0_94_94 = e2
% 44.39/14.32  																|
% 44.39/14.32  																	| Combining equations (1757,313) yields a new equation:
% 44.39/14.32  																	| (310) e4 = e2
% 44.39/14.32  																	|
% 44.39/14.32  																	| Equations (310) can reduce 79 to:
% 44.39/14.32  																	| (311) $false
% 44.39/14.32  																	|
% 44.39/14.32  																	|-The branch is then unsatisfiable
% 44.39/14.32  																|-Branch two:
% 44.39/14.32  																| (1761)  ~ (all_0_94_94 = e2)
% 44.39/14.32  																| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.39/14.32  																|
% 44.39/14.32  																	+-Applying beta-rule and splitting (403), into two cases.
% 44.39/14.32  																	|-Branch one:
% 44.39/14.32  																	| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 44.39/14.32  																	|
% 44.39/14.32  																		+-Applying beta-rule and splitting (404), into two cases.
% 44.39/14.32  																		|-Branch one:
% 44.39/14.32  																		| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 44.39/14.32  																		|
% 44.39/14.32  																			| Applying alpha-rule on (405) yields:
% 44.39/14.32  																			| (406) all_0_39_39 = e1
% 44.39/14.32  																			| (407)  ~ (all_0_40_40 = e4)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Combining equations (406,331) yields a new equation:
% 44.39/14.32  																			| (457) all_0_79_79 = e1
% 44.39/14.32  																			|
% 44.39/14.32  																			| Equations (457) can reduce 66 to:
% 44.39/14.32  																			| (1601)  ~ (all_0_78_78 = e1)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Equations (457) can reduce 17 to:
% 44.39/14.32  																			| (1669)  ~ (all_0_91_91 = e1)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Simplifying 1669 yields:
% 44.39/14.32  																			| (959)  ~ (all_0_91_91 = e1)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Equations (457) can reduce 214 to:
% 44.39/14.32  																			| (1671)  ~ (all_0_96_96 = e1)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Simplifying 1671 yields:
% 44.39/14.32  																			| (1479)  ~ (all_0_96_96 = e1)
% 44.39/14.32  																			|
% 44.39/14.32  																			| Equations (457) can reduce 9 to:
% 44.39/14.32  																			| (264)  ~ (e1 = e0)
% 44.39/14.32  																			|
% 44.39/14.32  																			| From (457) and (184) follows:
% 44.39/14.32  																			| (1679) op(e2, e1) = all_0_52_52
% 44.39/14.32  																			|
% 44.39/14.32  																			+-Applying beta-rule and splitting (1762), into two cases.
% 44.39/14.32  																			|-Branch one:
% 44.39/14.32  																			| (767) all_0_95_95 = e2
% 44.39/14.32  																			|
% 44.39/14.32  																				| Equations (767) can reduce 125 to:
% 44.39/14.32  																				| (346)  ~ (all_0_78_78 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 200 to:
% 44.39/14.32  																				| (347)  ~ (all_0_82_82 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 279 to:
% 44.39/14.32  																				| (1637)  ~ (all_0_96_96 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Simplifying 1637 yields:
% 44.39/14.32  																				| (1638)  ~ (all_0_96_96 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 105 to:
% 44.39/14.32  																				| (2376)  ~ (all_0_97_97 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Simplifying 2376 yields:
% 44.39/14.32  																				| (527)  ~ (all_0_97_97 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 107 to:
% 44.39/14.32  																				| (1348)  ~ (all_0_98_98 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Simplifying 1348 yields:
% 44.39/14.32  																				| (1349)  ~ (all_0_98_98 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 315 to:
% 44.39/14.32  																				| (528)  ~ (e4 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Simplifying 528 yields:
% 44.39/14.32  																				| (79)  ~ (e4 = e2)
% 44.39/14.32  																				|
% 44.39/14.32  																				| Equations (767) can reduce 680 to:
% 44.39/14.32  																				| (243)  ~ (e2 = e1)
% 44.39/14.32  																				|
% 44.39/14.32  																				| From (767) and (121) follows:
% 44.39/14.32  																				| (13435) op(e3, e2) = all_0_50_50
% 44.39/14.32  																				|
% 44.39/14.32  																				| Instantiating formula (262) with e3, e2, all_0_50_50, e2 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = e2, yields:
% 44.39/14.33  																				| (13437) all_0_50_50 = e2
% 44.39/14.33  																				|
% 44.39/14.33  																				| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 44.39/14.33  																				| (11070) all_0_52_52 = e0
% 44.39/14.33  																				|
% 44.39/14.33  																				| Instantiating formula (262) with e1, e2, all_0_60_60, all_0_91_91 and discharging atoms op(e1, e2) = all_0_60_60, op(e1, e2) = all_0_91_91, yields:
% 44.39/14.33  																				| (3332) all_0_60_60 = all_0_91_91
% 44.39/14.33  																				|
% 44.39/14.33  																				+-Applying beta-rule and splitting (33), into two cases.
% 44.39/14.33  																				|-Branch one:
% 44.39/14.33  																				| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.39/14.33  																				|
% 44.39/14.33  																					+-Applying beta-rule and splitting (1686), into two cases.
% 44.39/14.33  																					|-Branch one:
% 44.39/14.33  																					| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.39/14.33  																					|
% 44.39/14.33  																						+-Applying beta-rule and splitting (1687), into two cases.
% 44.39/14.33  																						|-Branch one:
% 44.39/14.33  																						| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.39/14.33  																						|
% 44.39/14.33  																							| Applying alpha-rule on (1688) yields:
% 44.39/14.33  																							| (1689) all_0_52_52 = e4
% 44.39/14.33  																							| (1690)  ~ (all_0_53_53 = e2)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Combining equations (1689,11070) yields a new equation:
% 44.39/14.33  																							| (911) e4 = e0
% 44.39/14.33  																							|
% 44.39/14.33  																							| Simplifying 911 yields:
% 44.39/14.33  																							| (912) e4 = e0
% 44.39/14.33  																							|
% 44.39/14.33  																							| Equations (912) can reduce 23 to:
% 44.39/14.33  																							| (311) $false
% 44.39/14.33  																							|
% 44.39/14.33  																							|-The branch is then unsatisfiable
% 44.39/14.33  																						|-Branch two:
% 44.39/14.33  																						| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.39/14.33  																						|
% 44.39/14.33  																							| Applying alpha-rule on (1694) yields:
% 44.39/14.33  																							| (1695) all_0_54_54 = e3
% 44.39/14.33  																							| (1696)  ~ (all_0_55_55 = e2)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Combining equations (1647,1695) yields a new equation:
% 44.39/14.33  																							| (790) e4 = e3
% 44.39/14.33  																							|
% 44.39/14.33  																							| Simplifying 790 yields:
% 44.39/14.33  																							| (434) e4 = e3
% 44.39/14.33  																							|
% 44.39/14.33  																							| Equations (434) can reduce 177 to:
% 44.39/14.33  																							| (311) $false
% 44.39/14.33  																							|
% 44.39/14.33  																							|-The branch is then unsatisfiable
% 44.39/14.33  																					|-Branch two:
% 44.39/14.33  																					| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.39/14.33  																					|
% 44.39/14.33  																						| Applying alpha-rule on (1700) yields:
% 44.39/14.33  																						| (1701) all_0_56_56 = e1
% 44.39/14.33  																						| (1702)  ~ (all_0_57_57 = e2)
% 44.39/14.33  																						|
% 44.39/14.33  																						| From (1701) and (222) follows:
% 44.39/14.33  																						| (1703) op(e2, all_0_91_91) = e1
% 44.39/14.33  																						|
% 44.39/14.33  																						+-Applying beta-rule and splitting (56), into two cases.
% 44.39/14.33  																						|-Branch one:
% 44.39/14.33  																						| (463) all_0_78_78 = e4
% 44.39/14.33  																						|
% 44.39/14.33  																							| Equations (463) can reduce 278 to:
% 44.39/14.33  																							| (1730)  ~ (all_0_81_81 = e4)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Simplifying 1730 yields:
% 44.39/14.33  																							| (634)  ~ (all_0_81_81 = e4)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Equations (463) can reduce 193 to:
% 44.39/14.33  																							| (464)  ~ (all_0_82_82 = e4)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Simplifying 464 yields:
% 44.39/14.33  																							| (465)  ~ (all_0_82_82 = e4)
% 44.39/14.33  																							|
% 44.39/14.33  																							| Equations (463) can reduce 1601 to:
% 44.39/14.33  																							| (256)  ~ (e4 = e1)
% 44.39/14.33  																							|
% 44.39/14.33  																							| From (463) and (138) follows:
% 44.39/14.33  																							| (12255) op(e3, e4) = all_0_43_43
% 44.39/14.33  																							|
% 44.39/14.33  																							+-Applying beta-rule and splitting (106), into two cases.
% 44.39/14.33  																							|-Branch one:
% 44.39/14.33  																							| (771) all_0_78_78 = e3
% 44.39/14.33  																							|
% 44.39/14.33  																								| Combining equations (463,771) yields a new equation:
% 44.39/14.33  																								| (790) e4 = e3
% 44.39/14.33  																								|
% 44.39/14.33  																								| Simplifying 790 yields:
% 44.39/14.33  																								| (434) e4 = e3
% 44.39/14.33  																								|
% 44.39/14.33  																								| Equations (434) can reduce 177 to:
% 44.39/14.33  																								| (311) $false
% 44.39/14.33  																								|
% 44.39/14.33  																								|-The branch is then unsatisfiable
% 44.39/14.33  																							|-Branch two:
% 44.39/14.33  																							| (418)  ~ (all_0_78_78 = e3)
% 44.39/14.33  																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.39/14.33  																							|
% 44.39/14.33  																								+-Applying beta-rule and splitting (123), into two cases.
% 44.39/14.33  																								|-Branch one:
% 44.39/14.33  																								| (473) all_0_81_81 = e2
% 44.39/14.33  																								|
% 44.39/14.33  																									| Equations (473) can reduce 396 to:
% 44.39/14.33  																									| (311) $false
% 44.39/14.33  																									|
% 44.39/14.33  																									|-The branch is then unsatisfiable
% 44.39/14.33  																								|-Branch two:
% 44.39/14.33  																								| (396)  ~ (all_0_81_81 = e2)
% 44.39/14.33  																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.39/14.33  																								|
% 44.39/14.33  																									+-Applying beta-rule and splitting (1756), into two cases.
% 44.39/14.33  																									|-Branch one:
% 44.39/14.33  																									| (1708) all_0_79_79 = e3
% 44.39/14.33  																									|
% 44.39/14.33  																										| Combining equations (457,1708) yields a new equation:
% 44.39/14.33  																										| (772) e3 = e1
% 44.39/14.33  																										|
% 44.39/14.33  																										| Equations (772) can reduce 20 to:
% 44.39/14.33  																										| (311) $false
% 44.39/14.33  																										|
% 44.39/14.33  																										|-The branch is then unsatisfiable
% 44.39/14.33  																									|-Branch two:
% 44.39/14.33  																									| (1711)  ~ (all_0_79_79 = e3)
% 44.39/14.33  																									| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.39/14.33  																									|
% 44.39/14.33  																										+-Applying beta-rule and splitting (1768), into two cases.
% 44.39/14.33  																										|-Branch one:
% 44.39/14.33  																										| (416) all_0_80_80 = e3
% 44.39/14.33  																										|
% 44.39/14.33  																											| Combining equations (546,416) yields a new equation:
% 44.39/14.33  																											| (548) e3 = e2
% 44.39/14.33  																											|
% 44.39/14.33  																											| Equations (548) can reduce 169 to:
% 44.39/14.33  																											| (311) $false
% 44.39/14.33  																											|
% 44.39/14.33  																											|-The branch is then unsatisfiable
% 44.39/14.33  																										|-Branch two:
% 44.39/14.33  																										| (2347)  ~ (all_0_80_80 = e3)
% 44.39/14.33  																										| (635) all_0_81_81 = e3
% 44.39/14.33  																										|
% 44.39/14.33  																											| Equations (635) can reduce 118 to:
% 44.39/14.33  																											| (2358)  ~ (all_0_85_85 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Simplifying 2358 yields:
% 44.39/14.33  																											| (952)  ~ (all_0_85_85 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Equations (635) can reduce 5 to:
% 44.39/14.33  																											| (1518)  ~ (all_0_98_98 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Simplifying 1518 yields:
% 44.39/14.33  																											| (1519)  ~ (all_0_98_98 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Equations (635) can reduce 634 to:
% 44.39/14.33  																											| (783)  ~ (e4 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Simplifying 783 yields:
% 44.39/14.33  																											| (177)  ~ (e4 = e3)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Equations (635) can reduce 396 to:
% 44.39/14.33  																											| (169)  ~ (e3 = e2)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Equations (635) can reduce 257 to:
% 44.39/14.33  																											| (50)  ~ (e3 = e0)
% 44.39/14.33  																											|
% 44.39/14.33  																											| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 44.39/14.33  																											| (12276) all_0_43_43 = e1
% 44.39/14.33  																											|
% 44.39/14.33  																											+-Applying beta-rule and splitting (186), into two cases.
% 44.39/14.33  																											|-Branch one:
% 44.39/14.33  																											| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 44.39/14.33  																											|
% 44.39/14.33  																												+-Applying beta-rule and splitting (726), into two cases.
% 44.39/14.33  																												|-Branch one:
% 44.39/14.33  																												| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 44.39/14.33  																												|
% 44.39/14.33  																													+-Applying beta-rule and splitting (727), into two cases.
% 44.39/14.33  																													|-Branch one:
% 44.39/14.33  																													| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 44.39/14.33  																													|
% 44.39/14.33  																														| Applying alpha-rule on (728) yields:
% 44.39/14.33  																														| (729) all_0_43_43 = e4
% 44.39/14.33  																														| (730)  ~ (all_0_44_44 = e3)
% 44.39/14.33  																														|
% 44.39/14.33  																														| Combining equations (729,12276) yields a new equation:
% 44.39/14.33  																														| (813) e4 = e1
% 44.39/14.33  																														|
% 44.39/14.33  																														| Simplifying 813 yields:
% 44.39/14.33  																														| (814) e4 = e1
% 44.39/14.33  																														|
% 44.39/14.33  																														| Equations (814) can reduce 256 to:
% 44.39/14.33  																														| (311) $false
% 44.39/14.33  																														|
% 44.39/14.33  																														|-The branch is then unsatisfiable
% 44.39/14.33  																													|-Branch two:
% 44.39/14.33  																													| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 44.39/14.33  																													|
% 44.39/14.33  																														| Applying alpha-rule on (734) yields:
% 44.39/14.33  																														| (735) all_0_46_46 = e2
% 44.39/14.33  																														| (736)  ~ (all_0_47_47 = e3)
% 44.39/14.33  																														|
% 44.39/14.33  																														| Combining equations (735,13664) yields a new equation:
% 44.39/14.33  																														| (552) all_0_84_84 = e2
% 44.39/14.33  																														|
% 44.39/14.33  																														| Equations (552) can reduce 612 to:
% 44.39/14.33  																														| (311) $false
% 44.39/14.33  																														|
% 44.39/14.33  																														|-The branch is then unsatisfiable
% 44.39/14.33  																												|-Branch two:
% 44.39/14.33  																												| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 44.39/14.33  																												|
% 44.39/14.33  																													| Applying alpha-rule on (740) yields:
% 44.39/14.33  																													| (741) all_0_48_48 = e1
% 44.39/14.33  																													| (742)  ~ (all_0_49_49 = e3)
% 44.39/14.33  																													|
% 44.39/14.33  																													| From (741) and (217) follows:
% 44.39/14.33  																													| (743) op(e3, all_0_90_90) = e1
% 44.39/14.33  																													|
% 44.39/14.33  																													+-Applying beta-rule and splitting (109), into two cases.
% 44.39/14.33  																													|-Branch one:
% 44.39/14.33  																													| (469) all_0_82_82 = e4
% 44.39/14.33  																													|
% 44.39/14.33  																														| Equations (469) can reduce 465 to:
% 44.39/14.33  																														| (311) $false
% 44.39/14.33  																														|
% 44.39/14.33  																														|-The branch is then unsatisfiable
% 44.39/14.33  																													|-Branch two:
% 44.39/14.33  																													| (465)  ~ (all_0_82_82 = e4)
% 44.39/14.33  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.39/14.33  																													|
% 44.39/14.33  																														+-Applying beta-rule and splitting (182), into two cases.
% 44.39/14.33  																														|-Branch one:
% 44.39/14.33  																														| (512) all_0_85_85 = e2
% 44.39/14.33  																														|
% 44.39/14.33  																															| Equations (512) can reduce 515 to:
% 44.39/14.33  																															| (311) $false
% 44.39/14.33  																															|
% 44.39/14.33  																															|-The branch is then unsatisfiable
% 44.39/14.33  																														|-Branch two:
% 44.39/14.33  																														| (515)  ~ (all_0_85_85 = e2)
% 44.39/14.33  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.39/14.33  																														|
% 44.39/14.33  																															+-Applying beta-rule and splitting (102), into two cases.
% 44.39/14.33  																															|-Branch one:
% 44.39/14.33  																															| (858) all_0_95_95 = e0
% 44.39/14.33  																															|
% 44.39/14.33  																																| Combining equations (858,767) yields a new equation:
% 44.39/14.33  																																| (379) e2 = e0
% 44.39/14.33  																																|
% 44.39/14.33  																																| Equations (379) can reduce 76 to:
% 44.39/14.33  																																| (311) $false
% 44.39/14.33  																																|
% 44.39/14.33  																																|-The branch is then unsatisfiable
% 44.39/14.33  																															|-Branch two:
% 44.39/14.33  																															| (893)  ~ (all_0_95_95 = e0)
% 44.39/14.33  																															| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.39/14.33  																															|
% 44.39/14.33  																																| Equations (767) can reduce 893 to:
% 44.39/14.33  																																| (76)  ~ (e2 = e0)
% 44.39/14.33  																																|
% 44.39/14.33  																																+-Applying beta-rule and splitting (151), into two cases.
% 44.39/14.33  																																|-Branch one:
% 44.39/14.33  																																| (824) all_0_80_80 = e1
% 44.39/14.33  																																|
% 44.39/14.33  																																	| Combining equations (546,824) yields a new equation:
% 44.39/14.33  																																	| (408) e2 = e1
% 44.39/14.33  																																	|
% 44.39/14.33  																																	| Simplifying 408 yields:
% 44.39/14.33  																																	| (385) e2 = e1
% 44.39/14.33  																																	|
% 44.39/14.33  																																	| Equations (385) can reduce 243 to:
% 44.39/14.33  																																	| (311) $false
% 44.39/14.33  																																	|
% 44.39/14.33  																																	|-The branch is then unsatisfiable
% 44.39/14.33  																																|-Branch two:
% 44.39/14.33  																																| (828)  ~ (all_0_80_80 = e1)
% 44.39/14.33  																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.39/14.33  																																|
% 44.39/14.33  																																	| Equations (546) can reduce 828 to:
% 44.39/14.33  																																	| (243)  ~ (e2 = e1)
% 44.39/14.33  																																	|
% 44.39/14.33  																																	+-Applying beta-rule and splitting (171), into two cases.
% 44.39/14.33  																																	|-Branch one:
% 44.39/14.33  																																	| (789) all_0_82_82 = e3
% 44.39/14.33  																																	|
% 44.39/14.33  																																		| Equations (789) can reduce 7 to:
% 44.39/14.33  																																		| (421)  ~ (all_0_84_84 = e3)
% 44.39/14.33  																																		|
% 44.39/14.33  																																		| Simplifying 421 yields:
% 44.39/14.33  																																		| (422)  ~ (all_0_84_84 = e3)
% 44.39/14.33  																																		|
% 44.39/14.33  																																		| Equations (789) can reduce 198 to:
% 44.39/14.33  																																		| (20)  ~ (e3 = e1)
% 44.39/14.33  																																		|
% 44.39/14.33  																																		+-Applying beta-rule and splitting (249), into two cases.
% 44.39/14.33  																																		|-Branch one:
% 44.39/14.33  																																		| (910) all_0_82_82 = e0
% 44.39/14.33  																																		|
% 44.39/14.33  																																			| Combining equations (789,910) yields a new equation:
% 44.39/14.33  																																			| (599) e3 = e0
% 44.39/14.33  																																			|
% 44.39/14.33  																																			| Simplifying 599 yields:
% 44.39/14.33  																																			| (600) e3 = e0
% 44.39/14.33  																																			|
% 44.39/14.33  																																			| Equations (600) can reduce 50 to:
% 44.39/14.33  																																			| (311) $false
% 44.39/14.33  																																			|
% 44.39/14.33  																																			|-The branch is then unsatisfiable
% 44.39/14.33  																																		|-Branch two:
% 44.39/14.33  																																		| (914)  ~ (all_0_82_82 = e0)
% 44.39/14.33  																																		| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 44.39/14.33  																																		|
% 44.39/14.33  																																			| Equations (789) can reduce 914 to:
% 44.39/14.33  																																			| (50)  ~ (e3 = e0)
% 44.39/14.33  																																			|
% 44.39/14.33  																																			+-Applying beta-rule and splitting (254), into two cases.
% 44.39/14.33  																																			|-Branch one:
% 44.39/14.33  																																			| (910) all_0_82_82 = e0
% 44.39/14.33  																																			|
% 44.39/14.33  																																				| Combining equations (789,910) yields a new equation:
% 44.39/14.33  																																				| (599) e3 = e0
% 44.39/14.33  																																				|
% 44.39/14.33  																																				| Simplifying 599 yields:
% 44.39/14.33  																																				| (600) e3 = e0
% 44.39/14.33  																																				|
% 44.39/14.33  																																				| Equations (600) can reduce 50 to:
% 44.39/14.33  																																				| (311) $false
% 44.39/14.33  																																				|
% 44.39/14.33  																																				|-The branch is then unsatisfiable
% 44.39/14.33  																																			|-Branch two:
% 44.39/14.33  																																			| (914)  ~ (all_0_82_82 = e0)
% 44.39/14.33  																																			| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.39/14.33  																																			|
% 44.39/14.33  																																				+-Applying beta-rule and splitting (1309), into two cases.
% 44.39/14.33  																																				|-Branch one:
% 44.39/14.33  																																				| (798) all_0_83_83 = e0
% 44.39/14.33  																																				|
% 44.39/14.33  																																					| Combining equations (453,798) yields a new equation:
% 44.39/14.33  																																					| (923) e2 = e0
% 44.39/14.33  																																					|
% 44.39/14.33  																																					| Simplifying 923 yields:
% 44.39/14.33  																																					| (379) e2 = e0
% 44.39/14.33  																																					|
% 44.39/14.33  																																					| Equations (379) can reduce 76 to:
% 44.39/14.33  																																					| (311) $false
% 44.39/14.33  																																					|
% 44.39/14.33  																																					|-The branch is then unsatisfiable
% 44.39/14.33  																																				|-Branch two:
% 44.39/14.33  																																				| (1314)  ~ (all_0_83_83 = e0)
% 44.39/14.33  																																				| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.39/14.33  																																				|
% 44.39/14.33  																																					+-Applying beta-rule and splitting (915), into two cases.
% 44.39/14.33  																																					|-Branch one:
% 44.39/14.33  																																					| (378) all_0_86_86 = e0
% 44.39/14.33  																																					|
% 44.39/14.33  																																						| Combining equations (384,378) yields a new equation:
% 44.39/14.33  																																						| (1107) e1 = e0
% 44.39/14.33  																																						|
% 44.39/14.33  																																						| Simplifying 1107 yields:
% 44.39/14.33  																																						| (865) e1 = e0
% 44.39/14.33  																																						|
% 44.39/14.33  																																						| Equations (865) can reduce 264 to:
% 44.39/14.33  																																						| (311) $false
% 44.39/14.33  																																						|
% 44.39/14.33  																																						|-The branch is then unsatisfiable
% 44.39/14.33  																																					|-Branch two:
% 44.39/14.33  																																					| (381)  ~ (all_0_86_86 = e0)
% 44.39/14.33  																																					| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.39/14.33  																																					|
% 44.39/14.33  																																						+-Applying beta-rule and splitting (1315), into two cases.
% 44.39/14.33  																																						|-Branch one:
% 44.39/14.33  																																						| (916) all_0_84_84 = e0
% 44.39/14.33  																																						|
% 44.39/14.33  																																							| Equations (916) can reduce 919 to:
% 44.39/14.33  																																							| (311) $false
% 44.39/14.33  																																							|
% 44.39/14.33  																																							|-The branch is then unsatisfiable
% 44.39/14.33  																																						|-Branch two:
% 44.39/14.33  																																						| (919)  ~ (all_0_84_84 = e0)
% 44.39/14.33  																																						| (954) all_0_85_85 = e0
% 44.39/14.33  																																						|
% 44.39/14.33  																																							| Equations (954) can reduce 154 to:
% 44.39/14.33  																																							| (919)  ~ (all_0_84_84 = e0)
% 44.39/14.33  																																							|
% 44.39/14.33  																																							| Equations (954) can reduce 515 to:
% 44.39/14.33  																																							| (510)  ~ (e2 = e0)
% 44.39/14.33  																																							|
% 44.39/14.33  																																							| Simplifying 510 yields:
% 44.39/14.33  																																							| (76)  ~ (e2 = e0)
% 44.39/14.33  																																							|
% 44.39/14.33  																																							| From (954) and (197) follows:
% 44.39/14.33  																																							| (10073) op(e3, e0) = all_0_72_72
% 44.39/14.33  																																							|
% 44.39/14.33  																																							| From (954) and (8) follows:
% 44.39/14.33  																																							| (1093) op(e3, e0) = e0
% 44.39/14.33  																																							|
% 44.39/14.33  																																							+-Applying beta-rule and splitting (92), into two cases.
% 44.39/14.33  																																							|-Branch one:
% 44.39/14.33  																																							| (552) all_0_84_84 = e2
% 44.39/14.34  																																							|
% 44.39/14.34  																																								| Equations (552) can reduce 612 to:
% 44.39/14.34  																																								| (311) $false
% 44.39/14.34  																																								|
% 44.39/14.34  																																								|-The branch is then unsatisfiable
% 44.39/14.34  																																							|-Branch two:
% 44.39/14.34  																																							| (612)  ~ (all_0_84_84 = e2)
% 44.39/14.34  																																							| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.39/14.34  																																							|
% 44.39/14.34  																																								+-Applying beta-rule and splitting (927), into two cases.
% 44.39/14.34  																																								|-Branch one:
% 44.39/14.34  																																								| (758) all_0_90_90 = e0
% 44.39/14.34  																																								|
% 44.39/14.34  																																									| Equations (758) can reduce 103 to:
% 44.39/14.34  																																									| (1830)  ~ (all_0_91_91 = e0)
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| Simplifying 1830 yields:
% 44.39/14.34  																																									| (1487)  ~ (all_0_91_91 = e0)
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| Equations (758) can reduce 72 to:
% 44.39/14.34  																																									| (2299)  ~ (all_0_92_92 = e0)
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| Simplifying 2299 yields:
% 44.39/14.34  																																									| (946)  ~ (all_0_92_92 = e0)
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| From (758) and (743) follows:
% 44.39/14.34  																																									| (759) op(e3, e0) = e1
% 44.39/14.34  																																									|
% 44.39/14.34  																																									+-Applying beta-rule and splitting (617), into two cases.
% 44.39/14.34  																																									|-Branch one:
% 44.39/14.34  																																									| (1265) all_0_84_84 = e3
% 44.39/14.34  																																									|
% 44.39/14.34  																																										| Equations (1265) can reduce 422 to:
% 44.39/14.34  																																										| (311) $false
% 44.39/14.34  																																										|
% 44.39/14.34  																																										|-The branch is then unsatisfiable
% 44.39/14.34  																																									|-Branch two:
% 44.39/14.34  																																									| (422)  ~ (all_0_84_84 = e3)
% 44.39/14.34  																																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.39/14.34  																																									|
% 44.39/14.34  																																										+-Applying beta-rule and splitting (1268), into two cases.
% 44.39/14.34  																																										|-Branch one:
% 44.39/14.34  																																										| (916) all_0_84_84 = e0
% 44.39/14.34  																																										|
% 44.39/14.34  																																											| Equations (916) can reduce 919 to:
% 44.39/14.34  																																											| (311) $false
% 44.39/14.34  																																											|
% 44.39/14.34  																																											|-The branch is then unsatisfiable
% 44.39/14.34  																																										|-Branch two:
% 44.39/14.34  																																										| (919)  ~ (all_0_84_84 = e0)
% 44.39/14.34  																																										| (438) all_0_84_84 = e4
% 44.39/14.34  																																										|
% 44.39/14.34  																																											| Equations (438) can reduce 87 to:
% 44.39/14.34  																																											| (1906)  ~ (all_0_92_92 = e4)
% 44.39/14.34  																																											|
% 44.39/14.34  																																											| Simplifying 1906 yields:
% 44.39/14.34  																																											| (1619)  ~ (all_0_92_92 = e4)
% 44.39/14.34  																																											|
% 44.39/14.34  																																											| Equations (438) can reduce 612 to:
% 44.39/14.34  																																											| (79)  ~ (e4 = e2)
% 44.39/14.34  																																											|
% 44.39/14.34  																																											| Equations (438) can reduce 259 to:
% 44.39/14.34  																																											| (256)  ~ (e4 = e1)
% 44.39/14.34  																																											|
% 44.39/14.34  																																											| Equations (438) can reduce 919 to:
% 44.39/14.34  																																											| (23)  ~ (e4 = e0)
% 44.39/14.34  																																											|
% 44.39/14.34  																																											+-Applying beta-rule and splitting (46), into two cases.
% 44.39/14.34  																																											|-Branch one:
% 44.39/14.34  																																											| (308) all_0_89_89 = e4
% 44.39/14.34  																																											|
% 44.39/14.34  																																												| Combining equations (292,308) yields a new equation:
% 44.39/14.34  																																												| (310) e4 = e2
% 44.39/14.34  																																												|
% 44.39/14.34  																																												| Equations (310) can reduce 79 to:
% 44.39/14.34  																																												| (311) $false
% 44.39/14.34  																																												|
% 44.39/14.34  																																												|-The branch is then unsatisfiable
% 44.39/14.34  																																											|-Branch two:
% 44.39/14.34  																																											| (312)  ~ (all_0_89_89 = e4)
% 44.39/14.34  																																											| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.39/14.34  																																											|
% 44.39/14.34  																																												+-Applying beta-rule and splitting (48), into two cases.
% 44.39/14.34  																																												|-Branch one:
% 44.39/14.34  																																												| (525) all_0_98_98 = e2
% 44.39/14.34  																																												|
% 44.39/14.34  																																													| Equations (525) can reduce 1349 to:
% 44.39/14.34  																																													| (311) $false
% 44.39/14.34  																																													|
% 44.39/14.34  																																													|-The branch is then unsatisfiable
% 44.39/14.34  																																												|-Branch two:
% 44.39/14.34  																																												| (1349)  ~ (all_0_98_98 = e2)
% 44.39/14.34  																																												| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.39/14.34  																																												|
% 44.39/14.34  																																													+-Applying beta-rule and splitting (1915), into two cases.
% 44.39/14.34  																																													|-Branch one:
% 44.39/14.34  																																													| (583) all_0_90_90 = e4
% 44.39/14.34  																																													|
% 44.39/14.34  																																														| Combining equations (583,758) yields a new equation:
% 44.39/14.34  																																														| (911) e4 = e0
% 44.39/14.34  																																														|
% 44.39/14.34  																																														| Simplifying 911 yields:
% 44.39/14.34  																																														| (912) e4 = e0
% 44.39/14.34  																																														|
% 44.39/14.34  																																														| Equations (912) can reduce 23 to:
% 44.39/14.34  																																														| (311) $false
% 44.39/14.34  																																														|
% 44.39/14.34  																																														|-The branch is then unsatisfiable
% 44.39/14.34  																																													|-Branch two:
% 44.39/14.34  																																													| (467)  ~ (all_0_90_90 = e4)
% 44.39/14.34  																																													| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.39/14.34  																																													|
% 44.39/14.34  																																														+-Applying beta-rule and splitting (1928), into two cases.
% 44.39/14.34  																																														|-Branch one:
% 44.39/14.34  																																														| (442) all_0_92_92 = e4
% 44.39/14.34  																																														|
% 44.39/14.34  																																															| Equations (442) can reduce 1619 to:
% 44.39/14.34  																																															| (311) $false
% 44.39/14.34  																																															|
% 44.39/14.34  																																															|-The branch is then unsatisfiable
% 44.39/14.34  																																														|-Branch two:
% 44.39/14.34  																																														| (1619)  ~ (all_0_92_92 = e4)
% 44.39/14.34  																																														| (607) all_0_93_93 = e4
% 44.39/14.34  																																														|
% 44.39/14.34  																																															+-Applying beta-rule and splitting (108), into two cases.
% 44.39/14.34  																																															|-Branch one:
% 44.39/14.34  																																															| (477) all_0_81_81 = e1
% 44.39/14.34  																																															|
% 44.39/14.34  																																																| Combining equations (477,635) yields a new equation:
% 44.39/14.34  																																																| (772) e3 = e1
% 44.39/14.34  																																																|
% 44.39/14.34  																																																| Equations (772) can reduce 20 to:
% 44.39/14.34  																																																| (311) $false
% 44.39/14.34  																																																|
% 44.39/14.34  																																																|-The branch is then unsatisfiable
% 44.39/14.34  																																															|-Branch two:
% 44.39/14.34  																																															| (628)  ~ (all_0_81_81 = e1)
% 44.39/14.34  																																															| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.39/14.34  																																															|
% 44.39/14.34  																																																+-Applying beta-rule and splitting (1400), into two cases.
% 44.39/14.34  																																																|-Branch one:
% 44.39/14.34  																																																| (1456) all_0_91_91 = e0
% 44.39/14.34  																																																|
% 44.39/14.34  																																																	| Equations (1456) can reduce 1487 to:
% 44.39/14.34  																																																	| (311) $false
% 44.39/14.34  																																																	|
% 44.39/14.34  																																																	|-The branch is then unsatisfiable
% 44.39/14.34  																																																|-Branch two:
% 44.39/14.34  																																																| (1487)  ~ (all_0_91_91 = e0)
% 44.39/14.34  																																																| (1837) all_0_96_96 = e0
% 44.39/14.34  																																																|
% 44.39/14.34  																																																	| Equations (1837) can reduce 43 to:
% 44.39/14.34  																																																	| (2058)  ~ (all_0_98_98 = e0)
% 44.39/14.34  																																																	|
% 44.39/14.34  																																																	| Simplifying 2058 yields:
% 44.39/14.34  																																																	| (2059)  ~ (all_0_98_98 = e0)
% 44.39/14.34  																																																	|
% 44.39/14.34  																																																	+-Applying beta-rule and splitting (5118), into two cases.
% 44.39/14.34  																																																	|-Branch one:
% 44.39/14.34  																																																	| (1543) all_0_98_98 = e1
% 44.39/14.34  																																																	|
% 44.39/14.34  																																																		| Equations (1543) can reduce 148 to:
% 44.39/14.34  																																																		| (486)  ~ (all_0_97_97 = e1)
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																		| Equations (1543) can reduce 2059 to:
% 44.39/14.34  																																																		| (264)  ~ (e1 = e0)
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																		+-Applying beta-rule and splitting (132), into two cases.
% 44.39/14.34  																																																		|-Branch one:
% 44.39/14.34  																																																		| (750) all_0_90_90 = e1
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																			| Combining equations (758,750) yields a new equation:
% 44.39/14.34  																																																			| (865) e1 = e0
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			| Equations (865) can reduce 264 to:
% 44.39/14.34  																																																			| (311) $false
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			|-The branch is then unsatisfiable
% 44.39/14.34  																																																		|-Branch two:
% 44.39/14.34  																																																		| (678)  ~ (all_0_90_90 = e1)
% 44.39/14.34  																																																		| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																			| Equations (758) can reduce 678 to:
% 44.39/14.34  																																																			| (859)  ~ (e1 = e0)
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			| Simplifying 859 yields:
% 44.39/14.34  																																																			| (264)  ~ (e1 = e0)
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 44.39/14.34  																																																			|-Branch one:
% 44.39/14.34  																																																			| (482) all_0_87_87 = e1
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																				| Combining equations (861,482) yields a new equation:
% 44.39/14.34  																																																				| (865) e1 = e0
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				| Equations (865) can reduce 264 to:
% 44.39/14.34  																																																				| (311) $false
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				|-The branch is then unsatisfiable
% 44.39/14.34  																																																			|-Branch two:
% 44.39/14.34  																																																			| (625)  ~ (all_0_87_87 = e1)
% 44.39/14.34  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																				+-Applying beta-rule and splitting (835), into two cases.
% 44.39/14.34  																																																				|-Branch one:
% 44.39/14.34  																																																				| (836) all_0_92_92 = e1
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																					| Equations (836) can reduce 946 to:
% 44.39/14.34  																																																					| (264)  ~ (e1 = e0)
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					| Instantiating formula (262) with e3, e0, e1, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e1, yields:
% 44.39/14.34  																																																					| (845) all_0_72_72 = e1
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 44.39/14.34  																																																					| (10076) all_0_72_72 = e0
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					| Combining equations (845,10076) yields a new equation:
% 44.39/14.34  																																																					| (1107) e1 = e0
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					| Simplifying 1107 yields:
% 44.39/14.34  																																																					| (865) e1 = e0
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					| Equations (865) can reduce 264 to:
% 44.39/14.34  																																																					| (311) $false
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					|-The branch is then unsatisfiable
% 44.39/14.34  																																																				|-Branch two:
% 44.39/14.34  																																																				| (840)  ~ (all_0_92_92 = e1)
% 44.39/14.34  																																																				| (542) all_0_97_97 = e1
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																					| Equations (542) can reduce 486 to:
% 44.39/14.34  																																																					| (311) $false
% 44.39/14.34  																																																					|
% 44.39/14.34  																																																					|-The branch is then unsatisfiable
% 44.39/14.34  																																																	|-Branch two:
% 44.39/14.34  																																																	| (1804)  ~ (all_0_98_98 = e1)
% 44.39/14.34  																																																	| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.39/14.34  																																																	|
% 44.39/14.34  																																																		+-Applying beta-rule and splitting (817), into two cases.
% 44.39/14.34  																																																		|-Branch one:
% 44.39/14.34  																																																		| (504) all_0_88_88 = e1
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																			| Combining equations (504,370) yields a new equation:
% 44.39/14.34  																																																			| (385) e2 = e1
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			| Equations (385) can reduce 243 to:
% 44.39/14.34  																																																			| (311) $false
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																			|-The branch is then unsatisfiable
% 44.39/14.34  																																																		|-Branch two:
% 44.39/14.34  																																																		| (479)  ~ (all_0_88_88 = e1)
% 44.39/14.34  																																																		| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.39/14.34  																																																		|
% 44.39/14.34  																																																			+-Applying beta-rule and splitting (897), into two cases.
% 44.39/14.34  																																																			|-Branch one:
% 44.39/14.34  																																																			| (566) all_0_93_93 = e1
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																				| Combining equations (607,566) yields a new equation:
% 44.39/14.34  																																																				| (813) e4 = e1
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				| Simplifying 813 yields:
% 44.39/14.34  																																																				| (814) e4 = e1
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				| Equations (814) can reduce 256 to:
% 44.39/14.34  																																																				| (311) $false
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				|-The branch is then unsatisfiable
% 44.39/14.34  																																																			|-Branch two:
% 44.39/14.34  																																																			| (481)  ~ (all_0_93_93 = e1)
% 44.39/14.34  																																																			| (1543) all_0_98_98 = e1
% 44.39/14.34  																																																			|
% 44.39/14.34  																																																				| Equations (1543) can reduce 1804 to:
% 44.39/14.34  																																																				| (311) $false
% 44.39/14.34  																																																				|
% 44.39/14.34  																																																				|-The branch is then unsatisfiable
% 44.39/14.34  																																								|-Branch two:
% 44.39/14.34  																																								| (762)  ~ (all_0_90_90 = e0)
% 44.39/14.34  																																								| (858) all_0_95_95 = e0
% 44.39/14.34  																																								|
% 44.39/14.34  																																									| Combining equations (858,767) yields a new equation:
% 44.39/14.34  																																									| (379) e2 = e0
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| Equations (379) can reduce 76 to:
% 44.39/14.34  																																									| (311) $false
% 44.39/14.34  																																									|
% 44.39/14.34  																																									|-The branch is then unsatisfiable
% 44.39/14.34  																																	|-Branch two:
% 44.39/14.34  																																	| (793)  ~ (all_0_82_82 = e3)
% 44.39/14.34  																																	| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.39/14.34  																																	|
% 44.39/14.34  																																		+-Applying beta-rule and splitting (220), into two cases.
% 44.39/14.34  																																		|-Branch one:
% 44.39/14.34  																																		| (771) all_0_78_78 = e3
% 44.39/14.34  																																		|
% 44.39/14.34  																																			| Combining equations (771,463) yields a new equation:
% 44.39/14.34  																																			| (434) e4 = e3
% 44.39/14.34  																																			|
% 44.39/14.34  																																			| Equations (434) can reduce 177 to:
% 44.39/14.34  																																			| (311) $false
% 44.39/14.34  																																			|
% 44.39/14.34  																																			|-The branch is then unsatisfiable
% 44.39/14.34  																																		|-Branch two:
% 44.39/14.34  																																		| (418)  ~ (all_0_78_78 = e3)
% 44.39/14.34  																																		| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.39/14.34  																																		|
% 44.39/14.34  																																			+-Applying beta-rule and splitting (10), into two cases.
% 44.39/14.34  																																			|-Branch one:
% 44.39/14.34  																																			| (530) all_0_82_82 = e2
% 44.39/14.34  																																			|
% 44.39/14.34  																																				| Equations (530) can reduce 347 to:
% 44.39/14.34  																																				| (311) $false
% 44.39/14.34  																																				|
% 44.39/14.34  																																				|-The branch is then unsatisfiable
% 44.39/14.34  																																			|-Branch two:
% 44.39/14.34  																																			| (347)  ~ (all_0_82_82 = e2)
% 44.39/14.34  																																			| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.39/14.34  																																			|
% 44.39/14.34  																																				+-Applying beta-rule and splitting (2205), into two cases.
% 44.39/14.34  																																				|-Branch one:
% 44.39/14.34  																																				| (789) all_0_82_82 = e3
% 44.39/14.34  																																				|
% 44.39/14.34  																																					| Equations (789) can reduce 793 to:
% 44.39/14.34  																																					| (311) $false
% 44.39/14.34  																																					|
% 44.39/14.34  																																					|-The branch is then unsatisfiable
% 44.39/14.34  																																				|-Branch two:
% 44.39/14.34  																																				| (793)  ~ (all_0_82_82 = e3)
% 44.39/14.34  																																				| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.39/14.34  																																				|
% 44.39/14.34  																																					+-Applying beta-rule and splitting (2706), into two cases.
% 44.39/14.34  																																					|-Branch one:
% 44.39/14.34  																																					| (910) all_0_82_82 = e0
% 44.39/14.34  																																					|
% 44.39/14.34  																																						| Equations (910) can reduce 7 to:
% 44.39/14.34  																																						| (2207)  ~ (all_0_84_84 = e0)
% 44.39/14.34  																																						|
% 44.39/14.34  																																						| Simplifying 2207 yields:
% 44.39/14.34  																																						| (919)  ~ (all_0_84_84 = e0)
% 44.39/14.34  																																						|
% 44.39/14.34  																																						| Equations (910) can reduce 255 to:
% 44.39/14.34  																																						| (2710)  ~ (all_0_90_90 = e0)
% 44.39/14.34  																																						|
% 44.39/14.34  																																						| Simplifying 2710 yields:
% 44.39/14.34  																																						| (762)  ~ (all_0_90_90 = e0)
% 44.39/14.34  																																						|
% 44.39/14.34  																																						| From (910) and (61) follows:
% 44.39/14.34  																																						| (979) op(e3, e3) = e0
% 44.39/14.34  																																						|
% 44.39/14.34  																																						+-Applying beta-rule and splitting (1296), into two cases.
% 44.39/14.34  																																						|-Branch one:
% 44.39/14.34  																																						| (795) all_0_83_83 = e3
% 44.39/14.34  																																						|
% 44.39/14.34  																																							| Combining equations (453,795) yields a new equation:
% 44.39/14.34  																																							| (548) e3 = e2
% 44.39/14.34  																																							|
% 44.39/14.34  																																							| Equations (548) can reduce 169 to:
% 44.39/14.34  																																							| (311) $false
% 44.39/14.34  																																							|
% 44.39/14.34  																																							|-The branch is then unsatisfiable
% 44.39/14.34  																																						|-Branch two:
% 44.39/14.34  																																						| (779)  ~ (all_0_83_83 = e3)
% 44.39/14.34  																																						| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.39/14.34  																																						|
% 44.39/14.34  																																							+-Applying beta-rule and splitting (1594), into two cases.
% 44.39/14.34  																																							|-Branch one:
% 44.39/14.34  																																							| (1265) all_0_84_84 = e3
% 44.39/14.34  																																							|
% 44.39/14.34  																																								| Equations (1265) can reduce 195 to:
% 44.39/14.34  																																								| (427)  ~ (all_0_97_97 = e3)
% 44.39/14.34  																																								|
% 44.39/14.34  																																								| Simplifying 427 yields:
% 44.39/14.34  																																								| (428)  ~ (all_0_97_97 = e3)
% 44.39/14.34  																																								|
% 44.39/14.34  																																								| Equations (1265) can reduce 612 to:
% 44.39/14.34  																																								| (169)  ~ (e3 = e2)
% 44.39/14.34  																																								|
% 44.39/14.34  																																								| Equations (1265) can reduce 919 to:
% 44.39/14.34  																																								| (50)  ~ (e3 = e0)
% 44.39/14.34  																																								|
% 44.39/14.34  																																								| From (1265) and (150) follows:
% 44.39/14.34  																																								| (4457) op(e3, e3) = all_0_63_63
% 44.39/14.34  																																								|
% 44.39/14.34  																																								+-Applying beta-rule and splitting (775), into two cases.
% 44.39/14.34  																																								|-Branch one:
% 44.39/14.34  																																								| (789) all_0_82_82 = e3
% 44.39/14.34  																																								|
% 44.39/14.34  																																									| Combining equations (910,789) yields a new equation:
% 44.39/14.34  																																									| (600) e3 = e0
% 44.39/14.34  																																									|
% 44.39/14.34  																																									| Equations (600) can reduce 50 to:
% 44.39/14.34  																																									| (311) $false
% 44.39/14.34  																																									|
% 44.39/14.34  																																									|-The branch is then unsatisfiable
% 44.39/14.34  																																								|-Branch two:
% 44.39/14.34  																																								| (793)  ~ (all_0_82_82 = e3)
% 44.39/14.34  																																								| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.39/14.34  																																								|
% 44.39/14.34  																																									+-Applying beta-rule and splitting (270), into two cases.
% 44.39/14.34  																																									|-Branch one:
% 44.39/14.34  																																									| (744) all_0_95_95 = e3
% 44.39/14.34  																																									|
% 44.39/14.34  																																										| Combining equations (744,767) yields a new equation:
% 44.39/14.34  																																										| (547) e3 = e2
% 44.39/14.34  																																										|
% 44.39/14.34  																																										| Simplifying 547 yields:
% 44.39/14.34  																																										| (548) e3 = e2
% 44.39/14.34  																																										|
% 44.39/14.34  																																										| Equations (548) can reduce 169 to:
% 44.39/14.34  																																										| (311) $false
% 44.39/14.34  																																										|
% 44.39/14.34  																																										|-The branch is then unsatisfiable
% 44.39/14.34  																																									|-Branch two:
% 44.39/14.34  																																									| (765)  ~ (all_0_95_95 = e3)
% 44.39/14.34  																																									| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.39/14.34  																																									|
% 44.39/14.34  																																										+-Applying beta-rule and splitting (112), into two cases.
% 44.39/14.34  																																										|-Branch one:
% 44.39/14.34  																																										| (538) all_0_97_97 = e2
% 44.39/14.34  																																										|
% 44.39/14.34  																																											| Equations (538) can reduce 527 to:
% 44.39/14.34  																																											| (311) $false
% 44.39/14.34  																																											|
% 44.39/14.34  																																											|-The branch is then unsatisfiable
% 44.39/14.34  																																										|-Branch two:
% 44.39/14.34  																																										| (527)  ~ (all_0_97_97 = e2)
% 44.39/14.34  																																										| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.39/14.34  																																										|
% 44.39/14.34  																																											+-Applying beta-rule and splitting (766), into two cases.
% 44.39/14.34  																																											|-Branch one:
% 44.39/14.34  																																											| (778) all_0_96_96 = e3
% 44.39/14.34  																																											|
% 44.39/14.34  																																												| Equations (778) can reduce 22 to:
% 44.39/14.34  																																												| (427)  ~ (all_0_97_97 = e3)
% 44.39/14.34  																																												|
% 44.39/14.34  																																												| Simplifying 427 yields:
% 44.39/14.34  																																												| (428)  ~ (all_0_97_97 = e3)
% 44.39/14.34  																																												|
% 44.39/14.34  																																												| Equations (778) can reduce 115 to:
% 44.39/14.34  																																												| (783)  ~ (e4 = e3)
% 44.39/14.34  																																												|
% 44.39/14.34  																																												| Simplifying 783 yields:
% 44.39/14.34  																																												| (177)  ~ (e4 = e3)
% 44.39/14.34  																																												|
% 44.39/14.34  																																												| Equations (778) can reduce 1638 to:
% 44.39/14.34  																																												| (169)  ~ (e3 = e2)
% 44.39/14.34  																																												|
% 44.39/14.34  																																												+-Applying beta-rule and splitting (472), into two cases.
% 44.39/14.34  																																												|-Branch one:
% 44.39/14.34  																																												| (438) all_0_84_84 = e4
% 44.39/14.34  																																												|
% 44.39/14.34  																																													| Combining equations (1265,438) yields a new equation:
% 44.39/14.34  																																													| (434) e4 = e3
% 44.39/14.34  																																													|
% 44.39/14.34  																																													| Equations (434) can reduce 177 to:
% 44.39/14.34  																																													| (311) $false
% 44.39/14.34  																																													|
% 44.39/14.34  																																													|-The branch is then unsatisfiable
% 44.39/14.35  																																												|-Branch two:
% 44.39/14.35  																																												| (417)  ~ (all_0_84_84 = e4)
% 44.39/14.35  																																												| (493) all_0_85_85 = e4
% 44.39/14.35  																																												|
% 44.39/14.35  																																													| Equations (493) can reduce 201 to:
% 44.39/14.35  																																													| (495)  ~ (all_0_93_93 = e4)
% 44.39/14.35  																																													|
% 44.39/14.35  																																													| Simplifying 495 yields:
% 44.39/14.35  																																													| (496)  ~ (all_0_93_93 = e4)
% 44.39/14.35  																																													|
% 44.39/14.35  																																													+-Applying beta-rule and splitting (794), into two cases.
% 44.39/14.35  																																													|-Branch one:
% 44.39/14.35  																																													| (754) all_0_90_90 = e3
% 44.39/14.35  																																													|
% 44.39/14.35  																																														| Equations (754) can reduce 103 to:
% 44.39/14.35  																																														| (1298)  ~ (all_0_91_91 = e3)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| Simplifying 1298 yields:
% 44.39/14.35  																																														| (571)  ~ (all_0_91_91 = e3)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| Equations (754) can reduce 34 to:
% 44.39/14.35  																																														| (807)  ~ (all_0_93_93 = e3)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| Simplifying 807 yields:
% 44.39/14.35  																																														| (602)  ~ (all_0_93_93 = e3)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| Equations (754) can reduce 678 to:
% 44.39/14.35  																																														| (20)  ~ (e3 = e1)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| Equations (754) can reduce 762 to:
% 44.39/14.35  																																														| (50)  ~ (e3 = e0)
% 44.39/14.35  																																														|
% 44.39/14.35  																																														| From (754) and (743) follows:
% 44.39/14.35  																																														| (831) op(e3, e3) = e1
% 44.39/14.35  																																														|
% 44.39/14.35  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 44.39/14.35  																																														|-Branch one:
% 44.39/14.35  																																														| (1456) all_0_91_91 = e0
% 44.39/14.35  																																														|
% 44.39/14.35  																																															| Equations (1456) can reduce 571 to:
% 44.39/14.35  																																															| (906)  ~ (e3 = e0)
% 44.39/14.35  																																															|
% 44.39/14.35  																																															| Simplifying 906 yields:
% 44.39/14.35  																																															| (50)  ~ (e3 = e0)
% 44.39/14.35  																																															|
% 44.39/14.35  																																															| Equations (1456) can reduce 959 to:
% 44.39/14.35  																																															| (859)  ~ (e1 = e0)
% 44.39/14.35  																																															|
% 44.39/14.35  																																															| Simplifying 859 yields:
% 44.39/14.35  																																															| (264)  ~ (e1 = e0)
% 44.39/14.35  																																															|
% 44.39/14.35  																																															+-Applying beta-rule and splitting (1921), into two cases.
% 44.39/14.35  																																															|-Branch one:
% 44.39/14.35  																																															| (1837) all_0_96_96 = e0
% 44.39/14.35  																																															|
% 44.39/14.35  																																																| Combining equations (778,1837) yields a new equation:
% 44.39/14.35  																																																| (599) e3 = e0
% 44.39/14.35  																																																|
% 44.39/14.35  																																																| Simplifying 599 yields:
% 44.39/14.35  																																																| (600) e3 = e0
% 44.39/14.35  																																																|
% 44.39/14.35  																																																| Equations (600) can reduce 50 to:
% 44.39/14.35  																																																| (311) $false
% 44.39/14.35  																																																|
% 44.39/14.35  																																																|-The branch is then unsatisfiable
% 44.39/14.35  																																															|-Branch two:
% 44.41/14.35  																																															| (2095)  ~ (all_0_96_96 = e0)
% 44.41/14.35  																																															| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.41/14.35  																																															|
% 44.41/14.35  																																																+-Applying beta-rule and splitting (2096), into two cases.
% 44.41/14.35  																																																|-Branch one:
% 44.41/14.35  																																																| (560) all_0_97_97 = e0
% 44.41/14.35  																																																|
% 44.41/14.35  																																																	| Equations (560) can reduce 609 to:
% 44.41/14.35  																																																	| (311) $false
% 44.41/14.35  																																																	|
% 44.41/14.35  																																																	|-The branch is then unsatisfiable
% 44.41/14.35  																																																|-Branch two:
% 44.41/14.35  																																																| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.35  																																																| (1121) all_0_98_98 = e0
% 44.41/14.35  																																																|
% 44.41/14.35  																																																	| Equations (1121) can reduce 13 to:
% 44.41/14.35  																																																	| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.35  																																																	|
% 44.41/14.35  																																																	| Equations (1121) can reduce 148 to:
% 44.41/14.35  																																																	| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.35  																																																	|
% 44.41/14.35  																																																	+-Applying beta-rule and splitting (108), into two cases.
% 44.41/14.35  																																																	|-Branch one:
% 44.41/14.35  																																																	| (477) all_0_81_81 = e1
% 44.41/14.35  																																																	|
% 44.41/14.35  																																																		| Combining equations (477,635) yields a new equation:
% 44.41/14.35  																																																		| (772) e3 = e1
% 44.41/14.35  																																																		|
% 44.41/14.35  																																																		| Equations (772) can reduce 20 to:
% 44.41/14.35  																																																		| (311) $false
% 44.41/14.35  																																																		|
% 44.41/14.35  																																																		|-The branch is then unsatisfiable
% 44.41/14.35  																																																	|-Branch two:
% 44.41/14.35  																																																	| (628)  ~ (all_0_81_81 = e1)
% 44.41/14.35  																																																	| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.35  																																																	|
% 44.41/14.35  																																																		+-Applying beta-rule and splitting (65), into two cases.
% 44.41/14.35  																																																		|-Branch one:
% 44.41/14.35  																																																		| (522) all_0_93_93 = e2
% 44.41/14.35  																																																		|
% 44.41/14.35  																																																			| Equations (522) can reduce 300 to:
% 44.41/14.35  																																																			| (311) $false
% 44.41/14.35  																																																			|
% 44.41/14.35  																																																			|-The branch is then unsatisfiable
% 44.41/14.35  																																																		|-Branch two:
% 44.41/14.35  																																																		| (300)  ~ (all_0_93_93 = e2)
% 44.41/14.35  																																																		| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.41/14.35  																																																		|
% 44.41/14.35  																																																			+-Applying beta-rule and splitting (541), into two cases.
% 44.41/14.35  																																																			|-Branch one:
% 44.41/14.35  																																																			| (542) all_0_97_97 = e1
% 44.41/14.35  																																																			|
% 44.41/14.35  																																																				| Equations (542) can reduce 428 to:
% 44.41/14.35  																																																				| (683)  ~ (e3 = e1)
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																				| Simplifying 683 yields:
% 44.41/14.35  																																																				| (20)  ~ (e3 = e1)
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																				| Equations (542) can reduce 527 to:
% 44.41/14.35  																																																				| (487)  ~ (e2 = e1)
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																				| Simplifying 487 yields:
% 44.41/14.35  																																																				| (243)  ~ (e2 = e1)
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																				| Equations (542) can reduce 609 to:
% 44.41/14.35  																																																				| (264)  ~ (e1 = e0)
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																				+-Applying beta-rule and splitting (132), into two cases.
% 44.41/14.35  																																																				|-Branch one:
% 44.41/14.35  																																																				| (750) all_0_90_90 = e1
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																					| Combining equations (750,754) yields a new equation:
% 44.41/14.35  																																																					| (772) e3 = e1
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																					| Equations (772) can reduce 20 to:
% 44.41/14.35  																																																					| (311) $false
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																					|-The branch is then unsatisfiable
% 44.41/14.35  																																																				|-Branch two:
% 44.41/14.35  																																																				| (678)  ~ (all_0_90_90 = e1)
% 44.41/14.35  																																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																					+-Applying beta-rule and splitting (817), into two cases.
% 44.41/14.35  																																																					|-Branch one:
% 44.41/14.35  																																																					| (504) all_0_88_88 = e1
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																						| Combining equations (370,504) yields a new equation:
% 44.41/14.35  																																																						| (408) e2 = e1
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																						| Simplifying 408 yields:
% 44.41/14.35  																																																						| (385) e2 = e1
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																						| Equations (385) can reduce 243 to:
% 44.41/14.35  																																																						| (311) $false
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																						|-The branch is then unsatisfiable
% 44.41/14.35  																																																					|-Branch two:
% 44.41/14.35  																																																					| (479)  ~ (all_0_88_88 = e1)
% 44.41/14.35  																																																					| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																						+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.35  																																																						|-Branch one:
% 44.41/14.35  																																																						| (566) all_0_93_93 = e1
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							| Equations (566) can reduce 509 to:
% 44.41/14.35  																																																							| (264)  ~ (e1 = e0)
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							| Instantiating formula (262) with e3, e3, e1, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e1, yields:
% 44.41/14.35  																																																							| (10509) all_0_63_63 = e1
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							| Instantiating formula (262) with e3, e3, e0, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e0, yields:
% 44.41/14.35  																																																							| (4460) all_0_63_63 = e0
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							| Combining equations (4460,10509) yields a new equation:
% 44.41/14.35  																																																							| (865) e1 = e0
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							| Equations (865) can reduce 264 to:
% 44.41/14.35  																																																							| (311) $false
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							|-The branch is then unsatisfiable
% 44.41/14.35  																																																						|-Branch two:
% 44.41/14.35  																																																						| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.35  																																																						| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							+-Applying beta-rule and splitting (1526), into two cases.
% 44.41/14.35  																																																							|-Branch one:
% 44.41/14.35  																																																							| (801) all_0_91_91 = e1
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																								| Combining equations (801,1456) yields a new equation:
% 44.41/14.35  																																																								| (1107) e1 = e0
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								| Simplifying 1107 yields:
% 44.41/14.35  																																																								| (865) e1 = e0
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								| Equations (865) can reduce 264 to:
% 44.41/14.35  																																																								| (311) $false
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								|-The branch is then unsatisfiable
% 44.41/14.35  																																																							|-Branch two:
% 44.41/14.35  																																																							| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.35  																																																							| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																								| Equations (1456) can reduce 959 to:
% 44.41/14.35  																																																								| (859)  ~ (e1 = e0)
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								| Simplifying 859 yields:
% 44.41/14.35  																																																								| (264)  ~ (e1 = e0)
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								+-Applying beta-rule and splitting (897), into two cases.
% 44.41/14.35  																																																								|-Branch one:
% 44.41/14.35  																																																								| (566) all_0_93_93 = e1
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																									| Equations (566) can reduce 481 to:
% 44.41/14.35  																																																									| (311) $false
% 44.41/14.35  																																																									|
% 44.41/14.35  																																																									|-The branch is then unsatisfiable
% 44.41/14.35  																																																								|-Branch two:
% 44.41/14.35  																																																								| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.35  																																																								| (1543) all_0_98_98 = e1
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																									| Combining equations (1543,1121) yields a new equation:
% 44.41/14.35  																																																									| (1107) e1 = e0
% 44.41/14.35  																																																									|
% 44.41/14.35  																																																									| Simplifying 1107 yields:
% 44.41/14.35  																																																									| (865) e1 = e0
% 44.41/14.35  																																																									|
% 44.41/14.35  																																																									| Equations (865) can reduce 264 to:
% 44.41/14.35  																																																									| (311) $false
% 44.41/14.35  																																																									|
% 44.41/14.35  																																																									|-The branch is then unsatisfiable
% 44.41/14.35  																																																			|-Branch two:
% 44.41/14.35  																																																			| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.35  																																																			| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.41/14.35  																																																			|
% 44.41/14.35  																																																				+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.35  																																																				|-Branch one:
% 44.41/14.35  																																																				| (482) all_0_87_87 = e1
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																					| Combining equations (861,482) yields a new equation:
% 44.41/14.35  																																																					| (865) e1 = e0
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																					| Equations (865) can reduce 264 to:
% 44.41/14.35  																																																					| (311) $false
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																					|-The branch is then unsatisfiable
% 44.41/14.35  																																																				|-Branch two:
% 44.41/14.35  																																																				| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.35  																																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.35  																																																				|
% 44.41/14.35  																																																					+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.35  																																																					|-Branch one:
% 44.41/14.35  																																																					| (566) all_0_93_93 = e1
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																						| Equations (566) can reduce 283 to:
% 44.41/14.35  																																																						| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																						+-Applying beta-rule and splitting (835), into two cases.
% 44.41/14.35  																																																						|-Branch one:
% 44.41/14.35  																																																						| (836) all_0_92_92 = e1
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							| Equations (836) can reduce 840 to:
% 44.41/14.35  																																																							| (311) $false
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							|-The branch is then unsatisfiable
% 44.41/14.35  																																																						|-Branch two:
% 44.41/14.35  																																																						| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.35  																																																						| (542) all_0_97_97 = e1
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							| Equations (542) can reduce 486 to:
% 44.41/14.35  																																																							| (311) $false
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							|-The branch is then unsatisfiable
% 44.41/14.35  																																																					|-Branch two:
% 44.41/14.35  																																																					| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.35  																																																					| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.35  																																																					|
% 44.41/14.35  																																																						+-Applying beta-rule and splitting (569), into two cases.
% 44.41/14.35  																																																						|-Branch one:
% 44.41/14.35  																																																						| (570) all_0_93_93 = e3
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							| Equations (570) can reduce 602 to:
% 44.41/14.35  																																																							| (311) $false
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																							|-The branch is then unsatisfiable
% 44.41/14.35  																																																						|-Branch two:
% 44.41/14.35  																																																						| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.35  																																																						| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.41/14.35  																																																						|
% 44.41/14.35  																																																							+-Applying beta-rule and splitting (603), into two cases.
% 44.41/14.35  																																																							|-Branch one:
% 44.41/14.35  																																																							| (604) all_0_93_93 = e0
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																								| Equations (604) can reduce 509 to:
% 44.41/14.35  																																																								| (311) $false
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								|-The branch is then unsatisfiable
% 44.41/14.35  																																																							|-Branch two:
% 44.41/14.35  																																																							| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.35  																																																							| (607) all_0_93_93 = e4
% 44.41/14.35  																																																							|
% 44.41/14.35  																																																								| Equations (607) can reduce 496 to:
% 44.41/14.35  																																																								| (311) $false
% 44.41/14.35  																																																								|
% 44.41/14.35  																																																								|-The branch is then unsatisfiable
% 44.41/14.35  																																														|-Branch two:
% 44.41/14.35  																																														| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.35  																																														| (1837) all_0_96_96 = e0
% 44.41/14.35  																																														|
% 44.41/14.35  																																															| Combining equations (1837,778) yields a new equation:
% 44.41/14.35  																																															| (600) e3 = e0
% 44.41/14.35  																																															|
% 44.41/14.35  																																															| Equations (600) can reduce 50 to:
% 44.41/14.35  																																															| (311) $false
% 44.41/14.35  																																															|
% 44.41/14.35  																																															|-The branch is then unsatisfiable
% 44.41/14.35  																																													|-Branch two:
% 44.41/14.35  																																													| (745)  ~ (all_0_90_90 = e3)
% 44.41/14.35  																																													| (744) all_0_95_95 = e3
% 44.41/14.35  																																													|
% 44.41/14.35  																																														| Combining equations (744,767) yields a new equation:
% 44.41/14.35  																																														| (547) e3 = e2
% 44.41/14.35  																																														|
% 44.41/14.35  																																														| Simplifying 547 yields:
% 44.41/14.35  																																														| (548) e3 = e2
% 44.41/14.35  																																														|
% 44.41/14.35  																																														| Equations (548) can reduce 169 to:
% 44.41/14.35  																																														| (311) $false
% 44.41/14.35  																																														|
% 44.41/14.35  																																														|-The branch is then unsatisfiable
% 44.41/14.35  																																											|-Branch two:
% 44.41/14.35  																																											| (964)  ~ (all_0_96_96 = e3)
% 44.41/14.35  																																											| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.35  																																											|
% 44.41/14.35  																																												+-Applying beta-rule and splitting (965), into two cases.
% 44.41/14.35  																																												|-Branch one:
% 44.41/14.35  																																												| (556) all_0_97_97 = e3
% 44.41/14.35  																																												|
% 44.41/14.35  																																													| Equations (556) can reduce 428 to:
% 44.41/14.35  																																													| (311) $false
% 44.41/14.35  																																													|
% 44.41/14.35  																																													|-The branch is then unsatisfiable
% 44.41/14.35  																																												|-Branch two:
% 44.41/14.35  																																												| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.35  																																												| (969) all_0_98_98 = e3
% 44.41/14.35  																																												|
% 44.41/14.35  																																													| Equations (969) can reduce 1519 to:
% 44.41/14.35  																																													| (311) $false
% 44.41/14.35  																																													|
% 44.41/14.35  																																													|-The branch is then unsatisfiable
% 44.41/14.35  																																							|-Branch two:
% 44.41/14.35  																																							| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.35  																																							| (804) all_0_85_85 = e3
% 44.41/14.35  																																							|
% 44.41/14.35  																																								| Equations (804) can reduce 952 to:
% 44.41/14.35  																																								| (311) $false
% 44.41/14.35  																																								|
% 44.41/14.35  																																								|-The branch is then unsatisfiable
% 44.41/14.35  																																					|-Branch two:
% 44.41/14.35  																																					| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.35  																																					| (469) all_0_82_82 = e4
% 44.41/14.35  																																					|
% 44.41/14.35  																																						| Equations (469) can reduce 465 to:
% 44.41/14.35  																																						| (311) $false
% 44.41/14.35  																																						|
% 44.41/14.35  																																						|-The branch is then unsatisfiable
% 44.41/14.35  																											|-Branch two:
% 44.41/14.35  																											| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.41/14.35  																											|
% 44.41/14.35  																												| Applying alpha-rule on (973) yields:
% 44.41/14.35  																												| (974) all_0_50_50 = e0
% 44.41/14.35  																												| (975)  ~ (all_0_51_51 = e3)
% 44.41/14.35  																												|
% 44.41/14.35  																												| Combining equations (974,13437) yields a new equation:
% 44.41/14.35  																												| (379) e2 = e0
% 44.41/14.35  																												|
% 44.41/14.35  																												| Equations (379) can reduce 76 to:
% 44.41/14.35  																												| (311) $false
% 44.41/14.35  																												|
% 44.41/14.35  																												|-The branch is then unsatisfiable
% 44.41/14.35  																						|-Branch two:
% 44.41/14.35  																						| (640)  ~ (all_0_78_78 = e4)
% 44.41/14.35  																						| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.41/14.35  																						|
% 44.41/14.35  																							+-Applying beta-rule and splitting (24), into two cases.
% 44.41/14.35  																							|-Branch one:
% 44.41/14.35  																							| (400) all_0_78_78 = e2
% 44.41/14.35  																							|
% 44.41/14.35  																								| Equations (400) can reduce 346 to:
% 44.41/14.35  																								| (311) $false
% 44.41/14.35  																								|
% 44.41/14.35  																								|-The branch is then unsatisfiable
% 44.41/14.35  																							|-Branch two:
% 44.41/14.35  																							| (346)  ~ (all_0_78_78 = e2)
% 44.41/14.35  																							| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.41/14.35  																							|
% 44.41/14.35  																								+-Applying beta-rule and splitting (675), into two cases.
% 44.41/14.35  																								|-Branch one:
% 44.41/14.35  																								| (676) all_0_78_78 = e1
% 44.41/14.35  																								|
% 44.41/14.35  																									| Equations (676) can reduce 1601 to:
% 44.41/14.35  																									| (311) $false
% 44.41/14.35  																									|
% 44.41/14.35  																									|-The branch is then unsatisfiable
% 44.41/14.35  																								|-Branch two:
% 44.41/14.35  																								| (1601)  ~ (all_0_78_78 = e1)
% 44.41/14.35  																								| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.41/14.35  																								|
% 44.41/14.35  																									+-Applying beta-rule and splitting (641), into two cases.
% 44.41/14.35  																									|-Branch one:
% 44.41/14.35  																									| (433) all_0_80_80 = e4
% 44.41/14.35  																									|
% 44.41/14.35  																										| Combining equations (546,433) yields a new equation:
% 44.41/14.35  																										| (310) e4 = e2
% 44.41/14.35  																										|
% 44.41/14.35  																										| Equations (310) can reduce 79 to:
% 44.41/14.35  																										| (311) $false
% 44.41/14.35  																										|
% 44.41/14.35  																										|-The branch is then unsatisfiable
% 44.41/14.35  																									|-Branch two:
% 44.41/14.35  																									| (436)  ~ (all_0_80_80 = e4)
% 44.41/14.35  																									| (638) all_0_81_81 = e4
% 44.41/14.35  																									|
% 44.41/14.35  																										| Equations (638) can reduce 278 to:
% 44.41/14.35  																										| (640)  ~ (all_0_78_78 = e4)
% 44.41/14.35  																										|
% 44.41/14.35  																										| Equations (638) can reduce 118 to:
% 44.41/14.35  																										| (647)  ~ (all_0_85_85 = e4)
% 44.41/14.35  																										|
% 44.41/14.35  																										| Simplifying 647 yields:
% 44.41/14.35  																										| (648)  ~ (all_0_85_85 = e4)
% 44.41/14.35  																										|
% 44.41/14.35  																										| Equations (638) can reduce 277 to:
% 44.41/14.35  																										| (495)  ~ (all_0_93_93 = e4)
% 44.41/14.35  																										|
% 44.41/14.35  																										| Simplifying 495 yields:
% 44.41/14.35  																										| (496)  ~ (all_0_93_93 = e4)
% 44.41/14.35  																										|
% 44.41/14.35  																										| Equations (638) can reduce 257 to:
% 44.41/14.35  																										| (23)  ~ (e4 = e0)
% 44.41/14.35  																										|
% 44.41/14.35  																										+-Applying beta-rule and splitting (1606), into two cases.
% 44.41/14.35  																										|-Branch one:
% 44.41/14.35  																										| (771) all_0_78_78 = e3
% 44.41/14.35  																										|
% 44.41/14.35  																											| Equations (771) can reduce 193 to:
% 44.41/14.35  																											| (3271)  ~ (all_0_82_82 = e3)
% 44.41/14.35  																											|
% 44.41/14.35  																											| Simplifying 3271 yields:
% 44.41/14.35  																											| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.35  																											|
% 44.41/14.35  																											| Equations (771) can reduce 85 to:
% 44.41/14.35  																											| (1815)  ~ (all_0_90_90 = e3)
% 44.41/14.35  																											|
% 44.41/14.35  																											| Simplifying 1815 yields:
% 44.41/14.35  																											| (745)  ~ (all_0_90_90 = e3)
% 44.41/14.35  																											|
% 44.41/14.35  																											| Equations (771) can reduce 346 to:
% 44.41/14.35  																											| (169)  ~ (e3 = e2)
% 44.41/14.35  																											|
% 44.41/14.35  																											| From (771) and (104) follows:
% 44.41/14.36  																											| (13158) op(e4, e3) = all_0_44_44
% 44.41/14.36  																											|
% 44.41/14.36  																											| From (771) and (263) follows:
% 44.41/14.36  																											| (3281) op(e4, e3) = e3
% 44.41/14.36  																											|
% 44.41/14.36  																											| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 44.41/14.36  																											| (13235) all_0_44_44 = e3
% 44.41/14.36  																											|
% 44.41/14.36  																											+-Applying beta-rule and splitting (186), into two cases.
% 44.41/14.36  																											|-Branch one:
% 44.41/14.36  																											| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 44.41/14.36  																											|
% 44.41/14.36  																												+-Applying beta-rule and splitting (726), into two cases.
% 44.41/14.36  																												|-Branch one:
% 44.41/14.36  																												| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 44.41/14.36  																												|
% 44.41/14.36  																													+-Applying beta-rule and splitting (727), into two cases.
% 44.41/14.36  																													|-Branch one:
% 44.41/14.36  																													| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 44.41/14.36  																													|
% 44.41/14.36  																														| Applying alpha-rule on (728) yields:
% 44.41/14.36  																														| (729) all_0_43_43 = e4
% 44.41/14.36  																														| (730)  ~ (all_0_44_44 = e3)
% 44.41/14.36  																														|
% 44.41/14.36  																														| Equations (13235) can reduce 730 to:
% 44.41/14.36  																														| (311) $false
% 44.41/14.36  																														|
% 44.41/14.36  																														|-The branch is then unsatisfiable
% 44.41/14.36  																													|-Branch two:
% 44.41/14.36  																													| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 44.41/14.36  																													|
% 44.41/14.36  																														| Applying alpha-rule on (734) yields:
% 44.41/14.36  																														| (735) all_0_46_46 = e2
% 44.41/14.36  																														| (736)  ~ (all_0_47_47 = e3)
% 44.41/14.36  																														|
% 44.41/14.36  																														| Combining equations (735,13664) yields a new equation:
% 44.41/14.36  																														| (552) all_0_84_84 = e2
% 44.41/14.36  																														|
% 44.41/14.36  																														| Equations (552) can reduce 612 to:
% 44.41/14.36  																														| (311) $false
% 44.41/14.36  																														|
% 44.41/14.36  																														|-The branch is then unsatisfiable
% 44.41/14.36  																												|-Branch two:
% 44.41/14.36  																												| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 44.41/14.36  																												|
% 44.41/14.36  																													| Applying alpha-rule on (740) yields:
% 44.41/14.36  																													| (741) all_0_48_48 = e1
% 44.41/14.36  																													| (742)  ~ (all_0_49_49 = e3)
% 44.41/14.36  																													|
% 44.41/14.36  																													| From (741) and (217) follows:
% 44.41/14.36  																													| (743) op(e3, all_0_90_90) = e1
% 44.41/14.36  																													|
% 44.41/14.36  																													+-Applying beta-rule and splitting (109), into two cases.
% 44.41/14.36  																													|-Branch one:
% 44.41/14.36  																													| (469) all_0_82_82 = e4
% 44.41/14.36  																													|
% 44.41/14.36  																														| Equations (469) can reduce 255 to:
% 44.41/14.36  																														| (466)  ~ (all_0_90_90 = e4)
% 44.41/14.36  																														|
% 44.41/14.36  																														| Simplifying 466 yields:
% 44.41/14.36  																														| (467)  ~ (all_0_90_90 = e4)
% 44.41/14.36  																														|
% 44.41/14.36  																														| Equations (469) can reduce 347 to:
% 44.41/14.36  																														| (79)  ~ (e4 = e2)
% 44.41/14.36  																														|
% 44.41/14.36  																														| Equations (469) can reduce 198 to:
% 44.41/14.36  																														| (256)  ~ (e4 = e1)
% 44.41/14.36  																														|
% 44.41/14.36  																														+-Applying beta-rule and splitting (92), into two cases.
% 44.41/14.36  																														|-Branch one:
% 44.41/14.36  																														| (552) all_0_84_84 = e2
% 44.41/14.36  																														|
% 44.41/14.36  																															| Equations (552) can reduce 612 to:
% 44.41/14.36  																															| (311) $false
% 44.41/14.36  																															|
% 44.41/14.36  																															|-The branch is then unsatisfiable
% 44.41/14.36  																														|-Branch two:
% 44.41/14.36  																														| (612)  ~ (all_0_84_84 = e2)
% 44.41/14.36  																														| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.41/14.36  																														|
% 44.41/14.36  																															+-Applying beta-rule and splitting (46), into two cases.
% 44.41/14.36  																															|-Branch one:
% 44.41/14.36  																															| (308) all_0_89_89 = e4
% 44.41/14.36  																															|
% 44.41/14.36  																																| Combining equations (292,308) yields a new equation:
% 44.41/14.36  																																| (310) e4 = e2
% 44.41/14.36  																																|
% 44.41/14.36  																																| Equations (310) can reduce 79 to:
% 44.41/14.36  																																| (311) $false
% 44.41/14.36  																																|
% 44.41/14.36  																																|-The branch is then unsatisfiable
% 44.41/14.36  																															|-Branch two:
% 44.41/14.36  																															| (312)  ~ (all_0_89_89 = e4)
% 44.41/14.36  																															| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.36  																															|
% 44.41/14.36  																																+-Applying beta-rule and splitting (254), into two cases.
% 44.41/14.36  																																|-Branch one:
% 44.41/14.36  																																| (910) all_0_82_82 = e0
% 44.41/14.36  																																|
% 44.41/14.36  																																	| Combining equations (469,910) yields a new equation:
% 44.41/14.36  																																	| (911) e4 = e0
% 44.41/14.36  																																	|
% 44.41/14.36  																																	| Simplifying 911 yields:
% 44.41/14.36  																																	| (912) e4 = e0
% 44.41/14.36  																																	|
% 44.41/14.36  																																	| Equations (912) can reduce 23 to:
% 44.41/14.36  																																	| (311) $false
% 44.41/14.36  																																	|
% 44.41/14.36  																																	|-The branch is then unsatisfiable
% 44.41/14.36  																																|-Branch two:
% 44.41/14.36  																																| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.36  																																| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.41/14.36  																																|
% 44.41/14.36  																																	+-Applying beta-rule and splitting (1915), into two cases.
% 44.41/14.36  																																	|-Branch one:
% 44.41/14.36  																																	| (583) all_0_90_90 = e4
% 44.41/14.36  																																	|
% 44.41/14.36  																																		| Equations (583) can reduce 467 to:
% 44.41/14.36  																																		| (311) $false
% 44.41/14.36  																																		|
% 44.41/14.36  																																		|-The branch is then unsatisfiable
% 44.41/14.36  																																	|-Branch two:
% 44.41/14.36  																																	| (467)  ~ (all_0_90_90 = e4)
% 44.41/14.36  																																	| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.36  																																	|
% 44.41/14.36  																																		+-Applying beta-rule and splitting (915), into two cases.
% 44.41/14.36  																																		|-Branch one:
% 44.41/14.36  																																		| (378) all_0_86_86 = e0
% 44.41/14.36  																																		|
% 44.41/14.36  																																			| Combining equations (384,378) yields a new equation:
% 44.41/14.36  																																			| (1107) e1 = e0
% 44.41/14.36  																																			|
% 44.41/14.36  																																			| Simplifying 1107 yields:
% 44.41/14.36  																																			| (865) e1 = e0
% 44.41/14.36  																																			|
% 44.41/14.36  																																			| Equations (865) can reduce 264 to:
% 44.41/14.36  																																			| (311) $false
% 44.41/14.36  																																			|
% 44.41/14.36  																																			|-The branch is then unsatisfiable
% 44.41/14.36  																																		|-Branch two:
% 44.41/14.36  																																		| (381)  ~ (all_0_86_86 = e0)
% 44.41/14.36  																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.41/14.36  																																		|
% 44.41/14.36  																																			+-Applying beta-rule and splitting (1928), into two cases.
% 44.41/14.36  																																			|-Branch one:
% 44.41/14.36  																																			| (442) all_0_92_92 = e4
% 44.41/14.36  																																			|
% 44.41/14.36  																																				| Equations (442) can reduce 87 to:
% 44.41/14.36  																																				| (417)  ~ (all_0_84_84 = e4)
% 44.41/14.36  																																				|
% 44.41/14.36  																																				| Equations (442) can reduce 283 to:
% 44.41/14.36  																																				| (495)  ~ (all_0_93_93 = e4)
% 44.41/14.36  																																				|
% 44.41/14.36  																																				| Simplifying 495 yields:
% 44.41/14.36  																																				| (496)  ~ (all_0_93_93 = e4)
% 44.41/14.36  																																				|
% 44.41/14.36  																																				+-Applying beta-rule and splitting (132), into two cases.
% 44.41/14.36  																																				|-Branch one:
% 44.41/14.36  																																				| (750) all_0_90_90 = e1
% 44.41/14.36  																																				|
% 44.41/14.36  																																					| Equations (750) can reduce 678 to:
% 44.41/14.36  																																					| (311) $false
% 44.41/14.36  																																					|
% 44.41/14.36  																																					|-The branch is then unsatisfiable
% 44.41/14.36  																																				|-Branch two:
% 44.41/14.36  																																				| (678)  ~ (all_0_90_90 = e1)
% 44.41/14.36  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.36  																																				|
% 44.41/14.36  																																					+-Applying beta-rule and splitting (927), into two cases.
% 44.41/14.36  																																					|-Branch one:
% 44.41/14.36  																																					| (758) all_0_90_90 = e0
% 44.41/14.36  																																					|
% 44.41/14.36  																																						| Equations (758) can reduce 103 to:
% 44.41/14.36  																																						| (1830)  ~ (all_0_91_91 = e0)
% 44.41/14.36  																																						|
% 44.41/14.36  																																						| Simplifying 1830 yields:
% 44.41/14.36  																																						| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.36  																																						|
% 44.41/14.36  																																						| From (758) and (743) follows:
% 44.41/14.36  																																						| (759) op(e3, e0) = e1
% 44.41/14.36  																																						|
% 44.41/14.36  																																						+-Applying beta-rule and splitting (1526), into two cases.
% 44.41/14.36  																																						|-Branch one:
% 44.41/14.36  																																						| (801) all_0_91_91 = e1
% 44.41/14.36  																																						|
% 44.41/14.36  																																							| Equations (801) can reduce 959 to:
% 44.41/14.36  																																							| (311) $false
% 44.41/14.36  																																							|
% 44.41/14.36  																																							|-The branch is then unsatisfiable
% 44.41/14.36  																																						|-Branch two:
% 44.41/14.36  																																						| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.36  																																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.36  																																						|
% 44.41/14.36  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 44.41/14.36  																																							|-Branch one:
% 44.41/14.36  																																							| (1456) all_0_91_91 = e0
% 44.41/14.36  																																							|
% 44.41/14.36  																																								| Equations (1456) can reduce 1487 to:
% 44.41/14.36  																																								| (311) $false
% 44.41/14.36  																																								|
% 44.41/14.36  																																								|-The branch is then unsatisfiable
% 44.41/14.36  																																							|-Branch two:
% 44.41/14.36  																																							| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.36  																																							| (1837) all_0_96_96 = e0
% 44.41/14.36  																																							|
% 44.41/14.36  																																								| Equations (1837) can reduce 64 to:
% 44.41/14.36  																																								| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Equations (1837) can reduce 22 to:
% 44.41/14.36  																																								| (938)  ~ (all_0_97_97 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Simplifying 938 yields:
% 44.41/14.36  																																								| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Equations (1837) can reduce 115 to:
% 44.41/14.36  																																								| (904)  ~ (e4 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Simplifying 904 yields:
% 44.41/14.36  																																								| (23)  ~ (e4 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Equations (1837) can reduce 1638 to:
% 44.41/14.36  																																								| (510)  ~ (e2 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								| Simplifying 510 yields:
% 44.41/14.36  																																								| (76)  ~ (e2 = e0)
% 44.41/14.36  																																								|
% 44.41/14.36  																																								+-Applying beta-rule and splitting (151), into two cases.
% 44.41/14.36  																																								|-Branch one:
% 44.41/14.36  																																								| (824) all_0_80_80 = e1
% 44.41/14.36  																																								|
% 44.41/14.36  																																									| Combining equations (546,824) yields a new equation:
% 44.41/14.36  																																									| (408) e2 = e1
% 44.41/14.36  																																									|
% 44.41/14.36  																																									| Simplifying 408 yields:
% 44.41/14.36  																																									| (385) e2 = e1
% 44.41/14.36  																																									|
% 44.41/14.36  																																									| Equations (385) can reduce 243 to:
% 44.41/14.36  																																									| (311) $false
% 44.41/14.36  																																									|
% 44.41/14.36  																																									|-The branch is then unsatisfiable
% 44.41/14.36  																																								|-Branch two:
% 44.41/14.36  																																								| (828)  ~ (all_0_80_80 = e1)
% 44.41/14.36  																																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.36  																																								|
% 44.41/14.36  																																									+-Applying beta-rule and splitting (617), into two cases.
% 44.41/14.36  																																									|-Branch one:
% 44.41/14.36  																																									| (1265) all_0_84_84 = e3
% 44.41/14.36  																																									|
% 44.41/14.36  																																										| Equations (1265) can reduce 612 to:
% 44.41/14.36  																																										| (169)  ~ (e3 = e2)
% 44.41/14.36  																																										|
% 44.41/14.36  																																										+-Applying beta-rule and splitting (112), into two cases.
% 44.41/14.36  																																										|-Branch one:
% 44.41/14.36  																																										| (538) all_0_97_97 = e2
% 44.41/14.36  																																										|
% 44.41/14.36  																																											| Equations (538) can reduce 527 to:
% 44.41/14.36  																																											| (311) $false
% 44.41/14.36  																																											|
% 44.41/14.36  																																											|-The branch is then unsatisfiable
% 44.41/14.36  																																										|-Branch two:
% 44.41/14.36  																																										| (527)  ~ (all_0_97_97 = e2)
% 44.41/14.36  																																										| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.41/14.36  																																										|
% 44.41/14.36  																																											+-Applying beta-rule and splitting (289), into two cases.
% 44.41/14.36  																																											|-Branch one:
% 44.41/14.36  																																											| (954) all_0_85_85 = e0
% 44.41/14.36  																																											|
% 44.41/14.36  																																												| Equations (954) can reduce 128 to:
% 44.41/14.36  																																												| (859)  ~ (e1 = e0)
% 44.41/14.36  																																												|
% 44.41/14.36  																																												| Simplifying 859 yields:
% 44.41/14.36  																																												| (264)  ~ (e1 = e0)
% 44.41/14.36  																																												|
% 44.41/14.36  																																												| From (954) and (197) follows:
% 44.41/14.36  																																												| (10073) op(e3, e0) = all_0_72_72
% 44.41/14.36  																																												|
% 44.41/14.36  																																												| From (954) and (8) follows:
% 44.41/14.36  																																												| (1093) op(e3, e0) = e0
% 44.41/14.36  																																												|
% 44.41/14.36  																																												+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.36  																																												|-Branch one:
% 44.41/14.36  																																												| (482) all_0_87_87 = e1
% 44.41/14.36  																																												|
% 44.41/14.36  																																													| Combining equations (861,482) yields a new equation:
% 44.41/14.36  																																													| (865) e1 = e0
% 44.41/14.36  																																													|
% 44.41/14.36  																																													| Equations (865) can reduce 264 to:
% 44.41/14.36  																																													| (311) $false
% 44.41/14.36  																																													|
% 44.41/14.36  																																													|-The branch is then unsatisfiable
% 44.41/14.36  																																												|-Branch two:
% 44.41/14.36  																																												| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.36  																																												| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.36  																																												|
% 44.41/14.36  																																													+-Applying beta-rule and splitting (108), into two cases.
% 44.41/14.36  																																													|-Branch one:
% 44.41/14.36  																																													| (477) all_0_81_81 = e1
% 44.41/14.36  																																													|
% 44.41/14.36  																																														| Combining equations (477,638) yields a new equation:
% 44.41/14.36  																																														| (814) e4 = e1
% 44.41/14.36  																																														|
% 44.41/14.36  																																														| Equations (814) can reduce 256 to:
% 44.41/14.36  																																														| (311) $false
% 44.41/14.36  																																														|
% 44.41/14.36  																																														|-The branch is then unsatisfiable
% 44.41/14.36  																																													|-Branch two:
% 44.41/14.36  																																													| (628)  ~ (all_0_81_81 = e1)
% 44.41/14.36  																																													| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.36  																																													|
% 44.41/14.36  																																														| Equations (638) can reduce 628 to:
% 44.41/14.36  																																														| (256)  ~ (e4 = e1)
% 44.41/14.36  																																														|
% 44.41/14.36  																																														+-Applying beta-rule and splitting (65), into two cases.
% 44.41/14.36  																																														|-Branch one:
% 44.41/14.36  																																														| (522) all_0_93_93 = e2
% 44.41/14.36  																																														|
% 44.41/14.36  																																															| Equations (522) can reduce 300 to:
% 44.41/14.36  																																															| (311) $false
% 44.41/14.36  																																															|
% 44.41/14.36  																																															|-The branch is then unsatisfiable
% 44.41/14.36  																																														|-Branch two:
% 44.41/14.36  																																														| (300)  ~ (all_0_93_93 = e2)
% 44.41/14.36  																																														| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.41/14.36  																																														|
% 44.41/14.36  																																															+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.36  																																															|-Branch one:
% 44.41/14.36  																																															| (566) all_0_93_93 = e1
% 44.41/14.36  																																															|
% 44.41/14.36  																																																| Equations (566) can reduce 496 to:
% 44.41/14.36  																																																| (681)  ~ (e4 = e1)
% 44.41/14.36  																																																|
% 44.41/14.36  																																																| Simplifying 681 yields:
% 44.41/14.36  																																																| (256)  ~ (e4 = e1)
% 44.41/14.36  																																																|
% 44.41/14.36  																																																+-Applying beta-rule and splitting (541), into two cases.
% 44.41/14.36  																																																|-Branch one:
% 44.41/14.36  																																																| (542) all_0_97_97 = e1
% 44.41/14.36  																																																|
% 44.41/14.36  																																																	| Equations (542) can reduce 609 to:
% 44.41/14.36  																																																	| (264)  ~ (e1 = e0)
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Instantiating formula (262) with e3, e0, e1, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e1, yields:
% 44.41/14.36  																																																	| (845) all_0_72_72 = e1
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 44.41/14.36  																																																	| (10076) all_0_72_72 = e0
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Combining equations (10076,845) yields a new equation:
% 44.41/14.36  																																																	| (865) e1 = e0
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Equations (865) can reduce 264 to:
% 44.41/14.36  																																																	| (311) $false
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	|-The branch is then unsatisfiable
% 44.41/14.36  																																																|-Branch two:
% 44.41/14.36  																																																| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.36  																																																| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.41/14.36  																																																|
% 44.41/14.36  																																																	+-Applying beta-rule and splitting (835), into two cases.
% 44.41/14.36  																																																	|-Branch one:
% 44.41/14.36  																																																	| (836) all_0_92_92 = e1
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																		| Combining equations (442,836) yields a new equation:
% 44.41/14.36  																																																		| (813) e4 = e1
% 44.41/14.36  																																																		|
% 44.41/14.36  																																																		| Simplifying 813 yields:
% 44.41/14.36  																																																		| (814) e4 = e1
% 44.41/14.36  																																																		|
% 44.41/14.36  																																																		| Equations (814) can reduce 256 to:
% 44.41/14.36  																																																		| (311) $false
% 44.41/14.36  																																																		|
% 44.41/14.36  																																																		|-The branch is then unsatisfiable
% 44.41/14.36  																																																	|-Branch two:
% 44.41/14.36  																																																	| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.36  																																																	| (542) all_0_97_97 = e1
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																		| Equations (542) can reduce 486 to:
% 44.41/14.36  																																																		| (311) $false
% 44.41/14.36  																																																		|
% 44.41/14.36  																																																		|-The branch is then unsatisfiable
% 44.41/14.36  																																															|-Branch two:
% 44.41/14.36  																																															| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.36  																																															| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.36  																																															|
% 44.41/14.36  																																																+-Applying beta-rule and splitting (1556), into two cases.
% 44.41/14.36  																																																|-Branch one:
% 44.41/14.36  																																																| (836) all_0_92_92 = e1
% 44.41/14.36  																																																|
% 44.41/14.36  																																																	| Combining equations (836,442) yields a new equation:
% 44.41/14.36  																																																	| (814) e4 = e1
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Equations (814) can reduce 256 to:
% 44.41/14.36  																																																	| (311) $false
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	|-The branch is then unsatisfiable
% 44.41/14.36  																																																|-Branch two:
% 44.41/14.36  																																																| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.36  																																																| (566) all_0_93_93 = e1
% 44.41/14.36  																																																|
% 44.41/14.36  																																																	| Equations (566) can reduce 481 to:
% 44.41/14.36  																																																	| (311) $false
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	|-The branch is then unsatisfiable
% 44.41/14.36  																																											|-Branch two:
% 44.41/14.36  																																											| (800)  ~ (all_0_85_85 = e0)
% 44.41/14.36  																																											| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.41/14.36  																																											|
% 44.41/14.36  																																												+-Applying beta-rule and splitting (1556), into two cases.
% 44.41/14.36  																																												|-Branch one:
% 44.41/14.36  																																												| (836) all_0_92_92 = e1
% 44.41/14.36  																																												|
% 44.41/14.36  																																													| Combining equations (836,442) yields a new equation:
% 44.41/14.36  																																													| (814) e4 = e1
% 44.41/14.36  																																													|
% 44.41/14.36  																																													| Equations (814) can reduce 256 to:
% 44.41/14.36  																																													| (311) $false
% 44.41/14.36  																																													|
% 44.41/14.36  																																													|-The branch is then unsatisfiable
% 44.41/14.36  																																												|-Branch two:
% 44.41/14.36  																																												| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.36  																																												| (566) all_0_93_93 = e1
% 44.41/14.36  																																												|
% 44.41/14.36  																																													| Equations (566) can reduce 44 to:
% 44.41/14.36  																																													| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.36  																																													|
% 44.41/14.36  																																													+-Applying beta-rule and splitting (249), into two cases.
% 44.41/14.36  																																													|-Branch one:
% 44.41/14.36  																																													| (910) all_0_82_82 = e0
% 44.41/14.36  																																													|
% 44.41/14.36  																																														| Combining equations (469,910) yields a new equation:
% 44.41/14.36  																																														| (911) e4 = e0
% 44.41/14.36  																																														|
% 44.41/14.36  																																														| Simplifying 911 yields:
% 44.41/14.36  																																														| (912) e4 = e0
% 44.41/14.36  																																														|
% 44.41/14.36  																																														| Equations (912) can reduce 23 to:
% 44.41/14.36  																																														| (311) $false
% 44.41/14.36  																																														|
% 44.41/14.36  																																														|-The branch is then unsatisfiable
% 44.41/14.36  																																													|-Branch two:
% 44.41/14.36  																																													| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.36  																																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 44.41/14.36  																																													|
% 44.41/14.36  																																														+-Applying beta-rule and splitting (284), into two cases.
% 44.41/14.36  																																														|-Branch one:
% 44.41/14.36  																																														| (1723) all_0_91_91 = e2
% 44.41/14.36  																																														|
% 44.41/14.36  																																															| Equations (1723) can reduce 296 to:
% 44.41/14.36  																																															| (311) $false
% 44.41/14.36  																																															|
% 44.41/14.36  																																															|-The branch is then unsatisfiable
% 44.41/14.36  																																														|-Branch two:
% 44.41/14.36  																																														| (296)  ~ (all_0_91_91 = e2)
% 44.41/14.36  																																														| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.41/14.36  																																														|
% 44.41/14.36  																																															+-Applying beta-rule and splitting (1726), into two cases.
% 44.41/14.36  																																															|-Branch one:
% 44.41/14.36  																																															| (801) all_0_91_91 = e1
% 44.41/14.36  																																															|
% 44.41/14.36  																																																| Equations (801) can reduce 959 to:
% 44.41/14.36  																																																| (311) $false
% 44.41/14.36  																																																|
% 44.41/14.36  																																																|-The branch is then unsatisfiable
% 44.41/14.36  																																															|-Branch two:
% 44.41/14.36  																																															| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.36  																																															| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 44.41/14.36  																																															|
% 44.41/14.36  																																																+-Applying beta-rule and splitting (270), into two cases.
% 44.41/14.36  																																																|-Branch one:
% 44.41/14.36  																																																| (744) all_0_95_95 = e3
% 44.41/14.36  																																																|
% 44.41/14.36  																																																	| Combining equations (767,744) yields a new equation:
% 44.41/14.36  																																																	| (548) e3 = e2
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	| Equations (548) can reduce 169 to:
% 44.41/14.36  																																																	| (311) $false
% 44.41/14.36  																																																	|
% 44.41/14.36  																																																	|-The branch is then unsatisfiable
% 44.41/14.36  																																																|-Branch two:
% 44.41/14.36  																																																| (765)  ~ (all_0_95_95 = e3)
% 44.41/14.37  																																																| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.37  																																																|
% 44.41/14.37  																																																	+-Applying beta-rule and splitting (1880), into two cases.
% 44.41/14.37  																																																	|-Branch one:
% 44.41/14.37  																																																	| (588) all_0_91_91 = e3
% 44.41/14.37  																																																	|
% 44.41/14.37  																																																		| Equations (588) can reduce 1487 to:
% 44.41/14.37  																																																		| (50)  ~ (e3 = e0)
% 44.41/14.37  																																																		|
% 44.41/14.37  																																																		+-Applying beta-rule and splitting (1309), into two cases.
% 44.41/14.37  																																																		|-Branch one:
% 44.41/14.37  																																																		| (798) all_0_83_83 = e0
% 44.41/14.37  																																																		|
% 44.41/14.37  																																																			| Combining equations (453,798) yields a new equation:
% 44.41/14.37  																																																			| (923) e2 = e0
% 44.41/14.37  																																																			|
% 44.41/14.37  																																																			| Simplifying 923 yields:
% 44.41/14.37  																																																			| (379) e2 = e0
% 44.41/14.37  																																																			|
% 44.41/14.37  																																																			| Equations (379) can reduce 76 to:
% 44.41/14.37  																																																			| (311) $false
% 44.41/14.37  																																																			|
% 44.41/14.37  																																																			|-The branch is then unsatisfiable
% 44.41/14.37  																																																		|-Branch two:
% 44.41/14.37  																																																		| (1314)  ~ (all_0_83_83 = e0)
% 44.41/14.37  																																																		| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.41/14.37  																																																		|
% 44.41/14.37  																																																			+-Applying beta-rule and splitting (766), into two cases.
% 44.41/14.37  																																																			|-Branch one:
% 44.41/14.37  																																																			| (778) all_0_96_96 = e3
% 44.41/14.37  																																																			|
% 44.41/14.37  																																																				| Combining equations (778,1837) yields a new equation:
% 44.41/14.37  																																																				| (599) e3 = e0
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																				| Simplifying 599 yields:
% 44.41/14.37  																																																				| (600) e3 = e0
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																				| Equations (600) can reduce 50 to:
% 44.41/14.37  																																																				| (311) $false
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																				|-The branch is then unsatisfiable
% 44.41/14.37  																																																			|-Branch two:
% 44.41/14.37  																																																			| (964)  ~ (all_0_96_96 = e3)
% 44.41/14.37  																																																			| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.37  																																																			|
% 44.41/14.37  																																																				| Equations (1837) can reduce 964 to:
% 44.41/14.37  																																																				| (906)  ~ (e3 = e0)
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																				| Simplifying 906 yields:
% 44.41/14.37  																																																				| (50)  ~ (e3 = e0)
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																				+-Applying beta-rule and splitting (1315), into two cases.
% 44.41/14.37  																																																				|-Branch one:
% 44.41/14.37  																																																				| (916) all_0_84_84 = e0
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																					| Combining equations (1265,916) yields a new equation:
% 44.41/14.37  																																																					| (599) e3 = e0
% 44.41/14.37  																																																					|
% 44.41/14.37  																																																					| Simplifying 599 yields:
% 44.41/14.37  																																																					| (600) e3 = e0
% 44.41/14.37  																																																					|
% 44.41/14.37  																																																					| Equations (600) can reduce 50 to:
% 44.41/14.37  																																																					| (311) $false
% 44.41/14.37  																																																					|
% 44.41/14.37  																																																					|-The branch is then unsatisfiable
% 44.41/14.37  																																																				|-Branch two:
% 44.41/14.37  																																																				| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.37  																																																				| (954) all_0_85_85 = e0
% 44.41/14.37  																																																				|
% 44.41/14.37  																																																					| Equations (954) can reduce 800 to:
% 44.41/14.37  																																																					| (311) $false
% 44.41/14.37  																																																					|
% 44.41/14.37  																																																					|-The branch is then unsatisfiable
% 44.41/14.37  																																																	|-Branch two:
% 44.41/14.37  																																																	| (571)  ~ (all_0_91_91 = e3)
% 44.41/14.37  																																																	| (1456) all_0_91_91 = e0
% 44.41/14.37  																																																	|
% 44.41/14.37  																																																		| Equations (1456) can reduce 1487 to:
% 44.41/14.37  																																																		| (311) $false
% 44.41/14.37  																																																		|
% 44.41/14.37  																																																		|-The branch is then unsatisfiable
% 44.41/14.37  																																									|-Branch two:
% 44.41/14.37  																																									| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.37  																																									| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.41/14.37  																																									|
% 44.41/14.37  																																										+-Applying beta-rule and splitting (1268), into two cases.
% 44.41/14.37  																																										|-Branch one:
% 44.41/14.37  																																										| (916) all_0_84_84 = e0
% 44.41/14.37  																																										|
% 44.41/14.37  																																											| Equations (916) can reduce 919 to:
% 44.41/14.37  																																											| (311) $false
% 44.41/14.37  																																											|
% 44.41/14.37  																																											|-The branch is then unsatisfiable
% 44.41/14.37  																																										|-Branch two:
% 44.41/14.37  																																										| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.37  																																										| (438) all_0_84_84 = e4
% 44.41/14.37  																																										|
% 44.41/14.37  																																											| Equations (438) can reduce 417 to:
% 44.41/14.37  																																											| (311) $false
% 44.41/14.37  																																											|
% 44.41/14.37  																																											|-The branch is then unsatisfiable
% 44.41/14.37  																																					|-Branch two:
% 44.41/14.37  																																					| (762)  ~ (all_0_90_90 = e0)
% 44.41/14.37  																																					| (858) all_0_95_95 = e0
% 44.41/14.37  																																					|
% 44.41/14.37  																																						| Combining equations (767,858) yields a new equation:
% 44.41/14.37  																																						| (923) e2 = e0
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Simplifying 923 yields:
% 44.41/14.37  																																						| (379) e2 = e0
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Equations (379) can reduce 76 to:
% 44.41/14.37  																																						| (311) $false
% 44.41/14.37  																																						|
% 44.41/14.37  																																						|-The branch is then unsatisfiable
% 44.41/14.37  																																			|-Branch two:
% 44.41/14.37  																																			| (1619)  ~ (all_0_92_92 = e4)
% 44.41/14.37  																																			| (607) all_0_93_93 = e4
% 44.41/14.37  																																			|
% 44.41/14.37  																																				| Equations (607) can reduce 496 to:
% 44.41/14.37  																																				| (311) $false
% 44.41/14.37  																																				|
% 44.41/14.37  																																				|-The branch is then unsatisfiable
% 44.41/14.37  																													|-Branch two:
% 44.41/14.37  																													| (465)  ~ (all_0_82_82 = e4)
% 44.41/14.37  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.41/14.37  																													|
% 44.41/14.37  																														+-Applying beta-rule and splitting (472), into two cases.
% 44.41/14.37  																														|-Branch one:
% 44.41/14.37  																														| (438) all_0_84_84 = e4
% 44.41/14.37  																														|
% 44.41/14.37  																															| Equations (438) can reduce 7 to:
% 44.41/14.37  																															| (465)  ~ (all_0_82_82 = e4)
% 44.41/14.37  																															|
% 44.41/14.37  																															| Equations (438) can reduce 154 to:
% 44.41/14.37  																															| (647)  ~ (all_0_85_85 = e4)
% 44.41/14.37  																															|
% 44.41/14.37  																															| Simplifying 647 yields:
% 44.41/14.37  																															| (648)  ~ (all_0_85_85 = e4)
% 44.41/14.37  																															|
% 44.41/14.37  																															| Equations (438) can reduce 87 to:
% 44.41/14.37  																															| (1906)  ~ (all_0_92_92 = e4)
% 44.41/14.37  																															|
% 44.41/14.37  																															| Simplifying 1906 yields:
% 44.41/14.37  																															| (1619)  ~ (all_0_92_92 = e4)
% 44.41/14.37  																															|
% 44.41/14.37  																															| Equations (438) can reduce 612 to:
% 44.41/14.37  																															| (79)  ~ (e4 = e2)
% 44.41/14.37  																															|
% 44.41/14.37  																															| From (438) and (122) follows:
% 44.41/14.37  																															| (9102) op(e1, e4) = all_0_62_62
% 44.41/14.37  																															|
% 44.41/14.37  																															+-Applying beta-rule and splitting (171), into two cases.
% 44.41/14.37  																															|-Branch one:
% 44.41/14.37  																															| (789) all_0_82_82 = e3
% 44.41/14.37  																															|
% 44.41/14.37  																																| Equations (789) can reduce 793 to:
% 44.41/14.37  																																| (311) $false
% 44.41/14.37  																																|
% 44.41/14.37  																																|-The branch is then unsatisfiable
% 44.41/14.37  																															|-Branch two:
% 44.41/14.37  																															| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.37  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.41/14.37  																															|
% 44.41/14.37  																																+-Applying beta-rule and splitting (10), into two cases.
% 44.41/14.37  																																|-Branch one:
% 44.41/14.37  																																| (530) all_0_82_82 = e2
% 44.41/14.37  																																|
% 44.41/14.37  																																	| Equations (530) can reduce 347 to:
% 44.41/14.37  																																	| (311) $false
% 44.41/14.37  																																	|
% 44.41/14.37  																																	|-The branch is then unsatisfiable
% 44.41/14.37  																																|-Branch two:
% 44.41/14.37  																																| (347)  ~ (all_0_82_82 = e2)
% 44.41/14.37  																																| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.41/14.37  																																|
% 44.41/14.37  																																	+-Applying beta-rule and splitting (2205), into two cases.
% 44.41/14.37  																																	|-Branch one:
% 44.41/14.37  																																	| (789) all_0_82_82 = e3
% 44.41/14.37  																																	|
% 44.41/14.37  																																		| Equations (789) can reduce 793 to:
% 44.41/14.37  																																		| (311) $false
% 44.41/14.37  																																		|
% 44.41/14.37  																																		|-The branch is then unsatisfiable
% 44.41/14.37  																																	|-Branch two:
% 44.41/14.37  																																	| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.37  																																	| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.41/14.37  																																	|
% 44.41/14.37  																																		+-Applying beta-rule and splitting (2706), into two cases.
% 44.41/14.37  																																		|-Branch one:
% 44.41/14.37  																																		| (910) all_0_82_82 = e0
% 44.41/14.37  																																		|
% 44.41/14.37  																																			| Equations (910) can reduce 209 to:
% 44.41/14.37  																																			| (799)  ~ (all_0_85_85 = e0)
% 44.41/14.37  																																			|
% 44.41/14.37  																																			| Simplifying 799 yields:
% 44.41/14.37  																																			| (800)  ~ (all_0_85_85 = e0)
% 44.41/14.37  																																			|
% 44.41/14.37  																																			| Equations (910) can reduce 347 to:
% 44.41/14.37  																																			| (510)  ~ (e2 = e0)
% 44.41/14.37  																																			|
% 44.41/14.37  																																			| Simplifying 510 yields:
% 44.41/14.37  																																			| (76)  ~ (e2 = e0)
% 44.41/14.37  																																			|
% 44.41/14.37  																																			+-Applying beta-rule and splitting (46), into two cases.
% 44.41/14.37  																																			|-Branch one:
% 44.41/14.37  																																			| (308) all_0_89_89 = e4
% 44.41/14.37  																																			|
% 44.41/14.37  																																				| Combining equations (292,308) yields a new equation:
% 44.41/14.37  																																				| (310) e4 = e2
% 44.41/14.37  																																				|
% 44.41/14.37  																																				| Equations (310) can reduce 79 to:
% 44.41/14.37  																																				| (311) $false
% 44.41/14.37  																																				|
% 44.41/14.37  																																				|-The branch is then unsatisfiable
% 44.41/14.37  																																			|-Branch two:
% 44.41/14.37  																																			| (312)  ~ (all_0_89_89 = e4)
% 44.41/14.37  																																			| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.37  																																			|
% 44.41/14.37  																																				+-Applying beta-rule and splitting (1296), into two cases.
% 44.41/14.37  																																				|-Branch one:
% 44.41/14.37  																																				| (795) all_0_83_83 = e3
% 44.41/14.37  																																				|
% 44.41/14.37  																																					| Combining equations (453,795) yields a new equation:
% 44.41/14.37  																																					| (548) e3 = e2
% 44.41/14.37  																																					|
% 44.41/14.37  																																					| Equations (548) can reduce 169 to:
% 44.41/14.37  																																					| (311) $false
% 44.41/14.37  																																					|
% 44.41/14.37  																																					|-The branch is then unsatisfiable
% 44.41/14.37  																																				|-Branch two:
% 44.41/14.37  																																				| (779)  ~ (all_0_83_83 = e3)
% 44.41/14.37  																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.41/14.37  																																				|
% 44.41/14.37  																																					+-Applying beta-rule and splitting (1915), into two cases.
% 44.41/14.37  																																					|-Branch one:
% 44.41/14.37  																																					| (583) all_0_90_90 = e4
% 44.41/14.37  																																					|
% 44.41/14.37  																																						| Equations (583) can reduce 103 to:
% 44.41/14.37  																																						| (3634)  ~ (all_0_91_91 = e4)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Simplifying 3634 yields:
% 44.41/14.37  																																						| (133)  ~ (all_0_91_91 = e4)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Equations (583) can reduce 34 to:
% 44.41/14.37  																																						| (495)  ~ (all_0_93_93 = e4)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Simplifying 495 yields:
% 44.41/14.37  																																						| (496)  ~ (all_0_93_93 = e4)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Equations (583) can reduce 745 to:
% 44.41/14.37  																																						| (177)  ~ (e4 = e3)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| Equations (583) can reduce 678 to:
% 44.41/14.37  																																						| (256)  ~ (e4 = e1)
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| From (583) and (35) follows:
% 44.41/14.37  																																						| (10485) op(e1, e4) = all_0_49_49
% 44.41/14.37  																																						|
% 44.41/14.37  																																						| From (583) and (218) follows:
% 44.41/14.37  																																						| (4391) op(e1, e3) = e4
% 44.41/14.37  																																						|
% 44.41/14.37  																																						+-Applying beta-rule and splitting (1594), into two cases.
% 44.41/14.37  																																						|-Branch one:
% 44.41/14.37  																																						| (1265) all_0_84_84 = e3
% 44.41/14.37  																																						|
% 44.41/14.37  																																							| Combining equations (438,1265) yields a new equation:
% 44.41/14.37  																																							| (790) e4 = e3
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Simplifying 790 yields:
% 44.41/14.37  																																							| (434) e4 = e3
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Equations (434) can reduce 177 to:
% 44.41/14.37  																																							| (311) $false
% 44.41/14.37  																																							|
% 44.41/14.37  																																							|-The branch is then unsatisfiable
% 44.41/14.37  																																						|-Branch two:
% 44.41/14.37  																																						| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.37  																																						| (804) all_0_85_85 = e3
% 44.41/14.37  																																						|
% 44.41/14.37  																																							| Equations (804) can reduce 201 to:
% 44.41/14.37  																																							| (807)  ~ (all_0_93_93 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Simplifying 807 yields:
% 44.41/14.37  																																							| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Equations (804) can reduce 75 to:
% 44.41/14.37  																																							| (1518)  ~ (all_0_98_98 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Simplifying 1518 yields:
% 44.41/14.37  																																							| (1519)  ~ (all_0_98_98 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Equations (804) can reduce 648 to:
% 44.41/14.37  																																							| (783)  ~ (e4 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Simplifying 783 yields:
% 44.41/14.37  																																							| (177)  ~ (e4 = e3)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Equations (804) can reduce 128 to:
% 44.41/14.37  																																							| (20)  ~ (e3 = e1)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Equations (804) can reduce 800 to:
% 44.41/14.37  																																							| (50)  ~ (e3 = e0)
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 44.41/14.37  																																							| (10505) all_0_49_49 = e2
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Instantiating formula (262) with e1, e4, all_0_62_62, all_0_49_49 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = all_0_62_62, yields:
% 44.41/14.37  																																							| (10506) all_0_49_49 = all_0_62_62
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Combining equations (10506,10505) yields a new equation:
% 44.41/14.37  																																							| (21524) all_0_62_62 = e2
% 44.41/14.37  																																							|
% 44.41/14.37  																																							| Simplifying 21524 yields:
% 44.41/14.37  																																							| (9103) all_0_62_62 = e2
% 44.41/14.37  																																							|
% 44.41/14.38  																																							| Equations (10505) can reduce 742 to:
% 44.41/14.38  																																							| (356)  ~ (e3 = e2)
% 44.41/14.38  																																							|
% 44.41/14.38  																																							| Simplifying 356 yields:
% 44.41/14.38  																																							| (169)  ~ (e3 = e2)
% 44.41/14.38  																																							|
% 44.41/14.38  																																							+-Applying beta-rule and splitting (276), into two cases.
% 44.41/14.38  																																							|-Branch one:
% 44.41/14.38  																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.41/14.38  																																							|
% 44.41/14.38  																																								+-Applying beta-rule and splitting (577), into two cases.
% 44.41/14.38  																																								|-Branch one:
% 44.41/14.38  																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.41/14.38  																																								|
% 44.41/14.38  																																									+-Applying beta-rule and splitting (578), into two cases.
% 44.41/14.38  																																									|-Branch one:
% 44.41/14.38  																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.41/14.38  																																									|
% 44.41/14.38  																																										| Applying alpha-rule on (579) yields:
% 44.41/14.38  																																										| (580) all_0_60_60 = e4
% 44.41/14.38  																																										| (581)  ~ (all_0_61_61 = e1)
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Combining equations (580,3332) yields a new equation:
% 44.41/14.38  																																										| (21533) all_0_91_91 = e4
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Equations (21533) can reduce 133 to:
% 44.41/14.38  																																										| (311) $false
% 44.41/14.38  																																										|
% 44.41/14.38  																																										|-The branch is then unsatisfiable
% 44.41/14.38  																																									|-Branch two:
% 44.41/14.38  																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.41/14.38  																																									|
% 44.41/14.38  																																										| Applying alpha-rule on (585) yields:
% 44.41/14.38  																																										| (586) all_0_62_62 = e3
% 44.41/14.38  																																										| (587)  ~ (all_0_63_63 = e1)
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Combining equations (586,9103) yields a new equation:
% 44.41/14.38  																																										| (547) e3 = e2
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Simplifying 547 yields:
% 44.41/14.38  																																										| (548) e3 = e2
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Equations (548) can reduce 169 to:
% 44.41/14.38  																																										| (311) $false
% 44.41/14.38  																																										|
% 44.41/14.38  																																										|-The branch is then unsatisfiable
% 44.41/14.38  																																								|-Branch two:
% 44.41/14.38  																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.41/14.38  																																								|
% 44.41/14.38  																																									| Applying alpha-rule on (590) yields:
% 44.41/14.38  																																									| (591) all_0_64_64 = e2
% 44.41/14.38  																																									| (592)  ~ (all_0_65_65 = e1)
% 44.41/14.38  																																									|
% 44.41/14.38  																																									| Combining equations (591,8320) yields a new equation:
% 44.41/14.38  																																									| (522) all_0_93_93 = e2
% 44.41/14.38  																																									|
% 44.41/14.38  																																									| Equations (522) can reduce 300 to:
% 44.41/14.38  																																									| (311) $false
% 44.41/14.38  																																									|
% 44.41/14.38  																																									|-The branch is then unsatisfiable
% 44.41/14.38  																																							|-Branch two:
% 44.41/14.38  																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.41/14.38  																																							|
% 44.41/14.38  																																								| Applying alpha-rule on (596) yields:
% 44.41/14.38  																																								| (597) all_0_67_67 = e0
% 44.41/14.38  																																								| (598)  ~ (all_0_68_68 = e1)
% 44.41/14.38  																																								|
% 44.41/14.38  																																								| From (597) and (252) follows:
% 44.41/14.38  																																								| (8666) op(e1, all_0_97_97) = e0
% 44.41/14.38  																																								|
% 44.41/14.38  																																								+-Applying beta-rule and splitting (289), into two cases.
% 44.41/14.38  																																								|-Branch one:
% 44.41/14.38  																																								| (954) all_0_85_85 = e0
% 44.41/14.38  																																								|
% 44.41/14.38  																																									| Combining equations (804,954) yields a new equation:
% 44.41/14.38  																																									| (599) e3 = e0
% 44.41/14.38  																																									|
% 44.41/14.38  																																									| Simplifying 599 yields:
% 44.41/14.38  																																									| (600) e3 = e0
% 44.41/14.38  																																									|
% 44.41/14.38  																																									| Equations (600) can reduce 50 to:
% 44.41/14.38  																																									| (311) $false
% 44.41/14.38  																																									|
% 44.41/14.38  																																									|-The branch is then unsatisfiable
% 44.41/14.38  																																								|-Branch two:
% 44.41/14.38  																																								| (800)  ~ (all_0_85_85 = e0)
% 44.41/14.38  																																								| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.41/14.38  																																								|
% 44.41/14.38  																																									| Equations (804) can reduce 800 to:
% 44.41/14.38  																																									| (50)  ~ (e3 = e0)
% 44.41/14.38  																																									|
% 44.41/14.38  																																									+-Applying beta-rule and splitting (176), into two cases.
% 44.41/14.38  																																									|-Branch one:
% 44.41/14.38  																																									| (785) all_0_95_95 = e1
% 44.41/14.38  																																									|
% 44.41/14.38  																																										| Combining equations (785,767) yields a new equation:
% 44.41/14.38  																																										| (385) e2 = e1
% 44.41/14.38  																																										|
% 44.41/14.38  																																										| Equations (385) can reduce 243 to:
% 44.41/14.38  																																										| (311) $false
% 44.41/14.38  																																										|
% 44.41/14.38  																																										|-The branch is then unsatisfiable
% 44.41/14.38  																																									|-Branch two:
% 44.41/14.38  																																									| (680)  ~ (all_0_95_95 = e1)
% 44.41/14.38  																																									| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.41/14.38  																																									|
% 44.41/14.38  																																										| Equations (767) can reduce 680 to:
% 44.41/14.38  																																										| (243)  ~ (e2 = e1)
% 44.41/14.38  																																										|
% 44.41/14.38  																																										+-Applying beta-rule and splitting (108), into two cases.
% 44.41/14.38  																																										|-Branch one:
% 44.41/14.38  																																										| (477) all_0_81_81 = e1
% 44.41/14.38  																																										|
% 44.41/14.38  																																											| Combining equations (638,477) yields a new equation:
% 44.41/14.38  																																											| (813) e4 = e1
% 44.41/14.38  																																											|
% 44.41/14.38  																																											| Simplifying 813 yields:
% 44.41/14.38  																																											| (814) e4 = e1
% 44.41/14.38  																																											|
% 44.41/14.38  																																											| Equations (814) can reduce 256 to:
% 44.41/14.38  																																											| (311) $false
% 44.41/14.38  																																											|
% 44.41/14.38  																																											|-The branch is then unsatisfiable
% 44.41/14.38  																																										|-Branch two:
% 44.41/14.38  																																										| (628)  ~ (all_0_81_81 = e1)
% 44.41/14.38  																																										| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.38  																																										|
% 44.41/14.38  																																											| Equations (638) can reduce 628 to:
% 44.41/14.38  																																											| (256)  ~ (e4 = e1)
% 44.41/14.38  																																											|
% 44.41/14.38  																																											+-Applying beta-rule and splitting (84), into two cases.
% 44.41/14.38  																																											|-Branch one:
% 44.41/14.38  																																											| (1704) all_0_96_96 = e2
% 44.41/14.38  																																											|
% 44.41/14.38  																																												| Equations (1704) can reduce 1638 to:
% 44.41/14.38  																																												| (311) $false
% 44.41/14.38  																																												|
% 44.41/14.38  																																												|-The branch is then unsatisfiable
% 44.41/14.38  																																											|-Branch two:
% 44.41/14.38  																																											| (1638)  ~ (all_0_96_96 = e2)
% 44.41/14.38  																																											| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.41/14.38  																																											|
% 44.41/14.38  																																												+-Applying beta-rule and splitting (285), into two cases.
% 44.41/14.38  																																												|-Branch one:
% 44.41/14.38  																																												| (1708) all_0_79_79 = e3
% 44.41/14.38  																																												|
% 44.41/14.38  																																													| Combining equations (1708,457) yields a new equation:
% 44.41/14.38  																																													| (825) e3 = e1
% 44.41/14.38  																																													|
% 44.41/14.38  																																													| Simplifying 825 yields:
% 44.41/14.38  																																													| (772) e3 = e1
% 44.41/14.38  																																													|
% 44.41/14.38  																																													| Equations (772) can reduce 20 to:
% 44.41/14.38  																																													| (311) $false
% 44.41/14.38  																																													|
% 44.41/14.38  																																													|-The branch is then unsatisfiable
% 44.41/14.38  																																												|-Branch two:
% 44.41/14.38  																																												| (1711)  ~ (all_0_79_79 = e3)
% 44.41/14.38  																																												| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.41/14.38  																																												|
% 44.41/14.38  																																													| Equations (457) can reduce 1711 to:
% 44.41/14.38  																																													| (683)  ~ (e3 = e1)
% 44.41/14.38  																																													|
% 44.41/14.38  																																													| Simplifying 683 yields:
% 44.41/14.38  																																													| (20)  ~ (e3 = e1)
% 44.41/14.38  																																													|
% 44.41/14.38  																																													+-Applying beta-rule and splitting (102), into two cases.
% 44.41/14.38  																																													|-Branch one:
% 44.41/14.38  																																													| (858) all_0_95_95 = e0
% 44.41/14.38  																																													|
% 44.41/14.38  																																														| Combining equations (767,858) yields a new equation:
% 44.41/14.38  																																														| (923) e2 = e0
% 44.41/14.38  																																														|
% 44.41/14.38  																																														| Simplifying 923 yields:
% 44.41/14.38  																																														| (379) e2 = e0
% 44.41/14.38  																																														|
% 44.41/14.38  																																														| Equations (379) can reduce 76 to:
% 44.41/14.38  																																														| (311) $false
% 44.41/14.38  																																														|
% 44.41/14.38  																																														|-The branch is then unsatisfiable
% 44.41/14.38  																																													|-Branch two:
% 44.41/14.38  																																													| (893)  ~ (all_0_95_95 = e0)
% 44.41/14.38  																																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.41/14.38  																																													|
% 44.41/14.38  																																														+-Applying beta-rule and splitting (151), into two cases.
% 44.41/14.38  																																														|-Branch one:
% 44.41/14.38  																																														| (824) all_0_80_80 = e1
% 44.41/14.38  																																														|
% 44.41/14.38  																																															| Combining equations (824,546) yields a new equation:
% 44.41/14.38  																																															| (385) e2 = e1
% 44.41/14.38  																																															|
% 44.41/14.38  																																															| Equations (385) can reduce 243 to:
% 44.41/14.38  																																															| (311) $false
% 44.41/14.38  																																															|
% 44.41/14.38  																																															|-The branch is then unsatisfiable
% 44.41/14.38  																																														|-Branch two:
% 44.41/14.38  																																														| (828)  ~ (all_0_80_80 = e1)
% 44.41/14.38  																																														| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.38  																																														|
% 44.41/14.38  																																															+-Applying beta-rule and splitting (132), into two cases.
% 44.41/14.38  																																															|-Branch one:
% 44.41/14.38  																																															| (750) all_0_90_90 = e1
% 44.41/14.38  																																															|
% 44.41/14.38  																																																| Combining equations (583,750) yields a new equation:
% 44.41/14.38  																																																| (813) e4 = e1
% 44.41/14.38  																																																|
% 44.41/14.38  																																																| Simplifying 813 yields:
% 44.41/14.38  																																																| (814) e4 = e1
% 44.41/14.38  																																																|
% 44.41/14.38  																																																| Equations (814) can reduce 256 to:
% 44.41/14.38  																																																| (311) $false
% 44.41/14.38  																																																|
% 44.41/14.38  																																																|-The branch is then unsatisfiable
% 44.41/14.38  																																															|-Branch two:
% 44.41/14.38  																																															| (678)  ~ (all_0_90_90 = e1)
% 44.41/14.38  																																															| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.38  																																															|
% 44.41/14.38  																																																+-Applying beta-rule and splitting (282), into two cases.
% 44.41/14.38  																																																|-Branch one:
% 44.41/14.38  																																																| (754) all_0_90_90 = e3
% 44.41/14.38  																																																|
% 44.41/14.38  																																																	| Combining equations (583,754) yields a new equation:
% 44.41/14.38  																																																	| (790) e4 = e3
% 44.41/14.38  																																																	|
% 44.41/14.38  																																																	| Simplifying 790 yields:
% 44.41/14.38  																																																	| (434) e4 = e3
% 44.41/14.38  																																																	|
% 44.41/14.38  																																																	| Equations (434) can reduce 177 to:
% 44.41/14.38  																																																	| (311) $false
% 44.41/14.38  																																																	|
% 44.41/14.38  																																																	|-The branch is then unsatisfiable
% 44.41/14.38  																																																|-Branch two:
% 44.41/14.38  																																																| (745)  ~ (all_0_90_90 = e3)
% 44.41/14.38  																																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.41/14.38  																																																|
% 44.41/14.38  																																																	+-Applying beta-rule and splitting (270), into two cases.
% 44.41/14.38  																																																	|-Branch one:
% 44.41/14.38  																																																	| (744) all_0_95_95 = e3
% 44.41/14.38  																																																	|
% 44.41/14.38  																																																		| Combining equations (744,767) yields a new equation:
% 44.41/14.38  																																																		| (547) e3 = e2
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																		| Simplifying 547 yields:
% 44.41/14.38  																																																		| (548) e3 = e2
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																		| Equations (548) can reduce 169 to:
% 44.41/14.38  																																																		| (311) $false
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																		|-The branch is then unsatisfiable
% 44.41/14.38  																																																	|-Branch two:
% 44.41/14.38  																																																	| (765)  ~ (all_0_95_95 = e3)
% 44.41/14.38  																																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.38  																																																	|
% 44.41/14.38  																																																		| Equations (767) can reduce 765 to:
% 44.41/14.38  																																																		| (356)  ~ (e3 = e2)
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																		| Simplifying 356 yields:
% 44.41/14.38  																																																		| (169)  ~ (e3 = e2)
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																		+-Applying beta-rule and splitting (207), into two cases.
% 44.41/14.38  																																																		|-Branch one:
% 44.41/14.38  																																																		| (416) all_0_80_80 = e3
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																			| Combining equations (416,546) yields a new equation:
% 44.41/14.38  																																																			| (547) e3 = e2
% 44.41/14.38  																																																			|
% 44.41/14.38  																																																			| Simplifying 547 yields:
% 44.41/14.38  																																																			| (548) e3 = e2
% 44.41/14.38  																																																			|
% 44.41/14.38  																																																			| Equations (548) can reduce 169 to:
% 44.41/14.38  																																																			| (311) $false
% 44.41/14.38  																																																			|
% 44.41/14.38  																																																			|-The branch is then unsatisfiable
% 44.41/14.38  																																																		|-Branch two:
% 44.41/14.38  																																																		| (2347)  ~ (all_0_80_80 = e3)
% 44.41/14.38  																																																		| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.41/14.38  																																																		|
% 44.41/14.38  																																																			+-Applying beta-rule and splitting (65), into two cases.
% 44.41/14.38  																																																			|-Branch one:
% 44.41/14.38  																																																			| (522) all_0_93_93 = e2
% 44.41/14.38  																																																			|
% 44.41/14.38  																																																				| Equations (522) can reduce 300 to:
% 44.41/14.38  																																																				| (311) $false
% 44.41/14.38  																																																				|
% 44.41/14.38  																																																				|-The branch is then unsatisfiable
% 44.41/14.38  																																																			|-Branch two:
% 44.41/14.38  																																																			| (300)  ~ (all_0_93_93 = e2)
% 44.41/14.38  																																																			| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.41/14.38  																																																			|
% 44.41/14.38  																																																				+-Applying beta-rule and splitting (112), into two cases.
% 44.41/14.38  																																																				|-Branch one:
% 44.41/14.38  																																																				| (538) all_0_97_97 = e2
% 44.41/14.38  																																																				|
% 44.41/14.38  																																																					| Equations (538) can reduce 527 to:
% 44.41/14.38  																																																					| (311) $false
% 44.41/14.38  																																																					|
% 44.41/14.38  																																																					|-The branch is then unsatisfiable
% 44.41/14.38  																																																				|-Branch two:
% 44.41/14.38  																																																				| (527)  ~ (all_0_97_97 = e2)
% 44.41/14.38  																																																				| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.41/14.38  																																																				|
% 44.41/14.38  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 44.41/14.38  																																																					|-Branch one:
% 44.41/14.38  																																																					| (1456) all_0_91_91 = e0
% 44.41/14.38  																																																					|
% 44.41/14.38  																																																						| Equations (1456) can reduce 64 to:
% 44.41/14.38  																																																						| (2296)  ~ (all_0_96_96 = e0)
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																						| Simplifying 2296 yields:
% 44.41/14.38  																																																						| (2095)  ~ (all_0_96_96 = e0)
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																						| Equations (1456) can reduce 959 to:
% 44.41/14.38  																																																						| (859)  ~ (e1 = e0)
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																						| Simplifying 859 yields:
% 44.41/14.38  																																																						| (264)  ~ (e1 = e0)
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																						| From (1456) and (1703) follows:
% 44.41/14.38  																																																						| (2305) op(e2, e0) = e1
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																						+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.38  																																																						|-Branch one:
% 44.41/14.38  																																																						| (566) all_0_93_93 = e1
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																							| Equations (566) can reduce 13 to:
% 44.41/14.38  																																																							| (1803)  ~ (all_0_98_98 = e1)
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																							| Simplifying 1803 yields:
% 44.41/14.38  																																																							| (1804)  ~ (all_0_98_98 = e1)
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																							+-Applying beta-rule and splitting (788), into two cases.
% 44.41/14.38  																																																							|-Branch one:
% 44.41/14.38  																																																							| (960) all_0_96_96 = e1
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																								| Equations (960) can reduce 1479 to:
% 44.41/14.38  																																																								| (311) $false
% 44.41/14.38  																																																								|
% 44.41/14.38  																																																								|-The branch is then unsatisfiable
% 44.41/14.38  																																																							|-Branch two:
% 44.41/14.38  																																																							| (1479)  ~ (all_0_96_96 = e1)
% 44.41/14.38  																																																							| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																								+-Applying beta-rule and splitting (1921), into two cases.
% 44.41/14.38  																																																								|-Branch one:
% 44.41/14.38  																																																								| (1837) all_0_96_96 = e0
% 44.41/14.38  																																																								|
% 44.41/14.38  																																																									| Equations (1837) can reduce 2095 to:
% 44.41/14.38  																																																									| (311) $false
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									|-The branch is then unsatisfiable
% 44.41/14.38  																																																								|-Branch two:
% 44.41/14.38  																																																								| (2095)  ~ (all_0_96_96 = e0)
% 44.41/14.38  																																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.41/14.38  																																																								|
% 44.41/14.38  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 44.41/14.38  																																																									|-Branch one:
% 44.41/14.38  																																																									| (560) all_0_97_97 = e0
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																										| Equations (560) can reduce 609 to:
% 44.41/14.38  																																																										| (311) $false
% 44.41/14.38  																																																										|
% 44.41/14.38  																																																										|-The branch is then unsatisfiable
% 44.41/14.38  																																																									|-Branch two:
% 44.41/14.38  																																																									| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.38  																																																									| (1121) all_0_98_98 = e0
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																										| Equations (1121) can reduce 1804 to:
% 44.41/14.38  																																																										| (859)  ~ (e1 = e0)
% 44.41/14.38  																																																										|
% 44.41/14.38  																																																										| Simplifying 859 yields:
% 44.41/14.38  																																																										| (264)  ~ (e1 = e0)
% 44.41/14.38  																																																										|
% 44.41/14.38  																																																										+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.38  																																																										|-Branch one:
% 44.41/14.38  																																																										| (482) all_0_87_87 = e1
% 44.41/14.38  																																																										|
% 44.41/14.38  																																																											| Combining equations (861,482) yields a new equation:
% 44.41/14.38  																																																											| (865) e1 = e0
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																											| Equations (865) can reduce 264 to:
% 44.41/14.38  																																																											| (311) $false
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																											|-The branch is then unsatisfiable
% 44.41/14.38  																																																										|-Branch two:
% 44.41/14.38  																																																										| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.38  																																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.38  																																																										|
% 44.41/14.38  																																																											| Equations (861) can reduce 625 to:
% 44.41/14.38  																																																											| (859)  ~ (e1 = e0)
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																											| Simplifying 859 yields:
% 44.41/14.38  																																																											| (264)  ~ (e1 = e0)
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																											+-Applying beta-rule and splitting (2126), into two cases.
% 44.41/14.38  																																																											|-Branch one:
% 44.41/14.38  																																																											| (542) all_0_97_97 = e1
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																												| Equations (542) can reduce 527 to:
% 44.41/14.38  																																																												| (487)  ~ (e2 = e1)
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												| Simplifying 487 yields:
% 44.41/14.38  																																																												| (243)  ~ (e2 = e1)
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 44.41/14.38  																																																												| (385) e2 = e1
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												| Equations (385) can reduce 243 to:
% 44.41/14.38  																																																												| (311) $false
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												|-The branch is then unsatisfiable
% 44.41/14.38  																																																											|-Branch two:
% 44.41/14.38  																																																											| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.38  																																																											| (1543) all_0_98_98 = e1
% 44.41/14.38  																																																											|
% 44.41/14.38  																																																												| Combining equations (1543,1121) yields a new equation:
% 44.41/14.38  																																																												| (1107) e1 = e0
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												| Simplifying 1107 yields:
% 44.41/14.38  																																																												| (865) e1 = e0
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												| Equations (865) can reduce 264 to:
% 44.41/14.38  																																																												| (311) $false
% 44.41/14.38  																																																												|
% 44.41/14.38  																																																												|-The branch is then unsatisfiable
% 44.41/14.38  																																																						|-Branch two:
% 44.41/14.38  																																																						| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.38  																																																						| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.38  																																																						|
% 44.41/14.38  																																																							+-Applying beta-rule and splitting (1707), into two cases.
% 44.41/14.38  																																																							|-Branch one:
% 44.41/14.38  																																																							| (960) all_0_96_96 = e1
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																								| Equations (960) can reduce 1479 to:
% 44.41/14.38  																																																								| (311) $false
% 44.41/14.38  																																																								|
% 44.41/14.38  																																																								|-The branch is then unsatisfiable
% 44.41/14.38  																																																							|-Branch two:
% 44.41/14.38  																																																							| (1479)  ~ (all_0_96_96 = e1)
% 44.41/14.38  																																																							| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.41/14.38  																																																							|
% 44.41/14.38  																																																								+-Applying beta-rule and splitting (2016), into two cases.
% 44.41/14.38  																																																								|-Branch one:
% 44.41/14.38  																																																								| (778) all_0_96_96 = e3
% 44.41/14.38  																																																								|
% 44.41/14.38  																																																									| Equations (778) can reduce 22 to:
% 44.41/14.38  																																																									| (427)  ~ (all_0_97_97 = e3)
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									| Simplifying 427 yields:
% 44.41/14.38  																																																									| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									| Equations (778) can reduce 115 to:
% 44.41/14.38  																																																									| (783)  ~ (e4 = e3)
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									| Simplifying 783 yields:
% 44.41/14.38  																																																									| (177)  ~ (e4 = e3)
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									| Equations (778) can reduce 1479 to:
% 44.41/14.38  																																																									| (20)  ~ (e3 = e1)
% 44.41/14.38  																																																									|
% 44.41/14.38  																																																									+-Applying beta-rule and splitting (2481), into two cases.
% 44.41/14.38  																																																									|-Branch one:
% 44.41/14.38  																																																									| (1265) all_0_84_84 = e3
% 44.41/14.38  																																																									|
% 44.41/14.39  																																																										| Combining equations (1265,438) yields a new equation:
% 44.41/14.39  																																																										| (434) e4 = e3
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										| Equations (434) can reduce 177 to:
% 44.41/14.39  																																																										| (311) $false
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										|-The branch is then unsatisfiable
% 44.41/14.39  																																																									|-Branch two:
% 44.41/14.39  																																																									| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.39  																																																									| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																										+-Applying beta-rule and splitting (3765), into two cases.
% 44.41/14.39  																																																										|-Branch one:
% 44.41/14.39  																																																										| (882) all_0_92_92 = e3
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Equations (882) can reduce 258 to:
% 44.41/14.39  																																																											| (427)  ~ (all_0_97_97 = e3)
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											| Simplifying 427 yields:
% 44.41/14.39  																																																											| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.39  																																																											|-Branch one:
% 44.41/14.39  																																																											| (482) all_0_87_87 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												| Combining equations (861,482) yields a new equation:
% 44.41/14.39  																																																												| (865) e1 = e0
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																												| Equations (865) can reduce 264 to:
% 44.41/14.39  																																																												| (311) $false
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																												|-The branch is then unsatisfiable
% 44.41/14.39  																																																											|-Branch two:
% 44.41/14.39  																																																											| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.39  																																																											| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												+-Applying beta-rule and splitting (835), into two cases.
% 44.41/14.39  																																																												|-Branch one:
% 44.41/14.39  																																																												| (836) all_0_92_92 = e1
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													| Combining equations (882,836) yields a new equation:
% 44.41/14.39  																																																													| (825) e3 = e1
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													| Simplifying 825 yields:
% 44.41/14.39  																																																													| (772) e3 = e1
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													| Equations (772) can reduce 20 to:
% 44.41/14.39  																																																													| (311) $false
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													|-The branch is then unsatisfiable
% 44.41/14.39  																																																												|-Branch two:
% 44.41/14.39  																																																												| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.39  																																																												| (542) all_0_97_97 = e1
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													| Equations (542) can reduce 428 to:
% 44.41/14.39  																																																													| (683)  ~ (e3 = e1)
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													| Simplifying 683 yields:
% 44.41/14.39  																																																													| (20)  ~ (e3 = e1)
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													| Equations (542) can reduce 609 to:
% 44.41/14.39  																																																													| (264)  ~ (e1 = e0)
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													+-Applying beta-rule and splitting (1526), into two cases.
% 44.41/14.39  																																																													|-Branch one:
% 44.41/14.39  																																																													| (801) all_0_91_91 = e1
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														| Combining equations (1456,801) yields a new equation:
% 44.41/14.39  																																																														| (865) e1 = e0
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Equations (865) can reduce 264 to:
% 44.41/14.39  																																																														| (311) $false
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														|-The branch is then unsatisfiable
% 44.41/14.39  																																																													|-Branch two:
% 44.41/14.39  																																																													| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.39  																																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														+-Applying beta-rule and splitting (1556), into two cases.
% 44.41/14.39  																																																														|-Branch one:
% 44.41/14.39  																																																														| (836) all_0_92_92 = e1
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																															| Combining equations (882,836) yields a new equation:
% 44.41/14.39  																																																															| (825) e3 = e1
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															| Simplifying 825 yields:
% 44.41/14.39  																																																															| (772) e3 = e1
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															| Equations (772) can reduce 20 to:
% 44.41/14.39  																																																															| (311) $false
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															|-The branch is then unsatisfiable
% 44.41/14.39  																																																														|-Branch two:
% 44.41/14.39  																																																														| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.39  																																																														| (566) all_0_93_93 = e1
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																															| Equations (566) can reduce 481 to:
% 44.41/14.39  																																																															| (311) $false
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															|-The branch is then unsatisfiable
% 44.41/14.39  																																																										|-Branch two:
% 44.41/14.39  																																																										| (426)  ~ (all_0_92_92 = e3)
% 44.41/14.39  																																																										| (556) all_0_97_97 = e3
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Equations (556) can reduce 428 to:
% 44.41/14.39  																																																											| (311) $false
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											|-The branch is then unsatisfiable
% 44.41/14.39  																																																								|-Branch two:
% 44.41/14.39  																																																								| (964)  ~ (all_0_96_96 = e3)
% 44.41/14.39  																																																								| (1837) all_0_96_96 = e0
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																									| Equations (1837) can reduce 2095 to:
% 44.41/14.39  																																																									| (311) $false
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																									|-The branch is then unsatisfiable
% 44.41/14.39  																																																					|-Branch two:
% 44.41/14.39  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.39  																																																					| (1837) all_0_96_96 = e0
% 44.41/14.39  																																																					|
% 44.41/14.39  																																																						| Equations (1837) can reduce 1479 to:
% 44.41/14.39  																																																						| (859)  ~ (e1 = e0)
% 44.41/14.39  																																																						|
% 44.41/14.39  																																																						| Simplifying 859 yields:
% 44.41/14.39  																																																						| (264)  ~ (e1 = e0)
% 44.41/14.39  																																																						|
% 44.41/14.39  																																																						+-Applying beta-rule and splitting (766), into two cases.
% 44.41/14.39  																																																						|-Branch one:
% 44.41/14.39  																																																						| (778) all_0_96_96 = e3
% 44.41/14.39  																																																						|
% 44.41/14.39  																																																							| Combining equations (778,1837) yields a new equation:
% 44.41/14.39  																																																							| (599) e3 = e0
% 44.41/14.39  																																																							|
% 44.41/14.39  																																																							| Simplifying 599 yields:
% 44.41/14.39  																																																							| (600) e3 = e0
% 44.41/14.39  																																																							|
% 44.41/14.39  																																																							| Equations (600) can reduce 50 to:
% 44.41/14.39  																																																							| (311) $false
% 44.41/14.39  																																																							|
% 44.41/14.39  																																																							|-The branch is then unsatisfiable
% 44.41/14.39  																																																						|-Branch two:
% 44.41/14.39  																																																						| (964)  ~ (all_0_96_96 = e3)
% 44.41/14.39  																																																						| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.39  																																																						|
% 44.41/14.39  																																																							+-Applying beta-rule and splitting (965), into two cases.
% 44.41/14.39  																																																							|-Branch one:
% 44.41/14.39  																																																							| (556) all_0_97_97 = e3
% 44.41/14.39  																																																							|
% 44.41/14.39  																																																								| Equations (556) can reduce 527 to:
% 44.41/14.39  																																																								| (169)  ~ (e3 = e2)
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																								| From (556) and (8666) follows:
% 44.41/14.39  																																																								| (8938) op(e1, e3) = e0
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																								+-Applying beta-rule and splitting (788), into two cases.
% 44.41/14.39  																																																								|-Branch one:
% 44.41/14.39  																																																								| (960) all_0_96_96 = e1
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																									| Combining equations (1837,960) yields a new equation:
% 44.41/14.39  																																																									| (865) e1 = e0
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																									| Equations (865) can reduce 264 to:
% 44.41/14.39  																																																									| (311) $false
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																									|-The branch is then unsatisfiable
% 44.41/14.39  																																																								|-Branch two:
% 44.41/14.39  																																																								| (1479)  ~ (all_0_96_96 = e1)
% 44.41/14.39  																																																								| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																									+-Applying beta-rule and splitting (849), into two cases.
% 44.41/14.39  																																																									|-Branch one:
% 44.41/14.39  																																																									| (588) all_0_91_91 = e3
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																										| Equations (588) can reduce 44 to:
% 44.41/14.39  																																																										| (807)  ~ (all_0_93_93 = e3)
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										| Simplifying 807 yields:
% 44.41/14.39  																																																										| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										| Equations (588) can reduce 959 to:
% 44.41/14.39  																																																										| (20)  ~ (e3 = e1)
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										| From (588) and (51) follows:
% 44.41/14.39  																																																										| (15066) op(e1, e3) = all_0_57_57
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																										+-Applying beta-rule and splitting (2126), into two cases.
% 44.41/14.39  																																																										|-Branch one:
% 44.41/14.39  																																																										| (542) all_0_97_97 = e1
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Combining equations (556,542) yields a new equation:
% 44.41/14.39  																																																											| (825) e3 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											| Simplifying 825 yields:
% 44.41/14.39  																																																											| (772) e3 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											| Equations (772) can reduce 20 to:
% 44.41/14.39  																																																											| (311) $false
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											|-The branch is then unsatisfiable
% 44.41/14.39  																																																										|-Branch two:
% 44.41/14.39  																																																										| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.39  																																																										| (1543) all_0_98_98 = e1
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Equations (1543) can reduce 13 to:
% 44.41/14.39  																																																											| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.39  																																																											|-Branch one:
% 44.41/14.39  																																																											| (566) all_0_93_93 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												| Equations (566) can reduce 481 to:
% 44.41/14.39  																																																												| (311) $false
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																												|-The branch is then unsatisfiable
% 44.41/14.39  																																																											|-Branch two:
% 44.41/14.39  																																																											| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.39  																																																											| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												+-Applying beta-rule and splitting (569), into two cases.
% 44.41/14.39  																																																												|-Branch one:
% 44.41/14.39  																																																												| (570) all_0_93_93 = e3
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													| Equations (570) can reduce 602 to:
% 44.41/14.39  																																																													| (311) $false
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													|-The branch is then unsatisfiable
% 44.41/14.39  																																																												|-Branch two:
% 44.41/14.39  																																																												| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.39  																																																												| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													+-Applying beta-rule and splitting (603), into two cases.
% 44.41/14.39  																																																													|-Branch one:
% 44.41/14.39  																																																													| (604) all_0_93_93 = e0
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														| Equations (604) can reduce 496 to:
% 44.41/14.39  																																																														| (904)  ~ (e4 = e0)
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Simplifying 904 yields:
% 44.41/14.39  																																																														| (23)  ~ (e4 = e0)
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Instantiating formula (262) with e1, e3, all_0_57_57, e4 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = e4, yields:
% 44.41/14.39  																																																														| (15069) all_0_57_57 = e4
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Instantiating formula (262) with e1, e3, e0, all_0_57_57 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = e0, yields:
% 44.41/14.39  																																																														| (10796) all_0_57_57 = e0
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Combining equations (10796,15069) yields a new equation:
% 44.41/14.39  																																																														| (912) e4 = e0
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Equations (912) can reduce 23 to:
% 44.41/14.39  																																																														| (311) $false
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														|-The branch is then unsatisfiable
% 44.41/14.39  																																																													|-Branch two:
% 44.41/14.39  																																																													| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.39  																																																													| (607) all_0_93_93 = e4
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														| Equations (607) can reduce 496 to:
% 44.41/14.39  																																																														| (311) $false
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														|-The branch is then unsatisfiable
% 44.41/14.39  																																																									|-Branch two:
% 44.41/14.39  																																																									| (571)  ~ (all_0_91_91 = e3)
% 44.41/14.39  																																																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.41/14.39  																																																									|
% 44.41/14.39  																																																										+-Applying beta-rule and splitting (2126), into two cases.
% 44.41/14.39  																																																										|-Branch one:
% 44.41/14.39  																																																										| (542) all_0_97_97 = e1
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Combining equations (542,556) yields a new equation:
% 44.41/14.39  																																																											| (772) e3 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											| Equations (772) can reduce 20 to:
% 44.41/14.39  																																																											| (311) $false
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											|-The branch is then unsatisfiable
% 44.41/14.39  																																																										|-Branch two:
% 44.41/14.39  																																																										| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.39  																																																										| (1543) all_0_98_98 = e1
% 44.41/14.39  																																																										|
% 44.41/14.39  																																																											| Equations (1543) can reduce 13 to:
% 44.41/14.39  																																																											| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																											+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.39  																																																											|-Branch one:
% 44.41/14.39  																																																											| (566) all_0_93_93 = e1
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												| Equations (566) can reduce 481 to:
% 44.41/14.39  																																																												| (311) $false
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																												|-The branch is then unsatisfiable
% 44.41/14.39  																																																											|-Branch two:
% 44.41/14.39  																																																											| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.39  																																																											| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.39  																																																											|
% 44.41/14.39  																																																												+-Applying beta-rule and splitting (569), into two cases.
% 44.41/14.39  																																																												|-Branch one:
% 44.41/14.39  																																																												| (570) all_0_93_93 = e3
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													| Equations (570) can reduce 602 to:
% 44.41/14.39  																																																													| (311) $false
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																													|-The branch is then unsatisfiable
% 44.41/14.39  																																																												|-Branch two:
% 44.41/14.39  																																																												| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.39  																																																												| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.41/14.39  																																																												|
% 44.41/14.39  																																																													+-Applying beta-rule and splitting (603), into two cases.
% 44.41/14.39  																																																													|-Branch one:
% 44.41/14.39  																																																													| (604) all_0_93_93 = e0
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														| Equations (604) can reduce 602 to:
% 44.41/14.39  																																																														| (906)  ~ (e3 = e0)
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														| Simplifying 906 yields:
% 44.41/14.39  																																																														| (50)  ~ (e3 = e0)
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														+-Applying beta-rule and splitting (1712), into two cases.
% 44.41/14.39  																																																														|-Branch one:
% 44.41/14.39  																																																														| (795) all_0_83_83 = e3
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																															| Combining equations (795,453) yields a new equation:
% 44.41/14.39  																																																															| (547) e3 = e2
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															| Simplifying 547 yields:
% 44.41/14.39  																																																															| (548) e3 = e2
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															| Equations (548) can reduce 169 to:
% 44.41/14.39  																																																															| (311) $false
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																															|-The branch is then unsatisfiable
% 44.41/14.39  																																																														|-Branch two:
% 44.41/14.39  																																																														| (779)  ~ (all_0_83_83 = e3)
% 44.41/14.39  																																																														| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																															+-Applying beta-rule and splitting (1842), into two cases.
% 44.41/14.39  																																																															|-Branch one:
% 44.41/14.39  																																																															| (588) all_0_91_91 = e3
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																																| Equations (588) can reduce 571 to:
% 44.41/14.39  																																																																| (311) $false
% 44.41/14.39  																																																																|
% 44.41/14.39  																																																																|-The branch is then unsatisfiable
% 44.41/14.39  																																																															|-Branch two:
% 44.41/14.39  																																																															| (571)  ~ (all_0_91_91 = e3)
% 44.41/14.39  																																																															| (778) all_0_96_96 = e3
% 44.41/14.39  																																																															|
% 44.41/14.39  																																																																| Combining equations (1837,778) yields a new equation:
% 44.41/14.39  																																																																| (600) e3 = e0
% 44.41/14.39  																																																																|
% 44.41/14.39  																																																																| Equations (600) can reduce 50 to:
% 44.41/14.39  																																																																| (311) $false
% 44.41/14.39  																																																																|
% 44.41/14.39  																																																																|-The branch is then unsatisfiable
% 44.41/14.39  																																																													|-Branch two:
% 44.41/14.39  																																																													| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.39  																																																													| (607) all_0_93_93 = e4
% 44.41/14.39  																																																													|
% 44.41/14.39  																																																														| Equations (607) can reduce 496 to:
% 44.41/14.39  																																																														| (311) $false
% 44.41/14.39  																																																														|
% 44.41/14.39  																																																														|-The branch is then unsatisfiable
% 44.41/14.39  																																																							|-Branch two:
% 44.41/14.39  																																																							| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.39  																																																							| (969) all_0_98_98 = e3
% 44.41/14.39  																																																							|
% 44.41/14.39  																																																								| Equations (969) can reduce 1519 to:
% 44.41/14.39  																																																								| (311) $false
% 44.41/14.39  																																																								|
% 44.41/14.39  																																																								|-The branch is then unsatisfiable
% 44.41/14.39  																																					|-Branch two:
% 44.41/14.39  																																					| (467)  ~ (all_0_90_90 = e4)
% 44.41/14.39  																																					| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.39  																																					|
% 44.41/14.39  																																						+-Applying beta-rule and splitting (1928), into two cases.
% 44.41/14.39  																																						|-Branch one:
% 44.41/14.39  																																						| (442) all_0_92_92 = e4
% 44.41/14.39  																																						|
% 44.41/14.39  																																							| Equations (442) can reduce 1619 to:
% 44.41/14.39  																																							| (311) $false
% 44.41/14.39  																																							|
% 44.41/14.39  																																							|-The branch is then unsatisfiable
% 44.41/14.39  																																						|-Branch two:
% 44.41/14.39  																																						| (1619)  ~ (all_0_92_92 = e4)
% 44.41/14.39  																																						| (607) all_0_93_93 = e4
% 44.41/14.39  																																						|
% 44.41/14.39  																																							| Equations (607) can reduce 496 to:
% 44.41/14.39  																																							| (311) $false
% 44.41/14.39  																																							|
% 44.41/14.39  																																							|-The branch is then unsatisfiable
% 44.41/14.39  																																		|-Branch two:
% 44.41/14.39  																																		| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.39  																																		| (469) all_0_82_82 = e4
% 44.41/14.39  																																		|
% 44.41/14.39  																																			| Equations (469) can reduce 465 to:
% 44.41/14.39  																																			| (311) $false
% 44.41/14.39  																																			|
% 44.41/14.39  																																			|-The branch is then unsatisfiable
% 44.41/14.40  																														|-Branch two:
% 44.41/14.40  																														| (417)  ~ (all_0_84_84 = e4)
% 44.41/14.40  																														| (493) all_0_85_85 = e4
% 44.41/14.40  																														|
% 44.41/14.40  																															| Equations (493) can reduce 648 to:
% 44.41/14.40  																															| (311) $false
% 44.41/14.40  																															|
% 44.41/14.40  																															|-The branch is then unsatisfiable
% 44.41/14.40  																											|-Branch two:
% 44.41/14.40  																											| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.41/14.40  																											|
% 44.41/14.40  																												| Applying alpha-rule on (973) yields:
% 44.41/14.40  																												| (974) all_0_50_50 = e0
% 44.41/14.40  																												| (975)  ~ (all_0_51_51 = e3)
% 44.41/14.40  																												|
% 44.41/14.40  																												| Combining equations (974,13437) yields a new equation:
% 44.41/14.40  																												| (379) e2 = e0
% 44.41/14.40  																												|
% 44.41/14.40  																												| Equations (379) can reduce 76 to:
% 44.41/14.40  																												| (311) $false
% 44.41/14.40  																												|
% 44.41/14.40  																												|-The branch is then unsatisfiable
% 44.41/14.40  																										|-Branch two:
% 44.41/14.40  																										| (418)  ~ (all_0_78_78 = e3)
% 44.41/14.40  																										| (463) all_0_78_78 = e4
% 44.41/14.40  																										|
% 44.41/14.40  																											| Equations (463) can reduce 640 to:
% 44.41/14.40  																											| (311) $false
% 44.41/14.40  																											|
% 44.41/14.40  																											|-The branch is then unsatisfiable
% 44.41/14.40  																				|-Branch two:
% 44.41/14.40  																				| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.41/14.40  																				|
% 44.41/14.40  																					| Applying alpha-rule on (4957) yields:
% 44.41/14.40  																					| (4958) all_0_58_58 = e0
% 44.41/14.40  																					| (4959)  ~ (all_0_59_59 = e2)
% 44.41/14.40  																					|
% 44.41/14.40  																					| From (4958) and (212) follows:
% 44.41/14.40  																					| (4960) op(e2, all_0_96_96) = e0
% 44.41/14.40  																					|
% 44.41/14.40  																					+-Applying beta-rule and splitting (56), into two cases.
% 44.41/14.40  																					|-Branch one:
% 44.41/14.40  																					| (463) all_0_78_78 = e4
% 44.41/14.40  																					|
% 44.41/14.40  																						| Equations (463) can reduce 278 to:
% 44.41/14.40  																						| (1730)  ~ (all_0_81_81 = e4)
% 44.41/14.40  																						|
% 44.41/14.40  																						| Simplifying 1730 yields:
% 44.41/14.40  																						| (634)  ~ (all_0_81_81 = e4)
% 44.41/14.40  																						|
% 44.41/14.40  																						| Equations (463) can reduce 193 to:
% 44.41/14.40  																						| (464)  ~ (all_0_82_82 = e4)
% 44.41/14.40  																						|
% 44.41/14.40  																						| Simplifying 464 yields:
% 44.41/14.40  																						| (465)  ~ (all_0_82_82 = e4)
% 44.41/14.40  																						|
% 44.41/14.40  																						| Equations (463) can reduce 1601 to:
% 44.41/14.40  																						| (256)  ~ (e4 = e1)
% 44.41/14.40  																						|
% 44.41/14.40  																						| From (463) and (138) follows:
% 44.41/14.40  																						| (12255) op(e3, e4) = all_0_43_43
% 44.41/14.40  																						|
% 44.41/14.40  																						+-Applying beta-rule and splitting (106), into two cases.
% 44.41/14.40  																						|-Branch one:
% 44.41/14.40  																						| (771) all_0_78_78 = e3
% 44.41/14.40  																						|
% 44.41/14.40  																							| Combining equations (463,771) yields a new equation:
% 44.41/14.40  																							| (790) e4 = e3
% 44.41/14.40  																							|
% 44.41/14.40  																							| Simplifying 790 yields:
% 44.41/14.40  																							| (434) e4 = e3
% 44.41/14.40  																							|
% 44.41/14.40  																							| Equations (434) can reduce 177 to:
% 44.41/14.40  																							| (311) $false
% 44.41/14.40  																							|
% 44.41/14.40  																							|-The branch is then unsatisfiable
% 44.41/14.40  																						|-Branch two:
% 44.41/14.40  																						| (418)  ~ (all_0_78_78 = e3)
% 44.41/14.40  																						| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.41/14.40  																						|
% 44.41/14.40  																							+-Applying beta-rule and splitting (123), into two cases.
% 44.41/14.40  																							|-Branch one:
% 44.41/14.40  																							| (473) all_0_81_81 = e2
% 44.41/14.40  																							|
% 44.41/14.40  																								| Equations (473) can reduce 396 to:
% 44.41/14.40  																								| (311) $false
% 44.41/14.40  																								|
% 44.41/14.40  																								|-The branch is then unsatisfiable
% 44.41/14.40  																							|-Branch two:
% 44.41/14.40  																							| (396)  ~ (all_0_81_81 = e2)
% 44.41/14.40  																							| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.41/14.40  																							|
% 44.41/14.40  																								+-Applying beta-rule and splitting (1756), into two cases.
% 44.41/14.40  																								|-Branch one:
% 44.41/14.40  																								| (1708) all_0_79_79 = e3
% 44.41/14.40  																								|
% 44.41/14.40  																									| Combining equations (457,1708) yields a new equation:
% 44.41/14.40  																									| (772) e3 = e1
% 44.41/14.40  																									|
% 44.41/14.40  																									| Equations (772) can reduce 20 to:
% 44.41/14.40  																									| (311) $false
% 44.41/14.40  																									|
% 44.41/14.40  																									|-The branch is then unsatisfiable
% 44.41/14.40  																								|-Branch two:
% 44.41/14.40  																								| (1711)  ~ (all_0_79_79 = e3)
% 44.41/14.40  																								| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.41/14.40  																								|
% 44.41/14.40  																									+-Applying beta-rule and splitting (1768), into two cases.
% 44.41/14.40  																									|-Branch one:
% 44.41/14.40  																									| (416) all_0_80_80 = e3
% 44.41/14.40  																									|
% 44.41/14.40  																										| Combining equations (546,416) yields a new equation:
% 44.41/14.40  																										| (548) e3 = e2
% 44.41/14.40  																										|
% 44.41/14.40  																										| Equations (548) can reduce 169 to:
% 44.41/14.40  																										| (311) $false
% 44.41/14.40  																										|
% 44.41/14.40  																										|-The branch is then unsatisfiable
% 44.41/14.40  																									|-Branch two:
% 44.41/14.40  																									| (2347)  ~ (all_0_80_80 = e3)
% 44.41/14.40  																									| (635) all_0_81_81 = e3
% 44.41/14.40  																									|
% 44.41/14.40  																										| Equations (635) can reduce 118 to:
% 44.41/14.40  																										| (2358)  ~ (all_0_85_85 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Simplifying 2358 yields:
% 44.41/14.40  																										| (952)  ~ (all_0_85_85 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Equations (635) can reduce 5 to:
% 44.41/14.40  																										| (1518)  ~ (all_0_98_98 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Simplifying 1518 yields:
% 44.41/14.40  																										| (1519)  ~ (all_0_98_98 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Equations (635) can reduce 634 to:
% 44.41/14.40  																										| (783)  ~ (e4 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Simplifying 783 yields:
% 44.41/14.40  																										| (177)  ~ (e4 = e3)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Equations (635) can reduce 396 to:
% 44.41/14.40  																										| (169)  ~ (e3 = e2)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Equations (635) can reduce 257 to:
% 44.41/14.40  																										| (50)  ~ (e3 = e0)
% 44.41/14.40  																										|
% 44.41/14.40  																										| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 44.41/14.40  																										| (12276) all_0_43_43 = e1
% 44.41/14.40  																										|
% 44.41/14.40  																										+-Applying beta-rule and splitting (186), into two cases.
% 44.41/14.40  																										|-Branch one:
% 44.41/14.40  																										| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 44.41/14.40  																										|
% 44.41/14.40  																											+-Applying beta-rule and splitting (726), into two cases.
% 44.41/14.40  																											|-Branch one:
% 44.41/14.40  																											| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 44.41/14.40  																											|
% 44.41/14.40  																												+-Applying beta-rule and splitting (727), into two cases.
% 44.41/14.40  																												|-Branch one:
% 44.41/14.40  																												| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 44.41/14.40  																												|
% 44.41/14.40  																													| Applying alpha-rule on (728) yields:
% 44.41/14.40  																													| (729) all_0_43_43 = e4
% 44.41/14.40  																													| (730)  ~ (all_0_44_44 = e3)
% 44.41/14.40  																													|
% 44.41/14.40  																													| Combining equations (729,12276) yields a new equation:
% 44.41/14.40  																													| (813) e4 = e1
% 44.41/14.40  																													|
% 44.41/14.40  																													| Simplifying 813 yields:
% 44.41/14.40  																													| (814) e4 = e1
% 44.41/14.40  																													|
% 44.41/14.40  																													| Equations (814) can reduce 256 to:
% 44.41/14.40  																													| (311) $false
% 44.41/14.40  																													|
% 44.41/14.40  																													|-The branch is then unsatisfiable
% 44.41/14.40  																												|-Branch two:
% 44.41/14.40  																												| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 44.41/14.40  																												|
% 44.41/14.40  																													| Applying alpha-rule on (734) yields:
% 44.41/14.40  																													| (735) all_0_46_46 = e2
% 44.41/14.40  																													| (736)  ~ (all_0_47_47 = e3)
% 44.41/14.40  																													|
% 44.41/14.40  																													| Combining equations (735,13664) yields a new equation:
% 44.41/14.40  																													| (552) all_0_84_84 = e2
% 44.41/14.40  																													|
% 44.41/14.40  																													| Equations (552) can reduce 612 to:
% 44.41/14.40  																													| (311) $false
% 44.41/14.40  																													|
% 44.41/14.40  																													|-The branch is then unsatisfiable
% 44.41/14.40  																											|-Branch two:
% 44.41/14.40  																											| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 44.41/14.40  																											|
% 44.41/14.40  																												| Applying alpha-rule on (740) yields:
% 44.41/14.40  																												| (741) all_0_48_48 = e1
% 44.41/14.40  																												| (742)  ~ (all_0_49_49 = e3)
% 44.41/14.40  																												|
% 44.41/14.40  																												| From (741) and (217) follows:
% 44.41/14.40  																												| (743) op(e3, all_0_90_90) = e1
% 44.41/14.40  																												|
% 44.41/14.40  																												+-Applying beta-rule and splitting (109), into two cases.
% 44.41/14.40  																												|-Branch one:
% 44.41/14.40  																												| (469) all_0_82_82 = e4
% 44.41/14.40  																												|
% 44.41/14.40  																													| Equations (469) can reduce 465 to:
% 44.41/14.40  																													| (311) $false
% 44.41/14.40  																													|
% 44.41/14.40  																													|-The branch is then unsatisfiable
% 44.41/14.40  																												|-Branch two:
% 44.41/14.40  																												| (465)  ~ (all_0_82_82 = e4)
% 44.41/14.40  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.41/14.40  																												|
% 44.41/14.40  																													+-Applying beta-rule and splitting (182), into two cases.
% 44.41/14.40  																													|-Branch one:
% 44.41/14.40  																													| (512) all_0_85_85 = e2
% 44.41/14.40  																													|
% 44.41/14.40  																														| Equations (512) can reduce 515 to:
% 44.41/14.40  																														| (311) $false
% 44.41/14.40  																														|
% 44.41/14.40  																														|-The branch is then unsatisfiable
% 44.41/14.40  																													|-Branch two:
% 44.41/14.40  																													| (515)  ~ (all_0_85_85 = e2)
% 44.41/14.40  																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.41/14.40  																													|
% 44.41/14.40  																														+-Applying beta-rule and splitting (102), into two cases.
% 44.41/14.40  																														|-Branch one:
% 44.41/14.40  																														| (858) all_0_95_95 = e0
% 44.41/14.40  																														|
% 44.41/14.40  																															| Combining equations (858,767) yields a new equation:
% 44.41/14.40  																															| (379) e2 = e0
% 44.41/14.40  																															|
% 44.41/14.40  																															| Equations (379) can reduce 76 to:
% 44.41/14.40  																															| (311) $false
% 44.41/14.40  																															|
% 44.41/14.40  																															|-The branch is then unsatisfiable
% 44.41/14.40  																														|-Branch two:
% 44.41/14.40  																														| (893)  ~ (all_0_95_95 = e0)
% 44.41/14.40  																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.41/14.40  																														|
% 44.41/14.40  																															| Equations (767) can reduce 893 to:
% 44.41/14.40  																															| (76)  ~ (e2 = e0)
% 44.41/14.40  																															|
% 44.41/14.40  																															+-Applying beta-rule and splitting (151), into two cases.
% 44.41/14.40  																															|-Branch one:
% 44.41/14.40  																															| (824) all_0_80_80 = e1
% 44.41/14.40  																															|
% 44.41/14.40  																																| Combining equations (546,824) yields a new equation:
% 44.41/14.40  																																| (408) e2 = e1
% 44.41/14.40  																																|
% 44.41/14.40  																																| Simplifying 408 yields:
% 44.41/14.40  																																| (385) e2 = e1
% 44.41/14.40  																																|
% 44.41/14.40  																																| Equations (385) can reduce 243 to:
% 44.41/14.40  																																| (311) $false
% 44.41/14.40  																																|
% 44.41/14.40  																																|-The branch is then unsatisfiable
% 44.41/14.40  																															|-Branch two:
% 44.41/14.40  																															| (828)  ~ (all_0_80_80 = e1)
% 44.41/14.40  																															| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.40  																															|
% 44.41/14.40  																																| Equations (546) can reduce 828 to:
% 44.41/14.40  																																| (243)  ~ (e2 = e1)
% 44.41/14.40  																																|
% 44.41/14.40  																																+-Applying beta-rule and splitting (171), into two cases.
% 44.41/14.40  																																|-Branch one:
% 44.41/14.40  																																| (789) all_0_82_82 = e3
% 44.41/14.40  																																|
% 44.41/14.40  																																	| Equations (789) can reduce 7 to:
% 44.41/14.40  																																	| (421)  ~ (all_0_84_84 = e3)
% 44.41/14.40  																																	|
% 44.41/14.40  																																	| Simplifying 421 yields:
% 44.41/14.40  																																	| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.40  																																	|
% 44.41/14.40  																																	| Equations (789) can reduce 198 to:
% 44.41/14.40  																																	| (20)  ~ (e3 = e1)
% 44.41/14.40  																																	|
% 44.41/14.40  																																	+-Applying beta-rule and splitting (249), into two cases.
% 44.41/14.40  																																	|-Branch one:
% 44.41/14.40  																																	| (910) all_0_82_82 = e0
% 44.41/14.40  																																	|
% 44.41/14.40  																																		| Combining equations (789,910) yields a new equation:
% 44.41/14.40  																																		| (599) e3 = e0
% 44.41/14.40  																																		|
% 44.41/14.40  																																		| Simplifying 599 yields:
% 44.41/14.40  																																		| (600) e3 = e0
% 44.41/14.40  																																		|
% 44.41/14.40  																																		| Equations (600) can reduce 50 to:
% 44.41/14.40  																																		| (311) $false
% 44.41/14.40  																																		|
% 44.41/14.40  																																		|-The branch is then unsatisfiable
% 44.41/14.40  																																	|-Branch two:
% 44.41/14.40  																																	| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.40  																																	| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 44.41/14.40  																																	|
% 44.41/14.40  																																		| Equations (789) can reduce 914 to:
% 44.41/14.40  																																		| (50)  ~ (e3 = e0)
% 44.41/14.40  																																		|
% 44.41/14.40  																																		+-Applying beta-rule and splitting (254), into two cases.
% 44.41/14.40  																																		|-Branch one:
% 44.41/14.40  																																		| (910) all_0_82_82 = e0
% 44.41/14.40  																																		|
% 44.41/14.40  																																			| Combining equations (789,910) yields a new equation:
% 44.41/14.40  																																			| (599) e3 = e0
% 44.41/14.40  																																			|
% 44.41/14.40  																																			| Simplifying 599 yields:
% 44.41/14.40  																																			| (600) e3 = e0
% 44.41/14.40  																																			|
% 44.41/14.40  																																			| Equations (600) can reduce 50 to:
% 44.41/14.40  																																			| (311) $false
% 44.41/14.40  																																			|
% 44.41/14.40  																																			|-The branch is then unsatisfiable
% 44.41/14.40  																																		|-Branch two:
% 44.41/14.40  																																		| (914)  ~ (all_0_82_82 = e0)
% 44.41/14.40  																																		| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.41/14.40  																																		|
% 44.41/14.40  																																			+-Applying beta-rule and splitting (1309), into two cases.
% 44.41/14.40  																																			|-Branch one:
% 44.41/14.40  																																			| (798) all_0_83_83 = e0
% 44.41/14.40  																																			|
% 44.41/14.40  																																				| Combining equations (453,798) yields a new equation:
% 44.41/14.40  																																				| (923) e2 = e0
% 44.41/14.40  																																				|
% 44.41/14.40  																																				| Simplifying 923 yields:
% 44.41/14.40  																																				| (379) e2 = e0
% 44.41/14.40  																																				|
% 44.41/14.40  																																				| Equations (379) can reduce 76 to:
% 44.41/14.40  																																				| (311) $false
% 44.41/14.40  																																				|
% 44.41/14.40  																																				|-The branch is then unsatisfiable
% 44.41/14.40  																																			|-Branch two:
% 44.41/14.40  																																			| (1314)  ~ (all_0_83_83 = e0)
% 44.41/14.40  																																			| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.41/14.40  																																			|
% 44.41/14.40  																																				+-Applying beta-rule and splitting (915), into two cases.
% 44.41/14.40  																																				|-Branch one:
% 44.41/14.40  																																				| (378) all_0_86_86 = e0
% 44.41/14.40  																																				|
% 44.41/14.40  																																					| Combining equations (384,378) yields a new equation:
% 44.41/14.40  																																					| (1107) e1 = e0
% 44.41/14.40  																																					|
% 44.41/14.40  																																					| Simplifying 1107 yields:
% 44.41/14.40  																																					| (865) e1 = e0
% 44.41/14.40  																																					|
% 44.41/14.40  																																					| Equations (865) can reduce 264 to:
% 44.41/14.40  																																					| (311) $false
% 44.41/14.40  																																					|
% 44.41/14.40  																																					|-The branch is then unsatisfiable
% 44.41/14.40  																																				|-Branch two:
% 44.41/14.40  																																				| (381)  ~ (all_0_86_86 = e0)
% 44.41/14.40  																																				| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.41/14.40  																																				|
% 44.41/14.40  																																					+-Applying beta-rule and splitting (1315), into two cases.
% 44.41/14.40  																																					|-Branch one:
% 44.41/14.40  																																					| (916) all_0_84_84 = e0
% 44.41/14.40  																																					|
% 44.41/14.40  																																						| Equations (916) can reduce 919 to:
% 44.41/14.40  																																						| (311) $false
% 44.41/14.40  																																						|
% 44.41/14.40  																																						|-The branch is then unsatisfiable
% 44.41/14.40  																																					|-Branch two:
% 44.41/14.40  																																					| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.40  																																					| (954) all_0_85_85 = e0
% 44.41/14.40  																																					|
% 44.41/14.40  																																						| Equations (954) can reduce 154 to:
% 44.41/14.40  																																						| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.40  																																						|
% 44.41/14.40  																																						| Equations (954) can reduce 515 to:
% 44.41/14.40  																																						| (510)  ~ (e2 = e0)
% 44.41/14.40  																																						|
% 44.41/14.40  																																						| Simplifying 510 yields:
% 44.41/14.40  																																						| (76)  ~ (e2 = e0)
% 44.41/14.40  																																						|
% 44.41/14.40  																																						| From (954) and (197) follows:
% 44.41/14.40  																																						| (10073) op(e3, e0) = all_0_72_72
% 44.41/14.40  																																						|
% 44.41/14.40  																																						| From (954) and (8) follows:
% 44.41/14.40  																																						| (1093) op(e3, e0) = e0
% 44.41/14.40  																																						|
% 44.41/14.40  																																						+-Applying beta-rule and splitting (92), into two cases.
% 44.41/14.40  																																						|-Branch one:
% 44.41/14.40  																																						| (552) all_0_84_84 = e2
% 44.41/14.40  																																						|
% 44.41/14.40  																																							| Equations (552) can reduce 612 to:
% 44.41/14.40  																																							| (311) $false
% 44.41/14.40  																																							|
% 44.41/14.40  																																							|-The branch is then unsatisfiable
% 44.41/14.40  																																						|-Branch two:
% 44.41/14.40  																																						| (612)  ~ (all_0_84_84 = e2)
% 44.41/14.40  																																						| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.41/14.40  																																						|
% 44.41/14.40  																																							+-Applying beta-rule and splitting (927), into two cases.
% 44.41/14.40  																																							|-Branch one:
% 44.41/14.40  																																							| (758) all_0_90_90 = e0
% 44.41/14.40  																																							|
% 44.41/14.40  																																								| Equations (758) can reduce 103 to:
% 44.41/14.40  																																								| (1830)  ~ (all_0_91_91 = e0)
% 44.41/14.40  																																								|
% 44.41/14.40  																																								| Simplifying 1830 yields:
% 44.41/14.40  																																								| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.40  																																								|
% 44.41/14.40  																																								| Equations (758) can reduce 72 to:
% 44.41/14.40  																																								| (2299)  ~ (all_0_92_92 = e0)
% 44.41/14.40  																																								|
% 44.41/14.40  																																								| Simplifying 2299 yields:
% 44.41/14.40  																																								| (946)  ~ (all_0_92_92 = e0)
% 44.41/14.40  																																								|
% 44.41/14.40  																																								| From (758) and (743) follows:
% 44.41/14.40  																																								| (759) op(e3, e0) = e1
% 44.41/14.40  																																								|
% 44.41/14.40  																																								+-Applying beta-rule and splitting (617), into two cases.
% 44.41/14.40  																																								|-Branch one:
% 44.41/14.40  																																								| (1265) all_0_84_84 = e3
% 44.41/14.40  																																								|
% 44.41/14.40  																																									| Equations (1265) can reduce 422 to:
% 44.41/14.40  																																									| (311) $false
% 44.41/14.40  																																									|
% 44.41/14.40  																																									|-The branch is then unsatisfiable
% 44.41/14.40  																																								|-Branch two:
% 44.41/14.40  																																								| (422)  ~ (all_0_84_84 = e3)
% 44.41/14.40  																																								| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.41/14.40  																																								|
% 44.41/14.40  																																									+-Applying beta-rule and splitting (1268), into two cases.
% 44.41/14.40  																																									|-Branch one:
% 44.41/14.40  																																									| (916) all_0_84_84 = e0
% 44.41/14.40  																																									|
% 44.41/14.40  																																										| Equations (916) can reduce 919 to:
% 44.41/14.40  																																										| (311) $false
% 44.41/14.40  																																										|
% 44.41/14.40  																																										|-The branch is then unsatisfiable
% 44.41/14.40  																																									|-Branch two:
% 44.41/14.40  																																									| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.40  																																									| (438) all_0_84_84 = e4
% 44.41/14.40  																																									|
% 44.41/14.40  																																										| Equations (438) can reduce 87 to:
% 44.41/14.41  																																										| (1906)  ~ (all_0_92_92 = e4)
% 44.41/14.41  																																										|
% 44.41/14.41  																																										| Simplifying 1906 yields:
% 44.41/14.41  																																										| (1619)  ~ (all_0_92_92 = e4)
% 44.41/14.41  																																										|
% 44.41/14.41  																																										| Equations (438) can reduce 612 to:
% 44.41/14.41  																																										| (79)  ~ (e4 = e2)
% 44.41/14.41  																																										|
% 44.41/14.41  																																										| Equations (438) can reduce 259 to:
% 44.41/14.41  																																										| (256)  ~ (e4 = e1)
% 44.41/14.41  																																										|
% 44.41/14.41  																																										| Equations (438) can reduce 919 to:
% 44.41/14.41  																																										| (23)  ~ (e4 = e0)
% 44.41/14.41  																																										|
% 44.41/14.41  																																										+-Applying beta-rule and splitting (46), into two cases.
% 44.41/14.41  																																										|-Branch one:
% 44.41/14.41  																																										| (308) all_0_89_89 = e4
% 44.41/14.41  																																										|
% 44.41/14.41  																																											| Combining equations (292,308) yields a new equation:
% 44.41/14.41  																																											| (310) e4 = e2
% 44.41/14.41  																																											|
% 44.41/14.41  																																											| Equations (310) can reduce 79 to:
% 44.41/14.41  																																											| (311) $false
% 44.41/14.41  																																											|
% 44.41/14.41  																																											|-The branch is then unsatisfiable
% 44.41/14.41  																																										|-Branch two:
% 44.41/14.41  																																										| (312)  ~ (all_0_89_89 = e4)
% 44.41/14.41  																																										| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.41  																																										|
% 44.41/14.41  																																											+-Applying beta-rule and splitting (48), into two cases.
% 44.41/14.41  																																											|-Branch one:
% 44.41/14.41  																																											| (525) all_0_98_98 = e2
% 44.41/14.41  																																											|
% 44.41/14.41  																																												| Equations (525) can reduce 1349 to:
% 44.41/14.41  																																												| (311) $false
% 44.41/14.41  																																												|
% 44.41/14.41  																																												|-The branch is then unsatisfiable
% 44.41/14.41  																																											|-Branch two:
% 44.41/14.41  																																											| (1349)  ~ (all_0_98_98 = e2)
% 44.41/14.41  																																											| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.41/14.41  																																											|
% 44.41/14.41  																																												+-Applying beta-rule and splitting (1915), into two cases.
% 44.41/14.41  																																												|-Branch one:
% 44.41/14.41  																																												| (583) all_0_90_90 = e4
% 44.41/14.41  																																												|
% 44.41/14.41  																																													| Combining equations (583,758) yields a new equation:
% 44.41/14.41  																																													| (911) e4 = e0
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Simplifying 911 yields:
% 44.41/14.41  																																													| (912) e4 = e0
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Equations (912) can reduce 23 to:
% 44.41/14.41  																																													| (311) $false
% 44.41/14.41  																																													|
% 44.41/14.41  																																													|-The branch is then unsatisfiable
% 44.41/14.41  																																												|-Branch two:
% 44.41/14.41  																																												| (467)  ~ (all_0_90_90 = e4)
% 44.41/14.41  																																												| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.41/14.41  																																												|
% 44.41/14.41  																																													+-Applying beta-rule and splitting (1928), into two cases.
% 44.41/14.41  																																													|-Branch one:
% 44.41/14.41  																																													| (442) all_0_92_92 = e4
% 44.41/14.41  																																													|
% 44.41/14.41  																																														| Equations (442) can reduce 1619 to:
% 44.41/14.41  																																														| (311) $false
% 44.41/14.41  																																														|
% 44.41/14.41  																																														|-The branch is then unsatisfiable
% 44.41/14.41  																																													|-Branch two:
% 44.41/14.41  																																													| (1619)  ~ (all_0_92_92 = e4)
% 44.41/14.41  																																													| (607) all_0_93_93 = e4
% 44.41/14.41  																																													|
% 44.41/14.41  																																														+-Applying beta-rule and splitting (108), into two cases.
% 44.41/14.41  																																														|-Branch one:
% 44.41/14.41  																																														| (477) all_0_81_81 = e1
% 44.41/14.41  																																														|
% 44.41/14.41  																																															| Combining equations (477,635) yields a new equation:
% 44.41/14.41  																																															| (772) e3 = e1
% 44.41/14.41  																																															|
% 44.41/14.41  																																															| Equations (772) can reduce 20 to:
% 44.41/14.41  																																															| (311) $false
% 44.41/14.41  																																															|
% 44.41/14.41  																																															|-The branch is then unsatisfiable
% 44.41/14.41  																																														|-Branch two:
% 44.41/14.41  																																														| (628)  ~ (all_0_81_81 = e1)
% 44.41/14.41  																																														| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.41  																																														|
% 44.41/14.41  																																															+-Applying beta-rule and splitting (1400), into two cases.
% 44.41/14.41  																																															|-Branch one:
% 44.41/14.41  																																															| (1456) all_0_91_91 = e0
% 44.41/14.41  																																															|
% 44.41/14.41  																																																| Equations (1456) can reduce 1487 to:
% 44.41/14.41  																																																| (311) $false
% 44.41/14.41  																																																|
% 44.41/14.41  																																																|-The branch is then unsatisfiable
% 44.41/14.41  																																															|-Branch two:
% 44.41/14.41  																																															| (1487)  ~ (all_0_91_91 = e0)
% 44.41/14.41  																																															| (1837) all_0_96_96 = e0
% 44.41/14.41  																																															|
% 44.41/14.41  																																																| Equations (1837) can reduce 43 to:
% 44.41/14.41  																																																| (2058)  ~ (all_0_98_98 = e0)
% 44.41/14.41  																																																|
% 44.41/14.41  																																																| Simplifying 2058 yields:
% 44.41/14.41  																																																| (2059)  ~ (all_0_98_98 = e0)
% 44.41/14.41  																																																|
% 44.41/14.41  																																																+-Applying beta-rule and splitting (5118), into two cases.
% 44.41/14.41  																																																|-Branch one:
% 44.41/14.41  																																																| (1543) all_0_98_98 = e1
% 44.41/14.41  																																																|
% 44.41/14.41  																																																	| Equations (1543) can reduce 148 to:
% 44.41/14.41  																																																	| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																	| Equations (1543) can reduce 2059 to:
% 44.41/14.41  																																																	| (264)  ~ (e1 = e0)
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																	+-Applying beta-rule and splitting (132), into two cases.
% 44.41/14.41  																																																	|-Branch one:
% 44.41/14.41  																																																	| (750) all_0_90_90 = e1
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																		| Combining equations (758,750) yields a new equation:
% 44.41/14.41  																																																		| (865) e1 = e0
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		| Equations (865) can reduce 264 to:
% 44.41/14.41  																																																		| (311) $false
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		|-The branch is then unsatisfiable
% 44.41/14.41  																																																	|-Branch two:
% 44.41/14.41  																																																	| (678)  ~ (all_0_90_90 = e1)
% 44.41/14.41  																																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																		| Equations (758) can reduce 678 to:
% 44.41/14.41  																																																		| (859)  ~ (e1 = e0)
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		| Simplifying 859 yields:
% 44.41/14.41  																																																		| (264)  ~ (e1 = e0)
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.41  																																																		|-Branch one:
% 44.41/14.41  																																																		| (482) all_0_87_87 = e1
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																			| Combining equations (861,482) yields a new equation:
% 44.41/14.41  																																																			| (865) e1 = e0
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			| Equations (865) can reduce 264 to:
% 44.41/14.41  																																																			| (311) $false
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			|-The branch is then unsatisfiable
% 44.41/14.41  																																																		|-Branch two:
% 44.41/14.41  																																																		| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.41  																																																		| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																			+-Applying beta-rule and splitting (835), into two cases.
% 44.41/14.41  																																																			|-Branch one:
% 44.41/14.41  																																																			| (836) all_0_92_92 = e1
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																				| Equations (836) can reduce 946 to:
% 44.41/14.41  																																																				| (264)  ~ (e1 = e0)
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				| Instantiating formula (262) with e3, e0, e1, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e1, yields:
% 44.41/14.41  																																																				| (845) all_0_72_72 = e1
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 44.41/14.41  																																																				| (10076) all_0_72_72 = e0
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				| Combining equations (10076,845) yields a new equation:
% 44.41/14.41  																																																				| (865) e1 = e0
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				| Equations (865) can reduce 264 to:
% 44.41/14.41  																																																				| (311) $false
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				|-The branch is then unsatisfiable
% 44.41/14.41  																																																			|-Branch two:
% 44.41/14.41  																																																			| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.41  																																																			| (542) all_0_97_97 = e1
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																				| Equations (542) can reduce 486 to:
% 44.41/14.41  																																																				| (311) $false
% 44.41/14.41  																																																				|
% 44.41/14.41  																																																				|-The branch is then unsatisfiable
% 44.41/14.41  																																																|-Branch two:
% 44.41/14.41  																																																| (1804)  ~ (all_0_98_98 = e1)
% 44.41/14.41  																																																| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.41/14.41  																																																|
% 44.41/14.41  																																																	+-Applying beta-rule and splitting (817), into two cases.
% 44.41/14.41  																																																	|-Branch one:
% 44.41/14.41  																																																	| (504) all_0_88_88 = e1
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																		| Combining equations (504,370) yields a new equation:
% 44.41/14.41  																																																		| (385) e2 = e1
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		| Equations (385) can reduce 243 to:
% 44.41/14.41  																																																		| (311) $false
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																		|-The branch is then unsatisfiable
% 44.41/14.41  																																																	|-Branch two:
% 44.41/14.41  																																																	| (479)  ~ (all_0_88_88 = e1)
% 44.41/14.41  																																																	| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.41  																																																	|
% 44.41/14.41  																																																		+-Applying beta-rule and splitting (897), into two cases.
% 44.41/14.41  																																																		|-Branch one:
% 44.41/14.41  																																																		| (566) all_0_93_93 = e1
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																			| Combining equations (607,566) yields a new equation:
% 44.41/14.41  																																																			| (813) e4 = e1
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			| Simplifying 813 yields:
% 44.41/14.41  																																																			| (814) e4 = e1
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			| Equations (814) can reduce 256 to:
% 44.41/14.41  																																																			| (311) $false
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			|-The branch is then unsatisfiable
% 44.41/14.41  																																																		|-Branch two:
% 44.41/14.41  																																																		| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.41  																																																		| (1543) all_0_98_98 = e1
% 44.41/14.41  																																																		|
% 44.41/14.41  																																																			| Equations (1543) can reduce 1804 to:
% 44.41/14.41  																																																			| (311) $false
% 44.41/14.41  																																																			|
% 44.41/14.41  																																																			|-The branch is then unsatisfiable
% 44.41/14.41  																																							|-Branch two:
% 44.41/14.41  																																							| (762)  ~ (all_0_90_90 = e0)
% 44.41/14.41  																																							| (858) all_0_95_95 = e0
% 44.41/14.41  																																							|
% 44.41/14.41  																																								| Combining equations (858,767) yields a new equation:
% 44.41/14.41  																																								| (379) e2 = e0
% 44.41/14.41  																																								|
% 44.41/14.41  																																								| Equations (379) can reduce 76 to:
% 44.41/14.41  																																								| (311) $false
% 44.41/14.41  																																								|
% 44.41/14.41  																																								|-The branch is then unsatisfiable
% 44.41/14.41  																																|-Branch two:
% 44.41/14.41  																																| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.41  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.41/14.41  																																|
% 44.41/14.41  																																	+-Applying beta-rule and splitting (220), into two cases.
% 44.41/14.41  																																	|-Branch one:
% 44.41/14.41  																																	| (771) all_0_78_78 = e3
% 44.41/14.41  																																	|
% 44.41/14.41  																																		| Combining equations (771,463) yields a new equation:
% 44.41/14.41  																																		| (434) e4 = e3
% 44.41/14.41  																																		|
% 44.41/14.41  																																		| Equations (434) can reduce 177 to:
% 44.41/14.41  																																		| (311) $false
% 44.41/14.41  																																		|
% 44.41/14.41  																																		|-The branch is then unsatisfiable
% 44.41/14.41  																																	|-Branch two:
% 44.41/14.41  																																	| (418)  ~ (all_0_78_78 = e3)
% 44.41/14.41  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.41/14.41  																																	|
% 44.41/14.41  																																		+-Applying beta-rule and splitting (10), into two cases.
% 44.41/14.41  																																		|-Branch one:
% 44.41/14.41  																																		| (530) all_0_82_82 = e2
% 44.41/14.41  																																		|
% 44.41/14.41  																																			| Equations (530) can reduce 347 to:
% 44.41/14.41  																																			| (311) $false
% 44.41/14.41  																																			|
% 44.41/14.41  																																			|-The branch is then unsatisfiable
% 44.41/14.41  																																		|-Branch two:
% 44.41/14.41  																																		| (347)  ~ (all_0_82_82 = e2)
% 44.41/14.41  																																		| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.41/14.41  																																		|
% 44.41/14.41  																																			+-Applying beta-rule and splitting (2205), into two cases.
% 44.41/14.41  																																			|-Branch one:
% 44.41/14.41  																																			| (789) all_0_82_82 = e3
% 44.41/14.41  																																			|
% 44.41/14.41  																																				| Equations (789) can reduce 793 to:
% 44.41/14.41  																																				| (311) $false
% 44.41/14.41  																																				|
% 44.41/14.41  																																				|-The branch is then unsatisfiable
% 44.41/14.41  																																			|-Branch two:
% 44.41/14.41  																																			| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.41  																																			| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.41/14.41  																																			|
% 44.41/14.41  																																				+-Applying beta-rule and splitting (2706), into two cases.
% 44.41/14.41  																																				|-Branch one:
% 44.41/14.41  																																				| (910) all_0_82_82 = e0
% 44.41/14.41  																																				|
% 44.41/14.41  																																					| Equations (910) can reduce 7 to:
% 44.41/14.41  																																					| (2207)  ~ (all_0_84_84 = e0)
% 44.41/14.41  																																					|
% 44.41/14.41  																																					| Simplifying 2207 yields:
% 44.41/14.41  																																					| (919)  ~ (all_0_84_84 = e0)
% 44.41/14.41  																																					|
% 44.41/14.41  																																					| Equations (910) can reduce 255 to:
% 44.41/14.41  																																					| (2710)  ~ (all_0_90_90 = e0)
% 44.41/14.41  																																					|
% 44.41/14.41  																																					| Simplifying 2710 yields:
% 44.41/14.41  																																					| (762)  ~ (all_0_90_90 = e0)
% 44.41/14.41  																																					|
% 44.41/14.41  																																					| From (910) and (61) follows:
% 44.41/14.41  																																					| (979) op(e3, e3) = e0
% 44.41/14.41  																																					|
% 44.41/14.41  																																					+-Applying beta-rule and splitting (1296), into two cases.
% 44.41/14.41  																																					|-Branch one:
% 44.41/14.41  																																					| (795) all_0_83_83 = e3
% 44.41/14.41  																																					|
% 44.41/14.41  																																						| Combining equations (453,795) yields a new equation:
% 44.41/14.41  																																						| (548) e3 = e2
% 44.41/14.41  																																						|
% 44.41/14.41  																																						| Equations (548) can reduce 169 to:
% 44.41/14.41  																																						| (311) $false
% 44.41/14.41  																																						|
% 44.41/14.41  																																						|-The branch is then unsatisfiable
% 44.41/14.41  																																					|-Branch two:
% 44.41/14.41  																																					| (779)  ~ (all_0_83_83 = e3)
% 44.41/14.41  																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.41/14.41  																																					|
% 44.41/14.41  																																						+-Applying beta-rule and splitting (1594), into two cases.
% 44.41/14.41  																																						|-Branch one:
% 44.41/14.41  																																						| (1265) all_0_84_84 = e3
% 44.41/14.41  																																						|
% 44.41/14.41  																																							| Equations (1265) can reduce 195 to:
% 44.41/14.41  																																							| (427)  ~ (all_0_97_97 = e3)
% 44.41/14.41  																																							|
% 44.41/14.41  																																							| Simplifying 427 yields:
% 44.41/14.41  																																							| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.41  																																							|
% 44.41/14.41  																																							| Equations (1265) can reduce 612 to:
% 44.41/14.41  																																							| (169)  ~ (e3 = e2)
% 44.41/14.41  																																							|
% 44.41/14.41  																																							| Equations (1265) can reduce 919 to:
% 44.41/14.41  																																							| (50)  ~ (e3 = e0)
% 44.41/14.41  																																							|
% 44.41/14.41  																																							| From (1265) and (150) follows:
% 44.41/14.41  																																							| (4457) op(e3, e3) = all_0_63_63
% 44.41/14.41  																																							|
% 44.41/14.41  																																							+-Applying beta-rule and splitting (775), into two cases.
% 44.41/14.41  																																							|-Branch one:
% 44.41/14.41  																																							| (789) all_0_82_82 = e3
% 44.41/14.41  																																							|
% 44.41/14.41  																																								| Combining equations (910,789) yields a new equation:
% 44.41/14.41  																																								| (600) e3 = e0
% 44.41/14.41  																																								|
% 44.41/14.41  																																								| Equations (600) can reduce 50 to:
% 44.41/14.41  																																								| (311) $false
% 44.41/14.41  																																								|
% 44.41/14.41  																																								|-The branch is then unsatisfiable
% 44.41/14.41  																																							|-Branch two:
% 44.41/14.41  																																							| (793)  ~ (all_0_82_82 = e3)
% 44.41/14.41  																																							| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.41/14.41  																																							|
% 44.41/14.41  																																								+-Applying beta-rule and splitting (270), into two cases.
% 44.41/14.41  																																								|-Branch one:
% 44.41/14.41  																																								| (744) all_0_95_95 = e3
% 44.41/14.41  																																								|
% 44.41/14.41  																																									| Combining equations (744,767) yields a new equation:
% 44.41/14.41  																																									| (547) e3 = e2
% 44.41/14.41  																																									|
% 44.41/14.41  																																									| Simplifying 547 yields:
% 44.41/14.41  																																									| (548) e3 = e2
% 44.41/14.41  																																									|
% 44.41/14.41  																																									| Equations (548) can reduce 169 to:
% 44.41/14.41  																																									| (311) $false
% 44.41/14.41  																																									|
% 44.41/14.41  																																									|-The branch is then unsatisfiable
% 44.41/14.41  																																								|-Branch two:
% 44.41/14.41  																																								| (765)  ~ (all_0_95_95 = e3)
% 44.41/14.41  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.41/14.41  																																								|
% 44.41/14.41  																																									+-Applying beta-rule and splitting (112), into two cases.
% 44.41/14.41  																																									|-Branch one:
% 44.41/14.41  																																									| (538) all_0_97_97 = e2
% 44.41/14.41  																																									|
% 44.41/14.41  																																										| Equations (538) can reduce 527 to:
% 44.41/14.41  																																										| (311) $false
% 44.41/14.41  																																										|
% 44.41/14.41  																																										|-The branch is then unsatisfiable
% 44.41/14.41  																																									|-Branch two:
% 44.41/14.41  																																									| (527)  ~ (all_0_97_97 = e2)
% 44.41/14.41  																																									| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.41/14.41  																																									|
% 44.41/14.41  																																										+-Applying beta-rule and splitting (766), into two cases.
% 44.41/14.41  																																										|-Branch one:
% 44.41/14.41  																																										| (778) all_0_96_96 = e3
% 44.41/14.41  																																										|
% 44.41/14.41  																																											| Equations (778) can reduce 22 to:
% 44.41/14.41  																																											| (427)  ~ (all_0_97_97 = e3)
% 44.41/14.41  																																											|
% 44.41/14.41  																																											| Simplifying 427 yields:
% 44.41/14.41  																																											| (428)  ~ (all_0_97_97 = e3)
% 44.41/14.41  																																											|
% 44.41/14.41  																																											| Equations (778) can reduce 115 to:
% 44.41/14.41  																																											| (783)  ~ (e4 = e3)
% 44.41/14.41  																																											|
% 44.41/14.41  																																											| Simplifying 783 yields:
% 44.41/14.41  																																											| (177)  ~ (e4 = e3)
% 44.41/14.41  																																											|
% 44.41/14.41  																																											| Equations (778) can reduce 1638 to:
% 44.41/14.41  																																											| (169)  ~ (e3 = e2)
% 44.41/14.41  																																											|
% 44.41/14.41  																																											+-Applying beta-rule and splitting (472), into two cases.
% 44.41/14.41  																																											|-Branch one:
% 44.41/14.41  																																											| (438) all_0_84_84 = e4
% 44.41/14.41  																																											|
% 44.41/14.41  																																												| Combining equations (1265,438) yields a new equation:
% 44.41/14.41  																																												| (434) e4 = e3
% 44.41/14.41  																																												|
% 44.41/14.41  																																												| Equations (434) can reduce 177 to:
% 44.41/14.41  																																												| (311) $false
% 44.41/14.41  																																												|
% 44.41/14.41  																																												|-The branch is then unsatisfiable
% 44.41/14.41  																																											|-Branch two:
% 44.41/14.41  																																											| (417)  ~ (all_0_84_84 = e4)
% 44.41/14.41  																																											| (493) all_0_85_85 = e4
% 44.41/14.41  																																											|
% 44.41/14.41  																																												| Equations (493) can reduce 201 to:
% 44.41/14.41  																																												| (495)  ~ (all_0_93_93 = e4)
% 44.41/14.41  																																												|
% 44.41/14.41  																																												| Simplifying 495 yields:
% 44.41/14.41  																																												| (496)  ~ (all_0_93_93 = e4)
% 44.41/14.41  																																												|
% 44.41/14.41  																																												+-Applying beta-rule and splitting (794), into two cases.
% 44.41/14.41  																																												|-Branch one:
% 44.41/14.41  																																												| (754) all_0_90_90 = e3
% 44.41/14.41  																																												|
% 44.41/14.41  																																													| Equations (754) can reduce 103 to:
% 44.41/14.41  																																													| (1298)  ~ (all_0_91_91 = e3)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Simplifying 1298 yields:
% 44.41/14.41  																																													| (571)  ~ (all_0_91_91 = e3)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Equations (754) can reduce 34 to:
% 44.41/14.41  																																													| (807)  ~ (all_0_93_93 = e3)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Simplifying 807 yields:
% 44.41/14.41  																																													| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Equations (754) can reduce 678 to:
% 44.41/14.41  																																													| (20)  ~ (e3 = e1)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| Equations (754) can reduce 762 to:
% 44.41/14.41  																																													| (50)  ~ (e3 = e0)
% 44.41/14.41  																																													|
% 44.41/14.41  																																													| From (754) and (743) follows:
% 44.41/14.41  																																													| (831) op(e3, e3) = e1
% 44.41/14.42  																																													|
% 44.41/14.42  																																													+-Applying beta-rule and splitting (1400), into two cases.
% 44.41/14.42  																																													|-Branch one:
% 44.41/14.42  																																													| (1456) all_0_91_91 = e0
% 44.41/14.42  																																													|
% 44.41/14.42  																																														| Equations (1456) can reduce 571 to:
% 44.41/14.42  																																														| (906)  ~ (e3 = e0)
% 44.41/14.42  																																														|
% 44.41/14.42  																																														| Simplifying 906 yields:
% 44.41/14.42  																																														| (50)  ~ (e3 = e0)
% 44.41/14.42  																																														|
% 44.41/14.42  																																														| Equations (1456) can reduce 959 to:
% 44.41/14.42  																																														| (859)  ~ (e1 = e0)
% 44.41/14.42  																																														|
% 44.41/14.42  																																														| Simplifying 859 yields:
% 44.41/14.42  																																														| (264)  ~ (e1 = e0)
% 44.41/14.42  																																														|
% 44.41/14.42  																																														+-Applying beta-rule and splitting (1921), into two cases.
% 44.41/14.42  																																														|-Branch one:
% 44.41/14.42  																																														| (1837) all_0_96_96 = e0
% 44.41/14.42  																																														|
% 44.41/14.42  																																															| Combining equations (778,1837) yields a new equation:
% 44.41/14.42  																																															| (599) e3 = e0
% 44.41/14.42  																																															|
% 44.41/14.42  																																															| Simplifying 599 yields:
% 44.41/14.42  																																															| (600) e3 = e0
% 44.41/14.42  																																															|
% 44.41/14.42  																																															| Equations (600) can reduce 50 to:
% 44.41/14.42  																																															| (311) $false
% 44.41/14.42  																																															|
% 44.41/14.42  																																															|-The branch is then unsatisfiable
% 44.41/14.42  																																														|-Branch two:
% 44.41/14.42  																																														| (2095)  ~ (all_0_96_96 = e0)
% 44.41/14.42  																																														| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.41/14.42  																																														|
% 44.41/14.42  																																															+-Applying beta-rule and splitting (2096), into two cases.
% 44.41/14.42  																																															|-Branch one:
% 44.41/14.42  																																															| (560) all_0_97_97 = e0
% 44.41/14.42  																																															|
% 44.41/14.42  																																																| Equations (560) can reduce 609 to:
% 44.41/14.42  																																																| (311) $false
% 44.41/14.42  																																																|
% 44.41/14.42  																																																|-The branch is then unsatisfiable
% 44.41/14.42  																																															|-Branch two:
% 44.41/14.42  																																															| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.42  																																															| (1121) all_0_98_98 = e0
% 44.41/14.42  																																															|
% 44.41/14.42  																																																| Equations (1121) can reduce 13 to:
% 44.41/14.42  																																																| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.42  																																																|
% 44.41/14.42  																																																| Equations (1121) can reduce 148 to:
% 44.41/14.42  																																																| (609)  ~ (all_0_97_97 = e0)
% 44.41/14.42  																																																|
% 44.41/14.42  																																																+-Applying beta-rule and splitting (108), into two cases.
% 44.41/14.42  																																																|-Branch one:
% 44.41/14.42  																																																| (477) all_0_81_81 = e1
% 44.41/14.42  																																																|
% 44.41/14.42  																																																	| Combining equations (477,635) yields a new equation:
% 44.41/14.42  																																																	| (772) e3 = e1
% 44.41/14.42  																																																	|
% 44.41/14.42  																																																	| Equations (772) can reduce 20 to:
% 44.41/14.42  																																																	| (311) $false
% 44.41/14.42  																																																	|
% 44.41/14.42  																																																	|-The branch is then unsatisfiable
% 44.41/14.42  																																																|-Branch two:
% 44.41/14.42  																																																| (628)  ~ (all_0_81_81 = e1)
% 44.41/14.42  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.42  																																																|
% 44.41/14.42  																																																	+-Applying beta-rule and splitting (65), into two cases.
% 44.41/14.42  																																																	|-Branch one:
% 44.41/14.42  																																																	| (522) all_0_93_93 = e2
% 44.41/14.42  																																																	|
% 44.41/14.42  																																																		| Equations (522) can reduce 300 to:
% 44.41/14.42  																																																		| (311) $false
% 44.41/14.42  																																																		|
% 44.41/14.42  																																																		|-The branch is then unsatisfiable
% 44.41/14.42  																																																	|-Branch two:
% 44.41/14.42  																																																	| (300)  ~ (all_0_93_93 = e2)
% 44.41/14.42  																																																	| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.41/14.42  																																																	|
% 44.41/14.42  																																																		+-Applying beta-rule and splitting (541), into two cases.
% 44.41/14.42  																																																		|-Branch one:
% 44.41/14.42  																																																		| (542) all_0_97_97 = e1
% 44.41/14.42  																																																		|
% 44.41/14.42  																																																			| Equations (542) can reduce 428 to:
% 44.41/14.42  																																																			| (683)  ~ (e3 = e1)
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																			| Simplifying 683 yields:
% 44.41/14.42  																																																			| (20)  ~ (e3 = e1)
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																			| Equations (542) can reduce 527 to:
% 44.41/14.42  																																																			| (487)  ~ (e2 = e1)
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																			| Simplifying 487 yields:
% 44.41/14.42  																																																			| (243)  ~ (e2 = e1)
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																			| Equations (542) can reduce 609 to:
% 44.41/14.42  																																																			| (264)  ~ (e1 = e0)
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																			+-Applying beta-rule and splitting (132), into two cases.
% 44.41/14.42  																																																			|-Branch one:
% 44.41/14.42  																																																			| (750) all_0_90_90 = e1
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																				| Combining equations (750,754) yields a new equation:
% 44.41/14.42  																																																				| (772) e3 = e1
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																				| Equations (772) can reduce 20 to:
% 44.41/14.42  																																																				| (311) $false
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																				|-The branch is then unsatisfiable
% 44.41/14.42  																																																			|-Branch two:
% 44.41/14.42  																																																			| (678)  ~ (all_0_90_90 = e1)
% 44.41/14.42  																																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																				+-Applying beta-rule and splitting (817), into two cases.
% 44.41/14.42  																																																				|-Branch one:
% 44.41/14.42  																																																				| (504) all_0_88_88 = e1
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																					| Combining equations (370,504) yields a new equation:
% 44.41/14.42  																																																					| (408) e2 = e1
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																					| Simplifying 408 yields:
% 44.41/14.42  																																																					| (385) e2 = e1
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																					| Equations (385) can reduce 243 to:
% 44.41/14.42  																																																					| (311) $false
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																					|-The branch is then unsatisfiable
% 44.41/14.42  																																																				|-Branch two:
% 44.41/14.42  																																																				| (479)  ~ (all_0_88_88 = e1)
% 44.41/14.42  																																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																					+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.42  																																																					|-Branch one:
% 44.41/14.42  																																																					| (566) all_0_93_93 = e1
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						| Equations (566) can reduce 509 to:
% 44.41/14.42  																																																						| (264)  ~ (e1 = e0)
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						| Instantiating formula (262) with e3, e3, e1, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e1, yields:
% 44.41/14.42  																																																						| (10509) all_0_63_63 = e1
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						| Instantiating formula (262) with e3, e3, e0, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e0, yields:
% 44.41/14.42  																																																						| (4460) all_0_63_63 = e0
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						| Combining equations (10509,4460) yields a new equation:
% 44.41/14.42  																																																						| (1107) e1 = e0
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						| Simplifying 1107 yields:
% 44.41/14.42  																																																						| (865) e1 = e0
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						| Equations (865) can reduce 264 to:
% 44.41/14.42  																																																						| (311) $false
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						|-The branch is then unsatisfiable
% 44.41/14.42  																																																					|-Branch two:
% 44.41/14.42  																																																					| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.42  																																																					| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						+-Applying beta-rule and splitting (1526), into two cases.
% 44.41/14.42  																																																						|-Branch one:
% 44.41/14.42  																																																						| (801) all_0_91_91 = e1
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																							| Combining equations (801,1456) yields a new equation:
% 44.41/14.42  																																																							| (1107) e1 = e0
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							| Simplifying 1107 yields:
% 44.41/14.42  																																																							| (865) e1 = e0
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							| Equations (865) can reduce 264 to:
% 44.41/14.42  																																																							| (311) $false
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							|-The branch is then unsatisfiable
% 44.41/14.42  																																																						|-Branch two:
% 44.41/14.42  																																																						| (959)  ~ (all_0_91_91 = e1)
% 44.41/14.42  																																																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																							| Equations (1456) can reduce 959 to:
% 44.41/14.42  																																																							| (859)  ~ (e1 = e0)
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							| Simplifying 859 yields:
% 44.41/14.42  																																																							| (264)  ~ (e1 = e0)
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							+-Applying beta-rule and splitting (897), into two cases.
% 44.41/14.42  																																																							|-Branch one:
% 44.41/14.42  																																																							| (566) all_0_93_93 = e1
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																								| Equations (566) can reduce 481 to:
% 44.41/14.42  																																																								| (311) $false
% 44.41/14.42  																																																								|
% 44.41/14.42  																																																								|-The branch is then unsatisfiable
% 44.41/14.42  																																																							|-Branch two:
% 44.41/14.42  																																																							| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.42  																																																							| (1543) all_0_98_98 = e1
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																								| Combining equations (1543,1121) yields a new equation:
% 44.41/14.42  																																																								| (1107) e1 = e0
% 44.41/14.42  																																																								|
% 44.41/14.42  																																																								| Simplifying 1107 yields:
% 44.41/14.42  																																																								| (865) e1 = e0
% 44.41/14.42  																																																								|
% 44.41/14.42  																																																								| Equations (865) can reduce 264 to:
% 44.41/14.42  																																																								| (311) $false
% 44.41/14.42  																																																								|
% 44.41/14.42  																																																								|-The branch is then unsatisfiable
% 44.41/14.42  																																																		|-Branch two:
% 44.41/14.42  																																																		| (486)  ~ (all_0_97_97 = e1)
% 44.41/14.42  																																																		| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.41/14.42  																																																		|
% 44.41/14.42  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 44.41/14.42  																																																			|-Branch one:
% 44.41/14.42  																																																			| (482) all_0_87_87 = e1
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																				| Combining equations (861,482) yields a new equation:
% 44.41/14.42  																																																				| (865) e1 = e0
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																				| Equations (865) can reduce 264 to:
% 44.41/14.42  																																																				| (311) $false
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																				|-The branch is then unsatisfiable
% 44.41/14.42  																																																			|-Branch two:
% 44.41/14.42  																																																			| (625)  ~ (all_0_87_87 = e1)
% 44.41/14.42  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.41/14.42  																																																			|
% 44.41/14.42  																																																				+-Applying beta-rule and splitting (565), into two cases.
% 44.41/14.42  																																																				|-Branch one:
% 44.41/14.42  																																																				| (566) all_0_93_93 = e1
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																					| Equations (566) can reduce 283 to:
% 44.41/14.42  																																																					| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																					+-Applying beta-rule and splitting (835), into two cases.
% 44.41/14.42  																																																					|-Branch one:
% 44.41/14.42  																																																					| (836) all_0_92_92 = e1
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						| Equations (836) can reduce 840 to:
% 44.41/14.42  																																																						| (311) $false
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						|-The branch is then unsatisfiable
% 44.41/14.42  																																																					|-Branch two:
% 44.41/14.42  																																																					| (840)  ~ (all_0_92_92 = e1)
% 44.41/14.42  																																																					| (542) all_0_97_97 = e1
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						| Equations (542) can reduce 486 to:
% 44.41/14.42  																																																						| (311) $false
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						|-The branch is then unsatisfiable
% 44.41/14.42  																																																				|-Branch two:
% 44.41/14.42  																																																				| (481)  ~ (all_0_93_93 = e1)
% 44.41/14.42  																																																				| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.41/14.42  																																																				|
% 44.41/14.42  																																																					+-Applying beta-rule and splitting (569), into two cases.
% 44.41/14.42  																																																					|-Branch one:
% 44.41/14.42  																																																					| (570) all_0_93_93 = e3
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						| Equations (570) can reduce 602 to:
% 44.41/14.42  																																																						| (311) $false
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																						|-The branch is then unsatisfiable
% 44.41/14.42  																																																					|-Branch two:
% 44.41/14.42  																																																					| (602)  ~ (all_0_93_93 = e3)
% 44.41/14.42  																																																					| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.41/14.42  																																																					|
% 44.41/14.42  																																																						+-Applying beta-rule and splitting (603), into two cases.
% 44.41/14.42  																																																						|-Branch one:
% 44.41/14.42  																																																						| (604) all_0_93_93 = e0
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																							| Equations (604) can reduce 509 to:
% 44.41/14.42  																																																							| (311) $false
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							|-The branch is then unsatisfiable
% 44.41/14.42  																																																						|-Branch two:
% 44.41/14.42  																																																						| (509)  ~ (all_0_93_93 = e0)
% 44.41/14.42  																																																						| (607) all_0_93_93 = e4
% 44.41/14.42  																																																						|
% 44.41/14.42  																																																							| Equations (607) can reduce 496 to:
% 44.41/14.42  																																																							| (311) $false
% 44.41/14.42  																																																							|
% 44.41/14.42  																																																							|-The branch is then unsatisfiable
% 44.50/14.42  																																													|-Branch two:
% 44.50/14.42  																																													| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.42  																																													| (1837) all_0_96_96 = e0
% 44.50/14.42  																																													|
% 44.50/14.42  																																														| Combining equations (1837,778) yields a new equation:
% 44.50/14.42  																																														| (600) e3 = e0
% 44.50/14.42  																																														|
% 44.50/14.42  																																														| Equations (600) can reduce 50 to:
% 44.50/14.42  																																														| (311) $false
% 44.50/14.42  																																														|
% 44.50/14.42  																																														|-The branch is then unsatisfiable
% 44.50/14.42  																																												|-Branch two:
% 44.50/14.42  																																												| (745)  ~ (all_0_90_90 = e3)
% 44.50/14.42  																																												| (744) all_0_95_95 = e3
% 44.50/14.42  																																												|
% 44.50/14.42  																																													| Combining equations (744,767) yields a new equation:
% 44.50/14.42  																																													| (547) e3 = e2
% 44.50/14.42  																																													|
% 44.50/14.42  																																													| Simplifying 547 yields:
% 44.50/14.42  																																													| (548) e3 = e2
% 44.50/14.42  																																													|
% 44.50/14.42  																																													| Equations (548) can reduce 169 to:
% 44.50/14.42  																																													| (311) $false
% 44.50/14.42  																																													|
% 44.50/14.42  																																													|-The branch is then unsatisfiable
% 44.50/14.42  																																										|-Branch two:
% 44.50/14.42  																																										| (964)  ~ (all_0_96_96 = e3)
% 44.50/14.42  																																										| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.50/14.42  																																										|
% 44.50/14.42  																																											+-Applying beta-rule and splitting (965), into two cases.
% 44.50/14.42  																																											|-Branch one:
% 44.50/14.42  																																											| (556) all_0_97_97 = e3
% 44.50/14.42  																																											|
% 44.50/14.42  																																												| Equations (556) can reduce 428 to:
% 44.50/14.42  																																												| (311) $false
% 44.50/14.42  																																												|
% 44.50/14.42  																																												|-The branch is then unsatisfiable
% 44.50/14.42  																																											|-Branch two:
% 44.50/14.42  																																											| (428)  ~ (all_0_97_97 = e3)
% 44.50/14.42  																																											| (969) all_0_98_98 = e3
% 44.50/14.42  																																											|
% 44.50/14.42  																																												| Equations (969) can reduce 1519 to:
% 44.50/14.42  																																												| (311) $false
% 44.50/14.42  																																												|
% 44.50/14.42  																																												|-The branch is then unsatisfiable
% 44.50/14.42  																																						|-Branch two:
% 44.50/14.42  																																						| (422)  ~ (all_0_84_84 = e3)
% 44.50/14.42  																																						| (804) all_0_85_85 = e3
% 44.50/14.42  																																						|
% 44.50/14.42  																																							| Equations (804) can reduce 952 to:
% 44.50/14.42  																																							| (311) $false
% 44.50/14.42  																																							|
% 44.50/14.42  																																							|-The branch is then unsatisfiable
% 44.50/14.42  																																				|-Branch two:
% 44.50/14.42  																																				| (914)  ~ (all_0_82_82 = e0)
% 44.50/14.42  																																				| (469) all_0_82_82 = e4
% 44.50/14.42  																																				|
% 44.50/14.42  																																					| Equations (469) can reduce 465 to:
% 44.50/14.42  																																					| (311) $false
% 44.50/14.42  																																					|
% 44.50/14.42  																																					|-The branch is then unsatisfiable
% 44.50/14.42  																										|-Branch two:
% 44.50/14.42  																										| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.50/14.42  																										|
% 44.50/14.42  																											| Applying alpha-rule on (973) yields:
% 44.50/14.42  																											| (974) all_0_50_50 = e0
% 44.50/14.42  																											| (975)  ~ (all_0_51_51 = e3)
% 44.50/14.42  																											|
% 44.50/14.42  																											| Combining equations (974,13437) yields a new equation:
% 44.50/14.42  																											| (379) e2 = e0
% 44.50/14.42  																											|
% 44.50/14.42  																											| Equations (379) can reduce 76 to:
% 44.50/14.42  																											| (311) $false
% 44.50/14.42  																											|
% 44.50/14.42  																											|-The branch is then unsatisfiable
% 44.50/14.42  																					|-Branch two:
% 44.50/14.42  																					| (640)  ~ (all_0_78_78 = e4)
% 44.50/14.42  																					| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.50/14.42  																					|
% 44.50/14.42  																						+-Applying beta-rule and splitting (24), into two cases.
% 44.50/14.42  																						|-Branch one:
% 44.50/14.42  																						| (400) all_0_78_78 = e2
% 44.50/14.42  																						|
% 44.50/14.42  																							| Equations (400) can reduce 346 to:
% 44.50/14.42  																							| (311) $false
% 44.50/14.42  																							|
% 44.50/14.42  																							|-The branch is then unsatisfiable
% 44.50/14.42  																						|-Branch two:
% 44.50/14.42  																						| (346)  ~ (all_0_78_78 = e2)
% 44.50/14.42  																						| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.50/14.42  																						|
% 44.50/14.42  																							+-Applying beta-rule and splitting (675), into two cases.
% 44.50/14.42  																							|-Branch one:
% 44.50/14.42  																							| (676) all_0_78_78 = e1
% 44.50/14.42  																							|
% 44.50/14.42  																								| Equations (676) can reduce 1601 to:
% 44.50/14.42  																								| (311) $false
% 44.50/14.42  																								|
% 44.50/14.42  																								|-The branch is then unsatisfiable
% 44.50/14.42  																							|-Branch two:
% 44.50/14.42  																							| (1601)  ~ (all_0_78_78 = e1)
% 44.50/14.42  																							| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.50/14.42  																							|
% 44.50/14.42  																								+-Applying beta-rule and splitting (641), into two cases.
% 44.50/14.42  																								|-Branch one:
% 44.50/14.42  																								| (433) all_0_80_80 = e4
% 44.50/14.42  																								|
% 44.50/14.42  																									| Combining equations (546,433) yields a new equation:
% 44.50/14.42  																									| (310) e4 = e2
% 44.50/14.42  																									|
% 44.50/14.42  																									| Equations (310) can reduce 79 to:
% 44.50/14.42  																									| (311) $false
% 44.50/14.42  																									|
% 44.50/14.42  																									|-The branch is then unsatisfiable
% 44.50/14.42  																								|-Branch two:
% 44.50/14.42  																								| (436)  ~ (all_0_80_80 = e4)
% 44.50/14.42  																								| (638) all_0_81_81 = e4
% 44.50/14.42  																								|
% 44.50/14.42  																									| Equations (638) can reduce 278 to:
% 44.50/14.42  																									| (640)  ~ (all_0_78_78 = e4)
% 44.50/14.42  																									|
% 44.50/14.42  																									| Equations (638) can reduce 118 to:
% 44.50/14.42  																									| (647)  ~ (all_0_85_85 = e4)
% 44.50/14.42  																									|
% 44.50/14.42  																									| Simplifying 647 yields:
% 44.50/14.42  																									| (648)  ~ (all_0_85_85 = e4)
% 44.50/14.42  																									|
% 44.50/14.42  																									| Equations (638) can reduce 277 to:
% 44.50/14.42  																									| (495)  ~ (all_0_93_93 = e4)
% 44.50/14.42  																									|
% 44.50/14.42  																									| Simplifying 495 yields:
% 44.50/14.42  																									| (496)  ~ (all_0_93_93 = e4)
% 44.50/14.42  																									|
% 44.50/14.42  																									| Equations (638) can reduce 257 to:
% 44.50/14.42  																									| (23)  ~ (e4 = e0)
% 44.50/14.42  																									|
% 44.50/14.42  																									+-Applying beta-rule and splitting (1606), into two cases.
% 44.50/14.42  																									|-Branch one:
% 44.50/14.42  																									| (771) all_0_78_78 = e3
% 44.50/14.42  																									|
% 44.50/14.42  																										| Equations (771) can reduce 193 to:
% 44.50/14.42  																										| (3271)  ~ (all_0_82_82 = e3)
% 44.50/14.42  																										|
% 44.50/14.42  																										| Simplifying 3271 yields:
% 44.50/14.42  																										| (793)  ~ (all_0_82_82 = e3)
% 44.50/14.42  																										|
% 44.50/14.42  																										| Equations (771) can reduce 85 to:
% 44.50/14.42  																										| (1815)  ~ (all_0_90_90 = e3)
% 44.50/14.42  																										|
% 44.50/14.42  																										| Simplifying 1815 yields:
% 44.50/14.42  																										| (745)  ~ (all_0_90_90 = e3)
% 44.50/14.42  																										|
% 44.50/14.42  																										| Equations (771) can reduce 346 to:
% 44.50/14.42  																										| (169)  ~ (e3 = e2)
% 44.50/14.42  																										|
% 44.50/14.42  																										| From (771) and (104) follows:
% 44.50/14.42  																										| (13158) op(e4, e3) = all_0_44_44
% 44.50/14.42  																										|
% 44.50/14.42  																										| From (771) and (263) follows:
% 44.50/14.42  																										| (3281) op(e4, e3) = e3
% 44.50/14.42  																										|
% 44.50/14.43  																										| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 44.50/14.43  																										| (13235) all_0_44_44 = e3
% 44.50/14.43  																										|
% 44.50/14.43  																										+-Applying beta-rule and splitting (186), into two cases.
% 44.50/14.43  																										|-Branch one:
% 44.50/14.43  																										| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 44.50/14.43  																										|
% 44.50/14.43  																											+-Applying beta-rule and splitting (726), into two cases.
% 44.50/14.43  																											|-Branch one:
% 44.50/14.43  																											| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 44.50/14.43  																											|
% 44.50/14.43  																												+-Applying beta-rule and splitting (727), into two cases.
% 44.50/14.43  																												|-Branch one:
% 44.50/14.43  																												| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 44.50/14.43  																												|
% 44.50/14.43  																													| Applying alpha-rule on (728) yields:
% 44.50/14.43  																													| (729) all_0_43_43 = e4
% 44.50/14.43  																													| (730)  ~ (all_0_44_44 = e3)
% 44.50/14.43  																													|
% 44.50/14.43  																													| Equations (13235) can reduce 730 to:
% 44.50/14.43  																													| (311) $false
% 44.50/14.43  																													|
% 44.50/14.43  																													|-The branch is then unsatisfiable
% 44.50/14.43  																												|-Branch two:
% 44.50/14.43  																												| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 44.50/14.43  																												|
% 44.50/14.43  																													| Applying alpha-rule on (734) yields:
% 44.50/14.43  																													| (735) all_0_46_46 = e2
% 44.50/14.43  																													| (736)  ~ (all_0_47_47 = e3)
% 44.50/14.43  																													|
% 44.50/14.43  																													| Combining equations (735,13664) yields a new equation:
% 44.50/14.43  																													| (552) all_0_84_84 = e2
% 44.50/14.43  																													|
% 44.50/14.43  																													| Equations (552) can reduce 612 to:
% 44.50/14.43  																													| (311) $false
% 44.50/14.43  																													|
% 44.50/14.43  																													|-The branch is then unsatisfiable
% 44.50/14.43  																											|-Branch two:
% 44.50/14.43  																											| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 44.50/14.43  																											|
% 44.50/14.43  																												| Applying alpha-rule on (740) yields:
% 44.50/14.43  																												| (741) all_0_48_48 = e1
% 44.50/14.43  																												| (742)  ~ (all_0_49_49 = e3)
% 44.50/14.43  																												|
% 44.50/14.43  																												| From (741) and (217) follows:
% 44.50/14.43  																												| (743) op(e3, all_0_90_90) = e1
% 44.50/14.43  																												|
% 44.50/14.43  																												+-Applying beta-rule and splitting (109), into two cases.
% 44.50/14.43  																												|-Branch one:
% 44.50/14.43  																												| (469) all_0_82_82 = e4
% 44.50/14.43  																												|
% 44.50/14.43  																													| Equations (469) can reduce 255 to:
% 44.50/14.43  																													| (466)  ~ (all_0_90_90 = e4)
% 44.50/14.43  																													|
% 44.50/14.43  																													| Simplifying 466 yields:
% 44.50/14.43  																													| (467)  ~ (all_0_90_90 = e4)
% 44.50/14.43  																													|
% 44.50/14.43  																													| Equations (469) can reduce 347 to:
% 44.50/14.43  																													| (79)  ~ (e4 = e2)
% 44.50/14.43  																													|
% 44.50/14.43  																													| Equations (469) can reduce 198 to:
% 44.50/14.43  																													| (256)  ~ (e4 = e1)
% 44.50/14.43  																													|
% 44.50/14.43  																													+-Applying beta-rule and splitting (92), into two cases.
% 44.50/14.43  																													|-Branch one:
% 44.50/14.43  																													| (552) all_0_84_84 = e2
% 44.50/14.43  																													|
% 44.50/14.43  																														| Equations (552) can reduce 612 to:
% 44.50/14.43  																														| (311) $false
% 44.50/14.43  																														|
% 44.50/14.43  																														|-The branch is then unsatisfiable
% 44.50/14.43  																													|-Branch two:
% 44.50/14.43  																													| (612)  ~ (all_0_84_84 = e2)
% 44.50/14.43  																													| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.50/14.43  																													|
% 44.50/14.43  																														+-Applying beta-rule and splitting (46), into two cases.
% 44.50/14.43  																														|-Branch one:
% 44.50/14.43  																														| (308) all_0_89_89 = e4
% 44.50/14.43  																														|
% 44.50/14.43  																															| Combining equations (292,308) yields a new equation:
% 44.50/14.43  																															| (310) e4 = e2
% 44.50/14.43  																															|
% 44.50/14.43  																															| Equations (310) can reduce 79 to:
% 44.50/14.43  																															| (311) $false
% 44.50/14.43  																															|
% 44.50/14.43  																															|-The branch is then unsatisfiable
% 44.50/14.43  																														|-Branch two:
% 44.50/14.43  																														| (312)  ~ (all_0_89_89 = e4)
% 44.50/14.43  																														| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.50/14.43  																														|
% 44.50/14.43  																															+-Applying beta-rule and splitting (254), into two cases.
% 44.50/14.43  																															|-Branch one:
% 44.50/14.43  																															| (910) all_0_82_82 = e0
% 44.50/14.43  																															|
% 44.50/14.43  																																| Combining equations (469,910) yields a new equation:
% 44.50/14.43  																																| (911) e4 = e0
% 44.50/14.43  																																|
% 44.50/14.43  																																| Simplifying 911 yields:
% 44.50/14.43  																																| (912) e4 = e0
% 44.50/14.43  																																|
% 44.50/14.43  																																| Equations (912) can reduce 23 to:
% 44.50/14.43  																																| (311) $false
% 44.50/14.43  																																|
% 44.50/14.43  																																|-The branch is then unsatisfiable
% 44.50/14.43  																															|-Branch two:
% 44.50/14.43  																															| (914)  ~ (all_0_82_82 = e0)
% 44.50/14.43  																															| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.50/14.43  																															|
% 44.50/14.43  																																+-Applying beta-rule and splitting (1915), into two cases.
% 44.50/14.43  																																|-Branch one:
% 44.50/14.43  																																| (583) all_0_90_90 = e4
% 44.50/14.43  																																|
% 44.50/14.43  																																	| Equations (583) can reduce 467 to:
% 44.50/14.43  																																	| (311) $false
% 44.50/14.43  																																	|
% 44.50/14.43  																																	|-The branch is then unsatisfiable
% 44.50/14.43  																																|-Branch two:
% 44.50/14.43  																																| (467)  ~ (all_0_90_90 = e4)
% 44.50/14.43  																																| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.50/14.43  																																|
% 44.50/14.43  																																	+-Applying beta-rule and splitting (915), into two cases.
% 44.50/14.43  																																	|-Branch one:
% 44.50/14.43  																																	| (378) all_0_86_86 = e0
% 44.50/14.43  																																	|
% 44.50/14.43  																																		| Combining equations (384,378) yields a new equation:
% 44.50/14.43  																																		| (1107) e1 = e0
% 44.50/14.43  																																		|
% 44.50/14.43  																																		| Simplifying 1107 yields:
% 44.50/14.43  																																		| (865) e1 = e0
% 44.50/14.43  																																		|
% 44.50/14.43  																																		| Equations (865) can reduce 264 to:
% 44.50/14.43  																																		| (311) $false
% 44.50/14.43  																																		|
% 44.50/14.43  																																		|-The branch is then unsatisfiable
% 44.50/14.43  																																	|-Branch two:
% 44.50/14.43  																																	| (381)  ~ (all_0_86_86 = e0)
% 44.50/14.43  																																	| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.50/14.43  																																	|
% 44.50/14.43  																																		+-Applying beta-rule and splitting (1928), into two cases.
% 44.50/14.43  																																		|-Branch one:
% 44.50/14.43  																																		| (442) all_0_92_92 = e4
% 44.50/14.43  																																		|
% 44.50/14.43  																																			| Equations (442) can reduce 87 to:
% 44.50/14.43  																																			| (417)  ~ (all_0_84_84 = e4)
% 44.50/14.43  																																			|
% 44.50/14.43  																																			| Equations (442) can reduce 283 to:
% 44.50/14.43  																																			| (495)  ~ (all_0_93_93 = e4)
% 44.50/14.43  																																			|
% 44.50/14.43  																																			| Simplifying 495 yields:
% 44.50/14.43  																																			| (496)  ~ (all_0_93_93 = e4)
% 44.50/14.43  																																			|
% 44.50/14.43  																																			+-Applying beta-rule and splitting (132), into two cases.
% 44.50/14.43  																																			|-Branch one:
% 44.50/14.43  																																			| (750) all_0_90_90 = e1
% 44.50/14.43  																																			|
% 44.50/14.43  																																				| Equations (750) can reduce 678 to:
% 44.50/14.43  																																				| (311) $false
% 44.50/14.43  																																				|
% 44.50/14.43  																																				|-The branch is then unsatisfiable
% 44.50/14.43  																																			|-Branch two:
% 44.50/14.43  																																			| (678)  ~ (all_0_90_90 = e1)
% 44.50/14.43  																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.50/14.43  																																			|
% 44.50/14.43  																																				+-Applying beta-rule and splitting (927), into two cases.
% 44.50/14.43  																																				|-Branch one:
% 44.50/14.43  																																				| (758) all_0_90_90 = e0
% 44.50/14.43  																																				|
% 44.50/14.43  																																					| Equations (758) can reduce 103 to:
% 44.50/14.43  																																					| (1830)  ~ (all_0_91_91 = e0)
% 44.50/14.43  																																					|
% 44.50/14.43  																																					| Simplifying 1830 yields:
% 44.50/14.43  																																					| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.43  																																					|
% 44.50/14.43  																																					| From (758) and (743) follows:
% 44.50/14.43  																																					| (759) op(e3, e0) = e1
% 44.50/14.43  																																					|
% 44.50/14.43  																																					+-Applying beta-rule and splitting (1526), into two cases.
% 44.50/14.43  																																					|-Branch one:
% 44.50/14.43  																																					| (801) all_0_91_91 = e1
% 44.50/14.43  																																					|
% 44.50/14.43  																																						| Equations (801) can reduce 959 to:
% 44.50/14.43  																																						| (311) $false
% 44.50/14.43  																																						|
% 44.50/14.43  																																						|-The branch is then unsatisfiable
% 44.50/14.43  																																					|-Branch two:
% 44.50/14.43  																																					| (959)  ~ (all_0_91_91 = e1)
% 44.50/14.43  																																					| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.50/14.43  																																					|
% 44.50/14.43  																																						+-Applying beta-rule and splitting (1400), into two cases.
% 44.50/14.43  																																						|-Branch one:
% 44.50/14.43  																																						| (1456) all_0_91_91 = e0
% 44.50/14.43  																																						|
% 44.50/14.43  																																							| Equations (1456) can reduce 1487 to:
% 44.50/14.43  																																							| (311) $false
% 44.50/14.43  																																							|
% 44.50/14.43  																																							|-The branch is then unsatisfiable
% 44.50/14.43  																																						|-Branch two:
% 44.50/14.43  																																						| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.43  																																						| (1837) all_0_96_96 = e0
% 44.50/14.43  																																						|
% 44.50/14.43  																																							| Equations (1837) can reduce 64 to:
% 44.50/14.43  																																							| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Equations (1837) can reduce 22 to:
% 44.50/14.43  																																							| (938)  ~ (all_0_97_97 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Simplifying 938 yields:
% 44.50/14.43  																																							| (609)  ~ (all_0_97_97 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Equations (1837) can reduce 115 to:
% 44.50/14.43  																																							| (904)  ~ (e4 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Simplifying 904 yields:
% 44.50/14.43  																																							| (23)  ~ (e4 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Equations (1837) can reduce 1638 to:
% 44.50/14.43  																																							| (510)  ~ (e2 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							| Simplifying 510 yields:
% 44.50/14.43  																																							| (76)  ~ (e2 = e0)
% 44.50/14.43  																																							|
% 44.50/14.43  																																							+-Applying beta-rule and splitting (151), into two cases.
% 44.50/14.43  																																							|-Branch one:
% 44.50/14.43  																																							| (824) all_0_80_80 = e1
% 44.50/14.43  																																							|
% 44.50/14.43  																																								| Combining equations (546,824) yields a new equation:
% 44.50/14.43  																																								| (408) e2 = e1
% 44.50/14.43  																																								|
% 44.50/14.43  																																								| Simplifying 408 yields:
% 44.50/14.43  																																								| (385) e2 = e1
% 44.50/14.43  																																								|
% 44.50/14.43  																																								| Equations (385) can reduce 243 to:
% 44.50/14.43  																																								| (311) $false
% 44.50/14.43  																																								|
% 44.50/14.43  																																								|-The branch is then unsatisfiable
% 44.50/14.43  																																							|-Branch two:
% 44.50/14.43  																																							| (828)  ~ (all_0_80_80 = e1)
% 44.50/14.43  																																							| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.50/14.43  																																							|
% 44.50/14.43  																																								+-Applying beta-rule and splitting (617), into two cases.
% 44.50/14.43  																																								|-Branch one:
% 44.50/14.43  																																								| (1265) all_0_84_84 = e3
% 44.50/14.43  																																								|
% 44.50/14.43  																																									| Equations (1265) can reduce 612 to:
% 44.50/14.43  																																									| (169)  ~ (e3 = e2)
% 44.50/14.43  																																									|
% 44.50/14.43  																																									+-Applying beta-rule and splitting (112), into two cases.
% 44.50/14.43  																																									|-Branch one:
% 44.50/14.43  																																									| (538) all_0_97_97 = e2
% 44.50/14.43  																																									|
% 44.50/14.43  																																										| Equations (538) can reduce 527 to:
% 44.50/14.43  																																										| (311) $false
% 44.50/14.43  																																										|
% 44.50/14.43  																																										|-The branch is then unsatisfiable
% 44.50/14.43  																																									|-Branch two:
% 44.50/14.43  																																									| (527)  ~ (all_0_97_97 = e2)
% 44.50/14.43  																																									| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.50/14.43  																																									|
% 44.50/14.43  																																										+-Applying beta-rule and splitting (289), into two cases.
% 44.50/14.43  																																										|-Branch one:
% 44.50/14.43  																																										| (954) all_0_85_85 = e0
% 44.50/14.43  																																										|
% 44.50/14.43  																																											| Equations (954) can reduce 128 to:
% 44.50/14.43  																																											| (859)  ~ (e1 = e0)
% 44.50/14.43  																																											|
% 44.50/14.43  																																											| Simplifying 859 yields:
% 44.50/14.43  																																											| (264)  ~ (e1 = e0)
% 44.50/14.43  																																											|
% 44.50/14.43  																																											| From (954) and (197) follows:
% 44.50/14.43  																																											| (10073) op(e3, e0) = all_0_72_72
% 44.50/14.43  																																											|
% 44.50/14.43  																																											| From (954) and (8) follows:
% 44.50/14.43  																																											| (1093) op(e3, e0) = e0
% 44.50/14.43  																																											|
% 44.50/14.43  																																											+-Applying beta-rule and splitting (829), into two cases.
% 44.50/14.43  																																											|-Branch one:
% 44.50/14.43  																																											| (482) all_0_87_87 = e1
% 44.50/14.43  																																											|
% 44.50/14.43  																																												| Combining equations (861,482) yields a new equation:
% 44.50/14.43  																																												| (865) e1 = e0
% 44.50/14.43  																																												|
% 44.50/14.43  																																												| Equations (865) can reduce 264 to:
% 44.50/14.43  																																												| (311) $false
% 44.50/14.43  																																												|
% 44.50/14.43  																																												|-The branch is then unsatisfiable
% 44.50/14.43  																																											|-Branch two:
% 44.50/14.43  																																											| (625)  ~ (all_0_87_87 = e1)
% 44.50/14.43  																																											| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.50/14.43  																																											|
% 44.50/14.43  																																												+-Applying beta-rule and splitting (108), into two cases.
% 44.50/14.43  																																												|-Branch one:
% 44.50/14.43  																																												| (477) all_0_81_81 = e1
% 44.50/14.43  																																												|
% 44.50/14.43  																																													| Combining equations (477,638) yields a new equation:
% 44.50/14.43  																																													| (814) e4 = e1
% 44.50/14.43  																																													|
% 44.50/14.43  																																													| Equations (814) can reduce 256 to:
% 44.50/14.43  																																													| (311) $false
% 44.50/14.43  																																													|
% 44.50/14.43  																																													|-The branch is then unsatisfiable
% 44.50/14.43  																																												|-Branch two:
% 44.50/14.43  																																												| (628)  ~ (all_0_81_81 = e1)
% 44.50/14.43  																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.50/14.43  																																												|
% 44.50/14.43  																																													| Equations (638) can reduce 628 to:
% 44.50/14.43  																																													| (256)  ~ (e4 = e1)
% 44.50/14.43  																																													|
% 44.50/14.43  																																													+-Applying beta-rule and splitting (65), into two cases.
% 44.50/14.43  																																													|-Branch one:
% 44.50/14.43  																																													| (522) all_0_93_93 = e2
% 44.50/14.43  																																													|
% 44.50/14.43  																																														| Equations (522) can reduce 300 to:
% 44.50/14.43  																																														| (311) $false
% 44.50/14.43  																																														|
% 44.50/14.43  																																														|-The branch is then unsatisfiable
% 44.50/14.43  																																													|-Branch two:
% 44.50/14.43  																																													| (300)  ~ (all_0_93_93 = e2)
% 44.50/14.43  																																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.50/14.43  																																													|
% 44.50/14.43  																																														+-Applying beta-rule and splitting (565), into two cases.
% 44.50/14.43  																																														|-Branch one:
% 44.50/14.43  																																														| (566) all_0_93_93 = e1
% 44.50/14.43  																																														|
% 44.50/14.43  																																															| Equations (566) can reduce 496 to:
% 44.50/14.43  																																															| (681)  ~ (e4 = e1)
% 44.50/14.43  																																															|
% 44.50/14.43  																																															| Simplifying 681 yields:
% 44.50/14.43  																																															| (256)  ~ (e4 = e1)
% 44.50/14.43  																																															|
% 44.50/14.43  																																															+-Applying beta-rule and splitting (541), into two cases.
% 44.50/14.43  																																															|-Branch one:
% 44.50/14.43  																																															| (542) all_0_97_97 = e1
% 44.50/14.43  																																															|
% 44.50/14.43  																																																| Equations (542) can reduce 609 to:
% 44.50/14.43  																																																| (264)  ~ (e1 = e0)
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Instantiating formula (262) with e3, e0, e1, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e1, yields:
% 44.50/14.43  																																																| (845) all_0_72_72 = e1
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 44.50/14.43  																																																| (10076) all_0_72_72 = e0
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Combining equations (10076,845) yields a new equation:
% 44.50/14.43  																																																| (865) e1 = e0
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Equations (865) can reduce 264 to:
% 44.50/14.43  																																																| (311) $false
% 44.50/14.43  																																																|
% 44.50/14.43  																																																|-The branch is then unsatisfiable
% 44.50/14.43  																																															|-Branch two:
% 44.50/14.43  																																															| (486)  ~ (all_0_97_97 = e1)
% 44.50/14.43  																																															| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.50/14.43  																																															|
% 44.50/14.43  																																																+-Applying beta-rule and splitting (835), into two cases.
% 44.50/14.43  																																																|-Branch one:
% 44.50/14.43  																																																| (836) all_0_92_92 = e1
% 44.50/14.43  																																																|
% 44.50/14.43  																																																	| Combining equations (442,836) yields a new equation:
% 44.50/14.43  																																																	| (813) e4 = e1
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																	| Simplifying 813 yields:
% 44.50/14.43  																																																	| (814) e4 = e1
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																	| Equations (814) can reduce 256 to:
% 44.50/14.43  																																																	| (311) $false
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																	|-The branch is then unsatisfiable
% 44.50/14.43  																																																|-Branch two:
% 44.50/14.43  																																																| (840)  ~ (all_0_92_92 = e1)
% 44.50/14.43  																																																| (542) all_0_97_97 = e1
% 44.50/14.43  																																																|
% 44.50/14.43  																																																	| Equations (542) can reduce 486 to:
% 44.50/14.43  																																																	| (311) $false
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																	|-The branch is then unsatisfiable
% 44.50/14.43  																																														|-Branch two:
% 44.50/14.43  																																														| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.43  																																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.50/14.43  																																														|
% 44.50/14.43  																																															+-Applying beta-rule and splitting (1556), into two cases.
% 44.50/14.43  																																															|-Branch one:
% 44.50/14.43  																																															| (836) all_0_92_92 = e1
% 44.50/14.43  																																															|
% 44.50/14.43  																																																| Combining equations (836,442) yields a new equation:
% 44.50/14.43  																																																| (814) e4 = e1
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Equations (814) can reduce 256 to:
% 44.50/14.43  																																																| (311) $false
% 44.50/14.43  																																																|
% 44.50/14.43  																																																|-The branch is then unsatisfiable
% 44.50/14.43  																																															|-Branch two:
% 44.50/14.43  																																															| (840)  ~ (all_0_92_92 = e1)
% 44.50/14.43  																																															| (566) all_0_93_93 = e1
% 44.50/14.43  																																															|
% 44.50/14.43  																																																| Equations (566) can reduce 481 to:
% 44.50/14.43  																																																| (311) $false
% 44.50/14.43  																																																|
% 44.50/14.43  																																																|-The branch is then unsatisfiable
% 44.50/14.43  																																										|-Branch two:
% 44.50/14.43  																																										| (800)  ~ (all_0_85_85 = e0)
% 44.50/14.43  																																										| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.50/14.43  																																										|
% 44.50/14.43  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 44.50/14.43  																																											|-Branch one:
% 44.50/14.43  																																											| (836) all_0_92_92 = e1
% 44.50/14.43  																																											|
% 44.50/14.43  																																												| Combining equations (836,442) yields a new equation:
% 44.50/14.43  																																												| (814) e4 = e1
% 44.50/14.43  																																												|
% 44.50/14.43  																																												| Equations (814) can reduce 256 to:
% 44.50/14.43  																																												| (311) $false
% 44.50/14.43  																																												|
% 44.50/14.43  																																												|-The branch is then unsatisfiable
% 44.50/14.43  																																											|-Branch two:
% 44.50/14.43  																																											| (840)  ~ (all_0_92_92 = e1)
% 44.50/14.43  																																											| (566) all_0_93_93 = e1
% 44.50/14.43  																																											|
% 44.50/14.43  																																												| Equations (566) can reduce 44 to:
% 44.50/14.43  																																												| (959)  ~ (all_0_91_91 = e1)
% 44.50/14.43  																																												|
% 44.50/14.43  																																												+-Applying beta-rule and splitting (249), into two cases.
% 44.50/14.43  																																												|-Branch one:
% 44.50/14.43  																																												| (910) all_0_82_82 = e0
% 44.50/14.43  																																												|
% 44.50/14.43  																																													| Combining equations (469,910) yields a new equation:
% 44.50/14.43  																																													| (911) e4 = e0
% 44.50/14.43  																																													|
% 44.50/14.43  																																													| Simplifying 911 yields:
% 44.50/14.43  																																													| (912) e4 = e0
% 44.50/14.43  																																													|
% 44.50/14.43  																																													| Equations (912) can reduce 23 to:
% 44.50/14.43  																																													| (311) $false
% 44.50/14.43  																																													|
% 44.50/14.43  																																													|-The branch is then unsatisfiable
% 44.50/14.43  																																												|-Branch two:
% 44.50/14.43  																																												| (914)  ~ (all_0_82_82 = e0)
% 44.50/14.43  																																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 44.50/14.43  																																												|
% 44.50/14.43  																																													+-Applying beta-rule and splitting (284), into two cases.
% 44.50/14.43  																																													|-Branch one:
% 44.50/14.43  																																													| (1723) all_0_91_91 = e2
% 44.50/14.43  																																													|
% 44.50/14.43  																																														| Equations (1723) can reduce 296 to:
% 44.50/14.43  																																														| (311) $false
% 44.50/14.43  																																														|
% 44.50/14.43  																																														|-The branch is then unsatisfiable
% 44.50/14.43  																																													|-Branch two:
% 44.50/14.43  																																													| (296)  ~ (all_0_91_91 = e2)
% 44.50/14.43  																																													| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.50/14.43  																																													|
% 44.50/14.43  																																														+-Applying beta-rule and splitting (1726), into two cases.
% 44.50/14.43  																																														|-Branch one:
% 44.50/14.43  																																														| (801) all_0_91_91 = e1
% 44.50/14.43  																																														|
% 44.50/14.43  																																															| Equations (801) can reduce 959 to:
% 44.50/14.43  																																															| (311) $false
% 44.50/14.43  																																															|
% 44.50/14.43  																																															|-The branch is then unsatisfiable
% 44.50/14.43  																																														|-Branch two:
% 44.50/14.43  																																														| (959)  ~ (all_0_91_91 = e1)
% 44.50/14.43  																																														| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 44.50/14.43  																																														|
% 44.50/14.43  																																															+-Applying beta-rule and splitting (270), into two cases.
% 44.50/14.43  																																															|-Branch one:
% 44.50/14.43  																																															| (744) all_0_95_95 = e3
% 44.50/14.43  																																															|
% 44.50/14.43  																																																| Combining equations (767,744) yields a new equation:
% 44.50/14.43  																																																| (548) e3 = e2
% 44.50/14.43  																																																|
% 44.50/14.43  																																																| Equations (548) can reduce 169 to:
% 44.50/14.43  																																																| (311) $false
% 44.50/14.43  																																																|
% 44.50/14.43  																																																|-The branch is then unsatisfiable
% 44.50/14.43  																																															|-Branch two:
% 44.50/14.43  																																															| (765)  ~ (all_0_95_95 = e3)
% 44.50/14.43  																																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.50/14.43  																																															|
% 44.50/14.43  																																																+-Applying beta-rule and splitting (1880), into two cases.
% 44.50/14.43  																																																|-Branch one:
% 44.50/14.43  																																																| (588) all_0_91_91 = e3
% 44.50/14.43  																																																|
% 44.50/14.43  																																																	| Equations (588) can reduce 1487 to:
% 44.50/14.43  																																																	| (50)  ~ (e3 = e0)
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																	+-Applying beta-rule and splitting (1309), into two cases.
% 44.50/14.43  																																																	|-Branch one:
% 44.50/14.43  																																																	| (798) all_0_83_83 = e0
% 44.50/14.43  																																																	|
% 44.50/14.43  																																																		| Combining equations (453,798) yields a new equation:
% 44.50/14.44  																																																		| (923) e2 = e0
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																		| Simplifying 923 yields:
% 44.50/14.44  																																																		| (379) e2 = e0
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																		| Equations (379) can reduce 76 to:
% 44.50/14.44  																																																		| (311) $false
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																		|-The branch is then unsatisfiable
% 44.50/14.44  																																																	|-Branch two:
% 44.50/14.44  																																																	| (1314)  ~ (all_0_83_83 = e0)
% 44.50/14.44  																																																	| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																		+-Applying beta-rule and splitting (766), into two cases.
% 44.50/14.44  																																																		|-Branch one:
% 44.50/14.44  																																																		| (778) all_0_96_96 = e3
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																			| Combining equations (778,1837) yields a new equation:
% 44.50/14.44  																																																			| (599) e3 = e0
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			| Simplifying 599 yields:
% 44.50/14.44  																																																			| (600) e3 = e0
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			| Equations (600) can reduce 50 to:
% 44.50/14.44  																																																			| (311) $false
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			|-The branch is then unsatisfiable
% 44.50/14.44  																																																		|-Branch two:
% 44.50/14.44  																																																		| (964)  ~ (all_0_96_96 = e3)
% 44.50/14.44  																																																		| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																			| Equations (1837) can reduce 964 to:
% 44.50/14.44  																																																			| (906)  ~ (e3 = e0)
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			| Simplifying 906 yields:
% 44.50/14.44  																																																			| (50)  ~ (e3 = e0)
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			+-Applying beta-rule and splitting (1315), into two cases.
% 44.50/14.44  																																																			|-Branch one:
% 44.50/14.44  																																																			| (916) all_0_84_84 = e0
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																				| Combining equations (1265,916) yields a new equation:
% 44.50/14.44  																																																				| (599) e3 = e0
% 44.50/14.44  																																																				|
% 44.50/14.44  																																																				| Simplifying 599 yields:
% 44.50/14.44  																																																				| (600) e3 = e0
% 44.50/14.44  																																																				|
% 44.50/14.44  																																																				| Equations (600) can reduce 50 to:
% 44.50/14.44  																																																				| (311) $false
% 44.50/14.44  																																																				|
% 44.50/14.44  																																																				|-The branch is then unsatisfiable
% 44.50/14.44  																																																			|-Branch two:
% 44.50/14.44  																																																			| (919)  ~ (all_0_84_84 = e0)
% 44.50/14.44  																																																			| (954) all_0_85_85 = e0
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																				| Equations (954) can reduce 800 to:
% 44.50/14.44  																																																				| (311) $false
% 44.50/14.44  																																																				|
% 44.50/14.44  																																																				|-The branch is then unsatisfiable
% 44.50/14.44  																																																|-Branch two:
% 44.50/14.44  																																																| (571)  ~ (all_0_91_91 = e3)
% 44.50/14.44  																																																| (1456) all_0_91_91 = e0
% 44.50/14.44  																																																|
% 44.50/14.44  																																																	| Equations (1456) can reduce 1487 to:
% 44.50/14.44  																																																	| (311) $false
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	|-The branch is then unsatisfiable
% 44.50/14.44  																																								|-Branch two:
% 44.50/14.44  																																								| (422)  ~ (all_0_84_84 = e3)
% 44.50/14.44  																																								| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.50/14.44  																																								|
% 44.50/14.44  																																									+-Applying beta-rule and splitting (1268), into two cases.
% 44.50/14.44  																																									|-Branch one:
% 44.50/14.44  																																									| (916) all_0_84_84 = e0
% 44.50/14.44  																																									|
% 44.50/14.44  																																										| Equations (916) can reduce 919 to:
% 44.50/14.44  																																										| (311) $false
% 44.50/14.44  																																										|
% 44.50/14.44  																																										|-The branch is then unsatisfiable
% 44.50/14.44  																																									|-Branch two:
% 44.50/14.44  																																									| (919)  ~ (all_0_84_84 = e0)
% 44.50/14.44  																																									| (438) all_0_84_84 = e4
% 44.50/14.44  																																									|
% 44.50/14.44  																																										| Equations (438) can reduce 417 to:
% 44.50/14.44  																																										| (311) $false
% 44.50/14.44  																																										|
% 44.50/14.44  																																										|-The branch is then unsatisfiable
% 44.50/14.44  																																				|-Branch two:
% 44.50/14.44  																																				| (762)  ~ (all_0_90_90 = e0)
% 44.50/14.44  																																				| (858) all_0_95_95 = e0
% 44.50/14.44  																																				|
% 44.50/14.44  																																					| Combining equations (767,858) yields a new equation:
% 44.50/14.44  																																					| (923) e2 = e0
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| Simplifying 923 yields:
% 44.50/14.44  																																					| (379) e2 = e0
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| Equations (379) can reduce 76 to:
% 44.50/14.44  																																					| (311) $false
% 44.50/14.44  																																					|
% 44.50/14.44  																																					|-The branch is then unsatisfiable
% 44.50/14.44  																																		|-Branch two:
% 44.50/14.44  																																		| (1619)  ~ (all_0_92_92 = e4)
% 44.50/14.44  																																		| (607) all_0_93_93 = e4
% 44.50/14.44  																																		|
% 44.50/14.44  																																			| Equations (607) can reduce 496 to:
% 44.50/14.44  																																			| (311) $false
% 44.50/14.44  																																			|
% 44.50/14.44  																																			|-The branch is then unsatisfiable
% 44.50/14.44  																												|-Branch two:
% 44.50/14.44  																												| (465)  ~ (all_0_82_82 = e4)
% 44.50/14.44  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.50/14.44  																												|
% 44.50/14.44  																													+-Applying beta-rule and splitting (472), into two cases.
% 44.50/14.44  																													|-Branch one:
% 44.50/14.44  																													| (438) all_0_84_84 = e4
% 44.50/14.44  																													|
% 44.50/14.44  																														| Equations (438) can reduce 7 to:
% 44.50/14.44  																														| (465)  ~ (all_0_82_82 = e4)
% 44.50/14.44  																														|
% 44.50/14.44  																														| Equations (438) can reduce 154 to:
% 44.50/14.44  																														| (647)  ~ (all_0_85_85 = e4)
% 44.50/14.44  																														|
% 44.50/14.44  																														| Simplifying 647 yields:
% 44.50/14.44  																														| (648)  ~ (all_0_85_85 = e4)
% 44.50/14.44  																														|
% 44.50/14.44  																														| Equations (438) can reduce 87 to:
% 44.50/14.44  																														| (1906)  ~ (all_0_92_92 = e4)
% 44.50/14.44  																														|
% 44.50/14.44  																														| Simplifying 1906 yields:
% 44.50/14.44  																														| (1619)  ~ (all_0_92_92 = e4)
% 44.50/14.44  																														|
% 44.50/14.44  																														| Equations (438) can reduce 612 to:
% 44.50/14.44  																														| (79)  ~ (e4 = e2)
% 44.50/14.44  																														|
% 44.50/14.44  																														+-Applying beta-rule and splitting (171), into two cases.
% 44.50/14.44  																														|-Branch one:
% 44.50/14.44  																														| (789) all_0_82_82 = e3
% 44.50/14.44  																														|
% 44.50/14.44  																															| Equations (789) can reduce 793 to:
% 44.50/14.44  																															| (311) $false
% 44.50/14.44  																															|
% 44.50/14.44  																															|-The branch is then unsatisfiable
% 44.50/14.44  																														|-Branch two:
% 44.50/14.44  																														| (793)  ~ (all_0_82_82 = e3)
% 44.50/14.44  																														| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.50/14.44  																														|
% 44.50/14.44  																															+-Applying beta-rule and splitting (10), into two cases.
% 44.50/14.44  																															|-Branch one:
% 44.50/14.44  																															| (530) all_0_82_82 = e2
% 44.50/14.44  																															|
% 44.50/14.44  																																| Equations (530) can reduce 347 to:
% 44.50/14.44  																																| (311) $false
% 44.50/14.44  																																|
% 44.50/14.44  																																|-The branch is then unsatisfiable
% 44.50/14.44  																															|-Branch two:
% 44.50/14.44  																															| (347)  ~ (all_0_82_82 = e2)
% 44.50/14.44  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.50/14.44  																															|
% 44.50/14.44  																																+-Applying beta-rule and splitting (2205), into two cases.
% 44.50/14.44  																																|-Branch one:
% 44.50/14.44  																																| (789) all_0_82_82 = e3
% 44.50/14.44  																																|
% 44.50/14.44  																																	| Equations (789) can reduce 793 to:
% 44.50/14.44  																																	| (311) $false
% 44.50/14.44  																																	|
% 44.50/14.44  																																	|-The branch is then unsatisfiable
% 44.50/14.44  																																|-Branch two:
% 44.50/14.44  																																| (793)  ~ (all_0_82_82 = e3)
% 44.50/14.44  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.50/14.44  																																|
% 44.50/14.44  																																	+-Applying beta-rule and splitting (2706), into two cases.
% 44.50/14.44  																																	|-Branch one:
% 44.50/14.44  																																	| (910) all_0_82_82 = e0
% 44.50/14.44  																																	|
% 44.50/14.44  																																		| Equations (910) can reduce 209 to:
% 44.50/14.44  																																		| (799)  ~ (all_0_85_85 = e0)
% 44.50/14.44  																																		|
% 44.50/14.44  																																		| Simplifying 799 yields:
% 44.50/14.44  																																		| (800)  ~ (all_0_85_85 = e0)
% 44.50/14.44  																																		|
% 44.50/14.44  																																		| Equations (910) can reduce 347 to:
% 44.50/14.44  																																		| (510)  ~ (e2 = e0)
% 44.50/14.44  																																		|
% 44.50/14.44  																																		| Simplifying 510 yields:
% 44.50/14.44  																																		| (76)  ~ (e2 = e0)
% 44.50/14.44  																																		|
% 44.50/14.44  																																		+-Applying beta-rule and splitting (46), into two cases.
% 44.50/14.44  																																		|-Branch one:
% 44.50/14.44  																																		| (308) all_0_89_89 = e4
% 44.50/14.44  																																		|
% 44.50/14.44  																																			| Combining equations (292,308) yields a new equation:
% 44.50/14.44  																																			| (310) e4 = e2
% 44.50/14.44  																																			|
% 44.50/14.44  																																			| Equations (310) can reduce 79 to:
% 44.50/14.44  																																			| (311) $false
% 44.50/14.44  																																			|
% 44.50/14.44  																																			|-The branch is then unsatisfiable
% 44.50/14.44  																																		|-Branch two:
% 44.50/14.44  																																		| (312)  ~ (all_0_89_89 = e4)
% 44.50/14.44  																																		| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.50/14.44  																																		|
% 44.50/14.44  																																			+-Applying beta-rule and splitting (1296), into two cases.
% 44.50/14.44  																																			|-Branch one:
% 44.50/14.44  																																			| (795) all_0_83_83 = e3
% 44.50/14.44  																																			|
% 44.50/14.44  																																				| Combining equations (453,795) yields a new equation:
% 44.50/14.44  																																				| (548) e3 = e2
% 44.50/14.44  																																				|
% 44.50/14.44  																																				| Equations (548) can reduce 169 to:
% 44.50/14.44  																																				| (311) $false
% 44.50/14.44  																																				|
% 44.50/14.44  																																				|-The branch is then unsatisfiable
% 44.50/14.44  																																			|-Branch two:
% 44.50/14.44  																																			| (779)  ~ (all_0_83_83 = e3)
% 44.50/14.44  																																			| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.50/14.44  																																			|
% 44.50/14.44  																																				+-Applying beta-rule and splitting (1915), into two cases.
% 44.50/14.44  																																				|-Branch one:
% 44.50/14.44  																																				| (583) all_0_90_90 = e4
% 44.50/14.44  																																				|
% 44.50/14.44  																																					| Equations (583) can reduce 34 to:
% 44.50/14.44  																																					| (495)  ~ (all_0_93_93 = e4)
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| Simplifying 495 yields:
% 44.50/14.44  																																					| (496)  ~ (all_0_93_93 = e4)
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| Equations (583) can reduce 745 to:
% 44.50/14.44  																																					| (177)  ~ (e4 = e3)
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| Equations (583) can reduce 678 to:
% 44.50/14.44  																																					| (256)  ~ (e4 = e1)
% 44.50/14.44  																																					|
% 44.50/14.44  																																					| From (583) and (35) follows:
% 44.50/14.44  																																					| (10485) op(e1, e4) = all_0_49_49
% 44.50/14.44  																																					|
% 44.50/14.44  																																					+-Applying beta-rule and splitting (1594), into two cases.
% 44.50/14.44  																																					|-Branch one:
% 44.50/14.44  																																					| (1265) all_0_84_84 = e3
% 44.50/14.44  																																					|
% 44.50/14.44  																																						| Combining equations (438,1265) yields a new equation:
% 44.50/14.44  																																						| (790) e4 = e3
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Simplifying 790 yields:
% 44.50/14.44  																																						| (434) e4 = e3
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (434) can reduce 177 to:
% 44.50/14.44  																																						| (311) $false
% 44.50/14.44  																																						|
% 44.50/14.44  																																						|-The branch is then unsatisfiable
% 44.50/14.44  																																					|-Branch two:
% 44.50/14.44  																																					| (422)  ~ (all_0_84_84 = e3)
% 44.50/14.44  																																					| (804) all_0_85_85 = e3
% 44.50/14.44  																																					|
% 44.50/14.44  																																						| Equations (804) can reduce 201 to:
% 44.50/14.44  																																						| (807)  ~ (all_0_93_93 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Simplifying 807 yields:
% 44.50/14.44  																																						| (602)  ~ (all_0_93_93 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (804) can reduce 75 to:
% 44.50/14.44  																																						| (1518)  ~ (all_0_98_98 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Simplifying 1518 yields:
% 44.50/14.44  																																						| (1519)  ~ (all_0_98_98 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (804) can reduce 648 to:
% 44.50/14.44  																																						| (783)  ~ (e4 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Simplifying 783 yields:
% 44.50/14.44  																																						| (177)  ~ (e4 = e3)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (804) can reduce 128 to:
% 44.50/14.44  																																						| (20)  ~ (e3 = e1)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (804) can reduce 800 to:
% 44.50/14.44  																																						| (50)  ~ (e3 = e0)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 44.50/14.44  																																						| (10505) all_0_49_49 = e2
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Equations (10505) can reduce 742 to:
% 44.50/14.44  																																						| (356)  ~ (e3 = e2)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						| Simplifying 356 yields:
% 44.50/14.44  																																						| (169)  ~ (e3 = e2)
% 44.50/14.44  																																						|
% 44.50/14.44  																																						+-Applying beta-rule and splitting (289), into two cases.
% 44.50/14.44  																																						|-Branch one:
% 44.50/14.44  																																						| (954) all_0_85_85 = e0
% 44.50/14.44  																																						|
% 44.50/14.44  																																							| Combining equations (804,954) yields a new equation:
% 44.50/14.44  																																							| (599) e3 = e0
% 44.50/14.44  																																							|
% 44.50/14.44  																																							| Simplifying 599 yields:
% 44.50/14.44  																																							| (600) e3 = e0
% 44.50/14.44  																																							|
% 44.50/14.44  																																							| Equations (600) can reduce 50 to:
% 44.50/14.44  																																							| (311) $false
% 44.50/14.44  																																							|
% 44.50/14.44  																																							|-The branch is then unsatisfiable
% 44.50/14.44  																																						|-Branch two:
% 44.50/14.44  																																						| (800)  ~ (all_0_85_85 = e0)
% 44.50/14.44  																																						| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.50/14.44  																																						|
% 44.50/14.44  																																							| Equations (804) can reduce 800 to:
% 44.50/14.44  																																							| (50)  ~ (e3 = e0)
% 44.50/14.44  																																							|
% 44.50/14.44  																																							+-Applying beta-rule and splitting (176), into two cases.
% 44.50/14.44  																																							|-Branch one:
% 44.50/14.44  																																							| (785) all_0_95_95 = e1
% 44.50/14.44  																																							|
% 44.50/14.44  																																								| Combining equations (785,767) yields a new equation:
% 44.50/14.44  																																								| (385) e2 = e1
% 44.50/14.44  																																								|
% 44.50/14.44  																																								| Equations (385) can reduce 243 to:
% 44.50/14.44  																																								| (311) $false
% 44.50/14.44  																																								|
% 44.50/14.44  																																								|-The branch is then unsatisfiable
% 44.50/14.44  																																							|-Branch two:
% 44.50/14.44  																																							| (680)  ~ (all_0_95_95 = e1)
% 44.50/14.44  																																							| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.50/14.44  																																							|
% 44.50/14.44  																																								| Equations (767) can reduce 680 to:
% 44.50/14.44  																																								| (243)  ~ (e2 = e1)
% 44.50/14.44  																																								|
% 44.50/14.44  																																								+-Applying beta-rule and splitting (108), into two cases.
% 44.50/14.44  																																								|-Branch one:
% 44.50/14.44  																																								| (477) all_0_81_81 = e1
% 44.50/14.44  																																								|
% 44.50/14.44  																																									| Combining equations (638,477) yields a new equation:
% 44.50/14.44  																																									| (813) e4 = e1
% 44.50/14.44  																																									|
% 44.50/14.44  																																									| Simplifying 813 yields:
% 44.50/14.44  																																									| (814) e4 = e1
% 44.50/14.44  																																									|
% 44.50/14.44  																																									| Equations (814) can reduce 256 to:
% 44.50/14.44  																																									| (311) $false
% 44.50/14.44  																																									|
% 44.50/14.44  																																									|-The branch is then unsatisfiable
% 44.50/14.44  																																								|-Branch two:
% 44.50/14.44  																																								| (628)  ~ (all_0_81_81 = e1)
% 44.50/14.44  																																								| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.50/14.44  																																								|
% 44.50/14.44  																																									| Equations (638) can reduce 628 to:
% 44.50/14.44  																																									| (256)  ~ (e4 = e1)
% 44.50/14.44  																																									|
% 44.50/14.44  																																									+-Applying beta-rule and splitting (84), into two cases.
% 44.50/14.44  																																									|-Branch one:
% 44.50/14.44  																																									| (1704) all_0_96_96 = e2
% 44.50/14.44  																																									|
% 44.50/14.44  																																										| Equations (1704) can reduce 1638 to:
% 44.50/14.44  																																										| (311) $false
% 44.50/14.44  																																										|
% 44.50/14.44  																																										|-The branch is then unsatisfiable
% 44.50/14.44  																																									|-Branch two:
% 44.50/14.44  																																									| (1638)  ~ (all_0_96_96 = e2)
% 44.50/14.44  																																									| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 44.50/14.44  																																									|
% 44.50/14.44  																																										+-Applying beta-rule and splitting (285), into two cases.
% 44.50/14.44  																																										|-Branch one:
% 44.50/14.44  																																										| (1708) all_0_79_79 = e3
% 44.50/14.44  																																										|
% 44.50/14.44  																																											| Combining equations (1708,457) yields a new equation:
% 44.50/14.44  																																											| (825) e3 = e1
% 44.50/14.44  																																											|
% 44.50/14.44  																																											| Simplifying 825 yields:
% 44.50/14.44  																																											| (772) e3 = e1
% 44.50/14.44  																																											|
% 44.50/14.44  																																											| Equations (772) can reduce 20 to:
% 44.50/14.44  																																											| (311) $false
% 44.50/14.44  																																											|
% 44.50/14.44  																																											|-The branch is then unsatisfiable
% 44.50/14.44  																																										|-Branch two:
% 44.50/14.44  																																										| (1711)  ~ (all_0_79_79 = e3)
% 44.50/14.44  																																										| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.50/14.44  																																										|
% 44.50/14.44  																																											| Equations (457) can reduce 1711 to:
% 44.50/14.44  																																											| (683)  ~ (e3 = e1)
% 44.50/14.44  																																											|
% 44.50/14.44  																																											| Simplifying 683 yields:
% 44.50/14.44  																																											| (20)  ~ (e3 = e1)
% 44.50/14.44  																																											|
% 44.50/14.44  																																											+-Applying beta-rule and splitting (102), into two cases.
% 44.50/14.44  																																											|-Branch one:
% 44.50/14.44  																																											| (858) all_0_95_95 = e0
% 44.50/14.44  																																											|
% 44.50/14.44  																																												| Combining equations (767,858) yields a new equation:
% 44.50/14.44  																																												| (923) e2 = e0
% 44.50/14.44  																																												|
% 44.50/14.44  																																												| Simplifying 923 yields:
% 44.50/14.44  																																												| (379) e2 = e0
% 44.50/14.44  																																												|
% 44.50/14.44  																																												| Equations (379) can reduce 76 to:
% 44.50/14.44  																																												| (311) $false
% 44.50/14.44  																																												|
% 44.50/14.44  																																												|-The branch is then unsatisfiable
% 44.50/14.44  																																											|-Branch two:
% 44.50/14.44  																																											| (893)  ~ (all_0_95_95 = e0)
% 44.50/14.44  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.50/14.44  																																											|
% 44.50/14.44  																																												+-Applying beta-rule and splitting (151), into two cases.
% 44.50/14.44  																																												|-Branch one:
% 44.50/14.44  																																												| (824) all_0_80_80 = e1
% 44.50/14.44  																																												|
% 44.50/14.44  																																													| Combining equations (824,546) yields a new equation:
% 44.50/14.44  																																													| (385) e2 = e1
% 44.50/14.44  																																													|
% 44.50/14.44  																																													| Equations (385) can reduce 243 to:
% 44.50/14.44  																																													| (311) $false
% 44.50/14.44  																																													|
% 44.50/14.44  																																													|-The branch is then unsatisfiable
% 44.50/14.44  																																												|-Branch two:
% 44.50/14.44  																																												| (828)  ~ (all_0_80_80 = e1)
% 44.50/14.44  																																												| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.50/14.44  																																												|
% 44.50/14.44  																																													+-Applying beta-rule and splitting (132), into two cases.
% 44.50/14.44  																																													|-Branch one:
% 44.50/14.44  																																													| (750) all_0_90_90 = e1
% 44.50/14.44  																																													|
% 44.50/14.44  																																														| Combining equations (583,750) yields a new equation:
% 44.50/14.44  																																														| (813) e4 = e1
% 44.50/14.44  																																														|
% 44.50/14.44  																																														| Simplifying 813 yields:
% 44.50/14.44  																																														| (814) e4 = e1
% 44.50/14.44  																																														|
% 44.50/14.44  																																														| Equations (814) can reduce 256 to:
% 44.50/14.44  																																														| (311) $false
% 44.50/14.44  																																														|
% 44.50/14.44  																																														|-The branch is then unsatisfiable
% 44.50/14.44  																																													|-Branch two:
% 44.50/14.44  																																													| (678)  ~ (all_0_90_90 = e1)
% 44.50/14.44  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.50/14.44  																																													|
% 44.50/14.44  																																														+-Applying beta-rule and splitting (282), into two cases.
% 44.50/14.44  																																														|-Branch one:
% 44.50/14.44  																																														| (754) all_0_90_90 = e3
% 44.50/14.44  																																														|
% 44.50/14.44  																																															| Combining equations (583,754) yields a new equation:
% 44.50/14.44  																																															| (790) e4 = e3
% 44.50/14.44  																																															|
% 44.50/14.44  																																															| Simplifying 790 yields:
% 44.50/14.44  																																															| (434) e4 = e3
% 44.50/14.44  																																															|
% 44.50/14.44  																																															| Equations (434) can reduce 177 to:
% 44.50/14.44  																																															| (311) $false
% 44.50/14.44  																																															|
% 44.50/14.44  																																															|-The branch is then unsatisfiable
% 44.50/14.44  																																														|-Branch two:
% 44.50/14.44  																																														| (745)  ~ (all_0_90_90 = e3)
% 44.50/14.44  																																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 44.50/14.44  																																														|
% 44.50/14.44  																																															+-Applying beta-rule and splitting (270), into two cases.
% 44.50/14.44  																																															|-Branch one:
% 44.50/14.44  																																															| (744) all_0_95_95 = e3
% 44.50/14.44  																																															|
% 44.50/14.44  																																																| Combining equations (744,767) yields a new equation:
% 44.50/14.44  																																																| (547) e3 = e2
% 44.50/14.44  																																																|
% 44.50/14.44  																																																| Simplifying 547 yields:
% 44.50/14.44  																																																| (548) e3 = e2
% 44.50/14.44  																																																|
% 44.50/14.44  																																																| Equations (548) can reduce 169 to:
% 44.50/14.44  																																																| (311) $false
% 44.50/14.44  																																																|
% 44.50/14.44  																																																|-The branch is then unsatisfiable
% 44.50/14.44  																																															|-Branch two:
% 44.50/14.44  																																															| (765)  ~ (all_0_95_95 = e3)
% 44.50/14.44  																																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.50/14.44  																																															|
% 44.50/14.44  																																																| Equations (767) can reduce 765 to:
% 44.50/14.44  																																																| (356)  ~ (e3 = e2)
% 44.50/14.44  																																																|
% 44.50/14.44  																																																| Simplifying 356 yields:
% 44.50/14.44  																																																| (169)  ~ (e3 = e2)
% 44.50/14.44  																																																|
% 44.50/14.44  																																																+-Applying beta-rule and splitting (207), into two cases.
% 44.50/14.44  																																																|-Branch one:
% 44.50/14.44  																																																| (416) all_0_80_80 = e3
% 44.50/14.44  																																																|
% 44.50/14.44  																																																	| Combining equations (416,546) yields a new equation:
% 44.50/14.44  																																																	| (547) e3 = e2
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	| Simplifying 547 yields:
% 44.50/14.44  																																																	| (548) e3 = e2
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	| Equations (548) can reduce 169 to:
% 44.50/14.44  																																																	| (311) $false
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	|-The branch is then unsatisfiable
% 44.50/14.44  																																																|-Branch two:
% 44.50/14.44  																																																| (2347)  ~ (all_0_80_80 = e3)
% 44.50/14.44  																																																| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.50/14.44  																																																|
% 44.50/14.44  																																																	| Equations (546) can reduce 2347 to:
% 44.50/14.44  																																																	| (356)  ~ (e3 = e2)
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	| Simplifying 356 yields:
% 44.50/14.44  																																																	| (169)  ~ (e3 = e2)
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																	+-Applying beta-rule and splitting (65), into two cases.
% 44.50/14.44  																																																	|-Branch one:
% 44.50/14.44  																																																	| (522) all_0_93_93 = e2
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																		| Equations (522) can reduce 300 to:
% 44.50/14.44  																																																		| (311) $false
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																		|-The branch is then unsatisfiable
% 44.50/14.44  																																																	|-Branch two:
% 44.50/14.44  																																																	| (300)  ~ (all_0_93_93 = e2)
% 44.50/14.44  																																																	| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.50/14.44  																																																	|
% 44.50/14.44  																																																		+-Applying beta-rule and splitting (112), into two cases.
% 44.50/14.44  																																																		|-Branch one:
% 44.50/14.44  																																																		| (538) all_0_97_97 = e2
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																			| Equations (538) can reduce 527 to:
% 44.50/14.44  																																																			| (311) $false
% 44.50/14.44  																																																			|
% 44.50/14.44  																																																			|-The branch is then unsatisfiable
% 44.50/14.44  																																																		|-Branch two:
% 44.50/14.44  																																																		| (527)  ~ (all_0_97_97 = e2)
% 44.50/14.44  																																																		| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.50/14.44  																																																		|
% 44.50/14.44  																																																			+-Applying beta-rule and splitting (1400), into two cases.
% 44.50/14.44  																																																			|-Branch one:
% 44.50/14.45  																																																			| (1456) all_0_91_91 = e0
% 44.50/14.45  																																																			|
% 44.50/14.45  																																																				| Equations (1456) can reduce 64 to:
% 44.50/14.45  																																																				| (2296)  ~ (all_0_96_96 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				| Simplifying 2296 yields:
% 44.50/14.45  																																																				| (2095)  ~ (all_0_96_96 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				| Equations (1456) can reduce 959 to:
% 44.50/14.45  																																																				| (859)  ~ (e1 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				| Simplifying 859 yields:
% 44.50/14.45  																																																				| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				+-Applying beta-rule and splitting (565), into two cases.
% 44.50/14.45  																																																				|-Branch one:
% 44.50/14.45  																																																				| (566) all_0_93_93 = e1
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																					| Equations (566) can reduce 13 to:
% 44.50/14.45  																																																					| (1803)  ~ (all_0_98_98 = e1)
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																					| Simplifying 1803 yields:
% 44.50/14.45  																																																					| (1804)  ~ (all_0_98_98 = e1)
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																					+-Applying beta-rule and splitting (788), into two cases.
% 44.50/14.45  																																																					|-Branch one:
% 44.50/14.45  																																																					| (960) all_0_96_96 = e1
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																						| Equations (960) can reduce 1479 to:
% 44.50/14.45  																																																						| (311) $false
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																						|-The branch is then unsatisfiable
% 44.50/14.45  																																																					|-Branch two:
% 44.50/14.45  																																																					| (1479)  ~ (all_0_96_96 = e1)
% 44.50/14.45  																																																					| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																						+-Applying beta-rule and splitting (1712), into two cases.
% 44.50/14.45  																																																						|-Branch one:
% 44.50/14.45  																																																						| (795) all_0_83_83 = e3
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							| Combining equations (795,453) yields a new equation:
% 44.50/14.45  																																																							| (547) e3 = e2
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Simplifying 547 yields:
% 44.50/14.45  																																																							| (548) e3 = e2
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Equations (548) can reduce 169 to:
% 44.50/14.45  																																																							| (311) $false
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							|-The branch is then unsatisfiable
% 44.50/14.45  																																																						|-Branch two:
% 44.50/14.45  																																																						| (779)  ~ (all_0_83_83 = e3)
% 44.50/14.45  																																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							+-Applying beta-rule and splitting (1921), into two cases.
% 44.50/14.45  																																																							|-Branch one:
% 44.50/14.45  																																																							| (1837) all_0_96_96 = e0
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								| Equations (1837) can reduce 2095 to:
% 44.50/14.45  																																																								| (311) $false
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								|-The branch is then unsatisfiable
% 44.50/14.45  																																																							|-Branch two:
% 44.50/14.45  																																																							| (2095)  ~ (all_0_96_96 = e0)
% 44.50/14.45  																																																							| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								+-Applying beta-rule and splitting (1842), into two cases.
% 44.50/14.45  																																																								|-Branch one:
% 44.50/14.45  																																																								| (588) all_0_91_91 = e3
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Combining equations (1456,588) yields a new equation:
% 44.50/14.45  																																																									| (600) e3 = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									| Equations (600) can reduce 50 to:
% 44.50/14.45  																																																									| (311) $false
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									|-The branch is then unsatisfiable
% 44.50/14.45  																																																								|-Branch two:
% 44.50/14.45  																																																								| (571)  ~ (all_0_91_91 = e3)
% 44.50/14.45  																																																								| (778) all_0_96_96 = e3
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| From (778) and (4960) follows:
% 44.50/14.45  																																																									| (5343) op(e2, e3) = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									+-Applying beta-rule and splitting (2096), into two cases.
% 44.50/14.45  																																																									|-Branch one:
% 44.50/14.45  																																																									| (560) all_0_97_97 = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										| Equations (560) can reduce 609 to:
% 44.50/14.45  																																																										| (311) $false
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										|-The branch is then unsatisfiable
% 44.50/14.45  																																																									|-Branch two:
% 44.50/14.45  																																																									| (609)  ~ (all_0_97_97 = e0)
% 44.50/14.45  																																																									| (1121) all_0_98_98 = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										| Equations (1121) can reduce 148 to:
% 44.50/14.45  																																																										| (609)  ~ (all_0_97_97 = e0)
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										| Equations (1121) can reduce 1804 to:
% 44.50/14.45  																																																										| (859)  ~ (e1 = e0)
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										| Simplifying 859 yields:
% 44.50/14.45  																																																										| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										+-Applying beta-rule and splitting (829), into two cases.
% 44.50/14.45  																																																										|-Branch one:
% 44.50/14.45  																																																										| (482) all_0_87_87 = e1
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Combining equations (861,482) yields a new equation:
% 44.50/14.45  																																																											| (865) e1 = e0
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																											| (311) $false
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											|-The branch is then unsatisfiable
% 44.50/14.45  																																																										|-Branch two:
% 44.50/14.45  																																																										| (625)  ~ (all_0_87_87 = e1)
% 44.50/14.45  																																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Equations (861) can reduce 625 to:
% 44.50/14.45  																																																											| (859)  ~ (e1 = e0)
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Simplifying 859 yields:
% 44.50/14.45  																																																											| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											+-Applying beta-rule and splitting (2126), into two cases.
% 44.50/14.45  																																																											|-Branch one:
% 44.50/14.45  																																																											| (542) all_0_97_97 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Equations (542) can reduce 609 to:
% 44.50/14.45  																																																												| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 44.50/14.45  																																																												| (865) e1 = e0
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																												| (311) $false
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												|-The branch is then unsatisfiable
% 44.50/14.45  																																																											|-Branch two:
% 44.50/14.45  																																																											| (486)  ~ (all_0_97_97 = e1)
% 44.50/14.45  																																																											| (1543) all_0_98_98 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Combining equations (1543,1121) yields a new equation:
% 44.50/14.45  																																																												| (1107) e1 = e0
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Simplifying 1107 yields:
% 44.50/14.45  																																																												| (865) e1 = e0
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																												| (311) $false
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												|-The branch is then unsatisfiable
% 44.50/14.45  																																																				|-Branch two:
% 44.50/14.45  																																																				| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.45  																																																				| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																					+-Applying beta-rule and splitting (1707), into two cases.
% 44.50/14.45  																																																					|-Branch one:
% 44.50/14.45  																																																					| (960) all_0_96_96 = e1
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																						| Equations (960) can reduce 1479 to:
% 44.50/14.45  																																																						| (311) $false
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																						|-The branch is then unsatisfiable
% 44.50/14.45  																																																					|-Branch two:
% 44.50/14.45  																																																					| (1479)  ~ (all_0_96_96 = e1)
% 44.50/14.45  																																																					| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																						+-Applying beta-rule and splitting (2016), into two cases.
% 44.50/14.45  																																																						|-Branch one:
% 44.50/14.45  																																																						| (778) all_0_96_96 = e3
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							| Equations (778) can reduce 22 to:
% 44.50/14.45  																																																							| (427)  ~ (all_0_97_97 = e3)
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Simplifying 427 yields:
% 44.50/14.45  																																																							| (428)  ~ (all_0_97_97 = e3)
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Equations (778) can reduce 115 to:
% 44.50/14.45  																																																							| (783)  ~ (e4 = e3)
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Simplifying 783 yields:
% 44.50/14.45  																																																							| (177)  ~ (e4 = e3)
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Equations (778) can reduce 1479 to:
% 44.50/14.45  																																																							| (20)  ~ (e3 = e1)
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							+-Applying beta-rule and splitting (2481), into two cases.
% 44.50/14.45  																																																							|-Branch one:
% 44.50/14.45  																																																							| (1265) all_0_84_84 = e3
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								| Combining equations (1265,438) yields a new equation:
% 44.50/14.45  																																																								| (434) e4 = e3
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								| Equations (434) can reduce 177 to:
% 44.50/14.45  																																																								| (311) $false
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								|-The branch is then unsatisfiable
% 44.50/14.45  																																																							|-Branch two:
% 44.50/14.45  																																																							| (422)  ~ (all_0_84_84 = e3)
% 44.50/14.45  																																																							| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								+-Applying beta-rule and splitting (3765), into two cases.
% 44.50/14.45  																																																								|-Branch one:
% 44.50/14.45  																																																								| (882) all_0_92_92 = e3
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Equations (882) can reduce 258 to:
% 44.50/14.45  																																																									| (427)  ~ (all_0_97_97 = e3)
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									| Simplifying 427 yields:
% 44.50/14.45  																																																									| (428)  ~ (all_0_97_97 = e3)
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									+-Applying beta-rule and splitting (829), into two cases.
% 44.50/14.45  																																																									|-Branch one:
% 44.50/14.45  																																																									| (482) all_0_87_87 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										| Combining equations (861,482) yields a new equation:
% 44.50/14.45  																																																										| (865) e1 = e0
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																										| (311) $false
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										|-The branch is then unsatisfiable
% 44.50/14.45  																																																									|-Branch two:
% 44.50/14.45  																																																									| (625)  ~ (all_0_87_87 = e1)
% 44.50/14.45  																																																									| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										+-Applying beta-rule and splitting (835), into two cases.
% 44.50/14.45  																																																										|-Branch one:
% 44.50/14.45  																																																										| (836) all_0_92_92 = e1
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Combining equations (882,836) yields a new equation:
% 44.50/14.45  																																																											| (825) e3 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Simplifying 825 yields:
% 44.50/14.45  																																																											| (772) e3 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Equations (772) can reduce 20 to:
% 44.50/14.45  																																																											| (311) $false
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											|-The branch is then unsatisfiable
% 44.50/14.45  																																																										|-Branch two:
% 44.50/14.45  																																																										| (840)  ~ (all_0_92_92 = e1)
% 44.50/14.45  																																																										| (542) all_0_97_97 = e1
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Equations (542) can reduce 428 to:
% 44.50/14.45  																																																											| (683)  ~ (e3 = e1)
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Simplifying 683 yields:
% 44.50/14.45  																																																											| (20)  ~ (e3 = e1)
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											| Equations (542) can reduce 609 to:
% 44.50/14.45  																																																											| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											+-Applying beta-rule and splitting (1526), into two cases.
% 44.50/14.45  																																																											|-Branch one:
% 44.50/14.45  																																																											| (801) all_0_91_91 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Combining equations (1456,801) yields a new equation:
% 44.50/14.45  																																																												| (865) e1 = e0
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																												| (311) $false
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												|-The branch is then unsatisfiable
% 44.50/14.45  																																																											|-Branch two:
% 44.50/14.45  																																																											| (959)  ~ (all_0_91_91 = e1)
% 44.50/14.45  																																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												+-Applying beta-rule and splitting (1556), into two cases.
% 44.50/14.45  																																																												|-Branch one:
% 44.50/14.45  																																																												| (836) all_0_92_92 = e1
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																													| Combining equations (882,836) yields a new equation:
% 44.50/14.45  																																																													| (825) e3 = e1
% 44.50/14.45  																																																													|
% 44.50/14.45  																																																													| Simplifying 825 yields:
% 44.50/14.45  																																																													| (772) e3 = e1
% 44.50/14.45  																																																													|
% 44.50/14.45  																																																													| Equations (772) can reduce 20 to:
% 44.50/14.45  																																																													| (311) $false
% 44.50/14.45  																																																													|
% 44.50/14.45  																																																													|-The branch is then unsatisfiable
% 44.50/14.45  																																																												|-Branch two:
% 44.50/14.45  																																																												| (840)  ~ (all_0_92_92 = e1)
% 44.50/14.45  																																																												| (566) all_0_93_93 = e1
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																													| Equations (566) can reduce 481 to:
% 44.50/14.45  																																																													| (311) $false
% 44.50/14.45  																																																													|
% 44.50/14.45  																																																													|-The branch is then unsatisfiable
% 44.50/14.45  																																																								|-Branch two:
% 44.50/14.45  																																																								| (426)  ~ (all_0_92_92 = e3)
% 44.50/14.45  																																																								| (556) all_0_97_97 = e3
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Equations (556) can reduce 428 to:
% 44.50/14.45  																																																									| (311) $false
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									|-The branch is then unsatisfiable
% 44.50/14.45  																																																						|-Branch two:
% 44.50/14.45  																																																						| (964)  ~ (all_0_96_96 = e3)
% 44.50/14.45  																																																						| (1837) all_0_96_96 = e0
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							| Equations (1837) can reduce 2095 to:
% 44.50/14.45  																																																							| (311) $false
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							|-The branch is then unsatisfiable
% 44.50/14.45  																																																			|-Branch two:
% 44.50/14.45  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.45  																																																			| (1837) all_0_96_96 = e0
% 44.50/14.45  																																																			|
% 44.50/14.45  																																																				| Equations (1837) can reduce 1479 to:
% 44.50/14.45  																																																				| (859)  ~ (e1 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				| Simplifying 859 yields:
% 44.50/14.45  																																																				| (264)  ~ (e1 = e0)
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				| From (1837) and (4960) follows:
% 44.50/14.45  																																																				| (2170) op(e2, e0) = e0
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																				+-Applying beta-rule and splitting (766), into two cases.
% 44.50/14.45  																																																				|-Branch one:
% 44.50/14.45  																																																				| (778) all_0_96_96 = e3
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																					| Combining equations (778,1837) yields a new equation:
% 44.50/14.45  																																																					| (599) e3 = e0
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																					| Simplifying 599 yields:
% 44.50/14.45  																																																					| (600) e3 = e0
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																					| Equations (600) can reduce 50 to:
% 44.50/14.45  																																																					| (311) $false
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																					|-The branch is then unsatisfiable
% 44.50/14.45  																																																				|-Branch two:
% 44.50/14.45  																																																				| (964)  ~ (all_0_96_96 = e3)
% 44.50/14.45  																																																				| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.50/14.45  																																																				|
% 44.50/14.45  																																																					+-Applying beta-rule and splitting (965), into two cases.
% 44.50/14.45  																																																					|-Branch one:
% 44.50/14.45  																																																					| (556) all_0_97_97 = e3
% 44.50/14.45  																																																					|
% 44.50/14.45  																																																						| Equations (556) can reduce 527 to:
% 44.50/14.45  																																																						| (169)  ~ (e3 = e2)
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																						+-Applying beta-rule and splitting (788), into two cases.
% 44.50/14.45  																																																						|-Branch one:
% 44.50/14.45  																																																						| (960) all_0_96_96 = e1
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							| Combining equations (1837,960) yields a new equation:
% 44.50/14.45  																																																							| (865) e1 = e0
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							| Equations (865) can reduce 264 to:
% 44.50/14.45  																																																							| (311) $false
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																							|-The branch is then unsatisfiable
% 44.50/14.45  																																																						|-Branch two:
% 44.50/14.45  																																																						| (1479)  ~ (all_0_96_96 = e1)
% 44.50/14.45  																																																						| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.50/14.45  																																																						|
% 44.50/14.45  																																																							+-Applying beta-rule and splitting (849), into two cases.
% 44.50/14.45  																																																							|-Branch one:
% 44.50/14.45  																																																							| (588) all_0_91_91 = e3
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								| Equations (588) can reduce 44 to:
% 44.50/14.45  																																																								| (807)  ~ (all_0_93_93 = e3)
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								| Simplifying 807 yields:
% 44.50/14.45  																																																								| (602)  ~ (all_0_93_93 = e3)
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								| Equations (588) can reduce 959 to:
% 44.50/14.45  																																																								| (20)  ~ (e3 = e1)
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																								+-Applying beta-rule and splitting (2126), into two cases.
% 44.50/14.45  																																																								|-Branch one:
% 44.50/14.45  																																																								| (542) all_0_97_97 = e1
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Combining equations (556,542) yields a new equation:
% 44.50/14.45  																																																									| (825) e3 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									| Simplifying 825 yields:
% 44.50/14.45  																																																									| (772) e3 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									| Equations (772) can reduce 20 to:
% 44.50/14.45  																																																									| (311) $false
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									|-The branch is then unsatisfiable
% 44.50/14.45  																																																								|-Branch two:
% 44.50/14.45  																																																								| (486)  ~ (all_0_97_97 = e1)
% 44.50/14.45  																																																								| (1543) all_0_98_98 = e1
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Equations (1543) can reduce 13 to:
% 44.50/14.45  																																																									| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									+-Applying beta-rule and splitting (565), into two cases.
% 44.50/14.45  																																																									|-Branch one:
% 44.50/14.45  																																																									| (566) all_0_93_93 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										| Equations (566) can reduce 481 to:
% 44.50/14.45  																																																										| (311) $false
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										|-The branch is then unsatisfiable
% 44.50/14.45  																																																									|-Branch two:
% 44.50/14.45  																																																									| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.45  																																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										+-Applying beta-rule and splitting (569), into two cases.
% 44.50/14.45  																																																										|-Branch one:
% 44.50/14.45  																																																										| (570) all_0_93_93 = e3
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Equations (570) can reduce 602 to:
% 44.50/14.45  																																																											| (311) $false
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											|-The branch is then unsatisfiable
% 44.50/14.45  																																																										|-Branch two:
% 44.50/14.45  																																																										| (602)  ~ (all_0_93_93 = e3)
% 44.50/14.45  																																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											+-Applying beta-rule and splitting (603), into two cases.
% 44.50/14.45  																																																											|-Branch one:
% 44.50/14.45  																																																											| (604) all_0_93_93 = e0
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Equations (604) can reduce 300 to:
% 44.50/14.45  																																																												| (510)  ~ (e2 = e0)
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Simplifying 510 yields:
% 44.50/14.45  																																																												| (76)  ~ (e2 = e0)
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 44.50/14.45  																																																												| (379) e2 = e0
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												| Equations (379) can reduce 76 to:
% 44.50/14.45  																																																												| (311) $false
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												|-The branch is then unsatisfiable
% 44.50/14.45  																																																											|-Branch two:
% 44.50/14.45  																																																											| (509)  ~ (all_0_93_93 = e0)
% 44.50/14.45  																																																											| (607) all_0_93_93 = e4
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Equations (607) can reduce 496 to:
% 44.50/14.45  																																																												| (311) $false
% 44.50/14.45  																																																												|
% 44.50/14.45  																																																												|-The branch is then unsatisfiable
% 44.50/14.45  																																																							|-Branch two:
% 44.50/14.45  																																																							| (571)  ~ (all_0_91_91 = e3)
% 44.50/14.45  																																																							| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 44.50/14.45  																																																							|
% 44.50/14.45  																																																								+-Applying beta-rule and splitting (2126), into two cases.
% 44.50/14.45  																																																								|-Branch one:
% 44.50/14.45  																																																								| (542) all_0_97_97 = e1
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Combining equations (542,556) yields a new equation:
% 44.50/14.45  																																																									| (772) e3 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									| Equations (772) can reduce 20 to:
% 44.50/14.45  																																																									| (311) $false
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									|-The branch is then unsatisfiable
% 44.50/14.45  																																																								|-Branch two:
% 44.50/14.45  																																																								| (486)  ~ (all_0_97_97 = e1)
% 44.50/14.45  																																																								| (1543) all_0_98_98 = e1
% 44.50/14.45  																																																								|
% 44.50/14.45  																																																									| Equations (1543) can reduce 13 to:
% 44.50/14.45  																																																									| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																									+-Applying beta-rule and splitting (565), into two cases.
% 44.50/14.45  																																																									|-Branch one:
% 44.50/14.45  																																																									| (566) all_0_93_93 = e1
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										| Equations (566) can reduce 481 to:
% 44.50/14.45  																																																										| (311) $false
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																										|-The branch is then unsatisfiable
% 44.50/14.45  																																																									|-Branch two:
% 44.50/14.45  																																																									| (481)  ~ (all_0_93_93 = e1)
% 44.50/14.45  																																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.50/14.45  																																																									|
% 44.50/14.45  																																																										+-Applying beta-rule and splitting (569), into two cases.
% 44.50/14.45  																																																										|-Branch one:
% 44.50/14.45  																																																										| (570) all_0_93_93 = e3
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											| Equations (570) can reduce 602 to:
% 44.50/14.45  																																																											| (311) $false
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																											|-The branch is then unsatisfiable
% 44.50/14.45  																																																										|-Branch two:
% 44.50/14.45  																																																										| (602)  ~ (all_0_93_93 = e3)
% 44.50/14.45  																																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 44.50/14.45  																																																										|
% 44.50/14.45  																																																											+-Applying beta-rule and splitting (603), into two cases.
% 44.50/14.45  																																																											|-Branch one:
% 44.50/14.45  																																																											| (604) all_0_93_93 = e0
% 44.50/14.45  																																																											|
% 44.50/14.45  																																																												| Equations (604) can reduce 602 to:
% 44.50/14.45  																																																												| (906)  ~ (e3 = e0)
% 44.50/14.45  																																																												|
% 44.50/14.46  																																																												| Simplifying 906 yields:
% 44.50/14.46  																																																												| (50)  ~ (e3 = e0)
% 44.50/14.46  																																																												|
% 44.50/14.46  																																																												+-Applying beta-rule and splitting (1712), into two cases.
% 44.50/14.46  																																																												|-Branch one:
% 44.50/14.46  																																																												| (795) all_0_83_83 = e3
% 44.50/14.46  																																																												|
% 44.50/14.46  																																																													| Combining equations (795,453) yields a new equation:
% 44.50/14.46  																																																													| (547) e3 = e2
% 44.50/14.46  																																																													|
% 44.50/14.46  																																																													| Simplifying 547 yields:
% 44.50/14.46  																																																													| (548) e3 = e2
% 44.50/14.46  																																																													|
% 44.50/14.46  																																																													| Equations (548) can reduce 169 to:
% 44.50/14.46  																																																													| (311) $false
% 44.50/14.46  																																																													|
% 44.50/14.46  																																																													|-The branch is then unsatisfiable
% 44.50/14.46  																																																												|-Branch two:
% 44.50/14.46  																																																												| (779)  ~ (all_0_83_83 = e3)
% 44.50/14.46  																																																												| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.50/14.46  																																																												|
% 44.50/14.46  																																																													+-Applying beta-rule and splitting (1842), into two cases.
% 44.50/14.46  																																																													|-Branch one:
% 44.50/14.46  																																																													| (588) all_0_91_91 = e3
% 44.50/14.46  																																																													|
% 44.50/14.46  																																																														| Equations (588) can reduce 571 to:
% 44.50/14.46  																																																														| (311) $false
% 44.50/14.46  																																																														|
% 44.50/14.46  																																																														|-The branch is then unsatisfiable
% 44.50/14.46  																																																													|-Branch two:
% 44.50/14.46  																																																													| (571)  ~ (all_0_91_91 = e3)
% 44.50/14.46  																																																													| (778) all_0_96_96 = e3
% 44.50/14.46  																																																													|
% 44.50/14.46  																																																														| Combining equations (1837,778) yields a new equation:
% 44.50/14.46  																																																														| (600) e3 = e0
% 44.50/14.46  																																																														|
% 44.50/14.46  																																																														| Equations (600) can reduce 50 to:
% 44.50/14.46  																																																														| (311) $false
% 44.50/14.46  																																																														|
% 44.50/14.46  																																																														|-The branch is then unsatisfiable
% 44.50/14.46  																																																											|-Branch two:
% 44.50/14.46  																																																											| (509)  ~ (all_0_93_93 = e0)
% 44.50/14.46  																																																											| (607) all_0_93_93 = e4
% 44.50/14.46  																																																											|
% 44.50/14.46  																																																												| Equations (607) can reduce 496 to:
% 44.50/14.46  																																																												| (311) $false
% 44.50/14.46  																																																												|
% 44.50/14.46  																																																												|-The branch is then unsatisfiable
% 44.50/14.46  																																																					|-Branch two:
% 44.50/14.46  																																																					| (428)  ~ (all_0_97_97 = e3)
% 44.50/14.46  																																																					| (969) all_0_98_98 = e3
% 44.50/14.46  																																																					|
% 44.50/14.46  																																																						| Equations (969) can reduce 1519 to:
% 44.50/14.46  																																																						| (311) $false
% 44.50/14.46  																																																						|
% 44.50/14.46  																																																						|-The branch is then unsatisfiable
% 44.50/14.46  																																				|-Branch two:
% 44.50/14.46  																																				| (467)  ~ (all_0_90_90 = e4)
% 44.50/14.46  																																				| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.50/14.46  																																				|
% 44.50/14.46  																																					+-Applying beta-rule and splitting (1928), into two cases.
% 44.50/14.46  																																					|-Branch one:
% 44.50/14.46  																																					| (442) all_0_92_92 = e4
% 44.50/14.46  																																					|
% 44.50/14.46  																																						| Equations (442) can reduce 1619 to:
% 44.50/14.46  																																						| (311) $false
% 44.50/14.46  																																						|
% 44.50/14.46  																																						|-The branch is then unsatisfiable
% 44.50/14.46  																																					|-Branch two:
% 44.50/14.46  																																					| (1619)  ~ (all_0_92_92 = e4)
% 44.50/14.46  																																					| (607) all_0_93_93 = e4
% 44.50/14.46  																																					|
% 44.50/14.46  																																						| Equations (607) can reduce 496 to:
% 44.50/14.46  																																						| (311) $false
% 44.50/14.46  																																						|
% 44.50/14.46  																																						|-The branch is then unsatisfiable
% 44.50/14.46  																																	|-Branch two:
% 44.50/14.46  																																	| (914)  ~ (all_0_82_82 = e0)
% 44.50/14.46  																																	| (469) all_0_82_82 = e4
% 44.50/14.46  																																	|
% 44.50/14.46  																																		| Equations (469) can reduce 465 to:
% 44.50/14.46  																																		| (311) $false
% 44.50/14.46  																																		|
% 44.50/14.46  																																		|-The branch is then unsatisfiable
% 44.50/14.46  																													|-Branch two:
% 44.50/14.46  																													| (417)  ~ (all_0_84_84 = e4)
% 44.50/14.46  																													| (493) all_0_85_85 = e4
% 44.50/14.46  																													|
% 44.50/14.46  																														| Equations (493) can reduce 648 to:
% 44.50/14.46  																														| (311) $false
% 44.50/14.46  																														|
% 44.50/14.46  																														|-The branch is then unsatisfiable
% 44.50/14.46  																										|-Branch two:
% 44.50/14.46  																										| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 44.50/14.46  																										|
% 44.50/14.46  																											| Applying alpha-rule on (973) yields:
% 44.50/14.46  																											| (974) all_0_50_50 = e0
% 44.50/14.46  																											| (975)  ~ (all_0_51_51 = e3)
% 44.50/14.46  																											|
% 44.50/14.46  																											| Combining equations (974,13437) yields a new equation:
% 44.50/14.46  																											| (379) e2 = e0
% 44.50/14.46  																											|
% 44.50/14.46  																											| Equations (379) can reduce 76 to:
% 44.50/14.46  																											| (311) $false
% 44.50/14.46  																											|
% 44.50/14.46  																											|-The branch is then unsatisfiable
% 44.50/14.46  																									|-Branch two:
% 44.50/14.46  																									| (418)  ~ (all_0_78_78 = e3)
% 44.50/14.46  																									| (463) all_0_78_78 = e4
% 44.50/14.46  																									|
% 44.50/14.46  																										| Equations (463) can reduce 640 to:
% 44.50/14.46  																										| (311) $false
% 44.50/14.46  																										|
% 44.50/14.46  																										|-The branch is then unsatisfiable
% 44.50/14.46  																			|-Branch two:
% 44.50/14.46  																			| (355)  ~ (all_0_95_95 = e2)
% 44.50/14.46  																			| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.50/14.46  																			|
% 44.50/14.46  																				+-Applying beta-rule and splitting (1772), into two cases.
% 44.50/14.46  																				|-Branch one:
% 44.50/14.46  																				| (1704) all_0_96_96 = e2
% 44.50/14.46  																				|
% 44.50/14.46  																					| Equations (1704) can reduce 1638 to:
% 44.50/14.46  																					| (311) $false
% 44.50/14.46  																					|
% 44.50/14.46  																					|-The branch is then unsatisfiable
% 44.50/14.46  																				|-Branch two:
% 44.50/14.46  																				| (1638)  ~ (all_0_96_96 = e2)
% 44.50/14.46  																				| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 44.50/14.46  																				|
% 44.50/14.46  																					+-Applying beta-rule and splitting (1783), into two cases.
% 44.50/14.46  																					|-Branch one:
% 44.50/14.46  																					| (538) all_0_97_97 = e2
% 44.50/14.46  																					|
% 44.50/14.46  																						| Equations (538) can reduce 527 to:
% 44.50/14.46  																						| (311) $false
% 44.50/14.46  																						|
% 44.50/14.46  																						|-The branch is then unsatisfiable
% 44.50/14.46  																					|-Branch two:
% 44.50/14.46  																					| (527)  ~ (all_0_97_97 = e2)
% 44.50/14.46  																					| (525) all_0_98_98 = e2
% 44.50/14.46  																					|
% 44.50/14.46  																						| Equations (525) can reduce 1349 to:
% 44.50/14.46  																						| (311) $false
% 44.50/14.46  																						|
% 44.50/14.46  																						|-The branch is then unsatisfiable
% 44.50/14.46  																		|-Branch two:
% 44.50/14.46  																		| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 44.50/14.46  																		|
% 44.50/14.46  																			| Applying alpha-rule on (411) yields:
% 44.50/14.46  																			| (337) all_0_41_41 = e0
% 44.50/14.46  																			| (413)  ~ (all_0_42_42 = e4)
% 44.50/14.46  																			|
% 44.50/14.46  																			| Equations (336) can reduce 413 to:
% 44.50/14.46  																			| (311) $false
% 44.50/14.46  																			|
% 44.50/14.46  																			|-The branch is then unsatisfiable
% 44.50/14.46  																	|-Branch two:
% 44.50/14.46  																	| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 44.50/14.46  																	|
% 44.50/14.46  																		| Applying alpha-rule on (415) yields:
% 44.50/14.46  																		| (416) all_0_80_80 = e3
% 44.50/14.46  																		| (417)  ~ (all_0_84_84 = e4)
% 44.50/14.46  																		|
% 44.50/14.46  																		| Combining equations (546,416) yields a new equation:
% 44.50/14.46  																		| (548) e3 = e2
% 44.50/14.46  																		|
% 44.50/14.46  																		| Equations (548) can reduce 169 to:
% 44.50/14.46  																		| (311) $false
% 44.50/14.46  																		|
% 44.50/14.46  																		|-The branch is then unsatisfiable
% 44.50/14.46  														|-Branch two:
% 44.50/14.46  														| (394)  ~ (all_0_80_80 = e2)
% 44.50/14.46  														| (473) all_0_81_81 = e2
% 44.50/14.46  														|
% 44.50/14.46  															| Equations (473) can reduce 396 to:
% 44.50/14.46  															| (311) $false
% 44.50/14.46  															|
% 44.50/14.46  															|-The branch is then unsatisfiable
% 44.50/14.46  										|-Branch two:
% 44.50/14.46  										| (398)  ~ (all_0_83_83 = e2)
% 44.50/14.46  										| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 44.50/14.46  										|
% 44.50/14.46  											+-Applying beta-rule and splitting (1627), into two cases.
% 44.50/14.46  											|-Branch one:
% 44.50/14.46  											| (453) all_0_83_83 = e2
% 44.50/14.46  											|
% 44.50/14.46  												| Equations (453) can reduce 398 to:
% 44.50/14.46  												| (311) $false
% 44.50/14.46  												|
% 44.50/14.46  												|-The branch is then unsatisfiable
% 44.50/14.46  											|-Branch two:
% 44.50/14.46  											| (398)  ~ (all_0_83_83 = e2)
% 44.50/14.46  											| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 44.50/14.46  											|
% 44.50/14.46  												+-Applying beta-rule and splitting (8061), into two cases.
% 44.50/14.46  												|-Branch one:
% 44.50/14.46  												| (1723) all_0_91_91 = e2
% 44.50/14.46  												|
% 44.50/14.46  													| Equations (1723) can reduce 296 to:
% 44.50/14.46  													| (311) $false
% 44.50/14.46  													|
% 44.50/14.46  													|-The branch is then unsatisfiable
% 44.50/14.46  												|-Branch two:
% 44.50/14.46  												| (296)  ~ (all_0_91_91 = e2)
% 44.50/14.46  												| (1704) all_0_96_96 = e2
% 44.50/14.46  												|
% 44.50/14.46  													| Equations (1704) can reduce 214 to:
% 44.50/14.46  													| (1622)  ~ (all_0_79_79 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Equations (1704) can reduce 211 to:
% 44.50/14.46  													| (398)  ~ (all_0_83_83 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Equations (1704) can reduce 64 to:
% 44.50/14.46  													| (296)  ~ (all_0_91_91 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Equations (1704) can reduce 279 to:
% 44.50/14.46  													| (355)  ~ (all_0_95_95 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Equations (1704) can reduce 43 to:
% 44.50/14.46  													| (1348)  ~ (all_0_98_98 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Simplifying 1348 yields:
% 44.50/14.46  													| (1349)  ~ (all_0_98_98 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Equations (1704) can reduce 115 to:
% 44.50/14.46  													| (528)  ~ (e4 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| Simplifying 528 yields:
% 44.50/14.46  													| (79)  ~ (e4 = e2)
% 44.50/14.46  													|
% 44.50/14.46  													| From (1704) and (58) follows:
% 44.50/14.46  													| (8073) op(e2, e2) = all_0_35_35
% 44.50/14.46  													|
% 44.50/14.46  													| From (1704) and (88) follows:
% 44.50/14.46  													| (8074) op(e2, e0) = all_0_34_34
% 44.50/14.46  													|
% 44.50/14.46  													| From (1704) and (212) follows:
% 44.50/14.46  													| (8075) op(e2, e2) = all_0_58_58
% 44.50/14.46  													|
% 44.50/14.46  													| From (1704) and (268) follows:
% 44.50/14.46  													| (8076) op(e0, e2) = all_0_59_59
% 44.50/14.46  													|
% 44.50/14.46  													| From (1704) and (59) follows:
% 44.50/14.46  													| (8077) op(e0, e2) = e2
% 44.50/14.46  													|
% 44.50/14.46  													| Instantiating formula (262) with e2, e2, all_0_35_35, e4 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = e4, yields:
% 44.50/14.46  													| (8078) all_0_35_35 = e4
% 44.50/14.46  													|
% 44.50/14.46  													| Instantiating formula (262) with e2, e2, all_0_58_58, all_0_35_35 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = all_0_58_58, yields:
% 44.50/14.46  													| (8079) all_0_35_35 = all_0_58_58
% 44.50/14.46  													|
% 44.50/14.46  													| Instantiating formula (262) with e2, e0, all_0_34_34, e2 and discharging atoms op(e2, e0) = all_0_34_34, op(e2, e0) = e2, yields:
% 44.50/14.46  													| (3939) all_0_34_34 = e2
% 44.50/14.46  													|
% 44.50/14.46  													| Instantiating formula (262) with e0, e2, e2, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = e2, yields:
% 44.50/14.46  													| (5799) all_0_59_59 = e2
% 44.50/14.46  													|
% 44.50/14.46  													| Combining equations (8078,8079) yields a new equation:
% 44.50/14.46  													| (8082) all_0_58_58 = e4
% 44.50/14.46  													|
% 44.50/14.46  													| Combining equations (8082,8079) yields a new equation:
% 44.50/14.46  													| (8078) all_0_35_35 = e4
% 44.50/14.46  													|
% 44.50/14.46  													| From (3939) and (8074) follows:
% 44.50/14.47  													| (18818) op(e2, e0) = e2
% 44.50/14.47  													|
% 44.50/14.47  													| From (5799) and (8076) follows:
% 44.50/14.47  													| (8077) op(e0, e2) = e2
% 44.50/14.47  													|
% 44.50/14.47  													+-Applying beta-rule and splitting (127), into two cases.
% 44.50/14.47  													|-Branch one:
% 44.50/14.47  													| (457) all_0_79_79 = e1
% 44.50/14.47  													|
% 44.50/14.47  														| Equations (457) can reduce 66 to:
% 44.50/14.47  														| (1601)  ~ (all_0_78_78 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Equations (457) can reduce 63 to:
% 44.50/14.47  														| (1665)  ~ (all_0_80_80 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Simplifying 1665 yields:
% 44.50/14.47  														| (828)  ~ (all_0_80_80 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Equations (457) can reduce 15 to:
% 44.50/14.47  														| (1667)  ~ (all_0_81_81 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Simplifying 1667 yields:
% 44.50/14.47  														| (628)  ~ (all_0_81_81 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Equations (457) can reduce 272 to:
% 44.50/14.47  														| (11487)  ~ (all_0_83_83 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Simplifying 11487 yields:
% 44.50/14.47  														| (113)  ~ (all_0_83_83 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Equations (457) can reduce 17 to:
% 44.50/14.47  														| (1669)  ~ (all_0_91_91 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Simplifying 1669 yields:
% 44.50/14.47  														| (959)  ~ (all_0_91_91 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Equations (457) can reduce 1622 to:
% 44.50/14.47  														| (487)  ~ (e2 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| Simplifying 487 yields:
% 44.50/14.47  														| (243)  ~ (e2 = e1)
% 44.50/14.47  														|
% 44.50/14.47  														| From (457) and (178) follows:
% 44.50/14.47  														| (1676) op(e1, e4) = all_0_2_2
% 44.50/14.47  														|
% 44.50/14.47  														| From (457) and (71) follows:
% 44.50/14.47  														| (1677) op(e1, e2) = all_0_3_3
% 44.50/14.47  														|
% 44.50/14.47  														| From (457) and (267) follows:
% 44.50/14.47  														| (1678) op(e4, e2) = e1
% 44.50/14.47  														|
% 44.50/14.47  														| From (457) and (184) follows:
% 44.50/14.47  														| (1679) op(e2, e1) = all_0_52_52
% 44.50/14.47  														|
% 44.50/14.47  														| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 44.50/14.47  														| (11070) all_0_52_52 = e0
% 44.50/14.47  														|
% 44.50/14.47  														| Instantiating formula (262) with e1, e4, all_0_2_2, e2 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = e2, yields:
% 44.50/14.47  														| (1681) all_0_2_2 = e2
% 44.50/14.47  														|
% 44.50/14.47  														| Instantiating formula (262) with e1, e2, all_0_3_3, all_0_91_91 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = all_0_91_91, yields:
% 44.50/14.47  														| (1682) all_0_3_3 = all_0_91_91
% 44.50/14.47  														|
% 44.50/14.47  														| From (11070) and (1679) follows:
% 44.50/14.47  														| (1959) op(e2, e1) = e0
% 44.50/14.47  														|
% 44.50/14.47  														| From (1681) and (1676) follows:
% 44.50/14.47  														| (307) op(e1, e4) = e2
% 44.50/14.47  														|
% 44.50/14.47  														| From (1682) and (1677) follows:
% 44.50/14.47  														| (3) op(e1, e2) = all_0_91_91
% 44.50/14.47  														|
% 44.50/14.47  														+-Applying beta-rule and splitting (219), into two cases.
% 44.50/14.47  														|-Branch one:
% 44.50/14.47  														| (798) all_0_83_83 = e0
% 44.50/14.47  														|
% 44.50/14.47  															| Equations (798) can reduce 116 to:
% 44.50/14.47  															| (914)  ~ (all_0_82_82 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Equations (798) can reduce 223 to:
% 44.50/14.47  															| (2207)  ~ (all_0_84_84 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Simplifying 2207 yields:
% 44.50/14.47  															| (919)  ~ (all_0_84_84 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Equations (798) can reduce 226 to:
% 44.50/14.47  															| (799)  ~ (all_0_85_85 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Simplifying 799 yields:
% 44.50/14.47  															| (800)  ~ (all_0_85_85 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Equations (798) can reduce 146 to:
% 44.50/14.47  															| (1830)  ~ (all_0_91_91 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Simplifying 1830 yields:
% 44.50/14.47  															| (1487)  ~ (all_0_91_91 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Equations (798) can reduce 113 to:
% 44.50/14.47  															| (859)  ~ (e1 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| Simplifying 859 yields:
% 44.50/14.47  															| (264)  ~ (e1 = e0)
% 44.50/14.47  															|
% 44.50/14.47  															| From (798) and (29) follows:
% 44.55/14.47  															| (22881) op(e0, e3) = all_0_9_9
% 44.55/14.47  															|
% 44.55/14.47  															| From (798) and (234) follows:
% 44.55/14.47  															| (22882) op(e0, e2) = all_0_10_10
% 44.55/14.47  															|
% 44.55/14.47  															| From (798) and (163) follows:
% 44.55/14.47  															| (1036) op(e3, e0) = all_0_55_55
% 44.55/14.47  															|
% 44.55/14.47  															| From (798) and (174) follows:
% 44.55/14.47  															| (22884) op(e3, e2) = e0
% 44.55/14.47  															|
% 44.55/14.47  															+-Applying beta-rule and splitting (284), into two cases.
% 44.55/14.47  															|-Branch one:
% 44.55/14.47  															| (1723) all_0_91_91 = e2
% 44.55/14.47  															|
% 44.55/14.47  																| Equations (1723) can reduce 296 to:
% 44.55/14.47  																| (311) $false
% 44.55/14.47  																|
% 44.55/14.47  																|-The branch is then unsatisfiable
% 44.55/14.47  															|-Branch two:
% 44.55/14.47  															| (296)  ~ (all_0_91_91 = e2)
% 44.55/14.47  															| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.55/14.47  															|
% 44.55/14.47  																+-Applying beta-rule and splitting (1726), into two cases.
% 44.55/14.47  																|-Branch one:
% 44.55/14.47  																| (801) all_0_91_91 = e1
% 44.55/14.47  																|
% 44.55/14.47  																	| Equations (801) can reduce 959 to:
% 44.55/14.47  																	| (311) $false
% 44.55/14.47  																	|
% 44.55/14.47  																	|-The branch is then unsatisfiable
% 44.55/14.47  																|-Branch two:
% 44.55/14.47  																| (959)  ~ (all_0_91_91 = e1)
% 44.55/14.47  																| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 44.55/14.47  																|
% 44.55/14.47  																	+-Applying beta-rule and splitting (1880), into two cases.
% 44.55/14.47  																	|-Branch one:
% 44.55/14.47  																	| (588) all_0_91_91 = e3
% 44.55/14.47  																	|
% 44.55/14.47  																		| Combining equations (588,1682) yields a new equation:
% 44.55/14.47  																		| (22894) all_0_3_3 = e3
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 103 to:
% 44.55/14.47  																		| (745)  ~ (all_0_90_90 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 265 to:
% 44.55/14.47  																		| (425)  ~ (all_0_92_92 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Simplifying 425 yields:
% 44.55/14.47  																		| (426)  ~ (all_0_92_92 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 44 to:
% 44.55/14.47  																		| (807)  ~ (all_0_93_93 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Simplifying 807 yields:
% 44.55/14.47  																		| (602)  ~ (all_0_93_93 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 133 to:
% 44.55/14.47  																		| (783)  ~ (e4 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Simplifying 783 yields:
% 44.55/14.47  																		| (177)  ~ (e4 = e3)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 296 to:
% 44.55/14.47  																		| (169)  ~ (e3 = e2)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 959 to:
% 44.55/14.47  																		| (20)  ~ (e3 = e1)
% 44.55/14.47  																		|
% 44.55/14.47  																		| Equations (588) can reduce 1487 to:
% 44.55/14.47  																		| (50)  ~ (e3 = e0)
% 44.55/14.47  																		|
% 44.55/14.47  																		| From (588) and (120) follows:
% 44.55/14.48  																		| (22905) op(e3, e2) = all_0_26_26
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (588) and (224) follows:
% 44.55/14.48  																		| (22906) op(e3, e1) = all_0_25_25
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (588) and (222) follows:
% 44.55/14.48  																		| (8109) op(e2, e3) = all_0_56_56
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (588) and (51) follows:
% 44.55/14.48  																		| (15066) op(e1, e3) = all_0_57_57
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (588) and (3) follows:
% 44.55/14.48  																		| (22909) op(e1, e2) = e3
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e3, e2, e0, all_0_26_26 and discharging atoms op(e3, e2) = all_0_26_26, op(e3, e2) = e0, yields:
% 44.55/14.48  																		| (22910) all_0_26_26 = e0
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e3, e1, all_0_25_25, all_0_84_84 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_84_84, yields:
% 44.55/14.48  																		| (22911) all_0_25_25 = all_0_84_84
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_85_85 and discharging atoms op(e3, e0) = all_0_55_55, op(e3, e0) = all_0_85_85, yields:
% 44.55/14.48  																		| (17466) all_0_55_55 = all_0_85_85
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e2, e3, all_0_56_56, e1 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e1, yields:
% 44.55/14.48  																		| (1701) all_0_56_56 = e1
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e1, e3, all_0_57_57, all_0_90_90 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = all_0_90_90, yields:
% 44.55/14.48  																		| (22914) all_0_57_57 = all_0_90_90
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e0, e3, all_0_9_9, all_0_95_95 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_95_95, yields:
% 44.55/14.48  																		| (22915) all_0_9_9 = all_0_95_95
% 44.55/14.48  																		|
% 44.55/14.48  																		| Instantiating formula (262) with e0, e2, all_0_10_10, e2 and discharging atoms op(e0, e2) = all_0_10_10, op(e0, e2) = e2, yields:
% 44.55/14.48  																		| (22916) all_0_10_10 = e2
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (22910) and (22905) follows:
% 44.55/14.48  																		| (22884) op(e3, e2) = e0
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (22911) and (22906) follows:
% 44.55/14.48  																		| (232) op(e3, e1) = all_0_84_84
% 44.55/14.48  																		|
% 44.55/14.48  																		| From (17466) and (1036) follows:
% 44.55/14.49  																		| (8) op(e3, e0) = all_0_85_85
% 44.55/14.49  																		|
% 44.55/14.49  																		| From (1701) and (8109) follows:
% 44.55/14.49  																		| (1844) op(e2, e3) = e1
% 44.55/14.49  																		|
% 44.55/14.49  																		| From (22914) and (15066) follows:
% 44.55/14.49  																		| (218) op(e1, e3) = all_0_90_90
% 44.55/14.49  																		|
% 44.55/14.49  																		| From (22915) and (22881) follows:
% 44.55/14.49  																		| (275) op(e0, e3) = all_0_95_95
% 44.55/14.49  																		|
% 44.55/14.49  																		+-Applying beta-rule and splitting (101), into two cases.
% 44.55/14.49  																		|-Branch one:
% 44.55/14.49  																		| (400) all_0_78_78 = e2
% 44.55/14.49  																		|
% 44.55/14.49  																			| Equations (400) can reduce 67 to:
% 44.55/14.49  																			| (393)  ~ (all_0_80_80 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Simplifying 393 yields:
% 44.55/14.49  																			| (394)  ~ (all_0_80_80 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Equations (400) can reduce 278 to:
% 44.55/14.49  																			| (395)  ~ (all_0_81_81 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Simplifying 395 yields:
% 44.55/14.49  																			| (396)  ~ (all_0_81_81 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Equations (400) can reduce 193 to:
% 44.55/14.49  																			| (9974)  ~ (all_0_82_82 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Simplifying 9974 yields:
% 44.55/14.49  																			| (347)  ~ (all_0_82_82 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Equations (400) can reduce 85 to:
% 44.55/14.49  																			| (293)  ~ (all_0_90_90 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Simplifying 293 yields:
% 44.55/14.49  																			| (294)  ~ (all_0_90_90 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Equations (400) can reduce 125 to:
% 44.55/14.49  																			| (354)  ~ (all_0_95_95 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Simplifying 354 yields:
% 44.55/14.49  																			| (355)  ~ (all_0_95_95 = e2)
% 44.55/14.49  																			|
% 44.55/14.49  																			| Equations (400) can reduce 86 to:
% 44.55/14.49  																			| (76)  ~ (e2 = e0)
% 44.55/14.49  																			|
% 44.55/14.49  																			| From (400) and (37) follows:
% 44.55/14.49  																			| (22935) op(e2, e4) = all_0_0_0
% 44.55/14.49  																			|
% 44.55/14.49  																			| From (400) and (136) follows:
% 44.55/14.49  																			| (22936) op(e2, e3) = all_0_1_1
% 44.55/14.49  																			|
% 44.55/14.49  																			| From (400) and (104) follows:
% 44.55/14.49  																			| (9981) op(e4, e2) = all_0_44_44
% 44.55/14.49  																			|
% 44.55/14.49  																			| From (400) and (263) follows:
% 44.55/14.49  																			| (9982) op(e4, e3) = e2
% 44.55/14.49  																			|
% 44.55/14.49  																			| From (400) and (138) follows:
% 44.55/14.49  																			| (9983) op(e3, e2) = all_0_43_43
% 44.55/14.49  																			|
% 44.55/14.49  																			+-Applying beta-rule and splitting (41), into two cases.
% 44.55/14.49  																			|-Branch one:
% 44.55/14.49  																			| (530) all_0_82_82 = e2
% 44.55/14.49  																			|
% 44.55/14.49  																				| Equations (530) can reduce 347 to:
% 44.55/14.49  																				| (311) $false
% 44.55/14.49  																				|
% 44.55/14.49  																				|-The branch is then unsatisfiable
% 44.55/14.49  																			|-Branch two:
% 44.55/14.49  																			| (347)  ~ (all_0_82_82 = e2)
% 44.55/14.49  																			| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 44.55/14.49  																			|
% 44.55/14.49  																				+-Applying beta-rule and splitting (192), into two cases.
% 44.55/14.49  																				|-Branch one:
% 44.55/14.49  																				| (546) all_0_80_80 = e2
% 44.55/14.49  																				|
% 44.55/14.49  																					| Equations (546) can reduce 394 to:
% 44.55/14.49  																					| (311) $false
% 44.55/14.49  																					|
% 44.55/14.49  																					|-The branch is then unsatisfiable
% 44.55/14.49  																				|-Branch two:
% 44.55/14.49  																				| (394)  ~ (all_0_80_80 = e2)
% 44.55/14.49  																				| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 44.55/14.49  																				|
% 44.55/14.49  																					+-Applying beta-rule and splitting (533), into two cases.
% 44.55/14.49  																					|-Branch one:
% 44.55/14.49  																					| (453) all_0_83_83 = e2
% 44.55/14.49  																					|
% 44.55/14.49  																						| Combining equations (798,453) yields a new equation:
% 44.55/14.49  																						| (379) e2 = e0
% 44.55/14.49  																						|
% 44.55/14.49  																						| Equations (379) can reduce 76 to:
% 44.55/14.49  																						| (311) $false
% 44.55/14.49  																						|
% 44.55/14.49  																						|-The branch is then unsatisfiable
% 44.55/14.49  																					|-Branch two:
% 44.55/14.49  																					| (398)  ~ (all_0_83_83 = e2)
% 44.55/14.49  																					| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 44.55/14.49  																					|
% 44.55/14.49  																						+-Applying beta-rule and splitting (551), into two cases.
% 44.55/14.49  																						|-Branch one:
% 44.55/14.49  																						| (552) all_0_84_84 = e2
% 44.55/14.49  																						|
% 44.55/14.49  																							| Equations (552) can reduce 273 to:
% 44.55/14.49  																							| (394)  ~ (all_0_80_80 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Equations (552) can reduce 7 to:
% 44.55/14.49  																							| (347)  ~ (all_0_82_82 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Equations (552) can reduce 154 to:
% 44.55/14.49  																							| (691)  ~ (all_0_85_85 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Simplifying 691 yields:
% 44.55/14.49  																							| (515)  ~ (all_0_85_85 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Equations (552) can reduce 87 to:
% 44.55/14.49  																							| (297)  ~ (all_0_92_92 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Simplifying 297 yields:
% 44.55/14.49  																							| (298)  ~ (all_0_92_92 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Equations (552) can reduce 195 to:
% 44.55/14.49  																							| (2376)  ~ (all_0_97_97 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Simplifying 2376 yields:
% 44.55/14.49  																							| (527)  ~ (all_0_97_97 = e2)
% 44.55/14.49  																							|
% 44.55/14.49  																							| Equations (552) can reduce 259 to:
% 44.55/14.49  																							| (243)  ~ (e2 = e1)
% 44.55/14.49  																							|
% 44.55/14.49  																							| From (552) and (54) follows:
% 44.55/14.49  																							| (22963) op(e2, e3) = all_0_11_11
% 44.55/14.49  																							|
% 44.55/14.49  																							| From (552) and (194) follows:
% 44.55/14.49  																							| (22964) op(e2, e1) = all_0_12_12
% 44.55/14.49  																							|
% 44.55/14.49  																							| From (552) and (150) follows:
% 44.55/14.49  																							| (22965) op(e3, e2) = all_0_63_63
% 44.55/14.49  																							|
% 44.55/14.49  																							| From (552) and (232) follows:
% 44.55/14.49  																							| (22966) op(e3, e1) = e2
% 44.55/14.49  																							|
% 44.55/14.49  																							| Instantiating formula (262) with e4, e2, all_0_44_44, e1 and discharging atoms op(e4, e2) = all_0_44_44, op(e4, e2) = e1, yields:
% 44.55/14.50  																							| (22967) all_0_44_44 = e1
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e3, e2, all_0_43_43, e0 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e0, yields:
% 44.55/14.50  																							| (22968) all_0_43_43 = e0
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e3, e2, all_0_63_63, all_0_43_43 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = all_0_63_63, yields:
% 44.55/14.50  																							| (22969) all_0_43_43 = all_0_63_63
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e2, e4, all_0_0_0, e3 and discharging atoms op(e2, e4) = all_0_0_0, op(e2, e4) = e3, yields:
% 44.55/14.50  																							| (22970) all_0_0_0 = e3
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e2, e3, all_0_1_1, e1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = e1, yields:
% 44.55/14.50  																							| (22971) all_0_1_1 = e1
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e2, e3, all_0_11_11, all_0_1_1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_11_11, yields:
% 44.55/14.50  																							| (22972) all_0_1_1 = all_0_11_11
% 44.55/14.50  																							|
% 44.55/14.50  																							| Instantiating formula (262) with e2, e1, all_0_12_12, e0 and discharging atoms op(e2, e1) = all_0_12_12, op(e2, e1) = e0, yields:
% 44.55/14.50  																							| (22973) all_0_12_12 = e0
% 44.55/14.50  																							|
% 44.55/14.50  																							| Combining equations (22971,22972) yields a new equation:
% 44.55/14.50  																							| (22974) all_0_11_11 = e1
% 44.55/14.50  																							|
% 44.55/14.50  																							| Combining equations (22968,22969) yields a new equation:
% 44.55/14.50  																							| (4460) all_0_63_63 = e0
% 44.55/14.50  																							|
% 44.55/14.50  																							| Combining equations (22974,22972) yields a new equation:
% 44.55/14.50  																							| (22971) all_0_1_1 = e1
% 44.55/14.50  																							|
% 44.55/14.50  																							| From (22967) and (9981) follows:
% 44.55/14.51  																							| (1678) op(e4, e2) = e1
% 44.55/14.51  																							|
% 44.55/14.51  																							| From (4460) and (22965) follows:
% 44.55/14.51  																							| (22884) op(e3, e2) = e0
% 44.55/14.51  																							|
% 44.55/14.51  																							| From (22970) and (22935) follows:
% 44.55/14.51  																							| (172) op(e2, e4) = e3
% 44.55/14.51  																							|
% 44.55/14.51  																							| From (22974) and (22963) follows:
% 44.55/14.51  																							| (1844) op(e2, e3) = e1
% 44.55/14.51  																							|
% 44.55/14.51  																							+-Applying beta-rule and splitting (56), into two cases.
% 44.55/14.51  																							|-Branch one:
% 44.55/14.51  																							| (463) all_0_78_78 = e4
% 44.55/14.51  																							|
% 44.55/14.51  																								| Combining equations (400,463) yields a new equation:
% 44.55/14.51  																								| (310) e4 = e2
% 44.55/14.51  																								|
% 44.55/14.51  																								| Equations (310) can reduce 79 to:
% 44.55/14.51  																								| (311) $false
% 44.55/14.51  																								|
% 44.55/14.51  																								|-The branch is then unsatisfiable
% 44.55/14.51  																							|-Branch two:
% 44.55/14.51  																							| (640)  ~ (all_0_78_78 = e4)
% 44.55/14.51  																							| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.55/14.51  																							|
% 44.55/14.51  																								| Equations (400) can reduce 640 to:
% 44.55/14.51  																								| (528)  ~ (e4 = e2)
% 44.55/14.51  																								|
% 44.55/14.51  																								| Simplifying 528 yields:
% 44.55/14.51  																								| (79)  ~ (e4 = e2)
% 44.55/14.51  																								|
% 44.55/14.51  																								+-Applying beta-rule and splitting (109), into two cases.
% 44.55/14.51  																								|-Branch one:
% 44.55/14.51  																								| (469) all_0_82_82 = e4
% 44.55/14.51  																								|
% 44.55/14.51  																									| Equations (469) can reduce 209 to:
% 44.55/14.51  																									| (647)  ~ (all_0_85_85 = e4)
% 44.55/14.51  																									|
% 44.55/14.51  																									| Simplifying 647 yields:
% 44.55/14.51  																									| (648)  ~ (all_0_85_85 = e4)
% 44.55/14.51  																									|
% 44.55/14.51  																									| Equations (469) can reduce 255 to:
% 44.55/14.51  																									| (466)  ~ (all_0_90_90 = e4)
% 44.55/14.51  																									|
% 44.55/14.51  																									| Simplifying 466 yields:
% 44.55/14.51  																									| (467)  ~ (all_0_90_90 = e4)
% 44.55/14.51  																									|
% 44.55/14.51  																									| From (469) and (61) follows:
% 44.55/14.51  																									| (671) op(e3, e3) = e4
% 44.55/14.51  																									|
% 44.55/14.51  																									+-Applying beta-rule and splitting (220), into two cases.
% 44.55/14.51  																									|-Branch one:
% 44.55/14.51  																									| (771) all_0_78_78 = e3
% 44.55/14.51  																									|
% 44.55/14.51  																										| Combining equations (400,771) yields a new equation:
% 44.55/14.51  																										| (548) e3 = e2
% 44.55/14.51  																										|
% 44.55/14.51  																										| Equations (548) can reduce 169 to:
% 44.55/14.51  																										| (311) $false
% 44.55/14.51  																										|
% 44.55/14.51  																										|-The branch is then unsatisfiable
% 44.55/14.51  																									|-Branch two:
% 44.55/14.51  																									| (418)  ~ (all_0_78_78 = e3)
% 44.55/14.51  																									| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.55/14.51  																									|
% 44.55/14.51  																										+-Applying beta-rule and splitting (775), into two cases.
% 44.55/14.51  																										|-Branch one:
% 44.55/14.51  																										| (789) all_0_82_82 = e3
% 44.55/14.51  																										|
% 44.55/14.51  																											| Combining equations (469,789) yields a new equation:
% 44.55/14.51  																											| (790) e4 = e3
% 44.55/14.51  																											|
% 44.55/14.51  																											| Simplifying 790 yields:
% 44.55/14.51  																											| (434) e4 = e3
% 44.55/14.51  																											|
% 44.55/14.51  																											| Equations (434) can reduce 177 to:
% 44.55/14.51  																											| (311) $false
% 44.55/14.51  																											|
% 44.55/14.51  																											|-The branch is then unsatisfiable
% 44.55/14.51  																										|-Branch two:
% 44.55/14.51  																										| (793)  ~ (all_0_82_82 = e3)
% 44.55/14.51  																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.55/14.51  																										|
% 44.55/14.51  																											+-Applying beta-rule and splitting (27), into two cases.
% 44.55/14.51  																											|-Branch one:
% 44.55/14.51  																											| (746) all_0_90_90 = e2
% 44.55/14.51  																											|
% 44.55/14.51  																												| Equations (746) can reduce 294 to:
% 44.55/14.51  																												| (311) $false
% 44.55/14.51  																												|
% 44.55/14.51  																												|-The branch is then unsatisfiable
% 44.55/14.51  																											|-Branch two:
% 44.55/14.51  																											| (294)  ~ (all_0_90_90 = e2)
% 44.55/14.51  																											| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 44.55/14.51  																											|
% 44.55/14.51  																												+-Applying beta-rule and splitting (182), into two cases.
% 44.55/14.51  																												|-Branch one:
% 44.55/14.51  																												| (512) all_0_85_85 = e2
% 44.55/14.51  																												|
% 44.55/14.51  																													| Equations (512) can reduce 515 to:
% 44.55/14.51  																													| (311) $false
% 44.55/14.51  																													|
% 44.55/14.51  																													|-The branch is then unsatisfiable
% 44.55/14.51  																												|-Branch two:
% 44.55/14.51  																												| (515)  ~ (all_0_85_85 = e2)
% 44.55/14.51  																												| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.55/14.51  																												|
% 44.55/14.51  																													+-Applying beta-rule and splitting (749), into two cases.
% 44.55/14.51  																													|-Branch one:
% 44.55/14.51  																													| (750) all_0_90_90 = e1
% 44.55/14.51  																													|
% 44.55/14.51  																														| Equations (750) can reduce 678 to:
% 44.55/14.51  																														| (311) $false
% 44.55/14.51  																														|
% 44.55/14.51  																														|-The branch is then unsatisfiable
% 44.55/14.51  																													|-Branch two:
% 44.55/14.51  																													| (678)  ~ (all_0_90_90 = e1)
% 44.55/14.51  																													| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 44.55/14.51  																													|
% 44.55/14.51  																														+-Applying beta-rule and splitting (725), into two cases.
% 44.55/14.51  																														|-Branch one:
% 44.55/14.51  																														| (804) all_0_85_85 = e3
% 44.55/14.51  																														|
% 44.55/14.51  																															| Equations (804) can reduce 118 to:
% 44.55/14.51  																															| (420)  ~ (all_0_81_81 = e3)
% 44.55/14.51  																															|
% 44.55/14.51  																															| Equations (804) can reduce 201 to:
% 44.55/14.51  																															| (807)  ~ (all_0_93_93 = e3)
% 44.55/14.51  																															|
% 44.55/14.51  																															| Simplifying 807 yields:
% 44.55/14.51  																															| (602)  ~ (all_0_93_93 = e3)
% 44.55/14.51  																															|
% 44.55/14.51  																															| Equations (804) can reduce 800 to:
% 44.55/14.51  																															| (50)  ~ (e3 = e0)
% 44.55/14.51  																															|
% 44.55/14.51  																															| From (804) and (12) follows:
% 44.55/14.51  																															| (23022) op(e3, e3) = all_0_13_13
% 44.55/14.51  																															|
% 44.55/14.51  																															+-Applying beta-rule and splitting (753), into two cases.
% 44.55/14.51  																															|-Branch one:
% 44.55/14.51  																															| (754) all_0_90_90 = e3
% 44.55/14.51  																															|
% 44.55/14.51  																																| Equations (754) can reduce 745 to:
% 44.55/14.51  																																| (311) $false
% 44.55/14.51  																																|
% 44.55/14.51  																																|-The branch is then unsatisfiable
% 44.55/14.51  																															|-Branch two:
% 44.55/14.51  																															| (745)  ~ (all_0_90_90 = e3)
% 44.55/14.51  																															| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 44.55/14.51  																															|
% 44.55/14.51  																																+-Applying beta-rule and splitting (123), into two cases.
% 44.55/14.51  																																|-Branch one:
% 44.55/14.51  																																| (473) all_0_81_81 = e2
% 44.55/14.51  																																|
% 44.55/14.51  																																	| Equations (473) can reduce 396 to:
% 44.55/14.51  																																	| (311) $false
% 44.55/14.51  																																	|
% 44.55/14.51  																																	|-The branch is then unsatisfiable
% 44.55/14.51  																																|-Branch two:
% 44.55/14.51  																																| (396)  ~ (all_0_81_81 = e2)
% 44.55/14.51  																																| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.55/14.51  																																|
% 44.55/14.51  																																	+-Applying beta-rule and splitting (476), into two cases.
% 44.55/14.51  																																	|-Branch one:
% 44.55/14.51  																																	| (477) all_0_81_81 = e1
% 44.55/14.51  																																	|
% 44.55/14.51  																																		| Equations (477) can reduce 628 to:
% 44.55/14.51  																																		| (311) $false
% 44.55/14.51  																																		|
% 44.55/14.51  																																		|-The branch is then unsatisfiable
% 44.55/14.51  																																	|-Branch two:
% 44.55/14.51  																																	| (628)  ~ (all_0_81_81 = e1)
% 44.55/14.51  																																	| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 44.55/14.51  																																	|
% 44.55/14.51  																																		+-Applying beta-rule and splitting (629), into two cases.
% 44.55/14.51  																																		|-Branch one:
% 44.55/14.51  																																		| (635) all_0_81_81 = e3
% 44.55/14.51  																																		|
% 44.55/14.51  																																			| Equations (635) can reduce 420 to:
% 44.55/14.51  																																			| (311) $false
% 44.55/14.51  																																			|
% 44.55/14.51  																																			|-The branch is then unsatisfiable
% 44.55/14.51  																																		|-Branch two:
% 44.55/14.51  																																		| (420)  ~ (all_0_81_81 = e3)
% 44.55/14.51  																																		| (638) all_0_81_81 = e4
% 44.55/14.51  																																		|
% 44.55/14.51  																																			| Equations (638) can reduce 144 to:
% 44.55/14.51  																																			| (436)  ~ (all_0_80_80 = e4)
% 44.55/14.51  																																			|
% 44.55/14.51  																																			| Equations (638) can reduce 5 to:
% 44.55/14.51  																																			| (320)  ~ (all_0_98_98 = e4)
% 44.55/14.51  																																			|
% 44.55/14.51  																																			| Simplifying 320 yields:
% 44.55/14.51  																																			| (321)  ~ (all_0_98_98 = e4)
% 44.55/14.51  																																			|
% 44.55/14.51  																																			| Equations (638) can reduce 396 to:
% 44.55/14.51  																																			| (79)  ~ (e4 = e2)
% 44.55/14.51  																																			|
% 44.55/14.51  																																			+-Applying beta-rule and splitting (46), into two cases.
% 44.55/14.51  																																			|-Branch one:
% 44.55/14.51  																																			| (308) all_0_89_89 = e4
% 44.55/14.51  																																			|
% 44.55/14.51  																																				| Combining equations (308,292) yields a new equation:
% 44.55/14.51  																																				| (309) e4 = e2
% 44.55/14.51  																																				|
% 44.55/14.51  																																				| Simplifying 309 yields:
% 44.55/14.51  																																				| (310) e4 = e2
% 44.55/14.51  																																				|
% 44.55/14.51  																																				| Equations (310) can reduce 79 to:
% 44.55/14.51  																																				| (311) $false
% 44.55/14.51  																																				|
% 44.55/14.51  																																				|-The branch is then unsatisfiable
% 44.55/14.51  																																			|-Branch two:
% 44.55/14.51  																																			| (312)  ~ (all_0_89_89 = e4)
% 44.55/14.51  																																			| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.55/14.51  																																			|
% 44.55/14.51  																																				| Equations (292) can reduce 312 to:
% 44.55/14.51  																																				| (528)  ~ (e4 = e2)
% 44.55/14.51  																																				|
% 44.55/14.51  																																				| Simplifying 528 yields:
% 44.55/14.51  																																				| (79)  ~ (e4 = e2)
% 44.55/14.51  																																				|
% 44.55/14.51  																																				+-Applying beta-rule and splitting (210), into two cases.
% 44.55/14.51  																																				|-Branch one:
% 44.55/14.51  																																				| (433) all_0_80_80 = e4
% 44.55/14.51  																																				|
% 44.55/14.51  																																					| Equations (433) can reduce 436 to:
% 44.55/14.51  																																					| (311) $false
% 44.55/14.51  																																					|
% 44.55/14.51  																																					|-The branch is then unsatisfiable
% 44.55/14.51  																																				|-Branch two:
% 44.55/14.51  																																				| (436)  ~ (all_0_80_80 = e4)
% 44.55/14.51  																																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.55/14.51  																																				|
% 44.55/14.51  																																					+-Applying beta-rule and splitting (794), into two cases.
% 44.55/14.51  																																					|-Branch one:
% 44.55/14.51  																																					| (754) all_0_90_90 = e3
% 44.55/14.51  																																					|
% 44.55/14.51  																																						| Equations (754) can reduce 745 to:
% 44.55/14.51  																																						| (311) $false
% 44.55/14.51  																																						|
% 44.55/14.51  																																						|-The branch is then unsatisfiable
% 44.55/14.51  																																					|-Branch two:
% 44.55/14.51  																																					| (745)  ~ (all_0_90_90 = e3)
% 44.55/14.51  																																					| (744) all_0_95_95 = e3
% 44.55/14.51  																																					|
% 44.55/14.51  																																						| Equations (744) can reduce 229 to:
% 44.55/14.51  																																						| (745)  ~ (all_0_90_90 = e3)
% 44.55/14.51  																																						|
% 44.55/14.51  																																						| Equations (744) can reduce 107 to:
% 44.55/14.51  																																						| (1518)  ~ (all_0_98_98 = e3)
% 44.55/14.51  																																						|
% 44.55/14.51  																																						| Simplifying 1518 yields:
% 44.55/14.51  																																						| (1519)  ~ (all_0_98_98 = e3)
% 44.55/14.51  																																						|
% 44.55/14.51  																																						| From (744) and (77) follows:
% 44.55/14.51  																																						| (23062) op(e3, e3) = all_0_33_33
% 44.55/14.51  																																						|
% 44.55/14.51  																																						| From (744) and (275) follows:
% 44.55/14.51  																																						| (1522) op(e0, e3) = e3
% 44.55/14.51  																																						|
% 44.55/14.51  																																						+-Applying beta-rule and splitting (45), into two cases.
% 44.55/14.51  																																						|-Branch one:
% 44.55/14.51  																																						| (546) all_0_80_80 = e2
% 44.55/14.51  																																						|
% 44.55/14.51  																																							| Equations (546) can reduce 394 to:
% 44.55/14.51  																																							| (311) $false
% 44.55/14.51  																																							|
% 44.55/14.51  																																							|-The branch is then unsatisfiable
% 44.55/14.51  																																						|-Branch two:
% 44.55/14.51  																																						| (394)  ~ (all_0_80_80 = e2)
% 44.55/14.51  																																						| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 44.55/14.51  																																						|
% 44.55/14.51  																																							+-Applying beta-rule and splitting (102), into two cases.
% 44.55/14.51  																																							|-Branch one:
% 44.55/14.51  																																							| (858) all_0_95_95 = e0
% 44.55/14.51  																																							|
% 44.55/14.51  																																								| Combining equations (744,858) yields a new equation:
% 44.55/14.51  																																								| (599) e3 = e0
% 44.55/14.51  																																								|
% 44.55/14.51  																																								| Simplifying 599 yields:
% 44.55/14.51  																																								| (600) e3 = e0
% 44.55/14.51  																																								|
% 44.55/14.51  																																								| Equations (600) can reduce 50 to:
% 44.55/14.51  																																								| (311) $false
% 44.55/14.51  																																								|
% 44.55/14.51  																																								|-The branch is then unsatisfiable
% 44.55/14.51  																																							|-Branch two:
% 44.55/14.51  																																							| (893)  ~ (all_0_95_95 = e0)
% 44.55/14.51  																																							| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.55/14.51  																																							|
% 44.55/14.51  																																								+-Applying beta-rule and splitting (437), into two cases.
% 44.55/14.51  																																								|-Branch one:
% 44.55/14.51  																																								| (438) all_0_84_84 = e4
% 44.55/14.51  																																								|
% 44.55/14.51  																																									| Combining equations (552,438) yields a new equation:
% 44.55/14.51  																																									| (310) e4 = e2
% 44.55/14.51  																																									|
% 44.55/14.51  																																									| Equations (310) can reduce 79 to:
% 44.55/14.51  																																									| (311) $false
% 44.55/14.51  																																									|
% 44.55/14.51  																																									|-The branch is then unsatisfiable
% 44.55/14.51  																																								|-Branch two:
% 44.55/14.51  																																								| (417)  ~ (all_0_84_84 = e4)
% 44.55/14.51  																																								| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 44.55/14.51  																																								|
% 44.55/14.51  																																									+-Applying beta-rule and splitting (3232), into two cases.
% 44.55/14.51  																																									|-Branch one:
% 44.55/14.51  																																									| (824) all_0_80_80 = e1
% 44.55/14.51  																																									|
% 44.55/14.51  																																										| Equations (824) can reduce 828 to:
% 44.55/14.51  																																										| (311) $false
% 44.55/14.51  																																										|
% 44.55/14.51  																																										|-The branch is then unsatisfiable
% 44.55/14.51  																																									|-Branch two:
% 44.55/14.51  																																									| (828)  ~ (all_0_80_80 = e1)
% 44.55/14.51  																																									| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 44.55/14.51  																																									|
% 44.55/14.51  																																										+-Applying beta-rule and splitting (112), into two cases.
% 44.55/14.51  																																										|-Branch one:
% 44.55/14.51  																																										| (538) all_0_97_97 = e2
% 44.55/14.51  																																										|
% 44.55/14.51  																																											| Equations (538) can reduce 527 to:
% 44.55/14.51  																																											| (311) $false
% 44.55/14.51  																																											|
% 44.55/14.51  																																											|-The branch is then unsatisfiable
% 44.55/14.51  																																										|-Branch two:
% 44.55/14.51  																																										| (527)  ~ (all_0_97_97 = e2)
% 44.55/14.51  																																										| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.55/14.51  																																										|
% 44.55/14.51  																																											+-Applying beta-rule and splitting (4018), into two cases.
% 44.55/14.51  																																											|-Branch one:
% 44.55/14.51  																																											| (416) all_0_80_80 = e3
% 44.55/14.51  																																											|
% 44.55/14.51  																																												| Equations (416) can reduce 49 to:
% 44.55/14.51  																																												| (425)  ~ (all_0_92_92 = e3)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| Simplifying 425 yields:
% 44.55/14.51  																																												| (426)  ~ (all_0_92_92 = e3)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| Equations (416) can reduce 202 to:
% 44.55/14.51  																																												| (427)  ~ (all_0_97_97 = e3)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| Simplifying 427 yields:
% 44.55/14.51  																																												| (428)  ~ (all_0_97_97 = e3)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| Equations (416) can reduce 394 to:
% 44.55/14.51  																																												| (169)  ~ (e3 = e2)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| Equations (416) can reduce 828 to:
% 44.55/14.51  																																												| (20)  ~ (e3 = e1)
% 44.55/14.51  																																												|
% 44.55/14.51  																																												| From (416) and (117) follows:
% 44.55/14.52  																																												| (431) op(e3, e1) = all_0_5_5
% 44.55/14.52  																																												|
% 44.55/14.52  																																												+-Applying beta-rule and splitting (757), into two cases.
% 44.55/14.52  																																												|-Branch one:
% 44.55/14.52  																																												| (758) all_0_90_90 = e0
% 44.55/14.52  																																												|
% 44.55/14.52  																																													| Combining equations (758,18872) yields a new equation:
% 44.55/14.52  																																													| (23096) all_0_16_16 = e0
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Equations (758) can reduce 34 to:
% 44.55/14.52  																																													| (508)  ~ (all_0_93_93 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Simplifying 508 yields:
% 44.55/14.52  																																													| (509)  ~ (all_0_93_93 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Equations (758) can reduce 745 to:
% 44.55/14.52  																																													| (906)  ~ (e3 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Simplifying 906 yields:
% 44.55/14.52  																																													| (50)  ~ (e3 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Equations (758) can reduce 294 to:
% 44.55/14.52  																																													| (510)  ~ (e2 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Simplifying 510 yields:
% 44.55/14.52  																																													| (76)  ~ (e2 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Equations (758) can reduce 678 to:
% 44.55/14.52  																																													| (859)  ~ (e1 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| Simplifying 859 yields:
% 44.55/14.52  																																													| (264)  ~ (e1 = e0)
% 44.55/14.52  																																													|
% 44.55/14.52  																																													| From (758) and (287) follows:
% 44.55/14.52  																																													| (23105) op(e0, e3) = all_0_24_24
% 44.55/14.52  																																													|
% 44.55/14.52  																																													+-Applying beta-rule and splitting (541), into two cases.
% 44.55/14.52  																																													|-Branch one:
% 44.55/14.52  																																													| (542) all_0_97_97 = e1
% 44.55/14.52  																																													|
% 44.55/14.52  																																														| Combining equations (542,18876) yields a new equation:
% 44.55/14.52  																																														| (23107) all_0_18_18 = e1
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Equations (542) can reduce 258 to:
% 44.55/14.52  																																														| (840)  ~ (all_0_92_92 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Equations (542) can reduce 148 to:
% 44.55/14.52  																																														| (1803)  ~ (all_0_98_98 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Simplifying 1803 yields:
% 44.55/14.52  																																														| (1804)  ~ (all_0_98_98 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Equations (542) can reduce 319 to:
% 44.55/14.52  																																														| (681)  ~ (e4 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Simplifying 681 yields:
% 44.55/14.52  																																														| (256)  ~ (e4 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Equations (542) can reduce 428 to:
% 44.55/14.52  																																														| (683)  ~ (e3 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Simplifying 683 yields:
% 44.55/14.52  																																														| (20)  ~ (e3 = e1)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| Equations (542) can reduce 609 to:
% 44.55/14.52  																																														| (264)  ~ (e1 = e0)
% 44.55/14.52  																																														|
% 44.55/14.52  																																														| From (542) and (260) follows:
% 44.55/14.52  																																														| (18969) op(e1, e1) = all_0_37_37
% 44.55/14.52  																																														|
% 44.55/14.52  																																														+-Applying beta-rule and splitting (289), into two cases.
% 44.55/14.52  																																														|-Branch one:
% 44.55/14.52  																																														| (954) all_0_85_85 = e0
% 44.55/14.52  																																														|
% 44.55/14.52  																																															| Combining equations (804,954) yields a new equation:
% 44.55/14.52  																																															| (599) e3 = e0
% 44.55/14.52  																																															|
% 44.55/14.52  																																															| Simplifying 599 yields:
% 44.55/14.52  																																															| (600) e3 = e0
% 44.55/14.52  																																															|
% 44.55/14.52  																																															| Equations (600) can reduce 50 to:
% 44.55/14.52  																																															| (311) $false
% 44.55/14.52  																																															|
% 44.55/14.52  																																															|-The branch is then unsatisfiable
% 44.55/14.52  																																														|-Branch two:
% 44.55/14.52  																																														| (800)  ~ (all_0_85_85 = e0)
% 44.55/14.52  																																														| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.55/14.52  																																														|
% 44.55/14.52  																																															+-Applying beta-rule and splitting (48), into two cases.
% 44.55/14.52  																																															|-Branch one:
% 44.55/14.52  																																															| (525) all_0_98_98 = e2
% 44.55/14.52  																																															|
% 44.55/14.52  																																																| Equations (525) can reduce 1349 to:
% 44.55/14.52  																																																| (311) $false
% 44.55/14.52  																																																|
% 44.55/14.52  																																																|-The branch is then unsatisfiable
% 44.55/14.52  																																															|-Branch two:
% 44.55/14.52  																																															| (1349)  ~ (all_0_98_98 = e2)
% 44.55/14.52  																																															| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.55/14.52  																																															|
% 44.55/14.52  																																																+-Applying beta-rule and splitting (1077), into two cases.
% 44.55/14.52  																																																|-Branch one:
% 44.55/14.52  																																																| (507) all_0_88_88 = e0
% 44.55/14.52  																																																|
% 44.55/14.52  																																																	| Combining equations (370,507) yields a new equation:
% 44.55/14.52  																																																	| (923) e2 = e0
% 44.55/14.52  																																																	|
% 44.55/14.52  																																																	| Simplifying 923 yields:
% 44.55/14.52  																																																	| (379) e2 = e0
% 44.55/14.52  																																																	|
% 44.55/14.52  																																																	| Equations (379) can reduce 76 to:
% 44.55/14.52  																																																	| (311) $false
% 44.55/14.52  																																																	|
% 44.55/14.52  																																																	|-The branch is then unsatisfiable
% 44.55/14.52  																																																|-Branch two:
% 44.55/14.52  																																																| (1110)  ~ (all_0_88_88 = e0)
% 44.55/14.52  																																																| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 44.55/14.52  																																																|
% 44.55/14.52  																																																	+-Applying beta-rule and splitting (132), into two cases.
% 44.55/14.52  																																																	|-Branch one:
% 44.55/14.52  																																																	| (750) all_0_90_90 = e1
% 44.55/14.52  																																																	|
% 44.55/14.52  																																																		| Combining equations (758,750) yields a new equation:
% 44.55/14.52  																																																		| (865) e1 = e0
% 44.55/14.52  																																																		|
% 44.55/14.52  																																																		| Equations (865) can reduce 264 to:
% 44.55/14.52  																																																		| (311) $false
% 44.55/14.52  																																																		|
% 44.55/14.52  																																																		|-The branch is then unsatisfiable
% 44.55/14.52  																																																	|-Branch two:
% 44.55/14.52  																																																	| (678)  ~ (all_0_90_90 = e1)
% 44.55/14.52  																																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.55/14.52  																																																	|
% 44.55/14.52  																																																		+-Applying beta-rule and splitting (108), into two cases.
% 44.55/14.52  																																																		|-Branch one:
% 44.55/14.52  																																																		| (477) all_0_81_81 = e1
% 44.55/14.52  																																																		|
% 44.55/14.52  																																																			| Combining equations (638,477) yields a new equation:
% 44.55/14.52  																																																			| (813) e4 = e1
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																			| Simplifying 813 yields:
% 44.55/14.52  																																																			| (814) e4 = e1
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																			| Equations (814) can reduce 256 to:
% 44.55/14.52  																																																			| (311) $false
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																			|-The branch is then unsatisfiable
% 44.55/14.52  																																																		|-Branch two:
% 44.55/14.52  																																																		| (628)  ~ (all_0_81_81 = e1)
% 44.55/14.52  																																																		| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.55/14.52  																																																		|
% 44.55/14.52  																																																			| Equations (638) can reduce 628 to:
% 44.55/14.52  																																																			| (256)  ~ (e4 = e1)
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																			+-Applying beta-rule and splitting (65), into two cases.
% 44.55/14.52  																																																			|-Branch one:
% 44.55/14.52  																																																			| (522) all_0_93_93 = e2
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																				| Equations (522) can reduce 300 to:
% 44.55/14.52  																																																				| (311) $false
% 44.55/14.52  																																																				|
% 44.55/14.52  																																																				|-The branch is then unsatisfiable
% 44.55/14.52  																																																			|-Branch two:
% 44.55/14.52  																																																			| (300)  ~ (all_0_93_93 = e2)
% 44.55/14.52  																																																			| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.55/14.52  																																																			|
% 44.55/14.52  																																																				+-Applying beta-rule and splitting (5118), into two cases.
% 44.55/14.52  																																																				|-Branch one:
% 44.55/14.52  																																																				| (1543) all_0_98_98 = e1
% 44.55/14.52  																																																				|
% 44.55/14.52  																																																					| Equations (1543) can reduce 1804 to:
% 44.55/14.52  																																																					| (311) $false
% 44.55/14.52  																																																					|
% 44.55/14.52  																																																					|-The branch is then unsatisfiable
% 44.55/14.52  																																																				|-Branch two:
% 44.55/14.52  																																																				| (1804)  ~ (all_0_98_98 = e1)
% 44.55/14.52  																																																				| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.55/14.52  																																																				|
% 44.55/14.52  																																																					+-Applying beta-rule and splitting (119), into two cases.
% 44.55/14.52  																																																					|-Branch one:
% 44.55/14.52  																																																					| (1343) all_0_92_92 = e2
% 44.55/14.52  																																																					|
% 44.55/14.52  																																																						| Equations (1343) can reduce 298 to:
% 44.55/14.52  																																																						| (311) $false
% 44.55/14.52  																																																						|
% 44.55/14.52  																																																						|-The branch is then unsatisfiable
% 44.55/14.52  																																																					|-Branch two:
% 44.55/14.52  																																																					| (298)  ~ (all_0_92_92 = e2)
% 44.55/14.52  																																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.55/14.52  																																																					|
% 44.55/14.52  																																																						+-Applying beta-rule and splitting (5122), into two cases.
% 44.55/14.52  																																																						|-Branch one:
% 44.55/14.52  																																																						| (969) all_0_98_98 = e3
% 44.55/14.52  																																																						|
% 44.55/14.52  																																																							| Equations (969) can reduce 1519 to:
% 44.55/14.52  																																																							| (311) $false
% 44.55/14.52  																																																							|
% 44.55/14.52  																																																							|-The branch is then unsatisfiable
% 44.55/14.52  																																																						|-Branch two:
% 44.55/14.52  																																																						| (1519)  ~ (all_0_98_98 = e3)
% 44.55/14.52  																																																						| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 44.55/14.52  																																																						|
% 44.55/14.52  																																																							+-Applying beta-rule and splitting (441), into two cases.
% 44.55/14.52  																																																							|-Branch one:
% 44.55/14.52  																																																							| (442) all_0_92_92 = e4
% 44.55/14.52  																																																							|
% 44.55/14.52  																																																								| Equations (442) can reduce 283 to:
% 44.55/14.52  																																																								| (495)  ~ (all_0_93_93 = e4)
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								| Simplifying 495 yields:
% 44.55/14.52  																																																								| (496)  ~ (all_0_93_93 = e4)
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								| Equations (442) can reduce 426 to:
% 44.55/14.52  																																																								| (177)  ~ (e4 = e3)
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								| Equations (442) can reduce 298 to:
% 44.55/14.52  																																																								| (79)  ~ (e4 = e2)
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								| Equations (442) can reduce 840 to:
% 44.55/14.52  																																																								| (256)  ~ (e4 = e1)
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								| From (442) and (135) follows:
% 44.55/14.52  																																																								| (449) op(e1, e1) = e4
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																								+-Applying beta-rule and splitting (1111), into two cases.
% 44.55/14.52  																																																								|-Branch one:
% 44.55/14.52  																																																								| (604) all_0_93_93 = e0
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																									| Equations (604) can reduce 509 to:
% 44.55/14.52  																																																									| (311) $false
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									|-The branch is then unsatisfiable
% 44.55/14.52  																																																								|-Branch two:
% 44.55/14.52  																																																								| (509)  ~ (all_0_93_93 = e0)
% 44.55/14.52  																																																								| (1121) all_0_98_98 = e0
% 44.55/14.52  																																																								|
% 44.55/14.52  																																																									| Equations (1121) can reduce 13 to:
% 44.55/14.52  																																																									| (509)  ~ (all_0_93_93 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Equations (1121) can reduce 321 to:
% 44.55/14.52  																																																									| (904)  ~ (e4 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Simplifying 904 yields:
% 44.55/14.52  																																																									| (23)  ~ (e4 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Equations (1121) can reduce 1519 to:
% 44.55/14.52  																																																									| (906)  ~ (e3 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Simplifying 906 yields:
% 44.55/14.52  																																																									| (50)  ~ (e3 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Equations (1121) can reduce 1349 to:
% 44.55/14.52  																																																									| (510)  ~ (e2 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									| Simplifying 510 yields:
% 44.55/14.52  																																																									| (76)  ~ (e2 = e0)
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																									+-Applying beta-rule and splitting (1526), into two cases.
% 44.55/14.52  																																																									|-Branch one:
% 44.55/14.52  																																																									| (801) all_0_91_91 = e1
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																										| Combining equations (801,588) yields a new equation:
% 44.55/14.52  																																																										| (772) e3 = e1
% 44.55/14.52  																																																										|
% 44.55/14.52  																																																										| Equations (772) can reduce 20 to:
% 44.55/14.52  																																																										| (311) $false
% 44.55/14.52  																																																										|
% 44.55/14.52  																																																										|-The branch is then unsatisfiable
% 44.55/14.52  																																																									|-Branch two:
% 44.55/14.52  																																																									| (959)  ~ (all_0_91_91 = e1)
% 44.55/14.52  																																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 44.55/14.52  																																																									|
% 44.55/14.52  																																																										+-Applying beta-rule and splitting (565), into two cases.
% 44.55/14.52  																																																										|-Branch one:
% 44.55/14.52  																																																										| (566) all_0_93_93 = e1
% 44.55/14.52  																																																										|
% 44.55/14.52  																																																											| Equations (566) can reduce 496 to:
% 44.55/14.52  																																																											| (681)  ~ (e4 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Simplifying 681 yields:
% 44.55/14.52  																																																											| (256)  ~ (e4 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Equations (566) can reduce 602 to:
% 44.55/14.52  																																																											| (683)  ~ (e3 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Simplifying 683 yields:
% 44.55/14.52  																																																											| (20)  ~ (e3 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Equations (566) can reduce 300 to:
% 44.55/14.52  																																																											| (487)  ~ (e2 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Simplifying 487 yields:
% 44.55/14.52  																																																											| (243)  ~ (e2 = e1)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Equations (566) can reduce 509 to:
% 44.55/14.52  																																																											| (264)  ~ (e1 = e0)
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| From (566) and (25) follows:
% 44.55/14.52  																																																											| (23192) op(e1, e1) = all_0_28_28
% 44.55/14.52  																																																											|
% 44.55/14.52  																																																											| Instantiating formula (262) with e3, e3, all_0_33_33, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_33_33, yields:
% 44.55/14.53  																																																											| (23193) all_0_13_13 = all_0_33_33
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Instantiating formula (262) with e3, e3, e4, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = e4, yields:
% 44.55/14.53  																																																											| (23194) all_0_13_13 = e4
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Instantiating formula (262) with e3, e1, all_0_5_5, e2 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = e2, yields:
% 44.55/14.53  																																																											| (23195) all_0_5_5 = e2
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Instantiating formula (262) with e1, e1, all_0_37_37, all_0_28_28 and discharging atoms op(e1, e1) = all_0_28_28, op(e1, e1) = all_0_37_37, yields:
% 44.55/14.53  																																																											| (23196) all_0_28_28 = all_0_37_37
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Instantiating formula (262) with e1, e1, e4, all_0_28_28 and discharging atoms op(e1, e1) = all_0_28_28, op(e1, e1) = e4, yields:
% 44.55/14.53  																																																											| (23197) all_0_28_28 = e4
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Instantiating formula (262) with e0, e3, e3, all_0_24_24 and discharging atoms op(e0, e3) = all_0_24_24, op(e0, e3) = e3, yields:
% 44.55/14.53  																																																											| (23198) all_0_24_24 = e3
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Combining equations (23194,23193) yields a new equation:
% 44.55/14.53  																																																											| (23199) all_0_33_33 = e4
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Combining equations (23196,23197) yields a new equation:
% 44.55/14.53  																																																											| (23200) all_0_37_37 = e4
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											| Simplifying 23200 yields:
% 44.55/14.53  																																																											| (23201) all_0_37_37 = e4
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																											+-Applying beta-rule and splitting (251), into two cases.
% 44.55/14.53  																																																											|-Branch one:
% 44.55/14.53  																																																											| (23202) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)) | (all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_33_33 = e0 &  ~ (all_0_32_32 = e3) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_35_35 = e0 &  ~ (all_0_34_34 = e2) &  ~ (all_0_88_88 = all_0_96_96))
% 44.55/14.53  																																																											|
% 44.55/14.53  																																																												+-Applying beta-rule and splitting (23202), into two cases.
% 44.55/14.53  																																																												|-Branch one:
% 44.55/14.54  																																																												| (23203) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)) | (all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_33_33 = e0 &  ~ (all_0_32_32 = e3) &  ~ (all_0_85_85 = all_0_95_95))
% 44.55/14.54  																																																												|
% 44.55/14.54  																																																													+-Applying beta-rule and splitting (23203), into two cases.
% 44.55/14.54  																																																													|-Branch one:
% 44.55/14.54  																																																													| (23204) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)) | (all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94))
% 44.55/14.54  																																																													|
% 44.55/14.54  																																																														+-Applying beta-rule and splitting (23204), into two cases.
% 44.55/14.54  																																																														|-Branch one:
% 44.55/14.54  																																																														| (23205) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97))
% 44.55/14.54  																																																														|
% 44.55/14.54  																																																															+-Applying beta-rule and splitting (23205), into two cases.
% 44.55/14.54  																																																															|-Branch one:
% 44.55/14.54  																																																															| (23206) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91))
% 44.55/14.54  																																																															|
% 44.55/14.54  																																																																+-Applying beta-rule and splitting (23206), into two cases.
% 44.55/14.54  																																																																|-Branch one:
% 44.55/14.54  																																																																| (23207) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90))
% 44.55/14.54  																																																																|
% 44.55/14.54  																																																																	+-Applying beta-rule and splitting (23207), into two cases.
% 44.55/14.54  																																																																	|-Branch one:
% 44.55/14.54  																																																																	| (23208) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)) | (all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89))
% 44.55/14.54  																																																																	|
% 44.55/14.54  																																																																		+-Applying beta-rule and splitting (23208), into two cases.
% 44.55/14.54  																																																																		|-Branch one:
% 44.55/14.54  																																																																		| (23209) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)) | (all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96))
% 44.55/14.54  																																																																		|
% 44.55/14.54  																																																																			+-Applying beta-rule and splitting (23209), into two cases.
% 44.55/14.54  																																																																			|-Branch one:
% 44.55/14.54  																																																																			| (23210) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91))
% 44.55/14.54  																																																																			|
% 44.55/14.55  																																																																				+-Applying beta-rule and splitting (23210), into two cases.
% 44.55/14.55  																																																																				|-Branch one:
% 44.55/14.55  																																																																				| (23211) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)) | (all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86))
% 44.55/14.55  																																																																				|
% 44.55/14.55  																																																																					+-Applying beta-rule and splitting (23211), into two cases.
% 44.55/14.55  																																																																					|-Branch one:
% 44.55/14.55  																																																																					| (23212) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)) | (all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95))
% 44.55/14.55  																																																																					|
% 44.55/14.55  																																																																						+-Applying beta-rule and splitting (23212), into two cases.
% 44.55/14.55  																																																																						|-Branch one:
% 44.55/14.55  																																																																						| (23213) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)) | (all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90))
% 44.55/14.55  																																																																						|
% 44.55/14.55  																																																																							+-Applying beta-rule and splitting (23213), into two cases.
% 44.55/14.55  																																																																							|-Branch one:
% 44.55/14.55  																																																																							| (23214) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)) | (all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86))
% 44.55/14.55  																																																																							|
% 44.55/14.55  																																																																								+-Applying beta-rule and splitting (23214), into two cases.
% 44.55/14.55  																																																																								|-Branch one:
% 44.55/14.55  																																																																								| (23215) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)) | (all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94))
% 44.55/14.55  																																																																								|
% 44.55/14.55  																																																																									+-Applying beta-rule and splitting (23215), into two cases.
% 44.55/14.55  																																																																									|-Branch one:
% 44.55/14.55  																																																																									| (23216) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)) | (all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89))
% 44.55/14.55  																																																																									|
% 44.55/14.55  																																																																										+-Applying beta-rule and splitting (23216), into two cases.
% 44.55/14.55  																																																																										|-Branch one:
% 44.55/14.55  																																																																										| (23217) (all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)) | (all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3))
% 44.55/14.55  																																																																										|
% 44.55/14.55  																																																																											+-Applying beta-rule and splitting (23217), into two cases.
% 44.55/14.55  																																																																											|-Branch one:
% 44.55/14.55  																																																																											| (23218) all_0_1_1 = e4 &  ~ (all_0_0_0 = e3) &  ~ (all_0_78_78 = e1)
% 44.55/14.55  																																																																											|
% 44.55/14.55  																																																																												| Applying alpha-rule on (23218) yields:
% 44.55/14.56  																																																																												| (23219) all_0_1_1 = e4
% 44.55/14.56  																																																																												| (23220)  ~ (all_0_0_0 = e3)
% 44.55/14.56  																																																																												| (1601)  ~ (all_0_78_78 = e1)
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Combining equations (23219,22971) yields a new equation:
% 44.55/14.56  																																																																												| (813) e4 = e1
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Simplifying 813 yields:
% 44.55/14.56  																																																																												| (814) e4 = e1
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Equations (814) can reduce 256 to:
% 44.55/14.56  																																																																												| (311) $false
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												|-The branch is then unsatisfiable
% 44.55/14.56  																																																																											|-Branch two:
% 44.55/14.56  																																																																											| (23225) all_0_3_3 = e4 &  ~ (all_0_2_2 = e2) &  ~ (all_0_79_79 = e3)
% 44.55/14.56  																																																																											|
% 44.55/14.56  																																																																												| Applying alpha-rule on (23225) yields:
% 44.55/14.56  																																																																												| (23226) all_0_3_3 = e4
% 44.55/14.56  																																																																												| (23227)  ~ (all_0_2_2 = e2)
% 44.55/14.56  																																																																												| (1711)  ~ (all_0_79_79 = e3)
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Combining equations (23226,22894) yields a new equation:
% 44.55/14.56  																																																																												| (790) e4 = e3
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Simplifying 790 yields:
% 44.55/14.56  																																																																												| (434) e4 = e3
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												| Equations (434) can reduce 177 to:
% 44.55/14.56  																																																																												| (311) $false
% 44.55/14.56  																																																																												|
% 44.55/14.56  																																																																												|-The branch is then unsatisfiable
% 44.55/14.56  																																																																										|-Branch two:
% 44.55/14.56  																																																																										| (23232) all_0_5_5 = e4 &  ~ (all_0_4_4 = e1) &  ~ (all_0_80_80 = all_0_89_89)
% 44.55/14.56  																																																																										|
% 44.64/14.56  																																																																											| Applying alpha-rule on (23232) yields:
% 44.64/14.56  																																																																											| (23233) all_0_5_5 = e4
% 44.64/14.57  																																																																											| (23234)  ~ (all_0_4_4 = e1)
% 44.64/14.57  																																																																											| (23235)  ~ (all_0_80_80 = all_0_89_89)
% 44.64/14.57  																																																																											|
% 44.64/14.57  																																																																											| Combining equations (23233,23195) yields a new equation:
% 44.64/14.57  																																																																											| (309) e4 = e2
% 44.64/14.57  																																																																											|
% 44.64/14.57  																																																																											| Simplifying 309 yields:
% 44.64/14.57  																																																																											| (310) e4 = e2
% 44.64/14.57  																																																																											|
% 44.64/14.57  																																																																											| Equations (310) can reduce 79 to:
% 44.64/14.57  																																																																											| (311) $false
% 44.64/14.57  																																																																											|
% 44.64/14.57  																																																																											|-The branch is then unsatisfiable
% 44.64/14.57  																																																																									|-Branch two:
% 44.64/14.57  																																																																									| (23239) all_0_7_7 = e4 &  ~ (all_0_6_6 = e0) &  ~ (all_0_81_81 = all_0_94_94)
% 44.64/14.57  																																																																									|
% 44.64/14.57  																																																																										| Applying alpha-rule on (23239) yields:
% 44.64/14.57  																																																																										| (23240) all_0_7_7 = e4
% 44.64/14.57  																																																																										| (23241)  ~ (all_0_6_6 = e0)
% 44.64/14.57  																																																																										| (23242)  ~ (all_0_81_81 = all_0_94_94)
% 44.64/14.57  																																																																										|
% 44.64/14.57  																																																																										| Equations (638,313) can reduce 23242 to:
% 44.64/14.57  																																																																										| (311) $false
% 44.64/14.57  																																																																										|
% 44.64/14.57  																																																																										|-The branch is then unsatisfiable
% 44.64/14.57  																																																																								|-Branch two:
% 44.64/14.57  																																																																								| (23244) all_0_10_10 = e3 &  ~ (all_0_9_9 = e2) &  ~ (all_0_83_83 = all_0_86_86)
% 44.64/14.57  																																																																								|
% 44.64/14.57  																																																																									| Applying alpha-rule on (23244) yields:
% 44.64/14.58  																																																																									| (23245) all_0_10_10 = e3
% 44.64/14.58  																																																																									| (23246)  ~ (all_0_9_9 = e2)
% 44.64/14.58  																																																																									| (23247)  ~ (all_0_83_83 = all_0_86_86)
% 44.64/14.58  																																																																									|
% 44.64/14.58  																																																																									| Combining equations (23245,22916) yields a new equation:
% 44.64/14.58  																																																																									| (547) e3 = e2
% 44.64/14.58  																																																																									|
% 44.64/14.58  																																																																									| Simplifying 547 yields:
% 44.64/14.58  																																																																									| (548) e3 = e2
% 44.64/14.58  																																																																									|
% 44.64/14.58  																																																																									| Equations (548) can reduce 169 to:
% 44.64/14.58  																																																																									| (311) $false
% 44.64/14.58  																																																																									|
% 44.64/14.58  																																																																									|-The branch is then unsatisfiable
% 44.64/14.58  																																																																							|-Branch two:
% 44.64/14.58  																																																																							| (23251) all_0_12_12 = e3 &  ~ (all_0_11_11 = e1) &  ~ (all_0_84_84 = all_0_90_90)
% 44.64/14.58  																																																																							|
% 44.64/14.58  																																																																								| Applying alpha-rule on (23251) yields:
% 44.64/14.58  																																																																								| (23252) all_0_12_12 = e3
% 44.64/14.58  																																																																								| (23253)  ~ (all_0_11_11 = e1)
% 44.64/14.58  																																																																								| (23254)  ~ (all_0_84_84 = all_0_90_90)
% 44.64/14.58  																																																																								|
% 44.64/14.58  																																																																								| Combining equations (23252,22973) yields a new equation:
% 44.64/14.58  																																																																								| (599) e3 = e0
% 44.64/14.58  																																																																								|
% 44.64/14.58  																																																																								| Simplifying 599 yields:
% 44.64/14.58  																																																																								| (600) e3 = e0
% 44.64/14.58  																																																																								|
% 44.64/14.58  																																																																								| Equations (600) can reduce 50 to:
% 44.64/14.58  																																																																								| (311) $false
% 44.64/14.58  																																																																								|
% 44.64/14.58  																																																																								|-The branch is then unsatisfiable
% 44.64/14.58  																																																																						|-Branch two:
% 44.64/14.58  																																																																						| (23258) all_0_14_14 = e3 &  ~ (all_0_13_13 = e0) &  ~ (all_0_85_85 = all_0_95_95)
% 44.64/14.58  																																																																						|
% 44.64/14.59  																																																																							| Applying alpha-rule on (23258) yields:
% 44.64/14.59  																																																																							| (23259) all_0_14_14 = e3
% 44.64/14.59  																																																																							| (23260)  ~ (all_0_13_13 = e0)
% 44.64/14.59  																																																																							| (23261)  ~ (all_0_85_85 = all_0_95_95)
% 44.64/14.59  																																																																							|
% 44.64/14.59  																																																																							| Equations (804,744) can reduce 23261 to:
% 44.64/14.59  																																																																							| (311) $false
% 44.64/14.59  																																																																							|
% 44.64/14.59  																																																																							|-The branch is then unsatisfiable
% 44.64/14.59  																																																																					|-Branch two:
% 44.66/14.59  																																																																					| (23263) all_0_16_16 = e2 &  ~ (all_0_15_15 = e3) &  ~ (all_0_83_83 = all_0_86_86)
% 44.66/14.59  																																																																					|
% 44.66/14.59  																																																																						| Applying alpha-rule on (23263) yields:
% 44.66/14.59  																																																																						| (364) all_0_16_16 = e2
% 44.66/14.59  																																																																						| (23265)  ~ (all_0_15_15 = e3)
% 44.66/14.59  																																																																						| (23247)  ~ (all_0_83_83 = all_0_86_86)
% 44.66/14.59  																																																																						|
% 44.66/14.59  																																																																						| Combining equations (364,23096) yields a new equation:
% 44.66/14.59  																																																																						| (923) e2 = e0
% 44.66/14.59  																																																																						|
% 44.66/14.59  																																																																						| Simplifying 923 yields:
% 44.66/14.59  																																																																						| (379) e2 = e0
% 44.66/14.59  																																																																						|
% 44.66/14.59  																																																																						| Equations (379) can reduce 76 to:
% 44.66/14.59  																																																																						| (311) $false
% 44.66/14.59  																																																																						|
% 44.66/14.59  																																																																						|-The branch is then unsatisfiable
% 44.66/14.59  																																																																				|-Branch two:
% 44.66/14.59  																																																																				| (23270) all_0_18_18 = e2 &  ~ (all_0_17_17 = e1) &  ~ (all_0_87_87 = all_0_91_91)
% 44.66/14.59  																																																																				|
% 44.66/14.59  																																																																					| Applying alpha-rule on (23270) yields:
% 44.66/14.59  																																																																					| (9534) all_0_18_18 = e2
% 44.66/14.60  																																																																					| (23272)  ~ (all_0_17_17 = e1)
% 44.66/14.60  																																																																					| (23273)  ~ (all_0_87_87 = all_0_91_91)
% 44.66/14.60  																																																																					|
% 44.66/14.60  																																																																					| Combining equations (9534,23107) yields a new equation:
% 44.66/14.60  																																																																					| (408) e2 = e1
% 44.66/14.60  																																																																					|
% 44.66/14.60  																																																																					| Simplifying 408 yields:
% 44.66/14.60  																																																																					| (385) e2 = e1
% 44.66/14.60  																																																																					|
% 44.66/14.60  																																																																					| Equations (385) can reduce 243 to:
% 44.66/14.60  																																																																					| (311) $false
% 44.66/14.60  																																																																					|
% 44.66/14.60  																																																																					|-The branch is then unsatisfiable
% 44.66/14.60  																																																																			|-Branch two:
% 44.66/14.60  																																																																			| (23277) all_0_20_20 = e2 &  ~ (all_0_19_19 = e0) &  ~ (all_0_88_88 = all_0_96_96)
% 44.66/14.60  																																																																			|
% 44.66/14.60  																																																																				| Applying alpha-rule on (23277) yields:
% 44.66/14.60  																																																																				| (18822) all_0_20_20 = e2
% 44.66/14.60  																																																																				| (23279)  ~ (all_0_19_19 = e0)
% 44.66/14.60  																																																																				| (23280)  ~ (all_0_88_88 = all_0_96_96)
% 44.66/14.60  																																																																				|
% 44.66/14.60  																																																																				| Equations (370,1704) can reduce 23280 to:
% 44.66/14.60  																																																																				| (311) $false
% 44.66/14.60  																																																																				|
% 44.66/14.60  																																																																				|-The branch is then unsatisfiable
% 44.66/14.60  																																																																		|-Branch two:
% 44.66/14.60  																																																																		| (23282) all_0_22_22 = e1 &  ~ (all_0_21_21 = e4) &  ~ (all_0_80_80 = all_0_89_89)
% 44.66/14.60  																																																																		|
% 44.66/14.60  																																																																			| Applying alpha-rule on (23282) yields:
% 44.66/14.60  																																																																			| (23283) all_0_22_22 = e1
% 44.66/14.61  																																																																			| (23284)  ~ (all_0_21_21 = e4)
% 44.66/14.61  																																																																			| (23235)  ~ (all_0_80_80 = all_0_89_89)
% 44.66/14.61  																																																																			|
% 44.66/14.61  																																																																			| Combining equations (23283,333) yields a new equation:
% 44.66/14.61  																																																																			| (772) e3 = e1
% 44.66/14.61  																																																																			|
% 44.66/14.61  																																																																			| Equations (772) can reduce 20 to:
% 44.66/14.61  																																																																			| (311) $false
% 44.66/14.61  																																																																			|
% 44.66/14.61  																																																																			|-The branch is then unsatisfiable
% 44.66/14.61  																																																																	|-Branch two:
% 44.66/14.61  																																																																	| (23288) all_0_24_24 = e1 &  ~ (all_0_23_23 = e3) &  ~ (all_0_84_84 = all_0_90_90)
% 44.66/14.61  																																																																	|
% 44.66/14.61  																																																																		| Applying alpha-rule on (23288) yields:
% 44.66/14.61  																																																																		| (23289) all_0_24_24 = e1
% 44.66/14.61  																																																																		| (23290)  ~ (all_0_23_23 = e3)
% 44.66/14.61  																																																																		| (23254)  ~ (all_0_84_84 = all_0_90_90)
% 44.66/14.61  																																																																		|
% 44.66/14.61  																																																																		| Combining equations (23289,23198) yields a new equation:
% 44.66/14.61  																																																																		| (772) e3 = e1
% 44.66/14.61  																																																																		|
% 44.66/14.61  																																																																		| Equations (772) can reduce 20 to:
% 44.66/14.61  																																																																		| (311) $false
% 44.66/14.61  																																																																		|
% 44.66/14.61  																																																																		|-The branch is then unsatisfiable
% 44.66/14.61  																																																																|-Branch two:
% 44.66/14.61  																																																																| (23294) all_0_26_26 = e1 &  ~ (all_0_25_25 = e2) &  ~ (all_0_87_87 = all_0_91_91)
% 44.66/14.61  																																																																|
% 44.66/14.61  																																																																	| Applying alpha-rule on (23294) yields:
% 44.66/14.61  																																																																	| (19005) all_0_26_26 = e1
% 44.66/14.62  																																																																	| (23296)  ~ (all_0_25_25 = e2)
% 44.66/14.62  																																																																	| (23273)  ~ (all_0_87_87 = all_0_91_91)
% 44.66/14.62  																																																																	|
% 44.66/14.62  																																																																	| Combining equations (19005,22910) yields a new equation:
% 44.66/14.62  																																																																	| (1107) e1 = e0
% 44.66/14.62  																																																																	|
% 44.66/14.62  																																																																	| Simplifying 1107 yields:
% 44.66/14.62  																																																																	| (865) e1 = e0
% 44.66/14.62  																																																																	|
% 44.66/14.62  																																																																	| Equations (865) can reduce 264 to:
% 44.66/14.62  																																																																	| (311) $false
% 44.66/14.62  																																																																	|
% 44.66/14.62  																																																																	|-The branch is then unsatisfiable
% 44.66/14.62  																																																															|-Branch two:
% 44.66/14.62  																																																															| (23301) all_0_29_29 = e1 &  ~ (all_0_28_28 = e0) &  ~ (all_0_93_93 = all_0_97_97)
% 44.66/14.62  																																																															|
% 44.66/14.62  																																																																| Applying alpha-rule on (23301) yields:
% 44.66/14.62  																																																																| (3941) all_0_29_29 = e1
% 44.66/14.62  																																																																| (23303)  ~ (all_0_28_28 = e0)
% 44.66/14.62  																																																																| (23304)  ~ (all_0_93_93 = all_0_97_97)
% 44.66/14.62  																																																																|
% 44.66/14.62  																																																																| Equations (566,542) can reduce 23304 to:
% 44.66/14.62  																																																																| (311) $false
% 44.66/14.62  																																																																|
% 44.66/14.62  																																																																|-The branch is then unsatisfiable
% 44.66/14.62  																																																														|-Branch two:
% 44.66/14.62  																																																														| (23306) all_0_31_31 = e0 &  ~ (all_0_30_30 = e4) &  ~ (all_0_81_81 = all_0_94_94)
% 44.66/14.62  																																																														|
% 44.66/14.62  																																																															| Applying alpha-rule on (23306) yields:
% 44.66/14.62  																																																															| (329) all_0_31_31 = e0
% 44.66/14.62  																																																															| (23308)  ~ (all_0_30_30 = e4)
% 44.66/14.63  																																																															| (23242)  ~ (all_0_81_81 = all_0_94_94)
% 44.66/14.63  																																																															|
% 44.66/14.63  																																																															| Equations (638,313) can reduce 23242 to:
% 44.66/14.63  																																																															| (311) $false
% 44.66/14.63  																																																															|
% 44.66/14.63  																																																															|-The branch is then unsatisfiable
% 44.66/14.63  																																																													|-Branch two:
% 44.66/14.63  																																																													| (23311) all_0_33_33 = e0 &  ~ (all_0_32_32 = e3) &  ~ (all_0_85_85 = all_0_95_95)
% 44.66/14.63  																																																													|
% 44.66/14.63  																																																														| Applying alpha-rule on (23311) yields:
% 44.66/14.63  																																																														| (23312) all_0_33_33 = e0
% 44.66/14.63  																																																														| (23313)  ~ (all_0_32_32 = e3)
% 44.66/14.63  																																																														| (23261)  ~ (all_0_85_85 = all_0_95_95)
% 44.66/14.63  																																																														|
% 44.66/14.63  																																																														| Combining equations (23199,23312) yields a new equation:
% 44.66/14.63  																																																														| (911) e4 = e0
% 44.66/14.63  																																																														|
% 44.66/14.63  																																																														| Simplifying 911 yields:
% 44.66/14.63  																																																														| (912) e4 = e0
% 44.66/14.63  																																																														|
% 44.66/14.63  																																																														| Equations (912) can reduce 23 to:
% 44.66/14.63  																																																														| (311) $false
% 44.66/14.63  																																																														|
% 44.66/14.63  																																																														|-The branch is then unsatisfiable
% 44.66/14.63  																																																												|-Branch two:
% 44.66/14.63  																																																												| (23318) all_0_35_35 = e0 &  ~ (all_0_34_34 = e2) &  ~ (all_0_88_88 = all_0_96_96)
% 44.66/14.63  																																																												|
% 44.66/14.63  																																																													| Applying alpha-rule on (23318) yields:
% 44.66/14.63  																																																													| (23319) all_0_35_35 = e0
% 44.66/14.63  																																																													| (23320)  ~ (all_0_34_34 = e2)
% 44.66/14.64  																																																													| (23280)  ~ (all_0_88_88 = all_0_96_96)
% 44.66/14.64  																																																													|
% 44.66/14.64  																																																													| Combining equations (8078,23319) yields a new equation:
% 44.66/14.64  																																																													| (911) e4 = e0
% 44.66/14.64  																																																													|
% 44.66/14.64  																																																													| Simplifying 911 yields:
% 44.66/14.64  																																																													| (912) e4 = e0
% 44.66/14.64  																																																													|
% 44.66/14.64  																																																													| Equations (912) can reduce 23 to:
% 44.66/14.64  																																																													| (311) $false
% 44.66/14.64  																																																													|
% 44.66/14.64  																																																													|-The branch is then unsatisfiable
% 44.66/14.64  																																																											|-Branch two:
% 44.66/14.64  																																																											| (23325) all_0_37_37 = e0 &  ~ (all_0_36_36 = e1) &  ~ (all_0_93_93 = all_0_97_97)
% 44.66/14.64  																																																											|
% 44.66/14.64  																																																												| Applying alpha-rule on (23325) yields:
% 44.71/14.64  																																																												| (23326) all_0_37_37 = e0
% 44.71/14.64  																																																												| (23327)  ~ (all_0_36_36 = e1)
% 44.71/14.64  																																																												| (23304)  ~ (all_0_93_93 = all_0_97_97)
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												| Combining equations (23201,23326) yields a new equation:
% 44.71/14.64  																																																												| (911) e4 = e0
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												| Simplifying 911 yields:
% 44.71/14.64  																																																												| (912) e4 = e0
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												| Equations (912) can reduce 23 to:
% 44.71/14.64  																																																												| (311) $false
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												|-The branch is then unsatisfiable
% 44.71/14.64  																																																										|-Branch two:
% 44.71/14.64  																																																										| (481)  ~ (all_0_93_93 = e1)
% 44.71/14.64  																																																										| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 44.71/14.64  																																																										|
% 44.71/14.64  																																																											+-Applying beta-rule and splitting (1556), into two cases.
% 44.71/14.64  																																																											|-Branch one:
% 44.71/14.64  																																																											| (836) all_0_92_92 = e1
% 44.71/14.64  																																																											|
% 44.71/14.64  																																																												| Combining equations (836,442) yields a new equation:
% 44.71/14.64  																																																												| (814) e4 = e1
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												| Equations (814) can reduce 256 to:
% 44.71/14.64  																																																												| (311) $false
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												|-The branch is then unsatisfiable
% 44.71/14.64  																																																											|-Branch two:
% 44.71/14.64  																																																											| (840)  ~ (all_0_92_92 = e1)
% 44.71/14.64  																																																											| (566) all_0_93_93 = e1
% 44.71/14.64  																																																											|
% 44.71/14.64  																																																												| Equations (566) can reduce 481 to:
% 44.71/14.64  																																																												| (311) $false
% 44.71/14.64  																																																												|
% 44.71/14.64  																																																												|-The branch is then unsatisfiable
% 44.71/14.64  																																																							|-Branch two:
% 44.71/14.64  																																																							| (1619)  ~ (all_0_92_92 = e4)
% 44.71/14.64  																																																							| (610) all_0_97_97 = e4
% 44.71/14.64  																																																							|
% 44.71/14.64  																																																								| Combining equations (610,542) yields a new equation:
% 44.71/14.64  																																																								| (813) e4 = e1
% 44.71/14.64  																																																								|
% 44.71/14.64  																																																								| Simplifying 813 yields:
% 44.71/14.64  																																																								| (814) e4 = e1
% 44.71/14.64  																																																								|
% 44.71/14.64  																																																								| Equations (814) can reduce 256 to:
% 44.71/14.64  																																																								| (311) $false
% 44.71/14.64  																																																								|
% 44.71/14.64  																																																								|-The branch is then unsatisfiable
% 44.71/14.64  																																													|-Branch two:
% 44.71/14.64  																																													| (486)  ~ (all_0_97_97 = e1)
% 44.71/14.64  																																													| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.71/14.64  																																													|
% 44.71/14.64  																																														+-Applying beta-rule and splitting (1921), into two cases.
% 44.71/14.64  																																														|-Branch one:
% 44.71/14.64  																																														| (1837) all_0_96_96 = e0
% 44.71/14.64  																																														|
% 44.71/14.64  																																															| Combining equations (1837,1704) yields a new equation:
% 44.71/14.64  																																															| (379) e2 = e0
% 44.71/14.64  																																															|
% 44.71/14.64  																																															| Equations (379) can reduce 76 to:
% 44.71/14.64  																																															| (311) $false
% 44.71/14.64  																																															|
% 44.71/14.64  																																															|-The branch is then unsatisfiable
% 44.71/14.64  																																														|-Branch two:
% 44.71/14.64  																																														| (2095)  ~ (all_0_96_96 = e0)
% 44.71/14.64  																																														| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.71/14.64  																																														|
% 44.71/14.64  																																															+-Applying beta-rule and splitting (176), into two cases.
% 44.71/14.64  																																															|-Branch one:
% 44.71/14.64  																																															| (785) all_0_95_95 = e1
% 44.71/14.64  																																															|
% 44.71/14.64  																																																| Combining equations (785,744) yields a new equation:
% 44.71/14.64  																																																| (772) e3 = e1
% 44.71/14.64  																																																|
% 44.71/14.64  																																																| Equations (772) can reduce 20 to:
% 44.71/14.64  																																																| (311) $false
% 44.71/14.64  																																																|
% 44.71/14.64  																																																|-The branch is then unsatisfiable
% 44.71/14.64  																																															|-Branch two:
% 44.71/14.64  																																															| (680)  ~ (all_0_95_95 = e1)
% 44.71/14.64  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.71/14.64  																																															|
% 44.71/14.64  																																																| Equations (744) can reduce 680 to:
% 44.71/14.64  																																																| (20)  ~ (e3 = e1)
% 44.71/14.64  																																																|
% 44.71/14.64  																																																+-Applying beta-rule and splitting (151), into two cases.
% 44.71/14.64  																																																|-Branch one:
% 44.71/14.64  																																																| (824) all_0_80_80 = e1
% 44.71/14.64  																																																|
% 44.71/14.64  																																																	| Combining equations (416,824) yields a new equation:
% 44.71/14.65  																																																	| (825) e3 = e1
% 44.71/14.65  																																																	|
% 44.71/14.65  																																																	| Simplifying 825 yields:
% 44.71/14.65  																																																	| (772) e3 = e1
% 44.71/14.65  																																																	|
% 44.71/14.65  																																																	| Equations (772) can reduce 20 to:
% 44.71/14.65  																																																	| (311) $false
% 44.71/14.65  																																																	|
% 44.71/14.65  																																																	|-The branch is then unsatisfiable
% 44.71/14.65  																																																|-Branch two:
% 44.71/14.65  																																																| (828)  ~ (all_0_80_80 = e1)
% 44.71/14.65  																																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.71/14.65  																																																|
% 44.71/14.65  																																																	+-Applying beta-rule and splitting (788), into two cases.
% 44.71/14.65  																																																	|-Branch one:
% 44.71/14.65  																																																	| (960) all_0_96_96 = e1
% 44.71/14.65  																																																	|
% 44.71/14.65  																																																		| Combining equations (960,1704) yields a new equation:
% 44.71/14.65  																																																		| (385) e2 = e1
% 44.71/14.65  																																																		|
% 44.71/14.65  																																																		| Equations (385) can reduce 243 to:
% 44.71/14.65  																																																		| (311) $false
% 44.71/14.65  																																																		|
% 44.71/14.65  																																																		|-The branch is then unsatisfiable
% 44.71/14.65  																																																	|-Branch two:
% 44.71/14.65  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 44.71/14.65  																																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.71/14.65  																																																	|
% 44.71/14.65  																																																		+-Applying beta-rule and splitting (2096), into two cases.
% 44.71/14.65  																																																		|-Branch one:
% 44.71/14.65  																																																		| (560) all_0_97_97 = e0
% 44.71/14.65  																																																		|
% 44.71/14.65  																																																			| Equations (560) can reduce 609 to:
% 44.71/14.65  																																																			| (311) $false
% 44.71/14.65  																																																			|
% 44.71/14.65  																																																			|-The branch is then unsatisfiable
% 44.71/14.65  																																																		|-Branch two:
% 44.71/14.65  																																																		| (609)  ~ (all_0_97_97 = e0)
% 44.71/14.65  																																																		| (1121) all_0_98_98 = e0
% 44.71/14.65  																																																		|
% 44.71/14.65  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 44.71/14.65  																																																			|-Branch one:
% 44.71/14.65  																																																			| (482) all_0_87_87 = e1
% 44.71/14.65  																																																			|
% 44.71/14.65  																																																				| Combining equations (482,861) yields a new equation:
% 44.71/14.65  																																																				| (1107) e1 = e0
% 44.71/14.65  																																																				|
% 44.71/14.65  																																																				| Simplifying 1107 yields:
% 44.71/14.65  																																																				| (865) e1 = e0
% 44.71/14.65  																																																				|
% 44.71/14.65  																																																				| Equations (865) can reduce 264 to:
% 44.71/14.65  																																																				| (311) $false
% 44.71/14.65  																																																				|
% 44.71/14.65  																																																				|-The branch is then unsatisfiable
% 44.71/14.65  																																																			|-Branch two:
% 44.71/14.65  																																																			| (625)  ~ (all_0_87_87 = e1)
% 44.71/14.65  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.71/14.65  																																																			|
% 44.71/14.65  																																																				| Equations (861) can reduce 625 to:
% 44.72/14.65  																																																				| (859)  ~ (e1 = e0)
% 44.72/14.65  																																																				|
% 44.72/14.65  																																																				| Simplifying 859 yields:
% 44.72/14.65  																																																				| (264)  ~ (e1 = e0)
% 44.72/14.65  																																																				|
% 44.72/14.65  																																																				+-Applying beta-rule and splitting (132), into two cases.
% 44.72/14.65  																																																				|-Branch one:
% 44.72/14.65  																																																				| (750) all_0_90_90 = e1
% 44.72/14.65  																																																				|
% 44.72/14.65  																																																					| Combining equations (750,758) yields a new equation:
% 44.72/14.65  																																																					| (1107) e1 = e0
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																					| Simplifying 1107 yields:
% 44.72/14.65  																																																					| (865) e1 = e0
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																					| Equations (865) can reduce 264 to:
% 44.72/14.65  																																																					| (311) $false
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																					|-The branch is then unsatisfiable
% 44.72/14.65  																																																				|-Branch two:
% 44.72/14.65  																																																				| (678)  ~ (all_0_90_90 = e1)
% 44.72/14.65  																																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 44.72/14.65  																																																				|
% 44.72/14.65  																																																					| Equations (758) can reduce 678 to:
% 44.72/14.65  																																																					| (859)  ~ (e1 = e0)
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																					| Simplifying 859 yields:
% 44.72/14.65  																																																					| (264)  ~ (e1 = e0)
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																					+-Applying beta-rule and splitting (2126), into two cases.
% 44.72/14.65  																																																					|-Branch one:
% 44.72/14.65  																																																					| (542) all_0_97_97 = e1
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																						| Equations (542) can reduce 486 to:
% 44.72/14.65  																																																						| (311) $false
% 44.72/14.65  																																																						|
% 44.72/14.65  																																																						|-The branch is then unsatisfiable
% 44.72/14.65  																																																					|-Branch two:
% 44.72/14.65  																																																					| (486)  ~ (all_0_97_97 = e1)
% 44.72/14.65  																																																					| (1543) all_0_98_98 = e1
% 44.72/14.65  																																																					|
% 44.72/14.65  																																																						| Combining equations (1543,1121) yields a new equation:
% 44.72/14.65  																																																						| (1107) e1 = e0
% 44.72/14.65  																																																						|
% 44.72/14.65  																																																						| Simplifying 1107 yields:
% 44.72/14.65  																																																						| (865) e1 = e0
% 44.72/14.65  																																																						|
% 44.72/14.65  																																																						| Equations (865) can reduce 264 to:
% 44.72/14.65  																																																						| (311) $false
% 44.72/14.65  																																																						|
% 44.72/14.65  																																																						|-The branch is then unsatisfiable
% 44.72/14.65  																																												|-Branch two:
% 44.72/14.65  																																												| (762)  ~ (all_0_90_90 = e0)
% 44.72/14.65  																																												| (583) all_0_90_90 = e4
% 44.72/14.65  																																												|
% 44.72/14.65  																																													| Equations (583) can reduce 467 to:
% 44.72/14.65  																																													| (311) $false
% 44.72/14.65  																																													|
% 44.72/14.65  																																													|-The branch is then unsatisfiable
% 44.72/14.65  																																											|-Branch two:
% 44.72/14.65  																																											| (2347)  ~ (all_0_80_80 = e3)
% 44.72/14.65  																																											| (433) all_0_80_80 = e4
% 44.72/14.65  																																											|
% 44.72/14.65  																																												| Equations (433) can reduce 436 to:
% 44.72/14.65  																																												| (311) $false
% 44.72/14.65  																																												|
% 44.72/14.65  																																												|-The branch is then unsatisfiable
% 44.72/14.65  																														|-Branch two:
% 44.72/14.65  																														| (952)  ~ (all_0_85_85 = e3)
% 44.72/14.65  																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 44.72/14.65  																														|
% 44.72/14.65  																															+-Applying beta-rule and splitting (953), into two cases.
% 44.72/14.65  																															|-Branch one:
% 44.72/14.65  																															| (954) all_0_85_85 = e0
% 44.72/14.65  																															|
% 44.72/14.65  																																| Equations (954) can reduce 800 to:
% 44.72/14.65  																																| (311) $false
% 44.72/14.65  																																|
% 44.72/14.65  																																|-The branch is then unsatisfiable
% 44.72/14.65  																															|-Branch two:
% 44.72/14.65  																															| (800)  ~ (all_0_85_85 = e0)
% 44.72/14.65  																															| (493) all_0_85_85 = e4
% 44.72/14.65  																															|
% 44.72/14.65  																																| Equations (493) can reduce 648 to:
% 44.72/14.65  																																| (311) $false
% 44.72/14.65  																																|
% 44.72/14.65  																																|-The branch is then unsatisfiable
% 44.72/14.65  																								|-Branch two:
% 44.72/14.65  																								| (465)  ~ (all_0_82_82 = e4)
% 44.72/14.65  																								| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.72/14.65  																								|
% 44.72/14.65  																									+-Applying beta-rule and splitting (4), into two cases.
% 44.72/14.65  																									|-Branch one:
% 44.72/14.65  																									| (463) all_0_78_78 = e4
% 44.72/14.65  																									|
% 44.72/14.65  																										| Combining equations (400,463) yields a new equation:
% 44.72/14.65  																										| (310) e4 = e2
% 44.72/14.65  																										|
% 44.72/14.65  																										| Equations (310) can reduce 79 to:
% 44.72/14.65  																										| (311) $false
% 44.72/14.65  																										|
% 44.72/14.65  																										|-The branch is then unsatisfiable
% 44.72/14.65  																									|-Branch two:
% 44.72/14.65  																									| (640)  ~ (all_0_78_78 = e4)
% 44.72/14.65  																									| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.72/14.65  																									|
% 44.72/14.65  																										| Equations (400) can reduce 640 to:
% 44.72/14.65  																										| (528)  ~ (e4 = e2)
% 44.72/14.65  																										|
% 44.72/14.65  																										| Simplifying 528 yields:
% 44.72/14.65  																										| (79)  ~ (e4 = e2)
% 44.72/14.65  																										|
% 44.72/14.65  																										+-Applying beta-rule and splitting (10), into two cases.
% 44.72/14.65  																										|-Branch one:
% 44.72/14.65  																										| (530) all_0_82_82 = e2
% 44.72/14.65  																										|
% 44.72/14.65  																											| Equations (530) can reduce 347 to:
% 44.72/14.65  																											| (311) $false
% 44.72/14.65  																											|
% 44.72/14.65  																											|-The branch is then unsatisfiable
% 44.72/14.65  																										|-Branch two:
% 44.72/14.65  																										| (347)  ~ (all_0_82_82 = e2)
% 44.72/14.65  																										| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 44.72/14.65  																										|
% 44.72/14.65  																											+-Applying beta-rule and splitting (2205), into two cases.
% 44.72/14.65  																											|-Branch one:
% 44.72/14.65  																											| (789) all_0_82_82 = e3
% 44.72/14.65  																											|
% 44.72/14.65  																												| Equations (789) can reduce 209 to:
% 44.72/14.65  																												| (2358)  ~ (all_0_85_85 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Simplifying 2358 yields:
% 44.72/14.65  																												| (952)  ~ (all_0_85_85 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Equations (789) can reduce 255 to:
% 44.72/14.65  																												| (1815)  ~ (all_0_90_90 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Simplifying 1815 yields:
% 44.72/14.65  																												| (745)  ~ (all_0_90_90 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Equations (789) can reduce 200 to:
% 44.72/14.65  																												| (1070)  ~ (all_0_95_95 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Simplifying 1070 yields:
% 44.72/14.65  																												| (765)  ~ (all_0_95_95 = e3)
% 44.72/14.65  																												|
% 44.72/14.65  																												| Equations (789) can reduce 347 to:
% 44.72/14.65  																												| (169)  ~ (e3 = e2)
% 44.72/14.65  																												|
% 44.72/14.65  																												+-Applying beta-rule and splitting (99), into two cases.
% 44.72/14.65  																												|-Branch one:
% 44.72/14.65  																												| (767) all_0_95_95 = e2
% 44.72/14.65  																												|
% 44.72/14.65  																													| Equations (767) can reduce 355 to:
% 44.72/14.65  																													| (311) $false
% 44.72/14.65  																													|
% 44.72/14.65  																													|-The branch is then unsatisfiable
% 44.72/14.65  																												|-Branch two:
% 44.72/14.65  																												| (355)  ~ (all_0_95_95 = e2)
% 44.72/14.65  																												| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 44.72/14.65  																												|
% 44.72/14.65  																													+-Applying beta-rule and splitting (770), into two cases.
% 44.72/14.65  																													|-Branch one:
% 44.72/14.65  																													| (785) all_0_95_95 = e1
% 44.72/14.65  																													|
% 44.72/14.65  																														| Equations (785) can reduce 680 to:
% 44.72/14.65  																														| (311) $false
% 44.72/14.65  																														|
% 44.72/14.65  																														|-The branch is then unsatisfiable
% 44.72/14.65  																													|-Branch two:
% 44.72/14.65  																													| (680)  ~ (all_0_95_95 = e1)
% 44.72/14.65  																													| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 44.72/14.65  																													|
% 44.72/14.65  																														+-Applying beta-rule and splitting (853), into two cases.
% 44.72/14.65  																														|-Branch one:
% 44.72/14.65  																														| (744) all_0_95_95 = e3
% 44.72/14.65  																														|
% 44.72/14.65  																															| Equations (744) can reduce 765 to:
% 44.72/14.65  																															| (311) $false
% 44.72/14.65  																															|
% 44.72/14.65  																															|-The branch is then unsatisfiable
% 44.72/14.65  																														|-Branch two:
% 44.72/14.65  																														| (765)  ~ (all_0_95_95 = e3)
% 44.72/14.65  																														| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 44.72/14.65  																														|
% 44.72/14.65  																															+-Applying beta-rule and splitting (472), into two cases.
% 44.72/14.65  																															|-Branch one:
% 44.72/14.65  																															| (438) all_0_84_84 = e4
% 44.72/14.65  																															|
% 44.72/14.65  																																| Combining equations (552,438) yields a new equation:
% 44.72/14.65  																																| (310) e4 = e2
% 44.72/14.65  																																|
% 44.72/14.65  																																| Equations (310) can reduce 79 to:
% 44.72/14.65  																																| (311) $false
% 44.72/14.65  																																|
% 44.72/14.65  																																|-The branch is then unsatisfiable
% 44.72/14.65  																															|-Branch two:
% 44.72/14.65  																															| (417)  ~ (all_0_84_84 = e4)
% 44.72/14.65  																															| (493) all_0_85_85 = e4
% 44.72/14.65  																															|
% 44.72/14.65  																																| Equations (493) can reduce 118 to:
% 44.72/14.65  																																| (634)  ~ (all_0_81_81 = e4)
% 44.72/14.65  																																|
% 44.72/14.65  																																| Equations (493) can reduce 952 to:
% 44.72/14.65  																																| (177)  ~ (e4 = e3)
% 44.72/14.65  																																|
% 44.72/14.65  																																| From (493) and (12) follows:
% 44.72/14.65  																																| (23449) op(e4, e3) = all_0_13_13
% 44.72/14.65  																																|
% 44.72/14.65  																																| From (493) and (96) follows:
% 44.72/14.65  																																| (23450) op(e4, e0) = all_0_14_14
% 44.72/14.65  																																|
% 44.72/14.65  																																| From (493) and (8) follows:
% 44.72/14.65  																																| (4406) op(e3, e0) = e4
% 44.72/14.65  																																|
% 44.72/14.65  																																+-Applying beta-rule and splitting (3625), into two cases.
% 44.72/14.65  																																|-Branch one:
% 44.72/14.65  																																| (469) all_0_82_82 = e4
% 44.72/14.65  																																|
% 44.72/14.65  																																	| Combining equations (789,469) yields a new equation:
% 44.72/14.65  																																	| (434) e4 = e3
% 44.72/14.65  																																	|
% 44.72/14.65  																																	| Equations (434) can reduce 177 to:
% 44.72/14.65  																																	| (311) $false
% 44.72/14.65  																																	|
% 44.72/14.65  																																	|-The branch is then unsatisfiable
% 44.72/14.65  																																|-Branch two:
% 44.72/14.65  																																| (465)  ~ (all_0_82_82 = e4)
% 44.72/14.65  																																| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.72/14.65  																																|
% 44.72/14.65  																																	+-Applying beta-rule and splitting (857), into two cases.
% 44.72/14.65  																																	|-Branch one:
% 44.72/14.65  																																	| (858) all_0_95_95 = e0
% 44.72/14.65  																																	|
% 44.72/14.65  																																		| Equations (858) can reduce 229 to:
% 44.72/14.65  																																		| (762)  ~ (all_0_90_90 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Equations (858) can reduce 107 to:
% 44.72/14.65  																																		| (2058)  ~ (all_0_98_98 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Simplifying 2058 yields:
% 44.72/14.65  																																		| (2059)  ~ (all_0_98_98 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Equations (858) can reduce 315 to:
% 44.72/14.65  																																		| (904)  ~ (e4 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Simplifying 904 yields:
% 44.72/14.65  																																		| (23)  ~ (e4 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Equations (858) can reduce 765 to:
% 44.72/14.65  																																		| (906)  ~ (e3 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| Simplifying 906 yields:
% 44.72/14.65  																																		| (50)  ~ (e3 = e0)
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| From (858) and (77) follows:
% 44.72/14.65  																																		| (23465) op(e0, e3) = all_0_33_33
% 44.72/14.65  																																		|
% 44.72/14.65  																																		| From (858) and (275) follows:
% 44.72/14.65  																																		| (20508) op(e0, e3) = e0
% 44.72/14.65  																																		|
% 44.72/14.65  																																		+-Applying beta-rule and splitting (3629), into two cases.
% 44.72/14.65  																																		|-Branch one:
% 44.72/14.65  																																		| (583) all_0_90_90 = e4
% 44.72/14.65  																																		|
% 44.72/14.65  																																			| Equations (583) can reduce 745 to:
% 44.72/14.65  																																			| (177)  ~ (e4 = e3)
% 44.72/14.65  																																			|
% 44.72/14.65  																																			| Equations (583) can reduce 762 to:
% 44.72/14.65  																																			| (23)  ~ (e4 = e0)
% 44.72/14.65  																																			|
% 44.72/14.65  																																			| From (583) and (287) follows:
% 44.72/14.66  																																			| (23470) op(e4, e3) = all_0_24_24
% 44.72/14.66  																																			|
% 44.72/14.66  																																			| From (583) and (218) follows:
% 44.72/14.66  																																			| (4391) op(e1, e3) = e4
% 44.72/14.66  																																			|
% 44.72/14.66  																																			+-Applying beta-rule and splitting (291), into two cases.
% 44.72/14.66  																																			|-Branch one:
% 44.72/14.66  																																			| (758) all_0_90_90 = e0
% 44.72/14.66  																																			|
% 44.72/14.66  																																				| Combining equations (583,758) yields a new equation:
% 44.72/14.66  																																				| (911) e4 = e0
% 44.72/14.66  																																				|
% 44.72/14.66  																																				| Simplifying 911 yields:
% 44.72/14.66  																																				| (912) e4 = e0
% 44.72/14.66  																																				|
% 44.72/14.66  																																				| Equations (912) can reduce 23 to:
% 44.72/14.66  																																				| (311) $false
% 44.72/14.66  																																				|
% 44.72/14.66  																																				|-The branch is then unsatisfiable
% 44.72/14.66  																																			|-Branch two:
% 44.72/14.66  																																			| (762)  ~ (all_0_90_90 = e0)
% 44.72/14.66  																																			| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.72/14.66  																																			|
% 44.72/14.66  																																				+-Applying beta-rule and splitting (210), into two cases.
% 44.72/14.66  																																				|-Branch one:
% 44.72/14.66  																																				| (433) all_0_80_80 = e4
% 44.72/14.66  																																				|
% 44.72/14.66  																																					| Equations (433) can reduce 49 to:
% 44.72/14.66  																																					| (1906)  ~ (all_0_92_92 = e4)
% 44.72/14.66  																																					|
% 44.72/14.66  																																					| Simplifying 1906 yields:
% 44.72/14.66  																																					| (1619)  ~ (all_0_92_92 = e4)
% 44.72/14.66  																																					|
% 44.72/14.66  																																					+-Applying beta-rule and splitting (119), into two cases.
% 44.72/14.66  																																					|-Branch one:
% 44.72/14.66  																																					| (1343) all_0_92_92 = e2
% 44.72/14.66  																																					|
% 44.72/14.66  																																						| Equations (1343) can reduce 298 to:
% 44.72/14.66  																																						| (311) $false
% 44.72/14.66  																																						|
% 44.72/14.66  																																						|-The branch is then unsatisfiable
% 44.72/14.66  																																					|-Branch two:
% 44.72/14.66  																																					| (298)  ~ (all_0_92_92 = e2)
% 44.72/14.66  																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.72/14.66  																																					|
% 44.72/14.66  																																						+-Applying beta-rule and splitting (3735), into two cases.
% 44.72/14.66  																																						|-Branch one:
% 44.72/14.66  																																						| (836) all_0_92_92 = e1
% 44.72/14.66  																																						|
% 44.72/14.66  																																							| Equations (836) can reduce 283 to:
% 44.72/14.66  																																							| (480)  ~ (all_0_93_93 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							| Simplifying 480 yields:
% 44.72/14.66  																																							| (481)  ~ (all_0_93_93 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							| Equations (836) can reduce 426 to:
% 44.72/14.66  																																							| (683)  ~ (e3 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							| Simplifying 683 yields:
% 44.72/14.66  																																							| (20)  ~ (e3 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							| Equations (836) can reduce 298 to:
% 44.72/14.66  																																							| (487)  ~ (e2 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							| Simplifying 487 yields:
% 44.72/14.66  																																							| (243)  ~ (e2 = e1)
% 44.72/14.66  																																							|
% 44.72/14.66  																																							+-Applying beta-rule and splitting (207), into two cases.
% 44.72/14.66  																																							|-Branch one:
% 44.72/14.66  																																							| (416) all_0_80_80 = e3
% 44.72/14.66  																																							|
% 44.72/14.66  																																								| Combining equations (433,416) yields a new equation:
% 44.72/14.66  																																								| (790) e4 = e3
% 44.72/14.66  																																								|
% 44.72/14.66  																																								| Simplifying 790 yields:
% 44.72/14.66  																																								| (434) e4 = e3
% 44.72/14.66  																																								|
% 44.72/14.66  																																								| Equations (434) can reduce 177 to:
% 44.72/14.66  																																								| (311) $false
% 44.72/14.66  																																								|
% 44.72/14.66  																																								|-The branch is then unsatisfiable
% 44.72/14.66  																																							|-Branch two:
% 44.72/14.66  																																							| (2347)  ~ (all_0_80_80 = e3)
% 44.72/14.66  																																							| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.72/14.66  																																							|
% 44.72/14.66  																																								| Equations (433) can reduce 2347 to:
% 44.72/14.66  																																								| (177)  ~ (e4 = e3)
% 44.72/14.66  																																								|
% 44.72/14.66  																																								+-Applying beta-rule and splitting (106), into two cases.
% 44.72/14.66  																																								|-Branch one:
% 44.72/14.66  																																								| (771) all_0_78_78 = e3
% 44.72/14.66  																																								|
% 44.72/14.66  																																									| Combining equations (400,771) yields a new equation:
% 44.72/14.66  																																									| (548) e3 = e2
% 44.72/14.66  																																									|
% 44.72/14.66  																																									| Equations (548) can reduce 169 to:
% 44.72/14.66  																																									| (311) $false
% 44.72/14.66  																																									|
% 44.72/14.66  																																									|-The branch is then unsatisfiable
% 44.72/14.66  																																								|-Branch two:
% 44.72/14.66  																																								| (418)  ~ (all_0_78_78 = e3)
% 44.72/14.66  																																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.72/14.66  																																								|
% 44.72/14.66  																																									+-Applying beta-rule and splitting (123), into two cases.
% 44.72/14.66  																																									|-Branch one:
% 44.72/14.66  																																									| (473) all_0_81_81 = e2
% 44.72/14.66  																																									|
% 44.72/14.66  																																										| Equations (473) can reduce 396 to:
% 44.72/14.66  																																										| (311) $false
% 44.72/14.66  																																										|
% 44.72/14.66  																																										|-The branch is then unsatisfiable
% 44.72/14.66  																																									|-Branch two:
% 44.72/14.66  																																									| (396)  ~ (all_0_81_81 = e2)
% 44.72/14.66  																																									| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.72/14.66  																																									|
% 44.72/14.66  																																										+-Applying beta-rule and splitting (1756), into two cases.
% 44.72/14.66  																																										|-Branch one:
% 44.72/14.66  																																										| (1708) all_0_79_79 = e3
% 44.72/14.66  																																										|
% 44.72/14.66  																																											| Combining equations (457,1708) yields a new equation:
% 44.72/14.66  																																											| (772) e3 = e1
% 44.72/14.66  																																											|
% 44.72/14.66  																																											| Equations (772) can reduce 20 to:
% 44.72/14.66  																																											| (311) $false
% 44.72/14.66  																																											|
% 44.72/14.66  																																											|-The branch is then unsatisfiable
% 44.72/14.66  																																										|-Branch two:
% 44.72/14.66  																																										| (1711)  ~ (all_0_79_79 = e3)
% 44.72/14.66  																																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.72/14.66  																																										|
% 44.72/14.66  																																											| Equations (457) can reduce 1711 to:
% 44.72/14.66  																																											| (683)  ~ (e3 = e1)
% 44.72/14.66  																																											|
% 44.72/14.66  																																											| Simplifying 683 yields:
% 44.72/14.66  																																											| (20)  ~ (e3 = e1)
% 44.72/14.66  																																											|
% 44.72/14.66  																																											+-Applying beta-rule and splitting (108), into two cases.
% 44.72/14.66  																																											|-Branch one:
% 44.72/14.66  																																											| (477) all_0_81_81 = e1
% 44.72/14.66  																																											|
% 44.72/14.66  																																												| Equations (477) can reduce 628 to:
% 44.72/14.66  																																												| (311) $false
% 44.72/14.66  																																												|
% 44.72/14.66  																																												|-The branch is then unsatisfiable
% 44.72/14.66  																																											|-Branch two:
% 44.72/14.66  																																											| (628)  ~ (all_0_81_81 = e1)
% 44.72/14.66  																																											| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.72/14.66  																																											|
% 44.72/14.66  																																												+-Applying beta-rule and splitting (1455), into two cases.
% 44.72/14.66  																																												|-Branch one:
% 44.72/14.66  																																												| (1456) all_0_91_91 = e0
% 44.72/14.66  																																												|
% 44.72/14.66  																																													| Combining equations (1456,588) yields a new equation:
% 44.72/14.66  																																													| (600) e3 = e0
% 44.72/14.66  																																													|
% 44.72/14.66  																																													| Equations (600) can reduce 50 to:
% 44.72/14.66  																																													| (311) $false
% 44.72/14.66  																																													|
% 44.72/14.66  																																													|-The branch is then unsatisfiable
% 44.72/14.66  																																												|-Branch two:
% 44.72/14.66  																																												| (1487)  ~ (all_0_91_91 = e0)
% 44.72/14.66  																																												| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.72/14.66  																																												|
% 44.72/14.66  																																													+-Applying beta-rule and splitting (65), into two cases.
% 44.72/14.66  																																													|-Branch one:
% 44.72/14.66  																																													| (522) all_0_93_93 = e2
% 44.72/14.66  																																													|
% 44.72/14.66  																																														| Equations (522) can reduce 300 to:
% 44.72/14.66  																																														| (311) $false
% 44.72/14.66  																																														|
% 44.72/14.66  																																														|-The branch is then unsatisfiable
% 44.72/14.66  																																													|-Branch two:
% 44.72/14.66  																																													| (300)  ~ (all_0_93_93 = e2)
% 44.72/14.66  																																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.72/14.66  																																													|
% 44.72/14.66  																																														+-Applying beta-rule and splitting (817), into two cases.
% 44.72/14.66  																																														|-Branch one:
% 44.72/14.66  																																														| (504) all_0_88_88 = e1
% 44.72/14.66  																																														|
% 44.72/14.66  																																															| Combining equations (370,504) yields a new equation:
% 44.72/14.66  																																															| (408) e2 = e1
% 44.72/14.66  																																															|
% 44.72/14.66  																																															| Simplifying 408 yields:
% 44.72/14.66  																																															| (385) e2 = e1
% 44.72/14.66  																																															|
% 44.72/14.66  																																															| Equations (385) can reduce 243 to:
% 44.72/14.66  																																															| (311) $false
% 44.72/14.66  																																															|
% 44.72/14.66  																																															|-The branch is then unsatisfiable
% 44.72/14.66  																																														|-Branch two:
% 44.72/14.66  																																														| (479)  ~ (all_0_88_88 = e1)
% 44.72/14.66  																																														| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.72/14.66  																																														|
% 44.72/14.66  																																															+-Applying beta-rule and splitting (897), into two cases.
% 44.72/14.66  																																															|-Branch one:
% 44.72/14.66  																																															| (566) all_0_93_93 = e1
% 44.72/14.66  																																															|
% 44.72/14.66  																																																| Equations (566) can reduce 481 to:
% 44.72/14.66  																																																| (311) $false
% 44.72/14.66  																																																|
% 44.72/14.66  																																																|-The branch is then unsatisfiable
% 44.72/14.66  																																															|-Branch two:
% 44.72/14.66  																																															| (481)  ~ (all_0_93_93 = e1)
% 44.72/14.66  																																															| (1543) all_0_98_98 = e1
% 44.72/14.66  																																															|
% 44.72/14.66  																																																| Equations (1543) can reduce 5 to:
% 44.72/14.66  																																																| (628)  ~ (all_0_81_81 = e1)
% 44.72/14.66  																																																|
% 44.72/14.66  																																																| Equations (1543) can reduce 13 to:
% 44.72/14.66  																																																| (481)  ~ (all_0_93_93 = e1)
% 44.72/14.66  																																																|
% 44.72/14.66  																																																| Equations (1543) can reduce 2059 to:
% 44.72/14.66  																																																| (264)  ~ (e1 = e0)
% 44.72/14.66  																																																|
% 44.72/14.66  																																																+-Applying beta-rule and splitting (250), into two cases.
% 44.72/14.66  																																																|-Branch one:
% 44.72/14.66  																																																| (635) all_0_81_81 = e3
% 44.72/14.66  																																																|
% 44.72/14.66  																																																	| Equations (635) can reduce 396 to:
% 44.72/14.66  																																																	| (169)  ~ (e3 = e2)
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	| Equations (635) can reduce 628 to:
% 44.72/14.66  																																																	| (20)  ~ (e3 = e1)
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	| Equations (635) can reduce 257 to:
% 44.72/14.66  																																																	| (50)  ~ (e3 = e0)
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	| From (635) and (19) follows:
% 44.72/14.66  																																																	| (23545) op(e3, e4) = all_0_6_6
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	| From (635) and (111) follows:
% 44.72/14.66  																																																	| (23546) op(e3, e0) = all_0_7_7
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	| From (635) and (156) follows:
% 44.72/14.66  																																																	| (23547) op(e4, e0) = e3
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																	+-Applying beta-rule and splitting (270), into two cases.
% 44.72/14.66  																																																	|-Branch one:
% 44.72/14.66  																																																	| (744) all_0_95_95 = e3
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																		| Combining equations (858,744) yields a new equation:
% 44.72/14.66  																																																		| (600) e3 = e0
% 44.72/14.66  																																																		|
% 44.72/14.66  																																																		| Equations (600) can reduce 50 to:
% 44.72/14.66  																																																		| (311) $false
% 44.72/14.66  																																																		|
% 44.72/14.66  																																																		|-The branch is then unsatisfiable
% 44.72/14.66  																																																	|-Branch two:
% 44.72/14.66  																																																	| (765)  ~ (all_0_95_95 = e3)
% 44.72/14.66  																																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 44.72/14.66  																																																	|
% 44.72/14.66  																																																		+-Applying beta-rule and splitting (1488), into two cases.
% 44.72/14.66  																																																		|-Branch one:
% 44.72/14.66  																																																		| (942) all_0_92_92 = e0
% 44.72/14.66  																																																		|
% 44.72/14.66  																																																			| Combining equations (836,942) yields a new equation:
% 44.72/14.66  																																																			| (1107) e1 = e0
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| Simplifying 1107 yields:
% 44.72/14.66  																																																			| (865) e1 = e0
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| Equations (865) can reduce 264 to:
% 44.72/14.66  																																																			| (311) $false
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			|-The branch is then unsatisfiable
% 44.72/14.66  																																																		|-Branch two:
% 44.72/14.66  																																																		| (946)  ~ (all_0_92_92 = e0)
% 44.72/14.66  																																																		| (604) all_0_93_93 = e0
% 44.72/14.66  																																																		|
% 44.72/14.66  																																																			| Equations (604) can reduce 300 to:
% 44.72/14.66  																																																			| (510)  ~ (e2 = e0)
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| Simplifying 510 yields:
% 44.72/14.66  																																																			| (76)  ~ (e2 = e0)
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| Equations (604) can reduce 481 to:
% 44.72/14.66  																																																			| (859)  ~ (e1 = e0)
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| Simplifying 859 yields:
% 44.72/14.66  																																																			| (264)  ~ (e1 = e0)
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			| From (604) and (25) follows:
% 44.72/14.66  																																																			| (23563) op(e0, e1) = all_0_28_28
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																			+-Applying beta-rule and splitting (766), into two cases.
% 44.72/14.66  																																																			|-Branch one:
% 44.72/14.66  																																																			| (778) all_0_96_96 = e3
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																				| Combining equations (1704,778) yields a new equation:
% 44.72/14.66  																																																				| (548) e3 = e2
% 44.72/14.66  																																																				|
% 44.72/14.66  																																																				| Equations (548) can reduce 169 to:
% 44.72/14.66  																																																				| (311) $false
% 44.72/14.66  																																																				|
% 44.72/14.66  																																																				|-The branch is then unsatisfiable
% 44.72/14.66  																																																			|-Branch two:
% 44.72/14.66  																																																			| (964)  ~ (all_0_96_96 = e3)
% 44.72/14.66  																																																			| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 44.72/14.66  																																																			|
% 44.72/14.66  																																																				+-Applying beta-rule and splitting (965), into two cases.
% 44.72/14.66  																																																				|-Branch one:
% 44.72/14.66  																																																				| (556) all_0_97_97 = e3
% 44.72/14.66  																																																				|
% 44.72/14.66  																																																					| From (556) and (213) follows:
% 44.72/14.66  																																																					| (23570) op(e3, e0) = all_0_36_36
% 44.72/14.66  																																																					|
% 44.72/14.66  																																																					| From (556) and (147) follows:
% 44.72/14.66  																																																					| (13234) op(e0, e1) = e3
% 44.72/14.66  																																																					|
% 44.72/14.66  																																																					| Instantiating formula (262) with e4, e3, all_0_13_13, e2 and discharging atoms op(e4, e3) = all_0_13_13, op(e4, e3) = e2, yields:
% 44.72/14.67  																																																					| (23572) all_0_13_13 = e2
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e4, e3, all_0_24_24, all_0_13_13 and discharging atoms op(e4, e3) = all_0_13_13, op(e4, e3) = all_0_24_24, yields:
% 44.72/14.67  																																																					| (23573) all_0_13_13 = all_0_24_24
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e4, e0, e3, all_0_14_14 and discharging atoms op(e4, e0) = all_0_14_14, op(e4, e0) = e3, yields:
% 44.72/14.67  																																																					| (23259) all_0_14_14 = e3
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e3, e4, all_0_6_6, e1 and discharging atoms op(e3, e4) = all_0_6_6, op(e3, e4) = e1, yields:
% 44.72/14.67  																																																					| (23575) all_0_6_6 = e1
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e3, e0, all_0_36_36, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_36_36, yields:
% 44.72/14.67  																																																					| (4075) all_0_7_7 = all_0_36_36
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e3, e0, e4, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = e4, yields:
% 44.72/14.67  																																																					| (23240) all_0_7_7 = e4
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e0, e3, e0, all_0_33_33 and discharging atoms op(e0, e3) = all_0_33_33, op(e0, e3) = e0, yields:
% 44.72/14.67  																																																					| (23312) all_0_33_33 = e0
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Instantiating formula (262) with e0, e1, e3, all_0_28_28 and discharging atoms op(e0, e1) = all_0_28_28, op(e0, e1) = e3, yields:
% 44.72/14.67  																																																					| (23579) all_0_28_28 = e3
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Combining equations (4075,23240) yields a new equation:
% 44.72/14.67  																																																					| (23580) all_0_36_36 = e4
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Simplifying 23580 yields:
% 44.72/14.67  																																																					| (23581) all_0_36_36 = e4
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| Combining equations (23572,23573) yields a new equation:
% 44.72/14.67  																																																					| (23582) all_0_24_24 = e2
% 44.72/14.67  																																																					|
% 44.72/14.67  																																																					| From (23582) and (23470) follows:
% 44.72/14.68  																																																					| (9982) op(e4, e3) = e2
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					| From (23259) and (23450) follows:
% 44.72/14.68  																																																					| (23547) op(e4, e0) = e3
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					| From (23575) and (23545) follows:
% 44.72/14.68  																																																					| (225) op(e3, e4) = e1
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					| From (23581) and (23570) follows:
% 44.72/14.68  																																																					| (4406) op(e3, e0) = e4
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					| From (23312) and (23465) follows:
% 44.72/14.68  																																																					| (20508) op(e0, e3) = e0
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					| From (23579) and (23563) follows:
% 44.72/14.68  																																																					| (13234) op(e0, e1) = e3
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																					+-Applying beta-rule and splitting (196), into two cases.
% 44.72/14.68  																																																					|-Branch one:
% 44.72/14.68  																																																					| (4725) unit = e2
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																						| From (4725) and (170) follows:
% 44.72/14.68  																																																						| (4726) op(e2, e4) = e4
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| From (4725) and (11) follows:
% 44.72/14.68  																																																						| (4727) op(e4, e2) = e4
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| From (4725) and (271) follows:
% 44.72/14.68  																																																						| (12240) op(e3, e2) = e3
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Instantiating formula (262) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 44.72/14.68  																																																						| (814) e4 = e1
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Instantiating formula (262) with e3, e2, e3, e0 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e0, yields:
% 44.72/14.68  																																																						| (600) e3 = e0
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 44.72/14.68  																																																						| (434) e4 = e3
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Combining equations (814,434) yields a new equation:
% 44.72/14.68  																																																						| (772) e3 = e1
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Combining equations (772,600) yields a new equation:
% 44.72/14.68  																																																						| (1107) e1 = e0
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Simplifying 1107 yields:
% 44.72/14.68  																																																						| (865) e1 = e0
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						| Equations (865) can reduce 264 to:
% 44.72/14.68  																																																						| (311) $false
% 44.72/14.68  																																																						|
% 44.72/14.68  																																																						|-The branch is then unsatisfiable
% 44.72/14.68  																																																					|-Branch two:
% 44.72/14.68  																																																					| (4740)  ~ (unit = e2)
% 44.72/14.68  																																																					| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 44.72/14.68  																																																					|
% 44.72/14.68  																																																						+-Applying beta-rule and splitting (4741), into two cases.
% 44.72/14.68  																																																						|-Branch one:
% 44.72/14.69  																																																						| (4742) unit = e1
% 44.72/14.69  																																																						|
% 44.72/14.69  																																																							| From (4742) and (170) follows:
% 44.72/14.69  																																																							| (4743) op(e1, e4) = e4
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| From (4742) and (203) follows:
% 44.72/14.69  																																																							| (4744) op(e1, e3) = e3
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| From (4742) and (57) follows:
% 44.72/14.69  																																																							| (3169) op(e0, e1) = e0
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 44.72/14.69  																																																							| (310) e4 = e2
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 44.72/14.69  																																																							| (434) e4 = e3
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Instantiating formula (262) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 44.72/14.69  																																																							| (600) e3 = e0
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Combining equations (310,434) yields a new equation:
% 44.72/14.69  																																																							| (548) e3 = e2
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Combining equations (548,600) yields a new equation:
% 44.72/14.69  																																																							| (923) e2 = e0
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Simplifying 923 yields:
% 44.72/14.69  																																																							| (379) e2 = e0
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							| Equations (379) can reduce 76 to:
% 44.72/14.69  																																																							| (311) $false
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																							|-The branch is then unsatisfiable
% 44.72/14.69  																																																						|-Branch two:
% 44.72/14.69  																																																						| (4754)  ~ (unit = e1)
% 44.72/14.69  																																																						| (4755) unit = e4 | unit = e3 | unit = e0
% 44.72/14.69  																																																						|
% 44.72/14.69  																																																							+-Applying beta-rule and splitting (4755), into two cases.
% 44.72/14.69  																																																							|-Branch one:
% 44.72/14.69  																																																							| (4756) unit = e3
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																								| From (4756) and (288) follows:
% 44.72/14.69  																																																								| (1093) op(e3, e0) = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| From (4756) and (11) follows:
% 44.72/14.69  																																																								| (4757) op(e4, e3) = e4
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| From (4756) and (269) follows:
% 44.72/14.69  																																																								| (362) op(e2, e3) = e2
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Instantiating formula (262) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 44.72/14.69  																																																								| (310) e4 = e2
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Instantiating formula (262) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields:
% 44.72/14.69  																																																								| (912) e4 = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Instantiating formula (262) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 44.72/14.69  																																																								| (385) e2 = e1
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Combining equations (310,912) yields a new equation:
% 44.72/14.69  																																																								| (923) e2 = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Simplifying 923 yields:
% 44.72/14.69  																																																								| (379) e2 = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Combining equations (385,379) yields a new equation:
% 44.72/14.69  																																																								| (1107) e1 = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Simplifying 1107 yields:
% 44.72/14.69  																																																								| (865) e1 = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								| Equations (865) can reduce 264 to:
% 44.72/14.69  																																																								| (311) $false
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																								|-The branch is then unsatisfiable
% 44.72/14.69  																																																							|-Branch two:
% 44.72/14.69  																																																							| (4768)  ~ (unit = e3)
% 44.72/14.69  																																																							| (4769) unit = e4 | unit = e0
% 44.72/14.69  																																																							|
% 44.72/14.69  																																																								+-Applying beta-rule and splitting (4769), into two cases.
% 44.72/14.69  																																																								|-Branch one:
% 44.72/14.69  																																																								| (4770) unit = e0
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																									| Equations (4770) can reduce 4754 to:
% 44.72/14.69  																																																									| (859)  ~ (e1 = e0)
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Simplifying 859 yields:
% 44.72/14.69  																																																									| (264)  ~ (e1 = e0)
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| From (4770) and (203) follows:
% 44.72/14.69  																																																									| (1522) op(e0, e3) = e3
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| From (4770) and (36) follows:
% 44.72/14.69  																																																									| (2475) op(e0, e1) = e1
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Instantiating formula (262) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 44.72/14.69  																																																									| (600) e3 = e0
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Instantiating formula (262) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 44.72/14.69  																																																									| (772) e3 = e1
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Combining equations (600,772) yields a new equation:
% 44.72/14.69  																																																									| (865) e1 = e0
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Equations (865) can reduce 264 to:
% 44.72/14.69  																																																									| (311) $false
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									|-The branch is then unsatisfiable
% 44.72/14.69  																																																								|-Branch two:
% 44.72/14.69  																																																								| (4780)  ~ (unit = e0)
% 44.72/14.69  																																																								| (4781) unit = e4
% 44.72/14.69  																																																								|
% 44.72/14.69  																																																									| From (4781) and (288) follows:
% 44.72/14.69  																																																									| (4782) op(e4, e0) = e0
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| From (4781) and (271) follows:
% 44.72/14.69  																																																									| (4783) op(e3, e4) = e3
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Instantiating formula (262) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields:
% 44.72/14.69  																																																									| (600) e3 = e0
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Instantiating formula (262) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 44.72/14.69  																																																									| (772) e3 = e1
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Combining equations (600,772) yields a new equation:
% 44.72/14.69  																																																									| (865) e1 = e0
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									| Equations (865) can reduce 264 to:
% 44.72/14.69  																																																									| (311) $false
% 44.72/14.69  																																																									|
% 44.72/14.69  																																																									|-The branch is then unsatisfiable
% 44.72/14.69  																																																				|-Branch two:
% 44.72/14.69  																																																				| (428)  ~ (all_0_97_97 = e3)
% 44.72/14.69  																																																				| (969) all_0_98_98 = e3
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																					| Combining equations (969,1543) yields a new equation:
% 44.72/14.69  																																																					| (825) e3 = e1
% 44.72/14.69  																																																					|
% 44.72/14.69  																																																					| Simplifying 825 yields:
% 44.72/14.69  																																																					| (772) e3 = e1
% 44.72/14.69  																																																					|
% 44.72/14.69  																																																					| Equations (772) can reduce 20 to:
% 44.72/14.69  																																																					| (311) $false
% 44.72/14.69  																																																					|
% 44.72/14.69  																																																					|-The branch is then unsatisfiable
% 44.72/14.69  																																																|-Branch two:
% 44.72/14.69  																																																| (420)  ~ (all_0_81_81 = e3)
% 44.72/14.69  																																																| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 44.72/14.69  																																																|
% 44.72/14.69  																																																	+-Applying beta-rule and splitting (1488), into two cases.
% 44.72/14.69  																																																	|-Branch one:
% 44.72/14.69  																																																	| (942) all_0_92_92 = e0
% 44.72/14.69  																																																	|
% 44.72/14.69  																																																		| Combining equations (836,942) yields a new equation:
% 44.72/14.69  																																																		| (1107) e1 = e0
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																		| Simplifying 1107 yields:
% 44.72/14.69  																																																		| (865) e1 = e0
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																		| Equations (865) can reduce 264 to:
% 44.72/14.69  																																																		| (311) $false
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																		|-The branch is then unsatisfiable
% 44.72/14.69  																																																	|-Branch two:
% 44.72/14.69  																																																	| (946)  ~ (all_0_92_92 = e0)
% 44.72/14.69  																																																	| (604) all_0_93_93 = e0
% 44.72/14.69  																																																	|
% 44.72/14.69  																																																		| Equations (604) can reduce 602 to:
% 44.72/14.69  																																																		| (906)  ~ (e3 = e0)
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																		| Simplifying 906 yields:
% 44.72/14.69  																																																		| (50)  ~ (e3 = e0)
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																		+-Applying beta-rule and splitting (4488), into two cases.
% 44.72/14.69  																																																		|-Branch one:
% 44.72/14.69  																																																		| (804) all_0_85_85 = e3
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																			| Combining equations (493,804) yields a new equation:
% 44.72/14.69  																																																			| (790) e4 = e3
% 44.72/14.69  																																																			|
% 44.72/14.69  																																																			| Simplifying 790 yields:
% 44.72/14.69  																																																			| (434) e4 = e3
% 44.72/14.69  																																																			|
% 44.72/14.69  																																																			| Equations (434) can reduce 177 to:
% 44.72/14.69  																																																			| (311) $false
% 44.72/14.69  																																																			|
% 44.72/14.69  																																																			|-The branch is then unsatisfiable
% 44.72/14.69  																																																		|-Branch two:
% 44.72/14.69  																																																		| (952)  ~ (all_0_85_85 = e3)
% 44.72/14.69  																																																		| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 44.72/14.69  																																																		|
% 44.72/14.69  																																																			+-Applying beta-rule and splitting (4559), into two cases.
% 44.72/14.69  																																																			|-Branch one:
% 44.72/14.69  																																																			| (570) all_0_93_93 = e3
% 44.72/14.69  																																																			|
% 44.72/14.69  																																																				| Combining equations (604,570) yields a new equation:
% 44.72/14.69  																																																				| (600) e3 = e0
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																				| Equations (600) can reduce 50 to:
% 44.72/14.69  																																																				| (311) $false
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																				|-The branch is then unsatisfiable
% 44.72/14.69  																																																			|-Branch two:
% 44.72/14.69  																																																			| (602)  ~ (all_0_93_93 = e3)
% 44.72/14.69  																																																			| (969) all_0_98_98 = e3
% 44.72/14.69  																																																			|
% 44.72/14.69  																																																				| Combining equations (969,1543) yields a new equation:
% 44.72/14.69  																																																				| (825) e3 = e1
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																				| Simplifying 825 yields:
% 44.72/14.69  																																																				| (772) e3 = e1
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																				| Equations (772) can reduce 20 to:
% 44.72/14.69  																																																				| (311) $false
% 44.72/14.69  																																																				|
% 44.72/14.69  																																																				|-The branch is then unsatisfiable
% 44.72/14.69  																																						|-Branch two:
% 44.72/14.69  																																						| (840)  ~ (all_0_92_92 = e1)
% 44.72/14.69  																																						| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 44.72/14.69  																																						|
% 44.72/14.69  																																							+-Applying beta-rule and splitting (3800), into two cases.
% 44.72/14.69  																																							|-Branch one:
% 44.72/14.69  																																							| (882) all_0_92_92 = e3
% 44.72/14.69  																																							|
% 44.72/14.69  																																								| Equations (882) can reduce 426 to:
% 44.72/14.69  																																								| (311) $false
% 44.72/14.69  																																								|
% 44.72/14.69  																																								|-The branch is then unsatisfiable
% 44.72/14.69  																																							|-Branch two:
% 44.72/14.69  																																							| (426)  ~ (all_0_92_92 = e3)
% 44.72/14.69  																																							| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 44.72/14.69  																																							|
% 44.72/14.70  																																								+-Applying beta-rule and splitting (16683), into two cases.
% 44.72/14.70  																																								|-Branch one:
% 44.72/14.70  																																								| (942) all_0_92_92 = e0
% 44.72/14.70  																																								|
% 44.72/14.70  																																									| Equations (942) can reduce 946 to:
% 44.72/14.70  																																									| (311) $false
% 44.72/14.70  																																									|
% 44.72/14.70  																																									|-The branch is then unsatisfiable
% 44.72/14.70  																																								|-Branch two:
% 44.72/14.70  																																								| (946)  ~ (all_0_92_92 = e0)
% 44.72/14.70  																																								| (442) all_0_92_92 = e4
% 44.72/14.70  																																								|
% 44.72/14.70  																																									| Equations (442) can reduce 1619 to:
% 44.72/14.70  																																									| (311) $false
% 44.72/14.70  																																									|
% 44.72/14.70  																																									|-The branch is then unsatisfiable
% 44.72/14.70  																																				|-Branch two:
% 44.72/14.70  																																				| (436)  ~ (all_0_80_80 = e4)
% 44.72/14.70  																																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.72/14.70  																																				|
% 44.72/14.70  																																					+-Applying beta-rule and splitting (641), into two cases.
% 44.72/14.70  																																					|-Branch one:
% 44.72/14.70  																																					| (433) all_0_80_80 = e4
% 44.72/14.70  																																					|
% 44.72/14.70  																																						| Equations (433) can reduce 436 to:
% 44.72/14.70  																																						| (311) $false
% 44.72/14.70  																																						|
% 44.72/14.70  																																						|-The branch is then unsatisfiable
% 44.72/14.70  																																					|-Branch two:
% 44.72/14.70  																																					| (436)  ~ (all_0_80_80 = e4)
% 44.72/14.70  																																					| (638) all_0_81_81 = e4
% 44.72/14.70  																																					|
% 44.72/14.70  																																						| Equations (638) can reduce 634 to:
% 44.72/14.70  																																						| (311) $false
% 44.72/14.70  																																						|
% 44.72/14.70  																																						|-The branch is then unsatisfiable
% 44.72/14.70  																																		|-Branch two:
% 44.72/14.70  																																		| (467)  ~ (all_0_90_90 = e4)
% 44.72/14.70  																																		| (894) all_0_95_95 = e4
% 44.72/14.70  																																		|
% 44.72/14.70  																																			| Combining equations (858,894) yields a new equation:
% 44.72/14.70  																																			| (912) e4 = e0
% 44.72/14.70  																																			|
% 44.72/14.70  																																			| Equations (912) can reduce 23 to:
% 44.72/14.70  																																			| (311) $false
% 44.72/14.70  																																			|
% 44.72/14.70  																																			|-The branch is then unsatisfiable
% 44.72/14.70  																																	|-Branch two:
% 44.72/14.70  																																	| (893)  ~ (all_0_95_95 = e0)
% 44.72/14.70  																																	| (894) all_0_95_95 = e4
% 44.72/14.70  																																	|
% 44.72/14.70  																																		| Equations (894) can reduce 315 to:
% 44.72/14.70  																																		| (311) $false
% 44.72/14.70  																																		|
% 44.72/14.70  																																		|-The branch is then unsatisfiable
% 44.72/14.70  																											|-Branch two:
% 44.72/14.70  																											| (793)  ~ (all_0_82_82 = e3)
% 44.72/14.70  																											| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 44.72/14.70  																											|
% 44.72/14.70  																												+-Applying beta-rule and splitting (171), into two cases.
% 44.72/14.70  																												|-Branch one:
% 44.72/14.70  																												| (789) all_0_82_82 = e3
% 44.72/14.70  																												|
% 44.72/14.70  																													| Equations (789) can reduce 793 to:
% 44.72/14.70  																													| (311) $false
% 44.72/14.70  																													|
% 44.72/14.70  																													|-The branch is then unsatisfiable
% 44.72/14.70  																												|-Branch two:
% 44.72/14.70  																												| (793)  ~ (all_0_82_82 = e3)
% 44.72/14.70  																												| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.72/14.70  																												|
% 44.72/14.70  																													+-Applying beta-rule and splitting (1296), into two cases.
% 44.72/14.70  																													|-Branch one:
% 44.72/14.70  																													| (795) all_0_83_83 = e3
% 44.72/14.70  																													|
% 44.72/14.70  																														| Combining equations (795,798) yields a new equation:
% 44.72/14.70  																														| (599) e3 = e0
% 44.72/14.70  																														|
% 44.72/14.70  																														| Simplifying 599 yields:
% 44.72/14.70  																														| (600) e3 = e0
% 44.72/14.70  																														|
% 44.72/14.70  																														| Equations (600) can reduce 50 to:
% 44.72/14.70  																														| (311) $false
% 44.72/14.70  																														|
% 44.72/14.70  																														|-The branch is then unsatisfiable
% 44.72/14.70  																													|-Branch two:
% 44.72/14.70  																													| (779)  ~ (all_0_83_83 = e3)
% 44.72/14.70  																													| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.72/14.70  																													|
% 44.72/14.70  																														+-Applying beta-rule and splitting (220), into two cases.
% 44.72/14.70  																														|-Branch one:
% 44.72/14.70  																														| (771) all_0_78_78 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																															| Combining equations (400,771) yields a new equation:
% 44.72/14.70  																															| (548) e3 = e2
% 44.72/14.70  																															|
% 44.72/14.70  																															| Equations (548) can reduce 169 to:
% 44.72/14.70  																															| (311) $false
% 44.72/14.70  																															|
% 44.72/14.70  																															|-The branch is then unsatisfiable
% 44.72/14.70  																														|-Branch two:
% 44.72/14.70  																														| (418)  ~ (all_0_78_78 = e3)
% 44.72/14.70  																														| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																															| Equations (400) can reduce 418 to:
% 44.72/14.70  																															| (356)  ~ (e3 = e2)
% 44.72/14.70  																															|
% 44.72/14.70  																															| Simplifying 356 yields:
% 44.72/14.70  																															| (169)  ~ (e3 = e2)
% 44.72/14.70  																															|
% 44.72/14.70  																															+-Applying beta-rule and splitting (472), into two cases.
% 44.72/14.70  																															|-Branch one:
% 44.72/14.70  																															| (438) all_0_84_84 = e4
% 44.72/14.70  																															|
% 44.72/14.70  																																| Combining equations (552,438) yields a new equation:
% 44.72/14.70  																																| (310) e4 = e2
% 44.72/14.70  																																|
% 44.72/14.70  																																| Equations (310) can reduce 79 to:
% 44.72/14.70  																																| (311) $false
% 44.72/14.70  																																|
% 44.72/14.70  																																|-The branch is then unsatisfiable
% 44.72/14.70  																															|-Branch two:
% 44.72/14.70  																															| (417)  ~ (all_0_84_84 = e4)
% 44.72/14.70  																															| (493) all_0_85_85 = e4
% 44.72/14.70  																															|
% 44.72/14.70  																																+-Applying beta-rule and splitting (1594), into two cases.
% 44.72/14.70  																																|-Branch one:
% 44.72/14.70  																																| (1265) all_0_84_84 = e3
% 44.72/14.70  																																|
% 44.72/14.70  																																	| Combining equations (552,1265) yields a new equation:
% 44.72/14.70  																																	| (548) e3 = e2
% 44.72/14.70  																																	|
% 44.72/14.70  																																	| Equations (548) can reduce 169 to:
% 44.72/14.70  																																	| (311) $false
% 44.72/14.70  																																	|
% 44.72/14.70  																																	|-The branch is then unsatisfiable
% 44.72/14.70  																																|-Branch two:
% 44.72/14.70  																																| (422)  ~ (all_0_84_84 = e3)
% 44.72/14.70  																																| (804) all_0_85_85 = e3
% 44.72/14.70  																																|
% 44.72/14.70  																																	| Combining equations (493,804) yields a new equation:
% 44.72/14.70  																																	| (790) e4 = e3
% 44.72/14.70  																																	|
% 44.72/14.70  																																	| Simplifying 790 yields:
% 44.72/14.70  																																	| (434) e4 = e3
% 44.72/14.70  																																	|
% 44.72/14.70  																																	| Equations (434) can reduce 177 to:
% 44.72/14.70  																																	| (311) $false
% 44.72/14.70  																																	|
% 44.72/14.70  																																	|-The branch is then unsatisfiable
% 44.72/14.70  																						|-Branch two:
% 44.72/14.70  																						| (612)  ~ (all_0_84_84 = e2)
% 44.72/14.70  																						| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 44.72/14.70  																						|
% 44.72/14.70  																							+-Applying beta-rule and splitting (537), into two cases.
% 44.72/14.70  																							|-Branch one:
% 44.72/14.70  																							| (552) all_0_84_84 = e2
% 44.72/14.70  																							|
% 44.72/14.70  																								| Equations (552) can reduce 612 to:
% 44.72/14.70  																								| (311) $false
% 44.72/14.70  																								|
% 44.72/14.70  																								|-The branch is then unsatisfiable
% 44.72/14.70  																							|-Branch two:
% 44.72/14.70  																							| (612)  ~ (all_0_84_84 = e2)
% 44.72/14.70  																							| (512) all_0_85_85 = e2
% 44.72/14.70  																							|
% 44.72/14.70  																								| Equations (512) can reduce 515 to:
% 44.72/14.70  																								| (311) $false
% 44.72/14.70  																								|
% 44.72/14.70  																								|-The branch is then unsatisfiable
% 44.72/14.70  																		|-Branch two:
% 44.72/14.70  																		| (346)  ~ (all_0_78_78 = e2)
% 44.72/14.70  																		| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 44.72/14.70  																		|
% 44.72/14.70  																			+-Applying beta-rule and splitting (246), into two cases.
% 44.72/14.70  																			|-Branch one:
% 44.72/14.70  																			| (400) all_0_78_78 = e2
% 44.72/14.70  																			|
% 44.72/14.70  																				| Equations (400) can reduce 346 to:
% 44.72/14.70  																				| (311) $false
% 44.72/14.70  																				|
% 44.72/14.70  																				|-The branch is then unsatisfiable
% 44.72/14.70  																			|-Branch two:
% 44.72/14.70  																			| (346)  ~ (all_0_78_78 = e2)
% 44.72/14.70  																			| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.72/14.70  																			|
% 44.72/14.70  																				+-Applying beta-rule and splitting (1658), into two cases.
% 44.72/14.70  																				|-Branch one:
% 44.72/14.70  																				| (390) all_0_79_79 = e2
% 44.72/14.70  																				|
% 44.72/14.70  																					| Combining equations (390,457) yields a new equation:
% 44.72/14.70  																					| (408) e2 = e1
% 44.72/14.70  																					|
% 44.72/14.70  																					| Simplifying 408 yields:
% 44.72/14.70  																					| (385) e2 = e1
% 44.72/14.70  																					|
% 44.72/14.70  																					| Equations (385) can reduce 243 to:
% 44.72/14.70  																					| (311) $false
% 44.72/14.70  																					|
% 44.72/14.70  																					|-The branch is then unsatisfiable
% 44.72/14.70  																				|-Branch two:
% 44.72/14.70  																				| (1622)  ~ (all_0_79_79 = e2)
% 44.72/14.70  																				| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 44.72/14.70  																				|
% 44.72/14.70  																					+-Applying beta-rule and splitting (3249), into two cases.
% 44.72/14.70  																					|-Branch one:
% 44.72/14.70  																					| (546) all_0_80_80 = e2
% 44.72/14.70  																					|
% 44.72/14.70  																						| Equations (546) can reduce 144 to:
% 44.72/14.70  																						| (395)  ~ (all_0_81_81 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Simplifying 395 yields:
% 44.72/14.70  																						| (396)  ~ (all_0_81_81 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Equations (546) can reduce 49 to:
% 44.72/14.70  																						| (297)  ~ (all_0_92_92 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Simplifying 297 yields:
% 44.72/14.70  																						| (298)  ~ (all_0_92_92 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Equations (546) can reduce 202 to:
% 44.72/14.70  																						| (2376)  ~ (all_0_97_97 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Simplifying 2376 yields:
% 44.72/14.70  																						| (527)  ~ (all_0_97_97 = e2)
% 44.72/14.70  																						|
% 44.72/14.70  																						| Equations (546) can reduce 828 to:
% 44.72/14.70  																						| (243)  ~ (e2 = e1)
% 44.72/14.70  																						|
% 44.72/14.70  																						| From (546) and (233) follows:
% 44.72/14.70  																						| (3296) op(e1, e2) = all_0_60_60
% 44.72/14.70  																						|
% 44.72/14.70  																						+-Applying beta-rule and splitting (41), into two cases.
% 44.72/14.70  																						|-Branch one:
% 44.72/14.70  																						| (530) all_0_82_82 = e2
% 44.72/14.70  																						|
% 44.72/14.70  																							| Equations (530) can reduce 193 to:
% 44.72/14.70  																							| (346)  ~ (all_0_78_78 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 7 to:
% 44.72/14.70  																							| (1631)  ~ (all_0_84_84 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Simplifying 1631 yields:
% 44.72/14.70  																							| (612)  ~ (all_0_84_84 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 209 to:
% 44.72/14.70  																							| (691)  ~ (all_0_85_85 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Simplifying 691 yields:
% 44.72/14.70  																							| (515)  ~ (all_0_85_85 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 255 to:
% 44.72/14.70  																							| (293)  ~ (all_0_90_90 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Simplifying 293 yields:
% 44.72/14.70  																							| (294)  ~ (all_0_90_90 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 200 to:
% 44.72/14.70  																							| (354)  ~ (all_0_95_95 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Simplifying 354 yields:
% 44.72/14.70  																							| (355)  ~ (all_0_95_95 = e2)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 198 to:
% 44.72/14.70  																							| (243)  ~ (e2 = e1)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Equations (530) can reduce 914 to:
% 44.72/14.70  																							| (76)  ~ (e2 = e0)
% 44.72/14.70  																							|
% 44.72/14.70  																							| Instantiating formula (262) with e1, e2, all_0_60_60, e3 and discharging atoms op(e1, e2) = all_0_60_60, op(e1, e2) = e3, yields:
% 44.72/14.70  																							| (1403) all_0_60_60 = e3
% 44.72/14.70  																							|
% 44.72/14.70  																							+-Applying beta-rule and splitting (56), into two cases.
% 44.72/14.70  																							|-Branch one:
% 44.72/14.70  																							| (463) all_0_78_78 = e4
% 44.72/14.70  																							|
% 44.72/14.70  																								| Equations (463) can reduce 278 to:
% 44.72/14.70  																								| (1730)  ~ (all_0_81_81 = e4)
% 44.72/14.70  																								|
% 44.72/14.70  																								| Simplifying 1730 yields:
% 44.72/14.70  																								| (634)  ~ (all_0_81_81 = e4)
% 44.72/14.70  																								|
% 44.72/14.70  																								| Equations (463) can reduce 85 to:
% 44.72/14.70  																								| (466)  ~ (all_0_90_90 = e4)
% 44.72/14.70  																								|
% 44.72/14.70  																								| Simplifying 466 yields:
% 44.72/14.70  																								| (467)  ~ (all_0_90_90 = e4)
% 44.72/14.70  																								|
% 44.72/14.70  																								| Equations (463) can reduce 346 to:
% 44.72/14.70  																								| (79)  ~ (e4 = e2)
% 44.72/14.70  																								|
% 44.72/14.70  																								| Equations (463) can reduce 1601 to:
% 44.72/14.70  																								| (256)  ~ (e4 = e1)
% 44.72/14.70  																								|
% 44.72/14.70  																								+-Applying beta-rule and splitting (27), into two cases.
% 44.72/14.70  																								|-Branch one:
% 44.72/14.70  																								| (746) all_0_90_90 = e2
% 44.72/14.70  																								|
% 44.72/14.70  																									| Equations (746) can reduce 294 to:
% 44.72/14.70  																									| (311) $false
% 44.72/14.70  																									|
% 44.72/14.70  																									|-The branch is then unsatisfiable
% 44.72/14.70  																								|-Branch two:
% 44.72/14.70  																								| (294)  ~ (all_0_90_90 = e2)
% 44.72/14.70  																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 44.72/14.70  																								|
% 44.72/14.70  																									+-Applying beta-rule and splitting (106), into two cases.
% 44.72/14.70  																									|-Branch one:
% 44.72/14.70  																									| (771) all_0_78_78 = e3
% 44.72/14.70  																									|
% 44.72/14.70  																										| Combining equations (463,771) yields a new equation:
% 44.72/14.70  																										| (790) e4 = e3
% 44.72/14.70  																										|
% 44.72/14.70  																										| Simplifying 790 yields:
% 44.72/14.70  																										| (434) e4 = e3
% 44.72/14.70  																										|
% 44.72/14.70  																										| Equations (434) can reduce 177 to:
% 44.72/14.70  																										| (311) $false
% 44.72/14.70  																										|
% 44.72/14.70  																										|-The branch is then unsatisfiable
% 44.72/14.70  																									|-Branch two:
% 44.72/14.70  																									| (418)  ~ (all_0_78_78 = e3)
% 44.72/14.70  																									| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 44.72/14.70  																									|
% 44.72/14.70  																										+-Applying beta-rule and splitting (1756), into two cases.
% 44.72/14.70  																										|-Branch one:
% 44.72/14.70  																										| (1708) all_0_79_79 = e3
% 44.72/14.70  																										|
% 44.72/14.70  																											| Combining equations (457,1708) yields a new equation:
% 44.72/14.70  																											| (772) e3 = e1
% 44.72/14.70  																											|
% 44.72/14.70  																											| Equations (772) can reduce 20 to:
% 44.72/14.70  																											| (311) $false
% 44.72/14.70  																											|
% 44.72/14.70  																											|-The branch is then unsatisfiable
% 44.72/14.70  																										|-Branch two:
% 44.72/14.70  																										| (1711)  ~ (all_0_79_79 = e3)
% 44.72/14.70  																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 44.72/14.70  																										|
% 44.72/14.70  																											+-Applying beta-rule and splitting (1768), into two cases.
% 44.72/14.70  																											|-Branch one:
% 44.72/14.70  																											| (416) all_0_80_80 = e3
% 44.72/14.70  																											|
% 44.72/14.70  																												| Combining equations (546,416) yields a new equation:
% 44.72/14.70  																												| (548) e3 = e2
% 44.72/14.70  																												|
% 44.72/14.70  																												| Equations (548) can reduce 169 to:
% 44.72/14.70  																												| (311) $false
% 44.72/14.70  																												|
% 44.72/14.70  																												|-The branch is then unsatisfiable
% 44.72/14.70  																											|-Branch two:
% 44.72/14.70  																											| (2347)  ~ (all_0_80_80 = e3)
% 44.72/14.70  																											| (635) all_0_81_81 = e3
% 44.72/14.70  																											|
% 44.72/14.70  																												| Equations (635) can reduce 118 to:
% 44.72/14.70  																												| (2358)  ~ (all_0_85_85 = e3)
% 44.72/14.70  																												|
% 44.72/14.70  																												| Simplifying 2358 yields:
% 44.72/14.70  																												| (952)  ~ (all_0_85_85 = e3)
% 44.72/14.70  																												|
% 44.72/14.70  																												| Equations (635) can reduce 634 to:
% 44.72/14.70  																												| (783)  ~ (e4 = e3)
% 44.72/14.70  																												|
% 44.72/14.70  																												| Simplifying 783 yields:
% 44.72/14.70  																												| (177)  ~ (e4 = e3)
% 44.72/14.70  																												|
% 44.72/14.70  																												| Equations (635) can reduce 396 to:
% 44.72/14.70  																												| (169)  ~ (e3 = e2)
% 44.72/14.70  																												|
% 44.72/14.70  																												| Equations (635) can reduce 257 to:
% 44.72/14.70  																												| (50)  ~ (e3 = e0)
% 44.72/14.70  																												|
% 44.72/14.70  																												+-Applying beta-rule and splitting (749), into two cases.
% 44.72/14.70  																												|-Branch one:
% 44.72/14.70  																												| (750) all_0_90_90 = e1
% 44.72/14.70  																												|
% 44.72/14.70  																													| Equations (750) can reduce 678 to:
% 44.72/14.70  																													| (311) $false
% 44.72/14.70  																													|
% 44.72/14.70  																													|-The branch is then unsatisfiable
% 44.72/14.70  																												|-Branch two:
% 44.72/14.70  																												| (678)  ~ (all_0_90_90 = e1)
% 44.72/14.70  																												| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 44.72/14.70  																												|
% 44.72/14.70  																													+-Applying beta-rule and splitting (220), into two cases.
% 44.72/14.70  																													|-Branch one:
% 44.72/14.70  																													| (771) all_0_78_78 = e3
% 44.72/14.70  																													|
% 44.72/14.70  																														| Combining equations (463,771) yields a new equation:
% 44.72/14.70  																														| (790) e4 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																														| Simplifying 790 yields:
% 44.72/14.70  																														| (434) e4 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																														| Equations (434) can reduce 177 to:
% 44.72/14.70  																														| (311) $false
% 44.72/14.70  																														|
% 44.72/14.70  																														|-The branch is then unsatisfiable
% 44.72/14.70  																													|-Branch two:
% 44.72/14.70  																													| (418)  ~ (all_0_78_78 = e3)
% 44.72/14.70  																													| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.72/14.70  																													|
% 44.72/14.70  																														+-Applying beta-rule and splitting (775), into two cases.
% 44.72/14.70  																														|-Branch one:
% 44.72/14.70  																														| (789) all_0_82_82 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																															| Combining equations (789,530) yields a new equation:
% 44.72/14.70  																															| (547) e3 = e2
% 44.72/14.70  																															|
% 44.72/14.70  																															| Simplifying 547 yields:
% 44.72/14.70  																															| (548) e3 = e2
% 44.72/14.70  																															|
% 44.72/14.70  																															| Equations (548) can reduce 169 to:
% 44.72/14.70  																															| (311) $false
% 44.72/14.70  																															|
% 44.72/14.70  																															|-The branch is then unsatisfiable
% 44.72/14.70  																														|-Branch two:
% 44.72/14.70  																														| (793)  ~ (all_0_82_82 = e3)
% 44.72/14.70  																														| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 44.72/14.70  																														|
% 44.72/14.70  																															+-Applying beta-rule and splitting (794), into two cases.
% 44.72/14.70  																															|-Branch one:
% 44.72/14.70  																															| (754) all_0_90_90 = e3
% 44.72/14.70  																															|
% 44.72/14.70  																																| Equations (754) can reduce 745 to:
% 44.72/14.70  																																| (311) $false
% 44.72/14.70  																																|
% 44.72/14.70  																																|-The branch is then unsatisfiable
% 44.72/14.70  																															|-Branch two:
% 44.72/14.70  																															| (745)  ~ (all_0_90_90 = e3)
% 44.72/14.70  																															| (744) all_0_95_95 = e3
% 44.72/14.70  																															|
% 44.72/14.70  																																| Equations (744) can reduce 229 to:
% 44.72/14.70  																																| (745)  ~ (all_0_90_90 = e3)
% 44.72/14.70  																																|
% 44.72/14.70  																																| Equations (744) can reduce 107 to:
% 44.72/14.70  																																| (1518)  ~ (all_0_98_98 = e3)
% 44.72/14.70  																																|
% 44.72/14.70  																																| Simplifying 1518 yields:
% 44.72/14.70  																																| (1519)  ~ (all_0_98_98 = e3)
% 44.72/14.70  																																|
% 44.72/14.70  																																| Equations (744) can reduce 355 to:
% 44.72/14.70  																																| (169)  ~ (e3 = e2)
% 44.72/14.70  																																|
% 44.72/14.70  																																| Equations (744) can reduce 680 to:
% 44.72/14.70  																																| (20)  ~ (e3 = e1)
% 44.72/14.70  																																|
% 44.72/14.70  																																+-Applying beta-rule and splitting (102), into two cases.
% 44.72/14.70  																																|-Branch one:
% 44.72/14.70  																																| (858) all_0_95_95 = e0
% 44.72/14.70  																																|
% 44.72/14.70  																																	| Combining equations (744,858) yields a new equation:
% 44.72/14.70  																																	| (599) e3 = e0
% 44.72/14.70  																																	|
% 44.72/14.70  																																	| Simplifying 599 yields:
% 44.72/14.70  																																	| (600) e3 = e0
% 44.72/14.70  																																	|
% 44.72/14.70  																																	| Equations (600) can reduce 50 to:
% 44.72/14.70  																																	| (311) $false
% 44.72/14.70  																																	|
% 44.72/14.70  																																	|-The branch is then unsatisfiable
% 44.72/14.70  																																|-Branch two:
% 44.72/14.70  																																| (893)  ~ (all_0_95_95 = e0)
% 44.72/14.70  																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.72/14.70  																																|
% 44.83/14.70  																																	+-Applying beta-rule and splitting (1921), into two cases.
% 44.83/14.70  																																	|-Branch one:
% 44.83/14.70  																																	| (1837) all_0_96_96 = e0
% 44.83/14.70  																																	|
% 44.83/14.70  																																		| Combining equations (1837,1704) yields a new equation:
% 44.83/14.70  																																		| (379) e2 = e0
% 44.83/14.70  																																		|
% 44.83/14.70  																																		| Equations (379) can reduce 76 to:
% 44.83/14.70  																																		| (311) $false
% 44.83/14.70  																																		|
% 44.83/14.70  																																		|-The branch is then unsatisfiable
% 44.83/14.70  																																	|-Branch two:
% 44.83/14.70  																																	| (2095)  ~ (all_0_96_96 = e0)
% 44.83/14.70  																																	| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.83/14.70  																																	|
% 44.83/14.70  																																		+-Applying beta-rule and splitting (2096), into two cases.
% 44.83/14.70  																																		|-Branch one:
% 44.83/14.70  																																		| (560) all_0_97_97 = e0
% 44.83/14.70  																																		|
% 44.83/14.70  																																			| Equations (560) can reduce 609 to:
% 44.83/14.70  																																			| (311) $false
% 44.83/14.70  																																			|
% 44.83/14.70  																																			|-The branch is then unsatisfiable
% 44.83/14.70  																																		|-Branch two:
% 44.83/14.70  																																		| (609)  ~ (all_0_97_97 = e0)
% 44.83/14.70  																																		| (1121) all_0_98_98 = e0
% 44.83/14.70  																																		|
% 44.83/14.70  																																			| Equations (1121) can reduce 75 to:
% 44.83/14.70  																																			| (800)  ~ (all_0_85_85 = e0)
% 44.83/14.70  																																			|
% 44.83/14.70  																																			| Equations (1121) can reduce 13 to:
% 44.83/14.71  																																			| (509)  ~ (all_0_93_93 = e0)
% 44.83/14.71  																																			|
% 44.83/14.71  																																			| Equations (1121) can reduce 148 to:
% 44.83/14.71  																																			| (609)  ~ (all_0_97_97 = e0)
% 44.83/14.71  																																			|
% 44.83/14.71  																																			| Equations (1121) can reduce 1519 to:
% 44.83/14.71  																																			| (906)  ~ (e3 = e0)
% 44.83/14.71  																																			|
% 44.83/14.71  																																			| Simplifying 906 yields:
% 44.83/14.71  																																			| (50)  ~ (e3 = e0)
% 44.83/14.71  																																			|
% 44.83/14.71  																																			+-Applying beta-rule and splitting (108), into two cases.
% 44.83/14.71  																																			|-Branch one:
% 44.83/14.71  																																			| (477) all_0_81_81 = e1
% 44.83/14.71  																																			|
% 44.83/14.71  																																				| Combining equations (635,477) yields a new equation:
% 44.83/14.71  																																				| (825) e3 = e1
% 44.83/14.71  																																				|
% 44.83/14.71  																																				| Simplifying 825 yields:
% 44.83/14.71  																																				| (772) e3 = e1
% 44.83/14.71  																																				|
% 44.83/14.71  																																				| Equations (772) can reduce 20 to:
% 44.83/14.71  																																				| (311) $false
% 44.83/14.71  																																				|
% 44.83/14.71  																																				|-The branch is then unsatisfiable
% 44.83/14.71  																																			|-Branch two:
% 44.83/14.71  																																			| (628)  ~ (all_0_81_81 = e1)
% 44.83/14.71  																																			| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 44.83/14.71  																																			|
% 44.83/14.71  																																				+-Applying beta-rule and splitting (291), into two cases.
% 44.83/14.71  																																				|-Branch one:
% 44.83/14.71  																																				| (758) all_0_90_90 = e0
% 44.83/14.71  																																				|
% 44.83/14.71  																																					| Equations (758) can reduce 467 to:
% 44.83/14.71  																																					| (904)  ~ (e4 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| Simplifying 904 yields:
% 44.83/14.71  																																					| (23)  ~ (e4 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| Equations (758) can reduce 745 to:
% 44.83/14.71  																																					| (906)  ~ (e3 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| Simplifying 906 yields:
% 44.83/14.71  																																					| (50)  ~ (e3 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| Equations (758) can reduce 678 to:
% 44.83/14.71  																																					| (859)  ~ (e1 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| Simplifying 859 yields:
% 44.83/14.71  																																					| (264)  ~ (e1 = e0)
% 44.83/14.71  																																					|
% 44.83/14.71  																																					| From (758) and (218) follows:
% 44.83/14.71  																																					| (8938) op(e1, e3) = e0
% 44.83/14.71  																																					|
% 44.83/14.71  																																					+-Applying beta-rule and splitting (817), into two cases.
% 44.83/14.71  																																					|-Branch one:
% 44.83/14.71  																																					| (504) all_0_88_88 = e1
% 44.83/14.71  																																					|
% 44.83/14.71  																																						| Combining equations (504,370) yields a new equation:
% 44.83/14.71  																																						| (385) e2 = e1
% 44.83/14.71  																																						|
% 44.83/14.71  																																						| Equations (385) can reduce 243 to:
% 44.83/14.71  																																						| (311) $false
% 44.83/14.71  																																						|
% 44.83/14.71  																																						|-The branch is then unsatisfiable
% 44.83/14.71  																																					|-Branch two:
% 44.83/14.71  																																					| (479)  ~ (all_0_88_88 = e1)
% 44.83/14.71  																																					| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 44.83/14.71  																																					|
% 44.83/14.71  																																						+-Applying beta-rule and splitting (897), into two cases.
% 44.83/14.71  																																						|-Branch one:
% 44.83/14.71  																																						| (566) all_0_93_93 = e1
% 44.83/14.71  																																						|
% 44.83/14.71  																																							| Combining equations (566,8320) yields a new equation:
% 44.83/14.71  																																							| (10723) all_0_64_64 = e1
% 44.83/14.71  																																							|
% 44.83/14.71  																																							| From (566) and (25) follows:
% 44.83/14.71  																																							| (23192) op(e1, e1) = all_0_28_28
% 44.83/14.71  																																							|
% 44.83/14.71  																																							+-Applying beta-rule and splitting (46), into two cases.
% 44.83/14.71  																																							|-Branch one:
% 44.83/14.71  																																							| (308) all_0_89_89 = e4
% 44.83/14.71  																																							|
% 44.83/14.71  																																								| Combining equations (308,292) yields a new equation:
% 44.83/14.71  																																								| (309) e4 = e2
% 44.83/14.71  																																								|
% 44.83/14.71  																																								| Simplifying 309 yields:
% 44.83/14.71  																																								| (310) e4 = e2
% 44.83/14.71  																																								|
% 44.83/14.71  																																								| Equations (310) can reduce 79 to:
% 44.83/14.71  																																								| (311) $false
% 44.83/14.71  																																								|
% 44.83/14.71  																																								|-The branch is then unsatisfiable
% 44.83/14.71  																																							|-Branch two:
% 44.83/14.71  																																							| (312)  ~ (all_0_89_89 = e4)
% 44.83/14.71  																																							| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.83/14.71  																																							|
% 44.83/14.71  																																								+-Applying beta-rule and splitting (1915), into two cases.
% 44.83/14.71  																																								|-Branch one:
% 44.83/14.71  																																								| (583) all_0_90_90 = e4
% 44.83/14.71  																																								|
% 44.83/14.71  																																									| Combining equations (583,758) yields a new equation:
% 44.83/14.71  																																									| (911) e4 = e0
% 44.83/14.71  																																									|
% 44.83/14.71  																																									| Simplifying 911 yields:
% 44.83/14.71  																																									| (912) e4 = e0
% 44.83/14.71  																																									|
% 44.83/14.71  																																									| Equations (912) can reduce 23 to:
% 44.83/14.71  																																									| (311) $false
% 44.83/14.71  																																									|
% 44.83/14.71  																																									|-The branch is then unsatisfiable
% 44.83/14.71  																																								|-Branch two:
% 44.83/14.71  																																								| (467)  ~ (all_0_90_90 = e4)
% 44.83/14.71  																																								| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.83/14.71  																																								|
% 44.83/14.71  																																									+-Applying beta-rule and splitting (1928), into two cases.
% 44.83/14.71  																																									|-Branch one:
% 44.83/14.71  																																									| (442) all_0_92_92 = e4
% 44.83/14.71  																																									|
% 44.83/14.71  																																										| Equations (442) can reduce 87 to:
% 44.83/14.71  																																										| (417)  ~ (all_0_84_84 = e4)
% 44.83/14.71  																																										|
% 44.83/14.71  																																										| Equations (442) can reduce 258 to:
% 44.83/14.71  																																										| (318)  ~ (all_0_97_97 = e4)
% 44.83/14.71  																																										|
% 44.83/14.71  																																										| Simplifying 318 yields:
% 44.83/14.71  																																										| (319)  ~ (all_0_97_97 = e4)
% 44.83/14.71  																																										|
% 44.83/14.71  																																										| Equations (442) can reduce 298 to:
% 44.83/14.71  																																										| (79)  ~ (e4 = e2)
% 44.83/14.71  																																										|
% 44.83/14.71  																																										| From (442) and (135) follows:
% 44.83/14.71  																																										| (449) op(e1, e1) = e4
% 44.83/14.71  																																										|
% 44.83/14.71  																																										+-Applying beta-rule and splitting (109), into two cases.
% 44.83/14.71  																																										|-Branch one:
% 44.83/14.71  																																										| (469) all_0_82_82 = e4
% 44.83/14.71  																																										|
% 44.83/14.71  																																											| Combining equations (530,469) yields a new equation:
% 44.83/14.71  																																											| (310) e4 = e2
% 44.83/14.71  																																											|
% 44.83/14.71  																																											| Equations (310) can reduce 79 to:
% 44.83/14.71  																																											| (311) $false
% 44.83/14.71  																																											|
% 44.83/14.71  																																											|-The branch is then unsatisfiable
% 44.83/14.71  																																										|-Branch two:
% 44.83/14.71  																																										| (465)  ~ (all_0_82_82 = e4)
% 44.83/14.71  																																										| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.83/14.71  																																										|
% 44.83/14.71  																																											+-Applying beta-rule and splitting (207), into two cases.
% 44.83/14.71  																																											|-Branch one:
% 44.83/14.71  																																											| (416) all_0_80_80 = e3
% 44.83/14.71  																																											|
% 44.83/14.71  																																												| Combining equations (546,416) yields a new equation:
% 44.83/14.71  																																												| (548) e3 = e2
% 44.83/14.71  																																												|
% 44.83/14.71  																																												| Equations (548) can reduce 169 to:
% 44.83/14.71  																																												| (311) $false
% 44.83/14.71  																																												|
% 44.83/14.71  																																												|-The branch is then unsatisfiable
% 44.83/14.71  																																											|-Branch two:
% 44.83/14.71  																																											| (2347)  ~ (all_0_80_80 = e3)
% 44.83/14.71  																																											| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.83/14.71  																																											|
% 44.83/14.71  																																												| Equations (546) can reduce 2347 to:
% 44.83/14.71  																																												| (356)  ~ (e3 = e2)
% 44.83/14.71  																																												|
% 44.83/14.71  																																												| Simplifying 356 yields:
% 44.83/14.71  																																												| (169)  ~ (e3 = e2)
% 44.83/14.71  																																												|
% 44.83/14.71  																																												+-Applying beta-rule and splitting (171), into two cases.
% 44.83/14.71  																																												|-Branch one:
% 44.83/14.71  																																												| (789) all_0_82_82 = e3
% 44.83/14.71  																																												|
% 44.83/14.71  																																													| Combining equations (530,789) yields a new equation:
% 44.83/14.71  																																													| (548) e3 = e2
% 44.83/14.71  																																													|
% 44.83/14.71  																																													| Equations (548) can reduce 169 to:
% 44.83/14.71  																																													| (311) $false
% 44.83/14.71  																																													|
% 44.83/14.71  																																													|-The branch is then unsatisfiable
% 44.83/14.71  																																												|-Branch two:
% 44.83/14.71  																																												| (793)  ~ (all_0_82_82 = e3)
% 44.83/14.71  																																												| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.83/14.71  																																												|
% 44.83/14.71  																																													+-Applying beta-rule and splitting (112), into two cases.
% 44.83/14.71  																																													|-Branch one:
% 44.83/14.71  																																													| (538) all_0_97_97 = e2
% 44.83/14.71  																																													|
% 44.83/14.71  																																														| Equations (538) can reduce 527 to:
% 44.83/14.71  																																														| (311) $false
% 44.83/14.71  																																														|
% 44.83/14.71  																																														|-The branch is then unsatisfiable
% 44.83/14.71  																																													|-Branch two:
% 44.83/14.71  																																													| (527)  ~ (all_0_97_97 = e2)
% 44.83/14.71  																																													| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.83/14.71  																																													|
% 44.83/14.71  																																														+-Applying beta-rule and splitting (472), into two cases.
% 44.83/14.71  																																														|-Branch one:
% 44.83/14.71  																																														| (438) all_0_84_84 = e4
% 44.83/14.71  																																														|
% 44.83/14.71  																																															| Equations (438) can reduce 417 to:
% 44.83/14.71  																																															| (311) $false
% 44.83/14.71  																																															|
% 44.83/14.71  																																															|-The branch is then unsatisfiable
% 44.83/14.71  																																														|-Branch two:
% 44.83/14.71  																																														| (417)  ~ (all_0_84_84 = e4)
% 44.83/14.71  																																														| (493) all_0_85_85 = e4
% 44.83/14.71  																																														|
% 44.83/14.71  																																															| Equations (493) can reduce 154 to:
% 44.83/14.71  																																															| (417)  ~ (all_0_84_84 = e4)
% 44.83/14.71  																																															|
% 44.83/14.71  																																															| Equations (493) can reduce 952 to:
% 44.83/14.71  																																															| (177)  ~ (e4 = e3)
% 44.83/14.71  																																															|
% 44.83/14.71  																																															| Equations (493) can reduce 800 to:
% 44.83/14.71  																																															| (23)  ~ (e4 = e0)
% 44.83/14.71  																																															|
% 44.83/14.71  																																															+-Applying beta-rule and splitting (1296), into two cases.
% 44.83/14.71  																																															|-Branch one:
% 44.83/14.71  																																															| (795) all_0_83_83 = e3
% 44.83/14.71  																																															|
% 44.83/14.71  																																																| Combining equations (798,795) yields a new equation:
% 44.83/14.71  																																																| (600) e3 = e0
% 44.83/14.71  																																																|
% 44.83/14.71  																																																| Equations (600) can reduce 50 to:
% 44.83/14.71  																																																| (311) $false
% 44.83/14.71  																																																|
% 44.83/14.71  																																																|-The branch is then unsatisfiable
% 44.83/14.71  																																															|-Branch two:
% 44.83/14.71  																																															| (779)  ~ (all_0_83_83 = e3)
% 44.83/14.71  																																															| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.83/14.71  																																															|
% 44.83/14.71  																																																+-Applying beta-rule and splitting (1594), into two cases.
% 44.83/14.71  																																																|-Branch one:
% 44.83/14.71  																																																| (1265) all_0_84_84 = e3
% 44.83/14.71  																																																|
% 44.83/14.71  																																																	| Equations (1265) can reduce 195 to:
% 44.83/14.71  																																																	| (427)  ~ (all_0_97_97 = e3)
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	| Simplifying 427 yields:
% 44.83/14.71  																																																	| (428)  ~ (all_0_97_97 = e3)
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	| Equations (1265) can reduce 417 to:
% 44.83/14.71  																																																	| (783)  ~ (e4 = e3)
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	| Simplifying 783 yields:
% 44.83/14.71  																																																	| (177)  ~ (e4 = e3)
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	| Equations (1265) can reduce 919 to:
% 44.83/14.71  																																																	| (50)  ~ (e3 = e0)
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	| From (1265) and (122) follows:
% 44.83/14.71  																																																	| (3507) op(e1, e3) = all_0_62_62
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																	+-Applying beta-rule and splitting (541), into two cases.
% 44.83/14.71  																																																	|-Branch one:
% 44.83/14.71  																																																	| (542) all_0_97_97 = e1
% 44.83/14.71  																																																	|
% 44.83/14.71  																																																		| Equations (542) can reduce 527 to:
% 44.83/14.71  																																																		| (487)  ~ (e2 = e1)
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| Simplifying 487 yields:
% 44.83/14.71  																																																		| (243)  ~ (e2 = e1)
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| From (542) and (260) follows:
% 44.83/14.71  																																																		| (18969) op(e1, e1) = all_0_37_37
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| From (542) and (252) follows:
% 44.83/14.71  																																																		| (3446) op(e1, e1) = all_0_67_67
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| Instantiating formula (262) with e1, e3, e0, all_0_62_62 and discharging atoms op(e1, e3) = all_0_62_62, op(e1, e3) = e0, yields:
% 44.83/14.71  																																																		| (8348) all_0_62_62 = e0
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| Instantiating formula (262) with e1, e1, all_0_37_37, all_0_28_28 and discharging atoms op(e1, e1) = all_0_28_28, op(e1, e1) = all_0_37_37, yields:
% 44.83/14.71  																																																		| (23196) all_0_28_28 = all_0_37_37
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| Instantiating formula (262) with e1, e1, all_0_67_67, all_0_28_28 and discharging atoms op(e1, e1) = all_0_28_28, op(e1, e1) = all_0_67_67, yields:
% 44.83/14.71  																																																		| (23938) all_0_28_28 = all_0_67_67
% 44.83/14.71  																																																		|
% 44.83/14.71  																																																		| Instantiating formula (262) with e1, e1, e4, all_0_37_37 and discharging atoms op(e1, e1) = all_0_37_37, op(e1, e1) = e4, yields:
% 44.83/14.71  																																																		| (23201) all_0_37_37 = e4
% 44.83/14.71  																																																		|
% 44.83/14.72  																																																		| Combining equations (23196,23938) yields a new equation:
% 44.83/14.72  																																																		| (19010) all_0_37_37 = all_0_67_67
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																		| Simplifying 19010 yields:
% 44.83/14.72  																																																		| (19011) all_0_37_37 = all_0_67_67
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																		| Combining equations (23201,19011) yields a new equation:
% 44.83/14.72  																																																		| (3520) all_0_67_67 = e4
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																		+-Applying beta-rule and splitting (276), into two cases.
% 44.83/14.72  																																																		|-Branch one:
% 44.83/14.72  																																																		| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																			+-Applying beta-rule and splitting (577), into two cases.
% 44.83/14.72  																																																			|-Branch one:
% 44.83/14.72  																																																			| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																				+-Applying beta-rule and splitting (578), into two cases.
% 44.83/14.72  																																																				|-Branch one:
% 44.83/14.72  																																																				| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																					| Applying alpha-rule on (579) yields:
% 44.83/14.72  																																																					| (580) all_0_60_60 = e4
% 44.83/14.72  																																																					| (581)  ~ (all_0_61_61 = e1)
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					| Combining equations (1403,580) yields a new equation:
% 44.83/14.72  																																																					| (434) e4 = e3
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					| Equations (434) can reduce 177 to:
% 44.83/14.72  																																																					| (311) $false
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					|-The branch is then unsatisfiable
% 44.83/14.72  																																																				|-Branch two:
% 44.83/14.72  																																																				| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																					| Applying alpha-rule on (585) yields:
% 44.83/14.72  																																																					| (586) all_0_62_62 = e3
% 44.83/14.72  																																																					| (587)  ~ (all_0_63_63 = e1)
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					| Combining equations (8348,586) yields a new equation:
% 44.83/14.72  																																																					| (600) e3 = e0
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					| Equations (600) can reduce 50 to:
% 44.83/14.72  																																																					| (311) $false
% 44.83/14.72  																																																					|
% 44.83/14.72  																																																					|-The branch is then unsatisfiable
% 44.83/14.72  																																																			|-Branch two:
% 44.83/14.72  																																																			| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																				| Applying alpha-rule on (590) yields:
% 44.83/14.72  																																																				| (591) all_0_64_64 = e2
% 44.83/14.72  																																																				| (592)  ~ (all_0_65_65 = e1)
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																				| Combining equations (10723,591) yields a new equation:
% 44.83/14.72  																																																				| (385) e2 = e1
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																				| Equations (385) can reduce 243 to:
% 44.83/14.72  																																																				| (311) $false
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																				|-The branch is then unsatisfiable
% 44.83/14.72  																																																		|-Branch two:
% 44.83/14.72  																																																		| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																			| Applying alpha-rule on (596) yields:
% 44.83/14.72  																																																			| (597) all_0_67_67 = e0
% 44.83/14.72  																																																			| (598)  ~ (all_0_68_68 = e1)
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																			| Combining equations (3520,597) yields a new equation:
% 44.83/14.72  																																																			| (911) e4 = e0
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																			| Simplifying 911 yields:
% 44.83/14.72  																																																			| (912) e4 = e0
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																			| Equations (912) can reduce 23 to:
% 44.83/14.72  																																																			| (311) $false
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																			|-The branch is then unsatisfiable
% 44.83/14.72  																																																	|-Branch two:
% 44.83/14.72  																																																	| (486)  ~ (all_0_97_97 = e1)
% 44.83/14.72  																																																	| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 44.83/14.72  																																																	|
% 44.83/14.72  																																																		+-Applying beta-rule and splitting (545), into two cases.
% 44.83/14.72  																																																		|-Branch one:
% 44.83/14.72  																																																		| (556) all_0_97_97 = e3
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																			| Equations (556) can reduce 428 to:
% 44.83/14.72  																																																			| (311) $false
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																			|-The branch is then unsatisfiable
% 44.83/14.72  																																																		|-Branch two:
% 44.83/14.72  																																																		| (428)  ~ (all_0_97_97 = e3)
% 44.83/14.72  																																																		| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 44.83/14.72  																																																		|
% 44.83/14.72  																																																			+-Applying beta-rule and splitting (559), into two cases.
% 44.83/14.72  																																																			|-Branch one:
% 44.83/14.72  																																																			| (560) all_0_97_97 = e0
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																				| Equations (560) can reduce 609 to:
% 44.83/14.72  																																																				| (311) $false
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																				|-The branch is then unsatisfiable
% 44.83/14.72  																																																			|-Branch two:
% 44.83/14.72  																																																			| (609)  ~ (all_0_97_97 = e0)
% 44.83/14.72  																																																			| (610) all_0_97_97 = e4
% 44.83/14.72  																																																			|
% 44.83/14.72  																																																				| Equations (610) can reduce 319 to:
% 44.83/14.72  																																																				| (311) $false
% 44.83/14.72  																																																				|
% 44.83/14.72  																																																				|-The branch is then unsatisfiable
% 44.83/14.72  																																																|-Branch two:
% 44.83/14.72  																																																| (422)  ~ (all_0_84_84 = e3)
% 44.83/14.72  																																																| (804) all_0_85_85 = e3
% 44.83/14.72  																																																|
% 44.83/14.72  																																																	| Combining equations (493,804) yields a new equation:
% 44.83/14.72  																																																	| (790) e4 = e3
% 44.83/14.72  																																																	|
% 44.83/14.72  																																																	| Simplifying 790 yields:
% 44.83/14.72  																																																	| (434) e4 = e3
% 44.83/14.72  																																																	|
% 44.83/14.72  																																																	| Equations (434) can reduce 177 to:
% 44.83/14.72  																																																	| (311) $false
% 44.83/14.72  																																																	|
% 44.83/14.72  																																																	|-The branch is then unsatisfiable
% 44.83/14.72  																																									|-Branch two:
% 44.83/14.72  																																									| (1619)  ~ (all_0_92_92 = e4)
% 44.83/14.72  																																									| (607) all_0_93_93 = e4
% 44.83/14.72  																																									|
% 44.83/14.72  																																										| Combining equations (566,607) yields a new equation:
% 44.83/14.72  																																										| (814) e4 = e1
% 44.83/14.72  																																										|
% 44.83/14.72  																																										| Equations (814) can reduce 256 to:
% 44.83/14.72  																																										| (311) $false
% 44.83/14.72  																																										|
% 44.83/14.72  																																										|-The branch is then unsatisfiable
% 44.83/14.72  																																						|-Branch two:
% 44.83/14.72  																																						| (481)  ~ (all_0_93_93 = e1)
% 44.83/14.72  																																						| (1543) all_0_98_98 = e1
% 44.83/14.72  																																						|
% 44.83/14.72  																																							| Combining equations (1543,1121) yields a new equation:
% 44.83/14.72  																																							| (1107) e1 = e0
% 44.83/14.72  																																							|
% 44.83/14.72  																																							| Simplifying 1107 yields:
% 44.83/14.72  																																							| (865) e1 = e0
% 44.83/14.72  																																							|
% 44.83/14.72  																																							| Equations (865) can reduce 264 to:
% 44.83/14.72  																																							| (311) $false
% 44.83/14.72  																																							|
% 44.83/14.72  																																							|-The branch is then unsatisfiable
% 44.83/14.72  																																				|-Branch two:
% 44.83/14.72  																																				| (762)  ~ (all_0_90_90 = e0)
% 44.83/14.72  																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 44.83/14.72  																																				|
% 44.83/14.72  																																					+-Applying beta-rule and splitting (1455), into two cases.
% 44.83/14.72  																																					|-Branch one:
% 44.83/14.72  																																					| (1456) all_0_91_91 = e0
% 44.83/14.72  																																					|
% 44.83/14.72  																																						| Combining equations (588,1456) yields a new equation:
% 44.83/14.72  																																						| (599) e3 = e0
% 44.83/14.72  																																						|
% 44.83/14.72  																																						| Simplifying 599 yields:
% 44.83/14.72  																																						| (600) e3 = e0
% 44.83/14.72  																																						|
% 44.83/14.72  																																						| Equations (600) can reduce 50 to:
% 44.83/14.72  																																						| (311) $false
% 44.83/14.72  																																						|
% 44.83/14.72  																																						|-The branch is then unsatisfiable
% 44.83/14.72  																																					|-Branch two:
% 44.83/14.72  																																					| (1487)  ~ (all_0_91_91 = e0)
% 44.83/14.72  																																					| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 44.83/14.72  																																					|
% 44.83/14.72  																																						+-Applying beta-rule and splitting (1488), into two cases.
% 44.83/14.72  																																						|-Branch one:
% 44.83/14.72  																																						| (942) all_0_92_92 = e0
% 44.83/14.72  																																						|
% 44.83/14.72  																																							| Equations (942) can reduce 946 to:
% 44.83/14.72  																																							| (311) $false
% 44.83/14.72  																																							|
% 44.83/14.72  																																							|-The branch is then unsatisfiable
% 44.83/14.72  																																						|-Branch two:
% 44.83/14.72  																																						| (946)  ~ (all_0_92_92 = e0)
% 44.83/14.72  																																						| (604) all_0_93_93 = e0
% 44.83/14.72  																																						|
% 44.83/14.72  																																							| Equations (604) can reduce 509 to:
% 44.83/14.72  																																							| (311) $false
% 44.83/14.72  																																							|
% 44.83/14.72  																																							|-The branch is then unsatisfiable
% 44.83/14.72  																							|-Branch two:
% 44.83/14.72  																							| (640)  ~ (all_0_78_78 = e4)
% 44.83/14.72  																							| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.83/14.72  																							|
% 44.83/14.72  																								+-Applying beta-rule and splitting (641), into two cases.
% 44.83/14.72  																								|-Branch one:
% 44.83/14.72  																								| (433) all_0_80_80 = e4
% 44.83/14.72  																								|
% 44.83/14.72  																									| Combining equations (546,433) yields a new equation:
% 44.83/14.72  																									| (310) e4 = e2
% 44.83/14.72  																									|
% 44.83/14.72  																									| Equations (310) can reduce 79 to:
% 44.83/14.72  																									| (311) $false
% 44.83/14.72  																									|
% 44.83/14.72  																									|-The branch is then unsatisfiable
% 44.83/14.72  																								|-Branch two:
% 44.83/14.72  																								| (436)  ~ (all_0_80_80 = e4)
% 44.83/14.72  																								| (638) all_0_81_81 = e4
% 44.83/14.72  																								|
% 44.83/14.72  																									| Equations (638) can reduce 278 to:
% 44.83/14.72  																									| (640)  ~ (all_0_78_78 = e4)
% 44.83/14.72  																									|
% 44.83/14.72  																									| Equations (638) can reduce 118 to:
% 44.83/14.72  																									| (647)  ~ (all_0_85_85 = e4)
% 44.83/14.72  																									|
% 44.83/14.72  																									| Simplifying 647 yields:
% 44.83/14.72  																									| (648)  ~ (all_0_85_85 = e4)
% 44.83/14.72  																									|
% 44.83/14.72  																									| Equations (638) can reduce 277 to:
% 44.83/14.72  																									| (495)  ~ (all_0_93_93 = e4)
% 44.83/14.72  																									|
% 44.83/14.72  																									| Simplifying 495 yields:
% 44.83/14.72  																									| (496)  ~ (all_0_93_93 = e4)
% 44.83/14.72  																									|
% 44.83/14.72  																									| Equations (638) can reduce 396 to:
% 44.83/14.72  																									| (79)  ~ (e4 = e2)
% 44.83/14.72  																									|
% 44.83/14.72  																									+-Applying beta-rule and splitting (109), into two cases.
% 44.83/14.72  																									|-Branch one:
% 44.83/14.72  																									| (469) all_0_82_82 = e4
% 44.83/14.72  																									|
% 44.83/14.72  																										| Combining equations (469,530) yields a new equation:
% 44.83/14.72  																										| (309) e4 = e2
% 44.83/14.72  																										|
% 44.83/14.72  																										| Simplifying 309 yields:
% 44.83/14.72  																										| (310) e4 = e2
% 44.83/14.72  																										|
% 44.83/14.72  																										| Equations (310) can reduce 79 to:
% 44.83/14.72  																										| (311) $false
% 44.83/14.72  																										|
% 44.83/14.72  																										|-The branch is then unsatisfiable
% 44.83/14.72  																									|-Branch two:
% 44.83/14.72  																									| (465)  ~ (all_0_82_82 = e4)
% 44.83/14.72  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.83/14.72  																									|
% 44.83/14.72  																										+-Applying beta-rule and splitting (24), into two cases.
% 44.83/14.72  																										|-Branch one:
% 44.83/14.72  																										| (400) all_0_78_78 = e2
% 44.83/14.72  																										|
% 44.83/14.72  																											| Equations (400) can reduce 346 to:
% 44.83/14.72  																											| (311) $false
% 44.83/14.72  																											|
% 44.83/14.72  																											|-The branch is then unsatisfiable
% 44.83/14.72  																										|-Branch two:
% 44.83/14.72  																										| (346)  ~ (all_0_78_78 = e2)
% 44.83/14.72  																										| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.83/14.72  																										|
% 44.83/14.72  																											+-Applying beta-rule and splitting (675), into two cases.
% 44.83/14.72  																											|-Branch one:
% 44.83/14.72  																											| (676) all_0_78_78 = e1
% 44.83/14.72  																											|
% 44.83/14.72  																												| Equations (676) can reduce 1601 to:
% 44.83/14.72  																												| (311) $false
% 44.83/14.72  																												|
% 44.83/14.72  																												|-The branch is then unsatisfiable
% 44.83/14.72  																											|-Branch two:
% 44.83/14.72  																											| (1601)  ~ (all_0_78_78 = e1)
% 44.83/14.72  																											| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.83/14.72  																											|
% 44.83/14.72  																												+-Applying beta-rule and splitting (1606), into two cases.
% 44.83/14.72  																												|-Branch one:
% 44.83/14.72  																												| (771) all_0_78_78 = e3
% 44.83/14.72  																												|
% 44.83/14.72  																													| Equations (771) can reduce 85 to:
% 44.83/14.72  																													| (1815)  ~ (all_0_90_90 = e3)
% 44.83/14.72  																													|
% 44.83/14.72  																													| Simplifying 1815 yields:
% 44.83/14.72  																													| (745)  ~ (all_0_90_90 = e3)
% 44.83/14.72  																													|
% 44.83/14.72  																													+-Applying beta-rule and splitting (182), into two cases.
% 44.83/14.72  																													|-Branch one:
% 44.83/14.72  																													| (512) all_0_85_85 = e2
% 44.83/14.72  																													|
% 44.83/14.72  																														| Equations (512) can reduce 515 to:
% 44.83/14.72  																														| (311) $false
% 44.83/14.72  																														|
% 44.83/14.72  																														|-The branch is then unsatisfiable
% 44.83/14.72  																													|-Branch two:
% 44.83/14.72  																													| (515)  ~ (all_0_85_85 = e2)
% 44.83/14.72  																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 44.83/14.72  																													|
% 44.83/14.72  																														+-Applying beta-rule and splitting (725), into two cases.
% 44.83/14.72  																														|-Branch one:
% 44.83/14.72  																														| (804) all_0_85_85 = e3
% 44.83/14.72  																														|
% 44.83/14.72  																															| Equations (804) can reduce 154 to:
% 44.83/14.72  																															| (422)  ~ (all_0_84_84 = e3)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Equations (804) can reduce 201 to:
% 44.83/14.72  																															| (807)  ~ (all_0_93_93 = e3)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Simplifying 807 yields:
% 44.83/14.72  																															| (602)  ~ (all_0_93_93 = e3)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Equations (804) can reduce 648 to:
% 44.83/14.72  																															| (783)  ~ (e4 = e3)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Simplifying 783 yields:
% 44.83/14.72  																															| (177)  ~ (e4 = e3)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Equations (804) can reduce 515 to:
% 44.83/14.72  																															| (169)  ~ (e3 = e2)
% 44.83/14.72  																															|
% 44.83/14.72  																															| Equations (804) can reduce 128 to:
% 44.83/14.72  																															| (20)  ~ (e3 = e1)
% 44.83/14.72  																															|
% 44.83/14.72  																															+-Applying beta-rule and splitting (207), into two cases.
% 44.83/14.72  																															|-Branch one:
% 44.83/14.72  																															| (416) all_0_80_80 = e3
% 44.83/14.72  																															|
% 44.83/14.72  																																| Combining equations (546,416) yields a new equation:
% 44.83/14.72  																																| (548) e3 = e2
% 44.83/14.72  																																|
% 44.83/14.72  																																| Equations (548) can reduce 169 to:
% 44.83/14.72  																																| (311) $false
% 44.83/14.72  																																|
% 44.83/14.72  																																|-The branch is then unsatisfiable
% 44.83/14.72  																															|-Branch two:
% 44.83/14.72  																															| (2347)  ~ (all_0_80_80 = e3)
% 44.83/14.72  																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 44.83/14.72  																															|
% 44.83/14.72  																																+-Applying beta-rule and splitting (2481), into two cases.
% 44.83/14.72  																																|-Branch one:
% 44.83/14.72  																																| (1265) all_0_84_84 = e3
% 44.83/14.72  																																|
% 44.83/14.72  																																	| Equations (1265) can reduce 422 to:
% 44.83/14.72  																																	| (311) $false
% 44.83/14.72  																																	|
% 44.83/14.72  																																	|-The branch is then unsatisfiable
% 44.83/14.72  																																|-Branch two:
% 44.83/14.72  																																| (422)  ~ (all_0_84_84 = e3)
% 44.83/14.72  																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 44.83/14.72  																																|
% 44.83/14.72  																																	+-Applying beta-rule and splitting (472), into two cases.
% 44.83/14.72  																																	|-Branch one:
% 44.83/14.72  																																	| (438) all_0_84_84 = e4
% 44.83/14.72  																																	|
% 44.83/14.72  																																		| Equations (438) can reduce 422 to:
% 44.83/14.72  																																		| (177)  ~ (e4 = e3)
% 44.83/14.72  																																		|
% 44.83/14.73  																																		| Equations (438) can reduce 612 to:
% 44.83/14.73  																																		| (79)  ~ (e4 = e2)
% 44.83/14.73  																																		|
% 44.83/14.73  																																		| From (438) and (122) follows:
% 44.83/14.73  																																		| (9102) op(e1, e4) = all_0_62_62
% 44.83/14.73  																																		|
% 44.83/14.73  																																		+-Applying beta-rule and splitting (4), into two cases.
% 44.83/14.73  																																		|-Branch one:
% 44.83/14.73  																																		| (463) all_0_78_78 = e4
% 44.83/14.73  																																		|
% 44.83/14.73  																																			| Combining equations (771,463) yields a new equation:
% 44.83/14.73  																																			| (434) e4 = e3
% 44.83/14.73  																																			|
% 44.83/14.73  																																			| Equations (434) can reduce 177 to:
% 44.83/14.73  																																			| (311) $false
% 44.83/14.73  																																			|
% 44.83/14.73  																																			|-The branch is then unsatisfiable
% 44.83/14.73  																																		|-Branch two:
% 44.83/14.73  																																		| (640)  ~ (all_0_78_78 = e4)
% 44.83/14.73  																																		| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.83/14.73  																																		|
% 44.83/14.73  																																			+-Applying beta-rule and splitting (119), into two cases.
% 44.83/14.73  																																			|-Branch one:
% 44.83/14.73  																																			| (1343) all_0_92_92 = e2
% 44.83/14.73  																																			|
% 44.83/14.73  																																				| Equations (1343) can reduce 298 to:
% 44.83/14.73  																																				| (311) $false
% 44.83/14.73  																																				|
% 44.83/14.73  																																				|-The branch is then unsatisfiable
% 44.83/14.73  																																			|-Branch two:
% 44.83/14.73  																																			| (298)  ~ (all_0_92_92 = e2)
% 44.83/14.73  																																			| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 44.83/14.73  																																			|
% 44.83/14.73  																																				+-Applying beta-rule and splitting (3765), into two cases.
% 44.83/14.73  																																				|-Branch one:
% 44.83/14.73  																																				| (882) all_0_92_92 = e3
% 44.83/14.73  																																				|
% 44.83/14.73  																																					| Equations (882) can reduce 426 to:
% 44.83/14.73  																																					| (311) $false
% 44.83/14.73  																																					|
% 44.83/14.73  																																					|-The branch is then unsatisfiable
% 44.83/14.73  																																				|-Branch two:
% 44.83/14.73  																																				| (426)  ~ (all_0_92_92 = e3)
% 44.83/14.73  																																				| (556) all_0_97_97 = e3
% 44.83/14.73  																																				|
% 44.83/14.73  																																					| Equations (556) can reduce 258 to:
% 44.83/14.73  																																					| (426)  ~ (all_0_92_92 = e3)
% 44.83/14.73  																																					|
% 44.83/14.73  																																					| Equations (556) can reduce 105 to:
% 44.83/14.73  																																					| (765)  ~ (all_0_95_95 = e3)
% 44.83/14.73  																																					|
% 44.83/14.73  																																					| Equations (556) can reduce 527 to:
% 44.83/14.73  																																					| (169)  ~ (e3 = e2)
% 44.83/14.73  																																					|
% 44.83/14.73  																																					| Equations (556) can reduce 609 to:
% 44.83/14.73  																																					| (50)  ~ (e3 = e0)
% 44.83/14.73  																																					|
% 44.83/14.73  																																					| From (556) and (252) follows:
% 44.83/14.73  																																					| (10793) op(e1, e3) = all_0_67_67
% 44.83/14.73  																																					|
% 44.83/14.73  																																					+-Applying beta-rule and splitting (151), into two cases.
% 44.83/14.73  																																					|-Branch one:
% 44.83/14.73  																																					| (824) all_0_80_80 = e1
% 44.83/14.73  																																					|
% 44.83/14.73  																																						| Combining equations (546,824) yields a new equation:
% 44.83/14.73  																																						| (408) e2 = e1
% 44.83/14.73  																																						|
% 44.83/14.73  																																						| Simplifying 408 yields:
% 44.83/14.73  																																						| (385) e2 = e1
% 44.83/14.73  																																						|
% 44.83/14.73  																																						| Equations (385) can reduce 243 to:
% 44.83/14.73  																																						| (311) $false
% 44.83/14.73  																																						|
% 44.83/14.73  																																						|-The branch is then unsatisfiable
% 44.83/14.73  																																					|-Branch two:
% 44.83/14.73  																																					| (828)  ~ (all_0_80_80 = e1)
% 44.83/14.73  																																					| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 44.83/14.73  																																					|
% 44.83/14.73  																																						+-Applying beta-rule and splitting (176), into two cases.
% 44.83/14.73  																																						|-Branch one:
% 44.83/14.73  																																						| (785) all_0_95_95 = e1
% 44.83/14.73  																																						|
% 44.83/14.73  																																							| Equations (785) can reduce 680 to:
% 44.83/14.73  																																							| (311) $false
% 44.83/14.73  																																							|
% 44.83/14.73  																																							|-The branch is then unsatisfiable
% 44.83/14.73  																																						|-Branch two:
% 44.83/14.73  																																						| (680)  ~ (all_0_95_95 = e1)
% 44.83/14.73  																																						| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.83/14.73  																																						|
% 44.83/14.73  																																							+-Applying beta-rule and splitting (829), into two cases.
% 44.83/14.73  																																							|-Branch one:
% 44.83/14.73  																																							| (482) all_0_87_87 = e1
% 44.83/14.73  																																							|
% 44.83/14.73  																																								| Combining equations (482,861) yields a new equation:
% 44.83/14.73  																																								| (1107) e1 = e0
% 44.83/14.73  																																								|
% 44.83/14.73  																																								| Simplifying 1107 yields:
% 44.83/14.73  																																								| (865) e1 = e0
% 44.83/14.73  																																								|
% 44.83/14.73  																																								| Equations (865) can reduce 264 to:
% 44.83/14.73  																																								| (311) $false
% 44.83/14.73  																																								|
% 44.83/14.73  																																								|-The branch is then unsatisfiable
% 44.83/14.73  																																							|-Branch two:
% 44.83/14.73  																																							| (625)  ~ (all_0_87_87 = e1)
% 44.83/14.73  																																							| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 44.83/14.73  																																							|
% 44.83/14.73  																																								+-Applying beta-rule and splitting (835), into two cases.
% 44.83/14.73  																																								|-Branch one:
% 44.83/14.73  																																								| (836) all_0_92_92 = e1
% 44.83/14.73  																																								|
% 44.83/14.73  																																									| Equations (836) can reduce 426 to:
% 44.83/14.73  																																									| (683)  ~ (e3 = e1)
% 44.83/14.73  																																									|
% 44.83/14.73  																																									| Simplifying 683 yields:
% 44.83/14.73  																																									| (20)  ~ (e3 = e1)
% 44.83/14.73  																																									|
% 44.83/14.73  																																									| Equations (836) can reduce 298 to:
% 44.83/14.73  																																									| (487)  ~ (e2 = e1)
% 44.83/14.73  																																									|
% 44.83/14.73  																																									| Simplifying 487 yields:
% 44.83/14.73  																																									| (243)  ~ (e2 = e1)
% 44.83/14.73  																																									|
% 44.83/14.73  																																									| Equations (836) can reduce 946 to:
% 44.83/14.73  																																									| (264)  ~ (e1 = e0)
% 44.83/14.73  																																									|
% 44.83/14.73  																																									+-Applying beta-rule and splitting (788), into two cases.
% 44.83/14.73  																																									|-Branch one:
% 44.83/14.73  																																									| (960) all_0_96_96 = e1
% 44.83/14.73  																																									|
% 44.83/14.73  																																										| Combining equations (960,1704) yields a new equation:
% 44.83/14.73  																																										| (385) e2 = e1
% 44.83/14.73  																																										|
% 44.83/14.73  																																										| Equations (385) can reduce 243 to:
% 44.83/14.73  																																										| (311) $false
% 44.83/14.73  																																										|
% 44.83/14.73  																																										|-The branch is then unsatisfiable
% 44.83/14.73  																																									|-Branch two:
% 44.83/14.73  																																									| (1479)  ~ (all_0_96_96 = e1)
% 44.83/14.73  																																									| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 44.83/14.73  																																									|
% 44.83/14.73  																																										+-Applying beta-rule and splitting (2126), into two cases.
% 44.83/14.73  																																										|-Branch one:
% 44.83/14.73  																																										| (542) all_0_97_97 = e1
% 44.83/14.73  																																										|
% 44.83/14.73  																																											| Combining equations (556,542) yields a new equation:
% 44.83/14.73  																																											| (825) e3 = e1
% 44.83/14.73  																																											|
% 44.83/14.73  																																											| Simplifying 825 yields:
% 44.83/14.73  																																											| (772) e3 = e1
% 44.83/14.73  																																											|
% 44.83/14.73  																																											| Equations (772) can reduce 20 to:
% 44.83/14.73  																																											| (311) $false
% 44.83/14.73  																																											|
% 44.83/14.73  																																											|-The branch is then unsatisfiable
% 44.83/14.73  																																										|-Branch two:
% 44.83/14.73  																																										| (486)  ~ (all_0_97_97 = e1)
% 44.83/14.73  																																										| (1543) all_0_98_98 = e1
% 44.83/14.73  																																										|
% 44.83/14.73  																																											| Equations (1543) can reduce 13 to:
% 44.83/14.73  																																											| (481)  ~ (all_0_93_93 = e1)
% 44.83/14.73  																																											|
% 44.83/14.73  																																											| Equations (1543) can reduce 107 to:
% 44.83/14.73  																																											| (680)  ~ (all_0_95_95 = e1)
% 44.83/14.73  																																											|
% 44.83/14.73  																																											+-Applying beta-rule and splitting (102), into two cases.
% 44.83/14.73  																																											|-Branch one:
% 44.83/14.73  																																											| (858) all_0_95_95 = e0
% 44.83/14.73  																																											|
% 44.83/14.73  																																												| Equations (858) can reduce 765 to:
% 44.83/14.73  																																												| (906)  ~ (e3 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												| Simplifying 906 yields:
% 44.83/14.73  																																												| (50)  ~ (e3 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												| Equations (858) can reduce 355 to:
% 44.83/14.73  																																												| (510)  ~ (e2 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												| Simplifying 510 yields:
% 44.83/14.73  																																												| (76)  ~ (e2 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												| Equations (858) can reduce 680 to:
% 44.83/14.73  																																												| (859)  ~ (e1 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												| Simplifying 859 yields:
% 44.83/14.73  																																												| (264)  ~ (e1 = e0)
% 44.83/14.73  																																												|
% 44.83/14.73  																																												+-Applying beta-rule and splitting (289), into two cases.
% 44.83/14.73  																																												|-Branch one:
% 44.83/14.73  																																												| (954) all_0_85_85 = e0
% 44.83/14.73  																																												|
% 44.83/14.73  																																													| Combining equations (954,804) yields a new equation:
% 44.83/14.73  																																													| (600) e3 = e0
% 44.83/14.73  																																													|
% 44.83/14.73  																																													| Equations (600) can reduce 50 to:
% 44.83/14.73  																																													| (311) $false
% 44.83/14.73  																																													|
% 44.83/14.73  																																													|-The branch is then unsatisfiable
% 44.83/14.73  																																												|-Branch two:
% 44.83/14.73  																																												| (800)  ~ (all_0_85_85 = e0)
% 44.83/14.73  																																												| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.83/14.73  																																												|
% 44.83/14.73  																																													+-Applying beta-rule and splitting (65), into two cases.
% 44.83/14.73  																																													|-Branch one:
% 44.83/14.73  																																													| (522) all_0_93_93 = e2
% 44.83/14.73  																																													|
% 44.83/14.73  																																														| Equations (522) can reduce 300 to:
% 44.83/14.73  																																														| (311) $false
% 44.83/14.73  																																														|
% 44.83/14.73  																																														|-The branch is then unsatisfiable
% 44.83/14.73  																																													|-Branch two:
% 44.83/14.73  																																													| (300)  ~ (all_0_93_93 = e2)
% 44.83/14.73  																																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.83/14.73  																																													|
% 44.83/14.73  																																														+-Applying beta-rule and splitting (1077), into two cases.
% 44.83/14.73  																																														|-Branch one:
% 44.83/14.73  																																														| (507) all_0_88_88 = e0
% 44.83/14.73  																																														|
% 44.83/14.73  																																															| Combining equations (507,370) yields a new equation:
% 44.83/14.73  																																															| (379) e2 = e0
% 44.83/14.73  																																															|
% 44.83/14.73  																																															| Equations (379) can reduce 76 to:
% 44.83/14.73  																																															| (311) $false
% 44.83/14.73  																																															|
% 44.83/14.73  																																															|-The branch is then unsatisfiable
% 44.83/14.73  																																														|-Branch two:
% 44.83/14.73  																																														| (1110)  ~ (all_0_88_88 = e0)
% 44.83/14.73  																																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 44.83/14.73  																																														|
% 44.83/14.73  																																															+-Applying beta-rule and splitting (1111), into two cases.
% 44.83/14.73  																																															|-Branch one:
% 44.83/14.73  																																															| (604) all_0_93_93 = e0
% 44.83/14.73  																																															|
% 44.83/14.73  																																																| Combining equations (604,8320) yields a new equation:
% 44.83/14.73  																																																| (5547) all_0_64_64 = e0
% 44.83/14.73  																																																|
% 44.83/14.73  																																																| Equations (604) can reduce 34 to:
% 44.83/14.73  																																																| (762)  ~ (all_0_90_90 = e0)
% 44.83/14.73  																																																|
% 44.83/14.73  																																																| Equations (604) can reduce 496 to:
% 44.83/14.73  																																																| (904)  ~ (e4 = e0)
% 44.83/14.73  																																																|
% 44.83/14.73  																																																| Simplifying 904 yields:
% 44.83/14.73  																																																| (23)  ~ (e4 = e0)
% 44.83/14.73  																																																|
% 44.83/14.73  																																																| Equations (604) can reduce 300 to:
% 44.83/14.73  																																																| (510)  ~ (e2 = e0)
% 44.83/14.73  																																																|
% 44.83/14.73  																																																| Simplifying 510 yields:
% 44.83/14.73  																																																| (76)  ~ (e2 = e0)
% 44.83/14.73  																																																|
% 44.83/14.73  																																																+-Applying beta-rule and splitting (46), into two cases.
% 44.83/14.73  																																																|-Branch one:
% 44.83/14.73  																																																| (308) all_0_89_89 = e4
% 44.83/14.73  																																																|
% 44.83/14.73  																																																	| Combining equations (292,308) yields a new equation:
% 44.83/14.73  																																																	| (310) e4 = e2
% 44.83/14.73  																																																	|
% 44.83/14.73  																																																	| Equations (310) can reduce 79 to:
% 44.83/14.73  																																																	| (311) $false
% 44.83/14.73  																																																	|
% 44.83/14.73  																																																	|-The branch is then unsatisfiable
% 44.83/14.73  																																																|-Branch two:
% 44.83/14.73  																																																| (312)  ~ (all_0_89_89 = e4)
% 44.83/14.73  																																																| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 44.83/14.73  																																																|
% 44.83/14.73  																																																	| Equations (292) can reduce 312 to:
% 44.83/14.73  																																																	| (528)  ~ (e4 = e2)
% 44.83/14.73  																																																	|
% 44.83/14.73  																																																	| Simplifying 528 yields:
% 44.83/14.73  																																																	| (79)  ~ (e4 = e2)
% 44.83/14.73  																																																	|
% 44.83/14.73  																																																	+-Applying beta-rule and splitting (1915), into two cases.
% 44.83/14.73  																																																	|-Branch one:
% 44.83/14.73  																																																	| (583) all_0_90_90 = e4
% 44.83/14.73  																																																	|
% 44.83/14.73  																																																		| Equations (583) can reduce 745 to:
% 44.83/14.73  																																																		| (177)  ~ (e4 = e3)
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Equations (583) can reduce 762 to:
% 44.83/14.73  																																																		| (23)  ~ (e4 = e0)
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| From (583) and (35) follows:
% 44.83/14.73  																																																		| (10485) op(e1, e4) = all_0_49_49
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| From (583) and (218) follows:
% 44.83/14.73  																																																		| (4391) op(e1, e3) = e4
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 44.83/14.73  																																																		| (10505) all_0_49_49 = e2
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Instantiating formula (262) with e1, e4, all_0_62_62, all_0_49_49 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = all_0_62_62, yields:
% 44.83/14.73  																																																		| (10506) all_0_49_49 = all_0_62_62
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Instantiating formula (262) with e1, e3, e4, all_0_67_67 and discharging atoms op(e1, e3) = all_0_67_67, op(e1, e3) = e4, yields:
% 44.83/14.73  																																																		| (3520) all_0_67_67 = e4
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Combining equations (10506,10505) yields a new equation:
% 44.83/14.73  																																																		| (21524) all_0_62_62 = e2
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		| Simplifying 21524 yields:
% 44.83/14.73  																																																		| (9103) all_0_62_62 = e2
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																		+-Applying beta-rule and splitting (276), into two cases.
% 44.83/14.73  																																																		|-Branch one:
% 44.83/14.73  																																																		| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.83/14.73  																																																		|
% 44.83/14.73  																																																			+-Applying beta-rule and splitting (577), into two cases.
% 44.83/14.73  																																																			|-Branch one:
% 44.83/14.73  																																																			| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.83/14.73  																																																			|
% 44.83/14.73  																																																				+-Applying beta-rule and splitting (578), into two cases.
% 44.83/14.73  																																																				|-Branch one:
% 44.83/14.73  																																																				| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.83/14.73  																																																				|
% 44.83/14.73  																																																					| Applying alpha-rule on (579) yields:
% 44.83/14.73  																																																					| (580) all_0_60_60 = e4
% 44.83/14.73  																																																					| (581)  ~ (all_0_61_61 = e1)
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					| Combining equations (1403,580) yields a new equation:
% 44.83/14.73  																																																					| (434) e4 = e3
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					| Equations (434) can reduce 177 to:
% 44.83/14.73  																																																					| (311) $false
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					|-The branch is then unsatisfiable
% 44.83/14.73  																																																				|-Branch two:
% 44.83/14.73  																																																				| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.83/14.73  																																																				|
% 44.83/14.73  																																																					| Applying alpha-rule on (585) yields:
% 44.83/14.73  																																																					| (586) all_0_62_62 = e3
% 44.83/14.73  																																																					| (587)  ~ (all_0_63_63 = e1)
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					| Combining equations (9103,586) yields a new equation:
% 44.83/14.73  																																																					| (548) e3 = e2
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					| Equations (548) can reduce 169 to:
% 44.83/14.73  																																																					| (311) $false
% 44.83/14.73  																																																					|
% 44.83/14.73  																																																					|-The branch is then unsatisfiable
% 44.83/14.73  																																																			|-Branch two:
% 44.83/14.73  																																																			| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.83/14.73  																																																			|
% 44.83/14.73  																																																				| Applying alpha-rule on (590) yields:
% 44.83/14.73  																																																				| (591) all_0_64_64 = e2
% 44.83/14.73  																																																				| (592)  ~ (all_0_65_65 = e1)
% 44.83/14.73  																																																				|
% 44.83/14.73  																																																				| Combining equations (5547,591) yields a new equation:
% 44.83/14.73  																																																				| (379) e2 = e0
% 44.83/14.73  																																																				|
% 44.83/14.74  																																																				| Equations (379) can reduce 76 to:
% 44.83/14.74  																																																				| (311) $false
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				|-The branch is then unsatisfiable
% 44.83/14.74  																																																		|-Branch two:
% 44.83/14.74  																																																		| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																			| Applying alpha-rule on (596) yields:
% 44.83/14.74  																																																			| (597) all_0_67_67 = e0
% 44.83/14.74  																																																			| (598)  ~ (all_0_68_68 = e1)
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Combining equations (3520,597) yields a new equation:
% 44.83/14.74  																																																			| (911) e4 = e0
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Simplifying 911 yields:
% 44.83/14.74  																																																			| (912) e4 = e0
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Equations (912) can reduce 23 to:
% 44.83/14.74  																																																			| (311) $false
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			|-The branch is then unsatisfiable
% 44.83/14.74  																																																	|-Branch two:
% 44.83/14.74  																																																	| (467)  ~ (all_0_90_90 = e4)
% 44.83/14.74  																																																	| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																		+-Applying beta-rule and splitting (3625), into two cases.
% 44.83/14.74  																																																		|-Branch one:
% 44.83/14.74  																																																		| (469) all_0_82_82 = e4
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																			| Combining equations (469,530) yields a new equation:
% 44.83/14.74  																																																			| (309) e4 = e2
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Simplifying 309 yields:
% 44.83/14.74  																																																			| (310) e4 = e2
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Equations (310) can reduce 79 to:
% 44.83/14.74  																																																			| (311) $false
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			|-The branch is then unsatisfiable
% 44.83/14.74  																																																		|-Branch two:
% 44.83/14.74  																																																		| (465)  ~ (all_0_82_82 = e4)
% 44.83/14.74  																																																		| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																			+-Applying beta-rule and splitting (3629), into two cases.
% 44.83/14.74  																																																			|-Branch one:
% 44.83/14.74  																																																			| (583) all_0_90_90 = e4
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																				| Equations (583) can reduce 467 to:
% 44.83/14.74  																																																				| (311) $false
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				|-The branch is then unsatisfiable
% 44.83/14.74  																																																			|-Branch two:
% 44.83/14.74  																																																			| (467)  ~ (all_0_90_90 = e4)
% 44.83/14.74  																																																			| (894) all_0_95_95 = e4
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																				| Combining equations (858,894) yields a new equation:
% 44.83/14.74  																																																				| (912) e4 = e0
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				| Equations (912) can reduce 23 to:
% 44.83/14.74  																																																				| (311) $false
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				|-The branch is then unsatisfiable
% 44.83/14.74  																																															|-Branch two:
% 44.83/14.74  																																															| (509)  ~ (all_0_93_93 = e0)
% 44.83/14.74  																																															| (1121) all_0_98_98 = e0
% 44.83/14.74  																																															|
% 44.83/14.74  																																																| Combining equations (1121,1543) yields a new equation:
% 44.83/14.74  																																																| (865) e1 = e0
% 44.83/14.74  																																																|
% 44.83/14.74  																																																| Equations (865) can reduce 264 to:
% 44.83/14.74  																																																| (311) $false
% 44.83/14.74  																																																|
% 44.83/14.74  																																																|-The branch is then unsatisfiable
% 44.83/14.74  																																											|-Branch two:
% 44.83/14.74  																																											| (893)  ~ (all_0_95_95 = e0)
% 44.83/14.74  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 44.83/14.74  																																											|
% 44.83/14.74  																																												+-Applying beta-rule and splitting (254), into two cases.
% 44.83/14.74  																																												|-Branch one:
% 44.83/14.74  																																												| (910) all_0_82_82 = e0
% 44.83/14.74  																																												|
% 44.83/14.74  																																													| Combining equations (530,910) yields a new equation:
% 44.83/14.74  																																													| (923) e2 = e0
% 44.83/14.74  																																													|
% 44.83/14.74  																																													| Simplifying 923 yields:
% 44.83/14.74  																																													| (379) e2 = e0
% 44.83/14.74  																																													|
% 44.83/14.74  																																													| Equations (379) can reduce 76 to:
% 44.83/14.74  																																													| (311) $false
% 44.83/14.74  																																													|
% 44.83/14.74  																																													|-The branch is then unsatisfiable
% 44.83/14.74  																																												|-Branch two:
% 44.83/14.74  																																												| (914)  ~ (all_0_82_82 = e0)
% 44.83/14.74  																																												| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 44.83/14.74  																																												|
% 44.83/14.74  																																													| Equations (530) can reduce 914 to:
% 44.83/14.74  																																													| (76)  ~ (e2 = e0)
% 44.83/14.74  																																													|
% 44.83/14.74  																																													+-Applying beta-rule and splitting (915), into two cases.
% 44.83/14.74  																																													|-Branch one:
% 44.83/14.74  																																													| (378) all_0_86_86 = e0
% 44.83/14.74  																																													|
% 44.83/14.74  																																														| Combining equations (378,384) yields a new equation:
% 44.83/14.74  																																														| (865) e1 = e0
% 44.83/14.74  																																														|
% 44.83/14.74  																																														| Equations (865) can reduce 264 to:
% 44.83/14.74  																																														| (311) $false
% 44.83/14.74  																																														|
% 44.83/14.74  																																														|-The branch is then unsatisfiable
% 44.83/14.74  																																													|-Branch two:
% 44.83/14.74  																																													| (381)  ~ (all_0_86_86 = e0)
% 44.83/14.74  																																													| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 44.83/14.74  																																													|
% 44.83/14.74  																																														| Equations (384) can reduce 381 to:
% 44.83/14.74  																																														| (264)  ~ (e1 = e0)
% 44.83/14.74  																																														|
% 44.83/14.74  																																														+-Applying beta-rule and splitting (65), into two cases.
% 44.83/14.74  																																														|-Branch one:
% 44.83/14.74  																																														| (522) all_0_93_93 = e2
% 44.83/14.74  																																														|
% 44.83/14.74  																																															| Equations (522) can reduce 300 to:
% 44.83/14.74  																																															| (311) $false
% 44.83/14.74  																																															|
% 44.83/14.74  																																															|-The branch is then unsatisfiable
% 44.83/14.74  																																														|-Branch two:
% 44.83/14.74  																																														| (300)  ~ (all_0_93_93 = e2)
% 44.83/14.74  																																														| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 44.83/14.74  																																														|
% 44.83/14.74  																																															+-Applying beta-rule and splitting (289), into two cases.
% 44.83/14.74  																																															|-Branch one:
% 44.83/14.74  																																															| (954) all_0_85_85 = e0
% 44.83/14.74  																																															|
% 44.83/14.74  																																																| Combining equations (954,804) yields a new equation:
% 44.83/14.74  																																																| (600) e3 = e0
% 44.83/14.74  																																																|
% 44.83/14.74  																																																| Equations (600) can reduce 50 to:
% 44.83/14.74  																																																| (311) $false
% 44.83/14.74  																																																|
% 44.83/14.74  																																																|-The branch is then unsatisfiable
% 44.83/14.74  																																															|-Branch two:
% 44.83/14.74  																																															| (800)  ~ (all_0_85_85 = e0)
% 44.83/14.74  																																															| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.83/14.74  																																															|
% 44.83/14.74  																																																+-Applying beta-rule and splitting (1077), into two cases.
% 44.83/14.74  																																																|-Branch one:
% 44.83/14.74  																																																| (507) all_0_88_88 = e0
% 44.83/14.74  																																																|
% 44.83/14.74  																																																	| Combining equations (370,507) yields a new equation:
% 44.83/14.74  																																																	| (923) e2 = e0
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																	| Simplifying 923 yields:
% 44.83/14.74  																																																	| (379) e2 = e0
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																	| Equations (379) can reduce 76 to:
% 44.83/14.74  																																																	| (311) $false
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																	|-The branch is then unsatisfiable
% 44.83/14.74  																																																|-Branch two:
% 44.83/14.74  																																																| (1110)  ~ (all_0_88_88 = e0)
% 44.83/14.74  																																																| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 44.83/14.74  																																																|
% 44.83/14.74  																																																	+-Applying beta-rule and splitting (1111), into two cases.
% 44.83/14.74  																																																	|-Branch one:
% 44.83/14.74  																																																	| (604) all_0_93_93 = e0
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																		| Equations (604) can reduce 602 to:
% 44.83/14.74  																																																		| (906)  ~ (e3 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Simplifying 906 yields:
% 44.83/14.74  																																																		| (50)  ~ (e3 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Equations (604) can reduce 300 to:
% 44.83/14.74  																																																		| (510)  ~ (e2 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Simplifying 510 yields:
% 44.83/14.74  																																																		| (76)  ~ (e2 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Equations (604) can reduce 481 to:
% 44.83/14.74  																																																		| (859)  ~ (e1 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Simplifying 859 yields:
% 44.83/14.74  																																																		| (264)  ~ (e1 = e0)
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		+-Applying beta-rule and splitting (1921), into two cases.
% 44.83/14.74  																																																		|-Branch one:
% 44.83/14.74  																																																		| (1837) all_0_96_96 = e0
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																			| Combining equations (1837,1704) yields a new equation:
% 44.83/14.74  																																																			| (379) e2 = e0
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			| Equations (379) can reduce 76 to:
% 44.83/14.74  																																																			| (311) $false
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																			|-The branch is then unsatisfiable
% 44.83/14.74  																																																		|-Branch two:
% 44.83/14.74  																																																		| (2095)  ~ (all_0_96_96 = e0)
% 44.83/14.74  																																																		| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																			+-Applying beta-rule and splitting (2096), into two cases.
% 44.83/14.74  																																																			|-Branch one:
% 44.83/14.74  																																																			| (560) all_0_97_97 = e0
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																				| Combining equations (556,560) yields a new equation:
% 44.83/14.74  																																																				| (599) e3 = e0
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				| Simplifying 599 yields:
% 44.83/14.74  																																																				| (600) e3 = e0
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				| Equations (600) can reduce 50 to:
% 44.83/14.74  																																																				| (311) $false
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				|-The branch is then unsatisfiable
% 44.83/14.74  																																																			|-Branch two:
% 44.83/14.74  																																																			| (609)  ~ (all_0_97_97 = e0)
% 44.83/14.74  																																																			| (1121) all_0_98_98 = e0
% 44.83/14.74  																																																			|
% 44.83/14.74  																																																				| Combining equations (1543,1121) yields a new equation:
% 44.83/14.74  																																																				| (1107) e1 = e0
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				| Simplifying 1107 yields:
% 44.83/14.74  																																																				| (865) e1 = e0
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				| Equations (865) can reduce 264 to:
% 44.83/14.74  																																																				| (311) $false
% 44.83/14.74  																																																				|
% 44.83/14.74  																																																				|-The branch is then unsatisfiable
% 44.83/14.74  																																																	|-Branch two:
% 44.83/14.74  																																																	| (509)  ~ (all_0_93_93 = e0)
% 44.83/14.74  																																																	| (1121) all_0_98_98 = e0
% 44.83/14.74  																																																	|
% 44.83/14.74  																																																		| Combining equations (1121,1543) yields a new equation:
% 44.83/14.74  																																																		| (865) e1 = e0
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		| Equations (865) can reduce 264 to:
% 44.83/14.74  																																																		| (311) $false
% 44.83/14.74  																																																		|
% 44.83/14.74  																																																		|-The branch is then unsatisfiable
% 44.83/14.74  																																								|-Branch two:
% 44.83/14.74  																																								| (840)  ~ (all_0_92_92 = e1)
% 44.83/14.74  																																								| (542) all_0_97_97 = e1
% 44.83/14.74  																																								|
% 44.83/14.74  																																									| Combining equations (542,556) yields a new equation:
% 44.83/14.74  																																									| (772) e3 = e1
% 44.83/14.74  																																									|
% 44.83/14.74  																																									| Equations (772) can reduce 20 to:
% 44.83/14.74  																																									| (311) $false
% 44.83/14.74  																																									|
% 44.83/14.74  																																									|-The branch is then unsatisfiable
% 44.83/14.74  																																	|-Branch two:
% 44.83/14.74  																																	| (417)  ~ (all_0_84_84 = e4)
% 44.83/14.74  																																	| (493) all_0_85_85 = e4
% 44.83/14.74  																																	|
% 44.83/14.74  																																		| Combining equations (804,493) yields a new equation:
% 44.83/14.74  																																		| (434) e4 = e3
% 44.83/14.74  																																		|
% 44.83/14.74  																																		| Equations (434) can reduce 177 to:
% 44.83/14.74  																																		| (311) $false
% 44.83/14.74  																																		|
% 44.83/14.74  																																		|-The branch is then unsatisfiable
% 44.83/14.74  																														|-Branch two:
% 44.83/14.74  																														| (952)  ~ (all_0_85_85 = e3)
% 44.83/14.74  																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 44.83/14.74  																														|
% 44.83/14.74  																															+-Applying beta-rule and splitting (953), into two cases.
% 44.83/14.74  																															|-Branch one:
% 44.83/14.74  																															| (954) all_0_85_85 = e0
% 44.83/14.74  																															|
% 44.83/14.74  																																| Equations (954) can reduce 800 to:
% 44.83/14.74  																																| (311) $false
% 44.83/14.74  																																|
% 44.83/14.74  																																|-The branch is then unsatisfiable
% 44.83/14.74  																															|-Branch two:
% 44.83/14.74  																															| (800)  ~ (all_0_85_85 = e0)
% 44.83/14.74  																															| (493) all_0_85_85 = e4
% 44.83/14.74  																															|
% 44.83/14.74  																																| Equations (493) can reduce 648 to:
% 44.83/14.74  																																| (311) $false
% 44.83/14.74  																																|
% 44.83/14.74  																																|-The branch is then unsatisfiable
% 44.83/14.74  																												|-Branch two:
% 44.83/14.74  																												| (418)  ~ (all_0_78_78 = e3)
% 44.83/14.74  																												| (463) all_0_78_78 = e4
% 44.83/14.74  																												|
% 44.83/14.74  																													| Equations (463) can reduce 640 to:
% 44.83/14.74  																													| (311) $false
% 44.83/14.74  																													|
% 44.83/14.74  																													|-The branch is then unsatisfiable
% 44.83/14.74  																						|-Branch two:
% 44.83/14.74  																						| (347)  ~ (all_0_82_82 = e2)
% 44.83/14.74  																						| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 44.83/14.74  																						|
% 44.83/14.74  																							+-Applying beta-rule and splitting (13415), into two cases.
% 44.83/14.74  																							|-Branch one:
% 44.83/14.74  																							| (530) all_0_82_82 = e2
% 44.83/14.74  																							|
% 44.83/14.74  																								| Equations (530) can reduce 347 to:
% 44.83/14.74  																								| (311) $false
% 44.83/14.74  																								|
% 44.83/14.74  																								|-The branch is then unsatisfiable
% 44.83/14.74  																							|-Branch two:
% 44.83/14.74  																							| (347)  ~ (all_0_82_82 = e2)
% 44.83/14.74  																							| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.83/14.74  																							|
% 44.83/14.74  																								+-Applying beta-rule and splitting (13419), into two cases.
% 44.83/14.74  																								|-Branch one:
% 44.83/14.74  																								| (345) all_0_86_86 = e2
% 44.83/14.74  																								|
% 44.83/14.74  																									| Combining equations (345,384) yields a new equation:
% 44.83/14.74  																									| (408) e2 = e1
% 44.83/14.74  																									|
% 44.83/14.74  																									| Simplifying 408 yields:
% 44.83/14.74  																									| (385) e2 = e1
% 44.83/14.74  																									|
% 44.83/14.74  																									| Equations (385) can reduce 243 to:
% 44.83/14.74  																									| (311) $false
% 44.83/14.74  																									|
% 44.83/14.74  																									|-The branch is then unsatisfiable
% 44.83/14.74  																								|-Branch two:
% 44.83/14.74  																								| (9507)  ~ (all_0_86_86 = e2)
% 44.83/14.74  																								| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 44.83/14.74  																								|
% 44.83/14.74  																									+-Applying beta-rule and splitting (13424), into two cases.
% 44.83/14.74  																									|-Branch one:
% 44.83/14.74  																									| (746) all_0_90_90 = e2
% 44.83/14.74  																									|
% 44.83/14.74  																										| Equations (746) can reduce 294 to:
% 44.83/14.74  																										| (311) $false
% 44.83/14.74  																										|
% 44.83/14.74  																										|-The branch is then unsatisfiable
% 44.83/14.74  																									|-Branch two:
% 44.83/14.74  																									| (294)  ~ (all_0_90_90 = e2)
% 44.83/14.74  																									| (767) all_0_95_95 = e2
% 44.83/14.74  																									|
% 44.83/14.74  																										| Equations (767) can reduce 355 to:
% 44.83/14.74  																										| (311) $false
% 44.83/14.74  																										|
% 44.83/14.74  																										|-The branch is then unsatisfiable
% 44.83/14.74  																					|-Branch two:
% 44.83/14.74  																					| (394)  ~ (all_0_80_80 = e2)
% 44.83/14.74  																					| (473) all_0_81_81 = e2
% 44.83/14.74  																					|
% 44.83/14.74  																						| Equations (473) can reduce 396 to:
% 44.83/14.74  																						| (311) $false
% 44.83/14.74  																						|
% 44.83/14.74  																						|-The branch is then unsatisfiable
% 44.83/14.74  																	|-Branch two:
% 44.83/14.74  																	| (571)  ~ (all_0_91_91 = e3)
% 44.83/14.74  																	| (1456) all_0_91_91 = e0
% 44.83/14.74  																	|
% 44.83/14.74  																		| Equations (1456) can reduce 1487 to:
% 44.83/14.74  																		| (311) $false
% 44.83/14.74  																		|
% 44.83/14.74  																		|-The branch is then unsatisfiable
% 44.83/14.75  														|-Branch two:
% 44.83/14.75  														| (1314)  ~ (all_0_83_83 = e0)
% 44.83/14.75  														| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 44.83/14.75  														|
% 44.83/14.75  															+-Applying beta-rule and splitting (1400), into two cases.
% 44.83/14.75  															|-Branch one:
% 44.83/14.75  															| (1456) all_0_91_91 = e0
% 44.83/14.75  															|
% 44.83/14.75  																| Equations (1456) can reduce 133 to:
% 44.83/14.75  																| (904)  ~ (e4 = e0)
% 44.83/14.75  																|
% 44.83/14.75  																| Simplifying 904 yields:
% 44.83/14.75  																| (23)  ~ (e4 = e0)
% 44.83/14.75  																|
% 44.83/14.75  																| From (1456) and (222) follows:
% 44.83/14.75  																| (8259) op(e2, e0) = all_0_56_56
% 44.83/14.75  																|
% 44.83/14.75  																+-Applying beta-rule and splitting (285), into two cases.
% 44.83/14.75  																|-Branch one:
% 44.83/14.75  																| (1708) all_0_79_79 = e3
% 44.83/14.75  																|
% 44.83/14.75  																	| Combining equations (457,1708) yields a new equation:
% 44.83/14.75  																	| (772) e3 = e1
% 44.83/14.75  																	|
% 44.83/14.75  																	| Equations (772) can reduce 20 to:
% 44.83/14.75  																	| (311) $false
% 44.83/14.75  																	|
% 44.83/14.75  																	|-The branch is then unsatisfiable
% 44.83/14.75  																|-Branch two:
% 44.83/14.75  																| (1711)  ~ (all_0_79_79 = e3)
% 44.83/14.75  																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 44.83/14.75  																|
% 44.83/14.75  																	+-Applying beta-rule and splitting (1712), into two cases.
% 44.83/14.75  																	|-Branch one:
% 44.83/14.75  																	| (795) all_0_83_83 = e3
% 44.83/14.75  																	|
% 44.83/14.75  																		| Equations (795) can reduce 113 to:
% 44.83/14.75  																		| (20)  ~ (e3 = e1)
% 44.83/14.75  																		|
% 44.83/14.75  																		| From (795) and (206) follows:
% 44.83/14.75  																		| (8280) op(e2, e3) = all_0_54_54
% 44.83/14.75  																		|
% 44.83/14.75  																		| Instantiating formula (262) with e2, e3, all_0_54_54, e1 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e1, yields:
% 44.83/14.75  																		| (11306) all_0_54_54 = e1
% 44.83/14.75  																		|
% 44.83/14.75  																		| Instantiating formula (262) with e2, e0, all_0_56_56, e2 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e2, yields:
% 44.83/14.75  																		| (8110) all_0_56_56 = e2
% 44.83/14.75  																		|
% 44.83/14.75  																		+-Applying beta-rule and splitting (33), into two cases.
% 44.83/14.75  																		|-Branch one:
% 44.83/14.75  																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.83/14.75  																		|
% 44.83/14.75  																			+-Applying beta-rule and splitting (1686), into two cases.
% 44.83/14.75  																			|-Branch one:
% 44.83/14.75  																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.83/14.75  																			|
% 44.83/14.75  																				+-Applying beta-rule and splitting (1687), into two cases.
% 44.83/14.75  																				|-Branch one:
% 44.83/14.75  																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.83/14.75  																				|
% 44.83/14.75  																					| Applying alpha-rule on (1688) yields:
% 44.83/14.75  																					| (1689) all_0_52_52 = e4
% 44.83/14.75  																					| (1690)  ~ (all_0_53_53 = e2)
% 44.83/14.75  																					|
% 44.83/14.75  																					| Combining equations (11070,1689) yields a new equation:
% 44.83/14.75  																					| (912) e4 = e0
% 44.83/14.75  																					|
% 44.83/14.75  																					| Equations (912) can reduce 23 to:
% 44.83/14.75  																					| (311) $false
% 44.83/14.75  																					|
% 44.83/14.75  																					|-The branch is then unsatisfiable
% 44.83/14.75  																				|-Branch two:
% 44.83/14.75  																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.83/14.75  																				|
% 44.83/14.75  																					| Applying alpha-rule on (1694) yields:
% 44.83/14.75  																					| (1695) all_0_54_54 = e3
% 44.83/14.75  																					| (1696)  ~ (all_0_55_55 = e2)
% 44.83/14.75  																					|
% 44.83/14.75  																					| Combining equations (11306,1695) yields a new equation:
% 44.83/14.75  																					| (772) e3 = e1
% 44.83/14.75  																					|
% 44.83/14.75  																					| Equations (772) can reduce 20 to:
% 44.83/14.75  																					| (311) $false
% 44.83/14.75  																					|
% 44.83/14.75  																					|-The branch is then unsatisfiable
% 44.83/14.75  																			|-Branch two:
% 44.83/14.75  																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.83/14.75  																			|
% 44.83/14.75  																				| Applying alpha-rule on (1700) yields:
% 44.83/14.75  																				| (1701) all_0_56_56 = e1
% 44.83/14.75  																				| (1702)  ~ (all_0_57_57 = e2)
% 44.83/14.75  																				|
% 44.83/14.75  																				| Combining equations (8110,1701) yields a new equation:
% 44.83/14.75  																				| (408) e2 = e1
% 44.83/14.75  																				|
% 44.83/14.75  																				| Simplifying 408 yields:
% 44.83/14.75  																				| (385) e2 = e1
% 44.83/14.75  																				|
% 44.83/14.75  																				| Equations (385) can reduce 243 to:
% 44.83/14.75  																				| (311) $false
% 44.83/14.75  																				|
% 44.83/14.75  																				|-The branch is then unsatisfiable
% 44.83/14.75  																		|-Branch two:
% 44.83/14.75  																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.83/14.75  																		|
% 44.83/14.75  																			| Applying alpha-rule on (4957) yields:
% 44.83/14.75  																			| (4958) all_0_58_58 = e0
% 44.83/14.75  																			| (4959)  ~ (all_0_59_59 = e2)
% 44.83/14.75  																			|
% 44.83/14.75  																			| Combining equations (8082,4958) yields a new equation:
% 44.83/14.75  																			| (911) e4 = e0
% 44.83/14.75  																			|
% 44.83/14.75  																			| Simplifying 911 yields:
% 44.83/14.75  																			| (912) e4 = e0
% 44.83/14.75  																			|
% 44.83/14.75  																			| Equations (912) can reduce 23 to:
% 44.83/14.75  																			| (311) $false
% 44.83/14.75  																			|
% 44.83/14.75  																			|-The branch is then unsatisfiable
% 44.83/14.75  																	|-Branch two:
% 44.83/14.75  																	| (779)  ~ (all_0_83_83 = e3)
% 44.83/14.75  																	| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 44.83/14.75  																	|
% 44.83/14.75  																		+-Applying beta-rule and splitting (1842), into two cases.
% 44.83/14.75  																		|-Branch one:
% 44.83/14.75  																		| (588) all_0_91_91 = e3
% 44.83/14.75  																		|
% 44.83/14.75  																			| Combining equations (1456,588) yields a new equation:
% 44.83/14.75  																			| (600) e3 = e0
% 44.83/14.75  																			|
% 44.83/14.75  																			| Equations (600) can reduce 50 to:
% 44.83/14.75  																			| (311) $false
% 44.83/14.75  																			|
% 44.83/14.75  																			|-The branch is then unsatisfiable
% 44.83/14.75  																		|-Branch two:
% 44.83/14.75  																		| (571)  ~ (all_0_91_91 = e3)
% 44.83/14.75  																		| (778) all_0_96_96 = e3
% 44.83/14.75  																		|
% 44.83/14.75  																			| Combining equations (778,1704) yields a new equation:
% 44.83/14.75  																			| (547) e3 = e2
% 44.83/14.75  																			|
% 44.83/14.75  																			| Simplifying 547 yields:
% 44.83/14.75  																			| (548) e3 = e2
% 44.83/14.75  																			|
% 44.83/14.75  																			| Equations (548) can reduce 169 to:
% 44.83/14.75  																			| (311) $false
% 44.83/14.75  																			|
% 44.83/14.75  																			|-The branch is then unsatisfiable
% 44.83/14.75  															|-Branch two:
% 44.83/14.75  															| (1487)  ~ (all_0_91_91 = e0)
% 44.83/14.75  															| (1837) all_0_96_96 = e0
% 44.83/14.75  															|
% 44.83/14.75  																| Combining equations (1837,1704) yields a new equation:
% 44.83/14.75  																| (379) e2 = e0
% 44.83/14.75  																|
% 44.83/14.75  																| Equations (379) can reduce 76 to:
% 44.83/14.75  																| (311) $false
% 44.83/14.75  																|
% 44.83/14.75  																|-The branch is then unsatisfiable
% 44.83/14.75  													|-Branch two:
% 44.83/14.75  													| (461)  ~ (all_0_79_79 = e1)
% 44.83/14.75  													| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.83/14.75  													|
% 44.83/14.75  														+-Applying beta-rule and splitting (1623), into two cases.
% 44.83/14.75  														|-Branch one:
% 44.83/14.75  														| (457) all_0_79_79 = e1
% 44.83/14.75  														|
% 44.83/14.75  															| Equations (457) can reduce 461 to:
% 44.83/14.75  															| (311) $false
% 44.83/14.75  															|
% 44.83/14.75  															|-The branch is then unsatisfiable
% 44.83/14.75  														|-Branch two:
% 44.83/14.75  														| (461)  ~ (all_0_79_79 = e1)
% 44.83/14.75  														| (1708) all_0_79_79 = e3
% 44.83/14.75  														|
% 44.83/14.75  															| Combining equations (1708,331) yields a new equation:
% 44.83/14.75  															| (13379) all_0_39_39 = e3
% 44.83/14.75  															|
% 44.83/14.75  															| Equations (1708) can reduce 66 to:
% 44.83/14.75  															| (418)  ~ (all_0_78_78 = e3)
% 44.83/14.75  															|
% 44.83/14.75  															| Equations (1708) can reduce 63 to:
% 44.83/14.75  															| (3267)  ~ (all_0_80_80 = e3)
% 44.83/14.75  															|
% 44.83/14.75  															| Simplifying 3267 yields:
% 44.83/14.75  															| (2347)  ~ (all_0_80_80 = e3)
% 44.83/14.75  															|
% 44.83/14.75  															| Equations (1708) can reduce 272 to:
% 44.83/14.75  															| (12083)  ~ (all_0_83_83 = e3)
% 44.83/14.75  															|
% 44.83/14.75  															| Simplifying 12083 yields:
% 44.83/14.75  															| (779)  ~ (all_0_83_83 = e3)
% 44.83/14.75  															|
% 44.83/14.75  															| Equations (1708) can reduce 461 to:
% 44.83/14.75  															| (20)  ~ (e3 = e1)
% 44.83/14.75  															|
% 44.83/14.75  															| From (1708) and (184) follows:
% 44.83/14.75  															| (11003) op(e2, e3) = all_0_52_52
% 44.83/14.75  															|
% 44.83/14.75  															+-Applying beta-rule and splitting (70), into two cases.
% 44.83/14.75  															|-Branch one:
% 44.83/14.75  															| (400) all_0_78_78 = e2
% 44.83/14.75  															|
% 44.83/14.75  																| Equations (400) can reduce 193 to:
% 44.83/14.75  																| (9974)  ~ (all_0_82_82 = e2)
% 44.83/14.75  																|
% 44.83/14.75  																| Simplifying 9974 yields:
% 44.83/14.75  																| (347)  ~ (all_0_82_82 = e2)
% 44.83/14.75  																|
% 44.83/14.75  																| Equations (400) can reduce 418 to:
% 44.83/14.75  																| (356)  ~ (e3 = e2)
% 44.83/14.75  																|
% 44.83/14.75  																| Simplifying 356 yields:
% 44.83/14.75  																| (169)  ~ (e3 = e2)
% 44.83/14.75  																|
% 44.83/14.75  																| From (400) and (136) follows:
% 44.95/14.76  																| (22936) op(e2, e3) = all_0_1_1
% 44.95/14.76  																|
% 44.95/14.76  																+-Applying beta-rule and splitting (41), into two cases.
% 44.95/14.76  																|-Branch one:
% 44.95/14.76  																| (530) all_0_82_82 = e2
% 44.95/14.76  																|
% 44.95/14.76  																	| Equations (530) can reduce 347 to:
% 44.95/14.76  																	| (311) $false
% 44.95/14.76  																	|
% 44.95/14.76  																	|-The branch is then unsatisfiable
% 44.95/14.76  																|-Branch two:
% 44.95/14.76  																| (347)  ~ (all_0_82_82 = e2)
% 44.95/14.76  																| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 44.95/14.76  																|
% 44.95/14.76  																	+-Applying beta-rule and splitting (533), into two cases.
% 44.95/14.76  																	|-Branch one:
% 44.95/14.76  																	| (453) all_0_83_83 = e2
% 44.95/14.76  																	|
% 44.95/14.76  																		| Equations (453) can reduce 398 to:
% 44.95/14.76  																		| (311) $false
% 44.95/14.76  																		|
% 44.95/14.76  																		|-The branch is then unsatisfiable
% 44.95/14.76  																	|-Branch two:
% 44.95/14.76  																	| (398)  ~ (all_0_83_83 = e2)
% 44.95/14.76  																	| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 44.95/14.76  																	|
% 44.95/14.76  																		+-Applying beta-rule and splitting (537), into two cases.
% 44.95/14.76  																		|-Branch one:
% 44.95/14.76  																		| (552) all_0_84_84 = e2
% 44.95/14.76  																		|
% 44.95/14.76  																			| Equations (552) can reduce 259 to:
% 44.95/14.76  																			| (243)  ~ (e2 = e1)
% 44.95/14.76  																			|
% 44.95/14.76  																			| From (552) and (54) follows:
% 44.95/14.76  																			| (22963) op(e2, e3) = all_0_11_11
% 44.95/14.76  																			|
% 44.95/14.76  																			| From (552) and (194) follows:
% 44.95/14.76  																			| (22964) op(e2, e1) = all_0_12_12
% 44.95/14.76  																			|
% 44.95/14.76  																			+-Applying beta-rule and splitting (456), into two cases.
% 44.95/14.76  																			|-Branch one:
% 44.95/14.76  																			| (795) all_0_83_83 = e3
% 44.95/14.76  																			|
% 44.95/14.76  																				| Equations (795) can reduce 779 to:
% 44.95/14.76  																				| (311) $false
% 44.95/14.76  																				|
% 44.95/14.76  																				|-The branch is then unsatisfiable
% 44.95/14.76  																			|-Branch two:
% 44.95/14.76  																			| (779)  ~ (all_0_83_83 = e3)
% 44.95/14.76  																			| (798) all_0_83_83 = e0
% 44.95/14.76  																			|
% 44.95/14.76  																				| Equations (798) can reduce 146 to:
% 44.95/14.76  																				| (1830)  ~ (all_0_91_91 = e0)
% 44.95/14.76  																				|
% 44.95/14.76  																				| Simplifying 1830 yields:
% 44.95/14.76  																				| (1487)  ~ (all_0_91_91 = e0)
% 44.95/14.76  																				|
% 44.95/14.76  																				| Equations (798) can reduce 155 to:
% 44.95/14.76  																				| (904)  ~ (e4 = e0)
% 44.95/14.76  																				|
% 44.95/14.76  																				| Simplifying 904 yields:
% 44.95/14.76  																				| (23)  ~ (e4 = e0)
% 44.95/14.76  																				|
% 44.95/14.76  																				| From (798) and (206) follows:
% 44.95/14.76  																				| (8092) op(e2, e0) = all_0_54_54
% 44.95/14.76  																				|
% 44.95/14.76  																				+-Applying beta-rule and splitting (462), into two cases.
% 44.95/14.76  																				|-Branch one:
% 44.95/14.76  																				| (801) all_0_91_91 = e1
% 44.95/14.76  																				|
% 44.95/14.76  																					| Equations (801) can reduce 133 to:
% 44.95/14.76  																					| (681)  ~ (e4 = e1)
% 44.95/14.76  																					|
% 44.95/14.76  																					| Simplifying 681 yields:
% 44.95/14.76  																					| (256)  ~ (e4 = e1)
% 44.95/14.76  																					|
% 44.95/14.76  																					| Equations (801) can reduce 1487 to:
% 44.95/14.76  																					| (264)  ~ (e1 = e0)
% 44.95/14.76  																					|
% 44.95/14.76  																					| From (801) and (222) follows:
% 44.95/14.76  																					| (10993) op(e2, e1) = all_0_56_56
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e3, all_0_11_11, e1 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = e1, yields:
% 44.95/14.76  																					| (22974) all_0_11_11 = e1
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e3, all_0_11_11, all_0_1_1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_11_11, yields:
% 44.95/14.76  																					| (22972) all_0_1_1 = all_0_11_11
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e3, all_0_52_52, all_0_1_1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_52_52, yields:
% 44.95/14.76  																					| (24396) all_0_1_1 = all_0_52_52
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e1, all_0_12_12, e0 and discharging atoms op(e2, e1) = all_0_12_12, op(e2, e1) = e0, yields:
% 44.95/14.76  																					| (22973) all_0_12_12 = e0
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e1, all_0_56_56, all_0_12_12 and discharging atoms op(e2, e1) = all_0_12_12, op(e2, e1) = all_0_56_56, yields:
% 44.95/14.76  																					| (24398) all_0_12_12 = all_0_56_56
% 44.95/14.76  																					|
% 44.95/14.76  																					| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 44.95/14.76  																					| (8281) all_0_54_54 = e2
% 44.95/14.76  																					|
% 44.95/14.77  																					| Combining equations (22972,24396) yields a new equation:
% 44.95/14.77  																					| (24400) all_0_11_11 = all_0_52_52
% 44.95/14.77  																					|
% 44.95/14.77  																					| Simplifying 24400 yields:
% 44.95/14.77  																					| (24401) all_0_11_11 = all_0_52_52
% 44.95/14.77  																					|
% 44.95/14.77  																					| Combining equations (22974,24401) yields a new equation:
% 44.95/14.77  																					| (15841) all_0_52_52 = e1
% 44.95/14.77  																					|
% 44.95/14.77  																					| Combining equations (22973,24398) yields a new equation:
% 44.95/14.77  																					| (10959) all_0_56_56 = e0
% 44.95/14.77  																					|
% 44.95/14.77  																					+-Applying beta-rule and splitting (33), into two cases.
% 44.95/14.77  																					|-Branch one:
% 44.95/14.77  																					| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.95/14.77  																					|
% 44.95/14.77  																						+-Applying beta-rule and splitting (1686), into two cases.
% 44.95/14.77  																						|-Branch one:
% 44.95/14.77  																						| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.95/14.77  																						|
% 44.95/14.77  																							+-Applying beta-rule and splitting (1687), into two cases.
% 44.95/14.77  																							|-Branch one:
% 44.95/14.77  																							| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.95/14.77  																							|
% 44.95/14.77  																								| Applying alpha-rule on (1688) yields:
% 44.95/14.77  																								| (1689) all_0_52_52 = e4
% 44.95/14.77  																								| (1690)  ~ (all_0_53_53 = e2)
% 44.95/14.77  																								|
% 44.95/14.77  																								| Combining equations (15841,1689) yields a new equation:
% 44.95/14.77  																								| (814) e4 = e1
% 44.95/14.77  																								|
% 44.95/14.77  																								| Equations (814) can reduce 256 to:
% 44.95/14.77  																								| (311) $false
% 44.95/14.77  																								|
% 44.95/14.77  																								|-The branch is then unsatisfiable
% 44.95/14.77  																							|-Branch two:
% 44.95/14.77  																							| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.95/14.77  																							|
% 44.95/14.77  																								| Applying alpha-rule on (1694) yields:
% 44.95/14.77  																								| (1695) all_0_54_54 = e3
% 44.95/14.77  																								| (1696)  ~ (all_0_55_55 = e2)
% 44.95/14.77  																								|
% 44.95/14.77  																								| Combining equations (8281,1695) yields a new equation:
% 44.95/14.77  																								| (548) e3 = e2
% 44.95/14.77  																								|
% 44.95/14.77  																								| Equations (548) can reduce 169 to:
% 44.95/14.77  																								| (311) $false
% 44.95/14.77  																								|
% 44.95/14.77  																								|-The branch is then unsatisfiable
% 44.95/14.77  																						|-Branch two:
% 44.95/14.77  																						| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.95/14.77  																						|
% 44.95/14.77  																							| Applying alpha-rule on (1700) yields:
% 44.95/14.77  																							| (1701) all_0_56_56 = e1
% 44.95/14.77  																							| (1702)  ~ (all_0_57_57 = e2)
% 44.95/14.77  																							|
% 44.95/14.77  																							| Combining equations (10959,1701) yields a new equation:
% 44.95/14.77  																							| (865) e1 = e0
% 44.95/14.77  																							|
% 44.95/14.77  																							| Equations (865) can reduce 264 to:
% 44.95/14.77  																							| (311) $false
% 44.95/14.77  																							|
% 44.95/14.77  																							|-The branch is then unsatisfiable
% 44.95/14.77  																					|-Branch two:
% 44.95/14.77  																					| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.95/14.77  																					|
% 44.95/14.77  																						| Applying alpha-rule on (4957) yields:
% 44.95/14.77  																						| (4958) all_0_58_58 = e0
% 44.95/14.77  																						| (4959)  ~ (all_0_59_59 = e2)
% 44.95/14.77  																						|
% 44.95/14.77  																						| Combining equations (8082,4958) yields a new equation:
% 44.95/14.77  																						| (911) e4 = e0
% 44.95/14.77  																						|
% 44.95/14.77  																						| Simplifying 911 yields:
% 44.95/14.77  																						| (912) e4 = e0
% 44.95/14.77  																						|
% 44.95/14.77  																						| Equations (912) can reduce 23 to:
% 44.95/14.77  																						| (311) $false
% 44.95/14.77  																						|
% 44.95/14.77  																						|-The branch is then unsatisfiable
% 44.95/14.77  																				|-Branch two:
% 44.95/14.77  																				| (959)  ~ (all_0_91_91 = e1)
% 44.95/14.77  																				| (960) all_0_96_96 = e1
% 44.95/14.77  																				|
% 44.95/14.77  																					| Combining equations (1704,960) yields a new equation:
% 44.95/14.77  																					| (408) e2 = e1
% 44.95/14.77  																					|
% 44.95/14.77  																					| Simplifying 408 yields:
% 44.95/14.77  																					| (385) e2 = e1
% 44.95/14.77  																					|
% 44.95/14.77  																					| Equations (385) can reduce 243 to:
% 44.95/14.77  																					| (311) $false
% 44.95/14.77  																					|
% 44.95/14.77  																					|-The branch is then unsatisfiable
% 44.95/14.77  																		|-Branch two:
% 44.95/14.77  																		| (612)  ~ (all_0_84_84 = e2)
% 44.95/14.77  																		| (512) all_0_85_85 = e2
% 44.95/14.77  																		|
% 44.95/14.77  																			| Equations (512) can reduce 515 to:
% 44.95/14.77  																			| (311) $false
% 44.95/14.77  																			|
% 44.95/14.77  																			|-The branch is then unsatisfiable
% 44.95/14.77  															|-Branch two:
% 44.95/14.77  															| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.77  															| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 44.95/14.77  															|
% 44.95/14.77  																+-Applying beta-rule and splitting (403), into two cases.
% 44.95/14.77  																|-Branch one:
% 44.95/14.77  																| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 44.95/14.77  																|
% 44.95/14.77  																	+-Applying beta-rule and splitting (404), into two cases.
% 44.95/14.77  																	|-Branch one:
% 44.95/14.77  																	| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 44.95/14.77  																	|
% 44.95/14.77  																		| Applying alpha-rule on (405) yields:
% 44.95/14.77  																		| (406) all_0_39_39 = e1
% 44.95/14.77  																		| (407)  ~ (all_0_40_40 = e4)
% 44.95/14.77  																		|
% 44.95/14.77  																		| Combining equations (406,13379) yields a new equation:
% 44.95/14.77  																		| (772) e3 = e1
% 44.95/14.77  																		|
% 44.95/14.77  																		| Equations (772) can reduce 20 to:
% 44.95/14.77  																		| (311) $false
% 44.95/14.77  																		|
% 44.95/14.77  																		|-The branch is then unsatisfiable
% 44.95/14.77  																	|-Branch two:
% 44.95/14.78  																	| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 44.95/14.78  																	|
% 44.95/14.78  																		| Applying alpha-rule on (411) yields:
% 44.95/14.78  																		| (337) all_0_41_41 = e0
% 44.95/14.78  																		| (413)  ~ (all_0_42_42 = e4)
% 44.95/14.78  																		|
% 44.95/14.78  																		| Equations (336) can reduce 413 to:
% 44.95/14.78  																		| (311) $false
% 44.95/14.78  																		|
% 44.95/14.78  																		|-The branch is then unsatisfiable
% 44.95/14.78  																|-Branch two:
% 44.95/14.78  																| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 44.95/14.78  																|
% 44.95/14.78  																	| Applying alpha-rule on (415) yields:
% 44.95/14.78  																	| (416) all_0_80_80 = e3
% 44.95/14.78  																	| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.78  																	|
% 44.95/14.78  																	| Equations (416) can reduce 2347 to:
% 44.95/14.78  																	| (311) $false
% 44.95/14.78  																	|
% 44.95/14.78  																	|-The branch is then unsatisfiable
% 44.95/14.78  						|-Branch two:
% 44.95/14.78  						| (387)  ~ (all_0_86_86 = e1)
% 44.95/14.78  						| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 44.95/14.78  						|
% 44.95/14.78  							+-Applying beta-rule and splitting (9512), into two cases.
% 44.95/14.78  							|-Branch one:
% 44.95/14.78  							| (384) all_0_86_86 = e1
% 44.95/14.78  							|
% 44.95/14.78  								| Equations (384) can reduce 387 to:
% 44.95/14.78  								| (311) $false
% 44.95/14.78  								|
% 44.95/14.78  								|-The branch is then unsatisfiable
% 44.95/14.78  							|-Branch two:
% 44.95/14.78  							| (387)  ~ (all_0_86_86 = e1)
% 44.95/14.78  							| (378) all_0_86_86 = e0
% 44.95/14.78  							|
% 44.95/14.78  								| Equations (378) can reduce 82 to:
% 44.95/14.78  								| (86)  ~ (all_0_78_78 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 81 to:
% 44.95/14.78  								| (914)  ~ (all_0_82_82 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 162 to:
% 44.95/14.78  								| (1317)  ~ (all_0_87_87 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Simplifying 1317 yields:
% 44.95/14.78  								| (889)  ~ (all_0_87_87 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 139 to:
% 44.95/14.78  								| (2710)  ~ (all_0_90_90 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Simplifying 2710 yields:
% 44.95/14.78  								| (762)  ~ (all_0_90_90 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 91 to:
% 44.95/14.78  								| (2712)  ~ (all_0_95_95 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Simplifying 2712 yields:
% 44.95/14.78  								| (893)  ~ (all_0_95_95 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 241 to:
% 44.95/14.78  								| (904)  ~ (e4 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Simplifying 904 yields:
% 44.95/14.78  								| (23)  ~ (e4 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Equations (378) can reduce 134 to:
% 44.95/14.78  								| (906)  ~ (e3 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| Simplifying 906 yields:
% 44.95/14.78  								| (50)  ~ (e3 = e0)
% 44.95/14.78  								|
% 44.95/14.78  								| From (378) and (74) follows:
% 44.95/14.78  								| (24469) op(e0, e3) = all_0_16_16
% 44.95/14.78  								|
% 44.95/14.78  								| From (378) and (130) follows:
% 44.95/14.78  								| (24470) op(e0, e2) = all_0_15_15
% 44.95/14.78  								|
% 44.95/14.78  								| From (378) and (110) follows:
% 44.95/14.78  								| (9556) op(e3, e0) = all_0_46_46
% 44.95/14.78  								|
% 44.95/14.78  								| From (378) and (167) follows:
% 44.95/14.78  								| (9557) op(e2, e0) = all_0_47_47
% 44.95/14.78  								|
% 44.95/14.78  								| From (378) and (245) follows:
% 44.95/14.78  								| (5343) op(e2, e3) = e0
% 44.95/14.78  								|
% 44.95/14.78  								+-Applying beta-rule and splitting (377), into two cases.
% 44.95/14.78  								|-Branch one:
% 44.95/14.78  								| (482) all_0_87_87 = e1
% 44.95/14.78  								|
% 44.95/14.78  									| Equations (482) can reduce 73 to:
% 44.95/14.78  									| (828)  ~ (all_0_80_80 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 124 to:
% 44.95/14.78  									| (259)  ~ (all_0_84_84 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 94 to:
% 44.95/14.78  									| (2131)  ~ (all_0_92_92 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Simplifying 2131 yields:
% 44.95/14.78  									| (840)  ~ (all_0_92_92 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 221 to:
% 44.95/14.78  									| (485)  ~ (all_0_97_97 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Simplifying 485 yields:
% 44.95/14.78  									| (486)  ~ (all_0_97_97 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 216 to:
% 44.95/14.78  									| (681)  ~ (e4 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Simplifying 681 yields:
% 44.95/14.78  									| (256)  ~ (e4 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 227 to:
% 44.95/14.78  									| (683)  ~ (e3 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Simplifying 683 yields:
% 44.95/14.78  									| (20)  ~ (e3 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 349 to:
% 44.95/14.78  									| (487)  ~ (e2 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Simplifying 487 yields:
% 44.95/14.78  									| (243)  ~ (e2 = e1)
% 44.95/14.78  									|
% 44.95/14.78  									| Equations (482) can reduce 889 to:
% 44.95/14.78  									| (264)  ~ (e1 = e0)
% 44.95/14.78  									|
% 44.95/14.78  									| From (482) and (18) follows:
% 44.95/14.78  									| (24488) op(e1, e2) = all_0_17_17
% 44.95/14.78  									|
% 44.95/14.78  									| From (482) and (149) follows:
% 44.95/14.78  									| (24489) op(e1, e1) = all_0_18_18
% 44.95/14.78  									|
% 44.95/14.78  									| From (482) and (83) follows:
% 44.95/14.78  									| (24490) op(e2, e1) = all_0_65_65
% 44.95/14.78  									|
% 44.95/14.78  									| From (482) and (14) follows:
% 44.95/14.78  									| (13258) op(e2, e1) = e1
% 44.95/14.78  									|
% 44.95/14.78  									| From (482) and (16) follows:
% 44.95/14.78  									| (489) op(e1, e1) = all_0_64_64
% 44.95/14.78  									|
% 44.95/14.78  									| Instantiating formula (262) with e3, e0, all_0_46_46, all_0_85_85 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = all_0_85_85, yields:
% 44.95/14.78  									| (9576) all_0_46_46 = all_0_85_85
% 44.95/14.78  									|
% 44.95/14.78  									| Instantiating formula (262) with e2, e1, e1, all_0_65_65 and discharging atoms op(e2, e1) = all_0_65_65, op(e2, e1) = e1, yields:
% 44.95/14.78  									| (6145) all_0_65_65 = e1
% 44.95/14.78  									|
% 44.95/14.78  									| Instantiating formula (262) with e2, e0, all_0_47_47, e2 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e2, yields:
% 44.95/14.78  									| (13665) all_0_47_47 = e2
% 44.95/14.78  									|
% 44.95/14.78  									| Instantiating formula (262) with e1, e2, all_0_17_17, all_0_91_91 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = all_0_91_91, yields:
% 44.95/14.78  									| (24496) all_0_17_17 = all_0_91_91
% 44.95/14.78  									|
% 44.95/14.78  									| Instantiating formula (262) with e1, e1, all_0_18_18, all_0_92_92 and discharging atoms op(e1, e1) = all_0_18_18, op(e1, e1) = all_0_92_92, yields:
% 44.95/14.79  									| (24497) all_0_18_18 = all_0_92_92
% 44.95/14.79  									|
% 44.95/14.79  									| Instantiating formula (262) with e1, e1, all_0_64_64, all_0_18_18 and discharging atoms op(e1, e1) = all_0_18_18, op(e1, e1) = all_0_64_64, yields:
% 44.95/14.79  									| (24498) all_0_18_18 = all_0_64_64
% 44.95/14.79  									|
% 44.95/14.79  									| Instantiating formula (262) with e0, e3, all_0_16_16, all_0_95_95 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = all_0_95_95, yields:
% 44.95/14.79  									| (24499) all_0_16_16 = all_0_95_95
% 44.95/14.79  									|
% 44.95/14.79  									| Instantiating formula (262) with e0, e2, all_0_15_15, all_0_96_96 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_96_96, yields:
% 44.95/14.79  									| (24500) all_0_15_15 = all_0_96_96
% 44.95/14.79  									|
% 44.95/14.79  									| Combining equations (24498,24497) yields a new equation:
% 44.95/14.79  									| (24501) all_0_64_64 = all_0_92_92
% 44.95/14.79  									|
% 44.95/14.79  									| Simplifying 24501 yields:
% 44.95/14.79  									| (5478) all_0_64_64 = all_0_92_92
% 44.95/14.79  									|
% 44.95/14.79  									| From (9576) and (9556) follows:
% 44.95/14.79  									| (8) op(e3, e0) = all_0_85_85
% 44.95/14.79  									|
% 44.95/14.79  									| From (6145) and (24490) follows:
% 44.95/14.79  									| (13258) op(e2, e1) = e1
% 44.95/14.79  									|
% 44.95/14.79  									| From (13665) and (9557) follows:
% 44.95/14.79  									| (18818) op(e2, e0) = e2
% 44.95/14.79  									|
% 44.95/14.79  									| From (24496) and (24488) follows:
% 44.95/14.80  									| (3) op(e1, e2) = all_0_91_91
% 44.95/14.80  									|
% 44.95/14.80  									| From (5478) and (489) follows:
% 44.95/14.80  									| (135) op(e1, e1) = all_0_92_92
% 44.95/14.80  									|
% 44.95/14.80  									| From (24499) and (24469) follows:
% 44.95/14.80  									| (275) op(e0, e3) = all_0_95_95
% 44.95/14.80  									|
% 44.95/14.80  									| From (24500) and (24470) follows:
% 44.95/14.80  									| (59) op(e0, e2) = all_0_96_96
% 44.95/14.80  									|
% 44.95/14.80  									+-Applying beta-rule and splitting (143), into two cases.
% 44.95/14.80  									|-Branch one:
% 44.95/14.80  									| (390) all_0_79_79 = e2
% 44.95/14.80  									|
% 44.95/14.80  										| Combining equations (390,331) yields a new equation:
% 44.95/14.80  										| (391) all_0_39_39 = e2
% 44.95/14.80  										|
% 44.95/14.80  										| Equations (390) can reduce 66 to:
% 44.95/14.80  										| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Equations (390) can reduce 15 to:
% 44.95/14.80  										| (395)  ~ (all_0_81_81 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Simplifying 395 yields:
% 44.95/14.80  										| (396)  ~ (all_0_81_81 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Equations (390) can reduce 272 to:
% 44.95/14.80  										| (397)  ~ (all_0_83_83 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Simplifying 397 yields:
% 44.95/14.80  										| (398)  ~ (all_0_83_83 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Equations (390) can reduce 17 to:
% 44.95/14.80  										| (295)  ~ (all_0_91_91 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Simplifying 295 yields:
% 44.95/14.80  										| (296)  ~ (all_0_91_91 = e2)
% 44.95/14.80  										|
% 44.95/14.80  										| Equations (390) can reduce 9 to:
% 44.95/14.80  										| (76)  ~ (e2 = e0)
% 44.95/14.80  										|
% 44.95/14.80  										| From (390) and (190) follows:
% 44.95/14.80  										| (24520) op(e4, e2) = all_0_53_53
% 44.95/14.80  										|
% 44.95/14.80  										| From (390) and (267) follows:
% 44.95/14.80  										| (24521) op(e4, e2) = e2
% 44.95/14.80  										|
% 44.95/14.80  										+-Applying beta-rule and splitting (70), into two cases.
% 44.95/14.80  										|-Branch one:
% 44.95/14.80  										| (400) all_0_78_78 = e2
% 44.95/14.80  										|
% 44.95/14.80  											| Equations (400) can reduce 346 to:
% 44.95/14.80  											| (311) $false
% 44.95/14.80  											|
% 44.95/14.80  											|-The branch is then unsatisfiable
% 44.95/14.80  										|-Branch two:
% 44.95/14.80  										| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.80  										| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 44.95/14.80  										|
% 44.95/14.80  											+-Applying beta-rule and splitting (403), into two cases.
% 44.95/14.80  											|-Branch one:
% 44.95/14.80  											| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 44.95/14.80  											|
% 44.95/14.80  												+-Applying beta-rule and splitting (404), into two cases.
% 44.95/14.80  												|-Branch one:
% 44.95/14.80  												| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 44.95/14.80  												|
% 44.95/14.80  													| Applying alpha-rule on (405) yields:
% 44.95/14.80  													| (406) all_0_39_39 = e1
% 44.95/14.80  													| (407)  ~ (all_0_40_40 = e4)
% 44.95/14.80  													|
% 44.95/14.80  													| Combining equations (406,391) yields a new equation:
% 44.95/14.80  													| (385) e2 = e1
% 44.95/14.80  													|
% 44.95/14.80  													| Equations (385) can reduce 243 to:
% 44.95/14.80  													| (311) $false
% 44.95/14.80  													|
% 44.95/14.80  													|-The branch is then unsatisfiable
% 44.95/14.80  												|-Branch two:
% 44.95/14.80  												| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 44.95/14.80  												|
% 44.95/14.80  													| Applying alpha-rule on (411) yields:
% 44.95/14.80  													| (337) all_0_41_41 = e0
% 44.95/14.80  													| (413)  ~ (all_0_42_42 = e4)
% 44.95/14.80  													|
% 44.95/14.80  													| Equations (336) can reduce 413 to:
% 44.95/14.80  													| (311) $false
% 44.95/14.80  													|
% 44.95/14.80  													|-The branch is then unsatisfiable
% 44.95/14.80  											|-Branch two:
% 44.95/14.80  											| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 44.95/14.80  											|
% 44.95/14.80  												| Applying alpha-rule on (415) yields:
% 44.95/14.80  												| (416) all_0_80_80 = e3
% 44.95/14.80  												| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 67 to:
% 44.95/14.80  												| (418)  ~ (all_0_78_78 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 144 to:
% 44.95/14.80  												| (419)  ~ (all_0_81_81 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Simplifying 419 yields:
% 44.95/14.80  												| (420)  ~ (all_0_81_81 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 273 to:
% 44.95/14.80  												| (421)  ~ (all_0_84_84 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Simplifying 421 yields:
% 44.95/14.80  												| (422)  ~ (all_0_84_84 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 49 to:
% 44.95/14.80  												| (425)  ~ (all_0_92_92 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Simplifying 425 yields:
% 44.95/14.80  												| (426)  ~ (all_0_92_92 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 202 to:
% 44.95/14.80  												| (427)  ~ (all_0_97_97 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Simplifying 427 yields:
% 44.95/14.80  												| (428)  ~ (all_0_97_97 = e3)
% 44.95/14.80  												|
% 44.95/14.80  												| Equations (416) can reduce 828 to:
% 44.95/14.80  												| (20)  ~ (e3 = e1)
% 44.95/14.80  												|
% 44.95/14.80  												| From (416) and (233) follows:
% 44.95/14.80  												| (432) op(e1, e3) = all_0_60_60
% 44.95/14.80  												|
% 44.95/14.80  												+-Applying beta-rule and splitting (210), into two cases.
% 44.95/14.80  												|-Branch one:
% 44.95/14.80  												| (433) all_0_80_80 = e4
% 44.95/14.80  												|
% 44.95/14.80  													| Combining equations (433,416) yields a new equation:
% 44.95/14.80  													| (790) e4 = e3
% 44.95/14.80  													|
% 44.95/14.80  													| Simplifying 790 yields:
% 44.95/14.80  													| (434) e4 = e3
% 44.95/14.80  													|
% 44.95/14.80  													| Equations (434) can reduce 177 to:
% 44.95/14.80  													| (311) $false
% 44.95/14.80  													|
% 44.95/14.80  													|-The branch is then unsatisfiable
% 44.95/14.80  												|-Branch two:
% 44.95/14.80  												| (436)  ~ (all_0_80_80 = e4)
% 44.95/14.80  												| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 44.95/14.80  												|
% 44.95/14.80  													+-Applying beta-rule and splitting (437), into two cases.
% 44.95/14.80  													|-Branch one:
% 44.95/14.80  													| (438) all_0_84_84 = e4
% 44.95/14.80  													|
% 44.95/14.80  														| Equations (438) can reduce 417 to:
% 44.95/14.80  														| (311) $false
% 44.95/14.80  														|
% 44.95/14.80  														|-The branch is then unsatisfiable
% 44.95/14.80  													|-Branch two:
% 44.95/14.80  													| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.80  													| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 44.95/14.80  													|
% 44.95/14.80  														+-Applying beta-rule and splitting (441), into two cases.
% 44.95/14.80  														|-Branch one:
% 44.95/14.80  														| (442) all_0_92_92 = e4
% 44.95/14.80  														|
% 44.95/14.80  															| Combining equations (442,5478) yields a new equation:
% 44.95/14.80  															| (575) all_0_64_64 = e4
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 87 to:
% 44.95/14.80  															| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 72 to:
% 44.95/14.80  															| (467)  ~ (all_0_90_90 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 283 to:
% 44.95/14.80  															| (495)  ~ (all_0_93_93 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Simplifying 495 yields:
% 44.95/14.80  															| (496)  ~ (all_0_93_93 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 258 to:
% 44.95/14.80  															| (318)  ~ (all_0_97_97 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Simplifying 318 yields:
% 44.95/14.80  															| (319)  ~ (all_0_97_97 = e4)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 426 to:
% 44.95/14.80  															| (177)  ~ (e4 = e3)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 298 to:
% 44.95/14.80  															| (79)  ~ (e4 = e2)
% 44.95/14.80  															|
% 44.95/14.80  															| Equations (442) can reduce 840 to:
% 44.95/14.80  															| (256)  ~ (e4 = e1)
% 44.95/14.80  															|
% 44.95/14.80  															| Instantiating formula (262) with e4, e2, e2, all_0_53_53 and discharging atoms op(e4, e2) = all_0_53_53, op(e4, e2) = e2, yields:
% 44.95/14.80  															| (24571) all_0_53_53 = e2
% 44.95/14.80  															|
% 44.95/14.80  															| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 44.95/14.80  															| (451) all_0_60_60 = all_0_90_90
% 44.95/14.80  															|
% 44.95/14.80  															+-Applying beta-rule and splitting (52), into two cases.
% 44.95/14.80  															|-Branch one:
% 44.95/14.80  															| (453) all_0_83_83 = e2
% 44.95/14.80  															|
% 44.95/14.80  																| Equations (453) can reduce 398 to:
% 44.95/14.80  																| (311) $false
% 44.95/14.80  																|
% 44.95/14.80  																|-The branch is then unsatisfiable
% 44.95/14.80  															|-Branch two:
% 44.95/14.80  															| (398)  ~ (all_0_83_83 = e2)
% 44.95/14.80  															| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 44.95/14.80  															|
% 44.95/14.80  																+-Applying beta-rule and splitting (127), into two cases.
% 44.95/14.80  																|-Branch one:
% 44.95/14.80  																| (457) all_0_79_79 = e1
% 44.95/14.80  																|
% 44.95/14.80  																	| Combining equations (390,457) yields a new equation:
% 44.95/14.80  																	| (408) e2 = e1
% 44.95/14.80  																	|
% 44.95/14.80  																	| Simplifying 408 yields:
% 44.95/14.80  																	| (385) e2 = e1
% 44.95/14.80  																	|
% 44.95/14.80  																	| Equations (385) can reduce 243 to:
% 44.95/14.80  																	| (311) $false
% 44.95/14.80  																	|
% 44.95/14.80  																	|-The branch is then unsatisfiable
% 44.95/14.80  																|-Branch two:
% 44.95/14.80  																| (461)  ~ (all_0_79_79 = e1)
% 44.95/14.80  																| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 44.95/14.80  																|
% 44.95/14.80  																	+-Applying beta-rule and splitting (92), into two cases.
% 44.95/14.80  																	|-Branch one:
% 44.95/14.80  																	| (552) all_0_84_84 = e2
% 44.95/14.80  																	|
% 44.95/14.80  																		| Equations (552) can reduce 7 to:
% 44.95/14.80  																		| (347)  ~ (all_0_82_82 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Equations (552) can reduce 223 to:
% 44.95/14.80  																		| (398)  ~ (all_0_83_83 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Equations (552) can reduce 195 to:
% 44.95/14.80  																		| (2376)  ~ (all_0_97_97 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Simplifying 2376 yields:
% 44.95/14.80  																		| (527)  ~ (all_0_97_97 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Equations (552) can reduce 417 to:
% 44.95/14.80  																		| (528)  ~ (e4 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Simplifying 528 yields:
% 44.95/14.80  																		| (79)  ~ (e4 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Equations (552) can reduce 422 to:
% 44.95/14.80  																		| (356)  ~ (e3 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Simplifying 356 yields:
% 44.95/14.80  																		| (169)  ~ (e3 = e2)
% 44.95/14.80  																		|
% 44.95/14.80  																		| Equations (552) can reduce 259 to:
% 44.95/14.80  																		| (243)  ~ (e2 = e1)
% 44.95/14.80  																		|
% 44.95/14.80  																		| From (552) and (122) follows:
% 44.95/14.80  																		| (555) op(e1, e2) = all_0_62_62
% 44.95/14.80  																		|
% 44.95/14.80  																		+-Applying beta-rule and splitting (2), into two cases.
% 44.95/14.80  																		|-Branch one:
% 44.95/14.80  																		| (916) all_0_84_84 = e0
% 44.95/14.80  																		|
% 44.95/14.80  																			| Combining equations (552,916) yields a new equation:
% 44.95/14.80  																			| (923) e2 = e0
% 44.95/14.80  																			|
% 44.95/14.80  																			| Simplifying 923 yields:
% 44.95/14.80  																			| (379) e2 = e0
% 44.95/14.80  																			|
% 44.95/14.80  																			| Equations (379) can reduce 76 to:
% 44.95/14.80  																			| (311) $false
% 44.95/14.80  																			|
% 44.95/14.80  																			|-The branch is then unsatisfiable
% 44.95/14.80  																		|-Branch two:
% 44.95/14.80  																		| (919)  ~ (all_0_84_84 = e0)
% 44.95/14.80  																		| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 44.95/14.80  																		|
% 44.95/14.80  																			+-Applying beta-rule and splitting (112), into two cases.
% 44.95/14.80  																			|-Branch one:
% 44.95/14.80  																			| (538) all_0_97_97 = e2
% 44.95/14.80  																			|
% 44.95/14.80  																				| Equations (538) can reduce 527 to:
% 44.95/14.80  																				| (311) $false
% 44.95/14.80  																				|
% 44.95/14.80  																				|-The branch is then unsatisfiable
% 44.95/14.80  																			|-Branch two:
% 44.95/14.80  																			| (527)  ~ (all_0_97_97 = e2)
% 44.95/14.80  																			| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 44.95/14.80  																			|
% 44.95/14.80  																				+-Applying beta-rule and splitting (920), into two cases.
% 44.95/14.80  																				|-Branch one:
% 44.95/14.80  																				| (861) all_0_87_87 = e0
% 44.95/14.80  																				|
% 44.95/14.80  																					| Combining equations (861,482) yields a new equation:
% 44.95/14.80  																					| (865) e1 = e0
% 44.95/14.80  																					|
% 44.95/14.80  																					| Equations (865) can reduce 264 to:
% 44.95/14.80  																					| (311) $false
% 44.95/14.80  																					|
% 44.95/14.80  																					|-The branch is then unsatisfiable
% 44.95/14.80  																				|-Branch two:
% 44.95/14.80  																				| (889)  ~ (all_0_87_87 = e0)
% 44.95/14.80  																				| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 44.95/14.80  																				|
% 44.95/14.80  																					+-Applying beta-rule and splitting (246), into two cases.
% 44.95/14.80  																					|-Branch one:
% 44.95/14.80  																					| (400) all_0_78_78 = e2
% 44.95/14.80  																					|
% 44.95/14.80  																						| Equations (400) can reduce 346 to:
% 44.95/14.80  																						| (311) $false
% 44.95/14.80  																						|
% 44.95/14.80  																						|-The branch is then unsatisfiable
% 44.95/14.80  																					|-Branch two:
% 44.95/14.80  																					| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.81  																					| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.95/14.81  																					|
% 44.95/14.81  																						+-Applying beta-rule and splitting (931), into two cases.
% 44.95/14.81  																						|-Branch one:
% 44.95/14.81  																						| (942) all_0_92_92 = e0
% 44.95/14.81  																						|
% 44.95/14.81  																							| Combining equations (942,442) yields a new equation:
% 44.95/14.81  																							| (912) e4 = e0
% 44.95/14.81  																							|
% 44.95/14.81  																							| Equations (912) can reduce 23 to:
% 44.95/14.81  																							| (311) $false
% 44.95/14.81  																							|
% 44.95/14.81  																							|-The branch is then unsatisfiable
% 44.95/14.81  																						|-Branch two:
% 44.95/14.81  																						| (946)  ~ (all_0_92_92 = e0)
% 44.95/14.81  																						| (560) all_0_97_97 = e0
% 44.95/14.81  																						|
% 44.95/14.81  																							| Equations (560) can reduce 22 to:
% 44.95/14.81  																							| (2095)  ~ (all_0_96_96 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Equations (560) can reduce 148 to:
% 44.95/14.81  																							| (2058)  ~ (all_0_98_98 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Simplifying 2058 yields:
% 44.95/14.81  																							| (2059)  ~ (all_0_98_98 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Equations (560) can reduce 428 to:
% 44.95/14.81  																							| (906)  ~ (e3 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Simplifying 906 yields:
% 44.95/14.81  																							| (50)  ~ (e3 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Equations (560) can reduce 527 to:
% 44.95/14.81  																							| (510)  ~ (e2 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| Simplifying 510 yields:
% 44.95/14.81  																							| (76)  ~ (e2 = e0)
% 44.95/14.81  																							|
% 44.95/14.81  																							| From (560) and (252) follows:
% 44.95/14.81  																							| (561) op(e1, e0) = all_0_67_67
% 44.95/14.81  																							|
% 44.95/14.81  																							| From (560) and (69) follows:
% 44.95/14.81  																							| (24626) op(e0, e0) = all_0_68_68
% 44.95/14.81  																							|
% 44.95/14.81  																							+-Applying beta-rule and splitting (13415), into two cases.
% 44.95/14.81  																							|-Branch one:
% 44.95/14.81  																							| (530) all_0_82_82 = e2
% 44.95/14.81  																							|
% 44.95/14.81  																								| Equations (530) can reduce 347 to:
% 44.95/14.81  																								| (311) $false
% 44.95/14.81  																								|
% 44.95/14.81  																								|-The branch is then unsatisfiable
% 44.95/14.81  																							|-Branch two:
% 44.95/14.81  																							| (347)  ~ (all_0_82_82 = e2)
% 44.95/14.81  																							| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 44.95/14.81  																							|
% 44.95/14.81  																								+-Applying beta-rule and splitting (97), into two cases.
% 44.95/14.81  																								|-Branch one:
% 44.95/14.81  																								| (1757) all_0_94_94 = e2
% 44.95/14.81  																								|
% 44.95/14.81  																									| Combining equations (313,1757) yields a new equation:
% 44.95/14.81  																									| (309) e4 = e2
% 44.95/14.81  																									|
% 44.95/14.81  																									| Simplifying 309 yields:
% 44.95/14.81  																									| (310) e4 = e2
% 44.95/14.81  																									|
% 44.95/14.81  																									| Equations (310) can reduce 79 to:
% 44.95/14.81  																									| (311) $false
% 44.95/14.81  																									|
% 44.95/14.81  																									|-The branch is then unsatisfiable
% 44.95/14.81  																								|-Branch two:
% 44.95/14.81  																								| (1761)  ~ (all_0_94_94 = e2)
% 44.95/14.81  																								| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.95/14.81  																								|
% 44.95/14.81  																									+-Applying beta-rule and splitting (1762), into two cases.
% 44.95/14.81  																									|-Branch one:
% 44.95/14.81  																									| (767) all_0_95_95 = e2
% 44.95/14.81  																									|
% 44.95/14.81  																										| Equations (767) can reduce 125 to:
% 44.95/14.81  																										| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Equations (767) can reduce 200 to:
% 44.95/14.81  																										| (347)  ~ (all_0_82_82 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Equations (767) can reduce 107 to:
% 44.95/14.81  																										| (1348)  ~ (all_0_98_98 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Simplifying 1348 yields:
% 44.95/14.81  																										| (1349)  ~ (all_0_98_98 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Equations (767) can reduce 315 to:
% 44.95/14.81  																										| (528)  ~ (e4 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Simplifying 528 yields:
% 44.95/14.81  																										| (79)  ~ (e4 = e2)
% 44.95/14.81  																										|
% 44.95/14.81  																										| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_91_91 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = all_0_91_91, yields:
% 44.95/14.81  																										| (574) all_0_62_62 = all_0_91_91
% 44.95/14.81  																										|
% 44.95/14.81  																										| Instantiating formula (262) with e1, e0, all_0_67_67, all_0_93_93 and discharging atoms op(e1, e0) = all_0_67_67, op(e1, e0) = all_0_93_93, yields:
% 44.95/14.81  																										| (24645) all_0_67_67 = all_0_93_93
% 44.95/14.81  																										|
% 44.95/14.81  																										| Instantiating formula (262) with e0, e0, all_0_68_68, all_0_98_98 and discharging atoms op(e0, e0) = all_0_68_68, op(e0, e0) = all_0_98_98, yields:
% 44.95/14.81  																										| (24646) all_0_68_68 = all_0_98_98
% 44.95/14.81  																										|
% 44.95/14.81  																										+-Applying beta-rule and splitting (219), into two cases.
% 44.95/14.81  																										|-Branch one:
% 44.95/14.81  																										| (798) all_0_83_83 = e0
% 44.95/14.81  																										|
% 44.95/14.81  																											| Equations (798) can reduce 226 to:
% 44.95/14.81  																											| (799)  ~ (all_0_85_85 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| Simplifying 799 yields:
% 44.95/14.81  																											| (800)  ~ (all_0_85_85 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| Equations (798) can reduce 211 to:
% 44.95/14.81  																											| (2296)  ~ (all_0_96_96 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| Simplifying 2296 yields:
% 44.95/14.81  																											| (2095)  ~ (all_0_96_96 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| Equations (798) can reduce 398 to:
% 44.95/14.81  																											| (510)  ~ (e2 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| Simplifying 510 yields:
% 44.95/14.81  																											| (76)  ~ (e2 = e0)
% 44.95/14.81  																											|
% 44.95/14.81  																											| From (798) and (206) follows:
% 44.95/14.81  																											| (8092) op(e2, e0) = all_0_54_54
% 44.95/14.81  																											|
% 44.95/14.81  																											+-Applying beta-rule and splitting (289), into two cases.
% 44.95/14.81  																											|-Branch one:
% 44.95/14.81  																											| (954) all_0_85_85 = e0
% 44.95/14.81  																											|
% 44.95/14.81  																												| Equations (954) can reduce 800 to:
% 44.95/14.81  																												| (311) $false
% 44.95/14.81  																												|
% 44.95/14.81  																												|-The branch is then unsatisfiable
% 44.95/14.81  																											|-Branch two:
% 44.95/14.81  																											| (800)  ~ (all_0_85_85 = e0)
% 44.95/14.81  																											| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 44.95/14.81  																											|
% 44.95/14.81  																												+-Applying beta-rule and splitting (1077), into two cases.
% 44.95/14.81  																												|-Branch one:
% 44.95/14.81  																												| (507) all_0_88_88 = e0
% 44.95/14.81  																												|
% 44.95/14.81  																													| Combining equations (370,507) yields a new equation:
% 44.95/14.81  																													| (923) e2 = e0
% 44.95/14.81  																													|
% 44.95/14.81  																													| Simplifying 923 yields:
% 44.95/14.81  																													| (379) e2 = e0
% 44.95/14.81  																													|
% 44.95/14.81  																													| Equations (379) can reduce 76 to:
% 44.95/14.81  																													| (311) $false
% 44.95/14.81  																													|
% 44.95/14.81  																													|-The branch is then unsatisfiable
% 44.95/14.81  																												|-Branch two:
% 44.95/14.81  																												| (1110)  ~ (all_0_88_88 = e0)
% 44.95/14.81  																												| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 44.95/14.81  																												|
% 44.95/14.81  																													+-Applying beta-rule and splitting (1111), into two cases.
% 44.95/14.81  																													|-Branch one:
% 44.95/14.81  																													| (604) all_0_93_93 = e0
% 44.95/14.81  																													|
% 44.95/14.81  																														| Equations (604) can reduce 277 to:
% 44.95/14.81  																														| (257)  ~ (all_0_81_81 = e0)
% 44.95/14.81  																														|
% 44.95/14.81  																														| Equations (604) can reduce 44 to:
% 44.95/14.81  																														| (1487)  ~ (all_0_91_91 = e0)
% 44.95/14.81  																														|
% 44.95/14.81  																														| Equations (604) can reduce 13 to:
% 44.95/14.81  																														| (2058)  ~ (all_0_98_98 = e0)
% 44.95/14.81  																														|
% 44.95/14.81  																														| Simplifying 2058 yields:
% 44.95/14.81  																														| (2059)  ~ (all_0_98_98 = e0)
% 44.95/14.81  																														|
% 44.95/14.81  																														| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 44.95/14.81  																														| (8281) all_0_54_54 = e2
% 44.95/14.81  																														|
% 44.95/14.81  																														+-Applying beta-rule and splitting (56), into two cases.
% 44.95/14.81  																														|-Branch one:
% 44.95/14.81  																														| (463) all_0_78_78 = e4
% 44.95/14.81  																														|
% 44.95/14.81  																															| Equations (463) can reduce 193 to:
% 44.95/14.81  																															| (464)  ~ (all_0_82_82 = e4)
% 44.95/14.81  																															|
% 44.95/14.81  																															| Simplifying 464 yields:
% 44.95/14.81  																															| (465)  ~ (all_0_82_82 = e4)
% 44.95/14.81  																															|
% 44.95/14.81  																															| Equations (463) can reduce 346 to:
% 44.95/14.81  																															| (79)  ~ (e4 = e2)
% 44.95/14.81  																															|
% 44.95/14.81  																															+-Applying beta-rule and splitting (109), into two cases.
% 44.95/14.81  																															|-Branch one:
% 44.95/14.81  																															| (469) all_0_82_82 = e4
% 44.95/14.81  																															|
% 44.95/14.81  																																| Equations (469) can reduce 465 to:
% 44.95/14.81  																																| (311) $false
% 44.95/14.81  																																|
% 44.95/14.81  																																|-The branch is then unsatisfiable
% 44.95/14.81  																															|-Branch two:
% 44.95/14.81  																															| (465)  ~ (all_0_82_82 = e4)
% 44.95/14.81  																															| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.95/14.81  																															|
% 44.95/14.81  																																+-Applying beta-rule and splitting (129), into two cases.
% 44.95/14.81  																																|-Branch one:
% 44.95/14.81  																																| (676) all_0_78_78 = e1
% 44.95/14.81  																																|
% 44.95/14.81  																																	| Combining equations (463,676) yields a new equation:
% 44.95/14.81  																																	| (813) e4 = e1
% 44.95/14.81  																																	|
% 44.95/14.81  																																	| Simplifying 813 yields:
% 44.95/14.81  																																	| (814) e4 = e1
% 44.95/14.81  																																	|
% 44.95/14.81  																																	| Equations (814) can reduce 256 to:
% 44.95/14.81  																																	| (311) $false
% 44.95/14.81  																																	|
% 44.95/14.81  																																	|-The branch is then unsatisfiable
% 44.95/14.81  																																|-Branch two:
% 44.95/14.81  																																| (1601)  ~ (all_0_78_78 = e1)
% 44.95/14.81  																																| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 44.95/14.81  																																|
% 44.95/14.81  																																	+-Applying beta-rule and splitting (1602), into two cases.
% 44.95/14.81  																																	|-Branch one:
% 44.95/14.81  																																	| (457) all_0_79_79 = e1
% 44.95/14.81  																																	|
% 44.95/14.81  																																		| Combining equations (390,457) yields a new equation:
% 44.95/14.81  																																		| (408) e2 = e1
% 44.95/14.81  																																		|
% 44.95/14.81  																																		| Simplifying 408 yields:
% 44.95/14.81  																																		| (385) e2 = e1
% 44.95/14.81  																																		|
% 44.95/14.81  																																		| Equations (385) can reduce 243 to:
% 44.95/14.81  																																		| (311) $false
% 44.95/14.81  																																		|
% 44.95/14.81  																																		|-The branch is then unsatisfiable
% 44.95/14.81  																																	|-Branch two:
% 44.95/14.81  																																	| (461)  ~ (all_0_79_79 = e1)
% 44.95/14.81  																																	| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 44.95/14.81  																																	|
% 44.95/14.81  																																		+-Applying beta-rule and splitting (8180), into two cases.
% 44.95/14.81  																																		|-Branch one:
% 44.95/14.81  																																		| (824) all_0_80_80 = e1
% 44.95/14.81  																																		|
% 44.95/14.81  																																			| Combining equations (824,416) yields a new equation:
% 44.95/14.81  																																			| (772) e3 = e1
% 44.95/14.81  																																			|
% 44.95/14.81  																																			| Equations (772) can reduce 20 to:
% 44.95/14.81  																																			| (311) $false
% 44.95/14.81  																																			|
% 44.95/14.81  																																			|-The branch is then unsatisfiable
% 44.95/14.81  																																		|-Branch two:
% 44.95/14.81  																																		| (828)  ~ (all_0_80_80 = e1)
% 44.95/14.81  																																		| (477) all_0_81_81 = e1
% 44.95/14.81  																																		|
% 44.95/14.81  																																			| Equations (477) can reduce 118 to:
% 44.95/14.81  																																			| (24696)  ~ (all_0_85_85 = e1)
% 44.95/14.81  																																			|
% 44.95/14.82  																																			| Simplifying 24696 yields:
% 44.95/14.82  																																			| (128)  ~ (all_0_85_85 = e1)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			| Equations (477) can reduce 5 to:
% 44.95/14.82  																																			| (1803)  ~ (all_0_98_98 = e1)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			| Simplifying 1803 yields:
% 44.95/14.82  																																			| (1804)  ~ (all_0_98_98 = e1)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			| Equations (477) can reduce 396 to:
% 44.95/14.82  																																			| (487)  ~ (e2 = e1)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			| Simplifying 487 yields:
% 44.95/14.82  																																			| (243)  ~ (e2 = e1)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			| Equations (477) can reduce 257 to:
% 44.95/14.82  																																			| (264)  ~ (e1 = e0)
% 44.95/14.82  																																			|
% 44.95/14.82  																																			+-Applying beta-rule and splitting (48), into two cases.
% 44.95/14.82  																																			|-Branch one:
% 44.95/14.82  																																			| (525) all_0_98_98 = e2
% 44.95/14.82  																																			|
% 44.95/14.82  																																				| Equations (525) can reduce 1349 to:
% 44.95/14.82  																																				| (311) $false
% 44.95/14.82  																																				|
% 44.95/14.82  																																				|-The branch is then unsatisfiable
% 44.95/14.82  																																			|-Branch two:
% 44.95/14.82  																																			| (1349)  ~ (all_0_98_98 = e2)
% 44.95/14.82  																																			| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.95/14.82  																																			|
% 44.95/14.82  																																				+-Applying beta-rule and splitting (472), into two cases.
% 44.95/14.82  																																				|-Branch one:
% 44.95/14.82  																																				| (438) all_0_84_84 = e4
% 44.95/14.82  																																				|
% 44.95/14.82  																																					| Combining equations (438,552) yields a new equation:
% 44.95/14.82  																																					| (309) e4 = e2
% 44.95/14.82  																																					|
% 44.95/14.82  																																					| Simplifying 309 yields:
% 44.95/14.82  																																					| (310) e4 = e2
% 44.95/14.82  																																					|
% 44.95/14.82  																																					| Equations (310) can reduce 79 to:
% 44.95/14.82  																																					| (311) $false
% 44.95/14.82  																																					|
% 44.95/14.82  																																					|-The branch is then unsatisfiable
% 44.95/14.82  																																				|-Branch two:
% 44.95/14.82  																																				| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.82  																																				| (493) all_0_85_85 = e4
% 44.95/14.82  																																				|
% 44.95/14.82  																																					| Equations (493) can reduce 75 to:
% 44.95/14.82  																																					| (320)  ~ (all_0_98_98 = e4)
% 44.95/14.82  																																					|
% 44.95/14.82  																																					| Simplifying 320 yields:
% 44.95/14.82  																																					| (321)  ~ (all_0_98_98 = e4)
% 44.95/14.82  																																					|
% 44.95/14.82  																																					| Equations (493) can reduce 128 to:
% 44.95/14.82  																																					| (256)  ~ (e4 = e1)
% 44.95/14.82  																																					|
% 44.95/14.82  																																					+-Applying beta-rule and splitting (176), into two cases.
% 44.95/14.82  																																					|-Branch one:
% 44.95/14.82  																																					| (785) all_0_95_95 = e1
% 44.95/14.82  																																					|
% 44.95/14.82  																																						| Combining equations (767,785) yields a new equation:
% 44.95/14.82  																																						| (408) e2 = e1
% 44.95/14.82  																																						|
% 44.95/14.82  																																						| Simplifying 408 yields:
% 44.95/14.82  																																						| (385) e2 = e1
% 44.95/14.82  																																						|
% 44.95/14.82  																																						| Equations (385) can reduce 243 to:
% 44.95/14.82  																																						| (311) $false
% 44.95/14.82  																																						|
% 44.95/14.82  																																						|-The branch is then unsatisfiable
% 44.95/14.82  																																					|-Branch two:
% 44.95/14.82  																																					| (680)  ~ (all_0_95_95 = e1)
% 44.95/14.82  																																					| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 44.95/14.82  																																					|
% 44.95/14.82  																																						| Equations (767) can reduce 680 to:
% 44.95/14.82  																																						| (243)  ~ (e2 = e1)
% 44.95/14.82  																																						|
% 44.95/14.82  																																						+-Applying beta-rule and splitting (5118), into two cases.
% 44.95/14.82  																																						|-Branch one:
% 44.95/14.82  																																						| (1543) all_0_98_98 = e1
% 44.95/14.82  																																						|
% 44.95/14.82  																																							| Equations (1543) can reduce 1804 to:
% 44.95/14.82  																																							| (311) $false
% 44.95/14.82  																																							|
% 44.95/14.82  																																							|-The branch is then unsatisfiable
% 44.95/14.82  																																						|-Branch two:
% 44.95/14.82  																																						| (1804)  ~ (all_0_98_98 = e1)
% 44.95/14.82  																																						| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.95/14.82  																																						|
% 44.95/14.82  																																							+-Applying beta-rule and splitting (188), into two cases.
% 44.95/14.82  																																							|-Branch one:
% 44.95/14.82  																																							| (676) all_0_78_78 = e1
% 44.95/14.82  																																							|
% 44.95/14.82  																																								| Combining equations (463,676) yields a new equation:
% 44.95/14.82  																																								| (813) e4 = e1
% 44.95/14.82  																																								|
% 44.95/14.82  																																								| Simplifying 813 yields:
% 44.95/14.82  																																								| (814) e4 = e1
% 44.95/14.82  																																								|
% 44.95/14.82  																																								| Equations (814) can reduce 256 to:
% 44.95/14.82  																																								| (311) $false
% 44.95/14.82  																																								|
% 44.95/14.82  																																								|-The branch is then unsatisfiable
% 44.95/14.82  																																							|-Branch two:
% 44.95/14.82  																																							| (1601)  ~ (all_0_78_78 = e1)
% 44.95/14.82  																																							| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 44.95/14.82  																																							|
% 44.95/14.82  																																								+-Applying beta-rule and splitting (1718), into two cases.
% 44.95/14.82  																																								|-Branch one:
% 44.95/14.82  																																								| (384) all_0_86_86 = e1
% 44.95/14.82  																																								|
% 44.95/14.82  																																									| Combining equations (378,384) yields a new equation:
% 44.95/14.82  																																									| (865) e1 = e0
% 44.95/14.82  																																									|
% 44.95/14.82  																																									| Equations (865) can reduce 264 to:
% 44.95/14.82  																																									| (311) $false
% 44.95/14.82  																																									|
% 44.95/14.82  																																									|-The branch is then unsatisfiable
% 44.95/14.82  																																								|-Branch two:
% 44.95/14.82  																																								| (387)  ~ (all_0_86_86 = e1)
% 44.95/14.82  																																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 44.95/14.82  																																								|
% 44.95/14.82  																																									+-Applying beta-rule and splitting (2122), into two cases.
% 44.95/14.82  																																									|-Branch one:
% 44.95/14.82  																																									| (750) all_0_90_90 = e1
% 44.95/14.82  																																									|
% 44.95/14.82  																																										| Equations (750) can reduce 103 to:
% 44.95/14.82  																																										| (1669)  ~ (all_0_91_91 = e1)
% 44.95/14.82  																																										|
% 44.95/14.82  																																										| Simplifying 1669 yields:
% 44.95/14.82  																																										| (959)  ~ (all_0_91_91 = e1)
% 44.95/14.82  																																										|
% 44.95/14.82  																																										+-Applying beta-rule and splitting (284), into two cases.
% 44.95/14.82  																																										|-Branch one:
% 44.95/14.82  																																										| (1723) all_0_91_91 = e2
% 44.95/14.82  																																										|
% 44.95/14.82  																																											| Equations (1723) can reduce 296 to:
% 44.95/14.82  																																											| (311) $false
% 44.95/14.82  																																											|
% 44.95/14.82  																																											|-The branch is then unsatisfiable
% 44.95/14.82  																																										|-Branch two:
% 44.95/14.82  																																										| (296)  ~ (all_0_91_91 = e2)
% 44.95/14.82  																																										| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 44.95/14.82  																																										|
% 44.95/14.82  																																											+-Applying beta-rule and splitting (1726), into two cases.
% 44.95/14.82  																																											|-Branch one:
% 44.95/14.82  																																											| (801) all_0_91_91 = e1
% 44.95/14.82  																																											|
% 44.95/14.82  																																												| Equations (801) can reduce 959 to:
% 44.95/14.82  																																												| (311) $false
% 44.95/14.82  																																												|
% 44.95/14.82  																																												|-The branch is then unsatisfiable
% 44.95/14.82  																																											|-Branch two:
% 44.95/14.82  																																											| (959)  ~ (all_0_91_91 = e1)
% 44.95/14.82  																																											| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 44.95/14.82  																																											|
% 44.95/14.82  																																												+-Applying beta-rule and splitting (1880), into two cases.
% 44.95/14.82  																																												|-Branch one:
% 44.95/14.82  																																												| (588) all_0_91_91 = e3
% 44.95/14.82  																																												|
% 44.95/14.82  																																													| Equations (588) can reduce 959 to:
% 44.95/14.82  																																													| (20)  ~ (e3 = e1)
% 44.95/14.82  																																													|
% 44.95/14.82  																																													| From (588) and (222) follows:
% 44.95/14.82  																																													| (8109) op(e2, e3) = all_0_56_56
% 44.95/14.82  																																													|
% 44.95/14.82  																																													+-Applying beta-rule and splitting (462), into two cases.
% 44.95/14.82  																																													|-Branch one:
% 44.95/14.82  																																													| (801) all_0_91_91 = e1
% 44.95/14.82  																																													|
% 44.95/14.82  																																														| Combining equations (588,801) yields a new equation:
% 44.95/14.82  																																														| (825) e3 = e1
% 44.95/14.82  																																														|
% 44.95/14.82  																																														| Simplifying 825 yields:
% 44.95/14.82  																																														| (772) e3 = e1
% 44.95/14.82  																																														|
% 44.95/14.82  																																														| Equations (772) can reduce 20 to:
% 44.95/14.82  																																														| (311) $false
% 44.95/14.82  																																														|
% 44.95/14.82  																																														|-The branch is then unsatisfiable
% 44.95/14.82  																																													|-Branch two:
% 44.95/14.82  																																													| (959)  ~ (all_0_91_91 = e1)
% 44.95/14.82  																																													| (960) all_0_96_96 = e1
% 44.95/14.82  																																													|
% 44.95/14.82  																																														| Equations (960) can reduce 2095 to:
% 44.95/14.82  																																														| (264)  ~ (e1 = e0)
% 44.95/14.82  																																														|
% 44.95/14.82  																																														| From (960) and (212) follows:
% 44.95/14.82  																																														| (15809) op(e2, e1) = all_0_58_58
% 44.95/14.82  																																														|
% 44.95/14.82  																																														+-Applying beta-rule and splitting (5122), into two cases.
% 44.95/14.82  																																														|-Branch one:
% 44.95/14.82  																																														| (969) all_0_98_98 = e3
% 44.95/14.82  																																														|
% 44.95/14.82  																																															| Equations (969) can reduce 1349 to:
% 44.95/14.82  																																															| (169)  ~ (e3 = e2)
% 44.95/14.82  																																															|
% 44.95/14.82  																																															| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 44.95/14.82  																																															| (10959) all_0_56_56 = e0
% 44.95/14.82  																																															|
% 44.95/14.82  																																															| Instantiating formula (262) with e2, e1, all_0_58_58, e1 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e1, yields:
% 44.95/14.82  																																															| (10941) all_0_58_58 = e1
% 44.95/14.82  																																															|
% 44.95/14.82  																																															+-Applying beta-rule and splitting (33), into two cases.
% 44.95/14.82  																																															|-Branch one:
% 44.95/14.82  																																															| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 44.95/14.82  																																															|
% 44.95/14.82  																																																+-Applying beta-rule and splitting (1686), into two cases.
% 44.95/14.82  																																																|-Branch one:
% 44.95/14.82  																																																| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 44.95/14.82  																																																|
% 44.95/14.82  																																																	+-Applying beta-rule and splitting (1687), into two cases.
% 44.95/14.82  																																																	|-Branch one:
% 44.95/14.82  																																																	| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 44.95/14.82  																																																	|
% 44.95/14.82  																																																		| Applying alpha-rule on (1688) yields:
% 44.95/14.82  																																																		| (1689) all_0_52_52 = e4
% 44.95/14.82  																																																		| (1690)  ~ (all_0_53_53 = e2)
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		| Equations (24571) can reduce 1690 to:
% 44.95/14.82  																																																		| (311) $false
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		|-The branch is then unsatisfiable
% 44.95/14.82  																																																	|-Branch two:
% 44.95/14.82  																																																	| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 44.95/14.82  																																																	|
% 44.95/14.82  																																																		| Applying alpha-rule on (1694) yields:
% 44.95/14.82  																																																		| (1695) all_0_54_54 = e3
% 44.95/14.82  																																																		| (1696)  ~ (all_0_55_55 = e2)
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		| Combining equations (1695,8281) yields a new equation:
% 44.95/14.82  																																																		| (547) e3 = e2
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		| Simplifying 547 yields:
% 44.95/14.82  																																																		| (548) e3 = e2
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		| Equations (548) can reduce 169 to:
% 44.95/14.82  																																																		| (311) $false
% 44.95/14.82  																																																		|
% 44.95/14.82  																																																		|-The branch is then unsatisfiable
% 44.95/14.82  																																																|-Branch two:
% 44.95/14.82  																																																| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 44.95/14.82  																																																|
% 44.95/14.82  																																																	| Applying alpha-rule on (1700) yields:
% 44.95/14.82  																																																	| (1701) all_0_56_56 = e1
% 44.95/14.82  																																																	| (1702)  ~ (all_0_57_57 = e2)
% 44.95/14.82  																																																	|
% 44.95/14.82  																																																	| Combining equations (10959,1701) yields a new equation:
% 44.95/14.82  																																																	| (865) e1 = e0
% 44.95/14.82  																																																	|
% 44.95/14.82  																																																	| Equations (865) can reduce 264 to:
% 44.95/14.82  																																																	| (311) $false
% 44.95/14.82  																																																	|
% 44.95/14.82  																																																	|-The branch is then unsatisfiable
% 44.95/14.82  																																															|-Branch two:
% 44.95/14.82  																																															| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 44.95/14.82  																																															|
% 44.95/14.82  																																																| Applying alpha-rule on (4957) yields:
% 44.95/14.82  																																																| (4958) all_0_58_58 = e0
% 44.95/14.82  																																																| (4959)  ~ (all_0_59_59 = e2)
% 44.95/14.82  																																																|
% 44.95/14.82  																																																| Combining equations (10941,4958) yields a new equation:
% 44.95/14.82  																																																| (1107) e1 = e0
% 44.95/14.82  																																																|
% 44.95/14.82  																																																| Simplifying 1107 yields:
% 44.95/14.82  																																																| (865) e1 = e0
% 44.95/14.82  																																																|
% 44.95/14.82  																																																| Equations (865) can reduce 264 to:
% 44.95/14.82  																																																| (311) $false
% 44.95/14.82  																																																|
% 44.95/14.82  																																																|-The branch is then unsatisfiable
% 44.95/14.82  																																														|-Branch two:
% 44.95/14.82  																																														| (1519)  ~ (all_0_98_98 = e3)
% 44.95/14.82  																																														| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 44.95/14.82  																																														|
% 44.95/14.82  																																															+-Applying beta-rule and splitting (5284), into two cases.
% 44.95/14.82  																																															|-Branch one:
% 44.95/14.82  																																															| (1121) all_0_98_98 = e0
% 44.95/14.82  																																															|
% 44.95/14.82  																																																| Equations (1121) can reduce 2059 to:
% 44.95/14.82  																																																| (311) $false
% 44.95/14.82  																																																|
% 44.95/14.82  																																																|-The branch is then unsatisfiable
% 44.95/14.82  																																															|-Branch two:
% 44.95/14.82  																																															| (2059)  ~ (all_0_98_98 = e0)
% 44.95/14.83  																																															| (2650) all_0_98_98 = e4
% 44.95/14.83  																																															|
% 44.95/14.83  																																																| Equations (2650) can reduce 321 to:
% 44.95/14.83  																																																| (311) $false
% 44.95/14.83  																																																|
% 44.95/14.83  																																																|-The branch is then unsatisfiable
% 44.95/14.83  																																												|-Branch two:
% 44.95/14.83  																																												| (571)  ~ (all_0_91_91 = e3)
% 44.95/14.83  																																												| (1456) all_0_91_91 = e0
% 44.95/14.83  																																												|
% 44.95/14.83  																																													| Equations (1456) can reduce 1487 to:
% 44.95/14.83  																																													| (311) $false
% 44.95/14.83  																																													|
% 44.95/14.83  																																													|-The branch is then unsatisfiable
% 44.95/14.83  																																									|-Branch two:
% 44.95/14.83  																																									| (678)  ~ (all_0_90_90 = e1)
% 44.95/14.83  																																									| (785) all_0_95_95 = e1
% 44.95/14.83  																																									|
% 44.95/14.83  																																										| Combining equations (767,785) yields a new equation:
% 44.95/14.83  																																										| (408) e2 = e1
% 44.95/14.83  																																										|
% 44.95/14.83  																																										| Simplifying 408 yields:
% 44.95/14.83  																																										| (385) e2 = e1
% 44.95/14.83  																																										|
% 44.95/14.83  																																										| Equations (385) can reduce 243 to:
% 44.95/14.83  																																										| (311) $false
% 44.95/14.83  																																										|
% 44.95/14.83  																																										|-The branch is then unsatisfiable
% 44.95/14.83  																														|-Branch two:
% 44.95/14.83  																														| (640)  ~ (all_0_78_78 = e4)
% 44.95/14.83  																														| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 44.95/14.83  																														|
% 44.95/14.83  																															+-Applying beta-rule and splitting (24), into two cases.
% 44.95/14.83  																															|-Branch one:
% 44.95/14.83  																															| (400) all_0_78_78 = e2
% 44.95/14.83  																															|
% 44.95/14.83  																																| Equations (400) can reduce 346 to:
% 44.95/14.83  																																| (311) $false
% 44.95/14.83  																																|
% 44.95/14.83  																																|-The branch is then unsatisfiable
% 44.95/14.83  																															|-Branch two:
% 44.95/14.83  																															| (346)  ~ (all_0_78_78 = e2)
% 44.95/14.83  																															| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 44.95/14.83  																															|
% 44.95/14.83  																																+-Applying beta-rule and splitting (4), into two cases.
% 44.95/14.83  																																|-Branch one:
% 44.95/14.83  																																| (463) all_0_78_78 = e4
% 44.95/14.83  																																|
% 44.95/14.83  																																	| Equations (463) can reduce 640 to:
% 44.95/14.83  																																	| (311) $false
% 44.95/14.83  																																	|
% 44.95/14.83  																																	|-The branch is then unsatisfiable
% 44.95/14.83  																																|-Branch two:
% 44.95/14.83  																																| (640)  ~ (all_0_78_78 = e4)
% 44.95/14.83  																																| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 44.95/14.83  																																|
% 44.95/14.83  																																	+-Applying beta-rule and splitting (641), into two cases.
% 44.95/14.83  																																	|-Branch one:
% 44.95/14.83  																																	| (433) all_0_80_80 = e4
% 44.95/14.83  																																	|
% 44.95/14.83  																																		| Combining equations (416,433) yields a new equation:
% 44.95/14.83  																																		| (434) e4 = e3
% 44.95/14.83  																																		|
% 44.95/14.83  																																		| Equations (434) can reduce 177 to:
% 44.95/14.83  																																		| (311) $false
% 44.95/14.83  																																		|
% 44.95/14.83  																																		|-The branch is then unsatisfiable
% 44.95/14.83  																																	|-Branch two:
% 44.95/14.83  																																	| (436)  ~ (all_0_80_80 = e4)
% 44.95/14.83  																																	| (638) all_0_81_81 = e4
% 44.95/14.83  																																	|
% 44.95/14.83  																																		| Equations (638) can reduce 5 to:
% 44.95/14.83  																																		| (320)  ~ (all_0_98_98 = e4)
% 44.95/14.83  																																		|
% 44.95/14.83  																																		| Simplifying 320 yields:
% 44.95/14.83  																																		| (321)  ~ (all_0_98_98 = e4)
% 44.95/14.83  																																		|
% 44.95/14.83  																																		| Equations (638) can reduce 420 to:
% 44.95/14.83  																																		| (177)  ~ (e4 = e3)
% 44.95/14.83  																																		|
% 44.95/14.83  																																		| Equations (638) can reduce 396 to:
% 44.95/14.83  																																		| (79)  ~ (e4 = e2)
% 44.95/14.83  																																		|
% 44.95/14.83  																																		+-Applying beta-rule and splitting (109), into two cases.
% 44.95/14.83  																																		|-Branch one:
% 44.95/14.83  																																		| (469) all_0_82_82 = e4
% 44.95/14.83  																																		|
% 44.95/14.83  																																			| Equations (469) can reduce 193 to:
% 44.95/14.83  																																			| (640)  ~ (all_0_78_78 = e4)
% 44.95/14.83  																																			|
% 44.95/14.83  																																			| Equations (469) can reduce 255 to:
% 44.95/14.83  																																			| (466)  ~ (all_0_90_90 = e4)
% 44.95/14.83  																																			|
% 44.95/14.83  																																			| Simplifying 466 yields:
% 44.95/14.83  																																			| (467)  ~ (all_0_90_90 = e4)
% 44.95/14.83  																																			|
% 44.95/14.83  																																			| Equations (469) can reduce 347 to:
% 44.95/14.83  																																			| (79)  ~ (e4 = e2)
% 44.95/14.83  																																			|
% 44.95/14.83  																																			+-Applying beta-rule and splitting (171), into two cases.
% 44.95/14.83  																																			|-Branch one:
% 44.95/14.83  																																			| (789) all_0_82_82 = e3
% 44.95/14.83  																																			|
% 44.95/14.83  																																				| Combining equations (469,789) yields a new equation:
% 44.95/14.83  																																				| (790) e4 = e3
% 44.95/14.83  																																				|
% 44.95/14.83  																																				| Simplifying 790 yields:
% 44.95/14.83  																																				| (434) e4 = e3
% 44.95/14.83  																																				|
% 44.95/14.83  																																				| Equations (434) can reduce 177 to:
% 44.95/14.83  																																				| (311) $false
% 44.95/14.83  																																				|
% 44.95/14.83  																																				|-The branch is then unsatisfiable
% 44.95/14.83  																																			|-Branch two:
% 44.95/14.83  																																			| (793)  ~ (all_0_82_82 = e3)
% 44.95/14.83  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 44.95/14.83  																																			|
% 44.95/14.83  																																				+-Applying beta-rule and splitting (1296), into two cases.
% 44.95/14.83  																																				|-Branch one:
% 44.95/14.83  																																				| (795) all_0_83_83 = e3
% 44.95/14.83  																																				|
% 44.95/14.83  																																					| Combining equations (798,795) yields a new equation:
% 44.95/14.83  																																					| (600) e3 = e0
% 44.95/14.83  																																					|
% 44.95/14.83  																																					| Equations (600) can reduce 50 to:
% 44.95/14.83  																																					| (311) $false
% 44.95/14.83  																																					|
% 44.95/14.83  																																					|-The branch is then unsatisfiable
% 44.95/14.83  																																				|-Branch two:
% 44.95/14.83  																																				| (779)  ~ (all_0_83_83 = e3)
% 44.95/14.83  																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 44.95/14.83  																																				|
% 44.95/14.83  																																					+-Applying beta-rule and splitting (1594), into two cases.
% 44.95/14.83  																																					|-Branch one:
% 44.95/14.83  																																					| (1265) all_0_84_84 = e3
% 44.95/14.83  																																					|
% 44.95/14.83  																																						| Combining equations (1265,552) yields a new equation:
% 44.95/14.83  																																						| (547) e3 = e2
% 44.95/14.83  																																						|
% 44.95/14.83  																																						| Simplifying 547 yields:
% 44.95/14.83  																																						| (548) e3 = e2
% 44.95/14.83  																																						|
% 44.95/14.83  																																						| Equations (548) can reduce 169 to:
% 44.95/14.83  																																						| (311) $false
% 44.95/14.83  																																						|
% 44.95/14.83  																																						|-The branch is then unsatisfiable
% 44.95/14.83  																																					|-Branch two:
% 44.95/14.83  																																					| (422)  ~ (all_0_84_84 = e3)
% 44.95/14.83  																																					| (804) all_0_85_85 = e3
% 44.95/14.83  																																					|
% 44.95/14.83  																																						| Equations (804) can reduce 75 to:
% 44.95/14.83  																																						| (1518)  ~ (all_0_98_98 = e3)
% 44.95/14.83  																																						|
% 44.95/14.83  																																						| Simplifying 1518 yields:
% 44.95/14.83  																																						| (1519)  ~ (all_0_98_98 = e3)
% 44.95/14.83  																																						|
% 44.95/14.83  																																						+-Applying beta-rule and splitting (48), into two cases.
% 44.95/14.83  																																						|-Branch one:
% 44.95/14.83  																																						| (525) all_0_98_98 = e2
% 44.95/14.83  																																						|
% 44.95/14.83  																																							| Equations (525) can reduce 1349 to:
% 44.95/14.83  																																							| (311) $false
% 44.95/14.83  																																							|
% 44.95/14.83  																																							|-The branch is then unsatisfiable
% 44.95/14.83  																																						|-Branch two:
% 44.95/14.83  																																						| (1349)  ~ (all_0_98_98 = e2)
% 44.95/14.83  																																						| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 44.95/14.83  																																						|
% 44.95/14.83  																																							+-Applying beta-rule and splitting (5118), into two cases.
% 44.95/14.83  																																							|-Branch one:
% 44.95/14.83  																																							| (1543) all_0_98_98 = e1
% 44.95/14.83  																																							|
% 44.95/14.83  																																								| Combining equations (1543,24646) yields a new equation:
% 44.95/14.83  																																								| (1419) all_0_68_68 = e1
% 44.95/14.83  																																								|
% 44.95/14.83  																																								| Equations (1543) can reduce 43 to:
% 44.95/14.83  																																								| (1479)  ~ (all_0_96_96 = e1)
% 44.95/14.83  																																								|
% 44.95/14.83  																																								+-Applying beta-rule and splitting (129), into two cases.
% 44.95/14.83  																																								|-Branch one:
% 44.95/14.83  																																								| (676) all_0_78_78 = e1
% 44.95/14.83  																																								|
% 44.95/14.83  																																									| Equations (676) can reduce 418 to:
% 44.95/14.83  																																									| (683)  ~ (e3 = e1)
% 44.95/14.83  																																									|
% 44.95/14.83  																																									| Simplifying 683 yields:
% 44.95/14.83  																																									| (20)  ~ (e3 = e1)
% 44.95/14.83  																																									|
% 44.95/14.83  																																									+-Applying beta-rule and splitting (276), into two cases.
% 44.95/14.83  																																									|-Branch one:
% 44.95/14.83  																																									| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.95/14.83  																																									|
% 44.95/14.83  																																										+-Applying beta-rule and splitting (577), into two cases.
% 44.95/14.83  																																										|-Branch one:
% 44.95/14.83  																																										| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.95/14.83  																																										|
% 44.95/14.83  																																											+-Applying beta-rule and splitting (578), into two cases.
% 44.95/14.83  																																											|-Branch one:
% 44.95/14.83  																																											| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.95/14.83  																																											|
% 44.95/14.83  																																												| Applying alpha-rule on (579) yields:
% 44.95/14.83  																																												| (580) all_0_60_60 = e4
% 44.95/14.83  																																												| (581)  ~ (all_0_61_61 = e1)
% 44.95/14.83  																																												|
% 44.95/14.83  																																												| Combining equations (580,451) yields a new equation:
% 44.95/14.83  																																												| (583) all_0_90_90 = e4
% 44.95/14.83  																																												|
% 44.95/14.83  																																												| Equations (583) can reduce 467 to:
% 44.95/14.83  																																												| (311) $false
% 44.95/14.83  																																												|
% 44.95/14.83  																																												|-The branch is then unsatisfiable
% 44.95/14.83  																																											|-Branch two:
% 44.95/14.83  																																											| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.95/14.83  																																											|
% 44.95/14.83  																																												| Applying alpha-rule on (585) yields:
% 44.95/14.83  																																												| (586) all_0_62_62 = e3
% 44.95/14.83  																																												| (587)  ~ (all_0_63_63 = e1)
% 44.95/14.83  																																												|
% 44.95/14.83  																																												| Combining equations (574,586) yields a new equation:
% 44.95/14.83  																																												| (24865) all_0_91_91 = e3
% 44.95/14.83  																																												|
% 44.95/14.83  																																												| Simplifying 24865 yields:
% 44.95/14.83  																																												| (588) all_0_91_91 = e3
% 44.95/14.83  																																												|
% 44.95/14.83  																																												+-Applying beta-rule and splitting (220), into two cases.
% 44.95/14.83  																																												|-Branch one:
% 44.95/14.83  																																												| (771) all_0_78_78 = e3
% 44.95/14.83  																																												|
% 44.95/14.83  																																													| Combining equations (676,771) yields a new equation:
% 44.95/14.83  																																													| (772) e3 = e1
% 44.95/14.83  																																													|
% 44.95/14.83  																																													| Equations (772) can reduce 20 to:
% 44.95/14.83  																																													| (311) $false
% 44.95/14.83  																																													|
% 44.95/14.83  																																													|-The branch is then unsatisfiable
% 44.95/14.83  																																												|-Branch two:
% 44.95/14.83  																																												| (418)  ~ (all_0_78_78 = e3)
% 44.95/14.83  																																												| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 44.95/14.83  																																												|
% 44.95/14.83  																																													| Equations (676) can reduce 418 to:
% 44.95/14.83  																																													| (683)  ~ (e3 = e1)
% 44.95/14.83  																																													|
% 44.95/14.83  																																													| Simplifying 683 yields:
% 44.95/14.83  																																													| (20)  ~ (e3 = e1)
% 44.95/14.83  																																													|
% 44.95/14.83  																																													+-Applying beta-rule and splitting (462), into two cases.
% 44.95/14.83  																																													|-Branch one:
% 44.95/14.83  																																													| (801) all_0_91_91 = e1
% 44.95/14.83  																																													|
% 44.95/14.83  																																														| Combining equations (801,588) yields a new equation:
% 44.95/14.83  																																														| (772) e3 = e1
% 44.95/14.83  																																														|
% 44.95/14.83  																																														| Equations (772) can reduce 20 to:
% 44.95/14.83  																																														| (311) $false
% 44.95/14.83  																																														|
% 44.95/14.83  																																														|-The branch is then unsatisfiable
% 44.95/14.83  																																													|-Branch two:
% 44.95/14.83  																																													| (959)  ~ (all_0_91_91 = e1)
% 44.95/14.83  																																													| (960) all_0_96_96 = e1
% 44.95/14.83  																																													|
% 44.95/14.83  																																														| Equations (960) can reduce 1479 to:
% 44.95/14.83  																																														| (311) $false
% 44.95/14.83  																																														|
% 44.95/14.83  																																														|-The branch is then unsatisfiable
% 44.95/14.83  																																										|-Branch two:
% 44.95/14.83  																																										| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.95/14.83  																																										|
% 44.95/14.83  																																											| Applying alpha-rule on (590) yields:
% 44.95/14.83  																																											| (591) all_0_64_64 = e2
% 44.95/14.83  																																											| (592)  ~ (all_0_65_65 = e1)
% 44.95/14.83  																																											|
% 44.95/14.83  																																											| Combining equations (575,591) yields a new equation:
% 44.95/14.83  																																											| (309) e4 = e2
% 44.95/14.83  																																											|
% 44.95/14.83  																																											| Simplifying 309 yields:
% 44.95/14.83  																																											| (310) e4 = e2
% 44.95/14.83  																																											|
% 44.95/14.83  																																											| Equations (310) can reduce 79 to:
% 44.95/14.83  																																											| (311) $false
% 44.95/14.83  																																											|
% 44.95/14.83  																																											|-The branch is then unsatisfiable
% 44.95/14.83  																																									|-Branch two:
% 44.95/14.83  																																									| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.95/14.83  																																									|
% 44.95/14.83  																																										| Applying alpha-rule on (596) yields:
% 44.95/14.83  																																										| (597) all_0_67_67 = e0
% 44.95/14.83  																																										| (598)  ~ (all_0_68_68 = e1)
% 44.95/14.83  																																										|
% 44.95/14.83  																																										| Equations (1419) can reduce 598 to:
% 44.95/14.83  																																										| (311) $false
% 44.95/14.83  																																										|
% 44.95/14.83  																																										|-The branch is then unsatisfiable
% 44.95/14.83  																																								|-Branch two:
% 44.95/14.83  																																								| (1601)  ~ (all_0_78_78 = e1)
% 44.95/14.83  																																								| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 44.95/14.83  																																								|
% 44.95/14.83  																																									+-Applying beta-rule and splitting (675), into two cases.
% 44.95/14.83  																																									|-Branch one:
% 44.95/14.83  																																									| (676) all_0_78_78 = e1
% 44.95/14.83  																																									|
% 44.95/14.83  																																										| Equations (676) can reduce 1601 to:
% 44.95/14.83  																																										| (311) $false
% 44.95/14.83  																																										|
% 44.95/14.83  																																										|-The branch is then unsatisfiable
% 44.95/14.83  																																									|-Branch two:
% 44.95/14.83  																																									| (1601)  ~ (all_0_78_78 = e1)
% 44.95/14.83  																																									| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 44.95/14.83  																																									|
% 44.95/14.83  																																										+-Applying beta-rule and splitting (1606), into two cases.
% 44.95/14.83  																																										|-Branch one:
% 44.95/14.83  																																										| (771) all_0_78_78 = e3
% 44.95/14.83  																																										|
% 44.95/14.83  																																											| Equations (771) can reduce 418 to:
% 44.95/14.83  																																											| (311) $false
% 44.95/14.83  																																											|
% 44.95/14.83  																																											|-The branch is then unsatisfiable
% 44.95/14.83  																																										|-Branch two:
% 44.95/14.83  																																										| (418)  ~ (all_0_78_78 = e3)
% 44.95/14.83  																																										| (463) all_0_78_78 = e4
% 44.95/14.83  																																										|
% 44.95/14.83  																																											| Equations (463) can reduce 640 to:
% 44.95/14.83  																																											| (311) $false
% 44.95/14.83  																																											|
% 44.95/14.83  																																											|-The branch is then unsatisfiable
% 44.95/14.83  																																							|-Branch two:
% 44.95/14.83  																																							| (1804)  ~ (all_0_98_98 = e1)
% 44.95/14.83  																																							| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 44.95/14.83  																																							|
% 44.95/14.83  																																								+-Applying beta-rule and splitting (5122), into two cases.
% 44.95/14.83  																																								|-Branch one:
% 44.95/14.83  																																								| (969) all_0_98_98 = e3
% 44.95/14.83  																																								|
% 44.95/14.83  																																									| Equations (969) can reduce 1519 to:
% 44.95/14.83  																																									| (311) $false
% 44.95/14.83  																																									|
% 44.95/14.83  																																									|-The branch is then unsatisfiable
% 44.95/14.83  																																								|-Branch two:
% 44.95/14.83  																																								| (1519)  ~ (all_0_98_98 = e3)
% 44.95/14.83  																																								| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 44.95/14.83  																																								|
% 44.95/14.83  																																									+-Applying beta-rule and splitting (5284), into two cases.
% 44.95/14.83  																																									|-Branch one:
% 44.95/14.83  																																									| (1121) all_0_98_98 = e0
% 44.95/14.83  																																									|
% 44.95/14.83  																																										| Equations (1121) can reduce 2059 to:
% 44.95/14.83  																																										| (311) $false
% 44.95/14.83  																																										|
% 44.95/14.83  																																										|-The branch is then unsatisfiable
% 44.95/14.83  																																									|-Branch two:
% 44.95/14.83  																																									| (2059)  ~ (all_0_98_98 = e0)
% 44.95/14.83  																																									| (2650) all_0_98_98 = e4
% 44.95/14.83  																																									|
% 44.95/14.83  																																										| Equations (2650) can reduce 321 to:
% 44.95/14.83  																																										| (311) $false
% 44.95/14.83  																																										|
% 44.95/14.83  																																										|-The branch is then unsatisfiable
% 44.95/14.84  																																		|-Branch two:
% 44.95/14.84  																																		| (465)  ~ (all_0_82_82 = e4)
% 44.95/14.84  																																		| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.95/14.84  																																		|
% 44.95/14.84  																																			+-Applying beta-rule and splitting (3625), into two cases.
% 44.95/14.84  																																			|-Branch one:
% 44.95/14.84  																																			| (469) all_0_82_82 = e4
% 44.95/14.84  																																			|
% 44.95/14.84  																																				| Equations (469) can reduce 465 to:
% 44.95/14.84  																																				| (311) $false
% 44.95/14.84  																																				|
% 44.95/14.84  																																				|-The branch is then unsatisfiable
% 44.95/14.84  																																			|-Branch two:
% 44.95/14.84  																																			| (465)  ~ (all_0_82_82 = e4)
% 44.95/14.84  																																			| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 44.95/14.84  																																			|
% 44.95/14.84  																																				+-Applying beta-rule and splitting (3629), into two cases.
% 44.95/14.84  																																				|-Branch one:
% 44.95/14.84  																																				| (583) all_0_90_90 = e4
% 44.95/14.84  																																				|
% 44.95/14.84  																																					| Equations (583) can reduce 467 to:
% 44.95/14.84  																																					| (311) $false
% 44.95/14.84  																																					|
% 44.95/14.84  																																					|-The branch is then unsatisfiable
% 44.95/14.84  																																				|-Branch two:
% 44.95/14.84  																																				| (467)  ~ (all_0_90_90 = e4)
% 44.95/14.84  																																				| (894) all_0_95_95 = e4
% 44.95/14.84  																																				|
% 44.95/14.84  																																					| Combining equations (894,767) yields a new equation:
% 44.95/14.84  																																					| (309) e4 = e2
% 44.95/14.84  																																					|
% 44.95/14.84  																																					| Simplifying 309 yields:
% 44.95/14.84  																																					| (310) e4 = e2
% 44.95/14.84  																																					|
% 44.95/14.84  																																					| Equations (310) can reduce 79 to:
% 44.95/14.84  																																					| (311) $false
% 44.95/14.84  																																					|
% 44.95/14.84  																																					|-The branch is then unsatisfiable
% 44.95/14.84  																													|-Branch two:
% 44.95/14.84  																													| (509)  ~ (all_0_93_93 = e0)
% 44.95/14.84  																													| (1121) all_0_98_98 = e0
% 44.95/14.84  																													|
% 44.95/14.84  																														| Equations (1121) can reduce 2059 to:
% 44.95/14.84  																														| (311) $false
% 44.95/14.84  																														|
% 44.95/14.84  																														|-The branch is then unsatisfiable
% 44.95/14.84  																										|-Branch two:
% 44.95/14.84  																										| (1314)  ~ (all_0_83_83 = e0)
% 44.95/14.84  																										| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 44.95/14.84  																										|
% 44.95/14.84  																											+-Applying beta-rule and splitting (1400), into two cases.
% 44.95/14.84  																											|-Branch one:
% 44.95/14.84  																											| (1456) all_0_91_91 = e0
% 44.95/14.84  																											|
% 44.95/14.84  																												| Combining equations (1456,574) yields a new equation:
% 44.95/14.84  																												| (8348) all_0_62_62 = e0
% 44.95/14.84  																												|
% 44.95/14.84  																												| Equations (1456) can reduce 44 to:
% 44.95/14.84  																												| (508)  ~ (all_0_93_93 = e0)
% 44.95/14.84  																												|
% 44.95/14.84  																												| Simplifying 508 yields:
% 44.95/14.84  																												| (509)  ~ (all_0_93_93 = e0)
% 44.95/14.84  																												|
% 44.95/14.84  																												+-Applying beta-rule and splitting (276), into two cases.
% 44.95/14.84  																												|-Branch one:
% 44.95/14.84  																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 44.95/14.84  																												|
% 44.95/14.84  																													+-Applying beta-rule and splitting (577), into two cases.
% 44.95/14.84  																													|-Branch one:
% 44.95/14.84  																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 44.95/14.84  																													|
% 44.95/14.84  																														+-Applying beta-rule and splitting (578), into two cases.
% 44.95/14.84  																														|-Branch one:
% 44.95/14.84  																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 44.95/14.84  																														|
% 44.95/14.84  																															| Applying alpha-rule on (579) yields:
% 44.95/14.84  																															| (580) all_0_60_60 = e4
% 44.95/14.84  																															| (581)  ~ (all_0_61_61 = e1)
% 44.95/14.84  																															|
% 44.95/14.84  																															| Combining equations (451,580) yields a new equation:
% 44.95/14.84  																															| (582) all_0_90_90 = e4
% 44.95/14.84  																															|
% 44.95/14.84  																															| Simplifying 582 yields:
% 44.95/14.84  																															| (583) all_0_90_90 = e4
% 44.95/14.84  																															|
% 44.95/14.84  																															| Equations (583) can reduce 467 to:
% 44.95/14.84  																															| (311) $false
% 44.95/14.84  																															|
% 44.95/14.84  																															|-The branch is then unsatisfiable
% 44.95/14.84  																														|-Branch two:
% 44.95/14.84  																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 44.95/14.84  																														|
% 44.95/14.84  																															| Applying alpha-rule on (585) yields:
% 44.95/14.84  																															| (586) all_0_62_62 = e3
% 44.95/14.84  																															| (587)  ~ (all_0_63_63 = e1)
% 44.95/14.84  																															|
% 44.95/14.84  																															| Combining equations (586,8348) yields a new equation:
% 44.95/14.84  																															| (599) e3 = e0
% 44.95/14.84  																															|
% 44.95/14.84  																															| Simplifying 599 yields:
% 44.95/14.84  																															| (600) e3 = e0
% 44.95/14.84  																															|
% 44.95/14.84  																															| Equations (600) can reduce 50 to:
% 44.95/14.84  																															| (311) $false
% 44.95/14.84  																															|
% 44.95/14.84  																															|-The branch is then unsatisfiable
% 44.95/14.84  																													|-Branch two:
% 44.95/14.84  																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 44.95/14.84  																													|
% 44.95/14.84  																														| Applying alpha-rule on (590) yields:
% 44.95/14.84  																														| (591) all_0_64_64 = e2
% 44.95/14.84  																														| (592)  ~ (all_0_65_65 = e1)
% 44.95/14.84  																														|
% 44.95/14.84  																														| Combining equations (591,575) yields a new equation:
% 44.95/14.84  																														| (310) e4 = e2
% 44.95/14.84  																														|
% 44.95/14.84  																														| Equations (310) can reduce 79 to:
% 44.95/14.84  																														| (311) $false
% 44.95/14.84  																														|
% 44.95/14.84  																														|-The branch is then unsatisfiable
% 44.95/14.84  																												|-Branch two:
% 44.95/14.84  																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 44.95/14.84  																												|
% 44.95/14.84  																													| Applying alpha-rule on (596) yields:
% 44.95/14.84  																													| (597) all_0_67_67 = e0
% 44.95/14.84  																													| (598)  ~ (all_0_68_68 = e1)
% 44.95/14.84  																													|
% 44.95/14.84  																													| Combining equations (24645,597) yields a new equation:
% 44.95/14.84  																													| (24956) all_0_93_93 = e0
% 44.95/14.84  																													|
% 44.95/14.84  																													| Simplifying 24956 yields:
% 44.95/14.84  																													| (604) all_0_93_93 = e0
% 44.95/14.84  																													|
% 44.95/14.84  																													| Equations (604) can reduce 509 to:
% 44.95/14.84  																													| (311) $false
% 44.95/14.84  																													|
% 44.95/14.84  																													|-The branch is then unsatisfiable
% 44.95/14.84  																											|-Branch two:
% 44.95/14.84  																											| (1487)  ~ (all_0_91_91 = e0)
% 44.95/14.84  																											| (1837) all_0_96_96 = e0
% 44.95/14.84  																											|
% 44.95/14.84  																												| Equations (1837) can reduce 2095 to:
% 44.95/14.84  																												| (311) $false
% 44.95/14.84  																												|
% 44.95/14.84  																												|-The branch is then unsatisfiable
% 44.95/14.84  																									|-Branch two:
% 44.95/14.84  																									| (355)  ~ (all_0_95_95 = e2)
% 44.95/14.84  																									| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.95/14.84  																									|
% 44.95/14.84  																										+-Applying beta-rule and splitting (13419), into two cases.
% 44.95/14.84  																										|-Branch one:
% 44.95/14.84  																										| (345) all_0_86_86 = e2
% 44.95/14.84  																										|
% 44.95/14.84  																											| Combining equations (378,345) yields a new equation:
% 44.95/14.84  																											| (379) e2 = e0
% 44.95/14.84  																											|
% 44.95/14.84  																											| Equations (379) can reduce 76 to:
% 44.95/14.84  																											| (311) $false
% 44.95/14.84  																											|
% 44.95/14.84  																											|-The branch is then unsatisfiable
% 44.95/14.84  																										|-Branch two:
% 44.95/14.84  																										| (9507)  ~ (all_0_86_86 = e2)
% 44.95/14.84  																										| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 44.95/14.84  																										|
% 44.95/14.84  																											+-Applying beta-rule and splitting (13424), into two cases.
% 44.95/14.84  																											|-Branch one:
% 44.95/14.84  																											| (746) all_0_90_90 = e2
% 44.95/14.84  																											|
% 44.95/14.84  																												| Equations (746) can reduce 294 to:
% 44.95/14.84  																												| (311) $false
% 44.95/14.84  																												|
% 44.95/14.84  																												|-The branch is then unsatisfiable
% 44.95/14.84  																											|-Branch two:
% 44.95/14.84  																											| (294)  ~ (all_0_90_90 = e2)
% 44.95/14.84  																											| (767) all_0_95_95 = e2
% 44.95/14.84  																											|
% 44.95/14.84  																												| Equations (767) can reduce 355 to:
% 44.95/14.84  																												| (311) $false
% 44.95/14.84  																												|
% 44.95/14.84  																												|-The branch is then unsatisfiable
% 44.95/14.84  																	|-Branch two:
% 44.95/14.84  																	| (612)  ~ (all_0_84_84 = e2)
% 44.95/14.84  																	| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 44.95/14.84  																	|
% 44.95/14.84  																		+-Applying beta-rule and splitting (41), into two cases.
% 44.95/14.84  																		|-Branch one:
% 44.95/14.84  																		| (530) all_0_82_82 = e2
% 44.95/14.84  																		|
% 44.95/14.84  																			| Equations (530) can reduce 255 to:
% 44.95/14.84  																			| (293)  ~ (all_0_90_90 = e2)
% 44.95/14.84  																			|
% 44.95/14.84  																			| Simplifying 293 yields:
% 44.95/14.84  																			| (294)  ~ (all_0_90_90 = e2)
% 44.95/14.84  																			|
% 44.95/14.84  																			+-Applying beta-rule and splitting (109), into two cases.
% 44.95/14.84  																			|-Branch one:
% 44.95/14.84  																			| (469) all_0_82_82 = e4
% 44.95/14.84  																			|
% 44.95/14.84  																				| Combining equations (530,469) yields a new equation:
% 44.95/14.84  																				| (310) e4 = e2
% 44.95/14.84  																				|
% 44.95/14.84  																				| Equations (310) can reduce 79 to:
% 44.95/14.84  																				| (311) $false
% 44.95/14.84  																				|
% 44.95/14.84  																				|-The branch is then unsatisfiable
% 44.95/14.84  																			|-Branch two:
% 44.95/14.84  																			| (465)  ~ (all_0_82_82 = e4)
% 44.95/14.84  																			| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 44.95/14.84  																			|
% 44.95/14.84  																				| Equations (530) can reduce 465 to:
% 44.95/14.84  																				| (528)  ~ (e4 = e2)
% 44.95/14.84  																				|
% 44.95/14.84  																				| Simplifying 528 yields:
% 44.95/14.84  																				| (79)  ~ (e4 = e2)
% 44.95/14.84  																				|
% 44.95/14.84  																				+-Applying beta-rule and splitting (97), into two cases.
% 44.95/14.84  																				|-Branch one:
% 44.95/14.84  																				| (1757) all_0_94_94 = e2
% 44.95/14.84  																				|
% 44.95/14.84  																					| Combining equations (1757,313) yields a new equation:
% 44.95/14.84  																					| (310) e4 = e2
% 44.95/14.84  																					|
% 44.95/14.84  																					| Equations (310) can reduce 79 to:
% 44.95/14.84  																					| (311) $false
% 44.95/14.84  																					|
% 44.95/14.84  																					|-The branch is then unsatisfiable
% 44.95/14.84  																				|-Branch two:
% 44.95/14.84  																				| (1761)  ~ (all_0_94_94 = e2)
% 44.95/14.84  																				| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 44.95/14.84  																				|
% 44.95/14.84  																					| Equations (313) can reduce 1761 to:
% 44.95/14.84  																					| (79)  ~ (e4 = e2)
% 44.95/14.84  																					|
% 44.95/14.84  																					+-Applying beta-rule and splitting (617), into two cases.
% 44.95/14.84  																					|-Branch one:
% 44.95/14.84  																					| (1265) all_0_84_84 = e3
% 44.95/14.84  																					|
% 44.95/14.84  																						| Equations (1265) can reduce 422 to:
% 44.95/14.84  																						| (311) $false
% 44.95/14.84  																						|
% 44.95/14.84  																						|-The branch is then unsatisfiable
% 44.95/14.84  																					|-Branch two:
% 44.95/14.84  																					| (422)  ~ (all_0_84_84 = e3)
% 44.95/14.84  																					| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 44.95/14.84  																					|
% 44.95/14.84  																						+-Applying beta-rule and splitting (4), into two cases.
% 44.95/14.84  																						|-Branch one:
% 44.95/14.84  																						| (463) all_0_78_78 = e4
% 44.95/14.84  																						|
% 44.95/14.84  																							| Equations (463) can reduce 278 to:
% 44.95/14.84  																							| (1730)  ~ (all_0_81_81 = e4)
% 44.95/14.84  																							|
% 44.95/14.84  																							| Simplifying 1730 yields:
% 44.95/14.84  																							| (634)  ~ (all_0_81_81 = e4)
% 44.95/14.84  																							|
% 44.95/14.84  																							| Equations (463) can reduce 85 to:
% 44.95/14.84  																							| (466)  ~ (all_0_90_90 = e4)
% 44.95/14.84  																							|
% 44.95/14.84  																							| Simplifying 466 yields:
% 44.95/14.84  																							| (467)  ~ (all_0_90_90 = e4)
% 44.95/14.84  																							|
% 44.95/14.84  																							| Equations (463) can reduce 418 to:
% 44.95/14.84  																							| (177)  ~ (e4 = e3)
% 44.95/14.85  																							|
% 44.95/14.85  																							+-Applying beta-rule and splitting (123), into two cases.
% 44.95/14.85  																							|-Branch one:
% 44.95/14.85  																							| (473) all_0_81_81 = e2
% 44.95/14.85  																							|
% 44.95/14.85  																								| Equations (473) can reduce 396 to:
% 44.95/14.85  																								| (311) $false
% 44.95/14.85  																								|
% 44.95/14.85  																								|-The branch is then unsatisfiable
% 44.95/14.85  																							|-Branch two:
% 44.95/14.85  																							| (396)  ~ (all_0_81_81 = e2)
% 44.95/14.85  																							| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 44.95/14.85  																							|
% 44.95/14.85  																								+-Applying beta-rule and splitting (168), into two cases.
% 44.95/14.85  																								|-Branch one:
% 44.95/14.85  																								| (638) all_0_81_81 = e4
% 44.95/14.85  																								|
% 44.95/14.85  																									| Equations (638) can reduce 634 to:
% 44.95/14.85  																									| (311) $false
% 44.95/14.85  																									|
% 44.95/14.85  																									|-The branch is then unsatisfiable
% 44.95/14.85  																								|-Branch two:
% 44.95/14.85  																								| (634)  ~ (all_0_81_81 = e4)
% 44.95/14.85  																								| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 44.95/14.85  																								|
% 44.95/14.85  																									+-Applying beta-rule and splitting (1268), into two cases.
% 44.95/14.85  																									|-Branch one:
% 44.95/14.85  																									| (916) all_0_84_84 = e0
% 44.95/14.85  																									|
% 44.95/14.85  																										| Equations (916) can reduce 223 to:
% 44.95/14.85  																										| (1314)  ~ (all_0_83_83 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Equations (916) can reduce 154 to:
% 44.95/14.85  																										| (799)  ~ (all_0_85_85 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Simplifying 799 yields:
% 44.95/14.85  																										| (800)  ~ (all_0_85_85 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Equations (916) can reduce 195 to:
% 44.95/14.85  																										| (938)  ~ (all_0_97_97 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Simplifying 938 yields:
% 44.95/14.85  																										| (609)  ~ (all_0_97_97 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Equations (916) can reduce 417 to:
% 44.95/14.85  																										| (904)  ~ (e4 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Simplifying 904 yields:
% 44.95/14.85  																										| (23)  ~ (e4 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Equations (916) can reduce 422 to:
% 44.95/14.85  																										| (906)  ~ (e3 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| Simplifying 906 yields:
% 44.95/14.85  																										| (50)  ~ (e3 = e0)
% 44.95/14.85  																										|
% 44.95/14.85  																										| From (916) and (150) follows:
% 44.95/14.85  																										| (11508) op(e3, e0) = all_0_63_63
% 44.95/14.85  																										|
% 44.95/14.85  																										| From (916) and (122) follows:
% 44.95/14.85  																										| (1321) op(e1, e0) = all_0_62_62
% 44.95/14.85  																										|
% 44.95/14.85  																										+-Applying beta-rule and splitting (476), into two cases.
% 44.95/14.85  																										|-Branch one:
% 44.95/14.85  																										| (477) all_0_81_81 = e1
% 44.95/14.85  																										|
% 44.95/14.85  																											| Equations (477) can reduce 277 to:
% 44.95/14.85  																											| (480)  ~ (all_0_93_93 = e1)
% 44.95/14.85  																											|
% 44.95/14.85  																											| Simplifying 480 yields:
% 44.95/14.85  																											| (481)  ~ (all_0_93_93 = e1)
% 44.95/14.85  																											|
% 44.95/14.85  																											| Equations (477) can reduce 5 to:
% 44.95/14.85  																											| (1803)  ~ (all_0_98_98 = e1)
% 44.95/14.85  																											|
% 44.95/14.85  																											| Simplifying 1803 yields:
% 44.95/14.85  																											| (1804)  ~ (all_0_98_98 = e1)
% 44.95/14.85  																											|
% 44.95/14.85  																											| Equations (477) can reduce 257 to:
% 44.95/14.85  																											| (264)  ~ (e1 = e0)
% 44.95/14.85  																											|
% 44.95/14.85  																											+-Applying beta-rule and splitting (472), into two cases.
% 44.95/14.85  																											|-Branch one:
% 44.95/14.85  																											| (438) all_0_84_84 = e4
% 44.95/14.85  																											|
% 44.95/14.85  																												| Combining equations (438,916) yields a new equation:
% 44.95/14.85  																												| (911) e4 = e0
% 44.95/14.85  																												|
% 44.95/14.85  																												| Simplifying 911 yields:
% 44.95/14.85  																												| (912) e4 = e0
% 44.95/14.85  																												|
% 44.95/14.85  																												| Equations (912) can reduce 23 to:
% 44.95/14.85  																												| (311) $false
% 44.95/14.85  																												|
% 44.95/14.85  																												|-The branch is then unsatisfiable
% 44.95/14.85  																											|-Branch two:
% 44.95/14.85  																											| (417)  ~ (all_0_84_84 = e4)
% 44.95/14.85  																											| (493) all_0_85_85 = e4
% 44.95/14.85  																											|
% 44.95/14.85  																												| Equations (493) can reduce 800 to:
% 44.95/14.85  																												| (23)  ~ (e4 = e0)
% 44.95/14.85  																												|
% 44.95/14.85  																												| From (493) and (8) follows:
% 44.95/14.85  																												| (4406) op(e3, e0) = e4
% 44.95/14.85  																												|
% 44.95/14.85  																												+-Applying beta-rule and splitting (112), into two cases.
% 44.95/14.85  																												|-Branch one:
% 44.95/14.85  																												| (538) all_0_97_97 = e2
% 44.95/14.85  																												|
% 44.95/14.85  																													| Equations (538) can reduce 22 to:
% 44.95/14.85  																													| (1638)  ~ (all_0_96_96 = e2)
% 44.95/14.85  																													|
% 44.95/14.85  																													| Equations (538) can reduce 319 to:
% 44.95/14.85  																													| (528)  ~ (e4 = e2)
% 44.95/14.85  																													|
% 45.24/14.85  																													| Simplifying 528 yields:
% 45.24/14.85  																													| (79)  ~ (e4 = e2)
% 45.24/14.85  																													|
% 45.24/14.85  																													| Equations (538) can reduce 428 to:
% 45.24/14.85  																													| (356)  ~ (e3 = e2)
% 45.24/14.85  																													|
% 45.24/14.85  																													| Simplifying 356 yields:
% 45.24/14.85  																													| (169)  ~ (e3 = e2)
% 45.24/14.85  																													|
% 45.24/14.85  																													| From (538) and (252) follows:
% 45.24/14.85  																													| (4070) op(e1, e2) = all_0_67_67
% 45.24/14.85  																													|
% 45.24/14.85  																													| From (538) and (69) follows:
% 45.24/14.85  																													| (1352) op(e0, e2) = all_0_68_68
% 45.24/14.85  																													|
% 45.24/14.85  																													+-Applying beta-rule and splitting (171), into two cases.
% 45.24/14.85  																													|-Branch one:
% 45.24/14.85  																													| (789) all_0_82_82 = e3
% 45.24/14.85  																													|
% 45.24/14.85  																														| Combining equations (789,530) yields a new equation:
% 45.24/14.85  																														| (547) e3 = e2
% 45.24/14.85  																														|
% 45.24/14.85  																														| Simplifying 547 yields:
% 45.24/14.85  																														| (548) e3 = e2
% 45.24/14.85  																														|
% 45.24/14.85  																														| Equations (548) can reduce 169 to:
% 45.24/14.85  																														| (311) $false
% 45.24/14.85  																														|
% 45.24/14.85  																														|-The branch is then unsatisfiable
% 45.24/14.85  																													|-Branch two:
% 45.24/14.85  																													| (793)  ~ (all_0_82_82 = e3)
% 45.24/14.85  																													| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.24/14.85  																													|
% 45.24/14.85  																														+-Applying beta-rule and splitting (1296), into two cases.
% 45.24/14.85  																														|-Branch one:
% 45.24/14.85  																														| (795) all_0_83_83 = e3
% 45.24/14.85  																														|
% 45.24/14.85  																															| Equations (795) can reduce 211 to:
% 45.24/14.85  																															| (1300)  ~ (all_0_96_96 = e3)
% 45.24/14.85  																															|
% 45.24/14.85  																															| Simplifying 1300 yields:
% 45.24/14.85  																															| (964)  ~ (all_0_96_96 = e3)
% 45.24/14.85  																															|
% 45.24/14.85  																															| Equations (795) can reduce 1314 to:
% 45.24/14.85  																															| (50)  ~ (e3 = e0)
% 45.24/14.85  																															|
% 45.24/14.85  																															| From (795) and (206) follows:
% 45.24/14.85  																															| (8280) op(e2, e3) = all_0_54_54
% 45.24/14.85  																															|
% 45.24/14.85  																															| Instantiating formula (262) with e3, e0, e4, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e4, yields:
% 45.24/14.85  																															| (10099) all_0_63_63 = e4
% 45.24/14.85  																															|
% 45.24/14.85  																															| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 45.24/14.85  																															| (12243) all_0_54_54 = e0
% 45.24/14.85  																															|
% 45.24/14.85  																															| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 45.24/14.85  																															| (4077) all_0_67_67 = all_0_91_91
% 45.24/14.85  																															|
% 45.24/14.85  																															| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 45.24/14.85  																															| (1367) all_0_62_62 = all_0_93_93
% 45.24/14.85  																															|
% 45.24/14.85  																															| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 45.24/14.85  																															| (1368) all_0_68_68 = all_0_96_96
% 45.24/14.85  																															|
% 45.24/14.85  																															+-Applying beta-rule and splitting (219), into two cases.
% 45.24/14.85  																															|-Branch one:
% 45.24/14.85  																															| (798) all_0_83_83 = e0
% 45.24/14.85  																															|
% 45.24/14.85  																																| Combining equations (795,798) yields a new equation:
% 45.24/14.85  																																| (599) e3 = e0
% 45.24/14.85  																																|
% 45.24/14.85  																																| Simplifying 599 yields:
% 45.24/14.85  																																| (600) e3 = e0
% 45.24/14.85  																																|
% 45.24/14.85  																																| Equations (600) can reduce 50 to:
% 45.24/14.85  																																| (311) $false
% 45.24/14.85  																																|
% 45.24/14.85  																																|-The branch is then unsatisfiable
% 45.24/14.85  																															|-Branch two:
% 45.24/14.85  																															| (1314)  ~ (all_0_83_83 = e0)
% 45.24/14.85  																															| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 45.24/14.85  																															|
% 45.24/14.85  																																| Equations (795) can reduce 1314 to:
% 45.24/14.85  																																| (50)  ~ (e3 = e0)
% 45.24/14.85  																																|
% 45.24/14.85  																																+-Applying beta-rule and splitting (33), into two cases.
% 45.24/14.85  																																|-Branch one:
% 45.24/14.85  																																| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.24/14.85  																																|
% 45.24/14.85  																																	+-Applying beta-rule and splitting (1686), into two cases.
% 45.24/14.85  																																	|-Branch one:
% 45.24/14.85  																																	| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.24/14.85  																																	|
% 45.24/14.85  																																		+-Applying beta-rule and splitting (1687), into two cases.
% 45.24/14.85  																																		|-Branch one:
% 45.24/14.85  																																		| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.24/14.85  																																		|
% 45.24/14.85  																																			| Applying alpha-rule on (1688) yields:
% 45.24/14.85  																																			| (1689) all_0_52_52 = e4
% 45.24/14.85  																																			| (1690)  ~ (all_0_53_53 = e2)
% 45.24/14.85  																																			|
% 45.24/14.85  																																			| Equations (24571) can reduce 1690 to:
% 45.24/14.85  																																			| (311) $false
% 45.24/14.85  																																			|
% 45.24/14.85  																																			|-The branch is then unsatisfiable
% 45.24/14.85  																																		|-Branch two:
% 45.24/14.85  																																		| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.24/14.85  																																		|
% 45.24/14.85  																																			| Applying alpha-rule on (1694) yields:
% 45.24/14.85  																																			| (1695) all_0_54_54 = e3
% 45.24/14.85  																																			| (1696)  ~ (all_0_55_55 = e2)
% 45.24/14.85  																																			|
% 45.24/14.85  																																			| Combining equations (12243,1695) yields a new equation:
% 45.24/14.85  																																			| (600) e3 = e0
% 45.24/14.85  																																			|
% 45.24/14.85  																																			| Equations (600) can reduce 50 to:
% 45.24/14.85  																																			| (311) $false
% 45.24/14.85  																																			|
% 45.24/14.85  																																			|-The branch is then unsatisfiable
% 45.24/14.85  																																	|-Branch two:
% 45.24/14.85  																																	| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.24/14.85  																																	|
% 45.24/14.85  																																		| Applying alpha-rule on (1700) yields:
% 45.24/14.85  																																		| (1701) all_0_56_56 = e1
% 45.24/14.85  																																		| (1702)  ~ (all_0_57_57 = e2)
% 45.24/14.85  																																		|
% 45.24/14.85  																																		| From (1701) and (222) follows:
% 45.24/14.85  																																		| (1703) op(e2, all_0_91_91) = e1
% 45.24/14.85  																																		|
% 45.24/14.85  																																		+-Applying beta-rule and splitting (276), into two cases.
% 45.24/14.85  																																		|-Branch one:
% 45.24/14.85  																																		| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.24/14.85  																																		|
% 45.24/14.85  																																			+-Applying beta-rule and splitting (577), into two cases.
% 45.24/14.85  																																			|-Branch one:
% 45.24/14.85  																																			| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.24/14.85  																																			|
% 45.24/14.85  																																				+-Applying beta-rule and splitting (578), into two cases.
% 45.24/14.85  																																				|-Branch one:
% 45.24/14.85  																																				| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.24/14.85  																																				|
% 45.24/14.85  																																					| Applying alpha-rule on (579) yields:
% 45.24/14.85  																																					| (580) all_0_60_60 = e4
% 45.24/14.85  																																					| (581)  ~ (all_0_61_61 = e1)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Combining equations (580,451) yields a new equation:
% 45.24/14.85  																																					| (583) all_0_90_90 = e4
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (583) can reduce 467 to:
% 45.24/14.85  																																					| (311) $false
% 45.24/14.85  																																					|
% 45.24/14.85  																																					|-The branch is then unsatisfiable
% 45.24/14.85  																																				|-Branch two:
% 45.24/14.85  																																				| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.24/14.85  																																				|
% 45.24/14.85  																																					| Applying alpha-rule on (585) yields:
% 45.24/14.85  																																					| (586) all_0_62_62 = e3
% 45.24/14.85  																																					| (587)  ~ (all_0_63_63 = e1)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Combining equations (1367,586) yields a new equation:
% 45.24/14.85  																																					| (1468) all_0_93_93 = e3
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Simplifying 1468 yields:
% 45.24/14.85  																																					| (570) all_0_93_93 = e3
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (10099) can reduce 587 to:
% 45.24/14.85  																																					| (256)  ~ (e4 = e1)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (570) can reduce 44 to:
% 45.24/14.85  																																					| (571)  ~ (all_0_91_91 = e3)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (570) can reduce 13 to:
% 45.24/14.85  																																					| (1518)  ~ (all_0_98_98 = e3)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Simplifying 1518 yields:
% 45.24/14.85  																																					| (1519)  ~ (all_0_98_98 = e3)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (570) can reduce 300 to:
% 45.24/14.85  																																					| (169)  ~ (e3 = e2)
% 45.24/14.85  																																					|
% 45.24/14.85  																																					| Equations (570) can reduce 481 to:
% 45.24/14.85  																																					| (20)  ~ (e3 = e1)
% 45.24/14.86  																																					|
% 45.24/14.86  																																					+-Applying beta-rule and splitting (270), into two cases.
% 45.24/14.86  																																					|-Branch one:
% 45.24/14.86  																																					| (744) all_0_95_95 = e3
% 45.24/14.86  																																					|
% 45.24/14.86  																																						| Equations (744) can reduce 229 to:
% 45.24/14.86  																																						| (745)  ~ (all_0_90_90 = e3)
% 45.24/14.86  																																						|
% 45.24/14.86  																																						| Equations (744) can reduce 279 to:
% 45.24/14.86  																																						| (1300)  ~ (all_0_96_96 = e3)
% 45.24/14.86  																																						|
% 45.24/14.86  																																						| Simplifying 1300 yields:
% 45.24/14.86  																																						| (964)  ~ (all_0_96_96 = e3)
% 45.24/14.86  																																						|
% 45.24/14.86  																																						+-Applying beta-rule and splitting (188), into two cases.
% 45.24/14.86  																																						|-Branch one:
% 45.24/14.86  																																						| (676) all_0_78_78 = e1
% 45.24/14.86  																																						|
% 45.24/14.86  																																							| Combining equations (463,676) yields a new equation:
% 45.24/14.86  																																							| (813) e4 = e1
% 45.24/14.86  																																							|
% 45.24/14.86  																																							| Simplifying 813 yields:
% 45.24/14.86  																																							| (814) e4 = e1
% 45.24/14.86  																																							|
% 45.24/14.86  																																							| Equations (814) can reduce 256 to:
% 45.24/14.86  																																							| (311) $false
% 45.24/14.86  																																							|
% 45.24/14.86  																																							|-The branch is then unsatisfiable
% 45.24/14.86  																																						|-Branch two:
% 45.24/14.86  																																						| (1601)  ~ (all_0_78_78 = e1)
% 45.24/14.86  																																						| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.24/14.86  																																						|
% 45.24/14.86  																																							+-Applying beta-rule and splitting (1718), into two cases.
% 45.24/14.86  																																							|-Branch one:
% 45.24/14.86  																																							| (384) all_0_86_86 = e1
% 45.24/14.86  																																							|
% 45.24/14.86  																																								| Combining equations (384,378) yields a new equation:
% 45.24/14.86  																																								| (1107) e1 = e0
% 45.24/14.86  																																								|
% 45.24/14.86  																																								| Simplifying 1107 yields:
% 45.24/14.86  																																								| (865) e1 = e0
% 45.24/14.86  																																								|
% 45.24/14.86  																																								| Equations (865) can reduce 264 to:
% 45.24/14.86  																																								| (311) $false
% 45.24/14.86  																																								|
% 45.24/14.86  																																								|-The branch is then unsatisfiable
% 45.24/14.86  																																							|-Branch two:
% 45.24/14.86  																																							| (387)  ~ (all_0_86_86 = e1)
% 45.24/14.86  																																							| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.24/14.86  																																							|
% 45.24/14.86  																																								+-Applying beta-rule and splitting (289), into two cases.
% 45.24/14.86  																																								|-Branch one:
% 45.24/14.86  																																								| (954) all_0_85_85 = e0
% 45.24/14.86  																																								|
% 45.24/14.86  																																									| Combining equations (493,954) yields a new equation:
% 45.24/14.86  																																									| (911) e4 = e0
% 45.24/14.86  																																									|
% 45.24/14.86  																																									| Simplifying 911 yields:
% 45.24/14.86  																																									| (912) e4 = e0
% 45.24/14.86  																																									|
% 45.24/14.86  																																									| Equations (912) can reduce 23 to:
% 45.24/14.86  																																									| (311) $false
% 45.24/14.86  																																									|
% 45.24/14.86  																																									|-The branch is then unsatisfiable
% 45.24/14.86  																																								|-Branch two:
% 45.24/14.86  																																								| (800)  ~ (all_0_85_85 = e0)
% 45.24/14.86  																																								| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.24/14.86  																																								|
% 45.24/14.86  																																									+-Applying beta-rule and splitting (291), into two cases.
% 45.24/14.86  																																									|-Branch one:
% 45.24/14.86  																																									| (758) all_0_90_90 = e0
% 45.24/14.86  																																									|
% 45.24/14.86  																																										| Equations (758) can reduce 762 to:
% 45.24/14.86  																																										| (311) $false
% 45.24/14.86  																																										|
% 45.24/14.86  																																										|-The branch is then unsatisfiable
% 45.24/14.86  																																									|-Branch two:
% 45.24/14.86  																																									| (762)  ~ (all_0_90_90 = e0)
% 45.24/14.86  																																									| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.24/14.86  																																									|
% 45.24/14.86  																																										+-Applying beta-rule and splitting (27), into two cases.
% 45.24/14.86  																																										|-Branch one:
% 45.24/14.86  																																										| (746) all_0_90_90 = e2
% 45.24/14.86  																																										|
% 45.24/14.86  																																											| Equations (746) can reduce 294 to:
% 45.24/14.86  																																											| (311) $false
% 45.24/14.86  																																											|
% 45.24/14.86  																																											|-The branch is then unsatisfiable
% 45.24/14.86  																																										|-Branch two:
% 45.24/14.86  																																										| (294)  ~ (all_0_90_90 = e2)
% 45.24/14.86  																																										| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.24/14.86  																																										|
% 45.24/14.86  																																											+-Applying beta-rule and splitting (2122), into two cases.
% 45.24/14.86  																																											|-Branch one:
% 45.24/14.86  																																											| (750) all_0_90_90 = e1
% 45.24/14.86  																																											|
% 45.24/14.86  																																												| Equations (750) can reduce 745 to:
% 45.24/14.86  																																												| (683)  ~ (e3 = e1)
% 45.24/14.86  																																												|
% 45.24/14.86  																																												| Simplifying 683 yields:
% 45.24/14.86  																																												| (20)  ~ (e3 = e1)
% 45.24/14.86  																																												|
% 45.24/14.86  																																												| Equations (750) can reduce 294 to:
% 45.24/14.86  																																												| (487)  ~ (e2 = e1)
% 45.24/14.86  																																												|
% 45.24/14.86  																																												| Simplifying 487 yields:
% 45.24/14.86  																																												| (243)  ~ (e2 = e1)
% 45.24/14.86  																																												|
% 45.24/14.86  																																												+-Applying beta-rule and splitting (176), into two cases.
% 45.24/14.86  																																												|-Branch one:
% 45.24/14.86  																																												| (785) all_0_95_95 = e1
% 45.24/14.86  																																												|
% 45.24/14.86  																																													| Combining equations (744,785) yields a new equation:
% 45.24/14.86  																																													| (825) e3 = e1
% 45.24/14.86  																																													|
% 45.24/14.86  																																													| Simplifying 825 yields:
% 45.24/14.86  																																													| (772) e3 = e1
% 45.24/14.86  																																													|
% 45.24/14.86  																																													| Equations (772) can reduce 20 to:
% 45.24/14.86  																																													| (311) $false
% 45.24/14.86  																																													|
% 45.24/14.86  																																													|-The branch is then unsatisfiable
% 45.24/14.86  																																												|-Branch two:
% 45.24/14.86  																																												| (680)  ~ (all_0_95_95 = e1)
% 45.24/14.86  																																												| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.24/14.86  																																												|
% 45.24/14.86  																																													+-Applying beta-rule and splitting (1455), into two cases.
% 45.24/14.86  																																													|-Branch one:
% 45.24/14.86  																																													| (1456) all_0_91_91 = e0
% 45.24/14.86  																																													|
% 45.24/14.86  																																														| Equations (1456) can reduce 571 to:
% 45.24/14.86  																																														| (906)  ~ (e3 = e0)
% 45.24/14.86  																																														|
% 45.24/14.86  																																														| Simplifying 906 yields:
% 45.24/14.86  																																														| (50)  ~ (e3 = e0)
% 45.24/14.86  																																														|
% 45.24/14.86  																																														| Equations (1456) can reduce 296 to:
% 45.24/14.86  																																														| (510)  ~ (e2 = e0)
% 45.24/14.86  																																														|
% 45.24/14.86  																																														| Simplifying 510 yields:
% 45.24/14.86  																																														| (76)  ~ (e2 = e0)
% 45.24/14.86  																																														|
% 45.24/14.86  																																														| From (1456) and (1703) follows:
% 45.24/14.86  																																														| (2305) op(e2, e0) = e1
% 45.24/14.86  																																														|
% 45.24/14.86  																																														+-Applying beta-rule and splitting (1077), into two cases.
% 45.24/14.86  																																														|-Branch one:
% 45.24/14.86  																																														| (507) all_0_88_88 = e0
% 45.24/14.86  																																														|
% 45.24/14.86  																																															| Combining equations (370,507) yields a new equation:
% 45.24/14.86  																																															| (923) e2 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																															| Simplifying 923 yields:
% 45.24/14.86  																																															| (379) e2 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																															| Equations (379) can reduce 76 to:
% 45.24/14.86  																																															| (311) $false
% 45.24/14.86  																																															|
% 45.24/14.86  																																															|-The branch is then unsatisfiable
% 45.24/14.86  																																														|-Branch two:
% 45.24/14.86  																																														| (1110)  ~ (all_0_88_88 = e0)
% 45.24/14.86  																																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 45.24/14.86  																																														|
% 45.24/14.86  																																															+-Applying beta-rule and splitting (1111), into two cases.
% 45.24/14.86  																																															|-Branch one:
% 45.24/14.86  																																															| (604) all_0_93_93 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																																| Combining equations (604,570) yields a new equation:
% 45.24/14.86  																																																| (600) e3 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Equations (600) can reduce 50 to:
% 45.24/14.86  																																																| (311) $false
% 45.24/14.86  																																																|
% 45.24/14.86  																																																|-The branch is then unsatisfiable
% 45.24/14.86  																																															|-Branch two:
% 45.24/14.86  																																															| (509)  ~ (all_0_93_93 = e0)
% 45.24/14.86  																																															| (1121) all_0_98_98 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																																| Equations (1121) can reduce 1804 to:
% 45.24/14.86  																																																| (859)  ~ (e1 = e0)
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Simplifying 859 yields:
% 45.24/14.86  																																																| (264)  ~ (e1 = e0)
% 45.24/14.86  																																																|
% 45.24/14.86  																																																+-Applying beta-rule and splitting (84), into two cases.
% 45.24/14.86  																																																|-Branch one:
% 45.24/14.86  																																																| (1704) all_0_96_96 = e2
% 45.24/14.86  																																																|
% 45.24/14.86  																																																	| Equations (1704) can reduce 1638 to:
% 45.24/14.86  																																																	| (311) $false
% 45.24/14.86  																																																	|
% 45.24/14.86  																																																	|-The branch is then unsatisfiable
% 45.24/14.86  																																																|-Branch two:
% 45.24/14.86  																																																| (1638)  ~ (all_0_96_96 = e2)
% 45.24/14.86  																																																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																	+-Applying beta-rule and splitting (788), into two cases.
% 45.24/14.86  																																																	|-Branch one:
% 45.24/14.86  																																																	| (960) all_0_96_96 = e1
% 45.24/14.86  																																																	|
% 45.24/14.86  																																																		| Equations (960) can reduce 1638 to:
% 45.24/14.86  																																																		| (487)  ~ (e2 = e1)
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																		| Simplifying 487 yields:
% 45.24/14.86  																																																		| (243)  ~ (e2 = e1)
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																		| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 45.24/14.86  																																																		| (385) e2 = e1
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																		| Equations (385) can reduce 243 to:
% 45.24/14.86  																																																		| (311) $false
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																		|-The branch is then unsatisfiable
% 45.24/14.86  																																																	|-Branch two:
% 45.24/14.86  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 45.24/14.86  																																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.24/14.86  																																																	|
% 45.24/14.86  																																																		+-Applying beta-rule and splitting (2126), into two cases.
% 45.24/14.86  																																																		|-Branch one:
% 45.24/14.86  																																																		| (542) all_0_97_97 = e1
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																			| Combining equations (538,542) yields a new equation:
% 45.24/14.86  																																																			| (408) e2 = e1
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			| Simplifying 408 yields:
% 45.24/14.86  																																																			| (385) e2 = e1
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			| Equations (385) can reduce 243 to:
% 45.24/14.86  																																																			| (311) $false
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			|-The branch is then unsatisfiable
% 45.24/14.86  																																																		|-Branch two:
% 45.24/14.86  																																																		| (486)  ~ (all_0_97_97 = e1)
% 45.24/14.86  																																																		| (1543) all_0_98_98 = e1
% 45.24/14.86  																																																		|
% 45.24/14.86  																																																			| Combining equations (1543,1121) yields a new equation:
% 45.24/14.86  																																																			| (1107) e1 = e0
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			| Simplifying 1107 yields:
% 45.24/14.86  																																																			| (865) e1 = e0
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			| Equations (865) can reduce 264 to:
% 45.24/14.86  																																																			| (311) $false
% 45.24/14.86  																																																			|
% 45.24/14.86  																																																			|-The branch is then unsatisfiable
% 45.24/14.86  																																													|-Branch two:
% 45.24/14.86  																																													| (1487)  ~ (all_0_91_91 = e0)
% 45.24/14.86  																																													| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.24/14.86  																																													|
% 45.24/14.86  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 45.24/14.86  																																														|-Branch one:
% 45.24/14.86  																																														| (1456) all_0_91_91 = e0
% 45.24/14.86  																																														|
% 45.24/14.86  																																															| Equations (1456) can reduce 1487 to:
% 45.24/14.86  																																															| (311) $false
% 45.24/14.86  																																															|
% 45.24/14.86  																																															|-The branch is then unsatisfiable
% 45.24/14.86  																																														|-Branch two:
% 45.24/14.86  																																														| (1487)  ~ (all_0_91_91 = e0)
% 45.24/14.86  																																														| (1837) all_0_96_96 = e0
% 45.24/14.86  																																														|
% 45.24/14.86  																																															| Equations (1837) can reduce 115 to:
% 45.24/14.86  																																															| (904)  ~ (e4 = e0)
% 45.24/14.86  																																															|
% 45.24/14.86  																																															| Simplifying 904 yields:
% 45.24/14.86  																																															| (23)  ~ (e4 = e0)
% 45.24/14.86  																																															|
% 45.24/14.86  																																															| Equations (1837) can reduce 964 to:
% 45.24/14.86  																																															| (906)  ~ (e3 = e0)
% 45.24/14.86  																																															|
% 45.24/14.86  																																															| Simplifying 906 yields:
% 45.24/14.86  																																															| (50)  ~ (e3 = e0)
% 45.24/14.86  																																															|
% 45.24/14.86  																																															+-Applying beta-rule and splitting (1488), into two cases.
% 45.24/14.86  																																															|-Branch one:
% 45.24/14.86  																																															| (942) all_0_92_92 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																																| Combining equations (442,942) yields a new equation:
% 45.24/14.86  																																																| (911) e4 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Simplifying 911 yields:
% 45.24/14.86  																																																| (912) e4 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Equations (912) can reduce 23 to:
% 45.24/14.86  																																																| (311) $false
% 45.24/14.86  																																																|
% 45.24/14.86  																																																|-The branch is then unsatisfiable
% 45.24/14.86  																																															|-Branch two:
% 45.24/14.86  																																															| (946)  ~ (all_0_92_92 = e0)
% 45.24/14.86  																																															| (604) all_0_93_93 = e0
% 45.24/14.86  																																															|
% 45.24/14.86  																																																| Combining equations (570,604) yields a new equation:
% 45.24/14.86  																																																| (599) e3 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Simplifying 599 yields:
% 45.24/14.86  																																																| (600) e3 = e0
% 45.24/14.86  																																																|
% 45.24/14.86  																																																| Equations (600) can reduce 50 to:
% 45.24/14.86  																																																| (311) $false
% 45.24/14.86  																																																|
% 45.24/14.86  																																																|-The branch is then unsatisfiable
% 45.24/14.86  																																											|-Branch two:
% 45.24/14.86  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.24/14.86  																																											| (785) all_0_95_95 = e1
% 45.24/14.86  																																											|
% 45.24/14.86  																																												| Combining equations (785,744) yields a new equation:
% 45.24/14.86  																																												| (772) e3 = e1
% 45.24/14.86  																																												|
% 45.24/14.86  																																												| Equations (772) can reduce 20 to:
% 45.24/14.86  																																												| (311) $false
% 45.24/14.86  																																												|
% 45.24/14.86  																																												|-The branch is then unsatisfiable
% 45.24/14.86  																																					|-Branch two:
% 45.24/14.86  																																					| (765)  ~ (all_0_95_95 = e3)
% 45.24/14.86  																																					| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.24/14.86  																																					|
% 45.24/14.86  																																						+-Applying beta-rule and splitting (766), into two cases.
% 45.24/14.86  																																						|-Branch one:
% 45.24/14.86  																																						| (778) all_0_96_96 = e3
% 45.24/14.86  																																						|
% 45.24/14.86  																																							| Equations (778) can reduce 964 to:
% 45.24/14.86  																																							| (311) $false
% 45.24/14.86  																																							|
% 45.24/14.86  																																							|-The branch is then unsatisfiable
% 45.24/14.86  																																						|-Branch two:
% 45.24/14.86  																																						| (964)  ~ (all_0_96_96 = e3)
% 45.24/14.86  																																						| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.24/14.86  																																						|
% 45.24/14.86  																																							+-Applying beta-rule and splitting (965), into two cases.
% 45.24/14.86  																																							|-Branch one:
% 45.24/14.86  																																							| (556) all_0_97_97 = e3
% 45.24/14.86  																																							|
% 45.24/14.86  																																								| Combining equations (538,556) yields a new equation:
% 45.24/14.86  																																								| (548) e3 = e2
% 45.24/14.86  																																								|
% 45.24/14.86  																																								| Equations (548) can reduce 169 to:
% 45.24/14.86  																																								| (311) $false
% 45.24/14.86  																																								|
% 45.24/14.86  																																								|-The branch is then unsatisfiable
% 45.24/14.86  																																							|-Branch two:
% 45.24/14.86  																																							| (428)  ~ (all_0_97_97 = e3)
% 45.24/14.86  																																							| (969) all_0_98_98 = e3
% 45.24/14.86  																																							|
% 45.24/14.86  																																								| Equations (969) can reduce 1519 to:
% 45.24/14.86  																																								| (311) $false
% 45.24/14.86  																																								|
% 45.24/14.86  																																								|-The branch is then unsatisfiable
% 45.24/14.86  																																			|-Branch two:
% 45.24/14.86  																																			| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.24/14.86  																																			|
% 45.24/14.86  																																				| Applying alpha-rule on (590) yields:
% 45.24/14.86  																																				| (591) all_0_64_64 = e2
% 45.24/14.86  																																				| (592)  ~ (all_0_65_65 = e1)
% 45.24/14.86  																																				|
% 45.24/14.86  																																				| Combining equations (591,575) yields a new equation:
% 45.24/14.86  																																				| (310) e4 = e2
% 45.24/14.86  																																				|
% 45.24/14.86  																																				| Equations (310) can reduce 79 to:
% 45.24/14.86  																																				| (311) $false
% 45.24/14.86  																																				|
% 45.24/14.86  																																				|-The branch is then unsatisfiable
% 45.24/14.86  																																		|-Branch two:
% 45.24/14.86  																																		| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.24/14.86  																																		|
% 45.24/14.86  																																			| Applying alpha-rule on (596) yields:
% 45.24/14.86  																																			| (597) all_0_67_67 = e0
% 45.24/14.86  																																			| (598)  ~ (all_0_68_68 = e1)
% 45.24/14.86  																																			|
% 45.24/14.86  																																			| Combining equations (4077,597) yields a new equation:
% 45.24/14.86  																																			| (4610) all_0_91_91 = e0
% 45.24/14.86  																																			|
% 45.24/14.86  																																			| Simplifying 4610 yields:
% 45.24/14.86  																																			| (1456) all_0_91_91 = e0
% 45.24/14.86  																																			|
% 45.24/14.86  																																			| Equations (1368) can reduce 598 to:
% 45.24/14.86  																																			| (1479)  ~ (all_0_96_96 = e1)
% 45.24/14.86  																																			|
% 45.24/14.86  																																			+-Applying beta-rule and splitting (462), into two cases.
% 45.24/14.86  																																			|-Branch one:
% 45.24/14.86  																																			| (801) all_0_91_91 = e1
% 45.24/14.86  																																			|
% 45.24/14.86  																																				| Combining equations (801,1456) yields a new equation:
% 45.24/14.86  																																				| (1107) e1 = e0
% 45.24/14.86  																																				|
% 45.24/14.86  																																				| Simplifying 1107 yields:
% 45.24/14.86  																																				| (865) e1 = e0
% 45.24/14.86  																																				|
% 45.24/14.86  																																				| Equations (865) can reduce 264 to:
% 45.24/14.86  																																				| (311) $false
% 45.24/14.86  																																				|
% 45.24/14.86  																																				|-The branch is then unsatisfiable
% 45.24/14.86  																																			|-Branch two:
% 45.24/14.86  																																			| (959)  ~ (all_0_91_91 = e1)
% 45.24/14.86  																																			| (960) all_0_96_96 = e1
% 45.24/14.86  																																			|
% 45.24/14.86  																																				| Equations (960) can reduce 1479 to:
% 45.24/14.86  																																				| (311) $false
% 45.24/14.86  																																				|
% 45.24/14.86  																																				|-The branch is then unsatisfiable
% 45.24/14.86  																																|-Branch two:
% 45.24/14.86  																																| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.24/14.86  																																|
% 45.24/14.86  																																	| Applying alpha-rule on (4957) yields:
% 45.24/14.86  																																	| (4958) all_0_58_58 = e0
% 45.24/14.86  																																	| (4959)  ~ (all_0_59_59 = e2)
% 45.24/14.86  																																	|
% 45.24/14.86  																																	| From (4958) and (212) follows:
% 45.24/14.86  																																	| (4960) op(e2, all_0_96_96) = e0
% 45.24/14.86  																																	|
% 45.24/14.86  																																	+-Applying beta-rule and splitting (276), into two cases.
% 45.24/14.86  																																	|-Branch one:
% 45.24/14.86  																																	| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.24/14.86  																																	|
% 45.24/14.86  																																		+-Applying beta-rule and splitting (577), into two cases.
% 45.24/14.86  																																		|-Branch one:
% 45.24/14.86  																																		| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.24/14.86  																																		|
% 45.24/14.86  																																			+-Applying beta-rule and splitting (578), into two cases.
% 45.24/14.86  																																			|-Branch one:
% 45.24/14.86  																																			| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.24/14.86  																																			|
% 45.24/14.86  																																				| Applying alpha-rule on (579) yields:
% 45.24/14.86  																																				| (580) all_0_60_60 = e4
% 45.24/14.86  																																				| (581)  ~ (all_0_61_61 = e1)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Combining equations (580,451) yields a new equation:
% 45.24/14.87  																																				| (583) all_0_90_90 = e4
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (583) can reduce 467 to:
% 45.24/14.87  																																				| (311) $false
% 45.24/14.87  																																				|
% 45.24/14.87  																																				|-The branch is then unsatisfiable
% 45.24/14.87  																																			|-Branch two:
% 45.24/14.87  																																			| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.24/14.87  																																			|
% 45.24/14.87  																																				| Applying alpha-rule on (585) yields:
% 45.24/14.87  																																				| (586) all_0_62_62 = e3
% 45.24/14.87  																																				| (587)  ~ (all_0_63_63 = e1)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Combining equations (1367,586) yields a new equation:
% 45.24/14.87  																																				| (1468) all_0_93_93 = e3
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Simplifying 1468 yields:
% 45.24/14.87  																																				| (570) all_0_93_93 = e3
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (10099) can reduce 587 to:
% 45.24/14.87  																																				| (256)  ~ (e4 = e1)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (570) can reduce 44 to:
% 45.24/14.87  																																				| (571)  ~ (all_0_91_91 = e3)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (570) can reduce 13 to:
% 45.24/14.87  																																				| (1518)  ~ (all_0_98_98 = e3)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Simplifying 1518 yields:
% 45.24/14.87  																																				| (1519)  ~ (all_0_98_98 = e3)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (570) can reduce 300 to:
% 45.24/14.87  																																				| (169)  ~ (e3 = e2)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				| Equations (570) can reduce 481 to:
% 45.24/14.87  																																				| (20)  ~ (e3 = e1)
% 45.24/14.87  																																				|
% 45.24/14.87  																																				+-Applying beta-rule and splitting (270), into two cases.
% 45.24/14.87  																																				|-Branch one:
% 45.24/14.87  																																				| (744) all_0_95_95 = e3
% 45.24/14.87  																																				|
% 45.24/14.87  																																					| Equations (744) can reduce 229 to:
% 45.24/14.87  																																					| (745)  ~ (all_0_90_90 = e3)
% 45.24/14.87  																																					|
% 45.24/14.87  																																					| Equations (744) can reduce 279 to:
% 45.24/14.87  																																					| (1300)  ~ (all_0_96_96 = e3)
% 45.24/14.87  																																					|
% 45.24/14.87  																																					| Simplifying 1300 yields:
% 45.24/14.87  																																					| (964)  ~ (all_0_96_96 = e3)
% 45.24/14.87  																																					|
% 45.24/14.87  																																					+-Applying beta-rule and splitting (188), into two cases.
% 45.24/14.87  																																					|-Branch one:
% 45.24/14.87  																																					| (676) all_0_78_78 = e1
% 45.24/14.87  																																					|
% 45.24/14.87  																																						| Combining equations (463,676) yields a new equation:
% 45.24/14.87  																																						| (813) e4 = e1
% 45.24/14.87  																																						|
% 45.24/14.87  																																						| Simplifying 813 yields:
% 45.24/14.87  																																						| (814) e4 = e1
% 45.24/14.87  																																						|
% 45.24/14.87  																																						| Equations (814) can reduce 256 to:
% 45.24/14.87  																																						| (311) $false
% 45.24/14.87  																																						|
% 45.24/14.87  																																						|-The branch is then unsatisfiable
% 45.24/14.87  																																					|-Branch two:
% 45.24/14.87  																																					| (1601)  ~ (all_0_78_78 = e1)
% 45.24/14.87  																																					| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.24/14.87  																																					|
% 45.24/14.87  																																						+-Applying beta-rule and splitting (1718), into two cases.
% 45.24/14.87  																																						|-Branch one:
% 45.24/14.87  																																						| (384) all_0_86_86 = e1
% 45.24/14.87  																																						|
% 45.24/14.87  																																							| Combining equations (384,378) yields a new equation:
% 45.24/14.87  																																							| (1107) e1 = e0
% 45.24/14.87  																																							|
% 45.24/14.87  																																							| Simplifying 1107 yields:
% 45.24/14.87  																																							| (865) e1 = e0
% 45.24/14.87  																																							|
% 45.24/14.87  																																							| Equations (865) can reduce 264 to:
% 45.24/14.87  																																							| (311) $false
% 45.24/14.87  																																							|
% 45.24/14.87  																																							|-The branch is then unsatisfiable
% 45.24/14.87  																																						|-Branch two:
% 45.24/14.87  																																						| (387)  ~ (all_0_86_86 = e1)
% 45.24/14.87  																																						| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.24/14.87  																																						|
% 45.24/14.87  																																							+-Applying beta-rule and splitting (289), into two cases.
% 45.24/14.87  																																							|-Branch one:
% 45.24/14.87  																																							| (954) all_0_85_85 = e0
% 45.24/14.87  																																							|
% 45.24/14.87  																																								| Combining equations (493,954) yields a new equation:
% 45.24/14.87  																																								| (911) e4 = e0
% 45.24/14.87  																																								|
% 45.24/14.87  																																								| Simplifying 911 yields:
% 45.24/14.87  																																								| (912) e4 = e0
% 45.24/14.87  																																								|
% 45.24/14.87  																																								| Equations (912) can reduce 23 to:
% 45.24/14.87  																																								| (311) $false
% 45.24/14.87  																																								|
% 45.24/14.87  																																								|-The branch is then unsatisfiable
% 45.24/14.87  																																							|-Branch two:
% 45.24/14.87  																																							| (800)  ~ (all_0_85_85 = e0)
% 45.24/14.87  																																							| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.24/14.87  																																							|
% 45.24/14.87  																																								+-Applying beta-rule and splitting (291), into two cases.
% 45.24/14.87  																																								|-Branch one:
% 45.24/14.87  																																								| (758) all_0_90_90 = e0
% 45.24/14.87  																																								|
% 45.24/14.87  																																									| Equations (758) can reduce 762 to:
% 45.24/14.87  																																									| (311) $false
% 45.24/14.87  																																									|
% 45.24/14.87  																																									|-The branch is then unsatisfiable
% 45.24/14.87  																																								|-Branch two:
% 45.24/14.87  																																								| (762)  ~ (all_0_90_90 = e0)
% 45.24/14.87  																																								| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.24/14.87  																																								|
% 45.24/14.87  																																									+-Applying beta-rule and splitting (27), into two cases.
% 45.24/14.87  																																									|-Branch one:
% 45.24/14.87  																																									| (746) all_0_90_90 = e2
% 45.24/14.87  																																									|
% 45.24/14.87  																																										| Equations (746) can reduce 294 to:
% 45.24/14.87  																																										| (311) $false
% 45.24/14.87  																																										|
% 45.24/14.87  																																										|-The branch is then unsatisfiable
% 45.24/14.87  																																									|-Branch two:
% 45.24/14.87  																																									| (294)  ~ (all_0_90_90 = e2)
% 45.24/14.87  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.24/14.87  																																									|
% 45.24/14.87  																																										+-Applying beta-rule and splitting (2122), into two cases.
% 45.24/14.87  																																										|-Branch one:
% 45.24/14.87  																																										| (750) all_0_90_90 = e1
% 45.24/14.87  																																										|
% 45.24/14.87  																																											| Equations (750) can reduce 745 to:
% 45.24/14.87  																																											| (683)  ~ (e3 = e1)
% 45.24/14.87  																																											|
% 45.24/14.87  																																											| Simplifying 683 yields:
% 45.24/14.87  																																											| (20)  ~ (e3 = e1)
% 45.24/14.87  																																											|
% 45.24/14.87  																																											| Equations (750) can reduce 294 to:
% 45.24/14.87  																																											| (487)  ~ (e2 = e1)
% 45.24/14.87  																																											|
% 45.24/14.87  																																											| Simplifying 487 yields:
% 45.24/14.87  																																											| (243)  ~ (e2 = e1)
% 45.24/14.87  																																											|
% 45.24/14.87  																																											+-Applying beta-rule and splitting (176), into two cases.
% 45.24/14.87  																																											|-Branch one:
% 45.24/14.87  																																											| (785) all_0_95_95 = e1
% 45.24/14.87  																																											|
% 45.24/14.87  																																												| Combining equations (744,785) yields a new equation:
% 45.24/14.87  																																												| (825) e3 = e1
% 45.24/14.87  																																												|
% 45.24/14.87  																																												| Simplifying 825 yields:
% 45.24/14.87  																																												| (772) e3 = e1
% 45.24/14.87  																																												|
% 45.24/14.87  																																												| Equations (772) can reduce 20 to:
% 45.24/14.87  																																												| (311) $false
% 45.24/14.87  																																												|
% 45.24/14.87  																																												|-The branch is then unsatisfiable
% 45.24/14.87  																																											|-Branch two:
% 45.24/14.87  																																											| (680)  ~ (all_0_95_95 = e1)
% 45.24/14.87  																																											| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.24/14.87  																																											|
% 45.24/14.87  																																												+-Applying beta-rule and splitting (1455), into two cases.
% 45.24/14.87  																																												|-Branch one:
% 45.24/14.87  																																												| (1456) all_0_91_91 = e0
% 45.24/14.87  																																												|
% 45.24/14.87  																																													| Equations (1456) can reduce 571 to:
% 45.24/14.87  																																													| (906)  ~ (e3 = e0)
% 45.24/14.87  																																													|
% 45.24/14.87  																																													| Simplifying 906 yields:
% 45.24/14.87  																																													| (50)  ~ (e3 = e0)
% 45.24/14.87  																																													|
% 45.24/14.87  																																													| Equations (1456) can reduce 296 to:
% 45.24/14.87  																																													| (510)  ~ (e2 = e0)
% 45.24/14.87  																																													|
% 45.24/14.87  																																													| Simplifying 510 yields:
% 45.24/14.87  																																													| (76)  ~ (e2 = e0)
% 45.24/14.87  																																													|
% 45.24/14.87  																																													+-Applying beta-rule and splitting (1077), into two cases.
% 45.24/14.87  																																													|-Branch one:
% 45.24/14.87  																																													| (507) all_0_88_88 = e0
% 45.24/14.87  																																													|
% 45.24/14.87  																																														| Combining equations (370,507) yields a new equation:
% 45.24/14.87  																																														| (923) e2 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																														| Simplifying 923 yields:
% 45.24/14.87  																																														| (379) e2 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																														| Equations (379) can reduce 76 to:
% 45.24/14.87  																																														| (311) $false
% 45.24/14.87  																																														|
% 45.24/14.87  																																														|-The branch is then unsatisfiable
% 45.24/14.87  																																													|-Branch two:
% 45.24/14.87  																																													| (1110)  ~ (all_0_88_88 = e0)
% 45.24/14.87  																																													| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 45.24/14.87  																																													|
% 45.24/14.87  																																														+-Applying beta-rule and splitting (1111), into two cases.
% 45.24/14.87  																																														|-Branch one:
% 45.24/14.87  																																														| (604) all_0_93_93 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																															| Combining equations (604,570) yields a new equation:
% 45.24/14.87  																																															| (600) e3 = e0
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Equations (600) can reduce 50 to:
% 45.24/14.87  																																															| (311) $false
% 45.24/14.87  																																															|
% 45.24/14.87  																																															|-The branch is then unsatisfiable
% 45.24/14.87  																																														|-Branch two:
% 45.24/14.87  																																														| (509)  ~ (all_0_93_93 = e0)
% 45.24/14.87  																																														| (1121) all_0_98_98 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																															| Equations (1121) can reduce 43 to:
% 45.24/14.87  																																															| (2095)  ~ (all_0_96_96 = e0)
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Equations (1121) can reduce 1804 to:
% 45.24/14.87  																																															| (859)  ~ (e1 = e0)
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Simplifying 859 yields:
% 45.24/14.87  																																															| (264)  ~ (e1 = e0)
% 45.24/14.87  																																															|
% 45.24/14.87  																																															+-Applying beta-rule and splitting (788), into two cases.
% 45.24/14.87  																																															|-Branch one:
% 45.24/14.87  																																															| (960) all_0_96_96 = e1
% 45.24/14.87  																																															|
% 45.24/14.87  																																																| Equations (960) can reduce 2095 to:
% 45.24/14.87  																																																| (264)  ~ (e1 = e0)
% 45.24/14.87  																																																|
% 45.24/14.87  																																																| From (960) and (4960) follows:
% 45.24/14.87  																																																| (1959) op(e2, e1) = e0
% 45.24/14.87  																																																|
% 45.24/14.87  																																																| Instantiating formula (262) with e2, e1, e0, e1 and discharging atoms op(e2, e1) = e1, op(e2, e1) = e0, yields:
% 45.24/14.87  																																																| (865) e1 = e0
% 45.24/14.87  																																																|
% 45.24/14.87  																																																| Equations (865) can reduce 264 to:
% 45.24/14.87  																																																| (311) $false
% 45.24/14.87  																																																|
% 45.24/14.87  																																																|-The branch is then unsatisfiable
% 45.24/14.87  																																															|-Branch two:
% 45.24/14.87  																																															| (1479)  ~ (all_0_96_96 = e1)
% 45.24/14.87  																																															| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.24/14.87  																																															|
% 45.24/14.87  																																																+-Applying beta-rule and splitting (2126), into two cases.
% 45.24/14.87  																																																|-Branch one:
% 45.24/14.87  																																																| (542) all_0_97_97 = e1
% 45.24/14.87  																																																|
% 45.24/14.87  																																																	| Combining equations (538,542) yields a new equation:
% 45.24/14.87  																																																	| (408) e2 = e1
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	| Simplifying 408 yields:
% 45.24/14.87  																																																	| (385) e2 = e1
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	| Equations (385) can reduce 243 to:
% 45.24/14.87  																																																	| (311) $false
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	|-The branch is then unsatisfiable
% 45.24/14.87  																																																|-Branch two:
% 45.24/14.87  																																																| (486)  ~ (all_0_97_97 = e1)
% 45.24/14.87  																																																| (1543) all_0_98_98 = e1
% 45.24/14.87  																																																|
% 45.24/14.87  																																																	| Combining equations (1543,1121) yields a new equation:
% 45.24/14.87  																																																	| (1107) e1 = e0
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	| Simplifying 1107 yields:
% 45.24/14.87  																																																	| (865) e1 = e0
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	| Equations (865) can reduce 264 to:
% 45.24/14.87  																																																	| (311) $false
% 45.24/14.87  																																																	|
% 45.24/14.87  																																																	|-The branch is then unsatisfiable
% 45.24/14.87  																																												|-Branch two:
% 45.24/14.87  																																												| (1487)  ~ (all_0_91_91 = e0)
% 45.24/14.87  																																												| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.24/14.87  																																												|
% 45.24/14.87  																																													+-Applying beta-rule and splitting (1400), into two cases.
% 45.24/14.87  																																													|-Branch one:
% 45.24/14.87  																																													| (1456) all_0_91_91 = e0
% 45.24/14.87  																																													|
% 45.24/14.87  																																														| Equations (1456) can reduce 1487 to:
% 45.24/14.87  																																														| (311) $false
% 45.24/14.87  																																														|
% 45.24/14.87  																																														|-The branch is then unsatisfiable
% 45.24/14.87  																																													|-Branch two:
% 45.24/14.87  																																													| (1487)  ~ (all_0_91_91 = e0)
% 45.24/14.87  																																													| (1837) all_0_96_96 = e0
% 45.24/14.87  																																													|
% 45.24/14.87  																																														| Equations (1837) can reduce 115 to:
% 45.24/14.87  																																														| (904)  ~ (e4 = e0)
% 45.24/14.87  																																														|
% 45.24/14.87  																																														| Simplifying 904 yields:
% 45.24/14.87  																																														| (23)  ~ (e4 = e0)
% 45.24/14.87  																																														|
% 45.24/14.87  																																														| Equations (1837) can reduce 964 to:
% 45.24/14.87  																																														| (906)  ~ (e3 = e0)
% 45.24/14.87  																																														|
% 45.24/14.87  																																														| Simplifying 906 yields:
% 45.24/14.87  																																														| (50)  ~ (e3 = e0)
% 45.24/14.87  																																														|
% 45.24/14.87  																																														+-Applying beta-rule and splitting (1488), into two cases.
% 45.24/14.87  																																														|-Branch one:
% 45.24/14.87  																																														| (942) all_0_92_92 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																															| Combining equations (442,942) yields a new equation:
% 45.24/14.87  																																															| (911) e4 = e0
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Simplifying 911 yields:
% 45.24/14.87  																																															| (912) e4 = e0
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Equations (912) can reduce 23 to:
% 45.24/14.87  																																															| (311) $false
% 45.24/14.87  																																															|
% 45.24/14.87  																																															|-The branch is then unsatisfiable
% 45.24/14.87  																																														|-Branch two:
% 45.24/14.87  																																														| (946)  ~ (all_0_92_92 = e0)
% 45.24/14.87  																																														| (604) all_0_93_93 = e0
% 45.24/14.87  																																														|
% 45.24/14.87  																																															| Combining equations (570,604) yields a new equation:
% 45.24/14.87  																																															| (599) e3 = e0
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Simplifying 599 yields:
% 45.24/14.87  																																															| (600) e3 = e0
% 45.24/14.87  																																															|
% 45.24/14.87  																																															| Equations (600) can reduce 50 to:
% 45.24/14.87  																																															| (311) $false
% 45.24/14.87  																																															|
% 45.24/14.87  																																															|-The branch is then unsatisfiable
% 45.24/14.87  																																										|-Branch two:
% 45.24/14.87  																																										| (678)  ~ (all_0_90_90 = e1)
% 45.24/14.87  																																										| (785) all_0_95_95 = e1
% 45.24/14.87  																																										|
% 45.24/14.87  																																											| Combining equations (785,744) yields a new equation:
% 45.24/14.87  																																											| (772) e3 = e1
% 45.24/14.87  																																											|
% 45.24/14.87  																																											| Equations (772) can reduce 20 to:
% 45.24/14.87  																																											| (311) $false
% 45.24/14.87  																																											|
% 45.24/14.87  																																											|-The branch is then unsatisfiable
% 45.24/14.87  																																				|-Branch two:
% 45.24/14.87  																																				| (765)  ~ (all_0_95_95 = e3)
% 45.24/14.87  																																				| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.24/14.87  																																				|
% 45.24/14.87  																																					+-Applying beta-rule and splitting (766), into two cases.
% 45.24/14.87  																																					|-Branch one:
% 45.24/14.87  																																					| (778) all_0_96_96 = e3
% 45.24/14.87  																																					|
% 45.24/14.87  																																						| Equations (778) can reduce 964 to:
% 45.24/14.87  																																						| (311) $false
% 45.24/14.87  																																						|
% 45.24/14.87  																																						|-The branch is then unsatisfiable
% 45.24/14.87  																																					|-Branch two:
% 45.24/14.87  																																					| (964)  ~ (all_0_96_96 = e3)
% 45.24/14.87  																																					| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.24/14.87  																																					|
% 45.24/14.87  																																						+-Applying beta-rule and splitting (965), into two cases.
% 45.24/14.87  																																						|-Branch one:
% 45.24/14.87  																																						| (556) all_0_97_97 = e3
% 45.24/14.87  																																						|
% 45.24/14.87  																																							| Combining equations (538,556) yields a new equation:
% 45.24/14.87  																																							| (548) e3 = e2
% 45.24/14.87  																																							|
% 45.24/14.87  																																							| Equations (548) can reduce 169 to:
% 45.24/14.87  																																							| (311) $false
% 45.24/14.87  																																							|
% 45.24/14.87  																																							|-The branch is then unsatisfiable
% 45.24/14.87  																																						|-Branch two:
% 45.24/14.87  																																						| (428)  ~ (all_0_97_97 = e3)
% 45.24/14.87  																																						| (969) all_0_98_98 = e3
% 45.24/14.87  																																						|
% 45.24/14.87  																																							| Equations (969) can reduce 1519 to:
% 45.24/14.87  																																							| (311) $false
% 45.24/14.87  																																							|
% 45.24/14.87  																																							|-The branch is then unsatisfiable
% 45.24/14.87  																																		|-Branch two:
% 45.24/14.87  																																		| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.24/14.87  																																		|
% 45.24/14.87  																																			| Applying alpha-rule on (590) yields:
% 45.24/14.87  																																			| (591) all_0_64_64 = e2
% 45.24/14.87  																																			| (592)  ~ (all_0_65_65 = e1)
% 45.24/14.87  																																			|
% 45.24/14.87  																																			| Combining equations (591,575) yields a new equation:
% 45.24/14.87  																																			| (310) e4 = e2
% 45.24/14.87  																																			|
% 45.24/14.87  																																			| Equations (310) can reduce 79 to:
% 45.24/14.87  																																			| (311) $false
% 45.24/14.87  																																			|
% 45.24/14.87  																																			|-The branch is then unsatisfiable
% 45.24/14.87  																																	|-Branch two:
% 45.24/14.87  																																	| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.24/14.87  																																	|
% 45.24/14.87  																																		| Applying alpha-rule on (596) yields:
% 45.24/14.87  																																		| (597) all_0_67_67 = e0
% 45.24/14.87  																																		| (598)  ~ (all_0_68_68 = e1)
% 45.24/14.87  																																		|
% 45.24/14.87  																																		| Combining equations (4077,597) yields a new equation:
% 45.24/14.87  																																		| (4610) all_0_91_91 = e0
% 45.24/14.87  																																		|
% 45.24/14.87  																																		| Simplifying 4610 yields:
% 45.24/14.87  																																		| (1456) all_0_91_91 = e0
% 45.24/14.87  																																		|
% 45.24/14.87  																																		| Equations (1368) can reduce 598 to:
% 45.24/14.87  																																		| (1479)  ~ (all_0_96_96 = e1)
% 45.24/14.87  																																		|
% 45.24/14.87  																																		+-Applying beta-rule and splitting (462), into two cases.
% 45.24/14.87  																																		|-Branch one:
% 45.24/14.87  																																		| (801) all_0_91_91 = e1
% 45.24/14.87  																																		|
% 45.24/14.87  																																			| Combining equations (801,1456) yields a new equation:
% 45.24/14.87  																																			| (1107) e1 = e0
% 45.24/14.87  																																			|
% 45.24/14.87  																																			| Simplifying 1107 yields:
% 45.24/14.87  																																			| (865) e1 = e0
% 45.24/14.87  																																			|
% 45.24/14.87  																																			| Equations (865) can reduce 264 to:
% 45.24/14.87  																																			| (311) $false
% 45.24/14.87  																																			|
% 45.24/14.87  																																			|-The branch is then unsatisfiable
% 45.24/14.87  																																		|-Branch two:
% 45.24/14.87  																																		| (959)  ~ (all_0_91_91 = e1)
% 45.24/14.87  																																		| (960) all_0_96_96 = e1
% 45.24/14.87  																																		|
% 45.24/14.87  																																			| Equations (960) can reduce 1479 to:
% 45.24/14.87  																																			| (311) $false
% 45.24/14.87  																																			|
% 45.24/14.87  																																			|-The branch is then unsatisfiable
% 45.24/14.87  																														|-Branch two:
% 45.24/14.87  																														| (779)  ~ (all_0_83_83 = e3)
% 45.24/14.87  																														| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.24/14.87  																														|
% 45.24/14.87  																															+-Applying beta-rule and splitting (1594), into two cases.
% 45.24/14.87  																															|-Branch one:
% 45.24/14.87  																															| (1265) all_0_84_84 = e3
% 45.24/14.87  																															|
% 45.24/14.87  																																| Combining equations (916,1265) yields a new equation:
% 45.24/14.87  																																| (600) e3 = e0
% 45.24/14.87  																																|
% 45.24/14.87  																																| Equations (600) can reduce 50 to:
% 45.24/14.87  																																| (311) $false
% 45.24/14.87  																																|
% 45.24/14.87  																																|-The branch is then unsatisfiable
% 45.24/14.87  																															|-Branch two:
% 45.24/14.87  																															| (422)  ~ (all_0_84_84 = e3)
% 45.24/14.88  																															| (804) all_0_85_85 = e3
% 45.24/14.88  																															|
% 45.24/14.88  																																| Combining equations (493,804) yields a new equation:
% 45.24/14.88  																																| (790) e4 = e3
% 45.24/14.88  																																|
% 45.24/14.88  																																| Simplifying 790 yields:
% 45.24/14.88  																																| (434) e4 = e3
% 45.24/14.88  																																|
% 45.24/14.88  																																| Equations (434) can reduce 177 to:
% 45.24/14.88  																																| (311) $false
% 45.24/14.88  																																|
% 45.24/14.88  																																|-The branch is then unsatisfiable
% 45.24/14.88  																												|-Branch two:
% 45.24/14.88  																												| (527)  ~ (all_0_97_97 = e2)
% 45.24/14.88  																												| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 45.24/14.88  																												|
% 45.24/14.88  																													+-Applying beta-rule and splitting (541), into two cases.
% 45.24/14.88  																													|-Branch one:
% 45.24/14.88  																													| (542) all_0_97_97 = e1
% 45.24/14.88  																													|
% 45.24/14.88  																														| Equations (542) can reduce 486 to:
% 45.24/14.88  																														| (311) $false
% 45.24/14.88  																														|
% 45.24/14.88  																														|-The branch is then unsatisfiable
% 45.24/14.88  																													|-Branch two:
% 45.24/14.88  																													| (486)  ~ (all_0_97_97 = e1)
% 45.24/14.88  																													| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 45.24/14.88  																													|
% 45.24/14.88  																														+-Applying beta-rule and splitting (545), into two cases.
% 45.24/14.88  																														|-Branch one:
% 45.24/14.88  																														| (556) all_0_97_97 = e3
% 45.24/14.88  																														|
% 45.24/14.88  																															| Equations (556) can reduce 428 to:
% 45.24/14.88  																															| (311) $false
% 45.24/14.88  																															|
% 45.24/14.88  																															|-The branch is then unsatisfiable
% 45.24/14.88  																														|-Branch two:
% 45.24/14.88  																														| (428)  ~ (all_0_97_97 = e3)
% 45.24/14.88  																														| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 45.24/14.88  																														|
% 45.24/14.88  																															+-Applying beta-rule and splitting (559), into two cases.
% 45.24/14.88  																															|-Branch one:
% 45.24/14.88  																															| (560) all_0_97_97 = e0
% 45.24/14.88  																															|
% 45.24/14.88  																																| Equations (560) can reduce 609 to:
% 45.24/14.88  																																| (311) $false
% 45.24/14.88  																																|
% 45.24/14.88  																																|-The branch is then unsatisfiable
% 45.24/14.88  																															|-Branch two:
% 45.24/14.88  																															| (609)  ~ (all_0_97_97 = e0)
% 45.24/14.88  																															| (610) all_0_97_97 = e4
% 45.24/14.88  																															|
% 45.24/14.88  																																| Equations (610) can reduce 319 to:
% 45.24/14.88  																																| (311) $false
% 45.24/14.88  																																|
% 45.24/14.88  																																|-The branch is then unsatisfiable
% 45.24/14.88  																										|-Branch two:
% 45.24/14.88  																										| (628)  ~ (all_0_81_81 = e1)
% 45.24/14.88  																										| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 45.24/14.88  																										|
% 45.24/14.88  																											+-Applying beta-rule and splitting (2559), into two cases.
% 45.24/14.88  																											|-Branch one:
% 45.24/14.88  																											| (493) all_0_85_85 = e4
% 45.24/14.88  																											|
% 45.24/14.88  																												| Equations (493) can reduce 118 to:
% 45.24/14.88  																												| (634)  ~ (all_0_81_81 = e4)
% 45.24/14.88  																												|
% 45.24/14.88  																												+-Applying beta-rule and splitting (629), into two cases.
% 45.24/14.88  																												|-Branch one:
% 45.24/14.88  																												| (635) all_0_81_81 = e3
% 45.24/14.88  																												|
% 45.24/14.88  																													| Equations (635) can reduce 420 to:
% 45.24/14.88  																													| (311) $false
% 45.24/14.88  																													|
% 45.24/14.88  																													|-The branch is then unsatisfiable
% 45.24/14.88  																												|-Branch two:
% 45.24/14.88  																												| (420)  ~ (all_0_81_81 = e3)
% 45.24/14.88  																												| (638) all_0_81_81 = e4
% 45.24/14.88  																												|
% 45.24/14.88  																													| Equations (638) can reduce 634 to:
% 45.24/14.88  																													| (311) $false
% 45.24/14.88  																													|
% 45.24/14.88  																													|-The branch is then unsatisfiable
% 45.24/14.88  																											|-Branch two:
% 45.24/14.88  																											| (648)  ~ (all_0_85_85 = e4)
% 45.24/14.88  																											| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 45.24/14.88  																											|
% 45.24/14.88  																												+-Applying beta-rule and splitting (2576), into two cases.
% 45.24/14.88  																												|-Branch one:
% 45.24/14.88  																												| (607) all_0_93_93 = e4
% 45.24/14.88  																												|
% 45.24/14.88  																													| Equations (607) can reduce 496 to:
% 45.24/14.88  																													| (311) $false
% 45.24/14.88  																													|
% 45.24/14.88  																													|-The branch is then unsatisfiable
% 45.24/14.88  																												|-Branch two:
% 45.24/14.88  																												| (496)  ~ (all_0_93_93 = e4)
% 45.24/14.88  																												| (2650) all_0_98_98 = e4
% 45.24/14.88  																												|
% 45.24/14.88  																													| Equations (2650) can reduce 321 to:
% 45.24/14.88  																													| (311) $false
% 45.24/14.88  																													|
% 45.24/14.88  																													|-The branch is then unsatisfiable
% 45.24/14.88  																									|-Branch two:
% 45.24/14.88  																									| (919)  ~ (all_0_84_84 = e0)
% 45.24/14.88  																									| (438) all_0_84_84 = e4
% 45.24/14.88  																									|
% 45.24/14.88  																										| Equations (438) can reduce 417 to:
% 45.24/14.88  																										| (311) $false
% 45.24/14.88  																										|
% 45.24/14.88  																										|-The branch is then unsatisfiable
% 45.24/14.88  																						|-Branch two:
% 45.24/14.88  																						| (640)  ~ (all_0_78_78 = e4)
% 45.24/14.88  																						| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.24/14.88  																						|
% 45.24/14.88  																							+-Applying beta-rule and splitting (3625), into two cases.
% 45.24/14.88  																							|-Branch one:
% 45.24/14.88  																							| (469) all_0_82_82 = e4
% 45.24/14.88  																							|
% 45.24/14.88  																								| Combining equations (530,469) yields a new equation:
% 45.24/14.88  																								| (310) e4 = e2
% 45.24/14.88  																								|
% 45.24/14.88  																								| Equations (310) can reduce 79 to:
% 45.24/14.88  																								| (311) $false
% 45.24/14.88  																								|
% 45.24/14.88  																								|-The branch is then unsatisfiable
% 45.24/14.88  																							|-Branch two:
% 45.24/14.88  																							| (465)  ~ (all_0_82_82 = e4)
% 45.24/14.88  																							| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.24/14.88  																							|
% 45.24/14.88  																								+-Applying beta-rule and splitting (3629), into two cases.
% 45.24/14.88  																								|-Branch one:
% 45.24/14.88  																								| (583) all_0_90_90 = e4
% 45.24/14.88  																								|
% 45.24/14.88  																									| Equations (583) can reduce 467 to:
% 45.24/14.88  																									| (311) $false
% 45.24/14.88  																									|
% 45.24/14.88  																									|-The branch is then unsatisfiable
% 45.24/14.88  																								|-Branch two:
% 45.24/14.88  																								| (467)  ~ (all_0_90_90 = e4)
% 45.24/14.88  																								| (894) all_0_95_95 = e4
% 45.24/14.88  																								|
% 45.24/14.88  																									| Equations (894) can reduce 315 to:
% 45.24/14.88  																									| (311) $false
% 45.24/14.88  																									|
% 45.24/14.88  																									|-The branch is then unsatisfiable
% 45.24/14.88  																		|-Branch two:
% 45.24/14.88  																		| (347)  ~ (all_0_82_82 = e2)
% 45.24/14.88  																		| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 45.24/14.88  																		|
% 45.24/14.88  																			+-Applying beta-rule and splitting (533), into two cases.
% 45.24/14.88  																			|-Branch one:
% 45.24/14.88  																			| (453) all_0_83_83 = e2
% 45.24/14.88  																			|
% 45.24/14.88  																				| Equations (453) can reduce 398 to:
% 45.24/14.88  																				| (311) $false
% 45.24/14.88  																				|
% 45.24/14.88  																				|-The branch is then unsatisfiable
% 45.24/14.88  																			|-Branch two:
% 45.24/14.88  																			| (398)  ~ (all_0_83_83 = e2)
% 45.24/14.88  																			| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 45.24/14.88  																			|
% 45.24/14.88  																				+-Applying beta-rule and splitting (537), into two cases.
% 45.24/14.88  																				|-Branch one:
% 45.24/14.88  																				| (552) all_0_84_84 = e2
% 45.24/14.88  																				|
% 45.24/14.88  																					| Equations (552) can reduce 612 to:
% 45.24/14.88  																					| (311) $false
% 45.24/14.88  																					|
% 45.24/14.88  																					|-The branch is then unsatisfiable
% 45.24/14.88  																				|-Branch two:
% 45.24/14.88  																				| (612)  ~ (all_0_84_84 = e2)
% 45.24/14.88  																				| (512) all_0_85_85 = e2
% 45.24/14.88  																				|
% 45.24/14.88  																					| Equations (512) can reduce 515 to:
% 45.24/14.88  																					| (311) $false
% 45.24/14.88  																					|
% 45.24/14.88  																					|-The branch is then unsatisfiable
% 45.24/14.88  														|-Branch two:
% 45.24/14.88  														| (1619)  ~ (all_0_92_92 = e4)
% 45.24/14.88  														| (610) all_0_97_97 = e4
% 45.24/14.88  														|
% 45.24/14.88  															| Equations (610) can reduce 319 to:
% 45.24/14.88  															| (311) $false
% 45.24/14.88  															|
% 45.24/14.88  															|-The branch is then unsatisfiable
% 45.24/14.88  									|-Branch two:
% 45.24/14.88  									| (1622)  ~ (all_0_79_79 = e2)
% 45.24/14.88  									| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 45.24/14.88  									|
% 45.24/14.88  										+-Applying beta-rule and splitting (101), into two cases.
% 45.24/14.88  										|-Branch one:
% 45.24/14.88  										| (400) all_0_78_78 = e2
% 45.24/14.88  										|
% 45.24/14.88  											| Equations (400) can reduce 66 to:
% 45.24/14.88  											| (9970)  ~ (all_0_79_79 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Simplifying 9970 yields:
% 45.24/14.88  											| (1622)  ~ (all_0_79_79 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Equations (400) can reduce 67 to:
% 45.24/14.88  											| (393)  ~ (all_0_80_80 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Simplifying 393 yields:
% 45.24/14.88  											| (394)  ~ (all_0_80_80 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Equations (400) can reduce 278 to:
% 45.24/14.88  											| (395)  ~ (all_0_81_81 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Simplifying 395 yields:
% 45.24/14.88  											| (396)  ~ (all_0_81_81 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Equations (400) can reduce 193 to:
% 45.24/14.88  											| (9974)  ~ (all_0_82_82 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Simplifying 9974 yields:
% 45.24/14.88  											| (347)  ~ (all_0_82_82 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Equations (400) can reduce 85 to:
% 45.24/14.88  											| (293)  ~ (all_0_90_90 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Simplifying 293 yields:
% 45.24/14.88  											| (294)  ~ (all_0_90_90 = e2)
% 45.24/14.88  											|
% 45.24/14.88  											| Equations (400) can reduce 86 to:
% 45.24/14.88  											| (76)  ~ (e2 = e0)
% 45.24/14.88  											|
% 45.24/14.88  											| From (400) and (37) follows:
% 45.24/14.88  											| (22935) op(e2, e4) = all_0_0_0
% 45.24/14.88  											|
% 45.24/14.88  											| From (400) and (136) follows:
% 45.24/14.88  											| (22936) op(e2, e3) = all_0_1_1
% 45.24/14.88  											|
% 45.24/14.88  											| From (400) and (263) follows:
% 45.24/14.88  											| (9982) op(e4, e3) = e2
% 45.24/14.88  											|
% 45.24/14.88  											| From (400) and (138) follows:
% 45.24/14.88  											| (9983) op(e3, e2) = all_0_43_43
% 45.24/14.88  											|
% 45.24/14.88  											| Instantiating formula (262) with e3, e2, all_0_43_43, all_0_83_83 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = all_0_83_83, yields:
% 45.24/14.88  											| (9985) all_0_43_43 = all_0_83_83
% 45.24/14.88  											|
% 45.24/14.88  											| Instantiating formula (262) with e2, e4, all_0_0_0, e3 and discharging atoms op(e2, e4) = all_0_0_0, op(e2, e4) = e3, yields:
% 45.24/14.89  											| (22970) all_0_0_0 = e3
% 45.24/14.89  											|
% 45.24/14.89  											| Instantiating formula (262) with e2, e3, all_0_1_1, e0 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = e0, yields:
% 45.24/14.89  											| (25474) all_0_1_1 = e0
% 45.24/14.89  											|
% 45.24/14.89  											| From (22970) and (22935) follows:
% 45.24/14.89  											| (172) op(e2, e4) = e3
% 45.24/14.89  											|
% 45.24/14.89  											| From (25474) and (22936) follows:
% 45.24/14.89  											| (5343) op(e2, e3) = e0
% 45.24/14.89  											|
% 45.24/14.89  											+-Applying beta-rule and splitting (248), into two cases.
% 45.24/14.89  											|-Branch one:
% 45.24/14.89  											| (390) all_0_79_79 = e2
% 45.24/14.89  											|
% 45.24/14.89  												| Equations (390) can reduce 1622 to:
% 45.24/14.89  												| (311) $false
% 45.24/14.89  												|
% 45.24/14.89  												|-The branch is then unsatisfiable
% 45.24/14.89  											|-Branch two:
% 45.24/14.89  											| (1622)  ~ (all_0_79_79 = e2)
% 45.24/14.89  											| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 45.24/14.89  											|
% 45.24/14.89  												+-Applying beta-rule and splitting (52), into two cases.
% 45.24/14.89  												|-Branch one:
% 45.24/14.89  												| (453) all_0_83_83 = e2
% 45.24/14.89  												|
% 45.39/14.89  													| Combining equations (453,9985) yields a new equation:
% 45.39/14.89  													| (689) all_0_43_43 = e2
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 272 to:
% 45.39/14.89  													| (1622)  ~ (all_0_79_79 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 116 to:
% 45.39/14.89  													| (347)  ~ (all_0_82_82 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 223 to:
% 45.39/14.89  													| (1631)  ~ (all_0_84_84 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Simplifying 1631 yields:
% 45.39/14.89  													| (612)  ~ (all_0_84_84 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 226 to:
% 45.39/14.89  													| (691)  ~ (all_0_85_85 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Simplifying 691 yields:
% 45.39/14.89  													| (515)  ~ (all_0_85_85 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 146 to:
% 45.39/14.89  													| (295)  ~ (all_0_91_91 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Simplifying 295 yields:
% 45.39/14.89  													| (296)  ~ (all_0_91_91 = e2)
% 45.39/14.89  													|
% 45.39/14.89  													| Equations (453) can reduce 113 to:
% 45.39/14.89  													| (243)  ~ (e2 = e1)
% 45.39/14.89  													|
% 45.39/14.89  													| From (453) and (29) follows:
% 45.39/14.89  													| (1641) op(e2, e3) = all_0_9_9
% 45.39/14.89  													|
% 45.39/14.89  													| From (453) and (234) follows:
% 45.39/14.89  													| (1642) op(e2, e2) = all_0_10_10
% 45.39/14.89  													|
% 45.39/14.89  													| From (453) and (206) follows:
% 45.39/14.89  													| (1643) op(e2, e2) = all_0_54_54
% 45.39/14.89  													|
% 45.39/14.89  													+-Applying beta-rule and splitting (192), into two cases.
% 45.39/14.89  													|-Branch one:
% 45.39/14.89  													| (546) all_0_80_80 = e2
% 45.39/14.89  													|
% 45.39/14.89  														| Equations (546) can reduce 394 to:
% 45.39/14.89  														| (311) $false
% 45.39/14.89  														|
% 45.39/14.89  														|-The branch is then unsatisfiable
% 45.39/14.89  													|-Branch two:
% 45.39/14.89  													| (394)  ~ (all_0_80_80 = e2)
% 45.39/14.89  													| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 45.39/14.89  													|
% 45.39/14.89  														+-Applying beta-rule and splitting (551), into two cases.
% 45.39/14.89  														|-Branch one:
% 45.39/14.89  														| (552) all_0_84_84 = e2
% 45.39/14.89  														|
% 45.39/14.89  															| Equations (552) can reduce 612 to:
% 45.39/14.89  															| (311) $false
% 45.39/14.89  															|
% 45.39/14.89  															|-The branch is then unsatisfiable
% 45.39/14.89  														|-Branch two:
% 45.39/14.89  														| (612)  ~ (all_0_84_84 = e2)
% 45.39/14.89  														| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 45.39/14.89  														|
% 45.39/14.89  															+-Applying beta-rule and splitting (613), into two cases.
% 45.39/14.89  															|-Branch one:
% 45.39/14.89  															| (374) all_0_87_87 = e2
% 45.39/14.89  															|
% 45.39/14.89  																| Combining equations (374,482) yields a new equation:
% 45.39/14.89  																| (408) e2 = e1
% 45.39/14.89  																|
% 45.39/14.89  																| Simplifying 408 yields:
% 45.39/14.89  																| (385) e2 = e1
% 45.39/14.89  																|
% 45.39/14.89  																| Equations (385) can reduce 243 to:
% 45.39/14.89  																| (311) $false
% 45.39/14.89  																|
% 45.39/14.89  																|-The branch is then unsatisfiable
% 45.39/14.89  															|-Branch two:
% 45.39/14.89  															| (349)  ~ (all_0_87_87 = e2)
% 45.39/14.89  															| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 45.39/14.89  															|
% 45.39/14.89  																+-Applying beta-rule and splitting (1342), into two cases.
% 45.39/14.89  																|-Branch one:
% 45.39/14.89  																| (1343) all_0_92_92 = e2
% 45.39/14.89  																|
% 45.39/14.89  																	| Equations (1343) can reduce 298 to:
% 45.39/14.89  																	| (311) $false
% 45.39/14.89  																	|
% 45.39/14.89  																	|-The branch is then unsatisfiable
% 45.39/14.89  																|-Branch two:
% 45.39/14.89  																| (298)  ~ (all_0_92_92 = e2)
% 45.39/14.89  																| (538) all_0_97_97 = e2
% 45.39/14.89  																|
% 45.39/14.89  																	| Equations (538) can reduce 202 to:
% 45.39/14.89  																	| (394)  ~ (all_0_80_80 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 195 to:
% 45.39/14.89  																	| (612)  ~ (all_0_84_84 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 258 to:
% 45.39/14.89  																	| (298)  ~ (all_0_92_92 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 105 to:
% 45.39/14.89  																	| (355)  ~ (all_0_95_95 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 22 to:
% 45.39/14.89  																	| (1638)  ~ (all_0_96_96 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 148 to:
% 45.39/14.89  																	| (1348)  ~ (all_0_98_98 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Simplifying 1348 yields:
% 45.39/14.89  																	| (1349)  ~ (all_0_98_98 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 319 to:
% 45.39/14.89  																	| (528)  ~ (e4 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Simplifying 528 yields:
% 45.39/14.89  																	| (79)  ~ (e4 = e2)
% 45.39/14.89  																	|
% 45.39/14.89  																	| Equations (538) can reduce 486 to:
% 45.39/14.89  																	| (243)  ~ (e2 = e1)
% 45.39/14.89  																	|
% 45.39/14.89  																	| From (538) and (260) follows:
% 45.39/14.89  																	| (25523) op(e2, e1) = all_0_37_37
% 45.39/14.89  																	|
% 45.39/14.89  																	| From (538) and (213) follows:
% 45.39/14.89  																	| (4069) op(e2, e0) = all_0_36_36
% 45.39/14.89  																	|
% 45.39/14.89  																	| From (538) and (252) follows:
% 45.39/14.89  																	| (4070) op(e1, e2) = all_0_67_67
% 45.39/14.89  																	|
% 45.39/14.89  																	| From (538) and (69) follows:
% 45.39/14.89  																	| (1352) op(e0, e2) = all_0_68_68
% 45.39/14.89  																	|
% 45.39/14.89  																	| From (538) and (147) follows:
% 45.39/14.89  																	| (2838) op(e0, e1) = e2
% 45.39/14.89  																	|
% 45.39/14.89  																	| Instantiating formula (262) with e2, e3, all_0_9_9, e0 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e0, yields:
% 45.39/14.89  																	| (25528) all_0_9_9 = e0
% 45.39/14.89  																	|
% 45.39/14.89  																	| Instantiating formula (262) with e2, e2, all_0_10_10, e4 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = e4, yields:
% 45.39/14.89  																	| (1645) all_0_10_10 = e4
% 45.39/14.89  																	|
% 45.39/14.89  																	| Instantiating formula (262) with e2, e2, all_0_54_54, all_0_10_10 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = all_0_54_54, yields:
% 45.39/14.89  																	| (1646) all_0_10_10 = all_0_54_54
% 45.39/14.89  																	|
% 45.39/14.89  																	| Instantiating formula (262) with e2, e1, all_0_37_37, e1 and discharging atoms op(e2, e1) = all_0_37_37, op(e2, e1) = e1, yields:
% 45.39/14.90  																	| (25531) all_0_37_37 = e1
% 45.39/14.90  																	|
% 45.39/14.90  																	| Instantiating formula (262) with e2, e0, all_0_36_36, e2 and discharging atoms op(e2, e0) = all_0_36_36, op(e2, e0) = e2, yields:
% 45.39/14.90  																	| (25532) all_0_36_36 = e2
% 45.39/14.90  																	|
% 45.39/14.90  																	| Instantiating formula (262) with e1, e2, all_0_67_67, all_0_91_91 and discharging atoms op(e1, e2) = all_0_67_67, op(e1, e2) = all_0_91_91, yields:
% 45.39/14.90  																	| (4077) all_0_67_67 = all_0_91_91
% 45.39/14.90  																	|
% 45.39/14.90  																	| Instantiating formula (262) with e0, e2, all_0_68_68, all_0_96_96 and discharging atoms op(e0, e2) = all_0_68_68, op(e0, e2) = all_0_96_96, yields:
% 45.39/14.90  																	| (1368) all_0_68_68 = all_0_96_96
% 45.39/14.90  																	|
% 45.39/14.90  																	| Combining equations (1646,1645) yields a new equation:
% 45.39/14.90  																	| (25535) all_0_54_54 = e4
% 45.39/14.90  																	|
% 45.39/14.90  																	| Simplifying 25535 yields:
% 45.39/14.90  																	| (1647) all_0_54_54 = e4
% 45.39/14.90  																	|
% 45.39/14.90  																	| From (25528) and (1641) follows:
% 45.39/14.90  																	| (5343) op(e2, e3) = e0
% 45.39/14.90  																	|
% 45.39/14.90  																	| From (25531) and (25523) follows:
% 45.39/14.90  																	| (13258) op(e2, e1) = e1
% 45.39/14.90  																	|
% 45.39/14.90  																	| From (25532) and (4069) follows:
% 45.39/14.90  																	| (18818) op(e2, e0) = e2
% 45.39/14.90  																	|
% 45.39/14.90  																	+-Applying beta-rule and splitting (219), into two cases.
% 45.39/14.90  																	|-Branch one:
% 45.39/14.90  																	| (798) all_0_83_83 = e0
% 45.39/14.90  																	|
% 45.39/14.90  																		| Combining equations (453,798) yields a new equation:
% 45.39/14.90  																		| (923) e2 = e0
% 45.39/14.90  																		|
% 45.39/14.90  																		| Simplifying 923 yields:
% 45.39/14.90  																		| (379) e2 = e0
% 45.39/14.90  																		|
% 45.39/14.90  																		| Equations (379) can reduce 76 to:
% 45.39/14.90  																		| (311) $false
% 45.39/14.90  																		|
% 45.39/14.90  																		|-The branch is then unsatisfiable
% 45.39/14.90  																	|-Branch two:
% 45.39/14.90  																	| (1314)  ~ (all_0_83_83 = e0)
% 45.39/14.90  																	| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 45.39/14.90  																	|
% 45.39/14.90  																		| Equations (453) can reduce 1314 to:
% 45.39/14.90  																		| (76)  ~ (e2 = e0)
% 45.39/14.90  																		|
% 45.39/14.90  																		+-Applying beta-rule and splitting (56), into two cases.
% 45.39/14.90  																		|-Branch one:
% 45.39/14.90  																		| (463) all_0_78_78 = e4
% 45.39/14.90  																		|
% 45.39/14.90  																			| Combining equations (400,463) yields a new equation:
% 45.39/14.90  																			| (310) e4 = e2
% 45.39/14.90  																			|
% 45.39/14.90  																			| Equations (310) can reduce 79 to:
% 45.39/14.90  																			| (311) $false
% 45.39/14.90  																			|
% 45.39/14.90  																			|-The branch is then unsatisfiable
% 45.39/14.90  																		|-Branch two:
% 45.39/14.90  																		| (640)  ~ (all_0_78_78 = e4)
% 45.39/14.90  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 45.39/14.90  																		|
% 45.39/14.90  																			| Equations (400) can reduce 640 to:
% 45.39/14.90  																			| (528)  ~ (e4 = e2)
% 45.39/14.90  																			|
% 45.39/14.90  																			| Simplifying 528 yields:
% 45.39/14.90  																			| (79)  ~ (e4 = e2)
% 45.39/14.90  																			|
% 45.39/14.90  																			+-Applying beta-rule and splitting (186), into two cases.
% 45.39/14.90  																			|-Branch one:
% 45.39/14.90  																			| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 45.39/14.90  																			|
% 45.39/14.90  																				+-Applying beta-rule and splitting (726), into two cases.
% 45.39/14.90  																				|-Branch one:
% 45.39/14.90  																				| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 45.39/14.90  																				|
% 45.39/14.90  																					+-Applying beta-rule and splitting (727), into two cases.
% 45.39/14.90  																					|-Branch one:
% 45.39/14.90  																					| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 45.39/14.90  																					|
% 45.39/14.90  																						| Applying alpha-rule on (728) yields:
% 45.39/14.90  																						| (729) all_0_43_43 = e4
% 45.39/14.90  																						| (730)  ~ (all_0_44_44 = e3)
% 45.39/14.90  																						|
% 45.39/14.90  																						| Combining equations (729,689) yields a new equation:
% 45.39/14.90  																						| (309) e4 = e2
% 45.39/14.90  																						|
% 45.39/14.90  																						| Simplifying 309 yields:
% 45.39/14.90  																						| (310) e4 = e2
% 45.39/14.90  																						|
% 45.39/14.90  																						| Equations (310) can reduce 79 to:
% 45.39/14.90  																						| (311) $false
% 45.39/14.90  																						|
% 45.39/14.90  																						|-The branch is then unsatisfiable
% 45.39/14.90  																					|-Branch two:
% 45.39/14.90  																					| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 45.39/14.90  																					|
% 45.39/14.90  																						| Applying alpha-rule on (734) yields:
% 45.39/14.90  																						| (735) all_0_46_46 = e2
% 45.39/14.90  																						| (736)  ~ (all_0_47_47 = e3)
% 45.39/14.90  																						|
% 45.39/14.90  																						| Combining equations (9576,735) yields a new equation:
% 45.39/14.90  																						| (13555) all_0_85_85 = e2
% 45.39/14.90  																						|
% 45.39/14.90  																						| Simplifying 13555 yields:
% 45.39/14.90  																						| (512) all_0_85_85 = e2
% 45.39/14.90  																						|
% 45.39/14.90  																						| Equations (512) can reduce 515 to:
% 45.39/14.90  																						| (311) $false
% 45.39/14.90  																						|
% 45.39/14.90  																						|-The branch is then unsatisfiable
% 45.39/14.90  																				|-Branch two:
% 45.39/14.90  																				| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 45.39/14.90  																				|
% 45.39/14.90  																					| Applying alpha-rule on (740) yields:
% 45.39/14.90  																					| (741) all_0_48_48 = e1
% 45.39/14.90  																					| (742)  ~ (all_0_49_49 = e3)
% 45.39/14.90  																					|
% 45.39/14.90  																					| From (741) and (217) follows:
% 45.39/14.90  																					| (743) op(e3, all_0_90_90) = e1
% 45.39/14.90  																					|
% 45.39/14.90  																					+-Applying beta-rule and splitting (188), into two cases.
% 45.39/14.90  																					|-Branch one:
% 45.39/14.90  																					| (676) all_0_78_78 = e1
% 45.39/14.90  																					|
% 45.39/14.90  																						| Combining equations (400,676) yields a new equation:
% 45.39/14.90  																						| (408) e2 = e1
% 45.39/14.90  																						|
% 45.39/14.90  																						| Simplifying 408 yields:
% 45.39/14.90  																						| (385) e2 = e1
% 45.39/14.90  																						|
% 45.39/14.90  																						| Equations (385) can reduce 243 to:
% 45.39/14.90  																						| (311) $false
% 45.39/14.90  																						|
% 45.39/14.90  																						|-The branch is then unsatisfiable
% 45.39/14.90  																					|-Branch two:
% 45.39/14.90  																					| (1601)  ~ (all_0_78_78 = e1)
% 45.39/14.90  																					| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.39/14.90  																					|
% 45.39/14.90  																						| Equations (400) can reduce 1601 to:
% 45.39/14.90  																						| (243)  ~ (e2 = e1)
% 45.39/14.90  																						|
% 45.39/14.90  																						+-Applying beta-rule and splitting (127), into two cases.
% 45.39/14.90  																						|-Branch one:
% 45.39/14.90  																						| (457) all_0_79_79 = e1
% 45.39/14.90  																						|
% 45.39/14.90  																							| Equations (457) can reduce 63 to:
% 45.39/14.90  																							| (1665)  ~ (all_0_80_80 = e1)
% 45.39/14.90  																							|
% 45.39/14.90  																							| Simplifying 1665 yields:
% 45.39/14.90  																							| (828)  ~ (all_0_80_80 = e1)
% 45.39/14.90  																							|
% 45.39/14.90  																							| Equations (457) can reduce 15 to:
% 45.39/14.90  																							| (1667)  ~ (all_0_81_81 = e1)
% 45.39/14.90  																							|
% 45.39/14.90  																							| Simplifying 1667 yields:
% 45.39/14.90  																							| (628)  ~ (all_0_81_81 = e1)
% 45.39/14.90  																							|
% 45.39/14.90  																							| Equations (457) can reduce 17 to:
% 45.39/14.91  																							| (1669)  ~ (all_0_91_91 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Simplifying 1669 yields:
% 45.39/14.91  																							| (959)  ~ (all_0_91_91 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Equations (457) can reduce 214 to:
% 45.39/14.91  																							| (1671)  ~ (all_0_96_96 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Simplifying 1671 yields:
% 45.39/14.91  																							| (1479)  ~ (all_0_96_96 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Equations (457) can reduce 235 to:
% 45.39/14.91  																							| (681)  ~ (e4 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Simplifying 681 yields:
% 45.39/14.91  																							| (256)  ~ (e4 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Equations (457) can reduce 1622 to:
% 45.39/14.91  																							| (487)  ~ (e2 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Simplifying 487 yields:
% 45.39/14.91  																							| (243)  ~ (e2 = e1)
% 45.39/14.91  																							|
% 45.39/14.91  																							| Equations (457) can reduce 9 to:
% 45.39/14.91  																							| (264)  ~ (e1 = e0)
% 45.39/14.91  																							|
% 45.39/14.91  																							| From (457) and (184) follows:
% 45.39/14.91  																							| (1679) op(e2, e1) = all_0_52_52
% 45.39/14.91  																							|
% 45.39/14.91  																							| Instantiating formula (262) with e2, e1, all_0_52_52, e1 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e1, yields:
% 45.39/14.91  																							| (15841) all_0_52_52 = e1
% 45.39/14.91  																							|
% 45.39/14.91  																							+-Applying beta-rule and splitting (33), into two cases.
% 45.39/14.91  																							|-Branch one:
% 45.39/14.91  																							| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.39/14.91  																							|
% 45.39/14.91  																								+-Applying beta-rule and splitting (1686), into two cases.
% 45.39/14.91  																								|-Branch one:
% 45.39/14.91  																								| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.39/14.91  																								|
% 45.39/14.91  																									+-Applying beta-rule and splitting (1687), into two cases.
% 45.39/14.91  																									|-Branch one:
% 45.39/14.91  																									| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.39/14.91  																									|
% 45.39/14.91  																										| Applying alpha-rule on (1688) yields:
% 45.39/14.91  																										| (1689) all_0_52_52 = e4
% 45.39/14.91  																										| (1690)  ~ (all_0_53_53 = e2)
% 45.39/14.91  																										|
% 45.39/14.91  																										| Combining equations (1689,15841) yields a new equation:
% 45.39/14.91  																										| (813) e4 = e1
% 45.39/14.91  																										|
% 45.39/14.91  																										| Simplifying 813 yields:
% 45.39/14.91  																										| (814) e4 = e1
% 45.39/14.91  																										|
% 45.39/14.91  																										| Equations (814) can reduce 256 to:
% 45.39/14.91  																										| (311) $false
% 45.39/14.91  																										|
% 45.39/14.91  																										|-The branch is then unsatisfiable
% 45.39/14.91  																									|-Branch two:
% 45.39/14.91  																									| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.39/14.91  																									|
% 45.39/14.91  																										| Applying alpha-rule on (1694) yields:
% 45.39/14.91  																										| (1695) all_0_54_54 = e3
% 45.39/14.91  																										| (1696)  ~ (all_0_55_55 = e2)
% 45.39/14.91  																										|
% 45.39/14.91  																										| Combining equations (1647,1695) yields a new equation:
% 45.39/14.91  																										| (790) e4 = e3
% 45.39/14.91  																										|
% 45.39/14.91  																										| Simplifying 790 yields:
% 45.39/14.91  																										| (434) e4 = e3
% 45.39/14.91  																										|
% 45.39/14.91  																										| Equations (434) can reduce 177 to:
% 45.39/14.91  																										| (311) $false
% 45.39/14.91  																										|
% 45.39/14.91  																										|-The branch is then unsatisfiable
% 45.39/14.91  																								|-Branch two:
% 45.39/14.91  																								| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.39/14.91  																								|
% 45.39/14.91  																									| Applying alpha-rule on (1700) yields:
% 45.39/14.91  																									| (1701) all_0_56_56 = e1
% 45.39/14.91  																									| (1702)  ~ (all_0_57_57 = e2)
% 45.39/14.91  																									|
% 45.39/14.91  																									| From (1701) and (222) follows:
% 45.39/14.91  																									| (1703) op(e2, all_0_91_91) = e1
% 45.39/14.91  																									|
% 45.39/14.91  																									+-Applying beta-rule and splitting (106), into two cases.
% 45.39/14.91  																									|-Branch one:
% 45.39/14.91  																									| (771) all_0_78_78 = e3
% 45.39/14.91  																									|
% 45.39/14.91  																										| Combining equations (400,771) yields a new equation:
% 45.39/14.91  																										| (548) e3 = e2
% 45.39/14.91  																										|
% 45.39/14.91  																										| Equations (548) can reduce 169 to:
% 45.39/14.91  																										| (311) $false
% 45.39/14.91  																										|
% 45.39/14.91  																										|-The branch is then unsatisfiable
% 45.39/14.91  																									|-Branch two:
% 45.39/14.91  																									| (418)  ~ (all_0_78_78 = e3)
% 45.39/14.91  																									| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 45.39/14.91  																									|
% 45.39/14.91  																										| Equations (400) can reduce 418 to:
% 45.39/14.91  																										| (356)  ~ (e3 = e2)
% 45.39/14.91  																										|
% 45.39/14.91  																										| Simplifying 356 yields:
% 45.39/14.91  																										| (169)  ~ (e3 = e2)
% 45.39/14.91  																										|
% 45.39/14.91  																										+-Applying beta-rule and splitting (45), into two cases.
% 45.39/14.91  																										|-Branch one:
% 45.39/14.91  																										| (546) all_0_80_80 = e2
% 45.39/14.91  																										|
% 45.39/14.91  																											| Equations (546) can reduce 394 to:
% 45.39/14.91  																											| (311) $false
% 45.39/14.91  																											|
% 45.39/14.91  																											|-The branch is then unsatisfiable
% 45.39/14.91  																										|-Branch two:
% 45.39/14.91  																										| (394)  ~ (all_0_80_80 = e2)
% 45.39/14.91  																										| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 45.39/14.91  																										|
% 45.39/14.91  																											+-Applying beta-rule and splitting (84), into two cases.
% 45.39/14.91  																											|-Branch one:
% 45.39/14.91  																											| (1704) all_0_96_96 = e2
% 45.39/14.91  																											|
% 45.39/14.91  																												| Equations (1704) can reduce 1638 to:
% 45.39/14.91  																												| (311) $false
% 45.39/14.91  																												|
% 45.39/14.91  																												|-The branch is then unsatisfiable
% 45.39/14.91  																											|-Branch two:
% 45.39/14.91  																											| (1638)  ~ (all_0_96_96 = e2)
% 45.39/14.91  																											| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.39/14.91  																											|
% 45.39/14.91  																												+-Applying beta-rule and splitting (108), into two cases.
% 45.39/14.91  																												|-Branch one:
% 45.39/14.91  																												| (477) all_0_81_81 = e1
% 45.39/14.91  																												|
% 45.39/14.91  																													| Equations (477) can reduce 628 to:
% 45.39/14.91  																													| (311) $false
% 45.39/14.91  																													|
% 45.39/14.91  																													|-The branch is then unsatisfiable
% 45.39/14.91  																												|-Branch two:
% 45.39/14.91  																												| (628)  ~ (all_0_81_81 = e1)
% 45.39/14.91  																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 45.39/14.91  																												|
% 45.39/14.91  																													+-Applying beta-rule and splitting (2), into two cases.
% 45.39/14.91  																													|-Branch one:
% 45.39/14.91  																													| (916) all_0_84_84 = e0
% 45.39/14.91  																													|
% 45.39/14.91  																														| Equations (916) can reduce 7 to:
% 45.39/14.91  																														| (914)  ~ (all_0_82_82 = e0)
% 45.39/14.91  																														|
% 45.39/14.91  																														| Equations (916) can reduce 154 to:
% 45.39/14.91  																														| (799)  ~ (all_0_85_85 = e0)
% 45.39/14.91  																														|
% 45.39/14.91  																														| Simplifying 799 yields:
% 45.39/14.91  																														| (800)  ~ (all_0_85_85 = e0)
% 45.39/14.91  																														|
% 45.39/14.91  																														| Equations (916) can reduce 87 to:
% 45.39/14.91  																														| (2299)  ~ (all_0_92_92 = e0)
% 45.39/14.91  																														|
% 45.39/14.91  																														| Simplifying 2299 yields:
% 45.39/14.91  																														| (946)  ~ (all_0_92_92 = e0)
% 45.39/14.91  																														|
% 45.39/14.91  																														| From (916) and (122) follows:
% 45.39/14.91  																														| (1321) op(e1, e0) = all_0_62_62
% 45.39/14.91  																														|
% 45.39/14.91  																														| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 45.39/14.91  																														| (1367) all_0_62_62 = all_0_93_93
% 45.39/14.91  																														|
% 45.39/14.91  																														+-Applying beta-rule and splitting (109), into two cases.
% 45.39/14.91  																														|-Branch one:
% 45.39/14.91  																														| (469) all_0_82_82 = e4
% 45.39/14.91  																														|
% 45.39/14.91  																															| Equations (469) can reduce 209 to:
% 45.39/14.91  																															| (647)  ~ (all_0_85_85 = e4)
% 45.39/14.91  																															|
% 45.39/14.91  																															| Simplifying 647 yields:
% 45.39/14.91  																															| (648)  ~ (all_0_85_85 = e4)
% 45.39/14.91  																															|
% 45.39/14.91  																															| Equations (469) can reduce 255 to:
% 45.39/14.91  																															| (466)  ~ (all_0_90_90 = e4)
% 45.39/14.91  																															|
% 45.39/14.91  																															| Simplifying 466 yields:
% 45.39/14.91  																															| (467)  ~ (all_0_90_90 = e4)
% 45.39/14.91  																															|
% 45.39/14.91  																															+-Applying beta-rule and splitting (182), into two cases.
% 45.39/14.91  																															|-Branch one:
% 45.39/14.91  																															| (512) all_0_85_85 = e2
% 45.39/14.91  																															|
% 45.39/14.91  																																| Equations (512) can reduce 515 to:
% 45.39/14.91  																																| (311) $false
% 45.39/14.91  																																|
% 45.39/14.91  																																|-The branch is then unsatisfiable
% 45.39/14.91  																															|-Branch two:
% 45.39/14.91  																															| (515)  ~ (all_0_85_85 = e2)
% 45.39/14.91  																															| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.39/14.91  																															|
% 45.39/14.91  																																+-Applying beta-rule and splitting (725), into two cases.
% 45.39/14.91  																																|-Branch one:
% 45.39/14.91  																																| (804) all_0_85_85 = e3
% 45.39/14.91  																																|
% 45.39/14.91  																																	| Equations (804) can reduce 118 to:
% 45.39/14.91  																																	| (420)  ~ (all_0_81_81 = e3)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| Equations (804) can reduce 201 to:
% 45.39/14.91  																																	| (807)  ~ (all_0_93_93 = e3)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| Simplifying 807 yields:
% 45.39/14.91  																																	| (602)  ~ (all_0_93_93 = e3)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| Equations (804) can reduce 648 to:
% 45.39/14.91  																																	| (783)  ~ (e4 = e3)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| Simplifying 783 yields:
% 45.39/14.91  																																	| (177)  ~ (e4 = e3)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| Equations (804) can reduce 128 to:
% 45.39/14.91  																																	| (20)  ~ (e3 = e1)
% 45.39/14.91  																																	|
% 45.39/14.91  																																	| From (804) and (26) follows:
% 45.39/14.91  																																	| (1891) op(e0, e3) = all_0_71_71
% 45.39/14.91  																																	|
% 45.39/14.91  																																	+-Applying beta-rule and splitting (1756), into two cases.
% 45.39/14.91  																																	|-Branch one:
% 45.39/14.91  																																	| (1708) all_0_79_79 = e3
% 45.39/14.91  																																	|
% 45.39/14.91  																																		| Combining equations (457,1708) yields a new equation:
% 45.39/14.91  																																		| (772) e3 = e1
% 45.39/14.91  																																		|
% 45.39/14.91  																																		| Equations (772) can reduce 20 to:
% 45.39/14.91  																																		| (311) $false
% 45.39/14.91  																																		|
% 45.39/14.91  																																		|-The branch is then unsatisfiable
% 45.39/14.91  																																	|-Branch two:
% 45.39/14.91  																																	| (1711)  ~ (all_0_79_79 = e3)
% 45.39/14.91  																																	| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 45.39/14.91  																																	|
% 45.39/14.91  																																		+-Applying beta-rule and splitting (123), into two cases.
% 45.39/14.91  																																		|-Branch one:
% 45.39/14.91  																																		| (473) all_0_81_81 = e2
% 45.39/14.91  																																		|
% 45.39/14.91  																																			| Equations (473) can reduce 396 to:
% 45.39/14.91  																																			| (311) $false
% 45.39/14.91  																																			|
% 45.39/14.91  																																			|-The branch is then unsatisfiable
% 45.39/14.91  																																		|-Branch two:
% 45.39/14.91  																																		| (396)  ~ (all_0_81_81 = e2)
% 45.39/14.91  																																		| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.39/14.91  																																		|
% 45.39/14.91  																																			+-Applying beta-rule and splitting (1768), into two cases.
% 45.39/14.91  																																			|-Branch one:
% 45.39/14.91  																																			| (416) all_0_80_80 = e3
% 45.39/14.91  																																			|
% 45.39/14.91  																																				| Equations (416) can reduce 394 to:
% 45.39/14.91  																																				| (169)  ~ (e3 = e2)
% 45.39/14.91  																																				|
% 45.39/14.91  																																				| Equations (416) can reduce 828 to:
% 45.39/14.91  																																				| (20)  ~ (e3 = e1)
% 45.39/14.91  																																				|
% 45.39/14.91  																																				| From (416) and (233) follows:
% 45.39/14.91  																																				| (432) op(e1, e3) = all_0_60_60
% 45.39/14.91  																																				|
% 45.39/14.91  																																				+-Applying beta-rule and splitting (641), into two cases.
% 45.39/14.91  																																				|-Branch one:
% 45.39/14.91  																																				| (433) all_0_80_80 = e4
% 45.39/14.91  																																				|
% 45.39/14.91  																																					| Combining equations (416,433) yields a new equation:
% 45.39/14.91  																																					| (434) e4 = e3
% 45.39/14.91  																																					|
% 45.39/14.91  																																					| Equations (434) can reduce 177 to:
% 45.39/14.91  																																					| (311) $false
% 45.39/14.91  																																					|
% 45.39/14.91  																																					|-The branch is then unsatisfiable
% 45.39/14.91  																																				|-Branch two:
% 45.39/14.91  																																				| (436)  ~ (all_0_80_80 = e4)
% 45.39/14.91  																																				| (638) all_0_81_81 = e4
% 45.39/14.91  																																				|
% 45.39/14.91  																																					| Equations (638) can reduce 277 to:
% 45.39/14.91  																																					| (495)  ~ (all_0_93_93 = e4)
% 45.39/14.91  																																					|
% 45.39/14.91  																																					| Simplifying 495 yields:
% 45.39/14.91  																																					| (496)  ~ (all_0_93_93 = e4)
% 45.39/14.91  																																					|
% 45.39/14.91  																																					| Equations (638) can reduce 396 to:
% 45.39/14.91  																																					| (79)  ~ (e4 = e2)
% 45.39/14.91  																																					|
% 45.39/14.91  																																					| From (638) and (68) follows:
% 45.39/14.91  																																					| (657) op(e4, e4) = all_0_70_70
% 45.39/14.91  																																					|
% 45.39/14.91  																																					+-Applying beta-rule and splitting (46), into two cases.
% 45.39/14.91  																																					|-Branch one:
% 45.39/14.91  																																					| (308) all_0_89_89 = e4
% 45.39/14.91  																																					|
% 45.39/14.91  																																						| Combining equations (292,308) yields a new equation:
% 45.39/14.91  																																						| (310) e4 = e2
% 45.39/14.91  																																						|
% 45.39/14.91  																																						| Equations (310) can reduce 79 to:
% 45.39/14.91  																																						| (311) $false
% 45.39/14.91  																																						|
% 45.39/14.91  																																						|-The branch is then unsatisfiable
% 45.39/14.91  																																					|-Branch two:
% 45.39/14.91  																																					| (312)  ~ (all_0_89_89 = e4)
% 45.39/14.91  																																					| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.39/14.91  																																					|
% 45.39/14.91  																																						+-Applying beta-rule and splitting (1915), into two cases.
% 45.39/14.91  																																						|-Branch one:
% 45.39/14.91  																																						| (583) all_0_90_90 = e4
% 45.39/14.91  																																						|
% 45.39/14.91  																																							| Equations (583) can reduce 467 to:
% 45.39/14.91  																																							| (311) $false
% 45.39/14.91  																																							|
% 45.39/14.91  																																							|-The branch is then unsatisfiable
% 45.39/14.91  																																						|-Branch two:
% 45.39/14.91  																																						| (467)  ~ (all_0_90_90 = e4)
% 45.39/14.91  																																						| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 45.39/14.91  																																						|
% 45.39/14.91  																																							+-Applying beta-rule and splitting (1928), into two cases.
% 45.39/14.91  																																							|-Branch one:
% 45.39/14.91  																																							| (442) all_0_92_92 = e4
% 45.39/14.91  																																							|
% 45.39/14.91  																																								| Combining equations (442,5478) yields a new equation:
% 45.39/14.91  																																								| (575) all_0_64_64 = e4
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Equations (442) can reduce 72 to:
% 45.39/14.91  																																								| (467)  ~ (all_0_90_90 = e4)
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Equations (442) can reduce 298 to:
% 45.39/14.91  																																								| (79)  ~ (e4 = e2)
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Equations (442) can reduce 840 to:
% 45.39/14.91  																																								| (256)  ~ (e4 = e1)
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 45.39/14.91  																																								| (686) all_0_70_70 = e0
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 45.39/14.91  																																								| (451) all_0_60_60 = all_0_90_90
% 45.39/14.91  																																								|
% 45.39/14.91  																																								| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 45.39/14.91  																																								| (14316) all_0_71_71 = all_0_95_95
% 45.39/14.91  																																								|
% 45.39/14.91  																																								+-Applying beta-rule and splitting (276), into two cases.
% 45.39/14.91  																																								|-Branch one:
% 45.39/14.91  																																								| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.39/14.91  																																								|
% 45.39/14.91  																																									+-Applying beta-rule and splitting (577), into two cases.
% 45.39/14.91  																																									|-Branch one:
% 45.39/14.91  																																									| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.39/14.91  																																									|
% 45.39/14.91  																																										+-Applying beta-rule and splitting (578), into two cases.
% 45.39/14.91  																																										|-Branch one:
% 45.39/14.91  																																										| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.39/14.91  																																										|
% 45.39/14.91  																																											| Applying alpha-rule on (579) yields:
% 45.39/14.91  																																											| (580) all_0_60_60 = e4
% 45.39/14.91  																																											| (581)  ~ (all_0_61_61 = e1)
% 45.39/14.91  																																											|
% 45.39/14.91  																																											| Combining equations (580,451) yields a new equation:
% 45.39/14.91  																																											| (583) all_0_90_90 = e4
% 45.39/14.91  																																											|
% 45.39/14.91  																																											| Equations (583) can reduce 467 to:
% 45.39/14.91  																																											| (311) $false
% 45.39/14.91  																																											|
% 45.39/14.91  																																											|-The branch is then unsatisfiable
% 45.39/14.91  																																										|-Branch two:
% 45.39/14.91  																																										| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.39/14.91  																																										|
% 45.39/14.91  																																											| Applying alpha-rule on (585) yields:
% 45.39/14.91  																																											| (586) all_0_62_62 = e3
% 45.39/14.91  																																											| (587)  ~ (all_0_63_63 = e1)
% 45.39/14.91  																																											|
% 45.39/14.91  																																											| Combining equations (586,1367) yields a new equation:
% 45.39/14.91  																																											| (570) all_0_93_93 = e3
% 45.39/14.91  																																											|
% 45.39/14.91  																																											| Equations (570) can reduce 602 to:
% 45.39/14.91  																																											| (311) $false
% 45.39/14.91  																																											|
% 45.39/14.91  																																											|-The branch is then unsatisfiable
% 45.39/14.91  																																									|-Branch two:
% 45.39/14.91  																																									| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.39/14.91  																																									|
% 45.39/14.91  																																										| Applying alpha-rule on (590) yields:
% 45.39/14.91  																																										| (591) all_0_64_64 = e2
% 45.39/14.91  																																										| (592)  ~ (all_0_65_65 = e1)
% 45.39/14.91  																																										|
% 45.39/14.91  																																										| Combining equations (591,575) yields a new equation:
% 45.39/14.91  																																										| (310) e4 = e2
% 45.39/14.91  																																										|
% 45.39/14.91  																																										| Equations (310) can reduce 79 to:
% 45.39/14.91  																																										| (311) $false
% 45.39/14.91  																																										|
% 45.39/14.91  																																										|-The branch is then unsatisfiable
% 45.39/14.91  																																								|-Branch two:
% 45.39/14.91  																																								| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.39/14.91  																																								|
% 45.39/14.91  																																									| Applying alpha-rule on (596) yields:
% 45.39/14.91  																																									| (597) all_0_67_67 = e0
% 45.39/14.91  																																									| (598)  ~ (all_0_68_68 = e1)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Combining equations (597,4077) yields a new equation:
% 45.39/14.91  																																									| (1456) all_0_91_91 = e0
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Equations (1368) can reduce 598 to:
% 45.39/14.91  																																									| (1479)  ~ (all_0_96_96 = e1)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Equations (1456) can reduce 64 to:
% 45.39/14.91  																																									| (2296)  ~ (all_0_96_96 = e0)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Simplifying 2296 yields:
% 45.39/14.91  																																									| (2095)  ~ (all_0_96_96 = e0)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Equations (1456) can reduce 959 to:
% 45.39/14.91  																																									| (859)  ~ (e1 = e0)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									| Simplifying 859 yields:
% 45.39/14.91  																																									| (264)  ~ (e1 = e0)
% 45.39/14.91  																																									|
% 45.39/14.91  																																									+-Applying beta-rule and splitting (1707), into two cases.
% 45.39/14.91  																																									|-Branch one:
% 45.39/14.91  																																									| (960) all_0_96_96 = e1
% 45.39/14.91  																																									|
% 45.39/14.91  																																										| Equations (960) can reduce 1479 to:
% 45.39/14.91  																																										| (311) $false
% 45.39/14.91  																																										|
% 45.39/14.91  																																										|-The branch is then unsatisfiable
% 45.39/14.91  																																									|-Branch two:
% 45.39/14.91  																																									| (1479)  ~ (all_0_96_96 = e1)
% 45.39/14.91  																																									| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.39/14.91  																																									|
% 45.39/14.91  																																										+-Applying beta-rule and splitting (285), into two cases.
% 45.39/14.92  																																										|-Branch one:
% 45.39/14.92  																																										| (1708) all_0_79_79 = e3
% 45.39/14.92  																																										|
% 45.39/14.92  																																											| Combining equations (457,1708) yields a new equation:
% 45.39/14.92  																																											| (772) e3 = e1
% 45.39/14.92  																																											|
% 45.39/14.92  																																											| Equations (772) can reduce 20 to:
% 45.39/14.92  																																											| (311) $false
% 45.39/14.92  																																											|
% 45.39/14.92  																																											|-The branch is then unsatisfiable
% 45.39/14.92  																																										|-Branch two:
% 45.39/14.92  																																										| (1711)  ~ (all_0_79_79 = e3)
% 45.39/14.92  																																										| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.39/14.92  																																										|
% 45.39/14.92  																																											| Equations (457) can reduce 1711 to:
% 45.39/14.92  																																											| (683)  ~ (e3 = e1)
% 45.39/14.92  																																											|
% 45.39/14.92  																																											| Simplifying 683 yields:
% 45.39/14.92  																																											| (20)  ~ (e3 = e1)
% 45.39/14.92  																																											|
% 45.39/14.92  																																											+-Applying beta-rule and splitting (282), into two cases.
% 45.39/14.92  																																											|-Branch one:
% 45.39/14.92  																																											| (754) all_0_90_90 = e3
% 45.39/14.92  																																											|
% 45.39/14.92  																																												| Equations (754) can reduce 229 to:
% 45.39/14.92  																																												| (1070)  ~ (all_0_95_95 = e3)
% 45.39/14.92  																																												|
% 45.39/14.92  																																												| Simplifying 1070 yields:
% 45.39/14.92  																																												| (765)  ~ (all_0_95_95 = e3)
% 45.39/14.92  																																												|
% 45.39/14.92  																																												+-Applying beta-rule and splitting (132), into two cases.
% 45.39/14.92  																																												|-Branch one:
% 45.39/14.92  																																												| (750) all_0_90_90 = e1
% 45.39/14.92  																																												|
% 45.39/14.92  																																													| Combining equations (754,750) yields a new equation:
% 45.39/14.92  																																													| (825) e3 = e1
% 45.39/14.92  																																													|
% 45.39/14.92  																																													| Simplifying 825 yields:
% 45.39/14.92  																																													| (772) e3 = e1
% 45.39/14.92  																																													|
% 45.39/14.92  																																													| Equations (772) can reduce 20 to:
% 45.39/14.92  																																													| (311) $false
% 45.39/14.92  																																													|
% 45.39/14.92  																																													|-The branch is then unsatisfiable
% 45.39/14.92  																																												|-Branch two:
% 45.39/14.92  																																												| (678)  ~ (all_0_90_90 = e1)
% 45.39/14.92  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.39/14.92  																																												|
% 45.39/14.92  																																													+-Applying beta-rule and splitting (1526), into two cases.
% 45.39/14.92  																																													|-Branch one:
% 45.39/14.92  																																													| (801) all_0_91_91 = e1
% 45.39/14.92  																																													|
% 45.39/14.92  																																														| Combining equations (1456,801) yields a new equation:
% 45.39/14.92  																																														| (865) e1 = e0
% 45.39/14.92  																																														|
% 45.39/14.92  																																														| Equations (865) can reduce 264 to:
% 45.39/14.92  																																														| (311) $false
% 45.39/14.92  																																														|
% 45.39/14.92  																																														|-The branch is then unsatisfiable
% 45.39/14.92  																																													|-Branch two:
% 45.39/14.92  																																													| (959)  ~ (all_0_91_91 = e1)
% 45.39/14.92  																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.39/14.92  																																													|
% 45.39/14.92  																																														+-Applying beta-rule and splitting (89), into two cases.
% 45.39/14.92  																																														|-Branch one:
% 45.39/14.92  																																														| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.39/14.92  																																														|
% 45.39/14.92  																																															+-Applying beta-rule and splitting (1373), into two cases.
% 45.39/14.92  																																															|-Branch one:
% 45.39/14.92  																																															| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.39/14.92  																																															|
% 45.39/14.92  																																																+-Applying beta-rule and splitting (1374), into two cases.
% 45.39/14.92  																																																|-Branch one:
% 45.39/14.92  																																																| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	| Applying alpha-rule on (1375) yields:
% 45.39/14.92  																																																	| (1376) all_0_69_69 = e4
% 45.39/14.92  																																																	| (1377)  ~ (all_0_70_70 = e0)
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Equations (686) can reduce 1377 to:
% 45.39/14.92  																																																	| (311) $false
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																																|-Branch two:
% 45.39/14.92  																																																| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	| Applying alpha-rule on (1379) yields:
% 45.39/14.92  																																																	| (1380) all_0_71_71 = e3
% 45.39/14.92  																																																	| (1381)  ~ (all_0_72_72 = e0)
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Combining equations (1380,14316) yields a new equation:
% 45.39/14.92  																																																	| (744) all_0_95_95 = e3
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Equations (744) can reduce 765 to:
% 45.39/14.92  																																																	| (311) $false
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																															|-Branch two:
% 45.39/14.92  																																															| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.39/14.92  																																															|
% 45.39/14.92  																																																| Applying alpha-rule on (1385) yields:
% 45.39/14.92  																																																| (1386) all_0_73_73 = e2
% 45.39/14.92  																																																| (1387)  ~ (all_0_74_74 = e0)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Combining equations (1386,18823) yields a new equation:
% 45.39/14.92  																																																| (1704) all_0_96_96 = e2
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Equations (1704) can reduce 1638 to:
% 45.39/14.92  																																																| (311) $false
% 45.39/14.92  																																																|
% 45.39/14.92  																																																|-The branch is then unsatisfiable
% 45.39/14.92  																																														|-Branch two:
% 45.39/14.92  																																														| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.39/14.92  																																														|
% 45.39/14.92  																																															| Applying alpha-rule on (1391) yields:
% 45.39/14.92  																																															| (1392) all_0_75_75 = e1
% 45.39/14.92  																																															| (1393)  ~ (all_0_76_76 = e0)
% 45.39/14.92  																																															|
% 45.39/14.92  																																															| From (1392) and (173) follows:
% 45.39/14.92  																																															| (1394) op(e0, all_0_93_93) = e1
% 45.39/14.92  																																															|
% 45.39/14.92  																																															+-Applying beta-rule and splitting (1556), into two cases.
% 45.39/14.92  																																															|-Branch one:
% 45.39/14.92  																																															| (836) all_0_92_92 = e1
% 45.39/14.92  																																															|
% 45.39/14.92  																																																| Combining equations (442,836) yields a new equation:
% 45.39/14.92  																																																| (813) e4 = e1
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Simplifying 813 yields:
% 45.39/14.92  																																																| (814) e4 = e1
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Equations (814) can reduce 256 to:
% 45.39/14.92  																																																| (311) $false
% 45.39/14.92  																																																|
% 45.39/14.92  																																																|-The branch is then unsatisfiable
% 45.39/14.92  																																															|-Branch two:
% 45.39/14.92  																																															| (840)  ~ (all_0_92_92 = e1)
% 45.39/14.92  																																															| (566) all_0_93_93 = e1
% 45.39/14.92  																																															|
% 45.39/14.92  																																																| Equations (566) can reduce 13 to:
% 45.39/14.92  																																																| (1803)  ~ (all_0_98_98 = e1)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Simplifying 1803 yields:
% 45.39/14.92  																																																| (1804)  ~ (all_0_98_98 = e1)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Equations (566) can reduce 300 to:
% 45.39/14.92  																																																| (487)  ~ (e2 = e1)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Simplifying 487 yields:
% 45.39/14.92  																																																| (243)  ~ (e2 = e1)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| From (566) and (1394) follows:
% 45.39/14.92  																																																| (2475) op(e0, e1) = e1
% 45.39/14.92  																																																|
% 45.39/14.92  																																																+-Applying beta-rule and splitting (176), into two cases.
% 45.39/14.92  																																																|-Branch one:
% 45.39/14.92  																																																| (785) all_0_95_95 = e1
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	| Equations (785) can reduce 355 to:
% 45.39/14.92  																																																	| (487)  ~ (e2 = e1)
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Simplifying 487 yields:
% 45.39/14.92  																																																	| (243)  ~ (e2 = e1)
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Instantiating formula (262) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 45.39/14.92  																																																	| (385) e2 = e1
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Equations (385) can reduce 243 to:
% 45.39/14.92  																																																	| (311) $false
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																																|-Branch two:
% 45.39/14.92  																																																| (680)  ~ (all_0_95_95 = e1)
% 45.39/14.92  																																																| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	+-Applying beta-rule and splitting (788), into two cases.
% 45.39/14.92  																																																	|-Branch one:
% 45.39/14.92  																																																	| (960) all_0_96_96 = e1
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																		| Equations (960) can reduce 1479 to:
% 45.39/14.92  																																																		| (311) $false
% 45.39/14.92  																																																		|
% 45.39/14.92  																																																		|-The branch is then unsatisfiable
% 45.39/14.92  																																																	|-Branch two:
% 45.39/14.92  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 45.39/14.92  																																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																		+-Applying beta-rule and splitting (2126), into two cases.
% 45.39/14.92  																																																		|-Branch one:
% 45.39/14.92  																																																		| (542) all_0_97_97 = e1
% 45.39/14.92  																																																		|
% 45.39/14.92  																																																			| Combining equations (538,542) yields a new equation:
% 45.39/14.92  																																																			| (408) e2 = e1
% 45.39/14.92  																																																			|
% 45.39/14.92  																																																			| Simplifying 408 yields:
% 45.39/14.92  																																																			| (385) e2 = e1
% 45.39/14.92  																																																			|
% 45.39/14.92  																																																			| Equations (385) can reduce 243 to:
% 45.39/14.92  																																																			| (311) $false
% 45.39/14.92  																																																			|
% 45.39/14.92  																																																			|-The branch is then unsatisfiable
% 45.39/14.92  																																																		|-Branch two:
% 45.39/14.92  																																																		| (486)  ~ (all_0_97_97 = e1)
% 45.39/14.92  																																																		| (1543) all_0_98_98 = e1
% 45.39/14.92  																																																		|
% 45.39/14.92  																																																			| Equations (1543) can reduce 1804 to:
% 45.39/14.92  																																																			| (311) $false
% 45.39/14.92  																																																			|
% 45.39/14.92  																																																			|-The branch is then unsatisfiable
% 45.39/14.92  																																											|-Branch two:
% 45.39/14.92  																																											| (745)  ~ (all_0_90_90 = e3)
% 45.39/14.92  																																											| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.39/14.92  																																											|
% 45.39/14.92  																																												+-Applying beta-rule and splitting (220), into two cases.
% 45.39/14.92  																																												|-Branch one:
% 45.39/14.92  																																												| (771) all_0_78_78 = e3
% 45.39/14.92  																																												|
% 45.39/14.92  																																													| Combining equations (400,771) yields a new equation:
% 45.39/14.92  																																													| (548) e3 = e2
% 45.39/14.92  																																													|
% 45.39/14.92  																																													| Equations (548) can reduce 169 to:
% 45.39/14.92  																																													| (311) $false
% 45.39/14.92  																																													|
% 45.39/14.92  																																													|-The branch is then unsatisfiable
% 45.39/14.92  																																												|-Branch two:
% 45.39/14.92  																																												| (418)  ~ (all_0_78_78 = e3)
% 45.39/14.92  																																												| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.39/14.92  																																												|
% 45.39/14.92  																																													+-Applying beta-rule and splitting (2016), into two cases.
% 45.39/14.92  																																													|-Branch one:
% 45.39/14.92  																																													| (778) all_0_96_96 = e3
% 45.39/14.92  																																													|
% 45.39/14.92  																																														| Equations (778) can reduce 115 to:
% 45.39/14.92  																																														| (783)  ~ (e4 = e3)
% 45.39/14.92  																																														|
% 45.39/14.92  																																														| Simplifying 783 yields:
% 45.39/14.92  																																														| (177)  ~ (e4 = e3)
% 45.39/14.92  																																														|
% 45.39/14.92  																																														| Equations (778) can reduce 2095 to:
% 45.39/14.92  																																														| (50)  ~ (e3 = e0)
% 45.39/14.92  																																														|
% 45.39/14.92  																																														+-Applying beta-rule and splitting (849), into two cases.
% 45.39/14.92  																																														|-Branch one:
% 45.39/14.92  																																														| (588) all_0_91_91 = e3
% 45.39/14.92  																																														|
% 45.39/14.92  																																															| Combining equations (1456,588) yields a new equation:
% 45.39/14.92  																																															| (600) e3 = e0
% 45.39/14.92  																																															|
% 45.39/14.92  																																															| Equations (600) can reduce 50 to:
% 45.39/14.92  																																															| (311) $false
% 45.39/14.92  																																															|
% 45.39/14.92  																																															|-The branch is then unsatisfiable
% 45.39/14.92  																																														|-Branch two:
% 45.39/14.92  																																														| (571)  ~ (all_0_91_91 = e3)
% 45.39/14.92  																																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.39/14.92  																																														|
% 45.39/14.92  																																															+-Applying beta-rule and splitting (775), into two cases.
% 45.39/14.92  																																															|-Branch one:
% 45.39/14.92  																																															| (789) all_0_82_82 = e3
% 45.39/14.92  																																															|
% 45.39/14.92  																																																| Combining equations (469,789) yields a new equation:
% 45.39/14.92  																																																| (790) e4 = e3
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Simplifying 790 yields:
% 45.39/14.92  																																																| (434) e4 = e3
% 45.39/14.92  																																																|
% 45.39/14.92  																																																| Equations (434) can reduce 177 to:
% 45.39/14.92  																																																| (311) $false
% 45.39/14.92  																																																|
% 45.39/14.92  																																																|-The branch is then unsatisfiable
% 45.39/14.92  																																															|-Branch two:
% 45.39/14.92  																																															| (793)  ~ (all_0_82_82 = e3)
% 45.39/14.92  																																															| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 45.39/14.92  																																															|
% 45.39/14.92  																																																| Equations (469) can reduce 793 to:
% 45.39/14.92  																																																| (177)  ~ (e4 = e3)
% 45.39/14.92  																																																|
% 45.39/14.92  																																																+-Applying beta-rule and splitting (881), into two cases.
% 45.39/14.92  																																																|-Branch one:
% 45.39/14.92  																																																| (882) all_0_92_92 = e3
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	| Combining equations (442,882) yields a new equation:
% 45.39/14.92  																																																	| (790) e4 = e3
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Simplifying 790 yields:
% 45.39/14.92  																																																	| (434) e4 = e3
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	| Equations (434) can reduce 177 to:
% 45.39/14.92  																																																	| (311) $false
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																																|-Branch two:
% 45.39/14.92  																																																| (426)  ~ (all_0_92_92 = e3)
% 45.39/14.92  																																																| (570) all_0_93_93 = e3
% 45.39/14.92  																																																|
% 45.39/14.92  																																																	| Equations (570) can reduce 602 to:
% 45.39/14.92  																																																	| (311) $false
% 45.39/14.92  																																																	|
% 45.39/14.92  																																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																													|-Branch two:
% 45.39/14.92  																																													| (964)  ~ (all_0_96_96 = e3)
% 45.39/14.92  																																													| (1837) all_0_96_96 = e0
% 45.39/14.92  																																													|
% 45.39/14.92  																																														| Equations (1837) can reduce 2095 to:
% 45.39/14.92  																																														| (311) $false
% 45.39/14.92  																																														|
% 45.39/14.92  																																														|-The branch is then unsatisfiable
% 45.39/14.92  																																							|-Branch two:
% 45.39/14.92  																																							| (1619)  ~ (all_0_92_92 = e4)
% 45.39/14.92  																																							| (607) all_0_93_93 = e4
% 45.39/14.92  																																							|
% 45.39/14.92  																																								| Equations (607) can reduce 496 to:
% 45.39/14.92  																																								| (311) $false
% 45.39/14.92  																																								|
% 45.39/14.92  																																								|-The branch is then unsatisfiable
% 45.39/14.92  																																			|-Branch two:
% 45.39/14.92  																																			| (2347)  ~ (all_0_80_80 = e3)
% 45.39/14.92  																																			| (635) all_0_81_81 = e3
% 45.39/14.92  																																			|
% 45.39/14.92  																																				| Equations (635) can reduce 420 to:
% 45.39/14.92  																																				| (311) $false
% 45.39/14.92  																																				|
% 45.39/14.92  																																				|-The branch is then unsatisfiable
% 45.39/14.92  																																|-Branch two:
% 45.39/14.92  																																| (952)  ~ (all_0_85_85 = e3)
% 45.39/14.92  																																| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.39/14.92  																																|
% 45.39/14.92  																																	+-Applying beta-rule and splitting (953), into two cases.
% 45.39/14.92  																																	|-Branch one:
% 45.39/14.92  																																	| (954) all_0_85_85 = e0
% 45.39/14.92  																																	|
% 45.39/14.92  																																		| Equations (954) can reduce 800 to:
% 45.39/14.92  																																		| (311) $false
% 45.39/14.92  																																		|
% 45.39/14.92  																																		|-The branch is then unsatisfiable
% 45.39/14.92  																																	|-Branch two:
% 45.39/14.92  																																	| (800)  ~ (all_0_85_85 = e0)
% 45.39/14.92  																																	| (493) all_0_85_85 = e4
% 45.39/14.92  																																	|
% 45.39/14.92  																																		| Equations (493) can reduce 648 to:
% 45.39/14.92  																																		| (311) $false
% 45.39/14.92  																																		|
% 45.39/14.92  																																		|-The branch is then unsatisfiable
% 45.39/14.92  																														|-Branch two:
% 45.39/14.92  																														| (465)  ~ (all_0_82_82 = e4)
% 45.39/14.92  																														| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.39/14.92  																														|
% 45.39/14.92  																															+-Applying beta-rule and splitting (10), into two cases.
% 45.39/14.92  																															|-Branch one:
% 45.39/14.92  																															| (530) all_0_82_82 = e2
% 45.39/14.92  																															|
% 45.39/14.92  																																| Equations (530) can reduce 347 to:
% 45.39/14.92  																																| (311) $false
% 45.39/14.92  																																|
% 45.39/14.92  																																|-The branch is then unsatisfiable
% 45.39/14.92  																															|-Branch two:
% 45.39/14.92  																															| (347)  ~ (all_0_82_82 = e2)
% 45.39/14.92  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.39/14.92  																															|
% 45.39/14.92  																																+-Applying beta-rule and splitting (472), into two cases.
% 45.39/14.92  																																|-Branch one:
% 45.39/14.92  																																| (438) all_0_84_84 = e4
% 45.39/14.92  																																|
% 45.39/14.92  																																	| Combining equations (916,438) yields a new equation:
% 45.39/14.92  																																	| (912) e4 = e0
% 45.39/14.92  																																	|
% 45.39/14.92  																																	| Equations (912) can reduce 23 to:
% 45.39/14.92  																																	| (311) $false
% 45.39/14.92  																																	|
% 45.39/14.92  																																	|-The branch is then unsatisfiable
% 45.39/14.92  																																|-Branch two:
% 45.39/14.92  																																| (417)  ~ (all_0_84_84 = e4)
% 45.39/14.92  																																| (493) all_0_85_85 = e4
% 45.39/14.92  																																|
% 45.39/14.92  																																	| Equations (493) can reduce 209 to:
% 45.39/14.92  																																	| (465)  ~ (all_0_82_82 = e4)
% 45.39/14.92  																																	|
% 45.39/14.92  																																	| Equations (493) can reduce 75 to:
% 45.39/14.92  																																	| (320)  ~ (all_0_98_98 = e4)
% 45.39/14.92  																																	|
% 45.39/14.92  																																	| Simplifying 320 yields:
% 45.39/14.92  																																	| (321)  ~ (all_0_98_98 = e4)
% 45.39/14.92  																																	|
% 45.39/14.92  																																	| Equations (493) can reduce 515 to:
% 45.39/14.92  																																	| (79)  ~ (e4 = e2)
% 45.39/14.92  																																	|
% 45.39/14.92  																																	+-Applying beta-rule and splitting (2205), into two cases.
% 45.39/14.92  																																	|-Branch one:
% 45.39/14.92  																																	| (789) all_0_82_82 = e3
% 45.39/14.92  																																	|
% 45.39/14.92  																																		| Equations (789) can reduce 465 to:
% 45.39/14.92  																																		| (783)  ~ (e4 = e3)
% 45.39/14.92  																																		|
% 45.39/14.92  																																		| Simplifying 783 yields:
% 45.39/14.92  																																		| (177)  ~ (e4 = e3)
% 45.39/14.92  																																		|
% 45.39/14.92  																																		+-Applying beta-rule and splitting (99), into two cases.
% 45.39/14.92  																																		|-Branch one:
% 45.39/14.92  																																		| (767) all_0_95_95 = e2
% 45.39/14.93  																																		|
% 45.39/14.93  																																			| Equations (767) can reduce 355 to:
% 45.39/14.93  																																			| (311) $false
% 45.39/14.93  																																			|
% 45.39/14.93  																																			|-The branch is then unsatisfiable
% 45.39/14.93  																																		|-Branch two:
% 45.39/14.93  																																		| (355)  ~ (all_0_95_95 = e2)
% 45.39/14.93  																																		| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																			+-Applying beta-rule and splitting (770), into two cases.
% 45.39/14.93  																																			|-Branch one:
% 45.39/14.93  																																			| (785) all_0_95_95 = e1
% 45.39/14.93  																																			|
% 45.39/14.93  																																				| Equations (785) can reduce 107 to:
% 45.39/14.93  																																				| (1803)  ~ (all_0_98_98 = e1)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				| Simplifying 1803 yields:
% 45.39/14.93  																																				| (1804)  ~ (all_0_98_98 = e1)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				| Equations (785) can reduce 355 to:
% 45.39/14.93  																																				| (487)  ~ (e2 = e1)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				| Simplifying 487 yields:
% 45.39/14.93  																																				| (243)  ~ (e2 = e1)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				| Equations (785) can reduce 893 to:
% 45.39/14.93  																																				| (264)  ~ (e1 = e0)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				+-Applying beta-rule and splitting (817), into two cases.
% 45.39/14.93  																																				|-Branch one:
% 45.39/14.93  																																				| (504) all_0_88_88 = e1
% 45.39/14.93  																																				|
% 45.39/14.93  																																					| Combining equations (504,370) yields a new equation:
% 45.39/14.93  																																					| (385) e2 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																					| Equations (385) can reduce 243 to:
% 45.39/14.93  																																					| (311) $false
% 45.39/14.93  																																					|
% 45.39/14.93  																																					|-The branch is then unsatisfiable
% 45.39/14.93  																																				|-Branch two:
% 45.39/14.93  																																				| (479)  ~ (all_0_88_88 = e1)
% 45.39/14.93  																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 45.39/14.93  																																				|
% 45.39/14.93  																																					+-Applying beta-rule and splitting (897), into two cases.
% 45.39/14.93  																																					|-Branch one:
% 45.39/14.93  																																					| (566) all_0_93_93 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																						| Equations (566) can reduce 300 to:
% 45.39/14.93  																																						| (487)  ~ (e2 = e1)
% 45.39/14.93  																																						|
% 45.39/14.93  																																						| Simplifying 487 yields:
% 45.39/14.93  																																						| (243)  ~ (e2 = e1)
% 45.39/14.93  																																						|
% 45.39/14.93  																																						+-Applying beta-rule and splitting (291), into two cases.
% 45.39/14.93  																																						|-Branch one:
% 45.39/14.93  																																						| (758) all_0_90_90 = e0
% 45.39/14.93  																																						|
% 45.39/14.93  																																							| Equations (758) can reduce 762 to:
% 45.39/14.93  																																							| (311) $false
% 45.39/14.93  																																							|
% 45.39/14.93  																																							|-The branch is then unsatisfiable
% 45.39/14.93  																																						|-Branch two:
% 45.39/14.93  																																						| (762)  ~ (all_0_90_90 = e0)
% 45.39/14.93  																																						| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.39/14.93  																																						|
% 45.39/14.93  																																							+-Applying beta-rule and splitting (1455), into two cases.
% 45.39/14.93  																																							|-Branch one:
% 45.39/14.93  																																							| (1456) all_0_91_91 = e0
% 45.39/14.93  																																							|
% 45.39/14.93  																																								| From (1456) and (1703) follows:
% 45.39/14.93  																																								| (2305) op(e2, e0) = e1
% 45.39/14.93  																																								|
% 45.39/14.93  																																								| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 45.39/14.93  																																								| (385) e2 = e1
% 45.39/14.93  																																								|
% 45.39/14.93  																																								| Equations (385) can reduce 243 to:
% 45.39/14.93  																																								| (311) $false
% 45.39/14.93  																																								|
% 45.39/14.93  																																								|-The branch is then unsatisfiable
% 45.39/14.93  																																							|-Branch two:
% 45.39/14.93  																																							| (1487)  ~ (all_0_91_91 = e0)
% 45.39/14.93  																																							| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.39/14.93  																																							|
% 45.39/14.93  																																								+-Applying beta-rule and splitting (1488), into two cases.
% 45.39/14.93  																																								|-Branch one:
% 45.39/14.93  																																								| (942) all_0_92_92 = e0
% 45.39/14.93  																																								|
% 45.39/14.93  																																									| Equations (942) can reduce 946 to:
% 45.39/14.93  																																									| (311) $false
% 45.39/14.93  																																									|
% 45.39/14.93  																																									|-The branch is then unsatisfiable
% 45.39/14.93  																																								|-Branch two:
% 45.39/14.93  																																								| (946)  ~ (all_0_92_92 = e0)
% 45.39/14.93  																																								| (604) all_0_93_93 = e0
% 45.39/14.93  																																								|
% 45.39/14.93  																																									| Combining equations (566,604) yields a new equation:
% 45.39/14.93  																																									| (1107) e1 = e0
% 45.39/14.93  																																									|
% 45.39/14.93  																																									| Simplifying 1107 yields:
% 45.39/14.93  																																									| (865) e1 = e0
% 45.39/14.93  																																									|
% 45.39/14.93  																																									| Equations (865) can reduce 264 to:
% 45.39/14.93  																																									| (311) $false
% 45.39/14.93  																																									|
% 45.39/14.93  																																									|-The branch is then unsatisfiable
% 45.39/14.93  																																					|-Branch two:
% 45.39/14.93  																																					| (481)  ~ (all_0_93_93 = e1)
% 45.39/14.93  																																					| (1543) all_0_98_98 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																						| Equations (1543) can reduce 1804 to:
% 45.39/14.93  																																						| (311) $false
% 45.39/14.93  																																						|
% 45.39/14.93  																																						|-The branch is then unsatisfiable
% 45.39/14.93  																																			|-Branch two:
% 45.39/14.93  																																			| (680)  ~ (all_0_95_95 = e1)
% 45.39/14.93  																																			| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.39/14.93  																																			|
% 45.39/14.93  																																				+-Applying beta-rule and splitting (176), into two cases.
% 45.39/14.93  																																				|-Branch one:
% 45.39/14.93  																																				| (785) all_0_95_95 = e1
% 45.39/14.93  																																				|
% 45.39/14.93  																																					| Equations (785) can reduce 680 to:
% 45.39/14.93  																																					| (311) $false
% 45.39/14.93  																																					|
% 45.39/14.93  																																					|-The branch is then unsatisfiable
% 45.39/14.93  																																				|-Branch two:
% 45.39/14.93  																																				| (680)  ~ (all_0_95_95 = e1)
% 45.39/14.93  																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.39/14.93  																																				|
% 45.39/14.93  																																					+-Applying beta-rule and splitting (788), into two cases.
% 45.39/14.93  																																					|-Branch one:
% 45.39/14.93  																																					| (960) all_0_96_96 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																						| Equations (960) can reduce 1479 to:
% 45.39/14.93  																																						| (311) $false
% 45.39/14.93  																																						|
% 45.39/14.93  																																						|-The branch is then unsatisfiable
% 45.39/14.93  																																					|-Branch two:
% 45.39/14.93  																																					| (1479)  ~ (all_0_96_96 = e1)
% 45.39/14.93  																																					| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																						+-Applying beta-rule and splitting (4), into two cases.
% 45.39/14.93  																																						|-Branch one:
% 45.39/14.93  																																						| (463) all_0_78_78 = e4
% 45.39/14.93  																																						|
% 45.39/14.93  																																							| Combining equations (400,463) yields a new equation:
% 45.39/14.93  																																							| (310) e4 = e2
% 45.39/14.93  																																							|
% 45.39/14.93  																																							| Equations (310) can reduce 79 to:
% 45.39/14.93  																																							| (311) $false
% 45.39/14.93  																																							|
% 45.39/14.93  																																							|-The branch is then unsatisfiable
% 45.39/14.93  																																						|-Branch two:
% 45.39/14.93  																																						| (640)  ~ (all_0_78_78 = e4)
% 45.39/14.93  																																						| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.39/14.93  																																						|
% 45.39/14.93  																																							+-Applying beta-rule and splitting (2126), into two cases.
% 45.39/14.93  																																							|-Branch one:
% 45.39/14.93  																																							| (542) all_0_97_97 = e1
% 45.39/14.93  																																							|
% 45.39/14.93  																																								| Combining equations (542,538) yields a new equation:
% 45.39/14.93  																																								| (385) e2 = e1
% 45.39/14.93  																																								|
% 45.39/14.93  																																								| Equations (385) can reduce 243 to:
% 45.39/14.93  																																								| (311) $false
% 45.39/14.93  																																								|
% 45.39/14.93  																																								|-The branch is then unsatisfiable
% 45.39/14.93  																																							|-Branch two:
% 45.39/14.93  																																							| (486)  ~ (all_0_97_97 = e1)
% 45.39/14.93  																																							| (1543) all_0_98_98 = e1
% 45.39/14.93  																																							|
% 45.39/14.93  																																								| Equations (1543) can reduce 13 to:
% 45.39/14.93  																																								| (481)  ~ (all_0_93_93 = e1)
% 45.39/14.93  																																								|
% 45.39/14.93  																																								| Equations (1543) can reduce 321 to:
% 45.39/14.93  																																								| (681)  ~ (e4 = e1)
% 45.39/14.93  																																								|
% 45.39/14.93  																																								| Simplifying 681 yields:
% 45.39/14.93  																																								| (256)  ~ (e4 = e1)
% 45.39/14.93  																																								|
% 45.39/14.93  																																								+-Applying beta-rule and splitting (132), into two cases.
% 45.39/14.93  																																								|-Branch one:
% 45.39/14.93  																																								| (750) all_0_90_90 = e1
% 45.39/14.93  																																								|
% 45.39/14.93  																																									+-Applying beta-rule and splitting (3625), into two cases.
% 45.39/14.93  																																									|-Branch one:
% 45.39/14.93  																																									| (469) all_0_82_82 = e4
% 45.39/14.93  																																									|
% 45.39/14.93  																																										| Combining equations (789,469) yields a new equation:
% 45.39/14.93  																																										| (434) e4 = e3
% 45.39/14.93  																																										|
% 45.39/14.93  																																										| Equations (434) can reduce 177 to:
% 45.39/14.93  																																										| (311) $false
% 45.39/14.93  																																										|
% 45.39/14.93  																																										|-The branch is then unsatisfiable
% 45.39/14.93  																																									|-Branch two:
% 45.39/14.93  																																									| (465)  ~ (all_0_82_82 = e4)
% 45.39/14.93  																																									| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.39/14.93  																																									|
% 45.39/14.93  																																										+-Applying beta-rule and splitting (3629), into two cases.
% 45.39/14.93  																																										|-Branch one:
% 45.39/14.93  																																										| (583) all_0_90_90 = e4
% 45.39/14.93  																																										|
% 45.39/14.93  																																											| Combining equations (750,583) yields a new equation:
% 45.39/14.93  																																											| (814) e4 = e1
% 45.39/14.93  																																											|
% 45.39/14.93  																																											| Equations (814) can reduce 256 to:
% 45.39/14.93  																																											| (311) $false
% 45.39/14.93  																																											|
% 45.39/14.93  																																											|-The branch is then unsatisfiable
% 45.39/14.93  																																										|-Branch two:
% 45.39/14.93  																																										| (467)  ~ (all_0_90_90 = e4)
% 45.39/14.93  																																										| (894) all_0_95_95 = e4
% 45.39/14.93  																																										|
% 45.39/14.93  																																											| Equations (894) can reduce 315 to:
% 45.39/14.93  																																											| (311) $false
% 45.39/14.93  																																											|
% 45.39/14.93  																																											|-The branch is then unsatisfiable
% 45.39/14.93  																																								|-Branch two:
% 45.39/14.93  																																								| (678)  ~ (all_0_90_90 = e1)
% 45.39/14.93  																																								| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.39/14.93  																																								|
% 45.39/14.93  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 45.39/14.93  																																									|-Branch one:
% 45.39/14.93  																																									| (801) all_0_91_91 = e1
% 45.39/14.93  																																									|
% 45.39/14.93  																																										| Equations (801) can reduce 959 to:
% 45.39/14.93  																																										| (311) $false
% 45.39/14.93  																																										|
% 45.39/14.93  																																										|-The branch is then unsatisfiable
% 45.39/14.93  																																									|-Branch two:
% 45.39/14.93  																																									| (959)  ~ (all_0_91_91 = e1)
% 45.39/14.93  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.39/14.93  																																									|
% 45.39/14.93  																																										+-Applying beta-rule and splitting (1556), into two cases.
% 45.39/14.93  																																										|-Branch one:
% 45.39/14.93  																																										| (836) all_0_92_92 = e1
% 45.39/14.93  																																										|
% 45.39/14.93  																																											| Equations (836) can reduce 840 to:
% 45.39/14.93  																																											| (311) $false
% 45.39/14.93  																																											|
% 45.39/14.93  																																											|-The branch is then unsatisfiable
% 45.39/14.93  																																										|-Branch two:
% 45.39/14.93  																																										| (840)  ~ (all_0_92_92 = e1)
% 45.39/14.93  																																										| (566) all_0_93_93 = e1
% 45.39/14.93  																																										|
% 45.39/14.93  																																											| Equations (566) can reduce 481 to:
% 45.39/14.93  																																											| (311) $false
% 45.39/14.93  																																											|
% 45.39/14.93  																																											|-The branch is then unsatisfiable
% 45.39/14.93  																																	|-Branch two:
% 45.39/14.93  																																	| (793)  ~ (all_0_82_82 = e3)
% 45.39/14.93  																																	| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.39/14.93  																																	|
% 45.39/14.93  																																		+-Applying beta-rule and splitting (2706), into two cases.
% 45.39/14.93  																																		|-Branch one:
% 45.39/14.93  																																		| (910) all_0_82_82 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																			| Equations (910) can reduce 914 to:
% 45.39/14.93  																																			| (311) $false
% 45.39/14.93  																																			|
% 45.39/14.93  																																			|-The branch is then unsatisfiable
% 45.39/14.93  																																		|-Branch two:
% 45.39/14.93  																																		| (914)  ~ (all_0_82_82 = e0)
% 45.39/14.93  																																		| (469) all_0_82_82 = e4
% 45.39/14.93  																																		|
% 45.39/14.93  																																			| Equations (469) can reduce 465 to:
% 45.39/14.93  																																			| (311) $false
% 45.39/14.93  																																			|
% 45.39/14.93  																																			|-The branch is then unsatisfiable
% 45.39/14.93  																													|-Branch two:
% 45.39/14.93  																													| (919)  ~ (all_0_84_84 = e0)
% 45.39/14.93  																													| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.39/14.93  																													|
% 45.39/14.93  																														+-Applying beta-rule and splitting (249), into two cases.
% 45.39/14.93  																														|-Branch one:
% 45.39/14.93  																														| (910) all_0_82_82 = e0
% 45.39/14.93  																														|
% 45.39/14.93  																															| Equations (910) can reduce 914 to:
% 45.39/14.93  																															| (311) $false
% 45.39/14.93  																															|
% 45.39/14.93  																															|-The branch is then unsatisfiable
% 45.39/14.93  																														|-Branch two:
% 45.39/14.93  																														| (914)  ~ (all_0_82_82 = e0)
% 45.39/14.93  																														| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.39/14.93  																														|
% 45.39/14.93  																															+-Applying beta-rule and splitting (920), into two cases.
% 45.39/14.93  																															|-Branch one:
% 45.39/14.93  																															| (861) all_0_87_87 = e0
% 45.39/14.93  																															|
% 45.39/14.93  																																| Combining equations (482,861) yields a new equation:
% 45.39/14.93  																																| (1107) e1 = e0
% 45.39/14.93  																																|
% 45.39/14.93  																																| Simplifying 1107 yields:
% 45.39/14.93  																																| (865) e1 = e0
% 45.39/14.93  																																|
% 45.39/14.93  																																| Equations (865) can reduce 264 to:
% 45.39/14.93  																																| (311) $false
% 45.39/14.93  																																|
% 45.39/14.93  																																|-The branch is then unsatisfiable
% 45.39/14.93  																															|-Branch two:
% 45.39/14.93  																															| (889)  ~ (all_0_87_87 = e0)
% 45.39/14.93  																															| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.39/14.93  																															|
% 45.39/14.93  																																+-Applying beta-rule and splitting (1309), into two cases.
% 45.39/14.93  																																|-Branch one:
% 45.39/14.93  																																| (798) all_0_83_83 = e0
% 45.39/14.93  																																|
% 45.39/14.93  																																	| Combining equations (798,453) yields a new equation:
% 45.39/14.93  																																	| (379) e2 = e0
% 45.39/14.93  																																	|
% 45.39/14.93  																																	| Equations (379) can reduce 76 to:
% 45.39/14.93  																																	| (311) $false
% 45.39/14.93  																																	|
% 45.39/14.93  																																	|-The branch is then unsatisfiable
% 45.39/14.93  																																|-Branch two:
% 45.39/14.93  																																| (1314)  ~ (all_0_83_83 = e0)
% 45.39/14.93  																																| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.39/14.93  																																|
% 45.39/14.93  																																	| Equations (453) can reduce 1314 to:
% 45.39/14.93  																																	| (76)  ~ (e2 = e0)
% 45.39/14.93  																																	|
% 45.39/14.93  																																	+-Applying beta-rule and splitting (931), into two cases.
% 45.39/14.93  																																	|-Branch one:
% 45.39/14.93  																																	| (942) all_0_92_92 = e0
% 45.39/14.93  																																	|
% 45.39/14.93  																																		| Equations (942) can reduce 87 to:
% 45.39/14.93  																																		| (919)  ~ (all_0_84_84 = e0)
% 45.39/14.93  																																		|
% 45.39/14.93  																																		| Equations (942) can reduce 265 to:
% 45.39/14.93  																																		| (1487)  ~ (all_0_91_91 = e0)
% 45.39/14.93  																																		|
% 45.39/14.93  																																		+-Applying beta-rule and splitting (1400), into two cases.
% 45.39/14.93  																																		|-Branch one:
% 45.39/14.93  																																		| (1456) all_0_91_91 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																			| Equations (1456) can reduce 1487 to:
% 45.39/14.93  																																			| (311) $false
% 45.39/14.93  																																			|
% 45.39/14.93  																																			|-The branch is then unsatisfiable
% 45.39/14.93  																																		|-Branch two:
% 45.39/14.93  																																		| (1487)  ~ (all_0_91_91 = e0)
% 45.39/14.93  																																		| (1837) all_0_96_96 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																			+-Applying beta-rule and splitting (1315), into two cases.
% 45.39/14.93  																																			|-Branch one:
% 45.39/14.93  																																			| (916) all_0_84_84 = e0
% 45.39/14.93  																																			|
% 45.39/14.93  																																				| Equations (916) can reduce 919 to:
% 45.39/14.93  																																				| (311) $false
% 45.39/14.93  																																				|
% 45.39/14.93  																																				|-The branch is then unsatisfiable
% 45.39/14.93  																																			|-Branch two:
% 45.39/14.93  																																			| (919)  ~ (all_0_84_84 = e0)
% 45.39/14.93  																																			| (954) all_0_85_85 = e0
% 45.39/14.93  																																			|
% 45.39/14.93  																																				| Equations (954) can reduce 128 to:
% 45.39/14.93  																																				| (859)  ~ (e1 = e0)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				| Simplifying 859 yields:
% 45.39/14.93  																																				| (264)  ~ (e1 = e0)
% 45.39/14.93  																																				|
% 45.39/14.93  																																				+-Applying beta-rule and splitting (285), into two cases.
% 45.39/14.93  																																				|-Branch one:
% 45.39/14.93  																																				| (1708) all_0_79_79 = e3
% 45.39/14.93  																																				|
% 45.39/14.93  																																					| Combining equations (1708,457) yields a new equation:
% 45.39/14.93  																																					| (825) e3 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																					| Simplifying 825 yields:
% 45.39/14.93  																																					| (772) e3 = e1
% 45.39/14.93  																																					|
% 45.39/14.93  																																					| Equations (772) can reduce 20 to:
% 45.39/14.93  																																					| (311) $false
% 45.39/14.93  																																					|
% 45.39/14.93  																																					|-The branch is then unsatisfiable
% 45.39/14.93  																																				|-Branch two:
% 45.39/14.93  																																				| (1711)  ~ (all_0_79_79 = e3)
% 45.39/14.93  																																				| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.39/14.93  																																				|
% 45.39/14.93  																																					+-Applying beta-rule and splitting (1712), into two cases.
% 45.39/14.93  																																					|-Branch one:
% 45.39/14.93  																																					| (795) all_0_83_83 = e3
% 45.39/14.93  																																					|
% 45.39/14.93  																																						| Combining equations (453,795) yields a new equation:
% 45.39/14.93  																																						| (548) e3 = e2
% 45.39/14.93  																																						|
% 45.39/14.93  																																						| Equations (548) can reduce 169 to:
% 45.39/14.93  																																						| (311) $false
% 45.39/14.93  																																						|
% 45.39/14.93  																																						|-The branch is then unsatisfiable
% 45.39/14.93  																																					|-Branch two:
% 45.39/14.93  																																					| (779)  ~ (all_0_83_83 = e3)
% 45.39/14.93  																																					| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 45.39/14.93  																																					|
% 45.39/14.93  																																						+-Applying beta-rule and splitting (1842), into two cases.
% 45.39/14.93  																																						|-Branch one:
% 45.39/14.93  																																						| (588) all_0_91_91 = e3
% 45.39/14.93  																																						|
% 45.39/14.93  																																							| From (588) and (1703) follows:
% 45.39/14.93  																																							| (1844) op(e2, e3) = e1
% 45.39/14.93  																																							|
% 45.39/14.93  																																							| Instantiating formula (262) with e2, e3, e1, e0 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 45.39/14.93  																																							| (865) e1 = e0
% 45.39/14.93  																																							|
% 45.39/14.93  																																							| Equations (865) can reduce 264 to:
% 45.39/14.93  																																							| (311) $false
% 45.39/14.93  																																							|
% 45.39/14.93  																																							|-The branch is then unsatisfiable
% 45.39/14.93  																																						|-Branch two:
% 45.39/14.93  																																						| (571)  ~ (all_0_91_91 = e3)
% 45.39/14.93  																																						| (778) all_0_96_96 = e3
% 45.39/14.93  																																						|
% 45.39/14.93  																																							| Combining equations (1837,778) yields a new equation:
% 45.39/14.93  																																							| (600) e3 = e0
% 45.39/14.93  																																							|
% 45.39/14.93  																																							| Equations (600) can reduce 50 to:
% 45.39/14.93  																																							| (311) $false
% 45.39/14.93  																																							|
% 45.39/14.93  																																							|-The branch is then unsatisfiable
% 45.39/14.93  																																	|-Branch two:
% 45.39/14.93  																																	| (946)  ~ (all_0_92_92 = e0)
% 45.39/14.93  																																	| (560) all_0_97_97 = e0
% 45.39/14.93  																																	|
% 45.39/14.93  																																		| Combining equations (538,560) yields a new equation:
% 45.39/14.93  																																		| (923) e2 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																		| Simplifying 923 yields:
% 45.39/14.93  																																		| (379) e2 = e0
% 45.39/14.93  																																		|
% 45.39/14.93  																																		| Equations (379) can reduce 76 to:
% 45.39/14.93  																																		| (311) $false
% 45.39/14.93  																																		|
% 45.39/14.93  																																		|-The branch is then unsatisfiable
% 45.39/14.93  																							|-Branch two:
% 45.39/14.93  																							| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.39/14.93  																							|
% 45.39/14.94  																								| Applying alpha-rule on (4957) yields:
% 45.39/14.94  																								| (4958) all_0_58_58 = e0
% 45.39/14.94  																								| (4959)  ~ (all_0_59_59 = e2)
% 45.39/14.94  																								|
% 45.39/14.94  																								| From (4958) and (212) follows:
% 45.39/14.94  																								| (4960) op(e2, all_0_96_96) = e0
% 45.39/14.94  																								|
% 45.39/14.94  																								+-Applying beta-rule and splitting (106), into two cases.
% 45.39/14.94  																								|-Branch one:
% 45.39/14.94  																								| (771) all_0_78_78 = e3
% 45.39/14.94  																								|
% 45.39/14.94  																									| Combining equations (400,771) yields a new equation:
% 45.39/14.94  																									| (548) e3 = e2
% 45.39/14.94  																									|
% 45.39/14.94  																									| Equations (548) can reduce 169 to:
% 45.39/14.94  																									| (311) $false
% 45.39/14.94  																									|
% 45.39/14.94  																									|-The branch is then unsatisfiable
% 45.39/14.94  																								|-Branch two:
% 45.39/14.94  																								| (418)  ~ (all_0_78_78 = e3)
% 45.39/14.94  																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 45.39/14.94  																								|
% 45.39/14.94  																									+-Applying beta-rule and splitting (45), into two cases.
% 45.39/14.94  																									|-Branch one:
% 45.39/14.94  																									| (546) all_0_80_80 = e2
% 45.39/14.94  																									|
% 45.39/14.94  																										| Equations (546) can reduce 394 to:
% 45.39/14.94  																										| (311) $false
% 45.39/14.94  																										|
% 45.39/14.94  																										|-The branch is then unsatisfiable
% 45.39/14.94  																									|-Branch two:
% 45.39/14.94  																									| (394)  ~ (all_0_80_80 = e2)
% 45.39/14.94  																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 45.39/14.94  																									|
% 45.39/14.94  																										+-Applying beta-rule and splitting (84), into two cases.
% 45.39/14.94  																										|-Branch one:
% 45.39/14.94  																										| (1704) all_0_96_96 = e2
% 45.39/14.94  																										|
% 45.39/14.94  																											| Equations (1704) can reduce 1638 to:
% 45.39/14.94  																											| (311) $false
% 45.39/14.94  																											|
% 45.39/14.94  																											|-The branch is then unsatisfiable
% 45.39/14.94  																										|-Branch two:
% 45.39/14.94  																										| (1638)  ~ (all_0_96_96 = e2)
% 45.39/14.94  																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.39/14.94  																										|
% 45.39/14.94  																											+-Applying beta-rule and splitting (108), into two cases.
% 45.39/14.94  																											|-Branch one:
% 45.39/14.94  																											| (477) all_0_81_81 = e1
% 45.39/14.94  																											|
% 45.39/14.94  																												| Equations (477) can reduce 628 to:
% 45.39/14.94  																												| (311) $false
% 45.39/14.94  																												|
% 45.39/14.94  																												|-The branch is then unsatisfiable
% 45.39/14.94  																											|-Branch two:
% 45.39/14.94  																											| (628)  ~ (all_0_81_81 = e1)
% 45.39/14.94  																											| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 45.39/14.94  																											|
% 45.39/14.94  																												+-Applying beta-rule and splitting (2), into two cases.
% 45.39/14.94  																												|-Branch one:
% 45.39/14.94  																												| (916) all_0_84_84 = e0
% 45.39/14.94  																												|
% 45.39/14.94  																													| Equations (916) can reduce 7 to:
% 45.39/14.94  																													| (914)  ~ (all_0_82_82 = e0)
% 45.39/14.94  																													|
% 45.39/14.94  																													| Equations (916) can reduce 154 to:
% 45.39/14.94  																													| (799)  ~ (all_0_85_85 = e0)
% 45.39/14.94  																													|
% 45.39/14.94  																													| Simplifying 799 yields:
% 45.39/14.94  																													| (800)  ~ (all_0_85_85 = e0)
% 45.39/14.94  																													|
% 45.39/14.94  																													| Equations (916) can reduce 87 to:
% 45.39/14.94  																													| (2299)  ~ (all_0_92_92 = e0)
% 45.39/14.94  																													|
% 45.39/14.94  																													| Simplifying 2299 yields:
% 45.39/14.94  																													| (946)  ~ (all_0_92_92 = e0)
% 45.39/14.94  																													|
% 45.39/14.94  																													| From (916) and (122) follows:
% 45.39/14.94  																													| (1321) op(e1, e0) = all_0_62_62
% 45.39/14.94  																													|
% 45.39/14.94  																													| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 45.39/14.94  																													| (1367) all_0_62_62 = all_0_93_93
% 45.39/14.94  																													|
% 45.39/14.94  																													+-Applying beta-rule and splitting (109), into two cases.
% 45.39/14.94  																													|-Branch one:
% 45.39/14.94  																													| (469) all_0_82_82 = e4
% 45.39/14.94  																													|
% 45.39/14.94  																														| Equations (469) can reduce 209 to:
% 45.39/14.94  																														| (647)  ~ (all_0_85_85 = e4)
% 45.39/14.94  																														|
% 45.39/14.94  																														| Simplifying 647 yields:
% 45.39/14.94  																														| (648)  ~ (all_0_85_85 = e4)
% 45.39/14.94  																														|
% 45.39/14.94  																														| Equations (469) can reduce 255 to:
% 45.39/14.94  																														| (466)  ~ (all_0_90_90 = e4)
% 45.39/14.94  																														|
% 45.39/14.94  																														| Simplifying 466 yields:
% 45.39/14.94  																														| (467)  ~ (all_0_90_90 = e4)
% 45.39/14.94  																														|
% 45.39/14.94  																														+-Applying beta-rule and splitting (182), into two cases.
% 45.39/14.94  																														|-Branch one:
% 45.39/14.94  																														| (512) all_0_85_85 = e2
% 45.39/14.94  																														|
% 45.39/14.94  																															| Equations (512) can reduce 515 to:
% 45.39/14.94  																															| (311) $false
% 45.39/14.94  																															|
% 45.39/14.94  																															|-The branch is then unsatisfiable
% 45.39/14.94  																														|-Branch two:
% 45.39/14.94  																														| (515)  ~ (all_0_85_85 = e2)
% 45.39/14.94  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.39/14.94  																														|
% 45.39/14.94  																															+-Applying beta-rule and splitting (725), into two cases.
% 45.39/14.94  																															|-Branch one:
% 45.39/14.94  																															| (804) all_0_85_85 = e3
% 45.39/14.94  																															|
% 45.39/14.94  																																| Equations (804) can reduce 118 to:
% 45.39/14.94  																																| (420)  ~ (all_0_81_81 = e3)
% 45.39/14.94  																																|
% 45.39/14.94  																																| Equations (804) can reduce 201 to:
% 45.39/14.94  																																| (807)  ~ (all_0_93_93 = e3)
% 45.39/14.94  																																|
% 45.39/14.94  																																| Simplifying 807 yields:
% 45.39/14.94  																																| (602)  ~ (all_0_93_93 = e3)
% 45.39/14.94  																																|
% 45.39/14.94  																																| Equations (804) can reduce 648 to:
% 45.39/14.94  																																| (783)  ~ (e4 = e3)
% 45.39/14.94  																																|
% 45.39/14.94  																																| Simplifying 783 yields:
% 45.39/14.94  																																| (177)  ~ (e4 = e3)
% 45.39/14.94  																																|
% 45.39/14.94  																																| Equations (804) can reduce 128 to:
% 45.39/14.94  																																| (20)  ~ (e3 = e1)
% 45.39/14.94  																																|
% 45.39/14.94  																																| From (804) and (26) follows:
% 45.39/14.94  																																| (1891) op(e0, e3) = all_0_71_71
% 45.39/14.94  																																|
% 45.39/14.94  																																+-Applying beta-rule and splitting (1756), into two cases.
% 45.39/14.94  																																|-Branch one:
% 45.39/14.94  																																| (1708) all_0_79_79 = e3
% 45.39/14.94  																																|
% 45.39/14.94  																																	| Combining equations (457,1708) yields a new equation:
% 45.39/14.94  																																	| (772) e3 = e1
% 45.39/14.94  																																	|
% 45.39/14.94  																																	| Equations (772) can reduce 20 to:
% 45.39/14.94  																																	| (311) $false
% 45.39/14.94  																																	|
% 45.39/14.94  																																	|-The branch is then unsatisfiable
% 45.39/14.94  																																|-Branch two:
% 45.39/14.94  																																| (1711)  ~ (all_0_79_79 = e3)
% 45.39/14.94  																																| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 45.39/14.94  																																|
% 45.39/14.94  																																	+-Applying beta-rule and splitting (123), into two cases.
% 45.39/14.94  																																	|-Branch one:
% 45.39/14.94  																																	| (473) all_0_81_81 = e2
% 45.39/14.94  																																	|
% 45.39/14.94  																																		| Equations (473) can reduce 396 to:
% 45.39/14.94  																																		| (311) $false
% 45.39/14.94  																																		|
% 45.39/14.94  																																		|-The branch is then unsatisfiable
% 45.39/14.94  																																	|-Branch two:
% 45.39/14.94  																																	| (396)  ~ (all_0_81_81 = e2)
% 45.39/14.94  																																	| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.39/14.94  																																	|
% 45.52/14.94  																																		+-Applying beta-rule and splitting (1768), into two cases.
% 45.52/14.94  																																		|-Branch one:
% 45.52/14.94  																																		| (416) all_0_80_80 = e3
% 45.52/14.94  																																		|
% 45.52/14.94  																																			| Equations (416) can reduce 394 to:
% 45.52/14.94  																																			| (169)  ~ (e3 = e2)
% 45.52/14.94  																																			|
% 45.52/14.94  																																			| Equations (416) can reduce 828 to:
% 45.52/14.94  																																			| (20)  ~ (e3 = e1)
% 45.52/14.94  																																			|
% 45.52/14.94  																																			| From (416) and (233) follows:
% 45.52/14.94  																																			| (432) op(e1, e3) = all_0_60_60
% 45.52/14.94  																																			|
% 45.52/14.94  																																			+-Applying beta-rule and splitting (641), into two cases.
% 45.52/14.94  																																			|-Branch one:
% 45.52/14.94  																																			| (433) all_0_80_80 = e4
% 45.52/14.94  																																			|
% 45.52/14.94  																																				| Combining equations (416,433) yields a new equation:
% 45.52/14.94  																																				| (434) e4 = e3
% 45.52/14.94  																																				|
% 45.52/14.94  																																				| Equations (434) can reduce 177 to:
% 45.52/14.94  																																				| (311) $false
% 45.52/14.94  																																				|
% 45.52/14.94  																																				|-The branch is then unsatisfiable
% 45.52/14.94  																																			|-Branch two:
% 45.52/14.94  																																			| (436)  ~ (all_0_80_80 = e4)
% 45.52/14.94  																																			| (638) all_0_81_81 = e4
% 45.52/14.94  																																			|
% 45.52/14.94  																																				| Equations (638) can reduce 277 to:
% 45.52/14.94  																																				| (495)  ~ (all_0_93_93 = e4)
% 45.52/14.94  																																				|
% 45.52/14.94  																																				| Simplifying 495 yields:
% 45.52/14.94  																																				| (496)  ~ (all_0_93_93 = e4)
% 45.52/14.94  																																				|
% 45.52/14.94  																																				| Equations (638) can reduce 396 to:
% 45.52/14.94  																																				| (79)  ~ (e4 = e2)
% 45.52/14.94  																																				|
% 45.52/14.94  																																				| From (638) and (68) follows:
% 45.52/14.94  																																				| (657) op(e4, e4) = all_0_70_70
% 45.52/14.94  																																				|
% 45.52/14.94  																																				+-Applying beta-rule and splitting (46), into two cases.
% 45.52/14.94  																																				|-Branch one:
% 45.52/14.94  																																				| (308) all_0_89_89 = e4
% 45.52/14.94  																																				|
% 45.52/14.94  																																					| Combining equations (292,308) yields a new equation:
% 45.52/14.94  																																					| (310) e4 = e2
% 45.52/14.94  																																					|
% 45.52/14.94  																																					| Equations (310) can reduce 79 to:
% 45.52/14.94  																																					| (311) $false
% 45.52/14.94  																																					|
% 45.52/14.94  																																					|-The branch is then unsatisfiable
% 45.52/14.94  																																				|-Branch two:
% 45.52/14.94  																																				| (312)  ~ (all_0_89_89 = e4)
% 45.52/14.94  																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.52/14.94  																																				|
% 45.52/14.94  																																					+-Applying beta-rule and splitting (1915), into two cases.
% 45.52/14.94  																																					|-Branch one:
% 45.52/14.94  																																					| (583) all_0_90_90 = e4
% 45.52/14.94  																																					|
% 45.52/14.94  																																						| Equations (583) can reduce 467 to:
% 45.52/14.94  																																						| (311) $false
% 45.52/14.94  																																						|
% 45.52/14.94  																																						|-The branch is then unsatisfiable
% 45.52/14.94  																																					|-Branch two:
% 45.52/14.94  																																					| (467)  ~ (all_0_90_90 = e4)
% 45.52/14.94  																																					| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 45.52/14.94  																																					|
% 45.52/14.94  																																						+-Applying beta-rule and splitting (1928), into two cases.
% 45.52/14.94  																																						|-Branch one:
% 45.52/14.94  																																						| (442) all_0_92_92 = e4
% 45.52/14.94  																																						|
% 45.52/14.94  																																							| Combining equations (442,5478) yields a new equation:
% 45.52/14.94  																																							| (575) all_0_64_64 = e4
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Equations (442) can reduce 72 to:
% 45.52/14.94  																																							| (467)  ~ (all_0_90_90 = e4)
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Equations (442) can reduce 298 to:
% 45.52/14.94  																																							| (79)  ~ (e4 = e2)
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Equations (442) can reduce 840 to:
% 45.52/14.94  																																							| (256)  ~ (e4 = e1)
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 45.52/14.94  																																							| (686) all_0_70_70 = e0
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 45.52/14.94  																																							| (451) all_0_60_60 = all_0_90_90
% 45.52/14.94  																																							|
% 45.52/14.94  																																							| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 45.52/14.94  																																							| (14316) all_0_71_71 = all_0_95_95
% 45.52/14.94  																																							|
% 45.52/14.94  																																							+-Applying beta-rule and splitting (276), into two cases.
% 45.52/14.94  																																							|-Branch one:
% 45.52/14.94  																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.52/14.94  																																							|
% 45.52/14.94  																																								+-Applying beta-rule and splitting (577), into two cases.
% 45.52/14.94  																																								|-Branch one:
% 45.52/14.94  																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.52/14.94  																																								|
% 45.52/14.94  																																									+-Applying beta-rule and splitting (578), into two cases.
% 45.52/14.94  																																									|-Branch one:
% 45.52/14.94  																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.52/14.94  																																									|
% 45.52/14.94  																																										| Applying alpha-rule on (579) yields:
% 45.52/14.94  																																										| (580) all_0_60_60 = e4
% 45.52/14.94  																																										| (581)  ~ (all_0_61_61 = e1)
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Combining equations (580,451) yields a new equation:
% 45.52/14.94  																																										| (583) all_0_90_90 = e4
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Equations (583) can reduce 467 to:
% 45.52/14.94  																																										| (311) $false
% 45.52/14.94  																																										|
% 45.52/14.94  																																										|-The branch is then unsatisfiable
% 45.52/14.94  																																									|-Branch two:
% 45.52/14.94  																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.52/14.94  																																									|
% 45.52/14.94  																																										| Applying alpha-rule on (585) yields:
% 45.52/14.94  																																										| (586) all_0_62_62 = e3
% 45.52/14.94  																																										| (587)  ~ (all_0_63_63 = e1)
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Combining equations (586,1367) yields a new equation:
% 45.52/14.94  																																										| (570) all_0_93_93 = e3
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Equations (570) can reduce 602 to:
% 45.52/14.94  																																										| (311) $false
% 45.52/14.94  																																										|
% 45.52/14.94  																																										|-The branch is then unsatisfiable
% 45.52/14.94  																																								|-Branch two:
% 45.52/14.94  																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.52/14.94  																																								|
% 45.52/14.94  																																									| Applying alpha-rule on (590) yields:
% 45.52/14.94  																																									| (591) all_0_64_64 = e2
% 45.52/14.94  																																									| (592)  ~ (all_0_65_65 = e1)
% 45.52/14.94  																																									|
% 45.52/14.94  																																									| Combining equations (591,575) yields a new equation:
% 45.52/14.94  																																									| (310) e4 = e2
% 45.52/14.94  																																									|
% 45.52/14.94  																																									| Equations (310) can reduce 79 to:
% 45.52/14.94  																																									| (311) $false
% 45.52/14.94  																																									|
% 45.52/14.94  																																									|-The branch is then unsatisfiable
% 45.52/14.94  																																							|-Branch two:
% 45.52/14.94  																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.52/14.94  																																							|
% 45.52/14.94  																																								| Applying alpha-rule on (596) yields:
% 45.52/14.94  																																								| (597) all_0_67_67 = e0
% 45.52/14.94  																																								| (598)  ~ (all_0_68_68 = e1)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Combining equations (597,4077) yields a new equation:
% 45.52/14.94  																																								| (1456) all_0_91_91 = e0
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Equations (1368) can reduce 598 to:
% 45.52/14.94  																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Equations (1456) can reduce 64 to:
% 45.52/14.94  																																								| (2296)  ~ (all_0_96_96 = e0)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Simplifying 2296 yields:
% 45.52/14.94  																																								| (2095)  ~ (all_0_96_96 = e0)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Equations (1456) can reduce 959 to:
% 45.52/14.94  																																								| (859)  ~ (e1 = e0)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								| Simplifying 859 yields:
% 45.52/14.94  																																								| (264)  ~ (e1 = e0)
% 45.52/14.94  																																								|
% 45.52/14.94  																																								+-Applying beta-rule and splitting (1707), into two cases.
% 45.52/14.94  																																								|-Branch one:
% 45.52/14.94  																																								| (960) all_0_96_96 = e1
% 45.52/14.94  																																								|
% 45.52/14.94  																																									| Equations (960) can reduce 1479 to:
% 45.52/14.94  																																									| (311) $false
% 45.52/14.94  																																									|
% 45.52/14.94  																																									|-The branch is then unsatisfiable
% 45.52/14.94  																																								|-Branch two:
% 45.52/14.94  																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.52/14.94  																																								| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.52/14.94  																																								|
% 45.52/14.94  																																									+-Applying beta-rule and splitting (285), into two cases.
% 45.52/14.94  																																									|-Branch one:
% 45.52/14.94  																																									| (1708) all_0_79_79 = e3
% 45.52/14.94  																																									|
% 45.52/14.94  																																										| Combining equations (457,1708) yields a new equation:
% 45.52/14.94  																																										| (772) e3 = e1
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Equations (772) can reduce 20 to:
% 45.52/14.94  																																										| (311) $false
% 45.52/14.94  																																										|
% 45.52/14.94  																																										|-The branch is then unsatisfiable
% 45.52/14.94  																																									|-Branch two:
% 45.52/14.94  																																									| (1711)  ~ (all_0_79_79 = e3)
% 45.52/14.94  																																									| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.52/14.94  																																									|
% 45.52/14.94  																																										| Equations (457) can reduce 1711 to:
% 45.52/14.94  																																										| (683)  ~ (e3 = e1)
% 45.52/14.94  																																										|
% 45.52/14.94  																																										| Simplifying 683 yields:
% 45.52/14.94  																																										| (20)  ~ (e3 = e1)
% 45.52/14.94  																																										|
% 45.52/14.94  																																										+-Applying beta-rule and splitting (282), into two cases.
% 45.52/14.94  																																										|-Branch one:
% 45.52/14.94  																																										| (754) all_0_90_90 = e3
% 45.52/14.94  																																										|
% 45.52/14.94  																																											| Equations (754) can reduce 229 to:
% 45.52/14.94  																																											| (1070)  ~ (all_0_95_95 = e3)
% 45.52/14.94  																																											|
% 45.52/14.94  																																											| Simplifying 1070 yields:
% 45.52/14.94  																																											| (765)  ~ (all_0_95_95 = e3)
% 45.52/14.94  																																											|
% 45.52/14.94  																																											+-Applying beta-rule and splitting (132), into two cases.
% 45.52/14.94  																																											|-Branch one:
% 45.52/14.94  																																											| (750) all_0_90_90 = e1
% 45.52/14.94  																																											|
% 45.52/14.94  																																												| Combining equations (754,750) yields a new equation:
% 45.52/14.94  																																												| (825) e3 = e1
% 45.52/14.94  																																												|
% 45.52/14.94  																																												| Simplifying 825 yields:
% 45.52/14.94  																																												| (772) e3 = e1
% 45.52/14.94  																																												|
% 45.52/14.94  																																												| Equations (772) can reduce 20 to:
% 45.52/14.94  																																												| (311) $false
% 45.52/14.94  																																												|
% 45.52/14.94  																																												|-The branch is then unsatisfiable
% 45.52/14.94  																																											|-Branch two:
% 45.52/14.94  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.52/14.94  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.52/14.94  																																											|
% 45.52/14.94  																																												+-Applying beta-rule and splitting (1526), into two cases.
% 45.52/14.94  																																												|-Branch one:
% 45.52/14.94  																																												| (801) all_0_91_91 = e1
% 45.52/14.94  																																												|
% 45.52/14.94  																																													| Combining equations (1456,801) yields a new equation:
% 45.52/14.94  																																													| (865) e1 = e0
% 45.52/14.94  																																													|
% 45.52/14.94  																																													| Equations (865) can reduce 264 to:
% 45.52/14.94  																																													| (311) $false
% 45.52/14.94  																																													|
% 45.52/14.94  																																													|-The branch is then unsatisfiable
% 45.52/14.94  																																												|-Branch two:
% 45.52/14.94  																																												| (959)  ~ (all_0_91_91 = e1)
% 45.52/14.94  																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.52/14.94  																																												|
% 45.52/14.94  																																													+-Applying beta-rule and splitting (89), into two cases.
% 45.52/14.94  																																													|-Branch one:
% 45.52/14.94  																																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.52/14.94  																																													|
% 45.52/14.94  																																														+-Applying beta-rule and splitting (1373), into two cases.
% 45.52/14.94  																																														|-Branch one:
% 45.52/14.94  																																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.52/14.94  																																														|
% 45.52/14.94  																																															+-Applying beta-rule and splitting (1374), into two cases.
% 45.52/14.94  																																															|-Branch one:
% 45.52/14.94  																																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.52/14.94  																																															|
% 45.52/14.94  																																																| Applying alpha-rule on (1375) yields:
% 45.52/14.94  																																																| (1376) all_0_69_69 = e4
% 45.52/14.94  																																																| (1377)  ~ (all_0_70_70 = e0)
% 45.52/14.94  																																																|
% 45.52/14.94  																																																| Equations (686) can reduce 1377 to:
% 45.52/14.94  																																																| (311) $false
% 45.52/14.94  																																																|
% 45.52/14.94  																																																|-The branch is then unsatisfiable
% 45.52/14.94  																																															|-Branch two:
% 45.52/14.95  																																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.52/14.95  																																															|
% 45.52/14.95  																																																| Applying alpha-rule on (1379) yields:
% 45.52/14.95  																																																| (1380) all_0_71_71 = e3
% 45.52/14.95  																																																| (1381)  ~ (all_0_72_72 = e0)
% 45.52/14.95  																																																|
% 45.52/14.95  																																																| Combining equations (1380,14316) yields a new equation:
% 45.52/14.95  																																																| (744) all_0_95_95 = e3
% 45.52/14.95  																																																|
% 45.52/14.95  																																																| Equations (744) can reduce 765 to:
% 45.52/14.95  																																																| (311) $false
% 45.52/14.95  																																																|
% 45.52/14.95  																																																|-The branch is then unsatisfiable
% 45.52/14.95  																																														|-Branch two:
% 45.52/14.95  																																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.52/14.95  																																														|
% 45.52/14.95  																																															| Applying alpha-rule on (1385) yields:
% 45.52/14.95  																																															| (1386) all_0_73_73 = e2
% 45.52/14.95  																																															| (1387)  ~ (all_0_74_74 = e0)
% 45.52/14.95  																																															|
% 45.54/14.95  																																															| Combining equations (1386,18823) yields a new equation:
% 45.54/14.95  																																															| (1704) all_0_96_96 = e2
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Equations (1704) can reduce 1638 to:
% 45.54/14.95  																																															| (311) $false
% 45.54/14.95  																																															|
% 45.54/14.95  																																															|-The branch is then unsatisfiable
% 45.54/14.95  																																													|-Branch two:
% 45.54/14.95  																																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.54/14.95  																																													|
% 45.54/14.95  																																														| Applying alpha-rule on (1391) yields:
% 45.54/14.95  																																														| (1392) all_0_75_75 = e1
% 45.54/14.95  																																														| (1393)  ~ (all_0_76_76 = e0)
% 45.54/14.95  																																														|
% 45.54/14.95  																																														| From (1392) and (173) follows:
% 45.54/14.95  																																														| (1394) op(e0, all_0_93_93) = e1
% 45.54/14.95  																																														|
% 45.54/14.95  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 45.54/14.95  																																														|-Branch one:
% 45.54/14.95  																																														| (836) all_0_92_92 = e1
% 45.54/14.95  																																														|
% 45.54/14.95  																																															| Combining equations (442,836) yields a new equation:
% 45.54/14.95  																																															| (813) e4 = e1
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Simplifying 813 yields:
% 45.54/14.95  																																															| (814) e4 = e1
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Equations (814) can reduce 256 to:
% 45.54/14.95  																																															| (311) $false
% 45.54/14.95  																																															|
% 45.54/14.95  																																															|-The branch is then unsatisfiable
% 45.54/14.95  																																														|-Branch two:
% 45.54/14.95  																																														| (840)  ~ (all_0_92_92 = e1)
% 45.54/14.95  																																														| (566) all_0_93_93 = e1
% 45.54/14.95  																																														|
% 45.54/14.95  																																															| Equations (566) can reduce 13 to:
% 45.54/14.95  																																															| (1803)  ~ (all_0_98_98 = e1)
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Simplifying 1803 yields:
% 45.54/14.95  																																															| (1804)  ~ (all_0_98_98 = e1)
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Equations (566) can reduce 300 to:
% 45.54/14.95  																																															| (487)  ~ (e2 = e1)
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Simplifying 487 yields:
% 45.54/14.95  																																															| (243)  ~ (e2 = e1)
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| From (566) and (1394) follows:
% 45.54/14.95  																																															| (2475) op(e0, e1) = e1
% 45.54/14.95  																																															|
% 45.54/14.95  																																															+-Applying beta-rule and splitting (176), into two cases.
% 45.54/14.95  																																															|-Branch one:
% 45.54/14.95  																																															| (785) all_0_95_95 = e1
% 45.54/14.95  																																															|
% 45.54/14.95  																																																| Equations (785) can reduce 355 to:
% 45.54/14.95  																																																| (487)  ~ (e2 = e1)
% 45.54/14.95  																																																|
% 45.54/14.95  																																																| Simplifying 487 yields:
% 45.54/14.95  																																																| (243)  ~ (e2 = e1)
% 45.54/14.95  																																																|
% 45.54/14.95  																																																| Instantiating formula (262) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 45.54/14.95  																																																| (385) e2 = e1
% 45.54/14.95  																																																|
% 45.54/14.95  																																																| Equations (385) can reduce 243 to:
% 45.54/14.95  																																																| (311) $false
% 45.54/14.95  																																																|
% 45.54/14.95  																																																|-The branch is then unsatisfiable
% 45.54/14.95  																																															|-Branch two:
% 45.54/14.95  																																															| (680)  ~ (all_0_95_95 = e1)
% 45.54/14.95  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/14.95  																																															|
% 45.54/14.95  																																																+-Applying beta-rule and splitting (788), into two cases.
% 45.54/14.95  																																																|-Branch one:
% 45.54/14.95  																																																| (960) all_0_96_96 = e1
% 45.54/14.95  																																																|
% 45.54/14.95  																																																	| Equations (960) can reduce 1479 to:
% 45.54/14.95  																																																	| (311) $false
% 45.54/14.95  																																																	|
% 45.54/14.95  																																																	|-The branch is then unsatisfiable
% 45.54/14.95  																																																|-Branch two:
% 45.54/14.95  																																																| (1479)  ~ (all_0_96_96 = e1)
% 45.54/14.95  																																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/14.95  																																																|
% 45.54/14.95  																																																	+-Applying beta-rule and splitting (2126), into two cases.
% 45.54/14.95  																																																	|-Branch one:
% 45.54/14.95  																																																	| (542) all_0_97_97 = e1
% 45.54/14.95  																																																	|
% 45.54/14.95  																																																		| Combining equations (538,542) yields a new equation:
% 45.54/14.95  																																																		| (408) e2 = e1
% 45.54/14.95  																																																		|
% 45.54/14.95  																																																		| Simplifying 408 yields:
% 45.54/14.95  																																																		| (385) e2 = e1
% 45.54/14.95  																																																		|
% 45.54/14.95  																																																		| Equations (385) can reduce 243 to:
% 45.54/14.95  																																																		| (311) $false
% 45.54/14.95  																																																		|
% 45.54/14.95  																																																		|-The branch is then unsatisfiable
% 45.54/14.95  																																																	|-Branch two:
% 45.54/14.95  																																																	| (486)  ~ (all_0_97_97 = e1)
% 45.54/14.95  																																																	| (1543) all_0_98_98 = e1
% 45.54/14.95  																																																	|
% 45.54/14.95  																																																		| Equations (1543) can reduce 1804 to:
% 45.54/14.95  																																																		| (311) $false
% 45.54/14.95  																																																		|
% 45.54/14.95  																																																		|-The branch is then unsatisfiable
% 45.54/14.95  																																										|-Branch two:
% 45.54/14.95  																																										| (745)  ~ (all_0_90_90 = e3)
% 45.54/14.95  																																										| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.54/14.95  																																										|
% 45.54/14.95  																																											+-Applying beta-rule and splitting (220), into two cases.
% 45.54/14.95  																																											|-Branch one:
% 45.54/14.95  																																											| (771) all_0_78_78 = e3
% 45.54/14.95  																																											|
% 45.54/14.95  																																												| Combining equations (400,771) yields a new equation:
% 45.54/14.95  																																												| (548) e3 = e2
% 45.54/14.95  																																												|
% 45.54/14.95  																																												| Equations (548) can reduce 169 to:
% 45.54/14.95  																																												| (311) $false
% 45.54/14.95  																																												|
% 45.54/14.95  																																												|-The branch is then unsatisfiable
% 45.54/14.95  																																											|-Branch two:
% 45.54/14.95  																																											| (418)  ~ (all_0_78_78 = e3)
% 45.54/14.95  																																											| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.54/14.95  																																											|
% 45.54/14.95  																																												+-Applying beta-rule and splitting (2016), into two cases.
% 45.54/14.95  																																												|-Branch one:
% 45.54/14.95  																																												| (778) all_0_96_96 = e3
% 45.54/14.95  																																												|
% 45.54/14.95  																																													| Equations (778) can reduce 115 to:
% 45.54/14.95  																																													| (783)  ~ (e4 = e3)
% 45.54/14.95  																																													|
% 45.54/14.95  																																													| Simplifying 783 yields:
% 45.54/14.95  																																													| (177)  ~ (e4 = e3)
% 45.54/14.95  																																													|
% 45.54/14.95  																																													| Equations (778) can reduce 2095 to:
% 45.54/14.95  																																													| (50)  ~ (e3 = e0)
% 45.54/14.95  																																													|
% 45.54/14.95  																																													+-Applying beta-rule and splitting (849), into two cases.
% 45.54/14.95  																																													|-Branch one:
% 45.54/14.95  																																													| (588) all_0_91_91 = e3
% 45.54/14.95  																																													|
% 45.54/14.95  																																														| Combining equations (1456,588) yields a new equation:
% 45.54/14.95  																																														| (600) e3 = e0
% 45.54/14.95  																																														|
% 45.54/14.95  																																														| Equations (600) can reduce 50 to:
% 45.54/14.95  																																														| (311) $false
% 45.54/14.95  																																														|
% 45.54/14.95  																																														|-The branch is then unsatisfiable
% 45.54/14.95  																																													|-Branch two:
% 45.54/14.95  																																													| (571)  ~ (all_0_91_91 = e3)
% 45.54/14.95  																																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.54/14.95  																																													|
% 45.54/14.95  																																														+-Applying beta-rule and splitting (775), into two cases.
% 45.54/14.95  																																														|-Branch one:
% 45.54/14.95  																																														| (789) all_0_82_82 = e3
% 45.54/14.95  																																														|
% 45.54/14.95  																																															| Combining equations (469,789) yields a new equation:
% 45.54/14.95  																																															| (790) e4 = e3
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Simplifying 790 yields:
% 45.54/14.95  																																															| (434) e4 = e3
% 45.54/14.95  																																															|
% 45.54/14.95  																																															| Equations (434) can reduce 177 to:
% 45.54/14.95  																																															| (311) $false
% 45.54/14.95  																																															|
% 45.54/14.95  																																															|-The branch is then unsatisfiable
% 45.54/14.95  																																														|-Branch two:
% 45.54/14.95  																																														| (793)  ~ (all_0_82_82 = e3)
% 45.54/14.95  																																														| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 45.54/14.95  																																														|
% 45.54/14.95  																																															| Equations (469) can reduce 793 to:
% 45.54/14.95  																																															| (177)  ~ (e4 = e3)
% 45.54/14.95  																																															|
% 45.54/14.95  																																															+-Applying beta-rule and splitting (881), into two cases.
% 45.54/14.95  																																															|-Branch one:
% 45.54/14.95  																																															| (882) all_0_92_92 = e3
% 45.54/14.95  																																															|
% 45.54/14.95  																																																| Combining equations (442,882) yields a new equation:
% 45.54/14.95  																																																| (790) e4 = e3
% 45.54/14.95  																																																|
% 45.54/14.95  																																																| Simplifying 790 yields:
% 45.54/14.95  																																																| (434) e4 = e3
% 45.54/14.95  																																																|
% 45.54/14.95  																																																| Equations (434) can reduce 177 to:
% 45.54/14.95  																																																| (311) $false
% 45.54/14.95  																																																|
% 45.54/14.95  																																																|-The branch is then unsatisfiable
% 45.54/14.95  																																															|-Branch two:
% 45.54/14.95  																																															| (426)  ~ (all_0_92_92 = e3)
% 45.54/14.95  																																															| (570) all_0_93_93 = e3
% 45.54/14.95  																																															|
% 45.54/14.95  																																																| Equations (570) can reduce 602 to:
% 45.54/14.95  																																																| (311) $false
% 45.54/14.95  																																																|
% 45.54/14.95  																																																|-The branch is then unsatisfiable
% 45.54/14.95  																																												|-Branch two:
% 45.54/14.95  																																												| (964)  ~ (all_0_96_96 = e3)
% 45.54/14.95  																																												| (1837) all_0_96_96 = e0
% 45.54/14.95  																																												|
% 45.54/14.95  																																													| Equations (1837) can reduce 2095 to:
% 45.54/14.95  																																													| (311) $false
% 45.54/14.95  																																													|
% 45.54/14.95  																																													|-The branch is then unsatisfiable
% 45.54/14.95  																																						|-Branch two:
% 45.54/14.95  																																						| (1619)  ~ (all_0_92_92 = e4)
% 45.54/14.95  																																						| (607) all_0_93_93 = e4
% 45.54/14.95  																																						|
% 45.54/14.95  																																							| Equations (607) can reduce 496 to:
% 45.54/14.95  																																							| (311) $false
% 45.54/14.95  																																							|
% 45.54/14.95  																																							|-The branch is then unsatisfiable
% 45.54/14.95  																																		|-Branch two:
% 45.54/14.95  																																		| (2347)  ~ (all_0_80_80 = e3)
% 45.54/14.95  																																		| (635) all_0_81_81 = e3
% 45.54/14.95  																																		|
% 45.54/14.95  																																			| Equations (635) can reduce 420 to:
% 45.54/14.95  																																			| (311) $false
% 45.54/14.95  																																			|
% 45.54/14.95  																																			|-The branch is then unsatisfiable
% 45.54/14.95  																															|-Branch two:
% 45.54/14.95  																															| (952)  ~ (all_0_85_85 = e3)
% 45.54/14.95  																															| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.54/14.95  																															|
% 45.54/14.95  																																+-Applying beta-rule and splitting (953), into two cases.
% 45.54/14.95  																																|-Branch one:
% 45.54/14.95  																																| (954) all_0_85_85 = e0
% 45.54/14.95  																																|
% 45.54/14.95  																																	| Equations (954) can reduce 800 to:
% 45.54/14.95  																																	| (311) $false
% 45.54/14.95  																																	|
% 45.54/14.95  																																	|-The branch is then unsatisfiable
% 45.54/14.95  																																|-Branch two:
% 45.54/14.95  																																| (800)  ~ (all_0_85_85 = e0)
% 45.54/14.95  																																| (493) all_0_85_85 = e4
% 45.54/14.95  																																|
% 45.54/14.95  																																	| Equations (493) can reduce 648 to:
% 45.54/14.95  																																	| (311) $false
% 45.54/14.95  																																	|
% 45.54/14.95  																																	|-The branch is then unsatisfiable
% 45.54/14.95  																													|-Branch two:
% 45.54/14.95  																													| (465)  ~ (all_0_82_82 = e4)
% 45.54/14.95  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.54/14.95  																													|
% 45.54/14.95  																														+-Applying beta-rule and splitting (10), into two cases.
% 45.54/14.95  																														|-Branch one:
% 45.54/14.95  																														| (530) all_0_82_82 = e2
% 45.54/14.95  																														|
% 45.54/14.95  																															| Equations (530) can reduce 347 to:
% 45.54/14.95  																															| (311) $false
% 45.54/14.95  																															|
% 45.54/14.95  																															|-The branch is then unsatisfiable
% 45.54/14.95  																														|-Branch two:
% 45.54/14.95  																														| (347)  ~ (all_0_82_82 = e2)
% 45.54/14.95  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.54/14.95  																														|
% 45.54/14.95  																															+-Applying beta-rule and splitting (472), into two cases.
% 45.54/14.95  																															|-Branch one:
% 45.54/14.95  																															| (438) all_0_84_84 = e4
% 45.54/14.95  																															|
% 45.54/14.95  																																| Combining equations (916,438) yields a new equation:
% 45.54/14.95  																																| (912) e4 = e0
% 45.54/14.95  																																|
% 45.54/14.95  																																| Equations (912) can reduce 23 to:
% 45.54/14.95  																																| (311) $false
% 45.54/14.95  																																|
% 45.54/14.95  																																|-The branch is then unsatisfiable
% 45.54/14.95  																															|-Branch two:
% 45.54/14.95  																															| (417)  ~ (all_0_84_84 = e4)
% 45.54/14.95  																															| (493) all_0_85_85 = e4
% 45.54/14.95  																															|
% 45.54/14.95  																																| Equations (493) can reduce 118 to:
% 45.54/14.95  																																| (634)  ~ (all_0_81_81 = e4)
% 45.54/14.95  																																|
% 45.54/14.95  																																| Equations (493) can reduce 209 to:
% 45.54/14.95  																																| (465)  ~ (all_0_82_82 = e4)
% 45.54/14.95  																																|
% 45.54/14.95  																																| Equations (493) can reduce 75 to:
% 45.54/14.95  																																| (320)  ~ (all_0_98_98 = e4)
% 45.54/14.95  																																|
% 45.54/14.95  																																| Simplifying 320 yields:
% 45.54/14.95  																																| (321)  ~ (all_0_98_98 = e4)
% 45.54/14.95  																																|
% 45.54/14.95  																																| Equations (493) can reduce 515 to:
% 45.54/14.95  																																| (79)  ~ (e4 = e2)
% 45.54/14.95  																																|
% 45.54/14.95  																																| From (493) and (26) follows:
% 45.54/14.95  																																| (2742) op(e0, e4) = all_0_71_71
% 45.54/14.95  																																|
% 45.54/14.95  																																+-Applying beta-rule and splitting (2205), into two cases.
% 45.54/14.95  																																|-Branch one:
% 45.54/14.95  																																| (789) all_0_82_82 = e3
% 45.54/14.95  																																|
% 45.54/14.95  																																	| Equations (789) can reduce 255 to:
% 45.54/14.95  																																	| (1815)  ~ (all_0_90_90 = e3)
% 45.54/14.95  																																	|
% 45.54/14.95  																																	| Simplifying 1815 yields:
% 45.54/14.95  																																	| (745)  ~ (all_0_90_90 = e3)
% 45.54/14.95  																																	|
% 45.54/14.95  																																	| Equations (789) can reduce 465 to:
% 45.54/14.95  																																	| (783)  ~ (e4 = e3)
% 45.54/14.95  																																	|
% 45.54/14.95  																																	| Simplifying 783 yields:
% 45.54/14.95  																																	| (177)  ~ (e4 = e3)
% 45.54/14.95  																																	|
% 45.54/14.95  																																	+-Applying beta-rule and splitting (99), into two cases.
% 45.54/14.95  																																	|-Branch one:
% 45.54/14.95  																																	| (767) all_0_95_95 = e2
% 45.54/14.95  																																	|
% 45.54/14.95  																																		| Equations (767) can reduce 355 to:
% 45.54/14.95  																																		| (311) $false
% 45.54/14.95  																																		|
% 45.54/14.95  																																		|-The branch is then unsatisfiable
% 45.54/14.95  																																	|-Branch two:
% 45.54/14.95  																																	| (355)  ~ (all_0_95_95 = e2)
% 45.54/14.95  																																	| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.54/14.95  																																	|
% 45.54/14.95  																																		+-Applying beta-rule and splitting (770), into two cases.
% 45.54/14.95  																																		|-Branch one:
% 45.54/14.95  																																		| (785) all_0_95_95 = e1
% 45.54/14.95  																																		|
% 45.54/14.95  																																			| Equations (785) can reduce 279 to:
% 45.54/14.95  																																			| (1671)  ~ (all_0_96_96 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Simplifying 1671 yields:
% 45.54/14.95  																																			| (1479)  ~ (all_0_96_96 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Equations (785) can reduce 107 to:
% 45.54/14.95  																																			| (1803)  ~ (all_0_98_98 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Simplifying 1803 yields:
% 45.54/14.95  																																			| (1804)  ~ (all_0_98_98 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Equations (785) can reduce 355 to:
% 45.54/14.95  																																			| (487)  ~ (e2 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Simplifying 487 yields:
% 45.54/14.95  																																			| (243)  ~ (e2 = e1)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| Equations (785) can reduce 893 to:
% 45.54/14.95  																																			| (264)  ~ (e1 = e0)
% 45.54/14.95  																																			|
% 45.54/14.95  																																			| From (785) and (275) follows:
% 45.54/14.95  																																			| (1511) op(e0, e3) = e1
% 45.54/14.95  																																			|
% 45.54/14.95  																																			+-Applying beta-rule and splitting (123), into two cases.
% 45.54/14.95  																																			|-Branch one:
% 45.54/14.95  																																			| (473) all_0_81_81 = e2
% 45.54/14.95  																																			|
% 45.54/14.95  																																				| Equations (473) can reduce 396 to:
% 45.54/14.95  																																				| (311) $false
% 45.54/14.95  																																				|
% 45.54/14.95  																																				|-The branch is then unsatisfiable
% 45.54/14.95  																																			|-Branch two:
% 45.54/14.95  																																			| (396)  ~ (all_0_81_81 = e2)
% 45.54/14.95  																																			| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.54/14.95  																																			|
% 45.54/14.95  																																				+-Applying beta-rule and splitting (4), into two cases.
% 45.54/14.95  																																				|-Branch one:
% 45.54/14.95  																																				| (463) all_0_78_78 = e4
% 45.54/14.95  																																				|
% 45.54/14.95  																																					| Combining equations (463,400) yields a new equation:
% 45.54/14.95  																																					| (309) e4 = e2
% 45.54/14.95  																																					|
% 45.54/14.95  																																					| Simplifying 309 yields:
% 45.54/14.95  																																					| (310) e4 = e2
% 45.54/14.95  																																					|
% 45.54/14.95  																																					| Equations (310) can reduce 79 to:
% 45.54/14.95  																																					| (311) $false
% 45.54/14.95  																																					|
% 45.54/14.95  																																					|-The branch is then unsatisfiable
% 45.54/14.95  																																				|-Branch two:
% 45.54/14.95  																																				| (640)  ~ (all_0_78_78 = e4)
% 45.54/14.96  																																				| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.54/14.96  																																				|
% 45.54/14.96  																																					+-Applying beta-rule and splitting (817), into two cases.
% 45.54/14.96  																																					|-Branch one:
% 45.54/14.96  																																					| (504) all_0_88_88 = e1
% 45.54/14.96  																																					|
% 45.54/14.96  																																						| Combining equations (504,370) yields a new equation:
% 45.54/14.96  																																						| (385) e2 = e1
% 45.54/14.96  																																						|
% 45.54/14.96  																																						| Equations (385) can reduce 243 to:
% 45.54/14.96  																																						| (311) $false
% 45.54/14.96  																																						|
% 45.54/14.96  																																						|-The branch is then unsatisfiable
% 45.54/14.96  																																					|-Branch two:
% 45.54/14.96  																																					| (479)  ~ (all_0_88_88 = e1)
% 45.54/14.96  																																					| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 45.54/14.96  																																					|
% 45.54/14.96  																																						+-Applying beta-rule and splitting (897), into two cases.
% 45.54/14.96  																																						|-Branch one:
% 45.54/14.96  																																						| (566) all_0_93_93 = e1
% 45.54/14.96  																																						|
% 45.54/14.96  																																							| Equations (566) can reduce 277 to:
% 45.54/14.96  																																							| (628)  ~ (all_0_81_81 = e1)
% 45.54/14.96  																																							|
% 45.54/14.96  																																							| Equations (566) can reduce 34 to:
% 45.54/14.96  																																							| (678)  ~ (all_0_90_90 = e1)
% 45.54/14.96  																																							|
% 45.54/14.96  																																							| Equations (566) can reduce 44 to:
% 45.54/14.96  																																							| (959)  ~ (all_0_91_91 = e1)
% 45.54/14.96  																																							|
% 45.54/14.96  																																							| From (566) and (173) follows:
% 45.54/14.96  																																							| (14723) op(e0, e1) = all_0_75_75
% 45.54/14.96  																																							|
% 45.54/14.96  																																							+-Applying beta-rule and splitting (476), into two cases.
% 45.54/14.96  																																							|-Branch one:
% 45.54/14.96  																																							| (477) all_0_81_81 = e1
% 45.54/14.96  																																							|
% 45.54/14.96  																																								| Equations (477) can reduce 628 to:
% 45.54/14.96  																																								| (311) $false
% 45.54/14.96  																																								|
% 45.54/14.96  																																								|-The branch is then unsatisfiable
% 45.54/14.96  																																							|-Branch two:
% 45.54/14.96  																																							| (628)  ~ (all_0_81_81 = e1)
% 45.54/14.96  																																							| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 45.54/14.96  																																							|
% 45.54/14.96  																																								+-Applying beta-rule and splitting (27), into two cases.
% 45.54/14.96  																																								|-Branch one:
% 45.54/14.96  																																								| (746) all_0_90_90 = e2
% 45.54/14.96  																																								|
% 45.54/14.96  																																									| Equations (746) can reduce 294 to:
% 45.54/14.96  																																									| (311) $false
% 45.54/14.96  																																									|
% 45.54/14.96  																																									|-The branch is then unsatisfiable
% 45.54/14.96  																																								|-Branch two:
% 45.54/14.96  																																								| (294)  ~ (all_0_90_90 = e2)
% 45.54/14.96  																																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.54/14.96  																																								|
% 45.54/14.96  																																									+-Applying beta-rule and splitting (291), into two cases.
% 45.54/14.96  																																									|-Branch one:
% 45.54/14.96  																																									| (758) all_0_90_90 = e0
% 45.54/14.96  																																									|
% 45.54/14.96  																																										| Equations (758) can reduce 762 to:
% 45.54/14.96  																																										| (311) $false
% 45.54/14.96  																																										|
% 45.54/14.96  																																										|-The branch is then unsatisfiable
% 45.54/14.96  																																									|-Branch two:
% 45.54/14.96  																																									| (762)  ~ (all_0_90_90 = e0)
% 45.54/14.96  																																									| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.54/14.96  																																									|
% 45.54/14.96  																																										+-Applying beta-rule and splitting (1455), into two cases.
% 45.54/14.96  																																										|-Branch one:
% 45.54/14.96  																																										| (1456) all_0_91_91 = e0
% 45.54/14.96  																																										|
% 45.54/14.96  																																											| Equations (1456) can reduce 64 to:
% 45.54/14.96  																																											| (2296)  ~ (all_0_96_96 = e0)
% 45.54/14.96  																																											|
% 45.54/14.96  																																											| Simplifying 2296 yields:
% 45.54/14.96  																																											| (2095)  ~ (all_0_96_96 = e0)
% 45.54/14.96  																																											|
% 45.54/14.96  																																											| Equations (1456) can reduce 959 to:
% 45.54/14.96  																																											| (859)  ~ (e1 = e0)
% 45.54/14.96  																																											|
% 45.54/14.96  																																											| Simplifying 859 yields:
% 45.54/14.96  																																											| (264)  ~ (e1 = e0)
% 45.54/14.96  																																											|
% 45.54/14.96  																																											+-Applying beta-rule and splitting (102), into two cases.
% 45.54/14.96  																																											|-Branch one:
% 45.54/14.96  																																											| (858) all_0_95_95 = e0
% 45.54/14.96  																																											|
% 45.54/14.96  																																												| Combining equations (858,785) yields a new equation:
% 45.54/14.96  																																												| (865) e1 = e0
% 45.54/14.96  																																												|
% 45.54/14.96  																																												| Equations (865) can reduce 264 to:
% 45.54/14.96  																																												| (311) $false
% 45.54/14.96  																																												|
% 45.54/14.96  																																												|-The branch is then unsatisfiable
% 45.54/14.96  																																											|-Branch two:
% 45.54/14.96  																																											| (893)  ~ (all_0_95_95 = e0)
% 45.54/14.96  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.54/14.96  																																											|
% 45.54/14.96  																																												+-Applying beta-rule and splitting (1921), into two cases.
% 45.54/14.96  																																												|-Branch one:
% 45.54/14.96  																																												| (1837) all_0_96_96 = e0
% 45.54/14.96  																																												|
% 45.54/14.96  																																													| Equations (1837) can reduce 2095 to:
% 45.54/14.96  																																													| (311) $false
% 45.54/14.96  																																													|
% 45.54/14.96  																																													|-The branch is then unsatisfiable
% 45.54/14.96  																																												|-Branch two:
% 45.54/14.96  																																												| (2095)  ~ (all_0_96_96 = e0)
% 45.54/14.96  																																												| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 45.54/14.96  																																												|
% 45.54/14.96  																																													+-Applying beta-rule and splitting (3625), into two cases.
% 45.54/14.96  																																													|-Branch one:
% 45.54/14.96  																																													| (469) all_0_82_82 = e4
% 45.54/14.96  																																													|
% 45.54/14.96  																																														| Combining equations (789,469) yields a new equation:
% 45.54/14.96  																																														| (434) e4 = e3
% 45.54/14.96  																																														|
% 45.54/14.96  																																														| Equations (434) can reduce 177 to:
% 45.54/14.96  																																														| (311) $false
% 45.54/14.96  																																														|
% 45.54/14.96  																																														|-The branch is then unsatisfiable
% 45.54/14.96  																																													|-Branch two:
% 45.54/14.96  																																													| (465)  ~ (all_0_82_82 = e4)
% 45.54/14.96  																																													| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.54/14.96  																																													|
% 45.54/14.96  																																														+-Applying beta-rule and splitting (629), into two cases.
% 45.54/14.96  																																														|-Branch one:
% 45.54/14.96  																																														| (635) all_0_81_81 = e3
% 45.54/14.96  																																														|
% 45.54/14.96  																																															| Equations (635) can reduce 396 to:
% 45.54/14.96  																																															| (169)  ~ (e3 = e2)
% 45.54/14.96  																																															|
% 45.54/14.96  																																															| Equations (635) can reduce 628 to:
% 45.54/14.96  																																															| (20)  ~ (e3 = e1)
% 45.54/14.96  																																															|
% 45.54/14.96  																																															| Equations (635) can reduce 257 to:
% 45.54/14.96  																																															| (50)  ~ (e3 = e0)
% 45.54/14.96  																																															|
% 45.54/14.96  																																															| From (635) and (145) follows:
% 45.54/14.96  																																															| (2368) op(e0, e3) = all_0_69_69
% 45.54/14.96  																																															|
% 45.54/14.96  																																															+-Applying beta-rule and splitting (270), into two cases.
% 45.54/14.96  																																															|-Branch one:
% 45.54/14.96  																																															| (744) all_0_95_95 = e3
% 45.54/14.96  																																															|
% 45.54/14.96  																																																| Combining equations (744,785) yields a new equation:
% 45.54/14.96  																																																| (825) e3 = e1
% 45.54/14.96  																																																|
% 45.54/14.96  																																																| Simplifying 825 yields:
% 45.54/14.96  																																																| (772) e3 = e1
% 45.54/14.96  																																																|
% 45.54/14.96  																																																| Equations (772) can reduce 20 to:
% 45.54/14.96  																																																| (311) $false
% 45.54/14.96  																																																|
% 45.54/14.96  																																																|-The branch is then unsatisfiable
% 45.54/14.96  																																															|-Branch two:
% 45.54/14.96  																																															| (765)  ~ (all_0_95_95 = e3)
% 45.54/14.96  																																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.54/14.96  																																															|
% 45.54/14.96  																																																| Equations (785) can reduce 765 to:
% 45.54/14.96  																																																| (683)  ~ (e3 = e1)
% 45.54/14.96  																																																|
% 45.54/14.96  																																																| Simplifying 683 yields:
% 45.54/14.96  																																																| (20)  ~ (e3 = e1)
% 45.54/14.96  																																																|
% 45.54/14.96  																																																+-Applying beta-rule and splitting (282), into two cases.
% 45.54/14.96  																																																|-Branch one:
% 45.54/14.96  																																																| (754) all_0_90_90 = e3
% 45.54/14.96  																																																|
% 45.54/14.96  																																																	| Equations (754) can reduce 745 to:
% 45.54/14.96  																																																	| (311) $false
% 45.54/14.96  																																																	|
% 45.54/14.96  																																																	|-The branch is then unsatisfiable
% 45.54/14.96  																																																|-Branch two:
% 45.54/14.96  																																																| (745)  ~ (all_0_90_90 = e3)
% 45.54/14.96  																																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.54/14.96  																																																|
% 45.54/14.96  																																																	+-Applying beta-rule and splitting (766), into two cases.
% 45.54/14.96  																																																	|-Branch one:
% 45.54/14.96  																																																	| (778) all_0_96_96 = e3
% 45.54/14.96  																																																	|
% 45.54/14.96  																																																		| Combining equations (778,18823) yields a new equation:
% 45.54/14.96  																																																		| (17845) all_0_73_73 = e3
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																		| Equations (778) can reduce 1479 to:
% 45.54/14.96  																																																		| (20)  ~ (e3 = e1)
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																		| Equations (778) can reduce 2095 to:
% 45.54/14.96  																																																		| (50)  ~ (e3 = e0)
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																		| From (778) and (268) follows:
% 45.54/14.96  																																																		| (10600) op(e0, e3) = all_0_59_59
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																		+-Applying beta-rule and splitting (849), into two cases.
% 45.54/14.96  																																																		|-Branch one:
% 45.54/14.96  																																																		| (588) all_0_91_91 = e3
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																			| Combining equations (1456,588) yields a new equation:
% 45.54/14.96  																																																			| (600) e3 = e0
% 45.54/14.96  																																																			|
% 45.54/14.96  																																																			| Equations (600) can reduce 50 to:
% 45.54/14.96  																																																			| (311) $false
% 45.54/14.96  																																																			|
% 45.54/14.96  																																																			|-The branch is then unsatisfiable
% 45.54/14.96  																																																		|-Branch two:
% 45.54/14.96  																																																		| (571)  ~ (all_0_91_91 = e3)
% 45.54/14.96  																																																		| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.54/14.96  																																																		|
% 45.54/14.96  																																																			+-Applying beta-rule and splitting (881), into two cases.
% 45.54/14.96  																																																			|-Branch one:
% 45.54/14.96  																																																			| (882) all_0_92_92 = e3
% 45.54/14.96  																																																			|
% 45.54/14.96  																																																				| Equations (882) can reduce 49 to:
% 45.54/14.96  																																																				| (2347)  ~ (all_0_80_80 = e3)
% 45.54/14.96  																																																				|
% 45.54/14.96  																																																				| Equations (882) can reduce 72 to:
% 45.54/14.96  																																																				| (745)  ~ (all_0_90_90 = e3)
% 45.54/14.96  																																																				|
% 45.54/14.96  																																																				+-Applying beta-rule and splitting (210), into two cases.
% 45.54/14.96  																																																				|-Branch one:
% 45.54/14.96  																																																				| (433) all_0_80_80 = e4
% 45.54/14.96  																																																				|
% 45.54/14.96  																																																					| Equations (433) can reduce 828 to:
% 45.54/14.96  																																																					| (256)  ~ (e4 = e1)
% 45.54/14.96  																																																					|
% 45.54/14.96  																																																					+-Applying beta-rule and splitting (749), into two cases.
% 45.54/14.96  																																																					|-Branch one:
% 45.54/14.96  																																																					| (750) all_0_90_90 = e1
% 45.54/14.96  																																																					|
% 45.54/14.96  																																																						| Equations (750) can reduce 678 to:
% 45.54/14.96  																																																						| (311) $false
% 45.54/14.96  																																																						|
% 45.54/14.96  																																																						|-The branch is then unsatisfiable
% 45.54/14.96  																																																					|-Branch two:
% 45.54/14.96  																																																					| (678)  ~ (all_0_90_90 = e1)
% 45.54/14.96  																																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.54/14.96  																																																					|
% 45.54/14.96  																																																						+-Applying beta-rule and splitting (3629), into two cases.
% 45.54/14.96  																																																						|-Branch one:
% 45.54/14.96  																																																						| (583) all_0_90_90 = e4
% 45.54/14.96  																																																						|
% 45.54/14.96  																																																							| Equations (583) can reduce 745 to:
% 45.54/14.96  																																																							| (177)  ~ (e4 = e3)
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Equations (583) can reduce 678 to:
% 45.54/14.96  																																																							| (256)  ~ (e4 = e1)
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| From (583) and (35) follows:
% 45.54/14.96  																																																							| (10485) op(e1, e4) = all_0_49_49
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 45.54/14.96  																																																							| (10505) all_0_49_49 = e2
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 45.54/14.96  																																																							| (2758) all_0_71_71 = e4
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_69_69, yields:
% 45.54/14.96  																																																							| (19934) all_0_59_59 = all_0_69_69
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Instantiating formula (262) with e0, e3, e1, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e1, yields:
% 45.54/14.96  																																																							| (10607) all_0_59_59 = e1
% 45.54/14.96  																																																							|
% 45.54/14.96  																																																							| Instantiating formula (262) with e0, e1, all_0_75_75, e2 and discharging atoms op(e0, e1) = all_0_75_75, op(e0, e1) = e2, yields:
% 45.54/14.97  																																																							| (26367) all_0_75_75 = e2
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Combining equations (10607,19934) yields a new equation:
% 45.54/14.97  																																																							| (26368) all_0_69_69 = e1
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Combining equations (26368,19934) yields a new equation:
% 45.54/14.97  																																																							| (10607) all_0_59_59 = e1
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Equations (10505) can reduce 742 to:
% 45.54/14.97  																																																							| (356)  ~ (e3 = e2)
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Simplifying 356 yields:
% 45.54/14.97  																																																							| (169)  ~ (e3 = e2)
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Equations (10607) can reduce 4959 to:
% 45.54/14.97  																																																							| (487)  ~ (e2 = e1)
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Simplifying 487 yields:
% 45.54/14.97  																																																							| (243)  ~ (e2 = e1)
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							+-Applying beta-rule and splitting (89), into two cases.
% 45.54/14.97  																																																							|-Branch one:
% 45.54/14.97  																																																							| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																								+-Applying beta-rule and splitting (1373), into two cases.
% 45.54/14.97  																																																								|-Branch one:
% 45.54/14.97  																																																								| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.54/14.97  																																																								|
% 45.54/14.97  																																																									+-Applying beta-rule and splitting (1374), into two cases.
% 45.54/14.97  																																																									|-Branch one:
% 45.54/14.97  																																																									| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																										| Applying alpha-rule on (1375) yields:
% 45.54/14.97  																																																										| (1376) all_0_69_69 = e4
% 45.54/14.97  																																																										| (1377)  ~ (all_0_70_70 = e0)
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										| Combining equations (26368,1376) yields a new equation:
% 45.54/14.97  																																																										| (814) e4 = e1
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										| Equations (814) can reduce 256 to:
% 45.54/14.97  																																																										| (311) $false
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										|-The branch is then unsatisfiable
% 45.54/14.97  																																																									|-Branch two:
% 45.54/14.97  																																																									| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																										| Applying alpha-rule on (1379) yields:
% 45.54/14.97  																																																										| (1380) all_0_71_71 = e3
% 45.54/14.97  																																																										| (1381)  ~ (all_0_72_72 = e0)
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										| Combining equations (2758,1380) yields a new equation:
% 45.54/14.97  																																																										| (790) e4 = e3
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										| Simplifying 790 yields:
% 45.54/14.97  																																																										| (434) e4 = e3
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										| Equations (434) can reduce 177 to:
% 45.54/14.97  																																																										| (311) $false
% 45.54/14.97  																																																										|
% 45.54/14.97  																																																										|-The branch is then unsatisfiable
% 45.54/14.97  																																																								|-Branch two:
% 45.54/14.97  																																																								| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.54/14.97  																																																								|
% 45.54/14.97  																																																									| Applying alpha-rule on (1385) yields:
% 45.54/14.97  																																																									| (1386) all_0_73_73 = e2
% 45.54/14.97  																																																									| (1387)  ~ (all_0_74_74 = e0)
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																									| Combining equations (17845,1386) yields a new equation:
% 45.54/14.97  																																																									| (547) e3 = e2
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																									| Simplifying 547 yields:
% 45.54/14.97  																																																									| (548) e3 = e2
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																									| Equations (548) can reduce 169 to:
% 45.54/14.97  																																																									| (311) $false
% 45.54/14.97  																																																									|
% 45.54/14.97  																																																									|-The branch is then unsatisfiable
% 45.54/14.97  																																																							|-Branch two:
% 45.54/14.97  																																																							| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																								| Applying alpha-rule on (1391) yields:
% 45.54/14.97  																																																								| (1392) all_0_75_75 = e1
% 45.54/14.97  																																																								| (1393)  ~ (all_0_76_76 = e0)
% 45.54/14.97  																																																								|
% 45.54/14.97  																																																								| Combining equations (1392,26367) yields a new equation:
% 45.54/14.97  																																																								| (385) e2 = e1
% 45.54/14.97  																																																								|
% 45.54/14.97  																																																								| Equations (385) can reduce 243 to:
% 45.54/14.97  																																																								| (311) $false
% 45.54/14.97  																																																								|
% 45.54/14.97  																																																								|-The branch is then unsatisfiable
% 45.54/14.97  																																																						|-Branch two:
% 45.54/14.97  																																																						| (467)  ~ (all_0_90_90 = e4)
% 45.54/14.97  																																																						| (894) all_0_95_95 = e4
% 45.54/14.97  																																																						|
% 45.54/14.97  																																																							| Combining equations (894,785) yields a new equation:
% 45.54/14.97  																																																							| (813) e4 = e1
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Simplifying 813 yields:
% 45.54/14.97  																																																							| (814) e4 = e1
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							| Equations (814) can reduce 256 to:
% 45.54/14.97  																																																							| (311) $false
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							|-The branch is then unsatisfiable
% 45.54/14.97  																																																				|-Branch two:
% 45.54/14.97  																																																				| (436)  ~ (all_0_80_80 = e4)
% 45.54/14.97  																																																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 45.54/14.97  																																																				|
% 45.54/14.97  																																																					+-Applying beta-rule and splitting (3232), into two cases.
% 45.54/14.97  																																																					|-Branch one:
% 45.54/14.97  																																																					| (824) all_0_80_80 = e1
% 45.54/14.97  																																																					|
% 45.54/14.97  																																																						| Equations (824) can reduce 828 to:
% 45.54/14.97  																																																						| (311) $false
% 45.54/14.97  																																																						|
% 45.54/14.97  																																																						|-The branch is then unsatisfiable
% 45.54/14.97  																																																					|-Branch two:
% 45.54/14.97  																																																					| (828)  ~ (all_0_80_80 = e1)
% 45.54/14.97  																																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 45.54/14.97  																																																					|
% 45.54/14.97  																																																						+-Applying beta-rule and splitting (4018), into two cases.
% 45.54/14.97  																																																						|-Branch one:
% 45.54/14.97  																																																						| (416) all_0_80_80 = e3
% 45.54/14.97  																																																						|
% 45.54/14.97  																																																							| Equations (416) can reduce 2347 to:
% 45.54/14.97  																																																							| (311) $false
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							|-The branch is then unsatisfiable
% 45.54/14.97  																																																						|-Branch two:
% 45.54/14.97  																																																						| (2347)  ~ (all_0_80_80 = e3)
% 45.54/14.97  																																																						| (433) all_0_80_80 = e4
% 45.54/14.97  																																																						|
% 45.54/14.97  																																																							| Equations (433) can reduce 436 to:
% 45.54/14.97  																																																							| (311) $false
% 45.54/14.97  																																																							|
% 45.54/14.97  																																																							|-The branch is then unsatisfiable
% 45.54/14.97  																																																			|-Branch two:
% 45.54/14.97  																																																			| (426)  ~ (all_0_92_92 = e3)
% 45.54/14.97  																																																			| (570) all_0_93_93 = e3
% 45.54/14.97  																																																			|
% 45.54/14.97  																																																				| Combining equations (570,566) yields a new equation:
% 45.54/14.97  																																																				| (825) e3 = e1
% 45.54/14.97  																																																				|
% 45.54/14.97  																																																				| Simplifying 825 yields:
% 45.54/14.97  																																																				| (772) e3 = e1
% 45.54/14.97  																																																				|
% 45.54/14.97  																																																				| Equations (772) can reduce 20 to:
% 45.54/14.97  																																																				| (311) $false
% 45.54/14.97  																																																				|
% 45.54/14.97  																																																				|-The branch is then unsatisfiable
% 45.54/14.97  																																																	|-Branch two:
% 45.54/14.97  																																																	| (964)  ~ (all_0_96_96 = e3)
% 45.54/14.98  																																																	| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.54/14.98  																																																	|
% 45.54/14.98  																																																		+-Applying beta-rule and splitting (285), into two cases.
% 45.54/14.98  																																																		|-Branch one:
% 45.54/14.98  																																																		| (1708) all_0_79_79 = e3
% 45.54/14.98  																																																		|
% 45.54/14.98  																																																			| Combining equations (1708,457) yields a new equation:
% 45.54/14.98  																																																			| (825) e3 = e1
% 45.54/14.98  																																																			|
% 45.54/14.98  																																																			| Simplifying 825 yields:
% 45.54/14.98  																																																			| (772) e3 = e1
% 45.54/14.98  																																																			|
% 45.54/14.98  																																																			| Equations (772) can reduce 20 to:
% 45.54/14.98  																																																			| (311) $false
% 45.54/14.98  																																																			|
% 45.54/14.98  																																																			|-The branch is then unsatisfiable
% 45.54/14.98  																																																		|-Branch two:
% 45.54/14.98  																																																		| (1711)  ~ (all_0_79_79 = e3)
% 45.54/14.98  																																																		| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.54/14.98  																																																		|
% 45.54/14.98  																																																			+-Applying beta-rule and splitting (1712), into two cases.
% 45.54/14.98  																																																			|-Branch one:
% 45.54/14.98  																																																			| (795) all_0_83_83 = e3
% 45.54/14.98  																																																			|
% 45.54/14.98  																																																				| Combining equations (453,795) yields a new equation:
% 45.54/14.98  																																																				| (548) e3 = e2
% 45.54/14.98  																																																				|
% 45.54/14.98  																																																				| Equations (548) can reduce 169 to:
% 45.54/14.98  																																																				| (311) $false
% 45.54/14.98  																																																				|
% 45.54/14.98  																																																				|-The branch is then unsatisfiable
% 45.54/14.98  																																																			|-Branch two:
% 45.54/14.98  																																																			| (779)  ~ (all_0_83_83 = e3)
% 45.54/14.98  																																																			| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 45.54/14.98  																																																			|
% 45.54/14.98  																																																				+-Applying beta-rule and splitting (1842), into two cases.
% 45.54/14.98  																																																				|-Branch one:
% 45.54/14.98  																																																				| (588) all_0_91_91 = e3
% 45.54/14.98  																																																				|
% 45.54/14.98  																																																					| Combining equations (588,1456) yields a new equation:
% 45.54/14.98  																																																					| (599) e3 = e0
% 45.54/14.98  																																																					|
% 45.54/14.98  																																																					| Simplifying 599 yields:
% 45.54/14.98  																																																					| (600) e3 = e0
% 45.54/14.98  																																																					|
% 45.54/14.98  																																																					| Equations (600) can reduce 50 to:
% 45.54/14.98  																																																					| (311) $false
% 45.54/14.98  																																																					|
% 45.54/14.98  																																																					|-The branch is then unsatisfiable
% 45.54/14.98  																																																				|-Branch two:
% 45.54/14.98  																																																				| (571)  ~ (all_0_91_91 = e3)
% 45.54/14.98  																																																				| (778) all_0_96_96 = e3
% 45.54/14.98  																																																				|
% 45.54/14.98  																																																					| Equations (778) can reduce 964 to:
% 45.54/14.98  																																																					| (311) $false
% 45.54/14.98  																																																					|
% 45.54/14.98  																																																					|-The branch is then unsatisfiable
% 45.54/14.98  																																														|-Branch two:
% 45.54/14.98  																																														| (420)  ~ (all_0_81_81 = e3)
% 45.54/14.98  																																														| (638) all_0_81_81 = e4
% 45.54/14.98  																																														|
% 45.54/14.98  																																															| Equations (638) can reduce 634 to:
% 45.54/14.98  																																															| (311) $false
% 45.54/14.98  																																															|
% 45.54/14.98  																																															|-The branch is then unsatisfiable
% 45.54/14.98  																																										|-Branch two:
% 45.54/14.98  																																										| (1487)  ~ (all_0_91_91 = e0)
% 45.54/14.98  																																										| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.54/14.98  																																										|
% 45.54/14.98  																																											+-Applying beta-rule and splitting (1488), into two cases.
% 45.54/14.98  																																											|-Branch one:
% 45.54/14.98  																																											| (942) all_0_92_92 = e0
% 45.54/14.98  																																											|
% 45.54/14.98  																																												| Equations (942) can reduce 946 to:
% 45.54/14.98  																																												| (311) $false
% 45.54/14.98  																																												|
% 45.54/14.98  																																												|-The branch is then unsatisfiable
% 45.54/14.98  																																											|-Branch two:
% 45.54/14.98  																																											| (946)  ~ (all_0_92_92 = e0)
% 45.54/14.98  																																											| (604) all_0_93_93 = e0
% 45.54/14.98  																																											|
% 45.54/14.98  																																												| Combining equations (566,604) yields a new equation:
% 45.54/14.98  																																												| (1107) e1 = e0
% 45.54/14.98  																																												|
% 45.54/14.98  																																												| Simplifying 1107 yields:
% 45.54/14.98  																																												| (865) e1 = e0
% 45.54/14.98  																																												|
% 45.54/14.98  																																												| Equations (865) can reduce 264 to:
% 45.54/14.98  																																												| (311) $false
% 45.54/14.98  																																												|
% 45.54/14.98  																																												|-The branch is then unsatisfiable
% 45.54/14.98  																																						|-Branch two:
% 45.54/14.98  																																						| (481)  ~ (all_0_93_93 = e1)
% 45.54/14.98  																																						| (1543) all_0_98_98 = e1
% 45.54/14.98  																																						|
% 45.54/14.98  																																							| Equations (1543) can reduce 1804 to:
% 45.54/14.98  																																							| (311) $false
% 45.54/14.98  																																							|
% 45.54/14.98  																																							|-The branch is then unsatisfiable
% 45.54/14.98  																																		|-Branch two:
% 45.54/14.98  																																		| (680)  ~ (all_0_95_95 = e1)
% 45.54/14.98  																																		| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.54/14.98  																																		|
% 45.54/14.98  																																			+-Applying beta-rule and splitting (176), into two cases.
% 45.54/14.98  																																			|-Branch one:
% 45.54/14.98  																																			| (785) all_0_95_95 = e1
% 45.54/14.98  																																			|
% 45.54/14.98  																																				| Equations (785) can reduce 680 to:
% 45.54/14.98  																																				| (311) $false
% 45.54/14.98  																																				|
% 45.54/14.98  																																				|-The branch is then unsatisfiable
% 45.54/14.98  																																			|-Branch two:
% 45.54/14.98  																																			| (680)  ~ (all_0_95_95 = e1)
% 45.54/14.98  																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/14.98  																																			|
% 45.54/14.98  																																				+-Applying beta-rule and splitting (788), into two cases.
% 45.54/14.98  																																				|-Branch one:
% 45.54/14.98  																																				| (960) all_0_96_96 = e1
% 45.54/14.98  																																				|
% 45.54/14.98  																																					| Equations (960) can reduce 1479 to:
% 45.54/14.98  																																					| (311) $false
% 45.54/14.98  																																					|
% 45.54/14.98  																																					|-The branch is then unsatisfiable
% 45.54/14.98  																																				|-Branch two:
% 45.54/14.98  																																				| (1479)  ~ (all_0_96_96 = e1)
% 45.54/14.98  																																				| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/14.98  																																				|
% 45.54/14.98  																																					+-Applying beta-rule and splitting (4), into two cases.
% 45.54/14.98  																																					|-Branch one:
% 45.54/14.98  																																					| (463) all_0_78_78 = e4
% 45.54/14.98  																																					|
% 45.54/14.98  																																						| Combining equations (400,463) yields a new equation:
% 45.54/14.98  																																						| (310) e4 = e2
% 45.54/14.98  																																						|
% 45.54/14.98  																																						| Equations (310) can reduce 79 to:
% 45.54/14.98  																																						| (311) $false
% 45.54/14.98  																																						|
% 45.54/14.98  																																						|-The branch is then unsatisfiable
% 45.54/14.98  																																					|-Branch two:
% 45.54/14.98  																																					| (640)  ~ (all_0_78_78 = e4)
% 45.54/14.98  																																					| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.54/14.98  																																					|
% 45.54/14.98  																																						+-Applying beta-rule and splitting (2126), into two cases.
% 45.54/14.98  																																						|-Branch one:
% 45.54/14.98  																																						| (542) all_0_97_97 = e1
% 45.54/14.98  																																						|
% 45.54/14.98  																																							| Combining equations (542,538) yields a new equation:
% 45.54/14.98  																																							| (385) e2 = e1
% 45.54/14.98  																																							|
% 45.54/14.98  																																							| Equations (385) can reduce 243 to:
% 45.54/14.98  																																							| (311) $false
% 45.54/14.98  																																							|
% 45.54/14.98  																																							|-The branch is then unsatisfiable
% 45.54/14.98  																																						|-Branch two:
% 45.54/14.98  																																						| (486)  ~ (all_0_97_97 = e1)
% 45.54/14.98  																																						| (1543) all_0_98_98 = e1
% 45.54/14.98  																																						|
% 45.54/14.98  																																							| Equations (1543) can reduce 13 to:
% 45.54/14.98  																																							| (481)  ~ (all_0_93_93 = e1)
% 45.54/14.98  																																							|
% 45.54/14.98  																																							| Equations (1543) can reduce 321 to:
% 45.54/14.98  																																							| (681)  ~ (e4 = e1)
% 45.54/14.98  																																							|
% 45.54/14.98  																																							| Simplifying 681 yields:
% 45.54/14.98  																																							| (256)  ~ (e4 = e1)
% 45.54/14.98  																																							|
% 45.54/14.98  																																							+-Applying beta-rule and splitting (132), into two cases.
% 45.54/14.98  																																							|-Branch one:
% 45.54/14.98  																																							| (750) all_0_90_90 = e1
% 45.54/14.98  																																							|
% 45.54/14.98  																																								+-Applying beta-rule and splitting (3625), into two cases.
% 45.54/14.98  																																								|-Branch one:
% 45.54/14.98  																																								| (469) all_0_82_82 = e4
% 45.54/14.98  																																								|
% 45.54/14.98  																																									| Combining equations (789,469) yields a new equation:
% 45.54/14.98  																																									| (434) e4 = e3
% 45.54/14.98  																																									|
% 45.54/14.98  																																									| Equations (434) can reduce 177 to:
% 45.54/14.98  																																									| (311) $false
% 45.54/14.98  																																									|
% 45.54/14.98  																																									|-The branch is then unsatisfiable
% 45.54/14.98  																																								|-Branch two:
% 45.54/14.98  																																								| (465)  ~ (all_0_82_82 = e4)
% 45.54/14.98  																																								| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.54/14.98  																																								|
% 45.54/14.98  																																									+-Applying beta-rule and splitting (3629), into two cases.
% 45.54/14.98  																																									|-Branch one:
% 45.54/14.98  																																									| (583) all_0_90_90 = e4
% 45.54/14.98  																																									|
% 45.54/14.98  																																										| Combining equations (750,583) yields a new equation:
% 45.54/14.98  																																										| (814) e4 = e1
% 45.54/14.98  																																										|
% 45.54/14.98  																																										| Equations (814) can reduce 256 to:
% 45.54/14.98  																																										| (311) $false
% 45.54/14.98  																																										|
% 45.54/14.98  																																										|-The branch is then unsatisfiable
% 45.54/14.98  																																									|-Branch two:
% 45.54/14.98  																																									| (467)  ~ (all_0_90_90 = e4)
% 45.54/14.98  																																									| (894) all_0_95_95 = e4
% 45.54/14.98  																																									|
% 45.54/14.98  																																										| Equations (894) can reduce 315 to:
% 45.54/14.98  																																										| (311) $false
% 45.54/14.98  																																										|
% 45.54/14.98  																																										|-The branch is then unsatisfiable
% 45.54/14.98  																																							|-Branch two:
% 45.54/14.98  																																							| (678)  ~ (all_0_90_90 = e1)
% 45.54/14.98  																																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.54/14.98  																																							|
% 45.54/14.98  																																								+-Applying beta-rule and splitting (1526), into two cases.
% 45.54/14.98  																																								|-Branch one:
% 45.54/14.98  																																								| (801) all_0_91_91 = e1
% 45.54/14.98  																																								|
% 45.54/14.98  																																									| Equations (801) can reduce 959 to:
% 45.54/14.98  																																									| (311) $false
% 45.54/14.98  																																									|
% 45.54/14.98  																																									|-The branch is then unsatisfiable
% 45.54/14.98  																																								|-Branch two:
% 45.54/14.98  																																								| (959)  ~ (all_0_91_91 = e1)
% 45.54/14.98  																																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.54/14.98  																																								|
% 45.54/14.98  																																									+-Applying beta-rule and splitting (1556), into two cases.
% 45.54/14.98  																																									|-Branch one:
% 45.54/14.98  																																									| (836) all_0_92_92 = e1
% 45.54/14.98  																																									|
% 45.54/14.98  																																										| Equations (836) can reduce 840 to:
% 45.54/14.98  																																										| (311) $false
% 45.54/14.98  																																										|
% 45.54/14.98  																																										|-The branch is then unsatisfiable
% 45.54/14.98  																																									|-Branch two:
% 45.54/14.98  																																									| (840)  ~ (all_0_92_92 = e1)
% 45.54/14.98  																																									| (566) all_0_93_93 = e1
% 45.54/14.98  																																									|
% 45.54/14.98  																																										| Equations (566) can reduce 481 to:
% 45.54/14.98  																																										| (311) $false
% 45.54/14.98  																																										|
% 45.54/14.98  																																										|-The branch is then unsatisfiable
% 45.54/14.98  																																|-Branch two:
% 45.54/14.98  																																| (793)  ~ (all_0_82_82 = e3)
% 45.54/14.98  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.54/14.98  																																|
% 45.54/14.98  																																	+-Applying beta-rule and splitting (2706), into two cases.
% 45.54/14.98  																																	|-Branch one:
% 45.54/14.98  																																	| (910) all_0_82_82 = e0
% 45.54/14.98  																																	|
% 45.54/14.98  																																		| Equations (910) can reduce 914 to:
% 45.54/14.98  																																		| (311) $false
% 45.54/14.98  																																		|
% 45.54/14.98  																																		|-The branch is then unsatisfiable
% 45.54/14.98  																																	|-Branch two:
% 45.54/14.98  																																	| (914)  ~ (all_0_82_82 = e0)
% 45.54/14.98  																																	| (469) all_0_82_82 = e4
% 45.54/14.98  																																	|
% 45.54/14.98  																																		| Equations (469) can reduce 465 to:
% 45.54/14.98  																																		| (311) $false
% 45.54/14.98  																																		|
% 45.54/14.98  																																		|-The branch is then unsatisfiable
% 45.54/14.98  																												|-Branch two:
% 45.54/14.98  																												| (919)  ~ (all_0_84_84 = e0)
% 45.54/14.98  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.54/14.98  																												|
% 45.54/14.98  																													+-Applying beta-rule and splitting (249), into two cases.
% 45.54/14.98  																													|-Branch one:
% 45.54/14.98  																													| (910) all_0_82_82 = e0
% 45.54/14.98  																													|
% 45.54/14.98  																														| Equations (910) can reduce 914 to:
% 45.54/14.98  																														| (311) $false
% 45.54/14.98  																														|
% 45.54/14.98  																														|-The branch is then unsatisfiable
% 45.54/14.98  																													|-Branch two:
% 45.54/14.98  																													| (914)  ~ (all_0_82_82 = e0)
% 45.54/14.98  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.54/14.98  																													|
% 45.54/14.98  																														+-Applying beta-rule and splitting (920), into two cases.
% 45.54/14.98  																														|-Branch one:
% 45.54/14.98  																														| (861) all_0_87_87 = e0
% 45.54/14.98  																														|
% 45.54/14.98  																															| Combining equations (482,861) yields a new equation:
% 45.54/14.98  																															| (1107) e1 = e0
% 45.54/14.98  																															|
% 45.54/14.98  																															| Simplifying 1107 yields:
% 45.54/14.98  																															| (865) e1 = e0
% 45.54/14.98  																															|
% 45.54/14.98  																															| Equations (865) can reduce 264 to:
% 45.54/14.98  																															| (311) $false
% 45.54/14.98  																															|
% 45.54/14.98  																															|-The branch is then unsatisfiable
% 45.54/14.98  																														|-Branch two:
% 45.54/14.98  																														| (889)  ~ (all_0_87_87 = e0)
% 45.54/14.98  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.54/14.98  																														|
% 45.54/14.98  																															+-Applying beta-rule and splitting (1309), into two cases.
% 45.54/14.98  																															|-Branch one:
% 45.54/14.98  																															| (798) all_0_83_83 = e0
% 45.54/14.98  																															|
% 45.54/14.98  																																| Combining equations (798,453) yields a new equation:
% 45.54/14.98  																																| (379) e2 = e0
% 45.54/14.98  																																|
% 45.54/14.98  																																| Equations (379) can reduce 76 to:
% 45.54/14.98  																																| (311) $false
% 45.54/14.98  																																|
% 45.54/14.98  																																|-The branch is then unsatisfiable
% 45.54/14.98  																															|-Branch two:
% 45.54/14.98  																															| (1314)  ~ (all_0_83_83 = e0)
% 45.54/14.98  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.54/14.98  																															|
% 45.54/14.98  																																| Equations (453) can reduce 1314 to:
% 45.54/14.98  																																| (76)  ~ (e2 = e0)
% 45.54/14.98  																																|
% 45.54/14.98  																																+-Applying beta-rule and splitting (931), into two cases.
% 45.54/14.98  																																|-Branch one:
% 45.54/14.98  																																| (942) all_0_92_92 = e0
% 45.54/14.98  																																|
% 45.54/14.98  																																	| Equations (942) can reduce 87 to:
% 45.54/14.98  																																	| (919)  ~ (all_0_84_84 = e0)
% 45.54/14.98  																																	|
% 45.54/14.98  																																	| Equations (942) can reduce 265 to:
% 45.54/14.98  																																	| (1487)  ~ (all_0_91_91 = e0)
% 45.54/14.98  																																	|
% 45.54/14.98  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 45.54/14.98  																																	|-Branch one:
% 45.54/14.98  																																	| (1456) all_0_91_91 = e0
% 45.54/14.98  																																	|
% 45.54/14.98  																																		| Equations (1456) can reduce 1487 to:
% 45.54/14.98  																																		| (311) $false
% 45.54/14.98  																																		|
% 45.54/14.98  																																		|-The branch is then unsatisfiable
% 45.54/14.98  																																	|-Branch two:
% 45.54/14.98  																																	| (1487)  ~ (all_0_91_91 = e0)
% 45.54/14.98  																																	| (1837) all_0_96_96 = e0
% 45.54/14.98  																																	|
% 45.54/14.98  																																		| From (1837) and (4960) follows:
% 45.54/14.98  																																		| (2170) op(e2, e0) = e0
% 45.54/14.98  																																		|
% 45.54/14.98  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 45.54/14.98  																																		|-Branch one:
% 45.54/14.98  																																		| (916) all_0_84_84 = e0
% 45.54/14.98  																																		|
% 45.54/14.98  																																			| Equations (916) can reduce 919 to:
% 45.54/14.98  																																			| (311) $false
% 45.54/14.98  																																			|
% 45.54/14.98  																																			|-The branch is then unsatisfiable
% 45.54/14.98  																																		|-Branch two:
% 45.54/14.98  																																		| (919)  ~ (all_0_84_84 = e0)
% 45.54/14.98  																																		| (954) all_0_85_85 = e0
% 45.54/14.98  																																		|
% 45.54/14.98  																																			| Equations (954) can reduce 515 to:
% 45.54/14.98  																																			| (510)  ~ (e2 = e0)
% 45.54/14.98  																																			|
% 45.54/14.98  																																			| Simplifying 510 yields:
% 45.54/14.98  																																			| (76)  ~ (e2 = e0)
% 45.54/14.98  																																			|
% 45.54/14.98  																																			| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 45.54/14.98  																																			| (379) e2 = e0
% 45.54/14.98  																																			|
% 45.54/14.98  																																			| Equations (379) can reduce 76 to:
% 45.54/14.98  																																			| (311) $false
% 45.54/14.98  																																			|
% 45.54/14.98  																																			|-The branch is then unsatisfiable
% 45.54/14.98  																																|-Branch two:
% 45.54/14.98  																																| (946)  ~ (all_0_92_92 = e0)
% 45.54/14.98  																																| (560) all_0_97_97 = e0
% 45.54/14.98  																																|
% 45.54/14.98  																																	| Combining equations (538,560) yields a new equation:
% 45.54/14.98  																																	| (923) e2 = e0
% 45.54/14.98  																																	|
% 45.54/14.98  																																	| Simplifying 923 yields:
% 45.54/14.98  																																	| (379) e2 = e0
% 45.54/14.98  																																	|
% 45.54/14.98  																																	| Equations (379) can reduce 76 to:
% 45.54/14.98  																																	| (311) $false
% 45.54/14.98  																																	|
% 45.54/14.98  																																	|-The branch is then unsatisfiable
% 45.54/14.98  																						|-Branch two:
% 45.54/14.98  																						| (461)  ~ (all_0_79_79 = e1)
% 45.54/14.98  																						| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 45.54/14.98  																						|
% 45.54/14.98  																							+-Applying beta-rule and splitting (129), into two cases.
% 45.54/14.98  																							|-Branch one:
% 45.54/14.98  																							| (676) all_0_78_78 = e1
% 45.54/14.98  																							|
% 45.54/14.98  																								| Combining equations (400,676) yields a new equation:
% 45.54/14.98  																								| (408) e2 = e1
% 45.54/14.98  																								|
% 45.54/14.98  																								| Simplifying 408 yields:
% 45.54/14.98  																								| (385) e2 = e1
% 45.54/14.98  																								|
% 45.54/14.98  																								| Equations (385) can reduce 243 to:
% 45.54/14.98  																								| (311) $false
% 45.54/14.98  																								|
% 45.54/14.98  																								|-The branch is then unsatisfiable
% 45.54/14.98  																							|-Branch two:
% 45.54/14.98  																							| (1601)  ~ (all_0_78_78 = e1)
% 45.54/14.98  																							| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 45.54/14.98  																							|
% 45.54/14.98  																								+-Applying beta-rule and splitting (1602), into two cases.
% 45.54/14.98  																								|-Branch one:
% 45.54/14.98  																								| (457) all_0_79_79 = e1
% 45.54/14.98  																								|
% 45.54/14.98  																									| Equations (457) can reduce 461 to:
% 45.54/14.98  																									| (311) $false
% 45.54/14.98  																									|
% 45.54/14.98  																									|-The branch is then unsatisfiable
% 45.54/14.98  																								|-Branch two:
% 45.54/14.98  																								| (461)  ~ (all_0_79_79 = e1)
% 45.54/14.98  																								| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 45.54/14.98  																								|
% 45.54/14.99  																									+-Applying beta-rule and splitting (8180), into two cases.
% 45.54/14.99  																									|-Branch one:
% 45.54/14.99  																									| (824) all_0_80_80 = e1
% 45.54/14.99  																									|
% 45.54/14.99  																										| Equations (824) can reduce 828 to:
% 45.54/14.99  																										| (311) $false
% 45.54/14.99  																										|
% 45.54/14.99  																										|-The branch is then unsatisfiable
% 45.54/14.99  																									|-Branch two:
% 45.54/14.99  																									| (828)  ~ (all_0_80_80 = e1)
% 45.54/14.99  																									| (477) all_0_81_81 = e1
% 45.54/14.99  																									|
% 45.54/14.99  																										| Equations (477) can reduce 15 to:
% 45.54/14.99  																										| (461)  ~ (all_0_79_79 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Equations (477) can reduce 118 to:
% 45.54/14.99  																										| (24696)  ~ (all_0_85_85 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Simplifying 24696 yields:
% 45.54/14.99  																										| (128)  ~ (all_0_85_85 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Equations (477) can reduce 277 to:
% 45.54/14.99  																										| (480)  ~ (all_0_93_93 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Simplifying 480 yields:
% 45.54/14.99  																										| (481)  ~ (all_0_93_93 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Equations (477) can reduce 5 to:
% 45.54/14.99  																										| (1803)  ~ (all_0_98_98 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Simplifying 1803 yields:
% 45.54/14.99  																										| (1804)  ~ (all_0_98_98 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Equations (477) can reduce 396 to:
% 45.54/14.99  																										| (487)  ~ (e2 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Simplifying 487 yields:
% 45.54/14.99  																										| (243)  ~ (e2 = e1)
% 45.54/14.99  																										|
% 45.54/14.99  																										| Equations (477) can reduce 257 to:
% 45.54/14.99  																										| (264)  ~ (e1 = e0)
% 45.54/14.99  																										|
% 45.54/14.99  																										+-Applying beta-rule and splitting (641), into two cases.
% 45.54/14.99  																										|-Branch one:
% 45.54/14.99  																										| (433) all_0_80_80 = e4
% 45.54/14.99  																										|
% 45.54/14.99  																											| Equations (433) can reduce 63 to:
% 45.54/14.99  																											| (235)  ~ (all_0_79_79 = e4)
% 45.54/14.99  																											|
% 45.54/14.99  																											| Equations (433) can reduce 273 to:
% 45.54/14.99  																											| (662)  ~ (all_0_84_84 = e4)
% 45.54/14.99  																											|
% 45.54/14.99  																											| Simplifying 662 yields:
% 45.54/14.99  																											| (417)  ~ (all_0_84_84 = e4)
% 45.54/14.99  																											|
% 45.54/14.99  																											| Equations (433) can reduce 166 to:
% 45.54/14.99  																											| (23)  ~ (e4 = e0)
% 45.54/14.99  																											|
% 45.54/14.99  																											| From (433) and (233) follows:
% 45.54/14.99  																											| (4027) op(e1, e4) = all_0_60_60
% 45.54/14.99  																											|
% 45.54/14.99  																											+-Applying beta-rule and splitting (1623), into two cases.
% 45.54/14.99  																											|-Branch one:
% 45.54/14.99  																											| (457) all_0_79_79 = e1
% 45.54/14.99  																											|
% 45.54/14.99  																												| Equations (457) can reduce 461 to:
% 45.54/14.99  																												| (311) $false
% 45.54/14.99  																												|
% 45.54/14.99  																												|-The branch is then unsatisfiable
% 45.54/14.99  																											|-Branch two:
% 45.54/14.99  																											| (461)  ~ (all_0_79_79 = e1)
% 45.54/14.99  																											| (1708) all_0_79_79 = e3
% 45.54/14.99  																											|
% 45.54/14.99  																												| Equations (1708) can reduce 17 to:
% 45.54/14.99  																												| (1298)  ~ (all_0_91_91 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Simplifying 1298 yields:
% 45.54/14.99  																												| (571)  ~ (all_0_91_91 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Equations (1708) can reduce 214 to:
% 45.54/14.99  																												| (1300)  ~ (all_0_96_96 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Simplifying 1300 yields:
% 45.54/14.99  																												| (964)  ~ (all_0_96_96 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Equations (1708) can reduce 235 to:
% 45.54/14.99  																												| (783)  ~ (e4 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Simplifying 783 yields:
% 45.54/14.99  																												| (177)  ~ (e4 = e3)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Equations (1708) can reduce 1622 to:
% 45.54/14.99  																												| (169)  ~ (e3 = e2)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Equations (1708) can reduce 461 to:
% 45.54/14.99  																												| (20)  ~ (e3 = e1)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Equations (1708) can reduce 9 to:
% 45.54/14.99  																												| (50)  ~ (e3 = e0)
% 45.54/14.99  																												|
% 45.54/14.99  																												| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 45.54/14.99  																												| (4076) all_0_60_60 = e2
% 45.54/14.99  																												|
% 45.54/14.99  																												+-Applying beta-rule and splitting (109), into two cases.
% 45.54/14.99  																												|-Branch one:
% 45.54/14.99  																												| (469) all_0_82_82 = e4
% 45.54/14.99  																												|
% 45.54/14.99  																													| Equations (469) can reduce 7 to:
% 45.54/14.99  																													| (662)  ~ (all_0_84_84 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Simplifying 662 yields:
% 45.54/14.99  																													| (417)  ~ (all_0_84_84 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Equations (469) can reduce 209 to:
% 45.54/14.99  																													| (647)  ~ (all_0_85_85 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Simplifying 647 yields:
% 45.54/14.99  																													| (648)  ~ (all_0_85_85 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Equations (469) can reduce 200 to:
% 45.54/14.99  																													| (314)  ~ (all_0_95_95 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Simplifying 314 yields:
% 45.54/14.99  																													| (315)  ~ (all_0_95_95 = e4)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Equations (469) can reduce 198 to:
% 45.54/14.99  																													| (256)  ~ (e4 = e1)
% 45.54/14.99  																													|
% 45.54/14.99  																													| Equations (469) can reduce 914 to:
% 45.54/14.99  																													| (23)  ~ (e4 = e0)
% 45.54/14.99  																													|
% 45.54/14.99  																													| From (469) and (61) follows:
% 45.54/14.99  																													| (671) op(e3, e3) = e4
% 45.54/14.99  																													|
% 45.54/14.99  																													+-Applying beta-rule and splitting (168), into two cases.
% 45.54/14.99  																													|-Branch one:
% 45.54/14.99  																													| (638) all_0_81_81 = e4
% 45.54/14.99  																													|
% 45.54/14.99  																														| Combining equations (477,638) yields a new equation:
% 45.54/14.99  																														| (814) e4 = e1
% 45.54/14.99  																														|
% 45.54/14.99  																														| Equations (814) can reduce 256 to:
% 45.54/14.99  																														| (311) $false
% 45.54/14.99  																														|
% 45.54/14.99  																														|-The branch is then unsatisfiable
% 45.54/14.99  																													|-Branch two:
% 45.54/14.99  																													| (634)  ~ (all_0_81_81 = e4)
% 45.54/14.99  																													| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 45.54/14.99  																													|
% 45.54/14.99  																														+-Applying beta-rule and splitting (2559), into two cases.
% 45.54/14.99  																														|-Branch one:
% 45.54/14.99  																														| (493) all_0_85_85 = e4
% 45.54/14.99  																														|
% 45.54/14.99  																															| Equations (493) can reduce 648 to:
% 45.54/14.99  																															| (311) $false
% 45.54/14.99  																															|
% 45.54/14.99  																															|-The branch is then unsatisfiable
% 45.54/14.99  																														|-Branch two:
% 45.54/14.99  																														| (648)  ~ (all_0_85_85 = e4)
% 45.54/14.99  																														| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 45.54/14.99  																														|
% 45.54/14.99  																															+-Applying beta-rule and splitting (2576), into two cases.
% 45.54/14.99  																															|-Branch one:
% 45.54/14.99  																															| (607) all_0_93_93 = e4
% 45.54/14.99  																															|
% 45.54/14.99  																																| Equations (607) can reduce 201 to:
% 45.54/14.99  																																| (648)  ~ (all_0_85_85 = e4)
% 45.54/14.99  																																|
% 45.54/14.99  																																| Equations (607) can reduce 34 to:
% 45.54/14.99  																																| (467)  ~ (all_0_90_90 = e4)
% 45.54/14.99  																																|
% 45.54/14.99  																																| Equations (607) can reduce 44 to:
% 45.54/14.99  																																| (133)  ~ (all_0_91_91 = e4)
% 45.54/14.99  																																|
% 45.54/14.99  																																+-Applying beta-rule and splitting (171), into two cases.
% 45.54/14.99  																																|-Branch one:
% 45.54/14.99  																																| (789) all_0_82_82 = e3
% 45.54/14.99  																																|
% 45.54/14.99  																																	| Combining equations (469,789) yields a new equation:
% 45.54/14.99  																																	| (790) e4 = e3
% 45.54/14.99  																																	|
% 45.54/14.99  																																	| Simplifying 790 yields:
% 45.54/14.99  																																	| (434) e4 = e3
% 45.54/14.99  																																	|
% 45.54/14.99  																																	| Equations (434) can reduce 177 to:
% 45.54/14.99  																																	| (311) $false
% 45.54/14.99  																																	|
% 45.54/14.99  																																	|-The branch is then unsatisfiable
% 45.54/14.99  																																|-Branch two:
% 45.54/14.99  																																| (793)  ~ (all_0_82_82 = e3)
% 45.54/14.99  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.54/14.99  																																|
% 45.54/14.99  																																	+-Applying beta-rule and splitting (220), into two cases.
% 45.54/14.99  																																	|-Branch one:
% 45.54/14.99  																																	| (771) all_0_78_78 = e3
% 45.54/14.99  																																	|
% 45.54/14.99  																																		| Combining equations (400,771) yields a new equation:
% 45.54/14.99  																																		| (548) e3 = e2
% 45.54/14.99  																																		|
% 45.54/14.99  																																		| Equations (548) can reduce 169 to:
% 45.54/14.99  																																		| (311) $false
% 45.54/14.99  																																		|
% 45.54/14.99  																																		|-The branch is then unsatisfiable
% 45.54/14.99  																																	|-Branch two:
% 45.54/14.99  																																	| (418)  ~ (all_0_78_78 = e3)
% 45.54/14.99  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.54/14.99  																																	|
% 45.54/14.99  																																		| Equations (400) can reduce 418 to:
% 45.54/14.99  																																		| (356)  ~ (e3 = e2)
% 45.54/14.99  																																		|
% 45.54/14.99  																																		| Simplifying 356 yields:
% 45.54/14.99  																																		| (169)  ~ (e3 = e2)
% 45.54/14.99  																																		|
% 45.54/14.99  																																		+-Applying beta-rule and splitting (250), into two cases.
% 45.54/14.99  																																		|-Branch one:
% 45.54/14.99  																																		| (635) all_0_81_81 = e3
% 45.54/14.99  																																		|
% 45.54/14.99  																																			| Combining equations (477,635) yields a new equation:
% 45.54/14.99  																																			| (772) e3 = e1
% 45.54/14.99  																																			|
% 45.54/14.99  																																			| Equations (772) can reduce 20 to:
% 45.54/14.99  																																			| (311) $false
% 45.54/14.99  																																			|
% 45.54/14.99  																																			|-The branch is then unsatisfiable
% 45.54/14.99  																																		|-Branch two:
% 45.54/14.99  																																		| (420)  ~ (all_0_81_81 = e3)
% 45.54/14.99  																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 45.54/14.99  																																		|
% 45.54/14.99  																																			| Equations (477) can reduce 420 to:
% 45.54/14.99  																																			| (683)  ~ (e3 = e1)
% 45.54/14.99  																																			|
% 45.54/14.99  																																			| Simplifying 683 yields:
% 45.54/14.99  																																			| (20)  ~ (e3 = e1)
% 45.54/14.99  																																			|
% 45.54/14.99  																																			+-Applying beta-rule and splitting (92), into two cases.
% 45.54/14.99  																																			|-Branch one:
% 45.54/14.99  																																			| (552) all_0_84_84 = e2
% 45.54/14.99  																																			|
% 45.54/14.99  																																				| Equations (552) can reduce 612 to:
% 45.54/14.99  																																				| (311) $false
% 45.54/14.99  																																				|
% 45.54/14.99  																																				|-The branch is then unsatisfiable
% 45.54/14.99  																																			|-Branch two:
% 45.54/14.99  																																			| (612)  ~ (all_0_84_84 = e2)
% 45.54/14.99  																																			| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 45.54/14.99  																																			|
% 45.54/14.99  																																				+-Applying beta-rule and splitting (249), into two cases.
% 45.54/14.99  																																				|-Branch one:
% 45.54/14.99  																																				| (910) all_0_82_82 = e0
% 45.54/14.99  																																				|
% 45.54/14.99  																																					| Combining equations (469,910) yields a new equation:
% 45.54/14.99  																																					| (911) e4 = e0
% 45.54/14.99  																																					|
% 45.54/14.99  																																					| Simplifying 911 yields:
% 45.54/14.99  																																					| (912) e4 = e0
% 45.54/14.99  																																					|
% 45.54/14.99  																																					| Equations (912) can reduce 23 to:
% 45.54/14.99  																																					| (311) $false
% 45.54/14.99  																																					|
% 45.54/14.99  																																					|-The branch is then unsatisfiable
% 45.54/14.99  																																				|-Branch two:
% 45.54/14.99  																																				| (914)  ~ (all_0_82_82 = e0)
% 45.54/14.99  																																				| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.54/14.99  																																				|
% 45.54/14.99  																																					+-Applying beta-rule and splitting (84), into two cases.
% 45.54/14.99  																																					|-Branch one:
% 45.54/14.99  																																					| (1704) all_0_96_96 = e2
% 45.54/14.99  																																					|
% 45.54/14.99  																																						| Equations (1704) can reduce 1638 to:
% 45.54/14.99  																																						| (311) $false
% 45.54/14.99  																																						|
% 45.54/14.99  																																						|-The branch is then unsatisfiable
% 45.54/14.99  																																					|-Branch two:
% 45.54/14.99  																																					| (1638)  ~ (all_0_96_96 = e2)
% 45.54/14.99  																																					| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.54/14.99  																																					|
% 45.54/14.99  																																						+-Applying beta-rule and splitting (270), into two cases.
% 45.54/14.99  																																						|-Branch one:
% 45.54/14.99  																																						| (744) all_0_95_95 = e3
% 45.54/14.99  																																						|
% 45.54/14.99  																																							| Equations (744) can reduce 229 to:
% 45.54/14.99  																																							| (745)  ~ (all_0_90_90 = e3)
% 45.54/14.99  																																							|
% 45.54/14.99  																																							| Equations (744) can reduce 893 to:
% 45.54/14.99  																																							| (50)  ~ (e3 = e0)
% 45.54/14.99  																																							|
% 45.54/14.99  																																							+-Applying beta-rule and splitting (176), into two cases.
% 45.54/14.99  																																							|-Branch one:
% 45.54/14.99  																																							| (785) all_0_95_95 = e1
% 45.54/14.99  																																							|
% 45.54/14.99  																																								| Combining equations (744,785) yields a new equation:
% 45.54/14.99  																																								| (825) e3 = e1
% 45.54/14.99  																																								|
% 45.54/14.99  																																								| Simplifying 825 yields:
% 45.54/14.99  																																								| (772) e3 = e1
% 45.54/14.99  																																								|
% 45.54/14.99  																																								| Equations (772) can reduce 20 to:
% 45.54/14.99  																																								| (311) $false
% 45.54/14.99  																																								|
% 45.54/14.99  																																								|-The branch is then unsatisfiable
% 45.54/14.99  																																							|-Branch two:
% 45.54/14.99  																																							| (680)  ~ (all_0_95_95 = e1)
% 45.54/14.99  																																							| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/14.99  																																							|
% 45.54/14.99  																																								+-Applying beta-rule and splitting (788), into two cases.
% 45.54/14.99  																																								|-Branch one:
% 45.54/14.99  																																								| (960) all_0_96_96 = e1
% 45.54/14.99  																																								|
% 45.54/14.99  																																									+-Applying beta-rule and splitting (102), into two cases.
% 45.54/14.99  																																									|-Branch one:
% 45.54/14.99  																																									| (858) all_0_95_95 = e0
% 45.54/14.99  																																									|
% 45.54/14.99  																																										| Combining equations (744,858) yields a new equation:
% 45.54/14.99  																																										| (599) e3 = e0
% 45.54/14.99  																																										|
% 45.54/14.99  																																										| Simplifying 599 yields:
% 45.54/14.99  																																										| (600) e3 = e0
% 45.54/14.99  																																										|
% 45.54/14.99  																																										| Equations (600) can reduce 50 to:
% 45.54/14.99  																																										| (311) $false
% 45.54/14.99  																																										|
% 45.54/14.99  																																										|-The branch is then unsatisfiable
% 45.54/14.99  																																									|-Branch two:
% 45.54/14.99  																																									| (893)  ~ (all_0_95_95 = e0)
% 45.54/14.99  																																									| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.54/14.99  																																									|
% 45.54/14.99  																																										+-Applying beta-rule and splitting (1921), into two cases.
% 45.54/14.99  																																										|-Branch one:
% 45.54/14.99  																																										| (1837) all_0_96_96 = e0
% 45.54/14.99  																																										|
% 45.54/14.99  																																											| Combining equations (960,1837) yields a new equation:
% 45.54/14.99  																																											| (1107) e1 = e0
% 45.54/14.99  																																											|
% 45.54/14.99  																																											| Simplifying 1107 yields:
% 45.54/14.99  																																											| (865) e1 = e0
% 45.54/14.99  																																											|
% 45.54/14.99  																																											| Equations (865) can reduce 264 to:
% 45.54/14.99  																																											| (311) $false
% 45.54/14.99  																																											|
% 45.54/14.99  																																											|-The branch is then unsatisfiable
% 45.54/14.99  																																										|-Branch two:
% 45.54/14.99  																																										| (2095)  ~ (all_0_96_96 = e0)
% 45.54/14.99  																																										| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 45.54/14.99  																																										|
% 45.54/14.99  																																											+-Applying beta-rule and splitting (2096), into two cases.
% 45.54/14.99  																																											|-Branch one:
% 45.54/14.99  																																											| (560) all_0_97_97 = e0
% 45.54/14.99  																																											|
% 45.54/14.99  																																												| Combining equations (560,538) yields a new equation:
% 45.54/14.99  																																												| (379) e2 = e0
% 45.54/14.99  																																												|
% 45.54/14.99  																																												| Equations (379) can reduce 76 to:
% 45.54/14.99  																																												| (311) $false
% 45.54/14.99  																																												|
% 45.54/14.99  																																												|-The branch is then unsatisfiable
% 45.54/14.99  																																											|-Branch two:
% 45.54/14.99  																																											| (609)  ~ (all_0_97_97 = e0)
% 45.54/14.99  																																											| (1121) all_0_98_98 = e0
% 45.54/14.99  																																											|
% 45.54/14.99  																																												| Equations (1121) can reduce 75 to:
% 45.54/14.99  																																												| (800)  ~ (all_0_85_85 = e0)
% 45.54/14.99  																																												|
% 45.54/14.99  																																												+-Applying beta-rule and splitting (182), into two cases.
% 45.54/14.99  																																												|-Branch one:
% 45.54/14.99  																																												| (512) all_0_85_85 = e2
% 45.54/14.99  																																												|
% 45.54/14.99  																																													| Equations (512) can reduce 515 to:
% 45.54/14.99  																																													| (311) $false
% 45.54/14.99  																																													|
% 45.54/14.99  																																													|-The branch is then unsatisfiable
% 45.54/14.99  																																												|-Branch two:
% 45.54/14.99  																																												| (515)  ~ (all_0_85_85 = e2)
% 45.54/14.99  																																												| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.54/14.99  																																												|
% 45.54/14.99  																																													+-Applying beta-rule and splitting (132), into two cases.
% 45.54/14.99  																																													|-Branch one:
% 45.54/14.99  																																													| (750) all_0_90_90 = e1
% 45.54/14.99  																																													|
% 45.54/14.99  																																														| Equations (750) can reduce 103 to:
% 45.54/14.99  																																														| (1669)  ~ (all_0_91_91 = e1)
% 45.54/14.99  																																														|
% 45.54/14.99  																																														| Simplifying 1669 yields:
% 45.54/14.99  																																														| (959)  ~ (all_0_91_91 = e1)
% 45.54/14.99  																																														|
% 45.54/14.99  																																														| From (750) and (743) follows:
% 45.54/14.99  																																														| (12314) op(e3, e1) = e1
% 45.54/14.99  																																														|
% 45.54/14.99  																																														+-Applying beta-rule and splitting (725), into two cases.
% 45.54/14.99  																																														|-Branch one:
% 45.54/14.99  																																														| (804) all_0_85_85 = e3
% 45.54/14.99  																																														|
% 45.54/14.99  																																															| Equations (804) can reduce 154 to:
% 45.54/14.99  																																															| (422)  ~ (all_0_84_84 = e3)
% 45.54/14.99  																																															|
% 45.54/14.99  																																															+-Applying beta-rule and splitting (617), into two cases.
% 45.54/14.99  																																															|-Branch one:
% 45.54/14.99  																																															| (1265) all_0_84_84 = e3
% 45.54/14.99  																																															|
% 45.54/14.99  																																																| Equations (1265) can reduce 422 to:
% 45.54/14.99  																																																| (311) $false
% 45.54/14.99  																																																|
% 45.54/14.99  																																																|-The branch is then unsatisfiable
% 45.54/14.99  																																															|-Branch two:
% 45.54/14.99  																																															| (422)  ~ (all_0_84_84 = e3)
% 45.54/14.99  																																															| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 45.54/14.99  																																															|
% 45.54/14.99  																																																+-Applying beta-rule and splitting (1268), into two cases.
% 45.54/14.99  																																																|-Branch one:
% 45.54/14.99  																																																| (916) all_0_84_84 = e0
% 45.54/14.99  																																																|
% 45.54/14.99  																																																	| From (916) and (232) follows:
% 45.54/15.00  																																																	| (12396) op(e3, e1) = e0
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	+-Applying beta-rule and splitting (284), into two cases.
% 45.54/15.00  																																																	|-Branch one:
% 45.54/15.00  																																																	| (1723) all_0_91_91 = e2
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		| Equations (1723) can reduce 296 to:
% 45.54/15.00  																																																		| (311) $false
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																		|-The branch is then unsatisfiable
% 45.54/15.00  																																																	|-Branch two:
% 45.54/15.00  																																																	| (296)  ~ (all_0_91_91 = e2)
% 45.54/15.00  																																																	| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		+-Applying beta-rule and splitting (1726), into two cases.
% 45.54/15.00  																																																		|-Branch one:
% 45.54/15.00  																																																		| (801) all_0_91_91 = e1
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																			| Equations (801) can reduce 959 to:
% 45.54/15.00  																																																			| (311) $false
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																			|-The branch is then unsatisfiable
% 45.54/15.00  																																																		|-Branch two:
% 45.54/15.00  																																																		| (959)  ~ (all_0_91_91 = e1)
% 45.54/15.00  																																																		| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																			+-Applying beta-rule and splitting (1880), into two cases.
% 45.54/15.00  																																																			|-Branch one:
% 45.54/15.00  																																																			| (588) all_0_91_91 = e3
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																				| Equations (588) can reduce 571 to:
% 45.54/15.00  																																																				| (311) $false
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				|-The branch is then unsatisfiable
% 45.54/15.00  																																																			|-Branch two:
% 45.54/15.00  																																																			| (571)  ~ (all_0_91_91 = e3)
% 45.54/15.00  																																																			| (1456) all_0_91_91 = e0
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																				| Equations (1456) can reduce 959 to:
% 45.54/15.00  																																																				| (859)  ~ (e1 = e0)
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				| Simplifying 859 yields:
% 45.54/15.00  																																																				| (264)  ~ (e1 = e0)
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				| Instantiating formula (262) with e3, e1, e0, e1 and discharging atoms op(e3, e1) = e1, op(e3, e1) = e0, yields:
% 45.54/15.00  																																																				| (865) e1 = e0
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				| Equations (865) can reduce 264 to:
% 45.54/15.00  																																																				| (311) $false
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				|-The branch is then unsatisfiable
% 45.54/15.00  																																																|-Branch two:
% 45.54/15.00  																																																| (919)  ~ (all_0_84_84 = e0)
% 45.54/15.00  																																																| (438) all_0_84_84 = e4
% 45.54/15.00  																																																|
% 45.54/15.00  																																																	| Equations (438) can reduce 417 to:
% 45.54/15.00  																																																	| (311) $false
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	|-The branch is then unsatisfiable
% 45.54/15.00  																																														|-Branch two:
% 45.54/15.00  																																														| (952)  ~ (all_0_85_85 = e3)
% 45.54/15.00  																																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.54/15.00  																																														|
% 45.54/15.00  																																															+-Applying beta-rule and splitting (953), into two cases.
% 45.54/15.00  																																															|-Branch one:
% 45.54/15.00  																																															| (954) all_0_85_85 = e0
% 45.54/15.00  																																															|
% 45.54/15.00  																																																| Equations (954) can reduce 800 to:
% 45.54/15.00  																																																| (311) $false
% 45.54/15.00  																																																|
% 45.54/15.00  																																																|-The branch is then unsatisfiable
% 45.54/15.00  																																															|-Branch two:
% 45.54/15.00  																																															| (800)  ~ (all_0_85_85 = e0)
% 45.54/15.00  																																															| (493) all_0_85_85 = e4
% 45.54/15.00  																																															|
% 45.54/15.00  																																																| Equations (493) can reduce 648 to:
% 45.54/15.00  																																																| (311) $false
% 45.54/15.00  																																																|
% 45.54/15.00  																																																|-The branch is then unsatisfiable
% 45.54/15.00  																																													|-Branch two:
% 45.54/15.00  																																													| (678)  ~ (all_0_90_90 = e1)
% 45.54/15.00  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.54/15.00  																																													|
% 45.54/15.00  																																														+-Applying beta-rule and splitting (27), into two cases.
% 45.54/15.00  																																														|-Branch one:
% 45.54/15.00  																																														| (746) all_0_90_90 = e2
% 45.54/15.00  																																														|
% 45.54/15.00  																																															| Equations (746) can reduce 294 to:
% 45.54/15.00  																																															| (311) $false
% 45.54/15.00  																																															|
% 45.54/15.00  																																															|-The branch is then unsatisfiable
% 45.54/15.00  																																														|-Branch two:
% 45.54/15.00  																																														| (294)  ~ (all_0_90_90 = e2)
% 45.54/15.00  																																														| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.54/15.00  																																														|
% 45.54/15.00  																																															+-Applying beta-rule and splitting (282), into two cases.
% 45.54/15.00  																																															|-Branch one:
% 45.54/15.00  																																															| (754) all_0_90_90 = e3
% 45.54/15.00  																																															|
% 45.54/15.00  																																																| Equations (754) can reduce 745 to:
% 45.54/15.00  																																																| (311) $false
% 45.54/15.00  																																																|
% 45.54/15.00  																																																|-The branch is then unsatisfiable
% 45.54/15.00  																																															|-Branch two:
% 45.54/15.00  																																															| (745)  ~ (all_0_90_90 = e3)
% 45.54/15.00  																																															| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.54/15.00  																																															|
% 45.54/15.00  																																																+-Applying beta-rule and splitting (291), into two cases.
% 45.54/15.00  																																																|-Branch one:
% 45.54/15.00  																																																| (758) all_0_90_90 = e0
% 45.54/15.00  																																																|
% 45.54/15.00  																																																	| Equations (758) can reduce 762 to:
% 45.54/15.00  																																																	| (311) $false
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	|-The branch is then unsatisfiable
% 45.54/15.00  																																																|-Branch two:
% 45.54/15.00  																																																| (762)  ~ (all_0_90_90 = e0)
% 45.54/15.00  																																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.54/15.00  																																																|
% 45.54/15.00  																																																	+-Applying beta-rule and splitting (749), into two cases.
% 45.54/15.00  																																																	|-Branch one:
% 45.54/15.00  																																																	| (750) all_0_90_90 = e1
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		| Equations (750) can reduce 678 to:
% 45.54/15.00  																																																		| (311) $false
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																		|-The branch is then unsatisfiable
% 45.54/15.00  																																																	|-Branch two:
% 45.54/15.00  																																																	| (678)  ~ (all_0_90_90 = e1)
% 45.54/15.00  																																																	| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		+-Applying beta-rule and splitting (753), into two cases.
% 45.54/15.00  																																																		|-Branch one:
% 45.54/15.00  																																																		| (754) all_0_90_90 = e3
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																			| Equations (754) can reduce 745 to:
% 45.54/15.00  																																																			| (311) $false
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																			|-The branch is then unsatisfiable
% 45.54/15.00  																																																		|-Branch two:
% 45.54/15.00  																																																		| (745)  ~ (all_0_90_90 = e3)
% 45.54/15.00  																																																		| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																			+-Applying beta-rule and splitting (757), into two cases.
% 45.54/15.00  																																																			|-Branch one:
% 45.54/15.00  																																																			| (758) all_0_90_90 = e0
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																				| Equations (758) can reduce 762 to:
% 45.54/15.00  																																																				| (311) $false
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				|-The branch is then unsatisfiable
% 45.54/15.00  																																																			|-Branch two:
% 45.54/15.00  																																																			| (762)  ~ (all_0_90_90 = e0)
% 45.54/15.00  																																																			| (583) all_0_90_90 = e4
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																				| Equations (583) can reduce 467 to:
% 45.54/15.00  																																																				| (311) $false
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				|-The branch is then unsatisfiable
% 45.54/15.00  																																								|-Branch two:
% 45.54/15.00  																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																								| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.54/15.00  																																								|
% 45.54/15.00  																																									+-Applying beta-rule and splitting (2126), into two cases.
% 45.54/15.00  																																									|-Branch one:
% 45.54/15.00  																																									| (542) all_0_97_97 = e1
% 45.54/15.00  																																									|
% 45.54/15.00  																																										| Combining equations (538,542) yields a new equation:
% 45.54/15.00  																																										| (408) e2 = e1
% 45.54/15.00  																																										|
% 45.54/15.00  																																										| Simplifying 408 yields:
% 45.54/15.00  																																										| (385) e2 = e1
% 45.54/15.00  																																										|
% 45.54/15.00  																																										| Equations (385) can reduce 243 to:
% 45.54/15.00  																																										| (311) $false
% 45.54/15.00  																																										|
% 45.54/15.00  																																										|-The branch is then unsatisfiable
% 45.54/15.00  																																									|-Branch two:
% 45.54/15.00  																																									| (486)  ~ (all_0_97_97 = e1)
% 45.54/15.00  																																									| (1543) all_0_98_98 = e1
% 45.54/15.00  																																									|
% 45.54/15.00  																																										| Equations (1543) can reduce 1804 to:
% 45.54/15.00  																																										| (311) $false
% 45.54/15.00  																																										|
% 45.54/15.00  																																										|-The branch is then unsatisfiable
% 45.54/15.00  																																						|-Branch two:
% 45.54/15.00  																																						| (765)  ~ (all_0_95_95 = e3)
% 45.54/15.00  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.54/15.00  																																						|
% 45.54/15.00  																																							+-Applying beta-rule and splitting (766), into two cases.
% 45.54/15.00  																																							|-Branch one:
% 45.54/15.00  																																							| (778) all_0_96_96 = e3
% 45.54/15.00  																																							|
% 45.54/15.00  																																								| Equations (778) can reduce 964 to:
% 45.54/15.00  																																								| (311) $false
% 45.54/15.00  																																								|
% 45.54/15.00  																																								|-The branch is then unsatisfiable
% 45.54/15.00  																																							|-Branch two:
% 45.54/15.00  																																							| (964)  ~ (all_0_96_96 = e3)
% 45.54/15.00  																																							| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.54/15.00  																																							|
% 45.54/15.00  																																								+-Applying beta-rule and splitting (965), into two cases.
% 45.54/15.00  																																								|-Branch one:
% 45.54/15.00  																																								| (556) all_0_97_97 = e3
% 45.54/15.00  																																								|
% 45.54/15.00  																																									| Combining equations (556,538) yields a new equation:
% 45.54/15.00  																																									| (547) e3 = e2
% 45.54/15.00  																																									|
% 45.54/15.00  																																									| Simplifying 547 yields:
% 45.54/15.00  																																									| (548) e3 = e2
% 45.54/15.00  																																									|
% 45.54/15.00  																																									| Equations (548) can reduce 169 to:
% 45.54/15.00  																																									| (311) $false
% 45.54/15.00  																																									|
% 45.54/15.00  																																									|-The branch is then unsatisfiable
% 45.54/15.00  																																								|-Branch two:
% 45.54/15.00  																																								| (428)  ~ (all_0_97_97 = e3)
% 45.54/15.00  																																								| (969) all_0_98_98 = e3
% 45.54/15.00  																																								|
% 45.54/15.00  																																									| Equations (969) can reduce 75 to:
% 45.54/15.00  																																									| (952)  ~ (all_0_85_85 = e3)
% 45.54/15.00  																																									|
% 45.54/15.00  																																									| Equations (969) can reduce 107 to:
% 45.54/15.00  																																									| (765)  ~ (all_0_95_95 = e3)
% 45.54/15.00  																																									|
% 45.54/15.00  																																									| Equations (969) can reduce 43 to:
% 45.54/15.00  																																									| (964)  ~ (all_0_96_96 = e3)
% 45.54/15.00  																																									|
% 45.54/15.00  																																									| Equations (969) can reduce 1349 to:
% 45.54/15.00  																																									| (169)  ~ (e3 = e2)
% 45.54/15.00  																																									|
% 45.54/15.00  																																									+-Applying beta-rule and splitting (99), into two cases.
% 45.54/15.00  																																									|-Branch one:
% 45.54/15.00  																																									| (767) all_0_95_95 = e2
% 45.54/15.00  																																									|
% 45.54/15.00  																																										| Equations (767) can reduce 355 to:
% 45.54/15.00  																																										| (311) $false
% 45.54/15.00  																																										|
% 45.54/15.00  																																										|-The branch is then unsatisfiable
% 45.54/15.00  																																									|-Branch two:
% 45.54/15.00  																																									| (355)  ~ (all_0_95_95 = e2)
% 45.54/15.00  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.54/15.00  																																									|
% 45.54/15.00  																																										+-Applying beta-rule and splitting (770), into two cases.
% 45.54/15.00  																																										|-Branch one:
% 45.54/15.00  																																										| (785) all_0_95_95 = e1
% 45.54/15.00  																																										|
% 45.54/15.00  																																											| Equations (785) can reduce 229 to:
% 45.54/15.00  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.54/15.00  																																											|
% 45.54/15.00  																																											| Equations (785) can reduce 279 to:
% 45.54/15.00  																																											| (1671)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																											|
% 45.54/15.00  																																											| Simplifying 1671 yields:
% 45.54/15.00  																																											| (1479)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																											|
% 45.54/15.00  																																											+-Applying beta-rule and splitting (132), into two cases.
% 45.54/15.00  																																											|-Branch one:
% 45.54/15.00  																																											| (750) all_0_90_90 = e1
% 45.54/15.00  																																											|
% 45.54/15.00  																																												| Equations (750) can reduce 678 to:
% 45.54/15.00  																																												| (311) $false
% 45.54/15.00  																																												|
% 45.54/15.00  																																												|-The branch is then unsatisfiable
% 45.54/15.00  																																											|-Branch two:
% 45.54/15.00  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.54/15.00  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.54/15.00  																																											|
% 45.54/15.00  																																												+-Applying beta-rule and splitting (1526), into two cases.
% 45.54/15.00  																																												|-Branch one:
% 45.54/15.00  																																												| (801) all_0_91_91 = e1
% 45.54/15.00  																																												|
% 45.54/15.00  																																													| Equations (801) can reduce 103 to:
% 45.54/15.00  																																													| (678)  ~ (all_0_90_90 = e1)
% 45.54/15.00  																																													|
% 45.54/15.00  																																													| Equations (801) can reduce 64 to:
% 45.54/15.00  																																													| (1671)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																													|
% 45.54/15.00  																																													| Simplifying 1671 yields:
% 45.54/15.00  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																													|
% 45.54/15.00  																																													| Equations (801) can reduce 133 to:
% 45.54/15.00  																																													| (681)  ~ (e4 = e1)
% 45.54/15.00  																																													|
% 45.54/15.00  																																													| Simplifying 681 yields:
% 45.54/15.00  																																													| (256)  ~ (e4 = e1)
% 45.54/15.00  																																													|
% 45.54/15.00  																																													+-Applying beta-rule and splitting (291), into two cases.
% 45.54/15.00  																																													|-Branch one:
% 45.54/15.00  																																													| (758) all_0_90_90 = e0
% 45.54/15.00  																																													|
% 45.54/15.00  																																														| Equations (758) can reduce 762 to:
% 45.54/15.00  																																														| (311) $false
% 45.54/15.00  																																														|
% 45.54/15.00  																																														|-The branch is then unsatisfiable
% 45.54/15.00  																																													|-Branch two:
% 45.54/15.00  																																													| (762)  ~ (all_0_90_90 = e0)
% 45.54/15.00  																																													| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.54/15.00  																																													|
% 45.54/15.00  																																														+-Applying beta-rule and splitting (27), into two cases.
% 45.54/15.00  																																														|-Branch one:
% 45.54/15.00  																																														| (746) all_0_90_90 = e2
% 45.54/15.00  																																														|
% 45.54/15.00  																																															| Equations (746) can reduce 294 to:
% 45.54/15.00  																																															| (311) $false
% 45.54/15.00  																																															|
% 45.54/15.00  																																															|-The branch is then unsatisfiable
% 45.54/15.00  																																														|-Branch two:
% 45.54/15.00  																																														| (294)  ~ (all_0_90_90 = e2)
% 45.54/15.00  																																														| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.54/15.00  																																														|
% 45.54/15.00  																																															+-Applying beta-rule and splitting (1707), into two cases.
% 45.54/15.00  																																															|-Branch one:
% 45.54/15.00  																																															| (960) all_0_96_96 = e1
% 45.54/15.00  																																															|
% 45.54/15.00  																																																| Equations (960) can reduce 1479 to:
% 45.54/15.00  																																																| (311) $false
% 45.54/15.00  																																																|
% 45.54/15.00  																																																|-The branch is then unsatisfiable
% 45.54/15.00  																																															|-Branch two:
% 45.54/15.00  																																															| (1479)  ~ (all_0_96_96 = e1)
% 45.54/15.00  																																															| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.54/15.00  																																															|
% 45.54/15.00  																																																+-Applying beta-rule and splitting (289), into two cases.
% 45.54/15.00  																																																|-Branch one:
% 45.54/15.00  																																																| (954) all_0_85_85 = e0
% 45.54/15.00  																																																|
% 45.54/15.00  																																																	| Equations (954) can reduce 154 to:
% 45.54/15.00  																																																	| (919)  ~ (all_0_84_84 = e0)
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	| Equations (954) can reduce 648 to:
% 45.54/15.00  																																																	| (904)  ~ (e4 = e0)
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	| Simplifying 904 yields:
% 45.54/15.00  																																																	| (23)  ~ (e4 = e0)
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	| Equations (954) can reduce 128 to:
% 45.54/15.00  																																																	| (859)  ~ (e1 = e0)
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	| Simplifying 859 yields:
% 45.54/15.00  																																																	| (264)  ~ (e1 = e0)
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 45.54/15.00  																																																	|-Branch one:
% 45.54/15.00  																																																	| (916) all_0_84_84 = e0
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		| Equations (916) can reduce 919 to:
% 45.54/15.00  																																																		| (311) $false
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																		|-The branch is then unsatisfiable
% 45.54/15.00  																																																	|-Branch two:
% 45.54/15.00  																																																	| (919)  ~ (all_0_84_84 = e0)
% 45.54/15.00  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.54/15.00  																																																	|
% 45.54/15.00  																																																		+-Applying beta-rule and splitting (617), into two cases.
% 45.54/15.00  																																																		|-Branch one:
% 45.54/15.00  																																																		| (1265) all_0_84_84 = e3
% 45.54/15.00  																																																		|
% 45.54/15.00  																																																			| From (1265) and (150) follows:
% 45.54/15.00  																																																			| (4457) op(e3, e3) = all_0_63_63
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																			+-Applying beta-rule and splitting (282), into two cases.
% 45.54/15.00  																																																			|-Branch one:
% 45.54/15.00  																																																			| (754) all_0_90_90 = e3
% 45.54/15.00  																																																			|
% 45.54/15.00  																																																				| From (754) and (743) follows:
% 45.54/15.00  																																																				| (831) op(e3, e3) = e1
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				| Instantiating formula (262) with e3, e3, all_0_63_63, e4 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e4, yields:
% 45.54/15.00  																																																				| (10099) all_0_63_63 = e4
% 45.54/15.00  																																																				|
% 45.54/15.00  																																																				| Instantiating formula (262) with e3, e3, e1, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e1, yields:
% 45.54/15.00  																																																				| (10509) all_0_63_63 = e1
% 45.54/15.00  																																																				|
% 45.63/15.00  																																																				| Combining equations (10509,10099) yields a new equation:
% 45.63/15.00  																																																				| (814) e4 = e1
% 45.63/15.00  																																																				|
% 45.63/15.00  																																																				| Equations (814) can reduce 256 to:
% 45.63/15.00  																																																				| (311) $false
% 45.63/15.00  																																																				|
% 45.63/15.00  																																																				|-The branch is then unsatisfiable
% 45.63/15.00  																																																			|-Branch two:
% 45.63/15.00  																																																			| (745)  ~ (all_0_90_90 = e3)
% 45.63/15.00  																																																			| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.63/15.00  																																																			|
% 45.63/15.00  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 45.63/15.00  																																																				|-Branch one:
% 45.63/15.00  																																																				| (1456) all_0_91_91 = e0
% 45.63/15.00  																																																				|
% 45.63/15.00  																																																					| Combining equations (801,1456) yields a new equation:
% 45.63/15.00  																																																					| (1107) e1 = e0
% 45.63/15.00  																																																					|
% 45.63/15.00  																																																					| Simplifying 1107 yields:
% 45.63/15.00  																																																					| (865) e1 = e0
% 45.63/15.00  																																																					|
% 45.63/15.00  																																																					| Equations (865) can reduce 264 to:
% 45.63/15.00  																																																					| (311) $false
% 45.63/15.00  																																																					|
% 45.63/15.00  																																																					|-The branch is then unsatisfiable
% 45.63/15.00  																																																				|-Branch two:
% 45.63/15.00  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.00  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.00  																																																				|
% 45.63/15.00  																																																					+-Applying beta-rule and splitting (749), into two cases.
% 45.63/15.00  																																																					|-Branch one:
% 45.63/15.00  																																																					| (750) all_0_90_90 = e1
% 45.63/15.00  																																																					|
% 45.63/15.00  																																																						| Equations (750) can reduce 678 to:
% 45.63/15.00  																																																						| (311) $false
% 45.63/15.00  																																																						|
% 45.63/15.00  																																																						|-The branch is then unsatisfiable
% 45.63/15.00  																																																					|-Branch two:
% 45.63/15.00  																																																					| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.00  																																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																						+-Applying beta-rule and splitting (1488), into two cases.
% 45.63/15.01  																																																						|-Branch one:
% 45.63/15.01  																																																						| (942) all_0_92_92 = e0
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							| Equations (942) can reduce 72 to:
% 45.63/15.01  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							+-Applying beta-rule and splitting (753), into two cases.
% 45.63/15.01  																																																							|-Branch one:
% 45.63/15.01  																																																							| (754) all_0_90_90 = e3
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								| Equations (754) can reduce 745 to:
% 45.63/15.01  																																																								| (311) $false
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								|-The branch is then unsatisfiable
% 45.63/15.01  																																																							|-Branch two:
% 45.63/15.01  																																																							| (745)  ~ (all_0_90_90 = e3)
% 45.63/15.01  																																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								+-Applying beta-rule and splitting (757), into two cases.
% 45.63/15.01  																																																								|-Branch one:
% 45.63/15.01  																																																								| (758) all_0_90_90 = e0
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																									| Equations (758) can reduce 762 to:
% 45.63/15.01  																																																									| (311) $false
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																									|-The branch is then unsatisfiable
% 45.63/15.01  																																																								|-Branch two:
% 45.63/15.01  																																																								| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.01  																																																								| (583) all_0_90_90 = e4
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																									| Equations (583) can reduce 467 to:
% 45.63/15.01  																																																									| (311) $false
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																									|-The branch is then unsatisfiable
% 45.63/15.01  																																																						|-Branch two:
% 45.63/15.01  																																																						| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.01  																																																						| (604) all_0_93_93 = e0
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							| Combining equations (604,607) yields a new equation:
% 45.63/15.01  																																																							| (912) e4 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							| Equations (912) can reduce 23 to:
% 45.63/15.01  																																																							| (311) $false
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							|-The branch is then unsatisfiable
% 45.63/15.01  																																																		|-Branch two:
% 45.63/15.01  																																																		| (422)  ~ (all_0_84_84 = e3)
% 45.63/15.01  																																																		| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 45.63/15.01  																																																		|
% 45.63/15.01  																																																			+-Applying beta-rule and splitting (1268), into two cases.
% 45.63/15.01  																																																			|-Branch one:
% 45.63/15.01  																																																			| (916) all_0_84_84 = e0
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																				| Equations (916) can reduce 919 to:
% 45.63/15.01  																																																				| (311) $false
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				|-The branch is then unsatisfiable
% 45.63/15.01  																																																			|-Branch two:
% 45.63/15.01  																																																			| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.01  																																																			| (438) all_0_84_84 = e4
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																				| Equations (438) can reduce 417 to:
% 45.63/15.01  																																																				| (311) $false
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				|-The branch is then unsatisfiable
% 45.63/15.01  																																																|-Branch two:
% 45.63/15.01  																																																| (800)  ~ (all_0_85_85 = e0)
% 45.63/15.01  																																																| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.63/15.01  																																																|
% 45.63/15.01  																																																	+-Applying beta-rule and splitting (749), into two cases.
% 45.63/15.01  																																																	|-Branch one:
% 45.63/15.01  																																																	| (750) all_0_90_90 = e1
% 45.63/15.01  																																																	|
% 45.63/15.01  																																																		| Equations (750) can reduce 678 to:
% 45.63/15.01  																																																		| (311) $false
% 45.63/15.01  																																																		|
% 45.63/15.01  																																																		|-The branch is then unsatisfiable
% 45.63/15.01  																																																	|-Branch two:
% 45.63/15.01  																																																	| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.01  																																																	| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.63/15.01  																																																	|
% 45.63/15.01  																																																		+-Applying beta-rule and splitting (1296), into two cases.
% 45.63/15.01  																																																		|-Branch one:
% 45.63/15.01  																																																		| (795) all_0_83_83 = e3
% 45.63/15.01  																																																		|
% 45.63/15.01  																																																			| Combining equations (453,795) yields a new equation:
% 45.63/15.01  																																																			| (548) e3 = e2
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																			| Equations (548) can reduce 169 to:
% 45.63/15.01  																																																			| (311) $false
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																			|-The branch is then unsatisfiable
% 45.63/15.01  																																																		|-Branch two:
% 45.63/15.01  																																																		| (779)  ~ (all_0_83_83 = e3)
% 45.63/15.01  																																																		| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.63/15.01  																																																		|
% 45.63/15.01  																																																			+-Applying beta-rule and splitting (2016), into two cases.
% 45.63/15.01  																																																			|-Branch one:
% 45.63/15.01  																																																			| (778) all_0_96_96 = e3
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																				| Equations (778) can reduce 964 to:
% 45.63/15.01  																																																				| (311) $false
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				|-The branch is then unsatisfiable
% 45.63/15.01  																																																			|-Branch two:
% 45.63/15.01  																																																			| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.01  																																																			| (1837) all_0_96_96 = e0
% 45.63/15.01  																																																			|
% 45.63/15.01  																																																				| Equations (1837) can reduce 115 to:
% 45.63/15.01  																																																				| (904)  ~ (e4 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				| Simplifying 904 yields:
% 45.63/15.01  																																																				| (23)  ~ (e4 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				| Equations (1837) can reduce 1638 to:
% 45.63/15.01  																																																				| (510)  ~ (e2 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				| Simplifying 510 yields:
% 45.63/15.01  																																																				| (76)  ~ (e2 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				| Equations (1837) can reduce 1479 to:
% 45.63/15.01  																																																				| (859)  ~ (e1 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				| Simplifying 859 yields:
% 45.63/15.01  																																																				| (264)  ~ (e1 = e0)
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 45.63/15.01  																																																				|-Branch one:
% 45.63/15.01  																																																				| (1456) all_0_91_91 = e0
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																					| Combining equations (801,1456) yields a new equation:
% 45.63/15.01  																																																					| (1107) e1 = e0
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																					| Simplifying 1107 yields:
% 45.63/15.01  																																																					| (865) e1 = e0
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																					| Equations (865) can reduce 264 to:
% 45.63/15.01  																																																					| (311) $false
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																					|-The branch is then unsatisfiable
% 45.63/15.01  																																																				|-Branch two:
% 45.63/15.01  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.01  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.01  																																																				|
% 45.63/15.01  																																																					+-Applying beta-rule and splitting (753), into two cases.
% 45.63/15.01  																																																					|-Branch one:
% 45.63/15.01  																																																					| (754) all_0_90_90 = e3
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																						| Equations (754) can reduce 762 to:
% 45.63/15.01  																																																						| (50)  ~ (e3 = e0)
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																						+-Applying beta-rule and splitting (1594), into two cases.
% 45.63/15.01  																																																						|-Branch one:
% 45.63/15.01  																																																						| (1265) all_0_84_84 = e3
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							+-Applying beta-rule and splitting (2), into two cases.
% 45.63/15.01  																																																							|-Branch one:
% 45.63/15.01  																																																							| (916) all_0_84_84 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								| Combining equations (1265,916) yields a new equation:
% 45.63/15.01  																																																								| (599) e3 = e0
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								| Simplifying 599 yields:
% 45.63/15.01  																																																								| (600) e3 = e0
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								| Equations (600) can reduce 50 to:
% 45.63/15.01  																																																								| (311) $false
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								|-The branch is then unsatisfiable
% 45.63/15.01  																																																							|-Branch two:
% 45.63/15.01  																																																							| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.01  																																																							| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								| Equations (1265) can reduce 919 to:
% 45.63/15.01  																																																								| (50)  ~ (e3 = e0)
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								+-Applying beta-rule and splitting (1309), into two cases.
% 45.63/15.01  																																																								|-Branch one:
% 45.63/15.01  																																																								| (798) all_0_83_83 = e0
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																									| Combining equations (798,453) yields a new equation:
% 45.63/15.01  																																																									| (379) e2 = e0
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																									| Equations (379) can reduce 76 to:
% 45.63/15.01  																																																									| (311) $false
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																									|-The branch is then unsatisfiable
% 45.63/15.01  																																																								|-Branch two:
% 45.63/15.01  																																																								| (1314)  ~ (all_0_83_83 = e0)
% 45.63/15.01  																																																								| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																									+-Applying beta-rule and splitting (1315), into two cases.
% 45.63/15.01  																																																									|-Branch one:
% 45.63/15.01  																																																									| (916) all_0_84_84 = e0
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																										| Combining equations (1265,916) yields a new equation:
% 45.63/15.01  																																																										| (599) e3 = e0
% 45.63/15.01  																																																										|
% 45.63/15.01  																																																										| Simplifying 599 yields:
% 45.63/15.01  																																																										| (600) e3 = e0
% 45.63/15.01  																																																										|
% 45.63/15.01  																																																										| Equations (600) can reduce 50 to:
% 45.63/15.01  																																																										| (311) $false
% 45.63/15.01  																																																										|
% 45.63/15.01  																																																										|-The branch is then unsatisfiable
% 45.63/15.01  																																																									|-Branch two:
% 45.63/15.01  																																																									| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.01  																																																									| (954) all_0_85_85 = e0
% 45.63/15.01  																																																									|
% 45.63/15.01  																																																										| Equations (954) can reduce 800 to:
% 45.63/15.01  																																																										| (311) $false
% 45.63/15.01  																																																										|
% 45.63/15.01  																																																										|-The branch is then unsatisfiable
% 45.63/15.01  																																																						|-Branch two:
% 45.63/15.01  																																																						| (422)  ~ (all_0_84_84 = e3)
% 45.63/15.01  																																																						| (804) all_0_85_85 = e3
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							| Equations (804) can reduce 952 to:
% 45.63/15.01  																																																							| (311) $false
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							|-The branch is then unsatisfiable
% 45.63/15.01  																																																					|-Branch two:
% 45.63/15.01  																																																					| (745)  ~ (all_0_90_90 = e3)
% 45.63/15.01  																																																					| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.63/15.01  																																																					|
% 45.63/15.01  																																																						+-Applying beta-rule and splitting (1488), into two cases.
% 45.63/15.01  																																																						|-Branch one:
% 45.63/15.01  																																																						| (942) all_0_92_92 = e0
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							| Equations (942) can reduce 72 to:
% 45.63/15.01  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							+-Applying beta-rule and splitting (757), into two cases.
% 45.63/15.01  																																																							|-Branch one:
% 45.63/15.01  																																																							| (758) all_0_90_90 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								| Equations (758) can reduce 762 to:
% 45.63/15.01  																																																								| (311) $false
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								|-The branch is then unsatisfiable
% 45.63/15.01  																																																							|-Branch two:
% 45.63/15.01  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.01  																																																							| (583) all_0_90_90 = e4
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																								| Equations (583) can reduce 467 to:
% 45.63/15.01  																																																								| (311) $false
% 45.63/15.01  																																																								|
% 45.63/15.01  																																																								|-The branch is then unsatisfiable
% 45.63/15.01  																																																						|-Branch two:
% 45.63/15.01  																																																						| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.01  																																																						| (604) all_0_93_93 = e0
% 45.63/15.01  																																																						|
% 45.63/15.01  																																																							| Combining equations (607,604) yields a new equation:
% 45.63/15.01  																																																							| (911) e4 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							| Simplifying 911 yields:
% 45.63/15.01  																																																							| (912) e4 = e0
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							| Equations (912) can reduce 23 to:
% 45.63/15.01  																																																							| (311) $false
% 45.63/15.01  																																																							|
% 45.63/15.01  																																																							|-The branch is then unsatisfiable
% 45.63/15.01  																																												|-Branch two:
% 45.63/15.01  																																												| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.01  																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.01  																																												|
% 45.63/15.01  																																													+-Applying beta-rule and splitting (1707), into two cases.
% 45.63/15.01  																																													|-Branch one:
% 45.63/15.01  																																													| (960) all_0_96_96 = e1
% 45.63/15.01  																																													|
% 45.63/15.01  																																														| Equations (960) can reduce 1479 to:
% 45.63/15.01  																																														| (311) $false
% 45.63/15.01  																																														|
% 45.63/15.01  																																														|-The branch is then unsatisfiable
% 45.63/15.01  																																													|-Branch two:
% 45.63/15.01  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.01  																																													| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.63/15.01  																																													|
% 45.63/15.01  																																														+-Applying beta-rule and splitting (2016), into two cases.
% 45.63/15.01  																																														|-Branch one:
% 45.63/15.01  																																														| (778) all_0_96_96 = e3
% 45.63/15.01  																																														|
% 45.63/15.01  																																															| Equations (778) can reduce 964 to:
% 45.63/15.01  																																															| (311) $false
% 45.63/15.01  																																															|
% 45.63/15.01  																																															|-The branch is then unsatisfiable
% 45.63/15.01  																																														|-Branch two:
% 45.63/15.01  																																														| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.01  																																														| (1837) all_0_96_96 = e0
% 45.63/15.01  																																														|
% 45.63/15.01  																																															| Equations (1837) can reduce 1479 to:
% 45.63/15.01  																																															| (859)  ~ (e1 = e0)
% 45.63/15.01  																																															|
% 45.63/15.01  																																															| Simplifying 859 yields:
% 45.63/15.01  																																															| (264)  ~ (e1 = e0)
% 45.63/15.01  																																															|
% 45.63/15.01  																																															+-Applying beta-rule and splitting (462), into two cases.
% 45.63/15.01  																																															|-Branch one:
% 45.63/15.01  																																															| (801) all_0_91_91 = e1
% 45.63/15.01  																																															|
% 45.63/15.01  																																																| Equations (801) can reduce 959 to:
% 45.63/15.01  																																																| (311) $false
% 45.63/15.01  																																																|
% 45.63/15.01  																																																|-The branch is then unsatisfiable
% 45.63/15.01  																																															|-Branch two:
% 45.63/15.01  																																															| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.01  																																															| (960) all_0_96_96 = e1
% 45.63/15.01  																																															|
% 45.63/15.01  																																																| Combining equations (1837,960) yields a new equation:
% 45.63/15.01  																																																| (865) e1 = e0
% 45.63/15.01  																																																|
% 45.63/15.01  																																																| Equations (865) can reduce 264 to:
% 45.63/15.01  																																																| (311) $false
% 45.63/15.01  																																																|
% 45.63/15.01  																																																|-The branch is then unsatisfiable
% 45.63/15.01  																																										|-Branch two:
% 45.63/15.01  																																										| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.01  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.63/15.01  																																										|
% 45.63/15.01  																																											+-Applying beta-rule and splitting (102), into two cases.
% 45.63/15.01  																																											|-Branch one:
% 45.63/15.01  																																											| (858) all_0_95_95 = e0
% 45.63/15.01  																																											|
% 45.63/15.01  																																												| Equations (858) can reduce 893 to:
% 45.63/15.01  																																												| (311) $false
% 45.63/15.01  																																												|
% 45.63/15.01  																																												|-The branch is then unsatisfiable
% 45.63/15.01  																																											|-Branch two:
% 45.63/15.01  																																											| (893)  ~ (all_0_95_95 = e0)
% 45.63/15.01  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.63/15.01  																																											|
% 45.63/15.01  																																												+-Applying beta-rule and splitting (853), into two cases.
% 45.63/15.01  																																												|-Branch one:
% 45.63/15.01  																																												| (744) all_0_95_95 = e3
% 45.63/15.01  																																												|
% 45.63/15.01  																																													| Equations (744) can reduce 765 to:
% 45.63/15.01  																																													| (311) $false
% 45.63/15.01  																																													|
% 45.63/15.01  																																													|-The branch is then unsatisfiable
% 45.63/15.01  																																												|-Branch two:
% 45.63/15.01  																																												| (765)  ~ (all_0_95_95 = e3)
% 45.63/15.01  																																												| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 45.63/15.01  																																												|
% 45.63/15.01  																																													+-Applying beta-rule and splitting (857), into two cases.
% 45.63/15.01  																																													|-Branch one:
% 45.63/15.01  																																													| (858) all_0_95_95 = e0
% 45.63/15.01  																																													|
% 45.63/15.01  																																														| Equations (858) can reduce 893 to:
% 45.63/15.01  																																														| (311) $false
% 45.63/15.01  																																														|
% 45.63/15.01  																																														|-The branch is then unsatisfiable
% 45.63/15.01  																																													|-Branch two:
% 45.63/15.01  																																													| (893)  ~ (all_0_95_95 = e0)
% 45.63/15.01  																																													| (894) all_0_95_95 = e4
% 45.63/15.01  																																													|
% 45.63/15.01  																																														| Equations (894) can reduce 315 to:
% 45.63/15.01  																																														| (311) $false
% 45.63/15.01  																																														|
% 45.63/15.01  																																														|-The branch is then unsatisfiable
% 45.63/15.01  																															|-Branch two:
% 45.63/15.01  																															| (496)  ~ (all_0_93_93 = e4)
% 45.63/15.01  																															| (2650) all_0_98_98 = e4
% 45.63/15.01  																															|
% 45.63/15.01  																																| Equations (2650) can reduce 321 to:
% 45.63/15.01  																																| (311) $false
% 45.63/15.01  																																|
% 45.63/15.01  																																|-The branch is then unsatisfiable
% 45.63/15.01  																												|-Branch two:
% 45.63/15.01  																												| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.01  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.63/15.01  																												|
% 45.63/15.01  																													+-Applying beta-rule and splitting (472), into two cases.
% 45.63/15.01  																													|-Branch one:
% 45.63/15.01  																													| (438) all_0_84_84 = e4
% 45.63/15.01  																													|
% 45.63/15.01  																														| Equations (438) can reduce 417 to:
% 45.63/15.01  																														| (311) $false
% 45.63/15.01  																														|
% 45.63/15.01  																														|-The branch is then unsatisfiable
% 45.63/15.01  																													|-Branch two:
% 45.63/15.01  																													| (417)  ~ (all_0_84_84 = e4)
% 45.63/15.01  																													| (493) all_0_85_85 = e4
% 45.63/15.01  																													|
% 45.63/15.01  																														| Equations (493) can reduce 209 to:
% 45.63/15.01  																														| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.01  																														|
% 45.63/15.01  																														| Equations (493) can reduce 515 to:
% 45.63/15.01  																														| (79)  ~ (e4 = e2)
% 45.63/15.01  																														|
% 45.63/15.01  																														+-Applying beta-rule and splitting (249), into two cases.
% 45.63/15.01  																														|-Branch one:
% 45.63/15.01  																														| (910) all_0_82_82 = e0
% 45.63/15.01  																														|
% 45.63/15.01  																															| Equations (910) can reduce 914 to:
% 45.63/15.01  																															| (311) $false
% 45.63/15.01  																															|
% 45.63/15.01  																															|-The branch is then unsatisfiable
% 45.63/15.01  																														|-Branch two:
% 45.63/15.01  																														| (914)  ~ (all_0_82_82 = e0)
% 45.63/15.01  																														| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.63/15.01  																														|
% 45.63/15.01  																															+-Applying beta-rule and splitting (1309), into two cases.
% 45.63/15.01  																															|-Branch one:
% 45.63/15.01  																															| (798) all_0_83_83 = e0
% 45.63/15.01  																															|
% 45.63/15.01  																																| Combining equations (453,798) yields a new equation:
% 45.63/15.01  																																| (923) e2 = e0
% 45.63/15.01  																																|
% 45.63/15.01  																																| Simplifying 923 yields:
% 45.63/15.01  																																| (379) e2 = e0
% 45.63/15.01  																																|
% 45.63/15.01  																																| Equations (379) can reduce 76 to:
% 45.63/15.01  																																| (311) $false
% 45.63/15.01  																																|
% 45.63/15.01  																																|-The branch is then unsatisfiable
% 45.63/15.02  																															|-Branch two:
% 45.63/15.02  																															| (1314)  ~ (all_0_83_83 = e0)
% 45.63/15.02  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.63/15.02  																															|
% 45.63/15.02  																																+-Applying beta-rule and splitting (1315), into two cases.
% 45.63/15.02  																																|-Branch one:
% 45.63/15.02  																																| (916) all_0_84_84 = e0
% 45.63/15.02  																																|
% 45.63/15.02  																																	| Equations (916) can reduce 87 to:
% 45.63/15.02  																																	| (2299)  ~ (all_0_92_92 = e0)
% 45.63/15.02  																																	|
% 45.63/15.02  																																	| Simplifying 2299 yields:
% 45.63/15.02  																																	| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.02  																																	|
% 45.63/15.02  																																	| Equations (916) can reduce 259 to:
% 45.63/15.02  																																	| (859)  ~ (e1 = e0)
% 45.63/15.02  																																	|
% 45.63/15.02  																																	| Simplifying 859 yields:
% 45.63/15.02  																																	| (264)  ~ (e1 = e0)
% 45.63/15.02  																																	|
% 45.63/15.02  																																	| From (916) and (122) follows:
% 45.63/15.02  																																	| (1321) op(e1, e0) = all_0_62_62
% 45.63/15.02  																																	|
% 45.63/15.02  																																	+-Applying beta-rule and splitting (46), into two cases.
% 45.63/15.02  																																	|-Branch one:
% 45.63/15.02  																																	| (308) all_0_89_89 = e4
% 45.63/15.02  																																	|
% 45.63/15.02  																																		| Combining equations (308,292) yields a new equation:
% 45.63/15.02  																																		| (309) e4 = e2
% 45.63/15.02  																																		|
% 45.63/15.02  																																		| Simplifying 309 yields:
% 45.63/15.02  																																		| (310) e4 = e2
% 45.63/15.02  																																		|
% 45.63/15.02  																																		| Equations (310) can reduce 79 to:
% 45.63/15.02  																																		| (311) $false
% 45.63/15.02  																																		|
% 45.63/15.02  																																		|-The branch is then unsatisfiable
% 45.63/15.02  																																	|-Branch two:
% 45.63/15.02  																																	| (312)  ~ (all_0_89_89 = e4)
% 45.63/15.02  																																	| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.63/15.02  																																	|
% 45.63/15.02  																																		| Equations (292) can reduce 312 to:
% 45.63/15.02  																																		| (528)  ~ (e4 = e2)
% 45.63/15.02  																																		|
% 45.63/15.02  																																		| Simplifying 528 yields:
% 45.63/15.02  																																		| (79)  ~ (e4 = e2)
% 45.63/15.02  																																		|
% 45.63/15.02  																																		+-Applying beta-rule and splitting (4), into two cases.
% 45.63/15.02  																																		|-Branch one:
% 45.63/15.02  																																		| (463) all_0_78_78 = e4
% 45.63/15.02  																																		|
% 45.63/15.02  																																			| Combining equations (400,463) yields a new equation:
% 45.63/15.02  																																			| (310) e4 = e2
% 45.63/15.02  																																			|
% 45.63/15.02  																																			| Equations (310) can reduce 79 to:
% 45.63/15.02  																																			| (311) $false
% 45.63/15.02  																																			|
% 45.63/15.02  																																			|-The branch is then unsatisfiable
% 45.63/15.02  																																		|-Branch two:
% 45.63/15.02  																																		| (640)  ~ (all_0_78_78 = e4)
% 45.63/15.02  																																		| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.63/15.02  																																		|
% 45.63/15.02  																																			+-Applying beta-rule and splitting (171), into two cases.
% 45.63/15.02  																																			|-Branch one:
% 45.63/15.02  																																			| (789) all_0_82_82 = e3
% 45.63/15.02  																																			|
% 45.63/15.02  																																				| Equations (789) can reduce 200 to:
% 45.63/15.02  																																				| (1070)  ~ (all_0_95_95 = e3)
% 45.63/15.02  																																				|
% 45.63/15.02  																																				| Simplifying 1070 yields:
% 45.63/15.02  																																				| (765)  ~ (all_0_95_95 = e3)
% 45.63/15.02  																																				|
% 45.63/15.02  																																				| Equations (789) can reduce 465 to:
% 45.63/15.02  																																				| (783)  ~ (e4 = e3)
% 45.63/15.02  																																				|
% 45.63/15.02  																																				| Simplifying 783 yields:
% 45.63/15.02  																																				| (177)  ~ (e4 = e3)
% 45.63/15.02  																																				|
% 45.63/15.02  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 45.63/15.02  																																				|-Branch one:
% 45.63/15.02  																																				| (469) all_0_82_82 = e4
% 45.63/15.02  																																				|
% 45.63/15.02  																																					| Combining equations (789,469) yields a new equation:
% 45.63/15.02  																																					| (434) e4 = e3
% 45.63/15.02  																																					|
% 45.63/15.02  																																					| Equations (434) can reduce 177 to:
% 45.63/15.02  																																					| (311) $false
% 45.63/15.02  																																					|
% 45.63/15.02  																																					|-The branch is then unsatisfiable
% 45.63/15.02  																																				|-Branch two:
% 45.63/15.02  																																				| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.02  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.63/15.02  																																				|
% 45.63/15.02  																																					+-Applying beta-rule and splitting (119), into two cases.
% 45.63/15.02  																																					|-Branch one:
% 45.63/15.02  																																					| (1343) all_0_92_92 = e2
% 45.63/15.02  																																					|
% 45.63/15.02  																																						| Equations (1343) can reduce 298 to:
% 45.63/15.02  																																						| (311) $false
% 45.63/15.02  																																						|
% 45.63/15.02  																																						|-The branch is then unsatisfiable
% 45.63/15.02  																																					|-Branch two:
% 45.63/15.02  																																					| (298)  ~ (all_0_92_92 = e2)
% 45.63/15.02  																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.63/15.02  																																					|
% 45.63/15.02  																																						+-Applying beta-rule and splitting (270), into two cases.
% 45.63/15.02  																																						|-Branch one:
% 45.63/15.02  																																						| (744) all_0_95_95 = e3
% 45.63/15.02  																																						|
% 45.63/15.02  																																							| Equations (744) can reduce 765 to:
% 45.63/15.02  																																							| (311) $false
% 45.63/15.02  																																							|
% 45.63/15.02  																																							|-The branch is then unsatisfiable
% 45.63/15.02  																																						|-Branch two:
% 45.63/15.02  																																						| (765)  ~ (all_0_95_95 = e3)
% 45.63/15.02  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.63/15.02  																																						|
% 45.63/15.02  																																							+-Applying beta-rule and splitting (3735), into two cases.
% 45.63/15.02  																																							|-Branch one:
% 45.63/15.02  																																							| (836) all_0_92_92 = e1
% 45.63/15.02  																																							|
% 45.63/15.02  																																								| Equations (836) can reduce 840 to:
% 45.63/15.02  																																								| (311) $false
% 45.63/15.02  																																								|
% 45.63/15.02  																																								|-The branch is then unsatisfiable
% 45.63/15.02  																																							|-Branch two:
% 45.63/15.02  																																							| (840)  ~ (all_0_92_92 = e1)
% 45.63/15.02  																																							| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.63/15.02  																																							|
% 45.63/15.02  																																								+-Applying beta-rule and splitting (3629), into two cases.
% 45.63/15.02  																																								|-Branch one:
% 45.63/15.02  																																								| (583) all_0_90_90 = e4
% 45.63/15.02  																																								|
% 45.63/15.02  																																									| Equations (583) can reduce 72 to:
% 45.63/15.02  																																									| (1906)  ~ (all_0_92_92 = e4)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									| Simplifying 1906 yields:
% 45.63/15.02  																																									| (1619)  ~ (all_0_92_92 = e4)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									| Equations (583) can reduce 229 to:
% 45.63/15.02  																																									| (314)  ~ (all_0_95_95 = e4)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									| Simplifying 314 yields:
% 45.63/15.02  																																									| (315)  ~ (all_0_95_95 = e4)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									| Equations (583) can reduce 294 to:
% 45.63/15.02  																																									| (79)  ~ (e4 = e2)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									| Equations (583) can reduce 762 to:
% 45.63/15.02  																																									| (23)  ~ (e4 = e0)
% 45.63/15.02  																																									|
% 45.63/15.02  																																									+-Applying beta-rule and splitting (99), into two cases.
% 45.63/15.02  																																									|-Branch one:
% 45.63/15.02  																																									| (767) all_0_95_95 = e2
% 45.63/15.02  																																									|
% 45.63/15.02  																																										| Equations (767) can reduce 355 to:
% 45.63/15.02  																																										| (311) $false
% 45.63/15.02  																																										|
% 45.63/15.02  																																										|-The branch is then unsatisfiable
% 45.63/15.02  																																									|-Branch two:
% 45.63/15.02  																																									| (355)  ~ (all_0_95_95 = e2)
% 45.63/15.02  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.63/15.02  																																									|
% 45.63/15.02  																																										+-Applying beta-rule and splitting (770), into two cases.
% 45.63/15.02  																																										|-Branch one:
% 45.63/15.02  																																										| (785) all_0_95_95 = e1
% 45.63/15.02  																																										|
% 45.63/15.02  																																											| Equations (785) can reduce 107 to:
% 45.63/15.02  																																											| (1803)  ~ (all_0_98_98 = e1)
% 45.63/15.02  																																											|
% 45.63/15.02  																																											| Simplifying 1803 yields:
% 45.63/15.02  																																											| (1804)  ~ (all_0_98_98 = e1)
% 45.63/15.02  																																											|
% 45.63/15.02  																																											| Equations (785) can reduce 315 to:
% 45.63/15.02  																																											| (681)  ~ (e4 = e1)
% 45.63/15.02  																																											|
% 45.63/15.02  																																											| Simplifying 681 yields:
% 45.63/15.02  																																											| (256)  ~ (e4 = e1)
% 45.63/15.02  																																											|
% 45.63/15.02  																																											| Equations (785) can reduce 893 to:
% 45.63/15.02  																																											| (264)  ~ (e1 = e0)
% 45.63/15.02  																																											|
% 45.63/15.02  																																											+-Applying beta-rule and splitting (3800), into two cases.
% 45.63/15.02  																																											|-Branch one:
% 45.63/15.02  																																											| (882) all_0_92_92 = e3
% 45.63/15.02  																																											|
% 45.63/15.02  																																												| Combining equations (882,5478) yields a new equation:
% 45.63/15.02  																																												| (3524) all_0_64_64 = e3
% 45.63/15.02  																																												|
% 45.63/15.02  																																												| Equations (882) can reduce 298 to:
% 45.63/15.02  																																												| (169)  ~ (e3 = e2)
% 45.63/15.02  																																												|
% 45.63/15.02  																																												+-Applying beta-rule and splitting (65), into two cases.
% 45.63/15.02  																																												|-Branch one:
% 45.63/15.02  																																												| (522) all_0_93_93 = e2
% 45.63/15.02  																																												|
% 45.63/15.02  																																													| Equations (522) can reduce 300 to:
% 45.63/15.02  																																													| (311) $false
% 45.63/15.02  																																													|
% 45.63/15.02  																																													|-The branch is then unsatisfiable
% 45.63/15.02  																																												|-Branch two:
% 45.63/15.02  																																												| (300)  ~ (all_0_93_93 = e2)
% 45.63/15.02  																																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 45.63/15.02  																																												|
% 45.63/15.02  																																													+-Applying beta-rule and splitting (766), into two cases.
% 45.63/15.02  																																													|-Branch one:
% 45.63/15.02  																																													| (778) all_0_96_96 = e3
% 45.63/15.02  																																													|
% 45.63/15.02  																																														| Equations (778) can reduce 964 to:
% 45.63/15.02  																																														| (311) $false
% 45.63/15.02  																																														|
% 45.63/15.02  																																														|-The branch is then unsatisfiable
% 45.63/15.02  																																													|-Branch two:
% 45.63/15.02  																																													| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.02  																																													| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.63/15.02  																																													|
% 45.63/15.02  																																														+-Applying beta-rule and splitting (565), into two cases.
% 45.63/15.02  																																														|-Branch one:
% 45.63/15.02  																																														| (566) all_0_93_93 = e1
% 45.63/15.02  																																														|
% 45.63/15.02  																																															| Equations (566) can reduce 481 to:
% 45.63/15.02  																																															| (311) $false
% 45.63/15.02  																																															|
% 45.63/15.02  																																															|-The branch is then unsatisfiable
% 45.63/15.02  																																														|-Branch two:
% 45.63/15.02  																																														| (481)  ~ (all_0_93_93 = e1)
% 45.63/15.02  																																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 45.63/15.02  																																														|
% 45.63/15.02  																																															+-Applying beta-rule and splitting (965), into two cases.
% 45.63/15.02  																																															|-Branch one:
% 45.63/15.02  																																															| (556) all_0_97_97 = e3
% 45.63/15.02  																																															|
% 45.63/15.02  																																																| Combining equations (556,538) yields a new equation:
% 45.63/15.02  																																																| (547) e3 = e2
% 45.63/15.02  																																																|
% 45.63/15.02  																																																| Simplifying 547 yields:
% 45.63/15.02  																																																| (548) e3 = e2
% 45.63/15.02  																																																|
% 45.63/15.02  																																																| Equations (548) can reduce 169 to:
% 45.63/15.02  																																																| (311) $false
% 45.63/15.02  																																																|
% 45.63/15.02  																																																|-The branch is then unsatisfiable
% 45.63/15.02  																																															|-Branch two:
% 45.63/15.02  																																															| (428)  ~ (all_0_97_97 = e3)
% 45.63/15.02  																																															| (969) all_0_98_98 = e3
% 45.63/15.02  																																															|
% 45.63/15.02  																																																| Equations (969) can reduce 13 to:
% 45.63/15.02  																																																| (602)  ~ (all_0_93_93 = e3)
% 45.63/15.02  																																																|
% 45.63/15.02  																																																| Equations (969) can reduce 43 to:
% 45.63/15.02  																																																| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.02  																																																|
% 45.63/15.02  																																																| Equations (969) can reduce 1349 to:
% 45.63/15.02  																																																| (169)  ~ (e3 = e2)
% 45.63/15.02  																																																|
% 45.63/15.02  																																																| Equations (969) can reduce 1804 to:
% 45.63/15.02  																																																| (20)  ~ (e3 = e1)
% 45.63/15.02  																																																|
% 45.63/15.02  																																																+-Applying beta-rule and splitting (569), into two cases.
% 45.63/15.02  																																																|-Branch one:
% 45.63/15.02  																																																| (570) all_0_93_93 = e3
% 45.63/15.02  																																																|
% 45.63/15.02  																																																	| Equations (570) can reduce 602 to:
% 45.63/15.02  																																																	| (311) $false
% 45.63/15.02  																																																	|
% 45.63/15.02  																																																	|-The branch is then unsatisfiable
% 45.63/15.02  																																																|-Branch two:
% 45.63/15.02  																																																| (602)  ~ (all_0_93_93 = e3)
% 45.63/15.02  																																																| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 45.63/15.02  																																																|
% 45.63/15.02  																																																	+-Applying beta-rule and splitting (132), into two cases.
% 45.63/15.02  																																																	|-Branch one:
% 45.63/15.02  																																																	| (750) all_0_90_90 = e1
% 45.63/15.02  																																																	|
% 45.63/15.02  																																																		| Combining equations (583,750) yields a new equation:
% 45.63/15.02  																																																		| (813) e4 = e1
% 45.63/15.02  																																																		|
% 45.63/15.02  																																																		| Simplifying 813 yields:
% 45.63/15.02  																																																		| (814) e4 = e1
% 45.63/15.02  																																																		|
% 45.63/15.02  																																																		| Equations (814) can reduce 256 to:
% 45.63/15.02  																																																		| (311) $false
% 45.63/15.02  																																																		|
% 45.63/15.02  																																																		|-The branch is then unsatisfiable
% 45.63/15.02  																																																	|-Branch two:
% 45.63/15.02  																																																	| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.02  																																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.02  																																																	|
% 45.63/15.02  																																																		+-Applying beta-rule and splitting (1526), into two cases.
% 45.63/15.02  																																																		|-Branch one:
% 45.63/15.02  																																																		| (801) all_0_91_91 = e1
% 45.63/15.02  																																																		|
% 45.63/15.02  																																																			| Combining equations (801,4077) yields a new equation:
% 45.63/15.02  																																																			| (27067) all_0_67_67 = e1
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																			| Equations (801) can reduce 44 to:
% 45.63/15.02  																																																			| (480)  ~ (all_0_93_93 = e1)
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																			| Simplifying 480 yields:
% 45.63/15.02  																																																			| (481)  ~ (all_0_93_93 = e1)
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																			| Equations (801) can reduce 64 to:
% 45.63/15.02  																																																			| (1671)  ~ (all_0_96_96 = e1)
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																			| Simplifying 1671 yields:
% 45.63/15.02  																																																			| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																			+-Applying beta-rule and splitting (84), into two cases.
% 45.63/15.02  																																																			|-Branch one:
% 45.63/15.02  																																																			| (1704) all_0_96_96 = e2
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																				| Equations (1704) can reduce 1638 to:
% 45.63/15.02  																																																				| (311) $false
% 45.63/15.02  																																																				|
% 45.63/15.02  																																																				|-The branch is then unsatisfiable
% 45.63/15.02  																																																			|-Branch two:
% 45.63/15.02  																																																			| (1638)  ~ (all_0_96_96 = e2)
% 45.63/15.02  																																																			| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.63/15.02  																																																			|
% 45.63/15.02  																																																				+-Applying beta-rule and splitting (102), into two cases.
% 45.63/15.02  																																																				|-Branch one:
% 45.63/15.02  																																																				| (858) all_0_95_95 = e0
% 45.63/15.02  																																																				|
% 45.63/15.02  																																																					| Combining equations (858,785) yields a new equation:
% 45.63/15.02  																																																					| (865) e1 = e0
% 45.63/15.02  																																																					|
% 45.63/15.02  																																																					| Equations (865) can reduce 264 to:
% 45.63/15.02  																																																					| (311) $false
% 45.63/15.02  																																																					|
% 45.63/15.02  																																																					|-The branch is then unsatisfiable
% 45.63/15.02  																																																				|-Branch two:
% 45.63/15.02  																																																				| (893)  ~ (all_0_95_95 = e0)
% 45.63/15.02  																																																				| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.63/15.02  																																																				|
% 45.63/15.02  																																																					| Equations (785) can reduce 893 to:
% 45.63/15.02  																																																					| (264)  ~ (e1 = e0)
% 45.63/15.02  																																																					|
% 45.63/15.02  																																																					+-Applying beta-rule and splitting (289), into two cases.
% 45.63/15.02  																																																					|-Branch one:
% 45.63/15.02  																																																					| (954) all_0_85_85 = e0
% 45.63/15.02  																																																					|
% 45.63/15.02  																																																						| Combining equations (493,954) yields a new equation:
% 45.63/15.02  																																																						| (911) e4 = e0
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																						| Simplifying 911 yields:
% 45.63/15.02  																																																						| (912) e4 = e0
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																						| Equations (912) can reduce 23 to:
% 45.63/15.02  																																																						| (311) $false
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																						|-The branch is then unsatisfiable
% 45.63/15.02  																																																					|-Branch two:
% 45.63/15.02  																																																					| (800)  ~ (all_0_85_85 = e0)
% 45.63/15.02  																																																					| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.63/15.02  																																																					|
% 45.63/15.02  																																																						| Equations (493) can reduce 800 to:
% 45.63/15.02  																																																						| (23)  ~ (e4 = e0)
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																						+-Applying beta-rule and splitting (291), into two cases.
% 45.63/15.02  																																																						|-Branch one:
% 45.63/15.02  																																																						| (758) all_0_90_90 = e0
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																							| Combining equations (758,583) yields a new equation:
% 45.63/15.02  																																																							| (912) e4 = e0
% 45.63/15.02  																																																							|
% 45.63/15.02  																																																							| Equations (912) can reduce 23 to:
% 45.63/15.02  																																																							| (311) $false
% 45.63/15.02  																																																							|
% 45.63/15.02  																																																							|-The branch is then unsatisfiable
% 45.63/15.02  																																																						|-Branch two:
% 45.63/15.02  																																																						| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.02  																																																						| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.02  																																																						|
% 45.63/15.02  																																																							+-Applying beta-rule and splitting (1707), into two cases.
% 45.63/15.02  																																																							|-Branch one:
% 45.63/15.02  																																																							| (960) all_0_96_96 = e1
% 45.63/15.02  																																																							|
% 45.63/15.02  																																																								| Equations (960) can reduce 1479 to:
% 45.63/15.02  																																																								| (311) $false
% 45.63/15.02  																																																								|
% 45.63/15.02  																																																								|-The branch is then unsatisfiable
% 45.63/15.02  																																																							|-Branch two:
% 45.63/15.02  																																																							| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.02  																																																							| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.63/15.02  																																																							|
% 45.63/15.02  																																																								+-Applying beta-rule and splitting (1455), into two cases.
% 45.63/15.02  																																																								|-Branch one:
% 45.63/15.02  																																																								| (1456) all_0_91_91 = e0
% 45.63/15.02  																																																								|
% 45.63/15.02  																																																									| Combining equations (801,1456) yields a new equation:
% 45.63/15.02  																																																									| (1107) e1 = e0
% 45.63/15.02  																																																									|
% 45.63/15.02  																																																									| Simplifying 1107 yields:
% 45.63/15.02  																																																									| (865) e1 = e0
% 45.63/15.02  																																																									|
% 45.63/15.02  																																																									| Equations (865) can reduce 264 to:
% 45.63/15.02  																																																									| (311) $false
% 45.63/15.02  																																																									|
% 45.63/15.02  																																																									|-The branch is then unsatisfiable
% 45.63/15.02  																																																								|-Branch two:
% 45.63/15.02  																																																								| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.02  																																																								| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.02  																																																								|
% 45.63/15.02  																																																									+-Applying beta-rule and splitting (2016), into two cases.
% 45.63/15.02  																																																									|-Branch one:
% 45.63/15.02  																																																									| (778) all_0_96_96 = e3
% 45.63/15.02  																																																									|
% 45.63/15.02  																																																										| Equations (778) can reduce 964 to:
% 45.63/15.02  																																																										| (311) $false
% 45.63/15.02  																																																										|
% 45.63/15.02  																																																										|-The branch is then unsatisfiable
% 45.63/15.02  																																																									|-Branch two:
% 45.63/15.02  																																																									| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.02  																																																									| (1837) all_0_96_96 = e0
% 45.63/15.02  																																																									|
% 45.63/15.02  																																																										| Equations (1837) can reduce 964 to:
% 45.63/15.02  																																																										| (906)  ~ (e3 = e0)
% 45.63/15.02  																																																										|
% 45.63/15.02  																																																										| Simplifying 906 yields:
% 45.63/15.02  																																																										| (50)  ~ (e3 = e0)
% 45.63/15.02  																																																										|
% 45.63/15.02  																																																										+-Applying beta-rule and splitting (1488), into two cases.
% 45.63/15.02  																																																										|-Branch one:
% 45.63/15.02  																																																										| (942) all_0_92_92 = e0
% 45.63/15.02  																																																										|
% 45.63/15.02  																																																											| Combining equations (942,882) yields a new equation:
% 45.63/15.02  																																																											| (600) e3 = e0
% 45.63/15.02  																																																											|
% 45.63/15.02  																																																											| Equations (600) can reduce 50 to:
% 45.63/15.02  																																																											| (311) $false
% 45.63/15.02  																																																											|
% 45.63/15.02  																																																											|-The branch is then unsatisfiable
% 45.63/15.02  																																																										|-Branch two:
% 45.63/15.02  																																																										| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.02  																																																										| (604) all_0_93_93 = e0
% 45.63/15.02  																																																										|
% 45.63/15.02  																																																											| Equations (604) can reduce 602 to:
% 45.63/15.03  																																																											| (906)  ~ (e3 = e0)
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											| Simplifying 906 yields:
% 45.63/15.03  																																																											| (50)  ~ (e3 = e0)
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											| Equations (604) can reduce 481 to:
% 45.63/15.03  																																																											| (859)  ~ (e1 = e0)
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											| Simplifying 859 yields:
% 45.63/15.03  																																																											| (264)  ~ (e1 = e0)
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											| From (604) and (21) follows:
% 45.63/15.03  																																																											| (19330) op(e1, e0) = all_0_76_76
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											| From (604) and (231) follows:
% 45.63/15.03  																																																											| (4745) op(e1, e0) = e0
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																											+-Applying beta-rule and splitting (276), into two cases.
% 45.63/15.03  																																																											|-Branch one:
% 45.63/15.03  																																																											| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																												+-Applying beta-rule and splitting (577), into two cases.
% 45.63/15.03  																																																												|-Branch one:
% 45.63/15.03  																																																												| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.63/15.03  																																																												|
% 45.63/15.03  																																																													+-Applying beta-rule and splitting (578), into two cases.
% 45.63/15.03  																																																													|-Branch one:
% 45.63/15.03  																																																													| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.63/15.03  																																																													|
% 45.63/15.03  																																																														| Applying alpha-rule on (579) yields:
% 45.63/15.03  																																																														| (580) all_0_60_60 = e4
% 45.63/15.03  																																																														| (581)  ~ (all_0_61_61 = e1)
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Combining equations (580,4076) yields a new equation:
% 45.63/15.03  																																																														| (309) e4 = e2
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Simplifying 309 yields:
% 45.63/15.03  																																																														| (310) e4 = e2
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Equations (310) can reduce 79 to:
% 45.63/15.03  																																																														| (311) $false
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														|-The branch is then unsatisfiable
% 45.63/15.03  																																																													|-Branch two:
% 45.63/15.03  																																																													| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.63/15.03  																																																													|
% 45.63/15.03  																																																														| Applying alpha-rule on (585) yields:
% 45.63/15.03  																																																														| (586) all_0_62_62 = e3
% 45.63/15.03  																																																														| (587)  ~ (all_0_63_63 = e1)
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| From (586) and (1321) follows:
% 45.63/15.03  																																																														| (573) op(e1, e0) = e3
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Instantiating formula (262) with e1, e0, e3, all_0_76_76 and discharging atoms op(e1, e0) = all_0_76_76, op(e1, e0) = e3, yields:
% 45.63/15.03  																																																														| (12777) all_0_76_76 = e3
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Instantiating formula (262) with e1, e0, e0, all_0_76_76 and discharging atoms op(e1, e0) = all_0_76_76, op(e1, e0) = e0, yields:
% 45.63/15.03  																																																														| (8960) all_0_76_76 = e0
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Combining equations (12777,8960) yields a new equation:
% 45.63/15.03  																																																														| (599) e3 = e0
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Simplifying 599 yields:
% 45.63/15.03  																																																														| (600) e3 = e0
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														| Equations (600) can reduce 50 to:
% 45.63/15.03  																																																														| (311) $false
% 45.63/15.03  																																																														|
% 45.63/15.03  																																																														|-The branch is then unsatisfiable
% 45.63/15.03  																																																												|-Branch two:
% 45.63/15.03  																																																												| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.63/15.03  																																																												|
% 45.63/15.03  																																																													| Applying alpha-rule on (590) yields:
% 45.63/15.03  																																																													| (591) all_0_64_64 = e2
% 45.63/15.03  																																																													| (592)  ~ (all_0_65_65 = e1)
% 45.63/15.03  																																																													|
% 45.63/15.03  																																																													| Combining equations (591,3524) yields a new equation:
% 45.63/15.03  																																																													| (548) e3 = e2
% 45.63/15.03  																																																													|
% 45.63/15.03  																																																													| Equations (548) can reduce 169 to:
% 45.63/15.03  																																																													| (311) $false
% 45.63/15.03  																																																													|
% 45.63/15.03  																																																													|-The branch is then unsatisfiable
% 45.63/15.03  																																																											|-Branch two:
% 45.63/15.03  																																																											| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.63/15.03  																																																											|
% 45.63/15.03  																																																												| Applying alpha-rule on (596) yields:
% 45.63/15.03  																																																												| (597) all_0_67_67 = e0
% 45.63/15.03  																																																												| (598)  ~ (all_0_68_68 = e1)
% 45.63/15.03  																																																												|
% 45.63/15.03  																																																												| Combining equations (597,27067) yields a new equation:
% 45.63/15.03  																																																												| (865) e1 = e0
% 45.63/15.03  																																																												|
% 45.63/15.03  																																																												| Equations (865) can reduce 264 to:
% 45.63/15.03  																																																												| (311) $false
% 45.63/15.03  																																																												|
% 45.63/15.03  																																																												|-The branch is then unsatisfiable
% 45.63/15.03  																																																		|-Branch two:
% 45.63/15.03  																																																		| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.03  																																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.03  																																																		|
% 45.63/15.03  																																																			+-Applying beta-rule and splitting (1556), into two cases.
% 45.63/15.03  																																																			|-Branch one:
% 45.63/15.03  																																																			| (836) all_0_92_92 = e1
% 45.63/15.03  																																																			|
% 45.63/15.03  																																																				| Combining equations (836,882) yields a new equation:
% 45.63/15.03  																																																				| (772) e3 = e1
% 45.63/15.03  																																																				|
% 45.63/15.03  																																																				| Equations (772) can reduce 20 to:
% 45.63/15.03  																																																				| (311) $false
% 45.63/15.03  																																																				|
% 45.63/15.03  																																																				|-The branch is then unsatisfiable
% 45.63/15.03  																																																			|-Branch two:
% 45.63/15.03  																																																			| (840)  ~ (all_0_92_92 = e1)
% 45.63/15.03  																																																			| (566) all_0_93_93 = e1
% 45.63/15.03  																																																			|
% 45.63/15.03  																																																				| Equations (566) can reduce 481 to:
% 45.63/15.03  																																																				| (311) $false
% 45.63/15.03  																																																				|
% 45.63/15.03  																																																				|-The branch is then unsatisfiable
% 45.63/15.03  																																											|-Branch two:
% 45.63/15.03  																																											| (426)  ~ (all_0_92_92 = e3)
% 45.63/15.03  																																											| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.63/15.03  																																											|
% 45.63/15.03  																																												+-Applying beta-rule and splitting (16683), into two cases.
% 45.63/15.03  																																												|-Branch one:
% 45.63/15.03  																																												| (942) all_0_92_92 = e0
% 45.63/15.03  																																												|
% 45.63/15.03  																																													| Equations (942) can reduce 946 to:
% 45.63/15.03  																																													| (311) $false
% 45.63/15.03  																																													|
% 45.63/15.03  																																													|-The branch is then unsatisfiable
% 45.63/15.03  																																												|-Branch two:
% 45.63/15.03  																																												| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.03  																																												| (442) all_0_92_92 = e4
% 45.63/15.03  																																												|
% 45.63/15.03  																																													| Equations (442) can reduce 1619 to:
% 45.63/15.03  																																													| (311) $false
% 45.63/15.03  																																													|
% 45.63/15.03  																																													|-The branch is then unsatisfiable
% 45.63/15.03  																																										|-Branch two:
% 45.63/15.03  																																										| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.03  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.63/15.03  																																										|
% 45.63/15.03  																																											+-Applying beta-rule and splitting (176), into two cases.
% 45.63/15.03  																																											|-Branch one:
% 45.63/15.03  																																											| (785) all_0_95_95 = e1
% 45.63/15.03  																																											|
% 45.63/15.03  																																												| Equations (785) can reduce 680 to:
% 45.63/15.03  																																												| (311) $false
% 45.63/15.03  																																												|
% 45.63/15.03  																																												|-The branch is then unsatisfiable
% 45.63/15.03  																																											|-Branch two:
% 45.63/15.03  																																											| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.03  																																											| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.03  																																											|
% 45.63/15.03  																																												+-Applying beta-rule and splitting (1718), into two cases.
% 45.63/15.03  																																												|-Branch one:
% 45.63/15.03  																																												| (384) all_0_86_86 = e1
% 45.63/15.03  																																												|
% 45.63/15.03  																																													| Combining equations (384,378) yields a new equation:
% 45.63/15.03  																																													| (1107) e1 = e0
% 45.63/15.03  																																													|
% 45.63/15.03  																																													| Simplifying 1107 yields:
% 45.63/15.03  																																													| (865) e1 = e0
% 45.63/15.03  																																													|
% 45.63/15.03  																																													| Equations (865) can reduce 264 to:
% 45.63/15.03  																																													| (311) $false
% 45.63/15.03  																																													|
% 45.63/15.03  																																													|-The branch is then unsatisfiable
% 45.63/15.03  																																												|-Branch two:
% 45.63/15.03  																																												| (387)  ~ (all_0_86_86 = e1)
% 45.63/15.03  																																												| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.63/15.03  																																												|
% 45.63/15.03  																																													+-Applying beta-rule and splitting (788), into two cases.
% 45.63/15.03  																																													|-Branch one:
% 45.63/15.03  																																													| (960) all_0_96_96 = e1
% 45.63/15.03  																																													|
% 45.63/15.03  																																														| Equations (960) can reduce 279 to:
% 45.63/15.03  																																														| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.03  																																														|
% 45.63/15.03  																																														| Equations (960) can reduce 115 to:
% 45.63/15.03  																																														| (681)  ~ (e4 = e1)
% 45.63/15.03  																																														|
% 45.63/15.03  																																														| Simplifying 681 yields:
% 45.63/15.03  																																														| (256)  ~ (e4 = e1)
% 45.63/15.03  																																														|
% 45.63/15.03  																																														+-Applying beta-rule and splitting (2122), into two cases.
% 45.63/15.03  																																														|-Branch one:
% 45.63/15.03  																																														| (750) all_0_90_90 = e1
% 45.63/15.03  																																														|
% 45.63/15.03  																																															| Combining equations (583,750) yields a new equation:
% 45.63/15.03  																																															| (813) e4 = e1
% 45.63/15.03  																																															|
% 45.63/15.03  																																															| Simplifying 813 yields:
% 45.63/15.03  																																															| (814) e4 = e1
% 45.63/15.03  																																															|
% 45.63/15.03  																																															| Equations (814) can reduce 256 to:
% 45.63/15.03  																																															| (311) $false
% 45.63/15.03  																																															|
% 45.63/15.03  																																															|-The branch is then unsatisfiable
% 45.63/15.03  																																														|-Branch two:
% 45.63/15.03  																																														| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.03  																																														| (785) all_0_95_95 = e1
% 45.63/15.03  																																														|
% 45.63/15.03  																																															| Equations (785) can reduce 680 to:
% 45.63/15.03  																																															| (311) $false
% 45.63/15.03  																																															|
% 45.63/15.03  																																															|-The branch is then unsatisfiable
% 45.63/15.03  																																													|-Branch two:
% 45.63/15.03  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.03  																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.03  																																													|
% 45.63/15.03  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 45.63/15.03  																																														|-Branch one:
% 45.63/15.03  																																														| (542) all_0_97_97 = e1
% 45.63/15.03  																																														|
% 45.63/15.03  																																															| Combining equations (542,538) yields a new equation:
% 45.63/15.03  																																															| (385) e2 = e1
% 45.63/15.03  																																															|
% 45.63/15.03  																																															| Equations (385) can reduce 243 to:
% 45.63/15.03  																																															| (311) $false
% 45.63/15.03  																																															|
% 45.63/15.03  																																															|-The branch is then unsatisfiable
% 45.63/15.03  																																														|-Branch two:
% 45.63/15.03  																																														| (486)  ~ (all_0_97_97 = e1)
% 45.63/15.03  																																														| (1543) all_0_98_98 = e1
% 45.63/15.03  																																														|
% 45.63/15.03  																																															| Equations (1543) can reduce 1804 to:
% 45.63/15.03  																																															| (311) $false
% 45.63/15.03  																																															|
% 45.63/15.03  																																															|-The branch is then unsatisfiable
% 45.63/15.03  																																								|-Branch two:
% 45.63/15.03  																																								| (467)  ~ (all_0_90_90 = e4)
% 45.63/15.03  																																								| (894) all_0_95_95 = e4
% 45.63/15.03  																																								|
% 45.63/15.03  																																									| Equations (894) can reduce 315 to:
% 45.63/15.03  																																									| (311) $false
% 45.63/15.03  																																									|
% 45.63/15.03  																																									|-The branch is then unsatisfiable
% 45.63/15.03  																																			|-Branch two:
% 45.63/15.03  																																			| (793)  ~ (all_0_82_82 = e3)
% 45.63/15.03  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.63/15.03  																																			|
% 45.63/15.03  																																				+-Applying beta-rule and splitting (207), into two cases.
% 45.63/15.03  																																				|-Branch one:
% 45.63/15.03  																																				| (416) all_0_80_80 = e3
% 45.63/15.03  																																				|
% 45.63/15.03  																																					| Combining equations (433,416) yields a new equation:
% 45.63/15.03  																																					| (790) e4 = e3
% 45.63/15.03  																																					|
% 45.63/15.03  																																					| Simplifying 790 yields:
% 45.63/15.03  																																					| (434) e4 = e3
% 45.63/15.03  																																					|
% 45.63/15.03  																																					| Equations (434) can reduce 177 to:
% 45.63/15.03  																																					| (311) $false
% 45.63/15.03  																																					|
% 45.63/15.03  																																					|-The branch is then unsatisfiable
% 45.63/15.03  																																				|-Branch two:
% 45.63/15.03  																																				| (2347)  ~ (all_0_80_80 = e3)
% 45.63/15.03  																																				| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 45.63/15.03  																																				|
% 45.63/15.03  																																					| Equations (433) can reduce 2347 to:
% 45.63/15.03  																																					| (177)  ~ (e4 = e3)
% 45.63/15.03  																																					|
% 45.63/15.03  																																					+-Applying beta-rule and splitting (2481), into two cases.
% 45.63/15.03  																																					|-Branch one:
% 45.63/15.04  																																					| (1265) all_0_84_84 = e3
% 45.63/15.04  																																					|
% 45.63/15.04  																																						| Combining equations (916,1265) yields a new equation:
% 45.63/15.04  																																						| (600) e3 = e0
% 45.63/15.04  																																						|
% 45.63/15.04  																																						| Equations (600) can reduce 50 to:
% 45.63/15.04  																																						| (311) $false
% 45.63/15.04  																																						|
% 45.63/15.04  																																						|-The branch is then unsatisfiable
% 45.63/15.04  																																					|-Branch two:
% 45.63/15.04  																																					| (422)  ~ (all_0_84_84 = e3)
% 45.63/15.04  																																					| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 45.63/15.04  																																					|
% 45.63/15.04  																																						| Equations (916) can reduce 422 to:
% 45.63/15.04  																																						| (906)  ~ (e3 = e0)
% 45.63/15.04  																																						|
% 45.63/15.04  																																						| Simplifying 906 yields:
% 45.63/15.04  																																						| (50)  ~ (e3 = e0)
% 45.63/15.04  																																						|
% 45.63/15.04  																																						+-Applying beta-rule and splitting (1296), into two cases.
% 45.63/15.04  																																						|-Branch one:
% 45.63/15.04  																																						| (795) all_0_83_83 = e3
% 45.63/15.04  																																						|
% 45.63/15.04  																																							| Combining equations (453,795) yields a new equation:
% 45.63/15.04  																																							| (548) e3 = e2
% 45.63/15.04  																																							|
% 45.63/15.04  																																							| Equations (548) can reduce 169 to:
% 45.63/15.04  																																							| (311) $false
% 45.63/15.04  																																							|
% 45.63/15.04  																																							|-The branch is then unsatisfiable
% 45.63/15.04  																																						|-Branch two:
% 45.63/15.04  																																						| (779)  ~ (all_0_83_83 = e3)
% 45.63/15.04  																																						| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.63/15.04  																																						|
% 45.63/15.04  																																							+-Applying beta-rule and splitting (1594), into two cases.
% 45.63/15.04  																																							|-Branch one:
% 45.63/15.04  																																							| (1265) all_0_84_84 = e3
% 45.63/15.04  																																							|
% 45.63/15.04  																																								| Combining equations (916,1265) yields a new equation:
% 45.63/15.04  																																								| (600) e3 = e0
% 45.63/15.04  																																								|
% 45.63/15.04  																																								| Equations (600) can reduce 50 to:
% 45.63/15.04  																																								| (311) $false
% 45.63/15.04  																																								|
% 45.63/15.04  																																								|-The branch is then unsatisfiable
% 45.63/15.04  																																							|-Branch two:
% 45.63/15.04  																																							| (422)  ~ (all_0_84_84 = e3)
% 45.63/15.04  																																							| (804) all_0_85_85 = e3
% 45.63/15.04  																																							|
% 45.63/15.04  																																								| Combining equations (493,804) yields a new equation:
% 45.63/15.04  																																								| (790) e4 = e3
% 45.63/15.04  																																								|
% 45.63/15.04  																																								| Simplifying 790 yields:
% 45.63/15.04  																																								| (434) e4 = e3
% 45.63/15.04  																																								|
% 45.63/15.04  																																								| Equations (434) can reduce 177 to:
% 45.63/15.04  																																								| (311) $false
% 45.63/15.04  																																								|
% 45.63/15.04  																																								|-The branch is then unsatisfiable
% 45.63/15.04  																																|-Branch two:
% 45.63/15.04  																																| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.04  																																| (954) all_0_85_85 = e0
% 45.63/15.04  																																|
% 45.63/15.04  																																	| Combining equations (954,493) yields a new equation:
% 45.63/15.04  																																	| (912) e4 = e0
% 45.63/15.04  																																	|
% 45.63/15.04  																																	| Equations (912) can reduce 23 to:
% 45.63/15.04  																																	| (311) $false
% 45.63/15.04  																																	|
% 45.63/15.04  																																	|-The branch is then unsatisfiable
% 45.63/15.04  																										|-Branch two:
% 45.63/15.04  																										| (436)  ~ (all_0_80_80 = e4)
% 45.63/15.04  																										| (638) all_0_81_81 = e4
% 45.63/15.04  																										|
% 45.63/15.04  																											| Combining equations (477,638) yields a new equation:
% 45.63/15.04  																											| (814) e4 = e1
% 45.63/15.04  																											|
% 45.63/15.04  																											| Equations (814) can reduce 256 to:
% 45.63/15.04  																											| (311) $false
% 45.63/15.04  																											|
% 45.63/15.04  																											|-The branch is then unsatisfiable
% 45.63/15.04  																			|-Branch two:
% 45.63/15.04  																			| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 45.63/15.04  																			|
% 45.63/15.04  																				| Applying alpha-rule on (973) yields:
% 45.63/15.04  																				| (974) all_0_50_50 = e0
% 45.63/15.04  																				| (975)  ~ (all_0_51_51 = e3)
% 45.63/15.04  																				|
% 45.63/15.04  																				| From (974) and (121) follows:
% 45.63/15.04  																				| (976) op(e3, all_0_95_95) = e0
% 45.63/15.04  																				|
% 45.63/15.04  																				+-Applying beta-rule and splitting (188), into two cases.
% 45.63/15.04  																				|-Branch one:
% 45.63/15.04  																				| (676) all_0_78_78 = e1
% 45.63/15.04  																				|
% 45.63/15.04  																					| Combining equations (400,676) yields a new equation:
% 45.63/15.04  																					| (408) e2 = e1
% 45.63/15.04  																					|
% 45.63/15.04  																					| Simplifying 408 yields:
% 45.63/15.04  																					| (385) e2 = e1
% 45.63/15.04  																					|
% 45.63/15.04  																					| Equations (385) can reduce 243 to:
% 45.63/15.04  																					| (311) $false
% 45.63/15.04  																					|
% 45.63/15.04  																					|-The branch is then unsatisfiable
% 45.63/15.04  																				|-Branch two:
% 45.63/15.04  																				| (1601)  ~ (all_0_78_78 = e1)
% 45.63/15.04  																				| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.63/15.04  																				|
% 45.63/15.04  																					| Equations (400) can reduce 1601 to:
% 45.63/15.04  																					| (243)  ~ (e2 = e1)
% 45.63/15.04  																					|
% 45.63/15.04  																					+-Applying beta-rule and splitting (127), into two cases.
% 45.63/15.04  																					|-Branch one:
% 45.63/15.04  																					| (457) all_0_79_79 = e1
% 45.63/15.04  																					|
% 45.63/15.04  																						| Equations (457) can reduce 63 to:
% 45.63/15.04  																						| (1665)  ~ (all_0_80_80 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 1665 yields:
% 45.63/15.04  																						| (828)  ~ (all_0_80_80 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 15 to:
% 45.63/15.04  																						| (1667)  ~ (all_0_81_81 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 1667 yields:
% 45.63/15.04  																						| (628)  ~ (all_0_81_81 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 17 to:
% 45.63/15.04  																						| (1669)  ~ (all_0_91_91 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 1669 yields:
% 45.63/15.04  																						| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 214 to:
% 45.63/15.04  																						| (1671)  ~ (all_0_96_96 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 1671 yields:
% 45.63/15.04  																						| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 235 to:
% 45.63/15.04  																						| (681)  ~ (e4 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 681 yields:
% 45.63/15.04  																						| (256)  ~ (e4 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 1622 to:
% 45.63/15.04  																						| (487)  ~ (e2 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Simplifying 487 yields:
% 45.63/15.04  																						| (243)  ~ (e2 = e1)
% 45.63/15.04  																						|
% 45.63/15.04  																						| Equations (457) can reduce 9 to:
% 45.63/15.04  																						| (264)  ~ (e1 = e0)
% 45.63/15.04  																						|
% 45.63/15.04  																						| From (457) and (184) follows:
% 45.63/15.04  																						| (1679) op(e2, e1) = all_0_52_52
% 45.63/15.04  																						|
% 45.63/15.04  																						| Instantiating formula (262) with e2, e1, all_0_52_52, e1 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e1, yields:
% 45.63/15.04  																						| (15841) all_0_52_52 = e1
% 45.63/15.04  																						|
% 45.63/15.04  																						+-Applying beta-rule and splitting (33), into two cases.
% 45.63/15.04  																						|-Branch one:
% 45.63/15.04  																						| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.63/15.04  																						|
% 45.63/15.04  																							+-Applying beta-rule and splitting (1686), into two cases.
% 45.63/15.04  																							|-Branch one:
% 45.63/15.04  																							| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.63/15.04  																							|
% 45.63/15.04  																								+-Applying beta-rule and splitting (1687), into two cases.
% 45.63/15.04  																								|-Branch one:
% 45.63/15.04  																								| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.63/15.04  																								|
% 45.63/15.04  																									| Applying alpha-rule on (1688) yields:
% 45.63/15.04  																									| (1689) all_0_52_52 = e4
% 45.63/15.04  																									| (1690)  ~ (all_0_53_53 = e2)
% 45.63/15.04  																									|
% 45.63/15.04  																									| Combining equations (1689,15841) yields a new equation:
% 45.63/15.04  																									| (813) e4 = e1
% 45.63/15.04  																									|
% 45.63/15.04  																									| Simplifying 813 yields:
% 45.63/15.04  																									| (814) e4 = e1
% 45.63/15.04  																									|
% 45.63/15.04  																									| Equations (814) can reduce 256 to:
% 45.63/15.04  																									| (311) $false
% 45.63/15.04  																									|
% 45.63/15.04  																									|-The branch is then unsatisfiable
% 45.63/15.04  																								|-Branch two:
% 45.63/15.04  																								| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.63/15.04  																								|
% 45.63/15.04  																									| Applying alpha-rule on (1694) yields:
% 45.63/15.04  																									| (1695) all_0_54_54 = e3
% 45.63/15.04  																									| (1696)  ~ (all_0_55_55 = e2)
% 45.63/15.04  																									|
% 45.63/15.04  																									| Combining equations (1647,1695) yields a new equation:
% 45.63/15.04  																									| (790) e4 = e3
% 45.63/15.04  																									|
% 45.63/15.04  																									| Simplifying 790 yields:
% 45.63/15.04  																									| (434) e4 = e3
% 45.63/15.04  																									|
% 45.63/15.04  																									| Equations (434) can reduce 177 to:
% 45.63/15.04  																									| (311) $false
% 45.63/15.04  																									|
% 45.63/15.04  																									|-The branch is then unsatisfiable
% 45.63/15.04  																							|-Branch two:
% 45.63/15.04  																							| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.63/15.04  																							|
% 45.63/15.04  																								| Applying alpha-rule on (1700) yields:
% 45.63/15.04  																								| (1701) all_0_56_56 = e1
% 45.63/15.04  																								| (1702)  ~ (all_0_57_57 = e2)
% 45.63/15.04  																								|
% 45.63/15.04  																								| From (1701) and (222) follows:
% 45.63/15.04  																								| (1703) op(e2, all_0_91_91) = e1
% 45.63/15.04  																								|
% 45.63/15.04  																								+-Applying beta-rule and splitting (106), into two cases.
% 45.63/15.04  																								|-Branch one:
% 45.63/15.04  																								| (771) all_0_78_78 = e3
% 45.63/15.04  																								|
% 45.63/15.04  																									| Combining equations (400,771) yields a new equation:
% 45.63/15.04  																									| (548) e3 = e2
% 45.63/15.04  																									|
% 45.63/15.04  																									| Equations (548) can reduce 169 to:
% 45.63/15.04  																									| (311) $false
% 45.63/15.04  																									|
% 45.63/15.04  																									|-The branch is then unsatisfiable
% 45.63/15.04  																								|-Branch two:
% 45.63/15.04  																								| (418)  ~ (all_0_78_78 = e3)
% 45.63/15.04  																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 45.63/15.04  																								|
% 45.63/15.04  																									| Equations (400) can reduce 418 to:
% 45.63/15.04  																									| (356)  ~ (e3 = e2)
% 45.63/15.04  																									|
% 45.63/15.04  																									| Simplifying 356 yields:
% 45.63/15.04  																									| (169)  ~ (e3 = e2)
% 45.63/15.04  																									|
% 45.63/15.04  																									+-Applying beta-rule and splitting (45), into two cases.
% 45.63/15.04  																									|-Branch one:
% 45.63/15.04  																									| (546) all_0_80_80 = e2
% 45.63/15.04  																									|
% 45.63/15.04  																										| Equations (546) can reduce 394 to:
% 45.63/15.04  																										| (311) $false
% 45.63/15.04  																										|
% 45.63/15.04  																										|-The branch is then unsatisfiable
% 45.63/15.04  																									|-Branch two:
% 45.63/15.04  																									| (394)  ~ (all_0_80_80 = e2)
% 45.63/15.04  																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 45.63/15.04  																									|
% 45.63/15.04  																										+-Applying beta-rule and splitting (84), into two cases.
% 45.63/15.04  																										|-Branch one:
% 45.63/15.04  																										| (1704) all_0_96_96 = e2
% 45.63/15.04  																										|
% 45.63/15.04  																											| Equations (1704) can reduce 1638 to:
% 45.63/15.04  																											| (311) $false
% 45.63/15.04  																											|
% 45.63/15.04  																											|-The branch is then unsatisfiable
% 45.63/15.04  																										|-Branch two:
% 45.63/15.04  																										| (1638)  ~ (all_0_96_96 = e2)
% 45.63/15.04  																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.63/15.04  																										|
% 45.63/15.04  																											+-Applying beta-rule and splitting (108), into two cases.
% 45.63/15.04  																											|-Branch one:
% 45.63/15.04  																											| (477) all_0_81_81 = e1
% 45.63/15.04  																											|
% 45.63/15.04  																												| Equations (477) can reduce 628 to:
% 45.63/15.04  																												| (311) $false
% 45.63/15.04  																												|
% 45.63/15.04  																												|-The branch is then unsatisfiable
% 45.63/15.04  																											|-Branch two:
% 45.63/15.04  																											| (628)  ~ (all_0_81_81 = e1)
% 45.63/15.04  																											| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 45.63/15.04  																											|
% 45.63/15.04  																												+-Applying beta-rule and splitting (2), into two cases.
% 45.63/15.04  																												|-Branch one:
% 45.63/15.04  																												| (916) all_0_84_84 = e0
% 45.63/15.04  																												|
% 45.63/15.04  																													| Equations (916) can reduce 7 to:
% 45.63/15.04  																													| (914)  ~ (all_0_82_82 = e0)
% 45.63/15.04  																													|
% 45.63/15.04  																													| Equations (916) can reduce 154 to:
% 45.63/15.04  																													| (799)  ~ (all_0_85_85 = e0)
% 45.63/15.04  																													|
% 45.63/15.04  																													| Simplifying 799 yields:
% 45.63/15.04  																													| (800)  ~ (all_0_85_85 = e0)
% 45.63/15.04  																													|
% 45.63/15.04  																													| Equations (916) can reduce 87 to:
% 45.63/15.04  																													| (2299)  ~ (all_0_92_92 = e0)
% 45.63/15.04  																													|
% 45.63/15.04  																													| Simplifying 2299 yields:
% 45.63/15.04  																													| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.04  																													|
% 45.63/15.04  																													| From (916) and (122) follows:
% 45.63/15.04  																													| (1321) op(e1, e0) = all_0_62_62
% 45.63/15.04  																													|
% 45.63/15.04  																													| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 45.63/15.04  																													| (1367) all_0_62_62 = all_0_93_93
% 45.63/15.04  																													|
% 45.63/15.04  																													+-Applying beta-rule and splitting (109), into two cases.
% 45.63/15.04  																													|-Branch one:
% 45.63/15.04  																													| (469) all_0_82_82 = e4
% 45.63/15.04  																													|
% 45.63/15.04  																														| Equations (469) can reduce 209 to:
% 45.63/15.04  																														| (647)  ~ (all_0_85_85 = e4)
% 45.63/15.04  																														|
% 45.63/15.04  																														| Simplifying 647 yields:
% 45.63/15.04  																														| (648)  ~ (all_0_85_85 = e4)
% 45.63/15.04  																														|
% 45.63/15.04  																														| Equations (469) can reduce 255 to:
% 45.63/15.04  																														| (466)  ~ (all_0_90_90 = e4)
% 45.63/15.04  																														|
% 45.63/15.04  																														| Simplifying 466 yields:
% 45.63/15.04  																														| (467)  ~ (all_0_90_90 = e4)
% 45.63/15.04  																														|
% 45.63/15.04  																														+-Applying beta-rule and splitting (182), into two cases.
% 45.63/15.04  																														|-Branch one:
% 45.63/15.04  																														| (512) all_0_85_85 = e2
% 45.63/15.04  																														|
% 45.63/15.04  																															| Equations (512) can reduce 515 to:
% 45.63/15.04  																															| (311) $false
% 45.63/15.04  																															|
% 45.63/15.04  																															|-The branch is then unsatisfiable
% 45.63/15.04  																														|-Branch two:
% 45.63/15.04  																														| (515)  ~ (all_0_85_85 = e2)
% 45.63/15.04  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.63/15.04  																														|
% 45.63/15.04  																															+-Applying beta-rule and splitting (725), into two cases.
% 45.63/15.04  																															|-Branch one:
% 45.63/15.04  																															| (804) all_0_85_85 = e3
% 45.63/15.04  																															|
% 45.63/15.04  																																| Equations (804) can reduce 118 to:
% 45.63/15.04  																																| (420)  ~ (all_0_81_81 = e3)
% 45.63/15.04  																																|
% 45.63/15.04  																																| Equations (804) can reduce 201 to:
% 45.63/15.04  																																| (807)  ~ (all_0_93_93 = e3)
% 45.63/15.04  																																|
% 45.63/15.04  																																| Simplifying 807 yields:
% 45.63/15.04  																																| (602)  ~ (all_0_93_93 = e3)
% 45.63/15.04  																																|
% 45.63/15.04  																																| Equations (804) can reduce 648 to:
% 45.63/15.04  																																| (783)  ~ (e4 = e3)
% 45.63/15.04  																																|
% 45.63/15.04  																																| Simplifying 783 yields:
% 45.63/15.04  																																| (177)  ~ (e4 = e3)
% 45.63/15.04  																																|
% 45.63/15.04  																																| Equations (804) can reduce 128 to:
% 45.63/15.04  																																| (20)  ~ (e3 = e1)
% 45.63/15.04  																																|
% 45.63/15.04  																																| From (804) and (26) follows:
% 45.63/15.04  																																| (1891) op(e0, e3) = all_0_71_71
% 45.63/15.04  																																|
% 45.63/15.04  																																+-Applying beta-rule and splitting (1756), into two cases.
% 45.63/15.04  																																|-Branch one:
% 45.63/15.04  																																| (1708) all_0_79_79 = e3
% 45.63/15.04  																																|
% 45.63/15.04  																																	| Combining equations (457,1708) yields a new equation:
% 45.63/15.04  																																	| (772) e3 = e1
% 45.63/15.04  																																	|
% 45.63/15.04  																																	| Equations (772) can reduce 20 to:
% 45.63/15.04  																																	| (311) $false
% 45.63/15.04  																																	|
% 45.63/15.04  																																	|-The branch is then unsatisfiable
% 45.63/15.04  																																|-Branch two:
% 45.63/15.04  																																| (1711)  ~ (all_0_79_79 = e3)
% 45.63/15.04  																																| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 45.63/15.04  																																|
% 45.63/15.04  																																	+-Applying beta-rule and splitting (123), into two cases.
% 45.63/15.04  																																	|-Branch one:
% 45.63/15.04  																																	| (473) all_0_81_81 = e2
% 45.63/15.04  																																	|
% 45.63/15.04  																																		| Equations (473) can reduce 396 to:
% 45.63/15.04  																																		| (311) $false
% 45.63/15.04  																																		|
% 45.63/15.04  																																		|-The branch is then unsatisfiable
% 45.63/15.04  																																	|-Branch two:
% 45.63/15.04  																																	| (396)  ~ (all_0_81_81 = e2)
% 45.63/15.04  																																	| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.63/15.04  																																	|
% 45.63/15.04  																																		+-Applying beta-rule and splitting (1768), into two cases.
% 45.63/15.04  																																		|-Branch one:
% 45.63/15.04  																																		| (416) all_0_80_80 = e3
% 45.63/15.04  																																		|
% 45.63/15.04  																																			| Equations (416) can reduce 394 to:
% 45.63/15.04  																																			| (169)  ~ (e3 = e2)
% 45.63/15.04  																																			|
% 45.63/15.04  																																			| Equations (416) can reduce 828 to:
% 45.63/15.04  																																			| (20)  ~ (e3 = e1)
% 45.63/15.04  																																			|
% 45.63/15.04  																																			| From (416) and (233) follows:
% 45.63/15.04  																																			| (432) op(e1, e3) = all_0_60_60
% 45.63/15.04  																																			|
% 45.63/15.04  																																			+-Applying beta-rule and splitting (641), into two cases.
% 45.63/15.04  																																			|-Branch one:
% 45.63/15.04  																																			| (433) all_0_80_80 = e4
% 45.63/15.04  																																			|
% 45.63/15.04  																																				| Combining equations (416,433) yields a new equation:
% 45.63/15.04  																																				| (434) e4 = e3
% 45.63/15.04  																																				|
% 45.63/15.04  																																				| Equations (434) can reduce 177 to:
% 45.63/15.04  																																				| (311) $false
% 45.63/15.04  																																				|
% 45.63/15.04  																																				|-The branch is then unsatisfiable
% 45.63/15.04  																																			|-Branch two:
% 45.63/15.04  																																			| (436)  ~ (all_0_80_80 = e4)
% 45.63/15.04  																																			| (638) all_0_81_81 = e4
% 45.63/15.04  																																			|
% 45.63/15.04  																																				| Equations (638) can reduce 277 to:
% 45.63/15.04  																																				| (495)  ~ (all_0_93_93 = e4)
% 45.63/15.04  																																				|
% 45.63/15.04  																																				| Simplifying 495 yields:
% 45.63/15.04  																																				| (496)  ~ (all_0_93_93 = e4)
% 45.63/15.04  																																				|
% 45.63/15.04  																																				| Equations (638) can reduce 396 to:
% 45.63/15.04  																																				| (79)  ~ (e4 = e2)
% 45.63/15.04  																																				|
% 45.63/15.04  																																				| From (638) and (68) follows:
% 45.63/15.05  																																				| (657) op(e4, e4) = all_0_70_70
% 45.63/15.05  																																				|
% 45.63/15.05  																																				+-Applying beta-rule and splitting (46), into two cases.
% 45.63/15.05  																																				|-Branch one:
% 45.63/15.05  																																				| (308) all_0_89_89 = e4
% 45.63/15.05  																																				|
% 45.63/15.05  																																					| Combining equations (292,308) yields a new equation:
% 45.63/15.05  																																					| (310) e4 = e2
% 45.63/15.05  																																					|
% 45.63/15.05  																																					| Equations (310) can reduce 79 to:
% 45.63/15.05  																																					| (311) $false
% 45.63/15.05  																																					|
% 45.63/15.05  																																					|-The branch is then unsatisfiable
% 45.63/15.05  																																				|-Branch two:
% 45.63/15.05  																																				| (312)  ~ (all_0_89_89 = e4)
% 45.63/15.05  																																				| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.63/15.05  																																				|
% 45.63/15.05  																																					+-Applying beta-rule and splitting (1915), into two cases.
% 45.63/15.05  																																					|-Branch one:
% 45.63/15.05  																																					| (583) all_0_90_90 = e4
% 45.63/15.05  																																					|
% 45.63/15.05  																																						| Equations (583) can reduce 467 to:
% 45.63/15.05  																																						| (311) $false
% 45.63/15.05  																																						|
% 45.63/15.05  																																						|-The branch is then unsatisfiable
% 45.63/15.05  																																					|-Branch two:
% 45.63/15.05  																																					| (467)  ~ (all_0_90_90 = e4)
% 45.63/15.05  																																					| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 45.63/15.05  																																					|
% 45.63/15.05  																																						+-Applying beta-rule and splitting (1928), into two cases.
% 45.63/15.05  																																						|-Branch one:
% 45.63/15.05  																																						| (442) all_0_92_92 = e4
% 45.63/15.05  																																						|
% 45.63/15.05  																																							| Combining equations (442,5478) yields a new equation:
% 45.63/15.05  																																							| (575) all_0_64_64 = e4
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Equations (442) can reduce 72 to:
% 45.63/15.05  																																							| (467)  ~ (all_0_90_90 = e4)
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Equations (442) can reduce 298 to:
% 45.63/15.05  																																							| (79)  ~ (e4 = e2)
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Equations (442) can reduce 840 to:
% 45.63/15.05  																																							| (256)  ~ (e4 = e1)
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 45.63/15.05  																																							| (686) all_0_70_70 = e0
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 45.63/15.05  																																							| (451) all_0_60_60 = all_0_90_90
% 45.63/15.05  																																							|
% 45.63/15.05  																																							| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 45.63/15.05  																																							| (14316) all_0_71_71 = all_0_95_95
% 45.63/15.05  																																							|
% 45.63/15.05  																																							+-Applying beta-rule and splitting (276), into two cases.
% 45.63/15.05  																																							|-Branch one:
% 45.63/15.05  																																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.63/15.05  																																							|
% 45.63/15.05  																																								+-Applying beta-rule and splitting (577), into two cases.
% 45.63/15.05  																																								|-Branch one:
% 45.63/15.05  																																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.63/15.05  																																								|
% 45.63/15.05  																																									+-Applying beta-rule and splitting (578), into two cases.
% 45.63/15.05  																																									|-Branch one:
% 45.63/15.05  																																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.63/15.05  																																									|
% 45.63/15.05  																																										| Applying alpha-rule on (579) yields:
% 45.63/15.05  																																										| (580) all_0_60_60 = e4
% 45.63/15.05  																																										| (581)  ~ (all_0_61_61 = e1)
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Combining equations (580,451) yields a new equation:
% 45.63/15.05  																																										| (583) all_0_90_90 = e4
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Equations (583) can reduce 467 to:
% 45.63/15.05  																																										| (311) $false
% 45.63/15.05  																																										|
% 45.63/15.05  																																										|-The branch is then unsatisfiable
% 45.63/15.05  																																									|-Branch two:
% 45.63/15.05  																																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.63/15.05  																																									|
% 45.63/15.05  																																										| Applying alpha-rule on (585) yields:
% 45.63/15.05  																																										| (586) all_0_62_62 = e3
% 45.63/15.05  																																										| (587)  ~ (all_0_63_63 = e1)
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Combining equations (586,1367) yields a new equation:
% 45.63/15.05  																																										| (570) all_0_93_93 = e3
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Equations (570) can reduce 602 to:
% 45.63/15.05  																																										| (311) $false
% 45.63/15.05  																																										|
% 45.63/15.05  																																										|-The branch is then unsatisfiable
% 45.63/15.05  																																								|-Branch two:
% 45.63/15.05  																																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.63/15.05  																																								|
% 45.63/15.05  																																									| Applying alpha-rule on (590) yields:
% 45.63/15.05  																																									| (591) all_0_64_64 = e2
% 45.63/15.05  																																									| (592)  ~ (all_0_65_65 = e1)
% 45.63/15.05  																																									|
% 45.63/15.05  																																									| Combining equations (591,575) yields a new equation:
% 45.63/15.05  																																									| (310) e4 = e2
% 45.63/15.05  																																									|
% 45.63/15.05  																																									| Equations (310) can reduce 79 to:
% 45.63/15.05  																																									| (311) $false
% 45.63/15.05  																																									|
% 45.63/15.05  																																									|-The branch is then unsatisfiable
% 45.63/15.05  																																							|-Branch two:
% 45.63/15.05  																																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.63/15.05  																																							|
% 45.63/15.05  																																								| Applying alpha-rule on (596) yields:
% 45.63/15.05  																																								| (597) all_0_67_67 = e0
% 45.63/15.05  																																								| (598)  ~ (all_0_68_68 = e1)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Combining equations (597,4077) yields a new equation:
% 45.63/15.05  																																								| (1456) all_0_91_91 = e0
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Equations (1368) can reduce 598 to:
% 45.63/15.05  																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Equations (1456) can reduce 64 to:
% 45.63/15.05  																																								| (2296)  ~ (all_0_96_96 = e0)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Simplifying 2296 yields:
% 45.63/15.05  																																								| (2095)  ~ (all_0_96_96 = e0)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Equations (1456) can reduce 959 to:
% 45.63/15.05  																																								| (859)  ~ (e1 = e0)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								| Simplifying 859 yields:
% 45.63/15.05  																																								| (264)  ~ (e1 = e0)
% 45.63/15.05  																																								|
% 45.63/15.05  																																								+-Applying beta-rule and splitting (1707), into two cases.
% 45.63/15.05  																																								|-Branch one:
% 45.63/15.05  																																								| (960) all_0_96_96 = e1
% 45.63/15.05  																																								|
% 45.63/15.05  																																									| Equations (960) can reduce 1479 to:
% 45.63/15.05  																																									| (311) $false
% 45.63/15.05  																																									|
% 45.63/15.05  																																									|-The branch is then unsatisfiable
% 45.63/15.05  																																								|-Branch two:
% 45.63/15.05  																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.05  																																								| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.63/15.05  																																								|
% 45.63/15.05  																																									+-Applying beta-rule and splitting (285), into two cases.
% 45.63/15.05  																																									|-Branch one:
% 45.63/15.05  																																									| (1708) all_0_79_79 = e3
% 45.63/15.05  																																									|
% 45.63/15.05  																																										| Combining equations (457,1708) yields a new equation:
% 45.63/15.05  																																										| (772) e3 = e1
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Equations (772) can reduce 20 to:
% 45.63/15.05  																																										| (311) $false
% 45.63/15.05  																																										|
% 45.63/15.05  																																										|-The branch is then unsatisfiable
% 45.63/15.05  																																									|-Branch two:
% 45.63/15.05  																																									| (1711)  ~ (all_0_79_79 = e3)
% 45.63/15.05  																																									| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.63/15.05  																																									|
% 45.63/15.05  																																										| Equations (457) can reduce 1711 to:
% 45.63/15.05  																																										| (683)  ~ (e3 = e1)
% 45.63/15.05  																																										|
% 45.63/15.05  																																										| Simplifying 683 yields:
% 45.63/15.05  																																										| (20)  ~ (e3 = e1)
% 45.63/15.05  																																										|
% 45.63/15.05  																																										+-Applying beta-rule and splitting (282), into two cases.
% 45.63/15.05  																																										|-Branch one:
% 45.63/15.05  																																										| (754) all_0_90_90 = e3
% 45.63/15.05  																																										|
% 45.63/15.05  																																											| Equations (754) can reduce 229 to:
% 45.63/15.05  																																											| (1070)  ~ (all_0_95_95 = e3)
% 45.63/15.05  																																											|
% 45.63/15.05  																																											| Simplifying 1070 yields:
% 45.63/15.05  																																											| (765)  ~ (all_0_95_95 = e3)
% 45.63/15.05  																																											|
% 45.63/15.05  																																											+-Applying beta-rule and splitting (132), into two cases.
% 45.63/15.05  																																											|-Branch one:
% 45.63/15.05  																																											| (750) all_0_90_90 = e1
% 45.63/15.05  																																											|
% 45.63/15.05  																																												| Combining equations (754,750) yields a new equation:
% 45.63/15.05  																																												| (825) e3 = e1
% 45.63/15.05  																																												|
% 45.63/15.05  																																												| Simplifying 825 yields:
% 45.63/15.05  																																												| (772) e3 = e1
% 45.63/15.05  																																												|
% 45.63/15.05  																																												| Equations (772) can reduce 20 to:
% 45.63/15.05  																																												| (311) $false
% 45.63/15.05  																																												|
% 45.63/15.05  																																												|-The branch is then unsatisfiable
% 45.63/15.05  																																											|-Branch two:
% 45.63/15.05  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.05  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.05  																																											|
% 45.63/15.05  																																												+-Applying beta-rule and splitting (1526), into two cases.
% 45.63/15.05  																																												|-Branch one:
% 45.63/15.05  																																												| (801) all_0_91_91 = e1
% 45.63/15.05  																																												|
% 45.63/15.05  																																													| Combining equations (1456,801) yields a new equation:
% 45.63/15.05  																																													| (865) e1 = e0
% 45.63/15.05  																																													|
% 45.63/15.05  																																													| Equations (865) can reduce 264 to:
% 45.63/15.05  																																													| (311) $false
% 45.63/15.05  																																													|
% 45.63/15.05  																																													|-The branch is then unsatisfiable
% 45.63/15.05  																																												|-Branch two:
% 45.63/15.05  																																												| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.05  																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.05  																																												|
% 45.63/15.05  																																													+-Applying beta-rule and splitting (89), into two cases.
% 45.63/15.05  																																													|-Branch one:
% 45.63/15.05  																																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.63/15.05  																																													|
% 45.63/15.05  																																														+-Applying beta-rule and splitting (1373), into two cases.
% 45.63/15.05  																																														|-Branch one:
% 45.63/15.05  																																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.63/15.05  																																														|
% 45.63/15.05  																																															+-Applying beta-rule and splitting (1374), into two cases.
% 45.63/15.05  																																															|-Branch one:
% 45.63/15.05  																																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.63/15.05  																																															|
% 45.63/15.05  																																																| Applying alpha-rule on (1375) yields:
% 45.63/15.05  																																																| (1376) all_0_69_69 = e4
% 45.63/15.05  																																																| (1377)  ~ (all_0_70_70 = e0)
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Equations (686) can reduce 1377 to:
% 45.63/15.05  																																																| (311) $false
% 45.63/15.05  																																																|
% 45.63/15.05  																																																|-The branch is then unsatisfiable
% 45.63/15.05  																																															|-Branch two:
% 45.63/15.05  																																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.63/15.05  																																															|
% 45.63/15.05  																																																| Applying alpha-rule on (1379) yields:
% 45.63/15.05  																																																| (1380) all_0_71_71 = e3
% 45.63/15.05  																																																| (1381)  ~ (all_0_72_72 = e0)
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Combining equations (1380,14316) yields a new equation:
% 45.63/15.05  																																																| (744) all_0_95_95 = e3
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Equations (744) can reduce 765 to:
% 45.63/15.05  																																																| (311) $false
% 45.63/15.05  																																																|
% 45.63/15.05  																																																|-The branch is then unsatisfiable
% 45.63/15.05  																																														|-Branch two:
% 45.63/15.05  																																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.63/15.05  																																														|
% 45.63/15.05  																																															| Applying alpha-rule on (1385) yields:
% 45.63/15.05  																																															| (1386) all_0_73_73 = e2
% 45.63/15.05  																																															| (1387)  ~ (all_0_74_74 = e0)
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Combining equations (1386,18823) yields a new equation:
% 45.63/15.05  																																															| (1704) all_0_96_96 = e2
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Equations (1704) can reduce 1638 to:
% 45.63/15.05  																																															| (311) $false
% 45.63/15.05  																																															|
% 45.63/15.05  																																															|-The branch is then unsatisfiable
% 45.63/15.05  																																													|-Branch two:
% 45.63/15.05  																																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.63/15.05  																																													|
% 45.63/15.05  																																														| Applying alpha-rule on (1391) yields:
% 45.63/15.05  																																														| (1392) all_0_75_75 = e1
% 45.63/15.05  																																														| (1393)  ~ (all_0_76_76 = e0)
% 45.63/15.05  																																														|
% 45.63/15.05  																																														| From (1392) and (173) follows:
% 45.63/15.05  																																														| (1394) op(e0, all_0_93_93) = e1
% 45.63/15.05  																																														|
% 45.63/15.05  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 45.63/15.05  																																														|-Branch one:
% 45.63/15.05  																																														| (836) all_0_92_92 = e1
% 45.63/15.05  																																														|
% 45.63/15.05  																																															| Combining equations (442,836) yields a new equation:
% 45.63/15.05  																																															| (813) e4 = e1
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Simplifying 813 yields:
% 45.63/15.05  																																															| (814) e4 = e1
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Equations (814) can reduce 256 to:
% 45.63/15.05  																																															| (311) $false
% 45.63/15.05  																																															|
% 45.63/15.05  																																															|-The branch is then unsatisfiable
% 45.63/15.05  																																														|-Branch two:
% 45.63/15.05  																																														| (840)  ~ (all_0_92_92 = e1)
% 45.63/15.05  																																														| (566) all_0_93_93 = e1
% 45.63/15.05  																																														|
% 45.63/15.05  																																															| Equations (566) can reduce 13 to:
% 45.63/15.05  																																															| (1803)  ~ (all_0_98_98 = e1)
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Simplifying 1803 yields:
% 45.63/15.05  																																															| (1804)  ~ (all_0_98_98 = e1)
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Equations (566) can reduce 300 to:
% 45.63/15.05  																																															| (487)  ~ (e2 = e1)
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| Simplifying 487 yields:
% 45.63/15.05  																																															| (243)  ~ (e2 = e1)
% 45.63/15.05  																																															|
% 45.63/15.05  																																															| From (566) and (1394) follows:
% 45.63/15.05  																																															| (2475) op(e0, e1) = e1
% 45.63/15.05  																																															|
% 45.63/15.05  																																															+-Applying beta-rule and splitting (176), into two cases.
% 45.63/15.05  																																															|-Branch one:
% 45.63/15.05  																																															| (785) all_0_95_95 = e1
% 45.63/15.05  																																															|
% 45.63/15.05  																																																| Equations (785) can reduce 355 to:
% 45.63/15.05  																																																| (487)  ~ (e2 = e1)
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Simplifying 487 yields:
% 45.63/15.05  																																																| (243)  ~ (e2 = e1)
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| From (785) and (280) follows:
% 45.63/15.05  																																																| (13196) op(e0, e1) = all_0_51_51
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Instantiating formula (262) with e0, e1, all_0_51_51, e2 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e2, yields:
% 45.63/15.05  																																																| (27448) all_0_51_51 = e2
% 45.63/15.05  																																																|
% 45.63/15.05  																																																| Instantiating formula (262) with e0, e1, e1, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e1, yields:
% 45.63/15.05  																																																| (1552) all_0_51_51 = e1
% 45.63/15.05  																																																|
% 45.63/15.06  																																																| Combining equations (27448,1552) yields a new equation:
% 45.63/15.06  																																																| (408) e2 = e1
% 45.63/15.06  																																																|
% 45.63/15.06  																																																| Simplifying 408 yields:
% 45.63/15.06  																																																| (385) e2 = e1
% 45.63/15.06  																																																|
% 45.63/15.06  																																																| Equations (385) can reduce 243 to:
% 45.63/15.06  																																																| (311) $false
% 45.63/15.06  																																																|
% 45.63/15.06  																																																|-The branch is then unsatisfiable
% 45.63/15.06  																																															|-Branch two:
% 45.63/15.06  																																															| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.06  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.06  																																															|
% 45.63/15.06  																																																+-Applying beta-rule and splitting (788), into two cases.
% 45.63/15.06  																																																|-Branch one:
% 45.63/15.06  																																																| (960) all_0_96_96 = e1
% 45.63/15.06  																																																|
% 45.63/15.06  																																																	| Equations (960) can reduce 1479 to:
% 45.63/15.06  																																																	| (311) $false
% 45.63/15.06  																																																	|
% 45.63/15.06  																																																	|-The branch is then unsatisfiable
% 45.63/15.06  																																																|-Branch two:
% 45.63/15.06  																																																| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.06  																																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.06  																																																|
% 45.63/15.06  																																																	+-Applying beta-rule and splitting (2126), into two cases.
% 45.63/15.06  																																																	|-Branch one:
% 45.63/15.06  																																																	| (542) all_0_97_97 = e1
% 45.63/15.06  																																																	|
% 45.63/15.06  																																																		| Combining equations (538,542) yields a new equation:
% 45.63/15.06  																																																		| (408) e2 = e1
% 45.63/15.06  																																																		|
% 45.63/15.06  																																																		| Simplifying 408 yields:
% 45.63/15.06  																																																		| (385) e2 = e1
% 45.63/15.06  																																																		|
% 45.63/15.06  																																																		| Equations (385) can reduce 243 to:
% 45.63/15.06  																																																		| (311) $false
% 45.63/15.06  																																																		|
% 45.63/15.06  																																																		|-The branch is then unsatisfiable
% 45.63/15.06  																																																	|-Branch two:
% 45.63/15.06  																																																	| (486)  ~ (all_0_97_97 = e1)
% 45.63/15.06  																																																	| (1543) all_0_98_98 = e1
% 45.63/15.06  																																																	|
% 45.63/15.06  																																																		| Equations (1543) can reduce 1804 to:
% 45.63/15.06  																																																		| (311) $false
% 45.63/15.06  																																																		|
% 45.63/15.06  																																																		|-The branch is then unsatisfiable
% 45.63/15.06  																																										|-Branch two:
% 45.63/15.06  																																										| (745)  ~ (all_0_90_90 = e3)
% 45.63/15.06  																																										| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.63/15.06  																																										|
% 45.63/15.06  																																											+-Applying beta-rule and splitting (220), into two cases.
% 45.63/15.06  																																											|-Branch one:
% 45.63/15.06  																																											| (771) all_0_78_78 = e3
% 45.63/15.06  																																											|
% 45.63/15.06  																																												| Combining equations (400,771) yields a new equation:
% 45.63/15.06  																																												| (548) e3 = e2
% 45.63/15.06  																																												|
% 45.63/15.06  																																												| Equations (548) can reduce 169 to:
% 45.63/15.06  																																												| (311) $false
% 45.63/15.06  																																												|
% 45.63/15.06  																																												|-The branch is then unsatisfiable
% 45.63/15.06  																																											|-Branch two:
% 45.63/15.06  																																											| (418)  ~ (all_0_78_78 = e3)
% 45.63/15.06  																																											| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.63/15.06  																																											|
% 45.63/15.06  																																												+-Applying beta-rule and splitting (2016), into two cases.
% 45.63/15.06  																																												|-Branch one:
% 45.63/15.06  																																												| (778) all_0_96_96 = e3
% 45.63/15.06  																																												|
% 45.63/15.06  																																													| Equations (778) can reduce 115 to:
% 45.63/15.06  																																													| (783)  ~ (e4 = e3)
% 45.63/15.06  																																													|
% 45.63/15.06  																																													| Simplifying 783 yields:
% 45.63/15.06  																																													| (177)  ~ (e4 = e3)
% 45.63/15.06  																																													|
% 45.63/15.06  																																													| Equations (778) can reduce 2095 to:
% 45.63/15.06  																																													| (50)  ~ (e3 = e0)
% 45.63/15.06  																																													|
% 45.63/15.06  																																													+-Applying beta-rule and splitting (849), into two cases.
% 45.63/15.06  																																													|-Branch one:
% 45.63/15.06  																																													| (588) all_0_91_91 = e3
% 45.63/15.06  																																													|
% 45.63/15.06  																																														| Combining equations (1456,588) yields a new equation:
% 45.63/15.06  																																														| (600) e3 = e0
% 45.63/15.06  																																														|
% 45.63/15.06  																																														| Equations (600) can reduce 50 to:
% 45.63/15.06  																																														| (311) $false
% 45.63/15.06  																																														|
% 45.63/15.06  																																														|-The branch is then unsatisfiable
% 45.63/15.06  																																													|-Branch two:
% 45.63/15.06  																																													| (571)  ~ (all_0_91_91 = e3)
% 45.63/15.06  																																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.63/15.06  																																													|
% 45.63/15.06  																																														+-Applying beta-rule and splitting (775), into two cases.
% 45.63/15.06  																																														|-Branch one:
% 45.63/15.06  																																														| (789) all_0_82_82 = e3
% 45.63/15.06  																																														|
% 45.63/15.06  																																															| Combining equations (469,789) yields a new equation:
% 45.63/15.06  																																															| (790) e4 = e3
% 45.63/15.06  																																															|
% 45.63/15.06  																																															| Simplifying 790 yields:
% 45.63/15.06  																																															| (434) e4 = e3
% 45.63/15.06  																																															|
% 45.63/15.06  																																															| Equations (434) can reduce 177 to:
% 45.63/15.06  																																															| (311) $false
% 45.63/15.06  																																															|
% 45.63/15.06  																																															|-The branch is then unsatisfiable
% 45.63/15.06  																																														|-Branch two:
% 45.63/15.06  																																														| (793)  ~ (all_0_82_82 = e3)
% 45.63/15.06  																																														| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 45.63/15.06  																																														|
% 45.63/15.06  																																															| Equations (469) can reduce 793 to:
% 45.63/15.06  																																															| (177)  ~ (e4 = e3)
% 45.63/15.06  																																															|
% 45.63/15.06  																																															+-Applying beta-rule and splitting (881), into two cases.
% 45.63/15.06  																																															|-Branch one:
% 45.63/15.06  																																															| (882) all_0_92_92 = e3
% 45.63/15.06  																																															|
% 45.63/15.06  																																																| Combining equations (442,882) yields a new equation:
% 45.63/15.06  																																																| (790) e4 = e3
% 45.63/15.06  																																																|
% 45.63/15.06  																																																| Simplifying 790 yields:
% 45.63/15.06  																																																| (434) e4 = e3
% 45.63/15.06  																																																|
% 45.63/15.06  																																																| Equations (434) can reduce 177 to:
% 45.63/15.06  																																																| (311) $false
% 45.63/15.06  																																																|
% 45.63/15.06  																																																|-The branch is then unsatisfiable
% 45.63/15.06  																																															|-Branch two:
% 45.63/15.06  																																															| (426)  ~ (all_0_92_92 = e3)
% 45.63/15.06  																																															| (570) all_0_93_93 = e3
% 45.63/15.06  																																															|
% 45.63/15.06  																																																| Equations (570) can reduce 602 to:
% 45.63/15.06  																																																| (311) $false
% 45.63/15.06  																																																|
% 45.63/15.06  																																																|-The branch is then unsatisfiable
% 45.63/15.06  																																												|-Branch two:
% 45.63/15.06  																																												| (964)  ~ (all_0_96_96 = e3)
% 45.63/15.06  																																												| (1837) all_0_96_96 = e0
% 45.63/15.06  																																												|
% 45.63/15.06  																																													| Equations (1837) can reduce 2095 to:
% 45.63/15.06  																																													| (311) $false
% 45.63/15.06  																																													|
% 45.63/15.06  																																													|-The branch is then unsatisfiable
% 45.63/15.06  																																						|-Branch two:
% 45.63/15.06  																																						| (1619)  ~ (all_0_92_92 = e4)
% 45.63/15.06  																																						| (607) all_0_93_93 = e4
% 45.63/15.06  																																						|
% 45.63/15.06  																																							| Equations (607) can reduce 496 to:
% 45.63/15.06  																																							| (311) $false
% 45.63/15.06  																																							|
% 45.63/15.06  																																							|-The branch is then unsatisfiable
% 45.63/15.06  																																		|-Branch two:
% 45.63/15.06  																																		| (2347)  ~ (all_0_80_80 = e3)
% 45.63/15.06  																																		| (635) all_0_81_81 = e3
% 45.63/15.06  																																		|
% 45.63/15.06  																																			| Equations (635) can reduce 420 to:
% 45.63/15.06  																																			| (311) $false
% 45.63/15.06  																																			|
% 45.63/15.06  																																			|-The branch is then unsatisfiable
% 45.63/15.06  																															|-Branch two:
% 45.63/15.06  																															| (952)  ~ (all_0_85_85 = e3)
% 45.63/15.06  																															| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.63/15.06  																															|
% 45.63/15.06  																																+-Applying beta-rule and splitting (953), into two cases.
% 45.63/15.06  																																|-Branch one:
% 45.63/15.06  																																| (954) all_0_85_85 = e0
% 45.63/15.06  																																|
% 45.63/15.06  																																	| Equations (954) can reduce 800 to:
% 45.63/15.06  																																	| (311) $false
% 45.63/15.06  																																	|
% 45.63/15.06  																																	|-The branch is then unsatisfiable
% 45.63/15.06  																																|-Branch two:
% 45.63/15.06  																																| (800)  ~ (all_0_85_85 = e0)
% 45.63/15.06  																																| (493) all_0_85_85 = e4
% 45.63/15.06  																																|
% 45.63/15.06  																																	| Equations (493) can reduce 648 to:
% 45.63/15.06  																																	| (311) $false
% 45.63/15.06  																																	|
% 45.63/15.06  																																	|-The branch is then unsatisfiable
% 45.63/15.06  																													|-Branch two:
% 45.63/15.06  																													| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.06  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.63/15.06  																													|
% 45.63/15.06  																														+-Applying beta-rule and splitting (10), into two cases.
% 45.63/15.06  																														|-Branch one:
% 45.63/15.06  																														| (530) all_0_82_82 = e2
% 45.63/15.06  																														|
% 45.63/15.06  																															| Equations (530) can reduce 347 to:
% 45.63/15.06  																															| (311) $false
% 45.63/15.06  																															|
% 45.63/15.06  																															|-The branch is then unsatisfiable
% 45.63/15.06  																														|-Branch two:
% 45.63/15.06  																														| (347)  ~ (all_0_82_82 = e2)
% 45.63/15.06  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.63/15.06  																														|
% 45.63/15.06  																															+-Applying beta-rule and splitting (472), into two cases.
% 45.63/15.06  																															|-Branch one:
% 45.63/15.06  																															| (438) all_0_84_84 = e4
% 45.63/15.06  																															|
% 45.63/15.06  																																| Combining equations (916,438) yields a new equation:
% 45.63/15.06  																																| (912) e4 = e0
% 45.63/15.06  																																|
% 45.63/15.06  																																| Equations (912) can reduce 23 to:
% 45.63/15.06  																																| (311) $false
% 45.63/15.06  																																|
% 45.63/15.06  																																|-The branch is then unsatisfiable
% 45.63/15.06  																															|-Branch two:
% 45.63/15.06  																															| (417)  ~ (all_0_84_84 = e4)
% 45.63/15.06  																															| (493) all_0_85_85 = e4
% 45.63/15.06  																															|
% 45.63/15.06  																																| Equations (493) can reduce 209 to:
% 45.63/15.06  																																| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.06  																																|
% 45.63/15.06  																																| Equations (493) can reduce 75 to:
% 45.63/15.06  																																| (320)  ~ (all_0_98_98 = e4)
% 45.63/15.06  																																|
% 45.63/15.06  																																| Simplifying 320 yields:
% 45.63/15.06  																																| (321)  ~ (all_0_98_98 = e4)
% 45.63/15.06  																																|
% 45.63/15.06  																																| Equations (493) can reduce 515 to:
% 45.63/15.06  																																| (79)  ~ (e4 = e2)
% 45.63/15.06  																																|
% 45.63/15.06  																																+-Applying beta-rule and splitting (2205), into two cases.
% 45.63/15.06  																																|-Branch one:
% 45.63/15.06  																																| (789) all_0_82_82 = e3
% 45.63/15.06  																																|
% 45.63/15.06  																																	| Equations (789) can reduce 465 to:
% 45.63/15.06  																																	| (783)  ~ (e4 = e3)
% 45.63/15.06  																																	|
% 45.63/15.06  																																	| Simplifying 783 yields:
% 45.63/15.06  																																	| (177)  ~ (e4 = e3)
% 45.63/15.06  																																	|
% 45.63/15.06  																																	+-Applying beta-rule and splitting (99), into two cases.
% 45.63/15.06  																																	|-Branch one:
% 45.63/15.06  																																	| (767) all_0_95_95 = e2
% 45.63/15.06  																																	|
% 45.63/15.06  																																		| Equations (767) can reduce 355 to:
% 45.63/15.06  																																		| (311) $false
% 45.63/15.06  																																		|
% 45.63/15.06  																																		|-The branch is then unsatisfiable
% 45.63/15.06  																																	|-Branch two:
% 45.63/15.06  																																	| (355)  ~ (all_0_95_95 = e2)
% 45.63/15.06  																																	| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.63/15.06  																																	|
% 45.63/15.06  																																		+-Applying beta-rule and splitting (770), into two cases.
% 45.63/15.06  																																		|-Branch one:
% 45.63/15.06  																																		| (785) all_0_95_95 = e1
% 45.63/15.06  																																		|
% 45.63/15.06  																																			| Equations (785) can reduce 107 to:
% 45.63/15.06  																																			| (1803)  ~ (all_0_98_98 = e1)
% 45.63/15.06  																																			|
% 45.63/15.06  																																			| Simplifying 1803 yields:
% 45.63/15.06  																																			| (1804)  ~ (all_0_98_98 = e1)
% 45.63/15.06  																																			|
% 45.63/15.06  																																			| Equations (785) can reduce 355 to:
% 45.63/15.06  																																			| (487)  ~ (e2 = e1)
% 45.63/15.06  																																			|
% 45.63/15.06  																																			| Simplifying 487 yields:
% 45.63/15.06  																																			| (243)  ~ (e2 = e1)
% 45.63/15.06  																																			|
% 45.63/15.06  																																			| Equations (785) can reduce 893 to:
% 45.63/15.06  																																			| (264)  ~ (e1 = e0)
% 45.63/15.06  																																			|
% 45.63/15.06  																																			+-Applying beta-rule and splitting (817), into two cases.
% 45.63/15.06  																																			|-Branch one:
% 45.63/15.06  																																			| (504) all_0_88_88 = e1
% 45.63/15.06  																																			|
% 45.63/15.06  																																				| Combining equations (504,370) yields a new equation:
% 45.63/15.06  																																				| (385) e2 = e1
% 45.63/15.06  																																				|
% 45.63/15.06  																																				| Equations (385) can reduce 243 to:
% 45.63/15.06  																																				| (311) $false
% 45.63/15.06  																																				|
% 45.63/15.06  																																				|-The branch is then unsatisfiable
% 45.63/15.06  																																			|-Branch two:
% 45.63/15.06  																																			| (479)  ~ (all_0_88_88 = e1)
% 45.63/15.06  																																			| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 45.63/15.06  																																			|
% 45.63/15.06  																																				+-Applying beta-rule and splitting (897), into two cases.
% 45.63/15.06  																																				|-Branch one:
% 45.63/15.06  																																				| (566) all_0_93_93 = e1
% 45.63/15.06  																																				|
% 45.63/15.06  																																					| Equations (566) can reduce 300 to:
% 45.63/15.06  																																					| (487)  ~ (e2 = e1)
% 45.63/15.06  																																					|
% 45.63/15.06  																																					| Simplifying 487 yields:
% 45.63/15.06  																																					| (243)  ~ (e2 = e1)
% 45.63/15.06  																																					|
% 45.63/15.06  																																					+-Applying beta-rule and splitting (291), into two cases.
% 45.63/15.06  																																					|-Branch one:
% 45.63/15.06  																																					| (758) all_0_90_90 = e0
% 45.63/15.06  																																					|
% 45.63/15.06  																																						| Equations (758) can reduce 762 to:
% 45.63/15.06  																																						| (311) $false
% 45.63/15.06  																																						|
% 45.63/15.06  																																						|-The branch is then unsatisfiable
% 45.63/15.06  																																					|-Branch two:
% 45.63/15.06  																																					| (762)  ~ (all_0_90_90 = e0)
% 45.63/15.06  																																					| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.06  																																					|
% 45.63/15.06  																																						+-Applying beta-rule and splitting (1455), into two cases.
% 45.63/15.06  																																						|-Branch one:
% 45.63/15.06  																																						| (1456) all_0_91_91 = e0
% 45.63/15.06  																																						|
% 45.63/15.06  																																							| From (1456) and (1703) follows:
% 45.63/15.06  																																							| (2305) op(e2, e0) = e1
% 45.63/15.06  																																							|
% 45.63/15.06  																																							| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 45.63/15.06  																																							| (385) e2 = e1
% 45.63/15.06  																																							|
% 45.63/15.06  																																							| Equations (385) can reduce 243 to:
% 45.63/15.06  																																							| (311) $false
% 45.63/15.06  																																							|
% 45.63/15.06  																																							|-The branch is then unsatisfiable
% 45.63/15.06  																																						|-Branch two:
% 45.63/15.06  																																						| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.06  																																						| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.63/15.06  																																						|
% 45.63/15.06  																																							+-Applying beta-rule and splitting (1488), into two cases.
% 45.63/15.06  																																							|-Branch one:
% 45.63/15.06  																																							| (942) all_0_92_92 = e0
% 45.63/15.06  																																							|
% 45.63/15.06  																																								| Equations (942) can reduce 946 to:
% 45.63/15.06  																																								| (311) $false
% 45.63/15.06  																																								|
% 45.63/15.06  																																								|-The branch is then unsatisfiable
% 45.63/15.06  																																							|-Branch two:
% 45.63/15.06  																																							| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.06  																																							| (604) all_0_93_93 = e0
% 45.63/15.06  																																							|
% 45.63/15.06  																																								| Combining equations (566,604) yields a new equation:
% 45.63/15.06  																																								| (1107) e1 = e0
% 45.63/15.06  																																								|
% 45.63/15.06  																																								| Simplifying 1107 yields:
% 45.63/15.06  																																								| (865) e1 = e0
% 45.63/15.06  																																								|
% 45.63/15.06  																																								| Equations (865) can reduce 264 to:
% 45.63/15.06  																																								| (311) $false
% 45.63/15.06  																																								|
% 45.63/15.06  																																								|-The branch is then unsatisfiable
% 45.63/15.06  																																				|-Branch two:
% 45.63/15.06  																																				| (481)  ~ (all_0_93_93 = e1)
% 45.63/15.06  																																				| (1543) all_0_98_98 = e1
% 45.63/15.06  																																				|
% 45.63/15.06  																																					| Equations (1543) can reduce 1804 to:
% 45.63/15.06  																																					| (311) $false
% 45.63/15.06  																																					|
% 45.63/15.06  																																					|-The branch is then unsatisfiable
% 45.63/15.06  																																		|-Branch two:
% 45.63/15.06  																																		| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.06  																																		| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.63/15.06  																																		|
% 45.63/15.06  																																			+-Applying beta-rule and splitting (176), into two cases.
% 45.63/15.06  																																			|-Branch one:
% 45.63/15.06  																																			| (785) all_0_95_95 = e1
% 45.63/15.06  																																			|
% 45.63/15.06  																																				| Equations (785) can reduce 680 to:
% 45.63/15.06  																																				| (311) $false
% 45.63/15.06  																																				|
% 45.63/15.06  																																				|-The branch is then unsatisfiable
% 45.63/15.06  																																			|-Branch two:
% 45.63/15.06  																																			| (680)  ~ (all_0_95_95 = e1)
% 45.63/15.06  																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.06  																																			|
% 45.63/15.06  																																				+-Applying beta-rule and splitting (788), into two cases.
% 45.63/15.06  																																				|-Branch one:
% 45.63/15.06  																																				| (960) all_0_96_96 = e1
% 45.63/15.06  																																				|
% 45.63/15.06  																																					| Equations (960) can reduce 1479 to:
% 45.63/15.06  																																					| (311) $false
% 45.63/15.06  																																					|
% 45.63/15.06  																																					|-The branch is then unsatisfiable
% 45.63/15.06  																																				|-Branch two:
% 45.63/15.06  																																				| (1479)  ~ (all_0_96_96 = e1)
% 45.63/15.06  																																				| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.63/15.06  																																				|
% 45.63/15.06  																																					+-Applying beta-rule and splitting (4), into two cases.
% 45.63/15.06  																																					|-Branch one:
% 45.63/15.06  																																					| (463) all_0_78_78 = e4
% 45.63/15.06  																																					|
% 45.63/15.06  																																						| Combining equations (400,463) yields a new equation:
% 45.63/15.06  																																						| (310) e4 = e2
% 45.63/15.06  																																						|
% 45.63/15.06  																																						| Equations (310) can reduce 79 to:
% 45.63/15.06  																																						| (311) $false
% 45.63/15.06  																																						|
% 45.63/15.06  																																						|-The branch is then unsatisfiable
% 45.63/15.06  																																					|-Branch two:
% 45.63/15.06  																																					| (640)  ~ (all_0_78_78 = e4)
% 45.63/15.06  																																					| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.63/15.06  																																					|
% 45.63/15.06  																																						+-Applying beta-rule and splitting (2126), into two cases.
% 45.63/15.06  																																						|-Branch one:
% 45.63/15.06  																																						| (542) all_0_97_97 = e1
% 45.63/15.06  																																						|
% 45.63/15.06  																																							| Combining equations (542,538) yields a new equation:
% 45.63/15.06  																																							| (385) e2 = e1
% 45.63/15.06  																																							|
% 45.63/15.06  																																							| Equations (385) can reduce 243 to:
% 45.63/15.06  																																							| (311) $false
% 45.63/15.06  																																							|
% 45.63/15.06  																																							|-The branch is then unsatisfiable
% 45.63/15.06  																																						|-Branch two:
% 45.63/15.06  																																						| (486)  ~ (all_0_97_97 = e1)
% 45.63/15.06  																																						| (1543) all_0_98_98 = e1
% 45.63/15.06  																																						|
% 45.63/15.06  																																							| Equations (1543) can reduce 13 to:
% 45.63/15.06  																																							| (481)  ~ (all_0_93_93 = e1)
% 45.63/15.06  																																							|
% 45.63/15.06  																																							| Equations (1543) can reduce 321 to:
% 45.63/15.06  																																							| (681)  ~ (e4 = e1)
% 45.63/15.06  																																							|
% 45.63/15.06  																																							| Simplifying 681 yields:
% 45.63/15.06  																																							| (256)  ~ (e4 = e1)
% 45.63/15.06  																																							|
% 45.63/15.06  																																							+-Applying beta-rule and splitting (132), into two cases.
% 45.63/15.06  																																							|-Branch one:
% 45.63/15.06  																																							| (750) all_0_90_90 = e1
% 45.63/15.06  																																							|
% 45.63/15.06  																																								+-Applying beta-rule and splitting (3625), into two cases.
% 45.63/15.06  																																								|-Branch one:
% 45.63/15.06  																																								| (469) all_0_82_82 = e4
% 45.63/15.06  																																								|
% 45.63/15.06  																																									| Combining equations (789,469) yields a new equation:
% 45.63/15.06  																																									| (434) e4 = e3
% 45.63/15.06  																																									|
% 45.63/15.06  																																									| Equations (434) can reduce 177 to:
% 45.63/15.06  																																									| (311) $false
% 45.63/15.06  																																									|
% 45.63/15.06  																																									|-The branch is then unsatisfiable
% 45.63/15.06  																																								|-Branch two:
% 45.63/15.06  																																								| (465)  ~ (all_0_82_82 = e4)
% 45.63/15.06  																																								| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.63/15.06  																																								|
% 45.63/15.06  																																									+-Applying beta-rule and splitting (3629), into two cases.
% 45.63/15.06  																																									|-Branch one:
% 45.63/15.06  																																									| (583) all_0_90_90 = e4
% 45.63/15.06  																																									|
% 45.63/15.06  																																										| Combining equations (750,583) yields a new equation:
% 45.63/15.06  																																										| (814) e4 = e1
% 45.63/15.06  																																										|
% 45.63/15.06  																																										| Equations (814) can reduce 256 to:
% 45.63/15.06  																																										| (311) $false
% 45.63/15.07  																																										|
% 45.63/15.07  																																										|-The branch is then unsatisfiable
% 45.63/15.07  																																									|-Branch two:
% 45.63/15.07  																																									| (467)  ~ (all_0_90_90 = e4)
% 45.63/15.07  																																									| (894) all_0_95_95 = e4
% 45.63/15.07  																																									|
% 45.63/15.07  																																										| Equations (894) can reduce 315 to:
% 45.63/15.07  																																										| (311) $false
% 45.63/15.07  																																										|
% 45.63/15.07  																																										|-The branch is then unsatisfiable
% 45.63/15.07  																																							|-Branch two:
% 45.63/15.07  																																							| (678)  ~ (all_0_90_90 = e1)
% 45.63/15.07  																																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.07  																																							|
% 45.63/15.07  																																								+-Applying beta-rule and splitting (1526), into two cases.
% 45.63/15.07  																																								|-Branch one:
% 45.63/15.07  																																								| (801) all_0_91_91 = e1
% 45.63/15.07  																																								|
% 45.63/15.07  																																									| Equations (801) can reduce 959 to:
% 45.63/15.07  																																									| (311) $false
% 45.63/15.07  																																									|
% 45.63/15.07  																																									|-The branch is then unsatisfiable
% 45.63/15.07  																																								|-Branch two:
% 45.63/15.07  																																								| (959)  ~ (all_0_91_91 = e1)
% 45.63/15.07  																																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.63/15.07  																																								|
% 45.63/15.07  																																									+-Applying beta-rule and splitting (1556), into two cases.
% 45.63/15.07  																																									|-Branch one:
% 45.63/15.07  																																									| (836) all_0_92_92 = e1
% 45.63/15.07  																																									|
% 45.63/15.07  																																										| Equations (836) can reduce 840 to:
% 45.63/15.07  																																										| (311) $false
% 45.63/15.07  																																										|
% 45.63/15.07  																																										|-The branch is then unsatisfiable
% 45.63/15.07  																																									|-Branch two:
% 45.63/15.07  																																									| (840)  ~ (all_0_92_92 = e1)
% 45.63/15.07  																																									| (566) all_0_93_93 = e1
% 45.63/15.07  																																									|
% 45.63/15.07  																																										| Equations (566) can reduce 481 to:
% 45.63/15.07  																																										| (311) $false
% 45.63/15.07  																																										|
% 45.63/15.07  																																										|-The branch is then unsatisfiable
% 45.63/15.07  																																|-Branch two:
% 45.63/15.07  																																| (793)  ~ (all_0_82_82 = e3)
% 45.63/15.07  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.63/15.07  																																|
% 45.63/15.07  																																	+-Applying beta-rule and splitting (2706), into two cases.
% 45.63/15.07  																																	|-Branch one:
% 45.63/15.07  																																	| (910) all_0_82_82 = e0
% 45.63/15.07  																																	|
% 45.63/15.07  																																		| Equations (910) can reduce 914 to:
% 45.63/15.07  																																		| (311) $false
% 45.63/15.07  																																		|
% 45.63/15.07  																																		|-The branch is then unsatisfiable
% 45.63/15.07  																																	|-Branch two:
% 45.63/15.07  																																	| (914)  ~ (all_0_82_82 = e0)
% 45.63/15.07  																																	| (469) all_0_82_82 = e4
% 45.63/15.07  																																	|
% 45.63/15.07  																																		| Equations (469) can reduce 465 to:
% 45.63/15.07  																																		| (311) $false
% 45.63/15.07  																																		|
% 45.63/15.07  																																		|-The branch is then unsatisfiable
% 45.63/15.07  																												|-Branch two:
% 45.63/15.07  																												| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.07  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.63/15.07  																												|
% 45.63/15.07  																													+-Applying beta-rule and splitting (249), into two cases.
% 45.63/15.07  																													|-Branch one:
% 45.63/15.07  																													| (910) all_0_82_82 = e0
% 45.63/15.07  																													|
% 45.63/15.07  																														| Equations (910) can reduce 914 to:
% 45.63/15.07  																														| (311) $false
% 45.63/15.07  																														|
% 45.63/15.07  																														|-The branch is then unsatisfiable
% 45.63/15.07  																													|-Branch two:
% 45.63/15.07  																													| (914)  ~ (all_0_82_82 = e0)
% 45.63/15.07  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.63/15.07  																													|
% 45.63/15.07  																														+-Applying beta-rule and splitting (920), into two cases.
% 45.63/15.07  																														|-Branch one:
% 45.63/15.07  																														| (861) all_0_87_87 = e0
% 45.63/15.07  																														|
% 45.63/15.07  																															| Combining equations (482,861) yields a new equation:
% 45.63/15.07  																															| (1107) e1 = e0
% 45.63/15.07  																															|
% 45.63/15.07  																															| Simplifying 1107 yields:
% 45.63/15.07  																															| (865) e1 = e0
% 45.63/15.07  																															|
% 45.63/15.07  																															| Equations (865) can reduce 264 to:
% 45.63/15.07  																															| (311) $false
% 45.63/15.07  																															|
% 45.63/15.07  																															|-The branch is then unsatisfiable
% 45.63/15.07  																														|-Branch two:
% 45.63/15.07  																														| (889)  ~ (all_0_87_87 = e0)
% 45.63/15.07  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.63/15.07  																														|
% 45.63/15.07  																															+-Applying beta-rule and splitting (1309), into two cases.
% 45.63/15.07  																															|-Branch one:
% 45.63/15.07  																															| (798) all_0_83_83 = e0
% 45.63/15.07  																															|
% 45.63/15.07  																																| Combining equations (798,453) yields a new equation:
% 45.63/15.07  																																| (379) e2 = e0
% 45.63/15.07  																																|
% 45.63/15.07  																																| Equations (379) can reduce 76 to:
% 45.63/15.07  																																| (311) $false
% 45.63/15.07  																																|
% 45.63/15.07  																																|-The branch is then unsatisfiable
% 45.63/15.07  																															|-Branch two:
% 45.63/15.07  																															| (1314)  ~ (all_0_83_83 = e0)
% 45.63/15.07  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.63/15.07  																															|
% 45.63/15.07  																																| Equations (453) can reduce 1314 to:
% 45.63/15.07  																																| (76)  ~ (e2 = e0)
% 45.63/15.07  																																|
% 45.63/15.07  																																+-Applying beta-rule and splitting (931), into two cases.
% 45.63/15.07  																																|-Branch one:
% 45.63/15.07  																																| (942) all_0_92_92 = e0
% 45.63/15.07  																																|
% 45.63/15.07  																																	| Equations (942) can reduce 87 to:
% 45.63/15.07  																																	| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.07  																																	|
% 45.63/15.07  																																	| Equations (942) can reduce 265 to:
% 45.63/15.07  																																	| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.07  																																	|
% 45.63/15.07  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 45.63/15.07  																																	|-Branch one:
% 45.63/15.07  																																	| (1456) all_0_91_91 = e0
% 45.63/15.07  																																	|
% 45.63/15.07  																																		| Equations (1456) can reduce 1487 to:
% 45.63/15.07  																																		| (311) $false
% 45.63/15.07  																																		|
% 45.63/15.07  																																		|-The branch is then unsatisfiable
% 45.63/15.07  																																	|-Branch two:
% 45.63/15.07  																																	| (1487)  ~ (all_0_91_91 = e0)
% 45.63/15.07  																																	| (1837) all_0_96_96 = e0
% 45.63/15.07  																																	|
% 45.63/15.07  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 45.63/15.07  																																		|-Branch one:
% 45.63/15.07  																																		| (916) all_0_84_84 = e0
% 45.63/15.07  																																		|
% 45.63/15.07  																																			| Equations (916) can reduce 919 to:
% 45.63/15.07  																																			| (311) $false
% 45.63/15.07  																																			|
% 45.63/15.07  																																			|-The branch is then unsatisfiable
% 45.63/15.07  																																		|-Branch two:
% 45.63/15.07  																																		| (919)  ~ (all_0_84_84 = e0)
% 45.63/15.07  																																		| (954) all_0_85_85 = e0
% 45.63/15.07  																																		|
% 45.63/15.07  																																			| Equations (954) can reduce 128 to:
% 45.63/15.07  																																			| (859)  ~ (e1 = e0)
% 45.63/15.07  																																			|
% 45.63/15.07  																																			| Simplifying 859 yields:
% 45.63/15.07  																																			| (264)  ~ (e1 = e0)
% 45.63/15.07  																																			|
% 45.63/15.07  																																			+-Applying beta-rule and splitting (285), into two cases.
% 45.63/15.07  																																			|-Branch one:
% 45.63/15.07  																																			| (1708) all_0_79_79 = e3
% 45.63/15.07  																																			|
% 45.63/15.07  																																				| Combining equations (1708,457) yields a new equation:
% 45.63/15.07  																																				| (825) e3 = e1
% 45.63/15.07  																																				|
% 45.63/15.07  																																				| Simplifying 825 yields:
% 45.63/15.07  																																				| (772) e3 = e1
% 45.63/15.07  																																				|
% 45.63/15.07  																																				| Equations (772) can reduce 20 to:
% 45.63/15.07  																																				| (311) $false
% 45.63/15.07  																																				|
% 45.63/15.07  																																				|-The branch is then unsatisfiable
% 45.63/15.07  																																			|-Branch two:
% 45.63/15.07  																																			| (1711)  ~ (all_0_79_79 = e3)
% 45.63/15.07  																																			| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.63/15.07  																																			|
% 45.63/15.07  																																				+-Applying beta-rule and splitting (1712), into two cases.
% 45.63/15.07  																																				|-Branch one:
% 45.63/15.07  																																				| (795) all_0_83_83 = e3
% 45.63/15.07  																																				|
% 45.63/15.07  																																					| Combining equations (453,795) yields a new equation:
% 45.63/15.07  																																					| (548) e3 = e2
% 45.63/15.07  																																					|
% 45.63/15.07  																																					| Equations (548) can reduce 169 to:
% 45.63/15.07  																																					| (311) $false
% 45.63/15.07  																																					|
% 45.63/15.07  																																					|-The branch is then unsatisfiable
% 45.63/15.07  																																				|-Branch two:
% 45.63/15.07  																																				| (779)  ~ (all_0_83_83 = e3)
% 45.63/15.07  																																				| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 45.63/15.07  																																				|
% 45.63/15.07  																																					+-Applying beta-rule and splitting (1842), into two cases.
% 45.63/15.07  																																					|-Branch one:
% 45.63/15.07  																																					| (588) all_0_91_91 = e3
% 45.63/15.07  																																					|
% 45.63/15.07  																																						| From (588) and (1703) follows:
% 45.63/15.07  																																						| (1844) op(e2, e3) = e1
% 45.63/15.07  																																						|
% 45.63/15.07  																																						| Instantiating formula (262) with e2, e3, e1, e0 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 45.63/15.07  																																						| (865) e1 = e0
% 45.63/15.07  																																						|
% 45.63/15.07  																																						| Equations (865) can reduce 264 to:
% 45.63/15.07  																																						| (311) $false
% 45.63/15.07  																																						|
% 45.63/15.07  																																						|-The branch is then unsatisfiable
% 45.63/15.07  																																					|-Branch two:
% 45.63/15.07  																																					| (571)  ~ (all_0_91_91 = e3)
% 45.63/15.07  																																					| (778) all_0_96_96 = e3
% 45.63/15.07  																																					|
% 45.63/15.07  																																						| Combining equations (1837,778) yields a new equation:
% 45.63/15.07  																																						| (600) e3 = e0
% 45.63/15.07  																																						|
% 45.63/15.07  																																						| Equations (600) can reduce 50 to:
% 45.63/15.07  																																						| (311) $false
% 45.63/15.07  																																						|
% 45.63/15.07  																																						|-The branch is then unsatisfiable
% 45.63/15.07  																																|-Branch two:
% 45.63/15.07  																																| (946)  ~ (all_0_92_92 = e0)
% 45.63/15.07  																																| (560) all_0_97_97 = e0
% 45.63/15.07  																																|
% 45.63/15.07  																																	| Combining equations (538,560) yields a new equation:
% 45.63/15.07  																																	| (923) e2 = e0
% 45.63/15.07  																																	|
% 45.63/15.07  																																	| Simplifying 923 yields:
% 45.63/15.07  																																	| (379) e2 = e0
% 45.63/15.07  																																	|
% 45.63/15.07  																																	| Equations (379) can reduce 76 to:
% 45.63/15.07  																																	| (311) $false
% 45.63/15.07  																																	|
% 45.63/15.07  																																	|-The branch is then unsatisfiable
% 45.63/15.07  																						|-Branch two:
% 45.63/15.07  																						| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.63/15.07  																						|
% 45.63/15.07  																							| Applying alpha-rule on (4957) yields:
% 45.63/15.07  																							| (4958) all_0_58_58 = e0
% 45.69/15.07  																							| (4959)  ~ (all_0_59_59 = e2)
% 45.69/15.07  																							|
% 45.69/15.07  																							| From (4958) and (212) follows:
% 45.69/15.07  																							| (4960) op(e2, all_0_96_96) = e0
% 45.69/15.07  																							|
% 45.69/15.07  																							+-Applying beta-rule and splitting (106), into two cases.
% 45.69/15.07  																							|-Branch one:
% 45.69/15.07  																							| (771) all_0_78_78 = e3
% 45.69/15.07  																							|
% 45.69/15.07  																								| Combining equations (400,771) yields a new equation:
% 45.69/15.07  																								| (548) e3 = e2
% 45.69/15.07  																								|
% 45.69/15.07  																								| Equations (548) can reduce 169 to:
% 45.69/15.07  																								| (311) $false
% 45.69/15.07  																								|
% 45.69/15.07  																								|-The branch is then unsatisfiable
% 45.69/15.07  																							|-Branch two:
% 45.69/15.07  																							| (418)  ~ (all_0_78_78 = e3)
% 45.69/15.07  																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 45.69/15.07  																							|
% 45.69/15.07  																								+-Applying beta-rule and splitting (45), into two cases.
% 45.69/15.07  																								|-Branch one:
% 45.69/15.07  																								| (546) all_0_80_80 = e2
% 45.69/15.07  																								|
% 45.69/15.07  																									| Equations (546) can reduce 394 to:
% 45.69/15.07  																									| (311) $false
% 45.69/15.07  																									|
% 45.69/15.07  																									|-The branch is then unsatisfiable
% 45.69/15.07  																								|-Branch two:
% 45.69/15.07  																								| (394)  ~ (all_0_80_80 = e2)
% 45.69/15.07  																								| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 45.69/15.07  																								|
% 45.69/15.07  																									+-Applying beta-rule and splitting (84), into two cases.
% 45.69/15.07  																									|-Branch one:
% 45.69/15.07  																									| (1704) all_0_96_96 = e2
% 45.69/15.07  																									|
% 45.69/15.07  																										| Equations (1704) can reduce 1638 to:
% 45.69/15.07  																										| (311) $false
% 45.69/15.07  																										|
% 45.69/15.07  																										|-The branch is then unsatisfiable
% 45.69/15.07  																									|-Branch two:
% 45.69/15.07  																									| (1638)  ~ (all_0_96_96 = e2)
% 45.69/15.07  																									| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.69/15.07  																									|
% 45.69/15.07  																										+-Applying beta-rule and splitting (108), into two cases.
% 45.69/15.07  																										|-Branch one:
% 45.69/15.07  																										| (477) all_0_81_81 = e1
% 45.69/15.07  																										|
% 45.69/15.07  																											| Equations (477) can reduce 628 to:
% 45.69/15.07  																											| (311) $false
% 45.69/15.07  																											|
% 45.69/15.07  																											|-The branch is then unsatisfiable
% 45.69/15.07  																										|-Branch two:
% 45.69/15.07  																										| (628)  ~ (all_0_81_81 = e1)
% 45.69/15.07  																										| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 45.69/15.07  																										|
% 45.69/15.07  																											+-Applying beta-rule and splitting (2), into two cases.
% 45.69/15.07  																											|-Branch one:
% 45.69/15.07  																											| (916) all_0_84_84 = e0
% 45.69/15.07  																											|
% 45.69/15.07  																												| Equations (916) can reduce 7 to:
% 45.69/15.07  																												| (914)  ~ (all_0_82_82 = e0)
% 45.69/15.07  																												|
% 45.69/15.07  																												| Equations (916) can reduce 154 to:
% 45.69/15.07  																												| (799)  ~ (all_0_85_85 = e0)
% 45.69/15.07  																												|
% 45.69/15.07  																												| Simplifying 799 yields:
% 45.69/15.07  																												| (800)  ~ (all_0_85_85 = e0)
% 45.69/15.07  																												|
% 45.69/15.07  																												| Equations (916) can reduce 87 to:
% 45.69/15.07  																												| (2299)  ~ (all_0_92_92 = e0)
% 45.69/15.07  																												|
% 45.69/15.07  																												| Simplifying 2299 yields:
% 45.69/15.07  																												| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.07  																												|
% 45.69/15.07  																												| From (916) and (122) follows:
% 45.69/15.07  																												| (1321) op(e1, e0) = all_0_62_62
% 45.69/15.07  																												|
% 45.69/15.07  																												| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 45.69/15.07  																												| (1367) all_0_62_62 = all_0_93_93
% 45.69/15.07  																												|
% 45.69/15.07  																												+-Applying beta-rule and splitting (109), into two cases.
% 45.69/15.07  																												|-Branch one:
% 45.69/15.07  																												| (469) all_0_82_82 = e4
% 45.69/15.07  																												|
% 45.69/15.07  																													| Equations (469) can reduce 209 to:
% 45.69/15.07  																													| (647)  ~ (all_0_85_85 = e4)
% 45.69/15.07  																													|
% 45.69/15.07  																													| Simplifying 647 yields:
% 45.69/15.07  																													| (648)  ~ (all_0_85_85 = e4)
% 45.69/15.07  																													|
% 45.69/15.07  																													| Equations (469) can reduce 255 to:
% 45.69/15.07  																													| (466)  ~ (all_0_90_90 = e4)
% 45.69/15.07  																													|
% 45.69/15.07  																													| Simplifying 466 yields:
% 45.69/15.07  																													| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.07  																													|
% 45.69/15.07  																													+-Applying beta-rule and splitting (182), into two cases.
% 45.69/15.07  																													|-Branch one:
% 45.69/15.07  																													| (512) all_0_85_85 = e2
% 45.69/15.07  																													|
% 45.69/15.07  																														| Equations (512) can reduce 515 to:
% 45.69/15.07  																														| (311) $false
% 45.69/15.07  																														|
% 45.69/15.07  																														|-The branch is then unsatisfiable
% 45.69/15.07  																													|-Branch two:
% 45.69/15.07  																													| (515)  ~ (all_0_85_85 = e2)
% 45.69/15.07  																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.69/15.07  																													|
% 45.69/15.07  																														+-Applying beta-rule and splitting (725), into two cases.
% 45.69/15.07  																														|-Branch one:
% 45.69/15.07  																														| (804) all_0_85_85 = e3
% 45.69/15.07  																														|
% 45.69/15.07  																															| Equations (804) can reduce 118 to:
% 45.69/15.07  																															| (420)  ~ (all_0_81_81 = e3)
% 45.69/15.07  																															|
% 45.69/15.07  																															| Equations (804) can reduce 201 to:
% 45.69/15.07  																															| (807)  ~ (all_0_93_93 = e3)
% 45.69/15.07  																															|
% 45.69/15.07  																															| Simplifying 807 yields:
% 45.69/15.07  																															| (602)  ~ (all_0_93_93 = e3)
% 45.69/15.07  																															|
% 45.69/15.07  																															| Equations (804) can reduce 648 to:
% 45.69/15.07  																															| (783)  ~ (e4 = e3)
% 45.69/15.07  																															|
% 45.69/15.07  																															| Simplifying 783 yields:
% 45.69/15.07  																															| (177)  ~ (e4 = e3)
% 45.69/15.07  																															|
% 45.69/15.07  																															| Equations (804) can reduce 128 to:
% 45.69/15.07  																															| (20)  ~ (e3 = e1)
% 45.69/15.07  																															|
% 45.69/15.07  																															| From (804) and (26) follows:
% 45.69/15.07  																															| (1891) op(e0, e3) = all_0_71_71
% 45.69/15.07  																															|
% 45.69/15.07  																															+-Applying beta-rule and splitting (1756), into two cases.
% 45.69/15.07  																															|-Branch one:
% 45.69/15.07  																															| (1708) all_0_79_79 = e3
% 45.69/15.07  																															|
% 45.69/15.07  																																| Combining equations (457,1708) yields a new equation:
% 45.69/15.07  																																| (772) e3 = e1
% 45.69/15.07  																																|
% 45.69/15.07  																																| Equations (772) can reduce 20 to:
% 45.69/15.07  																																| (311) $false
% 45.69/15.07  																																|
% 45.69/15.07  																																|-The branch is then unsatisfiable
% 45.69/15.07  																															|-Branch two:
% 45.69/15.07  																															| (1711)  ~ (all_0_79_79 = e3)
% 45.69/15.07  																															| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 45.69/15.07  																															|
% 45.69/15.07  																																+-Applying beta-rule and splitting (123), into two cases.
% 45.69/15.07  																																|-Branch one:
% 45.69/15.07  																																| (473) all_0_81_81 = e2
% 45.69/15.07  																																|
% 45.69/15.07  																																	| Equations (473) can reduce 396 to:
% 45.69/15.07  																																	| (311) $false
% 45.69/15.07  																																	|
% 45.69/15.07  																																	|-The branch is then unsatisfiable
% 45.69/15.07  																																|-Branch two:
% 45.69/15.07  																																| (396)  ~ (all_0_81_81 = e2)
% 45.69/15.07  																																| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.69/15.07  																																|
% 45.69/15.08  																																	+-Applying beta-rule and splitting (1768), into two cases.
% 45.69/15.08  																																	|-Branch one:
% 45.69/15.08  																																	| (416) all_0_80_80 = e3
% 45.69/15.08  																																	|
% 45.69/15.08  																																		| Equations (416) can reduce 394 to:
% 45.69/15.08  																																		| (169)  ~ (e3 = e2)
% 45.69/15.08  																																		|
% 45.69/15.08  																																		| Equations (416) can reduce 828 to:
% 45.69/15.08  																																		| (20)  ~ (e3 = e1)
% 45.69/15.08  																																		|
% 45.69/15.08  																																		| From (416) and (233) follows:
% 45.69/15.08  																																		| (432) op(e1, e3) = all_0_60_60
% 45.69/15.08  																																		|
% 45.69/15.08  																																		+-Applying beta-rule and splitting (641), into two cases.
% 45.69/15.08  																																		|-Branch one:
% 45.69/15.08  																																		| (433) all_0_80_80 = e4
% 45.69/15.08  																																		|
% 45.69/15.08  																																			| Combining equations (416,433) yields a new equation:
% 45.69/15.08  																																			| (434) e4 = e3
% 45.69/15.08  																																			|
% 45.69/15.08  																																			| Equations (434) can reduce 177 to:
% 45.69/15.08  																																			| (311) $false
% 45.69/15.08  																																			|
% 45.69/15.08  																																			|-The branch is then unsatisfiable
% 45.69/15.08  																																		|-Branch two:
% 45.69/15.08  																																		| (436)  ~ (all_0_80_80 = e4)
% 45.69/15.08  																																		| (638) all_0_81_81 = e4
% 45.69/15.08  																																		|
% 45.69/15.08  																																			| Equations (638) can reduce 277 to:
% 45.69/15.08  																																			| (495)  ~ (all_0_93_93 = e4)
% 45.69/15.08  																																			|
% 45.69/15.08  																																			| Simplifying 495 yields:
% 45.69/15.08  																																			| (496)  ~ (all_0_93_93 = e4)
% 45.69/15.08  																																			|
% 45.69/15.08  																																			| Equations (638) can reduce 396 to:
% 45.69/15.08  																																			| (79)  ~ (e4 = e2)
% 45.69/15.08  																																			|
% 45.69/15.08  																																			| From (638) and (68) follows:
% 45.69/15.08  																																			| (657) op(e4, e4) = all_0_70_70
% 45.69/15.08  																																			|
% 45.69/15.08  																																			+-Applying beta-rule and splitting (46), into two cases.
% 45.69/15.08  																																			|-Branch one:
% 45.69/15.08  																																			| (308) all_0_89_89 = e4
% 45.69/15.08  																																			|
% 45.69/15.08  																																				| Combining equations (292,308) yields a new equation:
% 45.69/15.08  																																				| (310) e4 = e2
% 45.69/15.08  																																				|
% 45.69/15.08  																																				| Equations (310) can reduce 79 to:
% 45.69/15.08  																																				| (311) $false
% 45.69/15.08  																																				|
% 45.69/15.08  																																				|-The branch is then unsatisfiable
% 45.69/15.08  																																			|-Branch two:
% 45.69/15.08  																																			| (312)  ~ (all_0_89_89 = e4)
% 45.69/15.08  																																			| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.69/15.08  																																			|
% 45.69/15.08  																																				+-Applying beta-rule and splitting (1915), into two cases.
% 45.69/15.08  																																				|-Branch one:
% 45.69/15.08  																																				| (583) all_0_90_90 = e4
% 45.69/15.08  																																				|
% 45.69/15.08  																																					| Equations (583) can reduce 467 to:
% 45.69/15.08  																																					| (311) $false
% 45.69/15.08  																																					|
% 45.69/15.08  																																					|-The branch is then unsatisfiable
% 45.69/15.08  																																				|-Branch two:
% 45.69/15.08  																																				| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.08  																																				| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 45.69/15.08  																																				|
% 45.69/15.08  																																					+-Applying beta-rule and splitting (1928), into two cases.
% 45.69/15.08  																																					|-Branch one:
% 45.69/15.08  																																					| (442) all_0_92_92 = e4
% 45.69/15.08  																																					|
% 45.69/15.08  																																						| Combining equations (442,5478) yields a new equation:
% 45.69/15.08  																																						| (575) all_0_64_64 = e4
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Equations (442) can reduce 72 to:
% 45.69/15.08  																																						| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Equations (442) can reduce 298 to:
% 45.69/15.08  																																						| (79)  ~ (e4 = e2)
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Equations (442) can reduce 840 to:
% 45.69/15.08  																																						| (256)  ~ (e4 = e1)
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Instantiating formula (262) with e4, e4, all_0_70_70, e0 and discharging atoms op(e4, e4) = all_0_70_70, op(e4, e4) = e0, yields:
% 45.69/15.08  																																						| (686) all_0_70_70 = e0
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 45.69/15.08  																																						| (451) all_0_60_60 = all_0_90_90
% 45.69/15.08  																																						|
% 45.69/15.08  																																						| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 45.69/15.08  																																						| (14316) all_0_71_71 = all_0_95_95
% 45.69/15.08  																																						|
% 45.69/15.08  																																						+-Applying beta-rule and splitting (276), into two cases.
% 45.69/15.08  																																						|-Branch one:
% 45.69/15.08  																																						| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.69/15.08  																																						|
% 45.69/15.08  																																							+-Applying beta-rule and splitting (577), into two cases.
% 45.69/15.08  																																							|-Branch one:
% 45.69/15.08  																																							| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.69/15.08  																																							|
% 45.69/15.08  																																								+-Applying beta-rule and splitting (578), into two cases.
% 45.69/15.08  																																								|-Branch one:
% 45.69/15.08  																																								| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.69/15.08  																																								|
% 45.69/15.08  																																									| Applying alpha-rule on (579) yields:
% 45.69/15.08  																																									| (580) all_0_60_60 = e4
% 45.69/15.08  																																									| (581)  ~ (all_0_61_61 = e1)
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Combining equations (580,451) yields a new equation:
% 45.69/15.08  																																									| (583) all_0_90_90 = e4
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Equations (583) can reduce 467 to:
% 45.69/15.08  																																									| (311) $false
% 45.69/15.08  																																									|
% 45.69/15.08  																																									|-The branch is then unsatisfiable
% 45.69/15.08  																																								|-Branch two:
% 45.69/15.08  																																								| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.69/15.08  																																								|
% 45.69/15.08  																																									| Applying alpha-rule on (585) yields:
% 45.69/15.08  																																									| (586) all_0_62_62 = e3
% 45.69/15.08  																																									| (587)  ~ (all_0_63_63 = e1)
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Combining equations (586,1367) yields a new equation:
% 45.69/15.08  																																									| (570) all_0_93_93 = e3
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Equations (570) can reduce 602 to:
% 45.69/15.08  																																									| (311) $false
% 45.69/15.08  																																									|
% 45.69/15.08  																																									|-The branch is then unsatisfiable
% 45.69/15.08  																																							|-Branch two:
% 45.69/15.08  																																							| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.69/15.08  																																							|
% 45.69/15.08  																																								| Applying alpha-rule on (590) yields:
% 45.69/15.08  																																								| (591) all_0_64_64 = e2
% 45.69/15.08  																																								| (592)  ~ (all_0_65_65 = e1)
% 45.69/15.08  																																								|
% 45.69/15.08  																																								| Combining equations (591,575) yields a new equation:
% 45.69/15.08  																																								| (310) e4 = e2
% 45.69/15.08  																																								|
% 45.69/15.08  																																								| Equations (310) can reduce 79 to:
% 45.69/15.08  																																								| (311) $false
% 45.69/15.08  																																								|
% 45.69/15.08  																																								|-The branch is then unsatisfiable
% 45.69/15.08  																																						|-Branch two:
% 45.69/15.08  																																						| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.69/15.08  																																						|
% 45.69/15.08  																																							| Applying alpha-rule on (596) yields:
% 45.69/15.08  																																							| (597) all_0_67_67 = e0
% 45.69/15.08  																																							| (598)  ~ (all_0_68_68 = e1)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Combining equations (597,4077) yields a new equation:
% 45.69/15.08  																																							| (1456) all_0_91_91 = e0
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Equations (1368) can reduce 598 to:
% 45.69/15.08  																																							| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Equations (1456) can reduce 64 to:
% 45.69/15.08  																																							| (2296)  ~ (all_0_96_96 = e0)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Simplifying 2296 yields:
% 45.69/15.08  																																							| (2095)  ~ (all_0_96_96 = e0)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Equations (1456) can reduce 959 to:
% 45.69/15.08  																																							| (859)  ~ (e1 = e0)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							| Simplifying 859 yields:
% 45.69/15.08  																																							| (264)  ~ (e1 = e0)
% 45.69/15.08  																																							|
% 45.69/15.08  																																							+-Applying beta-rule and splitting (1707), into two cases.
% 45.69/15.08  																																							|-Branch one:
% 45.69/15.08  																																							| (960) all_0_96_96 = e1
% 45.69/15.08  																																							|
% 45.69/15.08  																																								| Equations (960) can reduce 1479 to:
% 45.69/15.08  																																								| (311) $false
% 45.69/15.08  																																								|
% 45.69/15.08  																																								|-The branch is then unsatisfiable
% 45.69/15.08  																																							|-Branch two:
% 45.69/15.08  																																							| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.08  																																							| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.69/15.08  																																							|
% 45.69/15.08  																																								+-Applying beta-rule and splitting (285), into two cases.
% 45.69/15.08  																																								|-Branch one:
% 45.69/15.08  																																								| (1708) all_0_79_79 = e3
% 45.69/15.08  																																								|
% 45.69/15.08  																																									| Combining equations (457,1708) yields a new equation:
% 45.69/15.08  																																									| (772) e3 = e1
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Equations (772) can reduce 20 to:
% 45.69/15.08  																																									| (311) $false
% 45.69/15.08  																																									|
% 45.69/15.08  																																									|-The branch is then unsatisfiable
% 45.69/15.08  																																								|-Branch two:
% 45.69/15.08  																																								| (1711)  ~ (all_0_79_79 = e3)
% 45.69/15.08  																																								| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.69/15.08  																																								|
% 45.69/15.08  																																									| Equations (457) can reduce 1711 to:
% 45.69/15.08  																																									| (683)  ~ (e3 = e1)
% 45.69/15.08  																																									|
% 45.69/15.08  																																									| Simplifying 683 yields:
% 45.69/15.08  																																									| (20)  ~ (e3 = e1)
% 45.69/15.08  																																									|
% 45.69/15.08  																																									+-Applying beta-rule and splitting (282), into two cases.
% 45.69/15.08  																																									|-Branch one:
% 45.69/15.08  																																									| (754) all_0_90_90 = e3
% 45.69/15.08  																																									|
% 45.69/15.08  																																										| Equations (754) can reduce 229 to:
% 45.69/15.08  																																										| (1070)  ~ (all_0_95_95 = e3)
% 45.69/15.08  																																										|
% 45.69/15.08  																																										| Simplifying 1070 yields:
% 45.69/15.08  																																										| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.08  																																										|
% 45.69/15.08  																																										+-Applying beta-rule and splitting (132), into two cases.
% 45.69/15.08  																																										|-Branch one:
% 45.69/15.08  																																										| (750) all_0_90_90 = e1
% 45.69/15.08  																																										|
% 45.69/15.08  																																											| Combining equations (754,750) yields a new equation:
% 45.69/15.08  																																											| (825) e3 = e1
% 45.69/15.08  																																											|
% 45.69/15.08  																																											| Simplifying 825 yields:
% 45.69/15.08  																																											| (772) e3 = e1
% 45.69/15.08  																																											|
% 45.69/15.08  																																											| Equations (772) can reduce 20 to:
% 45.69/15.08  																																											| (311) $false
% 45.69/15.08  																																											|
% 45.69/15.08  																																											|-The branch is then unsatisfiable
% 45.69/15.08  																																										|-Branch two:
% 45.69/15.08  																																										| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.08  																																										| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.08  																																										|
% 45.69/15.08  																																											+-Applying beta-rule and splitting (1526), into two cases.
% 45.69/15.08  																																											|-Branch one:
% 45.69/15.08  																																											| (801) all_0_91_91 = e1
% 45.69/15.08  																																											|
% 45.69/15.08  																																												| Combining equations (1456,801) yields a new equation:
% 45.69/15.08  																																												| (865) e1 = e0
% 45.69/15.08  																																												|
% 45.69/15.08  																																												| Equations (865) can reduce 264 to:
% 45.69/15.08  																																												| (311) $false
% 45.69/15.08  																																												|
% 45.69/15.08  																																												|-The branch is then unsatisfiable
% 45.69/15.08  																																											|-Branch two:
% 45.69/15.08  																																											| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.08  																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.08  																																											|
% 45.69/15.08  																																												+-Applying beta-rule and splitting (89), into two cases.
% 45.69/15.08  																																												|-Branch one:
% 45.69/15.08  																																												| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.69/15.08  																																												|
% 45.69/15.08  																																													+-Applying beta-rule and splitting (1373), into two cases.
% 45.69/15.08  																																													|-Branch one:
% 45.69/15.08  																																													| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.69/15.08  																																													|
% 45.69/15.08  																																														+-Applying beta-rule and splitting (1374), into two cases.
% 45.69/15.08  																																														|-Branch one:
% 45.69/15.08  																																														| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.69/15.08  																																														|
% 45.69/15.08  																																															| Applying alpha-rule on (1375) yields:
% 45.69/15.08  																																															| (1376) all_0_69_69 = e4
% 45.69/15.08  																																															| (1377)  ~ (all_0_70_70 = e0)
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| Equations (686) can reduce 1377 to:
% 45.69/15.08  																																															| (311) $false
% 45.69/15.08  																																															|
% 45.69/15.08  																																															|-The branch is then unsatisfiable
% 45.69/15.08  																																														|-Branch two:
% 45.69/15.08  																																														| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.69/15.08  																																														|
% 45.69/15.08  																																															| Applying alpha-rule on (1379) yields:
% 45.69/15.08  																																															| (1380) all_0_71_71 = e3
% 45.69/15.08  																																															| (1381)  ~ (all_0_72_72 = e0)
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| Combining equations (1380,14316) yields a new equation:
% 45.69/15.08  																																															| (744) all_0_95_95 = e3
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| Equations (744) can reduce 765 to:
% 45.69/15.08  																																															| (311) $false
% 45.69/15.08  																																															|
% 45.69/15.08  																																															|-The branch is then unsatisfiable
% 45.69/15.08  																																													|-Branch two:
% 45.69/15.08  																																													| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.69/15.08  																																													|
% 45.69/15.08  																																														| Applying alpha-rule on (1385) yields:
% 45.69/15.08  																																														| (1386) all_0_73_73 = e2
% 45.69/15.08  																																														| (1387)  ~ (all_0_74_74 = e0)
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Combining equations (1386,18823) yields a new equation:
% 45.69/15.08  																																														| (1704) all_0_96_96 = e2
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Equations (1704) can reduce 1638 to:
% 45.69/15.08  																																														| (311) $false
% 45.69/15.08  																																														|
% 45.69/15.08  																																														|-The branch is then unsatisfiable
% 45.69/15.08  																																												|-Branch two:
% 45.69/15.08  																																												| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.69/15.08  																																												|
% 45.69/15.08  																																													| Applying alpha-rule on (1391) yields:
% 45.69/15.08  																																													| (1392) all_0_75_75 = e1
% 45.69/15.08  																																													| (1393)  ~ (all_0_76_76 = e0)
% 45.69/15.08  																																													|
% 45.69/15.08  																																													| From (1392) and (173) follows:
% 45.69/15.08  																																													| (1394) op(e0, all_0_93_93) = e1
% 45.69/15.08  																																													|
% 45.69/15.08  																																													+-Applying beta-rule and splitting (1556), into two cases.
% 45.69/15.08  																																													|-Branch one:
% 45.69/15.08  																																													| (836) all_0_92_92 = e1
% 45.69/15.08  																																													|
% 45.69/15.08  																																														| Combining equations (442,836) yields a new equation:
% 45.69/15.08  																																														| (813) e4 = e1
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Simplifying 813 yields:
% 45.69/15.08  																																														| (814) e4 = e1
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Equations (814) can reduce 256 to:
% 45.69/15.08  																																														| (311) $false
% 45.69/15.08  																																														|
% 45.69/15.08  																																														|-The branch is then unsatisfiable
% 45.69/15.08  																																													|-Branch two:
% 45.69/15.08  																																													| (840)  ~ (all_0_92_92 = e1)
% 45.69/15.08  																																													| (566) all_0_93_93 = e1
% 45.69/15.08  																																													|
% 45.69/15.08  																																														| Equations (566) can reduce 13 to:
% 45.69/15.08  																																														| (1803)  ~ (all_0_98_98 = e1)
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Simplifying 1803 yields:
% 45.69/15.08  																																														| (1804)  ~ (all_0_98_98 = e1)
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Equations (566) can reduce 300 to:
% 45.69/15.08  																																														| (487)  ~ (e2 = e1)
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| Simplifying 487 yields:
% 45.69/15.08  																																														| (243)  ~ (e2 = e1)
% 45.69/15.08  																																														|
% 45.69/15.08  																																														| From (566) and (1394) follows:
% 45.69/15.08  																																														| (2475) op(e0, e1) = e1
% 45.69/15.08  																																														|
% 45.69/15.08  																																														+-Applying beta-rule and splitting (176), into two cases.
% 45.69/15.08  																																														|-Branch one:
% 45.69/15.08  																																														| (785) all_0_95_95 = e1
% 45.69/15.08  																																														|
% 45.69/15.08  																																															| Equations (785) can reduce 355 to:
% 45.69/15.08  																																															| (487)  ~ (e2 = e1)
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| Simplifying 487 yields:
% 45.69/15.08  																																															| (243)  ~ (e2 = e1)
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| From (785) and (280) follows:
% 45.69/15.08  																																															| (13196) op(e0, e1) = all_0_51_51
% 45.69/15.08  																																															|
% 45.69/15.08  																																															| Instantiating formula (262) with e0, e1, all_0_51_51, e2 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e2, yields:
% 45.69/15.09  																																															| (27448) all_0_51_51 = e2
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Instantiating formula (262) with e0, e1, e1, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e1, yields:
% 45.69/15.09  																																															| (1552) all_0_51_51 = e1
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Combining equations (27448,1552) yields a new equation:
% 45.69/15.09  																																															| (408) e2 = e1
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Simplifying 408 yields:
% 45.69/15.09  																																															| (385) e2 = e1
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Equations (385) can reduce 243 to:
% 45.69/15.09  																																															| (311) $false
% 45.69/15.09  																																															|
% 45.69/15.09  																																															|-The branch is then unsatisfiable
% 45.69/15.09  																																														|-Branch two:
% 45.69/15.09  																																														| (680)  ~ (all_0_95_95 = e1)
% 45.69/15.09  																																														| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.69/15.09  																																														|
% 45.69/15.09  																																															+-Applying beta-rule and splitting (788), into two cases.
% 45.69/15.09  																																															|-Branch one:
% 45.69/15.09  																																															| (960) all_0_96_96 = e1
% 45.69/15.09  																																															|
% 45.69/15.09  																																																| Equations (960) can reduce 1479 to:
% 45.69/15.09  																																																| (311) $false
% 45.69/15.09  																																																|
% 45.69/15.09  																																																|-The branch is then unsatisfiable
% 45.69/15.09  																																															|-Branch two:
% 45.69/15.09  																																															| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.09  																																															| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.69/15.09  																																															|
% 45.69/15.09  																																																+-Applying beta-rule and splitting (2126), into two cases.
% 45.69/15.09  																																																|-Branch one:
% 45.69/15.09  																																																| (542) all_0_97_97 = e1
% 45.69/15.09  																																																|
% 45.69/15.09  																																																	| Combining equations (538,542) yields a new equation:
% 45.69/15.09  																																																	| (408) e2 = e1
% 45.69/15.09  																																																	|
% 45.69/15.09  																																																	| Simplifying 408 yields:
% 45.69/15.09  																																																	| (385) e2 = e1
% 45.69/15.09  																																																	|
% 45.69/15.09  																																																	| Equations (385) can reduce 243 to:
% 45.69/15.09  																																																	| (311) $false
% 45.69/15.09  																																																	|
% 45.69/15.09  																																																	|-The branch is then unsatisfiable
% 45.69/15.09  																																																|-Branch two:
% 45.69/15.09  																																																| (486)  ~ (all_0_97_97 = e1)
% 45.69/15.09  																																																| (1543) all_0_98_98 = e1
% 45.69/15.09  																																																|
% 45.69/15.09  																																																	| Equations (1543) can reduce 1804 to:
% 45.69/15.09  																																																	| (311) $false
% 45.69/15.09  																																																	|
% 45.69/15.09  																																																	|-The branch is then unsatisfiable
% 45.69/15.09  																																									|-Branch two:
% 45.69/15.09  																																									| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.09  																																									| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.09  																																									|
% 45.69/15.09  																																										+-Applying beta-rule and splitting (220), into two cases.
% 45.69/15.09  																																										|-Branch one:
% 45.69/15.09  																																										| (771) all_0_78_78 = e3
% 45.69/15.09  																																										|
% 45.69/15.09  																																											| Combining equations (400,771) yields a new equation:
% 45.69/15.09  																																											| (548) e3 = e2
% 45.69/15.09  																																											|
% 45.69/15.09  																																											| Equations (548) can reduce 169 to:
% 45.69/15.09  																																											| (311) $false
% 45.69/15.09  																																											|
% 45.69/15.09  																																											|-The branch is then unsatisfiable
% 45.69/15.09  																																										|-Branch two:
% 45.69/15.09  																																										| (418)  ~ (all_0_78_78 = e3)
% 45.69/15.09  																																										| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.69/15.09  																																										|
% 45.69/15.09  																																											+-Applying beta-rule and splitting (2016), into two cases.
% 45.69/15.09  																																											|-Branch one:
% 45.69/15.09  																																											| (778) all_0_96_96 = e3
% 45.69/15.09  																																											|
% 45.69/15.09  																																												| Equations (778) can reduce 115 to:
% 45.69/15.09  																																												| (783)  ~ (e4 = e3)
% 45.69/15.09  																																												|
% 45.69/15.09  																																												| Simplifying 783 yields:
% 45.69/15.09  																																												| (177)  ~ (e4 = e3)
% 45.69/15.09  																																												|
% 45.69/15.09  																																												| Equations (778) can reduce 2095 to:
% 45.69/15.09  																																												| (50)  ~ (e3 = e0)
% 45.69/15.09  																																												|
% 45.69/15.09  																																												+-Applying beta-rule and splitting (849), into two cases.
% 45.69/15.09  																																												|-Branch one:
% 45.69/15.09  																																												| (588) all_0_91_91 = e3
% 45.69/15.09  																																												|
% 45.69/15.09  																																													| Combining equations (1456,588) yields a new equation:
% 45.69/15.09  																																													| (600) e3 = e0
% 45.69/15.09  																																													|
% 45.69/15.09  																																													| Equations (600) can reduce 50 to:
% 45.69/15.09  																																													| (311) $false
% 45.69/15.09  																																													|
% 45.69/15.09  																																													|-The branch is then unsatisfiable
% 45.69/15.09  																																												|-Branch two:
% 45.69/15.09  																																												| (571)  ~ (all_0_91_91 = e3)
% 45.69/15.09  																																												| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.09  																																												|
% 45.69/15.09  																																													+-Applying beta-rule and splitting (775), into two cases.
% 45.69/15.09  																																													|-Branch one:
% 45.69/15.09  																																													| (789) all_0_82_82 = e3
% 45.69/15.09  																																													|
% 45.69/15.09  																																														| Combining equations (469,789) yields a new equation:
% 45.69/15.09  																																														| (790) e4 = e3
% 45.69/15.09  																																														|
% 45.69/15.09  																																														| Simplifying 790 yields:
% 45.69/15.09  																																														| (434) e4 = e3
% 45.69/15.09  																																														|
% 45.69/15.09  																																														| Equations (434) can reduce 177 to:
% 45.69/15.09  																																														| (311) $false
% 45.69/15.09  																																														|
% 45.69/15.09  																																														|-The branch is then unsatisfiable
% 45.69/15.09  																																													|-Branch two:
% 45.69/15.09  																																													| (793)  ~ (all_0_82_82 = e3)
% 45.69/15.09  																																													| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 45.69/15.09  																																													|
% 45.69/15.09  																																														| Equations (469) can reduce 793 to:
% 45.69/15.09  																																														| (177)  ~ (e4 = e3)
% 45.69/15.09  																																														|
% 45.69/15.09  																																														+-Applying beta-rule and splitting (881), into two cases.
% 45.69/15.09  																																														|-Branch one:
% 45.69/15.09  																																														| (882) all_0_92_92 = e3
% 45.69/15.09  																																														|
% 45.69/15.09  																																															| Combining equations (442,882) yields a new equation:
% 45.69/15.09  																																															| (790) e4 = e3
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Simplifying 790 yields:
% 45.69/15.09  																																															| (434) e4 = e3
% 45.69/15.09  																																															|
% 45.69/15.09  																																															| Equations (434) can reduce 177 to:
% 45.69/15.09  																																															| (311) $false
% 45.69/15.09  																																															|
% 45.69/15.09  																																															|-The branch is then unsatisfiable
% 45.69/15.09  																																														|-Branch two:
% 45.69/15.09  																																														| (426)  ~ (all_0_92_92 = e3)
% 45.69/15.09  																																														| (570) all_0_93_93 = e3
% 45.69/15.09  																																														|
% 45.69/15.09  																																															| Equations (570) can reduce 602 to:
% 45.69/15.09  																																															| (311) $false
% 45.69/15.09  																																															|
% 45.69/15.09  																																															|-The branch is then unsatisfiable
% 45.69/15.09  																																											|-Branch two:
% 45.69/15.09  																																											| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.09  																																											| (1837) all_0_96_96 = e0
% 45.69/15.09  																																											|
% 45.69/15.09  																																												| Equations (1837) can reduce 2095 to:
% 45.69/15.09  																																												| (311) $false
% 45.69/15.09  																																												|
% 45.69/15.09  																																												|-The branch is then unsatisfiable
% 45.69/15.09  																																					|-Branch two:
% 45.69/15.09  																																					| (1619)  ~ (all_0_92_92 = e4)
% 45.69/15.09  																																					| (607) all_0_93_93 = e4
% 45.69/15.09  																																					|
% 45.69/15.09  																																						| Equations (607) can reduce 496 to:
% 45.69/15.09  																																						| (311) $false
% 45.69/15.09  																																						|
% 45.69/15.09  																																						|-The branch is then unsatisfiable
% 45.69/15.09  																																	|-Branch two:
% 45.69/15.09  																																	| (2347)  ~ (all_0_80_80 = e3)
% 45.69/15.09  																																	| (635) all_0_81_81 = e3
% 45.69/15.09  																																	|
% 45.69/15.09  																																		| Equations (635) can reduce 420 to:
% 45.69/15.09  																																		| (311) $false
% 45.69/15.09  																																		|
% 45.69/15.09  																																		|-The branch is then unsatisfiable
% 45.69/15.09  																														|-Branch two:
% 45.69/15.09  																														| (952)  ~ (all_0_85_85 = e3)
% 45.69/15.09  																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.69/15.09  																														|
% 45.69/15.09  																															+-Applying beta-rule and splitting (953), into two cases.
% 45.69/15.09  																															|-Branch one:
% 45.69/15.09  																															| (954) all_0_85_85 = e0
% 45.69/15.09  																															|
% 45.69/15.09  																																| Equations (954) can reduce 800 to:
% 45.69/15.09  																																| (311) $false
% 45.69/15.09  																																|
% 45.69/15.09  																																|-The branch is then unsatisfiable
% 45.69/15.09  																															|-Branch two:
% 45.69/15.09  																															| (800)  ~ (all_0_85_85 = e0)
% 45.69/15.09  																															| (493) all_0_85_85 = e4
% 45.69/15.09  																															|
% 45.69/15.09  																																| Equations (493) can reduce 648 to:
% 45.69/15.09  																																| (311) $false
% 45.69/15.09  																																|
% 45.69/15.09  																																|-The branch is then unsatisfiable
% 45.69/15.09  																												|-Branch two:
% 45.69/15.09  																												| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.09  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.69/15.09  																												|
% 45.69/15.09  																													+-Applying beta-rule and splitting (10), into two cases.
% 45.69/15.09  																													|-Branch one:
% 45.69/15.09  																													| (530) all_0_82_82 = e2
% 45.69/15.09  																													|
% 45.69/15.09  																														| Equations (530) can reduce 347 to:
% 45.69/15.09  																														| (311) $false
% 45.69/15.09  																														|
% 45.69/15.09  																														|-The branch is then unsatisfiable
% 45.69/15.09  																													|-Branch two:
% 45.69/15.09  																													| (347)  ~ (all_0_82_82 = e2)
% 45.69/15.09  																													| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.69/15.09  																													|
% 45.69/15.09  																														+-Applying beta-rule and splitting (472), into two cases.
% 45.69/15.09  																														|-Branch one:
% 45.69/15.09  																														| (438) all_0_84_84 = e4
% 45.69/15.09  																														|
% 45.69/15.09  																															| Combining equations (916,438) yields a new equation:
% 45.69/15.09  																															| (912) e4 = e0
% 45.69/15.09  																															|
% 45.69/15.09  																															| Equations (912) can reduce 23 to:
% 45.69/15.09  																															| (311) $false
% 45.69/15.09  																															|
% 45.69/15.09  																															|-The branch is then unsatisfiable
% 45.69/15.09  																														|-Branch two:
% 45.69/15.09  																														| (417)  ~ (all_0_84_84 = e4)
% 45.69/15.09  																														| (493) all_0_85_85 = e4
% 45.69/15.09  																														|
% 45.69/15.09  																															| Equations (493) can reduce 118 to:
% 45.69/15.09  																															| (634)  ~ (all_0_81_81 = e4)
% 45.69/15.09  																															|
% 45.69/15.09  																															| Equations (493) can reduce 209 to:
% 45.69/15.09  																															| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.09  																															|
% 45.69/15.09  																															| Equations (493) can reduce 75 to:
% 45.69/15.09  																															| (320)  ~ (all_0_98_98 = e4)
% 45.69/15.09  																															|
% 45.69/15.09  																															| Simplifying 320 yields:
% 45.69/15.09  																															| (321)  ~ (all_0_98_98 = e4)
% 45.69/15.09  																															|
% 45.69/15.09  																															| Equations (493) can reduce 515 to:
% 45.69/15.09  																															| (79)  ~ (e4 = e2)
% 45.69/15.09  																															|
% 45.69/15.09  																															| From (493) and (26) follows:
% 45.69/15.09  																															| (2742) op(e0, e4) = all_0_71_71
% 45.69/15.09  																															|
% 45.69/15.09  																															+-Applying beta-rule and splitting (2205), into two cases.
% 45.69/15.09  																															|-Branch one:
% 45.69/15.09  																															| (789) all_0_82_82 = e3
% 45.69/15.09  																															|
% 45.69/15.09  																																| Equations (789) can reduce 255 to:
% 45.69/15.09  																																| (1815)  ~ (all_0_90_90 = e3)
% 45.69/15.09  																																|
% 45.69/15.09  																																| Simplifying 1815 yields:
% 45.69/15.09  																																| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.09  																																|
% 45.69/15.09  																																| Equations (789) can reduce 465 to:
% 45.69/15.09  																																| (783)  ~ (e4 = e3)
% 45.69/15.09  																																|
% 45.69/15.09  																																| Simplifying 783 yields:
% 45.69/15.09  																																| (177)  ~ (e4 = e3)
% 45.69/15.09  																																|
% 45.69/15.09  																																+-Applying beta-rule and splitting (99), into two cases.
% 45.69/15.09  																																|-Branch one:
% 45.69/15.09  																																| (767) all_0_95_95 = e2
% 45.69/15.09  																																|
% 45.69/15.09  																																	| Equations (767) can reduce 355 to:
% 45.69/15.09  																																	| (311) $false
% 45.69/15.09  																																	|
% 45.69/15.09  																																	|-The branch is then unsatisfiable
% 45.69/15.09  																																|-Branch two:
% 45.69/15.09  																																| (355)  ~ (all_0_95_95 = e2)
% 45.69/15.09  																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.69/15.09  																																|
% 45.69/15.09  																																	+-Applying beta-rule and splitting (770), into two cases.
% 45.69/15.09  																																	|-Branch one:
% 45.69/15.09  																																	| (785) all_0_95_95 = e1
% 45.69/15.09  																																	|
% 45.69/15.09  																																		| Equations (785) can reduce 279 to:
% 45.69/15.09  																																		| (1671)  ~ (all_0_96_96 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Simplifying 1671 yields:
% 45.69/15.09  																																		| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Equations (785) can reduce 107 to:
% 45.69/15.09  																																		| (1803)  ~ (all_0_98_98 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Simplifying 1803 yields:
% 45.69/15.09  																																		| (1804)  ~ (all_0_98_98 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Equations (785) can reduce 355 to:
% 45.69/15.09  																																		| (487)  ~ (e2 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Simplifying 487 yields:
% 45.69/15.09  																																		| (243)  ~ (e2 = e1)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| Equations (785) can reduce 893 to:
% 45.69/15.09  																																		| (264)  ~ (e1 = e0)
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| From (785) and (280) follows:
% 45.69/15.09  																																		| (13196) op(e0, e1) = all_0_51_51
% 45.69/15.09  																																		|
% 45.69/15.09  																																		| From (785) and (275) follows:
% 45.69/15.09  																																		| (1511) op(e0, e3) = e1
% 45.69/15.09  																																		|
% 45.69/15.09  																																		+-Applying beta-rule and splitting (123), into two cases.
% 45.69/15.09  																																		|-Branch one:
% 45.69/15.09  																																		| (473) all_0_81_81 = e2
% 45.69/15.09  																																		|
% 45.69/15.09  																																			| Equations (473) can reduce 396 to:
% 45.69/15.09  																																			| (311) $false
% 45.69/15.09  																																			|
% 45.69/15.09  																																			|-The branch is then unsatisfiable
% 45.69/15.09  																																		|-Branch two:
% 45.69/15.09  																																		| (396)  ~ (all_0_81_81 = e2)
% 45.69/15.09  																																		| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 45.69/15.09  																																		|
% 45.69/15.09  																																			+-Applying beta-rule and splitting (4), into two cases.
% 45.69/15.09  																																			|-Branch one:
% 45.69/15.09  																																			| (463) all_0_78_78 = e4
% 45.69/15.09  																																			|
% 45.69/15.09  																																				| Combining equations (463,400) yields a new equation:
% 45.69/15.09  																																				| (309) e4 = e2
% 45.69/15.09  																																				|
% 45.69/15.09  																																				| Simplifying 309 yields:
% 45.69/15.09  																																				| (310) e4 = e2
% 45.69/15.09  																																				|
% 45.69/15.09  																																				| Equations (310) can reduce 79 to:
% 45.69/15.09  																																				| (311) $false
% 45.69/15.09  																																				|
% 45.69/15.09  																																				|-The branch is then unsatisfiable
% 45.69/15.09  																																			|-Branch two:
% 45.69/15.09  																																			| (640)  ~ (all_0_78_78 = e4)
% 45.69/15.09  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.09  																																			|
% 45.69/15.09  																																				+-Applying beta-rule and splitting (817), into two cases.
% 45.69/15.09  																																				|-Branch one:
% 45.69/15.09  																																				| (504) all_0_88_88 = e1
% 45.69/15.09  																																				|
% 45.69/15.09  																																					| Combining equations (504,370) yields a new equation:
% 45.69/15.09  																																					| (385) e2 = e1
% 45.69/15.09  																																					|
% 45.69/15.09  																																					| Equations (385) can reduce 243 to:
% 45.69/15.09  																																					| (311) $false
% 45.69/15.09  																																					|
% 45.69/15.09  																																					|-The branch is then unsatisfiable
% 45.69/15.09  																																				|-Branch two:
% 45.69/15.09  																																				| (479)  ~ (all_0_88_88 = e1)
% 45.69/15.09  																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 45.69/15.09  																																				|
% 45.69/15.09  																																					+-Applying beta-rule and splitting (897), into two cases.
% 45.69/15.09  																																					|-Branch one:
% 45.69/15.09  																																					| (566) all_0_93_93 = e1
% 45.69/15.09  																																					|
% 45.69/15.09  																																						| Equations (566) can reduce 277 to:
% 45.69/15.09  																																						| (628)  ~ (all_0_81_81 = e1)
% 45.69/15.09  																																						|
% 45.69/15.09  																																						| Equations (566) can reduce 34 to:
% 45.69/15.09  																																						| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.09  																																						|
% 45.69/15.09  																																						| Equations (566) can reduce 44 to:
% 45.69/15.09  																																						| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.09  																																						|
% 45.69/15.09  																																						| From (566) and (173) follows:
% 45.69/15.09  																																						| (14723) op(e0, e1) = all_0_75_75
% 45.69/15.09  																																						|
% 45.69/15.09  																																						+-Applying beta-rule and splitting (476), into two cases.
% 45.69/15.09  																																						|-Branch one:
% 45.69/15.09  																																						| (477) all_0_81_81 = e1
% 45.69/15.09  																																						|
% 45.69/15.09  																																							| Equations (477) can reduce 628 to:
% 45.69/15.09  																																							| (311) $false
% 45.69/15.09  																																							|
% 45.69/15.09  																																							|-The branch is then unsatisfiable
% 45.69/15.09  																																						|-Branch two:
% 45.69/15.09  																																						| (628)  ~ (all_0_81_81 = e1)
% 45.69/15.10  																																						| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 45.69/15.10  																																						|
% 45.69/15.10  																																							+-Applying beta-rule and splitting (27), into two cases.
% 45.69/15.10  																																							|-Branch one:
% 45.69/15.10  																																							| (746) all_0_90_90 = e2
% 45.69/15.10  																																							|
% 45.69/15.10  																																								| Equations (746) can reduce 294 to:
% 45.69/15.10  																																								| (311) $false
% 45.69/15.10  																																								|
% 45.69/15.10  																																								|-The branch is then unsatisfiable
% 45.69/15.10  																																							|-Branch two:
% 45.69/15.10  																																							| (294)  ~ (all_0_90_90 = e2)
% 45.69/15.10  																																							| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.69/15.10  																																							|
% 45.69/15.10  																																								+-Applying beta-rule and splitting (291), into two cases.
% 45.69/15.10  																																								|-Branch one:
% 45.69/15.10  																																								| (758) all_0_90_90 = e0
% 45.69/15.10  																																								|
% 45.69/15.10  																																									| Equations (758) can reduce 762 to:
% 45.69/15.10  																																									| (311) $false
% 45.69/15.10  																																									|
% 45.69/15.10  																																									|-The branch is then unsatisfiable
% 45.69/15.10  																																								|-Branch two:
% 45.69/15.10  																																								| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.10  																																								| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.10  																																								|
% 45.69/15.10  																																									+-Applying beta-rule and splitting (1455), into two cases.
% 45.69/15.10  																																									|-Branch one:
% 45.69/15.10  																																									| (1456) all_0_91_91 = e0
% 45.69/15.10  																																									|
% 45.69/15.10  																																										| Equations (1456) can reduce 64 to:
% 45.69/15.10  																																										| (2296)  ~ (all_0_96_96 = e0)
% 45.69/15.10  																																										|
% 45.69/15.10  																																										| Simplifying 2296 yields:
% 45.69/15.10  																																										| (2095)  ~ (all_0_96_96 = e0)
% 45.69/15.10  																																										|
% 45.69/15.10  																																										| Equations (1456) can reduce 959 to:
% 45.69/15.10  																																										| (859)  ~ (e1 = e0)
% 45.69/15.10  																																										|
% 45.69/15.10  																																										| Simplifying 859 yields:
% 45.69/15.10  																																										| (264)  ~ (e1 = e0)
% 45.69/15.10  																																										|
% 45.69/15.10  																																										+-Applying beta-rule and splitting (102), into two cases.
% 45.69/15.10  																																										|-Branch one:
% 45.69/15.10  																																										| (858) all_0_95_95 = e0
% 45.69/15.10  																																										|
% 45.69/15.10  																																											| Combining equations (858,785) yields a new equation:
% 45.69/15.10  																																											| (865) e1 = e0
% 45.69/15.10  																																											|
% 45.69/15.10  																																											| Equations (865) can reduce 264 to:
% 45.69/15.10  																																											| (311) $false
% 45.69/15.10  																																											|
% 45.69/15.10  																																											|-The branch is then unsatisfiable
% 45.69/15.10  																																										|-Branch two:
% 45.69/15.10  																																										| (893)  ~ (all_0_95_95 = e0)
% 45.69/15.10  																																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.69/15.10  																																										|
% 45.69/15.10  																																											+-Applying beta-rule and splitting (1921), into two cases.
% 45.69/15.10  																																											|-Branch one:
% 45.69/15.10  																																											| (1837) all_0_96_96 = e0
% 45.69/15.10  																																											|
% 45.69/15.10  																																												| Equations (1837) can reduce 2095 to:
% 45.69/15.10  																																												| (311) $false
% 45.69/15.10  																																												|
% 45.69/15.10  																																												|-The branch is then unsatisfiable
% 45.69/15.10  																																											|-Branch two:
% 45.69/15.10  																																											| (2095)  ~ (all_0_96_96 = e0)
% 45.69/15.10  																																											| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 45.69/15.10  																																											|
% 45.69/15.10  																																												+-Applying beta-rule and splitting (3625), into two cases.
% 45.69/15.10  																																												|-Branch one:
% 45.69/15.10  																																												| (469) all_0_82_82 = e4
% 45.69/15.10  																																												|
% 45.69/15.10  																																													| Combining equations (789,469) yields a new equation:
% 45.69/15.10  																																													| (434) e4 = e3
% 45.69/15.10  																																													|
% 45.69/15.10  																																													| Equations (434) can reduce 177 to:
% 45.69/15.10  																																													| (311) $false
% 45.69/15.10  																																													|
% 45.69/15.10  																																													|-The branch is then unsatisfiable
% 45.69/15.10  																																												|-Branch two:
% 45.69/15.10  																																												| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.10  																																												| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.10  																																												|
% 45.69/15.10  																																													+-Applying beta-rule and splitting (629), into two cases.
% 45.69/15.10  																																													|-Branch one:
% 45.69/15.10  																																													| (635) all_0_81_81 = e3
% 45.69/15.10  																																													|
% 45.69/15.10  																																														| Equations (635) can reduce 396 to:
% 45.69/15.10  																																														| (169)  ~ (e3 = e2)
% 45.69/15.10  																																														|
% 45.69/15.10  																																														| Equations (635) can reduce 628 to:
% 45.69/15.10  																																														| (20)  ~ (e3 = e1)
% 45.69/15.10  																																														|
% 45.69/15.10  																																														| Equations (635) can reduce 257 to:
% 45.69/15.10  																																														| (50)  ~ (e3 = e0)
% 45.69/15.10  																																														|
% 45.69/15.10  																																														| From (635) and (145) follows:
% 45.69/15.10  																																														| (2368) op(e0, e3) = all_0_69_69
% 45.69/15.10  																																														|
% 45.69/15.10  																																														+-Applying beta-rule and splitting (270), into two cases.
% 45.69/15.10  																																														|-Branch one:
% 45.69/15.10  																																														| (744) all_0_95_95 = e3
% 45.69/15.10  																																														|
% 45.69/15.10  																																															| Combining equations (744,785) yields a new equation:
% 45.69/15.10  																																															| (825) e3 = e1
% 45.69/15.10  																																															|
% 45.69/15.10  																																															| Simplifying 825 yields:
% 45.69/15.10  																																															| (772) e3 = e1
% 45.69/15.10  																																															|
% 45.69/15.10  																																															| Equations (772) can reduce 20 to:
% 45.69/15.10  																																															| (311) $false
% 45.69/15.10  																																															|
% 45.69/15.10  																																															|-The branch is then unsatisfiable
% 45.69/15.10  																																														|-Branch two:
% 45.69/15.10  																																														| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.10  																																														| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.10  																																														|
% 45.69/15.10  																																															| Equations (785) can reduce 765 to:
% 45.69/15.10  																																															| (683)  ~ (e3 = e1)
% 45.69/15.10  																																															|
% 45.69/15.10  																																															| Simplifying 683 yields:
% 45.69/15.10  																																															| (20)  ~ (e3 = e1)
% 45.69/15.10  																																															|
% 45.69/15.10  																																															+-Applying beta-rule and splitting (282), into two cases.
% 45.69/15.10  																																															|-Branch one:
% 45.69/15.10  																																															| (754) all_0_90_90 = e3
% 45.69/15.10  																																															|
% 45.69/15.10  																																																| Equations (754) can reduce 745 to:
% 45.69/15.10  																																																| (311) $false
% 45.69/15.10  																																																|
% 45.69/15.10  																																																|-The branch is then unsatisfiable
% 45.69/15.10  																																															|-Branch two:
% 45.69/15.10  																																															| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.10  																																															| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.10  																																															|
% 45.69/15.10  																																																+-Applying beta-rule and splitting (766), into two cases.
% 45.69/15.10  																																																|-Branch one:
% 45.69/15.10  																																																| (778) all_0_96_96 = e3
% 45.69/15.10  																																																|
% 45.69/15.10  																																																	| Combining equations (778,18823) yields a new equation:
% 45.69/15.10  																																																	| (17845) all_0_73_73 = e3
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																	| Equations (778) can reduce 1479 to:
% 45.69/15.10  																																																	| (20)  ~ (e3 = e1)
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																	| Equations (778) can reduce 2095 to:
% 45.69/15.10  																																																	| (50)  ~ (e3 = e0)
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																	| From (778) and (268) follows:
% 45.69/15.10  																																																	| (10600) op(e0, e3) = all_0_59_59
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																	+-Applying beta-rule and splitting (849), into two cases.
% 45.69/15.10  																																																	|-Branch one:
% 45.69/15.10  																																																	| (588) all_0_91_91 = e3
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																		| Combining equations (1456,588) yields a new equation:
% 45.69/15.10  																																																		| (600) e3 = e0
% 45.69/15.10  																																																		|
% 45.69/15.10  																																																		| Equations (600) can reduce 50 to:
% 45.69/15.10  																																																		| (311) $false
% 45.69/15.10  																																																		|
% 45.69/15.10  																																																		|-The branch is then unsatisfiable
% 45.69/15.10  																																																	|-Branch two:
% 45.69/15.10  																																																	| (571)  ~ (all_0_91_91 = e3)
% 45.69/15.10  																																																	| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.10  																																																	|
% 45.69/15.10  																																																		+-Applying beta-rule and splitting (881), into two cases.
% 45.69/15.10  																																																		|-Branch one:
% 45.69/15.10  																																																		| (882) all_0_92_92 = e3
% 45.69/15.10  																																																		|
% 45.69/15.10  																																																			| Equations (882) can reduce 49 to:
% 45.69/15.10  																																																			| (2347)  ~ (all_0_80_80 = e3)
% 45.69/15.10  																																																			|
% 45.69/15.10  																																																			| Equations (882) can reduce 72 to:
% 45.69/15.10  																																																			| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.10  																																																			|
% 45.69/15.10  																																																			+-Applying beta-rule and splitting (210), into two cases.
% 45.69/15.10  																																																			|-Branch one:
% 45.69/15.10  																																																			| (433) all_0_80_80 = e4
% 45.69/15.10  																																																			|
% 45.69/15.10  																																																				| Equations (433) can reduce 828 to:
% 45.69/15.10  																																																				| (256)  ~ (e4 = e1)
% 45.69/15.10  																																																				|
% 45.69/15.10  																																																				+-Applying beta-rule and splitting (749), into two cases.
% 45.69/15.10  																																																				|-Branch one:
% 45.69/15.10  																																																				| (750) all_0_90_90 = e1
% 45.69/15.10  																																																				|
% 45.69/15.10  																																																					| Equations (750) can reduce 678 to:
% 45.69/15.10  																																																					| (311) $false
% 45.69/15.10  																																																					|
% 45.69/15.10  																																																					|-The branch is then unsatisfiable
% 45.69/15.10  																																																				|-Branch two:
% 45.69/15.10  																																																				| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.10  																																																				| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.69/15.10  																																																				|
% 45.69/15.10  																																																					+-Applying beta-rule and splitting (3629), into two cases.
% 45.69/15.10  																																																					|-Branch one:
% 45.69/15.10  																																																					| (583) all_0_90_90 = e4
% 45.69/15.10  																																																					|
% 45.69/15.10  																																																						| Equations (583) can reduce 745 to:
% 45.69/15.10  																																																						| (177)  ~ (e4 = e3)
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Equations (583) can reduce 678 to:
% 45.69/15.10  																																																						| (256)  ~ (e4 = e1)
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Instantiating formula (262) with e0, e4, all_0_71_71, e4 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e4, yields:
% 45.69/15.10  																																																						| (2758) all_0_71_71 = e4
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Instantiating formula (262) with e0, e3, all_0_69_69, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_69_69, yields:
% 45.69/15.10  																																																						| (19934) all_0_59_59 = all_0_69_69
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Instantiating formula (262) with e0, e3, e1, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e1, yields:
% 45.69/15.10  																																																						| (10607) all_0_59_59 = e1
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Instantiating formula (262) with e0, e1, all_0_51_51, e2 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e2, yields:
% 45.69/15.10  																																																						| (27448) all_0_51_51 = e2
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Instantiating formula (262) with e0, e1, all_0_75_75, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = all_0_75_75, yields:
% 45.69/15.10  																																																						| (28041) all_0_51_51 = all_0_75_75
% 45.69/15.10  																																																						|
% 45.69/15.10  																																																						| Combining equations (27448,28041) yields a new equation:
% 45.69/15.11  																																																						| (26367) all_0_75_75 = e2
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Combining equations (19934,10607) yields a new equation:
% 45.69/15.11  																																																						| (28043) all_0_69_69 = e1
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Simplifying 28043 yields:
% 45.69/15.11  																																																						| (26368) all_0_69_69 = e1
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Combining equations (26367,28041) yields a new equation:
% 45.69/15.11  																																																						| (27448) all_0_51_51 = e2
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Equations (27448) can reduce 975 to:
% 45.69/15.11  																																																						| (356)  ~ (e3 = e2)
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Simplifying 356 yields:
% 45.69/15.11  																																																						| (169)  ~ (e3 = e2)
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Equations (10607) can reduce 4959 to:
% 45.69/15.11  																																																						| (487)  ~ (e2 = e1)
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						| Simplifying 487 yields:
% 45.69/15.11  																																																						| (243)  ~ (e2 = e1)
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																						+-Applying beta-rule and splitting (89), into two cases.
% 45.69/15.11  																																																						|-Branch one:
% 45.69/15.11  																																																						| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																							+-Applying beta-rule and splitting (1373), into two cases.
% 45.69/15.11  																																																							|-Branch one:
% 45.69/15.11  																																																							| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 45.69/15.11  																																																							|
% 45.69/15.11  																																																								+-Applying beta-rule and splitting (1374), into two cases.
% 45.69/15.11  																																																								|-Branch one:
% 45.69/15.11  																																																								| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																									| Applying alpha-rule on (1375) yields:
% 45.69/15.11  																																																									| (1376) all_0_69_69 = e4
% 45.69/15.11  																																																									| (1377)  ~ (all_0_70_70 = e0)
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									| Combining equations (26368,1376) yields a new equation:
% 45.69/15.11  																																																									| (814) e4 = e1
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									| Equations (814) can reduce 256 to:
% 45.69/15.11  																																																									| (311) $false
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									|-The branch is then unsatisfiable
% 45.69/15.11  																																																								|-Branch two:
% 45.69/15.11  																																																								| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																									| Applying alpha-rule on (1379) yields:
% 45.69/15.11  																																																									| (1380) all_0_71_71 = e3
% 45.69/15.11  																																																									| (1381)  ~ (all_0_72_72 = e0)
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									| Combining equations (2758,1380) yields a new equation:
% 45.69/15.11  																																																									| (790) e4 = e3
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									| Simplifying 790 yields:
% 45.69/15.11  																																																									| (434) e4 = e3
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									| Equations (434) can reduce 177 to:
% 45.69/15.11  																																																									| (311) $false
% 45.69/15.11  																																																									|
% 45.69/15.11  																																																									|-The branch is then unsatisfiable
% 45.69/15.11  																																																							|-Branch two:
% 45.69/15.11  																																																							| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 45.69/15.11  																																																							|
% 45.69/15.11  																																																								| Applying alpha-rule on (1385) yields:
% 45.69/15.11  																																																								| (1386) all_0_73_73 = e2
% 45.69/15.11  																																																								| (1387)  ~ (all_0_74_74 = e0)
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																								| Combining equations (17845,1386) yields a new equation:
% 45.69/15.11  																																																								| (547) e3 = e2
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																								| Simplifying 547 yields:
% 45.69/15.11  																																																								| (548) e3 = e2
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																								| Equations (548) can reduce 169 to:
% 45.69/15.11  																																																								| (311) $false
% 45.69/15.11  																																																								|
% 45.69/15.11  																																																								|-The branch is then unsatisfiable
% 45.69/15.11  																																																						|-Branch two:
% 45.69/15.11  																																																						| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 45.69/15.11  																																																						|
% 45.69/15.11  																																																							| Applying alpha-rule on (1391) yields:
% 45.69/15.11  																																																							| (1392) all_0_75_75 = e1
% 45.69/15.11  																																																							| (1393)  ~ (all_0_76_76 = e0)
% 45.69/15.11  																																																							|
% 45.69/15.12  																																																							| Combining equations (1392,26367) yields a new equation:
% 45.69/15.12  																																																							| (385) e2 = e1
% 45.69/15.12  																																																							|
% 45.69/15.12  																																																							| Equations (385) can reduce 243 to:
% 45.69/15.12  																																																							| (311) $false
% 45.69/15.12  																																																							|
% 45.69/15.12  																																																							|-The branch is then unsatisfiable
% 45.69/15.12  																																																					|-Branch two:
% 45.69/15.12  																																																					| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.12  																																																					| (894) all_0_95_95 = e4
% 45.69/15.12  																																																					|
% 45.69/15.12  																																																						| Combining equations (894,785) yields a new equation:
% 45.69/15.12  																																																						| (813) e4 = e1
% 45.69/15.12  																																																						|
% 45.69/15.12  																																																						| Simplifying 813 yields:
% 45.69/15.12  																																																						| (814) e4 = e1
% 45.69/15.12  																																																						|
% 45.69/15.12  																																																						| Equations (814) can reduce 256 to:
% 45.69/15.12  																																																						| (311) $false
% 45.69/15.12  																																																						|
% 45.69/15.12  																																																						|-The branch is then unsatisfiable
% 45.69/15.12  																																																			|-Branch two:
% 45.69/15.12  																																																			| (436)  ~ (all_0_80_80 = e4)
% 45.69/15.12  																																																			| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																				+-Applying beta-rule and splitting (3232), into two cases.
% 45.69/15.12  																																																				|-Branch one:
% 45.69/15.12  																																																				| (824) all_0_80_80 = e1
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																					| Equations (824) can reduce 828 to:
% 45.69/15.12  																																																					| (311) $false
% 45.69/15.12  																																																					|
% 45.69/15.12  																																																					|-The branch is then unsatisfiable
% 45.69/15.12  																																																				|-Branch two:
% 45.69/15.12  																																																				| (828)  ~ (all_0_80_80 = e1)
% 45.69/15.12  																																																				| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																					+-Applying beta-rule and splitting (4018), into two cases.
% 45.69/15.12  																																																					|-Branch one:
% 45.69/15.12  																																																					| (416) all_0_80_80 = e3
% 45.69/15.12  																																																					|
% 45.69/15.12  																																																						| Equations (416) can reduce 2347 to:
% 45.69/15.12  																																																						| (311) $false
% 45.69/15.12  																																																						|
% 45.69/15.12  																																																						|-The branch is then unsatisfiable
% 45.69/15.12  																																																					|-Branch two:
% 45.69/15.12  																																																					| (2347)  ~ (all_0_80_80 = e3)
% 45.69/15.12  																																																					| (433) all_0_80_80 = e4
% 45.69/15.12  																																																					|
% 45.69/15.12  																																																						| Equations (433) can reduce 436 to:
% 45.69/15.12  																																																						| (311) $false
% 45.69/15.12  																																																						|
% 45.69/15.12  																																																						|-The branch is then unsatisfiable
% 45.69/15.12  																																																		|-Branch two:
% 45.69/15.12  																																																		| (426)  ~ (all_0_92_92 = e3)
% 45.69/15.12  																																																		| (570) all_0_93_93 = e3
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																			| Combining equations (570,566) yields a new equation:
% 45.69/15.12  																																																			| (825) e3 = e1
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																			| Simplifying 825 yields:
% 45.69/15.12  																																																			| (772) e3 = e1
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																			| Equations (772) can reduce 20 to:
% 45.69/15.12  																																																			| (311) $false
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																			|-The branch is then unsatisfiable
% 45.69/15.12  																																																|-Branch two:
% 45.69/15.12  																																																| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.12  																																																| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.12  																																																|
% 45.69/15.12  																																																	+-Applying beta-rule and splitting (285), into two cases.
% 45.69/15.12  																																																	|-Branch one:
% 45.69/15.12  																																																	| (1708) all_0_79_79 = e3
% 45.69/15.12  																																																	|
% 45.69/15.12  																																																		| Combining equations (1708,457) yields a new equation:
% 45.69/15.12  																																																		| (825) e3 = e1
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																		| Simplifying 825 yields:
% 45.69/15.12  																																																		| (772) e3 = e1
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																		| Equations (772) can reduce 20 to:
% 45.69/15.12  																																																		| (311) $false
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																		|-The branch is then unsatisfiable
% 45.69/15.12  																																																	|-Branch two:
% 45.69/15.12  																																																	| (1711)  ~ (all_0_79_79 = e3)
% 45.69/15.12  																																																	| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.69/15.12  																																																	|
% 45.69/15.12  																																																		+-Applying beta-rule and splitting (1712), into two cases.
% 45.69/15.12  																																																		|-Branch one:
% 45.69/15.12  																																																		| (795) all_0_83_83 = e3
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																			| Combining equations (453,795) yields a new equation:
% 45.69/15.12  																																																			| (548) e3 = e2
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																			| Equations (548) can reduce 169 to:
% 45.69/15.12  																																																			| (311) $false
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																			|-The branch is then unsatisfiable
% 45.69/15.12  																																																		|-Branch two:
% 45.69/15.12  																																																		| (779)  ~ (all_0_83_83 = e3)
% 45.69/15.12  																																																		| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 45.69/15.12  																																																		|
% 45.69/15.12  																																																			+-Applying beta-rule and splitting (1842), into two cases.
% 45.69/15.12  																																																			|-Branch one:
% 45.69/15.12  																																																			| (588) all_0_91_91 = e3
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																				| Combining equations (588,1456) yields a new equation:
% 45.69/15.12  																																																				| (599) e3 = e0
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																				| Simplifying 599 yields:
% 45.69/15.12  																																																				| (600) e3 = e0
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																				| Equations (600) can reduce 50 to:
% 45.69/15.12  																																																				| (311) $false
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																				|-The branch is then unsatisfiable
% 45.69/15.12  																																																			|-Branch two:
% 45.69/15.12  																																																			| (571)  ~ (all_0_91_91 = e3)
% 45.69/15.12  																																																			| (778) all_0_96_96 = e3
% 45.69/15.12  																																																			|
% 45.69/15.12  																																																				| Equations (778) can reduce 964 to:
% 45.69/15.12  																																																				| (311) $false
% 45.69/15.12  																																																				|
% 45.69/15.12  																																																				|-The branch is then unsatisfiable
% 45.69/15.12  																																													|-Branch two:
% 45.69/15.12  																																													| (420)  ~ (all_0_81_81 = e3)
% 45.69/15.12  																																													| (638) all_0_81_81 = e4
% 45.69/15.12  																																													|
% 45.69/15.12  																																														| Equations (638) can reduce 634 to:
% 45.69/15.12  																																														| (311) $false
% 45.69/15.12  																																														|
% 45.69/15.12  																																														|-The branch is then unsatisfiable
% 45.69/15.12  																																									|-Branch two:
% 45.69/15.12  																																									| (1487)  ~ (all_0_91_91 = e0)
% 45.69/15.12  																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.12  																																									|
% 45.69/15.12  																																										+-Applying beta-rule and splitting (1488), into two cases.
% 45.69/15.12  																																										|-Branch one:
% 45.69/15.12  																																										| (942) all_0_92_92 = e0
% 45.69/15.12  																																										|
% 45.69/15.12  																																											| Equations (942) can reduce 946 to:
% 45.69/15.12  																																											| (311) $false
% 45.69/15.12  																																											|
% 45.69/15.12  																																											|-The branch is then unsatisfiable
% 45.69/15.12  																																										|-Branch two:
% 45.69/15.12  																																										| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.12  																																										| (604) all_0_93_93 = e0
% 45.69/15.12  																																										|
% 45.69/15.12  																																											| Combining equations (566,604) yields a new equation:
% 45.69/15.12  																																											| (1107) e1 = e0
% 45.69/15.12  																																											|
% 45.69/15.12  																																											| Simplifying 1107 yields:
% 45.69/15.12  																																											| (865) e1 = e0
% 45.69/15.12  																																											|
% 45.69/15.12  																																											| Equations (865) can reduce 264 to:
% 45.69/15.12  																																											| (311) $false
% 45.69/15.12  																																											|
% 45.69/15.12  																																											|-The branch is then unsatisfiable
% 45.69/15.12  																																					|-Branch two:
% 45.69/15.12  																																					| (481)  ~ (all_0_93_93 = e1)
% 45.69/15.12  																																					| (1543) all_0_98_98 = e1
% 45.69/15.12  																																					|
% 45.69/15.12  																																						| Equations (1543) can reduce 1804 to:
% 45.69/15.12  																																						| (311) $false
% 45.69/15.12  																																						|
% 45.69/15.12  																																						|-The branch is then unsatisfiable
% 45.69/15.12  																																	|-Branch two:
% 45.69/15.12  																																	| (680)  ~ (all_0_95_95 = e1)
% 45.69/15.12  																																	| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.69/15.12  																																	|
% 45.69/15.12  																																		+-Applying beta-rule and splitting (176), into two cases.
% 45.69/15.12  																																		|-Branch one:
% 45.69/15.12  																																		| (785) all_0_95_95 = e1
% 45.69/15.12  																																		|
% 45.69/15.12  																																			| Equations (785) can reduce 680 to:
% 45.69/15.12  																																			| (311) $false
% 45.69/15.12  																																			|
% 45.69/15.12  																																			|-The branch is then unsatisfiable
% 45.69/15.12  																																		|-Branch two:
% 45.69/15.12  																																		| (680)  ~ (all_0_95_95 = e1)
% 45.69/15.12  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.69/15.12  																																		|
% 45.69/15.12  																																			+-Applying beta-rule and splitting (788), into two cases.
% 45.69/15.12  																																			|-Branch one:
% 45.69/15.12  																																			| (960) all_0_96_96 = e1
% 45.69/15.12  																																			|
% 45.69/15.12  																																				| Equations (960) can reduce 1479 to:
% 45.69/15.12  																																				| (311) $false
% 45.69/15.12  																																				|
% 45.69/15.12  																																				|-The branch is then unsatisfiable
% 45.69/15.12  																																			|-Branch two:
% 45.69/15.12  																																			| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.12  																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.69/15.12  																																			|
% 45.69/15.12  																																				+-Applying beta-rule and splitting (4), into two cases.
% 45.69/15.12  																																				|-Branch one:
% 45.69/15.12  																																				| (463) all_0_78_78 = e4
% 45.69/15.12  																																				|
% 45.69/15.12  																																					| Combining equations (400,463) yields a new equation:
% 45.69/15.12  																																					| (310) e4 = e2
% 45.69/15.12  																																					|
% 45.69/15.12  																																					| Equations (310) can reduce 79 to:
% 45.69/15.12  																																					| (311) $false
% 45.69/15.12  																																					|
% 45.69/15.12  																																					|-The branch is then unsatisfiable
% 45.69/15.12  																																				|-Branch two:
% 45.69/15.12  																																				| (640)  ~ (all_0_78_78 = e4)
% 45.69/15.12  																																				| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.12  																																				|
% 45.69/15.12  																																					+-Applying beta-rule and splitting (2126), into two cases.
% 45.69/15.12  																																					|-Branch one:
% 45.69/15.12  																																					| (542) all_0_97_97 = e1
% 45.69/15.12  																																					|
% 45.69/15.12  																																						| Combining equations (542,538) yields a new equation:
% 45.69/15.12  																																						| (385) e2 = e1
% 45.69/15.12  																																						|
% 45.69/15.12  																																						| Equations (385) can reduce 243 to:
% 45.69/15.12  																																						| (311) $false
% 45.69/15.12  																																						|
% 45.69/15.12  																																						|-The branch is then unsatisfiable
% 45.69/15.12  																																					|-Branch two:
% 45.69/15.12  																																					| (486)  ~ (all_0_97_97 = e1)
% 45.69/15.12  																																					| (1543) all_0_98_98 = e1
% 45.69/15.12  																																					|
% 45.69/15.12  																																						| Equations (1543) can reduce 13 to:
% 45.69/15.12  																																						| (481)  ~ (all_0_93_93 = e1)
% 45.69/15.12  																																						|
% 45.69/15.12  																																						| Equations (1543) can reduce 321 to:
% 45.69/15.12  																																						| (681)  ~ (e4 = e1)
% 45.69/15.12  																																						|
% 45.69/15.12  																																						| Simplifying 681 yields:
% 45.69/15.12  																																						| (256)  ~ (e4 = e1)
% 45.69/15.12  																																						|
% 45.69/15.12  																																						+-Applying beta-rule and splitting (132), into two cases.
% 45.69/15.12  																																						|-Branch one:
% 45.69/15.12  																																						| (750) all_0_90_90 = e1
% 45.69/15.12  																																						|
% 45.69/15.12  																																							+-Applying beta-rule and splitting (3625), into two cases.
% 45.69/15.12  																																							|-Branch one:
% 45.69/15.12  																																							| (469) all_0_82_82 = e4
% 45.69/15.12  																																							|
% 45.69/15.12  																																								| Combining equations (789,469) yields a new equation:
% 45.69/15.12  																																								| (434) e4 = e3
% 45.69/15.12  																																								|
% 45.69/15.12  																																								| Equations (434) can reduce 177 to:
% 45.69/15.12  																																								| (311) $false
% 45.69/15.12  																																								|
% 45.69/15.12  																																								|-The branch is then unsatisfiable
% 45.69/15.12  																																							|-Branch two:
% 45.69/15.12  																																							| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.12  																																							| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.12  																																							|
% 45.69/15.12  																																								+-Applying beta-rule and splitting (3629), into two cases.
% 45.69/15.12  																																								|-Branch one:
% 45.69/15.12  																																								| (583) all_0_90_90 = e4
% 45.69/15.12  																																								|
% 45.69/15.12  																																									| Combining equations (750,583) yields a new equation:
% 45.69/15.12  																																									| (814) e4 = e1
% 45.69/15.12  																																									|
% 45.69/15.12  																																									| Equations (814) can reduce 256 to:
% 45.69/15.12  																																									| (311) $false
% 45.69/15.12  																																									|
% 45.69/15.12  																																									|-The branch is then unsatisfiable
% 45.69/15.12  																																								|-Branch two:
% 45.69/15.12  																																								| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.12  																																								| (894) all_0_95_95 = e4
% 45.69/15.12  																																								|
% 45.69/15.12  																																									| Equations (894) can reduce 315 to:
% 45.69/15.12  																																									| (311) $false
% 45.69/15.12  																																									|
% 45.69/15.12  																																									|-The branch is then unsatisfiable
% 45.69/15.12  																																						|-Branch two:
% 45.69/15.12  																																						| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.12  																																						| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.12  																																						|
% 45.69/15.12  																																							+-Applying beta-rule and splitting (1526), into two cases.
% 45.69/15.12  																																							|-Branch one:
% 45.69/15.12  																																							| (801) all_0_91_91 = e1
% 45.69/15.12  																																							|
% 45.69/15.12  																																								| Equations (801) can reduce 959 to:
% 45.69/15.12  																																								| (311) $false
% 45.69/15.12  																																								|
% 45.69/15.12  																																								|-The branch is then unsatisfiable
% 45.69/15.12  																																							|-Branch two:
% 45.69/15.12  																																							| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.12  																																							| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.12  																																							|
% 45.69/15.12  																																								+-Applying beta-rule and splitting (1556), into two cases.
% 45.69/15.12  																																								|-Branch one:
% 45.69/15.12  																																								| (836) all_0_92_92 = e1
% 45.69/15.12  																																								|
% 45.69/15.12  																																									| Equations (836) can reduce 840 to:
% 45.69/15.12  																																									| (311) $false
% 45.69/15.12  																																									|
% 45.69/15.12  																																									|-The branch is then unsatisfiable
% 45.69/15.12  																																								|-Branch two:
% 45.69/15.12  																																								| (840)  ~ (all_0_92_92 = e1)
% 45.69/15.12  																																								| (566) all_0_93_93 = e1
% 45.69/15.12  																																								|
% 45.69/15.12  																																									| Equations (566) can reduce 481 to:
% 45.69/15.12  																																									| (311) $false
% 45.69/15.12  																																									|
% 45.69/15.12  																																									|-The branch is then unsatisfiable
% 45.69/15.12  																															|-Branch two:
% 45.69/15.12  																															| (793)  ~ (all_0_82_82 = e3)
% 45.69/15.12  																															| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.69/15.12  																															|
% 45.69/15.12  																																+-Applying beta-rule and splitting (2706), into two cases.
% 45.69/15.12  																																|-Branch one:
% 45.69/15.12  																																| (910) all_0_82_82 = e0
% 45.69/15.12  																																|
% 45.69/15.12  																																	| Equations (910) can reduce 914 to:
% 45.69/15.12  																																	| (311) $false
% 45.69/15.12  																																	|
% 45.69/15.12  																																	|-The branch is then unsatisfiable
% 45.69/15.12  																																|-Branch two:
% 45.69/15.12  																																| (914)  ~ (all_0_82_82 = e0)
% 45.69/15.12  																																| (469) all_0_82_82 = e4
% 45.69/15.12  																																|
% 45.69/15.12  																																	| Equations (469) can reduce 465 to:
% 45.69/15.12  																																	| (311) $false
% 45.69/15.12  																																	|
% 45.69/15.12  																																	|-The branch is then unsatisfiable
% 45.69/15.12  																											|-Branch two:
% 45.69/15.12  																											| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.12  																											| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.69/15.12  																											|
% 45.69/15.12  																												+-Applying beta-rule and splitting (249), into two cases.
% 45.69/15.12  																												|-Branch one:
% 45.69/15.12  																												| (910) all_0_82_82 = e0
% 45.69/15.12  																												|
% 45.69/15.12  																													| Equations (910) can reduce 914 to:
% 45.69/15.12  																													| (311) $false
% 45.69/15.12  																													|
% 45.69/15.12  																													|-The branch is then unsatisfiable
% 45.69/15.12  																												|-Branch two:
% 45.69/15.12  																												| (914)  ~ (all_0_82_82 = e0)
% 45.69/15.12  																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.12  																												|
% 45.69/15.12  																													+-Applying beta-rule and splitting (920), into two cases.
% 45.69/15.12  																													|-Branch one:
% 45.69/15.12  																													| (861) all_0_87_87 = e0
% 45.69/15.12  																													|
% 45.69/15.12  																														| Combining equations (482,861) yields a new equation:
% 45.69/15.12  																														| (1107) e1 = e0
% 45.69/15.12  																														|
% 45.69/15.12  																														| Simplifying 1107 yields:
% 45.69/15.12  																														| (865) e1 = e0
% 45.69/15.12  																														|
% 45.69/15.12  																														| Equations (865) can reduce 264 to:
% 45.69/15.12  																														| (311) $false
% 45.69/15.12  																														|
% 45.69/15.12  																														|-The branch is then unsatisfiable
% 45.69/15.12  																													|-Branch two:
% 45.69/15.12  																													| (889)  ~ (all_0_87_87 = e0)
% 45.69/15.12  																													| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.69/15.12  																													|
% 45.69/15.12  																														+-Applying beta-rule and splitting (1309), into two cases.
% 45.69/15.12  																														|-Branch one:
% 45.69/15.12  																														| (798) all_0_83_83 = e0
% 45.69/15.12  																														|
% 45.69/15.12  																															| Combining equations (798,453) yields a new equation:
% 45.69/15.12  																															| (379) e2 = e0
% 45.69/15.12  																															|
% 45.69/15.12  																															| Equations (379) can reduce 76 to:
% 45.69/15.12  																															| (311) $false
% 45.69/15.12  																															|
% 45.69/15.12  																															|-The branch is then unsatisfiable
% 45.69/15.12  																														|-Branch two:
% 45.69/15.12  																														| (1314)  ~ (all_0_83_83 = e0)
% 45.69/15.12  																														| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.12  																														|
% 45.69/15.12  																															| Equations (453) can reduce 1314 to:
% 45.69/15.12  																															| (76)  ~ (e2 = e0)
% 45.69/15.12  																															|
% 45.69/15.12  																															+-Applying beta-rule and splitting (931), into two cases.
% 45.69/15.12  																															|-Branch one:
% 45.69/15.12  																															| (942) all_0_92_92 = e0
% 45.69/15.12  																															|
% 45.69/15.12  																																| Equations (942) can reduce 87 to:
% 45.69/15.12  																																| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.12  																																|
% 45.69/15.12  																																| Equations (942) can reduce 265 to:
% 45.69/15.12  																																| (1487)  ~ (all_0_91_91 = e0)
% 45.69/15.12  																																|
% 45.69/15.12  																																+-Applying beta-rule and splitting (1400), into two cases.
% 45.69/15.12  																																|-Branch one:
% 45.69/15.12  																																| (1456) all_0_91_91 = e0
% 45.69/15.12  																																|
% 45.69/15.12  																																	| Equations (1456) can reduce 1487 to:
% 45.69/15.12  																																	| (311) $false
% 45.69/15.12  																																	|
% 45.69/15.12  																																	|-The branch is then unsatisfiable
% 45.69/15.12  																																|-Branch two:
% 45.69/15.12  																																| (1487)  ~ (all_0_91_91 = e0)
% 45.69/15.12  																																| (1837) all_0_96_96 = e0
% 45.69/15.12  																																|
% 45.69/15.12  																																	| From (1837) and (4960) follows:
% 45.69/15.13  																																	| (2170) op(e2, e0) = e0
% 45.69/15.13  																																	|
% 45.69/15.13  																																	+-Applying beta-rule and splitting (1315), into two cases.
% 45.69/15.13  																																	|-Branch one:
% 45.69/15.13  																																	| (916) all_0_84_84 = e0
% 45.69/15.13  																																	|
% 45.69/15.13  																																		| Equations (916) can reduce 919 to:
% 45.69/15.13  																																		| (311) $false
% 45.69/15.13  																																		|
% 45.69/15.13  																																		|-The branch is then unsatisfiable
% 45.69/15.13  																																	|-Branch two:
% 45.69/15.13  																																	| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.13  																																	| (954) all_0_85_85 = e0
% 45.69/15.13  																																	|
% 45.69/15.13  																																		| Equations (954) can reduce 515 to:
% 45.69/15.13  																																		| (510)  ~ (e2 = e0)
% 45.69/15.13  																																		|
% 45.69/15.13  																																		| Simplifying 510 yields:
% 45.69/15.13  																																		| (76)  ~ (e2 = e0)
% 45.69/15.13  																																		|
% 45.69/15.13  																																		| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 45.69/15.13  																																		| (379) e2 = e0
% 45.69/15.13  																																		|
% 45.69/15.13  																																		| Equations (379) can reduce 76 to:
% 45.69/15.13  																																		| (311) $false
% 45.69/15.13  																																		|
% 45.69/15.13  																																		|-The branch is then unsatisfiable
% 45.69/15.13  																															|-Branch two:
% 45.69/15.13  																															| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.13  																															| (560) all_0_97_97 = e0
% 45.69/15.13  																															|
% 45.69/15.13  																																| Combining equations (538,560) yields a new equation:
% 45.69/15.13  																																| (923) e2 = e0
% 45.69/15.13  																																|
% 45.69/15.13  																																| Simplifying 923 yields:
% 45.69/15.13  																																| (379) e2 = e0
% 45.69/15.13  																																|
% 45.69/15.13  																																| Equations (379) can reduce 76 to:
% 45.69/15.13  																																| (311) $false
% 45.69/15.13  																																|
% 45.69/15.13  																																|-The branch is then unsatisfiable
% 45.69/15.13  																					|-Branch two:
% 45.69/15.13  																					| (461)  ~ (all_0_79_79 = e1)
% 45.69/15.13  																					| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 45.69/15.13  																					|
% 45.69/15.13  																						+-Applying beta-rule and splitting (129), into two cases.
% 45.69/15.13  																						|-Branch one:
% 45.69/15.13  																						| (676) all_0_78_78 = e1
% 45.69/15.13  																						|
% 45.69/15.13  																							| Combining equations (400,676) yields a new equation:
% 45.69/15.13  																							| (408) e2 = e1
% 45.69/15.13  																							|
% 45.69/15.13  																							| Simplifying 408 yields:
% 45.69/15.13  																							| (385) e2 = e1
% 45.69/15.13  																							|
% 45.69/15.13  																							| Equations (385) can reduce 243 to:
% 45.69/15.13  																							| (311) $false
% 45.69/15.13  																							|
% 45.69/15.13  																							|-The branch is then unsatisfiable
% 45.69/15.13  																						|-Branch two:
% 45.69/15.13  																						| (1601)  ~ (all_0_78_78 = e1)
% 45.69/15.13  																						| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 45.69/15.13  																						|
% 45.69/15.13  																							+-Applying beta-rule and splitting (1602), into two cases.
% 45.69/15.13  																							|-Branch one:
% 45.69/15.13  																							| (457) all_0_79_79 = e1
% 45.69/15.13  																							|
% 45.69/15.13  																								| Equations (457) can reduce 461 to:
% 45.69/15.13  																								| (311) $false
% 45.69/15.13  																								|
% 45.69/15.13  																								|-The branch is then unsatisfiable
% 45.69/15.13  																							|-Branch two:
% 45.69/15.13  																							| (461)  ~ (all_0_79_79 = e1)
% 45.69/15.13  																							| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 45.69/15.13  																							|
% 45.69/15.13  																								+-Applying beta-rule and splitting (8180), into two cases.
% 45.69/15.13  																								|-Branch one:
% 45.69/15.13  																								| (824) all_0_80_80 = e1
% 45.69/15.13  																								|
% 45.69/15.13  																									| Equations (824) can reduce 828 to:
% 45.69/15.13  																									| (311) $false
% 45.69/15.13  																									|
% 45.69/15.13  																									|-The branch is then unsatisfiable
% 45.69/15.13  																								|-Branch two:
% 45.69/15.13  																								| (828)  ~ (all_0_80_80 = e1)
% 45.69/15.13  																								| (477) all_0_81_81 = e1
% 45.69/15.13  																								|
% 45.69/15.13  																									| Equations (477) can reduce 15 to:
% 45.69/15.13  																									| (461)  ~ (all_0_79_79 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Equations (477) can reduce 118 to:
% 45.69/15.13  																									| (24696)  ~ (all_0_85_85 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Simplifying 24696 yields:
% 45.69/15.13  																									| (128)  ~ (all_0_85_85 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Equations (477) can reduce 277 to:
% 45.69/15.13  																									| (480)  ~ (all_0_93_93 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Simplifying 480 yields:
% 45.69/15.13  																									| (481)  ~ (all_0_93_93 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Equations (477) can reduce 5 to:
% 45.69/15.13  																									| (1803)  ~ (all_0_98_98 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Simplifying 1803 yields:
% 45.69/15.13  																									| (1804)  ~ (all_0_98_98 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Equations (477) can reduce 396 to:
% 45.69/15.13  																									| (487)  ~ (e2 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									| Simplifying 487 yields:
% 45.69/15.13  																									| (243)  ~ (e2 = e1)
% 45.69/15.13  																									|
% 45.69/15.13  																									+-Applying beta-rule and splitting (641), into two cases.
% 45.69/15.13  																									|-Branch one:
% 45.69/15.13  																									| (433) all_0_80_80 = e4
% 45.69/15.13  																									|
% 45.69/15.13  																										| Equations (433) can reduce 63 to:
% 45.69/15.13  																										| (235)  ~ (all_0_79_79 = e4)
% 45.69/15.13  																										|
% 45.69/15.13  																										| Equations (433) can reduce 273 to:
% 45.69/15.13  																										| (662)  ~ (all_0_84_84 = e4)
% 45.69/15.13  																										|
% 45.69/15.13  																										| Simplifying 662 yields:
% 45.69/15.13  																										| (417)  ~ (all_0_84_84 = e4)
% 45.69/15.13  																										|
% 45.69/15.13  																										| Equations (433) can reduce 166 to:
% 45.69/15.13  																										| (23)  ~ (e4 = e0)
% 45.69/15.13  																										|
% 45.69/15.13  																										| From (433) and (233) follows:
% 45.69/15.13  																										| (4027) op(e1, e4) = all_0_60_60
% 45.69/15.13  																										|
% 45.69/15.13  																										+-Applying beta-rule and splitting (1623), into two cases.
% 45.69/15.13  																										|-Branch one:
% 45.69/15.13  																										| (457) all_0_79_79 = e1
% 45.69/15.13  																										|
% 45.69/15.13  																											| Equations (457) can reduce 461 to:
% 45.69/15.13  																											| (311) $false
% 45.69/15.13  																											|
% 45.69/15.13  																											|-The branch is then unsatisfiable
% 45.69/15.13  																										|-Branch two:
% 45.69/15.13  																										| (461)  ~ (all_0_79_79 = e1)
% 45.69/15.13  																										| (1708) all_0_79_79 = e3
% 45.69/15.13  																										|
% 45.69/15.13  																											| Equations (1708) can reduce 17 to:
% 45.69/15.13  																											| (1298)  ~ (all_0_91_91 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Simplifying 1298 yields:
% 45.69/15.13  																											| (571)  ~ (all_0_91_91 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Equations (1708) can reduce 214 to:
% 45.69/15.13  																											| (1300)  ~ (all_0_96_96 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Simplifying 1300 yields:
% 45.69/15.13  																											| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Equations (1708) can reduce 235 to:
% 45.69/15.13  																											| (783)  ~ (e4 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Simplifying 783 yields:
% 45.69/15.13  																											| (177)  ~ (e4 = e3)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Equations (1708) can reduce 1622 to:
% 45.69/15.13  																											| (169)  ~ (e3 = e2)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Equations (1708) can reduce 461 to:
% 45.69/15.13  																											| (20)  ~ (e3 = e1)
% 45.69/15.13  																											|
% 45.69/15.13  																											| Equations (1708) can reduce 9 to:
% 45.69/15.13  																											| (50)  ~ (e3 = e0)
% 45.69/15.13  																											|
% 45.69/15.13  																											| From (1708) and (184) follows:
% 45.69/15.13  																											| (11003) op(e2, e3) = all_0_52_52
% 45.69/15.13  																											|
% 45.69/15.13  																											| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 45.69/15.13  																											| (11070) all_0_52_52 = e0
% 45.69/15.13  																											|
% 45.69/15.13  																											| Instantiating formula (262) with e1, e4, all_0_60_60, e2 and discharging atoms op(e1, e4) = all_0_60_60, op(e1, e4) = e2, yields:
% 45.69/15.13  																											| (4076) all_0_60_60 = e2
% 45.69/15.13  																											|
% 45.69/15.13  																											+-Applying beta-rule and splitting (33), into two cases.
% 45.69/15.13  																											|-Branch one:
% 45.69/15.13  																											| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.69/15.13  																											|
% 45.69/15.13  																												+-Applying beta-rule and splitting (1686), into two cases.
% 45.69/15.13  																												|-Branch one:
% 45.69/15.13  																												| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.69/15.13  																												|
% 45.69/15.13  																													+-Applying beta-rule and splitting (1687), into two cases.
% 45.69/15.13  																													|-Branch one:
% 45.69/15.13  																													| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.69/15.13  																													|
% 45.69/15.13  																														| Applying alpha-rule on (1688) yields:
% 45.69/15.13  																														| (1689) all_0_52_52 = e4
% 45.69/15.13  																														| (1690)  ~ (all_0_53_53 = e2)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Combining equations (1689,11070) yields a new equation:
% 45.69/15.13  																														| (911) e4 = e0
% 45.69/15.13  																														|
% 45.69/15.13  																														| Simplifying 911 yields:
% 45.69/15.13  																														| (912) e4 = e0
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (912) can reduce 23 to:
% 45.69/15.13  																														| (311) $false
% 45.69/15.13  																														|
% 45.69/15.13  																														|-The branch is then unsatisfiable
% 45.69/15.13  																													|-Branch two:
% 45.69/15.13  																													| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.69/15.13  																													|
% 45.69/15.13  																														| Applying alpha-rule on (1694) yields:
% 45.69/15.13  																														| (1695) all_0_54_54 = e3
% 45.69/15.13  																														| (1696)  ~ (all_0_55_55 = e2)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Combining equations (1695,1647) yields a new equation:
% 45.69/15.13  																														| (434) e4 = e3
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (434) can reduce 177 to:
% 45.69/15.13  																														| (311) $false
% 45.69/15.13  																														|
% 45.69/15.13  																														|-The branch is then unsatisfiable
% 45.69/15.13  																												|-Branch two:
% 45.69/15.13  																												| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.69/15.13  																												|
% 45.69/15.13  																													| Applying alpha-rule on (1700) yields:
% 45.69/15.13  																													| (1701) all_0_56_56 = e1
% 45.69/15.13  																													| (1702)  ~ (all_0_57_57 = e2)
% 45.69/15.13  																													|
% 45.69/15.13  																													| From (1701) and (222) follows:
% 45.69/15.13  																													| (1703) op(e2, all_0_91_91) = e1
% 45.69/15.13  																													|
% 45.69/15.13  																													+-Applying beta-rule and splitting (109), into two cases.
% 45.69/15.13  																													|-Branch one:
% 45.69/15.13  																													| (469) all_0_82_82 = e4
% 45.69/15.13  																													|
% 45.69/15.13  																														| Equations (469) can reduce 7 to:
% 45.69/15.13  																														| (662)  ~ (all_0_84_84 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Simplifying 662 yields:
% 45.69/15.13  																														| (417)  ~ (all_0_84_84 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (469) can reduce 209 to:
% 45.69/15.13  																														| (647)  ~ (all_0_85_85 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Simplifying 647 yields:
% 45.69/15.13  																														| (648)  ~ (all_0_85_85 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (469) can reduce 200 to:
% 45.69/15.13  																														| (314)  ~ (all_0_95_95 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Simplifying 314 yields:
% 45.69/15.13  																														| (315)  ~ (all_0_95_95 = e4)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (469) can reduce 198 to:
% 45.69/15.13  																														| (256)  ~ (e4 = e1)
% 45.69/15.13  																														|
% 45.69/15.13  																														| Equations (469) can reduce 914 to:
% 45.69/15.13  																														| (23)  ~ (e4 = e0)
% 45.69/15.13  																														|
% 45.69/15.13  																														+-Applying beta-rule and splitting (168), into two cases.
% 45.69/15.13  																														|-Branch one:
% 45.69/15.13  																														| (638) all_0_81_81 = e4
% 45.69/15.13  																														|
% 45.69/15.13  																															| Combining equations (477,638) yields a new equation:
% 45.69/15.13  																															| (814) e4 = e1
% 45.69/15.13  																															|
% 45.69/15.13  																															| Equations (814) can reduce 256 to:
% 45.69/15.13  																															| (311) $false
% 45.69/15.13  																															|
% 45.69/15.13  																															|-The branch is then unsatisfiable
% 45.69/15.13  																														|-Branch two:
% 45.69/15.13  																														| (634)  ~ (all_0_81_81 = e4)
% 45.69/15.13  																														| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 45.69/15.13  																														|
% 45.69/15.13  																															+-Applying beta-rule and splitting (2559), into two cases.
% 45.69/15.13  																															|-Branch one:
% 45.69/15.13  																															| (493) all_0_85_85 = e4
% 45.69/15.13  																															|
% 45.69/15.13  																																| Equations (493) can reduce 648 to:
% 45.69/15.13  																																| (311) $false
% 45.69/15.13  																																|
% 45.69/15.13  																																|-The branch is then unsatisfiable
% 45.69/15.13  																															|-Branch two:
% 45.69/15.13  																															| (648)  ~ (all_0_85_85 = e4)
% 45.69/15.13  																															| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 45.69/15.13  																															|
% 45.69/15.13  																																+-Applying beta-rule and splitting (2576), into two cases.
% 45.69/15.13  																																|-Branch one:
% 45.69/15.13  																																| (607) all_0_93_93 = e4
% 45.69/15.13  																																|
% 45.69/15.13  																																	| Equations (607) can reduce 201 to:
% 45.69/15.13  																																	| (648)  ~ (all_0_85_85 = e4)
% 45.69/15.13  																																	|
% 45.69/15.13  																																	| Equations (607) can reduce 34 to:
% 45.69/15.13  																																	| (467)  ~ (all_0_90_90 = e4)
% 45.69/15.13  																																	|
% 45.69/15.13  																																	+-Applying beta-rule and splitting (171), into two cases.
% 45.69/15.13  																																	|-Branch one:
% 45.69/15.13  																																	| (789) all_0_82_82 = e3
% 45.69/15.13  																																	|
% 45.69/15.13  																																		| Combining equations (469,789) yields a new equation:
% 45.69/15.13  																																		| (790) e4 = e3
% 45.69/15.13  																																		|
% 45.69/15.13  																																		| Simplifying 790 yields:
% 45.69/15.13  																																		| (434) e4 = e3
% 45.69/15.13  																																		|
% 45.69/15.13  																																		| Equations (434) can reduce 177 to:
% 45.69/15.13  																																		| (311) $false
% 45.69/15.13  																																		|
% 45.69/15.13  																																		|-The branch is then unsatisfiable
% 45.69/15.13  																																	|-Branch two:
% 45.69/15.13  																																	| (793)  ~ (all_0_82_82 = e3)
% 45.69/15.13  																																	| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.69/15.13  																																	|
% 45.69/15.13  																																		+-Applying beta-rule and splitting (220), into two cases.
% 45.69/15.13  																																		|-Branch one:
% 45.69/15.13  																																		| (771) all_0_78_78 = e3
% 45.69/15.13  																																		|
% 45.69/15.13  																																			| Combining equations (400,771) yields a new equation:
% 45.69/15.13  																																			| (548) e3 = e2
% 45.69/15.13  																																			|
% 45.69/15.13  																																			| Equations (548) can reduce 169 to:
% 45.69/15.13  																																			| (311) $false
% 45.69/15.13  																																			|
% 45.69/15.13  																																			|-The branch is then unsatisfiable
% 45.69/15.13  																																		|-Branch two:
% 45.69/15.13  																																		| (418)  ~ (all_0_78_78 = e3)
% 45.69/15.14  																																		| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.69/15.14  																																		|
% 45.69/15.14  																																			| Equations (400) can reduce 418 to:
% 45.69/15.14  																																			| (356)  ~ (e3 = e2)
% 45.69/15.14  																																			|
% 45.69/15.14  																																			| Simplifying 356 yields:
% 45.69/15.14  																																			| (169)  ~ (e3 = e2)
% 45.69/15.14  																																			|
% 45.69/15.14  																																			+-Applying beta-rule and splitting (92), into two cases.
% 45.69/15.14  																																			|-Branch one:
% 45.69/15.14  																																			| (552) all_0_84_84 = e2
% 45.69/15.14  																																			|
% 45.69/15.14  																																				| Equations (552) can reduce 612 to:
% 45.69/15.14  																																				| (311) $false
% 45.69/15.14  																																				|
% 45.69/15.14  																																				|-The branch is then unsatisfiable
% 45.69/15.14  																																			|-Branch two:
% 45.69/15.14  																																			| (612)  ~ (all_0_84_84 = e2)
% 45.69/15.14  																																			| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 45.69/15.14  																																			|
% 45.69/15.14  																																				+-Applying beta-rule and splitting (249), into two cases.
% 45.69/15.14  																																				|-Branch one:
% 45.69/15.14  																																				| (910) all_0_82_82 = e0
% 45.69/15.14  																																				|
% 45.69/15.14  																																					| Combining equations (469,910) yields a new equation:
% 45.69/15.14  																																					| (911) e4 = e0
% 45.69/15.14  																																					|
% 45.69/15.14  																																					| Simplifying 911 yields:
% 45.69/15.14  																																					| (912) e4 = e0
% 45.69/15.14  																																					|
% 45.69/15.14  																																					| Equations (912) can reduce 23 to:
% 45.69/15.14  																																					| (311) $false
% 45.69/15.14  																																					|
% 45.69/15.14  																																					|-The branch is then unsatisfiable
% 45.69/15.14  																																				|-Branch two:
% 45.69/15.14  																																				| (914)  ~ (all_0_82_82 = e0)
% 45.69/15.14  																																				| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.14  																																				|
% 45.69/15.14  																																					+-Applying beta-rule and splitting (84), into two cases.
% 45.69/15.14  																																					|-Branch one:
% 45.69/15.14  																																					| (1704) all_0_96_96 = e2
% 45.69/15.14  																																					|
% 45.69/15.14  																																						| Equations (1704) can reduce 1638 to:
% 45.69/15.14  																																						| (311) $false
% 45.69/15.14  																																						|
% 45.69/15.14  																																						|-The branch is then unsatisfiable
% 45.69/15.14  																																					|-Branch two:
% 45.69/15.14  																																					| (1638)  ~ (all_0_96_96 = e2)
% 45.69/15.14  																																					| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.69/15.14  																																					|
% 45.69/15.14  																																						+-Applying beta-rule and splitting (270), into two cases.
% 45.69/15.14  																																						|-Branch one:
% 45.69/15.14  																																						| (744) all_0_95_95 = e3
% 45.69/15.14  																																						|
% 45.69/15.14  																																							| Equations (744) can reduce 229 to:
% 45.69/15.14  																																							| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.14  																																							|
% 45.69/15.14  																																							+-Applying beta-rule and splitting (132), into two cases.
% 45.69/15.14  																																							|-Branch one:
% 45.69/15.14  																																							| (750) all_0_90_90 = e1
% 45.69/15.14  																																							|
% 45.69/15.14  																																								| Equations (750) can reduce 103 to:
% 45.69/15.14  																																								| (1669)  ~ (all_0_91_91 = e1)
% 45.69/15.14  																																								|
% 45.69/15.14  																																								| Simplifying 1669 yields:
% 45.69/15.14  																																								| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.14  																																								|
% 45.69/15.14  																																								| Equations (750) can reduce 294 to:
% 45.69/15.14  																																								| (487)  ~ (e2 = e1)
% 45.69/15.14  																																								|
% 45.69/15.14  																																								| Simplifying 487 yields:
% 45.69/15.14  																																								| (243)  ~ (e2 = e1)
% 45.69/15.14  																																								|
% 45.69/15.14  																																								+-Applying beta-rule and splitting (284), into two cases.
% 45.69/15.14  																																								|-Branch one:
% 45.69/15.14  																																								| (1723) all_0_91_91 = e2
% 45.69/15.14  																																								|
% 45.69/15.14  																																									| Equations (1723) can reduce 296 to:
% 45.69/15.14  																																									| (311) $false
% 45.69/15.14  																																									|
% 45.69/15.14  																																									|-The branch is then unsatisfiable
% 45.69/15.14  																																								|-Branch two:
% 45.69/15.14  																																								| (296)  ~ (all_0_91_91 = e2)
% 45.69/15.14  																																								| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 45.69/15.14  																																								|
% 45.69/15.14  																																									+-Applying beta-rule and splitting (1726), into two cases.
% 45.69/15.14  																																									|-Branch one:
% 45.69/15.14  																																									| (801) all_0_91_91 = e1
% 45.69/15.14  																																									|
% 45.69/15.14  																																										| Equations (801) can reduce 959 to:
% 45.69/15.14  																																										| (311) $false
% 45.69/15.14  																																										|
% 45.69/15.14  																																										|-The branch is then unsatisfiable
% 45.69/15.14  																																									|-Branch two:
% 45.69/15.14  																																									| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.14  																																									| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 45.69/15.14  																																									|
% 45.69/15.14  																																										+-Applying beta-rule and splitting (1880), into two cases.
% 45.69/15.14  																																										|-Branch one:
% 45.69/15.14  																																										| (588) all_0_91_91 = e3
% 45.69/15.14  																																										|
% 45.69/15.14  																																											| Equations (588) can reduce 571 to:
% 45.69/15.14  																																											| (311) $false
% 45.69/15.14  																																											|
% 45.69/15.14  																																											|-The branch is then unsatisfiable
% 45.69/15.14  																																										|-Branch two:
% 45.69/15.14  																																										| (571)  ~ (all_0_91_91 = e3)
% 45.69/15.14  																																										| (1456) all_0_91_91 = e0
% 45.69/15.14  																																										|
% 45.69/15.14  																																											| From (1456) and (1703) follows:
% 45.69/15.14  																																											| (2305) op(e2, e0) = e1
% 45.69/15.14  																																											|
% 45.69/15.14  																																											| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 45.69/15.14  																																											| (385) e2 = e1
% 45.69/15.14  																																											|
% 45.69/15.14  																																											| Equations (385) can reduce 243 to:
% 45.69/15.14  																																											| (311) $false
% 45.69/15.14  																																											|
% 45.69/15.14  																																											|-The branch is then unsatisfiable
% 45.69/15.14  																																							|-Branch two:
% 45.69/15.14  																																							| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.14  																																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.14  																																							|
% 45.69/15.14  																																								+-Applying beta-rule and splitting (27), into two cases.
% 45.69/15.14  																																								|-Branch one:
% 45.69/15.14  																																								| (746) all_0_90_90 = e2
% 45.69/15.14  																																								|
% 45.69/15.14  																																									| Equations (746) can reduce 294 to:
% 45.69/15.14  																																									| (311) $false
% 45.69/15.14  																																									|
% 45.69/15.14  																																									|-The branch is then unsatisfiable
% 45.69/15.14  																																								|-Branch two:
% 45.69/15.14  																																								| (294)  ~ (all_0_90_90 = e2)
% 45.69/15.14  																																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.69/15.14  																																								|
% 45.69/15.14  																																									+-Applying beta-rule and splitting (282), into two cases.
% 45.69/15.14  																																									|-Branch one:
% 45.69/15.14  																																									| (754) all_0_90_90 = e3
% 45.69/15.14  																																									|
% 45.69/15.14  																																										| Equations (754) can reduce 745 to:
% 45.69/15.14  																																										| (311) $false
% 45.69/15.14  																																										|
% 45.69/15.14  																																										|-The branch is then unsatisfiable
% 45.69/15.14  																																									|-Branch two:
% 45.69/15.14  																																									| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.14  																																									| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.14  																																									|
% 45.69/15.14  																																										+-Applying beta-rule and splitting (291), into two cases.
% 45.69/15.14  																																										|-Branch one:
% 45.69/15.14  																																										| (758) all_0_90_90 = e0
% 45.69/15.14  																																										|
% 45.69/15.14  																																											| Equations (758) can reduce 762 to:
% 45.69/15.14  																																											| (311) $false
% 45.69/15.14  																																											|
% 45.69/15.14  																																											|-The branch is then unsatisfiable
% 45.69/15.14  																																										|-Branch two:
% 45.69/15.14  																																										| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.14  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.14  																																										|
% 45.69/15.14  																																											+-Applying beta-rule and splitting (749), into two cases.
% 45.69/15.14  																																											|-Branch one:
% 45.69/15.14  																																											| (750) all_0_90_90 = e1
% 45.69/15.14  																																											|
% 45.69/15.14  																																												| Equations (750) can reduce 678 to:
% 45.69/15.14  																																												| (311) $false
% 45.69/15.14  																																												|
% 45.69/15.14  																																												|-The branch is then unsatisfiable
% 45.69/15.14  																																											|-Branch two:
% 45.69/15.14  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.14  																																											| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.69/15.14  																																											|
% 45.69/15.14  																																												+-Applying beta-rule and splitting (753), into two cases.
% 45.69/15.14  																																												|-Branch one:
% 45.69/15.14  																																												| (754) all_0_90_90 = e3
% 45.69/15.14  																																												|
% 45.69/15.14  																																													| Equations (754) can reduce 745 to:
% 45.69/15.14  																																													| (311) $false
% 45.69/15.14  																																													|
% 45.69/15.14  																																													|-The branch is then unsatisfiable
% 45.69/15.14  																																												|-Branch two:
% 45.69/15.14  																																												| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.14  																																												| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.69/15.14  																																												|
% 45.69/15.14  																																													+-Applying beta-rule and splitting (757), into two cases.
% 45.69/15.14  																																													|-Branch one:
% 45.69/15.14  																																													| (758) all_0_90_90 = e0
% 45.69/15.14  																																													|
% 45.69/15.14  																																														| Equations (758) can reduce 762 to:
% 45.69/15.14  																																														| (311) $false
% 45.69/15.14  																																														|
% 45.69/15.14  																																														|-The branch is then unsatisfiable
% 45.69/15.14  																																													|-Branch two:
% 45.69/15.14  																																													| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.14  																																													| (583) all_0_90_90 = e4
% 45.69/15.14  																																													|
% 45.69/15.14  																																														| Equations (583) can reduce 467 to:
% 45.69/15.14  																																														| (311) $false
% 45.69/15.14  																																														|
% 45.69/15.14  																																														|-The branch is then unsatisfiable
% 45.69/15.14  																																						|-Branch two:
% 45.69/15.14  																																						| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.14  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.14  																																						|
% 45.69/15.14  																																							+-Applying beta-rule and splitting (766), into two cases.
% 45.69/15.14  																																							|-Branch one:
% 45.69/15.14  																																							| (778) all_0_96_96 = e3
% 45.69/15.14  																																							|
% 45.69/15.14  																																								| Equations (778) can reduce 964 to:
% 45.69/15.14  																																								| (311) $false
% 45.69/15.14  																																								|
% 45.69/15.14  																																								|-The branch is then unsatisfiable
% 45.69/15.14  																																							|-Branch two:
% 45.69/15.14  																																							| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.14  																																							| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.14  																																							|
% 45.69/15.14  																																								+-Applying beta-rule and splitting (965), into two cases.
% 45.69/15.14  																																								|-Branch one:
% 45.69/15.14  																																								| (556) all_0_97_97 = e3
% 45.69/15.14  																																								|
% 45.69/15.14  																																									| Combining equations (556,538) yields a new equation:
% 45.69/15.14  																																									| (547) e3 = e2
% 45.69/15.14  																																									|
% 45.69/15.14  																																									| Simplifying 547 yields:
% 45.69/15.14  																																									| (548) e3 = e2
% 45.69/15.14  																																									|
% 45.69/15.14  																																									| Equations (548) can reduce 169 to:
% 45.69/15.14  																																									| (311) $false
% 45.69/15.14  																																									|
% 45.69/15.14  																																									|-The branch is then unsatisfiable
% 45.69/15.14  																																								|-Branch two:
% 45.69/15.14  																																								| (428)  ~ (all_0_97_97 = e3)
% 45.69/15.14  																																								| (969) all_0_98_98 = e3
% 45.69/15.14  																																								|
% 45.69/15.14  																																									| Equations (969) can reduce 75 to:
% 45.69/15.14  																																									| (952)  ~ (all_0_85_85 = e3)
% 45.69/15.14  																																									|
% 45.69/15.14  																																									| Equations (969) can reduce 107 to:
% 45.69/15.14  																																									| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.14  																																									|
% 45.69/15.14  																																									| Equations (969) can reduce 43 to:
% 45.69/15.14  																																									| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.14  																																									|
% 45.69/15.14  																																									| Equations (969) can reduce 1349 to:
% 45.69/15.14  																																									| (169)  ~ (e3 = e2)
% 45.69/15.14  																																									|
% 45.69/15.14  																																									+-Applying beta-rule and splitting (99), into two cases.
% 45.69/15.14  																																									|-Branch one:
% 45.69/15.14  																																									| (767) all_0_95_95 = e2
% 45.69/15.14  																																									|
% 45.69/15.14  																																										| Equations (767) can reduce 355 to:
% 45.69/15.14  																																										| (311) $false
% 45.69/15.14  																																										|
% 45.69/15.14  																																										|-The branch is then unsatisfiable
% 45.69/15.14  																																									|-Branch two:
% 45.69/15.14  																																									| (355)  ~ (all_0_95_95 = e2)
% 45.69/15.14  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.69/15.14  																																									|
% 45.69/15.14  																																										+-Applying beta-rule and splitting (770), into two cases.
% 45.69/15.14  																																										|-Branch one:
% 45.69/15.14  																																										| (785) all_0_95_95 = e1
% 45.69/15.14  																																										|
% 45.69/15.14  																																											| Equations (785) can reduce 229 to:
% 45.69/15.14  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.14  																																											|
% 45.69/15.14  																																											| Equations (785) can reduce 279 to:
% 45.69/15.14  																																											| (1671)  ~ (all_0_96_96 = e1)
% 45.69/15.14  																																											|
% 45.69/15.14  																																											| Simplifying 1671 yields:
% 45.69/15.14  																																											| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.14  																																											|
% 45.69/15.14  																																											| From (785) and (976) follows:
% 45.69/15.14  																																											| (12396) op(e3, e1) = e0
% 45.69/15.14  																																											|
% 45.69/15.14  																																											+-Applying beta-rule and splitting (132), into two cases.
% 45.69/15.14  																																											|-Branch one:
% 45.69/15.14  																																											| (750) all_0_90_90 = e1
% 45.69/15.14  																																											|
% 45.69/15.14  																																												| Equations (750) can reduce 678 to:
% 45.69/15.14  																																												| (311) $false
% 45.69/15.14  																																												|
% 45.69/15.14  																																												|-The branch is then unsatisfiable
% 45.69/15.14  																																											|-Branch two:
% 45.69/15.14  																																											| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.14  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.14  																																											|
% 45.69/15.14  																																												+-Applying beta-rule and splitting (1526), into two cases.
% 45.69/15.14  																																												|-Branch one:
% 45.69/15.14  																																												| (801) all_0_91_91 = e1
% 45.69/15.14  																																												|
% 45.69/15.14  																																													| Equations (801) can reduce 103 to:
% 45.69/15.14  																																													| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.14  																																													|
% 45.69/15.14  																																													| Equations (801) can reduce 265 to:
% 45.69/15.14  																																													| (2131)  ~ (all_0_92_92 = e1)
% 45.69/15.14  																																													|
% 45.69/15.14  																																													| Simplifying 2131 yields:
% 45.69/15.14  																																													| (840)  ~ (all_0_92_92 = e1)
% 45.69/15.14  																																													|
% 45.69/15.14  																																													| Equations (801) can reduce 64 to:
% 45.69/15.14  																																													| (1671)  ~ (all_0_96_96 = e1)
% 45.69/15.14  																																													|
% 45.69/15.14  																																													| Simplifying 1671 yields:
% 45.69/15.14  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.14  																																													|
% 45.69/15.14  																																													+-Applying beta-rule and splitting (291), into two cases.
% 45.69/15.14  																																													|-Branch one:
% 45.69/15.14  																																													| (758) all_0_90_90 = e0
% 45.69/15.14  																																													|
% 45.69/15.14  																																														| Equations (758) can reduce 762 to:
% 45.69/15.14  																																														| (311) $false
% 45.69/15.14  																																														|
% 45.69/15.14  																																														|-The branch is then unsatisfiable
% 45.69/15.14  																																													|-Branch two:
% 45.69/15.14  																																													| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.14  																																													| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.14  																																													|
% 45.69/15.14  																																														+-Applying beta-rule and splitting (27), into two cases.
% 45.69/15.14  																																														|-Branch one:
% 45.69/15.14  																																														| (746) all_0_90_90 = e2
% 45.69/15.14  																																														|
% 45.69/15.14  																																															| Equations (746) can reduce 294 to:
% 45.69/15.14  																																															| (311) $false
% 45.69/15.14  																																															|
% 45.69/15.14  																																															|-The branch is then unsatisfiable
% 45.69/15.14  																																														|-Branch two:
% 45.69/15.14  																																														| (294)  ~ (all_0_90_90 = e2)
% 45.69/15.14  																																														| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.69/15.14  																																														|
% 45.69/15.14  																																															+-Applying beta-rule and splitting (1707), into two cases.
% 45.69/15.14  																																															|-Branch one:
% 45.69/15.14  																																															| (960) all_0_96_96 = e1
% 45.69/15.14  																																															|
% 45.69/15.14  																																																| Equations (960) can reduce 1479 to:
% 45.69/15.14  																																																| (311) $false
% 45.69/15.14  																																																|
% 45.69/15.14  																																																|-The branch is then unsatisfiable
% 45.69/15.14  																																															|-Branch two:
% 45.69/15.14  																																															| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.14  																																															| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.69/15.14  																																															|
% 45.69/15.14  																																																+-Applying beta-rule and splitting (289), into two cases.
% 45.69/15.14  																																																|-Branch one:
% 45.69/15.14  																																																| (954) all_0_85_85 = e0
% 45.69/15.14  																																																|
% 45.69/15.14  																																																	| Equations (954) can reduce 154 to:
% 45.69/15.14  																																																	| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																	| Equations (954) can reduce 648 to:
% 45.69/15.14  																																																	| (904)  ~ (e4 = e0)
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																	| Simplifying 904 yields:
% 45.69/15.14  																																																	| (23)  ~ (e4 = e0)
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																	| Equations (954) can reduce 128 to:
% 45.69/15.14  																																																	| (859)  ~ (e1 = e0)
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																	| Simplifying 859 yields:
% 45.69/15.14  																																																	| (264)  ~ (e1 = e0)
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 45.69/15.14  																																																	|-Branch one:
% 45.69/15.14  																																																	| (916) all_0_84_84 = e0
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																		| Equations (916) can reduce 919 to:
% 45.69/15.14  																																																		| (311) $false
% 45.69/15.14  																																																		|
% 45.69/15.14  																																																		|-The branch is then unsatisfiable
% 45.69/15.14  																																																	|-Branch two:
% 45.69/15.14  																																																	| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.14  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.69/15.14  																																																	|
% 45.69/15.14  																																																		+-Applying beta-rule and splitting (617), into two cases.
% 45.69/15.14  																																																		|-Branch one:
% 45.69/15.14  																																																		| (1265) all_0_84_84 = e3
% 45.69/15.14  																																																		|
% 45.69/15.14  																																																			| From (1265) and (232) follows:
% 45.69/15.14  																																																			| (10098) op(e3, e1) = e3
% 45.69/15.14  																																																			|
% 45.69/15.14  																																																			+-Applying beta-rule and splitting (282), into two cases.
% 45.69/15.14  																																																			|-Branch one:
% 45.69/15.14  																																																			| (754) all_0_90_90 = e3
% 45.69/15.14  																																																			|
% 45.69/15.14  																																																				| Equations (754) can reduce 72 to:
% 45.69/15.14  																																																				| (425)  ~ (all_0_92_92 = e3)
% 45.69/15.14  																																																				|
% 45.69/15.14  																																																				| Simplifying 425 yields:
% 45.69/15.14  																																																				| (426)  ~ (all_0_92_92 = e3)
% 45.69/15.14  																																																				|
% 45.69/15.14  																																																				+-Applying beta-rule and splitting (119), into two cases.
% 45.69/15.14  																																																				|-Branch one:
% 45.69/15.14  																																																				| (1343) all_0_92_92 = e2
% 45.69/15.14  																																																				|
% 45.69/15.14  																																																					| Equations (1343) can reduce 298 to:
% 45.69/15.14  																																																					| (311) $false
% 45.69/15.14  																																																					|
% 45.69/15.14  																																																					|-The branch is then unsatisfiable
% 45.69/15.14  																																																				|-Branch two:
% 45.69/15.14  																																																				| (298)  ~ (all_0_92_92 = e2)
% 45.69/15.14  																																																				| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.69/15.14  																																																				|
% 45.69/15.14  																																																					+-Applying beta-rule and splitting (2016), into two cases.
% 45.69/15.14  																																																					|-Branch one:
% 45.69/15.14  																																																					| (778) all_0_96_96 = e3
% 45.69/15.14  																																																					|
% 45.69/15.14  																																																						| Equations (778) can reduce 964 to:
% 45.69/15.14  																																																						| (311) $false
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																						|-The branch is then unsatisfiable
% 45.69/15.14  																																																					|-Branch two:
% 45.69/15.14  																																																					| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.14  																																																					| (1837) all_0_96_96 = e0
% 45.69/15.14  																																																					|
% 45.69/15.14  																																																						| Equations (1837) can reduce 1638 to:
% 45.69/15.14  																																																						| (510)  ~ (e2 = e0)
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																						| Simplifying 510 yields:
% 45.69/15.14  																																																						| (76)  ~ (e2 = e0)
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																						| Equations (1837) can reduce 1479 to:
% 45.69/15.14  																																																						| (859)  ~ (e1 = e0)
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																						| Simplifying 859 yields:
% 45.69/15.14  																																																						| (264)  ~ (e1 = e0)
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																						+-Applying beta-rule and splitting (3735), into two cases.
% 45.69/15.14  																																																						|-Branch one:
% 45.69/15.14  																																																						| (836) all_0_92_92 = e1
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																							| Equations (836) can reduce 840 to:
% 45.69/15.14  																																																							| (311) $false
% 45.69/15.14  																																																							|
% 45.69/15.14  																																																							|-The branch is then unsatisfiable
% 45.69/15.14  																																																						|-Branch two:
% 45.69/15.14  																																																						| (840)  ~ (all_0_92_92 = e1)
% 45.69/15.14  																																																						| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.69/15.14  																																																						|
% 45.69/15.14  																																																							+-Applying beta-rule and splitting (920), into two cases.
% 45.69/15.14  																																																							|-Branch one:
% 45.69/15.14  																																																							| (861) all_0_87_87 = e0
% 45.69/15.14  																																																							|
% 45.69/15.14  																																																								| Combining equations (482,861) yields a new equation:
% 45.69/15.14  																																																								| (1107) e1 = e0
% 45.69/15.14  																																																								|
% 45.69/15.14  																																																								| Simplifying 1107 yields:
% 45.69/15.14  																																																								| (865) e1 = e0
% 45.69/15.14  																																																								|
% 45.69/15.14  																																																								| Equations (865) can reduce 264 to:
% 45.69/15.14  																																																								| (311) $false
% 45.69/15.14  																																																								|
% 45.69/15.14  																																																								|-The branch is then unsatisfiable
% 45.69/15.14  																																																							|-Branch two:
% 45.69/15.14  																																																							| (889)  ~ (all_0_87_87 = e0)
% 45.69/15.14  																																																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.69/15.14  																																																							|
% 45.69/15.14  																																																								+-Applying beta-rule and splitting (3800), into two cases.
% 45.69/15.14  																																																								|-Branch one:
% 45.69/15.14  																																																								| (882) all_0_92_92 = e3
% 45.69/15.14  																																																								|
% 45.69/15.14  																																																									| Equations (882) can reduce 426 to:
% 45.69/15.14  																																																									| (311) $false
% 45.69/15.14  																																																									|
% 45.69/15.14  																																																									|-The branch is then unsatisfiable
% 45.69/15.14  																																																								|-Branch two:
% 45.69/15.14  																																																								| (426)  ~ (all_0_92_92 = e3)
% 45.69/15.15  																																																								| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																									+-Applying beta-rule and splitting (931), into two cases.
% 45.69/15.15  																																																									|-Branch one:
% 45.69/15.15  																																																									| (942) all_0_92_92 = e0
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																										| Equations (942) can reduce 426 to:
% 45.69/15.15  																																																										| (906)  ~ (e3 = e0)
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Simplifying 906 yields:
% 45.69/15.15  																																																										| (50)  ~ (e3 = e0)
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Instantiating formula (262) with e3, e1, e0, e3 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields:
% 45.69/15.15  																																																										| (600) e3 = e0
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Equations (600) can reduce 50 to:
% 45.69/15.15  																																																										| (311) $false
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										|-The branch is then unsatisfiable
% 45.69/15.15  																																																									|-Branch two:
% 45.69/15.15  																																																									| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.15  																																																									| (560) all_0_97_97 = e0
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																										| Combining equations (560,538) yields a new equation:
% 45.69/15.15  																																																										| (379) e2 = e0
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Equations (379) can reduce 76 to:
% 45.69/15.15  																																																										| (311) $false
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										|-The branch is then unsatisfiable
% 45.69/15.15  																																																			|-Branch two:
% 45.69/15.15  																																																			| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.15  																																																			| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 45.69/15.15  																																																				|-Branch one:
% 45.69/15.15  																																																				| (1456) all_0_91_91 = e0
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																					| Combining equations (801,1456) yields a new equation:
% 45.69/15.15  																																																					| (1107) e1 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					| Simplifying 1107 yields:
% 45.69/15.15  																																																					| (865) e1 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					| Equations (865) can reduce 264 to:
% 45.69/15.15  																																																					| (311) $false
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					|-The branch is then unsatisfiable
% 45.69/15.15  																																																				|-Branch two:
% 45.69/15.15  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 45.69/15.15  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																					+-Applying beta-rule and splitting (749), into two cases.
% 45.69/15.15  																																																					|-Branch one:
% 45.69/15.15  																																																					| (750) all_0_90_90 = e1
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																						| Equations (750) can reduce 678 to:
% 45.69/15.15  																																																						| (311) $false
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																						|-The branch is then unsatisfiable
% 45.69/15.15  																																																					|-Branch two:
% 45.69/15.15  																																																					| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.15  																																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																						+-Applying beta-rule and splitting (1488), into two cases.
% 45.69/15.15  																																																						|-Branch one:
% 45.69/15.15  																																																						| (942) all_0_92_92 = e0
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							| Equations (942) can reduce 72 to:
% 45.69/15.15  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							+-Applying beta-rule and splitting (753), into two cases.
% 45.69/15.15  																																																							|-Branch one:
% 45.69/15.15  																																																							| (754) all_0_90_90 = e3
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								| Equations (754) can reduce 745 to:
% 45.69/15.15  																																																								| (311) $false
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								|-The branch is then unsatisfiable
% 45.69/15.15  																																																							|-Branch two:
% 45.69/15.15  																																																							| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.15  																																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								+-Applying beta-rule and splitting (757), into two cases.
% 45.69/15.15  																																																								|-Branch one:
% 45.69/15.15  																																																								| (758) all_0_90_90 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																									| Equations (758) can reduce 762 to:
% 45.69/15.15  																																																									| (311) $false
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																									|-The branch is then unsatisfiable
% 45.69/15.15  																																																								|-Branch two:
% 45.69/15.15  																																																								| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.15  																																																								| (583) all_0_90_90 = e4
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																									| Equations (583) can reduce 467 to:
% 45.69/15.15  																																																									| (311) $false
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																									|-The branch is then unsatisfiable
% 45.69/15.15  																																																						|-Branch two:
% 45.69/15.15  																																																						| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.15  																																																						| (604) all_0_93_93 = e0
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							| Combining equations (604,607) yields a new equation:
% 45.69/15.15  																																																							| (912) e4 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							| Equations (912) can reduce 23 to:
% 45.69/15.15  																																																							| (311) $false
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							|-The branch is then unsatisfiable
% 45.69/15.15  																																																		|-Branch two:
% 45.69/15.15  																																																		| (422)  ~ (all_0_84_84 = e3)
% 45.69/15.15  																																																		| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 45.69/15.15  																																																		|
% 45.69/15.15  																																																			+-Applying beta-rule and splitting (1268), into two cases.
% 45.69/15.15  																																																			|-Branch one:
% 45.69/15.15  																																																			| (916) all_0_84_84 = e0
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																				| Equations (916) can reduce 919 to:
% 45.69/15.15  																																																				| (311) $false
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				|-The branch is then unsatisfiable
% 45.69/15.15  																																																			|-Branch two:
% 45.69/15.15  																																																			| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.15  																																																			| (438) all_0_84_84 = e4
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																				| Equations (438) can reduce 417 to:
% 45.69/15.15  																																																				| (311) $false
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				|-The branch is then unsatisfiable
% 45.69/15.15  																																																|-Branch two:
% 45.69/15.15  																																																| (800)  ~ (all_0_85_85 = e0)
% 45.69/15.15  																																																| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.69/15.15  																																																|
% 45.69/15.15  																																																	+-Applying beta-rule and splitting (749), into two cases.
% 45.69/15.15  																																																	|-Branch one:
% 45.69/15.15  																																																	| (750) all_0_90_90 = e1
% 45.69/15.15  																																																	|
% 45.69/15.15  																																																		| Equations (750) can reduce 678 to:
% 45.69/15.15  																																																		| (311) $false
% 45.69/15.15  																																																		|
% 45.69/15.15  																																																		|-The branch is then unsatisfiable
% 45.69/15.15  																																																	|-Branch two:
% 45.69/15.15  																																																	| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.15  																																																	| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.69/15.15  																																																	|
% 45.69/15.15  																																																		+-Applying beta-rule and splitting (1296), into two cases.
% 45.69/15.15  																																																		|-Branch one:
% 45.69/15.15  																																																		| (795) all_0_83_83 = e3
% 45.69/15.15  																																																		|
% 45.69/15.15  																																																			| Combining equations (453,795) yields a new equation:
% 45.69/15.15  																																																			| (548) e3 = e2
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																			| Equations (548) can reduce 169 to:
% 45.69/15.15  																																																			| (311) $false
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																			|-The branch is then unsatisfiable
% 45.69/15.15  																																																		|-Branch two:
% 45.69/15.15  																																																		| (779)  ~ (all_0_83_83 = e3)
% 45.69/15.15  																																																		| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.69/15.15  																																																		|
% 45.69/15.15  																																																			+-Applying beta-rule and splitting (2016), into two cases.
% 45.69/15.15  																																																			|-Branch one:
% 45.69/15.15  																																																			| (778) all_0_96_96 = e3
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																				| Equations (778) can reduce 964 to:
% 45.69/15.15  																																																				| (311) $false
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				|-The branch is then unsatisfiable
% 45.69/15.15  																																																			|-Branch two:
% 45.69/15.15  																																																			| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.15  																																																			| (1837) all_0_96_96 = e0
% 45.69/15.15  																																																			|
% 45.69/15.15  																																																				| Equations (1837) can reduce 115 to:
% 45.69/15.15  																																																				| (904)  ~ (e4 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				| Simplifying 904 yields:
% 45.69/15.15  																																																				| (23)  ~ (e4 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				| Equations (1837) can reduce 1638 to:
% 45.69/15.15  																																																				| (510)  ~ (e2 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				| Simplifying 510 yields:
% 45.69/15.15  																																																				| (76)  ~ (e2 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				| Equations (1837) can reduce 1479 to:
% 45.69/15.15  																																																				| (859)  ~ (e1 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				| Simplifying 859 yields:
% 45.69/15.15  																																																				| (264)  ~ (e1 = e0)
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 45.69/15.15  																																																				|-Branch one:
% 45.69/15.15  																																																				| (1456) all_0_91_91 = e0
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																					| Combining equations (801,1456) yields a new equation:
% 45.69/15.15  																																																					| (1107) e1 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					| Simplifying 1107 yields:
% 45.69/15.15  																																																					| (865) e1 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					| Equations (865) can reduce 264 to:
% 45.69/15.15  																																																					| (311) $false
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																					|-The branch is then unsatisfiable
% 45.69/15.15  																																																				|-Branch two:
% 45.69/15.15  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 45.69/15.15  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.69/15.15  																																																				|
% 45.69/15.15  																																																					+-Applying beta-rule and splitting (753), into two cases.
% 45.69/15.15  																																																					|-Branch one:
% 45.69/15.15  																																																					| (754) all_0_90_90 = e3
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																						| Equations (754) can reduce 762 to:
% 45.69/15.15  																																																						| (50)  ~ (e3 = e0)
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																						+-Applying beta-rule and splitting (1594), into two cases.
% 45.69/15.15  																																																						|-Branch one:
% 45.69/15.15  																																																						| (1265) all_0_84_84 = e3
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							+-Applying beta-rule and splitting (2), into two cases.
% 45.69/15.15  																																																							|-Branch one:
% 45.69/15.15  																																																							| (916) all_0_84_84 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								| Combining equations (1265,916) yields a new equation:
% 45.69/15.15  																																																								| (599) e3 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								| Simplifying 599 yields:
% 45.69/15.15  																																																								| (600) e3 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								| Equations (600) can reduce 50 to:
% 45.69/15.15  																																																								| (311) $false
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								|-The branch is then unsatisfiable
% 45.69/15.15  																																																							|-Branch two:
% 45.69/15.15  																																																							| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.15  																																																							| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								| Equations (1265) can reduce 919 to:
% 45.69/15.15  																																																								| (50)  ~ (e3 = e0)
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								+-Applying beta-rule and splitting (1309), into two cases.
% 45.69/15.15  																																																								|-Branch one:
% 45.69/15.15  																																																								| (798) all_0_83_83 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																									| Combining equations (798,453) yields a new equation:
% 45.69/15.15  																																																									| (379) e2 = e0
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																									| Equations (379) can reduce 76 to:
% 45.69/15.15  																																																									| (311) $false
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																									|-The branch is then unsatisfiable
% 45.69/15.15  																																																								|-Branch two:
% 45.69/15.15  																																																								| (1314)  ~ (all_0_83_83 = e0)
% 45.69/15.15  																																																								| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																									+-Applying beta-rule and splitting (1315), into two cases.
% 45.69/15.15  																																																									|-Branch one:
% 45.69/15.15  																																																									| (916) all_0_84_84 = e0
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																										| Combining equations (1265,916) yields a new equation:
% 45.69/15.15  																																																										| (599) e3 = e0
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Simplifying 599 yields:
% 45.69/15.15  																																																										| (600) e3 = e0
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										| Equations (600) can reduce 50 to:
% 45.69/15.15  																																																										| (311) $false
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										|-The branch is then unsatisfiable
% 45.69/15.15  																																																									|-Branch two:
% 45.69/15.15  																																																									| (919)  ~ (all_0_84_84 = e0)
% 45.69/15.15  																																																									| (954) all_0_85_85 = e0
% 45.69/15.15  																																																									|
% 45.69/15.15  																																																										| Equations (954) can reduce 800 to:
% 45.69/15.15  																																																										| (311) $false
% 45.69/15.15  																																																										|
% 45.69/15.15  																																																										|-The branch is then unsatisfiable
% 45.69/15.15  																																																						|-Branch two:
% 45.69/15.15  																																																						| (422)  ~ (all_0_84_84 = e3)
% 45.69/15.15  																																																						| (804) all_0_85_85 = e3
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							| Equations (804) can reduce 952 to:
% 45.69/15.15  																																																							| (311) $false
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							|-The branch is then unsatisfiable
% 45.69/15.15  																																																					|-Branch two:
% 45.69/15.15  																																																					| (745)  ~ (all_0_90_90 = e3)
% 45.69/15.15  																																																					| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.69/15.15  																																																					|
% 45.69/15.15  																																																						+-Applying beta-rule and splitting (1488), into two cases.
% 45.69/15.15  																																																						|-Branch one:
% 45.69/15.15  																																																						| (942) all_0_92_92 = e0
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							| Equations (942) can reduce 72 to:
% 45.69/15.15  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							+-Applying beta-rule and splitting (757), into two cases.
% 45.69/15.15  																																																							|-Branch one:
% 45.69/15.15  																																																							| (758) all_0_90_90 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								| Equations (758) can reduce 762 to:
% 45.69/15.15  																																																								| (311) $false
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								|-The branch is then unsatisfiable
% 45.69/15.15  																																																							|-Branch two:
% 45.69/15.15  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.69/15.15  																																																							| (583) all_0_90_90 = e4
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																								| Equations (583) can reduce 467 to:
% 45.69/15.15  																																																								| (311) $false
% 45.69/15.15  																																																								|
% 45.69/15.15  																																																								|-The branch is then unsatisfiable
% 45.69/15.15  																																																						|-Branch two:
% 45.69/15.15  																																																						| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.15  																																																						| (604) all_0_93_93 = e0
% 45.69/15.15  																																																						|
% 45.69/15.15  																																																							| Combining equations (607,604) yields a new equation:
% 45.69/15.15  																																																							| (911) e4 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							| Simplifying 911 yields:
% 45.69/15.15  																																																							| (912) e4 = e0
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							| Equations (912) can reduce 23 to:
% 45.69/15.15  																																																							| (311) $false
% 45.69/15.15  																																																							|
% 45.69/15.15  																																																							|-The branch is then unsatisfiable
% 45.69/15.15  																																												|-Branch two:
% 45.69/15.15  																																												| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.15  																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.15  																																												|
% 45.69/15.15  																																													+-Applying beta-rule and splitting (1707), into two cases.
% 45.69/15.15  																																													|-Branch one:
% 45.69/15.15  																																													| (960) all_0_96_96 = e1
% 45.69/15.15  																																													|
% 45.69/15.15  																																														| Equations (960) can reduce 1479 to:
% 45.69/15.15  																																														| (311) $false
% 45.69/15.15  																																														|
% 45.69/15.15  																																														|-The branch is then unsatisfiable
% 45.69/15.15  																																													|-Branch two:
% 45.69/15.15  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.15  																																													| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.69/15.15  																																													|
% 45.69/15.15  																																														+-Applying beta-rule and splitting (2016), into two cases.
% 45.69/15.15  																																														|-Branch one:
% 45.69/15.15  																																														| (778) all_0_96_96 = e3
% 45.69/15.15  																																														|
% 45.69/15.15  																																															| Equations (778) can reduce 964 to:
% 45.69/15.15  																																															| (311) $false
% 45.69/15.15  																																															|
% 45.69/15.15  																																															|-The branch is then unsatisfiable
% 45.69/15.15  																																														|-Branch two:
% 45.69/15.15  																																														| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.15  																																														| (1837) all_0_96_96 = e0
% 45.69/15.15  																																														|
% 45.69/15.15  																																															| Equations (1837) can reduce 1479 to:
% 45.69/15.15  																																															| (859)  ~ (e1 = e0)
% 45.69/15.15  																																															|
% 45.69/15.15  																																															| Simplifying 859 yields:
% 45.69/15.15  																																															| (264)  ~ (e1 = e0)
% 45.69/15.15  																																															|
% 45.69/15.15  																																															+-Applying beta-rule and splitting (462), into two cases.
% 45.69/15.15  																																															|-Branch one:
% 45.69/15.15  																																															| (801) all_0_91_91 = e1
% 45.69/15.15  																																															|
% 45.69/15.15  																																																| Equations (801) can reduce 959 to:
% 45.69/15.15  																																																| (311) $false
% 45.69/15.15  																																																|
% 45.69/15.15  																																																|-The branch is then unsatisfiable
% 45.69/15.15  																																															|-Branch two:
% 45.69/15.15  																																															| (959)  ~ (all_0_91_91 = e1)
% 45.69/15.15  																																															| (960) all_0_96_96 = e1
% 45.69/15.15  																																															|
% 45.69/15.15  																																																| Combining equations (1837,960) yields a new equation:
% 45.69/15.15  																																																| (865) e1 = e0
% 45.69/15.15  																																																|
% 45.69/15.15  																																																| Equations (865) can reduce 264 to:
% 45.69/15.15  																																																| (311) $false
% 45.69/15.15  																																																|
% 45.69/15.15  																																																|-The branch is then unsatisfiable
% 45.69/15.15  																																										|-Branch two:
% 45.69/15.15  																																										| (680)  ~ (all_0_95_95 = e1)
% 45.69/15.15  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.69/15.15  																																										|
% 45.69/15.15  																																											+-Applying beta-rule and splitting (102), into two cases.
% 45.69/15.15  																																											|-Branch one:
% 45.69/15.15  																																											| (858) all_0_95_95 = e0
% 45.69/15.15  																																											|
% 45.69/15.15  																																												| Equations (858) can reduce 893 to:
% 45.69/15.15  																																												| (311) $false
% 45.69/15.15  																																												|
% 45.69/15.15  																																												|-The branch is then unsatisfiable
% 45.69/15.15  																																											|-Branch two:
% 45.69/15.15  																																											| (893)  ~ (all_0_95_95 = e0)
% 45.69/15.15  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.69/15.15  																																											|
% 45.69/15.15  																																												+-Applying beta-rule and splitting (853), into two cases.
% 45.69/15.15  																																												|-Branch one:
% 45.69/15.15  																																												| (744) all_0_95_95 = e3
% 45.69/15.15  																																												|
% 45.69/15.15  																																													| Equations (744) can reduce 765 to:
% 45.69/15.15  																																													| (311) $false
% 45.69/15.15  																																													|
% 45.69/15.15  																																													|-The branch is then unsatisfiable
% 45.69/15.15  																																												|-Branch two:
% 45.69/15.15  																																												| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.15  																																												| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 45.69/15.15  																																												|
% 45.69/15.15  																																													+-Applying beta-rule and splitting (857), into two cases.
% 45.69/15.15  																																													|-Branch one:
% 45.69/15.15  																																													| (858) all_0_95_95 = e0
% 45.69/15.15  																																													|
% 45.69/15.15  																																														| Equations (858) can reduce 893 to:
% 45.69/15.15  																																														| (311) $false
% 45.69/15.15  																																														|
% 45.69/15.15  																																														|-The branch is then unsatisfiable
% 45.69/15.15  																																													|-Branch two:
% 45.69/15.15  																																													| (893)  ~ (all_0_95_95 = e0)
% 45.69/15.15  																																													| (894) all_0_95_95 = e4
% 45.69/15.15  																																													|
% 45.69/15.15  																																														| Equations (894) can reduce 315 to:
% 45.69/15.15  																																														| (311) $false
% 45.69/15.15  																																														|
% 45.69/15.15  																																														|-The branch is then unsatisfiable
% 45.69/15.16  																																|-Branch two:
% 45.69/15.16  																																| (496)  ~ (all_0_93_93 = e4)
% 45.69/15.16  																																| (2650) all_0_98_98 = e4
% 45.69/15.16  																																|
% 45.69/15.16  																																	| Equations (2650) can reduce 321 to:
% 45.69/15.16  																																	| (311) $false
% 45.69/15.16  																																	|
% 45.69/15.16  																																	|-The branch is then unsatisfiable
% 45.69/15.16  																													|-Branch two:
% 45.69/15.16  																													| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.16  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.69/15.16  																													|
% 45.69/15.16  																														+-Applying beta-rule and splitting (472), into two cases.
% 45.69/15.16  																														|-Branch one:
% 45.69/15.16  																														| (438) all_0_84_84 = e4
% 45.69/15.16  																														|
% 45.69/15.16  																															| Equations (438) can reduce 417 to:
% 45.69/15.16  																															| (311) $false
% 45.69/15.16  																															|
% 45.69/15.16  																															|-The branch is then unsatisfiable
% 45.69/15.16  																														|-Branch two:
% 45.69/15.16  																														| (417)  ~ (all_0_84_84 = e4)
% 45.69/15.16  																														| (493) all_0_85_85 = e4
% 45.69/15.16  																														|
% 45.69/15.16  																															| Equations (493) can reduce 209 to:
% 45.69/15.16  																															| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.16  																															|
% 45.69/15.16  																															| Equations (493) can reduce 515 to:
% 45.69/15.16  																															| (79)  ~ (e4 = e2)
% 45.69/15.16  																															|
% 45.69/15.16  																															+-Applying beta-rule and splitting (249), into two cases.
% 45.69/15.16  																															|-Branch one:
% 45.69/15.16  																															| (910) all_0_82_82 = e0
% 45.69/15.16  																															|
% 45.69/15.16  																																| Equations (910) can reduce 914 to:
% 45.69/15.16  																																| (311) $false
% 45.69/15.16  																																|
% 45.69/15.16  																																|-The branch is then unsatisfiable
% 45.69/15.16  																															|-Branch two:
% 45.69/15.16  																															| (914)  ~ (all_0_82_82 = e0)
% 45.69/15.16  																															| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.16  																															|
% 45.69/15.16  																																+-Applying beta-rule and splitting (1309), into two cases.
% 45.69/15.16  																																|-Branch one:
% 45.69/15.16  																																| (798) all_0_83_83 = e0
% 45.69/15.16  																																|
% 45.69/15.16  																																	| Combining equations (453,798) yields a new equation:
% 45.69/15.16  																																	| (923) e2 = e0
% 45.69/15.16  																																	|
% 45.69/15.16  																																	| Simplifying 923 yields:
% 45.69/15.16  																																	| (379) e2 = e0
% 45.69/15.16  																																	|
% 45.69/15.16  																																	| Equations (379) can reduce 76 to:
% 45.69/15.16  																																	| (311) $false
% 45.69/15.16  																																	|
% 45.69/15.16  																																	|-The branch is then unsatisfiable
% 45.69/15.16  																																|-Branch two:
% 45.69/15.16  																																| (1314)  ~ (all_0_83_83 = e0)
% 45.69/15.16  																																| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.69/15.16  																																|
% 45.69/15.16  																																	+-Applying beta-rule and splitting (1315), into two cases.
% 45.69/15.16  																																	|-Branch one:
% 45.69/15.16  																																	| (916) all_0_84_84 = e0
% 45.69/15.16  																																	|
% 45.69/15.16  																																		| Equations (916) can reduce 87 to:
% 45.69/15.16  																																		| (2299)  ~ (all_0_92_92 = e0)
% 45.69/15.16  																																		|
% 45.69/15.16  																																		| Simplifying 2299 yields:
% 45.69/15.16  																																		| (946)  ~ (all_0_92_92 = e0)
% 45.69/15.16  																																		|
% 45.69/15.16  																																		| Equations (916) can reduce 259 to:
% 45.69/15.16  																																		| (859)  ~ (e1 = e0)
% 45.69/15.16  																																		|
% 45.69/15.16  																																		| Simplifying 859 yields:
% 45.69/15.16  																																		| (264)  ~ (e1 = e0)
% 45.69/15.16  																																		|
% 45.69/15.16  																																		| From (916) and (122) follows:
% 45.69/15.16  																																		| (1321) op(e1, e0) = all_0_62_62
% 45.69/15.16  																																		|
% 45.69/15.16  																																		+-Applying beta-rule and splitting (46), into two cases.
% 45.69/15.16  																																		|-Branch one:
% 45.69/15.16  																																		| (308) all_0_89_89 = e4
% 45.69/15.16  																																		|
% 45.69/15.16  																																			| Combining equations (308,292) yields a new equation:
% 45.69/15.16  																																			| (309) e4 = e2
% 45.69/15.16  																																			|
% 45.69/15.16  																																			| Simplifying 309 yields:
% 45.69/15.16  																																			| (310) e4 = e2
% 45.69/15.16  																																			|
% 45.69/15.16  																																			| Equations (310) can reduce 79 to:
% 45.69/15.16  																																			| (311) $false
% 45.69/15.16  																																			|
% 45.69/15.16  																																			|-The branch is then unsatisfiable
% 45.69/15.16  																																		|-Branch two:
% 45.69/15.16  																																		| (312)  ~ (all_0_89_89 = e4)
% 45.69/15.16  																																		| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.69/15.16  																																		|
% 45.69/15.16  																																			| Equations (292) can reduce 312 to:
% 45.69/15.16  																																			| (528)  ~ (e4 = e2)
% 45.69/15.16  																																			|
% 45.69/15.16  																																			| Simplifying 528 yields:
% 45.69/15.16  																																			| (79)  ~ (e4 = e2)
% 45.69/15.16  																																			|
% 45.69/15.16  																																			+-Applying beta-rule and splitting (4), into two cases.
% 45.69/15.16  																																			|-Branch one:
% 45.69/15.16  																																			| (463) all_0_78_78 = e4
% 45.69/15.16  																																			|
% 45.69/15.16  																																				| Combining equations (400,463) yields a new equation:
% 45.69/15.16  																																				| (310) e4 = e2
% 45.69/15.16  																																				|
% 45.69/15.16  																																				| Equations (310) can reduce 79 to:
% 45.69/15.16  																																				| (311) $false
% 45.69/15.16  																																				|
% 45.69/15.16  																																				|-The branch is then unsatisfiable
% 45.69/15.16  																																			|-Branch two:
% 45.69/15.16  																																			| (640)  ~ (all_0_78_78 = e4)
% 45.69/15.16  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.16  																																			|
% 45.69/15.16  																																				+-Applying beta-rule and splitting (171), into two cases.
% 45.69/15.16  																																				|-Branch one:
% 45.69/15.16  																																				| (789) all_0_82_82 = e3
% 45.69/15.16  																																				|
% 45.69/15.16  																																					| Equations (789) can reduce 200 to:
% 45.69/15.16  																																					| (1070)  ~ (all_0_95_95 = e3)
% 45.69/15.16  																																					|
% 45.69/15.16  																																					| Simplifying 1070 yields:
% 45.69/15.16  																																					| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.16  																																					|
% 45.69/15.16  																																					| Equations (789) can reduce 465 to:
% 45.69/15.16  																																					| (783)  ~ (e4 = e3)
% 45.69/15.16  																																					|
% 45.69/15.16  																																					| Simplifying 783 yields:
% 45.69/15.16  																																					| (177)  ~ (e4 = e3)
% 45.69/15.16  																																					|
% 45.69/15.16  																																					+-Applying beta-rule and splitting (3625), into two cases.
% 45.69/15.16  																																					|-Branch one:
% 45.69/15.16  																																					| (469) all_0_82_82 = e4
% 45.69/15.16  																																					|
% 45.69/15.16  																																						| Combining equations (789,469) yields a new equation:
% 45.69/15.16  																																						| (434) e4 = e3
% 45.69/15.16  																																						|
% 45.69/15.16  																																						| Equations (434) can reduce 177 to:
% 45.69/15.16  																																						| (311) $false
% 45.69/15.16  																																						|
% 45.69/15.16  																																						|-The branch is then unsatisfiable
% 45.69/15.16  																																					|-Branch two:
% 45.69/15.16  																																					| (465)  ~ (all_0_82_82 = e4)
% 45.69/15.16  																																					| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.69/15.16  																																					|
% 45.69/15.16  																																						+-Applying beta-rule and splitting (119), into two cases.
% 45.69/15.16  																																						|-Branch one:
% 45.69/15.16  																																						| (1343) all_0_92_92 = e2
% 45.69/15.16  																																						|
% 45.69/15.16  																																							| Equations (1343) can reduce 298 to:
% 45.69/15.16  																																							| (311) $false
% 45.69/15.16  																																							|
% 45.69/15.16  																																							|-The branch is then unsatisfiable
% 45.69/15.16  																																						|-Branch two:
% 45.69/15.16  																																						| (298)  ~ (all_0_92_92 = e2)
% 45.69/15.16  																																						| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.69/15.16  																																						|
% 45.69/15.16  																																							+-Applying beta-rule and splitting (270), into two cases.
% 45.69/15.16  																																							|-Branch one:
% 45.69/15.16  																																							| (744) all_0_95_95 = e3
% 45.69/15.16  																																							|
% 45.69/15.16  																																								| Equations (744) can reduce 765 to:
% 45.69/15.16  																																								| (311) $false
% 45.69/15.16  																																								|
% 45.69/15.16  																																								|-The branch is then unsatisfiable
% 45.69/15.16  																																							|-Branch two:
% 45.69/15.16  																																							| (765)  ~ (all_0_95_95 = e3)
% 45.69/15.16  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.16  																																							|
% 45.69/15.16  																																								+-Applying beta-rule and splitting (3735), into two cases.
% 45.69/15.16  																																								|-Branch one:
% 45.69/15.16  																																								| (836) all_0_92_92 = e1
% 45.69/15.16  																																								|
% 45.69/15.16  																																									| Equations (836) can reduce 840 to:
% 45.69/15.16  																																									| (311) $false
% 45.69/15.16  																																									|
% 45.69/15.16  																																									|-The branch is then unsatisfiable
% 45.69/15.16  																																								|-Branch two:
% 45.69/15.16  																																								| (840)  ~ (all_0_92_92 = e1)
% 45.69/15.16  																																								| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.69/15.16  																																								|
% 45.69/15.16  																																									+-Applying beta-rule and splitting (3629), into two cases.
% 45.69/15.16  																																									|-Branch one:
% 45.69/15.16  																																									| (583) all_0_90_90 = e4
% 45.69/15.16  																																									|
% 45.69/15.16  																																										| Equations (583) can reduce 72 to:
% 45.69/15.16  																																										| (1906)  ~ (all_0_92_92 = e4)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										| Simplifying 1906 yields:
% 45.69/15.16  																																										| (1619)  ~ (all_0_92_92 = e4)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										| Equations (583) can reduce 229 to:
% 45.69/15.16  																																										| (314)  ~ (all_0_95_95 = e4)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										| Simplifying 314 yields:
% 45.69/15.16  																																										| (315)  ~ (all_0_95_95 = e4)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										| Equations (583) can reduce 294 to:
% 45.69/15.16  																																										| (79)  ~ (e4 = e2)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										| Equations (583) can reduce 762 to:
% 45.69/15.16  																																										| (23)  ~ (e4 = e0)
% 45.69/15.16  																																										|
% 45.69/15.16  																																										+-Applying beta-rule and splitting (99), into two cases.
% 45.69/15.16  																																										|-Branch one:
% 45.69/15.16  																																										| (767) all_0_95_95 = e2
% 45.69/15.16  																																										|
% 45.69/15.16  																																											| Equations (767) can reduce 355 to:
% 45.69/15.16  																																											| (311) $false
% 45.69/15.16  																																											|
% 45.69/15.16  																																											|-The branch is then unsatisfiable
% 45.69/15.16  																																										|-Branch two:
% 45.69/15.16  																																										| (355)  ~ (all_0_95_95 = e2)
% 45.69/15.16  																																										| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.69/15.16  																																										|
% 45.69/15.16  																																											+-Applying beta-rule and splitting (770), into two cases.
% 45.69/15.16  																																											|-Branch one:
% 45.69/15.16  																																											| (785) all_0_95_95 = e1
% 45.69/15.16  																																											|
% 45.69/15.16  																																												| Equations (785) can reduce 107 to:
% 45.69/15.16  																																												| (1803)  ~ (all_0_98_98 = e1)
% 45.69/15.16  																																												|
% 45.69/15.16  																																												| Simplifying 1803 yields:
% 45.69/15.16  																																												| (1804)  ~ (all_0_98_98 = e1)
% 45.69/15.16  																																												|
% 45.69/15.16  																																												| Equations (785) can reduce 315 to:
% 45.69/15.16  																																												| (681)  ~ (e4 = e1)
% 45.69/15.16  																																												|
% 45.69/15.16  																																												| Simplifying 681 yields:
% 45.69/15.16  																																												| (256)  ~ (e4 = e1)
% 45.69/15.16  																																												|
% 45.69/15.16  																																												| Equations (785) can reduce 893 to:
% 45.69/15.16  																																												| (264)  ~ (e1 = e0)
% 45.69/15.16  																																												|
% 45.69/15.16  																																												+-Applying beta-rule and splitting (3800), into two cases.
% 45.69/15.16  																																												|-Branch one:
% 45.69/15.16  																																												| (882) all_0_92_92 = e3
% 45.69/15.16  																																												|
% 45.69/15.16  																																													| Combining equations (882,5478) yields a new equation:
% 45.69/15.16  																																													| (3524) all_0_64_64 = e3
% 45.69/15.16  																																													|
% 45.69/15.16  																																													| Equations (882) can reduce 298 to:
% 45.69/15.16  																																													| (169)  ~ (e3 = e2)
% 45.69/15.16  																																													|
% 45.69/15.16  																																													+-Applying beta-rule and splitting (65), into two cases.
% 45.69/15.16  																																													|-Branch one:
% 45.69/15.16  																																													| (522) all_0_93_93 = e2
% 45.69/15.16  																																													|
% 45.69/15.16  																																														| Equations (522) can reduce 300 to:
% 45.69/15.16  																																														| (311) $false
% 45.69/15.16  																																														|
% 45.69/15.16  																																														|-The branch is then unsatisfiable
% 45.69/15.16  																																													|-Branch two:
% 45.69/15.16  																																													| (300)  ~ (all_0_93_93 = e2)
% 45.69/15.16  																																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 45.69/15.16  																																													|
% 45.69/15.16  																																														+-Applying beta-rule and splitting (766), into two cases.
% 45.69/15.16  																																														|-Branch one:
% 45.69/15.16  																																														| (778) all_0_96_96 = e3
% 45.69/15.16  																																														|
% 45.69/15.16  																																															| Equations (778) can reduce 964 to:
% 45.69/15.16  																																															| (311) $false
% 45.69/15.16  																																															|
% 45.69/15.16  																																															|-The branch is then unsatisfiable
% 45.69/15.16  																																														|-Branch two:
% 45.69/15.16  																																														| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.16  																																														| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.69/15.16  																																														|
% 45.69/15.16  																																															+-Applying beta-rule and splitting (565), into two cases.
% 45.69/15.16  																																															|-Branch one:
% 45.69/15.16  																																															| (566) all_0_93_93 = e1
% 45.69/15.16  																																															|
% 45.69/15.16  																																																| Equations (566) can reduce 481 to:
% 45.69/15.16  																																																| (311) $false
% 45.69/15.16  																																																|
% 45.69/15.16  																																																|-The branch is then unsatisfiable
% 45.69/15.16  																																															|-Branch two:
% 45.69/15.16  																																															| (481)  ~ (all_0_93_93 = e1)
% 45.69/15.16  																																															| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 45.69/15.16  																																															|
% 45.69/15.16  																																																+-Applying beta-rule and splitting (965), into two cases.
% 45.69/15.16  																																																|-Branch one:
% 45.69/15.16  																																																| (556) all_0_97_97 = e3
% 45.69/15.16  																																																|
% 45.69/15.16  																																																	| Combining equations (556,538) yields a new equation:
% 45.69/15.16  																																																	| (547) e3 = e2
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	| Simplifying 547 yields:
% 45.69/15.16  																																																	| (548) e3 = e2
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	| Equations (548) can reduce 169 to:
% 45.69/15.16  																																																	| (311) $false
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	|-The branch is then unsatisfiable
% 45.69/15.16  																																																|-Branch two:
% 45.69/15.16  																																																| (428)  ~ (all_0_97_97 = e3)
% 45.69/15.16  																																																| (969) all_0_98_98 = e3
% 45.69/15.16  																																																|
% 45.69/15.16  																																																	| Equations (969) can reduce 13 to:
% 45.69/15.16  																																																	| (602)  ~ (all_0_93_93 = e3)
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	| Equations (969) can reduce 43 to:
% 45.69/15.16  																																																	| (964)  ~ (all_0_96_96 = e3)
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	| Equations (969) can reduce 1349 to:
% 45.69/15.16  																																																	| (169)  ~ (e3 = e2)
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	| Equations (969) can reduce 1804 to:
% 45.69/15.16  																																																	| (20)  ~ (e3 = e1)
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																	+-Applying beta-rule and splitting (569), into two cases.
% 45.69/15.16  																																																	|-Branch one:
% 45.69/15.16  																																																	| (570) all_0_93_93 = e3
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																		| Equations (570) can reduce 602 to:
% 45.69/15.16  																																																		| (311) $false
% 45.69/15.16  																																																		|
% 45.69/15.16  																																																		|-The branch is then unsatisfiable
% 45.69/15.16  																																																	|-Branch two:
% 45.69/15.16  																																																	| (602)  ~ (all_0_93_93 = e3)
% 45.69/15.16  																																																	| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 45.69/15.16  																																																	|
% 45.69/15.16  																																																		+-Applying beta-rule and splitting (132), into two cases.
% 45.69/15.16  																																																		|-Branch one:
% 45.69/15.16  																																																		| (750) all_0_90_90 = e1
% 45.69/15.16  																																																		|
% 45.69/15.16  																																																			| Combining equations (583,750) yields a new equation:
% 45.69/15.16  																																																			| (813) e4 = e1
% 45.69/15.16  																																																			|
% 45.69/15.16  																																																			| Simplifying 813 yields:
% 45.69/15.16  																																																			| (814) e4 = e1
% 45.69/15.16  																																																			|
% 45.69/15.16  																																																			| Equations (814) can reduce 256 to:
% 45.69/15.16  																																																			| (311) $false
% 45.69/15.16  																																																			|
% 45.69/15.16  																																																			|-The branch is then unsatisfiable
% 45.69/15.16  																																																		|-Branch two:
% 45.69/15.16  																																																		| (678)  ~ (all_0_90_90 = e1)
% 45.69/15.16  																																																		| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.69/15.16  																																																		|
% 45.69/15.16  																																																			+-Applying beta-rule and splitting (1526), into two cases.
% 45.69/15.16  																																																			|-Branch one:
% 45.69/15.16  																																																			| (801) all_0_91_91 = e1
% 45.69/15.16  																																																			|
% 45.69/15.16  																																																				| Combining equations (801,4077) yields a new equation:
% 45.69/15.16  																																																				| (27067) all_0_67_67 = e1
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																				| Equations (801) can reduce 44 to:
% 45.69/15.16  																																																				| (480)  ~ (all_0_93_93 = e1)
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																				| Simplifying 480 yields:
% 45.69/15.16  																																																				| (481)  ~ (all_0_93_93 = e1)
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																				| Equations (801) can reduce 64 to:
% 45.69/15.16  																																																				| (1671)  ~ (all_0_96_96 = e1)
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																				| Simplifying 1671 yields:
% 45.69/15.16  																																																				| (1479)  ~ (all_0_96_96 = e1)
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																				+-Applying beta-rule and splitting (84), into two cases.
% 45.69/15.16  																																																				|-Branch one:
% 45.69/15.16  																																																				| (1704) all_0_96_96 = e2
% 45.69/15.16  																																																				|
% 45.69/15.16  																																																					| Equations (1704) can reduce 1638 to:
% 45.69/15.16  																																																					| (311) $false
% 45.69/15.16  																																																					|
% 45.69/15.16  																																																					|-The branch is then unsatisfiable
% 45.69/15.16  																																																				|-Branch two:
% 45.69/15.16  																																																				| (1638)  ~ (all_0_96_96 = e2)
% 45.79/15.16  																																																				| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.79/15.16  																																																				|
% 45.79/15.16  																																																					+-Applying beta-rule and splitting (102), into two cases.
% 45.79/15.16  																																																					|-Branch one:
% 45.79/15.16  																																																					| (858) all_0_95_95 = e0
% 45.79/15.16  																																																					|
% 45.79/15.16  																																																						| Combining equations (858,785) yields a new equation:
% 45.79/15.16  																																																						| (865) e1 = e0
% 45.79/15.16  																																																						|
% 45.79/15.16  																																																						| Equations (865) can reduce 264 to:
% 45.79/15.16  																																																						| (311) $false
% 45.79/15.16  																																																						|
% 45.79/15.16  																																																						|-The branch is then unsatisfiable
% 45.79/15.16  																																																					|-Branch two:
% 45.79/15.16  																																																					| (893)  ~ (all_0_95_95 = e0)
% 45.79/15.16  																																																					| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.79/15.16  																																																					|
% 45.79/15.16  																																																						| Equations (785) can reduce 893 to:
% 45.79/15.16  																																																						| (264)  ~ (e1 = e0)
% 45.79/15.16  																																																						|
% 45.79/15.16  																																																						+-Applying beta-rule and splitting (289), into two cases.
% 45.79/15.16  																																																						|-Branch one:
% 45.79/15.16  																																																						| (954) all_0_85_85 = e0
% 45.79/15.16  																																																						|
% 45.79/15.16  																																																							| Combining equations (493,954) yields a new equation:
% 45.79/15.16  																																																							| (911) e4 = e0
% 45.79/15.16  																																																							|
% 45.79/15.16  																																																							| Simplifying 911 yields:
% 45.79/15.16  																																																							| (912) e4 = e0
% 45.79/15.16  																																																							|
% 45.79/15.16  																																																							| Equations (912) can reduce 23 to:
% 45.79/15.16  																																																							| (311) $false
% 45.79/15.16  																																																							|
% 45.79/15.16  																																																							|-The branch is then unsatisfiable
% 45.79/15.16  																																																						|-Branch two:
% 45.79/15.17  																																																						| (800)  ~ (all_0_85_85 = e0)
% 45.79/15.17  																																																						| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.79/15.17  																																																						|
% 45.79/15.17  																																																							| Equations (493) can reduce 800 to:
% 45.79/15.17  																																																							| (23)  ~ (e4 = e0)
% 45.79/15.17  																																																							|
% 45.79/15.17  																																																							+-Applying beta-rule and splitting (291), into two cases.
% 45.79/15.17  																																																							|-Branch one:
% 45.79/15.17  																																																							| (758) all_0_90_90 = e0
% 45.79/15.17  																																																							|
% 45.79/15.17  																																																								| Combining equations (758,583) yields a new equation:
% 45.79/15.17  																																																								| (912) e4 = e0
% 45.79/15.17  																																																								|
% 45.79/15.17  																																																								| Equations (912) can reduce 23 to:
% 45.79/15.17  																																																								| (311) $false
% 45.79/15.17  																																																								|
% 45.79/15.17  																																																								|-The branch is then unsatisfiable
% 45.79/15.17  																																																							|-Branch two:
% 45.79/15.17  																																																							| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.17  																																																							| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.79/15.17  																																																							|
% 45.79/15.17  																																																								+-Applying beta-rule and splitting (1707), into two cases.
% 45.79/15.17  																																																								|-Branch one:
% 45.79/15.17  																																																								| (960) all_0_96_96 = e1
% 45.79/15.17  																																																								|
% 45.79/15.17  																																																									| Equations (960) can reduce 1479 to:
% 45.79/15.17  																																																									| (311) $false
% 45.79/15.17  																																																									|
% 45.79/15.17  																																																									|-The branch is then unsatisfiable
% 45.79/15.17  																																																								|-Branch two:
% 45.79/15.17  																																																								| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.17  																																																								| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.79/15.17  																																																								|
% 45.79/15.17  																																																									+-Applying beta-rule and splitting (1455), into two cases.
% 45.79/15.17  																																																									|-Branch one:
% 45.79/15.17  																																																									| (1456) all_0_91_91 = e0
% 45.79/15.17  																																																									|
% 45.79/15.17  																																																										| Combining equations (801,1456) yields a new equation:
% 45.79/15.17  																																																										| (1107) e1 = e0
% 45.79/15.17  																																																										|
% 45.79/15.17  																																																										| Simplifying 1107 yields:
% 45.79/15.17  																																																										| (865) e1 = e0
% 45.79/15.17  																																																										|
% 45.79/15.17  																																																										| Equations (865) can reduce 264 to:
% 45.79/15.17  																																																										| (311) $false
% 45.79/15.17  																																																										|
% 45.79/15.17  																																																										|-The branch is then unsatisfiable
% 45.79/15.17  																																																									|-Branch two:
% 45.79/15.17  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 45.79/15.17  																																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.79/15.17  																																																									|
% 45.79/15.17  																																																										+-Applying beta-rule and splitting (2016), into two cases.
% 45.79/15.17  																																																										|-Branch one:
% 45.79/15.17  																																																										| (778) all_0_96_96 = e3
% 45.79/15.17  																																																										|
% 45.79/15.17  																																																											| Equations (778) can reduce 964 to:
% 45.79/15.17  																																																											| (311) $false
% 45.79/15.17  																																																											|
% 45.79/15.17  																																																											|-The branch is then unsatisfiable
% 45.79/15.17  																																																										|-Branch two:
% 45.79/15.17  																																																										| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.17  																																																										| (1837) all_0_96_96 = e0
% 45.79/15.17  																																																										|
% 45.79/15.17  																																																											| Equations (1837) can reduce 964 to:
% 45.79/15.17  																																																											| (906)  ~ (e3 = e0)
% 45.79/15.17  																																																											|
% 45.79/15.17  																																																											| Simplifying 906 yields:
% 45.79/15.17  																																																											| (50)  ~ (e3 = e0)
% 45.79/15.17  																																																											|
% 45.79/15.17  																																																											+-Applying beta-rule and splitting (1488), into two cases.
% 45.79/15.17  																																																											|-Branch one:
% 45.79/15.17  																																																											| (942) all_0_92_92 = e0
% 45.79/15.17  																																																											|
% 45.79/15.17  																																																												| Combining equations (942,882) yields a new equation:
% 45.79/15.17  																																																												| (600) e3 = e0
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| Equations (600) can reduce 50 to:
% 45.79/15.17  																																																												| (311) $false
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												|-The branch is then unsatisfiable
% 45.79/15.17  																																																											|-Branch two:
% 45.79/15.17  																																																											| (946)  ~ (all_0_92_92 = e0)
% 45.79/15.17  																																																											| (604) all_0_93_93 = e0
% 45.79/15.17  																																																											|
% 45.79/15.17  																																																												| Equations (604) can reduce 602 to:
% 45.79/15.17  																																																												| (906)  ~ (e3 = e0)
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| Simplifying 906 yields:
% 45.79/15.17  																																																												| (50)  ~ (e3 = e0)
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| Equations (604) can reduce 481 to:
% 45.79/15.17  																																																												| (859)  ~ (e1 = e0)
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| Simplifying 859 yields:
% 45.79/15.17  																																																												| (264)  ~ (e1 = e0)
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| From (604) and (21) follows:
% 45.79/15.17  																																																												| (19330) op(e1, e0) = all_0_76_76
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												| From (604) and (231) follows:
% 45.79/15.17  																																																												| (4745) op(e1, e0) = e0
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																												+-Applying beta-rule and splitting (276), into two cases.
% 45.79/15.17  																																																												|-Branch one:
% 45.79/15.17  																																																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																													+-Applying beta-rule and splitting (577), into two cases.
% 45.79/15.17  																																																													|-Branch one:
% 45.79/15.17  																																																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.79/15.17  																																																													|
% 45.79/15.17  																																																														+-Applying beta-rule and splitting (578), into two cases.
% 45.79/15.17  																																																														|-Branch one:
% 45.79/15.17  																																																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.79/15.17  																																																														|
% 45.79/15.17  																																																															| Applying alpha-rule on (579) yields:
% 45.79/15.17  																																																															| (580) all_0_60_60 = e4
% 45.79/15.17  																																																															| (581)  ~ (all_0_61_61 = e1)
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Combining equations (580,4076) yields a new equation:
% 45.79/15.17  																																																															| (309) e4 = e2
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Simplifying 309 yields:
% 45.79/15.17  																																																															| (310) e4 = e2
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Equations (310) can reduce 79 to:
% 45.79/15.17  																																																															| (311) $false
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															|-The branch is then unsatisfiable
% 45.79/15.17  																																																														|-Branch two:
% 45.79/15.17  																																																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.79/15.17  																																																														|
% 45.79/15.17  																																																															| Applying alpha-rule on (585) yields:
% 45.79/15.17  																																																															| (586) all_0_62_62 = e3
% 45.79/15.17  																																																															| (587)  ~ (all_0_63_63 = e1)
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| From (586) and (1321) follows:
% 45.79/15.17  																																																															| (573) op(e1, e0) = e3
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Instantiating formula (262) with e1, e0, e3, all_0_76_76 and discharging atoms op(e1, e0) = all_0_76_76, op(e1, e0) = e3, yields:
% 45.79/15.17  																																																															| (12777) all_0_76_76 = e3
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Instantiating formula (262) with e1, e0, e0, all_0_76_76 and discharging atoms op(e1, e0) = all_0_76_76, op(e1, e0) = e0, yields:
% 45.79/15.17  																																																															| (8960) all_0_76_76 = e0
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Combining equations (8960,12777) yields a new equation:
% 45.79/15.17  																																																															| (600) e3 = e0
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															| Equations (600) can reduce 50 to:
% 45.79/15.17  																																																															| (311) $false
% 45.79/15.17  																																																															|
% 45.79/15.17  																																																															|-The branch is then unsatisfiable
% 45.79/15.17  																																																													|-Branch two:
% 45.79/15.17  																																																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.79/15.17  																																																													|
% 45.79/15.17  																																																														| Applying alpha-rule on (590) yields:
% 45.79/15.17  																																																														| (591) all_0_64_64 = e2
% 45.79/15.17  																																																														| (592)  ~ (all_0_65_65 = e1)
% 45.79/15.17  																																																														|
% 45.79/15.17  																																																														| Combining equations (591,3524) yields a new equation:
% 45.79/15.17  																																																														| (548) e3 = e2
% 45.79/15.17  																																																														|
% 45.79/15.17  																																																														| Equations (548) can reduce 169 to:
% 45.79/15.17  																																																														| (311) $false
% 45.79/15.17  																																																														|
% 45.79/15.17  																																																														|-The branch is then unsatisfiable
% 45.79/15.17  																																																												|-Branch two:
% 45.79/15.17  																																																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.79/15.17  																																																												|
% 45.79/15.17  																																																													| Applying alpha-rule on (596) yields:
% 45.79/15.17  																																																													| (597) all_0_67_67 = e0
% 45.79/15.17  																																																													| (598)  ~ (all_0_68_68 = e1)
% 45.79/15.17  																																																													|
% 45.79/15.17  																																																													| Combining equations (597,27067) yields a new equation:
% 45.79/15.17  																																																													| (865) e1 = e0
% 45.79/15.17  																																																													|
% 45.79/15.17  																																																													| Equations (865) can reduce 264 to:
% 45.79/15.17  																																																													| (311) $false
% 45.79/15.17  																																																													|
% 45.79/15.17  																																																													|-The branch is then unsatisfiable
% 45.79/15.17  																																																			|-Branch two:
% 45.79/15.17  																																																			| (959)  ~ (all_0_91_91 = e1)
% 45.79/15.17  																																																			| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.79/15.17  																																																			|
% 45.79/15.17  																																																				+-Applying beta-rule and splitting (1556), into two cases.
% 45.79/15.17  																																																				|-Branch one:
% 45.79/15.17  																																																				| (836) all_0_92_92 = e1
% 45.79/15.17  																																																				|
% 45.79/15.17  																																																					| Combining equations (836,882) yields a new equation:
% 45.79/15.17  																																																					| (772) e3 = e1
% 45.79/15.17  																																																					|
% 45.79/15.17  																																																					| Equations (772) can reduce 20 to:
% 45.79/15.17  																																																					| (311) $false
% 45.79/15.17  																																																					|
% 45.79/15.17  																																																					|-The branch is then unsatisfiable
% 45.79/15.17  																																																				|-Branch two:
% 45.79/15.17  																																																				| (840)  ~ (all_0_92_92 = e1)
% 45.79/15.17  																																																				| (566) all_0_93_93 = e1
% 45.79/15.17  																																																				|
% 45.79/15.17  																																																					| Equations (566) can reduce 481 to:
% 45.79/15.17  																																																					| (311) $false
% 45.79/15.17  																																																					|
% 45.79/15.17  																																																					|-The branch is then unsatisfiable
% 45.79/15.17  																																												|-Branch two:
% 45.79/15.17  																																												| (426)  ~ (all_0_92_92 = e3)
% 45.79/15.17  																																												| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.79/15.17  																																												|
% 45.79/15.17  																																													+-Applying beta-rule and splitting (16683), into two cases.
% 45.79/15.17  																																													|-Branch one:
% 45.79/15.17  																																													| (942) all_0_92_92 = e0
% 45.79/15.17  																																													|
% 45.79/15.17  																																														| Equations (942) can reduce 946 to:
% 45.79/15.17  																																														| (311) $false
% 45.79/15.17  																																														|
% 45.79/15.17  																																														|-The branch is then unsatisfiable
% 45.79/15.17  																																													|-Branch two:
% 45.79/15.17  																																													| (946)  ~ (all_0_92_92 = e0)
% 45.79/15.17  																																													| (442) all_0_92_92 = e4
% 45.79/15.17  																																													|
% 45.79/15.17  																																														| Equations (442) can reduce 1619 to:
% 45.79/15.17  																																														| (311) $false
% 45.79/15.17  																																														|
% 45.79/15.17  																																														|-The branch is then unsatisfiable
% 45.79/15.17  																																											|-Branch two:
% 45.79/15.17  																																											| (680)  ~ (all_0_95_95 = e1)
% 45.79/15.17  																																											| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.79/15.17  																																											|
% 45.79/15.17  																																												+-Applying beta-rule and splitting (176), into two cases.
% 45.79/15.17  																																												|-Branch one:
% 45.79/15.17  																																												| (785) all_0_95_95 = e1
% 45.79/15.17  																																												|
% 45.79/15.17  																																													| Equations (785) can reduce 680 to:
% 45.79/15.17  																																													| (311) $false
% 45.79/15.17  																																													|
% 45.79/15.17  																																													|-The branch is then unsatisfiable
% 45.79/15.17  																																												|-Branch two:
% 45.79/15.17  																																												| (680)  ~ (all_0_95_95 = e1)
% 45.79/15.17  																																												| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.79/15.17  																																												|
% 45.79/15.17  																																													+-Applying beta-rule and splitting (1718), into two cases.
% 45.79/15.17  																																													|-Branch one:
% 45.79/15.17  																																													| (384) all_0_86_86 = e1
% 45.79/15.17  																																													|
% 45.79/15.17  																																														| Combining equations (384,378) yields a new equation:
% 45.79/15.17  																																														| (1107) e1 = e0
% 45.79/15.17  																																														|
% 45.79/15.17  																																														| Simplifying 1107 yields:
% 45.79/15.17  																																														| (865) e1 = e0
% 45.79/15.17  																																														|
% 45.79/15.17  																																														| Equations (865) can reduce 264 to:
% 45.79/15.17  																																														| (311) $false
% 45.79/15.17  																																														|
% 45.79/15.17  																																														|-The branch is then unsatisfiable
% 45.79/15.17  																																													|-Branch two:
% 45.79/15.17  																																													| (387)  ~ (all_0_86_86 = e1)
% 45.79/15.17  																																													| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.79/15.17  																																													|
% 45.79/15.17  																																														+-Applying beta-rule and splitting (788), into two cases.
% 45.79/15.17  																																														|-Branch one:
% 45.79/15.17  																																														| (960) all_0_96_96 = e1
% 45.79/15.17  																																														|
% 45.79/15.17  																																															| Equations (960) can reduce 279 to:
% 45.79/15.17  																																															| (680)  ~ (all_0_95_95 = e1)
% 45.79/15.17  																																															|
% 45.79/15.17  																																															| Equations (960) can reduce 115 to:
% 45.79/15.17  																																															| (681)  ~ (e4 = e1)
% 45.79/15.17  																																															|
% 45.79/15.17  																																															| Simplifying 681 yields:
% 45.79/15.17  																																															| (256)  ~ (e4 = e1)
% 45.79/15.17  																																															|
% 45.79/15.17  																																															+-Applying beta-rule and splitting (2122), into two cases.
% 45.79/15.17  																																															|-Branch one:
% 45.79/15.17  																																															| (750) all_0_90_90 = e1
% 45.79/15.17  																																															|
% 45.79/15.17  																																																| Combining equations (583,750) yields a new equation:
% 45.79/15.17  																																																| (813) e4 = e1
% 45.79/15.17  																																																|
% 45.79/15.17  																																																| Simplifying 813 yields:
% 45.79/15.17  																																																| (814) e4 = e1
% 45.79/15.17  																																																|
% 45.79/15.18  																																																| Equations (814) can reduce 256 to:
% 45.79/15.18  																																																| (311) $false
% 45.79/15.18  																																																|
% 45.79/15.18  																																																|-The branch is then unsatisfiable
% 45.79/15.18  																																															|-Branch two:
% 45.79/15.18  																																															| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.18  																																															| (785) all_0_95_95 = e1
% 45.79/15.18  																																															|
% 45.79/15.18  																																																| Equations (785) can reduce 680 to:
% 45.79/15.18  																																																| (311) $false
% 45.79/15.18  																																																|
% 45.79/15.18  																																																|-The branch is then unsatisfiable
% 45.79/15.18  																																														|-Branch two:
% 45.79/15.18  																																														| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.18  																																														| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.79/15.18  																																														|
% 45.79/15.18  																																															+-Applying beta-rule and splitting (2126), into two cases.
% 45.79/15.18  																																															|-Branch one:
% 45.79/15.18  																																															| (542) all_0_97_97 = e1
% 45.79/15.18  																																															|
% 45.79/15.18  																																																| Combining equations (542,538) yields a new equation:
% 45.79/15.18  																																																| (385) e2 = e1
% 45.79/15.18  																																																|
% 45.79/15.18  																																																| Equations (385) can reduce 243 to:
% 45.79/15.18  																																																| (311) $false
% 45.79/15.18  																																																|
% 45.79/15.18  																																																|-The branch is then unsatisfiable
% 45.79/15.18  																																															|-Branch two:
% 45.79/15.18  																																															| (486)  ~ (all_0_97_97 = e1)
% 45.79/15.18  																																															| (1543) all_0_98_98 = e1
% 45.79/15.18  																																															|
% 45.79/15.18  																																																| Equations (1543) can reduce 1804 to:
% 45.79/15.18  																																																| (311) $false
% 45.79/15.18  																																																|
% 45.79/15.18  																																																|-The branch is then unsatisfiable
% 45.79/15.18  																																									|-Branch two:
% 45.79/15.18  																																									| (467)  ~ (all_0_90_90 = e4)
% 45.79/15.18  																																									| (894) all_0_95_95 = e4
% 45.79/15.18  																																									|
% 45.79/15.18  																																										| Equations (894) can reduce 315 to:
% 45.79/15.18  																																										| (311) $false
% 45.79/15.18  																																										|
% 45.79/15.18  																																										|-The branch is then unsatisfiable
% 45.79/15.18  																																				|-Branch two:
% 45.79/15.18  																																				| (793)  ~ (all_0_82_82 = e3)
% 45.79/15.18  																																				| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.79/15.18  																																				|
% 45.79/15.18  																																					+-Applying beta-rule and splitting (207), into two cases.
% 45.79/15.18  																																					|-Branch one:
% 45.79/15.18  																																					| (416) all_0_80_80 = e3
% 45.79/15.18  																																					|
% 45.79/15.18  																																						| Combining equations (433,416) yields a new equation:
% 45.79/15.18  																																						| (790) e4 = e3
% 45.79/15.18  																																						|
% 45.79/15.18  																																						| Simplifying 790 yields:
% 45.79/15.18  																																						| (434) e4 = e3
% 45.79/15.18  																																						|
% 45.79/15.18  																																						| Equations (434) can reduce 177 to:
% 45.79/15.18  																																						| (311) $false
% 45.79/15.18  																																						|
% 45.79/15.18  																																						|-The branch is then unsatisfiable
% 45.79/15.18  																																					|-Branch two:
% 45.79/15.18  																																					| (2347)  ~ (all_0_80_80 = e3)
% 45.79/15.18  																																					| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 45.79/15.18  																																					|
% 45.79/15.18  																																						| Equations (433) can reduce 2347 to:
% 45.79/15.18  																																						| (177)  ~ (e4 = e3)
% 45.79/15.18  																																						|
% 45.79/15.18  																																						+-Applying beta-rule and splitting (2481), into two cases.
% 45.79/15.18  																																						|-Branch one:
% 45.79/15.18  																																						| (1265) all_0_84_84 = e3
% 45.79/15.18  																																						|
% 45.79/15.18  																																							| Combining equations (916,1265) yields a new equation:
% 45.79/15.18  																																							| (600) e3 = e0
% 45.79/15.18  																																							|
% 45.79/15.18  																																							| Equations (600) can reduce 50 to:
% 45.79/15.18  																																							| (311) $false
% 45.79/15.18  																																							|
% 45.79/15.18  																																							|-The branch is then unsatisfiable
% 45.79/15.18  																																						|-Branch two:
% 45.79/15.18  																																						| (422)  ~ (all_0_84_84 = e3)
% 45.79/15.18  																																						| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 45.79/15.18  																																						|
% 45.79/15.18  																																							| Equations (916) can reduce 422 to:
% 45.79/15.18  																																							| (906)  ~ (e3 = e0)
% 45.79/15.18  																																							|
% 45.79/15.18  																																							| Simplifying 906 yields:
% 45.79/15.18  																																							| (50)  ~ (e3 = e0)
% 45.79/15.18  																																							|
% 45.79/15.18  																																							+-Applying beta-rule and splitting (1296), into two cases.
% 45.79/15.18  																																							|-Branch one:
% 45.79/15.18  																																							| (795) all_0_83_83 = e3
% 45.79/15.18  																																							|
% 45.79/15.18  																																								| Combining equations (453,795) yields a new equation:
% 45.79/15.18  																																								| (548) e3 = e2
% 45.79/15.18  																																								|
% 45.79/15.18  																																								| Equations (548) can reduce 169 to:
% 45.79/15.18  																																								| (311) $false
% 45.79/15.18  																																								|
% 45.79/15.18  																																								|-The branch is then unsatisfiable
% 45.79/15.18  																																							|-Branch two:
% 45.79/15.18  																																							| (779)  ~ (all_0_83_83 = e3)
% 45.79/15.18  																																							| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.79/15.18  																																							|
% 45.79/15.18  																																								+-Applying beta-rule and splitting (1594), into two cases.
% 45.79/15.18  																																								|-Branch one:
% 45.79/15.18  																																								| (1265) all_0_84_84 = e3
% 45.79/15.18  																																								|
% 45.79/15.18  																																									| Combining equations (916,1265) yields a new equation:
% 45.79/15.18  																																									| (600) e3 = e0
% 45.79/15.18  																																									|
% 45.79/15.18  																																									| Equations (600) can reduce 50 to:
% 45.79/15.18  																																									| (311) $false
% 45.79/15.18  																																									|
% 45.79/15.18  																																									|-The branch is then unsatisfiable
% 45.79/15.18  																																								|-Branch two:
% 45.79/15.18  																																								| (422)  ~ (all_0_84_84 = e3)
% 45.79/15.18  																																								| (804) all_0_85_85 = e3
% 45.79/15.18  																																								|
% 45.79/15.18  																																									| Combining equations (493,804) yields a new equation:
% 45.79/15.18  																																									| (790) e4 = e3
% 45.79/15.18  																																									|
% 45.79/15.18  																																									| Simplifying 790 yields:
% 45.79/15.18  																																									| (434) e4 = e3
% 45.79/15.18  																																									|
% 45.79/15.18  																																									| Equations (434) can reduce 177 to:
% 45.79/15.18  																																									| (311) $false
% 45.79/15.18  																																									|
% 45.79/15.18  																																									|-The branch is then unsatisfiable
% 45.79/15.18  																																	|-Branch two:
% 45.79/15.18  																																	| (919)  ~ (all_0_84_84 = e0)
% 45.79/15.18  																																	| (954) all_0_85_85 = e0
% 45.79/15.18  																																	|
% 45.79/15.18  																																		| Combining equations (954,493) yields a new equation:
% 45.79/15.18  																																		| (912) e4 = e0
% 45.79/15.18  																																		|
% 45.79/15.18  																																		| Equations (912) can reduce 23 to:
% 45.79/15.18  																																		| (311) $false
% 45.79/15.18  																																		|
% 45.79/15.18  																																		|-The branch is then unsatisfiable
% 45.79/15.18  																											|-Branch two:
% 45.79/15.18  																											| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.79/15.18  																											|
% 45.79/15.18  																												| Applying alpha-rule on (4957) yields:
% 45.79/15.18  																												| (4958) all_0_58_58 = e0
% 45.79/15.18  																												| (4959)  ~ (all_0_59_59 = e2)
% 45.79/15.18  																												|
% 45.79/15.18  																												| From (4958) and (212) follows:
% 45.79/15.18  																												| (4960) op(e2, all_0_96_96) = e0
% 45.79/15.18  																												|
% 45.79/15.18  																												+-Applying beta-rule and splitting (109), into two cases.
% 45.79/15.18  																												|-Branch one:
% 45.79/15.18  																												| (469) all_0_82_82 = e4
% 45.79/15.18  																												|
% 45.79/15.18  																													| Equations (469) can reduce 209 to:
% 45.79/15.18  																													| (647)  ~ (all_0_85_85 = e4)
% 45.79/15.18  																													|
% 45.79/15.18  																													| Simplifying 647 yields:
% 45.79/15.18  																													| (648)  ~ (all_0_85_85 = e4)
% 45.79/15.18  																													|
% 45.79/15.18  																													| Equations (469) can reduce 200 to:
% 45.79/15.18  																													| (314)  ~ (all_0_95_95 = e4)
% 45.79/15.18  																													|
% 45.79/15.18  																													| Simplifying 314 yields:
% 45.79/15.18  																													| (315)  ~ (all_0_95_95 = e4)
% 45.79/15.18  																													|
% 45.79/15.18  																													| Equations (469) can reduce 198 to:
% 45.79/15.18  																													| (256)  ~ (e4 = e1)
% 45.79/15.18  																													|
% 45.79/15.18  																													| Equations (469) can reduce 914 to:
% 45.79/15.18  																													| (23)  ~ (e4 = e0)
% 45.79/15.18  																													|
% 45.79/15.18  																													+-Applying beta-rule and splitting (168), into two cases.
% 45.79/15.18  																													|-Branch one:
% 45.79/15.18  																													| (638) all_0_81_81 = e4
% 45.79/15.18  																													|
% 45.79/15.18  																														| Combining equations (477,638) yields a new equation:
% 45.79/15.18  																														| (814) e4 = e1
% 45.79/15.18  																														|
% 45.79/15.18  																														| Equations (814) can reduce 256 to:
% 45.79/15.18  																														| (311) $false
% 45.79/15.18  																														|
% 45.79/15.18  																														|-The branch is then unsatisfiable
% 45.79/15.18  																													|-Branch two:
% 45.79/15.18  																													| (634)  ~ (all_0_81_81 = e4)
% 45.79/15.18  																													| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 45.79/15.18  																													|
% 45.79/15.18  																														+-Applying beta-rule and splitting (2559), into two cases.
% 45.79/15.18  																														|-Branch one:
% 45.79/15.18  																														| (493) all_0_85_85 = e4
% 45.79/15.18  																														|
% 45.79/15.18  																															| Equations (493) can reduce 648 to:
% 45.79/15.18  																															| (311) $false
% 45.79/15.18  																															|
% 45.79/15.18  																															|-The branch is then unsatisfiable
% 45.79/15.18  																														|-Branch two:
% 45.79/15.18  																														| (648)  ~ (all_0_85_85 = e4)
% 45.79/15.18  																														| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 45.79/15.18  																														|
% 45.79/15.18  																															+-Applying beta-rule and splitting (2576), into two cases.
% 45.79/15.18  																															|-Branch one:
% 45.79/15.18  																															| (607) all_0_93_93 = e4
% 45.79/15.18  																															|
% 45.79/15.18  																																| Equations (607) can reduce 34 to:
% 45.79/15.18  																																| (467)  ~ (all_0_90_90 = e4)
% 45.79/15.18  																																|
% 45.79/15.18  																																+-Applying beta-rule and splitting (171), into two cases.
% 45.79/15.18  																																|-Branch one:
% 45.79/15.18  																																| (789) all_0_82_82 = e3
% 45.79/15.18  																																|
% 45.79/15.18  																																	| Combining equations (469,789) yields a new equation:
% 45.79/15.18  																																	| (790) e4 = e3
% 45.79/15.18  																																	|
% 45.79/15.18  																																	| Simplifying 790 yields:
% 45.79/15.18  																																	| (434) e4 = e3
% 45.79/15.18  																																	|
% 45.79/15.18  																																	| Equations (434) can reduce 177 to:
% 45.79/15.18  																																	| (311) $false
% 45.79/15.18  																																	|
% 45.79/15.18  																																	|-The branch is then unsatisfiable
% 45.79/15.18  																																|-Branch two:
% 45.79/15.18  																																| (793)  ~ (all_0_82_82 = e3)
% 45.79/15.18  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.79/15.18  																																|
% 45.79/15.18  																																	+-Applying beta-rule and splitting (220), into two cases.
% 45.79/15.18  																																	|-Branch one:
% 45.79/15.18  																																	| (771) all_0_78_78 = e3
% 45.79/15.18  																																	|
% 45.79/15.18  																																		| Combining equations (400,771) yields a new equation:
% 45.79/15.18  																																		| (548) e3 = e2
% 45.79/15.18  																																		|
% 45.79/15.18  																																		| Equations (548) can reduce 169 to:
% 45.79/15.18  																																		| (311) $false
% 45.79/15.18  																																		|
% 45.79/15.18  																																		|-The branch is then unsatisfiable
% 45.79/15.18  																																	|-Branch two:
% 45.79/15.18  																																	| (418)  ~ (all_0_78_78 = e3)
% 45.79/15.18  																																	| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 45.79/15.18  																																	|
% 45.79/15.18  																																		| Equations (400) can reduce 418 to:
% 45.79/15.18  																																		| (356)  ~ (e3 = e2)
% 45.79/15.18  																																		|
% 45.79/15.18  																																		| Simplifying 356 yields:
% 45.79/15.18  																																		| (169)  ~ (e3 = e2)
% 45.79/15.18  																																		|
% 45.79/15.18  																																		+-Applying beta-rule and splitting (250), into two cases.
% 45.79/15.18  																																		|-Branch one:
% 45.79/15.18  																																		| (635) all_0_81_81 = e3
% 45.79/15.18  																																		|
% 45.79/15.18  																																			| Combining equations (477,635) yields a new equation:
% 45.79/15.18  																																			| (772) e3 = e1
% 45.79/15.18  																																			|
% 45.79/15.18  																																			| Equations (772) can reduce 20 to:
% 45.79/15.18  																																			| (311) $false
% 45.79/15.18  																																			|
% 45.79/15.18  																																			|-The branch is then unsatisfiable
% 45.79/15.18  																																		|-Branch two:
% 45.79/15.18  																																		| (420)  ~ (all_0_81_81 = e3)
% 45.79/15.18  																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 45.79/15.18  																																		|
% 45.79/15.18  																																			| Equations (477) can reduce 420 to:
% 45.79/15.18  																																			| (683)  ~ (e3 = e1)
% 45.79/15.18  																																			|
% 45.79/15.18  																																			| Simplifying 683 yields:
% 45.79/15.18  																																			| (20)  ~ (e3 = e1)
% 45.79/15.18  																																			|
% 45.79/15.18  																																			+-Applying beta-rule and splitting (249), into two cases.
% 45.79/15.18  																																			|-Branch one:
% 45.79/15.18  																																			| (910) all_0_82_82 = e0
% 45.79/15.18  																																			|
% 45.79/15.18  																																				| Combining equations (469,910) yields a new equation:
% 45.79/15.18  																																				| (911) e4 = e0
% 45.79/15.18  																																				|
% 45.79/15.18  																																				| Simplifying 911 yields:
% 45.79/15.18  																																				| (912) e4 = e0
% 45.79/15.18  																																				|
% 45.79/15.18  																																				| Equations (912) can reduce 23 to:
% 45.79/15.18  																																				| (311) $false
% 45.79/15.18  																																				|
% 45.79/15.18  																																				|-The branch is then unsatisfiable
% 45.79/15.18  																																			|-Branch two:
% 45.79/15.18  																																			| (914)  ~ (all_0_82_82 = e0)
% 45.79/15.18  																																			| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.79/15.18  																																			|
% 45.79/15.18  																																				+-Applying beta-rule and splitting (84), into two cases.
% 45.79/15.18  																																				|-Branch one:
% 45.79/15.18  																																				| (1704) all_0_96_96 = e2
% 45.79/15.18  																																				|
% 45.79/15.18  																																					| Equations (1704) can reduce 1638 to:
% 45.79/15.18  																																					| (311) $false
% 45.79/15.18  																																					|
% 45.79/15.18  																																					|-The branch is then unsatisfiable
% 45.79/15.18  																																				|-Branch two:
% 45.79/15.18  																																				| (1638)  ~ (all_0_96_96 = e2)
% 45.79/15.18  																																				| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.79/15.18  																																				|
% 45.79/15.18  																																					+-Applying beta-rule and splitting (270), into two cases.
% 45.79/15.18  																																					|-Branch one:
% 45.79/15.18  																																					| (744) all_0_95_95 = e3
% 45.79/15.18  																																					|
% 45.79/15.18  																																						| Equations (744) can reduce 229 to:
% 45.79/15.18  																																						| (745)  ~ (all_0_90_90 = e3)
% 45.79/15.18  																																						|
% 45.79/15.18  																																						+-Applying beta-rule and splitting (176), into two cases.
% 45.79/15.18  																																						|-Branch one:
% 45.79/15.18  																																						| (785) all_0_95_95 = e1
% 45.79/15.18  																																						|
% 45.79/15.18  																																							| Combining equations (744,785) yields a new equation:
% 45.79/15.18  																																							| (825) e3 = e1
% 45.79/15.18  																																							|
% 45.79/15.18  																																							| Simplifying 825 yields:
% 45.79/15.18  																																							| (772) e3 = e1
% 45.79/15.18  																																							|
% 45.79/15.18  																																							| Equations (772) can reduce 20 to:
% 45.79/15.18  																																							| (311) $false
% 45.79/15.18  																																							|
% 45.79/15.18  																																							|-The branch is then unsatisfiable
% 45.79/15.18  																																						|-Branch two:
% 45.79/15.18  																																						| (680)  ~ (all_0_95_95 = e1)
% 45.79/15.18  																																						| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.79/15.18  																																						|
% 45.79/15.18  																																							+-Applying beta-rule and splitting (788), into two cases.
% 45.79/15.18  																																							|-Branch one:
% 45.79/15.18  																																							| (960) all_0_96_96 = e1
% 45.79/15.18  																																							|
% 45.79/15.18  																																								| From (960) and (4960) follows:
% 45.79/15.18  																																								| (1959) op(e2, e1) = e0
% 45.79/15.18  																																								|
% 45.79/15.18  																																								+-Applying beta-rule and splitting (132), into two cases.
% 45.79/15.18  																																								|-Branch one:
% 45.79/15.18  																																								| (750) all_0_90_90 = e1
% 45.79/15.18  																																								|
% 45.79/15.18  																																									| Equations (750) can reduce 103 to:
% 45.79/15.18  																																									| (1669)  ~ (all_0_91_91 = e1)
% 45.79/15.18  																																									|
% 45.79/15.18  																																									| Simplifying 1669 yields:
% 45.79/15.18  																																									| (959)  ~ (all_0_91_91 = e1)
% 45.79/15.18  																																									|
% 45.79/15.18  																																									+-Applying beta-rule and splitting (284), into two cases.
% 45.79/15.18  																																									|-Branch one:
% 45.79/15.18  																																									| (1723) all_0_91_91 = e2
% 45.79/15.18  																																									|
% 45.79/15.18  																																										| Equations (1723) can reduce 296 to:
% 45.79/15.18  																																										| (311) $false
% 45.79/15.18  																																										|
% 45.79/15.18  																																										|-The branch is then unsatisfiable
% 45.79/15.18  																																									|-Branch two:
% 45.79/15.18  																																									| (296)  ~ (all_0_91_91 = e2)
% 45.79/15.18  																																									| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 45.79/15.18  																																									|
% 45.79/15.18  																																										+-Applying beta-rule and splitting (1726), into two cases.
% 45.79/15.18  																																										|-Branch one:
% 45.79/15.18  																																										| (801) all_0_91_91 = e1
% 45.79/15.18  																																										|
% 45.79/15.18  																																											| Equations (801) can reduce 959 to:
% 45.79/15.18  																																											| (311) $false
% 45.79/15.18  																																											|
% 45.79/15.18  																																											|-The branch is then unsatisfiable
% 45.79/15.18  																																										|-Branch two:
% 45.79/15.18  																																										| (959)  ~ (all_0_91_91 = e1)
% 45.79/15.18  																																										| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 45.79/15.18  																																										|
% 45.79/15.18  																																											+-Applying beta-rule and splitting (1880), into two cases.
% 45.79/15.18  																																											|-Branch one:
% 45.79/15.18  																																											| (588) all_0_91_91 = e3
% 45.79/15.18  																																											|
% 45.79/15.18  																																												| Equations (588) can reduce 571 to:
% 45.79/15.18  																																												| (311) $false
% 45.79/15.18  																																												|
% 45.79/15.18  																																												|-The branch is then unsatisfiable
% 45.79/15.18  																																											|-Branch two:
% 45.79/15.18  																																											| (571)  ~ (all_0_91_91 = e3)
% 45.79/15.18  																																											| (1456) all_0_91_91 = e0
% 45.79/15.18  																																											|
% 45.79/15.18  																																												| Equations (1456) can reduce 959 to:
% 45.79/15.18  																																												| (859)  ~ (e1 = e0)
% 45.79/15.18  																																												|
% 45.79/15.18  																																												| Simplifying 859 yields:
% 45.79/15.18  																																												| (264)  ~ (e1 = e0)
% 45.79/15.18  																																												|
% 45.79/15.18  																																												| Instantiating formula (262) with e2, e1, e0, e1 and discharging atoms op(e2, e1) = e1, op(e2, e1) = e0, yields:
% 45.79/15.18  																																												| (865) e1 = e0
% 45.79/15.18  																																												|
% 45.79/15.18  																																												| Equations (865) can reduce 264 to:
% 45.79/15.18  																																												| (311) $false
% 45.79/15.18  																																												|
% 45.79/15.18  																																												|-The branch is then unsatisfiable
% 45.79/15.18  																																								|-Branch two:
% 45.79/15.18  																																								| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.18  																																								| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.79/15.18  																																								|
% 45.79/15.18  																																									+-Applying beta-rule and splitting (27), into two cases.
% 45.79/15.18  																																									|-Branch one:
% 45.79/15.18  																																									| (746) all_0_90_90 = e2
% 45.79/15.18  																																									|
% 45.79/15.18  																																										| Equations (746) can reduce 294 to:
% 45.79/15.18  																																										| (311) $false
% 45.79/15.18  																																										|
% 45.79/15.18  																																										|-The branch is then unsatisfiable
% 45.79/15.18  																																									|-Branch two:
% 45.79/15.18  																																									| (294)  ~ (all_0_90_90 = e2)
% 45.79/15.18  																																									| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.79/15.18  																																									|
% 45.79/15.18  																																										+-Applying beta-rule and splitting (282), into two cases.
% 45.79/15.18  																																										|-Branch one:
% 45.79/15.18  																																										| (754) all_0_90_90 = e3
% 45.79/15.18  																																										|
% 45.79/15.19  																																											| Equations (754) can reduce 745 to:
% 45.79/15.19  																																											| (311) $false
% 45.79/15.19  																																											|
% 45.79/15.19  																																											|-The branch is then unsatisfiable
% 45.79/15.19  																																										|-Branch two:
% 45.79/15.19  																																										| (745)  ~ (all_0_90_90 = e3)
% 45.79/15.19  																																										| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.79/15.19  																																										|
% 45.79/15.19  																																											+-Applying beta-rule and splitting (291), into two cases.
% 45.79/15.19  																																											|-Branch one:
% 45.79/15.19  																																											| (758) all_0_90_90 = e0
% 45.79/15.19  																																											|
% 45.79/15.19  																																												| Equations (758) can reduce 762 to:
% 45.79/15.19  																																												| (311) $false
% 45.79/15.19  																																												|
% 45.79/15.19  																																												|-The branch is then unsatisfiable
% 45.79/15.19  																																											|-Branch two:
% 45.79/15.19  																																											| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.19  																																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.79/15.19  																																											|
% 45.79/15.19  																																												+-Applying beta-rule and splitting (749), into two cases.
% 45.79/15.19  																																												|-Branch one:
% 45.79/15.19  																																												| (750) all_0_90_90 = e1
% 45.79/15.19  																																												|
% 45.79/15.19  																																													| Equations (750) can reduce 678 to:
% 45.79/15.19  																																													| (311) $false
% 45.79/15.19  																																													|
% 45.79/15.19  																																													|-The branch is then unsatisfiable
% 45.79/15.19  																																												|-Branch two:
% 45.79/15.19  																																												| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.19  																																												| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.79/15.19  																																												|
% 45.79/15.19  																																													+-Applying beta-rule and splitting (753), into two cases.
% 45.79/15.19  																																													|-Branch one:
% 45.79/15.19  																																													| (754) all_0_90_90 = e3
% 45.79/15.19  																																													|
% 45.79/15.19  																																														| Equations (754) can reduce 745 to:
% 45.79/15.19  																																														| (311) $false
% 45.79/15.19  																																														|
% 45.79/15.19  																																														|-The branch is then unsatisfiable
% 45.79/15.19  																																													|-Branch two:
% 45.79/15.19  																																													| (745)  ~ (all_0_90_90 = e3)
% 45.79/15.19  																																													| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.79/15.19  																																													|
% 45.79/15.19  																																														+-Applying beta-rule and splitting (757), into two cases.
% 45.79/15.19  																																														|-Branch one:
% 45.79/15.19  																																														| (758) all_0_90_90 = e0
% 45.79/15.19  																																														|
% 45.79/15.19  																																															| Equations (758) can reduce 762 to:
% 45.79/15.19  																																															| (311) $false
% 45.79/15.19  																																															|
% 45.79/15.19  																																															|-The branch is then unsatisfiable
% 45.79/15.19  																																														|-Branch two:
% 45.79/15.19  																																														| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.19  																																														| (583) all_0_90_90 = e4
% 45.79/15.19  																																														|
% 45.79/15.19  																																															| Equations (583) can reduce 467 to:
% 45.79/15.19  																																															| (311) $false
% 45.79/15.19  																																															|
% 45.79/15.19  																																															|-The branch is then unsatisfiable
% 45.79/15.19  																																							|-Branch two:
% 45.79/15.19  																																							| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																							| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.79/15.19  																																							|
% 45.79/15.19  																																								+-Applying beta-rule and splitting (2126), into two cases.
% 45.79/15.19  																																								|-Branch one:
% 45.79/15.19  																																								| (542) all_0_97_97 = e1
% 45.79/15.19  																																								|
% 45.79/15.19  																																									| Combining equations (538,542) yields a new equation:
% 45.79/15.19  																																									| (408) e2 = e1
% 45.79/15.19  																																									|
% 45.79/15.19  																																									| Simplifying 408 yields:
% 45.79/15.19  																																									| (385) e2 = e1
% 45.79/15.19  																																									|
% 45.79/15.19  																																									| Equations (385) can reduce 243 to:
% 45.79/15.19  																																									| (311) $false
% 45.79/15.19  																																									|
% 45.79/15.19  																																									|-The branch is then unsatisfiable
% 45.79/15.19  																																								|-Branch two:
% 45.79/15.19  																																								| (486)  ~ (all_0_97_97 = e1)
% 45.79/15.19  																																								| (1543) all_0_98_98 = e1
% 45.79/15.19  																																								|
% 45.79/15.19  																																									| Equations (1543) can reduce 1804 to:
% 45.79/15.19  																																									| (311) $false
% 45.79/15.19  																																									|
% 45.79/15.19  																																									|-The branch is then unsatisfiable
% 45.79/15.19  																																					|-Branch two:
% 45.79/15.19  																																					| (765)  ~ (all_0_95_95 = e3)
% 45.79/15.19  																																					| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.79/15.19  																																					|
% 45.79/15.19  																																						+-Applying beta-rule and splitting (766), into two cases.
% 45.79/15.19  																																						|-Branch one:
% 45.79/15.19  																																						| (778) all_0_96_96 = e3
% 45.79/15.19  																																						|
% 45.79/15.19  																																							| Equations (778) can reduce 964 to:
% 45.79/15.19  																																							| (311) $false
% 45.79/15.19  																																							|
% 45.79/15.19  																																							|-The branch is then unsatisfiable
% 45.79/15.19  																																						|-Branch two:
% 45.79/15.19  																																						| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.19  																																						| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.79/15.19  																																						|
% 45.79/15.19  																																							+-Applying beta-rule and splitting (965), into two cases.
% 45.79/15.19  																																							|-Branch one:
% 45.79/15.19  																																							| (556) all_0_97_97 = e3
% 45.79/15.19  																																							|
% 45.79/15.19  																																								| Combining equations (556,538) yields a new equation:
% 45.79/15.19  																																								| (547) e3 = e2
% 45.79/15.19  																																								|
% 45.79/15.19  																																								| Simplifying 547 yields:
% 45.79/15.19  																																								| (548) e3 = e2
% 45.79/15.19  																																								|
% 45.79/15.19  																																								| Equations (548) can reduce 169 to:
% 45.79/15.19  																																								| (311) $false
% 45.79/15.19  																																								|
% 45.79/15.19  																																								|-The branch is then unsatisfiable
% 45.79/15.19  																																							|-Branch two:
% 45.79/15.19  																																							| (428)  ~ (all_0_97_97 = e3)
% 45.79/15.19  																																							| (969) all_0_98_98 = e3
% 45.79/15.19  																																							|
% 45.79/15.19  																																								| Equations (969) can reduce 75 to:
% 45.79/15.19  																																								| (952)  ~ (all_0_85_85 = e3)
% 45.79/15.19  																																								|
% 45.79/15.19  																																								| Equations (969) can reduce 107 to:
% 45.79/15.19  																																								| (765)  ~ (all_0_95_95 = e3)
% 45.79/15.19  																																								|
% 45.79/15.19  																																								| Equations (969) can reduce 43 to:
% 45.79/15.19  																																								| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.19  																																								|
% 45.79/15.19  																																								| Equations (969) can reduce 1349 to:
% 45.79/15.19  																																								| (169)  ~ (e3 = e2)
% 45.79/15.19  																																								|
% 45.79/15.19  																																								+-Applying beta-rule and splitting (99), into two cases.
% 45.79/15.19  																																								|-Branch one:
% 45.79/15.19  																																								| (767) all_0_95_95 = e2
% 45.79/15.19  																																								|
% 45.79/15.19  																																									| Equations (767) can reduce 355 to:
% 45.79/15.19  																																									| (311) $false
% 45.79/15.19  																																									|
% 45.79/15.19  																																									|-The branch is then unsatisfiable
% 45.79/15.19  																																								|-Branch two:
% 45.79/15.19  																																								| (355)  ~ (all_0_95_95 = e2)
% 45.79/15.19  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.79/15.19  																																								|
% 45.79/15.19  																																									+-Applying beta-rule and splitting (770), into two cases.
% 45.79/15.19  																																									|-Branch one:
% 45.79/15.19  																																									| (785) all_0_95_95 = e1
% 45.79/15.19  																																									|
% 45.79/15.19  																																										| Equations (785) can reduce 229 to:
% 45.79/15.19  																																										| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.19  																																										|
% 45.79/15.19  																																										| Equations (785) can reduce 279 to:
% 45.79/15.19  																																										| (1671)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																										|
% 45.79/15.19  																																										| Simplifying 1671 yields:
% 45.79/15.19  																																										| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																										|
% 45.79/15.19  																																										+-Applying beta-rule and splitting (132), into two cases.
% 45.79/15.19  																																										|-Branch one:
% 45.79/15.19  																																										| (750) all_0_90_90 = e1
% 45.79/15.19  																																										|
% 45.79/15.19  																																											| Equations (750) can reduce 678 to:
% 45.79/15.19  																																											| (311) $false
% 45.79/15.19  																																											|
% 45.79/15.19  																																											|-The branch is then unsatisfiable
% 45.79/15.19  																																										|-Branch two:
% 45.79/15.19  																																										| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.19  																																										| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.79/15.19  																																										|
% 45.79/15.19  																																											+-Applying beta-rule and splitting (1526), into two cases.
% 45.79/15.19  																																											|-Branch one:
% 45.79/15.19  																																											| (801) all_0_91_91 = e1
% 45.79/15.19  																																											|
% 45.79/15.19  																																												| Equations (801) can reduce 103 to:
% 45.79/15.19  																																												| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.19  																																												|
% 45.79/15.19  																																												| Equations (801) can reduce 64 to:
% 45.79/15.19  																																												| (1671)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																												|
% 45.79/15.19  																																												| Simplifying 1671 yields:
% 45.79/15.19  																																												| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																												|
% 45.79/15.19  																																												+-Applying beta-rule and splitting (291), into two cases.
% 45.79/15.19  																																												|-Branch one:
% 45.79/15.19  																																												| (758) all_0_90_90 = e0
% 45.79/15.19  																																												|
% 45.79/15.19  																																													| Equations (758) can reduce 762 to:
% 45.79/15.19  																																													| (311) $false
% 45.79/15.19  																																													|
% 45.79/15.19  																																													|-The branch is then unsatisfiable
% 45.79/15.19  																																												|-Branch two:
% 45.79/15.19  																																												| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.19  																																												| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.79/15.19  																																												|
% 45.79/15.19  																																													+-Applying beta-rule and splitting (27), into two cases.
% 45.79/15.19  																																													|-Branch one:
% 45.79/15.19  																																													| (746) all_0_90_90 = e2
% 45.79/15.19  																																													|
% 45.79/15.19  																																														| Equations (746) can reduce 294 to:
% 45.79/15.19  																																														| (311) $false
% 45.79/15.19  																																														|
% 45.79/15.19  																																														|-The branch is then unsatisfiable
% 45.79/15.19  																																													|-Branch two:
% 45.79/15.19  																																													| (294)  ~ (all_0_90_90 = e2)
% 45.79/15.19  																																													| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.79/15.19  																																													|
% 45.79/15.19  																																														+-Applying beta-rule and splitting (1707), into two cases.
% 45.79/15.19  																																														|-Branch one:
% 45.79/15.19  																																														| (960) all_0_96_96 = e1
% 45.79/15.19  																																														|
% 45.79/15.19  																																															| Equations (960) can reduce 1479 to:
% 45.79/15.19  																																															| (311) $false
% 45.79/15.19  																																															|
% 45.79/15.19  																																															|-The branch is then unsatisfiable
% 45.79/15.19  																																														|-Branch two:
% 45.79/15.19  																																														| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.19  																																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.79/15.19  																																														|
% 45.79/15.19  																																															+-Applying beta-rule and splitting (289), into two cases.
% 45.79/15.19  																																															|-Branch one:
% 45.79/15.19  																																															| (954) all_0_85_85 = e0
% 45.79/15.19  																																															|
% 45.79/15.19  																																																| Equations (954) can reduce 154 to:
% 45.79/15.19  																																																| (919)  ~ (all_0_84_84 = e0)
% 45.79/15.19  																																																|
% 45.79/15.19  																																																+-Applying beta-rule and splitting (2), into two cases.
% 45.79/15.19  																																																|-Branch one:
% 45.79/15.19  																																																| (916) all_0_84_84 = e0
% 45.79/15.19  																																																|
% 45.79/15.19  																																																	| Equations (916) can reduce 919 to:
% 45.79/15.19  																																																	| (311) $false
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																	|-The branch is then unsatisfiable
% 45.79/15.19  																																																|-Branch two:
% 45.79/15.19  																																																| (919)  ~ (all_0_84_84 = e0)
% 45.79/15.19  																																																| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.79/15.19  																																																|
% 45.79/15.19  																																																	+-Applying beta-rule and splitting (119), into two cases.
% 45.79/15.19  																																																	|-Branch one:
% 45.79/15.19  																																																	| (1343) all_0_92_92 = e2
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																		| Equations (1343) can reduce 298 to:
% 45.79/15.19  																																																		| (311) $false
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																		|-The branch is then unsatisfiable
% 45.79/15.19  																																																	|-Branch two:
% 45.79/15.19  																																																	| (298)  ~ (all_0_92_92 = e2)
% 45.79/15.19  																																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																		+-Applying beta-rule and splitting (2016), into two cases.
% 45.79/15.19  																																																		|-Branch one:
% 45.79/15.19  																																																		| (778) all_0_96_96 = e3
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																			| Equations (778) can reduce 964 to:
% 45.79/15.19  																																																			| (311) $false
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			|-The branch is then unsatisfiable
% 45.79/15.19  																																																		|-Branch two:
% 45.79/15.19  																																																		| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.19  																																																		| (1837) all_0_96_96 = e0
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																			| Equations (1837) can reduce 1638 to:
% 45.79/15.19  																																																			| (510)  ~ (e2 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Simplifying 510 yields:
% 45.79/15.19  																																																			| (76)  ~ (e2 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Equations (1837) can reduce 1479 to:
% 45.79/15.19  																																																			| (859)  ~ (e1 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Simplifying 859 yields:
% 45.79/15.19  																																																			| (264)  ~ (e1 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| From (1837) and (4960) follows:
% 45.79/15.19  																																																			| (2170) op(e2, e0) = e0
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			+-Applying beta-rule and splitting (920), into two cases.
% 45.79/15.19  																																																			|-Branch one:
% 45.79/15.19  																																																			| (861) all_0_87_87 = e0
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																				| Combining equations (482,861) yields a new equation:
% 45.79/15.19  																																																				| (1107) e1 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				| Simplifying 1107 yields:
% 45.79/15.19  																																																				| (865) e1 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				| Equations (865) can reduce 264 to:
% 45.79/15.19  																																																				| (311) $false
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				|-The branch is then unsatisfiable
% 45.79/15.19  																																																			|-Branch two:
% 45.79/15.19  																																																			| (889)  ~ (all_0_87_87 = e0)
% 45.79/15.19  																																																			| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																				+-Applying beta-rule and splitting (931), into two cases.
% 45.79/15.19  																																																				|-Branch one:
% 45.79/15.19  																																																				| (942) all_0_92_92 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																					| Equations (942) can reduce 298 to:
% 45.79/15.19  																																																					| (510)  ~ (e2 = e0)
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					| Simplifying 510 yields:
% 45.79/15.19  																																																					| (76)  ~ (e2 = e0)
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 45.79/15.19  																																																					| (379) e2 = e0
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					| Equations (379) can reduce 76 to:
% 45.79/15.19  																																																					| (311) $false
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					|-The branch is then unsatisfiable
% 45.79/15.19  																																																				|-Branch two:
% 45.79/15.19  																																																				| (946)  ~ (all_0_92_92 = e0)
% 45.79/15.19  																																																				| (560) all_0_97_97 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																					| Combining equations (560,538) yields a new equation:
% 45.79/15.19  																																																					| (379) e2 = e0
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					| Equations (379) can reduce 76 to:
% 45.79/15.19  																																																					| (311) $false
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					|-The branch is then unsatisfiable
% 45.79/15.19  																																															|-Branch two:
% 45.79/15.19  																																															| (800)  ~ (all_0_85_85 = e0)
% 45.79/15.19  																																															| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.79/15.19  																																															|
% 45.79/15.19  																																																+-Applying beta-rule and splitting (749), into two cases.
% 45.79/15.19  																																																|-Branch one:
% 45.79/15.19  																																																| (750) all_0_90_90 = e1
% 45.79/15.19  																																																|
% 45.79/15.19  																																																	| Equations (750) can reduce 678 to:
% 45.79/15.19  																																																	| (311) $false
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																	|-The branch is then unsatisfiable
% 45.79/15.19  																																																|-Branch two:
% 45.79/15.19  																																																| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.19  																																																| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.79/15.19  																																																|
% 45.79/15.19  																																																	+-Applying beta-rule and splitting (1296), into two cases.
% 45.79/15.19  																																																	|-Branch one:
% 45.79/15.19  																																																	| (795) all_0_83_83 = e3
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																		| Combining equations (453,795) yields a new equation:
% 45.79/15.19  																																																		| (548) e3 = e2
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																		| Equations (548) can reduce 169 to:
% 45.79/15.19  																																																		| (311) $false
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																		|-The branch is then unsatisfiable
% 45.79/15.19  																																																	|-Branch two:
% 45.79/15.19  																																																	| (779)  ~ (all_0_83_83 = e3)
% 45.79/15.19  																																																	| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.79/15.19  																																																	|
% 45.79/15.19  																																																		+-Applying beta-rule and splitting (2016), into two cases.
% 45.79/15.19  																																																		|-Branch one:
% 45.79/15.19  																																																		| (778) all_0_96_96 = e3
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																			| Equations (778) can reduce 964 to:
% 45.79/15.19  																																																			| (311) $false
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			|-The branch is then unsatisfiable
% 45.79/15.19  																																																		|-Branch two:
% 45.79/15.19  																																																		| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.19  																																																		| (1837) all_0_96_96 = e0
% 45.79/15.19  																																																		|
% 45.79/15.19  																																																			| Equations (1837) can reduce 115 to:
% 45.79/15.19  																																																			| (904)  ~ (e4 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Simplifying 904 yields:
% 45.79/15.19  																																																			| (23)  ~ (e4 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Equations (1837) can reduce 1638 to:
% 45.79/15.19  																																																			| (510)  ~ (e2 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Simplifying 510 yields:
% 45.79/15.19  																																																			| (76)  ~ (e2 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Equations (1837) can reduce 1479 to:
% 45.79/15.19  																																																			| (859)  ~ (e1 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			| Simplifying 859 yields:
% 45.79/15.19  																																																			| (264)  ~ (e1 = e0)
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																			+-Applying beta-rule and splitting (1455), into two cases.
% 45.79/15.19  																																																			|-Branch one:
% 45.79/15.19  																																																			| (1456) all_0_91_91 = e0
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																				| Combining equations (801,1456) yields a new equation:
% 45.79/15.19  																																																				| (1107) e1 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				| Simplifying 1107 yields:
% 45.79/15.19  																																																				| (865) e1 = e0
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				| Equations (865) can reduce 264 to:
% 45.79/15.19  																																																				| (311) $false
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																				|-The branch is then unsatisfiable
% 45.79/15.19  																																																			|-Branch two:
% 45.79/15.19  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 45.79/15.19  																																																			| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.79/15.19  																																																			|
% 45.79/15.19  																																																				+-Applying beta-rule and splitting (753), into two cases.
% 45.79/15.19  																																																				|-Branch one:
% 45.79/15.19  																																																				| (754) all_0_90_90 = e3
% 45.79/15.19  																																																				|
% 45.79/15.19  																																																					| Equations (754) can reduce 762 to:
% 45.79/15.19  																																																					| (50)  ~ (e3 = e0)
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																					+-Applying beta-rule and splitting (1594), into two cases.
% 45.79/15.19  																																																					|-Branch one:
% 45.79/15.19  																																																					| (1265) all_0_84_84 = e3
% 45.79/15.19  																																																					|
% 45.79/15.19  																																																						+-Applying beta-rule and splitting (2), into two cases.
% 45.79/15.19  																																																						|-Branch one:
% 45.79/15.19  																																																						| (916) all_0_84_84 = e0
% 45.79/15.19  																																																						|
% 45.79/15.19  																																																							| Combining equations (1265,916) yields a new equation:
% 45.79/15.19  																																																							| (599) e3 = e0
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																							| Simplifying 599 yields:
% 45.79/15.19  																																																							| (600) e3 = e0
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																							| Equations (600) can reduce 50 to:
% 45.79/15.19  																																																							| (311) $false
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																							|-The branch is then unsatisfiable
% 45.79/15.19  																																																						|-Branch two:
% 45.79/15.19  																																																						| (919)  ~ (all_0_84_84 = e0)
% 45.79/15.19  																																																						| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.79/15.19  																																																						|
% 45.79/15.19  																																																							| Equations (1265) can reduce 919 to:
% 45.79/15.19  																																																							| (50)  ~ (e3 = e0)
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																							+-Applying beta-rule and splitting (1309), into two cases.
% 45.79/15.19  																																																							|-Branch one:
% 45.79/15.19  																																																							| (798) all_0_83_83 = e0
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																								| Combining equations (798,453) yields a new equation:
% 45.79/15.19  																																																								| (379) e2 = e0
% 45.79/15.19  																																																								|
% 45.79/15.19  																																																								| Equations (379) can reduce 76 to:
% 45.79/15.19  																																																								| (311) $false
% 45.79/15.19  																																																								|
% 45.79/15.19  																																																								|-The branch is then unsatisfiable
% 45.79/15.19  																																																							|-Branch two:
% 45.79/15.19  																																																							| (1314)  ~ (all_0_83_83 = e0)
% 45.79/15.19  																																																							| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.79/15.19  																																																							|
% 45.79/15.19  																																																								+-Applying beta-rule and splitting (1315), into two cases.
% 45.79/15.19  																																																								|-Branch one:
% 45.79/15.19  																																																								| (916) all_0_84_84 = e0
% 45.79/15.19  																																																								|
% 45.79/15.19  																																																									| Combining equations (1265,916) yields a new equation:
% 45.79/15.19  																																																									| (599) e3 = e0
% 45.79/15.19  																																																									|
% 45.79/15.19  																																																									| Simplifying 599 yields:
% 45.79/15.19  																																																									| (600) e3 = e0
% 45.79/15.19  																																																									|
% 45.79/15.19  																																																									| Equations (600) can reduce 50 to:
% 45.79/15.19  																																																									| (311) $false
% 45.79/15.19  																																																									|
% 45.79/15.19  																																																									|-The branch is then unsatisfiable
% 45.79/15.19  																																																								|-Branch two:
% 45.79/15.19  																																																								| (919)  ~ (all_0_84_84 = e0)
% 45.79/15.19  																																																								| (954) all_0_85_85 = e0
% 45.79/15.19  																																																								|
% 45.79/15.19  																																																									| Equations (954) can reduce 800 to:
% 45.79/15.19  																																																									| (311) $false
% 45.79/15.19  																																																									|
% 45.79/15.19  																																																									|-The branch is then unsatisfiable
% 45.79/15.20  																																																					|-Branch two:
% 45.79/15.20  																																																					| (422)  ~ (all_0_84_84 = e3)
% 45.79/15.20  																																																					| (804) all_0_85_85 = e3
% 45.79/15.20  																																																					|
% 45.79/15.20  																																																						| Equations (804) can reduce 952 to:
% 45.79/15.20  																																																						| (311) $false
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																						|-The branch is then unsatisfiable
% 45.79/15.20  																																																				|-Branch two:
% 45.79/15.20  																																																				| (745)  ~ (all_0_90_90 = e3)
% 45.79/15.20  																																																				| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.79/15.20  																																																				|
% 45.79/15.20  																																																					+-Applying beta-rule and splitting (1488), into two cases.
% 45.79/15.20  																																																					|-Branch one:
% 45.79/15.20  																																																					| (942) all_0_92_92 = e0
% 45.79/15.20  																																																					|
% 45.79/15.20  																																																						| Equations (942) can reduce 72 to:
% 45.79/15.20  																																																						| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																						+-Applying beta-rule and splitting (757), into two cases.
% 45.79/15.20  																																																						|-Branch one:
% 45.79/15.20  																																																						| (758) all_0_90_90 = e0
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																							| Equations (758) can reduce 762 to:
% 45.79/15.20  																																																							| (311) $false
% 45.79/15.20  																																																							|
% 45.79/15.20  																																																							|-The branch is then unsatisfiable
% 45.79/15.20  																																																						|-Branch two:
% 45.79/15.20  																																																						| (762)  ~ (all_0_90_90 = e0)
% 45.79/15.20  																																																						| (583) all_0_90_90 = e4
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																							| Equations (583) can reduce 467 to:
% 45.79/15.20  																																																							| (311) $false
% 45.79/15.20  																																																							|
% 45.79/15.20  																																																							|-The branch is then unsatisfiable
% 45.79/15.20  																																																					|-Branch two:
% 45.79/15.20  																																																					| (946)  ~ (all_0_92_92 = e0)
% 45.79/15.20  																																																					| (604) all_0_93_93 = e0
% 45.79/15.20  																																																					|
% 45.79/15.20  																																																						| Combining equations (607,604) yields a new equation:
% 45.79/15.20  																																																						| (911) e4 = e0
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																						| Simplifying 911 yields:
% 45.79/15.20  																																																						| (912) e4 = e0
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																						| Equations (912) can reduce 23 to:
% 45.79/15.20  																																																						| (311) $false
% 45.79/15.20  																																																						|
% 45.79/15.20  																																																						|-The branch is then unsatisfiable
% 45.79/15.20  																																											|-Branch two:
% 45.79/15.20  																																											| (959)  ~ (all_0_91_91 = e1)
% 45.79/15.20  																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.79/15.20  																																											|
% 45.79/15.20  																																												+-Applying beta-rule and splitting (1707), into two cases.
% 45.79/15.20  																																												|-Branch one:
% 45.79/15.20  																																												| (960) all_0_96_96 = e1
% 45.79/15.20  																																												|
% 45.79/15.20  																																													| Equations (960) can reduce 1479 to:
% 45.79/15.20  																																													| (311) $false
% 45.79/15.20  																																													|
% 45.79/15.20  																																													|-The branch is then unsatisfiable
% 45.79/15.20  																																												|-Branch two:
% 45.79/15.20  																																												| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.20  																																												| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.79/15.20  																																												|
% 45.79/15.20  																																													+-Applying beta-rule and splitting (2016), into two cases.
% 45.79/15.20  																																													|-Branch one:
% 45.79/15.20  																																													| (778) all_0_96_96 = e3
% 45.79/15.20  																																													|
% 45.79/15.20  																																														| Equations (778) can reduce 964 to:
% 45.79/15.20  																																														| (311) $false
% 45.79/15.20  																																														|
% 45.79/15.20  																																														|-The branch is then unsatisfiable
% 45.79/15.20  																																													|-Branch two:
% 45.79/15.20  																																													| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.20  																																													| (1837) all_0_96_96 = e0
% 45.79/15.20  																																													|
% 45.79/15.20  																																														| Equations (1837) can reduce 1479 to:
% 45.79/15.20  																																														| (859)  ~ (e1 = e0)
% 45.79/15.20  																																														|
% 45.79/15.20  																																														| Simplifying 859 yields:
% 45.79/15.20  																																														| (264)  ~ (e1 = e0)
% 45.79/15.20  																																														|
% 45.79/15.20  																																														+-Applying beta-rule and splitting (462), into two cases.
% 45.79/15.20  																																														|-Branch one:
% 45.79/15.20  																																														| (801) all_0_91_91 = e1
% 45.79/15.20  																																														|
% 45.79/15.20  																																															| Equations (801) can reduce 959 to:
% 45.79/15.20  																																															| (311) $false
% 45.79/15.20  																																															|
% 45.79/15.20  																																															|-The branch is then unsatisfiable
% 45.79/15.20  																																														|-Branch two:
% 45.79/15.20  																																														| (959)  ~ (all_0_91_91 = e1)
% 45.79/15.20  																																														| (960) all_0_96_96 = e1
% 45.79/15.20  																																														|
% 45.79/15.20  																																															| Combining equations (1837,960) yields a new equation:
% 45.79/15.20  																																															| (865) e1 = e0
% 45.79/15.20  																																															|
% 45.79/15.20  																																															| Equations (865) can reduce 264 to:
% 45.79/15.20  																																															| (311) $false
% 45.79/15.20  																																															|
% 45.79/15.20  																																															|-The branch is then unsatisfiable
% 45.79/15.20  																																									|-Branch two:
% 45.79/15.20  																																									| (680)  ~ (all_0_95_95 = e1)
% 45.79/15.20  																																									| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.79/15.20  																																									|
% 45.79/15.20  																																										+-Applying beta-rule and splitting (102), into two cases.
% 45.79/15.20  																																										|-Branch one:
% 45.79/15.20  																																										| (858) all_0_95_95 = e0
% 45.79/15.20  																																										|
% 45.79/15.20  																																											| Equations (858) can reduce 893 to:
% 45.79/15.20  																																											| (311) $false
% 45.79/15.20  																																											|
% 45.79/15.20  																																											|-The branch is then unsatisfiable
% 45.79/15.20  																																										|-Branch two:
% 45.79/15.20  																																										| (893)  ~ (all_0_95_95 = e0)
% 45.79/15.20  																																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.79/15.20  																																										|
% 45.79/15.20  																																											+-Applying beta-rule and splitting (853), into two cases.
% 45.79/15.20  																																											|-Branch one:
% 45.79/15.20  																																											| (744) all_0_95_95 = e3
% 45.79/15.20  																																											|
% 45.79/15.20  																																												| Equations (744) can reduce 765 to:
% 45.79/15.20  																																												| (311) $false
% 45.79/15.20  																																												|
% 45.79/15.20  																																												|-The branch is then unsatisfiable
% 45.79/15.20  																																											|-Branch two:
% 45.79/15.20  																																											| (765)  ~ (all_0_95_95 = e3)
% 45.79/15.20  																																											| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 45.79/15.20  																																											|
% 45.79/15.20  																																												+-Applying beta-rule and splitting (857), into two cases.
% 45.79/15.20  																																												|-Branch one:
% 45.79/15.20  																																												| (858) all_0_95_95 = e0
% 45.79/15.20  																																												|
% 45.79/15.20  																																													| Equations (858) can reduce 893 to:
% 45.79/15.20  																																													| (311) $false
% 45.79/15.20  																																													|
% 45.79/15.20  																																													|-The branch is then unsatisfiable
% 45.79/15.20  																																												|-Branch two:
% 45.79/15.20  																																												| (893)  ~ (all_0_95_95 = e0)
% 45.79/15.20  																																												| (894) all_0_95_95 = e4
% 45.79/15.20  																																												|
% 45.79/15.20  																																													| Equations (894) can reduce 315 to:
% 45.79/15.20  																																													| (311) $false
% 45.79/15.20  																																													|
% 45.79/15.20  																																													|-The branch is then unsatisfiable
% 45.79/15.20  																															|-Branch two:
% 45.79/15.20  																															| (496)  ~ (all_0_93_93 = e4)
% 45.79/15.20  																															| (2650) all_0_98_98 = e4
% 45.79/15.20  																															|
% 45.79/15.20  																																| Equations (2650) can reduce 321 to:
% 45.79/15.20  																																| (311) $false
% 45.79/15.20  																																|
% 45.79/15.20  																																|-The branch is then unsatisfiable
% 45.79/15.20  																												|-Branch two:
% 45.79/15.20  																												| (465)  ~ (all_0_82_82 = e4)
% 45.79/15.20  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.79/15.20  																												|
% 45.79/15.20  																													+-Applying beta-rule and splitting (472), into two cases.
% 45.79/15.20  																													|-Branch one:
% 45.79/15.20  																													| (438) all_0_84_84 = e4
% 45.79/15.20  																													|
% 45.79/15.20  																														| Equations (438) can reduce 417 to:
% 45.79/15.20  																														| (311) $false
% 45.79/15.20  																														|
% 45.79/15.20  																														|-The branch is then unsatisfiable
% 45.79/15.20  																													|-Branch two:
% 45.79/15.20  																													| (417)  ~ (all_0_84_84 = e4)
% 45.79/15.20  																													| (493) all_0_85_85 = e4
% 45.79/15.20  																													|
% 45.79/15.20  																														| Equations (493) can reduce 209 to:
% 45.79/15.20  																														| (465)  ~ (all_0_82_82 = e4)
% 45.79/15.20  																														|
% 45.79/15.20  																														| Equations (493) can reduce 515 to:
% 45.79/15.20  																														| (79)  ~ (e4 = e2)
% 45.79/15.20  																														|
% 45.79/15.20  																														+-Applying beta-rule and splitting (249), into two cases.
% 45.79/15.20  																														|-Branch one:
% 45.79/15.20  																														| (910) all_0_82_82 = e0
% 45.79/15.20  																														|
% 45.79/15.20  																															| Equations (910) can reduce 914 to:
% 45.79/15.20  																															| (311) $false
% 45.79/15.20  																															|
% 45.79/15.20  																															|-The branch is then unsatisfiable
% 45.79/15.20  																														|-Branch two:
% 45.79/15.20  																														| (914)  ~ (all_0_82_82 = e0)
% 45.79/15.20  																														| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.79/15.20  																														|
% 45.79/15.20  																															+-Applying beta-rule and splitting (1309), into two cases.
% 45.79/15.20  																															|-Branch one:
% 45.79/15.20  																															| (798) all_0_83_83 = e0
% 45.79/15.20  																															|
% 45.79/15.20  																																| Combining equations (453,798) yields a new equation:
% 45.79/15.20  																																| (923) e2 = e0
% 45.79/15.20  																																|
% 45.79/15.20  																																| Simplifying 923 yields:
% 45.79/15.20  																																| (379) e2 = e0
% 45.79/15.20  																																|
% 45.79/15.20  																																| Equations (379) can reduce 76 to:
% 45.79/15.20  																																| (311) $false
% 45.79/15.20  																																|
% 45.79/15.20  																																|-The branch is then unsatisfiable
% 45.79/15.20  																															|-Branch two:
% 45.79/15.20  																															| (1314)  ~ (all_0_83_83 = e0)
% 45.79/15.20  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.79/15.20  																															|
% 45.79/15.20  																																+-Applying beta-rule and splitting (1315), into two cases.
% 45.79/15.20  																																|-Branch one:
% 45.79/15.20  																																| (916) all_0_84_84 = e0
% 45.79/15.20  																																|
% 45.79/15.20  																																	| Equations (916) can reduce 87 to:
% 45.79/15.20  																																	| (2299)  ~ (all_0_92_92 = e0)
% 45.79/15.20  																																	|
% 45.79/15.20  																																	| Simplifying 2299 yields:
% 45.79/15.20  																																	| (946)  ~ (all_0_92_92 = e0)
% 45.79/15.20  																																	|
% 45.79/15.20  																																	| Equations (916) can reduce 259 to:
% 45.79/15.20  																																	| (859)  ~ (e1 = e0)
% 45.79/15.20  																																	|
% 45.79/15.20  																																	| Simplifying 859 yields:
% 45.79/15.20  																																	| (264)  ~ (e1 = e0)
% 45.79/15.20  																																	|
% 45.79/15.20  																																	+-Applying beta-rule and splitting (46), into two cases.
% 45.79/15.20  																																	|-Branch one:
% 45.79/15.20  																																	| (308) all_0_89_89 = e4
% 45.79/15.20  																																	|
% 45.79/15.20  																																		| Combining equations (308,292) yields a new equation:
% 45.79/15.20  																																		| (309) e4 = e2
% 45.79/15.20  																																		|
% 45.79/15.20  																																		| Simplifying 309 yields:
% 45.79/15.20  																																		| (310) e4 = e2
% 45.79/15.20  																																		|
% 45.79/15.20  																																		| Equations (310) can reduce 79 to:
% 45.79/15.20  																																		| (311) $false
% 45.79/15.20  																																		|
% 45.79/15.20  																																		|-The branch is then unsatisfiable
% 45.79/15.20  																																	|-Branch two:
% 45.79/15.20  																																	| (312)  ~ (all_0_89_89 = e4)
% 45.79/15.20  																																	| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.79/15.20  																																	|
% 45.79/15.20  																																		| Equations (292) can reduce 312 to:
% 45.79/15.20  																																		| (528)  ~ (e4 = e2)
% 45.79/15.20  																																		|
% 45.79/15.20  																																		| Simplifying 528 yields:
% 45.79/15.20  																																		| (79)  ~ (e4 = e2)
% 45.79/15.20  																																		|
% 45.79/15.20  																																		+-Applying beta-rule and splitting (4), into two cases.
% 45.79/15.20  																																		|-Branch one:
% 45.79/15.20  																																		| (463) all_0_78_78 = e4
% 45.79/15.20  																																		|
% 45.79/15.20  																																			| Combining equations (400,463) yields a new equation:
% 45.79/15.20  																																			| (310) e4 = e2
% 45.79/15.20  																																			|
% 45.79/15.20  																																			| Equations (310) can reduce 79 to:
% 45.79/15.20  																																			| (311) $false
% 45.79/15.20  																																			|
% 45.79/15.20  																																			|-The branch is then unsatisfiable
% 45.79/15.20  																																		|-Branch two:
% 45.79/15.20  																																		| (640)  ~ (all_0_78_78 = e4)
% 45.79/15.20  																																		| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.79/15.20  																																		|
% 45.79/15.20  																																			+-Applying beta-rule and splitting (171), into two cases.
% 45.79/15.20  																																			|-Branch one:
% 45.79/15.20  																																			| (789) all_0_82_82 = e3
% 45.79/15.20  																																			|
% 45.79/15.20  																																				| Equations (789) can reduce 200 to:
% 45.79/15.20  																																				| (1070)  ~ (all_0_95_95 = e3)
% 45.79/15.20  																																				|
% 45.79/15.20  																																				| Simplifying 1070 yields:
% 45.79/15.20  																																				| (765)  ~ (all_0_95_95 = e3)
% 45.79/15.20  																																				|
% 45.79/15.20  																																				| Equations (789) can reduce 465 to:
% 45.79/15.20  																																				| (783)  ~ (e4 = e3)
% 45.79/15.20  																																				|
% 45.79/15.20  																																				| Simplifying 783 yields:
% 45.79/15.20  																																				| (177)  ~ (e4 = e3)
% 45.79/15.20  																																				|
% 45.79/15.20  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 45.79/15.20  																																				|-Branch one:
% 45.79/15.20  																																				| (469) all_0_82_82 = e4
% 45.79/15.20  																																				|
% 45.79/15.20  																																					| Combining equations (789,469) yields a new equation:
% 45.79/15.20  																																					| (434) e4 = e3
% 45.79/15.20  																																					|
% 45.79/15.20  																																					| Equations (434) can reduce 177 to:
% 45.79/15.20  																																					| (311) $false
% 45.79/15.20  																																					|
% 45.79/15.20  																																					|-The branch is then unsatisfiable
% 45.79/15.20  																																				|-Branch two:
% 45.79/15.20  																																				| (465)  ~ (all_0_82_82 = e4)
% 45.79/15.20  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.79/15.20  																																				|
% 45.79/15.20  																																					+-Applying beta-rule and splitting (119), into two cases.
% 45.79/15.20  																																					|-Branch one:
% 45.79/15.20  																																					| (1343) all_0_92_92 = e2
% 45.79/15.20  																																					|
% 45.79/15.20  																																						| Equations (1343) can reduce 298 to:
% 45.79/15.20  																																						| (311) $false
% 45.79/15.20  																																						|
% 45.79/15.20  																																						|-The branch is then unsatisfiable
% 45.79/15.20  																																					|-Branch two:
% 45.79/15.20  																																					| (298)  ~ (all_0_92_92 = e2)
% 45.79/15.20  																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.79/15.20  																																					|
% 45.79/15.20  																																						+-Applying beta-rule and splitting (270), into two cases.
% 45.79/15.20  																																						|-Branch one:
% 45.79/15.20  																																						| (744) all_0_95_95 = e3
% 45.79/15.20  																																						|
% 45.79/15.20  																																							| Equations (744) can reduce 765 to:
% 45.79/15.20  																																							| (311) $false
% 45.79/15.20  																																							|
% 45.79/15.20  																																							|-The branch is then unsatisfiable
% 45.79/15.20  																																						|-Branch two:
% 45.79/15.20  																																						| (765)  ~ (all_0_95_95 = e3)
% 45.79/15.20  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.79/15.20  																																						|
% 45.79/15.20  																																							+-Applying beta-rule and splitting (3735), into two cases.
% 45.79/15.20  																																							|-Branch one:
% 45.79/15.20  																																							| (836) all_0_92_92 = e1
% 45.79/15.20  																																							|
% 45.79/15.20  																																								| Equations (836) can reduce 840 to:
% 45.79/15.20  																																								| (311) $false
% 45.79/15.20  																																								|
% 45.79/15.20  																																								|-The branch is then unsatisfiable
% 45.79/15.20  																																							|-Branch two:
% 45.79/15.20  																																							| (840)  ~ (all_0_92_92 = e1)
% 45.79/15.20  																																							| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.79/15.20  																																							|
% 45.79/15.20  																																								+-Applying beta-rule and splitting (3629), into two cases.
% 45.79/15.20  																																								|-Branch one:
% 45.79/15.20  																																								| (583) all_0_90_90 = e4
% 45.79/15.20  																																								|
% 45.79/15.20  																																									| Equations (583) can reduce 72 to:
% 45.79/15.20  																																									| (1906)  ~ (all_0_92_92 = e4)
% 45.79/15.20  																																									|
% 45.79/15.20  																																									| Simplifying 1906 yields:
% 45.79/15.20  																																									| (1619)  ~ (all_0_92_92 = e4)
% 45.79/15.20  																																									|
% 45.79/15.20  																																									| Equations (583) can reduce 229 to:
% 45.79/15.20  																																									| (314)  ~ (all_0_95_95 = e4)
% 45.79/15.20  																																									|
% 45.79/15.20  																																									| Simplifying 314 yields:
% 45.79/15.20  																																									| (315)  ~ (all_0_95_95 = e4)
% 45.79/15.20  																																									|
% 45.79/15.20  																																									| Equations (583) can reduce 762 to:
% 45.79/15.20  																																									| (23)  ~ (e4 = e0)
% 45.79/15.20  																																									|
% 45.79/15.20  																																									+-Applying beta-rule and splitting (99), into two cases.
% 45.79/15.20  																																									|-Branch one:
% 45.79/15.20  																																									| (767) all_0_95_95 = e2
% 45.79/15.20  																																									|
% 45.79/15.20  																																										| Equations (767) can reduce 355 to:
% 45.79/15.20  																																										| (311) $false
% 45.79/15.20  																																										|
% 45.79/15.20  																																										|-The branch is then unsatisfiable
% 45.79/15.20  																																									|-Branch two:
% 45.79/15.20  																																									| (355)  ~ (all_0_95_95 = e2)
% 45.79/15.20  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 45.79/15.20  																																									|
% 45.79/15.20  																																										+-Applying beta-rule and splitting (770), into two cases.
% 45.79/15.20  																																										|-Branch one:
% 45.79/15.20  																																										| (785) all_0_95_95 = e1
% 45.79/15.20  																																										|
% 45.79/15.20  																																											| Equations (785) can reduce 107 to:
% 45.79/15.20  																																											| (1803)  ~ (all_0_98_98 = e1)
% 45.79/15.20  																																											|
% 45.79/15.20  																																											| Simplifying 1803 yields:
% 45.79/15.20  																																											| (1804)  ~ (all_0_98_98 = e1)
% 45.79/15.20  																																											|
% 45.79/15.20  																																											| Equations (785) can reduce 315 to:
% 45.79/15.20  																																											| (681)  ~ (e4 = e1)
% 45.79/15.20  																																											|
% 45.79/15.20  																																											| Simplifying 681 yields:
% 45.79/15.20  																																											| (256)  ~ (e4 = e1)
% 45.79/15.20  																																											|
% 45.79/15.20  																																											| Equations (785) can reduce 893 to:
% 45.79/15.20  																																											| (264)  ~ (e1 = e0)
% 45.79/15.20  																																											|
% 45.79/15.20  																																											+-Applying beta-rule and splitting (3800), into two cases.
% 45.79/15.20  																																											|-Branch one:
% 45.79/15.20  																																											| (882) all_0_92_92 = e3
% 45.79/15.20  																																											|
% 45.79/15.20  																																												| Equations (882) can reduce 298 to:
% 45.79/15.20  																																												| (169)  ~ (e3 = e2)
% 45.79/15.20  																																												|
% 45.79/15.20  																																												+-Applying beta-rule and splitting (65), into two cases.
% 45.79/15.20  																																												|-Branch one:
% 45.79/15.20  																																												| (522) all_0_93_93 = e2
% 45.79/15.20  																																												|
% 45.79/15.20  																																													| Equations (522) can reduce 300 to:
% 45.79/15.20  																																													| (311) $false
% 45.79/15.20  																																													|
% 45.79/15.20  																																													|-The branch is then unsatisfiable
% 45.79/15.20  																																												|-Branch two:
% 45.79/15.20  																																												| (300)  ~ (all_0_93_93 = e2)
% 45.79/15.20  																																												| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 45.79/15.20  																																												|
% 45.79/15.20  																																													+-Applying beta-rule and splitting (766), into two cases.
% 45.79/15.20  																																													|-Branch one:
% 45.79/15.20  																																													| (778) all_0_96_96 = e3
% 45.79/15.20  																																													|
% 45.79/15.20  																																														| Equations (778) can reduce 964 to:
% 45.79/15.20  																																														| (311) $false
% 45.79/15.20  																																														|
% 45.79/15.20  																																														|-The branch is then unsatisfiable
% 45.79/15.20  																																													|-Branch two:
% 45.79/15.20  																																													| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.20  																																													| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.79/15.20  																																													|
% 45.79/15.20  																																														+-Applying beta-rule and splitting (565), into two cases.
% 45.79/15.20  																																														|-Branch one:
% 45.79/15.20  																																														| (566) all_0_93_93 = e1
% 45.79/15.20  																																														|
% 45.79/15.20  																																															| Equations (566) can reduce 481 to:
% 45.79/15.20  																																															| (311) $false
% 45.79/15.20  																																															|
% 45.79/15.20  																																															|-The branch is then unsatisfiable
% 45.79/15.20  																																														|-Branch two:
% 45.79/15.20  																																														| (481)  ~ (all_0_93_93 = e1)
% 45.79/15.20  																																														| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 45.79/15.20  																																														|
% 45.79/15.20  																																															+-Applying beta-rule and splitting (965), into two cases.
% 45.79/15.20  																																															|-Branch one:
% 45.79/15.20  																																															| (556) all_0_97_97 = e3
% 45.79/15.20  																																															|
% 45.79/15.20  																																																| Combining equations (556,538) yields a new equation:
% 45.79/15.20  																																																| (547) e3 = e2
% 45.79/15.20  																																																|
% 45.79/15.20  																																																| Simplifying 547 yields:
% 45.79/15.20  																																																| (548) e3 = e2
% 45.79/15.20  																																																|
% 45.79/15.20  																																																| Equations (548) can reduce 169 to:
% 45.79/15.20  																																																| (311) $false
% 45.79/15.20  																																																|
% 45.79/15.20  																																																|-The branch is then unsatisfiable
% 45.79/15.20  																																															|-Branch two:
% 45.79/15.20  																																															| (428)  ~ (all_0_97_97 = e3)
% 45.79/15.21  																																															| (969) all_0_98_98 = e3
% 45.79/15.21  																																															|
% 45.79/15.21  																																																| Equations (969) can reduce 43 to:
% 45.79/15.21  																																																| (964)  ~ (all_0_96_96 = e3)
% 45.79/15.21  																																																|
% 45.79/15.21  																																																| Equations (969) can reduce 1804 to:
% 45.79/15.21  																																																| (20)  ~ (e3 = e1)
% 45.79/15.21  																																																|
% 45.79/15.21  																																																+-Applying beta-rule and splitting (132), into two cases.
% 45.79/15.21  																																																|-Branch one:
% 45.79/15.21  																																																| (750) all_0_90_90 = e1
% 45.79/15.21  																																																|
% 45.79/15.21  																																																	| Combining equations (583,750) yields a new equation:
% 45.79/15.21  																																																	| (813) e4 = e1
% 45.79/15.21  																																																	|
% 45.79/15.21  																																																	| Simplifying 813 yields:
% 45.79/15.21  																																																	| (814) e4 = e1
% 45.79/15.21  																																																	|
% 45.79/15.21  																																																	| Equations (814) can reduce 256 to:
% 45.79/15.21  																																																	| (311) $false
% 45.79/15.21  																																																	|
% 45.79/15.21  																																																	|-The branch is then unsatisfiable
% 45.79/15.21  																																																|-Branch two:
% 45.79/15.21  																																																| (678)  ~ (all_0_90_90 = e1)
% 45.79/15.21  																																																| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 45.79/15.21  																																																|
% 45.79/15.21  																																																	+-Applying beta-rule and splitting (1526), into two cases.
% 45.79/15.21  																																																	|-Branch one:
% 45.79/15.21  																																																	| (801) all_0_91_91 = e1
% 45.79/15.21  																																																	|
% 45.79/15.21  																																																		| Equations (801) can reduce 64 to:
% 45.79/15.21  																																																		| (1671)  ~ (all_0_96_96 = e1)
% 45.79/15.21  																																																		|
% 45.79/15.21  																																																		| Simplifying 1671 yields:
% 45.79/15.21  																																																		| (1479)  ~ (all_0_96_96 = e1)
% 45.79/15.21  																																																		|
% 45.79/15.21  																																																		+-Applying beta-rule and splitting (84), into two cases.
% 45.79/15.21  																																																		|-Branch one:
% 45.79/15.21  																																																		| (1704) all_0_96_96 = e2
% 45.79/15.21  																																																		|
% 45.79/15.21  																																																			| Equations (1704) can reduce 1638 to:
% 45.79/15.21  																																																			| (311) $false
% 45.79/15.21  																																																			|
% 45.79/15.21  																																																			|-The branch is then unsatisfiable
% 45.79/15.21  																																																		|-Branch two:
% 45.79/15.21  																																																		| (1638)  ~ (all_0_96_96 = e2)
% 45.79/15.21  																																																		| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 45.79/15.21  																																																		|
% 45.79/15.21  																																																			+-Applying beta-rule and splitting (102), into two cases.
% 45.79/15.21  																																																			|-Branch one:
% 45.79/15.21  																																																			| (858) all_0_95_95 = e0
% 45.79/15.21  																																																			|
% 45.79/15.21  																																																				| Combining equations (858,785) yields a new equation:
% 45.79/15.21  																																																				| (865) e1 = e0
% 45.79/15.21  																																																				|
% 45.79/15.21  																																																				| Equations (865) can reduce 264 to:
% 45.79/15.21  																																																				| (311) $false
% 45.79/15.21  																																																				|
% 45.79/15.21  																																																				|-The branch is then unsatisfiable
% 45.79/15.21  																																																			|-Branch two:
% 45.79/15.21  																																																			| (893)  ~ (all_0_95_95 = e0)
% 45.79/15.21  																																																			| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.79/15.21  																																																			|
% 45.79/15.21  																																																				| Equations (785) can reduce 893 to:
% 45.79/15.21  																																																				| (264)  ~ (e1 = e0)
% 45.79/15.21  																																																				|
% 45.79/15.21  																																																				+-Applying beta-rule and splitting (289), into two cases.
% 45.79/15.21  																																																				|-Branch one:
% 45.79/15.21  																																																				| (954) all_0_85_85 = e0
% 45.79/15.21  																																																				|
% 45.79/15.21  																																																					| Combining equations (493,954) yields a new equation:
% 45.79/15.21  																																																					| (911) e4 = e0
% 45.79/15.21  																																																					|
% 45.79/15.21  																																																					| Simplifying 911 yields:
% 45.79/15.21  																																																					| (912) e4 = e0
% 45.79/15.21  																																																					|
% 45.83/15.21  																																																					| Equations (912) can reduce 23 to:
% 45.83/15.21  																																																					| (311) $false
% 45.83/15.21  																																																					|
% 45.83/15.21  																																																					|-The branch is then unsatisfiable
% 45.83/15.21  																																																				|-Branch two:
% 45.83/15.21  																																																				| (800)  ~ (all_0_85_85 = e0)
% 45.83/15.21  																																																				| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.83/15.21  																																																				|
% 45.83/15.21  																																																					| Equations (493) can reduce 800 to:
% 45.83/15.21  																																																					| (23)  ~ (e4 = e0)
% 45.83/15.21  																																																					|
% 45.83/15.21  																																																					+-Applying beta-rule and splitting (291), into two cases.
% 45.83/15.21  																																																					|-Branch one:
% 45.83/15.21  																																																					| (758) all_0_90_90 = e0
% 45.83/15.21  																																																					|
% 45.83/15.21  																																																						| Combining equations (758,583) yields a new equation:
% 45.83/15.21  																																																						| (912) e4 = e0
% 45.83/15.21  																																																						|
% 45.83/15.21  																																																						| Equations (912) can reduce 23 to:
% 45.83/15.21  																																																						| (311) $false
% 45.83/15.21  																																																						|
% 45.83/15.21  																																																						|-The branch is then unsatisfiable
% 45.83/15.21  																																																					|-Branch two:
% 45.83/15.21  																																																					| (762)  ~ (all_0_90_90 = e0)
% 45.83/15.21  																																																					| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.83/15.21  																																																					|
% 45.83/15.21  																																																						+-Applying beta-rule and splitting (1707), into two cases.
% 45.83/15.21  																																																						|-Branch one:
% 45.83/15.21  																																																						| (960) all_0_96_96 = e1
% 45.83/15.21  																																																						|
% 45.83/15.21  																																																							| Equations (960) can reduce 1479 to:
% 45.83/15.21  																																																							| (311) $false
% 45.83/15.21  																																																							|
% 45.83/15.21  																																																							|-The branch is then unsatisfiable
% 45.83/15.21  																																																						|-Branch two:
% 45.83/15.21  																																																						| (1479)  ~ (all_0_96_96 = e1)
% 45.83/15.21  																																																						| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 45.83/15.21  																																																						|
% 45.83/15.21  																																																							+-Applying beta-rule and splitting (1455), into two cases.
% 45.83/15.21  																																																							|-Branch one:
% 45.83/15.21  																																																							| (1456) all_0_91_91 = e0
% 45.83/15.21  																																																							|
% 45.83/15.21  																																																								| Combining equations (801,1456) yields a new equation:
% 45.83/15.21  																																																								| (1107) e1 = e0
% 45.83/15.21  																																																								|
% 45.83/15.21  																																																								| Simplifying 1107 yields:
% 45.83/15.21  																																																								| (865) e1 = e0
% 45.83/15.21  																																																								|
% 45.83/15.21  																																																								| Equations (865) can reduce 264 to:
% 45.83/15.21  																																																								| (311) $false
% 45.83/15.21  																																																								|
% 45.83/15.21  																																																								|-The branch is then unsatisfiable
% 45.83/15.21  																																																							|-Branch two:
% 45.83/15.21  																																																							| (1487)  ~ (all_0_91_91 = e0)
% 45.83/15.21  																																																							| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.83/15.21  																																																							|
% 45.83/15.21  																																																								+-Applying beta-rule and splitting (2016), into two cases.
% 45.83/15.21  																																																								|-Branch one:
% 45.83/15.21  																																																								| (778) all_0_96_96 = e3
% 45.83/15.21  																																																								|
% 45.83/15.21  																																																									| Equations (778) can reduce 964 to:
% 45.83/15.21  																																																									| (311) $false
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																									|-The branch is then unsatisfiable
% 45.83/15.21  																																																								|-Branch two:
% 45.83/15.21  																																																								| (964)  ~ (all_0_96_96 = e3)
% 45.83/15.21  																																																								| (1837) all_0_96_96 = e0
% 45.83/15.21  																																																								|
% 45.83/15.21  																																																									| Equations (1837) can reduce 964 to:
% 45.83/15.21  																																																									| (906)  ~ (e3 = e0)
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																									| Simplifying 906 yields:
% 45.83/15.21  																																																									| (50)  ~ (e3 = e0)
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																									| From (1837) and (4960) follows:
% 45.83/15.21  																																																									| (2170) op(e2, e0) = e0
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																									+-Applying beta-rule and splitting (1488), into two cases.
% 45.83/15.21  																																																									|-Branch one:
% 45.83/15.21  																																																									| (942) all_0_92_92 = e0
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																										| Combining equations (942,882) yields a new equation:
% 45.83/15.21  																																																										| (600) e3 = e0
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										| Equations (600) can reduce 50 to:
% 45.83/15.21  																																																										| (311) $false
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										|-The branch is then unsatisfiable
% 45.83/15.21  																																																									|-Branch two:
% 45.83/15.21  																																																									| (946)  ~ (all_0_92_92 = e0)
% 45.83/15.21  																																																									| (604) all_0_93_93 = e0
% 45.83/15.21  																																																									|
% 45.83/15.21  																																																										| Equations (604) can reduce 300 to:
% 45.83/15.21  																																																										| (510)  ~ (e2 = e0)
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										| Simplifying 510 yields:
% 45.83/15.21  																																																										| (76)  ~ (e2 = e0)
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 45.83/15.21  																																																										| (379) e2 = e0
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										| Equations (379) can reduce 76 to:
% 45.83/15.21  																																																										| (311) $false
% 45.83/15.21  																																																										|
% 45.83/15.21  																																																										|-The branch is then unsatisfiable
% 45.83/15.21  																																																	|-Branch two:
% 45.83/15.21  																																																	| (959)  ~ (all_0_91_91 = e1)
% 45.83/15.21  																																																	| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 45.83/15.21  																																																	|
% 45.83/15.21  																																																		+-Applying beta-rule and splitting (1556), into two cases.
% 45.83/15.21  																																																		|-Branch one:
% 45.83/15.21  																																																		| (836) all_0_92_92 = e1
% 45.83/15.21  																																																		|
% 45.83/15.21  																																																			| Combining equations (836,882) yields a new equation:
% 45.83/15.21  																																																			| (772) e3 = e1
% 45.83/15.21  																																																			|
% 45.83/15.21  																																																			| Equations (772) can reduce 20 to:
% 45.83/15.21  																																																			| (311) $false
% 45.83/15.21  																																																			|
% 45.83/15.21  																																																			|-The branch is then unsatisfiable
% 45.83/15.21  																																																		|-Branch two:
% 45.83/15.21  																																																		| (840)  ~ (all_0_92_92 = e1)
% 45.83/15.21  																																																		| (566) all_0_93_93 = e1
% 45.83/15.21  																																																		|
% 45.83/15.21  																																																			| Equations (566) can reduce 481 to:
% 45.83/15.21  																																																			| (311) $false
% 45.83/15.21  																																																			|
% 45.83/15.21  																																																			|-The branch is then unsatisfiable
% 45.83/15.21  																																											|-Branch two:
% 45.83/15.21  																																											| (426)  ~ (all_0_92_92 = e3)
% 45.83/15.21  																																											| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.83/15.21  																																											|
% 45.83/15.21  																																												+-Applying beta-rule and splitting (16683), into two cases.
% 45.83/15.21  																																												|-Branch one:
% 45.83/15.21  																																												| (942) all_0_92_92 = e0
% 45.83/15.21  																																												|
% 45.83/15.21  																																													| Equations (942) can reduce 946 to:
% 45.83/15.21  																																													| (311) $false
% 45.83/15.21  																																													|
% 45.83/15.21  																																													|-The branch is then unsatisfiable
% 45.83/15.21  																																												|-Branch two:
% 45.83/15.21  																																												| (946)  ~ (all_0_92_92 = e0)
% 45.83/15.21  																																												| (442) all_0_92_92 = e4
% 45.83/15.21  																																												|
% 45.83/15.21  																																													| Equations (442) can reduce 1619 to:
% 45.83/15.21  																																													| (311) $false
% 45.83/15.21  																																													|
% 45.83/15.21  																																													|-The branch is then unsatisfiable
% 45.83/15.21  																																										|-Branch two:
% 45.83/15.21  																																										| (680)  ~ (all_0_95_95 = e1)
% 45.83/15.21  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 45.83/15.21  																																										|
% 45.83/15.21  																																											+-Applying beta-rule and splitting (176), into two cases.
% 45.83/15.21  																																											|-Branch one:
% 45.83/15.21  																																											| (785) all_0_95_95 = e1
% 45.83/15.21  																																											|
% 45.83/15.21  																																												| Equations (785) can reduce 680 to:
% 45.83/15.21  																																												| (311) $false
% 45.83/15.21  																																												|
% 45.83/15.21  																																												|-The branch is then unsatisfiable
% 45.83/15.21  																																											|-Branch two:
% 45.83/15.21  																																											| (680)  ~ (all_0_95_95 = e1)
% 45.83/15.21  																																											| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.83/15.21  																																											|
% 45.83/15.21  																																												+-Applying beta-rule and splitting (1718), into two cases.
% 45.83/15.21  																																												|-Branch one:
% 45.83/15.21  																																												| (384) all_0_86_86 = e1
% 45.83/15.21  																																												|
% 45.83/15.21  																																													| Combining equations (384,378) yields a new equation:
% 45.83/15.21  																																													| (1107) e1 = e0
% 45.83/15.21  																																													|
% 45.83/15.21  																																													| Simplifying 1107 yields:
% 45.83/15.21  																																													| (865) e1 = e0
% 45.83/15.21  																																													|
% 45.83/15.21  																																													| Equations (865) can reduce 264 to:
% 45.83/15.21  																																													| (311) $false
% 45.83/15.21  																																													|
% 45.83/15.21  																																													|-The branch is then unsatisfiable
% 45.83/15.21  																																												|-Branch two:
% 45.83/15.21  																																												| (387)  ~ (all_0_86_86 = e1)
% 45.83/15.21  																																												| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.83/15.21  																																												|
% 45.83/15.21  																																													+-Applying beta-rule and splitting (788), into two cases.
% 45.83/15.21  																																													|-Branch one:
% 45.83/15.21  																																													| (960) all_0_96_96 = e1
% 45.83/15.21  																																													|
% 45.83/15.21  																																														| Equations (960) can reduce 279 to:
% 45.83/15.21  																																														| (680)  ~ (all_0_95_95 = e1)
% 45.83/15.21  																																														|
% 45.83/15.21  																																														| Equations (960) can reduce 115 to:
% 45.83/15.21  																																														| (681)  ~ (e4 = e1)
% 45.83/15.21  																																														|
% 45.83/15.21  																																														| Simplifying 681 yields:
% 45.83/15.21  																																														| (256)  ~ (e4 = e1)
% 45.83/15.21  																																														|
% 45.83/15.21  																																														+-Applying beta-rule and splitting (2122), into two cases.
% 45.83/15.21  																																														|-Branch one:
% 45.83/15.21  																																														| (750) all_0_90_90 = e1
% 45.83/15.21  																																														|
% 45.83/15.21  																																															| Combining equations (583,750) yields a new equation:
% 45.83/15.21  																																															| (813) e4 = e1
% 45.83/15.21  																																															|
% 45.83/15.21  																																															| Simplifying 813 yields:
% 45.83/15.21  																																															| (814) e4 = e1
% 45.83/15.21  																																															|
% 45.83/15.21  																																															| Equations (814) can reduce 256 to:
% 45.83/15.21  																																															| (311) $false
% 45.83/15.21  																																															|
% 45.83/15.21  																																															|-The branch is then unsatisfiable
% 45.83/15.21  																																														|-Branch two:
% 45.83/15.21  																																														| (678)  ~ (all_0_90_90 = e1)
% 45.83/15.21  																																														| (785) all_0_95_95 = e1
% 45.83/15.21  																																														|
% 45.83/15.21  																																															| Equations (785) can reduce 680 to:
% 45.83/15.21  																																															| (311) $false
% 45.83/15.21  																																															|
% 45.83/15.21  																																															|-The branch is then unsatisfiable
% 45.83/15.21  																																													|-Branch two:
% 45.83/15.21  																																													| (1479)  ~ (all_0_96_96 = e1)
% 45.83/15.21  																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 45.83/15.21  																																													|
% 45.83/15.21  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 45.83/15.21  																																														|-Branch one:
% 45.83/15.21  																																														| (542) all_0_97_97 = e1
% 45.83/15.21  																																														|
% 45.83/15.21  																																															| Combining equations (542,538) yields a new equation:
% 45.83/15.21  																																															| (385) e2 = e1
% 45.83/15.21  																																															|
% 45.83/15.21  																																															| Equations (385) can reduce 243 to:
% 45.83/15.21  																																															| (311) $false
% 45.83/15.21  																																															|
% 45.83/15.21  																																															|-The branch is then unsatisfiable
% 45.83/15.21  																																														|-Branch two:
% 45.83/15.21  																																														| (486)  ~ (all_0_97_97 = e1)
% 45.83/15.21  																																														| (1543) all_0_98_98 = e1
% 45.83/15.21  																																														|
% 45.83/15.21  																																															| Equations (1543) can reduce 1804 to:
% 45.83/15.21  																																															| (311) $false
% 45.83/15.21  																																															|
% 45.83/15.21  																																															|-The branch is then unsatisfiable
% 45.83/15.21  																																								|-Branch two:
% 45.83/15.21  																																								| (467)  ~ (all_0_90_90 = e4)
% 45.83/15.21  																																								| (894) all_0_95_95 = e4
% 45.83/15.21  																																								|
% 45.83/15.21  																																									| Equations (894) can reduce 315 to:
% 45.83/15.21  																																									| (311) $false
% 45.83/15.21  																																									|
% 45.83/15.21  																																									|-The branch is then unsatisfiable
% 45.83/15.21  																																			|-Branch two:
% 45.83/15.21  																																			| (793)  ~ (all_0_82_82 = e3)
% 45.83/15.21  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 45.83/15.21  																																			|
% 45.83/15.21  																																				+-Applying beta-rule and splitting (207), into two cases.
% 45.83/15.21  																																				|-Branch one:
% 45.83/15.21  																																				| (416) all_0_80_80 = e3
% 45.83/15.21  																																				|
% 45.83/15.21  																																					| Combining equations (433,416) yields a new equation:
% 45.83/15.21  																																					| (790) e4 = e3
% 45.83/15.21  																																					|
% 45.83/15.21  																																					| Simplifying 790 yields:
% 45.83/15.21  																																					| (434) e4 = e3
% 45.83/15.21  																																					|
% 45.83/15.21  																																					| Equations (434) can reduce 177 to:
% 45.83/15.21  																																					| (311) $false
% 45.83/15.21  																																					|
% 45.83/15.21  																																					|-The branch is then unsatisfiable
% 45.83/15.21  																																				|-Branch two:
% 45.83/15.21  																																				| (2347)  ~ (all_0_80_80 = e3)
% 45.83/15.21  																																				| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 45.83/15.21  																																				|
% 45.83/15.21  																																					| Equations (433) can reduce 2347 to:
% 45.83/15.21  																																					| (177)  ~ (e4 = e3)
% 45.83/15.21  																																					|
% 45.83/15.21  																																					+-Applying beta-rule and splitting (2481), into two cases.
% 45.83/15.21  																																					|-Branch one:
% 45.83/15.21  																																					| (1265) all_0_84_84 = e3
% 45.83/15.21  																																					|
% 45.83/15.22  																																						| Combining equations (916,1265) yields a new equation:
% 45.83/15.22  																																						| (600) e3 = e0
% 45.83/15.22  																																						|
% 45.83/15.22  																																						| Equations (600) can reduce 50 to:
% 45.83/15.22  																																						| (311) $false
% 45.83/15.22  																																						|
% 45.83/15.22  																																						|-The branch is then unsatisfiable
% 45.83/15.22  																																					|-Branch two:
% 45.83/15.22  																																					| (422)  ~ (all_0_84_84 = e3)
% 45.83/15.22  																																					| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 45.83/15.22  																																					|
% 45.83/15.22  																																						| Equations (916) can reduce 422 to:
% 45.83/15.22  																																						| (906)  ~ (e3 = e0)
% 45.83/15.22  																																						|
% 45.83/15.22  																																						| Simplifying 906 yields:
% 45.83/15.22  																																						| (50)  ~ (e3 = e0)
% 45.83/15.22  																																						|
% 45.83/15.22  																																						+-Applying beta-rule and splitting (1296), into two cases.
% 45.83/15.22  																																						|-Branch one:
% 45.83/15.22  																																						| (795) all_0_83_83 = e3
% 45.83/15.22  																																						|
% 45.83/15.22  																																							| Combining equations (453,795) yields a new equation:
% 45.83/15.22  																																							| (548) e3 = e2
% 45.83/15.22  																																							|
% 45.83/15.22  																																							| Equations (548) can reduce 169 to:
% 45.83/15.22  																																							| (311) $false
% 45.83/15.22  																																							|
% 45.83/15.22  																																							|-The branch is then unsatisfiable
% 45.83/15.22  																																						|-Branch two:
% 45.83/15.22  																																						| (779)  ~ (all_0_83_83 = e3)
% 45.83/15.22  																																						| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 45.83/15.22  																																						|
% 45.83/15.22  																																							+-Applying beta-rule and splitting (1594), into two cases.
% 45.83/15.22  																																							|-Branch one:
% 45.83/15.22  																																							| (1265) all_0_84_84 = e3
% 45.83/15.22  																																							|
% 45.83/15.22  																																								| Combining equations (916,1265) yields a new equation:
% 45.83/15.22  																																								| (600) e3 = e0
% 45.83/15.22  																																								|
% 45.83/15.22  																																								| Equations (600) can reduce 50 to:
% 45.83/15.22  																																								| (311) $false
% 45.83/15.22  																																								|
% 45.83/15.22  																																								|-The branch is then unsatisfiable
% 45.83/15.22  																																							|-Branch two:
% 45.83/15.22  																																							| (422)  ~ (all_0_84_84 = e3)
% 45.83/15.22  																																							| (804) all_0_85_85 = e3
% 45.83/15.22  																																							|
% 45.83/15.22  																																								| Combining equations (493,804) yields a new equation:
% 45.83/15.22  																																								| (790) e4 = e3
% 45.83/15.22  																																								|
% 45.83/15.22  																																								| Simplifying 790 yields:
% 45.83/15.22  																																								| (434) e4 = e3
% 45.83/15.22  																																								|
% 45.83/15.22  																																								| Equations (434) can reduce 177 to:
% 45.83/15.22  																																								| (311) $false
% 45.83/15.22  																																								|
% 45.83/15.22  																																								|-The branch is then unsatisfiable
% 45.83/15.22  																																|-Branch two:
% 45.83/15.22  																																| (919)  ~ (all_0_84_84 = e0)
% 45.83/15.22  																																| (954) all_0_85_85 = e0
% 45.83/15.22  																																|
% 45.83/15.22  																																	| Combining equations (954,493) yields a new equation:
% 45.83/15.22  																																	| (912) e4 = e0
% 45.83/15.22  																																	|
% 45.83/15.22  																																	| Equations (912) can reduce 23 to:
% 45.83/15.22  																																	| (311) $false
% 45.83/15.22  																																	|
% 45.83/15.22  																																	|-The branch is then unsatisfiable
% 45.83/15.22  																									|-Branch two:
% 45.83/15.22  																									| (436)  ~ (all_0_80_80 = e4)
% 45.83/15.22  																									| (638) all_0_81_81 = e4
% 45.83/15.22  																									|
% 45.83/15.22  																										| Combining equations (477,638) yields a new equation:
% 45.83/15.22  																										| (814) e4 = e1
% 45.83/15.22  																										|
% 45.83/15.22  																										| Equations (814) can reduce 256 to:
% 45.83/15.22  																										| (311) $false
% 45.83/15.22  																										|
% 45.83/15.22  																										|-The branch is then unsatisfiable
% 45.83/15.22  												|-Branch two:
% 45.83/15.22  												| (398)  ~ (all_0_83_83 = e2)
% 45.83/15.22  												| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 45.83/15.22  												|
% 45.83/15.22  													+-Applying beta-rule and splitting (41), into two cases.
% 45.83/15.22  													|-Branch one:
% 45.83/15.22  													| (530) all_0_82_82 = e2
% 45.83/15.22  													|
% 45.83/15.22  														| Equations (530) can reduce 347 to:
% 45.83/15.22  														| (311) $false
% 45.83/15.22  														|
% 45.83/15.22  														|-The branch is then unsatisfiable
% 45.83/15.22  													|-Branch two:
% 45.83/15.22  													| (347)  ~ (all_0_82_82 = e2)
% 45.83/15.22  													| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 45.83/15.22  													|
% 45.83/15.22  														+-Applying beta-rule and splitting (1627), into two cases.
% 45.83/15.22  														|-Branch one:
% 45.83/15.22  														| (453) all_0_83_83 = e2
% 45.83/15.22  														|
% 45.83/15.22  															| Equations (453) can reduce 398 to:
% 45.83/15.22  															| (311) $false
% 45.83/15.22  															|
% 45.83/15.22  															|-The branch is then unsatisfiable
% 45.83/15.22  														|-Branch two:
% 45.83/15.22  														| (398)  ~ (all_0_83_83 = e2)
% 45.83/15.22  														| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 45.83/15.22  														|
% 45.83/15.22  															+-Applying beta-rule and splitting (8061), into two cases.
% 45.83/15.22  															|-Branch one:
% 45.83/15.22  															| (1723) all_0_91_91 = e2
% 45.83/15.22  															|
% 45.83/15.22  																| Equations (1723) can reduce 296 to:
% 45.83/15.22  																| (311) $false
% 45.83/15.22  																|
% 45.83/15.22  																|-The branch is then unsatisfiable
% 45.83/15.22  															|-Branch two:
% 45.83/15.22  															| (296)  ~ (all_0_91_91 = e2)
% 45.83/15.22  															| (1704) all_0_96_96 = e2
% 45.83/15.22  															|
% 45.83/15.22  																| Equations (1704) can reduce 214 to:
% 45.83/15.22  																| (1622)  ~ (all_0_79_79 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Equations (1704) can reduce 211 to:
% 45.83/15.22  																| (398)  ~ (all_0_83_83 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Equations (1704) can reduce 64 to:
% 45.83/15.22  																| (296)  ~ (all_0_91_91 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Equations (1704) can reduce 279 to:
% 45.83/15.22  																| (355)  ~ (all_0_95_95 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Equations (1704) can reduce 43 to:
% 45.83/15.22  																| (1348)  ~ (all_0_98_98 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Simplifying 1348 yields:
% 45.83/15.22  																| (1349)  ~ (all_0_98_98 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Equations (1704) can reduce 115 to:
% 45.83/15.22  																| (528)  ~ (e4 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| Simplifying 528 yields:
% 45.83/15.22  																| (79)  ~ (e4 = e2)
% 45.83/15.22  																|
% 45.83/15.22  																| From (1704) and (58) follows:
% 45.83/15.22  																| (8073) op(e2, e2) = all_0_35_35
% 45.83/15.22  																|
% 45.83/15.22  																| From (1704) and (88) follows:
% 45.83/15.22  																| (8074) op(e2, e0) = all_0_34_34
% 45.83/15.22  																|
% 45.83/15.22  																| From (1704) and (212) follows:
% 45.83/15.22  																| (8075) op(e2, e2) = all_0_58_58
% 45.83/15.22  																|
% 45.83/15.22  																+-Applying beta-rule and splitting (533), into two cases.
% 45.83/15.22  																|-Branch one:
% 45.83/15.22  																| (453) all_0_83_83 = e2
% 45.83/15.22  																|
% 45.83/15.22  																	| Equations (453) can reduce 398 to:
% 45.83/15.22  																	| (311) $false
% 45.83/15.22  																	|
% 45.83/15.22  																	|-The branch is then unsatisfiable
% 45.83/15.22  																|-Branch two:
% 45.83/15.22  																| (398)  ~ (all_0_83_83 = e2)
% 45.83/15.22  																| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 45.83/15.22  																|
% 45.83/15.22  																	+-Applying beta-rule and splitting (537), into two cases.
% 45.83/15.22  																	|-Branch one:
% 45.83/15.22  																	| (552) all_0_84_84 = e2
% 45.83/15.22  																	|
% 45.83/15.22  																		| Equations (552) can reduce 273 to:
% 45.83/15.22  																		| (394)  ~ (all_0_80_80 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 7 to:
% 45.83/15.22  																		| (347)  ~ (all_0_82_82 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 223 to:
% 45.83/15.22  																		| (398)  ~ (all_0_83_83 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 154 to:
% 45.83/15.22  																		| (691)  ~ (all_0_85_85 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Simplifying 691 yields:
% 45.83/15.22  																		| (515)  ~ (all_0_85_85 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 87 to:
% 45.83/15.22  																		| (297)  ~ (all_0_92_92 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Simplifying 297 yields:
% 45.83/15.22  																		| (298)  ~ (all_0_92_92 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 195 to:
% 45.83/15.22  																		| (2376)  ~ (all_0_97_97 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Simplifying 2376 yields:
% 45.83/15.22  																		| (527)  ~ (all_0_97_97 = e2)
% 45.83/15.22  																		|
% 45.83/15.22  																		| Equations (552) can reduce 259 to:
% 45.83/15.22  																		| (243)  ~ (e2 = e1)
% 45.83/15.22  																		|
% 45.83/15.22  																		| From (552) and (54) follows:
% 45.83/15.22  																		| (22963) op(e2, e3) = all_0_11_11
% 45.83/15.22  																		|
% 45.83/15.22  																		| From (552) and (194) follows:
% 45.83/15.22  																		| (22964) op(e2, e1) = all_0_12_12
% 45.83/15.22  																		|
% 45.83/15.22  																		| From (552) and (232) follows:
% 45.83/15.22  																		| (22966) op(e3, e1) = e2
% 45.83/15.22  																		|
% 45.83/15.22  																		| From (552) and (122) follows:
% 45.83/15.22  																		| (555) op(e1, e2) = all_0_62_62
% 45.83/15.22  																		|
% 45.83/15.22  																		| Instantiating formula (262) with e2, e3, all_0_11_11, e0 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = e0, yields:
% 45.83/15.22  																		| (29470) all_0_11_11 = e0
% 45.83/15.22  																		|
% 45.83/15.22  																		| Instantiating formula (262) with e2, e2, all_0_35_35, e4 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = e4, yields:
% 45.83/15.23  																		| (8078) all_0_35_35 = e4
% 45.83/15.23  																		|
% 45.83/15.23  																		| Instantiating formula (262) with e2, e2, all_0_58_58, all_0_35_35 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = all_0_58_58, yields:
% 45.83/15.23  																		| (8079) all_0_35_35 = all_0_58_58
% 45.83/15.23  																		|
% 45.83/15.23  																		| Instantiating formula (262) with e2, e1, all_0_12_12, e1 and discharging atoms op(e2, e1) = all_0_12_12, op(e2, e1) = e1, yields:
% 45.83/15.23  																		| (29473) all_0_12_12 = e1
% 45.83/15.23  																		|
% 45.83/15.23  																		| Instantiating formula (262) with e2, e0, all_0_34_34, e2 and discharging atoms op(e2, e0) = all_0_34_34, op(e2, e0) = e2, yields:
% 45.83/15.23  																		| (3939) all_0_34_34 = e2
% 45.83/15.23  																		|
% 45.83/15.23  																		| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_91_91 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = all_0_91_91, yields:
% 45.83/15.23  																		| (574) all_0_62_62 = all_0_91_91
% 45.83/15.23  																		|
% 45.83/15.23  																		| Combining equations (8078,8079) yields a new equation:
% 45.83/15.23  																		| (8082) all_0_58_58 = e4
% 45.83/15.23  																		|
% 45.83/15.23  																		| From (29470) and (22963) follows:
% 45.83/15.23  																		| (5343) op(e2, e3) = e0
% 45.83/15.23  																		|
% 45.83/15.23  																		| From (8082) and (8075) follows:
% 45.83/15.23  																		| (6) op(e2, e2) = e4
% 45.83/15.23  																		|
% 45.83/15.23  																		| From (29473) and (22964) follows:
% 45.83/15.23  																		| (13258) op(e2, e1) = e1
% 45.83/15.23  																		|
% 45.83/15.23  																		| From (3939) and (8074) follows:
% 45.83/15.23  																		| (18818) op(e2, e0) = e2
% 45.83/15.23  																		|
% 45.83/15.23  																		+-Applying beta-rule and splitting (219), into two cases.
% 45.83/15.23  																		|-Branch one:
% 45.83/15.23  																		| (798) all_0_83_83 = e0
% 45.83/15.23  																		|
% 45.83/15.23  																			| Combining equations (798,9985) yields a new equation:
% 45.83/15.23  																			| (22968) all_0_43_43 = e0
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 272 to:
% 45.83/15.23  																			| (9)  ~ (all_0_79_79 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 116 to:
% 45.83/15.23  																			| (914)  ~ (all_0_82_82 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 226 to:
% 45.83/15.23  																			| (799)  ~ (all_0_85_85 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Simplifying 799 yields:
% 45.83/15.23  																			| (800)  ~ (all_0_85_85 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 146 to:
% 45.83/15.23  																			| (1830)  ~ (all_0_91_91 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Simplifying 1830 yields:
% 45.83/15.23  																			| (1487)  ~ (all_0_91_91 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 155 to:
% 45.83/15.23  																			| (904)  ~ (e4 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Simplifying 904 yields:
% 45.83/15.23  																			| (23)  ~ (e4 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Equations (798) can reduce 398 to:
% 45.83/15.23  																			| (510)  ~ (e2 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| Simplifying 510 yields:
% 45.83/15.23  																			| (76)  ~ (e2 = e0)
% 45.83/15.23  																			|
% 45.83/15.23  																			| From (798) and (163) follows:
% 45.83/15.23  																			| (1036) op(e3, e0) = all_0_55_55
% 45.83/15.23  																			|
% 45.83/15.23  																			| From (798) and (206) follows:
% 45.83/15.23  																			| (8092) op(e2, e0) = all_0_54_54
% 45.83/15.23  																			|
% 45.83/15.23  																			| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_85_85 and discharging atoms op(e3, e0) = all_0_55_55, op(e3, e0) = all_0_85_85, yields:
% 45.83/15.23  																			| (17466) all_0_55_55 = all_0_85_85
% 45.83/15.23  																			|
% 45.83/15.23  																			| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 45.83/15.23  																			| (8281) all_0_54_54 = e2
% 45.83/15.23  																			|
% 45.83/15.23  																			| From (17466) and (1036) follows:
% 45.83/15.23  																			| (8) op(e3, e0) = all_0_85_85
% 45.83/15.23  																			|
% 45.83/15.23  																			+-Applying beta-rule and splitting (127), into two cases.
% 45.83/15.23  																			|-Branch one:
% 45.83/15.23  																			| (457) all_0_79_79 = e1
% 45.83/15.23  																			|
% 45.83/15.23  																				| Equations (457) can reduce 17 to:
% 45.83/15.23  																				| (1669)  ~ (all_0_91_91 = e1)
% 45.83/15.23  																				|
% 45.83/15.23  																				| Simplifying 1669 yields:
% 45.83/15.23  																				| (959)  ~ (all_0_91_91 = e1)
% 45.83/15.23  																				|
% 45.83/15.23  																				| Equations (457) can reduce 235 to:
% 45.83/15.23  																				| (681)  ~ (e4 = e1)
% 45.83/15.23  																				|
% 45.83/15.23  																				| Simplifying 681 yields:
% 45.83/15.23  																				| (256)  ~ (e4 = e1)
% 45.83/15.23  																				|
% 45.83/15.23  																				| Equations (457) can reduce 9 to:
% 45.83/15.23  																				| (264)  ~ (e1 = e0)
% 45.83/15.23  																				|
% 45.83/15.23  																				| From (457) and (184) follows:
% 45.83/15.23  																				| (1679) op(e2, e1) = all_0_52_52
% 45.83/15.23  																				|
% 45.83/15.23  																				+-Applying beta-rule and splitting (284), into two cases.
% 45.83/15.23  																				|-Branch one:
% 45.83/15.23  																				| (1723) all_0_91_91 = e2
% 45.83/15.23  																				|
% 45.83/15.24  																					| Equations (1723) can reduce 296 to:
% 45.83/15.24  																					| (311) $false
% 45.83/15.24  																					|
% 45.83/15.24  																					|-The branch is then unsatisfiable
% 45.83/15.24  																				|-Branch two:
% 45.83/15.24  																				| (296)  ~ (all_0_91_91 = e2)
% 45.83/15.24  																				| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 45.83/15.24  																				|
% 45.83/15.24  																					+-Applying beta-rule and splitting (1726), into two cases.
% 45.83/15.24  																					|-Branch one:
% 45.83/15.24  																					| (801) all_0_91_91 = e1
% 45.83/15.24  																					|
% 45.83/15.24  																						| Equations (801) can reduce 959 to:
% 45.83/15.24  																						| (311) $false
% 45.83/15.24  																						|
% 45.83/15.24  																						|-The branch is then unsatisfiable
% 45.83/15.24  																					|-Branch two:
% 45.83/15.24  																					| (959)  ~ (all_0_91_91 = e1)
% 45.83/15.24  																					| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 45.83/15.24  																					|
% 45.83/15.24  																						+-Applying beta-rule and splitting (1880), into two cases.
% 45.83/15.24  																						|-Branch one:
% 45.83/15.24  																						| (588) all_0_91_91 = e3
% 45.83/15.24  																						|
% 45.83/15.24  																							| Equations (588) can reduce 296 to:
% 45.83/15.24  																							| (169)  ~ (e3 = e2)
% 45.83/15.24  																							|
% 45.83/15.24  																							| From (588) and (222) follows:
% 45.83/15.24  																							| (8109) op(e2, e3) = all_0_56_56
% 45.83/15.24  																							|
% 45.83/15.24  																							| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 45.83/15.24  																							| (10959) all_0_56_56 = e0
% 45.83/15.24  																							|
% 45.83/15.24  																							| Instantiating formula (262) with e2, e1, all_0_52_52, e1 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e1, yields:
% 45.83/15.24  																							| (15841) all_0_52_52 = e1
% 45.83/15.24  																							|
% 45.83/15.24  																							+-Applying beta-rule and splitting (33), into two cases.
% 45.83/15.24  																							|-Branch one:
% 45.83/15.24  																							| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.83/15.24  																							|
% 45.83/15.24  																								+-Applying beta-rule and splitting (1686), into two cases.
% 45.83/15.24  																								|-Branch one:
% 45.83/15.24  																								| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.83/15.24  																								|
% 45.83/15.24  																									+-Applying beta-rule and splitting (1687), into two cases.
% 45.83/15.24  																									|-Branch one:
% 45.83/15.24  																									| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.83/15.24  																									|
% 45.83/15.24  																										| Applying alpha-rule on (1688) yields:
% 45.83/15.24  																										| (1689) all_0_52_52 = e4
% 45.83/15.24  																										| (1690)  ~ (all_0_53_53 = e2)
% 45.83/15.24  																										|
% 45.83/15.24  																										| Combining equations (15841,1689) yields a new equation:
% 45.83/15.24  																										| (814) e4 = e1
% 45.83/15.24  																										|
% 45.83/15.24  																										| Equations (814) can reduce 256 to:
% 45.83/15.24  																										| (311) $false
% 45.83/15.24  																										|
% 45.83/15.24  																										|-The branch is then unsatisfiable
% 45.83/15.24  																									|-Branch two:
% 45.83/15.24  																									| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.83/15.24  																									|
% 45.83/15.24  																										| Applying alpha-rule on (1694) yields:
% 45.83/15.24  																										| (1695) all_0_54_54 = e3
% 45.83/15.24  																										| (1696)  ~ (all_0_55_55 = e2)
% 45.83/15.24  																										|
% 45.83/15.24  																										| Combining equations (8281,1695) yields a new equation:
% 45.83/15.24  																										| (548) e3 = e2
% 45.83/15.24  																										|
% 45.83/15.24  																										| Equations (548) can reduce 169 to:
% 45.83/15.24  																										| (311) $false
% 45.83/15.24  																										|
% 45.83/15.24  																										|-The branch is then unsatisfiable
% 45.83/15.24  																								|-Branch two:
% 45.83/15.24  																								| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.83/15.24  																								|
% 45.83/15.24  																									| Applying alpha-rule on (1700) yields:
% 45.83/15.24  																									| (1701) all_0_56_56 = e1
% 45.83/15.24  																									| (1702)  ~ (all_0_57_57 = e2)
% 45.83/15.24  																									|
% 45.83/15.24  																									| Combining equations (10959,1701) yields a new equation:
% 45.83/15.24  																									| (865) e1 = e0
% 45.83/15.24  																									|
% 45.83/15.24  																									| Equations (865) can reduce 264 to:
% 45.83/15.24  																									| (311) $false
% 45.83/15.24  																									|
% 45.83/15.24  																									|-The branch is then unsatisfiable
% 45.83/15.24  																							|-Branch two:
% 45.83/15.24  																							| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.83/15.24  																							|
% 45.87/15.24  																								| Applying alpha-rule on (4957) yields:
% 45.87/15.24  																								| (4958) all_0_58_58 = e0
% 45.87/15.24  																								| (4959)  ~ (all_0_59_59 = e2)
% 45.87/15.24  																								|
% 45.87/15.24  																								| Combining equations (8082,4958) yields a new equation:
% 45.87/15.24  																								| (911) e4 = e0
% 45.87/15.24  																								|
% 45.87/15.24  																								| Simplifying 911 yields:
% 45.87/15.24  																								| (912) e4 = e0
% 45.87/15.24  																								|
% 45.87/15.24  																								| Equations (912) can reduce 23 to:
% 45.87/15.24  																								| (311) $false
% 45.87/15.24  																								|
% 45.87/15.24  																								|-The branch is then unsatisfiable
% 45.87/15.24  																						|-Branch two:
% 45.87/15.24  																						| (571)  ~ (all_0_91_91 = e3)
% 45.87/15.24  																						| (1456) all_0_91_91 = e0
% 45.87/15.24  																						|
% 45.87/15.24  																							| Equations (1456) can reduce 1487 to:
% 45.87/15.24  																							| (311) $false
% 45.87/15.24  																							|
% 45.87/15.24  																							|-The branch is then unsatisfiable
% 45.87/15.24  																			|-Branch two:
% 45.87/15.24  																			| (461)  ~ (all_0_79_79 = e1)
% 45.87/15.24  																			| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 45.87/15.24  																			|
% 45.87/15.24  																				+-Applying beta-rule and splitting (1623), into two cases.
% 45.87/15.24  																				|-Branch one:
% 45.87/15.24  																				| (457) all_0_79_79 = e1
% 45.87/15.24  																				|
% 45.87/15.24  																					| Equations (457) can reduce 461 to:
% 45.87/15.24  																					| (311) $false
% 45.87/15.24  																					|
% 45.87/15.24  																					|-The branch is then unsatisfiable
% 45.87/15.24  																				|-Branch two:
% 45.87/15.24  																				| (461)  ~ (all_0_79_79 = e1)
% 45.87/15.24  																				| (1708) all_0_79_79 = e3
% 45.87/15.24  																				|
% 45.87/15.24  																					| Equations (1708) can reduce 15 to:
% 45.87/15.24  																					| (419)  ~ (all_0_81_81 = e3)
% 45.87/15.24  																					|
% 45.87/15.24  																					| Simplifying 419 yields:
% 45.87/15.24  																					| (420)  ~ (all_0_81_81 = e3)
% 45.87/15.24  																					|
% 45.87/15.24  																					| Equations (1708) can reduce 17 to:
% 45.87/15.24  																					| (1298)  ~ (all_0_91_91 = e3)
% 45.87/15.24  																					|
% 45.87/15.24  																					| Simplifying 1298 yields:
% 45.87/15.24  																					| (571)  ~ (all_0_91_91 = e3)
% 45.87/15.24  																					|
% 45.87/15.24  																					| From (1708) and (190) follows:
% 45.87/15.24  																					| (29554) op(e4, e3) = all_0_53_53
% 45.87/15.24  																					|
% 45.87/15.24  																					| From (1708) and (184) follows:
% 45.87/15.24  																					| (11003) op(e2, e3) = all_0_52_52
% 45.87/15.24  																					|
% 45.87/15.24  																					+-Applying beta-rule and splitting (462), into two cases.
% 45.87/15.24  																					|-Branch one:
% 45.87/15.24  																					| (801) all_0_91_91 = e1
% 45.87/15.24  																					|
% 45.87/15.24  																						| Combining equations (801,574) yields a new equation:
% 45.87/15.24  																						| (1413) all_0_62_62 = e1
% 45.87/15.24  																						|
% 45.87/15.24  																						| Equations (801) can reduce 103 to:
% 45.87/15.24  																						| (678)  ~ (all_0_90_90 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Equations (801) can reduce 265 to:
% 45.87/15.24  																						| (2131)  ~ (all_0_92_92 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Simplifying 2131 yields:
% 45.87/15.24  																						| (840)  ~ (all_0_92_92 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Equations (801) can reduce 571 to:
% 45.87/15.24  																						| (683)  ~ (e3 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Simplifying 683 yields:
% 45.87/15.24  																						| (20)  ~ (e3 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Equations (801) can reduce 296 to:
% 45.87/15.24  																						| (487)  ~ (e2 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Simplifying 487 yields:
% 45.87/15.24  																						| (243)  ~ (e2 = e1)
% 45.87/15.24  																						|
% 45.87/15.24  																						| Equations (801) can reduce 1487 to:
% 45.87/15.24  																						| (264)  ~ (e1 = e0)
% 45.87/15.24  																						|
% 45.87/15.24  																						| From (801) and (224) follows:
% 45.87/15.24  																						| (18981) op(e1, e1) = all_0_25_25
% 45.87/15.24  																						|
% 45.87/15.24  																						| From (801) and (51) follows:
% 45.87/15.24  																						| (10725) op(e1, e1) = all_0_57_57
% 45.87/15.24  																						|
% 45.87/15.24  																						+-Applying beta-rule and splitting (188), into two cases.
% 45.87/15.24  																						|-Branch one:
% 45.87/15.24  																						| (676) all_0_78_78 = e1
% 45.87/15.24  																						|
% 45.87/15.24  																							| Combining equations (400,676) yields a new equation:
% 45.87/15.24  																							| (408) e2 = e1
% 45.87/15.24  																							|
% 45.87/15.24  																							| Simplifying 408 yields:
% 45.87/15.24  																							| (385) e2 = e1
% 45.87/15.24  																							|
% 45.87/15.24  																							| Equations (385) can reduce 243 to:
% 45.87/15.24  																							| (311) $false
% 45.87/15.24  																							|
% 45.87/15.24  																							|-The branch is then unsatisfiable
% 45.87/15.24  																						|-Branch two:
% 45.87/15.24  																						| (1601)  ~ (all_0_78_78 = e1)
% 45.87/15.24  																						| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.87/15.24  																						|
% 45.87/15.24  																							+-Applying beta-rule and splitting (1718), into two cases.
% 45.87/15.24  																							|-Branch one:
% 45.87/15.24  																							| (384) all_0_86_86 = e1
% 45.87/15.24  																							|
% 45.87/15.24  																								| Combining equations (384,378) yields a new equation:
% 45.87/15.24  																								| (1107) e1 = e0
% 45.87/15.24  																								|
% 45.87/15.24  																								| Simplifying 1107 yields:
% 45.87/15.24  																								| (865) e1 = e0
% 45.87/15.24  																								|
% 45.87/15.24  																								| Equations (865) can reduce 264 to:
% 45.87/15.24  																								| (311) $false
% 45.87/15.24  																								|
% 45.87/15.24  																								|-The branch is then unsatisfiable
% 45.87/15.24  																							|-Branch two:
% 45.87/15.24  																							| (387)  ~ (all_0_86_86 = e1)
% 45.87/15.24  																							| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.87/15.24  																							|
% 45.87/15.24  																								+-Applying beta-rule and splitting (2122), into two cases.
% 45.87/15.24  																								|-Branch one:
% 45.87/15.24  																								| (750) all_0_90_90 = e1
% 45.87/15.24  																								|
% 45.87/15.24  																									| Equations (750) can reduce 678 to:
% 45.87/15.24  																									| (311) $false
% 45.87/15.24  																									|
% 45.87/15.24  																									|-The branch is then unsatisfiable
% 45.87/15.24  																								|-Branch two:
% 45.87/15.24  																								| (678)  ~ (all_0_90_90 = e1)
% 45.87/15.24  																								| (785) all_0_95_95 = e1
% 45.87/15.24  																								|
% 45.87/15.24  																									| Equations (785) can reduce 200 to:
% 45.87/15.24  																									| (198)  ~ (all_0_82_82 = e1)
% 45.87/15.24  																									|
% 45.87/15.25  																									| Equations (785) can reduce 229 to:
% 45.87/15.25  																									| (678)  ~ (all_0_90_90 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Equations (785) can reduce 105 to:
% 45.87/15.25  																									| (485)  ~ (all_0_97_97 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Simplifying 485 yields:
% 45.87/15.25  																									| (486)  ~ (all_0_97_97 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Equations (785) can reduce 315 to:
% 45.87/15.25  																									| (681)  ~ (e4 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Simplifying 681 yields:
% 45.87/15.25  																									| (256)  ~ (e4 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Equations (785) can reduce 355 to:
% 45.87/15.25  																									| (487)  ~ (e2 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| Simplifying 487 yields:
% 45.87/15.25  																									| (243)  ~ (e2 = e1)
% 45.87/15.25  																									|
% 45.87/15.25  																									| From (785) and (77) follows:
% 45.87/15.25  																									| (29592) op(e1, e3) = all_0_33_33
% 45.87/15.25  																									|
% 45.87/15.25  																									| From (785) and (121) follows:
% 45.87/15.25  																									| (29593) op(e3, e1) = all_0_50_50
% 45.87/15.25  																									|
% 45.87/15.25  																									+-Applying beta-rule and splitting (129), into two cases.
% 45.87/15.25  																									|-Branch one:
% 45.87/15.25  																									| (676) all_0_78_78 = e1
% 45.87/15.25  																									|
% 45.87/15.25  																										| Combining equations (400,676) yields a new equation:
% 45.87/15.25  																										| (408) e2 = e1
% 45.87/15.25  																										|
% 45.87/15.25  																										| Simplifying 408 yields:
% 45.87/15.25  																										| (385) e2 = e1
% 45.87/15.25  																										|
% 45.87/15.25  																										| Equations (385) can reduce 243 to:
% 45.87/15.25  																										| (311) $false
% 45.87/15.25  																										|
% 45.87/15.25  																										|-The branch is then unsatisfiable
% 45.87/15.25  																									|-Branch two:
% 45.87/15.25  																									| (1601)  ~ (all_0_78_78 = e1)
% 45.87/15.25  																									| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 45.87/15.25  																									|
% 45.87/15.25  																										+-Applying beta-rule and splitting (1602), into two cases.
% 45.87/15.25  																										|-Branch one:
% 45.87/15.25  																										| (457) all_0_79_79 = e1
% 45.87/15.25  																										|
% 45.87/15.25  																											| Combining equations (1708,457) yields a new equation:
% 45.87/15.25  																											| (825) e3 = e1
% 45.87/15.25  																											|
% 45.87/15.25  																											| Simplifying 825 yields:
% 45.87/15.25  																											| (772) e3 = e1
% 45.87/15.25  																											|
% 45.87/15.25  																											| Equations (772) can reduce 20 to:
% 45.87/15.25  																											| (311) $false
% 45.87/15.25  																											|
% 45.87/15.25  																											|-The branch is then unsatisfiable
% 45.87/15.25  																										|-Branch two:
% 45.87/15.25  																										| (461)  ~ (all_0_79_79 = e1)
% 45.87/15.25  																										| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 45.87/15.25  																										|
% 45.87/15.25  																											+-Applying beta-rule and splitting (8180), into two cases.
% 45.87/15.25  																											|-Branch one:
% 45.87/15.25  																											| (824) all_0_80_80 = e1
% 45.87/15.25  																											|
% 45.87/15.25  																												| Equations (824) can reduce 828 to:
% 45.87/15.25  																												| (311) $false
% 45.87/15.25  																												|
% 45.87/15.25  																												|-The branch is then unsatisfiable
% 45.87/15.25  																											|-Branch two:
% 45.87/15.25  																											| (828)  ~ (all_0_80_80 = e1)
% 45.87/15.25  																											| (477) all_0_81_81 = e1
% 45.87/15.25  																											|
% 45.87/15.25  																												| Equations (477) can reduce 118 to:
% 45.87/15.25  																												| (24696)  ~ (all_0_85_85 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Simplifying 24696 yields:
% 45.87/15.25  																												| (128)  ~ (all_0_85_85 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Equations (477) can reduce 5 to:
% 45.87/15.25  																												| (1803)  ~ (all_0_98_98 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Simplifying 1803 yields:
% 45.87/15.25  																												| (1804)  ~ (all_0_98_98 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Equations (477) can reduce 420 to:
% 45.87/15.25  																												| (683)  ~ (e3 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Simplifying 683 yields:
% 45.87/15.25  																												| (20)  ~ (e3 = e1)
% 45.87/15.25  																												|
% 45.87/15.25  																												| Equations (477) can reduce 257 to:
% 45.87/15.25  																												| (264)  ~ (e1 = e0)
% 45.87/15.25  																												|
% 45.87/15.25  																												| From (477) and (19) follows:
% 45.87/15.25  																												| (29617) op(e1, e4) = all_0_6_6
% 45.87/15.25  																												|
% 45.87/15.25  																												| From (477) and (156) follows:
% 45.87/15.25  																												| (29618) op(e4, e0) = e1
% 45.87/15.25  																												|
% 45.87/15.25  																												+-Applying beta-rule and splitting (56), into two cases.
% 45.87/15.25  																												|-Branch one:
% 45.87/15.25  																												| (463) all_0_78_78 = e4
% 45.87/15.25  																												|
% 45.87/15.25  																													| Combining equations (400,463) yields a new equation:
% 45.87/15.25  																													| (310) e4 = e2
% 45.87/15.25  																													|
% 45.87/15.25  																													| Equations (310) can reduce 79 to:
% 45.87/15.25  																													| (311) $false
% 45.87/15.25  																													|
% 45.87/15.25  																													|-The branch is then unsatisfiable
% 45.87/15.25  																												|-Branch two:
% 45.87/15.25  																												| (640)  ~ (all_0_78_78 = e4)
% 45.87/15.25  																												| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 45.87/15.25  																												|
% 45.87/15.25  																													+-Applying beta-rule and splitting (641), into two cases.
% 45.87/15.25  																													|-Branch one:
% 45.87/15.25  																													| (433) all_0_80_80 = e4
% 45.87/15.25  																													|
% 45.87/15.25  																														| Equations (433) can reduce 49 to:
% 45.87/15.25  																														| (1906)  ~ (all_0_92_92 = e4)
% 45.87/15.25  																														|
% 45.87/15.25  																														| Simplifying 1906 yields:
% 45.87/15.25  																														| (1619)  ~ (all_0_92_92 = e4)
% 45.87/15.25  																														|
% 45.87/15.25  																														| Equations (433) can reduce 394 to:
% 45.87/15.25  																														| (79)  ~ (e4 = e2)
% 45.87/15.25  																														|
% 45.87/15.25  																														| Equations (433) can reduce 166 to:
% 45.87/15.25  																														| (23)  ~ (e4 = e0)
% 45.87/15.25  																														|
% 45.87/15.25  																														| From (433) and (117) follows:
% 45.87/15.25  																														| (29629) op(e4, e1) = all_0_5_5
% 45.87/15.25  																														|
% 45.87/15.25  																														| From (433) and (281) follows:
% 45.87/15.25  																														| (29630) op(e4, e1) = e4
% 45.87/15.25  																														|
% 45.87/15.25  																														| From (433) and (233) follows:
% 45.87/15.25  																														| (4027) op(e1, e4) = all_0_60_60
% 45.87/15.25  																														|
% 45.87/15.25  																														| Instantiating formula (262) with e4, e3, all_0_53_53, e2 and discharging atoms op(e4, e3) = all_0_53_53, op(e4, e3) = e2, yields:
% 45.87/15.25  																														| (24571) all_0_53_53 = e2
% 45.87/15.25  																														|
% 45.87/15.25  																														| Instantiating formula (262) with e4, e1, e4, all_0_5_5 and discharging atoms op(e4, e1) = all_0_5_5, op(e4, e1) = e4, yields:
% 45.87/15.26  																														| (23233) all_0_5_5 = e4
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e3, e1, all_0_50_50, e2 and discharging atoms op(e3, e1) = all_0_50_50, op(e3, e1) = e2, yields:
% 45.87/15.26  																														| (13437) all_0_50_50 = e2
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 45.87/15.26  																														| (11070) all_0_52_52 = e0
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e1, e4, all_0_6_6, e2 and discharging atoms op(e1, e4) = all_0_6_6, op(e1, e4) = e2, yields:
% 45.87/15.26  																														| (29636) all_0_6_6 = e2
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e1, e4, all_0_60_60, all_0_6_6 and discharging atoms op(e1, e4) = all_0_6_6, op(e1, e4) = all_0_60_60, yields:
% 45.87/15.26  																														| (29637) all_0_6_6 = all_0_60_60
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e1, e3, all_0_33_33, all_0_90_90 and discharging atoms op(e1, e3) = all_0_33_33, op(e1, e3) = all_0_90_90, yields:
% 45.87/15.26  																														| (29638) all_0_33_33 = all_0_90_90
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e1, e1, all_0_25_25, all_0_92_92 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = all_0_92_92, yields:
% 45.87/15.26  																														| (29639) all_0_25_25 = all_0_92_92
% 45.87/15.26  																														|
% 45.87/15.26  																														| Instantiating formula (262) with e1, e1, all_0_57_57, all_0_25_25 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = all_0_57_57, yields:
% 45.87/15.26  																														| (29640) all_0_25_25 = all_0_57_57
% 45.87/15.26  																														|
% 45.87/15.26  																														| Combining equations (29636,29637) yields a new equation:
% 45.87/15.26  																														| (4076) all_0_60_60 = e2
% 45.87/15.26  																														|
% 45.87/15.26  																														| Combining equations (29640,29639) yields a new equation:
% 45.87/15.26  																														| (29642) all_0_57_57 = all_0_92_92
% 45.87/15.26  																														|
% 45.87/15.27  																														| Simplifying 29642 yields:
% 45.87/15.27  																														| (29643) all_0_57_57 = all_0_92_92
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (24571) and (29554) follows:
% 45.87/15.27  																														| (9982) op(e4, e3) = e2
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (23233) and (29629) follows:
% 45.87/15.27  																														| (29630) op(e4, e1) = e4
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (11070) and (11003) follows:
% 45.87/15.27  																														| (5343) op(e2, e3) = e0
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (4076) and (4027) follows:
% 45.87/15.27  																														| (307) op(e1, e4) = e2
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (29638) and (29592) follows:
% 45.87/15.27  																														| (218) op(e1, e3) = all_0_90_90
% 45.87/15.27  																														|
% 45.87/15.27  																														| From (29643) and (10725) follows:
% 45.87/15.27  																														| (135) op(e1, e1) = all_0_92_92
% 45.87/15.27  																														|
% 45.87/15.27  																														+-Applying beta-rule and splitting (276), into two cases.
% 45.87/15.27  																														|-Branch one:
% 45.87/15.27  																														| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 45.87/15.27  																														|
% 45.87/15.27  																															+-Applying beta-rule and splitting (577), into two cases.
% 45.87/15.27  																															|-Branch one:
% 45.87/15.27  																															| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 45.87/15.27  																															|
% 45.87/15.27  																																+-Applying beta-rule and splitting (578), into two cases.
% 45.87/15.27  																																|-Branch one:
% 45.87/15.27  																																| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 45.87/15.27  																																|
% 45.87/15.27  																																	| Applying alpha-rule on (579) yields:
% 45.87/15.27  																																	| (580) all_0_60_60 = e4
% 45.87/15.27  																																	| (581)  ~ (all_0_61_61 = e1)
% 45.87/15.27  																																	|
% 45.87/15.27  																																	| Combining equations (4076,580) yields a new equation:
% 45.87/15.27  																																	| (310) e4 = e2
% 45.87/15.27  																																	|
% 45.87/15.27  																																	| Equations (310) can reduce 79 to:
% 45.87/15.27  																																	| (311) $false
% 45.87/15.27  																																	|
% 45.87/15.27  																																	|-The branch is then unsatisfiable
% 45.87/15.27  																																|-Branch two:
% 45.87/15.27  																																| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 45.87/15.27  																																|
% 45.87/15.27  																																	| Applying alpha-rule on (585) yields:
% 45.87/15.27  																																	| (586) all_0_62_62 = e3
% 45.87/15.27  																																	| (587)  ~ (all_0_63_63 = e1)
% 45.87/15.27  																																	|
% 45.87/15.27  																																	| Combining equations (1413,586) yields a new equation:
% 45.87/15.27  																																	| (772) e3 = e1
% 45.87/15.27  																																	|
% 45.87/15.27  																																	| Equations (772) can reduce 20 to:
% 45.87/15.27  																																	| (311) $false
% 45.87/15.27  																																	|
% 45.87/15.27  																																	|-The branch is then unsatisfiable
% 45.87/15.27  																															|-Branch two:
% 45.87/15.27  																															| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 45.87/15.27  																															|
% 45.87/15.27  																																| Applying alpha-rule on (590) yields:
% 45.87/15.27  																																| (591) all_0_64_64 = e2
% 45.87/15.27  																																| (592)  ~ (all_0_65_65 = e1)
% 45.87/15.27  																																|
% 45.87/15.27  																																| Combining equations (5478,591) yields a new equation:
% 45.87/15.27  																																| (29665) all_0_92_92 = e2
% 45.87/15.27  																																|
% 45.87/15.28  																																| Simplifying 29665 yields:
% 45.87/15.28  																																| (1343) all_0_92_92 = e2
% 45.87/15.28  																																|
% 45.87/15.28  																																| Equations (1343) can reduce 298 to:
% 45.87/15.28  																																| (311) $false
% 45.87/15.28  																																|
% 45.87/15.28  																																|-The branch is then unsatisfiable
% 45.87/15.28  																														|-Branch two:
% 45.87/15.28  																														| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 45.87/15.28  																														|
% 45.87/15.28  																															| Applying alpha-rule on (596) yields:
% 45.87/15.28  																															| (597) all_0_67_67 = e0
% 45.87/15.28  																															| (598)  ~ (all_0_68_68 = e1)
% 45.87/15.28  																															|
% 45.87/15.28  																															| From (597) and (252) follows:
% 45.87/15.28  																															| (8666) op(e1, all_0_97_97) = e0
% 45.87/15.28  																															|
% 45.87/15.28  																															+-Applying beta-rule and splitting (186), into two cases.
% 45.87/15.28  																															|-Branch one:
% 45.87/15.28  																															| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 45.87/15.28  																															|
% 45.87/15.28  																																+-Applying beta-rule and splitting (726), into two cases.
% 45.87/15.28  																																|-Branch one:
% 45.87/15.28  																																| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 45.87/15.28  																																|
% 45.87/15.28  																																	+-Applying beta-rule and splitting (727), into two cases.
% 45.87/15.28  																																	|-Branch one:
% 45.87/15.28  																																	| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 45.87/15.28  																																	|
% 45.87/15.28  																																		| Applying alpha-rule on (728) yields:
% 45.87/15.28  																																		| (729) all_0_43_43 = e4
% 45.87/15.28  																																		| (730)  ~ (all_0_44_44 = e3)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Combining equations (22968,729) yields a new equation:
% 45.87/15.28  																																		| (912) e4 = e0
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Equations (912) can reduce 23 to:
% 45.87/15.28  																																		| (311) $false
% 45.87/15.28  																																		|
% 45.87/15.28  																																		|-The branch is then unsatisfiable
% 45.87/15.28  																																	|-Branch two:
% 45.87/15.28  																																	| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 45.87/15.28  																																	|
% 45.87/15.28  																																		| Applying alpha-rule on (734) yields:
% 45.87/15.28  																																		| (735) all_0_46_46 = e2
% 45.87/15.28  																																		| (736)  ~ (all_0_47_47 = e3)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Combining equations (9576,735) yields a new equation:
% 45.87/15.28  																																		| (13555) all_0_85_85 = e2
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Simplifying 13555 yields:
% 45.87/15.28  																																		| (512) all_0_85_85 = e2
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Equations (512) can reduce 515 to:
% 45.87/15.28  																																		| (311) $false
% 45.87/15.28  																																		|
% 45.87/15.28  																																		|-The branch is then unsatisfiable
% 45.87/15.28  																																|-Branch two:
% 45.87/15.28  																																| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 45.87/15.28  																																|
% 45.87/15.28  																																	| Applying alpha-rule on (740) yields:
% 45.87/15.28  																																	| (741) all_0_48_48 = e1
% 45.87/15.28  																																	| (742)  ~ (all_0_49_49 = e3)
% 45.87/15.28  																																	|
% 45.87/15.28  																																	+-Applying beta-rule and splitting (109), into two cases.
% 45.87/15.28  																																	|-Branch one:
% 45.87/15.28  																																	| (469) all_0_82_82 = e4
% 45.87/15.28  																																	|
% 45.87/15.28  																																		| Equations (469) can reduce 209 to:
% 45.87/15.28  																																		| (647)  ~ (all_0_85_85 = e4)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Simplifying 647 yields:
% 45.87/15.28  																																		| (648)  ~ (all_0_85_85 = e4)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Equations (469) can reduce 255 to:
% 45.87/15.28  																																		| (466)  ~ (all_0_90_90 = e4)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Simplifying 466 yields:
% 45.87/15.28  																																		| (467)  ~ (all_0_90_90 = e4)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		| Equations (469) can reduce 347 to:
% 45.87/15.28  																																		| (79)  ~ (e4 = e2)
% 45.87/15.28  																																		|
% 45.87/15.28  																																		+-Applying beta-rule and splitting (182), into two cases.
% 45.87/15.28  																																		|-Branch one:
% 45.87/15.28  																																		| (512) all_0_85_85 = e2
% 45.87/15.28  																																		|
% 45.87/15.28  																																			| Equations (512) can reduce 515 to:
% 45.87/15.28  																																			| (311) $false
% 45.87/15.28  																																			|
% 45.87/15.28  																																			|-The branch is then unsatisfiable
% 45.87/15.28  																																		|-Branch two:
% 45.87/15.28  																																		| (515)  ~ (all_0_85_85 = e2)
% 45.87/15.28  																																		| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 45.87/15.28  																																		|
% 45.87/15.28  																																			+-Applying beta-rule and splitting (27), into two cases.
% 45.87/15.28  																																			|-Branch one:
% 45.87/15.28  																																			| (746) all_0_90_90 = e2
% 45.87/15.28  																																			|
% 45.87/15.28  																																				| Equations (746) can reduce 294 to:
% 45.87/15.28  																																				| (311) $false
% 45.87/15.28  																																				|
% 45.87/15.28  																																				|-The branch is then unsatisfiable
% 45.87/15.28  																																			|-Branch two:
% 45.87/15.28  																																			| (294)  ~ (all_0_90_90 = e2)
% 45.87/15.28  																																			| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 45.87/15.28  																																			|
% 45.87/15.28  																																				+-Applying beta-rule and splitting (725), into two cases.
% 45.87/15.28  																																				|-Branch one:
% 45.87/15.28  																																				| (804) all_0_85_85 = e3
% 45.87/15.28  																																				|
% 45.87/15.28  																																					| Equations (804) can reduce 75 to:
% 45.87/15.28  																																					| (1518)  ~ (all_0_98_98 = e3)
% 45.87/15.28  																																					|
% 45.87/15.28  																																					| Simplifying 1518 yields:
% 45.87/15.28  																																					| (1519)  ~ (all_0_98_98 = e3)
% 45.87/15.28  																																					|
% 45.87/15.28  																																					+-Applying beta-rule and splitting (749), into two cases.
% 45.87/15.28  																																					|-Branch one:
% 45.87/15.28  																																					| (750) all_0_90_90 = e1
% 45.87/15.28  																																					|
% 45.87/15.28  																																						| Equations (750) can reduce 678 to:
% 45.87/15.28  																																						| (311) $false
% 45.87/15.28  																																						|
% 45.87/15.28  																																						|-The branch is then unsatisfiable
% 45.87/15.28  																																					|-Branch two:
% 45.87/15.28  																																					| (678)  ~ (all_0_90_90 = e1)
% 45.87/15.28  																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 45.87/15.28  																																					|
% 45.87/15.28  																																						+-Applying beta-rule and splitting (48), into two cases.
% 45.87/15.28  																																						|-Branch one:
% 45.87/15.28  																																						| (525) all_0_98_98 = e2
% 45.87/15.28  																																						|
% 45.87/15.28  																																							| Equations (525) can reduce 1349 to:
% 45.87/15.28  																																							| (311) $false
% 45.87/15.28  																																							|
% 45.87/15.28  																																							|-The branch is then unsatisfiable
% 45.87/15.28  																																						|-Branch two:
% 45.87/15.28  																																						| (1349)  ~ (all_0_98_98 = e2)
% 45.87/15.28  																																						| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 45.87/15.28  																																						|
% 45.87/15.28  																																							+-Applying beta-rule and splitting (753), into two cases.
% 45.87/15.28  																																							|-Branch one:
% 45.87/15.28  																																							| (754) all_0_90_90 = e3
% 45.87/15.28  																																							|
% 45.87/15.28  																																								| Equations (754) can reduce 72 to:
% 45.87/15.28  																																								| (425)  ~ (all_0_92_92 = e3)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| Simplifying 425 yields:
% 45.87/15.28  																																								| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| Equations (754) can reduce 467 to:
% 45.87/15.28  																																								| (783)  ~ (e4 = e3)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| Simplifying 783 yields:
% 45.87/15.28  																																								| (177)  ~ (e4 = e3)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| Equations (754) can reduce 294 to:
% 45.87/15.28  																																								| (169)  ~ (e3 = e2)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| Equations (754) can reduce 678 to:
% 45.87/15.28  																																								| (20)  ~ (e3 = e1)
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| From (754) and (35) follows:
% 45.87/15.28  																																								| (29720) op(e1, e3) = all_0_49_49
% 45.87/15.28  																																								|
% 45.87/15.28  																																								| From (754) and (218) follows:
% 45.87/15.28  																																								| (4744) op(e1, e3) = e3
% 45.87/15.28  																																								|
% 45.87/15.28  																																								+-Applying beta-rule and splitting (207), into two cases.
% 45.87/15.28  																																								|-Branch one:
% 45.87/15.28  																																								| (416) all_0_80_80 = e3
% 45.87/15.28  																																								|
% 45.87/15.28  																																									| Combining equations (416,433) yields a new equation:
% 45.87/15.28  																																									| (434) e4 = e3
% 45.87/15.28  																																									|
% 45.87/15.28  																																									| Equations (434) can reduce 177 to:
% 45.87/15.28  																																									| (311) $false
% 45.87/15.28  																																									|
% 45.87/15.28  																																									|-The branch is then unsatisfiable
% 45.87/15.28  																																								|-Branch two:
% 45.87/15.28  																																								| (2347)  ~ (all_0_80_80 = e3)
% 45.87/15.28  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 45.87/15.28  																																								|
% 45.87/15.28  																																									| Equations (433) can reduce 2347 to:
% 45.87/15.28  																																									| (177)  ~ (e4 = e3)
% 45.87/15.28  																																									|
% 45.87/15.28  																																									+-Applying beta-rule and splitting (46), into two cases.
% 45.87/15.28  																																									|-Branch one:
% 45.87/15.28  																																									| (308) all_0_89_89 = e4
% 45.87/15.28  																																									|
% 45.87/15.28  																																										| Combining equations (292,308) yields a new equation:
% 45.87/15.28  																																										| (310) e4 = e2
% 45.87/15.28  																																										|
% 45.87/15.28  																																										| Equations (310) can reduce 79 to:
% 45.87/15.28  																																										| (311) $false
% 45.87/15.28  																																										|
% 45.87/15.28  																																										|-The branch is then unsatisfiable
% 45.87/15.28  																																									|-Branch two:
% 45.87/15.28  																																									| (312)  ~ (all_0_89_89 = e4)
% 45.87/15.28  																																									| (1915) all_0_90_90 = e4 | all_0_92_92 = e4 | all_0_93_93 = e4
% 45.87/15.28  																																									|
% 45.87/15.28  																																										+-Applying beta-rule and splitting (119), into two cases.
% 45.87/15.28  																																										|-Branch one:
% 45.87/15.28  																																										| (1343) all_0_92_92 = e2
% 45.87/15.28  																																										|
% 45.87/15.28  																																											| Equations (1343) can reduce 298 to:
% 45.87/15.28  																																											| (311) $false
% 45.87/15.28  																																											|
% 45.87/15.28  																																											|-The branch is then unsatisfiable
% 45.87/15.28  																																										|-Branch two:
% 45.87/15.28  																																										| (298)  ~ (all_0_92_92 = e2)
% 45.87/15.28  																																										| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.87/15.28  																																										|
% 45.87/15.28  																																											+-Applying beta-rule and splitting (270), into two cases.
% 45.87/15.28  																																											|-Branch one:
% 45.87/15.28  																																											| (744) all_0_95_95 = e3
% 45.87/15.28  																																											|
% 45.87/15.28  																																												| Combining equations (785,744) yields a new equation:
% 45.87/15.28  																																												| (772) e3 = e1
% 45.87/15.28  																																												|
% 45.87/15.28  																																												| Equations (772) can reduce 20 to:
% 45.87/15.28  																																												| (311) $false
% 45.87/15.28  																																												|
% 45.87/15.28  																																												|-The branch is then unsatisfiable
% 45.87/15.28  																																											|-Branch two:
% 45.87/15.28  																																											| (765)  ~ (all_0_95_95 = e3)
% 45.87/15.28  																																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.87/15.28  																																											|
% 45.87/15.28  																																												+-Applying beta-rule and splitting (1915), into two cases.
% 45.87/15.28  																																												|-Branch one:
% 45.87/15.28  																																												| (583) all_0_90_90 = e4
% 45.87/15.28  																																												|
% 45.87/15.28  																																													| Combining equations (754,583) yields a new equation:
% 45.87/15.28  																																													| (434) e4 = e3
% 45.87/15.28  																																													|
% 45.87/15.28  																																													| Equations (434) can reduce 177 to:
% 45.87/15.28  																																													| (311) $false
% 45.87/15.28  																																													|
% 45.87/15.28  																																													|-The branch is then unsatisfiable
% 45.87/15.28  																																												|-Branch two:
% 45.87/15.28  																																												| (467)  ~ (all_0_90_90 = e4)
% 45.87/15.28  																																												| (1928) all_0_92_92 = e4 | all_0_93_93 = e4
% 45.87/15.28  																																												|
% 45.87/15.28  																																													+-Applying beta-rule and splitting (3735), into two cases.
% 45.87/15.28  																																													|-Branch one:
% 45.87/15.28  																																													| (836) all_0_92_92 = e1
% 45.87/15.28  																																													|
% 45.87/15.28  																																														| Equations (836) can reduce 840 to:
% 45.87/15.28  																																														| (311) $false
% 45.87/15.28  																																														|
% 45.87/15.28  																																														|-The branch is then unsatisfiable
% 45.87/15.28  																																													|-Branch two:
% 45.87/15.28  																																													| (840)  ~ (all_0_92_92 = e1)
% 45.87/15.28  																																													| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.87/15.28  																																													|
% 45.87/15.28  																																														+-Applying beta-rule and splitting (3800), into two cases.
% 45.87/15.28  																																														|-Branch one:
% 45.87/15.28  																																														| (882) all_0_92_92 = e3
% 45.87/15.28  																																														|
% 45.87/15.28  																																															| Equations (882) can reduce 426 to:
% 45.87/15.28  																																															| (311) $false
% 45.87/15.28  																																															|
% 45.87/15.28  																																															|-The branch is then unsatisfiable
% 45.87/15.28  																																														|-Branch two:
% 45.87/15.28  																																														| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.28  																																														| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.87/15.28  																																														|
% 45.87/15.28  																																															+-Applying beta-rule and splitting (5118), into two cases.
% 45.87/15.28  																																															|-Branch one:
% 45.87/15.28  																																															| (1543) all_0_98_98 = e1
% 45.87/15.28  																																															|
% 45.87/15.28  																																																| Equations (1543) can reduce 1804 to:
% 45.87/15.28  																																																| (311) $false
% 45.87/15.28  																																																|
% 45.87/15.28  																																																|-The branch is then unsatisfiable
% 45.87/15.28  																																															|-Branch two:
% 45.87/15.28  																																															| (1804)  ~ (all_0_98_98 = e1)
% 45.87/15.28  																																															| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 45.87/15.28  																																															|
% 45.87/15.28  																																																+-Applying beta-rule and splitting (2481), into two cases.
% 45.87/15.28  																																																|-Branch one:
% 45.87/15.28  																																																| (1265) all_0_84_84 = e3
% 45.87/15.28  																																																|
% 45.87/15.28  																																																	| Combining equations (1265,552) yields a new equation:
% 45.87/15.28  																																																	| (547) e3 = e2
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																	| Simplifying 547 yields:
% 45.87/15.28  																																																	| (548) e3 = e2
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																	| Equations (548) can reduce 169 to:
% 45.87/15.28  																																																	| (311) $false
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																	|-The branch is then unsatisfiable
% 45.87/15.28  																																																|-Branch two:
% 45.87/15.28  																																																| (422)  ~ (all_0_84_84 = e3)
% 45.87/15.28  																																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 45.87/15.28  																																																|
% 45.87/15.28  																																																	| Equations (552) can reduce 422 to:
% 45.87/15.28  																																																	| (356)  ~ (e3 = e2)
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																	| Simplifying 356 yields:
% 45.87/15.28  																																																	| (169)  ~ (e3 = e2)
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																	+-Applying beta-rule and splitting (766), into two cases.
% 45.87/15.28  																																																	|-Branch one:
% 45.87/15.28  																																																	| (778) all_0_96_96 = e3
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																		| Combining equations (1704,778) yields a new equation:
% 45.87/15.28  																																																		| (548) e3 = e2
% 45.87/15.28  																																																		|
% 45.87/15.28  																																																		| Equations (548) can reduce 169 to:
% 45.87/15.28  																																																		| (311) $false
% 45.87/15.28  																																																		|
% 45.87/15.28  																																																		|-The branch is then unsatisfiable
% 45.87/15.28  																																																	|-Branch two:
% 45.87/15.28  																																																	| (964)  ~ (all_0_96_96 = e3)
% 45.87/15.28  																																																	| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.87/15.28  																																																	|
% 45.87/15.28  																																																		+-Applying beta-rule and splitting (16683), into two cases.
% 45.87/15.28  																																																		|-Branch one:
% 45.87/15.28  																																																		| (942) all_0_92_92 = e0
% 45.87/15.28  																																																		|
% 45.87/15.29  																																																			| Equations (942) can reduce 1619 to:
% 45.87/15.29  																																																			| (904)  ~ (e4 = e0)
% 45.87/15.29  																																																			|
% 45.87/15.29  																																																			| Simplifying 904 yields:
% 45.87/15.29  																																																			| (23)  ~ (e4 = e0)
% 45.87/15.29  																																																			|
% 45.87/15.29  																																																			+-Applying beta-rule and splitting (1928), into two cases.
% 45.87/15.29  																																																			|-Branch one:
% 45.87/15.29  																																																			| (442) all_0_92_92 = e4
% 45.87/15.29  																																																			|
% 45.87/15.29  																																																				| Combining equations (442,942) yields a new equation:
% 45.87/15.29  																																																				| (911) e4 = e0
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																				| Simplifying 911 yields:
% 45.87/15.29  																																																				| (912) e4 = e0
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																				| Equations (912) can reduce 23 to:
% 45.87/15.29  																																																				| (311) $false
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																				|-The branch is then unsatisfiable
% 45.87/15.29  																																																			|-Branch two:
% 45.87/15.29  																																																			| (1619)  ~ (all_0_92_92 = e4)
% 45.87/15.29  																																																			| (607) all_0_93_93 = e4
% 45.87/15.29  																																																			|
% 45.87/15.29  																																																				| Equations (607) can reduce 13 to:
% 45.87/15.29  																																																				| (320)  ~ (all_0_98_98 = e4)
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																				| Simplifying 320 yields:
% 45.87/15.29  																																																				| (321)  ~ (all_0_98_98 = e4)
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																				+-Applying beta-rule and splitting (5122), into two cases.
% 45.87/15.29  																																																				|-Branch one:
% 45.87/15.29  																																																				| (969) all_0_98_98 = e3
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																					| Equations (969) can reduce 1519 to:
% 45.87/15.29  																																																					| (311) $false
% 45.87/15.29  																																																					|
% 45.87/15.29  																																																					|-The branch is then unsatisfiable
% 45.87/15.29  																																																				|-Branch two:
% 45.87/15.29  																																																				| (1519)  ~ (all_0_98_98 = e3)
% 45.87/15.29  																																																				| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 45.87/15.29  																																																				|
% 45.87/15.29  																																																					+-Applying beta-rule and splitting (5284), into two cases.
% 45.87/15.29  																																																					|-Branch one:
% 45.87/15.29  																																																					| (1121) all_0_98_98 = e0
% 45.87/15.29  																																																					|
% 45.87/15.29  																																																						| Equations (1121) can reduce 148 to:
% 45.87/15.29  																																																						| (609)  ~ (all_0_97_97 = e0)
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																						| Equations (1121) can reduce 1519 to:
% 45.87/15.29  																																																						| (906)  ~ (e3 = e0)
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																						| Simplifying 906 yields:
% 45.87/15.29  																																																						| (50)  ~ (e3 = e0)
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																						+-Applying beta-rule and splitting (965), into two cases.
% 45.87/15.29  																																																						|-Branch one:
% 45.87/15.29  																																																						| (556) all_0_97_97 = e3
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																							| Equations (556) can reduce 609 to:
% 45.87/15.29  																																																							| (50)  ~ (e3 = e0)
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| From (556) and (8666) follows:
% 45.87/15.29  																																																							| (8938) op(e1, e3) = e0
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Instantiating formula (262) with e1, e3, e3, all_0_49_49 and discharging atoms op(e1, e3) = all_0_49_49, op(e1, e3) = e3, yields:
% 45.87/15.29  																																																							| (8782) all_0_49_49 = e3
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Instantiating formula (262) with e1, e3, e0, all_0_49_49 and discharging atoms op(e1, e3) = all_0_49_49, op(e1, e3) = e0, yields:
% 45.87/15.29  																																																							| (8783) all_0_49_49 = e0
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Combining equations (8783,8782) yields a new equation:
% 45.87/15.29  																																																							| (600) e3 = e0
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Equations (600) can reduce 50 to:
% 45.87/15.29  																																																							| (311) $false
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							|-The branch is then unsatisfiable
% 45.87/15.29  																																																						|-Branch two:
% 45.87/15.29  																																																						| (428)  ~ (all_0_97_97 = e3)
% 45.87/15.29  																																																						| (969) all_0_98_98 = e3
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																							| Combining equations (969,1121) yields a new equation:
% 45.87/15.29  																																																							| (599) e3 = e0
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Simplifying 599 yields:
% 45.87/15.29  																																																							| (600) e3 = e0
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							| Equations (600) can reduce 50 to:
% 45.87/15.29  																																																							| (311) $false
% 45.87/15.29  																																																							|
% 45.87/15.29  																																																							|-The branch is then unsatisfiable
% 45.87/15.29  																																																					|-Branch two:
% 45.87/15.29  																																																					| (2059)  ~ (all_0_98_98 = e0)
% 45.87/15.29  																																																					| (2650) all_0_98_98 = e4
% 45.87/15.29  																																																					|
% 45.87/15.29  																																																						| Equations (2650) can reduce 321 to:
% 45.87/15.29  																																																						| (311) $false
% 45.87/15.29  																																																						|
% 45.87/15.29  																																																						|-The branch is then unsatisfiable
% 45.87/15.29  																																																		|-Branch two:
% 45.87/15.29  																																																		| (946)  ~ (all_0_92_92 = e0)
% 45.87/15.29  																																																		| (442) all_0_92_92 = e4
% 45.87/15.29  																																																		|
% 45.87/15.29  																																																			| Equations (442) can reduce 1619 to:
% 45.87/15.29  																																																			| (311) $false
% 45.87/15.29  																																																			|
% 45.87/15.29  																																																			|-The branch is then unsatisfiable
% 45.87/15.29  																																							|-Branch two:
% 45.87/15.29  																																							| (745)  ~ (all_0_90_90 = e3)
% 45.87/15.29  																																							| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 45.87/15.29  																																							|
% 45.87/15.29  																																								+-Applying beta-rule and splitting (757), into two cases.
% 45.87/15.29  																																								|-Branch one:
% 45.87/15.29  																																								| (758) all_0_90_90 = e0
% 45.87/15.29  																																								|
% 45.87/15.29  																																									| Equations (758) can reduce 762 to:
% 45.87/15.29  																																									| (311) $false
% 45.87/15.29  																																									|
% 45.87/15.29  																																									|-The branch is then unsatisfiable
% 45.87/15.29  																																								|-Branch two:
% 45.87/15.29  																																								| (762)  ~ (all_0_90_90 = e0)
% 45.87/15.29  																																								| (583) all_0_90_90 = e4
% 45.87/15.29  																																								|
% 45.87/15.29  																																									| Equations (583) can reduce 467 to:
% 45.87/15.29  																																									| (311) $false
% 45.87/15.29  																																									|
% 45.87/15.29  																																									|-The branch is then unsatisfiable
% 45.87/15.29  																																				|-Branch two:
% 45.87/15.29  																																				| (952)  ~ (all_0_85_85 = e3)
% 45.87/15.29  																																				| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 45.87/15.29  																																				|
% 45.87/15.29  																																					+-Applying beta-rule and splitting (953), into two cases.
% 45.87/15.29  																																					|-Branch one:
% 45.87/15.29  																																					| (954) all_0_85_85 = e0
% 45.87/15.29  																																					|
% 45.87/15.29  																																						| Equations (954) can reduce 800 to:
% 45.87/15.29  																																						| (311) $false
% 45.87/15.29  																																						|
% 45.87/15.29  																																						|-The branch is then unsatisfiable
% 45.87/15.29  																																					|-Branch two:
% 45.87/15.29  																																					| (800)  ~ (all_0_85_85 = e0)
% 45.87/15.29  																																					| (493) all_0_85_85 = e4
% 45.87/15.29  																																					|
% 45.87/15.29  																																						| Equations (493) can reduce 648 to:
% 45.87/15.29  																																						| (311) $false
% 45.87/15.29  																																						|
% 45.87/15.29  																																						|-The branch is then unsatisfiable
% 45.87/15.29  																																	|-Branch two:
% 45.87/15.29  																																	| (465)  ~ (all_0_82_82 = e4)
% 45.87/15.29  																																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 45.87/15.29  																																	|
% 45.87/15.29  																																		+-Applying beta-rule and splitting (10), into two cases.
% 45.87/15.29  																																		|-Branch one:
% 45.87/15.29  																																		| (530) all_0_82_82 = e2
% 45.87/15.29  																																		|
% 45.87/15.29  																																			| Equations (530) can reduce 347 to:
% 45.87/15.29  																																			| (311) $false
% 45.87/15.29  																																			|
% 45.87/15.29  																																			|-The branch is then unsatisfiable
% 45.87/15.29  																																		|-Branch two:
% 45.87/15.29  																																		| (347)  ~ (all_0_82_82 = e2)
% 45.87/15.29  																																		| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.87/15.29  																																		|
% 45.87/15.29  																																			+-Applying beta-rule and splitting (4), into two cases.
% 45.87/15.29  																																			|-Branch one:
% 45.87/15.29  																																			| (463) all_0_78_78 = e4
% 45.87/15.29  																																			|
% 45.87/15.29  																																				| Combining equations (463,400) yields a new equation:
% 45.87/15.29  																																				| (309) e4 = e2
% 45.87/15.29  																																				|
% 45.87/15.29  																																				| Simplifying 309 yields:
% 45.87/15.29  																																				| (310) e4 = e2
% 45.87/15.29  																																				|
% 45.87/15.29  																																				| Equations (310) can reduce 79 to:
% 45.87/15.29  																																				| (311) $false
% 45.87/15.29  																																				|
% 45.87/15.29  																																				|-The branch is then unsatisfiable
% 45.87/15.29  																																			|-Branch two:
% 45.87/15.29  																																			| (640)  ~ (all_0_78_78 = e4)
% 45.87/15.29  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 45.87/15.29  																																			|
% 45.87/15.29  																																				| Equations (400) can reduce 640 to:
% 45.87/15.29  																																				| (528)  ~ (e4 = e2)
% 45.87/15.29  																																				|
% 45.87/15.29  																																				| Simplifying 528 yields:
% 45.87/15.29  																																				| (79)  ~ (e4 = e2)
% 45.87/15.29  																																				|
% 45.87/15.29  																																				+-Applying beta-rule and splitting (3625), into two cases.
% 45.87/15.29  																																				|-Branch one:
% 45.87/15.29  																																				| (469) all_0_82_82 = e4
% 45.87/15.29  																																				|
% 45.87/15.29  																																					| Equations (469) can reduce 465 to:
% 45.87/15.29  																																					| (311) $false
% 45.87/15.29  																																					|
% 45.87/15.29  																																					|-The branch is then unsatisfiable
% 45.87/15.29  																																				|-Branch two:
% 45.87/15.29  																																				| (465)  ~ (all_0_82_82 = e4)
% 45.87/15.29  																																				| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 45.87/15.29  																																				|
% 45.87/15.29  																																					+-Applying beta-rule and splitting (2205), into two cases.
% 45.87/15.29  																																					|-Branch one:
% 45.87/15.29  																																					| (789) all_0_82_82 = e3
% 45.87/15.29  																																					|
% 45.87/15.29  																																						| Equations (789) can reduce 255 to:
% 45.87/15.29  																																						| (1815)  ~ (all_0_90_90 = e3)
% 45.87/15.29  																																						|
% 45.87/15.29  																																						| Simplifying 1815 yields:
% 45.87/15.29  																																						| (745)  ~ (all_0_90_90 = e3)
% 45.87/15.29  																																						|
% 45.87/15.29  																																						| Equations (789) can reduce 198 to:
% 45.87/15.29  																																						| (20)  ~ (e3 = e1)
% 45.87/15.29  																																						|
% 45.87/15.29  																																						| Equations (789) can reduce 914 to:
% 45.87/15.29  																																						| (50)  ~ (e3 = e0)
% 45.87/15.29  																																						|
% 45.87/15.29  																																						+-Applying beta-rule and splitting (472), into two cases.
% 45.87/15.29  																																						|-Branch one:
% 45.87/15.29  																																						| (438) all_0_84_84 = e4
% 45.87/15.29  																																						|
% 45.87/15.29  																																							| Combining equations (552,438) yields a new equation:
% 45.87/15.29  																																							| (310) e4 = e2
% 45.87/15.29  																																							|
% 45.87/15.29  																																							| Equations (310) can reduce 79 to:
% 45.87/15.29  																																							| (311) $false
% 45.87/15.29  																																							|
% 45.87/15.29  																																							|-The branch is then unsatisfiable
% 45.87/15.29  																																						|-Branch two:
% 45.87/15.29  																																						| (417)  ~ (all_0_84_84 = e4)
% 45.87/15.29  																																						| (493) all_0_85_85 = e4
% 45.87/15.29  																																						|
% 45.87/15.29  																																							| Equations (493) can reduce 128 to:
% 45.87/15.29  																																							| (256)  ~ (e4 = e1)
% 45.87/15.29  																																							|
% 45.87/15.29  																																							| From (493) and (8) follows:
% 45.87/15.29  																																							| (4406) op(e3, e0) = e4
% 45.87/15.29  																																							|
% 45.87/15.29  																																							+-Applying beta-rule and splitting (3629), into two cases.
% 45.87/15.29  																																							|-Branch one:
% 45.87/15.29  																																							| (583) all_0_90_90 = e4
% 45.87/15.29  																																							|
% 45.87/15.29  																																								| Equations (583) can reduce 72 to:
% 45.87/15.29  																																								| (1906)  ~ (all_0_92_92 = e4)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Simplifying 1906 yields:
% 45.87/15.29  																																								| (1619)  ~ (all_0_92_92 = e4)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Equations (583) can reduce 745 to:
% 45.87/15.29  																																								| (177)  ~ (e4 = e3)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Equations (583) can reduce 762 to:
% 45.87/15.29  																																								| (23)  ~ (e4 = e0)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| From (583) and (35) follows:
% 45.87/15.29  																																								| (10485) op(e1, e4) = all_0_49_49
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| From (583) and (218) follows:
% 45.87/15.29  																																								| (4391) op(e1, e3) = e4
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Instantiating formula (262) with e1, e4, all_0_49_49, e2 and discharging atoms op(e1, e4) = all_0_49_49, op(e1, e4) = e2, yields:
% 45.87/15.29  																																								| (10505) all_0_49_49 = e2
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Equations (10505) can reduce 742 to:
% 45.87/15.29  																																								| (356)  ~ (e3 = e2)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| Simplifying 356 yields:
% 45.87/15.29  																																								| (169)  ~ (e3 = e2)
% 45.87/15.29  																																								|
% 45.87/15.29  																																								| From (10505) and (10485) follows:
% 45.87/15.30  																																								| (307) op(e1, e4) = e2
% 45.87/15.30  																																								|
% 45.87/15.30  																																								+-Applying beta-rule and splitting (270), into two cases.
% 45.87/15.30  																																								|-Branch one:
% 45.87/15.30  																																								| (744) all_0_95_95 = e3
% 45.87/15.30  																																								|
% 45.87/15.30  																																									| Combining equations (785,744) yields a new equation:
% 45.87/15.30  																																									| (772) e3 = e1
% 45.87/15.30  																																									|
% 45.87/15.30  																																									| Equations (772) can reduce 20 to:
% 45.87/15.30  																																									| (311) $false
% 45.87/15.30  																																									|
% 45.87/15.30  																																									|-The branch is then unsatisfiable
% 45.87/15.30  																																								|-Branch two:
% 45.87/15.30  																																								| (765)  ~ (all_0_95_95 = e3)
% 45.87/15.30  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 45.87/15.30  																																								|
% 45.87/15.30  																																									| Equations (785) can reduce 765 to:
% 45.87/15.30  																																									| (683)  ~ (e3 = e1)
% 45.87/15.30  																																									|
% 45.87/15.30  																																									| Simplifying 683 yields:
% 45.87/15.30  																																									| (20)  ~ (e3 = e1)
% 45.87/15.30  																																									|
% 45.87/15.30  																																									+-Applying beta-rule and splitting (289), into two cases.
% 45.87/15.30  																																									|-Branch one:
% 45.87/15.30  																																									| (954) all_0_85_85 = e0
% 45.87/15.30  																																									|
% 45.87/15.30  																																										| Combining equations (954,493) yields a new equation:
% 45.87/15.30  																																										| (912) e4 = e0
% 45.87/15.30  																																										|
% 45.87/15.30  																																										| Equations (912) can reduce 23 to:
% 45.87/15.30  																																										| (311) $false
% 45.87/15.30  																																										|
% 45.87/15.30  																																										|-The branch is then unsatisfiable
% 45.87/15.30  																																									|-Branch two:
% 45.87/15.30  																																									| (800)  ~ (all_0_85_85 = e0)
% 45.87/15.30  																																									| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 45.87/15.30  																																									|
% 45.87/15.30  																																										| Equations (493) can reduce 800 to:
% 45.87/15.30  																																										| (23)  ~ (e4 = e0)
% 45.87/15.30  																																										|
% 45.87/15.30  																																										+-Applying beta-rule and splitting (291), into two cases.
% 45.87/15.30  																																										|-Branch one:
% 45.87/15.30  																																										| (758) all_0_90_90 = e0
% 45.87/15.30  																																										|
% 45.87/15.30  																																											| Combining equations (583,758) yields a new equation:
% 45.87/15.30  																																											| (911) e4 = e0
% 45.87/15.30  																																											|
% 45.87/15.30  																																											| Simplifying 911 yields:
% 45.87/15.30  																																											| (912) e4 = e0
% 45.87/15.30  																																											|
% 45.87/15.30  																																											| Equations (912) can reduce 23 to:
% 45.87/15.30  																																											| (311) $false
% 45.87/15.30  																																											|
% 45.87/15.30  																																											|-The branch is then unsatisfiable
% 45.87/15.30  																																										|-Branch two:
% 45.87/15.30  																																										| (762)  ~ (all_0_90_90 = e0)
% 45.87/15.30  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 45.87/15.30  																																										|
% 45.87/15.30  																																											+-Applying beta-rule and splitting (282), into two cases.
% 45.87/15.30  																																											|-Branch one:
% 45.87/15.30  																																											| (754) all_0_90_90 = e3
% 45.87/15.30  																																											|
% 45.87/15.30  																																												| Combining equations (583,754) yields a new equation:
% 45.87/15.30  																																												| (790) e4 = e3
% 45.87/15.30  																																												|
% 45.87/15.30  																																												| Simplifying 790 yields:
% 45.87/15.30  																																												| (434) e4 = e3
% 45.87/15.30  																																												|
% 45.87/15.30  																																												| Equations (434) can reduce 177 to:
% 45.87/15.30  																																												| (311) $false
% 45.87/15.30  																																												|
% 45.87/15.30  																																												|-The branch is then unsatisfiable
% 45.87/15.30  																																											|-Branch two:
% 45.87/15.30  																																											| (745)  ~ (all_0_90_90 = e3)
% 45.87/15.30  																																											| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 45.87/15.30  																																											|
% 45.87/15.30  																																												+-Applying beta-rule and splitting (2), into two cases.
% 45.87/15.30  																																												|-Branch one:
% 45.87/15.30  																																												| (916) all_0_84_84 = e0
% 45.87/15.30  																																												|
% 45.87/15.30  																																													| Combining equations (552,916) yields a new equation:
% 45.87/15.30  																																													| (923) e2 = e0
% 45.87/15.30  																																													|
% 45.87/15.30  																																													| Simplifying 923 yields:
% 45.87/15.30  																																													| (379) e2 = e0
% 45.87/15.30  																																													|
% 45.87/15.30  																																													| Equations (379) can reduce 76 to:
% 45.87/15.30  																																													| (311) $false
% 45.87/15.30  																																													|
% 45.87/15.30  																																													|-The branch is then unsatisfiable
% 45.87/15.30  																																												|-Branch two:
% 45.87/15.30  																																												| (919)  ~ (all_0_84_84 = e0)
% 45.87/15.30  																																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.87/15.30  																																												|
% 45.87/15.30  																																													| Equations (552) can reduce 919 to:
% 45.87/15.30  																																													| (76)  ~ (e2 = e0)
% 45.87/15.30  																																													|
% 45.87/15.30  																																													+-Applying beta-rule and splitting (102), into two cases.
% 45.87/15.30  																																													|-Branch one:
% 45.87/15.30  																																													| (858) all_0_95_95 = e0
% 45.87/15.30  																																													|
% 45.87/15.30  																																														| Combining equations (785,858) yields a new equation:
% 45.87/15.30  																																														| (1107) e1 = e0
% 45.87/15.30  																																														|
% 45.87/15.30  																																														| Simplifying 1107 yields:
% 45.87/15.30  																																														| (865) e1 = e0
% 45.87/15.30  																																														|
% 45.87/15.30  																																														| Equations (865) can reduce 264 to:
% 45.87/15.30  																																														| (311) $false
% 45.87/15.30  																																														|
% 45.87/15.30  																																														|-The branch is then unsatisfiable
% 45.87/15.30  																																													|-Branch two:
% 45.87/15.30  																																													| (893)  ~ (all_0_95_95 = e0)
% 45.87/15.30  																																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 45.87/15.30  																																													|
% 45.87/15.30  																																														| Equations (785) can reduce 893 to:
% 45.87/15.30  																																														| (264)  ~ (e1 = e0)
% 45.87/15.30  																																														|
% 45.87/15.30  																																														+-Applying beta-rule and splitting (250), into two cases.
% 45.87/15.30  																																														|-Branch one:
% 45.87/15.30  																																														| (635) all_0_81_81 = e3
% 45.87/15.30  																																														|
% 45.87/15.30  																																															| Combining equations (635,477) yields a new equation:
% 45.87/15.30  																																															| (825) e3 = e1
% 45.87/15.30  																																															|
% 45.87/15.30  																																															| Simplifying 825 yields:
% 45.87/15.30  																																															| (772) e3 = e1
% 45.87/15.30  																																															|
% 45.87/15.30  																																															| Equations (772) can reduce 20 to:
% 45.87/15.30  																																															| (311) $false
% 45.87/15.30  																																															|
% 45.87/15.30  																																															|-The branch is then unsatisfiable
% 45.87/15.30  																																														|-Branch two:
% 45.87/15.30  																																														| (420)  ~ (all_0_81_81 = e3)
% 45.87/15.30  																																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 45.87/15.30  																																														|
% 45.87/15.30  																																															| Equations (477) can reduce 420 to:
% 45.87/15.30  																																															| (683)  ~ (e3 = e1)
% 45.87/15.30  																																															|
% 45.87/15.30  																																															| Simplifying 683 yields:
% 45.87/15.30  																																															| (20)  ~ (e3 = e1)
% 45.87/15.30  																																															|
% 45.87/15.30  																																															+-Applying beta-rule and splitting (119), into two cases.
% 45.87/15.30  																																															|-Branch one:
% 45.87/15.30  																																															| (1343) all_0_92_92 = e2
% 45.87/15.30  																																															|
% 45.87/15.30  																																																| Equations (1343) can reduce 298 to:
% 45.87/15.30  																																																| (311) $false
% 45.87/15.30  																																																|
% 45.87/15.30  																																																|-The branch is then unsatisfiable
% 45.87/15.30  																																															|-Branch two:
% 45.87/15.30  																																															| (298)  ~ (all_0_92_92 = e2)
% 45.87/15.30  																																															| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 45.87/15.30  																																															|
% 45.87/15.30  																																																+-Applying beta-rule and splitting (112), into two cases.
% 45.87/15.30  																																																|-Branch one:
% 45.87/15.30  																																																| (538) all_0_97_97 = e2
% 45.87/15.30  																																																|
% 45.87/15.30  																																																	| Equations (538) can reduce 527 to:
% 45.87/15.30  																																																	| (311) $false
% 45.87/15.30  																																																	|
% 45.87/15.30  																																																	|-The branch is then unsatisfiable
% 45.87/15.30  																																																|-Branch two:
% 45.87/15.30  																																																| (527)  ~ (all_0_97_97 = e2)
% 45.87/15.30  																																																| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 45.87/15.30  																																																|
% 45.87/15.30  																																																	+-Applying beta-rule and splitting (196), into two cases.
% 45.87/15.30  																																																	|-Branch one:
% 45.87/15.30  																																																	| (4725) unit = e2
% 45.87/15.30  																																																	|
% 45.87/15.30  																																																		| From (4725) and (170) follows:
% 45.87/15.30  																																																		| (4726) op(e2, e4) = e4
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| From (4725) and (203) follows:
% 45.87/15.30  																																																		| (13257) op(e2, e3) = e3
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| From (4725) and (269) follows:
% 45.87/15.30  																																																		| (4728) op(e2, e2) = e2
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 45.87/15.30  																																																		| (434) e4 = e3
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Instantiating formula (262) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 45.87/15.30  																																																		| (600) e3 = e0
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Instantiating formula (262) with e2, e2, e2, e4 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 45.87/15.30  																																																		| (310) e4 = e2
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Combining equations (434,310) yields a new equation:
% 45.87/15.30  																																																		| (547) e3 = e2
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Simplifying 547 yields:
% 45.87/15.30  																																																		| (548) e3 = e2
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Combining equations (548,600) yields a new equation:
% 45.87/15.30  																																																		| (923) e2 = e0
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Simplifying 923 yields:
% 45.87/15.30  																																																		| (379) e2 = e0
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		| Equations (379) can reduce 76 to:
% 45.87/15.30  																																																		| (311) $false
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																		|-The branch is then unsatisfiable
% 45.87/15.30  																																																	|-Branch two:
% 45.87/15.30  																																																	| (4740)  ~ (unit = e2)
% 45.87/15.30  																																																	| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 45.87/15.30  																																																	|
% 45.87/15.30  																																																		+-Applying beta-rule and splitting (766), into two cases.
% 45.87/15.30  																																																		|-Branch one:
% 45.87/15.30  																																																		| (778) all_0_96_96 = e3
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																			| Combining equations (778,1704) yields a new equation:
% 45.87/15.30  																																																			| (547) e3 = e2
% 45.87/15.30  																																																			|
% 45.87/15.30  																																																			| Simplifying 547 yields:
% 45.87/15.30  																																																			| (548) e3 = e2
% 45.87/15.30  																																																			|
% 45.87/15.30  																																																			| Equations (548) can reduce 169 to:
% 45.87/15.30  																																																			| (311) $false
% 45.87/15.30  																																																			|
% 45.87/15.30  																																																			|-The branch is then unsatisfiable
% 45.87/15.30  																																																		|-Branch two:
% 45.87/15.30  																																																		| (964)  ~ (all_0_96_96 = e3)
% 45.87/15.30  																																																		| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 45.87/15.30  																																																		|
% 45.87/15.30  																																																			+-Applying beta-rule and splitting (1077), into two cases.
% 45.87/15.30  																																																			|-Branch one:
% 45.87/15.30  																																																			| (507) all_0_88_88 = e0
% 45.87/15.30  																																																			|
% 45.87/15.30  																																																				| Combining equations (370,507) yields a new equation:
% 45.87/15.30  																																																				| (923) e2 = e0
% 45.87/15.30  																																																				|
% 45.87/15.30  																																																				| Simplifying 923 yields:
% 45.87/15.30  																																																				| (379) e2 = e0
% 45.87/15.30  																																																				|
% 45.87/15.30  																																																				| Equations (379) can reduce 76 to:
% 45.87/15.30  																																																				| (311) $false
% 45.87/15.30  																																																				|
% 45.87/15.30  																																																				|-The branch is then unsatisfiable
% 45.87/15.30  																																																			|-Branch two:
% 45.87/15.30  																																																			| (1110)  ~ (all_0_88_88 = e0)
% 45.87/15.30  																																																			| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 45.87/15.30  																																																			|
% 45.87/15.30  																																																				+-Applying beta-rule and splitting (1455), into two cases.
% 45.87/15.30  																																																				|-Branch one:
% 45.87/15.30  																																																				| (1456) all_0_91_91 = e0
% 45.87/15.30  																																																				|
% 45.87/15.30  																																																					| Combining equations (1456,801) yields a new equation:
% 45.87/15.30  																																																					| (865) e1 = e0
% 45.87/15.30  																																																					|
% 45.87/15.30  																																																					| Equations (865) can reduce 264 to:
% 45.87/15.30  																																																					| (311) $false
% 45.87/15.30  																																																					|
% 45.87/15.30  																																																					|-The branch is then unsatisfiable
% 45.87/15.30  																																																				|-Branch two:
% 45.87/15.30  																																																				| (1487)  ~ (all_0_91_91 = e0)
% 45.87/15.30  																																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 45.87/15.30  																																																				|
% 45.87/15.30  																																																					| Equations (801) can reduce 1487 to:
% 45.87/15.30  																																																					| (264)  ~ (e1 = e0)
% 45.87/15.30  																																																					|
% 45.87/15.30  																																																					+-Applying beta-rule and splitting (849), into two cases.
% 45.87/15.30  																																																					|-Branch one:
% 45.87/15.30  																																																					| (588) all_0_91_91 = e3
% 45.87/15.30  																																																					|
% 45.87/15.30  																																																						| Combining equations (588,801) yields a new equation:
% 45.87/15.30  																																																						| (825) e3 = e1
% 45.87/15.30  																																																						|
% 45.87/15.30  																																																						| Simplifying 825 yields:
% 45.87/15.30  																																																						| (772) e3 = e1
% 45.87/15.30  																																																						|
% 45.87/15.30  																																																						| Equations (772) can reduce 20 to:
% 45.87/15.30  																																																						| (311) $false
% 45.87/15.30  																																																						|
% 45.87/15.30  																																																						|-The branch is then unsatisfiable
% 45.87/15.30  																																																					|-Branch two:
% 45.87/15.30  																																																					| (571)  ~ (all_0_91_91 = e3)
% 45.87/15.30  																																																					| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 45.87/15.30  																																																					|
% 45.87/15.30  																																																						+-Applying beta-rule and splitting (920), into two cases.
% 45.87/15.30  																																																						|-Branch one:
% 45.87/15.30  																																																						| (861) all_0_87_87 = e0
% 45.87/15.30  																																																						|
% 45.87/15.30  																																																							| Combining equations (482,861) yields a new equation:
% 45.87/15.30  																																																							| (1107) e1 = e0
% 45.87/15.30  																																																							|
% 45.87/15.30  																																																							| Simplifying 1107 yields:
% 45.87/15.30  																																																							| (865) e1 = e0
% 45.87/15.30  																																																							|
% 45.87/15.30  																																																							| Equations (865) can reduce 264 to:
% 45.87/15.30  																																																							| (311) $false
% 45.87/15.30  																																																							|
% 45.87/15.30  																																																							|-The branch is then unsatisfiable
% 45.87/15.30  																																																						|-Branch two:
% 45.87/15.30  																																																						| (889)  ~ (all_0_87_87 = e0)
% 45.87/15.30  																																																						| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.87/15.30  																																																						|
% 45.87/15.30  																																																							+-Applying beta-rule and splitting (3735), into two cases.
% 45.87/15.30  																																																							|-Branch one:
% 45.87/15.30  																																																							| (836) all_0_92_92 = e1
% 45.87/15.30  																																																							|
% 45.87/15.30  																																																								| Equations (836) can reduce 840 to:
% 45.87/15.30  																																																								| (311) $false
% 45.87/15.30  																																																								|
% 45.87/15.30  																																																								|-The branch is then unsatisfiable
% 45.87/15.30  																																																							|-Branch two:
% 45.87/15.30  																																																							| (840)  ~ (all_0_92_92 = e1)
% 45.87/15.30  																																																							| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 45.87/15.30  																																																							|
% 45.87/15.30  																																																								+-Applying beta-rule and splitting (541), into two cases.
% 45.87/15.30  																																																								|-Branch one:
% 45.87/15.30  																																																								| (542) all_0_97_97 = e1
% 45.87/15.30  																																																								|
% 45.87/15.30  																																																									| Equations (542) can reduce 486 to:
% 45.87/15.30  																																																									| (311) $false
% 45.87/15.30  																																																									|
% 45.87/15.30  																																																									|-The branch is then unsatisfiable
% 45.87/15.30  																																																								|-Branch two:
% 45.87/15.30  																																																								| (486)  ~ (all_0_97_97 = e1)
% 45.87/15.30  																																																								| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 45.87/15.30  																																																								|
% 45.87/15.30  																																																									+-Applying beta-rule and splitting (965), into two cases.
% 45.87/15.30  																																																									|-Branch one:
% 45.87/15.30  																																																									| (556) all_0_97_97 = e3
% 45.87/15.30  																																																									|
% 45.87/15.30  																																																										| Equations (556) can reduce 258 to:
% 45.87/15.30  																																																										| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.30  																																																										|
% 45.87/15.30  																																																										| From (556) and (8666) follows:
% 45.87/15.30  																																																										| (8938) op(e1, e3) = e0
% 45.87/15.30  																																																										|
% 45.87/15.30  																																																										+-Applying beta-rule and splitting (881), into two cases.
% 45.87/15.30  																																																										|-Branch one:
% 45.87/15.30  																																																										| (882) all_0_92_92 = e3
% 45.87/15.30  																																																										|
% 45.87/15.30  																																																											| Equations (882) can reduce 426 to:
% 45.87/15.30  																																																											| (311) $false
% 45.87/15.30  																																																											|
% 45.87/15.30  																																																											|-The branch is then unsatisfiable
% 45.87/15.30  																																																										|-Branch two:
% 45.87/15.30  																																																										| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.30  																																																										| (570) all_0_93_93 = e3
% 45.87/15.30  																																																										|
% 45.87/15.30  																																																											| Equations (570) can reduce 283 to:
% 45.87/15.30  																																																											| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.30  																																																											|
% 45.87/15.30  																																																											+-Applying beta-rule and splitting (3800), into two cases.
% 45.87/15.30  																																																											|-Branch one:
% 45.87/15.30  																																																											| (882) all_0_92_92 = e3
% 45.87/15.30  																																																											|
% 45.87/15.30  																																																												| Equations (882) can reduce 426 to:
% 45.87/15.30  																																																												| (311) $false
% 45.87/15.30  																																																												|
% 45.87/15.30  																																																												|-The branch is then unsatisfiable
% 45.87/15.30  																																																											|-Branch two:
% 45.87/15.30  																																																											| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.30  																																																											| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 45.87/15.30  																																																											|
% 45.87/15.30  																																																												+-Applying beta-rule and splitting (16683), into two cases.
% 45.87/15.30  																																																												|-Branch one:
% 45.87/15.30  																																																												| (942) all_0_92_92 = e0
% 45.87/15.30  																																																												|
% 45.87/15.30  																																																													| Equations (942) can reduce 1619 to:
% 45.87/15.30  																																																													| (904)  ~ (e4 = e0)
% 45.87/15.30  																																																													|
% 45.87/15.30  																																																													| Simplifying 904 yields:
% 45.87/15.30  																																																													| (23)  ~ (e4 = e0)
% 45.87/15.30  																																																													|
% 45.87/15.30  																																																													| Instantiating formula (262) with e1, e3, e0, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e0, yields:
% 45.87/15.30  																																																													| (912) e4 = e0
% 45.87/15.30  																																																													|
% 45.87/15.30  																																																													| Equations (912) can reduce 23 to:
% 45.87/15.30  																																																													| (311) $false
% 45.87/15.30  																																																													|
% 45.87/15.30  																																																													|-The branch is then unsatisfiable
% 45.87/15.30  																																																												|-Branch two:
% 45.87/15.30  																																																												| (946)  ~ (all_0_92_92 = e0)
% 45.87/15.30  																																																												| (442) all_0_92_92 = e4
% 45.87/15.30  																																																												|
% 45.87/15.30  																																																													| Equations (442) can reduce 1619 to:
% 45.87/15.30  																																																													| (311) $false
% 45.87/15.30  																																																													|
% 45.87/15.30  																																																													|-The branch is then unsatisfiable
% 45.87/15.30  																																																									|-Branch two:
% 45.87/15.30  																																																									| (428)  ~ (all_0_97_97 = e3)
% 45.87/15.30  																																																									| (969) all_0_98_98 = e3
% 45.87/15.30  																																																									|
% 45.87/15.30  																																																										| Equations (969) can reduce 13 to:
% 45.87/15.30  																																																										| (602)  ~ (all_0_93_93 = e3)
% 45.87/15.31  																																																										|
% 45.87/15.31  																																																										| From (969) and (38) follows:
% 45.87/15.31  																																																										| (9794) op(e0, e0) = e3
% 45.87/15.31  																																																										|
% 45.87/15.31  																																																										+-Applying beta-rule and splitting (881), into two cases.
% 45.87/15.31  																																																										|-Branch one:
% 45.87/15.31  																																																										| (882) all_0_92_92 = e3
% 45.87/15.31  																																																										|
% 45.87/15.31  																																																											| Equations (882) can reduce 283 to:
% 45.87/15.31  																																																											| (807)  ~ (all_0_93_93 = e3)
% 45.87/15.31  																																																											|
% 45.87/15.31  																																																											| Simplifying 807 yields:
% 45.87/15.31  																																																											| (602)  ~ (all_0_93_93 = e3)
% 45.87/15.31  																																																											|
% 45.87/15.31  																																																											| From (882) and (135) follows:
% 45.87/15.31  																																																											| (8770) op(e1, e1) = e3
% 45.87/15.31  																																																											|
% 45.87/15.31  																																																											+-Applying beta-rule and splitting (1111), into two cases.
% 45.87/15.31  																																																											|-Branch one:
% 45.87/15.31  																																																											| (604) all_0_93_93 = e0
% 45.87/15.31  																																																											|
% 45.87/15.31  																																																												| Equations (604) can reduce 602 to:
% 45.87/15.31  																																																												| (906)  ~ (e3 = e0)
% 45.87/15.31  																																																												|
% 45.87/15.31  																																																												| Simplifying 906 yields:
% 45.87/15.31  																																																												| (50)  ~ (e3 = e0)
% 45.87/15.31  																																																												|
% 45.87/15.31  																																																												+-Applying beta-rule and splitting (931), into two cases.
% 45.87/15.31  																																																												|-Branch one:
% 45.87/15.31  																																																												| (942) all_0_92_92 = e0
% 45.87/15.31  																																																												|
% 45.87/15.31  																																																													| Combining equations (942,882) yields a new equation:
% 45.87/15.31  																																																													| (600) e3 = e0
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													| Equations (600) can reduce 50 to:
% 45.87/15.31  																																																													| (311) $false
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													|-The branch is then unsatisfiable
% 45.87/15.31  																																																												|-Branch two:
% 45.87/15.31  																																																												| (946)  ~ (all_0_92_92 = e0)
% 45.87/15.31  																																																												| (560) all_0_97_97 = e0
% 45.87/15.31  																																																												|
% 45.87/15.31  																																																													| Equations (560) can reduce 486 to:
% 45.87/15.31  																																																													| (859)  ~ (e1 = e0)
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													| Simplifying 859 yields:
% 45.87/15.31  																																																													| (264)  ~ (e1 = e0)
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													| From (560) and (69) follows:
% 45.87/15.31  																																																													| (24626) op(e0, e0) = all_0_68_68
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													| Instantiating formula (262) with e0, e0, e3, all_0_68_68 and discharging atoms op(e0, e0) = all_0_68_68, op(e0, e0) = e3, yields:
% 45.87/15.31  																																																													| (30010) all_0_68_68 = e3
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													| From (30010) and (24626) follows:
% 45.87/15.31  																																																													| (9794) op(e0, e0) = e3
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																													+-Applying beta-rule and splitting (4741), into two cases.
% 45.87/15.31  																																																													|-Branch one:
% 45.87/15.31  																																																													| (4742) unit = e1
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																														| Equations (4742) can reduce 4740 to:
% 45.87/15.31  																																																														| (487)  ~ (e2 = e1)
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Simplifying 487 yields:
% 45.87/15.31  																																																														| (243)  ~ (e2 = e1)
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| From (4742) and (170) follows:
% 45.87/15.31  																																																														| (4743) op(e1, e4) = e4
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| From (4742) and (203) follows:
% 45.87/15.31  																																																														| (4744) op(e1, e3) = e3
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| From (4742) and (160) follows:
% 45.87/15.31  																																																														| (30017) op(e1, e1) = e1
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Instantiating formula (262) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 45.87/15.31  																																																														| (310) e4 = e2
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Instantiating formula (262) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 45.87/15.31  																																																														| (434) e4 = e3
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Instantiating formula (262) with e1, e1, e1, e3 and discharging atoms op(e1, e1) = e3, op(e1, e1) = e1, yields:
% 45.87/15.31  																																																														| (772) e3 = e1
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Combining equations (310,434) yields a new equation:
% 45.87/15.31  																																																														| (548) e3 = e2
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Combining equations (548,772) yields a new equation:
% 45.87/15.31  																																																														| (408) e2 = e1
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Simplifying 408 yields:
% 45.87/15.31  																																																														| (385) e2 = e1
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														| Equations (385) can reduce 243 to:
% 45.87/15.31  																																																														| (311) $false
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																														|-The branch is then unsatisfiable
% 45.87/15.31  																																																													|-Branch two:
% 45.87/15.31  																																																													| (4754)  ~ (unit = e1)
% 45.87/15.31  																																																													| (4755) unit = e4 | unit = e3 | unit = e0
% 45.87/15.31  																																																													|
% 45.87/15.31  																																																														+-Applying beta-rule and splitting (4755), into two cases.
% 45.87/15.31  																																																														|-Branch one:
% 45.87/15.31  																																																														| (4756) unit = e3
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																															| From (4756) and (11) follows:
% 45.87/15.31  																																																															| (4757) op(e4, e3) = e4
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| From (4756) and (269) follows:
% 45.87/15.31  																																																															| (362) op(e2, e3) = e2
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| From (4756) and (160) follows:
% 45.87/15.31  																																																															| (3486) op(e1, e3) = e1
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Instantiating formula (262) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 45.87/15.31  																																																															| (310) e4 = e2
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Instantiating formula (262) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 45.87/15.31  																																																															| (379) e2 = e0
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Instantiating formula (262) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 45.87/15.31  																																																															| (814) e4 = e1
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Combining equations (310,814) yields a new equation:
% 45.87/15.31  																																																															| (408) e2 = e1
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Simplifying 408 yields:
% 45.87/15.31  																																																															| (385) e2 = e1
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Combining equations (385,379) yields a new equation:
% 45.87/15.31  																																																															| (1107) e1 = e0
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Simplifying 1107 yields:
% 45.87/15.31  																																																															| (865) e1 = e0
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															| Equations (865) can reduce 264 to:
% 45.87/15.31  																																																															| (311) $false
% 45.87/15.31  																																																															|
% 45.87/15.31  																																																															|-The branch is then unsatisfiable
% 45.87/15.31  																																																														|-Branch two:
% 45.87/15.31  																																																														| (4768)  ~ (unit = e3)
% 45.87/15.31  																																																														| (4769) unit = e4 | unit = e0
% 45.87/15.31  																																																														|
% 45.87/15.31  																																																															+-Applying beta-rule and splitting (4769), into two cases.
% 45.87/15.31  																																																															|-Branch one:
% 45.87/15.31  																																																															| (4770) unit = e0
% 45.87/15.31  																																																															|
% 45.87/15.32  																																																																| Equations (4770) can reduce 4754 to:
% 45.87/15.32  																																																																| (859)  ~ (e1 = e0)
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Simplifying 859 yields:
% 45.87/15.32  																																																																| (264)  ~ (e1 = e0)
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| From (4770) and (11) follows:
% 45.87/15.32  																																																																| (4772) op(e4, e0) = e4
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| From (4770) and (271) follows:
% 45.87/15.32  																																																																| (1048) op(e3, e0) = e3
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| From (4770) and (57) follows:
% 45.87/15.32  																																																																| (30046) op(e0, e0) = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Instantiating formula (262) with e4, e0, e4, e1 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e1, yields:
% 45.87/15.32  																																																																| (814) e4 = e1
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Instantiating formula (262) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 45.87/15.32  																																																																| (434) e4 = e3
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Instantiating formula (262) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields:
% 45.87/15.32  																																																																| (600) e3 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Combining equations (814,434) yields a new equation:
% 45.87/15.32  																																																																| (772) e3 = e1
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Combining equations (772,600) yields a new equation:
% 45.87/15.32  																																																																| (1107) e1 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Simplifying 1107 yields:
% 45.87/15.32  																																																																| (865) e1 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Equations (865) can reduce 264 to:
% 45.87/15.32  																																																																| (311) $false
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																|-The branch is then unsatisfiable
% 45.87/15.32  																																																															|-Branch two:
% 45.87/15.32  																																																															| (4780)  ~ (unit = e0)
% 45.87/15.32  																																																															| (4781) unit = e4
% 45.87/15.32  																																																															|
% 45.87/15.32  																																																																| From (4781) and (36) follows:
% 45.87/15.32  																																																																| (20006) op(e4, e1) = e1
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| From (4781) and (57) follows:
% 45.87/15.32  																																																																| (30057) op(e0, e4) = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Instantiating formula (262) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 45.87/15.32  																																																																| (814) e4 = e1
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Instantiating formula (262) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields:
% 45.87/15.32  																																																																| (912) e4 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Combining equations (814,912) yields a new equation:
% 45.87/15.32  																																																																| (1107) e1 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Simplifying 1107 yields:
% 45.87/15.32  																																																																| (865) e1 = e0
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																| Equations (865) can reduce 264 to:
% 45.87/15.32  																																																																| (311) $false
% 45.87/15.32  																																																																|
% 45.87/15.32  																																																																|-The branch is then unsatisfiable
% 45.87/15.32  																																																											|-Branch two:
% 45.87/15.32  																																																											| (509)  ~ (all_0_93_93 = e0)
% 45.87/15.32  																																																											| (1121) all_0_98_98 = e0
% 45.87/15.32  																																																											|
% 45.87/15.32  																																																												| Combining equations (969,1121) yields a new equation:
% 45.87/15.32  																																																												| (599) e3 = e0
% 45.87/15.32  																																																												|
% 45.87/15.32  																																																												| Simplifying 599 yields:
% 45.87/15.32  																																																												| (600) e3 = e0
% 45.87/15.32  																																																												|
% 45.87/15.32  																																																												| Equations (600) can reduce 50 to:
% 45.87/15.32  																																																												| (311) $false
% 45.87/15.32  																																																												|
% 45.87/15.32  																																																												|-The branch is then unsatisfiable
% 45.87/15.32  																																																										|-Branch two:
% 45.87/15.32  																																																										| (426)  ~ (all_0_92_92 = e3)
% 45.87/15.32  																																																										| (570) all_0_93_93 = e3
% 45.87/15.32  																																																										|
% 45.87/15.32  																																																											| Equations (570) can reduce 602 to:
% 45.87/15.32  																																																											| (311) $false
% 45.87/15.32  																																																											|
% 45.87/15.32  																																																											|-The branch is then unsatisfiable
% 45.87/15.32  																																							|-Branch two:
% 45.87/15.32  																																							| (467)  ~ (all_0_90_90 = e4)
% 45.87/15.32  																																							| (894) all_0_95_95 = e4
% 45.87/15.32  																																							|
% 45.87/15.32  																																								| Combining equations (785,894) yields a new equation:
% 45.87/15.32  																																								| (814) e4 = e1
% 45.87/15.32  																																								|
% 45.87/15.32  																																								| Equations (814) can reduce 256 to:
% 45.87/15.32  																																								| (311) $false
% 45.87/15.32  																																								|
% 45.87/15.32  																																								|-The branch is then unsatisfiable
% 45.87/15.32  																																					|-Branch two:
% 45.87/15.32  																																					| (793)  ~ (all_0_82_82 = e3)
% 45.87/15.32  																																					| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.87/15.32  																																					|
% 45.87/15.32  																																						+-Applying beta-rule and splitting (2706), into two cases.
% 45.87/15.32  																																						|-Branch one:
% 45.87/15.32  																																						| (910) all_0_82_82 = e0
% 45.87/15.32  																																						|
% 45.87/15.32  																																							| Equations (910) can reduce 914 to:
% 45.87/15.32  																																							| (311) $false
% 45.87/15.32  																																							|
% 45.87/15.32  																																							|-The branch is then unsatisfiable
% 45.87/15.32  																																						|-Branch two:
% 45.87/15.32  																																						| (914)  ~ (all_0_82_82 = e0)
% 45.87/15.32  																																						| (469) all_0_82_82 = e4
% 45.87/15.32  																																						|
% 45.87/15.32  																																							| Equations (469) can reduce 465 to:
% 45.87/15.32  																																							| (311) $false
% 45.87/15.32  																																							|
% 45.87/15.32  																																							|-The branch is then unsatisfiable
% 45.87/15.32  																															|-Branch two:
% 45.87/15.32  																															| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 45.87/15.32  																															|
% 45.87/15.32  																																| Applying alpha-rule on (973) yields:
% 45.87/15.32  																																| (974) all_0_50_50 = e0
% 45.87/15.32  																																| (975)  ~ (all_0_51_51 = e3)
% 45.87/15.32  																																|
% 45.87/15.32  																																| Combining equations (13437,974) yields a new equation:
% 45.87/15.32  																																| (923) e2 = e0
% 45.87/15.32  																																|
% 45.87/15.32  																																| Simplifying 923 yields:
% 45.87/15.32  																																| (379) e2 = e0
% 45.87/15.32  																																|
% 45.87/15.32  																																| Equations (379) can reduce 76 to:
% 45.87/15.32  																																| (311) $false
% 45.87/15.32  																																|
% 45.87/15.32  																																|-The branch is then unsatisfiable
% 45.87/15.32  																													|-Branch two:
% 45.87/15.32  																													| (436)  ~ (all_0_80_80 = e4)
% 45.87/15.32  																													| (638) all_0_81_81 = e4
% 45.87/15.32  																													|
% 45.87/15.32  																														| Combining equations (477,638) yields a new equation:
% 45.87/15.32  																														| (814) e4 = e1
% 45.87/15.32  																														|
% 45.87/15.32  																														| Equations (814) can reduce 256 to:
% 45.87/15.32  																														| (311) $false
% 45.87/15.32  																														|
% 45.87/15.32  																														|-The branch is then unsatisfiable
% 45.87/15.32  																					|-Branch two:
% 45.87/15.32  																					| (959)  ~ (all_0_91_91 = e1)
% 45.87/15.32  																					| (960) all_0_96_96 = e1
% 45.87/15.32  																					|
% 45.87/15.32  																						| Combining equations (960,1704) yields a new equation:
% 45.87/15.32  																						| (385) e2 = e1
% 45.87/15.32  																						|
% 45.87/15.32  																						| Equations (385) can reduce 243 to:
% 45.87/15.32  																						| (311) $false
% 45.87/15.32  																						|
% 45.87/15.32  																						|-The branch is then unsatisfiable
% 45.87/15.32  																		|-Branch two:
% 45.87/15.32  																		| (1314)  ~ (all_0_83_83 = e0)
% 45.87/15.32  																		| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 45.87/15.32  																		|
% 45.87/15.32  																			+-Applying beta-rule and splitting (456), into two cases.
% 45.87/15.32  																			|-Branch one:
% 45.87/15.32  																			| (795) all_0_83_83 = e3
% 45.87/15.32  																			|
% 45.87/15.32  																				| Equations (795) can reduce 116 to:
% 45.87/15.32  																				| (793)  ~ (all_0_82_82 = e3)
% 45.87/15.32  																				|
% 45.87/15.32  																				| Equations (795) can reduce 226 to:
% 45.87/15.32  																				| (2358)  ~ (all_0_85_85 = e3)
% 45.87/15.33  																				|
% 45.87/15.33  																				| Simplifying 2358 yields:
% 45.87/15.33  																				| (952)  ~ (all_0_85_85 = e3)
% 45.87/15.33  																				|
% 45.87/15.33  																				| Equations (795) can reduce 146 to:
% 45.87/15.33  																				| (1298)  ~ (all_0_91_91 = e3)
% 45.87/15.33  																				|
% 45.87/15.33  																				| Simplifying 1298 yields:
% 45.87/15.33  																				| (571)  ~ (all_0_91_91 = e3)
% 45.87/15.33  																				|
% 45.87/15.33  																				| From (795) and (206) follows:
% 45.87/15.33  																				| (8280) op(e2, e3) = all_0_54_54
% 45.87/15.33  																				|
% 45.87/15.33  																				+-Applying beta-rule and splitting (10), into two cases.
% 45.87/15.33  																				|-Branch one:
% 45.87/15.33  																				| (530) all_0_82_82 = e2
% 45.87/15.33  																				|
% 45.87/15.33  																					| Equations (530) can reduce 347 to:
% 45.87/15.33  																					| (311) $false
% 45.87/15.33  																					|
% 45.87/15.33  																					|-The branch is then unsatisfiable
% 45.87/15.33  																				|-Branch two:
% 45.87/15.33  																				| (347)  ~ (all_0_82_82 = e2)
% 45.87/15.33  																				| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 45.87/15.33  																				|
% 45.87/15.33  																					+-Applying beta-rule and splitting (2205), into two cases.
% 45.87/15.33  																					|-Branch one:
% 45.87/15.33  																					| (789) all_0_82_82 = e3
% 45.87/15.33  																					|
% 45.87/15.33  																						| Equations (789) can reduce 793 to:
% 45.87/15.33  																						| (311) $false
% 45.87/15.33  																						|
% 45.87/15.33  																						|-The branch is then unsatisfiable
% 45.87/15.33  																					|-Branch two:
% 45.87/15.33  																					| (793)  ~ (all_0_82_82 = e3)
% 45.87/15.33  																					| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 45.87/15.33  																					|
% 45.87/15.33  																						+-Applying beta-rule and splitting (2706), into two cases.
% 45.87/15.33  																						|-Branch one:
% 45.87/15.33  																						| (910) all_0_82_82 = e0
% 45.87/15.33  																						|
% 45.87/15.33  																							| Equations (910) can reduce 914 to:
% 45.87/15.33  																							| (311) $false
% 45.87/15.33  																							|
% 45.87/15.33  																							|-The branch is then unsatisfiable
% 45.87/15.33  																						|-Branch two:
% 45.87/15.33  																						| (914)  ~ (all_0_82_82 = e0)
% 45.87/15.33  																						| (469) all_0_82_82 = e4
% 45.87/15.33  																						|
% 45.87/15.33  																							+-Applying beta-rule and splitting (1400), into two cases.
% 45.87/15.33  																							|-Branch one:
% 45.87/15.33  																							| (1456) all_0_91_91 = e0
% 45.87/15.33  																							|
% 45.87/15.33  																								| Equations (1456) can reduce 17 to:
% 45.87/15.33  																								| (9)  ~ (all_0_79_79 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Equations (1456) can reduce 265 to:
% 45.87/15.33  																								| (2299)  ~ (all_0_92_92 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Simplifying 2299 yields:
% 45.87/15.33  																								| (946)  ~ (all_0_92_92 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Equations (1456) can reduce 133 to:
% 45.87/15.33  																								| (904)  ~ (e4 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Simplifying 904 yields:
% 45.87/15.33  																								| (23)  ~ (e4 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Equations (1456) can reduce 571 to:
% 45.87/15.33  																								| (906)  ~ (e3 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Simplifying 906 yields:
% 45.87/15.33  																								| (50)  ~ (e3 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Equations (1456) can reduce 296 to:
% 45.87/15.33  																								| (510)  ~ (e2 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| Simplifying 510 yields:
% 45.87/15.33  																								| (76)  ~ (e2 = e0)
% 45.87/15.33  																								|
% 45.87/15.33  																								| From (1456) and (222) follows:
% 45.87/15.33  																								| (8259) op(e2, e0) = all_0_56_56
% 45.87/15.33  																								|
% 45.87/15.33  																								+-Applying beta-rule and splitting (127), into two cases.
% 45.87/15.33  																								|-Branch one:
% 45.87/15.33  																								| (457) all_0_79_79 = e1
% 45.87/15.33  																								|
% 45.87/15.33  																									| Equations (457) can reduce 235 to:
% 45.87/15.33  																									| (681)  ~ (e4 = e1)
% 45.87/15.33  																									|
% 45.87/15.33  																									| Simplifying 681 yields:
% 45.87/15.33  																									| (256)  ~ (e4 = e1)
% 45.87/15.33  																									|
% 45.87/15.33  																									| Equations (457) can reduce 1622 to:
% 45.87/15.33  																									| (487)  ~ (e2 = e1)
% 45.87/15.33  																									|
% 45.87/15.33  																									| Simplifying 487 yields:
% 45.87/15.33  																									| (243)  ~ (e2 = e1)
% 45.87/15.33  																									|
% 45.87/15.33  																									| Equations (457) can reduce 9 to:
% 45.87/15.33  																									| (264)  ~ (e1 = e0)
% 45.87/15.33  																									|
% 45.87/15.33  																									| From (457) and (184) follows:
% 45.87/15.33  																									| (1679) op(e2, e1) = all_0_52_52
% 45.87/15.33  																									|
% 45.87/15.33  																									+-Applying beta-rule and splitting (249), into two cases.
% 45.87/15.33  																									|-Branch one:
% 45.87/15.33  																									| (910) all_0_82_82 = e0
% 45.87/15.33  																									|
% 45.87/15.33  																										| Combining equations (469,910) yields a new equation:
% 45.87/15.33  																										| (911) e4 = e0
% 45.87/15.33  																										|
% 45.87/15.33  																										| Simplifying 911 yields:
% 45.87/15.33  																										| (912) e4 = e0
% 45.87/15.33  																										|
% 45.87/15.33  																										| Equations (912) can reduce 23 to:
% 45.87/15.33  																										| (311) $false
% 45.87/15.33  																										|
% 45.87/15.33  																										|-The branch is then unsatisfiable
% 45.87/15.33  																									|-Branch two:
% 45.87/15.33  																									| (914)  ~ (all_0_82_82 = e0)
% 45.87/15.33  																									| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 45.87/15.33  																									|
% 45.87/15.33  																										+-Applying beta-rule and splitting (2), into two cases.
% 45.87/15.33  																										|-Branch one:
% 45.87/15.33  																										| (916) all_0_84_84 = e0
% 45.87/15.33  																										|
% 45.87/15.33  																											| Combining equations (552,916) yields a new equation:
% 45.87/15.33  																											| (923) e2 = e0
% 45.87/15.33  																											|
% 45.87/15.33  																											| Simplifying 923 yields:
% 45.87/15.33  																											| (379) e2 = e0
% 45.87/15.33  																											|
% 45.87/15.33  																											| Equations (379) can reduce 76 to:
% 45.87/15.33  																											| (311) $false
% 45.87/15.33  																											|
% 45.87/15.33  																											|-The branch is then unsatisfiable
% 45.87/15.33  																										|-Branch two:
% 45.87/15.33  																										| (919)  ~ (all_0_84_84 = e0)
% 45.87/15.33  																										| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 45.87/15.33  																										|
% 45.87/15.33  																											| Equations (552) can reduce 919 to:
% 45.87/15.33  																											| (76)  ~ (e2 = e0)
% 45.87/15.33  																											|
% 45.87/15.33  																											+-Applying beta-rule and splitting (1309), into two cases.
% 45.87/15.33  																											|-Branch one:
% 45.87/15.33  																											| (798) all_0_83_83 = e0
% 45.87/15.33  																											|
% 45.87/15.33  																												| Combining equations (798,795) yields a new equation:
% 45.87/15.33  																												| (600) e3 = e0
% 45.87/15.33  																												|
% 45.87/15.33  																												| Equations (600) can reduce 50 to:
% 45.87/15.33  																												| (311) $false
% 45.87/15.33  																												|
% 45.87/15.33  																												|-The branch is then unsatisfiable
% 45.87/15.33  																											|-Branch two:
% 45.87/15.33  																											| (1314)  ~ (all_0_83_83 = e0)
% 45.87/15.33  																											| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 45.87/15.33  																											|
% 45.87/15.33  																												+-Applying beta-rule and splitting (920), into two cases.
% 45.87/15.33  																												|-Branch one:
% 45.87/15.33  																												| (861) all_0_87_87 = e0
% 45.87/15.33  																												|
% 45.87/15.33  																													| Combining equations (861,482) yields a new equation:
% 45.87/15.33  																													| (865) e1 = e0
% 45.87/15.33  																													|
% 45.87/15.33  																													| Equations (865) can reduce 264 to:
% 45.87/15.33  																													| (311) $false
% 45.87/15.33  																													|
% 45.87/15.33  																													|-The branch is then unsatisfiable
% 45.87/15.33  																												|-Branch two:
% 45.87/15.33  																												| (889)  ~ (all_0_87_87 = e0)
% 45.87/15.33  																												| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 45.87/15.33  																												|
% 45.87/15.33  																													+-Applying beta-rule and splitting (1315), into two cases.
% 45.87/15.33  																													|-Branch one:
% 45.87/15.33  																													| (916) all_0_84_84 = e0
% 45.87/15.33  																													|
% 45.87/15.33  																														| Combining equations (552,916) yields a new equation:
% 45.87/15.33  																														| (923) e2 = e0
% 45.87/15.33  																														|
% 45.87/15.33  																														| Simplifying 923 yields:
% 45.87/15.33  																														| (379) e2 = e0
% 45.87/15.33  																														|
% 45.87/15.33  																														| Equations (379) can reduce 76 to:
% 45.87/15.33  																														| (311) $false
% 45.87/15.33  																														|
% 45.87/15.33  																														|-The branch is then unsatisfiable
% 45.87/15.33  																													|-Branch two:
% 45.87/15.33  																													| (919)  ~ (all_0_84_84 = e0)
% 45.87/15.33  																													| (954) all_0_85_85 = e0
% 45.87/15.33  																													|
% 45.87/15.33  																														| Equations (954) can reduce 952 to:
% 45.87/15.33  																														| (906)  ~ (e3 = e0)
% 45.87/15.33  																														|
% 45.87/15.33  																														| Simplifying 906 yields:
% 45.87/15.33  																														| (50)  ~ (e3 = e0)
% 45.87/15.33  																														|
% 45.87/15.33  																														+-Applying beta-rule and splitting (931), into two cases.
% 45.87/15.33  																														|-Branch one:
% 45.87/15.33  																														| (942) all_0_92_92 = e0
% 45.87/15.33  																														|
% 45.87/15.33  																															| Equations (942) can reduce 946 to:
% 45.87/15.33  																															| (311) $false
% 45.87/15.33  																															|
% 45.87/15.33  																															|-The branch is then unsatisfiable
% 45.87/15.33  																														|-Branch two:
% 45.87/15.33  																														| (946)  ~ (all_0_92_92 = e0)
% 45.87/15.33  																														| (560) all_0_97_97 = e0
% 45.87/15.33  																														|
% 45.87/15.33  																															| Equations (560) can reduce 319 to:
% 45.87/15.33  																															| (904)  ~ (e4 = e0)
% 45.87/15.33  																															|
% 45.87/15.33  																															| Simplifying 904 yields:
% 45.87/15.33  																															| (23)  ~ (e4 = e0)
% 45.87/15.33  																															|
% 45.87/15.33  																															| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 45.95/15.33  																															| (12243) all_0_54_54 = e0
% 45.95/15.33  																															|
% 45.95/15.33  																															| Instantiating formula (262) with e2, e1, all_0_52_52, e1 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e1, yields:
% 45.95/15.33  																															| (15841) all_0_52_52 = e1
% 45.95/15.33  																															|
% 45.95/15.33  																															| Instantiating formula (262) with e2, e0, all_0_56_56, e2 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e2, yields:
% 45.95/15.33  																															| (8110) all_0_56_56 = e2
% 45.95/15.33  																															|
% 45.95/15.33  																															+-Applying beta-rule and splitting (33), into two cases.
% 45.95/15.33  																															|-Branch one:
% 45.95/15.33  																															| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.95/15.33  																															|
% 45.95/15.33  																																+-Applying beta-rule and splitting (1686), into two cases.
% 45.95/15.33  																																|-Branch one:
% 45.95/15.33  																																| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.95/15.33  																																|
% 45.95/15.33  																																	+-Applying beta-rule and splitting (1687), into two cases.
% 45.95/15.33  																																	|-Branch one:
% 45.95/15.33  																																	| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.95/15.33  																																	|
% 45.95/15.33  																																		| Applying alpha-rule on (1688) yields:
% 45.95/15.33  																																		| (1689) all_0_52_52 = e4
% 45.95/15.33  																																		| (1690)  ~ (all_0_53_53 = e2)
% 45.95/15.33  																																		|
% 45.95/15.33  																																		| Combining equations (15841,1689) yields a new equation:
% 45.95/15.33  																																		| (814) e4 = e1
% 45.95/15.33  																																		|
% 45.95/15.33  																																		| Equations (814) can reduce 256 to:
% 45.95/15.33  																																		| (311) $false
% 45.95/15.33  																																		|
% 45.95/15.33  																																		|-The branch is then unsatisfiable
% 45.95/15.33  																																	|-Branch two:
% 45.95/15.33  																																	| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.95/15.33  																																	|
% 45.95/15.33  																																		| Applying alpha-rule on (1694) yields:
% 45.95/15.33  																																		| (1695) all_0_54_54 = e3
% 45.95/15.33  																																		| (1696)  ~ (all_0_55_55 = e2)
% 45.95/15.33  																																		|
% 45.95/15.33  																																		| Combining equations (12243,1695) yields a new equation:
% 45.95/15.33  																																		| (600) e3 = e0
% 45.95/15.33  																																		|
% 45.95/15.33  																																		| Equations (600) can reduce 50 to:
% 45.95/15.33  																																		| (311) $false
% 45.95/15.33  																																		|
% 45.95/15.33  																																		|-The branch is then unsatisfiable
% 45.95/15.33  																																|-Branch two:
% 45.95/15.33  																																| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.95/15.33  																																|
% 45.95/15.33  																																	| Applying alpha-rule on (1700) yields:
% 45.95/15.33  																																	| (1701) all_0_56_56 = e1
% 45.95/15.33  																																	| (1702)  ~ (all_0_57_57 = e2)
% 45.95/15.33  																																	|
% 45.95/15.33  																																	| Combining equations (8110,1701) yields a new equation:
% 45.95/15.33  																																	| (408) e2 = e1
% 45.95/15.33  																																	|
% 45.95/15.33  																																	| Simplifying 408 yields:
% 45.95/15.33  																																	| (385) e2 = e1
% 45.95/15.33  																																	|
% 45.95/15.33  																																	| Equations (385) can reduce 243 to:
% 45.95/15.33  																																	| (311) $false
% 45.95/15.33  																																	|
% 45.95/15.33  																																	|-The branch is then unsatisfiable
% 45.95/15.33  																															|-Branch two:
% 45.95/15.33  																															| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.95/15.33  																															|
% 45.95/15.33  																																| Applying alpha-rule on (4957) yields:
% 45.95/15.33  																																| (4958) all_0_58_58 = e0
% 45.95/15.33  																																| (4959)  ~ (all_0_59_59 = e2)
% 45.95/15.33  																																|
% 45.95/15.33  																																| Combining equations (8082,4958) yields a new equation:
% 45.95/15.33  																																| (911) e4 = e0
% 45.95/15.33  																																|
% 45.95/15.33  																																| Simplifying 911 yields:
% 45.95/15.33  																																| (912) e4 = e0
% 45.95/15.33  																																|
% 45.95/15.33  																																| Equations (912) can reduce 23 to:
% 45.95/15.33  																																| (311) $false
% 45.95/15.33  																																|
% 45.95/15.33  																																|-The branch is then unsatisfiable
% 45.95/15.33  																								|-Branch two:
% 45.95/15.33  																								| (461)  ~ (all_0_79_79 = e1)
% 45.95/15.33  																								| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 45.95/15.33  																								|
% 45.95/15.33  																									+-Applying beta-rule and splitting (462), into two cases.
% 45.95/15.33  																									|-Branch one:
% 45.95/15.33  																									| (801) all_0_91_91 = e1
% 45.95/15.33  																									|
% 45.95/15.33  																										| Combining equations (1456,801) yields a new equation:
% 45.95/15.33  																										| (865) e1 = e0
% 45.95/15.33  																										|
% 45.95/15.33  																										| Equations (865) can reduce 264 to:
% 45.95/15.33  																										| (311) $false
% 45.95/15.33  																										|
% 45.95/15.33  																										|-The branch is then unsatisfiable
% 45.95/15.33  																									|-Branch two:
% 45.95/15.34  																									| (959)  ~ (all_0_91_91 = e1)
% 45.95/15.34  																									| (960) all_0_96_96 = e1
% 45.95/15.34  																									|
% 45.95/15.34  																										| Combining equations (960,1704) yields a new equation:
% 45.95/15.34  																										| (385) e2 = e1
% 45.95/15.34  																										|
% 45.95/15.34  																										| Equations (385) can reduce 243 to:
% 45.95/15.34  																										| (311) $false
% 45.95/15.34  																										|
% 45.95/15.34  																										|-The branch is then unsatisfiable
% 45.95/15.34  																							|-Branch two:
% 45.95/15.34  																							| (1487)  ~ (all_0_91_91 = e0)
% 45.95/15.34  																							| (1837) all_0_96_96 = e0
% 45.95/15.34  																							|
% 45.95/15.34  																								| Combining equations (1837,1704) yields a new equation:
% 45.95/15.34  																								| (379) e2 = e0
% 45.95/15.34  																								|
% 45.95/15.34  																								| Equations (379) can reduce 76 to:
% 45.95/15.34  																								| (311) $false
% 45.95/15.34  																								|
% 45.95/15.34  																								|-The branch is then unsatisfiable
% 45.95/15.34  																			|-Branch two:
% 45.95/15.34  																			| (779)  ~ (all_0_83_83 = e3)
% 45.95/15.34  																			| (798) all_0_83_83 = e0
% 45.95/15.34  																			|
% 45.95/15.34  																				| Equations (798) can reduce 1314 to:
% 45.95/15.34  																				| (311) $false
% 45.95/15.34  																				|
% 45.95/15.34  																				|-The branch is then unsatisfiable
% 45.95/15.34  																	|-Branch two:
% 45.95/15.34  																	| (612)  ~ (all_0_84_84 = e2)
% 45.95/15.34  																	| (512) all_0_85_85 = e2
% 45.95/15.34  																	|
% 45.95/15.34  																		| Equations (512) can reduce 515 to:
% 45.95/15.34  																		| (311) $false
% 45.95/15.34  																		|
% 45.95/15.34  																		|-The branch is then unsatisfiable
% 45.95/15.34  										|-Branch two:
% 45.95/15.34  										| (346)  ~ (all_0_78_78 = e2)
% 45.95/15.34  										| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 45.95/15.34  										|
% 45.95/15.34  											+-Applying beta-rule and splitting (1658), into two cases.
% 45.95/15.34  											|-Branch one:
% 45.95/15.34  											| (390) all_0_79_79 = e2
% 45.95/15.34  											|
% 45.95/15.34  												| Equations (390) can reduce 1622 to:
% 45.95/15.34  												| (311) $false
% 45.95/15.34  												|
% 45.95/15.34  												|-The branch is then unsatisfiable
% 45.95/15.34  											|-Branch two:
% 45.95/15.34  											| (1622)  ~ (all_0_79_79 = e2)
% 45.95/15.34  											| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 45.95/15.34  											|
% 45.95/15.34  												+-Applying beta-rule and splitting (3249), into two cases.
% 45.95/15.34  												|-Branch one:
% 45.95/15.34  												| (546) all_0_80_80 = e2
% 45.95/15.34  												|
% 45.95/15.34  													| Equations (546) can reduce 67 to:
% 45.95/15.34  													| (346)  ~ (all_0_78_78 = e2)
% 45.95/15.34  													|
% 45.95/15.34  													| Equations (546) can reduce 273 to:
% 45.95/15.34  													| (1631)  ~ (all_0_84_84 = e2)
% 45.95/15.34  													|
% 45.95/15.34  													| Simplifying 1631 yields:
% 45.95/15.34  													| (612)  ~ (all_0_84_84 = e2)
% 45.95/15.34  													|
% 45.95/15.34  													| Equations (546) can reduce 202 to:
% 45.95/15.34  													| (2376)  ~ (all_0_97_97 = e2)
% 45.95/15.34  													|
% 45.95/15.34  													| Simplifying 2376 yields:
% 45.95/15.34  													| (527)  ~ (all_0_97_97 = e2)
% 45.95/15.34  													|
% 45.95/15.34  													| From (546) and (117) follows:
% 45.95/15.34  													| (30230) op(e2, e1) = all_0_5_5
% 45.95/15.34  													|
% 45.95/15.34  													+-Applying beta-rule and splitting (70), into two cases.
% 45.95/15.34  													|-Branch one:
% 45.95/15.34  													| (400) all_0_78_78 = e2
% 45.95/15.34  													|
% 45.95/15.34  														| Equations (400) can reduce 346 to:
% 45.95/15.34  														| (311) $false
% 45.95/15.34  														|
% 45.95/15.34  														|-The branch is then unsatisfiable
% 45.95/15.34  													|-Branch two:
% 45.95/15.34  													| (346)  ~ (all_0_78_78 = e2)
% 45.95/15.34  													| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 45.95/15.34  													|
% 45.95/15.34  														+-Applying beta-rule and splitting (403), into two cases.
% 45.95/15.34  														|-Branch one:
% 45.95/15.34  														| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 45.95/15.34  														|
% 45.95/15.34  															+-Applying beta-rule and splitting (404), into two cases.
% 45.95/15.34  															|-Branch one:
% 45.95/15.34  															| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 45.95/15.34  															|
% 45.95/15.34  																| Applying alpha-rule on (405) yields:
% 45.95/15.34  																| (406) all_0_39_39 = e1
% 45.95/15.34  																| (407)  ~ (all_0_40_40 = e4)
% 45.95/15.34  																|
% 45.95/15.34  																| Combining equations (406,331) yields a new equation:
% 45.95/15.34  																| (457) all_0_79_79 = e1
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (335) can reduce 407 to:
% 45.95/15.34  																| (133)  ~ (all_0_91_91 = e4)
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (457) can reduce 66 to:
% 45.95/15.34  																| (1601)  ~ (all_0_78_78 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (457) can reduce 272 to:
% 45.95/15.34  																| (11487)  ~ (all_0_83_83 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Simplifying 11487 yields:
% 45.95/15.34  																| (113)  ~ (all_0_83_83 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (457) can reduce 214 to:
% 45.95/15.34  																| (1671)  ~ (all_0_96_96 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Simplifying 1671 yields:
% 45.95/15.34  																| (1479)  ~ (all_0_96_96 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (457) can reduce 235 to:
% 45.95/15.34  																| (681)  ~ (e4 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Simplifying 681 yields:
% 45.95/15.34  																| (256)  ~ (e4 = e1)
% 45.95/15.34  																|
% 45.95/15.34  																| Equations (457) can reduce 9 to:
% 45.95/15.34  																| (264)  ~ (e1 = e0)
% 45.95/15.34  																|
% 45.95/15.34  																| From (457) and (184) follows:
% 45.95/15.34  																| (1679) op(e2, e1) = all_0_52_52
% 45.95/15.34  																|
% 45.95/15.34  																| Instantiating formula (262) with e2, e1, all_0_5_5, e1 and discharging atoms op(e2, e1) = all_0_5_5, op(e2, e1) = e1, yields:
% 45.95/15.34  																| (30250) all_0_5_5 = e1
% 45.95/15.34  																|
% 45.95/15.34  																| Instantiating formula (262) with e2, e1, all_0_52_52, all_0_5_5 and discharging atoms op(e2, e1) = all_0_5_5, op(e2, e1) = all_0_52_52, yields:
% 45.95/15.34  																| (30251) all_0_5_5 = all_0_52_52
% 45.95/15.34  																|
% 45.95/15.34  																| Combining equations (30251,30250) yields a new equation:
% 45.95/15.34  																| (30252) all_0_52_52 = e1
% 45.95/15.34  																|
% 45.95/15.35  																| Simplifying 30252 yields:
% 45.95/15.35  																| (15841) all_0_52_52 = e1
% 45.95/15.35  																|
% 45.95/15.35  																+-Applying beta-rule and splitting (52), into two cases.
% 45.95/15.35  																|-Branch one:
% 45.95/15.35  																| (453) all_0_83_83 = e2
% 45.95/15.35  																|
% 45.95/15.35  																	| Equations (453) can reduce 226 to:
% 45.95/15.35  																	| (691)  ~ (all_0_85_85 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Simplifying 691 yields:
% 45.95/15.35  																	| (515)  ~ (all_0_85_85 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Equations (453) can reduce 211 to:
% 45.95/15.35  																	| (1637)  ~ (all_0_96_96 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Simplifying 1637 yields:
% 45.95/15.35  																	| (1638)  ~ (all_0_96_96 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Equations (453) can reduce 155 to:
% 45.95/15.35  																	| (528)  ~ (e4 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Simplifying 528 yields:
% 45.95/15.35  																	| (79)  ~ (e4 = e2)
% 45.95/15.35  																	|
% 45.95/15.35  																	| Equations (453) can reduce 113 to:
% 45.95/15.35  																	| (243)  ~ (e2 = e1)
% 45.95/15.35  																	|
% 45.95/15.35  																	| From (453) and (163) follows:
% 45.95/15.35  																	| (13410) op(e3, e2) = all_0_55_55
% 45.95/15.35  																	|
% 45.95/15.35  																	| From (453) and (174) follows:
% 45.95/15.35  																	| (13287) op(e3, e2) = e2
% 45.95/15.35  																	|
% 45.95/15.35  																	+-Applying beta-rule and splitting (97), into two cases.
% 45.95/15.35  																	|-Branch one:
% 45.95/15.35  																	| (1757) all_0_94_94 = e2
% 45.95/15.35  																	|
% 45.95/15.35  																		| Combining equations (313,1757) yields a new equation:
% 45.95/15.35  																		| (309) e4 = e2
% 45.95/15.35  																		|
% 45.95/15.35  																		| Simplifying 309 yields:
% 45.95/15.35  																		| (310) e4 = e2
% 45.95/15.35  																		|
% 45.95/15.35  																		| Equations (310) can reduce 79 to:
% 45.95/15.35  																		| (311) $false
% 45.95/15.35  																		|
% 45.95/15.35  																		|-The branch is then unsatisfiable
% 45.95/15.35  																	|-Branch two:
% 45.95/15.35  																	| (1761)  ~ (all_0_94_94 = e2)
% 45.95/15.35  																	| (1762) all_0_95_95 = e2 | all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 45.95/15.35  																	|
% 45.95/15.35  																		+-Applying beta-rule and splitting (1762), into two cases.
% 45.95/15.35  																		|-Branch one:
% 45.95/15.35  																		| (767) all_0_95_95 = e2
% 45.95/15.35  																		|
% 45.95/15.35  																			| Equations (767) can reduce 315 to:
% 45.95/15.35  																			| (528)  ~ (e4 = e2)
% 45.95/15.35  																			|
% 45.95/15.35  																			| Simplifying 528 yields:
% 45.95/15.35  																			| (79)  ~ (e4 = e2)
% 45.95/15.35  																			|
% 45.95/15.35  																			| Equations (767) can reduce 893 to:
% 45.95/15.35  																			| (76)  ~ (e2 = e0)
% 45.95/15.35  																			|
% 45.95/15.35  																			| From (767) and (121) follows:
% 45.95/15.35  																			| (13435) op(e3, e2) = all_0_50_50
% 45.95/15.35  																			|
% 45.95/15.35  																			+-Applying beta-rule and splitting (188), into two cases.
% 45.95/15.35  																			|-Branch one:
% 45.95/15.35  																			| (676) all_0_78_78 = e1
% 45.95/15.35  																			|
% 45.95/15.35  																				| Equations (676) can reduce 1601 to:
% 45.95/15.35  																				| (311) $false
% 45.95/15.35  																				|
% 45.95/15.35  																				|-The branch is then unsatisfiable
% 45.95/15.35  																			|-Branch two:
% 45.95/15.35  																			| (1601)  ~ (all_0_78_78 = e1)
% 45.95/15.35  																			| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 45.95/15.35  																			|
% 45.95/15.35  																				+-Applying beta-rule and splitting (1718), into two cases.
% 45.95/15.35  																				|-Branch one:
% 45.95/15.35  																				| (384) all_0_86_86 = e1
% 45.95/15.35  																				|
% 45.95/15.35  																					| Combining equations (384,378) yields a new equation:
% 45.95/15.35  																					| (1107) e1 = e0
% 45.95/15.35  																					|
% 45.95/15.35  																					| Simplifying 1107 yields:
% 45.95/15.35  																					| (865) e1 = e0
% 45.95/15.35  																					|
% 45.95/15.35  																					| Equations (865) can reduce 264 to:
% 45.95/15.35  																					| (311) $false
% 45.95/15.35  																					|
% 45.95/15.35  																					|-The branch is then unsatisfiable
% 45.95/15.35  																				|-Branch two:
% 45.95/15.35  																				| (387)  ~ (all_0_86_86 = e1)
% 45.95/15.35  																				| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 45.95/15.35  																				|
% 45.95/15.35  																					+-Applying beta-rule and splitting (176), into two cases.
% 45.95/15.35  																					|-Branch one:
% 45.95/15.35  																					| (785) all_0_95_95 = e1
% 45.95/15.35  																					|
% 45.95/15.35  																						| Combining equations (785,767) yields a new equation:
% 45.95/15.35  																						| (385) e2 = e1
% 45.95/15.35  																						|
% 45.95/15.35  																						| Equations (385) can reduce 243 to:
% 45.95/15.35  																						| (311) $false
% 45.95/15.35  																						|
% 45.95/15.35  																						|-The branch is then unsatisfiable
% 45.95/15.35  																					|-Branch two:
% 45.95/15.35  																					| (680)  ~ (all_0_95_95 = e1)
% 45.95/15.35  																					| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 45.95/15.35  																					|
% 45.95/15.35  																						| Equations (767) can reduce 680 to:
% 45.95/15.35  																						| (243)  ~ (e2 = e1)
% 45.95/15.35  																						|
% 45.95/15.35  																						+-Applying beta-rule and splitting (2122), into two cases.
% 45.95/15.35  																						|-Branch one:
% 45.95/15.35  																						| (750) all_0_90_90 = e1
% 45.95/15.35  																						|
% 45.95/15.35  																							| Equations (750) can reduce 85 to:
% 45.95/15.35  																							| (1601)  ~ (all_0_78_78 = e1)
% 45.95/15.35  																							|
% 45.95/15.35  																							| From (750) and (217) follows:
% 45.95/15.35  																							| (10289) op(e3, e1) = all_0_48_48
% 45.95/15.35  																							|
% 45.95/15.35  																							| Instantiating formula (262) with e3, e2, all_0_55_55, all_0_50_50 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = all_0_55_55, yields:
% 45.95/15.35  																							| (13436) all_0_50_50 = all_0_55_55
% 45.95/15.35  																							|
% 45.95/15.35  																							| Instantiating formula (262) with e3, e2, e2, all_0_50_50 and discharging atoms op(e3, e2) = all_0_50_50, op(e3, e2) = e2, yields:
% 45.95/15.35  																							| (13437) all_0_50_50 = e2
% 45.95/15.35  																							|
% 45.95/15.35  																							| Instantiating formula (262) with e3, e1, all_0_48_48, all_0_84_84 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = all_0_84_84, yields:
% 45.95/15.35  																							| (13466) all_0_48_48 = all_0_84_84
% 45.95/15.35  																							|
% 45.95/15.35  																							| Combining equations (13437,13436) yields a new equation:
% 45.95/15.35  																							| (12242) all_0_55_55 = e2
% 45.95/15.35  																							|
% 45.95/15.35  																							| Combining equations (12242,13436) yields a new equation:
% 45.95/15.35  																							| (13437) all_0_50_50 = e2
% 45.95/15.35  																							|
% 45.95/15.35  																							+-Applying beta-rule and splitting (186), into two cases.
% 45.95/15.35  																							|-Branch one:
% 45.95/15.35  																							| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 45.95/15.35  																							|
% 45.95/15.35  																								+-Applying beta-rule and splitting (726), into two cases.
% 45.95/15.35  																								|-Branch one:
% 45.95/15.35  																								| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 45.95/15.35  																								|
% 45.95/15.35  																									+-Applying beta-rule and splitting (727), into two cases.
% 45.95/15.35  																									|-Branch one:
% 45.95/15.35  																									| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 45.95/15.35  																									|
% 45.95/15.35  																										| Applying alpha-rule on (728) yields:
% 45.95/15.35  																										| (729) all_0_43_43 = e4
% 45.95/15.35  																										| (730)  ~ (all_0_44_44 = e3)
% 45.95/15.35  																										|
% 45.95/15.35  																										| From (729) and (138) follows:
% 45.95/15.35  																										| (30304) op(e3, all_0_78_78) = e4
% 45.95/15.35  																										|
% 45.95/15.35  																										+-Applying beta-rule and splitting (56), into two cases.
% 45.95/15.35  																										|-Branch one:
% 45.95/15.35  																										| (463) all_0_78_78 = e4
% 45.95/15.35  																										|
% 45.95/15.35  																											| Equations (463) can reduce 1601 to:
% 45.95/15.35  																											| (256)  ~ (e4 = e1)
% 45.95/15.35  																											|
% 45.95/15.35  																											| From (463) and (30304) follows:
% 45.95/15.36  																											| (30307) op(e3, e4) = e4
% 45.95/15.36  																											|
% 45.95/15.36  																											| Instantiating formula (262) with e3, e4, e4, e1 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e1, yields:
% 45.95/15.36  																											| (814) e4 = e1
% 45.95/15.36  																											|
% 45.95/15.36  																											| Equations (814) can reduce 256 to:
% 45.95/15.36  																											| (311) $false
% 45.95/15.36  																											|
% 45.95/15.36  																											|-The branch is then unsatisfiable
% 45.95/15.36  																										|-Branch two:
% 45.95/15.36  																										| (640)  ~ (all_0_78_78 = e4)
% 45.95/15.36  																										| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 45.95/15.36  																										|
% 45.95/15.36  																											+-Applying beta-rule and splitting (641), into two cases.
% 45.95/15.36  																											|-Branch one:
% 45.95/15.36  																											| (433) all_0_80_80 = e4
% 45.95/15.36  																											|
% 45.95/15.36  																												| Combining equations (546,433) yields a new equation:
% 45.95/15.36  																												| (310) e4 = e2
% 45.95/15.36  																												|
% 45.95/15.36  																												| Equations (310) can reduce 79 to:
% 45.95/15.36  																												| (311) $false
% 45.95/15.36  																												|
% 45.95/15.36  																												|-The branch is then unsatisfiable
% 45.95/15.36  																											|-Branch two:
% 45.95/15.36  																											| (436)  ~ (all_0_80_80 = e4)
% 45.95/15.36  																											| (638) all_0_81_81 = e4
% 45.95/15.36  																											|
% 45.95/15.36  																												+-Applying beta-rule and splitting (106), into two cases.
% 45.95/15.36  																												|-Branch one:
% 45.95/15.36  																												| (771) all_0_78_78 = e3
% 45.95/15.36  																												|
% 45.95/15.36  																													| From (771) and (104) follows:
% 45.95/15.36  																													| (13158) op(e4, e3) = all_0_44_44
% 45.95/15.36  																													|
% 45.95/15.36  																													| From (771) and (263) follows:
% 45.95/15.36  																													| (3281) op(e4, e3) = e3
% 45.95/15.36  																													|
% 45.95/15.36  																													| Instantiating formula (262) with e4, e3, e3, all_0_44_44 and discharging atoms op(e4, e3) = all_0_44_44, op(e4, e3) = e3, yields:
% 45.95/15.36  																													| (13235) all_0_44_44 = e3
% 45.95/15.36  																													|
% 45.95/15.36  																													| Equations (13235) can reduce 730 to:
% 45.95/15.36  																													| (311) $false
% 45.95/15.36  																													|
% 45.95/15.36  																													|-The branch is then unsatisfiable
% 45.95/15.36  																												|-Branch two:
% 45.95/15.36  																												| (418)  ~ (all_0_78_78 = e3)
% 45.95/15.36  																												| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 45.95/15.36  																												|
% 45.95/15.36  																													+-Applying beta-rule and splitting (1756), into two cases.
% 45.95/15.36  																													|-Branch one:
% 45.95/15.36  																													| (1708) all_0_79_79 = e3
% 45.95/15.36  																													|
% 45.95/15.36  																														| Combining equations (457,1708) yields a new equation:
% 45.95/15.36  																														| (772) e3 = e1
% 45.95/15.36  																														|
% 45.95/15.36  																														| Equations (772) can reduce 20 to:
% 45.95/15.36  																														| (311) $false
% 45.95/15.36  																														|
% 45.95/15.36  																														|-The branch is then unsatisfiable
% 45.95/15.36  																													|-Branch two:
% 45.95/15.36  																													| (1711)  ~ (all_0_79_79 = e3)
% 45.95/15.36  																													| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 45.95/15.36  																													|
% 45.95/15.36  																														+-Applying beta-rule and splitting (1768), into two cases.
% 45.95/15.36  																														|-Branch one:
% 45.95/15.36  																														| (416) all_0_80_80 = e3
% 45.95/15.36  																														|
% 45.95/15.36  																															| Combining equations (546,416) yields a new equation:
% 45.95/15.36  																															| (548) e3 = e2
% 45.95/15.36  																															|
% 45.95/15.36  																															| Equations (548) can reduce 169 to:
% 45.95/15.36  																															| (311) $false
% 45.95/15.36  																															|
% 45.95/15.36  																															|-The branch is then unsatisfiable
% 45.95/15.36  																														|-Branch two:
% 45.95/15.36  																														| (2347)  ~ (all_0_80_80 = e3)
% 45.95/15.36  																														| (635) all_0_81_81 = e3
% 45.95/15.36  																														|
% 45.95/15.36  																															| Combining equations (638,635) yields a new equation:
% 45.95/15.36  																															| (790) e4 = e3
% 45.95/15.36  																															|
% 45.95/15.36  																															| Simplifying 790 yields:
% 45.95/15.36  																															| (434) e4 = e3
% 45.95/15.36  																															|
% 45.95/15.36  																															| Equations (434) can reduce 177 to:
% 45.95/15.36  																															| (311) $false
% 45.95/15.36  																															|
% 45.95/15.36  																															|-The branch is then unsatisfiable
% 45.95/15.36  																									|-Branch two:
% 45.95/15.36  																									| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 45.95/15.36  																									|
% 45.95/15.36  																										| Applying alpha-rule on (734) yields:
% 45.95/15.36  																										| (735) all_0_46_46 = e2
% 45.95/15.36  																										| (736)  ~ (all_0_47_47 = e3)
% 45.95/15.36  																										|
% 45.95/15.36  																										| Combining equations (735,9576) yields a new equation:
% 45.95/15.36  																										| (512) all_0_85_85 = e2
% 45.95/15.36  																										|
% 45.95/15.36  																										| Equations (512) can reduce 515 to:
% 45.95/15.36  																										| (311) $false
% 45.95/15.36  																										|
% 45.95/15.36  																										|-The branch is then unsatisfiable
% 45.95/15.36  																								|-Branch two:
% 45.95/15.36  																								| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 45.95/15.36  																								|
% 45.95/15.36  																									| Applying alpha-rule on (740) yields:
% 45.95/15.36  																									| (741) all_0_48_48 = e1
% 45.95/15.36  																									| (742)  ~ (all_0_49_49 = e3)
% 45.95/15.36  																									|
% 45.95/15.36  																									| Combining equations (741,13466) yields a new equation:
% 45.95/15.36  																									| (13483) all_0_84_84 = e1
% 45.95/15.36  																									|
% 45.95/15.36  																									| Equations (13483) can reduce 259 to:
% 45.95/15.36  																									| (311) $false
% 45.95/15.36  																									|
% 45.95/15.36  																									|-The branch is then unsatisfiable
% 45.95/15.36  																							|-Branch two:
% 45.95/15.36  																							| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 45.95/15.36  																							|
% 45.95/15.36  																								| Applying alpha-rule on (973) yields:
% 45.95/15.36  																								| (974) all_0_50_50 = e0
% 45.95/15.36  																								| (975)  ~ (all_0_51_51 = e3)
% 45.95/15.36  																								|
% 45.95/15.36  																								| Combining equations (13437,974) yields a new equation:
% 45.95/15.36  																								| (923) e2 = e0
% 45.95/15.36  																								|
% 45.95/15.36  																								| Simplifying 923 yields:
% 45.95/15.36  																								| (379) e2 = e0
% 45.95/15.36  																								|
% 45.95/15.36  																								| Equations (379) can reduce 76 to:
% 45.95/15.36  																								| (311) $false
% 45.95/15.36  																								|
% 45.95/15.36  																								|-The branch is then unsatisfiable
% 45.95/15.36  																						|-Branch two:
% 45.95/15.36  																						| (678)  ~ (all_0_90_90 = e1)
% 45.95/15.36  																						| (785) all_0_95_95 = e1
% 45.95/15.36  																						|
% 45.95/15.36  																							| Combining equations (785,767) yields a new equation:
% 45.95/15.36  																							| (385) e2 = e1
% 45.95/15.36  																							|
% 45.95/15.36  																							| Equations (385) can reduce 243 to:
% 45.95/15.36  																							| (311) $false
% 45.95/15.36  																							|
% 45.95/15.36  																							|-The branch is then unsatisfiable
% 45.95/15.36  																		|-Branch two:
% 45.95/15.36  																		| (355)  ~ (all_0_95_95 = e2)
% 45.95/15.36  																		| (1772) all_0_96_96 = e2 | all_0_97_97 = e2 | all_0_98_98 = e2
% 45.95/15.36  																		|
% 45.95/15.36  																			+-Applying beta-rule and splitting (1772), into two cases.
% 45.95/15.36  																			|-Branch one:
% 45.95/15.36  																			| (1704) all_0_96_96 = e2
% 45.95/15.36  																			|
% 45.95/15.36  																				| Equations (1704) can reduce 1638 to:
% 45.95/15.36  																				| (311) $false
% 45.95/15.36  																				|
% 45.95/15.36  																				|-The branch is then unsatisfiable
% 45.95/15.36  																			|-Branch two:
% 45.95/15.36  																			| (1638)  ~ (all_0_96_96 = e2)
% 45.95/15.36  																			| (1783) all_0_97_97 = e2 | all_0_98_98 = e2
% 45.95/15.36  																			|
% 45.95/15.36  																				+-Applying beta-rule and splitting (1783), into two cases.
% 45.95/15.36  																				|-Branch one:
% 45.95/15.36  																				| (538) all_0_97_97 = e2
% 45.95/15.36  																				|
% 45.95/15.36  																					| Equations (538) can reduce 527 to:
% 45.95/15.36  																					| (311) $false
% 45.95/15.36  																					|
% 45.95/15.36  																					|-The branch is then unsatisfiable
% 45.95/15.36  																				|-Branch two:
% 45.95/15.36  																				| (527)  ~ (all_0_97_97 = e2)
% 45.95/15.36  																				| (525) all_0_98_98 = e2
% 45.95/15.36  																				|
% 45.95/15.36  																					| Equations (525) can reduce 1349 to:
% 45.95/15.36  																					| (311) $false
% 45.95/15.36  																					|
% 45.95/15.36  																					|-The branch is then unsatisfiable
% 45.95/15.36  																|-Branch two:
% 45.95/15.36  																| (398)  ~ (all_0_83_83 = e2)
% 45.95/15.36  																| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 45.95/15.36  																|
% 45.95/15.36  																	+-Applying beta-rule and splitting (41), into two cases.
% 45.95/15.36  																	|-Branch one:
% 45.95/15.36  																	| (530) all_0_82_82 = e2
% 45.95/15.36  																	|
% 45.95/15.36  																		| Equations (530) can reduce 116 to:
% 45.95/15.36  																		| (397)  ~ (all_0_83_83 = e2)
% 45.95/15.36  																		|
% 45.95/15.36  																		| Simplifying 397 yields:
% 45.95/15.36  																		| (398)  ~ (all_0_83_83 = e2)
% 45.95/15.36  																		|
% 45.95/15.36  																		| Equations (530) can reduce 198 to:
% 45.95/15.36  																		| (243)  ~ (e2 = e1)
% 45.95/15.36  																		|
% 45.95/15.36  																		| Equations (530) can reduce 914 to:
% 45.95/15.36  																		| (76)  ~ (e2 = e0)
% 45.95/15.36  																		|
% 45.95/15.36  																		+-Applying beta-rule and splitting (248), into two cases.
% 45.95/15.36  																		|-Branch one:
% 45.95/15.36  																		| (390) all_0_79_79 = e2
% 45.95/15.36  																		|
% 45.95/15.36  																			| Combining equations (457,390) yields a new equation:
% 45.95/15.36  																			| (385) e2 = e1
% 45.95/15.36  																			|
% 45.95/15.36  																			| Equations (385) can reduce 243 to:
% 45.95/15.36  																			| (311) $false
% 45.95/15.36  																			|
% 45.95/15.36  																			|-The branch is then unsatisfiable
% 45.95/15.36  																		|-Branch two:
% 45.95/15.36  																		| (1622)  ~ (all_0_79_79 = e2)
% 45.95/15.36  																		| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 45.95/15.36  																		|
% 45.95/15.36  																			+-Applying beta-rule and splitting (1627), into two cases.
% 45.95/15.36  																			|-Branch one:
% 45.95/15.36  																			| (453) all_0_83_83 = e2
% 45.95/15.36  																			|
% 45.95/15.36  																				| Equations (453) can reduce 398 to:
% 45.95/15.36  																				| (311) $false
% 45.95/15.36  																				|
% 45.95/15.36  																				|-The branch is then unsatisfiable
% 45.95/15.36  																			|-Branch two:
% 45.95/15.36  																			| (398)  ~ (all_0_83_83 = e2)
% 45.95/15.36  																			| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 45.95/15.36  																			|
% 45.95/15.36  																				+-Applying beta-rule and splitting (8061), into two cases.
% 45.95/15.36  																				|-Branch one:
% 45.95/15.36  																				| (1723) all_0_91_91 = e2
% 45.95/15.36  																				|
% 45.95/15.36  																					| Equations (1723) can reduce 296 to:
% 45.95/15.36  																					| (311) $false
% 45.95/15.36  																					|
% 45.95/15.36  																					|-The branch is then unsatisfiable
% 45.95/15.36  																				|-Branch two:
% 45.95/15.36  																				| (296)  ~ (all_0_91_91 = e2)
% 45.95/15.36  																				| (1704) all_0_96_96 = e2
% 45.95/15.36  																				|
% 45.95/15.36  																					| Equations (1704) can reduce 64 to:
% 45.95/15.36  																					| (296)  ~ (all_0_91_91 = e2)
% 45.95/15.36  																					|
% 45.95/15.36  																					| Equations (1704) can reduce 1479 to:
% 45.95/15.36  																					| (243)  ~ (e2 = e1)
% 45.95/15.36  																					|
% 45.95/15.36  																					| From (1704) and (58) follows:
% 45.95/15.36  																					| (8073) op(e2, e2) = all_0_35_35
% 45.95/15.36  																					|
% 45.95/15.36  																					| From (1704) and (88) follows:
% 45.95/15.36  																					| (8074) op(e2, e0) = all_0_34_34
% 45.95/15.36  																					|
% 45.95/15.36  																					| From (1704) and (212) follows:
% 45.95/15.36  																					| (8075) op(e2, e2) = all_0_58_58
% 45.95/15.36  																					|
% 45.95/15.36  																					| Instantiating formula (262) with e2, e2, all_0_35_35, e4 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = e4, yields:
% 45.95/15.36  																					| (8078) all_0_35_35 = e4
% 45.95/15.36  																					|
% 45.95/15.36  																					| Instantiating formula (262) with e2, e2, all_0_58_58, all_0_35_35 and discharging atoms op(e2, e2) = all_0_35_35, op(e2, e2) = all_0_58_58, yields:
% 45.95/15.36  																					| (8079) all_0_35_35 = all_0_58_58
% 45.95/15.36  																					|
% 45.95/15.36  																					| Instantiating formula (262) with e2, e0, all_0_34_34, e2 and discharging atoms op(e2, e0) = all_0_34_34, op(e2, e0) = e2, yields:
% 45.95/15.36  																					| (3939) all_0_34_34 = e2
% 45.95/15.36  																					|
% 45.95/15.37  																					| Combining equations (8078,8079) yields a new equation:
% 45.95/15.37  																					| (8082) all_0_58_58 = e4
% 45.95/15.37  																					|
% 45.95/15.37  																					| From (3939) and (8074) follows:
% 45.95/15.37  																					| (18818) op(e2, e0) = e2
% 45.95/15.37  																					|
% 45.95/15.37  																					+-Applying beta-rule and splitting (219), into two cases.
% 45.95/15.37  																					|-Branch one:
% 45.95/15.37  																					| (798) all_0_83_83 = e0
% 45.95/15.37  																					|
% 45.95/15.37  																						| Equations (798) can reduce 155 to:
% 45.95/15.37  																						| (904)  ~ (e4 = e0)
% 45.95/15.37  																						|
% 45.95/15.37  																						| Simplifying 904 yields:
% 45.95/15.37  																						| (23)  ~ (e4 = e0)
% 45.95/15.37  																						|
% 45.95/15.37  																						| Equations (798) can reduce 113 to:
% 45.95/15.37  																						| (859)  ~ (e1 = e0)
% 45.95/15.37  																						|
% 45.95/15.37  																						| Simplifying 859 yields:
% 45.95/15.37  																						| (264)  ~ (e1 = e0)
% 45.95/15.37  																						|
% 45.95/15.37  																						| From (798) and (206) follows:
% 45.95/15.37  																						| (8092) op(e2, e0) = all_0_54_54
% 45.95/15.37  																						|
% 45.95/15.37  																						+-Applying beta-rule and splitting (284), into two cases.
% 45.95/15.37  																						|-Branch one:
% 45.95/15.37  																						| (1723) all_0_91_91 = e2
% 45.95/15.37  																						|
% 45.95/15.37  																							| Equations (1723) can reduce 296 to:
% 45.95/15.37  																							| (311) $false
% 45.95/15.37  																							|
% 45.95/15.37  																							|-The branch is then unsatisfiable
% 45.95/15.37  																						|-Branch two:
% 45.95/15.37  																						| (296)  ~ (all_0_91_91 = e2)
% 45.95/15.37  																						| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 45.95/15.37  																						|
% 45.95/15.37  																							+-Applying beta-rule and splitting (285), into two cases.
% 45.95/15.37  																							|-Branch one:
% 45.95/15.37  																							| (1708) all_0_79_79 = e3
% 45.95/15.37  																							|
% 45.95/15.37  																								| Combining equations (457,1708) yields a new equation:
% 45.95/15.37  																								| (772) e3 = e1
% 45.95/15.37  																								|
% 45.95/15.37  																								| Equations (772) can reduce 20 to:
% 45.95/15.37  																								| (311) $false
% 45.95/15.37  																								|
% 45.95/15.37  																								|-The branch is then unsatisfiable
% 45.95/15.37  																							|-Branch two:
% 45.95/15.37  																							| (1711)  ~ (all_0_79_79 = e3)
% 45.95/15.37  																							| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 45.95/15.37  																							|
% 45.95/15.37  																								+-Applying beta-rule and splitting (1712), into two cases.
% 45.95/15.37  																								|-Branch one:
% 45.95/15.37  																								| (795) all_0_83_83 = e3
% 45.95/15.37  																								|
% 45.95/15.37  																									| Combining equations (798,795) yields a new equation:
% 45.95/15.37  																									| (600) e3 = e0
% 45.95/15.37  																									|
% 45.95/15.37  																									| Equations (600) can reduce 50 to:
% 45.95/15.37  																									| (311) $false
% 45.95/15.37  																									|
% 45.95/15.37  																									|-The branch is then unsatisfiable
% 45.95/15.37  																								|-Branch two:
% 45.95/15.37  																								| (779)  ~ (all_0_83_83 = e3)
% 45.95/15.37  																								| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 45.95/15.37  																								|
% 45.95/15.37  																									+-Applying beta-rule and splitting (1842), into two cases.
% 45.95/15.37  																									|-Branch one:
% 45.95/15.37  																									| (588) all_0_91_91 = e3
% 45.95/15.37  																									|
% 45.95/15.37  																										| Equations (588) can reduce 296 to:
% 45.95/15.37  																										| (169)  ~ (e3 = e2)
% 45.95/15.37  																										|
% 45.95/15.37  																										| From (588) and (222) follows:
% 45.95/15.37  																										| (8109) op(e2, e3) = all_0_56_56
% 45.95/15.37  																										|
% 45.95/15.37  																										| Instantiating formula (262) with e2, e3, all_0_56_56, e0 and discharging atoms op(e2, e3) = all_0_56_56, op(e2, e3) = e0, yields:
% 45.95/15.37  																										| (10959) all_0_56_56 = e0
% 45.95/15.37  																										|
% 45.95/15.37  																										| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 45.95/15.37  																										| (8281) all_0_54_54 = e2
% 45.95/15.37  																										|
% 45.95/15.37  																										+-Applying beta-rule and splitting (33), into two cases.
% 45.95/15.37  																										|-Branch one:
% 45.95/15.37  																										| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.95/15.37  																										|
% 45.95/15.37  																											+-Applying beta-rule and splitting (1686), into two cases.
% 45.95/15.37  																											|-Branch one:
% 45.95/15.37  																											| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.95/15.37  																											|
% 45.95/15.37  																												+-Applying beta-rule and splitting (1687), into two cases.
% 45.95/15.37  																												|-Branch one:
% 45.95/15.37  																												| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.95/15.37  																												|
% 45.95/15.37  																													| Applying alpha-rule on (1688) yields:
% 45.95/15.37  																													| (1689) all_0_52_52 = e4
% 45.95/15.37  																													| (1690)  ~ (all_0_53_53 = e2)
% 45.95/15.37  																													|
% 45.95/15.37  																													| Combining equations (15841,1689) yields a new equation:
% 45.95/15.37  																													| (814) e4 = e1
% 45.95/15.37  																													|
% 45.95/15.37  																													| Equations (814) can reduce 256 to:
% 45.95/15.37  																													| (311) $false
% 45.95/15.37  																													|
% 45.95/15.37  																													|-The branch is then unsatisfiable
% 45.95/15.37  																												|-Branch two:
% 45.95/15.37  																												| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.95/15.37  																												|
% 45.95/15.37  																													| Applying alpha-rule on (1694) yields:
% 45.95/15.37  																													| (1695) all_0_54_54 = e3
% 45.95/15.37  																													| (1696)  ~ (all_0_55_55 = e2)
% 45.95/15.37  																													|
% 45.95/15.37  																													| Combining equations (8281,1695) yields a new equation:
% 45.95/15.37  																													| (548) e3 = e2
% 45.95/15.37  																													|
% 45.95/15.37  																													| Equations (548) can reduce 169 to:
% 45.95/15.37  																													| (311) $false
% 45.95/15.37  																													|
% 45.95/15.37  																													|-The branch is then unsatisfiable
% 45.95/15.37  																											|-Branch two:
% 45.95/15.37  																											| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.95/15.37  																											|
% 45.95/15.37  																												| Applying alpha-rule on (1700) yields:
% 45.95/15.37  																												| (1701) all_0_56_56 = e1
% 45.95/15.37  																												| (1702)  ~ (all_0_57_57 = e2)
% 45.95/15.37  																												|
% 45.95/15.37  																												| Combining equations (10959,1701) yields a new equation:
% 45.95/15.37  																												| (865) e1 = e0
% 45.95/15.37  																												|
% 45.95/15.37  																												| Equations (865) can reduce 264 to:
% 45.95/15.37  																												| (311) $false
% 45.95/15.37  																												|
% 45.95/15.37  																												|-The branch is then unsatisfiable
% 45.95/15.37  																										|-Branch two:
% 45.95/15.37  																										| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.95/15.37  																										|
% 45.95/15.37  																											| Applying alpha-rule on (4957) yields:
% 45.95/15.37  																											| (4958) all_0_58_58 = e0
% 45.95/15.37  																											| (4959)  ~ (all_0_59_59 = e2)
% 45.95/15.37  																											|
% 45.95/15.37  																											| Combining equations (8082,4958) yields a new equation:
% 45.95/15.37  																											| (911) e4 = e0
% 45.95/15.37  																											|
% 45.95/15.37  																											| Simplifying 911 yields:
% 45.95/15.37  																											| (912) e4 = e0
% 45.95/15.37  																											|
% 45.95/15.37  																											| Equations (912) can reduce 23 to:
% 45.95/15.37  																											| (311) $false
% 45.95/15.37  																											|
% 45.95/15.37  																											|-The branch is then unsatisfiable
% 45.95/15.37  																									|-Branch two:
% 45.95/15.37  																									| (571)  ~ (all_0_91_91 = e3)
% 45.95/15.37  																									| (778) all_0_96_96 = e3
% 45.95/15.37  																									|
% 45.95/15.37  																										| Combining equations (778,1704) yields a new equation:
% 45.95/15.37  																										| (547) e3 = e2
% 45.95/15.37  																										|
% 45.95/15.37  																										| Simplifying 547 yields:
% 45.95/15.37  																										| (548) e3 = e2
% 45.95/15.37  																										|
% 45.95/15.37  																										| Equations (548) can reduce 169 to:
% 45.95/15.37  																										| (311) $false
% 45.95/15.37  																										|
% 45.95/15.37  																										|-The branch is then unsatisfiable
% 45.95/15.37  																					|-Branch two:
% 45.95/15.37  																					| (1314)  ~ (all_0_83_83 = e0)
% 45.95/15.37  																					| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 45.95/15.37  																					|
% 45.95/15.37  																						+-Applying beta-rule and splitting (456), into two cases.
% 45.95/15.37  																						|-Branch one:
% 45.95/15.37  																						| (795) all_0_83_83 = e3
% 45.95/15.37  																						|
% 45.95/15.37  																							| Equations (795) can reduce 146 to:
% 45.95/15.37  																							| (1298)  ~ (all_0_91_91 = e3)
% 45.95/15.37  																							|
% 45.95/15.37  																							| Simplifying 1298 yields:
% 45.95/15.37  																							| (571)  ~ (all_0_91_91 = e3)
% 45.95/15.37  																							|
% 45.95/15.37  																							| From (795) and (206) follows:
% 45.95/15.37  																							| (8280) op(e2, e3) = all_0_54_54
% 45.95/15.37  																							|
% 45.95/15.37  																							+-Applying beta-rule and splitting (1400), into two cases.
% 45.95/15.37  																							|-Branch one:
% 45.95/15.37  																							| (1456) all_0_91_91 = e0
% 45.95/15.37  																							|
% 45.95/15.37  																								| Equations (1456) can reduce 133 to:
% 45.95/15.37  																								| (904)  ~ (e4 = e0)
% 45.95/15.37  																								|
% 45.95/15.37  																								| Simplifying 904 yields:
% 45.95/15.37  																								| (23)  ~ (e4 = e0)
% 45.95/15.37  																								|
% 45.95/15.37  																								| Equations (1456) can reduce 571 to:
% 45.95/15.37  																								| (906)  ~ (e3 = e0)
% 45.95/15.37  																								|
% 45.95/15.37  																								| Simplifying 906 yields:
% 45.95/15.37  																								| (50)  ~ (e3 = e0)
% 45.95/15.37  																								|
% 45.95/15.37  																								| From (1456) and (222) follows:
% 45.95/15.37  																								| (8259) op(e2, e0) = all_0_56_56
% 45.95/15.37  																								|
% 45.95/15.37  																								| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 45.95/15.37  																								| (12243) all_0_54_54 = e0
% 45.95/15.37  																								|
% 45.95/15.37  																								| Instantiating formula (262) with e2, e0, all_0_56_56, e2 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e2, yields:
% 45.95/15.37  																								| (8110) all_0_56_56 = e2
% 45.95/15.37  																								|
% 45.95/15.37  																								+-Applying beta-rule and splitting (33), into two cases.
% 45.95/15.37  																								|-Branch one:
% 45.95/15.37  																								| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 45.95/15.37  																								|
% 45.95/15.37  																									+-Applying beta-rule and splitting (1686), into two cases.
% 45.95/15.37  																									|-Branch one:
% 45.95/15.37  																									| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 45.95/15.37  																									|
% 45.95/15.37  																										+-Applying beta-rule and splitting (1687), into two cases.
% 45.95/15.37  																										|-Branch one:
% 45.95/15.37  																										| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 45.95/15.37  																										|
% 45.95/15.37  																											| Applying alpha-rule on (1688) yields:
% 45.95/15.38  																											| (1689) all_0_52_52 = e4
% 45.95/15.38  																											| (1690)  ~ (all_0_53_53 = e2)
% 45.95/15.38  																											|
% 45.95/15.38  																											| Combining equations (15841,1689) yields a new equation:
% 45.95/15.38  																											| (814) e4 = e1
% 45.95/15.38  																											|
% 45.95/15.38  																											| Equations (814) can reduce 256 to:
% 45.95/15.38  																											| (311) $false
% 45.95/15.38  																											|
% 45.95/15.38  																											|-The branch is then unsatisfiable
% 45.95/15.38  																										|-Branch two:
% 45.95/15.38  																										| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 45.95/15.38  																										|
% 45.95/15.38  																											| Applying alpha-rule on (1694) yields:
% 45.95/15.38  																											| (1695) all_0_54_54 = e3
% 45.95/15.38  																											| (1696)  ~ (all_0_55_55 = e2)
% 45.95/15.38  																											|
% 45.95/15.38  																											| Combining equations (12243,1695) yields a new equation:
% 45.95/15.38  																											| (600) e3 = e0
% 45.95/15.38  																											|
% 45.95/15.38  																											| Equations (600) can reduce 50 to:
% 45.95/15.38  																											| (311) $false
% 45.95/15.38  																											|
% 45.95/15.38  																											|-The branch is then unsatisfiable
% 45.95/15.38  																									|-Branch two:
% 45.95/15.38  																									| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 45.95/15.38  																									|
% 45.95/15.38  																										| Applying alpha-rule on (1700) yields:
% 45.95/15.38  																										| (1701) all_0_56_56 = e1
% 45.95/15.38  																										| (1702)  ~ (all_0_57_57 = e2)
% 45.95/15.38  																										|
% 45.95/15.38  																										| Combining equations (8110,1701) yields a new equation:
% 45.95/15.38  																										| (408) e2 = e1
% 45.95/15.38  																										|
% 45.95/15.38  																										| Simplifying 408 yields:
% 45.95/15.38  																										| (385) e2 = e1
% 45.95/15.38  																										|
% 45.95/15.38  																										| Equations (385) can reduce 243 to:
% 45.95/15.38  																										| (311) $false
% 45.95/15.38  																										|
% 45.95/15.38  																										|-The branch is then unsatisfiable
% 45.95/15.38  																								|-Branch two:
% 45.95/15.38  																								| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 45.95/15.38  																								|
% 45.95/15.38  																									| Applying alpha-rule on (4957) yields:
% 45.95/15.38  																									| (4958) all_0_58_58 = e0
% 45.95/15.38  																									| (4959)  ~ (all_0_59_59 = e2)
% 45.95/15.38  																									|
% 45.95/15.38  																									| Combining equations (8082,4958) yields a new equation:
% 45.95/15.38  																									| (911) e4 = e0
% 45.95/15.38  																									|
% 45.95/15.38  																									| Simplifying 911 yields:
% 45.95/15.38  																									| (912) e4 = e0
% 45.95/15.38  																									|
% 45.95/15.38  																									| Equations (912) can reduce 23 to:
% 45.95/15.38  																									| (311) $false
% 45.95/15.38  																									|
% 45.95/15.38  																									|-The branch is then unsatisfiable
% 45.95/15.38  																							|-Branch two:
% 45.95/15.38  																							| (1487)  ~ (all_0_91_91 = e0)
% 45.95/15.38  																							| (1837) all_0_96_96 = e0
% 45.95/15.38  																							|
% 45.95/15.38  																								| Combining equations (1837,1704) yields a new equation:
% 45.95/15.38  																								| (379) e2 = e0
% 45.95/15.38  																								|
% 45.95/15.38  																								| Equations (379) can reduce 76 to:
% 45.95/15.38  																								| (311) $false
% 45.95/15.38  																								|
% 45.95/15.38  																								|-The branch is then unsatisfiable
% 45.95/15.38  																						|-Branch two:
% 45.95/15.38  																						| (779)  ~ (all_0_83_83 = e3)
% 45.95/15.38  																						| (798) all_0_83_83 = e0
% 45.95/15.38  																						|
% 45.95/15.38  																							| Equations (798) can reduce 1314 to:
% 45.95/15.38  																							| (311) $false
% 45.95/15.38  																							|
% 45.95/15.38  																							|-The branch is then unsatisfiable
% 45.95/15.38  																	|-Branch two:
% 45.95/15.38  																	| (347)  ~ (all_0_82_82 = e2)
% 45.95/15.38  																	| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 45.95/15.38  																	|
% 45.95/15.38  																		+-Applying beta-rule and splitting (533), into two cases.
% 45.95/15.38  																		|-Branch one:
% 45.95/15.38  																		| (453) all_0_83_83 = e2
% 45.95/15.38  																		|
% 45.95/15.38  																			| Equations (453) can reduce 398 to:
% 45.95/15.38  																			| (311) $false
% 45.95/15.38  																			|
% 45.95/15.38  																			|-The branch is then unsatisfiable
% 45.95/15.38  																		|-Branch two:
% 45.95/15.38  																		| (398)  ~ (all_0_83_83 = e2)
% 45.95/15.38  																		| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 45.95/15.38  																		|
% 45.95/15.38  																			+-Applying beta-rule and splitting (537), into two cases.
% 45.95/15.38  																			|-Branch one:
% 45.95/15.38  																			| (552) all_0_84_84 = e2
% 45.95/15.38  																			|
% 45.95/15.38  																				| Equations (552) can reduce 612 to:
% 45.95/15.38  																				| (311) $false
% 45.95/15.38  																				|
% 45.95/15.38  																				|-The branch is then unsatisfiable
% 45.95/15.38  																			|-Branch two:
% 45.95/15.38  																			| (612)  ~ (all_0_84_84 = e2)
% 45.95/15.38  																			| (512) all_0_85_85 = e2
% 45.95/15.38  																			|
% 45.95/15.38  																				| Equations (512) can reduce 515 to:
% 45.95/15.38  																				| (311) $false
% 45.95/15.38  																				|
% 45.95/15.38  																				|-The branch is then unsatisfiable
% 45.95/15.38  															|-Branch two:
% 45.95/15.38  															| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 45.95/15.38  															|
% 45.95/15.38  																| Applying alpha-rule on (411) yields:
% 45.95/15.38  																| (337) all_0_41_41 = e0
% 45.95/15.38  																| (413)  ~ (all_0_42_42 = e4)
% 45.95/15.38  																|
% 45.95/15.38  																| Equations (336) can reduce 413 to:
% 45.95/15.38  																| (311) $false
% 45.95/15.38  																|
% 45.95/15.38  																|-The branch is then unsatisfiable
% 45.95/15.38  														|-Branch two:
% 45.95/15.38  														| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 45.95/15.38  														|
% 45.95/15.38  															| Applying alpha-rule on (415) yields:
% 45.95/15.38  															| (416) all_0_80_80 = e3
% 45.95/15.38  															| (417)  ~ (all_0_84_84 = e4)
% 45.95/15.38  															|
% 45.95/15.38  															| Combining equations (546,416) yields a new equation:
% 45.95/15.38  															| (548) e3 = e2
% 45.95/15.38  															|
% 45.95/15.38  															| Equations (548) can reduce 169 to:
% 45.95/15.38  															| (311) $false
% 45.95/15.38  															|
% 45.95/15.38  															|-The branch is then unsatisfiable
% 45.95/15.38  												|-Branch two:
% 45.95/15.38  												| (394)  ~ (all_0_80_80 = e2)
% 45.95/15.38  												| (473) all_0_81_81 = e2
% 45.95/15.38  												|
% 45.95/15.38  													| Equations (473) can reduce 396 to:
% 45.95/15.38  													| (311) $false
% 45.95/15.38  													|
% 45.95/15.38  													|-The branch is then unsatisfiable
% 45.95/15.38  								|-Branch two:
% 45.95/15.38  								| (625)  ~ (all_0_87_87 = e1)
% 45.95/15.38  								| (861) all_0_87_87 = e0
% 45.95/15.38  								|
% 45.95/15.38  									| Equations (861) can reduce 889 to:
% 45.95/15.38  									| (311) $false
% 45.95/15.38  									|
% 45.95/15.38  									|-The branch is then unsatisfiable
% 45.95/15.38  |-Branch two:
% 45.95/15.38  | (30522)  ~ (all_0_89_89 = e2)
% 45.95/15.38  | (1757) all_0_94_94 = e2
% 45.95/15.38  |
% 45.95/15.38  	| Equations (1757) can reduce 53 to:
% 45.95/15.38  	| (30522)  ~ (all_0_89_89 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 55 to:
% 45.95/15.38  	| (354)  ~ (all_0_95_95 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Simplifying 354 yields:
% 45.95/15.38  	| (355)  ~ (all_0_95_95 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 40 to:
% 45.95/15.38  	| (1637)  ~ (all_0_96_96 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Simplifying 1637 yields:
% 45.95/15.38  	| (1638)  ~ (all_0_96_96 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 28 to:
% 45.95/15.38  	| (2376)  ~ (all_0_97_97 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Simplifying 2376 yields:
% 45.95/15.38  	| (527)  ~ (all_0_97_97 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 164 to:
% 45.95/15.38  	| (1348)  ~ (all_0_98_98 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Simplifying 1348 yields:
% 45.95/15.38  	| (1349)  ~ (all_0_98_98 = e2)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 131 to:
% 45.95/15.38  	| (243)  ~ (e2 = e1)
% 45.95/15.38  	|
% 45.95/15.38  	| Equations (1757) can reduce 183 to:
% 45.95/15.38  	| (76)  ~ (e2 = e0)
% 45.95/15.38  	|
% 45.95/15.38  	| From (1757) and (199) follows:
% 45.95/15.39  	| (30535) op(e2, e4) = all_0_31_31
% 45.95/15.39  	|
% 45.95/15.39  	| From (1757) and (185) follows:
% 45.95/15.39  	| (30536) op(e2, e0) = all_0_30_30
% 45.95/15.39  	|
% 45.95/15.39  	| From (1757) and (152) follows:
% 45.95/15.39  	| (30537) op(e4, e2) = all_0_41_41
% 45.95/15.39  	|
% 45.95/15.39  	| From (1757) and (228) follows:
% 46.03/15.39  	| (30538) op(e0, e2) = all_0_42_42
% 46.03/15.39  	|
% 46.03/15.39  	| From (1757) and (180) follows:
% 46.03/15.39  	| (30539) op(e0, e4) = e2
% 46.03/15.39  	|
% 46.03/15.39  	+-Applying beta-rule and splitting (100), into two cases.
% 46.03/15.39  	|-Branch one:
% 46.03/15.39  	| (292) all_0_89_89 = e2
% 46.03/15.39  	|
% 46.03/15.39  		| Equations (292) can reduce 30522 to:
% 46.03/15.39  		| (311) $false
% 46.03/15.39  		|
% 46.03/15.39  		|-The branch is then unsatisfiable
% 46.03/15.39  	|-Branch two:
% 46.03/15.39  	| (30522)  ~ (all_0_89_89 = e2)
% 46.03/15.39  	| (308) all_0_89_89 = e4
% 46.03/15.39  	|
% 46.03/15.39  		| Equations (308) can reduce 215 to:
% 46.03/15.39  		| (466)  ~ (all_0_90_90 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Simplifying 466 yields:
% 46.03/15.39  		| (467)  ~ (all_0_90_90 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Equations (308) can reduce 247 to:
% 46.03/15.39  		| (3634)  ~ (all_0_91_91 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Simplifying 3634 yields:
% 46.03/15.39  		| (133)  ~ (all_0_91_91 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Equations (308) can reduce 179 to:
% 46.03/15.39  		| (1906)  ~ (all_0_92_92 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Simplifying 1906 yields:
% 46.03/15.39  		| (1619)  ~ (all_0_92_92 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Equations (308) can reduce 32 to:
% 46.03/15.39  		| (495)  ~ (all_0_93_93 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Simplifying 495 yields:
% 46.03/15.39  		| (496)  ~ (all_0_93_93 = e4)
% 46.03/15.39  		|
% 46.03/15.39  		| Equations (308) can reduce 261 to:
% 46.03/15.39  		| (177)  ~ (e4 = e3)
% 46.03/15.39  		|
% 46.03/15.39  		| From (308) and (189) follows:
% 46.03/15.39  		| (30553) op(e4, e4) = all_0_22_22
% 46.03/15.39  		|
% 46.03/15.39  		| From (308) and (175) follows:
% 46.03/15.39  		| (30554) op(e4, e1) = all_0_21_21
% 46.03/15.39  		|
% 46.03/15.39  		| From (308) and (126) follows:
% 46.03/15.39  		| (30555) op(e4, e4) = all_0_39_39
% 46.03/15.39  		|
% 46.03/15.39  		| From (308) and (60) follows:
% 46.03/15.39  		| (30556) op(e1, e4) = all_0_40_40
% 46.03/15.39  		|
% 46.03/15.39  		| From (308) and (165) follows:
% 46.03/15.40  		| (4743) op(e1, e4) = e4
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e4, e4, all_0_22_22, e0 and discharging atoms op(e4, e4) = all_0_22_22, op(e4, e4) = e0, yields:
% 46.03/15.40  		| (30558) all_0_22_22 = e0
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e4, e4, all_0_39_39, all_0_22_22 and discharging atoms op(e4, e4) = all_0_22_22, op(e4, e4) = all_0_39_39, yields:
% 46.03/15.40  		| (30559) all_0_22_22 = all_0_39_39
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e4, e2, all_0_41_41, all_0_79_79 and discharging atoms op(e4, e2) = all_0_41_41, op(e4, e2) = all_0_79_79, yields:
% 46.03/15.40  		| (30560) all_0_41_41 = all_0_79_79
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e4, e1, all_0_21_21, all_0_80_80 and discharging atoms op(e4, e1) = all_0_21_21, op(e4, e1) = all_0_80_80, yields:
% 46.03/15.40  		| (30561) all_0_21_21 = all_0_80_80
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e2, e4, all_0_31_31, e3 and discharging atoms op(e2, e4) = all_0_31_31, op(e2, e4) = e3, yields:
% 46.03/15.40  		| (30562) all_0_31_31 = e3
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e2, e0, all_0_30_30, all_0_88_88 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = all_0_88_88, yields:
% 46.03/15.40  		| (30563) all_0_30_30 = all_0_88_88
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e1, e4, e4, all_0_40_40 and discharging atoms op(e1, e4) = all_0_40_40, op(e1, e4) = e4, yields:
% 46.03/15.40  		| (30564) all_0_40_40 = e4
% 46.03/15.40  		|
% 46.03/15.40  		| Instantiating formula (262) with e0, e2, all_0_42_42, all_0_96_96 and discharging atoms op(e0, e2) = all_0_42_42, op(e0, e2) = all_0_96_96, yields:
% 46.03/15.40  		| (30565) all_0_42_42 = all_0_96_96
% 46.03/15.40  		|
% 46.03/15.40  		| Combining equations (30558,30559) yields a new equation:
% 46.03/15.41  		| (30566) all_0_39_39 = e0
% 46.03/15.41  		|
% 46.03/15.41  		| From (30560) and (30537) follows:
% 46.03/15.41  		| (267) op(e4, e2) = all_0_79_79
% 46.03/15.41  		|
% 46.03/15.41  		| From (30561) and (30554) follows:
% 46.03/15.41  		| (281) op(e4, e1) = all_0_80_80
% 46.03/15.41  		|
% 46.03/15.41  		| From (30562) and (30535) follows:
% 46.03/15.41  		| (172) op(e2, e4) = e3
% 46.03/15.41  		|
% 46.03/15.41  		| From (30563) and (30536) follows:
% 46.03/15.41  		| (230) op(e2, e0) = all_0_88_88
% 46.03/15.41  		|
% 46.03/15.41  		| From (30564) and (30556) follows:
% 46.03/15.41  		| (4743) op(e1, e4) = e4
% 46.03/15.41  		|
% 46.03/15.41  		| From (30565) and (30538) follows:
% 46.03/15.41  		| (59) op(e0, e2) = all_0_96_96
% 46.03/15.41  		|
% 46.03/15.41  		+-Applying beta-rule and splitting (143), into two cases.
% 46.03/15.41  		|-Branch one:
% 46.03/15.41  		| (390) all_0_79_79 = e2
% 46.03/15.41  		|
% 46.03/15.42  			| Combining equations (390,30560) yields a new equation:
% 46.03/15.42  			| (30574) all_0_41_41 = e2
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 66 to:
% 46.03/15.42  			| (346)  ~ (all_0_78_78 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 15 to:
% 46.03/15.42  			| (395)  ~ (all_0_81_81 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Simplifying 395 yields:
% 46.03/15.42  			| (396)  ~ (all_0_81_81 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 272 to:
% 46.03/15.42  			| (397)  ~ (all_0_83_83 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Simplifying 397 yields:
% 46.03/15.42  			| (398)  ~ (all_0_83_83 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 17 to:
% 46.03/15.42  			| (295)  ~ (all_0_91_91 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Simplifying 295 yields:
% 46.03/15.42  			| (296)  ~ (all_0_91_91 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 214 to:
% 46.03/15.42  			| (1637)  ~ (all_0_96_96 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Simplifying 1637 yields:
% 46.03/15.42  			| (1638)  ~ (all_0_96_96 = e2)
% 46.03/15.42  			|
% 46.03/15.42  			| Equations (390) can reduce 9 to:
% 46.03/15.42  			| (76)  ~ (e2 = e0)
% 46.03/15.42  			|
% 46.03/15.42  			| From (390) and (178) follows:
% 46.03/15.42  			| (30585) op(e2, e4) = all_0_2_2
% 46.03/15.42  			|
% 46.03/15.42  			| From (390) and (190) follows:
% 46.03/15.42  			| (24520) op(e4, e2) = all_0_53_53
% 46.03/15.42  			|
% 46.03/15.42  			| From (390) and (267) follows:
% 46.03/15.42  			| (24521) op(e4, e2) = e2
% 46.03/15.42  			|
% 46.03/15.42  			+-Applying beta-rule and splitting (70), into two cases.
% 46.03/15.42  			|-Branch one:
% 46.03/15.42  			| (400) all_0_78_78 = e2
% 46.03/15.42  			|
% 46.03/15.42  				| Equations (400) can reduce 346 to:
% 46.03/15.42  				| (311) $false
% 46.03/15.42  				|
% 46.03/15.42  				|-The branch is then unsatisfiable
% 46.03/15.42  			|-Branch two:
% 46.03/15.42  			| (346)  ~ (all_0_78_78 = e2)
% 46.03/15.42  			| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 46.03/15.42  			|
% 46.03/15.42  				+-Applying beta-rule and splitting (403), into two cases.
% 46.03/15.42  				|-Branch one:
% 46.03/15.42  				| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 46.03/15.42  				|
% 46.03/15.42  					+-Applying beta-rule and splitting (404), into two cases.
% 46.03/15.42  					|-Branch one:
% 46.03/15.42  					| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 46.03/15.42  					|
% 46.03/15.42  						| Applying alpha-rule on (405) yields:
% 46.03/15.42  						| (406) all_0_39_39 = e1
% 46.03/15.42  						| (407)  ~ (all_0_40_40 = e4)
% 46.03/15.42  						|
% 46.03/15.42  						| Combining equations (406,30566) yields a new equation:
% 46.03/15.42  						| (1107) e1 = e0
% 46.03/15.42  						|
% 46.03/15.42  						| Simplifying 1107 yields:
% 46.03/15.42  						| (865) e1 = e0
% 46.03/15.42  						|
% 46.03/15.42  						| Equations (865) can reduce 264 to:
% 46.03/15.42  						| (311) $false
% 46.03/15.42  						|
% 46.03/15.42  						|-The branch is then unsatisfiable
% 46.03/15.42  					|-Branch two:
% 46.03/15.42  					| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 46.03/15.42  					|
% 46.03/15.42  						| Applying alpha-rule on (411) yields:
% 46.03/15.42  						| (337) all_0_41_41 = e0
% 46.03/15.42  						| (413)  ~ (all_0_42_42 = e4)
% 46.03/15.42  						|
% 46.03/15.42  						| Combining equations (30574,337) yields a new equation:
% 46.03/15.42  						| (923) e2 = e0
% 46.03/15.42  						|
% 46.03/15.42  						| Simplifying 923 yields:
% 46.03/15.42  						| (379) e2 = e0
% 46.03/15.42  						|
% 46.03/15.42  						| Equations (379) can reduce 76 to:
% 46.03/15.42  						| (311) $false
% 46.03/15.42  						|
% 46.03/15.42  						|-The branch is then unsatisfiable
% 46.03/15.42  				|-Branch two:
% 46.03/15.42  				| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 46.03/15.42  				|
% 46.03/15.42  					| Applying alpha-rule on (415) yields:
% 46.03/15.42  					| (416) all_0_80_80 = e3
% 46.03/15.42  					| (417)  ~ (all_0_84_84 = e4)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 67 to:
% 46.03/15.42  					| (418)  ~ (all_0_78_78 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 144 to:
% 46.03/15.42  					| (419)  ~ (all_0_81_81 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Simplifying 419 yields:
% 46.03/15.42  					| (420)  ~ (all_0_81_81 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 273 to:
% 46.03/15.42  					| (421)  ~ (all_0_84_84 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Simplifying 421 yields:
% 46.03/15.42  					| (422)  ~ (all_0_84_84 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 73 to:
% 46.03/15.42  					| (423)  ~ (all_0_87_87 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Simplifying 423 yields:
% 46.03/15.42  					| (227)  ~ (all_0_87_87 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 49 to:
% 46.03/15.42  					| (425)  ~ (all_0_92_92 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Simplifying 425 yields:
% 46.03/15.42  					| (426)  ~ (all_0_92_92 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Equations (416) can reduce 202 to:
% 46.03/15.42  					| (427)  ~ (all_0_97_97 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| Simplifying 427 yields:
% 46.03/15.42  					| (428)  ~ (all_0_97_97 = e3)
% 46.03/15.42  					|
% 46.03/15.42  					| From (416) and (204) follows:
% 46.03/15.42  					| (30619) op(e3, e4) = all_0_4_4
% 46.03/15.42  					|
% 46.03/15.42  					| From (416) and (117) follows:
% 46.03/15.42  					| (431) op(e3, e1) = all_0_5_5
% 46.03/15.42  					|
% 46.03/15.42  					| From (416) and (39) follows:
% 46.03/15.42  					| (10591) op(e4, e3) = all_0_61_61
% 46.03/15.42  					|
% 46.03/15.42  					| From (416) and (281) follows:
% 46.03/15.42  					| (30622) op(e4, e1) = e3
% 46.03/15.42  					|
% 46.03/15.42  					| From (416) and (233) follows:
% 46.03/15.42  					| (432) op(e1, e3) = all_0_60_60
% 46.03/15.42  					|
% 46.03/15.42  					+-Applying beta-rule and splitting (210), into two cases.
% 46.03/15.42  					|-Branch one:
% 46.03/15.42  					| (433) all_0_80_80 = e4
% 46.03/15.42  					|
% 46.03/15.42  						| Combining equations (433,416) yields a new equation:
% 46.03/15.42  						| (790) e4 = e3
% 46.03/15.42  						|
% 46.03/15.42  						| Simplifying 790 yields:
% 46.03/15.42  						| (434) e4 = e3
% 46.03/15.42  						|
% 46.03/15.42  						| Equations (434) can reduce 177 to:
% 46.03/15.42  						| (311) $false
% 46.03/15.42  						|
% 46.03/15.42  						|-The branch is then unsatisfiable
% 46.03/15.42  					|-Branch two:
% 46.03/15.42  					| (436)  ~ (all_0_80_80 = e4)
% 46.03/15.42  					| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.03/15.42  					|
% 46.03/15.42  						+-Applying beta-rule and splitting (437), into two cases.
% 46.03/15.42  						|-Branch one:
% 46.03/15.42  						| (438) all_0_84_84 = e4
% 46.03/15.42  						|
% 46.03/15.42  							| Equations (438) can reduce 417 to:
% 46.03/15.42  							| (311) $false
% 46.03/15.42  							|
% 46.03/15.42  							|-The branch is then unsatisfiable
% 46.03/15.42  						|-Branch two:
% 46.03/15.42  						| (417)  ~ (all_0_84_84 = e4)
% 46.03/15.42  						| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.03/15.42  						|
% 46.03/15.42  							+-Applying beta-rule and splitting (441), into two cases.
% 46.03/15.42  							|-Branch one:
% 46.03/15.42  							| (442) all_0_92_92 = e4
% 46.03/15.42  							|
% 46.03/15.42  								| Equations (442) can reduce 1619 to:
% 46.03/15.42  								| (311) $false
% 46.03/15.42  								|
% 46.03/15.42  								|-The branch is then unsatisfiable
% 46.03/15.42  							|-Branch two:
% 46.03/15.42  							| (1619)  ~ (all_0_92_92 = e4)
% 46.03/15.42  							| (610) all_0_97_97 = e4
% 46.03/15.42  							|
% 46.03/15.42  								| Equations (610) can reduce 195 to:
% 46.03/15.42  								| (417)  ~ (all_0_84_84 = e4)
% 46.03/15.42  								|
% 46.03/15.42  								| Equations (610) can reduce 221 to:
% 46.03/15.42  								| (216)  ~ (all_0_87_87 = e4)
% 46.03/15.42  								|
% 46.03/15.42  								| Equations (610) can reduce 258 to:
% 46.03/15.42  								| (1619)  ~ (all_0_92_92 = e4)
% 46.03/15.42  								|
% 46.03/15.42  								| Equations (610) can reduce 22 to:
% 46.03/15.42  								| (115)  ~ (all_0_96_96 = e4)
% 46.03/15.42  								|
% 46.03/15.42  								| Equations (610) can reduce 428 to:
% 46.03/15.42  								| (177)  ~ (e4 = e3)
% 46.03/15.42  								|
% 46.03/15.42  								| From (610) and (260) follows:
% 46.03/15.42  								| (30643) op(e4, e1) = all_0_37_37
% 46.03/15.42  								|
% 46.03/15.42  								| From (610) and (252) follows:
% 46.03/15.43  								| (30644) op(e1, e4) = all_0_67_67
% 46.03/15.43  								|
% 46.03/15.43  								| From (610) and (69) follows:
% 46.03/15.43  								| (30645) op(e0, e4) = all_0_68_68
% 46.03/15.43  								|
% 46.03/15.43  								| From (610) and (147) follows:
% 46.03/15.43  								| (20306) op(e0, e1) = e4
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e4, e3, all_0_61_61, all_0_78_78 and discharging atoms op(e4, e3) = all_0_61_61, op(e4, e3) = all_0_78_78, yields:
% 46.03/15.43  								| (30647) all_0_61_61 = all_0_78_78
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e4, e2, e2, all_0_53_53 and discharging atoms op(e4, e2) = all_0_53_53, op(e4, e2) = e2, yields:
% 46.03/15.43  								| (24571) all_0_53_53 = e2
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e4, e1, e3, all_0_37_37 and discharging atoms op(e4, e1) = all_0_37_37, op(e4, e1) = e3, yields:
% 46.03/15.43  								| (30649) all_0_37_37 = e3
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e3, e4, all_0_4_4, e1 and discharging atoms op(e3, e4) = all_0_4_4, op(e3, e4) = e1, yields:
% 46.03/15.43  								| (30650) all_0_4_4 = e1
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e3, e1, all_0_5_5, all_0_84_84 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = all_0_84_84, yields:
% 46.03/15.43  								| (450) all_0_5_5 = all_0_84_84
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e2, e4, all_0_2_2, e3 and discharging atoms op(e2, e4) = all_0_2_2, op(e2, e4) = e3, yields:
% 46.03/15.43  								| (30652) all_0_2_2 = e3
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 46.03/15.43  								| (3520) all_0_67_67 = e4
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 46.03/15.43  								| (451) all_0_60_60 = all_0_90_90
% 46.03/15.43  								|
% 46.03/15.43  								| Instantiating formula (262) with e0, e4, all_0_68_68, e2 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = e2, yields:
% 46.03/15.43  								| (2850) all_0_68_68 = e2
% 46.03/15.43  								|
% 46.03/15.43  								| From (30647) and (10591) follows:
% 46.03/15.43  								| (263) op(e4, e3) = all_0_78_78
% 46.03/15.43  								|
% 46.03/15.43  								| From (30649) and (30643) follows:
% 46.03/15.44  								| (30622) op(e4, e1) = e3
% 46.03/15.44  								|
% 46.03/15.44  								| From (30650) and (30619) follows:
% 46.03/15.44  								| (225) op(e3, e4) = e1
% 46.03/15.44  								|
% 46.03/15.44  								| From (450) and (431) follows:
% 46.03/15.44  								| (232) op(e3, e1) = all_0_84_84
% 46.03/15.44  								|
% 46.03/15.44  								| From (30652) and (30585) follows:
% 46.03/15.44  								| (172) op(e2, e4) = e3
% 46.03/15.44  								|
% 46.03/15.44  								| From (3520) and (30644) follows:
% 46.03/15.44  								| (4743) op(e1, e4) = e4
% 46.03/15.44  								|
% 46.03/15.44  								| From (451) and (432) follows:
% 46.03/15.44  								| (218) op(e1, e3) = all_0_90_90
% 46.03/15.44  								|
% 46.03/15.44  								| From (2850) and (30645) follows:
% 46.03/15.44  								| (30539) op(e0, e4) = e2
% 46.03/15.44  								|
% 46.03/15.44  								+-Applying beta-rule and splitting (52), into two cases.
% 46.03/15.44  								|-Branch one:
% 46.03/15.44  								| (453) all_0_83_83 = e2
% 46.03/15.44  								|
% 46.03/15.44  									| Equations (453) can reduce 398 to:
% 46.03/15.44  									| (311) $false
% 46.03/15.44  									|
% 46.03/15.44  									|-The branch is then unsatisfiable
% 46.03/15.44  								|-Branch two:
% 46.03/15.44  								| (398)  ~ (all_0_83_83 = e2)
% 46.03/15.44  								| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 46.03/15.44  								|
% 46.03/15.44  									+-Applying beta-rule and splitting (127), into two cases.
% 46.03/15.44  									|-Branch one:
% 46.03/15.44  									| (457) all_0_79_79 = e1
% 46.03/15.44  									|
% 46.03/15.44  										| Combining equations (390,457) yields a new equation:
% 46.03/15.44  										| (408) e2 = e1
% 46.03/15.44  										|
% 46.03/15.44  										| Simplifying 408 yields:
% 46.03/15.44  										| (385) e2 = e1
% 46.03/15.44  										|
% 46.03/15.44  										| Equations (385) can reduce 243 to:
% 46.03/15.44  										| (311) $false
% 46.03/15.44  										|
% 46.03/15.44  										|-The branch is then unsatisfiable
% 46.03/15.44  									|-Branch two:
% 46.03/15.44  									| (461)  ~ (all_0_79_79 = e1)
% 46.03/15.44  									| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 46.03/15.44  									|
% 46.03/15.44  										+-Applying beta-rule and splitting (109), into two cases.
% 46.03/15.44  										|-Branch one:
% 46.03/15.44  										| (469) all_0_82_82 = e4
% 46.03/15.44  										|
% 46.03/15.44  											| Equations (469) can reduce 193 to:
% 46.03/15.44  											| (640)  ~ (all_0_78_78 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Equations (469) can reduce 116 to:
% 46.03/15.44  											| (660)  ~ (all_0_83_83 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Simplifying 660 yields:
% 46.03/15.44  											| (155)  ~ (all_0_83_83 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Equations (469) can reduce 7 to:
% 46.03/15.44  											| (662)  ~ (all_0_84_84 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Simplifying 662 yields:
% 46.03/15.44  											| (417)  ~ (all_0_84_84 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Equations (469) can reduce 81 to:
% 46.03/15.44  											| (30680)  ~ (all_0_86_86 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Simplifying 30680 yields:
% 46.03/15.44  											| (241)  ~ (all_0_86_86 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Equations (469) can reduce 255 to:
% 46.03/15.44  											| (466)  ~ (all_0_90_90 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Simplifying 466 yields:
% 46.03/15.44  											| (467)  ~ (all_0_90_90 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Equations (469) can reduce 200 to:
% 46.03/15.44  											| (314)  ~ (all_0_95_95 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| Simplifying 314 yields:
% 46.03/15.44  											| (315)  ~ (all_0_95_95 = e4)
% 46.03/15.44  											|
% 46.03/15.44  											| From (469) and (61) follows:
% 46.03/15.44  											| (671) op(e3, e3) = e4
% 46.03/15.44  											|
% 46.03/15.44  											+-Applying beta-rule and splitting (56), into two cases.
% 46.03/15.44  											|-Branch one:
% 46.03/15.44  											| (463) all_0_78_78 = e4
% 46.03/15.44  											|
% 46.03/15.44  												| Equations (463) can reduce 640 to:
% 46.03/15.44  												| (311) $false
% 46.03/15.44  												|
% 46.03/15.44  												|-The branch is then unsatisfiable
% 46.03/15.44  											|-Branch two:
% 46.03/15.44  											| (640)  ~ (all_0_78_78 = e4)
% 46.03/15.44  											| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 46.03/15.44  											|
% 46.03/15.44  												+-Applying beta-rule and splitting (168), into two cases.
% 46.03/15.44  												|-Branch one:
% 46.03/15.44  												| (638) all_0_81_81 = e4
% 46.03/15.44  												|
% 46.03/15.44  													| Equations (638) can reduce 278 to:
% 46.03/15.44  													| (640)  ~ (all_0_78_78 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 118 to:
% 46.03/15.44  													| (647)  ~ (all_0_85_85 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Simplifying 647 yields:
% 46.03/15.44  													| (648)  ~ (all_0_85_85 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 266 to:
% 46.03/15.44  													| (649)  ~ (all_0_88_88 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Simplifying 649 yields:
% 46.03/15.44  													| (93)  ~ (all_0_88_88 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 277 to:
% 46.03/15.44  													| (495)  ~ (all_0_93_93 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Simplifying 495 yields:
% 46.03/15.44  													| (496)  ~ (all_0_93_93 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 5 to:
% 46.03/15.44  													| (320)  ~ (all_0_98_98 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Simplifying 320 yields:
% 46.03/15.44  													| (321)  ~ (all_0_98_98 = e4)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 420 to:
% 46.03/15.44  													| (177)  ~ (e4 = e3)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 396 to:
% 46.03/15.44  													| (79)  ~ (e4 = e2)
% 46.03/15.44  													|
% 46.03/15.44  													| Equations (638) can reduce 257 to:
% 46.03/15.44  													| (23)  ~ (e4 = e0)
% 46.03/15.44  													|
% 46.03/15.44  													| From (638) and (145) follows:
% 46.03/15.44  													| (30704) op(e0, e4) = all_0_69_69
% 46.03/15.44  													|
% 46.03/15.44  													+-Applying beta-rule and splitting (24), into two cases.
% 46.03/15.44  													|-Branch one:
% 46.03/15.44  													| (400) all_0_78_78 = e2
% 46.03/15.44  													|
% 46.03/15.44  														| Equations (400) can reduce 346 to:
% 46.03/15.45  														| (311) $false
% 46.03/15.45  														|
% 46.03/15.45  														|-The branch is then unsatisfiable
% 46.03/15.45  													|-Branch two:
% 46.03/15.45  													| (346)  ~ (all_0_78_78 = e2)
% 46.03/15.45  													| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 46.03/15.45  													|
% 46.03/15.45  														+-Applying beta-rule and splitting (129), into two cases.
% 46.03/15.45  														|-Branch one:
% 46.03/15.45  														| (676) all_0_78_78 = e1
% 46.03/15.45  														|
% 46.03/15.45  															| Equations (676) can reduce 82 to:
% 46.03/15.45  															| (30710)  ~ (all_0_86_86 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 30710 yields:
% 46.03/15.45  															| (387)  ~ (all_0_86_86 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Equations (676) can reduce 85 to:
% 46.03/15.45  															| (677)  ~ (all_0_90_90 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 677 yields:
% 46.03/15.45  															| (678)  ~ (all_0_90_90 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Equations (676) can reduce 125 to:
% 46.03/15.45  															| (679)  ~ (all_0_95_95 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 679 yields:
% 46.03/15.45  															| (680)  ~ (all_0_95_95 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Equations (676) can reduce 640 to:
% 46.03/15.45  															| (681)  ~ (e4 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 681 yields:
% 46.03/15.45  															| (256)  ~ (e4 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Equations (676) can reduce 418 to:
% 46.03/15.45  															| (683)  ~ (e3 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 683 yields:
% 46.03/15.45  															| (20)  ~ (e3 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Equations (676) can reduce 346 to:
% 46.03/15.45  															| (487)  ~ (e2 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| Simplifying 487 yields:
% 46.03/15.45  															| (243)  ~ (e2 = e1)
% 46.03/15.45  															|
% 46.03/15.45  															| From (676) and (138) follows:
% 46.03/15.45  															| (685) op(e3, e1) = all_0_43_43
% 46.03/15.45  															|
% 46.03/15.45  															| Instantiating formula (262) with e3, e1, all_0_43_43, all_0_84_84 and discharging atoms op(e3, e1) = all_0_43_43, op(e3, e1) = all_0_84_84, yields:
% 46.03/15.45  															| (687) all_0_43_43 = all_0_84_84
% 46.03/15.45  															|
% 46.03/15.45  															| Instantiating formula (262) with e0, e4, all_0_69_69, e2 and discharging atoms op(e0, e4) = all_0_69_69, op(e0, e4) = e2, yields:
% 46.03/15.45  															| (18072) all_0_69_69 = e2
% 46.03/15.45  															|
% 46.03/15.45  															+-Applying beta-rule and splitting (142), into two cases.
% 46.03/15.45  															|-Branch one:
% 46.03/15.45  															| (345) all_0_86_86 = e2
% 46.03/15.45  															|
% 46.03/15.45  																| Equations (345) can reduce 162 to:
% 46.03/15.45  																| (348)  ~ (all_0_87_87 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 348 yields:
% 46.03/15.45  																| (349)  ~ (all_0_87_87 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 80 to:
% 46.03/15.45  																| (350)  ~ (all_0_88_88 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 350 yields:
% 46.03/15.45  																| (351)  ~ (all_0_88_88 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 139 to:
% 46.03/15.45  																| (293)  ~ (all_0_90_90 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 293 yields:
% 46.03/15.45  																| (294)  ~ (all_0_90_90 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 91 to:
% 46.03/15.45  																| (354)  ~ (all_0_95_95 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 354 yields:
% 46.03/15.45  																| (355)  ~ (all_0_95_95 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 241 to:
% 46.03/15.45  																| (528)  ~ (e4 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 528 yields:
% 46.03/15.45  																| (79)  ~ (e4 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 134 to:
% 46.03/15.45  																| (356)  ~ (e3 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Simplifying 356 yields:
% 46.03/15.45  																| (169)  ~ (e3 = e2)
% 46.03/15.45  																|
% 46.03/15.45  																| Equations (345) can reduce 387 to:
% 46.03/15.45  																| (243)  ~ (e2 = e1)
% 46.03/15.45  																|
% 46.03/15.45  																| From (345) and (110) follows:
% 46.03/15.45  																| (360) op(e3, e2) = all_0_46_46
% 46.03/15.45  																|
% 46.03/15.45  																| Instantiating formula (262) with e3, e2, all_0_46_46, all_0_83_83 and discharging atoms op(e3, e2) = all_0_46_46, op(e3, e2) = all_0_83_83, yields:
% 46.03/15.45  																| (363) all_0_46_46 = all_0_83_83
% 46.03/15.45  																|
% 46.03/15.45  																+-Applying beta-rule and splitting (47), into two cases.
% 46.03/15.45  																|-Branch one:
% 46.03/15.45  																| (370) all_0_88_88 = e2
% 46.03/15.45  																|
% 46.03/15.45  																	| Equations (370) can reduce 351 to:
% 46.03/15.45  																	| (311) $false
% 46.03/15.45  																	|
% 46.03/15.45  																	|-The branch is then unsatisfiable
% 46.03/15.45  																|-Branch two:
% 46.03/15.45  																| (351)  ~ (all_0_88_88 = e2)
% 46.03/15.45  																| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 46.03/15.45  																|
% 46.03/15.45  																	+-Applying beta-rule and splitting (62), into two cases.
% 46.03/15.45  																	|-Branch one:
% 46.03/15.45  																	| (374) all_0_87_87 = e2
% 46.03/15.45  																	|
% 46.03/15.45  																		| Equations (374) can reduce 349 to:
% 46.03/15.45  																		| (311) $false
% 46.03/15.45  																		|
% 46.03/15.45  																		|-The branch is then unsatisfiable
% 46.03/15.45  																	|-Branch two:
% 46.03/15.45  																	| (349)  ~ (all_0_87_87 = e2)
% 46.03/15.45  																	| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 46.03/15.45  																	|
% 46.03/15.45  																		+-Applying beta-rule and splitting (42), into two cases.
% 46.03/15.45  																		|-Branch one:
% 46.03/15.45  																		| (384) all_0_86_86 = e1
% 46.03/15.45  																		|
% 46.03/15.45  																			| Combining equations (345,384) yields a new equation:
% 46.03/15.45  																			| (408) e2 = e1
% 46.03/15.45  																			|
% 46.03/15.45  																			| Simplifying 408 yields:
% 46.03/15.45  																			| (385) e2 = e1
% 46.03/15.45  																			|
% 46.03/15.45  																			| Equations (385) can reduce 243 to:
% 46.03/15.45  																			| (311) $false
% 46.03/15.45  																			|
% 46.03/15.45  																			|-The branch is then unsatisfiable
% 46.03/15.45  																		|-Branch two:
% 46.03/15.45  																		| (387)  ~ (all_0_86_86 = e1)
% 46.03/15.45  																		| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 46.03/15.45  																		|
% 46.03/15.45  																			+-Applying beta-rule and splitting (237), into two cases.
% 46.03/15.45  																			|-Branch one:
% 46.03/15.45  																			| (378) all_0_86_86 = e0
% 46.03/15.45  																			|
% 46.03/15.45  																				| Combining equations (345,378) yields a new equation:
% 46.03/15.45  																				| (923) e2 = e0
% 46.03/15.45  																				|
% 46.03/15.45  																				| Simplifying 923 yields:
% 46.03/15.45  																				| (379) e2 = e0
% 46.03/15.45  																				|
% 46.03/15.45  																				| Equations (379) can reduce 76 to:
% 46.03/15.45  																				| (311) $false
% 46.03/15.45  																				|
% 46.03/15.45  																				|-The branch is then unsatisfiable
% 46.03/15.45  																			|-Branch two:
% 46.03/15.45  																			| (381)  ~ (all_0_86_86 = e0)
% 46.03/15.45  																			| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 46.03/15.45  																			|
% 46.03/15.45  																				| Equations (345) can reduce 381 to:
% 46.03/15.45  																				| (76)  ~ (e2 = e0)
% 46.03/15.45  																				|
% 46.03/15.45  																				+-Applying beta-rule and splitting (41), into two cases.
% 46.03/15.45  																				|-Branch one:
% 46.03/15.45  																				| (530) all_0_82_82 = e2
% 46.03/15.45  																				|
% 46.03/15.45  																					| Combining equations (469,530) yields a new equation:
% 46.03/15.45  																					| (309) e4 = e2
% 46.03/15.45  																					|
% 46.03/15.45  																					| Simplifying 309 yields:
% 46.03/15.45  																					| (310) e4 = e2
% 46.03/15.45  																					|
% 46.03/15.45  																					| Equations (310) can reduce 79 to:
% 46.03/15.45  																					| (311) $false
% 46.03/15.45  																					|
% 46.03/15.45  																					|-The branch is then unsatisfiable
% 46.03/15.45  																				|-Branch two:
% 46.03/15.45  																				| (347)  ~ (all_0_82_82 = e2)
% 46.03/15.45  																				| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 46.03/15.45  																				|
% 46.03/15.45  																					+-Applying beta-rule and splitting (276), into two cases.
% 46.03/15.45  																					|-Branch one:
% 46.03/15.45  																					| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.03/15.45  																					|
% 46.03/15.45  																						+-Applying beta-rule and splitting (577), into two cases.
% 46.03/15.45  																						|-Branch one:
% 46.03/15.45  																						| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.03/15.45  																						|
% 46.03/15.45  																							+-Applying beta-rule and splitting (578), into two cases.
% 46.03/15.45  																							|-Branch one:
% 46.03/15.45  																							| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.03/15.45  																							|
% 46.03/15.45  																								| Applying alpha-rule on (579) yields:
% 46.03/15.45  																								| (580) all_0_60_60 = e4
% 46.03/15.45  																								| (581)  ~ (all_0_61_61 = e1)
% 46.03/15.45  																								|
% 46.03/15.45  																								| Combining equations (451,580) yields a new equation:
% 46.03/15.45  																								| (582) all_0_90_90 = e4
% 46.03/15.45  																								|
% 46.03/15.45  																								| Simplifying 582 yields:
% 46.03/15.45  																								| (583) all_0_90_90 = e4
% 46.03/15.45  																								|
% 46.03/15.45  																								| Equations (583) can reduce 467 to:
% 46.03/15.45  																								| (311) $false
% 46.03/15.45  																								|
% 46.03/15.45  																								|-The branch is then unsatisfiable
% 46.03/15.45  																							|-Branch two:
% 46.03/15.45  																							| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.03/15.45  																							|
% 46.03/15.45  																								| Applying alpha-rule on (585) yields:
% 46.03/15.45  																								| (586) all_0_62_62 = e3
% 46.03/15.45  																								| (587)  ~ (all_0_63_63 = e1)
% 46.03/15.45  																								|
% 46.03/15.45  																								| From (586) and (122) follows:
% 46.03/15.45  																								| (5563) op(e1, all_0_84_84) = e3
% 46.03/15.45  																								|
% 46.03/15.45  																								+-Applying beta-rule and splitting (92), into two cases.
% 46.03/15.45  																								|-Branch one:
% 46.03/15.45  																								| (552) all_0_84_84 = e2
% 46.03/15.45  																								|
% 46.03/15.45  																									| Combining equations (552,687) yields a new equation:
% 46.03/15.45  																									| (689) all_0_43_43 = e2
% 46.03/15.45  																									|
% 46.03/15.45  																									| Equations (552) can reduce 124 to:
% 46.03/15.45  																									| (348)  ~ (all_0_87_87 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| Simplifying 348 yields:
% 46.03/15.45  																									| (349)  ~ (all_0_87_87 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| Equations (552) can reduce 87 to:
% 46.03/15.45  																									| (297)  ~ (all_0_92_92 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| Simplifying 297 yields:
% 46.03/15.45  																									| (298)  ~ (all_0_92_92 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| Equations (552) can reduce 417 to:
% 46.03/15.45  																									| (528)  ~ (e4 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| Simplifying 528 yields:
% 46.03/15.45  																									| (79)  ~ (e4 = e2)
% 46.03/15.45  																									|
% 46.03/15.45  																									| From (552) and (5563) follows:
% 46.03/15.45  																									| (22909) op(e1, e2) = e3
% 46.03/15.45  																									|
% 46.03/15.45  																									+-Applying beta-rule and splitting (236), into two cases.
% 46.03/15.45  																									|-Branch one:
% 46.03/15.45  																									| (292) all_0_89_89 = e2
% 46.03/15.45  																									|
% 46.03/15.45  																										| Combining equations (308,292) yields a new equation:
% 46.03/15.45  																										| (309) e4 = e2
% 46.03/15.45  																										|
% 46.03/15.45  																										| Simplifying 309 yields:
% 46.03/15.45  																										| (310) e4 = e2
% 46.03/15.45  																										|
% 46.03/15.45  																										| Equations (310) can reduce 79 to:
% 46.03/15.45  																										| (311) $false
% 46.03/15.45  																										|
% 46.03/15.45  																										|-The branch is then unsatisfiable
% 46.03/15.45  																									|-Branch two:
% 46.03/15.45  																									| (30522)  ~ (all_0_89_89 = e2)
% 46.03/15.45  																									| (30794) all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.03/15.45  																									|
% 46.03/15.45  																										+-Applying beta-rule and splitting (30794), into two cases.
% 46.03/15.45  																										|-Branch one:
% 46.03/15.45  																										| (746) all_0_90_90 = e2
% 46.03/15.45  																										|
% 46.03/15.45  																											| Equations (746) can reduce 294 to:
% 46.03/15.45  																											| (311) $false
% 46.03/15.45  																											|
% 46.03/15.45  																											|-The branch is then unsatisfiable
% 46.03/15.45  																										|-Branch two:
% 46.03/15.45  																										| (294)  ~ (all_0_90_90 = e2)
% 46.10/15.45  																										| (30798) all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.10/15.45  																										|
% 46.10/15.46  																											+-Applying beta-rule and splitting (30798), into two cases.
% 46.10/15.46  																											|-Branch one:
% 46.10/15.46  																											| (1723) all_0_91_91 = e2
% 46.10/15.46  																											|
% 46.10/15.46  																												| Equations (1723) can reduce 296 to:
% 46.10/15.46  																												| (311) $false
% 46.10/15.46  																												|
% 46.10/15.46  																												|-The branch is then unsatisfiable
% 46.10/15.46  																											|-Branch two:
% 46.10/15.46  																											| (296)  ~ (all_0_91_91 = e2)
% 46.10/15.46  																											| (30802) all_0_92_92 = e2 | all_0_93_93 = e2
% 46.10/15.46  																											|
% 46.10/15.46  																												+-Applying beta-rule and splitting (30802), into two cases.
% 46.10/15.46  																												|-Branch one:
% 46.10/15.46  																												| (1343) all_0_92_92 = e2
% 46.10/15.46  																												|
% 46.10/15.46  																													| Equations (1343) can reduce 298 to:
% 46.10/15.46  																													| (311) $false
% 46.10/15.46  																													|
% 46.10/15.46  																													|-The branch is then unsatisfiable
% 46.10/15.46  																												|-Branch two:
% 46.10/15.46  																												| (298)  ~ (all_0_92_92 = e2)
% 46.10/15.46  																												| (522) all_0_93_93 = e2
% 46.10/15.46  																												|
% 46.10/15.46  																													| Equations (522) can reduce 13 to:
% 46.10/15.46  																													| (1348)  ~ (all_0_98_98 = e2)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Simplifying 1348 yields:
% 46.10/15.46  																													| (1349)  ~ (all_0_98_98 = e2)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Equations (522) can reduce 496 to:
% 46.10/15.46  																													| (528)  ~ (e4 = e2)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Simplifying 528 yields:
% 46.10/15.46  																													| (79)  ~ (e4 = e2)
% 46.10/15.46  																													|
% 46.10/15.46  																													| From (522) and (21) follows:
% 46.10/15.46  																													| (30811) op(e1, e2) = all_0_76_76
% 46.10/15.46  																													|
% 46.10/15.46  																													| Instantiating formula (262) with e1, e2, all_0_76_76, all_0_91_91 and discharging atoms op(e1, e2) = all_0_76_76, op(e1, e2) = all_0_91_91, yields:
% 46.10/15.46  																													| (30812) all_0_76_76 = all_0_91_91
% 46.10/15.46  																													|
% 46.10/15.46  																													| Instantiating formula (262) with e1, e2, e3, all_0_76_76 and discharging atoms op(e1, e2) = all_0_76_76, op(e1, e2) = e3, yields:
% 46.10/15.46  																													| (12777) all_0_76_76 = e3
% 46.10/15.46  																													|
% 46.10/15.46  																													| Combining equations (12777,30812) yields a new equation:
% 46.10/15.46  																													| (588) all_0_91_91 = e3
% 46.10/15.46  																													|
% 46.10/15.46  																													| Equations (588) can reduce 146 to:
% 46.10/15.46  																													| (779)  ~ (all_0_83_83 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Equations (588) can reduce 103 to:
% 46.10/15.46  																													| (745)  ~ (all_0_90_90 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Equations (588) can reduce 64 to:
% 46.10/15.46  																													| (1300)  ~ (all_0_96_96 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Simplifying 1300 yields:
% 46.10/15.46  																													| (964)  ~ (all_0_96_96 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Equations (588) can reduce 133 to:
% 46.10/15.46  																													| (783)  ~ (e4 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													| Simplifying 783 yields:
% 46.10/15.46  																													| (177)  ~ (e4 = e3)
% 46.10/15.46  																													|
% 46.10/15.46  																													+-Applying beta-rule and splitting (462), into two cases.
% 46.10/15.46  																													|-Branch one:
% 46.10/15.46  																													| (801) all_0_91_91 = e1
% 46.10/15.46  																													|
% 46.10/15.46  																														| Combining equations (801,588) yields a new equation:
% 46.10/15.46  																														| (772) e3 = e1
% 46.10/15.46  																														|
% 46.10/15.46  																														| Equations (772) can reduce 20 to:
% 46.10/15.46  																														| (311) $false
% 46.10/15.46  																														|
% 46.10/15.46  																														|-The branch is then unsatisfiable
% 46.10/15.46  																													|-Branch two:
% 46.10/15.46  																													| (959)  ~ (all_0_91_91 = e1)
% 46.10/15.46  																													| (960) all_0_96_96 = e1
% 46.10/15.46  																													|
% 46.10/15.46  																														| Equations (960) can reduce 211 to:
% 46.10/15.46  																														| (113)  ~ (all_0_83_83 = e1)
% 46.10/15.46  																														|
% 46.10/15.46  																														| Equations (960) can reduce 964 to:
% 46.10/15.46  																														| (683)  ~ (e3 = e1)
% 46.10/15.46  																														|
% 46.10/15.46  																														| Simplifying 683 yields:
% 46.10/15.46  																														| (20)  ~ (e3 = e1)
% 46.10/15.46  																														|
% 46.10/15.46  																														| Equations (960) can reduce 1638 to:
% 46.10/15.46  																														| (487)  ~ (e2 = e1)
% 46.10/15.46  																														|
% 46.10/15.46  																														| Simplifying 487 yields:
% 46.10/15.46  																														| (243)  ~ (e2 = e1)
% 46.10/15.46  																														|
% 46.10/15.46  																														+-Applying beta-rule and splitting (132), into two cases.
% 46.10/15.46  																														|-Branch one:
% 46.10/15.46  																														| (750) all_0_90_90 = e1
% 46.10/15.46  																														|
% 46.10/15.46  																															| Equations (750) can reduce 678 to:
% 46.10/15.46  																															| (311) $false
% 46.10/15.46  																															|
% 46.10/15.46  																															|-The branch is then unsatisfiable
% 46.10/15.46  																														|-Branch two:
% 46.10/15.46  																														| (678)  ~ (all_0_90_90 = e1)
% 46.10/15.46  																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.10/15.46  																														|
% 46.10/15.46  																															+-Applying beta-rule and splitting (220), into two cases.
% 46.10/15.46  																															|-Branch one:
% 46.10/15.46  																															| (771) all_0_78_78 = e3
% 46.10/15.46  																															|
% 46.10/15.46  																																| Combining equations (676,771) yields a new equation:
% 46.10/15.46  																																| (772) e3 = e1
% 46.10/15.46  																																|
% 46.10/15.46  																																| Equations (772) can reduce 20 to:
% 46.10/15.46  																																| (311) $false
% 46.10/15.46  																																|
% 46.10/15.46  																																|-The branch is then unsatisfiable
% 46.10/15.46  																															|-Branch two:
% 46.10/15.46  																															| (418)  ~ (all_0_78_78 = e3)
% 46.10/15.46  																															| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.10/15.46  																															|
% 46.10/15.46  																																| Equations (676) can reduce 418 to:
% 46.10/15.46  																																| (683)  ~ (e3 = e1)
% 46.10/15.46  																																|
% 46.10/15.46  																																| Simplifying 683 yields:
% 46.10/15.46  																																| (20)  ~ (e3 = e1)
% 46.10/15.46  																																|
% 46.10/15.46  																																+-Applying beta-rule and splitting (1526), into two cases.
% 46.10/15.46  																																|-Branch one:
% 46.10/15.46  																																| (801) all_0_91_91 = e1
% 46.10/15.46  																																|
% 46.10/15.46  																																	| Combining equations (801,588) yields a new equation:
% 46.10/15.46  																																	| (772) e3 = e1
% 46.10/15.46  																																	|
% 46.10/15.46  																																	| Equations (772) can reduce 20 to:
% 46.10/15.46  																																	| (311) $false
% 46.10/15.46  																																	|
% 46.10/15.46  																																	|-The branch is then unsatisfiable
% 46.10/15.46  																																|-Branch two:
% 46.10/15.46  																																| (959)  ~ (all_0_91_91 = e1)
% 46.10/15.46  																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.10/15.46  																																|
% 46.10/15.46  																																	+-Applying beta-rule and splitting (1556), into two cases.
% 46.10/15.46  																																	|-Branch one:
% 46.10/15.46  																																	| (836) all_0_92_92 = e1
% 46.10/15.46  																																	|
% 46.10/15.46  																																		| Equations (836) can reduce 1619 to:
% 46.10/15.46  																																		| (681)  ~ (e4 = e1)
% 46.10/15.46  																																		|
% 46.10/15.46  																																		| Simplifying 681 yields:
% 46.10/15.46  																																		| (256)  ~ (e4 = e1)
% 46.10/15.46  																																		|
% 46.10/15.46  																																		+-Applying beta-rule and splitting (775), into two cases.
% 46.10/15.46  																																		|-Branch one:
% 46.10/15.46  																																		| (789) all_0_82_82 = e3
% 46.10/15.46  																																		|
% 46.10/15.46  																																			| Combining equations (469,789) yields a new equation:
% 46.10/15.46  																																			| (790) e4 = e3
% 46.10/15.46  																																			|
% 46.10/15.46  																																			| Simplifying 790 yields:
% 46.10/15.46  																																			| (434) e4 = e3
% 46.10/15.46  																																			|
% 46.10/15.46  																																			| Equations (434) can reduce 177 to:
% 46.10/15.46  																																			| (311) $false
% 46.10/15.46  																																			|
% 46.10/15.46  																																			|-The branch is then unsatisfiable
% 46.10/15.46  																																		|-Branch two:
% 46.10/15.46  																																		| (793)  ~ (all_0_82_82 = e3)
% 46.10/15.46  																																		| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.10/15.46  																																		|
% 46.10/15.46  																																			+-Applying beta-rule and splitting (108), into two cases.
% 46.10/15.46  																																			|-Branch one:
% 46.10/15.46  																																			| (477) all_0_81_81 = e1
% 46.10/15.46  																																			|
% 46.10/15.46  																																				| Combining equations (638,477) yields a new equation:
% 46.10/15.46  																																				| (813) e4 = e1
% 46.10/15.46  																																				|
% 46.10/15.46  																																				| Simplifying 813 yields:
% 46.10/15.46  																																				| (814) e4 = e1
% 46.10/15.46  																																				|
% 46.10/15.46  																																				| Equations (814) can reduce 256 to:
% 46.10/15.46  																																				| (311) $false
% 46.10/15.46  																																				|
% 46.10/15.46  																																				|-The branch is then unsatisfiable
% 46.10/15.46  																																			|-Branch two:
% 46.10/15.46  																																			| (628)  ~ (all_0_81_81 = e1)
% 46.10/15.46  																																			| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 46.10/15.46  																																			|
% 46.10/15.46  																																				+-Applying beta-rule and splitting (794), into two cases.
% 46.10/15.46  																																				|-Branch one:
% 46.10/15.46  																																				| (754) all_0_90_90 = e3
% 46.10/15.46  																																				|
% 46.10/15.46  																																					| Equations (754) can reduce 745 to:
% 46.10/15.46  																																					| (311) $false
% 46.10/15.46  																																					|
% 46.10/15.46  																																					|-The branch is then unsatisfiable
% 46.10/15.46  																																				|-Branch two:
% 46.10/15.46  																																				| (745)  ~ (all_0_90_90 = e3)
% 46.10/15.46  																																				| (744) all_0_95_95 = e3
% 46.10/15.46  																																				|
% 46.10/15.46  																																					| Equations (744) can reduce 107 to:
% 46.11/15.46  																																					| (1518)  ~ (all_0_98_98 = e3)
% 46.11/15.46  																																					|
% 46.11/15.46  																																					| Simplifying 1518 yields:
% 46.11/15.46  																																					| (1519)  ~ (all_0_98_98 = e3)
% 46.11/15.46  																																					|
% 46.11/15.46  																																					| Equations (744) can reduce 315 to:
% 46.11/15.46  																																					| (783)  ~ (e4 = e3)
% 46.11/15.46  																																					|
% 46.11/15.46  																																					| Simplifying 783 yields:
% 46.11/15.46  																																					| (177)  ~ (e4 = e3)
% 46.11/15.46  																																					|
% 46.11/15.46  																																					| Equations (744) can reduce 355 to:
% 46.11/15.46  																																					| (169)  ~ (e3 = e2)
% 46.11/15.46  																																					|
% 46.11/15.46  																																					| From (744) and (121) follows:
% 46.11/15.46  																																					| (10297) op(e3, e3) = all_0_50_50
% 46.11/15.46  																																					|
% 46.11/15.46  																																					+-Applying beta-rule and splitting (171), into two cases.
% 46.11/15.46  																																					|-Branch one:
% 46.11/15.46  																																					| (789) all_0_82_82 = e3
% 46.11/15.46  																																					|
% 46.11/15.46  																																						| Combining equations (469,789) yields a new equation:
% 46.11/15.46  																																						| (790) e4 = e3
% 46.11/15.46  																																						|
% 46.11/15.46  																																						| Simplifying 790 yields:
% 46.11/15.46  																																						| (434) e4 = e3
% 46.11/15.46  																																						|
% 46.11/15.46  																																						| Equations (434) can reduce 177 to:
% 46.11/15.46  																																						| (311) $false
% 46.11/15.46  																																						|
% 46.11/15.46  																																						|-The branch is then unsatisfiable
% 46.11/15.46  																																					|-Branch two:
% 46.11/15.46  																																					| (793)  ~ (all_0_82_82 = e3)
% 46.11/15.46  																																					| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.11/15.46  																																					|
% 46.11/15.46  																																						| Equations (469) can reduce 793 to:
% 46.11/15.46  																																						| (177)  ~ (e4 = e3)
% 46.11/15.46  																																						|
% 46.11/15.46  																																						+-Applying beta-rule and splitting (2), into two cases.
% 46.11/15.46  																																						|-Branch one:
% 46.11/15.46  																																						| (916) all_0_84_84 = e0
% 46.11/15.46  																																						|
% 46.11/15.46  																																							| Combining equations (916,552) yields a new equation:
% 46.11/15.46  																																							| (379) e2 = e0
% 46.11/15.46  																																							|
% 46.11/15.46  																																							| Equations (379) can reduce 76 to:
% 46.11/15.46  																																							| (311) $false
% 46.11/15.46  																																							|
% 46.11/15.46  																																							|-The branch is then unsatisfiable
% 46.11/15.46  																																						|-Branch two:
% 46.11/15.46  																																						| (919)  ~ (all_0_84_84 = e0)
% 46.11/15.47  																																						| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.11/15.47  																																						|
% 46.11/15.47  																																							+-Applying beta-rule and splitting (250), into two cases.
% 46.11/15.47  																																							|-Branch one:
% 46.11/15.47  																																							| (635) all_0_81_81 = e3
% 46.11/15.47  																																							|
% 46.11/15.47  																																								| Combining equations (638,635) yields a new equation:
% 46.11/15.47  																																								| (790) e4 = e3
% 46.11/15.47  																																								|
% 46.11/15.47  																																								| Simplifying 790 yields:
% 46.11/15.47  																																								| (434) e4 = e3
% 46.11/15.47  																																								|
% 46.11/15.47  																																								| Equations (434) can reduce 177 to:
% 46.11/15.47  																																								| (311) $false
% 46.11/15.47  																																								|
% 46.11/15.47  																																								|-The branch is then unsatisfiable
% 46.11/15.47  																																							|-Branch two:
% 46.11/15.47  																																							| (420)  ~ (all_0_81_81 = e3)
% 46.11/15.47  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.11/15.47  																																							|
% 46.11/15.47  																																								+-Applying beta-rule and splitting (456), into two cases.
% 46.11/15.47  																																								|-Branch one:
% 46.11/15.47  																																								| (795) all_0_83_83 = e3
% 46.11/15.47  																																								|
% 46.11/15.47  																																									| Equations (795) can reduce 779 to:
% 46.11/15.47  																																									| (311) $false
% 46.11/15.47  																																									|
% 46.11/15.47  																																									|-The branch is then unsatisfiable
% 46.11/15.47  																																								|-Branch two:
% 46.11/15.47  																																								| (779)  ~ (all_0_83_83 = e3)
% 46.11/15.47  																																								| (798) all_0_83_83 = e0
% 46.11/15.47  																																								|
% 46.11/15.47  																																									| Combining equations (798,363) yields a new equation:
% 46.11/15.47  																																									| (10066) all_0_46_46 = e0
% 46.11/15.47  																																									|
% 46.11/15.47  																																									| Equations (798) can reduce 113 to:
% 46.11/15.47  																																									| (859)  ~ (e1 = e0)
% 46.11/15.47  																																									|
% 46.11/15.47  																																									| Simplifying 859 yields:
% 46.11/15.47  																																									| (264)  ~ (e1 = e0)
% 46.11/15.47  																																									|
% 46.11/15.47  																																									| From (798) and (163) follows:
% 46.11/15.47  																																									| (1036) op(e3, e0) = all_0_55_55
% 46.11/15.47  																																									|
% 46.11/15.47  																																									+-Applying beta-rule and splitting (817), into two cases.
% 46.11/15.47  																																									|-Branch one:
% 46.11/15.47  																																									| (504) all_0_88_88 = e1
% 46.11/15.47  																																									|
% 46.11/15.47  																																										| Equations (504) can reduce 78 to:
% 46.11/15.47  																																										| (128)  ~ (all_0_85_85 = e1)
% 46.11/15.47  																																										|
% 46.11/15.47  																																										| Equations (504) can reduce 181 to:
% 46.11/15.47  																																										| (625)  ~ (all_0_87_87 = e1)
% 46.11/15.47  																																										|
% 46.11/15.47  																																										| Equations (504) can reduce 31 to:
% 46.11/15.47  																																										| (1803)  ~ (all_0_98_98 = e1)
% 46.11/15.47  																																										|
% 46.11/15.47  																																										| Simplifying 1803 yields:
% 46.11/15.47  																																										| (1804)  ~ (all_0_98_98 = e1)
% 46.11/15.47  																																										|
% 46.11/15.47  																																										+-Applying beta-rule and splitting (4488), into two cases.
% 46.11/15.47  																																										|-Branch one:
% 46.11/15.47  																																										| (804) all_0_85_85 = e3
% 46.11/15.47  																																										|
% 46.11/15.47  																																											| Equations (804) can reduce 75 to:
% 46.11/15.47  																																											| (1518)  ~ (all_0_98_98 = e3)
% 46.11/15.47  																																											|
% 46.11/15.47  																																											| Simplifying 1518 yields:
% 46.11/15.47  																																											| (1519)  ~ (all_0_98_98 = e3)
% 46.11/15.47  																																											|
% 46.11/15.47  																																											| Equations (804) can reduce 128 to:
% 46.11/15.47  																																											| (20)  ~ (e3 = e1)
% 46.11/15.47  																																											|
% 46.11/15.47  																																											| From (804) and (8) follows:
% 46.11/15.47  																																											| (1048) op(e3, e0) = e3
% 46.11/15.47  																																											|
% 46.11/15.47  																																											+-Applying beta-rule and splitting (48), into two cases.
% 46.11/15.47  																																											|-Branch one:
% 46.11/15.47  																																											| (525) all_0_98_98 = e2
% 46.11/15.47  																																											|
% 46.11/15.47  																																												| Equations (525) can reduce 1349 to:
% 46.11/15.47  																																												| (311) $false
% 46.11/15.47  																																												|
% 46.11/15.47  																																												|-The branch is then unsatisfiable
% 46.11/15.47  																																											|-Branch two:
% 46.11/15.47  																																											| (1349)  ~ (all_0_98_98 = e2)
% 46.11/15.47  																																											| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.11/15.47  																																											|
% 46.11/15.47  																																												+-Applying beta-rule and splitting (382), into two cases.
% 46.11/15.47  																																												|-Branch one:
% 46.11/15.47  																																												| (861) all_0_87_87 = e0
% 46.11/15.47  																																												|
% 46.11/15.47  																																													| Equations (861) can reduce 227 to:
% 46.11/15.47  																																													| (906)  ~ (e3 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													| Simplifying 906 yields:
% 46.11/15.47  																																													| (50)  ~ (e3 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													| Equations (861) can reduce 349 to:
% 46.11/15.47  																																													| (510)  ~ (e2 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													| Simplifying 510 yields:
% 46.11/15.47  																																													| (76)  ~ (e2 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													| Equations (861) can reduce 625 to:
% 46.11/15.47  																																													| (859)  ~ (e1 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													| Simplifying 859 yields:
% 46.11/15.47  																																													| (264)  ~ (e1 = e0)
% 46.11/15.47  																																													|
% 46.11/15.47  																																													+-Applying beta-rule and splitting (291), into two cases.
% 46.11/15.47  																																													|-Branch one:
% 46.11/15.47  																																													| (758) all_0_90_90 = e0
% 46.11/15.47  																																													|
% 46.11/15.47  																																														| From (758) and (217) follows:
% 46.11/15.47  																																														| (13796) op(e3, e0) = all_0_48_48
% 46.11/15.47  																																														|
% 46.11/15.47  																																														+-Applying beta-rule and splitting (5118), into two cases.
% 46.11/15.47  																																														|-Branch one:
% 46.11/15.47  																																														| (1543) all_0_98_98 = e1
% 46.11/15.47  																																														|
% 46.11/15.47  																																															| Equations (1543) can reduce 1804 to:
% 46.11/15.47  																																															| (311) $false
% 46.11/15.47  																																															|
% 46.11/15.47  																																															|-The branch is then unsatisfiable
% 46.11/15.47  																																														|-Branch two:
% 46.11/15.47  																																														| (1804)  ~ (all_0_98_98 = e1)
% 46.11/15.47  																																														| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.11/15.47  																																														|
% 46.11/15.47  																																															+-Applying beta-rule and splitting (5122), into two cases.
% 46.11/15.47  																																															|-Branch one:
% 46.11/15.47  																																															| (969) all_0_98_98 = e3
% 46.11/15.47  																																															|
% 46.11/15.47  																																																| Equations (969) can reduce 1519 to:
% 46.11/15.47  																																																| (311) $false
% 46.11/15.47  																																																|
% 46.11/15.47  																																																|-The branch is then unsatisfiable
% 46.11/15.47  																																															|-Branch two:
% 46.11/15.47  																																															| (1519)  ~ (all_0_98_98 = e3)
% 46.11/15.47  																																															| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.11/15.47  																																															|
% 46.11/15.47  																																																+-Applying beta-rule and splitting (5284), into two cases.
% 46.11/15.47  																																																|-Branch one:
% 46.11/15.47  																																																| (1121) all_0_98_98 = e0
% 46.11/15.47  																																																|
% 46.11/15.47  																																																	| Equations (1121) can reduce 321 to:
% 46.11/15.47  																																																	| (904)  ~ (e4 = e0)
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Simplifying 904 yields:
% 46.11/15.47  																																																	| (23)  ~ (e4 = e0)
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Equations (1121) can reduce 1349 to:
% 46.11/15.47  																																																	| (510)  ~ (e2 = e0)
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Simplifying 510 yields:
% 46.11/15.47  																																																	| (76)  ~ (e2 = e0)
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Instantiating formula (262) with e3, e3, all_0_50_50, e4 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e4, yields:
% 46.11/15.47  																																																	| (10303) all_0_50_50 = e4
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = all_0_55_55, yields:
% 46.11/15.47  																																																	| (30935) all_0_48_48 = all_0_55_55
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Instantiating formula (262) with e3, e0, e3, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e3, yields:
% 46.11/15.47  																																																	| (10304) all_0_48_48 = e3
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Combining equations (10304,30935) yields a new equation:
% 46.11/15.47  																																																	| (1115) all_0_55_55 = e3
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	| Combining equations (1115,30935) yields a new equation:
% 46.11/15.47  																																																	| (10304) all_0_48_48 = e3
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																	+-Applying beta-rule and splitting (186), into two cases.
% 46.11/15.47  																																																	|-Branch one:
% 46.11/15.47  																																																	| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 46.11/15.47  																																																	|
% 46.11/15.47  																																																		+-Applying beta-rule and splitting (726), into two cases.
% 46.11/15.47  																																																		|-Branch one:
% 46.11/15.47  																																																		| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 46.11/15.47  																																																		|
% 46.11/15.47  																																																			+-Applying beta-rule and splitting (727), into two cases.
% 46.11/15.47  																																																			|-Branch one:
% 46.11/15.47  																																																			| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 46.11/15.47  																																																			|
% 46.11/15.47  																																																				| Applying alpha-rule on (728) yields:
% 46.11/15.47  																																																				| (729) all_0_43_43 = e4
% 46.11/15.47  																																																				| (730)  ~ (all_0_44_44 = e3)
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				| Combining equations (729,689) yields a new equation:
% 46.11/15.47  																																																				| (309) e4 = e2
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				| Simplifying 309 yields:
% 46.11/15.47  																																																				| (310) e4 = e2
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				| Equations (310) can reduce 79 to:
% 46.11/15.47  																																																				| (311) $false
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				|-The branch is then unsatisfiable
% 46.11/15.47  																																																			|-Branch two:
% 46.11/15.47  																																																			| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 46.11/15.47  																																																			|
% 46.11/15.47  																																																				| Applying alpha-rule on (734) yields:
% 46.11/15.47  																																																				| (735) all_0_46_46 = e2
% 46.11/15.47  																																																				| (736)  ~ (all_0_47_47 = e3)
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				| Combining equations (10066,735) yields a new equation:
% 46.11/15.47  																																																				| (379) e2 = e0
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				| Equations (379) can reduce 76 to:
% 46.11/15.47  																																																				| (311) $false
% 46.11/15.47  																																																				|
% 46.11/15.47  																																																				|-The branch is then unsatisfiable
% 46.11/15.47  																																																		|-Branch two:
% 46.11/15.47  																																																		| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 46.11/15.47  																																																		|
% 46.11/15.47  																																																			| Applying alpha-rule on (740) yields:
% 46.11/15.47  																																																			| (741) all_0_48_48 = e1
% 46.11/15.47  																																																			| (742)  ~ (all_0_49_49 = e3)
% 46.11/15.47  																																																			|
% 46.11/15.47  																																																			| Combining equations (741,10304) yields a new equation:
% 46.11/15.47  																																																			| (772) e3 = e1
% 46.11/15.47  																																																			|
% 46.11/15.47  																																																			| Equations (772) can reduce 20 to:
% 46.11/15.47  																																																			| (311) $false
% 46.11/15.47  																																																			|
% 46.11/15.47  																																																			|-The branch is then unsatisfiable
% 46.11/15.47  																																																	|-Branch two:
% 46.11/15.47  																																																	| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 46.11/15.48  																																																	|
% 46.11/15.48  																																																		| Applying alpha-rule on (973) yields:
% 46.11/15.48  																																																		| (974) all_0_50_50 = e0
% 46.11/15.48  																																																		| (975)  ~ (all_0_51_51 = e3)
% 46.11/15.48  																																																		|
% 46.11/15.48  																																																		| Combining equations (10303,974) yields a new equation:
% 46.11/15.48  																																																		| (911) e4 = e0
% 46.11/15.48  																																																		|
% 46.11/15.48  																																																		| Simplifying 911 yields:
% 46.11/15.48  																																																		| (912) e4 = e0
% 46.11/15.48  																																																		|
% 46.11/15.48  																																																		| Equations (912) can reduce 23 to:
% 46.11/15.48  																																																		| (311) $false
% 46.11/15.48  																																																		|
% 46.11/15.48  																																																		|-The branch is then unsatisfiable
% 46.11/15.48  																																																|-Branch two:
% 46.11/15.48  																																																| (2059)  ~ (all_0_98_98 = e0)
% 46.11/15.48  																																																| (2650) all_0_98_98 = e4
% 46.11/15.48  																																																|
% 46.11/15.48  																																																	| Equations (2650) can reduce 321 to:
% 46.11/15.48  																																																	| (311) $false
% 46.11/15.48  																																																	|
% 46.11/15.48  																																																	|-The branch is then unsatisfiable
% 46.11/15.48  																																													|-Branch two:
% 46.11/15.48  																																													| (762)  ~ (all_0_90_90 = e0)
% 46.11/15.48  																																													| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																														+-Applying beta-rule and splitting (1455), into two cases.
% 46.11/15.48  																																														|-Branch one:
% 46.11/15.48  																																														| (1456) all_0_91_91 = e0
% 46.11/15.48  																																														|
% 46.11/15.48  																																															| Combining equations (588,1456) yields a new equation:
% 46.11/15.48  																																															| (599) e3 = e0
% 46.11/15.48  																																															|
% 46.11/15.48  																																															| Simplifying 599 yields:
% 46.11/15.48  																																															| (600) e3 = e0
% 46.11/15.48  																																															|
% 46.11/15.48  																																															| Equations (600) can reduce 50 to:
% 46.11/15.48  																																															| (311) $false
% 46.11/15.48  																																															|
% 46.11/15.48  																																															|-The branch is then unsatisfiable
% 46.11/15.48  																																														|-Branch two:
% 46.11/15.48  																																														| (1487)  ~ (all_0_91_91 = e0)
% 46.11/15.48  																																														| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.11/15.48  																																														|
% 46.11/15.48  																																															+-Applying beta-rule and splitting (1488), into two cases.
% 46.11/15.48  																																															|-Branch one:
% 46.11/15.48  																																															| (942) all_0_92_92 = e0
% 46.11/15.48  																																															|
% 46.11/15.48  																																																| Combining equations (836,942) yields a new equation:
% 46.11/15.48  																																																| (1107) e1 = e0
% 46.11/15.48  																																																|
% 46.11/15.48  																																																| Simplifying 1107 yields:
% 46.11/15.48  																																																| (865) e1 = e0
% 46.11/15.48  																																																|
% 46.11/15.48  																																																| Equations (865) can reduce 264 to:
% 46.11/15.48  																																																| (311) $false
% 46.11/15.48  																																																|
% 46.11/15.48  																																																|-The branch is then unsatisfiable
% 46.11/15.48  																																															|-Branch two:
% 46.11/15.48  																																															| (946)  ~ (all_0_92_92 = e0)
% 46.11/15.48  																																															| (604) all_0_93_93 = e0
% 46.11/15.48  																																															|
% 46.11/15.48  																																																| Combining equations (522,604) yields a new equation:
% 46.11/15.48  																																																| (923) e2 = e0
% 46.11/15.48  																																																|
% 46.11/15.48  																																																| Simplifying 923 yields:
% 46.11/15.48  																																																| (379) e2 = e0
% 46.11/15.48  																																																|
% 46.11/15.48  																																																| Equations (379) can reduce 76 to:
% 46.11/15.48  																																																| (311) $false
% 46.11/15.48  																																																|
% 46.11/15.48  																																																|-The branch is then unsatisfiable
% 46.11/15.48  																																												|-Branch two:
% 46.11/15.48  																																												| (889)  ~ (all_0_87_87 = e0)
% 46.11/15.48  																																												| (507) all_0_88_88 = e0
% 46.11/15.48  																																												|
% 46.11/15.48  																																													| Combining equations (504,507) yields a new equation:
% 46.11/15.48  																																													| (1107) e1 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																													| Simplifying 1107 yields:
% 46.11/15.48  																																													| (865) e1 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																													| Equations (865) can reduce 264 to:
% 46.11/15.48  																																													| (311) $false
% 46.11/15.48  																																													|
% 46.11/15.48  																																													|-The branch is then unsatisfiable
% 46.11/15.48  																																										|-Branch two:
% 46.11/15.48  																																										| (952)  ~ (all_0_85_85 = e3)
% 46.11/15.48  																																										| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.11/15.48  																																										|
% 46.11/15.48  																																											+-Applying beta-rule and splitting (4559), into two cases.
% 46.11/15.48  																																											|-Branch one:
% 46.11/15.48  																																											| (570) all_0_93_93 = e3
% 46.11/15.48  																																											|
% 46.11/15.48  																																												| Combining equations (570,522) yields a new equation:
% 46.11/15.48  																																												| (547) e3 = e2
% 46.11/15.48  																																												|
% 46.11/15.48  																																												| Simplifying 547 yields:
% 46.11/15.48  																																												| (548) e3 = e2
% 46.11/15.48  																																												|
% 46.11/15.48  																																												| Equations (548) can reduce 169 to:
% 46.11/15.48  																																												| (311) $false
% 46.11/15.48  																																												|
% 46.11/15.48  																																												|-The branch is then unsatisfiable
% 46.11/15.48  																																											|-Branch two:
% 46.11/15.48  																																											| (602)  ~ (all_0_93_93 = e3)
% 46.11/15.48  																																											| (969) all_0_98_98 = e3
% 46.11/15.48  																																											|
% 46.11/15.48  																																												| Equations (969) can reduce 1519 to:
% 46.11/15.48  																																												| (311) $false
% 46.11/15.48  																																												|
% 46.11/15.48  																																												|-The branch is then unsatisfiable
% 46.11/15.48  																																									|-Branch two:
% 46.11/15.48  																																									| (479)  ~ (all_0_88_88 = e1)
% 46.11/15.48  																																									| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 46.11/15.48  																																									|
% 46.11/15.48  																																										+-Applying beta-rule and splitting (373), into two cases.
% 46.11/15.48  																																										|-Branch one:
% 46.11/15.48  																																										| (504) all_0_88_88 = e1
% 46.11/15.48  																																										|
% 46.11/15.48  																																											| Equations (504) can reduce 479 to:
% 46.11/15.48  																																											| (311) $false
% 46.11/15.48  																																											|
% 46.11/15.48  																																											|-The branch is then unsatisfiable
% 46.11/15.48  																																										|-Branch two:
% 46.11/15.48  																																										| (479)  ~ (all_0_88_88 = e1)
% 46.11/15.48  																																										| (507) all_0_88_88 = e0
% 46.11/15.48  																																										|
% 46.11/15.48  																																											| Equations (507) can reduce 181 to:
% 46.11/15.48  																																											| (889)  ~ (all_0_87_87 = e0)
% 46.11/15.48  																																											|
% 46.11/15.48  																																											| Equations (507) can reduce 93 to:
% 46.11/15.48  																																											| (904)  ~ (e4 = e0)
% 46.11/15.48  																																											|
% 46.11/15.48  																																											| Simplifying 904 yields:
% 46.11/15.48  																																											| (23)  ~ (e4 = e0)
% 46.11/15.48  																																											|
% 46.11/15.48  																																											| Equations (507) can reduce 479 to:
% 46.11/15.48  																																											| (859)  ~ (e1 = e0)
% 46.11/15.48  																																											|
% 46.11/15.48  																																											| Simplifying 859 yields:
% 46.11/15.48  																																											| (264)  ~ (e1 = e0)
% 46.11/15.48  																																											|
% 46.11/15.48  																																											+-Applying beta-rule and splitting (920), into two cases.
% 46.11/15.48  																																											|-Branch one:
% 46.11/15.48  																																											| (861) all_0_87_87 = e0
% 46.11/15.48  																																											|
% 46.11/15.48  																																												| Equations (861) can reduce 889 to:
% 46.11/15.48  																																												| (311) $false
% 46.11/15.48  																																												|
% 46.11/15.48  																																												|-The branch is then unsatisfiable
% 46.11/15.48  																																											|-Branch two:
% 46.11/15.48  																																											| (889)  ~ (all_0_87_87 = e0)
% 46.11/15.48  																																											| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 46.11/15.48  																																											|
% 46.11/15.48  																																												+-Applying beta-rule and splitting (931), into two cases.
% 46.11/15.48  																																												|-Branch one:
% 46.11/15.48  																																												| (942) all_0_92_92 = e0
% 46.11/15.48  																																												|
% 46.11/15.48  																																													| Combining equations (942,836) yields a new equation:
% 46.11/15.48  																																													| (865) e1 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																													| Equations (865) can reduce 264 to:
% 46.11/15.48  																																													| (311) $false
% 46.11/15.48  																																													|
% 46.11/15.48  																																													|-The branch is then unsatisfiable
% 46.11/15.48  																																												|-Branch two:
% 46.11/15.48  																																												| (946)  ~ (all_0_92_92 = e0)
% 46.11/15.48  																																												| (560) all_0_97_97 = e0
% 46.11/15.48  																																												|
% 46.11/15.48  																																													| Combining equations (610,560) yields a new equation:
% 46.11/15.48  																																													| (911) e4 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																													| Simplifying 911 yields:
% 46.11/15.48  																																													| (912) e4 = e0
% 46.11/15.48  																																													|
% 46.11/15.48  																																													| Equations (912) can reduce 23 to:
% 46.11/15.48  																																													| (311) $false
% 46.11/15.48  																																													|
% 46.11/15.48  																																													|-The branch is then unsatisfiable
% 46.11/15.48  																																	|-Branch two:
% 46.11/15.48  																																	| (840)  ~ (all_0_92_92 = e1)
% 46.11/15.48  																																	| (566) all_0_93_93 = e1
% 46.11/15.48  																																	|
% 46.11/15.48  																																		| Combining equations (566,522) yields a new equation:
% 46.11/15.48  																																		| (385) e2 = e1
% 46.11/15.48  																																		|
% 46.11/15.48  																																		| Equations (385) can reduce 243 to:
% 46.11/15.48  																																		| (311) $false
% 46.11/15.48  																																		|
% 46.11/15.48  																																		|-The branch is then unsatisfiable
% 46.11/15.48  																								|-Branch two:
% 46.11/15.48  																								| (612)  ~ (all_0_84_84 = e2)
% 46.11/15.48  																								| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.11/15.48  																								|
% 46.11/15.48  																									+-Applying beta-rule and splitting (192), into two cases.
% 46.11/15.48  																									|-Branch one:
% 46.11/15.48  																									| (546) all_0_80_80 = e2
% 46.11/15.48  																									|
% 46.11/15.48  																										| Combining equations (546,416) yields a new equation:
% 46.11/15.48  																										| (548) e3 = e2
% 46.11/15.48  																										|
% 46.11/15.48  																										| Equations (548) can reduce 169 to:
% 46.11/15.48  																										| (311) $false
% 46.11/15.48  																										|
% 46.11/15.48  																										|-The branch is then unsatisfiable
% 46.11/15.48  																									|-Branch two:
% 46.11/15.48  																									| (394)  ~ (all_0_80_80 = e2)
% 46.11/15.48  																									| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 46.11/15.48  																									|
% 46.11/15.48  																										+-Applying beta-rule and splitting (533), into two cases.
% 46.11/15.48  																										|-Branch one:
% 46.11/15.48  																										| (453) all_0_83_83 = e2
% 46.11/15.48  																										|
% 46.11/15.48  																											| Equations (453) can reduce 398 to:
% 46.11/15.48  																											| (311) $false
% 46.11/15.48  																											|
% 46.11/15.48  																											|-The branch is then unsatisfiable
% 46.11/15.48  																										|-Branch two:
% 46.11/15.48  																										| (398)  ~ (all_0_83_83 = e2)
% 46.11/15.48  																										| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 46.11/15.48  																										|
% 46.11/15.48  																											+-Applying beta-rule and splitting (551), into two cases.
% 46.11/15.48  																											|-Branch one:
% 46.11/15.48  																											| (552) all_0_84_84 = e2
% 46.11/15.48  																											|
% 46.11/15.48  																												| Equations (552) can reduce 612 to:
% 46.11/15.48  																												| (311) $false
% 46.11/15.48  																												|
% 46.11/15.48  																												|-The branch is then unsatisfiable
% 46.11/15.48  																											|-Branch two:
% 46.11/15.48  																											| (612)  ~ (all_0_84_84 = e2)
% 46.11/15.48  																											| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 46.11/15.48  																											|
% 46.11/15.48  																												+-Applying beta-rule and splitting (617), into two cases.
% 46.11/15.48  																												|-Branch one:
% 46.11/15.48  																												| (1265) all_0_84_84 = e3
% 46.11/15.48  																												|
% 46.11/15.48  																													| Equations (1265) can reduce 422 to:
% 46.11/15.48  																													| (311) $false
% 46.11/15.48  																													|
% 46.11/15.48  																													|-The branch is then unsatisfiable
% 46.11/15.48  																												|-Branch two:
% 46.11/15.48  																												| (422)  ~ (all_0_84_84 = e3)
% 46.11/15.48  																												| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.11/15.48  																												|
% 46.11/15.48  																													+-Applying beta-rule and splitting (1268), into two cases.
% 46.11/15.48  																													|-Branch one:
% 46.11/15.48  																													| (916) all_0_84_84 = e0
% 46.11/15.48  																													|
% 46.11/15.48  																														| Equations (916) can reduce 223 to:
% 46.11/15.48  																														| (1314)  ~ (all_0_83_83 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Equations (916) can reduce 124 to:
% 46.11/15.48  																														| (1317)  ~ (all_0_87_87 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Simplifying 1317 yields:
% 46.11/15.48  																														| (889)  ~ (all_0_87_87 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Equations (916) can reduce 87 to:
% 46.11/15.48  																														| (2299)  ~ (all_0_92_92 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Simplifying 2299 yields:
% 46.11/15.48  																														| (946)  ~ (all_0_92_92 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Equations (916) can reduce 612 to:
% 46.11/15.48  																														| (510)  ~ (e2 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| Simplifying 510 yields:
% 46.11/15.48  																														| (76)  ~ (e2 = e0)
% 46.11/15.48  																														|
% 46.11/15.48  																														| From (916) and (150) follows:
% 46.11/15.48  																														| (11508) op(e3, e0) = all_0_63_63
% 46.11/15.48  																														|
% 46.11/15.48  																														| From (916) and (5563) follows:
% 46.11/15.48  																														| (573) op(e1, e0) = e3
% 46.11/15.48  																														|
% 46.11/15.48  																														+-Applying beta-rule and splitting (537), into two cases.
% 46.11/15.48  																														|-Branch one:
% 46.11/15.48  																														| (552) all_0_84_84 = e2
% 46.11/15.48  																														|
% 46.11/15.48  																															| Combining equations (916,552) yields a new equation:
% 46.11/15.48  																															| (379) e2 = e0
% 46.11/15.48  																															|
% 46.11/15.48  																															| Equations (379) can reduce 76 to:
% 46.11/15.48  																															| (311) $false
% 46.11/15.48  																															|
% 46.11/15.48  																															|-The branch is then unsatisfiable
% 46.11/15.48  																														|-Branch two:
% 46.11/15.48  																														| (612)  ~ (all_0_84_84 = e2)
% 46.11/15.48  																														| (512) all_0_85_85 = e2
% 46.11/15.48  																														|
% 46.11/15.49  																															| Equations (512) can reduce 75 to:
% 46.11/15.49  																															| (1348)  ~ (all_0_98_98 = e2)
% 46.11/15.49  																															|
% 46.11/15.49  																															| Simplifying 1348 yields:
% 46.11/15.49  																															| (1349)  ~ (all_0_98_98 = e2)
% 46.11/15.49  																															|
% 46.11/15.49  																															| From (512) and (8) follows:
% 46.11/15.49  																															| (11271) op(e3, e0) = e2
% 46.11/15.49  																															|
% 46.11/15.49  																															| From (512) and (26) follows:
% 46.11/15.49  																															| (1290) op(e0, e2) = all_0_71_71
% 46.11/15.49  																															|
% 46.11/15.49  																															+-Applying beta-rule and splitting (171), into two cases.
% 46.11/15.49  																															|-Branch one:
% 46.11/15.49  																															| (789) all_0_82_82 = e3
% 46.11/15.49  																															|
% 46.11/15.49  																																| Combining equations (469,789) yields a new equation:
% 46.11/15.49  																																| (790) e4 = e3
% 46.11/15.49  																																|
% 46.11/15.49  																																| Simplifying 790 yields:
% 46.11/15.49  																																| (434) e4 = e3
% 46.11/15.49  																																|
% 46.11/15.49  																																| Equations (434) can reduce 177 to:
% 46.11/15.49  																																| (311) $false
% 46.11/15.49  																																|
% 46.11/15.49  																																|-The branch is then unsatisfiable
% 46.11/15.49  																															|-Branch two:
% 46.11/15.49  																															| (793)  ~ (all_0_82_82 = e3)
% 46.11/15.49  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.11/15.49  																															|
% 46.11/15.49  																																+-Applying beta-rule and splitting (1296), into two cases.
% 46.11/15.49  																																|-Branch one:
% 46.11/15.49  																																| (795) all_0_83_83 = e3
% 46.11/15.49  																																|
% 46.11/15.49  																																	| Equations (795) can reduce 211 to:
% 46.11/15.49  																																	| (1300)  ~ (all_0_96_96 = e3)
% 46.11/15.49  																																	|
% 46.11/15.49  																																	| Simplifying 1300 yields:
% 46.11/15.49  																																	| (964)  ~ (all_0_96_96 = e3)
% 46.11/15.49  																																	|
% 46.11/15.49  																																	+-Applying beta-rule and splitting (377), into two cases.
% 46.11/15.49  																																	|-Branch one:
% 46.11/15.49  																																	| (482) all_0_87_87 = e1
% 46.11/15.49  																																	|
% 46.11/15.49  																																		| Equations (482) can reduce 181 to:
% 46.11/15.49  																																		| (478)  ~ (all_0_88_88 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		| Simplifying 478 yields:
% 46.11/15.49  																																		| (479)  ~ (all_0_88_88 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		| Equations (482) can reduce 94 to:
% 46.11/15.49  																																		| (2131)  ~ (all_0_92_92 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		| Simplifying 2131 yields:
% 46.11/15.49  																																		| (840)  ~ (all_0_92_92 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		| Equations (482) can reduce 227 to:
% 46.11/15.49  																																		| (683)  ~ (e3 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		| Simplifying 683 yields:
% 46.11/15.49  																																		| (20)  ~ (e3 = e1)
% 46.11/15.49  																																		|
% 46.11/15.49  																																		+-Applying beta-rule and splitting (119), into two cases.
% 46.11/15.49  																																		|-Branch one:
% 46.11/15.49  																																		| (1343) all_0_92_92 = e2
% 46.11/15.49  																																		|
% 46.11/15.49  																																			| Equations (1343) can reduce 72 to:
% 46.11/15.49  																																			| (294)  ~ (all_0_90_90 = e2)
% 46.11/15.49  																																			|
% 46.11/15.49  																																			| Equations (1343) can reduce 1619 to:
% 46.11/15.49  																																			| (528)  ~ (e4 = e2)
% 46.11/15.49  																																			|
% 46.11/15.49  																																			| Simplifying 528 yields:
% 46.11/15.49  																																			| (79)  ~ (e4 = e2)
% 46.11/15.49  																																			|
% 46.11/15.49  																																			+-Applying beta-rule and splitting (373), into two cases.
% 46.11/15.49  																																			|-Branch one:
% 46.11/15.49  																																			| (504) all_0_88_88 = e1
% 46.11/15.49  																																			|
% 46.11/15.49  																																				| Equations (504) can reduce 479 to:
% 46.11/15.49  																																				| (311) $false
% 46.11/15.49  																																				|
% 46.11/15.49  																																				|-The branch is then unsatisfiable
% 46.11/15.49  																																			|-Branch two:
% 46.11/15.49  																																			| (479)  ~ (all_0_88_88 = e1)
% 46.11/15.49  																																			| (507) all_0_88_88 = e0
% 46.11/15.49  																																			|
% 46.11/15.49  																																				| Equations (507) can reduce 31 to:
% 46.11/15.49  																																				| (2058)  ~ (all_0_98_98 = e0)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Simplifying 2058 yields:
% 46.11/15.49  																																				| (2059)  ~ (all_0_98_98 = e0)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| From (507) and (239) follows:
% 46.11/15.49  																																				| (1338) op(e0, e0) = all_0_73_73
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Instantiating formula (262) with e3, e0, e2, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e2, yields:
% 46.11/15.49  																																				| (11550) all_0_63_63 = e2
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Instantiating formula (262) with e1, e0, e3, all_0_93_93 and discharging atoms op(e1, e0) = all_0_93_93, op(e1, e0) = e3, yields:
% 46.11/15.49  																																				| (570) all_0_93_93 = e3
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Instantiating formula (262) with e0, e2, all_0_71_71, all_0_96_96 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = all_0_96_96, yields:
% 46.11/15.49  																																				| (1371) all_0_71_71 = all_0_96_96
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_98_98 and discharging atoms op(e0, e0) = all_0_73_73, op(e0, e0) = all_0_98_98, yields:
% 46.11/15.49  																																				| (1370) all_0_73_73 = all_0_98_98
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Equations (11550) can reduce 587 to:
% 46.11/15.49  																																				| (243)  ~ (e2 = e1)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Equations (570) can reduce 34 to:
% 46.11/15.49  																																				| (745)  ~ (all_0_90_90 = e3)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Equations (570) can reduce 44 to:
% 46.11/15.49  																																				| (571)  ~ (all_0_91_91 = e3)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Equations (570) can reduce 496 to:
% 46.11/15.49  																																				| (783)  ~ (e4 = e3)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| Simplifying 783 yields:
% 46.11/15.49  																																				| (177)  ~ (e4 = e3)
% 46.11/15.49  																																				|
% 46.11/15.49  																																				| From (570) and (173) follows:
% 46.11/15.49  																																				| (4654) op(e0, e3) = all_0_75_75
% 46.11/15.49  																																				|
% 46.11/15.49  																																				+-Applying beta-rule and splitting (132), into two cases.
% 46.11/15.49  																																				|-Branch one:
% 46.11/15.49  																																				| (750) all_0_90_90 = e1
% 46.11/15.49  																																				|
% 46.11/15.49  																																					| Equations (750) can reduce 678 to:
% 46.11/15.49  																																					| (311) $false
% 46.11/15.49  																																					|
% 46.11/15.49  																																					|-The branch is then unsatisfiable
% 46.11/15.49  																																				|-Branch two:
% 46.11/15.49  																																				| (678)  ~ (all_0_90_90 = e1)
% 46.11/15.49  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.11/15.49  																																				|
% 46.11/15.49  																																					+-Applying beta-rule and splitting (89), into two cases.
% 46.11/15.49  																																					|-Branch one:
% 46.11/15.49  																																					| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.11/15.49  																																					|
% 46.11/15.49  																																						+-Applying beta-rule and splitting (1373), into two cases.
% 46.11/15.49  																																						|-Branch one:
% 46.11/15.49  																																						| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.11/15.49  																																						|
% 46.11/15.49  																																							+-Applying beta-rule and splitting (1374), into two cases.
% 46.11/15.49  																																							|-Branch one:
% 46.11/15.49  																																							| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.11/15.49  																																							|
% 46.11/15.49  																																								| Applying alpha-rule on (1375) yields:
% 46.11/15.49  																																								| (1376) all_0_69_69 = e4
% 46.11/15.49  																																								| (1377)  ~ (all_0_70_70 = e0)
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Combining equations (1376,18072) yields a new equation:
% 46.11/15.49  																																								| (309) e4 = e2
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Simplifying 309 yields:
% 46.11/15.49  																																								| (310) e4 = e2
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Equations (310) can reduce 79 to:
% 46.11/15.49  																																								| (311) $false
% 46.11/15.49  																																								|
% 46.11/15.49  																																								|-The branch is then unsatisfiable
% 46.11/15.49  																																							|-Branch two:
% 46.11/15.49  																																							| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.11/15.49  																																							|
% 46.11/15.49  																																								| Applying alpha-rule on (1379) yields:
% 46.11/15.49  																																								| (1380) all_0_71_71 = e3
% 46.11/15.49  																																								| (1381)  ~ (all_0_72_72 = e0)
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Combining equations (1380,1371) yields a new equation:
% 46.11/15.49  																																								| (778) all_0_96_96 = e3
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Equations (778) can reduce 964 to:
% 46.11/15.49  																																								| (311) $false
% 46.11/15.49  																																								|
% 46.11/15.49  																																								|-The branch is then unsatisfiable
% 46.11/15.49  																																						|-Branch two:
% 46.11/15.49  																																						| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.11/15.49  																																						|
% 46.11/15.49  																																							| Applying alpha-rule on (1385) yields:
% 46.11/15.49  																																							| (1386) all_0_73_73 = e2
% 46.11/15.49  																																							| (1387)  ~ (all_0_74_74 = e0)
% 46.11/15.49  																																							|
% 46.11/15.49  																																							| Combining equations (1386,1370) yields a new equation:
% 46.11/15.49  																																							| (525) all_0_98_98 = e2
% 46.11/15.49  																																							|
% 46.11/15.49  																																							| Equations (525) can reduce 1349 to:
% 46.11/15.49  																																							| (311) $false
% 46.11/15.49  																																							|
% 46.11/15.49  																																							|-The branch is then unsatisfiable
% 46.11/15.49  																																					|-Branch two:
% 46.11/15.49  																																					| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.11/15.49  																																					|
% 46.11/15.49  																																						| Applying alpha-rule on (1391) yields:
% 46.11/15.49  																																						| (1392) all_0_75_75 = e1
% 46.11/15.49  																																						| (1393)  ~ (all_0_76_76 = e0)
% 46.11/15.49  																																						|
% 46.11/15.49  																																						| From (1392) and (4654) follows:
% 46.11/15.49  																																						| (1511) op(e0, e3) = e1
% 46.11/15.49  																																						|
% 46.11/15.49  																																						+-Applying beta-rule and splitting (1526), into two cases.
% 46.11/15.49  																																						|-Branch one:
% 46.11/15.49  																																						| (801) all_0_91_91 = e1
% 46.11/15.49  																																						|
% 46.11/15.49  																																							| Equations (801) can reduce 103 to:
% 46.11/15.49  																																							| (678)  ~ (all_0_90_90 = e1)
% 46.11/15.49  																																							|
% 46.11/15.49  																																							| Equations (801) can reduce 571 to:
% 46.11/15.49  																																							| (683)  ~ (e3 = e1)
% 46.11/15.49  																																							|
% 46.11/15.49  																																							| Simplifying 683 yields:
% 46.11/15.49  																																							| (20)  ~ (e3 = e1)
% 46.11/15.49  																																							|
% 46.11/15.49  																																							+-Applying beta-rule and splitting (291), into two cases.
% 46.11/15.49  																																							|-Branch one:
% 46.11/15.49  																																							| (758) all_0_90_90 = e0
% 46.11/15.49  																																							|
% 46.11/15.49  																																								| Equations (758) can reduce 745 to:
% 46.11/15.49  																																								| (906)  ~ (e3 = e0)
% 46.11/15.49  																																								|
% 46.11/15.49  																																								| Simplifying 906 yields:
% 46.11/15.49  																																								| (50)  ~ (e3 = e0)
% 46.11/15.49  																																								|
% 46.11/15.49  																																								+-Applying beta-rule and splitting (220), into two cases.
% 46.11/15.49  																																								|-Branch one:
% 46.11/15.49  																																								| (771) all_0_78_78 = e3
% 46.11/15.49  																																								|
% 46.11/15.49  																																									| Combining equations (676,771) yields a new equation:
% 46.11/15.49  																																									| (772) e3 = e1
% 46.11/15.49  																																									|
% 46.11/15.49  																																									| Equations (772) can reduce 20 to:
% 46.11/15.49  																																									| (311) $false
% 46.11/15.49  																																									|
% 46.11/15.49  																																									|-The branch is then unsatisfiable
% 46.11/15.49  																																								|-Branch two:
% 46.11/15.49  																																								| (418)  ~ (all_0_78_78 = e3)
% 46.11/15.49  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.11/15.49  																																								|
% 46.11/15.49  																																									+-Applying beta-rule and splitting (270), into two cases.
% 46.11/15.49  																																									|-Branch one:
% 46.11/15.49  																																									| (744) all_0_95_95 = e3
% 46.11/15.49  																																									|
% 46.11/15.49  																																										| Equations (744) can reduce 107 to:
% 46.11/15.49  																																										| (1518)  ~ (all_0_98_98 = e3)
% 46.11/15.49  																																										|
% 46.11/15.49  																																										| Simplifying 1518 yields:
% 46.11/15.49  																																										| (1519)  ~ (all_0_98_98 = e3)
% 46.11/15.49  																																										|
% 46.11/15.49  																																										| From (744) and (280) follows:
% 46.11/15.49  																																										| (1521) op(e0, e3) = all_0_51_51
% 46.11/15.49  																																										|
% 46.11/15.49  																																										| From (744) and (275) follows:
% 46.11/15.49  																																										| (1522) op(e0, e3) = e3
% 46.11/15.49  																																										|
% 46.11/15.49  																																										+-Applying beta-rule and splitting (48), into two cases.
% 46.11/15.49  																																										|-Branch one:
% 46.11/15.49  																																										| (525) all_0_98_98 = e2
% 46.11/15.49  																																										|
% 46.11/15.49  																																											| Equations (525) can reduce 1349 to:
% 46.11/15.49  																																											| (311) $false
% 46.11/15.49  																																											|
% 46.11/15.49  																																											|-The branch is then unsatisfiable
% 46.11/15.49  																																										|-Branch two:
% 46.11/15.49  																																										| (1349)  ~ (all_0_98_98 = e2)
% 46.11/15.49  																																										| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.11/15.49  																																										|
% 46.11/15.49  																																											+-Applying beta-rule and splitting (5118), into two cases.
% 46.11/15.49  																																											|-Branch one:
% 46.11/15.49  																																											| (1543) all_0_98_98 = e1
% 46.11/15.49  																																											|
% 46.11/15.49  																																												| Equations (1543) can reduce 1519 to:
% 46.11/15.49  																																												| (683)  ~ (e3 = e1)
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Simplifying 683 yields:
% 46.11/15.49  																																												| (20)  ~ (e3 = e1)
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Instantiating formula (262) with e0, e3, e3, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e3, yields:
% 46.11/15.49  																																												| (1551) all_0_51_51 = e3
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Instantiating formula (262) with e0, e3, e1, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e1, yields:
% 46.11/15.49  																																												| (1552) all_0_51_51 = e1
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Combining equations (1551,1552) yields a new equation:
% 46.11/15.49  																																												| (825) e3 = e1
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Simplifying 825 yields:
% 46.11/15.49  																																												| (772) e3 = e1
% 46.11/15.49  																																												|
% 46.11/15.49  																																												| Equations (772) can reduce 20 to:
% 46.11/15.49  																																												| (311) $false
% 46.11/15.49  																																												|
% 46.11/15.49  																																												|-The branch is then unsatisfiable
% 46.11/15.49  																																											|-Branch two:
% 46.11/15.49  																																											| (1804)  ~ (all_0_98_98 = e1)
% 46.11/15.49  																																											| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.11/15.49  																																											|
% 46.11/15.49  																																												+-Applying beta-rule and splitting (5122), into two cases.
% 46.11/15.49  																																												|-Branch one:
% 46.11/15.49  																																												| (969) all_0_98_98 = e3
% 46.11/15.49  																																												|
% 46.11/15.49  																																													| Equations (969) can reduce 1519 to:
% 46.11/15.49  																																													| (311) $false
% 46.11/15.49  																																													|
% 46.11/15.49  																																													|-The branch is then unsatisfiable
% 46.11/15.49  																																												|-Branch two:
% 46.11/15.49  																																												| (1519)  ~ (all_0_98_98 = e3)
% 46.11/15.49  																																												| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.11/15.49  																																												|
% 46.11/15.49  																																													+-Applying beta-rule and splitting (5284), into two cases.
% 46.11/15.49  																																													|-Branch one:
% 46.11/15.49  																																													| (1121) all_0_98_98 = e0
% 46.11/15.49  																																													|
% 46.11/15.49  																																														| Equations (1121) can reduce 2059 to:
% 46.11/15.49  																																														| (311) $false
% 46.11/15.49  																																														|
% 46.11/15.49  																																														|-The branch is then unsatisfiable
% 46.11/15.49  																																													|-Branch two:
% 46.11/15.49  																																													| (2059)  ~ (all_0_98_98 = e0)
% 46.11/15.49  																																													| (2650) all_0_98_98 = e4
% 46.11/15.49  																																													|
% 46.11/15.49  																																														| Equations (2650) can reduce 321 to:
% 46.11/15.49  																																														| (311) $false
% 46.11/15.49  																																														|
% 46.11/15.49  																																														|-The branch is then unsatisfiable
% 46.11/15.50  																																									|-Branch two:
% 46.11/15.50  																																									| (765)  ~ (all_0_95_95 = e3)
% 46.11/15.50  																																									| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 46.11/15.50  																																									|
% 46.11/15.50  																																										+-Applying beta-rule and splitting (775), into two cases.
% 46.11/15.50  																																										|-Branch one:
% 46.11/15.50  																																										| (789) all_0_82_82 = e3
% 46.11/15.50  																																										|
% 46.11/15.50  																																											| Combining equations (469,789) yields a new equation:
% 46.11/15.50  																																											| (790) e4 = e3
% 46.11/15.50  																																											|
% 46.11/15.50  																																											| Simplifying 790 yields:
% 46.11/15.50  																																											| (434) e4 = e3
% 46.11/15.50  																																											|
% 46.11/15.50  																																											| Equations (434) can reduce 177 to:
% 46.11/15.50  																																											| (311) $false
% 46.11/15.50  																																											|
% 46.11/15.50  																																											|-The branch is then unsatisfiable
% 46.11/15.50  																																										|-Branch two:
% 46.11/15.50  																																										| (793)  ~ (all_0_82_82 = e3)
% 46.11/15.50  																																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.11/15.50  																																										|
% 46.11/15.50  																																											+-Applying beta-rule and splitting (794), into two cases.
% 46.11/15.50  																																											|-Branch one:
% 46.11/15.50  																																											| (754) all_0_90_90 = e3
% 46.11/15.50  																																											|
% 46.11/15.50  																																												| Combining equations (758,754) yields a new equation:
% 46.11/15.50  																																												| (600) e3 = e0
% 46.11/15.50  																																												|
% 46.11/15.50  																																												| Equations (600) can reduce 50 to:
% 46.11/15.50  																																												| (311) $false
% 46.11/15.50  																																												|
% 46.11/15.50  																																												|-The branch is then unsatisfiable
% 46.11/15.50  																																											|-Branch two:
% 46.11/15.50  																																											| (745)  ~ (all_0_90_90 = e3)
% 46.11/15.50  																																											| (744) all_0_95_95 = e3
% 46.11/15.50  																																											|
% 46.11/15.50  																																												| Equations (744) can reduce 765 to:
% 46.11/15.50  																																												| (311) $false
% 46.11/15.50  																																												|
% 46.11/15.50  																																												|-The branch is then unsatisfiable
% 46.11/15.50  																																							|-Branch two:
% 46.11/15.50  																																							| (762)  ~ (all_0_90_90 = e0)
% 46.11/15.50  																																							| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.11/15.50  																																							|
% 46.11/15.50  																																								+-Applying beta-rule and splitting (27), into two cases.
% 46.11/15.50  																																								|-Branch one:
% 46.11/15.50  																																								| (746) all_0_90_90 = e2
% 46.11/15.50  																																								|
% 46.11/15.50  																																									| Equations (746) can reduce 294 to:
% 46.11/15.50  																																									| (311) $false
% 46.11/15.50  																																									|
% 46.11/15.50  																																									|-The branch is then unsatisfiable
% 46.11/15.50  																																								|-Branch two:
% 46.11/15.50  																																								| (294)  ~ (all_0_90_90 = e2)
% 46.11/15.50  																																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.11/15.50  																																								|
% 46.11/15.50  																																									+-Applying beta-rule and splitting (749), into two cases.
% 46.11/15.50  																																									|-Branch one:
% 46.11/15.50  																																									| (750) all_0_90_90 = e1
% 46.11/15.50  																																									|
% 46.11/15.50  																																										| Equations (750) can reduce 678 to:
% 46.11/15.50  																																										| (311) $false
% 46.11/15.50  																																										|
% 46.11/15.50  																																										|-The branch is then unsatisfiable
% 46.11/15.50  																																									|-Branch two:
% 46.11/15.50  																																									| (678)  ~ (all_0_90_90 = e1)
% 46.11/15.50  																																									| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 46.11/15.50  																																									|
% 46.11/15.50  																																										+-Applying beta-rule and splitting (753), into two cases.
% 46.11/15.50  																																										|-Branch one:
% 46.11/15.50  																																										| (754) all_0_90_90 = e3
% 46.11/15.50  																																										|
% 46.11/15.50  																																											| Equations (754) can reduce 745 to:
% 46.11/15.50  																																											| (311) $false
% 46.11/15.50  																																											|
% 46.11/15.50  																																											|-The branch is then unsatisfiable
% 46.11/15.50  																																										|-Branch two:
% 46.11/15.50  																																										| (745)  ~ (all_0_90_90 = e3)
% 46.11/15.50  																																										| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 46.11/15.50  																																										|
% 46.11/15.50  																																											+-Applying beta-rule and splitting (757), into two cases.
% 46.11/15.50  																																											|-Branch one:
% 46.11/15.50  																																											| (758) all_0_90_90 = e0
% 46.11/15.50  																																											|
% 46.11/15.50  																																												| Equations (758) can reduce 762 to:
% 46.11/15.50  																																												| (311) $false
% 46.11/15.50  																																												|
% 46.11/15.50  																																												|-The branch is then unsatisfiable
% 46.11/15.50  																																											|-Branch two:
% 46.11/15.50  																																											| (762)  ~ (all_0_90_90 = e0)
% 46.11/15.50  																																											| (583) all_0_90_90 = e4
% 46.11/15.50  																																											|
% 46.11/15.50  																																												| Equations (583) can reduce 467 to:
% 46.11/15.50  																																												| (311) $false
% 46.11/15.50  																																												|
% 46.11/15.50  																																												|-The branch is then unsatisfiable
% 46.11/15.50  																																						|-Branch two:
% 46.11/15.50  																																						| (959)  ~ (all_0_91_91 = e1)
% 46.11/15.50  																																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.11/15.50  																																						|
% 46.11/15.50  																																							+-Applying beta-rule and splitting (1556), into two cases.
% 46.11/15.50  																																							|-Branch one:
% 46.11/15.50  																																							| (836) all_0_92_92 = e1
% 46.11/15.50  																																							|
% 46.11/15.50  																																								| Combining equations (1343,836) yields a new equation:
% 46.11/15.50  																																								| (408) e2 = e1
% 46.11/15.50  																																								|
% 46.11/15.50  																																								| Simplifying 408 yields:
% 46.11/15.50  																																								| (385) e2 = e1
% 46.11/15.50  																																								|
% 46.11/15.50  																																								| Equations (385) can reduce 243 to:
% 46.11/15.50  																																								| (311) $false
% 46.11/15.50  																																								|
% 46.11/15.50  																																								|-The branch is then unsatisfiable
% 46.11/15.50  																																							|-Branch two:
% 46.11/15.50  																																							| (840)  ~ (all_0_92_92 = e1)
% 46.11/15.50  																																							| (566) all_0_93_93 = e1
% 46.11/15.50  																																							|
% 46.11/15.50  																																								| Combining equations (566,570) yields a new equation:
% 46.11/15.50  																																								| (772) e3 = e1
% 46.11/15.50  																																								|
% 46.11/15.50  																																								| Equations (772) can reduce 20 to:
% 46.11/15.50  																																								| (311) $false
% 46.11/15.50  																																								|
% 46.11/15.50  																																								|-The branch is then unsatisfiable
% 46.11/15.50  																																		|-Branch two:
% 46.11/15.50  																																		| (298)  ~ (all_0_92_92 = e2)
% 46.11/15.50  																																		| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.11/15.50  																																		|
% 46.11/15.50  																																			+-Applying beta-rule and splitting (3735), into two cases.
% 46.11/15.50  																																			|-Branch one:
% 46.11/15.50  																																			| (836) all_0_92_92 = e1
% 46.11/15.50  																																			|
% 46.11/15.50  																																				| Equations (836) can reduce 840 to:
% 46.11/15.50  																																				| (311) $false
% 46.11/15.50  																																				|
% 46.11/15.50  																																				|-The branch is then unsatisfiable
% 46.11/15.50  																																			|-Branch two:
% 46.11/15.50  																																			| (840)  ~ (all_0_92_92 = e1)
% 46.11/15.50  																																			| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.11/15.50  																																			|
% 46.11/15.50  																																				+-Applying beta-rule and splitting (3800), into two cases.
% 46.11/15.50  																																				|-Branch one:
% 46.11/15.50  																																				| (882) all_0_92_92 = e3
% 46.11/15.50  																																				|
% 46.11/15.50  																																					| Equations (882) can reduce 426 to:
% 46.11/15.50  																																					| (311) $false
% 46.11/15.50  																																					|
% 46.11/15.50  																																					|-The branch is then unsatisfiable
% 46.11/15.50  																																				|-Branch two:
% 46.11/15.50  																																				| (426)  ~ (all_0_92_92 = e3)
% 46.11/15.50  																																				| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 46.11/15.50  																																				|
% 46.11/15.50  																																					+-Applying beta-rule and splitting (16683), into two cases.
% 46.11/15.50  																																					|-Branch one:
% 46.11/15.50  																																					| (942) all_0_92_92 = e0
% 46.11/15.50  																																					|
% 46.11/15.50  																																						| Equations (942) can reduce 946 to:
% 46.11/15.50  																																						| (311) $false
% 46.11/15.50  																																						|
% 46.11/15.50  																																						|-The branch is then unsatisfiable
% 46.11/15.50  																																					|-Branch two:
% 46.11/15.50  																																					| (946)  ~ (all_0_92_92 = e0)
% 46.11/15.50  																																					| (442) all_0_92_92 = e4
% 46.11/15.50  																																					|
% 46.11/15.50  																																						| Equations (442) can reduce 1619 to:
% 46.11/15.50  																																						| (311) $false
% 46.11/15.50  																																						|
% 46.11/15.50  																																						|-The branch is then unsatisfiable
% 46.11/15.50  																																	|-Branch two:
% 46.11/15.50  																																	| (625)  ~ (all_0_87_87 = e1)
% 46.11/15.50  																																	| (861) all_0_87_87 = e0
% 46.11/15.50  																																	|
% 46.11/15.50  																																		| Equations (861) can reduce 889 to:
% 46.11/15.50  																																		| (311) $false
% 46.11/15.50  																																		|
% 46.11/15.50  																																		|-The branch is then unsatisfiable
% 46.11/15.50  																																|-Branch two:
% 46.11/15.50  																																| (779)  ~ (all_0_83_83 = e3)
% 46.11/15.50  																																| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.11/15.50  																																|
% 46.11/15.50  																																	+-Applying beta-rule and splitting (456), into two cases.
% 46.11/15.50  																																	|-Branch one:
% 46.11/15.50  																																	| (795) all_0_83_83 = e3
% 46.11/15.50  																																	|
% 46.11/15.50  																																		| Equations (795) can reduce 779 to:
% 46.11/15.50  																																		| (311) $false
% 46.11/15.50  																																		|
% 46.11/15.50  																																		|-The branch is then unsatisfiable
% 46.11/15.50  																																	|-Branch two:
% 46.11/15.50  																																	| (779)  ~ (all_0_83_83 = e3)
% 46.11/15.50  																																	| (798) all_0_83_83 = e0
% 46.11/15.50  																																	|
% 46.11/15.50  																																		| Equations (798) can reduce 1314 to:
% 46.11/15.50  																																		| (311) $false
% 46.11/15.50  																																		|
% 46.11/15.50  																																		|-The branch is then unsatisfiable
% 46.11/15.50  																													|-Branch two:
% 46.11/15.50  																													| (919)  ~ (all_0_84_84 = e0)
% 46.11/15.50  																													| (438) all_0_84_84 = e4
% 46.11/15.50  																													|
% 46.11/15.50  																														| Equations (438) can reduce 417 to:
% 46.11/15.50  																														| (311) $false
% 46.11/15.50  																														|
% 46.11/15.50  																														|-The branch is then unsatisfiable
% 46.11/15.50  																						|-Branch two:
% 46.11/15.50  																						| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.11/15.50  																						|
% 46.11/15.50  																							| Applying alpha-rule on (590) yields:
% 46.11/15.50  																							| (591) all_0_64_64 = e2
% 46.11/15.50  																							| (592)  ~ (all_0_65_65 = e1)
% 46.11/15.50  																							|
% 46.11/15.50  																							| From (591) and (16) follows:
% 46.11/15.50  																							| (4482) op(e1, all_0_87_87) = e2
% 46.11/15.50  																							|
% 46.11/15.50  																							+-Applying beta-rule and splitting (92), into two cases.
% 46.11/15.50  																							|-Branch one:
% 46.11/15.50  																							| (552) all_0_84_84 = e2
% 46.11/15.50  																							|
% 46.11/15.50  																								| Equations (552) can reduce 223 to:
% 46.11/15.50  																								| (398)  ~ (all_0_83_83 = e2)
% 46.11/15.50  																								|
% 46.11/15.50  																								| Equations (552) can reduce 87 to:
% 46.11/15.50  																								| (297)  ~ (all_0_92_92 = e2)
% 46.11/15.50  																								|
% 46.11/15.50  																								| Simplifying 297 yields:
% 46.11/15.50  																								| (298)  ~ (all_0_92_92 = e2)
% 46.11/15.50  																								|
% 46.11/15.50  																								| Equations (552) can reduce 417 to:
% 46.11/15.50  																								| (528)  ~ (e4 = e2)
% 46.11/15.50  																								|
% 46.11/15.50  																								| Simplifying 528 yields:
% 46.11/15.50  																								| (79)  ~ (e4 = e2)
% 46.11/15.50  																								|
% 46.11/15.50  																								+-Applying beta-rule and splitting (236), into two cases.
% 46.11/15.50  																								|-Branch one:
% 46.11/15.50  																								| (292) all_0_89_89 = e2
% 46.11/15.50  																								|
% 46.11/15.50  																									| Combining equations (308,292) yields a new equation:
% 46.11/15.50  																									| (309) e4 = e2
% 46.11/15.50  																									|
% 46.11/15.50  																									| Simplifying 309 yields:
% 46.11/15.50  																									| (310) e4 = e2
% 46.11/15.50  																									|
% 46.11/15.50  																									| Equations (310) can reduce 79 to:
% 46.11/15.50  																									| (311) $false
% 46.11/15.50  																									|
% 46.11/15.50  																									|-The branch is then unsatisfiable
% 46.11/15.50  																								|-Branch two:
% 46.11/15.50  																								| (30522)  ~ (all_0_89_89 = e2)
% 46.11/15.50  																								| (30794) all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.11/15.50  																								|
% 46.11/15.50  																									+-Applying beta-rule and splitting (30794), into two cases.
% 46.11/15.50  																									|-Branch one:
% 46.11/15.50  																									| (746) all_0_90_90 = e2
% 46.11/15.50  																									|
% 46.11/15.50  																										| Equations (746) can reduce 294 to:
% 46.11/15.50  																										| (311) $false
% 46.11/15.50  																										|
% 46.11/15.50  																										|-The branch is then unsatisfiable
% 46.11/15.50  																									|-Branch two:
% 46.11/15.50  																									| (294)  ~ (all_0_90_90 = e2)
% 46.11/15.51  																									| (30798) all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.11/15.51  																									|
% 46.15/15.51  																										+-Applying beta-rule and splitting (30798), into two cases.
% 46.15/15.51  																										|-Branch one:
% 46.15/15.51  																										| (1723) all_0_91_91 = e2
% 46.15/15.51  																										|
% 46.15/15.51  																											| Equations (1723) can reduce 296 to:
% 46.15/15.51  																											| (311) $false
% 46.15/15.51  																											|
% 46.15/15.51  																											|-The branch is then unsatisfiable
% 46.15/15.51  																										|-Branch two:
% 46.15/15.51  																										| (296)  ~ (all_0_91_91 = e2)
% 46.15/15.51  																										| (30802) all_0_92_92 = e2 | all_0_93_93 = e2
% 46.15/15.51  																										|
% 46.15/15.51  																											+-Applying beta-rule and splitting (30802), into two cases.
% 46.15/15.51  																											|-Branch one:
% 46.15/15.51  																											| (1343) all_0_92_92 = e2
% 46.15/15.51  																											|
% 46.15/15.51  																												| Equations (1343) can reduce 298 to:
% 46.15/15.51  																												| (311) $false
% 46.15/15.51  																												|
% 46.15/15.51  																												|-The branch is then unsatisfiable
% 46.15/15.51  																											|-Branch two:
% 46.15/15.51  																											| (298)  ~ (all_0_92_92 = e2)
% 46.15/15.51  																											| (522) all_0_93_93 = e2
% 46.15/15.51  																											|
% 46.15/15.51  																												| Equations (522) can reduce 201 to:
% 46.15/15.51  																												| (515)  ~ (all_0_85_85 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Equations (522) can reduce 34 to:
% 46.15/15.51  																												| (294)  ~ (all_0_90_90 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Equations (522) can reduce 44 to:
% 46.15/15.51  																												| (296)  ~ (all_0_91_91 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Equations (522) can reduce 283 to:
% 46.15/15.51  																												| (298)  ~ (all_0_92_92 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Equations (522) can reduce 13 to:
% 46.15/15.51  																												| (1348)  ~ (all_0_98_98 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Simplifying 1348 yields:
% 46.15/15.51  																												| (1349)  ~ (all_0_98_98 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Equations (522) can reduce 496 to:
% 46.15/15.51  																												| (528)  ~ (e4 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| Simplifying 528 yields:
% 46.15/15.51  																												| (79)  ~ (e4 = e2)
% 46.15/15.51  																												|
% 46.15/15.51  																												| From (522) and (173) follows:
% 46.15/15.51  																												| (31272) op(e0, e2) = all_0_75_75
% 46.15/15.51  																												|
% 46.15/15.51  																												| Instantiating formula (262) with e0, e2, all_0_75_75, all_0_96_96 and discharging atoms op(e0, e2) = all_0_75_75, op(e0, e2) = all_0_96_96, yields:
% 46.15/15.51  																												| (31273) all_0_75_75 = all_0_96_96
% 46.15/15.51  																												|
% 46.15/15.51  																												+-Applying beta-rule and splitting (219), into two cases.
% 46.15/15.51  																												|-Branch one:
% 46.15/15.51  																												| (798) all_0_83_83 = e0
% 46.15/15.51  																												|
% 46.15/15.51  																													| Equations (798) can reduce 226 to:
% 46.15/15.51  																													| (799)  ~ (all_0_85_85 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| Simplifying 799 yields:
% 46.15/15.51  																													| (800)  ~ (all_0_85_85 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| Equations (798) can reduce 211 to:
% 46.15/15.51  																													| (2296)  ~ (all_0_96_96 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| Simplifying 2296 yields:
% 46.15/15.51  																													| (2095)  ~ (all_0_96_96 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| Equations (798) can reduce 155 to:
% 46.15/15.51  																													| (904)  ~ (e4 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| Simplifying 904 yields:
% 46.15/15.51  																													| (23)  ~ (e4 = e0)
% 46.15/15.51  																													|
% 46.15/15.51  																													| From (798) and (206) follows:
% 46.15/15.51  																													| (8092) op(e2, e0) = all_0_54_54
% 46.15/15.51  																													|
% 46.15/15.51  																													+-Applying beta-rule and splitting (182), into two cases.
% 46.15/15.51  																													|-Branch one:
% 46.15/15.51  																													| (512) all_0_85_85 = e2
% 46.15/15.51  																													|
% 46.15/15.51  																														| Equations (512) can reduce 515 to:
% 46.15/15.51  																														| (311) $false
% 46.15/15.51  																														|
% 46.15/15.51  																														|-The branch is then unsatisfiable
% 46.15/15.51  																													|-Branch two:
% 46.15/15.51  																													| (515)  ~ (all_0_85_85 = e2)
% 46.15/15.51  																													| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.15/15.51  																													|
% 46.15/15.51  																														+-Applying beta-rule and splitting (725), into two cases.
% 46.15/15.51  																														|-Branch one:
% 46.15/15.51  																														| (804) all_0_85_85 = e3
% 46.15/15.51  																														|
% 46.15/15.51  																															| Equations (804) can reduce 78 to:
% 46.15/15.51  																															| (805)  ~ (all_0_88_88 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Simplifying 805 yields:
% 46.15/15.51  																															| (191)  ~ (all_0_88_88 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Equations (804) can reduce 75 to:
% 46.15/15.51  																															| (1518)  ~ (all_0_98_98 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Simplifying 1518 yields:
% 46.15/15.51  																															| (1519)  ~ (all_0_98_98 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Equations (804) can reduce 648 to:
% 46.15/15.51  																															| (783)  ~ (e4 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Simplifying 783 yields:
% 46.15/15.51  																															| (177)  ~ (e4 = e3)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Equations (804) can reduce 128 to:
% 46.15/15.51  																															| (20)  ~ (e3 = e1)
% 46.15/15.51  																															|
% 46.15/15.51  																															| Equations (804) can reduce 800 to:
% 46.15/15.51  																															| (50)  ~ (e3 = e0)
% 46.15/15.51  																															|
% 46.15/15.51  																															| From (804) and (26) follows:
% 46.15/15.51  																															| (1891) op(e0, e3) = all_0_71_71
% 46.15/15.51  																															|
% 46.15/15.51  																															| Instantiating formula (262) with e2, e0, all_0_54_54, all_0_88_88 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = all_0_88_88, yields:
% 46.15/15.51  																															| (8093) all_0_54_54 = all_0_88_88
% 46.15/15.51  																															|
% 46.15/15.51  																															| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 46.15/15.51  																															| (14316) all_0_71_71 = all_0_95_95
% 46.15/15.51  																															|
% 46.15/15.51  																															| From (8093) and (8092) follows:
% 46.15/15.51  																															| (230) op(e2, e0) = all_0_88_88
% 46.15/15.51  																															|
% 46.15/15.51  																															+-Applying beta-rule and splitting (270), into two cases.
% 46.15/15.51  																															|-Branch one:
% 46.15/15.51  																															| (744) all_0_95_95 = e3
% 46.15/15.51  																															|
% 46.15/15.51  																																+-Applying beta-rule and splitting (102), into two cases.
% 46.15/15.51  																																|-Branch one:
% 46.15/15.51  																																| (858) all_0_95_95 = e0
% 46.15/15.51  																																|
% 46.15/15.51  																																	| Combining equations (858,744) yields a new equation:
% 46.15/15.51  																																	| (600) e3 = e0
% 46.15/15.51  																																	|
% 46.15/15.51  																																	| Equations (600) can reduce 50 to:
% 46.15/15.51  																																	| (311) $false
% 46.15/15.51  																																	|
% 46.15/15.51  																																	|-The branch is then unsatisfiable
% 46.15/15.51  																																|-Branch two:
% 46.15/15.51  																																| (893)  ~ (all_0_95_95 = e0)
% 46.15/15.51  																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.15/15.51  																																|
% 46.15/15.51  																																	+-Applying beta-rule and splitting (1921), into two cases.
% 46.15/15.51  																																	|-Branch one:
% 46.15/15.51  																																	| (1837) all_0_96_96 = e0
% 46.15/15.51  																																	|
% 46.15/15.51  																																		| Equations (1837) can reduce 2095 to:
% 46.15/15.51  																																		| (311) $false
% 46.15/15.51  																																		|
% 46.15/15.51  																																		|-The branch is then unsatisfiable
% 46.15/15.51  																																	|-Branch two:
% 46.15/15.51  																																	| (2095)  ~ (all_0_96_96 = e0)
% 46.15/15.51  																																	| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.15/15.51  																																	|
% 46.15/15.51  																																		+-Applying beta-rule and splitting (2096), into two cases.
% 46.15/15.51  																																		|-Branch one:
% 46.15/15.51  																																		| (560) all_0_97_97 = e0
% 46.15/15.51  																																		|
% 46.15/15.51  																																			| Combining equations (610,560) yields a new equation:
% 46.15/15.51  																																			| (911) e4 = e0
% 46.15/15.51  																																			|
% 46.15/15.51  																																			| Simplifying 911 yields:
% 46.15/15.51  																																			| (912) e4 = e0
% 46.15/15.51  																																			|
% 46.15/15.51  																																			| Equations (912) can reduce 23 to:
% 46.15/15.51  																																			| (311) $false
% 46.15/15.51  																																			|
% 46.15/15.51  																																			|-The branch is then unsatisfiable
% 46.15/15.51  																																		|-Branch two:
% 46.15/15.51  																																		| (609)  ~ (all_0_97_97 = e0)
% 46.15/15.51  																																		| (1121) all_0_98_98 = e0
% 46.15/15.51  																																		|
% 46.15/15.51  																																			| Equations (1121) can reduce 31 to:
% 46.15/15.51  																																			| (1110)  ~ (all_0_88_88 = e0)
% 46.15/15.51  																																			|
% 46.15/15.51  																																			+-Applying beta-rule and splitting (382), into two cases.
% 46.15/15.51  																																			|-Branch one:
% 46.15/15.51  																																			| (861) all_0_87_87 = e0
% 46.15/15.51  																																			|
% 46.15/15.51  																																				| Equations (861) can reduce 181 to:
% 46.15/15.51  																																				| (2507)  ~ (all_0_88_88 = e0)
% 46.15/15.51  																																				|
% 46.15/15.51  																																				| Simplifying 2507 yields:
% 46.15/15.51  																																				| (1110)  ~ (all_0_88_88 = e0)
% 46.15/15.51  																																				|
% 46.15/15.51  																																				| From (861) and (83) follows:
% 46.15/15.52  																																				| (6142) op(e2, e0) = all_0_65_65
% 46.15/15.52  																																				|
% 46.15/15.52  																																				+-Applying beta-rule and splitting (373), into two cases.
% 46.15/15.52  																																				|-Branch one:
% 46.15/15.52  																																				| (504) all_0_88_88 = e1
% 46.15/15.52  																																				|
% 46.15/15.52  																																					| From (504) and (230) follows:
% 46.15/15.52  																																					| (2305) op(e2, e0) = e1
% 46.15/15.52  																																					|
% 46.15/15.52  																																					| Instantiating formula (262) with e2, e0, e1, all_0_65_65 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e1, yields:
% 46.15/15.52  																																					| (6145) all_0_65_65 = e1
% 46.15/15.52  																																					|
% 46.15/15.52  																																					| Equations (6145) can reduce 592 to:
% 46.15/15.52  																																					| (311) $false
% 46.15/15.52  																																					|
% 46.15/15.52  																																					|-The branch is then unsatisfiable
% 46.15/15.52  																																				|-Branch two:
% 46.15/15.52  																																				| (479)  ~ (all_0_88_88 = e1)
% 46.15/15.52  																																				| (507) all_0_88_88 = e0
% 46.15/15.52  																																				|
% 46.15/15.52  																																					| Equations (507) can reduce 1110 to:
% 46.15/15.52  																																					| (311) $false
% 46.15/15.52  																																					|
% 46.15/15.52  																																					|-The branch is then unsatisfiable
% 46.15/15.52  																																			|-Branch two:
% 46.15/15.52  																																			| (889)  ~ (all_0_87_87 = e0)
% 46.15/15.52  																																			| (507) all_0_88_88 = e0
% 46.15/15.52  																																			|
% 46.15/15.52  																																				| Equations (507) can reduce 1110 to:
% 46.15/15.52  																																				| (311) $false
% 46.15/15.52  																																				|
% 46.15/15.52  																																				|-The branch is then unsatisfiable
% 46.15/15.52  																															|-Branch two:
% 46.15/15.52  																															| (765)  ~ (all_0_95_95 = e3)
% 46.15/15.52  																															| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 46.15/15.52  																															|
% 46.15/15.52  																																+-Applying beta-rule and splitting (99), into two cases.
% 46.15/15.52  																																|-Branch one:
% 46.15/15.52  																																| (767) all_0_95_95 = e2
% 46.15/15.52  																																|
% 46.15/15.52  																																	| Equations (767) can reduce 355 to:
% 46.15/15.52  																																	| (311) $false
% 46.15/15.52  																																	|
% 46.15/15.52  																																	|-The branch is then unsatisfiable
% 46.15/15.52  																																|-Branch two:
% 46.15/15.52  																																| (355)  ~ (all_0_95_95 = e2)
% 46.15/15.52  																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.15/15.52  																																|
% 46.15/15.52  																																	+-Applying beta-rule and splitting (766), into two cases.
% 46.15/15.52  																																	|-Branch one:
% 46.15/15.52  																																	| (778) all_0_96_96 = e3
% 46.15/15.52  																																	|
% 46.15/15.52  																																		| Combining equations (778,31273) yields a new equation:
% 46.15/15.52  																																		| (9862) all_0_75_75 = e3
% 46.15/15.52  																																		|
% 46.15/15.52  																																		| Equations (778) can reduce 64 to:
% 46.15/15.52  																																		| (571)  ~ (all_0_91_91 = e3)
% 46.15/15.52  																																		|
% 46.15/15.52  																																		| Equations (778) can reduce 279 to:
% 46.15/15.52  																																		| (765)  ~ (all_0_95_95 = e3)
% 46.15/15.52  																																		|
% 46.15/15.52  																																		| Equations (778) can reduce 115 to:
% 46.15/15.52  																																		| (783)  ~ (e4 = e3)
% 46.15/15.52  																																		|
% 46.15/15.52  																																		| Simplifying 783 yields:
% 46.15/15.52  																																		| (177)  ~ (e4 = e3)
% 46.15/15.52  																																		|
% 46.15/15.52  																																		+-Applying beta-rule and splitting (284), into two cases.
% 46.15/15.52  																																		|-Branch one:
% 46.15/15.52  																																		| (1723) all_0_91_91 = e2
% 46.15/15.52  																																		|
% 46.15/15.52  																																			| Equations (1723) can reduce 296 to:
% 46.15/15.52  																																			| (311) $false
% 46.15/15.52  																																			|
% 46.15/15.52  																																			|-The branch is then unsatisfiable
% 46.15/15.52  																																		|-Branch two:
% 46.15/15.52  																																		| (296)  ~ (all_0_91_91 = e2)
% 46.15/15.52  																																		| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.15/15.52  																																		|
% 46.15/15.52  																																			+-Applying beta-rule and splitting (282), into two cases.
% 46.15/15.52  																																			|-Branch one:
% 46.15/15.52  																																			| (754) all_0_90_90 = e3
% 46.15/15.52  																																			|
% 46.15/15.52  																																				| Equations (754) can reduce 103 to:
% 46.15/15.52  																																				| (1298)  ~ (all_0_91_91 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Simplifying 1298 yields:
% 46.15/15.52  																																				| (571)  ~ (all_0_91_91 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Equations (754) can reduce 72 to:
% 46.15/15.52  																																				| (425)  ~ (all_0_92_92 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Simplifying 425 yields:
% 46.15/15.52  																																				| (426)  ~ (all_0_92_92 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Equations (754) can reduce 229 to:
% 46.15/15.52  																																				| (1070)  ~ (all_0_95_95 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Simplifying 1070 yields:
% 46.15/15.52  																																				| (765)  ~ (all_0_95_95 = e3)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				| Equations (754) can reduce 678 to:
% 46.15/15.52  																																				| (20)  ~ (e3 = e1)
% 46.15/15.52  																																				|
% 46.15/15.52  																																				+-Applying beta-rule and splitting (1726), into two cases.
% 46.15/15.52  																																				|-Branch one:
% 46.15/15.52  																																				| (801) all_0_91_91 = e1
% 46.15/15.52  																																				|
% 46.15/15.52  																																					| Equations (801) can reduce 265 to:
% 46.15/15.52  																																					| (2131)  ~ (all_0_92_92 = e1)
% 46.15/15.52  																																					|
% 46.15/15.52  																																					| Simplifying 2131 yields:
% 46.15/15.52  																																					| (840)  ~ (all_0_92_92 = e1)
% 46.15/15.52  																																					|
% 46.15/15.52  																																					| Equations (801) can reduce 571 to:
% 46.15/15.52  																																					| (683)  ~ (e3 = e1)
% 46.15/15.52  																																					|
% 46.15/15.52  																																					| Simplifying 683 yields:
% 46.15/15.52  																																					| (20)  ~ (e3 = e1)
% 46.15/15.52  																																					|
% 46.15/15.52  																																					+-Applying beta-rule and splitting (119), into two cases.
% 46.15/15.52  																																					|-Branch one:
% 46.15/15.52  																																					| (1343) all_0_92_92 = e2
% 46.15/15.52  																																					|
% 46.15/15.52  																																						| Equations (1343) can reduce 298 to:
% 46.15/15.52  																																						| (311) $false
% 46.15/15.52  																																						|
% 46.15/15.52  																																						|-The branch is then unsatisfiable
% 46.15/15.52  																																					|-Branch two:
% 46.15/15.52  																																					| (298)  ~ (all_0_92_92 = e2)
% 46.15/15.52  																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.15/15.52  																																					|
% 46.15/15.52  																																						+-Applying beta-rule and splitting (3735), into two cases.
% 46.15/15.52  																																						|-Branch one:
% 46.15/15.52  																																						| (836) all_0_92_92 = e1
% 46.15/15.52  																																						|
% 46.15/15.52  																																							| Equations (836) can reduce 840 to:
% 46.15/15.52  																																							| (311) $false
% 46.15/15.52  																																							|
% 46.15/15.52  																																							|-The branch is then unsatisfiable
% 46.15/15.52  																																						|-Branch two:
% 46.15/15.52  																																						| (840)  ~ (all_0_92_92 = e1)
% 46.15/15.52  																																						| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.15/15.52  																																						|
% 46.15/15.52  																																							+-Applying beta-rule and splitting (3800), into two cases.
% 46.15/15.52  																																							|-Branch one:
% 46.15/15.52  																																							| (882) all_0_92_92 = e3
% 46.15/15.52  																																							|
% 46.15/15.52  																																								| Equations (882) can reduce 426 to:
% 46.15/15.52  																																								| (311) $false
% 46.15/15.52  																																								|
% 46.15/15.52  																																								|-The branch is then unsatisfiable
% 46.15/15.52  																																							|-Branch two:
% 46.15/15.52  																																							| (426)  ~ (all_0_92_92 = e3)
% 46.15/15.52  																																							| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 46.15/15.52  																																							|
% 46.15/15.52  																																								+-Applying beta-rule and splitting (770), into two cases.
% 46.15/15.52  																																								|-Branch one:
% 46.15/15.52  																																								| (785) all_0_95_95 = e1
% 46.15/15.52  																																								|
% 46.15/15.52  																																									| Equations (785) can reduce 680 to:
% 46.15/15.52  																																									| (311) $false
% 46.15/15.52  																																									|
% 46.15/15.52  																																									|-The branch is then unsatisfiable
% 46.15/15.52  																																								|-Branch two:
% 46.15/15.52  																																								| (680)  ~ (all_0_95_95 = e1)
% 46.15/15.52  																																								| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.15/15.52  																																								|
% 46.15/15.52  																																									+-Applying beta-rule and splitting (176), into two cases.
% 46.15/15.52  																																									|-Branch one:
% 46.15/15.52  																																									| (785) all_0_95_95 = e1
% 46.15/15.52  																																									|
% 46.15/15.52  																																										| Equations (785) can reduce 680 to:
% 46.15/15.52  																																										| (311) $false
% 46.15/15.52  																																										|
% 46.15/15.52  																																										|-The branch is then unsatisfiable
% 46.15/15.52  																																									|-Branch two:
% 46.15/15.52  																																									| (680)  ~ (all_0_95_95 = e1)
% 46.15/15.52  																																									| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.15/15.52  																																									|
% 46.15/15.52  																																										+-Applying beta-rule and splitting (16683), into two cases.
% 46.15/15.52  																																										|-Branch one:
% 46.15/15.52  																																										| (942) all_0_92_92 = e0
% 46.15/15.52  																																										|
% 46.15/15.52  																																											| Equations (942) can reduce 94 to:
% 46.15/15.52  																																											| (889)  ~ (all_0_87_87 = e0)
% 46.15/15.52  																																											|
% 46.15/15.52  																																											| From (942) and (135) follows:
% 46.15/15.52  																																											| (4548) op(e1, e1) = e0
% 46.15/15.52  																																											|
% 46.15/15.52  																																											+-Applying beta-rule and splitting (89), into two cases.
% 46.15/15.52  																																											|-Branch one:
% 46.15/15.52  																																											| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.15/15.52  																																											|
% 46.15/15.52  																																												+-Applying beta-rule and splitting (1373), into two cases.
% 46.15/15.52  																																												|-Branch one:
% 46.15/15.52  																																												| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.15/15.52  																																												|
% 46.15/15.52  																																													+-Applying beta-rule and splitting (1374), into two cases.
% 46.15/15.52  																																													|-Branch one:
% 46.15/15.52  																																													| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.15/15.52  																																													|
% 46.15/15.52  																																														| Applying alpha-rule on (1375) yields:
% 46.15/15.52  																																														| (1376) all_0_69_69 = e4
% 46.15/15.52  																																														| (1377)  ~ (all_0_70_70 = e0)
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Combining equations (1376,18072) yields a new equation:
% 46.15/15.52  																																														| (309) e4 = e2
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Simplifying 309 yields:
% 46.15/15.52  																																														| (310) e4 = e2
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Equations (310) can reduce 79 to:
% 46.15/15.52  																																														| (311) $false
% 46.15/15.52  																																														|
% 46.15/15.52  																																														|-The branch is then unsatisfiable
% 46.15/15.52  																																													|-Branch two:
% 46.15/15.52  																																													| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.15/15.52  																																													|
% 46.15/15.52  																																														| Applying alpha-rule on (1379) yields:
% 46.15/15.52  																																														| (1380) all_0_71_71 = e3
% 46.15/15.52  																																														| (1381)  ~ (all_0_72_72 = e0)
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Combining equations (14316,1380) yields a new equation:
% 46.15/15.52  																																														| (15854) all_0_95_95 = e3
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Simplifying 15854 yields:
% 46.15/15.52  																																														| (744) all_0_95_95 = e3
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Equations (744) can reduce 765 to:
% 46.15/15.52  																																														| (311) $false
% 46.15/15.52  																																														|
% 46.15/15.52  																																														|-The branch is then unsatisfiable
% 46.15/15.52  																																												|-Branch two:
% 46.15/15.52  																																												| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.15/15.52  																																												|
% 46.15/15.52  																																													| Applying alpha-rule on (1385) yields:
% 46.15/15.52  																																													| (1386) all_0_73_73 = e2
% 46.15/15.52  																																													| (1387)  ~ (all_0_74_74 = e0)
% 46.15/15.52  																																													|
% 46.15/15.52  																																													| From (1386) and (239) follows:
% 46.15/15.52  																																													| (2776) op(e0, all_0_88_88) = e2
% 46.15/15.52  																																													|
% 46.15/15.52  																																													+-Applying beta-rule and splitting (788), into two cases.
% 46.15/15.52  																																													|-Branch one:
% 46.15/15.52  																																													| (960) all_0_96_96 = e1
% 46.15/15.52  																																													|
% 46.15/15.52  																																														| Combining equations (778,960) yields a new equation:
% 46.15/15.52  																																														| (825) e3 = e1
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Simplifying 825 yields:
% 46.15/15.52  																																														| (772) e3 = e1
% 46.15/15.52  																																														|
% 46.15/15.52  																																														| Equations (772) can reduce 20 to:
% 46.15/15.52  																																														| (311) $false
% 46.15/15.52  																																														|
% 46.15/15.52  																																														|-The branch is then unsatisfiable
% 46.15/15.52  																																													|-Branch two:
% 46.15/15.52  																																													| (1479)  ~ (all_0_96_96 = e1)
% 46.15/15.52  																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.15/15.52  																																													|
% 46.15/15.52  																																														+-Applying beta-rule and splitting (377), into two cases.
% 46.15/15.52  																																														|-Branch one:
% 46.15/15.52  																																														| (482) all_0_87_87 = e1
% 46.15/15.52  																																														|
% 46.15/15.52  																																															| Equations (482) can reduce 216 to:
% 46.15/15.52  																																															| (681)  ~ (e4 = e1)
% 46.15/15.52  																																															|
% 46.15/15.52  																																															| Simplifying 681 yields:
% 46.15/15.52  																																															| (256)  ~ (e4 = e1)
% 46.15/15.52  																																															|
% 46.15/15.52  																																															| Equations (482) can reduce 889 to:
% 46.15/15.52  																																															| (264)  ~ (e1 = e0)
% 46.15/15.52  																																															|
% 46.15/15.52  																																															| From (482) and (4482) follows:
% 46.15/15.53  																																															| (4530) op(e1, e1) = e2
% 46.15/15.53  																																															|
% 46.15/15.53  																																															+-Applying beta-rule and splitting (382), into two cases.
% 46.15/15.53  																																															|-Branch one:
% 46.15/15.53  																																															| (861) all_0_87_87 = e0
% 46.15/15.53  																																															|
% 46.15/15.53  																																																| Combining equations (861,482) yields a new equation:
% 46.15/15.53  																																																| (865) e1 = e0
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Equations (865) can reduce 264 to:
% 46.15/15.53  																																																| (311) $false
% 46.15/15.53  																																																|
% 46.15/15.53  																																																|-The branch is then unsatisfiable
% 46.15/15.53  																																															|-Branch two:
% 46.15/15.53  																																															| (889)  ~ (all_0_87_87 = e0)
% 46.15/15.53  																																															| (507) all_0_88_88 = e0
% 46.15/15.53  																																															|
% 46.15/15.53  																																																| Equations (507) can reduce 31 to:
% 46.15/15.53  																																																| (2058)  ~ (all_0_98_98 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Simplifying 2058 yields:
% 46.15/15.53  																																																| (2059)  ~ (all_0_98_98 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Equations (507) can reduce 93 to:
% 46.15/15.53  																																																| (904)  ~ (e4 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Simplifying 904 yields:
% 46.15/15.53  																																																| (23)  ~ (e4 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Equations (507) can reduce 191 to:
% 46.15/15.53  																																																| (906)  ~ (e3 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| Simplifying 906 yields:
% 46.15/15.53  																																																| (50)  ~ (e3 = e0)
% 46.15/15.53  																																																|
% 46.15/15.53  																																																| From (507) and (2776) follows:
% 46.15/15.53  																																																| (2408) op(e0, e0) = e2
% 46.15/15.53  																																																|
% 46.15/15.53  																																																+-Applying beta-rule and splitting (108), into two cases.
% 46.15/15.53  																																																|-Branch one:
% 46.15/15.53  																																																| (477) all_0_81_81 = e1
% 46.15/15.53  																																																|
% 46.15/15.53  																																																	| Combining equations (638,477) yields a new equation:
% 46.15/15.53  																																																	| (813) e4 = e1
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																	| Simplifying 813 yields:
% 46.15/15.53  																																																	| (814) e4 = e1
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																	| Equations (814) can reduce 256 to:
% 46.15/15.53  																																																	| (311) $false
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																	|-The branch is then unsatisfiable
% 46.15/15.53  																																																|-Branch two:
% 46.15/15.53  																																																| (628)  ~ (all_0_81_81 = e1)
% 46.15/15.53  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 46.15/15.53  																																																|
% 46.15/15.53  																																																	| Equations (638) can reduce 628 to:
% 46.15/15.53  																																																	| (256)  ~ (e4 = e1)
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																	+-Applying beta-rule and splitting (102), into two cases.
% 46.15/15.53  																																																	|-Branch one:
% 46.15/15.53  																																																	| (858) all_0_95_95 = e0
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																		| Equations (858) can reduce 107 to:
% 46.15/15.53  																																																		| (2058)  ~ (all_0_98_98 = e0)
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																		| Simplifying 2058 yields:
% 46.15/15.53  																																																		| (2059)  ~ (all_0_98_98 = e0)
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																		| From (858) and (280) follows:
% 46.15/15.53  																																																		| (31433) op(e0, e0) = all_0_51_51
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																		+-Applying beta-rule and splitting (48), into two cases.
% 46.15/15.53  																																																		|-Branch one:
% 46.15/15.53  																																																		| (525) all_0_98_98 = e2
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																			| Equations (525) can reduce 1349 to:
% 46.15/15.53  																																																			| (311) $false
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																			|-The branch is then unsatisfiable
% 46.15/15.53  																																																		|-Branch two:
% 46.15/15.53  																																																		| (1349)  ~ (all_0_98_98 = e2)
% 46.15/15.53  																																																		| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																			+-Applying beta-rule and splitting (5118), into two cases.
% 46.15/15.53  																																																			|-Branch one:
% 46.15/15.53  																																																			| (1543) all_0_98_98 = e1
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																				| Equations (1543) can reduce 2059 to:
% 46.15/15.53  																																																				| (264)  ~ (e1 = e0)
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| From (1543) and (38) follows:
% 46.15/15.53  																																																				| (3060) op(e0, e0) = e1
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Instantiating formula (262) with e1, e1, e0, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e0, yields:
% 46.15/15.53  																																																				| (379) e2 = e0
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Instantiating formula (262) with e0, e0, e2, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = e2, yields:
% 46.15/15.53  																																																				| (27448) all_0_51_51 = e2
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Instantiating formula (262) with e0, e0, e1, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = e1, yields:
% 46.15/15.53  																																																				| (1552) all_0_51_51 = e1
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Combining equations (1552,27448) yields a new equation:
% 46.15/15.53  																																																				| (385) e2 = e1
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Combining equations (385,379) yields a new equation:
% 46.15/15.53  																																																				| (1107) e1 = e0
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Simplifying 1107 yields:
% 46.15/15.53  																																																				| (865) e1 = e0
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Equations (865) can reduce 264 to:
% 46.15/15.53  																																																				| (311) $false
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				|-The branch is then unsatisfiable
% 46.15/15.53  																																																			|-Branch two:
% 46.15/15.53  																																																			| (1804)  ~ (all_0_98_98 = e1)
% 46.15/15.53  																																																			| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																				+-Applying beta-rule and splitting (2126), into two cases.
% 46.15/15.53  																																																				|-Branch one:
% 46.15/15.53  																																																				| (542) all_0_97_97 = e1
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																					| Combining equations (542,610) yields a new equation:
% 46.15/15.53  																																																					| (814) e4 = e1
% 46.15/15.53  																																																					|
% 46.15/15.53  																																																					| Equations (814) can reduce 256 to:
% 46.15/15.53  																																																					| (311) $false
% 46.15/15.53  																																																					|
% 46.15/15.53  																																																					|-The branch is then unsatisfiable
% 46.15/15.53  																																																				|-Branch two:
% 46.15/15.53  																																																				| (486)  ~ (all_0_97_97 = e1)
% 46.15/15.53  																																																				| (1543) all_0_98_98 = e1
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																					| Equations (1543) can reduce 1804 to:
% 46.15/15.53  																																																					| (311) $false
% 46.15/15.53  																																																					|
% 46.15/15.53  																																																					|-The branch is then unsatisfiable
% 46.15/15.53  																																																	|-Branch two:
% 46.15/15.53  																																																	| (893)  ~ (all_0_95_95 = e0)
% 46.15/15.53  																																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.15/15.53  																																																	|
% 46.15/15.53  																																																		+-Applying beta-rule and splitting (1921), into two cases.
% 46.15/15.53  																																																		|-Branch one:
% 46.15/15.53  																																																		| (1837) all_0_96_96 = e0
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																			| Combining equations (1837,778) yields a new equation:
% 46.15/15.53  																																																			| (600) e3 = e0
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																			| Equations (600) can reduce 50 to:
% 46.15/15.53  																																																			| (311) $false
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																			|-The branch is then unsatisfiable
% 46.15/15.53  																																																		|-Branch two:
% 46.15/15.53  																																																		| (2095)  ~ (all_0_96_96 = e0)
% 46.15/15.53  																																																		| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.15/15.53  																																																		|
% 46.15/15.53  																																																			+-Applying beta-rule and splitting (2096), into two cases.
% 46.15/15.53  																																																			|-Branch one:
% 46.15/15.53  																																																			| (560) all_0_97_97 = e0
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																				| Combining equations (610,560) yields a new equation:
% 46.15/15.53  																																																				| (911) e4 = e0
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Simplifying 911 yields:
% 46.15/15.53  																																																				| (912) e4 = e0
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				| Equations (912) can reduce 23 to:
% 46.15/15.53  																																																				| (311) $false
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				|-The branch is then unsatisfiable
% 46.15/15.53  																																																			|-Branch two:
% 46.15/15.53  																																																			| (609)  ~ (all_0_97_97 = e0)
% 46.15/15.53  																																																			| (1121) all_0_98_98 = e0
% 46.15/15.53  																																																			|
% 46.15/15.53  																																																				| Equations (1121) can reduce 2059 to:
% 46.15/15.53  																																																				| (311) $false
% 46.15/15.53  																																																				|
% 46.15/15.53  																																																				|-The branch is then unsatisfiable
% 46.15/15.53  																																														|-Branch two:
% 46.15/15.53  																																														| (625)  ~ (all_0_87_87 = e1)
% 46.15/15.53  																																														| (861) all_0_87_87 = e0
% 46.15/15.53  																																														|
% 46.15/15.53  																																															| Equations (861) can reduce 889 to:
% 46.15/15.53  																																															| (311) $false
% 46.15/15.53  																																															|
% 46.15/15.53  																																															|-The branch is then unsatisfiable
% 46.15/15.53  																																											|-Branch two:
% 46.15/15.53  																																											| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.15/15.53  																																											|
% 46.15/15.53  																																												| Applying alpha-rule on (1391) yields:
% 46.15/15.53  																																												| (1392) all_0_75_75 = e1
% 46.15/15.53  																																												| (1393)  ~ (all_0_76_76 = e0)
% 46.15/15.53  																																												|
% 46.15/15.53  																																												| Combining equations (1392,9862) yields a new equation:
% 46.15/15.53  																																												| (772) e3 = e1
% 46.15/15.53  																																												|
% 46.15/15.53  																																												| Equations (772) can reduce 20 to:
% 46.15/15.53  																																												| (311) $false
% 46.15/15.53  																																												|
% 46.15/15.53  																																												|-The branch is then unsatisfiable
% 46.15/15.53  																																										|-Branch two:
% 46.15/15.53  																																										| (946)  ~ (all_0_92_92 = e0)
% 46.15/15.53  																																										| (442) all_0_92_92 = e4
% 46.15/15.53  																																										|
% 46.15/15.53  																																											| Equations (442) can reduce 1619 to:
% 46.15/15.53  																																											| (311) $false
% 46.15/15.53  																																											|
% 46.15/15.53  																																											|-The branch is then unsatisfiable
% 46.15/15.53  																																				|-Branch two:
% 46.15/15.53  																																				| (959)  ~ (all_0_91_91 = e1)
% 46.15/15.53  																																				| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.15/15.53  																																				|
% 46.15/15.53  																																					+-Applying beta-rule and splitting (132), into two cases.
% 46.15/15.53  																																					|-Branch one:
% 46.15/15.53  																																					| (750) all_0_90_90 = e1
% 46.15/15.53  																																					|
% 46.15/15.53  																																						| Combining equations (750,754) yields a new equation:
% 46.15/15.53  																																						| (772) e3 = e1
% 46.15/15.53  																																						|
% 46.15/15.53  																																						| Equations (772) can reduce 20 to:
% 46.15/15.53  																																						| (311) $false
% 46.15/15.53  																																						|
% 46.15/15.53  																																						|-The branch is then unsatisfiable
% 46.15/15.53  																																					|-Branch two:
% 46.15/15.53  																																					| (678)  ~ (all_0_90_90 = e1)
% 46.15/15.53  																																					| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.15/15.53  																																					|
% 46.15/15.53  																																						| Equations (754) can reduce 678 to:
% 46.15/15.53  																																						| (20)  ~ (e3 = e1)
% 46.15/15.53  																																						|
% 46.15/15.53  																																						+-Applying beta-rule and splitting (462), into two cases.
% 46.15/15.53  																																						|-Branch one:
% 46.15/15.53  																																						| (801) all_0_91_91 = e1
% 46.15/15.53  																																						|
% 46.15/15.53  																																							| Equations (801) can reduce 959 to:
% 46.15/15.53  																																							| (311) $false
% 46.15/15.53  																																							|
% 46.15/15.53  																																							|-The branch is then unsatisfiable
% 46.15/15.53  																																						|-Branch two:
% 46.15/15.53  																																						| (959)  ~ (all_0_91_91 = e1)
% 46.15/15.53  																																						| (960) all_0_96_96 = e1
% 46.15/15.53  																																						|
% 46.15/15.53  																																							| Combining equations (778,960) yields a new equation:
% 46.15/15.53  																																							| (825) e3 = e1
% 46.15/15.53  																																							|
% 46.15/15.53  																																							| Simplifying 825 yields:
% 46.15/15.53  																																							| (772) e3 = e1
% 46.15/15.53  																																							|
% 46.15/15.53  																																							| Equations (772) can reduce 20 to:
% 46.15/15.53  																																							| (311) $false
% 46.15/15.53  																																							|
% 46.15/15.53  																																							|-The branch is then unsatisfiable
% 46.15/15.53  																																			|-Branch two:
% 46.15/15.53  																																			| (745)  ~ (all_0_90_90 = e3)
% 46.15/15.54  																																			| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.15/15.54  																																			|
% 46.15/15.54  																																				+-Applying beta-rule and splitting (176), into two cases.
% 46.15/15.54  																																				|-Branch one:
% 46.15/15.54  																																				| (785) all_0_95_95 = e1
% 46.15/15.54  																																				|
% 46.15/15.54  																																					| Equations (785) can reduce 680 to:
% 46.15/15.54  																																					| (311) $false
% 46.15/15.54  																																					|
% 46.15/15.54  																																					|-The branch is then unsatisfiable
% 46.15/15.54  																																				|-Branch two:
% 46.15/15.54  																																				| (680)  ~ (all_0_95_95 = e1)
% 46.15/15.54  																																				| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.15/15.54  																																				|
% 46.15/15.54  																																					+-Applying beta-rule and splitting (220), into two cases.
% 46.15/15.54  																																					|-Branch one:
% 46.15/15.54  																																					| (771) all_0_78_78 = e3
% 46.15/15.54  																																					|
% 46.15/15.54  																																						| Combining equations (676,771) yields a new equation:
% 46.15/15.54  																																						| (772) e3 = e1
% 46.15/15.54  																																						|
% 46.15/15.54  																																						| Equations (772) can reduce 20 to:
% 46.15/15.54  																																						| (311) $false
% 46.15/15.54  																																						|
% 46.15/15.54  																																						|-The branch is then unsatisfiable
% 46.15/15.54  																																					|-Branch two:
% 46.15/15.54  																																					| (418)  ~ (all_0_78_78 = e3)
% 46.15/15.54  																																					| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.15/15.54  																																					|
% 46.15/15.54  																																						| Equations (676) can reduce 418 to:
% 46.15/15.54  																																						| (683)  ~ (e3 = e1)
% 46.15/15.54  																																						|
% 46.15/15.54  																																						| Simplifying 683 yields:
% 46.15/15.54  																																						| (20)  ~ (e3 = e1)
% 46.15/15.54  																																						|
% 46.15/15.54  																																						+-Applying beta-rule and splitting (770), into two cases.
% 46.15/15.54  																																						|-Branch one:
% 46.15/15.54  																																						| (785) all_0_95_95 = e1
% 46.15/15.54  																																						|
% 46.15/15.54  																																							| Equations (785) can reduce 680 to:
% 46.15/15.54  																																							| (311) $false
% 46.15/15.54  																																							|
% 46.15/15.54  																																							|-The branch is then unsatisfiable
% 46.15/15.54  																																						|-Branch two:
% 46.15/15.54  																																						| (680)  ~ (all_0_95_95 = e1)
% 46.15/15.54  																																						| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.15/15.54  																																						|
% 46.15/15.54  																																							+-Applying beta-rule and splitting (462), into two cases.
% 46.15/15.54  																																							|-Branch one:
% 46.15/15.54  																																							| (801) all_0_91_91 = e1
% 46.15/15.54  																																							|
% 46.15/15.54  																																								| Equations (801) can reduce 265 to:
% 46.15/15.54  																																								| (2131)  ~ (all_0_92_92 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								| Simplifying 2131 yields:
% 46.15/15.54  																																								| (840)  ~ (all_0_92_92 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								| Equations (801) can reduce 133 to:
% 46.15/15.54  																																								| (681)  ~ (e4 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								| Simplifying 681 yields:
% 46.15/15.54  																																								| (256)  ~ (e4 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								| Equations (801) can reduce 571 to:
% 46.15/15.54  																																								| (683)  ~ (e3 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								| Simplifying 683 yields:
% 46.15/15.54  																																								| (20)  ~ (e3 = e1)
% 46.15/15.54  																																								|
% 46.15/15.54  																																								+-Applying beta-rule and splitting (151), into two cases.
% 46.15/15.54  																																								|-Branch one:
% 46.15/15.54  																																								| (824) all_0_80_80 = e1
% 46.15/15.54  																																								|
% 46.15/15.54  																																									| Combining equations (416,824) yields a new equation:
% 46.15/15.54  																																									| (825) e3 = e1
% 46.15/15.54  																																									|
% 46.15/15.54  																																									| Simplifying 825 yields:
% 46.15/15.54  																																									| (772) e3 = e1
% 46.15/15.54  																																									|
% 46.15/15.54  																																									| Equations (772) can reduce 20 to:
% 46.15/15.54  																																									| (311) $false
% 46.15/15.54  																																									|
% 46.15/15.54  																																									|-The branch is then unsatisfiable
% 46.15/15.54  																																								|-Branch two:
% 46.15/15.54  																																								| (828)  ~ (all_0_80_80 = e1)
% 46.15/15.54  																																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.15/15.54  																																								|
% 46.15/15.54  																																									+-Applying beta-rule and splitting (853), into two cases.
% 46.15/15.54  																																									|-Branch one:
% 46.15/15.54  																																									| (744) all_0_95_95 = e3
% 46.15/15.54  																																									|
% 46.15/15.54  																																										| Equations (744) can reduce 765 to:
% 46.15/15.54  																																										| (311) $false
% 46.15/15.54  																																										|
% 46.15/15.54  																																										|-The branch is then unsatisfiable
% 46.15/15.54  																																									|-Branch two:
% 46.15/15.54  																																									| (765)  ~ (all_0_95_95 = e3)
% 46.15/15.54  																																									| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.15/15.54  																																									|
% 46.15/15.54  																																										+-Applying beta-rule and splitting (857), into two cases.
% 46.15/15.54  																																										|-Branch one:
% 46.15/15.54  																																										| (858) all_0_95_95 = e0
% 46.15/15.54  																																										|
% 46.15/15.54  																																											+-Applying beta-rule and splitting (829), into two cases.
% 46.15/15.54  																																											|-Branch one:
% 46.15/15.54  																																											| (482) all_0_87_87 = e1
% 46.15/15.54  																																											|
% 46.15/15.54  																																												| Equations (482) can reduce 94 to:
% 46.15/15.54  																																												| (2131)  ~ (all_0_92_92 = e1)
% 46.15/15.54  																																												|
% 46.15/15.54  																																												| Simplifying 2131 yields:
% 46.15/15.54  																																												| (840)  ~ (all_0_92_92 = e1)
% 46.15/15.54  																																												|
% 46.15/15.54  																																												+-Applying beta-rule and splitting (119), into two cases.
% 46.15/15.54  																																												|-Branch one:
% 46.15/15.54  																																												| (1343) all_0_92_92 = e2
% 46.15/15.54  																																												|
% 46.15/15.54  																																													| Equations (1343) can reduce 298 to:
% 46.15/15.54  																																													| (311) $false
% 46.15/15.54  																																													|
% 46.15/15.54  																																													|-The branch is then unsatisfiable
% 46.15/15.54  																																												|-Branch two:
% 46.15/15.54  																																												| (298)  ~ (all_0_92_92 = e2)
% 46.15/15.54  																																												| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.15/15.54  																																												|
% 46.15/15.54  																																													+-Applying beta-rule and splitting (775), into two cases.
% 46.15/15.54  																																													|-Branch one:
% 46.15/15.54  																																													| (789) all_0_82_82 = e3
% 46.15/15.54  																																													|
% 46.15/15.54  																																														| Combining equations (469,789) yields a new equation:
% 46.15/15.54  																																														| (790) e4 = e3
% 46.15/15.54  																																														|
% 46.15/15.54  																																														| Simplifying 790 yields:
% 46.15/15.54  																																														| (434) e4 = e3
% 46.15/15.54  																																														|
% 46.15/15.54  																																														| Equations (434) can reduce 177 to:
% 46.15/15.54  																																														| (311) $false
% 46.15/15.54  																																														|
% 46.15/15.54  																																														|-The branch is then unsatisfiable
% 46.15/15.54  																																													|-Branch two:
% 46.15/15.54  																																													| (793)  ~ (all_0_82_82 = e3)
% 46.15/15.54  																																													| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.15/15.54  																																													|
% 46.15/15.54  																																														+-Applying beta-rule and splitting (3735), into two cases.
% 46.15/15.54  																																														|-Branch one:
% 46.15/15.54  																																														| (836) all_0_92_92 = e1
% 46.15/15.54  																																														|
% 46.15/15.54  																																															| Equations (836) can reduce 840 to:
% 46.15/15.54  																																															| (311) $false
% 46.15/15.54  																																															|
% 46.15/15.54  																																															|-The branch is then unsatisfiable
% 46.15/15.54  																																														|-Branch two:
% 46.15/15.54  																																														| (840)  ~ (all_0_92_92 = e1)
% 46.15/15.54  																																														| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.15/15.54  																																														|
% 46.15/15.54  																																															+-Applying beta-rule and splitting (3800), into two cases.
% 46.15/15.54  																																															|-Branch one:
% 46.15/15.54  																																															| (882) all_0_92_92 = e3
% 46.15/15.54  																																															|
% 46.15/15.54  																																																| Equations (882) can reduce 426 to:
% 46.15/15.54  																																																| (311) $false
% 46.15/15.54  																																																|
% 46.15/15.54  																																																|-The branch is then unsatisfiable
% 46.15/15.54  																																															|-Branch two:
% 46.15/15.54  																																															| (426)  ~ (all_0_92_92 = e3)
% 46.15/15.54  																																															| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 46.15/15.54  																																															|
% 46.15/15.54  																																																+-Applying beta-rule and splitting (16683), into two cases.
% 46.15/15.54  																																																|-Branch one:
% 46.15/15.54  																																																| (942) all_0_92_92 = e0
% 46.15/15.54  																																																|
% 46.15/15.54  																																																	| Equations (942) can reduce 426 to:
% 46.15/15.54  																																																	| (906)  ~ (e3 = e0)
% 46.15/15.54  																																																	|
% 46.15/15.54  																																																	| Simplifying 906 yields:
% 46.15/15.54  																																																	| (50)  ~ (e3 = e0)
% 46.15/15.54  																																																	|
% 46.15/15.54  																																																	+-Applying beta-rule and splitting (794), into two cases.
% 46.15/15.54  																																																	|-Branch one:
% 46.15/15.54  																																																	| (754) all_0_90_90 = e3
% 46.15/15.54  																																																	|
% 46.18/15.54  																																																		| Equations (754) can reduce 745 to:
% 46.18/15.54  																																																		| (311) $false
% 46.18/15.54  																																																		|
% 46.18/15.54  																																																		|-The branch is then unsatisfiable
% 46.18/15.54  																																																	|-Branch two:
% 46.18/15.54  																																																	| (745)  ~ (all_0_90_90 = e3)
% 46.18/15.54  																																																	| (744) all_0_95_95 = e3
% 46.18/15.54  																																																	|
% 46.18/15.54  																																																		| Combining equations (858,744) yields a new equation:
% 46.18/15.54  																																																		| (600) e3 = e0
% 46.18/15.54  																																																		|
% 46.18/15.54  																																																		| Equations (600) can reduce 50 to:
% 46.18/15.54  																																																		| (311) $false
% 46.18/15.54  																																																		|
% 46.18/15.54  																																																		|-The branch is then unsatisfiable
% 46.18/15.54  																																																|-Branch two:
% 46.18/15.54  																																																| (946)  ~ (all_0_92_92 = e0)
% 46.18/15.54  																																																| (442) all_0_92_92 = e4
% 46.18/15.54  																																																|
% 46.18/15.54  																																																	| Equations (442) can reduce 1619 to:
% 46.18/15.54  																																																	| (311) $false
% 46.18/15.54  																																																	|
% 46.18/15.54  																																																	|-The branch is then unsatisfiable
% 46.18/15.54  																																											|-Branch two:
% 46.18/15.54  																																											| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.54  																																											| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.18/15.54  																																											|
% 46.18/15.54  																																												+-Applying beta-rule and splitting (835), into two cases.
% 46.18/15.54  																																												|-Branch one:
% 46.18/15.54  																																												| (836) all_0_92_92 = e1
% 46.18/15.54  																																												|
% 46.18/15.54  																																													| Equations (836) can reduce 840 to:
% 46.18/15.54  																																													| (311) $false
% 46.18/15.54  																																													|
% 46.18/15.54  																																													|-The branch is then unsatisfiable
% 46.18/15.54  																																												|-Branch two:
% 46.18/15.54  																																												| (840)  ~ (all_0_92_92 = e1)
% 46.18/15.54  																																												| (542) all_0_97_97 = e1
% 46.18/15.54  																																												|
% 46.18/15.54  																																													| Combining equations (610,542) yields a new equation:
% 46.18/15.54  																																													| (813) e4 = e1
% 46.18/15.54  																																													|
% 46.18/15.54  																																													| Simplifying 813 yields:
% 46.18/15.54  																																													| (814) e4 = e1
% 46.18/15.54  																																													|
% 46.18/15.54  																																													| Equations (814) can reduce 256 to:
% 46.18/15.54  																																													| (311) $false
% 46.18/15.54  																																													|
% 46.18/15.54  																																													|-The branch is then unsatisfiable
% 46.18/15.54  																																										|-Branch two:
% 46.18/15.54  																																										| (893)  ~ (all_0_95_95 = e0)
% 46.18/15.54  																																										| (894) all_0_95_95 = e4
% 46.18/15.54  																																										|
% 46.18/15.54  																																											| Equations (894) can reduce 315 to:
% 46.18/15.54  																																											| (311) $false
% 46.18/15.54  																																											|
% 46.18/15.54  																																											|-The branch is then unsatisfiable
% 46.18/15.54  																																							|-Branch two:
% 46.18/15.54  																																							| (959)  ~ (all_0_91_91 = e1)
% 46.18/15.54  																																							| (960) all_0_96_96 = e1
% 46.18/15.54  																																							|
% 46.18/15.54  																																								| Combining equations (960,778) yields a new equation:
% 46.18/15.54  																																								| (772) e3 = e1
% 46.18/15.54  																																								|
% 46.18/15.54  																																								| Equations (772) can reduce 20 to:
% 46.18/15.54  																																								| (311) $false
% 46.18/15.54  																																								|
% 46.18/15.54  																																								|-The branch is then unsatisfiable
% 46.18/15.54  																																	|-Branch two:
% 46.18/15.54  																																	| (964)  ~ (all_0_96_96 = e3)
% 46.18/15.54  																																	| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 46.18/15.54  																																	|
% 46.18/15.54  																																		+-Applying beta-rule and splitting (965), into two cases.
% 46.18/15.54  																																		|-Branch one:
% 46.18/15.54  																																		| (556) all_0_97_97 = e3
% 46.18/15.54  																																		|
% 46.18/15.54  																																			| Combining equations (610,556) yields a new equation:
% 46.18/15.54  																																			| (790) e4 = e3
% 46.18/15.54  																																			|
% 46.18/15.54  																																			| Simplifying 790 yields:
% 46.18/15.54  																																			| (434) e4 = e3
% 46.18/15.54  																																			|
% 46.18/15.54  																																			| Equations (434) can reduce 177 to:
% 46.18/15.54  																																			| (311) $false
% 46.18/15.54  																																			|
% 46.18/15.54  																																			|-The branch is then unsatisfiable
% 46.18/15.54  																																		|-Branch two:
% 46.18/15.54  																																		| (428)  ~ (all_0_97_97 = e3)
% 46.18/15.54  																																		| (969) all_0_98_98 = e3
% 46.18/15.54  																																		|
% 46.18/15.54  																																			| Equations (969) can reduce 1519 to:
% 46.18/15.54  																																			| (311) $false
% 46.18/15.54  																																			|
% 46.18/15.54  																																			|-The branch is then unsatisfiable
% 46.18/15.54  																														|-Branch two:
% 46.18/15.54  																														| (952)  ~ (all_0_85_85 = e3)
% 46.18/15.54  																														| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.18/15.54  																														|
% 46.18/15.54  																															+-Applying beta-rule and splitting (953), into two cases.
% 46.18/15.54  																															|-Branch one:
% 46.18/15.54  																															| (954) all_0_85_85 = e0
% 46.18/15.54  																															|
% 46.18/15.54  																																| Equations (954) can reduce 800 to:
% 46.18/15.54  																																| (311) $false
% 46.18/15.54  																																|
% 46.18/15.54  																																|-The branch is then unsatisfiable
% 46.18/15.54  																															|-Branch two:
% 46.18/15.54  																															| (800)  ~ (all_0_85_85 = e0)
% 46.18/15.54  																															| (493) all_0_85_85 = e4
% 46.18/15.54  																															|
% 46.18/15.54  																																| Equations (493) can reduce 648 to:
% 46.18/15.54  																																| (311) $false
% 46.18/15.54  																																|
% 46.18/15.54  																																|-The branch is then unsatisfiable
% 46.18/15.54  																												|-Branch two:
% 46.18/15.54  																												| (1314)  ~ (all_0_83_83 = e0)
% 46.18/15.54  																												| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.18/15.54  																												|
% 46.18/15.54  																													+-Applying beta-rule and splitting (249), into two cases.
% 46.18/15.54  																													|-Branch one:
% 46.18/15.54  																													| (910) all_0_82_82 = e0
% 46.18/15.54  																													|
% 46.18/15.54  																														| Combining equations (469,910) yields a new equation:
% 46.18/15.54  																														| (911) e4 = e0
% 46.18/15.54  																														|
% 46.18/15.54  																														| Simplifying 911 yields:
% 46.18/15.54  																														| (912) e4 = e0
% 46.18/15.54  																														|
% 46.18/15.54  																														| Equations (912) can reduce 23 to:
% 46.18/15.54  																														| (311) $false
% 46.18/15.54  																														|
% 46.18/15.54  																														|-The branch is then unsatisfiable
% 46.18/15.54  																													|-Branch two:
% 46.18/15.54  																													| (914)  ~ (all_0_82_82 = e0)
% 46.18/15.54  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.18/15.54  																													|
% 46.18/15.54  																														| Equations (469) can reduce 914 to:
% 46.18/15.54  																														| (23)  ~ (e4 = e0)
% 46.18/15.54  																														|
% 46.18/15.54  																														+-Applying beta-rule and splitting (456), into two cases.
% 46.18/15.54  																														|-Branch one:
% 46.18/15.54  																														| (795) all_0_83_83 = e3
% 46.18/15.54  																														|
% 46.18/15.54  																															| Equations (795) can reduce 226 to:
% 46.18/15.54  																															| (2358)  ~ (all_0_85_85 = e3)
% 46.18/15.54  																															|
% 46.18/15.54  																															| Simplifying 2358 yields:
% 46.18/15.54  																															| (952)  ~ (all_0_85_85 = e3)
% 46.18/15.54  																															|
% 46.18/15.54  																															| Equations (795) can reduce 155 to:
% 46.18/15.54  																															| (783)  ~ (e4 = e3)
% 46.18/15.54  																															|
% 46.18/15.54  																															| Simplifying 783 yields:
% 46.18/15.54  																															| (177)  ~ (e4 = e3)
% 46.18/15.54  																															|
% 46.18/15.54  																															| Equations (795) can reduce 398 to:
% 46.18/15.54  																															| (169)  ~ (e3 = e2)
% 46.18/15.54  																															|
% 46.18/15.54  																															| Equations (795) can reduce 1314 to:
% 46.18/15.54  																															| (50)  ~ (e3 = e0)
% 46.18/15.54  																															|
% 46.18/15.54  																															+-Applying beta-rule and splitting (250), into two cases.
% 46.18/15.54  																															|-Branch one:
% 46.18/15.54  																															| (635) all_0_81_81 = e3
% 46.18/15.54  																															|
% 46.18/15.54  																																| Combining equations (638,635) yields a new equation:
% 46.18/15.54  																																| (790) e4 = e3
% 46.18/15.54  																																|
% 46.18/15.54  																																| Simplifying 790 yields:
% 46.18/15.54  																																| (434) e4 = e3
% 46.18/15.54  																																|
% 46.18/15.54  																																| Equations (434) can reduce 177 to:
% 46.18/15.54  																																| (311) $false
% 46.18/15.54  																																|
% 46.18/15.54  																																|-The branch is then unsatisfiable
% 46.18/15.54  																															|-Branch two:
% 46.18/15.54  																															| (420)  ~ (all_0_81_81 = e3)
% 46.18/15.54  																															| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.18/15.54  																															|
% 46.18/15.54  																																+-Applying beta-rule and splitting (182), into two cases.
% 46.18/15.54  																																|-Branch one:
% 46.18/15.54  																																| (512) all_0_85_85 = e2
% 46.18/15.54  																																|
% 46.18/15.54  																																	| Equations (512) can reduce 515 to:
% 46.18/15.54  																																	| (311) $false
% 46.18/15.54  																																	|
% 46.18/15.54  																																	|-The branch is then unsatisfiable
% 46.18/15.54  																																|-Branch two:
% 46.18/15.54  																																| (515)  ~ (all_0_85_85 = e2)
% 46.18/15.54  																																| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.18/15.54  																																|
% 46.18/15.54  																																	+-Applying beta-rule and splitting (4488), into two cases.
% 46.18/15.54  																																	|-Branch one:
% 46.18/15.54  																																	| (804) all_0_85_85 = e3
% 46.18/15.54  																																	|
% 46.18/15.54  																																		| Equations (804) can reduce 952 to:
% 46.18/15.54  																																		| (311) $false
% 46.18/15.54  																																		|
% 46.18/15.54  																																		|-The branch is then unsatisfiable
% 46.18/15.54  																																	|-Branch two:
% 46.18/15.54  																																	| (952)  ~ (all_0_85_85 = e3)
% 46.18/15.54  																																	| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.18/15.54  																																	|
% 46.18/15.54  																																		+-Applying beta-rule and splitting (282), into two cases.
% 46.18/15.54  																																		|-Branch one:
% 46.18/15.54  																																		| (754) all_0_90_90 = e3
% 46.18/15.54  																																		|
% 46.18/15.54  																																			| Equations (754) can reduce 294 to:
% 46.18/15.54  																																			| (169)  ~ (e3 = e2)
% 46.18/15.54  																																			|
% 46.18/15.54  																																			+-Applying beta-rule and splitting (254), into two cases.
% 46.18/15.54  																																			|-Branch one:
% 46.18/15.54  																																			| (910) all_0_82_82 = e0
% 46.18/15.54  																																			|
% 46.18/15.54  																																				| Combining equations (469,910) yields a new equation:
% 46.18/15.54  																																				| (911) e4 = e0
% 46.18/15.54  																																				|
% 46.18/15.54  																																				| Simplifying 911 yields:
% 46.18/15.54  																																				| (912) e4 = e0
% 46.18/15.54  																																				|
% 46.18/15.54  																																				| Equations (912) can reduce 23 to:
% 46.18/15.54  																																				| (311) $false
% 46.18/15.54  																																				|
% 46.18/15.54  																																				|-The branch is then unsatisfiable
% 46.18/15.54  																																			|-Branch two:
% 46.18/15.54  																																			| (914)  ~ (all_0_82_82 = e0)
% 46.18/15.54  																																			| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 46.18/15.54  																																			|
% 46.18/15.54  																																				+-Applying beta-rule and splitting (1309), into two cases.
% 46.18/15.54  																																				|-Branch one:
% 46.18/15.54  																																				| (798) all_0_83_83 = e0
% 46.18/15.54  																																				|
% 46.18/15.54  																																					| Combining equations (798,795) yields a new equation:
% 46.18/15.54  																																					| (600) e3 = e0
% 46.18/15.54  																																					|
% 46.18/15.54  																																					| Equations (600) can reduce 50 to:
% 46.18/15.54  																																					| (311) $false
% 46.18/15.54  																																					|
% 46.18/15.54  																																					|-The branch is then unsatisfiable
% 46.18/15.54  																																				|-Branch two:
% 46.18/15.54  																																				| (1314)  ~ (all_0_83_83 = e0)
% 46.18/15.54  																																				| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.18/15.54  																																				|
% 46.18/15.54  																																					| Equations (795) can reduce 1314 to:
% 46.18/15.54  																																					| (50)  ~ (e3 = e0)
% 46.18/15.54  																																					|
% 46.18/15.55  																																					+-Applying beta-rule and splitting (4559), into two cases.
% 46.18/15.55  																																					|-Branch one:
% 46.18/15.55  																																					| (570) all_0_93_93 = e3
% 46.18/15.55  																																					|
% 46.18/15.55  																																						| Combining equations (570,522) yields a new equation:
% 46.18/15.55  																																						| (547) e3 = e2
% 46.18/15.55  																																						|
% 46.18/15.55  																																						| Simplifying 547 yields:
% 46.18/15.55  																																						| (548) e3 = e2
% 46.18/15.55  																																						|
% 46.18/15.55  																																						| Equations (548) can reduce 169 to:
% 46.18/15.55  																																						| (311) $false
% 46.18/15.55  																																						|
% 46.18/15.55  																																						|-The branch is then unsatisfiable
% 46.18/15.55  																																					|-Branch two:
% 46.18/15.55  																																					| (602)  ~ (all_0_93_93 = e3)
% 46.18/15.55  																																					| (969) all_0_98_98 = e3
% 46.18/15.55  																																					|
% 46.18/15.55  																																						| Equations (969) can reduce 43 to:
% 46.18/15.55  																																						| (964)  ~ (all_0_96_96 = e3)
% 46.18/15.55  																																						|
% 46.18/15.55  																																						+-Applying beta-rule and splitting (99), into two cases.
% 46.18/15.55  																																						|-Branch one:
% 46.18/15.55  																																						| (767) all_0_95_95 = e2
% 46.18/15.55  																																						|
% 46.18/15.55  																																							| Equations (767) can reduce 355 to:
% 46.18/15.55  																																							| (311) $false
% 46.18/15.55  																																							|
% 46.18/15.55  																																							|-The branch is then unsatisfiable
% 46.18/15.55  																																						|-Branch two:
% 46.18/15.55  																																						| (355)  ~ (all_0_95_95 = e2)
% 46.18/15.55  																																						| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.18/15.55  																																						|
% 46.18/15.55  																																							+-Applying beta-rule and splitting (915), into two cases.
% 46.18/15.55  																																							|-Branch one:
% 46.18/15.55  																																							| (378) all_0_86_86 = e0
% 46.18/15.55  																																							|
% 46.18/15.55  																																								| Combining equations (378,345) yields a new equation:
% 46.18/15.55  																																								| (379) e2 = e0
% 46.18/15.55  																																								|
% 46.18/15.55  																																								| Equations (379) can reduce 76 to:
% 46.18/15.55  																																								| (311) $false
% 46.18/15.55  																																								|
% 46.18/15.55  																																								|-The branch is then unsatisfiable
% 46.18/15.55  																																							|-Branch two:
% 46.18/15.55  																																							| (381)  ~ (all_0_86_86 = e0)
% 46.18/15.55  																																							| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 46.18/15.55  																																							|
% 46.18/15.55  																																								+-Applying beta-rule and splitting (927), into two cases.
% 46.18/15.55  																																								|-Branch one:
% 46.18/15.55  																																								| (758) all_0_90_90 = e0
% 46.18/15.55  																																								|
% 46.18/15.55  																																									| Combining equations (758,754) yields a new equation:
% 46.18/15.55  																																									| (600) e3 = e0
% 46.18/15.55  																																									|
% 46.18/15.55  																																									| Equations (600) can reduce 50 to:
% 46.18/15.55  																																									| (311) $false
% 46.18/15.55  																																									|
% 46.18/15.55  																																									|-The branch is then unsatisfiable
% 46.18/15.55  																																								|-Branch two:
% 46.18/15.55  																																								| (762)  ~ (all_0_90_90 = e0)
% 46.18/15.55  																																								| (858) all_0_95_95 = e0
% 46.18/15.55  																																								|
% 46.18/15.55  																																									| Equations (858) can reduce 279 to:
% 46.18/15.55  																																									| (2296)  ~ (all_0_96_96 = e0)
% 46.18/15.55  																																									|
% 46.18/15.55  																																									| Simplifying 2296 yields:
% 46.18/15.55  																																									| (2095)  ~ (all_0_96_96 = e0)
% 46.18/15.55  																																									|
% 46.18/15.55  																																									| Equations (858) can reduce 355 to:
% 46.18/15.55  																																									| (510)  ~ (e2 = e0)
% 46.18/15.55  																																									|
% 46.18/15.55  																																									| Simplifying 510 yields:
% 46.18/15.55  																																									| (76)  ~ (e2 = e0)
% 46.18/15.55  																																									|
% 46.18/15.55  																																									+-Applying beta-rule and splitting (84), into two cases.
% 46.18/15.55  																																									|-Branch one:
% 46.18/15.55  																																									| (1704) all_0_96_96 = e2
% 46.18/15.55  																																									|
% 46.18/15.55  																																										| Equations (1704) can reduce 1638 to:
% 46.18/15.55  																																										| (311) $false
% 46.18/15.55  																																										|
% 46.18/15.55  																																										|-The branch is then unsatisfiable
% 46.18/15.55  																																									|-Branch two:
% 46.18/15.55  																																									| (1638)  ~ (all_0_96_96 = e2)
% 46.18/15.55  																																									| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.18/15.55  																																									|
% 46.18/15.55  																																										+-Applying beta-rule and splitting (1707), into two cases.
% 46.18/15.55  																																										|-Branch one:
% 46.18/15.55  																																										| (960) all_0_96_96 = e1
% 46.18/15.55  																																										|
% 46.18/15.55  																																											| Equations (960) can reduce 64 to:
% 46.18/15.55  																																											| (959)  ~ (all_0_91_91 = e1)
% 46.18/15.55  																																											|
% 46.18/15.55  																																											+-Applying beta-rule and splitting (1315), into two cases.
% 46.18/15.55  																																											|-Branch one:
% 46.18/15.55  																																											| (916) all_0_84_84 = e0
% 46.18/15.55  																																											|
% 46.18/15.55  																																												| Combining equations (552,916) yields a new equation:
% 46.18/15.55  																																												| (923) e2 = e0
% 46.18/15.55  																																												|
% 46.18/15.55  																																												| Simplifying 923 yields:
% 46.18/15.55  																																												| (379) e2 = e0
% 46.18/15.55  																																												|
% 46.18/15.55  																																												| Equations (379) can reduce 76 to:
% 46.18/15.55  																																												| (311) $false
% 46.18/15.55  																																												|
% 46.18/15.55  																																												|-The branch is then unsatisfiable
% 46.18/15.55  																																											|-Branch two:
% 46.18/15.55  																																											| (919)  ~ (all_0_84_84 = e0)
% 46.18/15.55  																																											| (954) all_0_85_85 = e0
% 46.18/15.55  																																											|
% 46.18/15.55  																																												| Equations (954) can reduce 128 to:
% 46.18/15.55  																																												| (859)  ~ (e1 = e0)
% 46.18/15.55  																																												|
% 46.18/15.55  																																												| Simplifying 859 yields:
% 46.18/15.55  																																												| (264)  ~ (e1 = e0)
% 46.18/15.55  																																												|
% 46.18/15.55  																																												+-Applying beta-rule and splitting (1400), into two cases.
% 46.18/15.55  																																												|-Branch one:
% 46.18/15.55  																																												| (1456) all_0_91_91 = e0
% 46.18/15.55  																																												|
% 46.18/15.55  																																													| Equations (1456) can reduce 265 to:
% 46.18/15.55  																																													| (2299)  ~ (all_0_92_92 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Simplifying 2299 yields:
% 46.18/15.55  																																													| (946)  ~ (all_0_92_92 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Equations (1456) can reduce 133 to:
% 46.18/15.55  																																													| (904)  ~ (e4 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Simplifying 904 yields:
% 46.18/15.55  																																													| (23)  ~ (e4 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Equations (1456) can reduce 296 to:
% 46.18/15.55  																																													| (510)  ~ (e2 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Simplifying 510 yields:
% 46.18/15.55  																																													| (76)  ~ (e2 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Equations (1456) can reduce 959 to:
% 46.18/15.55  																																													| (859)  ~ (e1 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Simplifying 859 yields:
% 46.18/15.55  																																													| (264)  ~ (e1 = e0)
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| From (1456) and (222) follows:
% 46.18/15.55  																																													| (8259) op(e2, e0) = all_0_56_56
% 46.18/15.55  																																													|
% 46.18/15.55  																																													+-Applying beta-rule and splitting (2), into two cases.
% 46.18/15.55  																																													|-Branch one:
% 46.18/15.55  																																													| (916) all_0_84_84 = e0
% 46.18/15.55  																																													|
% 46.18/15.55  																																														| Combining equations (552,916) yields a new equation:
% 46.18/15.55  																																														| (923) e2 = e0
% 46.18/15.55  																																														|
% 46.18/15.55  																																														| Simplifying 923 yields:
% 46.18/15.55  																																														| (379) e2 = e0
% 46.18/15.55  																																														|
% 46.18/15.55  																																														| Equations (379) can reduce 76 to:
% 46.18/15.55  																																														| (311) $false
% 46.18/15.55  																																														|
% 46.18/15.55  																																														|-The branch is then unsatisfiable
% 46.18/15.55  																																													|-Branch two:
% 46.18/15.55  																																													| (919)  ~ (all_0_84_84 = e0)
% 46.18/15.55  																																													| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.18/15.55  																																													|
% 46.18/15.55  																																														+-Applying beta-rule and splitting (920), into two cases.
% 46.18/15.55  																																														|-Branch one:
% 46.18/15.55  																																														| (861) all_0_87_87 = e0
% 46.18/15.55  																																														|
% 46.18/15.55  																																															| From (861) and (83) follows:
% 46.18/15.55  																																															| (6142) op(e2, e0) = all_0_65_65
% 46.18/15.55  																																															|
% 46.18/15.55  																																															+-Applying beta-rule and splitting (388), into two cases.
% 46.18/15.55  																																															|-Branch one:
% 46.18/15.55  																																															| (482) all_0_87_87 = e1
% 46.18/15.55  																																															|
% 46.18/15.55  																																																| Combining equations (482,861) yields a new equation:
% 46.18/15.55  																																																| (1107) e1 = e0
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Simplifying 1107 yields:
% 46.18/15.55  																																																| (865) e1 = e0
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Equations (865) can reduce 264 to:
% 46.18/15.55  																																																| (311) $false
% 46.18/15.55  																																																|
% 46.18/15.55  																																																|-The branch is then unsatisfiable
% 46.18/15.55  																																															|-Branch two:
% 46.18/15.55  																																															| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.55  																																															| (504) all_0_88_88 = e1
% 46.18/15.55  																																															|
% 46.18/15.55  																																																| From (504) and (230) follows:
% 46.18/15.55  																																																| (2305) op(e2, e0) = e1
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Instantiating formula (262) with e2, e0, all_0_65_65, all_0_56_56 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = all_0_65_65, yields:
% 46.18/15.55  																																																| (31704) all_0_56_56 = all_0_65_65
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Instantiating formula (262) with e2, e0, e1, all_0_56_56 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e1, yields:
% 46.18/15.55  																																																| (1701) all_0_56_56 = e1
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Combining equations (31704,1701) yields a new equation:
% 46.18/15.55  																																																| (31706) all_0_65_65 = e1
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Simplifying 31706 yields:
% 46.18/15.55  																																																| (6145) all_0_65_65 = e1
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Equations (6145) can reduce 592 to:
% 46.18/15.55  																																																| (311) $false
% 46.18/15.55  																																																|
% 46.18/15.55  																																																|-The branch is then unsatisfiable
% 46.18/15.55  																																														|-Branch two:
% 46.18/15.55  																																														| (889)  ~ (all_0_87_87 = e0)
% 46.18/15.55  																																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 46.18/15.55  																																														|
% 46.18/15.55  																																															+-Applying beta-rule and splitting (931), into two cases.
% 46.18/15.55  																																															|-Branch one:
% 46.18/15.55  																																															| (942) all_0_92_92 = e0
% 46.18/15.55  																																															|
% 46.18/15.55  																																																| Equations (942) can reduce 946 to:
% 46.18/15.55  																																																| (311) $false
% 46.18/15.55  																																																|
% 46.18/15.55  																																																|-The branch is then unsatisfiable
% 46.18/15.55  																																															|-Branch two:
% 46.18/15.55  																																															| (946)  ~ (all_0_92_92 = e0)
% 46.18/15.55  																																															| (560) all_0_97_97 = e0
% 46.18/15.55  																																															|
% 46.18/15.55  																																																| Combining equations (610,560) yields a new equation:
% 46.18/15.55  																																																| (911) e4 = e0
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Simplifying 911 yields:
% 46.18/15.55  																																																| (912) e4 = e0
% 46.18/15.55  																																																|
% 46.18/15.55  																																																| Equations (912) can reduce 23 to:
% 46.18/15.55  																																																| (311) $false
% 46.18/15.55  																																																|
% 46.18/15.55  																																																|-The branch is then unsatisfiable
% 46.18/15.55  																																												|-Branch two:
% 46.18/15.55  																																												| (1487)  ~ (all_0_91_91 = e0)
% 46.18/15.55  																																												| (1837) all_0_96_96 = e0
% 46.18/15.55  																																												|
% 46.18/15.55  																																													| Combining equations (960,1837) yields a new equation:
% 46.18/15.55  																																													| (1107) e1 = e0
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Simplifying 1107 yields:
% 46.18/15.55  																																													| (865) e1 = e0
% 46.18/15.55  																																													|
% 46.18/15.55  																																													| Equations (865) can reduce 264 to:
% 46.18/15.55  																																													| (311) $false
% 46.18/15.55  																																													|
% 46.18/15.55  																																													|-The branch is then unsatisfiable
% 46.18/15.55  																																										|-Branch two:
% 46.18/15.55  																																										| (1479)  ~ (all_0_96_96 = e1)
% 46.18/15.55  																																										| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.18/15.55  																																										|
% 46.18/15.55  																																											+-Applying beta-rule and splitting (2016), into two cases.
% 46.18/15.55  																																											|-Branch one:
% 46.18/15.55  																																											| (778) all_0_96_96 = e3
% 46.18/15.55  																																											|
% 46.18/15.55  																																												| Equations (778) can reduce 964 to:
% 46.18/15.55  																																												| (311) $false
% 46.18/15.55  																																												|
% 46.18/15.55  																																												|-The branch is then unsatisfiable
% 46.18/15.55  																																											|-Branch two:
% 46.18/15.55  																																											| (964)  ~ (all_0_96_96 = e3)
% 46.18/15.55  																																											| (1837) all_0_96_96 = e0
% 46.18/15.55  																																											|
% 46.18/15.55  																																												| Equations (1837) can reduce 2095 to:
% 46.18/15.55  																																												| (311) $false
% 46.18/15.55  																																												|
% 46.18/15.55  																																												|-The branch is then unsatisfiable
% 46.18/15.56  																																		|-Branch two:
% 46.18/15.56  																																		| (745)  ~ (all_0_90_90 = e3)
% 46.18/15.56  																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.18/15.56  																																		|
% 46.18/15.56  																																			+-Applying beta-rule and splitting (725), into two cases.
% 46.18/15.56  																																			|-Branch one:
% 46.18/15.56  																																			| (804) all_0_85_85 = e3
% 46.18/15.56  																																			|
% 46.18/15.56  																																				| Equations (804) can reduce 952 to:
% 46.18/15.56  																																				| (311) $false
% 46.18/15.56  																																				|
% 46.18/15.56  																																				|-The branch is then unsatisfiable
% 46.18/15.56  																																			|-Branch two:
% 46.18/15.56  																																			| (952)  ~ (all_0_85_85 = e3)
% 46.18/15.56  																																			| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.18/15.56  																																			|
% 46.18/15.56  																																				+-Applying beta-rule and splitting (953), into two cases.
% 46.18/15.56  																																				|-Branch one:
% 46.18/15.56  																																				| (954) all_0_85_85 = e0
% 46.18/15.56  																																				|
% 46.18/15.56  																																					| Equations (954) can reduce 78 to:
% 46.18/15.56  																																					| (2507)  ~ (all_0_88_88 = e0)
% 46.18/15.56  																																					|
% 46.18/15.56  																																					| Simplifying 2507 yields:
% 46.18/15.56  																																					| (1110)  ~ (all_0_88_88 = e0)
% 46.18/15.56  																																					|
% 46.18/15.56  																																					| Equations (954) can reduce 128 to:
% 46.18/15.56  																																					| (859)  ~ (e1 = e0)
% 46.18/15.56  																																					|
% 46.18/15.56  																																					| Simplifying 859 yields:
% 46.18/15.56  																																					| (264)  ~ (e1 = e0)
% 46.18/15.56  																																					|
% 46.18/15.56  																																					+-Applying beta-rule and splitting (382), into two cases.
% 46.18/15.56  																																					|-Branch one:
% 46.18/15.56  																																					| (861) all_0_87_87 = e0
% 46.18/15.56  																																					|
% 46.18/15.56  																																						| Equations (861) can reduce 181 to:
% 46.18/15.56  																																						| (2507)  ~ (all_0_88_88 = e0)
% 46.18/15.56  																																						|
% 46.18/15.56  																																						| Simplifying 2507 yields:
% 46.18/15.56  																																						| (1110)  ~ (all_0_88_88 = e0)
% 46.18/15.56  																																						|
% 46.18/15.56  																																						| Equations (861) can reduce 94 to:
% 46.18/15.56  																																						| (2299)  ~ (all_0_92_92 = e0)
% 46.18/15.56  																																						|
% 46.18/15.56  																																						| Simplifying 2299 yields:
% 46.18/15.56  																																						| (946)  ~ (all_0_92_92 = e0)
% 46.18/15.56  																																						|
% 46.18/15.56  																																						+-Applying beta-rule and splitting (388), into two cases.
% 46.18/15.56  																																						|-Branch one:
% 46.18/15.56  																																						| (482) all_0_87_87 = e1
% 46.18/15.56  																																						|
% 46.18/15.56  																																							| Combining equations (482,861) yields a new equation:
% 46.18/15.56  																																							| (1107) e1 = e0
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Simplifying 1107 yields:
% 46.18/15.56  																																							| (865) e1 = e0
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Equations (865) can reduce 264 to:
% 46.18/15.56  																																							| (311) $false
% 46.18/15.56  																																							|
% 46.18/15.56  																																							|-The branch is then unsatisfiable
% 46.18/15.56  																																						|-Branch two:
% 46.18/15.56  																																						| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.56  																																						| (504) all_0_88_88 = e1
% 46.18/15.56  																																						|
% 46.18/15.56  																																							| Equations (504) can reduce 31 to:
% 46.18/15.56  																																							| (1803)  ~ (all_0_98_98 = e1)
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Simplifying 1803 yields:
% 46.18/15.56  																																							| (1804)  ~ (all_0_98_98 = e1)
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Equations (504) can reduce 93 to:
% 46.18/15.56  																																							| (681)  ~ (e4 = e1)
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Simplifying 681 yields:
% 46.18/15.56  																																							| (256)  ~ (e4 = e1)
% 46.18/15.56  																																							|
% 46.18/15.56  																																							| Equations (504) can reduce 1110 to:
% 46.18/15.56  																																							| (264)  ~ (e1 = e0)
% 46.18/15.56  																																							|
% 46.18/15.56  																																							+-Applying beta-rule and splitting (176), into two cases.
% 46.18/15.56  																																							|-Branch one:
% 46.18/15.56  																																							| (785) all_0_95_95 = e1
% 46.18/15.56  																																							|
% 46.18/15.56  																																								| Equations (785) can reduce 680 to:
% 46.18/15.56  																																								| (311) $false
% 46.18/15.56  																																								|
% 46.18/15.56  																																								|-The branch is then unsatisfiable
% 46.18/15.56  																																							|-Branch two:
% 46.18/15.56  																																							| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.56  																																							| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.18/15.56  																																							|
% 46.18/15.56  																																								+-Applying beta-rule and splitting (4559), into two cases.
% 46.18/15.56  																																								|-Branch one:
% 46.18/15.56  																																								| (570) all_0_93_93 = e3
% 46.18/15.56  																																								|
% 46.18/15.56  																																									| Combining equations (522,570) yields a new equation:
% 46.18/15.56  																																									| (548) e3 = e2
% 46.18/15.56  																																									|
% 46.18/15.56  																																									| Equations (548) can reduce 169 to:
% 46.18/15.56  																																									| (311) $false
% 46.18/15.56  																																									|
% 46.18/15.56  																																									|-The branch is then unsatisfiable
% 46.18/15.56  																																								|-Branch two:
% 46.18/15.56  																																								| (602)  ~ (all_0_93_93 = e3)
% 46.18/15.56  																																								| (969) all_0_98_98 = e3
% 46.18/15.56  																																								|
% 46.18/15.56  																																									| Equations (969) can reduce 1804 to:
% 46.18/15.56  																																									| (20)  ~ (e3 = e1)
% 46.18/15.56  																																									|
% 46.18/15.56  																																									+-Applying beta-rule and splitting (151), into two cases.
% 46.18/15.56  																																									|-Branch one:
% 46.18/15.56  																																									| (824) all_0_80_80 = e1
% 46.18/15.56  																																									|
% 46.18/15.56  																																										| Combining equations (416,824) yields a new equation:
% 46.18/15.56  																																										| (825) e3 = e1
% 46.18/15.56  																																										|
% 46.18/15.56  																																										| Simplifying 825 yields:
% 46.18/15.56  																																										| (772) e3 = e1
% 46.18/15.56  																																										|
% 46.18/15.56  																																										| Equations (772) can reduce 20 to:
% 46.18/15.56  																																										| (311) $false
% 46.18/15.56  																																										|
% 46.18/15.56  																																										|-The branch is then unsatisfiable
% 46.18/15.56  																																									|-Branch two:
% 46.18/15.56  																																									| (828)  ~ (all_0_80_80 = e1)
% 46.18/15.56  																																									| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.18/15.56  																																									|
% 46.18/15.56  																																										+-Applying beta-rule and splitting (829), into two cases.
% 46.18/15.56  																																										|-Branch one:
% 46.18/15.56  																																										| (482) all_0_87_87 = e1
% 46.18/15.56  																																										|
% 46.18/15.56  																																											| Combining equations (861,482) yields a new equation:
% 46.18/15.56  																																											| (865) e1 = e0
% 46.18/15.56  																																											|
% 46.18/15.56  																																											| Equations (865) can reduce 264 to:
% 46.18/15.56  																																											| (311) $false
% 46.18/15.56  																																											|
% 46.18/15.56  																																											|-The branch is then unsatisfiable
% 46.18/15.56  																																										|-Branch two:
% 46.18/15.56  																																										| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.56  																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.18/15.56  																																										|
% 46.18/15.56  																																											+-Applying beta-rule and splitting (835), into two cases.
% 46.18/15.56  																																											|-Branch one:
% 46.18/15.56  																																											| (836) all_0_92_92 = e1
% 46.18/15.56  																																											|
% 46.18/15.56  																																												| Equations (836) can reduce 72 to:
% 46.18/15.56  																																												| (678)  ~ (all_0_90_90 = e1)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Equations (836) can reduce 1619 to:
% 46.18/15.56  																																												| (681)  ~ (e4 = e1)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Simplifying 681 yields:
% 46.18/15.56  																																												| (256)  ~ (e4 = e1)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Equations (836) can reduce 426 to:
% 46.18/15.56  																																												| (683)  ~ (e3 = e1)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Simplifying 683 yields:
% 46.18/15.56  																																												| (20)  ~ (e3 = e1)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Equations (836) can reduce 946 to:
% 46.18/15.56  																																												| (264)  ~ (e1 = e0)
% 46.18/15.56  																																												|
% 46.18/15.56  																																												+-Applying beta-rule and splitting (27), into two cases.
% 46.18/15.56  																																												|-Branch one:
% 46.18/15.56  																																												| (746) all_0_90_90 = e2
% 46.18/15.56  																																												|
% 46.18/15.56  																																													| Equations (746) can reduce 294 to:
% 46.18/15.56  																																													| (311) $false
% 46.18/15.56  																																													|
% 46.18/15.56  																																													|-The branch is then unsatisfiable
% 46.18/15.56  																																												|-Branch two:
% 46.18/15.56  																																												| (294)  ~ (all_0_90_90 = e2)
% 46.18/15.56  																																												| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.18/15.56  																																												|
% 46.18/15.56  																																													+-Applying beta-rule and splitting (788), into two cases.
% 46.18/15.56  																																													|-Branch one:
% 46.18/15.56  																																													| (960) all_0_96_96 = e1
% 46.18/15.56  																																													|
% 46.18/15.56  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 46.18/15.56  																																														|-Branch one:
% 46.18/15.56  																																														| (1456) all_0_91_91 = e0
% 46.18/15.56  																																														|
% 46.18/15.56  																																															| Equations (1456) can reduce 103 to:
% 46.18/15.56  																																															| (762)  ~ (all_0_90_90 = e0)
% 46.18/15.56  																																															|
% 46.18/15.56  																																															+-Applying beta-rule and splitting (749), into two cases.
% 46.18/15.56  																																															|-Branch one:
% 46.18/15.56  																																															| (750) all_0_90_90 = e1
% 46.18/15.56  																																															|
% 46.18/15.56  																																																| Equations (750) can reduce 678 to:
% 46.18/15.56  																																																| (311) $false
% 46.18/15.56  																																																|
% 46.18/15.56  																																																|-The branch is then unsatisfiable
% 46.18/15.56  																																															|-Branch two:
% 46.18/15.56  																																															| (678)  ~ (all_0_90_90 = e1)
% 46.18/15.56  																																															| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 46.18/15.56  																																															|
% 46.18/15.56  																																																+-Applying beta-rule and splitting (753), into two cases.
% 46.18/15.56  																																																|-Branch one:
% 46.18/15.56  																																																| (754) all_0_90_90 = e3
% 46.18/15.56  																																																|
% 46.18/15.56  																																																	| Equations (754) can reduce 745 to:
% 46.18/15.56  																																																	| (311) $false
% 46.18/15.56  																																																	|
% 46.18/15.56  																																																	|-The branch is then unsatisfiable
% 46.18/15.56  																																																|-Branch two:
% 46.18/15.56  																																																| (745)  ~ (all_0_90_90 = e3)
% 46.18/15.56  																																																| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 46.18/15.56  																																																|
% 46.18/15.56  																																																	+-Applying beta-rule and splitting (757), into two cases.
% 46.18/15.56  																																																	|-Branch one:
% 46.18/15.56  																																																	| (758) all_0_90_90 = e0
% 46.18/15.56  																																																	|
% 46.18/15.56  																																																		| Equations (758) can reduce 762 to:
% 46.18/15.56  																																																		| (311) $false
% 46.18/15.56  																																																		|
% 46.18/15.56  																																																		|-The branch is then unsatisfiable
% 46.18/15.56  																																																	|-Branch two:
% 46.18/15.56  																																																	| (762)  ~ (all_0_90_90 = e0)
% 46.18/15.56  																																																	| (583) all_0_90_90 = e4
% 46.18/15.56  																																																	|
% 46.18/15.56  																																																		| Equations (583) can reduce 467 to:
% 46.18/15.56  																																																		| (311) $false
% 46.18/15.56  																																																		|
% 46.18/15.56  																																																		|-The branch is then unsatisfiable
% 46.18/15.56  																																														|-Branch two:
% 46.18/15.56  																																														| (1487)  ~ (all_0_91_91 = e0)
% 46.18/15.56  																																														| (1837) all_0_96_96 = e0
% 46.18/15.56  																																														|
% 46.18/15.56  																																															| Combining equations (1837,960) yields a new equation:
% 46.18/15.56  																																															| (865) e1 = e0
% 46.18/15.56  																																															|
% 46.18/15.56  																																															| Equations (865) can reduce 264 to:
% 46.18/15.56  																																															| (311) $false
% 46.18/15.56  																																															|
% 46.18/15.56  																																															|-The branch is then unsatisfiable
% 46.18/15.56  																																													|-Branch two:
% 46.18/15.56  																																													| (1479)  ~ (all_0_96_96 = e1)
% 46.18/15.56  																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.18/15.56  																																													|
% 46.18/15.56  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 46.18/15.56  																																														|-Branch one:
% 46.18/15.56  																																														| (542) all_0_97_97 = e1
% 46.18/15.56  																																														|
% 46.18/15.56  																																															| Combining equations (542,610) yields a new equation:
% 46.18/15.56  																																															| (814) e4 = e1
% 46.18/15.56  																																															|
% 46.18/15.56  																																															| Equations (814) can reduce 256 to:
% 46.18/15.56  																																															| (311) $false
% 46.18/15.56  																																															|
% 46.18/15.56  																																															|-The branch is then unsatisfiable
% 46.18/15.56  																																														|-Branch two:
% 46.18/15.56  																																														| (486)  ~ (all_0_97_97 = e1)
% 46.18/15.56  																																														| (1543) all_0_98_98 = e1
% 46.18/15.56  																																														|
% 46.18/15.56  																																															| Combining equations (969,1543) yields a new equation:
% 46.18/15.56  																																															| (825) e3 = e1
% 46.18/15.56  																																															|
% 46.18/15.56  																																															| Simplifying 825 yields:
% 46.18/15.56  																																															| (772) e3 = e1
% 46.18/15.56  																																															|
% 46.18/15.56  																																															| Equations (772) can reduce 20 to:
% 46.18/15.56  																																															| (311) $false
% 46.18/15.56  																																															|
% 46.18/15.56  																																															|-The branch is then unsatisfiable
% 46.18/15.56  																																											|-Branch two:
% 46.18/15.56  																																											| (840)  ~ (all_0_92_92 = e1)
% 46.18/15.56  																																											| (542) all_0_97_97 = e1
% 46.18/15.56  																																											|
% 46.18/15.56  																																												| Combining equations (610,542) yields a new equation:
% 46.18/15.56  																																												| (813) e4 = e1
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Simplifying 813 yields:
% 46.18/15.56  																																												| (814) e4 = e1
% 46.18/15.56  																																												|
% 46.18/15.56  																																												| Equations (814) can reduce 256 to:
% 46.18/15.56  																																												| (311) $false
% 46.18/15.56  																																												|
% 46.18/15.56  																																												|-The branch is then unsatisfiable
% 46.18/15.56  																																					|-Branch two:
% 46.18/15.56  																																					| (889)  ~ (all_0_87_87 = e0)
% 46.18/15.56  																																					| (507) all_0_88_88 = e0
% 46.18/15.56  																																					|
% 46.18/15.56  																																						| Equations (507) can reduce 1110 to:
% 46.18/15.56  																																						| (311) $false
% 46.18/15.56  																																						|
% 46.18/15.56  																																						|-The branch is then unsatisfiable
% 46.18/15.56  																																				|-Branch two:
% 46.18/15.56  																																				| (800)  ~ (all_0_85_85 = e0)
% 46.18/15.56  																																				| (493) all_0_85_85 = e4
% 46.18/15.56  																																				|
% 46.18/15.56  																																					| Equations (493) can reduce 648 to:
% 46.18/15.56  																																					| (311) $false
% 46.18/15.56  																																					|
% 46.18/15.56  																																					|-The branch is then unsatisfiable
% 46.18/15.56  																														|-Branch two:
% 46.18/15.56  																														| (779)  ~ (all_0_83_83 = e3)
% 46.18/15.56  																														| (798) all_0_83_83 = e0
% 46.18/15.56  																														|
% 46.18/15.56  																															| Equations (798) can reduce 1314 to:
% 46.18/15.56  																															| (311) $false
% 46.18/15.56  																															|
% 46.18/15.56  																															|-The branch is then unsatisfiable
% 46.18/15.56  																							|-Branch two:
% 46.18/15.56  																							| (612)  ~ (all_0_84_84 = e2)
% 46.18/15.56  																							| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.18/15.56  																							|
% 46.18/15.56  																								+-Applying beta-rule and splitting (617), into two cases.
% 46.18/15.56  																								|-Branch one:
% 46.18/15.56  																								| (1265) all_0_84_84 = e3
% 46.18/15.56  																								|
% 46.18/15.56  																									| Equations (1265) can reduce 422 to:
% 46.18/15.56  																									| (311) $false
% 46.18/15.56  																									|
% 46.18/15.56  																									|-The branch is then unsatisfiable
% 46.18/15.56  																								|-Branch two:
% 46.18/15.56  																								| (422)  ~ (all_0_84_84 = e3)
% 46.18/15.56  																								| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.18/15.56  																								|
% 46.18/15.56  																									+-Applying beta-rule and splitting (1268), into two cases.
% 46.18/15.56  																									|-Branch one:
% 46.18/15.56  																									| (916) all_0_84_84 = e0
% 46.18/15.56  																									|
% 46.18/15.56  																										| Equations (916) can reduce 124 to:
% 46.18/15.56  																										| (1317)  ~ (all_0_87_87 = e0)
% 46.18/15.56  																										|
% 46.18/15.56  																										| Simplifying 1317 yields:
% 46.18/15.56  																										| (889)  ~ (all_0_87_87 = e0)
% 46.18/15.56  																										|
% 46.18/15.56  																										+-Applying beta-rule and splitting (377), into two cases.
% 46.18/15.56  																										|-Branch one:
% 46.18/15.56  																										| (482) all_0_87_87 = e1
% 46.18/15.56  																										|
% 46.18/15.56  																											| From (482) and (83) follows:
% 46.18/15.57  																											| (24490) op(e2, e1) = all_0_65_65
% 46.18/15.57  																											|
% 46.18/15.57  																											| From (482) and (14) follows:
% 46.18/15.57  																											| (13258) op(e2, e1) = e1
% 46.18/15.57  																											|
% 46.18/15.57  																											| Instantiating formula (262) with e2, e1, e1, all_0_65_65 and discharging atoms op(e2, e1) = all_0_65_65, op(e2, e1) = e1, yields:
% 46.18/15.57  																											| (6145) all_0_65_65 = e1
% 46.18/15.57  																											|
% 46.18/15.57  																											| Equations (6145) can reduce 592 to:
% 46.18/15.57  																											| (311) $false
% 46.18/15.57  																											|
% 46.18/15.57  																											|-The branch is then unsatisfiable
% 46.18/15.57  																										|-Branch two:
% 46.18/15.57  																										| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.57  																										| (861) all_0_87_87 = e0
% 46.18/15.57  																										|
% 46.18/15.57  																											| Equations (861) can reduce 889 to:
% 46.18/15.57  																											| (311) $false
% 46.18/15.57  																											|
% 46.18/15.57  																											|-The branch is then unsatisfiable
% 46.18/15.57  																									|-Branch two:
% 46.18/15.57  																									| (919)  ~ (all_0_84_84 = e0)
% 46.18/15.57  																									| (438) all_0_84_84 = e4
% 46.18/15.57  																									|
% 46.18/15.57  																										| Equations (438) can reduce 417 to:
% 46.18/15.57  																										| (311) $false
% 46.18/15.57  																										|
% 46.18/15.57  																										|-The branch is then unsatisfiable
% 46.18/15.57  																					|-Branch two:
% 46.18/15.57  																					| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.18/15.57  																					|
% 46.18/15.57  																						| Applying alpha-rule on (596) yields:
% 46.18/15.57  																						| (597) all_0_67_67 = e0
% 46.18/15.57  																						| (598)  ~ (all_0_68_68 = e1)
% 46.18/15.57  																						|
% 46.18/15.57  																						| Combining equations (597,3520) yields a new equation:
% 46.18/15.57  																						| (912) e4 = e0
% 46.18/15.57  																						|
% 46.18/15.57  																						| Equations (912) can reduce 23 to:
% 46.18/15.57  																						| (311) $false
% 46.18/15.57  																						|
% 46.18/15.57  																						|-The branch is then unsatisfiable
% 46.18/15.57  															|-Branch two:
% 46.18/15.57  															| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.57  															| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 46.18/15.57  															|
% 46.18/15.57  																+-Applying beta-rule and splitting (9512), into two cases.
% 46.18/15.57  																|-Branch one:
% 46.18/15.57  																| (384) all_0_86_86 = e1
% 46.18/15.57  																|
% 46.18/15.57  																	| Equations (384) can reduce 387 to:
% 46.18/15.57  																	| (311) $false
% 46.18/15.57  																	|
% 46.18/15.57  																	|-The branch is then unsatisfiable
% 46.18/15.57  																|-Branch two:
% 46.18/15.57  																| (387)  ~ (all_0_86_86 = e1)
% 46.18/15.57  																| (378) all_0_86_86 = e0
% 46.18/15.57  																|
% 46.18/15.57  																	| Equations (378) can reduce 80 to:
% 46.18/15.57  																	| (2507)  ~ (all_0_88_88 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Simplifying 2507 yields:
% 46.18/15.57  																	| (1110)  ~ (all_0_88_88 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Equations (378) can reduce 139 to:
% 46.18/15.57  																	| (2710)  ~ (all_0_90_90 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Simplifying 2710 yields:
% 46.18/15.57  																	| (762)  ~ (all_0_90_90 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Equations (378) can reduce 91 to:
% 46.18/15.57  																	| (2712)  ~ (all_0_95_95 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Simplifying 2712 yields:
% 46.18/15.57  																	| (893)  ~ (all_0_95_95 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Equations (378) can reduce 241 to:
% 46.18/15.57  																	| (904)  ~ (e4 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Simplifying 904 yields:
% 46.18/15.57  																	| (23)  ~ (e4 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Equations (378) can reduce 9507 to:
% 46.18/15.57  																	| (510)  ~ (e2 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| Simplifying 510 yields:
% 46.18/15.57  																	| (76)  ~ (e2 = e0)
% 46.18/15.57  																	|
% 46.18/15.57  																	| From (378) and (110) follows:
% 46.18/15.57  																	| (9556) op(e3, e0) = all_0_46_46
% 46.18/15.57  																	|
% 46.18/15.57  																	+-Applying beta-rule and splitting (99), into two cases.
% 46.18/15.57  																	|-Branch one:
% 46.18/15.57  																	| (767) all_0_95_95 = e2
% 46.18/15.57  																	|
% 46.18/15.57  																		| Equations (767) can reduce 355 to:
% 46.18/15.57  																		| (311) $false
% 46.18/15.57  																		|
% 46.18/15.57  																		|-The branch is then unsatisfiable
% 46.18/15.57  																	|-Branch two:
% 46.18/15.57  																	| (355)  ~ (all_0_95_95 = e2)
% 46.18/15.57  																	| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.18/15.57  																	|
% 46.18/15.57  																		+-Applying beta-rule and splitting (770), into two cases.
% 46.18/15.57  																		|-Branch one:
% 46.18/15.57  																		| (785) all_0_95_95 = e1
% 46.18/15.57  																		|
% 46.18/15.57  																			| Equations (785) can reduce 680 to:
% 46.18/15.57  																			| (311) $false
% 46.18/15.57  																			|
% 46.18/15.57  																			|-The branch is then unsatisfiable
% 46.18/15.57  																		|-Branch two:
% 46.18/15.57  																		| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.57  																		| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.18/15.57  																		|
% 46.18/15.57  																			+-Applying beta-rule and splitting (853), into two cases.
% 46.18/15.57  																			|-Branch one:
% 46.18/15.57  																			| (744) all_0_95_95 = e3
% 46.18/15.57  																			|
% 46.18/15.57  																				| Equations (744) can reduce 229 to:
% 46.18/15.57  																				| (745)  ~ (all_0_90_90 = e3)
% 46.18/15.57  																				|
% 46.18/15.57  																				| Equations (744) can reduce 107 to:
% 46.18/15.57  																				| (1518)  ~ (all_0_98_98 = e3)
% 46.18/15.57  																				|
% 46.18/15.57  																				| Simplifying 1518 yields:
% 46.18/15.57  																				| (1519)  ~ (all_0_98_98 = e3)
% 46.18/15.57  																				|
% 46.18/15.57  																				| Equations (744) can reduce 315 to:
% 46.18/15.57  																				| (783)  ~ (e4 = e3)
% 46.18/15.57  																				|
% 46.18/15.57  																				| Simplifying 783 yields:
% 46.18/15.57  																				| (177)  ~ (e4 = e3)
% 46.18/15.57  																				|
% 46.18/15.57  																				| Equations (744) can reduce 355 to:
% 46.18/15.57  																				| (169)  ~ (e3 = e2)
% 46.18/15.57  																				|
% 46.18/15.57  																				| From (744) and (121) follows:
% 46.18/15.57  																				| (10297) op(e3, e3) = all_0_50_50
% 46.18/15.57  																				|
% 46.18/15.57  																				| From (744) and (280) follows:
% 46.18/15.57  																				| (1521) op(e0, e3) = all_0_51_51
% 46.18/15.57  																				|
% 46.18/15.57  																				| From (744) and (275) follows:
% 46.18/15.57  																				| (1522) op(e0, e3) = e3
% 46.18/15.57  																				|
% 46.18/15.57  																				+-Applying beta-rule and splitting (246), into two cases.
% 46.18/15.57  																				|-Branch one:
% 46.18/15.57  																				| (400) all_0_78_78 = e2
% 46.18/15.57  																				|
% 46.18/15.57  																					| Combining equations (676,400) yields a new equation:
% 46.18/15.57  																					| (385) e2 = e1
% 46.18/15.57  																					|
% 46.18/15.57  																					| Equations (385) can reduce 243 to:
% 46.18/15.57  																					| (311) $false
% 46.18/15.57  																					|
% 46.18/15.57  																					|-The branch is then unsatisfiable
% 46.18/15.57  																				|-Branch two:
% 46.18/15.57  																				| (346)  ~ (all_0_78_78 = e2)
% 46.18/15.57  																				| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.57  																				|
% 46.18/15.57  																					+-Applying beta-rule and splitting (13415), into two cases.
% 46.18/15.57  																					|-Branch one:
% 46.18/15.57  																					| (530) all_0_82_82 = e2
% 46.18/15.57  																					|
% 46.18/15.57  																						| Combining equations (469,530) yields a new equation:
% 46.18/15.57  																						| (309) e4 = e2
% 46.18/15.57  																						|
% 46.18/15.57  																						| Simplifying 309 yields:
% 46.18/15.57  																						| (310) e4 = e2
% 46.18/15.57  																						|
% 46.18/15.57  																						| Equations (310) can reduce 79 to:
% 46.18/15.57  																						| (311) $false
% 46.18/15.57  																						|
% 46.18/15.57  																						|-The branch is then unsatisfiable
% 46.18/15.57  																					|-Branch two:
% 46.18/15.57  																					| (347)  ~ (all_0_82_82 = e2)
% 46.18/15.57  																					| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.57  																					|
% 46.18/15.57  																						+-Applying beta-rule and splitting (27), into two cases.
% 46.18/15.57  																						|-Branch one:
% 46.18/15.57  																						| (746) all_0_90_90 = e2
% 46.18/15.57  																						|
% 46.18/15.57  																							| Equations (746) can reduce 745 to:
% 46.18/15.57  																							| (356)  ~ (e3 = e2)
% 46.18/15.57  																							|
% 46.18/15.57  																							| Simplifying 356 yields:
% 46.18/15.57  																							| (169)  ~ (e3 = e2)
% 46.18/15.57  																							|
% 46.18/15.57  																							| Equations (746) can reduce 762 to:
% 46.18/15.57  																							| (76)  ~ (e2 = e0)
% 46.18/15.57  																							|
% 46.18/15.57  																							| From (746) and (217) follows:
% 46.18/15.57  																							| (31908) op(e3, e2) = all_0_48_48
% 46.18/15.57  																							|
% 46.18/15.57  																							| Instantiating formula (262) with e3, e3, all_0_50_50, e4 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e4, yields:
% 46.18/15.57  																							| (10303) all_0_50_50 = e4
% 46.18/15.57  																							|
% 46.18/15.57  																							| Instantiating formula (262) with e3, e2, all_0_48_48, all_0_83_83 and discharging atoms op(e3, e2) = all_0_48_48, op(e3, e2) = all_0_83_83, yields:
% 46.18/15.58  																							| (31910) all_0_48_48 = all_0_83_83
% 46.18/15.58  																							|
% 46.18/15.58  																							| Instantiating formula (262) with e3, e0, all_0_46_46, all_0_85_85 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = all_0_85_85, yields:
% 46.18/15.58  																							| (9576) all_0_46_46 = all_0_85_85
% 46.18/15.58  																							|
% 46.18/15.58  																							| Instantiating formula (262) with e0, e3, e3, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = e3, yields:
% 46.18/15.58  																							| (1551) all_0_51_51 = e3
% 46.18/15.58  																							|
% 46.18/15.58  																							| From (1551) and (1521) follows:
% 46.18/15.58  																							| (1522) op(e0, e3) = e3
% 46.18/15.58  																							|
% 46.18/15.58  																							+-Applying beta-rule and splitting (186), into two cases.
% 46.18/15.58  																							|-Branch one:
% 46.18/15.58  																							| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 46.18/15.58  																							|
% 46.18/15.58  																								+-Applying beta-rule and splitting (726), into two cases.
% 46.18/15.58  																								|-Branch one:
% 46.18/15.58  																								| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 46.18/15.58  																								|
% 46.18/15.58  																									+-Applying beta-rule and splitting (727), into two cases.
% 46.18/15.58  																									|-Branch one:
% 46.18/15.58  																									| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 46.18/15.58  																									|
% 46.18/15.58  																										| Applying alpha-rule on (728) yields:
% 46.18/15.58  																										| (729) all_0_43_43 = e4
% 46.18/15.58  																										| (730)  ~ (all_0_44_44 = e3)
% 46.18/15.58  																										|
% 46.18/15.58  																										| Combining equations (729,687) yields a new equation:
% 46.18/15.58  																										| (438) all_0_84_84 = e4
% 46.18/15.58  																										|
% 46.18/15.58  																										| Equations (438) can reduce 417 to:
% 46.18/15.58  																										| (311) $false
% 46.18/15.58  																										|
% 46.18/15.58  																										|-The branch is then unsatisfiable
% 46.18/15.58  																									|-Branch two:
% 46.18/15.58  																									| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 46.18/15.58  																									|
% 46.18/15.58  																										| Applying alpha-rule on (734) yields:
% 46.18/15.58  																										| (735) all_0_46_46 = e2
% 46.18/15.58  																										| (736)  ~ (all_0_47_47 = e3)
% 46.18/15.58  																										|
% 46.18/15.58  																										| Combining equations (735,9576) yields a new equation:
% 46.18/15.58  																										| (512) all_0_85_85 = e2
% 46.18/15.58  																										|
% 46.18/15.58  																										| Equations (512) can reduce 154 to:
% 46.18/15.58  																										| (612)  ~ (all_0_84_84 = e2)
% 46.18/15.58  																										|
% 46.18/15.58  																										| Equations (512) can reduce 78 to:
% 46.18/15.58  																										| (350)  ~ (all_0_88_88 = e2)
% 46.18/15.58  																										|
% 46.18/15.58  																										| Simplifying 350 yields:
% 46.18/15.58  																										| (351)  ~ (all_0_88_88 = e2)
% 46.18/15.58  																										|
% 46.18/15.58  																										| From (512) and (26) follows:
% 46.18/15.58  																										| (1290) op(e0, e2) = all_0_71_71
% 46.18/15.58  																										|
% 46.18/15.58  																										+-Applying beta-rule and splitting (47), into two cases.
% 46.18/15.58  																										|-Branch one:
% 46.18/15.58  																										| (370) all_0_88_88 = e2
% 46.18/15.58  																										|
% 46.18/15.58  																											| Equations (370) can reduce 351 to:
% 46.18/15.58  																											| (311) $false
% 46.18/15.58  																											|
% 46.18/15.58  																											|-The branch is then unsatisfiable
% 46.18/15.58  																										|-Branch two:
% 46.18/15.58  																										| (351)  ~ (all_0_88_88 = e2)
% 46.18/15.58  																										| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 46.18/15.58  																										|
% 46.18/15.58  																											+-Applying beta-rule and splitting (250), into two cases.
% 46.18/15.58  																											|-Branch one:
% 46.18/15.58  																											| (635) all_0_81_81 = e3
% 46.18/15.58  																											|
% 46.18/15.58  																												| Combining equations (635,638) yields a new equation:
% 46.18/15.58  																												| (434) e4 = e3
% 46.18/15.58  																												|
% 46.18/15.58  																												| Equations (434) can reduce 177 to:
% 46.18/15.58  																												| (311) $false
% 46.18/15.58  																												|
% 46.18/15.58  																												|-The branch is then unsatisfiable
% 46.18/15.58  																											|-Branch two:
% 46.18/15.58  																											| (420)  ~ (all_0_81_81 = e3)
% 46.18/15.58  																											| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.18/15.58  																											|
% 46.18/15.58  																												+-Applying beta-rule and splitting (4488), into two cases.
% 46.18/15.58  																												|-Branch one:
% 46.18/15.58  																												| (804) all_0_85_85 = e3
% 46.18/15.58  																												|
% 46.18/15.58  																													| Combining equations (804,512) yields a new equation:
% 46.18/15.58  																													| (547) e3 = e2
% 46.18/15.58  																													|
% 46.18/15.58  																													| Simplifying 547 yields:
% 46.18/15.58  																													| (548) e3 = e2
% 46.18/15.58  																													|
% 46.18/15.58  																													| Equations (548) can reduce 169 to:
% 46.18/15.58  																													| (311) $false
% 46.18/15.58  																													|
% 46.18/15.58  																													|-The branch is then unsatisfiable
% 46.18/15.58  																												|-Branch two:
% 46.18/15.58  																												| (952)  ~ (all_0_85_85 = e3)
% 46.18/15.58  																												| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.18/15.58  																												|
% 46.18/15.58  																													+-Applying beta-rule and splitting (208), into two cases.
% 46.18/15.58  																													|-Branch one:
% 46.18/15.58  																													| (345) all_0_86_86 = e2
% 46.18/15.58  																													|
% 46.18/15.58  																														| Combining equations (378,345) yields a new equation:
% 46.18/15.58  																														| (379) e2 = e0
% 46.18/15.58  																														|
% 46.18/15.58  																														| Equations (379) can reduce 76 to:
% 46.18/15.58  																														| (311) $false
% 46.18/15.58  																														|
% 46.18/15.58  																														|-The branch is then unsatisfiable
% 46.18/15.58  																													|-Branch two:
% 46.18/15.58  																													| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.58  																													| (9508) all_0_87_87 = e2 | all_0_88_88 = e2
% 46.18/15.58  																													|
% 46.18/15.58  																														| Equations (378) can reduce 9507 to:
% 46.18/15.58  																														| (510)  ~ (e2 = e0)
% 46.18/15.58  																														|
% 46.18/15.58  																														| Simplifying 510 yields:
% 46.18/15.58  																														| (76)  ~ (e2 = e0)
% 46.18/15.58  																														|
% 46.18/15.58  																														+-Applying beta-rule and splitting (92), into two cases.
% 46.18/15.58  																														|-Branch one:
% 46.18/15.58  																														| (552) all_0_84_84 = e2
% 46.18/15.58  																														|
% 46.18/15.58  																															| Equations (552) can reduce 612 to:
% 46.18/15.58  																															| (311) $false
% 46.18/15.58  																															|
% 46.18/15.58  																															|-The branch is then unsatisfiable
% 46.18/15.58  																														|-Branch two:
% 46.18/15.58  																														| (612)  ~ (all_0_84_84 = e2)
% 46.18/15.58  																														| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.18/15.58  																														|
% 46.18/15.58  																															+-Applying beta-rule and splitting (4559), into two cases.
% 46.18/15.58  																															|-Branch one:
% 46.18/15.58  																															| (570) all_0_93_93 = e3
% 46.18/15.58  																															|
% 46.18/15.58  																																| Equations (570) can reduce 286 to:
% 46.18/15.58  																																| (191)  ~ (all_0_88_88 = e3)
% 46.18/15.58  																																|
% 46.18/15.58  																																| Equations (570) can reduce 283 to:
% 46.18/15.58  																																| (426)  ~ (all_0_92_92 = e3)
% 46.18/15.58  																																|
% 46.18/15.58  																																| From (570) and (173) follows:
% 46.18/15.58  																																| (4654) op(e0, e3) = all_0_75_75
% 46.18/15.58  																																|
% 46.18/15.58  																																+-Applying beta-rule and splitting (289), into two cases.
% 46.18/15.58  																																|-Branch one:
% 46.18/15.58  																																| (954) all_0_85_85 = e0
% 46.18/15.58  																																|
% 46.18/15.58  																																	| Combining equations (512,954) yields a new equation:
% 46.18/15.58  																																	| (923) e2 = e0
% 46.18/15.58  																																	|
% 46.18/15.58  																																	| Simplifying 923 yields:
% 46.18/15.58  																																	| (379) e2 = e0
% 46.18/15.58  																																	|
% 46.18/15.58  																																	| Equations (379) can reduce 76 to:
% 46.18/15.58  																																	| (311) $false
% 46.18/15.58  																																	|
% 46.18/15.58  																																	|-The branch is then unsatisfiable
% 46.18/15.58  																																|-Branch two:
% 46.18/15.58  																																| (800)  ~ (all_0_85_85 = e0)
% 46.18/15.58  																																| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.18/15.58  																																|
% 46.18/15.58  																																	+-Applying beta-rule and splitting (617), into two cases.
% 46.18/15.58  																																	|-Branch one:
% 46.18/15.58  																																	| (1265) all_0_84_84 = e3
% 46.18/15.58  																																	|
% 46.18/15.58  																																		| Equations (1265) can reduce 422 to:
% 46.18/15.58  																																		| (311) $false
% 46.18/15.58  																																		|
% 46.18/15.58  																																		|-The branch is then unsatisfiable
% 46.18/15.58  																																	|-Branch two:
% 46.18/15.58  																																	| (422)  ~ (all_0_84_84 = e3)
% 46.18/15.58  																																	| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.18/15.58  																																	|
% 46.18/15.58  																																		+-Applying beta-rule and splitting (1268), into two cases.
% 46.18/15.58  																																		|-Branch one:
% 46.18/15.58  																																		| (916) all_0_84_84 = e0
% 46.18/15.58  																																		|
% 46.18/15.58  																																			| Equations (916) can reduce 223 to:
% 46.18/15.58  																																			| (1314)  ~ (all_0_83_83 = e0)
% 46.18/15.58  																																			|
% 46.18/15.58  																																			| Equations (916) can reduce 259 to:
% 46.18/15.58  																																			| (859)  ~ (e1 = e0)
% 46.18/15.58  																																			|
% 46.18/15.58  																																			| Simplifying 859 yields:
% 46.18/15.58  																																			| (264)  ~ (e1 = e0)
% 46.18/15.58  																																			|
% 46.18/15.58  																																			+-Applying beta-rule and splitting (1077), into two cases.
% 46.18/15.58  																																			|-Branch one:
% 46.18/15.58  																																			| (507) all_0_88_88 = e0
% 46.18/15.58  																																			|
% 46.18/15.58  																																				| Equations (507) can reduce 1110 to:
% 46.18/15.58  																																				| (311) $false
% 46.18/15.58  																																				|
% 46.18/15.58  																																				|-The branch is then unsatisfiable
% 46.18/15.58  																																			|-Branch two:
% 46.18/15.58  																																			| (1110)  ~ (all_0_88_88 = e0)
% 46.18/15.58  																																			| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.18/15.58  																																			|
% 46.18/15.58  																																				+-Applying beta-rule and splitting (456), into two cases.
% 46.18/15.58  																																				|-Branch one:
% 46.18/15.58  																																				| (795) all_0_83_83 = e3
% 46.18/15.58  																																				|
% 46.18/15.58  																																					| Equations (795) can reduce 211 to:
% 46.18/15.58  																																					| (1300)  ~ (all_0_96_96 = e3)
% 46.18/15.58  																																					|
% 46.18/15.58  																																					| Simplifying 1300 yields:
% 46.18/15.58  																																					| (964)  ~ (all_0_96_96 = e3)
% 46.18/15.58  																																					|
% 46.18/15.58  																																					| Equations (795) can reduce 113 to:
% 46.18/15.58  																																					| (20)  ~ (e3 = e1)
% 46.18/15.58  																																					|
% 46.18/15.58  																																					| Equations (795) can reduce 1314 to:
% 46.18/15.58  																																					| (50)  ~ (e3 = e0)
% 46.18/15.58  																																					|
% 46.18/15.58  																																					+-Applying beta-rule and splitting (1111), into two cases.
% 46.18/15.58  																																					|-Branch one:
% 46.18/15.58  																																					| (604) all_0_93_93 = e0
% 46.18/15.58  																																					|
% 46.18/15.58  																																						| Combining equations (570,604) yields a new equation:
% 46.18/15.58  																																						| (599) e3 = e0
% 46.18/15.58  																																						|
% 46.18/15.58  																																						| Simplifying 599 yields:
% 46.18/15.58  																																						| (600) e3 = e0
% 46.18/15.58  																																						|
% 46.18/15.58  																																						| Equations (600) can reduce 50 to:
% 46.18/15.58  																																						| (311) $false
% 46.18/15.58  																																						|
% 46.18/15.58  																																						|-The branch is then unsatisfiable
% 46.18/15.58  																																					|-Branch two:
% 46.18/15.58  																																					| (509)  ~ (all_0_93_93 = e0)
% 46.18/15.58  																																					| (1121) all_0_98_98 = e0
% 46.18/15.58  																																					|
% 46.18/15.58  																																						| Equations (1121) can reduce 43 to:
% 46.18/15.58  																																						| (2095)  ~ (all_0_96_96 = e0)
% 46.18/15.58  																																						|
% 46.18/15.58  																																						+-Applying beta-rule and splitting (176), into two cases.
% 46.18/15.58  																																						|-Branch one:
% 46.18/15.58  																																						| (785) all_0_95_95 = e1
% 46.18/15.58  																																						|
% 46.18/15.58  																																							| Combining equations (744,785) yields a new equation:
% 46.18/15.58  																																							| (825) e3 = e1
% 46.18/15.58  																																							|
% 46.18/15.58  																																							| Simplifying 825 yields:
% 46.18/15.58  																																							| (772) e3 = e1
% 46.18/15.58  																																							|
% 46.18/15.58  																																							| Equations (772) can reduce 20 to:
% 46.18/15.58  																																							| (311) $false
% 46.18/15.58  																																							|
% 46.18/15.58  																																							|-The branch is then unsatisfiable
% 46.18/15.58  																																						|-Branch two:
% 46.18/15.58  																																						| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.58  																																						| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.18/15.58  																																						|
% 46.18/15.58  																																							+-Applying beta-rule and splitting (788), into two cases.
% 46.18/15.58  																																							|-Branch one:
% 46.18/15.58  																																							| (960) all_0_96_96 = e1
% 46.18/15.58  																																							|
% 46.18/15.58  																																								| Equations (960) can reduce 115 to:
% 46.18/15.58  																																								| (681)  ~ (e4 = e1)
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| Simplifying 681 yields:
% 46.18/15.58  																																								| (256)  ~ (e4 = e1)
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| Equations (960) can reduce 964 to:
% 46.18/15.58  																																								| (683)  ~ (e3 = e1)
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| Simplifying 683 yields:
% 46.18/15.58  																																								| (20)  ~ (e3 = e1)
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| Equations (960) can reduce 2095 to:
% 46.18/15.58  																																								| (264)  ~ (e1 = e0)
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| From (960) and (268) follows:
% 46.18/15.58  																																								| (19923) op(e0, e1) = all_0_59_59
% 46.18/15.58  																																								|
% 46.18/15.58  																																								| From (960) and (59) follows:
% 46.18/15.58  																																								| (32002) op(e0, e2) = e1
% 46.18/15.58  																																								|
% 46.18/15.58  																																								+-Applying beta-rule and splitting (108), into two cases.
% 46.18/15.58  																																								|-Branch one:
% 46.18/15.58  																																								| (477) all_0_81_81 = e1
% 46.18/15.58  																																								|
% 46.18/15.58  																																									| Combining equations (638,477) yields a new equation:
% 46.18/15.58  																																									| (813) e4 = e1
% 46.18/15.58  																																									|
% 46.18/15.58  																																									| Simplifying 813 yields:
% 46.18/15.58  																																									| (814) e4 = e1
% 46.18/15.58  																																									|
% 46.18/15.58  																																									| Equations (814) can reduce 256 to:
% 46.18/15.58  																																									| (311) $false
% 46.18/15.58  																																									|
% 46.18/15.58  																																									|-The branch is then unsatisfiable
% 46.18/15.58  																																								|-Branch two:
% 46.18/15.58  																																								| (628)  ~ (all_0_81_81 = e1)
% 46.18/15.58  																																								| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 46.18/15.58  																																								|
% 46.18/15.58  																																									+-Applying beta-rule and splitting (817), into two cases.
% 46.18/15.58  																																									|-Branch one:
% 46.18/15.58  																																									| (504) all_0_88_88 = e1
% 46.18/15.58  																																									|
% 46.18/15.58  																																										| Equations (504) can reduce 181 to:
% 46.18/15.58  																																										| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Equations (504) can reduce 93 to:
% 46.18/15.58  																																										| (681)  ~ (e4 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Simplifying 681 yields:
% 46.18/15.58  																																										| (256)  ~ (e4 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Equations (504) can reduce 191 to:
% 46.18/15.58  																																										| (683)  ~ (e3 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Simplifying 683 yields:
% 46.18/15.58  																																										| (20)  ~ (e3 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Equations (504) can reduce 351 to:
% 46.18/15.58  																																										| (487)  ~ (e2 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| Simplifying 487 yields:
% 46.18/15.58  																																										| (243)  ~ (e2 = e1)
% 46.18/15.58  																																										|
% 46.18/15.58  																																										| From (504) and (239) follows:
% 46.18/15.58  																																										| (2530) op(e0, e1) = all_0_73_73
% 46.18/15.58  																																										|
% 46.18/15.58  																																										+-Applying beta-rule and splitting (62), into two cases.
% 46.18/15.58  																																										|-Branch one:
% 46.18/15.58  																																										| (374) all_0_87_87 = e2
% 46.18/15.58  																																										|
% 46.18/15.58  																																											| Equations (374) can reduce 216 to:
% 46.18/15.58  																																											| (528)  ~ (e4 = e2)
% 46.18/15.58  																																											|
% 46.18/15.58  																																											| Simplifying 528 yields:
% 46.18/15.58  																																											| (79)  ~ (e4 = e2)
% 46.18/15.58  																																											|
% 46.18/15.58  																																											| Equations (374) can reduce 625 to:
% 46.18/15.58  																																											| (243)  ~ (e2 = e1)
% 46.18/15.58  																																											|
% 46.18/15.58  																																											+-Applying beta-rule and splitting (132), into two cases.
% 46.18/15.58  																																											|-Branch one:
% 46.18/15.58  																																											| (750) all_0_90_90 = e1
% 46.18/15.58  																																											|
% 46.18/15.58  																																												| Combining equations (746,750) yields a new equation:
% 46.18/15.58  																																												| (408) e2 = e1
% 46.18/15.58  																																												|
% 46.18/15.58  																																												| Simplifying 408 yields:
% 46.18/15.58  																																												| (385) e2 = e1
% 46.18/15.58  																																												|
% 46.18/15.58  																																												| Equations (385) can reduce 243 to:
% 46.18/15.58  																																												| (311) $false
% 46.18/15.58  																																												|
% 46.18/15.58  																																												|-The branch is then unsatisfiable
% 46.18/15.58  																																											|-Branch two:
% 46.18/15.58  																																											| (678)  ~ (all_0_90_90 = e1)
% 46.18/15.58  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.18/15.58  																																											|
% 46.18/15.58  																																												| Equations (746) can reduce 678 to:
% 46.18/15.58  																																												| (243)  ~ (e2 = e1)
% 46.18/15.58  																																												|
% 46.18/15.58  																																												+-Applying beta-rule and splitting (151), into two cases.
% 46.18/15.58  																																												|-Branch one:
% 46.18/15.58  																																												| (824) all_0_80_80 = e1
% 46.18/15.58  																																												|
% 46.18/15.58  																																													| Combining equations (416,824) yields a new equation:
% 46.18/15.58  																																													| (825) e3 = e1
% 46.18/15.58  																																													|
% 46.18/15.58  																																													| Simplifying 825 yields:
% 46.18/15.58  																																													| (772) e3 = e1
% 46.18/15.58  																																													|
% 46.18/15.58  																																													| Equations (772) can reduce 20 to:
% 46.18/15.58  																																													| (311) $false
% 46.18/15.58  																																													|
% 46.18/15.58  																																													|-The branch is then unsatisfiable
% 46.18/15.58  																																												|-Branch two:
% 46.18/15.58  																																												| (828)  ~ (all_0_80_80 = e1)
% 46.18/15.58  																																												| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.18/15.58  																																												|
% 46.18/15.58  																																													+-Applying beta-rule and splitting (829), into two cases.
% 46.18/15.58  																																													|-Branch one:
% 46.18/15.58  																																													| (482) all_0_87_87 = e1
% 46.18/15.58  																																													|
% 46.18/15.58  																																														| Combining equations (374,482) yields a new equation:
% 46.18/15.58  																																														| (408) e2 = e1
% 46.18/15.58  																																														|
% 46.18/15.58  																																														| Simplifying 408 yields:
% 46.18/15.58  																																														| (385) e2 = e1
% 46.18/15.58  																																														|
% 46.18/15.58  																																														| Equations (385) can reduce 243 to:
% 46.18/15.58  																																														| (311) $false
% 46.18/15.58  																																														|
% 46.18/15.58  																																														|-The branch is then unsatisfiable
% 46.18/15.58  																																													|-Branch two:
% 46.18/15.58  																																													| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.58  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.18/15.58  																																													|
% 46.18/15.58  																																														+-Applying beta-rule and splitting (835), into two cases.
% 46.18/15.58  																																														|-Branch one:
% 46.18/15.58  																																														| (836) all_0_92_92 = e1
% 46.18/15.58  																																														|
% 46.18/15.58  																																															| Equations (836) can reduce 426 to:
% 46.18/15.58  																																															| (683)  ~ (e3 = e1)
% 46.18/15.58  																																															|
% 46.18/15.58  																																															| Simplifying 683 yields:
% 46.18/15.58  																																															| (20)  ~ (e3 = e1)
% 46.18/15.58  																																															|
% 46.18/15.58  																																															| Instantiating formula (262) with e0, e3, all_0_75_75, e3 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = e3, yields:
% 46.18/15.59  																																															| (9862) all_0_75_75 = e3
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Instantiating formula (262) with e0, e2, e1, all_0_71_71 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = e1, yields:
% 46.18/15.59  																																															| (1967) all_0_71_71 = e1
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Instantiating formula (262) with e0, e1, all_0_59_59, e4 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e4, yields:
% 46.18/15.59  																																															| (20342) all_0_59_59 = e4
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Instantiating formula (262) with e0, e1, all_0_73_73, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = all_0_73_73, yields:
% 46.18/15.59  																																															| (6598) all_0_59_59 = all_0_73_73
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Combining equations (20342,6598) yields a new equation:
% 46.18/15.59  																																															| (32048) all_0_73_73 = e4
% 46.18/15.59  																																															|
% 46.18/15.59  																																															+-Applying beta-rule and splitting (89), into two cases.
% 46.18/15.59  																																															|-Branch one:
% 46.18/15.59  																																															| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.18/15.59  																																															|
% 46.18/15.59  																																																+-Applying beta-rule and splitting (1373), into two cases.
% 46.18/15.59  																																																|-Branch one:
% 46.18/15.59  																																																| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.18/15.59  																																																|
% 46.18/15.59  																																																	+-Applying beta-rule and splitting (1374), into two cases.
% 46.18/15.59  																																																	|-Branch one:
% 46.18/15.59  																																																	| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																		| Applying alpha-rule on (1375) yields:
% 46.18/15.59  																																																		| (1376) all_0_69_69 = e4
% 46.18/15.59  																																																		| (1377)  ~ (all_0_70_70 = e0)
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		| Combining equations (1376,18072) yields a new equation:
% 46.18/15.59  																																																		| (309) e4 = e2
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		| Simplifying 309 yields:
% 46.18/15.59  																																																		| (310) e4 = e2
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		| Equations (310) can reduce 79 to:
% 46.18/15.59  																																																		| (311) $false
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		|-The branch is then unsatisfiable
% 46.18/15.59  																																																	|-Branch two:
% 46.18/15.59  																																																	| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																		| Applying alpha-rule on (1379) yields:
% 46.18/15.59  																																																		| (1380) all_0_71_71 = e3
% 46.18/15.59  																																																		| (1381)  ~ (all_0_72_72 = e0)
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		| Combining equations (1967,1380) yields a new equation:
% 46.18/15.59  																																																		| (772) e3 = e1
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		| Equations (772) can reduce 20 to:
% 46.18/15.59  																																																		| (311) $false
% 46.18/15.59  																																																		|
% 46.18/15.59  																																																		|-The branch is then unsatisfiable
% 46.18/15.59  																																																|-Branch two:
% 46.18/15.59  																																																| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.18/15.59  																																																|
% 46.18/15.59  																																																	| Applying alpha-rule on (1385) yields:
% 46.18/15.59  																																																	| (1386) all_0_73_73 = e2
% 46.18/15.59  																																																	| (1387)  ~ (all_0_74_74 = e0)
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																	| Combining equations (32048,1386) yields a new equation:
% 46.18/15.59  																																																	| (309) e4 = e2
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																	| Simplifying 309 yields:
% 46.18/15.59  																																																	| (310) e4 = e2
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																	| Equations (310) can reduce 79 to:
% 46.18/15.59  																																																	| (311) $false
% 46.18/15.59  																																																	|
% 46.18/15.59  																																																	|-The branch is then unsatisfiable
% 46.18/15.59  																																															|-Branch two:
% 46.18/15.59  																																															| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.18/15.59  																																															|
% 46.18/15.59  																																																| Applying alpha-rule on (1391) yields:
% 46.18/15.59  																																																| (1392) all_0_75_75 = e1
% 46.18/15.59  																																																| (1393)  ~ (all_0_76_76 = e0)
% 46.18/15.59  																																																|
% 46.18/15.59  																																																| Combining equations (9862,1392) yields a new equation:
% 46.18/15.59  																																																| (825) e3 = e1
% 46.18/15.59  																																																|
% 46.18/15.59  																																																| Simplifying 825 yields:
% 46.18/15.59  																																																| (772) e3 = e1
% 46.18/15.59  																																																|
% 46.18/15.59  																																																| Equations (772) can reduce 20 to:
% 46.18/15.59  																																																| (311) $false
% 46.18/15.59  																																																|
% 46.18/15.59  																																																|-The branch is then unsatisfiable
% 46.18/15.59  																																														|-Branch two:
% 46.18/15.59  																																														| (840)  ~ (all_0_92_92 = e1)
% 46.18/15.59  																																														| (542) all_0_97_97 = e1
% 46.18/15.59  																																														|
% 46.18/15.59  																																															| Combining equations (610,542) yields a new equation:
% 46.18/15.59  																																															| (813) e4 = e1
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Simplifying 813 yields:
% 46.18/15.59  																																															| (814) e4 = e1
% 46.18/15.59  																																															|
% 46.18/15.59  																																															| Equations (814) can reduce 256 to:
% 46.18/15.59  																																															| (311) $false
% 46.18/15.59  																																															|
% 46.18/15.59  																																															|-The branch is then unsatisfiable
% 46.18/15.59  																																										|-Branch two:
% 46.18/15.59  																																										| (349)  ~ (all_0_87_87 = e2)
% 46.18/15.59  																																										| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 46.18/15.59  																																										|
% 46.18/15.59  																																											+-Applying beta-rule and splitting (9508), into two cases.
% 46.18/15.59  																																											|-Branch one:
% 46.18/15.59  																																											| (374) all_0_87_87 = e2
% 46.18/15.59  																																											|
% 46.18/15.59  																																												| Equations (374) can reduce 349 to:
% 46.18/15.59  																																												| (311) $false
% 46.18/15.59  																																												|
% 46.18/15.59  																																												|-The branch is then unsatisfiable
% 46.18/15.59  																																											|-Branch two:
% 46.18/15.59  																																											| (349)  ~ (all_0_87_87 = e2)
% 46.18/15.59  																																											| (370) all_0_88_88 = e2
% 46.18/15.59  																																											|
% 46.18/15.59  																																												| Combining equations (504,370) yields a new equation:
% 46.18/15.59  																																												| (385) e2 = e1
% 46.18/15.59  																																												|
% 46.18/15.59  																																												| Equations (385) can reduce 243 to:
% 46.18/15.59  																																												| (311) $false
% 46.18/15.59  																																												|
% 46.18/15.59  																																												|-The branch is then unsatisfiable
% 46.18/15.59  																																									|-Branch two:
% 46.18/15.59  																																									| (479)  ~ (all_0_88_88 = e1)
% 46.18/15.59  																																									| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 46.18/15.59  																																									|
% 46.18/15.59  																																										+-Applying beta-rule and splitting (897), into two cases.
% 46.18/15.59  																																										|-Branch one:
% 46.18/15.59  																																										| (566) all_0_93_93 = e1
% 46.18/15.59  																																										|
% 46.18/15.59  																																											| Combining equations (570,566) yields a new equation:
% 46.18/15.59  																																											| (825) e3 = e1
% 46.18/15.59  																																											|
% 46.18/15.59  																																											| Simplifying 825 yields:
% 46.18/15.59  																																											| (772) e3 = e1
% 46.18/15.59  																																											|
% 46.18/15.59  																																											| Equations (772) can reduce 20 to:
% 46.18/15.59  																																											| (311) $false
% 46.18/15.59  																																											|
% 46.18/15.59  																																											|-The branch is then unsatisfiable
% 46.18/15.59  																																										|-Branch two:
% 46.18/15.59  																																										| (481)  ~ (all_0_93_93 = e1)
% 46.18/15.59  																																										| (1543) all_0_98_98 = e1
% 46.18/15.59  																																										|
% 46.18/15.59  																																											| Combining equations (1121,1543) yields a new equation:
% 46.18/15.59  																																											| (865) e1 = e0
% 46.18/15.59  																																											|
% 46.18/15.59  																																											| Equations (865) can reduce 264 to:
% 46.18/15.59  																																											| (311) $false
% 46.18/15.59  																																											|
% 46.18/15.59  																																											|-The branch is then unsatisfiable
% 46.18/15.59  																																							|-Branch two:
% 46.18/15.59  																																							| (1479)  ~ (all_0_96_96 = e1)
% 46.18/15.59  																																							| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.18/15.59  																																							|
% 46.18/15.59  																																								+-Applying beta-rule and splitting (2126), into two cases.
% 46.18/15.59  																																								|-Branch one:
% 46.18/15.59  																																								| (542) all_0_97_97 = e1
% 46.18/15.59  																																								|
% 46.18/15.59  																																									| Combining equations (542,610) yields a new equation:
% 46.18/15.59  																																									| (814) e4 = e1
% 46.18/15.59  																																									|
% 46.18/15.59  																																									| Equations (814) can reduce 256 to:
% 46.18/15.59  																																									| (311) $false
% 46.18/15.59  																																									|
% 46.18/15.59  																																									|-The branch is then unsatisfiable
% 46.18/15.59  																																								|-Branch two:
% 46.18/15.59  																																								| (486)  ~ (all_0_97_97 = e1)
% 46.18/15.59  																																								| (1543) all_0_98_98 = e1
% 46.18/15.59  																																								|
% 46.18/15.59  																																									| Combining equations (1121,1543) yields a new equation:
% 46.18/15.59  																																									| (865) e1 = e0
% 46.18/15.59  																																									|
% 46.18/15.59  																																									| Equations (865) can reduce 264 to:
% 46.18/15.59  																																									| (311) $false
% 46.18/15.59  																																									|
% 46.18/15.59  																																									|-The branch is then unsatisfiable
% 46.18/15.59  																																				|-Branch two:
% 46.18/15.59  																																				| (779)  ~ (all_0_83_83 = e3)
% 46.18/15.59  																																				| (798) all_0_83_83 = e0
% 46.18/15.59  																																				|
% 46.18/15.59  																																					| Equations (798) can reduce 1314 to:
% 46.18/15.59  																																					| (311) $false
% 46.18/15.59  																																					|
% 46.18/15.59  																																					|-The branch is then unsatisfiable
% 46.18/15.59  																																		|-Branch two:
% 46.18/15.59  																																		| (919)  ~ (all_0_84_84 = e0)
% 46.18/15.59  																																		| (438) all_0_84_84 = e4
% 46.18/15.59  																																		|
% 46.18/15.59  																																			| Equations (438) can reduce 417 to:
% 46.18/15.59  																																			| (311) $false
% 46.18/15.59  																																			|
% 46.18/15.59  																																			|-The branch is then unsatisfiable
% 46.18/15.59  																															|-Branch two:
% 46.18/15.59  																															| (602)  ~ (all_0_93_93 = e3)
% 46.18/15.59  																															| (969) all_0_98_98 = e3
% 46.18/15.59  																															|
% 46.18/15.59  																																| Equations (969) can reduce 1519 to:
% 46.18/15.59  																																| (311) $false
% 46.18/15.59  																																|
% 46.18/15.59  																																|-The branch is then unsatisfiable
% 46.18/15.59  																								|-Branch two:
% 46.18/15.59  																								| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 46.18/15.59  																								|
% 46.18/15.59  																									| Applying alpha-rule on (740) yields:
% 46.18/15.59  																									| (741) all_0_48_48 = e1
% 46.18/15.59  																									| (742)  ~ (all_0_49_49 = e3)
% 46.18/15.59  																									|
% 46.18/15.60  																									| Combining equations (741,31910) yields a new equation:
% 46.18/15.60  																									| (32118) all_0_83_83 = e1
% 46.18/15.60  																									|
% 46.18/15.60  																									| Equations (32118) can reduce 113 to:
% 46.18/15.60  																									| (311) $false
% 46.18/15.60  																									|
% 46.18/15.60  																									|-The branch is then unsatisfiable
% 46.18/15.60  																							|-Branch two:
% 46.18/15.60  																							| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 46.18/15.60  																							|
% 46.18/15.60  																								| Applying alpha-rule on (973) yields:
% 46.18/15.60  																								| (974) all_0_50_50 = e0
% 46.18/15.60  																								| (975)  ~ (all_0_51_51 = e3)
% 46.18/15.60  																								|
% 46.18/15.60  																								| Combining equations (10303,974) yields a new equation:
% 46.18/15.60  																								| (911) e4 = e0
% 46.18/15.60  																								|
% 46.18/15.60  																								| Simplifying 911 yields:
% 46.18/15.60  																								| (912) e4 = e0
% 46.18/15.60  																								|
% 46.18/15.60  																								| Equations (912) can reduce 23 to:
% 46.18/15.60  																								| (311) $false
% 46.18/15.60  																								|
% 46.18/15.60  																								|-The branch is then unsatisfiable
% 46.18/15.60  																						|-Branch two:
% 46.18/15.60  																						| (294)  ~ (all_0_90_90 = e2)
% 46.18/15.60  																						| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.18/15.60  																						|
% 46.18/15.60  																							+-Applying beta-rule and splitting (13419), into two cases.
% 46.18/15.60  																							|-Branch one:
% 46.18/15.60  																							| (345) all_0_86_86 = e2
% 46.18/15.60  																							|
% 46.18/15.60  																								| Combining equations (345,378) yields a new equation:
% 46.18/15.60  																								| (923) e2 = e0
% 46.18/15.60  																								|
% 46.18/15.60  																								| Simplifying 923 yields:
% 46.18/15.60  																								| (379) e2 = e0
% 46.18/15.60  																								|
% 46.18/15.60  																								| Equations (379) can reduce 76 to:
% 46.18/15.60  																								| (311) $false
% 46.18/15.60  																								|
% 46.18/15.60  																								|-The branch is then unsatisfiable
% 46.18/15.60  																							|-Branch two:
% 46.18/15.60  																							| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.60  																							| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.60  																							|
% 46.18/15.60  																								+-Applying beta-rule and splitting (13424), into two cases.
% 46.18/15.60  																								|-Branch one:
% 46.18/15.60  																								| (746) all_0_90_90 = e2
% 46.18/15.60  																								|
% 46.18/15.60  																									| Equations (746) can reduce 294 to:
% 46.18/15.60  																									| (311) $false
% 46.18/15.60  																									|
% 46.18/15.60  																									|-The branch is then unsatisfiable
% 46.18/15.60  																								|-Branch two:
% 46.18/15.60  																								| (294)  ~ (all_0_90_90 = e2)
% 46.18/15.60  																								| (767) all_0_95_95 = e2
% 46.18/15.60  																								|
% 46.18/15.60  																									| Combining equations (744,767) yields a new equation:
% 46.18/15.60  																									| (547) e3 = e2
% 46.18/15.60  																									|
% 46.18/15.60  																									| Simplifying 547 yields:
% 46.18/15.60  																									| (548) e3 = e2
% 46.18/15.60  																									|
% 46.18/15.60  																									| Equations (548) can reduce 169 to:
% 46.18/15.60  																									| (311) $false
% 46.18/15.60  																									|
% 46.18/15.60  																									|-The branch is then unsatisfiable
% 46.18/15.60  																			|-Branch two:
% 46.18/15.60  																			| (765)  ~ (all_0_95_95 = e3)
% 46.18/15.60  																			| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.18/15.60  																			|
% 46.18/15.60  																				+-Applying beta-rule and splitting (857), into two cases.
% 46.18/15.60  																				|-Branch one:
% 46.18/15.60  																				| (858) all_0_95_95 = e0
% 46.18/15.60  																				|
% 46.18/15.60  																					| Equations (858) can reduce 893 to:
% 46.18/15.60  																					| (311) $false
% 46.18/15.60  																					|
% 46.18/15.60  																					|-The branch is then unsatisfiable
% 46.18/15.60  																				|-Branch two:
% 46.18/15.60  																				| (893)  ~ (all_0_95_95 = e0)
% 46.18/15.60  																				| (894) all_0_95_95 = e4
% 46.18/15.60  																				|
% 46.18/15.60  																					| Equations (894) can reduce 315 to:
% 46.18/15.60  																					| (311) $false
% 46.18/15.60  																					|
% 46.18/15.60  																					|-The branch is then unsatisfiable
% 46.18/15.60  														|-Branch two:
% 46.18/15.60  														| (1601)  ~ (all_0_78_78 = e1)
% 46.18/15.60  														| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 46.18/15.60  														|
% 46.18/15.60  															+-Applying beta-rule and splitting (675), into two cases.
% 46.18/15.60  															|-Branch one:
% 46.18/15.60  															| (676) all_0_78_78 = e1
% 46.18/15.60  															|
% 46.18/15.60  																| Equations (676) can reduce 1601 to:
% 46.18/15.60  																| (311) $false
% 46.18/15.60  																|
% 46.18/15.60  																|-The branch is then unsatisfiable
% 46.18/15.60  															|-Branch two:
% 46.18/15.60  															| (1601)  ~ (all_0_78_78 = e1)
% 46.18/15.60  															| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 46.18/15.60  															|
% 46.18/15.60  																+-Applying beta-rule and splitting (1606), into two cases.
% 46.18/15.60  																|-Branch one:
% 46.18/15.60  																| (771) all_0_78_78 = e3
% 46.18/15.60  																|
% 46.18/15.60  																	| Equations (771) can reduce 418 to:
% 46.18/15.60  																	| (311) $false
% 46.18/15.60  																	|
% 46.18/15.60  																	|-The branch is then unsatisfiable
% 46.18/15.60  																|-Branch two:
% 46.18/15.60  																| (418)  ~ (all_0_78_78 = e3)
% 46.18/15.60  																| (463) all_0_78_78 = e4
% 46.18/15.60  																|
% 46.18/15.60  																	| Equations (463) can reduce 640 to:
% 46.18/15.60  																	| (311) $false
% 46.18/15.60  																	|
% 46.18/15.60  																	|-The branch is then unsatisfiable
% 46.18/15.60  												|-Branch two:
% 46.18/15.60  												| (634)  ~ (all_0_81_81 = e4)
% 46.18/15.60  												| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 46.18/15.60  												|
% 46.18/15.60  													+-Applying beta-rule and splitting (641), into two cases.
% 46.18/15.60  													|-Branch one:
% 46.18/15.60  													| (433) all_0_80_80 = e4
% 46.18/15.60  													|
% 46.18/15.60  														| Combining equations (416,433) yields a new equation:
% 46.18/15.60  														| (434) e4 = e3
% 46.18/15.60  														|
% 46.18/15.60  														| Equations (434) can reduce 177 to:
% 46.18/15.60  														| (311) $false
% 46.18/15.60  														|
% 46.18/15.60  														|-The branch is then unsatisfiable
% 46.18/15.60  													|-Branch two:
% 46.18/15.60  													| (436)  ~ (all_0_80_80 = e4)
% 46.18/15.60  													| (638) all_0_81_81 = e4
% 46.18/15.60  													|
% 46.18/15.60  														| Equations (638) can reduce 634 to:
% 46.18/15.60  														| (311) $false
% 46.18/15.60  														|
% 46.18/15.60  														|-The branch is then unsatisfiable
% 46.18/15.60  										|-Branch two:
% 46.18/15.60  										| (465)  ~ (all_0_82_82 = e4)
% 46.18/15.60  										| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.18/15.60  										|
% 46.18/15.60  											+-Applying beta-rule and splitting (472), into two cases.
% 46.18/15.60  											|-Branch one:
% 46.18/15.60  											| (438) all_0_84_84 = e4
% 46.18/15.60  											|
% 46.18/15.60  												| Equations (438) can reduce 417 to:
% 46.18/15.60  												| (311) $false
% 46.18/15.60  												|
% 46.18/15.60  												|-The branch is then unsatisfiable
% 46.18/15.60  											|-Branch two:
% 46.18/15.60  											| (417)  ~ (all_0_84_84 = e4)
% 46.18/15.60  											| (493) all_0_85_85 = e4
% 46.18/15.60  											|
% 46.18/15.60  												| Equations (493) can reduce 118 to:
% 46.18/15.60  												| (634)  ~ (all_0_81_81 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Equations (493) can reduce 226 to:
% 46.18/15.60  												| (155)  ~ (all_0_83_83 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Equations (493) can reduce 154 to:
% 46.18/15.60  												| (417)  ~ (all_0_84_84 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Equations (493) can reduce 78 to:
% 46.18/15.60  												| (649)  ~ (all_0_88_88 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Simplifying 649 yields:
% 46.18/15.60  												| (93)  ~ (all_0_88_88 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Equations (493) can reduce 201 to:
% 46.18/15.60  												| (495)  ~ (all_0_93_93 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Simplifying 495 yields:
% 46.18/15.60  												| (496)  ~ (all_0_93_93 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Equations (493) can reduce 75 to:
% 46.18/15.60  												| (320)  ~ (all_0_98_98 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| Simplifying 320 yields:
% 46.18/15.60  												| (321)  ~ (all_0_98_98 = e4)
% 46.18/15.60  												|
% 46.18/15.60  												| From (493) and (197) follows:
% 46.18/15.60  												| (4405) op(e3, e4) = all_0_72_72
% 46.18/15.60  												|
% 46.18/15.60  												| From (493) and (8) follows:
% 46.18/15.60  												| (4406) op(e3, e0) = e4
% 46.18/15.60  												|
% 46.18/15.60  												| From (493) and (26) follows:
% 46.18/15.60  												| (2742) op(e0, e4) = all_0_71_71
% 46.18/15.60  												|
% 46.18/15.60  												+-Applying beta-rule and splitting (56), into two cases.
% 46.18/15.60  												|-Branch one:
% 46.18/15.60  												| (463) all_0_78_78 = e4
% 46.18/15.60  												|
% 46.18/15.60  													| Equations (463) can reduce 278 to:
% 46.18/15.60  													| (1730)  ~ (all_0_81_81 = e4)
% 46.18/15.60  													|
% 46.18/15.60  													| Simplifying 1730 yields:
% 46.18/15.60  													| (634)  ~ (all_0_81_81 = e4)
% 46.18/15.60  													|
% 46.18/15.60  													| Equations (463) can reduce 193 to:
% 46.18/15.60  													| (464)  ~ (all_0_82_82 = e4)
% 46.18/15.60  													|
% 46.18/15.60  													| Simplifying 464 yields:
% 46.18/15.60  													| (465)  ~ (all_0_82_82 = e4)
% 46.18/15.60  													|
% 46.18/15.60  													| Equations (463) can reduce 82 to:
% 46.18/15.60  													| (30680)  ~ (all_0_86_86 = e4)
% 46.18/15.60  													|
% 46.18/15.61  													| Simplifying 30680 yields:
% 46.18/15.61  													| (241)  ~ (all_0_86_86 = e4)
% 46.18/15.61  													|
% 46.18/15.61  													| Equations (463) can reduce 85 to:
% 46.18/15.61  													| (466)  ~ (all_0_90_90 = e4)
% 46.18/15.61  													|
% 46.18/15.61  													| Simplifying 466 yields:
% 46.18/15.61  													| (467)  ~ (all_0_90_90 = e4)
% 46.18/15.61  													|
% 46.18/15.61  													| Equations (463) can reduce 125 to:
% 46.18/15.61  													| (314)  ~ (all_0_95_95 = e4)
% 46.18/15.61  													|
% 46.18/15.61  													| Simplifying 314 yields:
% 46.18/15.61  													| (315)  ~ (all_0_95_95 = e4)
% 46.18/15.61  													|
% 46.18/15.61  													| Equations (463) can reduce 418 to:
% 46.18/15.61  													| (177)  ~ (e4 = e3)
% 46.18/15.61  													|
% 46.18/15.61  													| Equations (463) can reduce 346 to:
% 46.18/15.61  													| (79)  ~ (e4 = e2)
% 46.18/15.61  													|
% 46.18/15.61  													| From (463) and (263) follows:
% 46.18/15.61  													| (4757) op(e4, e3) = e4
% 46.18/15.61  													|
% 46.18/15.61  													| From (463) and (138) follows:
% 46.18/15.61  													| (12255) op(e3, e4) = all_0_43_43
% 46.18/15.61  													|
% 46.18/15.61  													+-Applying beta-rule and splitting (123), into two cases.
% 46.18/15.61  													|-Branch one:
% 46.18/15.61  													| (473) all_0_81_81 = e2
% 46.18/15.61  													|
% 46.18/15.61  														| Equations (473) can reduce 396 to:
% 46.18/15.61  														| (311) $false
% 46.18/15.61  														|
% 46.18/15.61  														|-The branch is then unsatisfiable
% 46.18/15.61  													|-Branch two:
% 46.18/15.61  													| (396)  ~ (all_0_81_81 = e2)
% 46.18/15.61  													| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 46.18/15.61  													|
% 46.18/15.61  														+-Applying beta-rule and splitting (476), into two cases.
% 46.18/15.61  														|-Branch one:
% 46.18/15.61  														| (477) all_0_81_81 = e1
% 46.18/15.61  														|
% 46.18/15.61  															| Equations (477) can reduce 266 to:
% 46.18/15.61  															| (478)  ~ (all_0_88_88 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Simplifying 478 yields:
% 46.18/15.61  															| (479)  ~ (all_0_88_88 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Equations (477) can reduce 277 to:
% 46.18/15.61  															| (480)  ~ (all_0_93_93 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Simplifying 480 yields:
% 46.18/15.61  															| (481)  ~ (all_0_93_93 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Equations (477) can reduce 5 to:
% 46.18/15.61  															| (1803)  ~ (all_0_98_98 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Simplifying 1803 yields:
% 46.18/15.61  															| (1804)  ~ (all_0_98_98 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Equations (477) can reduce 396 to:
% 46.18/15.61  															| (487)  ~ (e2 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Simplifying 487 yields:
% 46.18/15.61  															| (243)  ~ (e2 = e1)
% 46.18/15.61  															|
% 46.18/15.61  															| Equations (477) can reduce 257 to:
% 46.18/15.61  															| (264)  ~ (e1 = e0)
% 46.18/15.61  															|
% 46.18/15.61  															| From (477) and (68) follows:
% 46.18/15.61  															| (32214) op(e4, e1) = all_0_70_70
% 46.18/15.61  															|
% 46.18/15.61  															| From (477) and (145) follows:
% 46.18/15.61  															| (14221) op(e0, e1) = all_0_69_69
% 46.18/15.61  															|
% 46.18/15.61  															| Instantiating formula (262) with e4, e1, all_0_70_70, e3 and discharging atoms op(e4, e1) = all_0_70_70, op(e4, e1) = e3, yields:
% 46.18/15.61  															| (32216) all_0_70_70 = e3
% 46.18/15.61  															|
% 46.18/15.61  															| Instantiating formula (262) with e3, e4, all_0_43_43, e1 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = e1, yields:
% 46.18/15.61  															| (12276) all_0_43_43 = e1
% 46.18/15.61  															|
% 46.18/15.61  															| Instantiating formula (262) with e3, e4, all_0_72_72, all_0_43_43 and discharging atoms op(e3, e4) = all_0_43_43, op(e3, e4) = all_0_72_72, yields:
% 46.18/15.61  															| (13899) all_0_43_43 = all_0_72_72
% 46.18/15.61  															|
% 46.18/15.61  															| Instantiating formula (262) with e0, e4, all_0_71_71, e2 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e2, yields:
% 46.18/15.61  															| (2601) all_0_71_71 = e2
% 46.18/15.61  															|
% 46.18/15.61  															| Instantiating formula (262) with e0, e1, all_0_69_69, e4 and discharging atoms op(e0, e1) = all_0_69_69, op(e0, e1) = e4, yields:
% 46.18/15.61  															| (1376) all_0_69_69 = e4
% 46.18/15.61  															|
% 46.18/15.61  															| Combining equations (12276,13899) yields a new equation:
% 46.18/15.61  															| (845) all_0_72_72 = e1
% 46.18/15.61  															|
% 46.18/15.61  															| Combining equations (845,13899) yields a new equation:
% 46.18/15.61  															| (12276) all_0_43_43 = e1
% 46.18/15.61  															|
% 46.18/15.61  															| From (32216) and (32214) follows:
% 46.18/15.61  															| (30622) op(e4, e1) = e3
% 46.18/15.61  															|
% 46.18/15.61  															| From (2601) and (2742) follows:
% 46.18/15.61  															| (30539) op(e0, e4) = e2
% 46.18/15.62  															|
% 46.18/15.62  															| From (1376) and (14221) follows:
% 46.18/15.62  															| (20306) op(e0, e1) = e4
% 46.18/15.62  															|
% 46.18/15.62  															+-Applying beta-rule and splitting (47), into two cases.
% 46.18/15.62  															|-Branch one:
% 46.18/15.62  															| (370) all_0_88_88 = e2
% 46.18/15.62  															|
% 46.18/15.62  																| Equations (370) can reduce 80 to:
% 46.18/15.62  																| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Equations (370) can reduce 286 to:
% 46.18/15.62  																| (299)  ~ (all_0_93_93 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Simplifying 299 yields:
% 46.18/15.62  																| (300)  ~ (all_0_93_93 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Equations (370) can reduce 31 to:
% 46.18/15.62  																| (1348)  ~ (all_0_98_98 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Simplifying 1348 yields:
% 46.18/15.62  																| (1349)  ~ (all_0_98_98 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Equations (370) can reduce 93 to:
% 46.18/15.62  																| (528)  ~ (e4 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Simplifying 528 yields:
% 46.18/15.62  																| (79)  ~ (e4 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Equations (370) can reduce 191 to:
% 46.18/15.62  																| (356)  ~ (e3 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Simplifying 356 yields:
% 46.18/15.62  																| (169)  ~ (e3 = e2)
% 46.18/15.62  																|
% 46.18/15.62  																| Equations (370) can reduce 479 to:
% 46.18/15.62  																| (243)  ~ (e2 = e1)
% 46.18/15.62  																|
% 46.18/15.62  																| From (370) and (230) follows:
% 46.18/15.62  																| (18818) op(e2, e0) = e2
% 46.18/15.62  																|
% 46.18/15.62  																+-Applying beta-rule and splitting (142), into two cases.
% 46.18/15.62  																|-Branch one:
% 46.18/15.62  																| (345) all_0_86_86 = e2
% 46.18/15.62  																|
% 46.18/15.62  																	| Equations (345) can reduce 9507 to:
% 46.18/15.62  																	| (311) $false
% 46.18/15.62  																	|
% 46.18/15.62  																	|-The branch is then unsatisfiable
% 46.18/15.62  																|-Branch two:
% 46.18/15.62  																| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.62  																| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 46.18/15.62  																|
% 46.18/15.62  																	+-Applying beta-rule and splitting (42), into two cases.
% 46.18/15.62  																	|-Branch one:
% 46.18/15.62  																	| (384) all_0_86_86 = e1
% 46.18/15.62  																	|
% 46.18/15.62  																		| Equations (384) can reduce 81 to:
% 46.18/15.62  																		| (198)  ~ (all_0_82_82 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Equations (384) can reduce 139 to:
% 46.18/15.62  																		| (677)  ~ (all_0_90_90 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Simplifying 677 yields:
% 46.18/15.62  																		| (678)  ~ (all_0_90_90 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Equations (384) can reduce 91 to:
% 46.18/15.62  																		| (679)  ~ (all_0_95_95 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Simplifying 679 yields:
% 46.18/15.62  																		| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Equations (384) can reduce 241 to:
% 46.18/15.62  																		| (681)  ~ (e4 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		| Simplifying 681 yields:
% 46.18/15.62  																		| (256)  ~ (e4 = e1)
% 46.18/15.62  																		|
% 46.18/15.62  																		+-Applying beta-rule and splitting (237), into two cases.
% 46.18/15.62  																		|-Branch one:
% 46.18/15.62  																		| (378) all_0_86_86 = e0
% 46.18/15.62  																		|
% 46.18/15.62  																			| Combining equations (384,378) yields a new equation:
% 46.18/15.62  																			| (1107) e1 = e0
% 46.18/15.62  																			|
% 46.18/15.62  																			| Simplifying 1107 yields:
% 46.18/15.62  																			| (865) e1 = e0
% 46.18/15.62  																			|
% 46.18/15.62  																			| Equations (865) can reduce 264 to:
% 46.18/15.62  																			| (311) $false
% 46.18/15.62  																			|
% 46.18/15.62  																			|-The branch is then unsatisfiable
% 46.18/15.62  																		|-Branch two:
% 46.18/15.62  																		| (381)  ~ (all_0_86_86 = e0)
% 46.18/15.62  																		| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 46.18/15.62  																		|
% 46.18/15.62  																			+-Applying beta-rule and splitting (176), into two cases.
% 46.18/15.62  																			|-Branch one:
% 46.18/15.62  																			| (785) all_0_95_95 = e1
% 46.18/15.62  																			|
% 46.18/15.62  																				| Equations (785) can reduce 680 to:
% 46.18/15.62  																				| (311) $false
% 46.18/15.62  																				|
% 46.18/15.62  																				|-The branch is then unsatisfiable
% 46.18/15.62  																			|-Branch two:
% 46.18/15.62  																			| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.62  																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.18/15.62  																			|
% 46.18/15.62  																				+-Applying beta-rule and splitting (788), into two cases.
% 46.18/15.62  																				|-Branch one:
% 46.18/15.62  																				| (960) all_0_96_96 = e1
% 46.18/15.62  																				|
% 46.18/15.62  																					| Equations (960) can reduce 64 to:
% 46.18/15.62  																					| (959)  ~ (all_0_91_91 = e1)
% 46.18/15.62  																					|
% 46.18/15.62  																					| Equations (960) can reduce 279 to:
% 46.18/15.62  																					| (680)  ~ (all_0_95_95 = e1)
% 46.18/15.62  																					|
% 46.18/15.62  																					| From (960) and (268) follows:
% 46.18/15.62  																					| (19923) op(e0, e1) = all_0_59_59
% 46.18/15.62  																					|
% 46.18/15.62  																					| From (960) and (59) follows:
% 46.18/15.62  																					| (32002) op(e0, e2) = e1
% 46.18/15.62  																					|
% 46.18/15.62  																					+-Applying beta-rule and splitting (132), into two cases.
% 46.18/15.62  																					|-Branch one:
% 46.18/15.62  																					| (750) all_0_90_90 = e1
% 46.18/15.62  																					|
% 46.18/15.62  																						| Equations (750) can reduce 678 to:
% 46.18/15.62  																						| (311) $false
% 46.18/15.62  																						|
% 46.18/15.62  																						|-The branch is then unsatisfiable
% 46.18/15.62  																					|-Branch two:
% 46.18/15.62  																					| (678)  ~ (all_0_90_90 = e1)
% 46.18/15.62  																					| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.18/15.62  																					|
% 46.18/15.62  																						+-Applying beta-rule and splitting (1526), into two cases.
% 46.18/15.62  																						|-Branch one:
% 46.18/15.62  																						| (801) all_0_91_91 = e1
% 46.18/15.62  																						|
% 46.18/15.62  																							| Equations (801) can reduce 959 to:
% 46.18/15.62  																							| (311) $false
% 46.18/15.62  																							|
% 46.18/15.62  																							|-The branch is then unsatisfiable
% 46.18/15.62  																						|-Branch two:
% 46.18/15.62  																						| (959)  ~ (all_0_91_91 = e1)
% 46.18/15.62  																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.18/15.62  																						|
% 46.18/15.62  																							+-Applying beta-rule and splitting (1556), into two cases.
% 46.18/15.62  																							|-Branch one:
% 46.18/15.62  																							| (836) all_0_92_92 = e1
% 46.18/15.62  																							|
% 46.18/15.62  																								| Equations (836) can reduce 87 to:
% 46.18/15.62  																								| (259)  ~ (all_0_84_84 = e1)
% 46.18/15.62  																								|
% 46.18/15.62  																								| Equations (836) can reduce 94 to:
% 46.18/15.62  																								| (625)  ~ (all_0_87_87 = e1)
% 46.18/15.62  																								|
% 46.18/15.62  																								| Equations (836) can reduce 265 to:
% 46.18/15.62  																								| (959)  ~ (all_0_91_91 = e1)
% 46.18/15.62  																								|
% 46.18/15.62  																								| Equations (836) can reduce 283 to:
% 46.18/15.62  																								| (480)  ~ (all_0_93_93 = e1)
% 46.18/15.62  																								|
% 46.18/15.62  																								| Simplifying 480 yields:
% 46.18/15.62  																								| (481)  ~ (all_0_93_93 = e1)
% 46.18/15.62  																								|
% 46.18/15.62  																								+-Applying beta-rule and splitting (382), into two cases.
% 46.18/15.62  																								|-Branch one:
% 46.18/15.62  																								| (861) all_0_87_87 = e0
% 46.18/15.62  																								|
% 46.18/15.62  																									| Equations (861) can reduce 124 to:
% 46.18/15.62  																									| (919)  ~ (all_0_84_84 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Equations (861) can reduce 216 to:
% 46.18/15.62  																									| (904)  ~ (e4 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Simplifying 904 yields:
% 46.18/15.62  																									| (23)  ~ (e4 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Equations (861) can reduce 227 to:
% 46.18/15.62  																									| (906)  ~ (e3 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Simplifying 906 yields:
% 46.18/15.62  																									| (50)  ~ (e3 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Equations (861) can reduce 625 to:
% 46.18/15.62  																									| (859)  ~ (e1 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| Simplifying 859 yields:
% 46.18/15.62  																									| (264)  ~ (e1 = e0)
% 46.18/15.62  																									|
% 46.18/15.62  																									| From (861) and (16) follows:
% 46.18/15.62  																									| (3518) op(e1, e0) = all_0_64_64
% 46.18/15.62  																									|
% 46.18/15.62  																									+-Applying beta-rule and splitting (92), into two cases.
% 46.18/15.62  																									|-Branch one:
% 46.18/15.62  																									| (552) all_0_84_84 = e2
% 46.18/15.62  																									|
% 46.18/15.62  																										| Equations (552) can reduce 7 to:
% 46.18/15.62  																										| (347)  ~ (all_0_82_82 = e2)
% 46.18/15.62  																										|
% 46.18/15.62  																										| Equations (552) can reduce 223 to:
% 46.18/15.62  																										| (398)  ~ (all_0_83_83 = e2)
% 46.18/15.62  																										|
% 46.18/15.62  																										| Equations (552) can reduce 417 to:
% 46.18/15.62  																										| (528)  ~ (e4 = e2)
% 46.18/15.62  																										|
% 46.18/15.62  																										| Simplifying 528 yields:
% 46.18/15.62  																										| (79)  ~ (e4 = e2)
% 46.18/15.62  																										|
% 46.18/15.62  																										| Equations (552) can reduce 259 to:
% 46.18/15.62  																										| (243)  ~ (e2 = e1)
% 46.18/15.62  																										|
% 46.18/15.62  																										| Equations (552) can reduce 919 to:
% 46.18/15.62  																										| (76)  ~ (e2 = e0)
% 46.18/15.62  																										|
% 46.18/15.62  																										| From (552) and (150) follows:
% 46.18/15.62  																										| (22965) op(e3, e2) = all_0_63_63
% 46.18/15.62  																										|
% 46.18/15.62  																										| From (552) and (122) follows:
% 46.18/15.62  																										| (555) op(e1, e2) = all_0_62_62
% 46.18/15.62  																										|
% 46.18/15.62  																										+-Applying beta-rule and splitting (246), into two cases.
% 46.18/15.62  																										|-Branch one:
% 46.18/15.62  																										| (400) all_0_78_78 = e2
% 46.18/15.62  																										|
% 46.18/15.62  																											| Combining equations (400,463) yields a new equation:
% 46.18/15.62  																											| (310) e4 = e2
% 46.18/15.62  																											|
% 46.18/15.62  																											| Equations (310) can reduce 79 to:
% 46.18/15.62  																											| (311) $false
% 46.18/15.62  																											|
% 46.18/15.62  																											|-The branch is then unsatisfiable
% 46.18/15.62  																										|-Branch two:
% 46.18/15.62  																										| (346)  ~ (all_0_78_78 = e2)
% 46.18/15.62  																										| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.62  																										|
% 46.18/15.62  																											+-Applying beta-rule and splitting (13415), into two cases.
% 46.18/15.62  																											|-Branch one:
% 46.18/15.62  																											| (530) all_0_82_82 = e2
% 46.18/15.62  																											|
% 46.18/15.62  																												| Equations (530) can reduce 347 to:
% 46.18/15.62  																												| (311) $false
% 46.18/15.62  																												|
% 46.18/15.62  																												|-The branch is then unsatisfiable
% 46.18/15.62  																											|-Branch two:
% 46.18/15.62  																											| (347)  ~ (all_0_82_82 = e2)
% 46.18/15.62  																											| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.62  																											|
% 46.18/15.62  																												+-Applying beta-rule and splitting (13419), into two cases.
% 46.18/15.62  																												|-Branch one:
% 46.18/15.62  																												| (345) all_0_86_86 = e2
% 46.18/15.62  																												|
% 46.18/15.62  																													| Combining equations (384,345) yields a new equation:
% 46.18/15.62  																													| (385) e2 = e1
% 46.18/15.62  																													|
% 46.18/15.62  																													| Equations (385) can reduce 243 to:
% 46.18/15.62  																													| (311) $false
% 46.18/15.62  																													|
% 46.18/15.62  																													|-The branch is then unsatisfiable
% 46.18/15.62  																												|-Branch two:
% 46.18/15.62  																												| (9507)  ~ (all_0_86_86 = e2)
% 46.18/15.63  																												| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 46.18/15.63  																												|
% 46.18/15.63  																													+-Applying beta-rule and splitting (13424), into two cases.
% 46.18/15.63  																													|-Branch one:
% 46.18/15.63  																													| (746) all_0_90_90 = e2
% 46.18/15.63  																													|
% 46.18/15.63  																														| Combining equations (746,451) yields a new equation:
% 46.18/15.63  																														| (4076) all_0_60_60 = e2
% 46.18/15.63  																														|
% 46.18/15.63  																														| Equations (746) can reduce 34 to:
% 46.18/15.63  																														| (299)  ~ (all_0_93_93 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| Simplifying 299 yields:
% 46.18/15.63  																														| (300)  ~ (all_0_93_93 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| Equations (746) can reduce 229 to:
% 46.18/15.63  																														| (354)  ~ (all_0_95_95 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| Simplifying 354 yields:
% 46.18/15.63  																														| (355)  ~ (all_0_95_95 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| Equations (746) can reduce 467 to:
% 46.18/15.63  																														| (528)  ~ (e4 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| Simplifying 528 yields:
% 46.18/15.63  																														| (79)  ~ (e4 = e2)
% 46.18/15.63  																														|
% 46.18/15.63  																														| From (746) and (217) follows:
% 46.18/15.63  																														| (31908) op(e3, e2) = all_0_48_48
% 46.18/15.63  																														|
% 46.18/15.63  																														| From (746) and (35) follows:
% 46.18/15.63  																														| (32320) op(e1, e2) = all_0_49_49
% 46.18/15.63  																														|
% 46.18/15.63  																														| From (746) and (218) follows:
% 46.18/15.63  																														| (32321) op(e1, e3) = e2
% 46.18/15.63  																														|
% 46.18/15.63  																														| Instantiating formula (262) with e3, e2, all_0_48_48, all_0_83_83 and discharging atoms op(e3, e2) = all_0_48_48, op(e3, e2) = all_0_83_83, yields:
% 46.27/15.63  																														| (31910) all_0_48_48 = all_0_83_83
% 46.27/15.63  																														|
% 46.27/15.63  																														| Instantiating formula (262) with e3, e2, all_0_63_63, all_0_48_48 and discharging atoms op(e3, e2) = all_0_48_48, op(e3, e2) = all_0_63_63, yields:
% 46.27/15.63  																														| (10504) all_0_48_48 = all_0_63_63
% 46.27/15.63  																														|
% 46.27/15.63  																														| Instantiating formula (262) with e1, e2, all_0_49_49, all_0_91_91 and discharging atoms op(e1, e2) = all_0_49_49, op(e1, e2) = all_0_91_91, yields:
% 46.27/15.63  																														| (32324) all_0_49_49 = all_0_91_91
% 46.27/15.63  																														|
% 46.27/15.63  																														| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_49_49 and discharging atoms op(e1, e2) = all_0_49_49, op(e1, e2) = all_0_62_62, yields:
% 46.27/15.63  																														| (10506) all_0_49_49 = all_0_62_62
% 46.27/15.63  																														|
% 46.27/15.63  																														| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_93_93 and discharging atoms op(e1, e0) = all_0_64_64, op(e1, e0) = all_0_93_93, yields:
% 46.27/15.63  																														| (8320) all_0_64_64 = all_0_93_93
% 46.27/15.63  																														|
% 46.27/15.63  																														| Instantiating formula (262) with e0, e1, all_0_59_59, e4 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = e4, yields:
% 46.27/15.63  																														| (20342) all_0_59_59 = e4
% 46.27/15.63  																														|
% 46.27/15.63  																														| Combining equations (31910,10504) yields a new equation:
% 46.27/15.63  																														| (32328) all_0_63_63 = all_0_83_83
% 46.27/15.63  																														|
% 46.27/15.64  																														| Combining equations (32324,10506) yields a new equation:
% 46.27/15.64  																														| (574) all_0_62_62 = all_0_91_91
% 46.27/15.64  																														|
% 46.27/15.64  																														| From (32328) and (22965) follows:
% 46.27/15.64  																														| (174) op(e3, e2) = all_0_83_83
% 46.27/15.64  																														|
% 46.27/15.64  																														| From (574) and (555) follows:
% 46.27/15.64  																														| (3) op(e1, e2) = all_0_91_91
% 46.27/15.64  																														|
% 46.27/15.64  																														| From (20342) and (19923) follows:
% 46.27/15.64  																														| (20306) op(e0, e1) = e4
% 46.27/15.64  																														|
% 46.27/15.64  																														+-Applying beta-rule and splitting (276), into two cases.
% 46.27/15.64  																														|-Branch one:
% 46.27/15.64  																														| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.27/15.64  																														|
% 46.27/15.64  																															+-Applying beta-rule and splitting (577), into two cases.
% 46.27/15.64  																															|-Branch one:
% 46.27/15.64  																															| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.27/15.64  																															|
% 46.27/15.64  																																+-Applying beta-rule and splitting (578), into two cases.
% 46.27/15.64  																																|-Branch one:
% 46.27/15.64  																																| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.27/15.64  																																|
% 46.27/15.64  																																	| Applying alpha-rule on (579) yields:
% 46.27/15.64  																																	| (580) all_0_60_60 = e4
% 46.27/15.64  																																	| (581)  ~ (all_0_61_61 = e1)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Combining equations (4076,580) yields a new equation:
% 46.27/15.64  																																	| (310) e4 = e2
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (310) can reduce 79 to:
% 46.27/15.64  																																	| (311) $false
% 46.27/15.64  																																	|
% 46.27/15.64  																																	|-The branch is then unsatisfiable
% 46.27/15.64  																																|-Branch two:
% 46.27/15.64  																																| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.27/15.64  																																|
% 46.27/15.64  																																	| Applying alpha-rule on (585) yields:
% 46.27/15.64  																																	| (586) all_0_62_62 = e3
% 46.27/15.64  																																	| (587)  ~ (all_0_63_63 = e1)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Combining equations (574,586) yields a new equation:
% 46.27/15.64  																																	| (24865) all_0_91_91 = e3
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Simplifying 24865 yields:
% 46.27/15.64  																																	| (588) all_0_91_91 = e3
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (32328) can reduce 587 to:
% 46.27/15.64  																																	| (113)  ~ (all_0_83_83 = e1)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (588) can reduce 146 to:
% 46.27/15.64  																																	| (779)  ~ (all_0_83_83 = e3)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (588) can reduce 44 to:
% 46.27/15.64  																																	| (807)  ~ (all_0_93_93 = e3)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Simplifying 807 yields:
% 46.27/15.64  																																	| (602)  ~ (all_0_93_93 = e3)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (588) can reduce 133 to:
% 46.27/15.64  																																	| (783)  ~ (e4 = e3)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Simplifying 783 yields:
% 46.27/15.64  																																	| (177)  ~ (e4 = e3)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| Equations (588) can reduce 959 to:
% 46.27/15.64  																																	| (20)  ~ (e3 = e1)
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| From (588) and (51) follows:
% 46.27/15.64  																																	| (15066) op(e1, e3) = all_0_57_57
% 46.27/15.64  																																	|
% 46.27/15.64  																																	| From (588) and (3) follows:
% 46.27/15.64  																																	| (22909) op(e1, e2) = e3
% 46.27/15.64  																																	|
% 46.27/15.64  																																	+-Applying beta-rule and splitting (219), into two cases.
% 46.27/15.64  																																	|-Branch one:
% 46.27/15.64  																																	| (798) all_0_83_83 = e0
% 46.27/15.64  																																	|
% 46.27/15.64  																																		| Equations (798) can reduce 116 to:
% 46.27/15.64  																																		| (914)  ~ (all_0_82_82 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Equations (798) can reduce 779 to:
% 46.27/15.64  																																		| (906)  ~ (e3 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Simplifying 906 yields:
% 46.27/15.64  																																		| (50)  ~ (e3 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Equations (798) can reduce 398 to:
% 46.27/15.64  																																		| (510)  ~ (e2 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Simplifying 510 yields:
% 46.27/15.64  																																		| (76)  ~ (e2 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Equations (798) can reduce 113 to:
% 46.27/15.64  																																		| (859)  ~ (e1 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| Simplifying 859 yields:
% 46.27/15.64  																																		| (264)  ~ (e1 = e0)
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| From (798) and (163) follows:
% 46.27/15.64  																																		| (1036) op(e3, e0) = all_0_55_55
% 46.27/15.64  																																		|
% 46.27/15.64  																																		| From (798) and (174) follows:
% 46.27/15.64  																																		| (22884) op(e3, e2) = e0
% 46.27/15.64  																																		|
% 46.27/15.64  																																		+-Applying beta-rule and splitting (291), into two cases.
% 46.27/15.64  																																		|-Branch one:
% 46.27/15.64  																																		| (758) all_0_90_90 = e0
% 46.27/15.64  																																		|
% 46.27/15.64  																																			| Combining equations (746,758) yields a new equation:
% 46.27/15.64  																																			| (923) e2 = e0
% 46.27/15.64  																																			|
% 46.27/15.64  																																			| Simplifying 923 yields:
% 46.27/15.64  																																			| (379) e2 = e0
% 46.27/15.64  																																			|
% 46.27/15.64  																																			| Equations (379) can reduce 76 to:
% 46.27/15.64  																																			| (311) $false
% 46.27/15.64  																																			|
% 46.27/15.64  																																			|-The branch is then unsatisfiable
% 46.27/15.64  																																		|-Branch two:
% 46.27/15.64  																																		| (762)  ~ (all_0_90_90 = e0)
% 46.27/15.64  																																		| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.27/15.64  																																		|
% 46.27/15.64  																																			+-Applying beta-rule and splitting (171), into two cases.
% 46.27/15.64  																																			|-Branch one:
% 46.27/15.64  																																			| (789) all_0_82_82 = e3
% 46.27/15.64  																																			|
% 46.27/15.64  																																				| Equations (789) can reduce 465 to:
% 46.27/15.64  																																				| (783)  ~ (e4 = e3)
% 46.27/15.64  																																				|
% 46.27/15.64  																																				| Simplifying 783 yields:
% 46.27/15.64  																																				| (177)  ~ (e4 = e3)
% 46.27/15.64  																																				|
% 46.27/15.64  																																				| Equations (789) can reduce 198 to:
% 46.27/15.64  																																				| (20)  ~ (e3 = e1)
% 46.27/15.64  																																				|
% 46.27/15.64  																																				| Equations (789) can reduce 914 to:
% 46.27/15.64  																																				| (50)  ~ (e3 = e0)
% 46.27/15.64  																																				|
% 46.27/15.64  																																				+-Applying beta-rule and splitting (250), into two cases.
% 46.27/15.64  																																				|-Branch one:
% 46.27/15.64  																																				| (635) all_0_81_81 = e3
% 46.27/15.64  																																				|
% 46.27/15.64  																																					| Combining equations (477,635) yields a new equation:
% 46.27/15.64  																																					| (772) e3 = e1
% 46.27/15.64  																																					|
% 46.27/15.64  																																					| Equations (772) can reduce 20 to:
% 46.27/15.64  																																					| (311) $false
% 46.27/15.64  																																					|
% 46.27/15.64  																																					|-The branch is then unsatisfiable
% 46.27/15.64  																																				|-Branch two:
% 46.27/15.64  																																				| (420)  ~ (all_0_81_81 = e3)
% 46.27/15.64  																																				| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.27/15.64  																																				|
% 46.27/15.64  																																					+-Applying beta-rule and splitting (99), into two cases.
% 46.27/15.64  																																					|-Branch one:
% 46.27/15.64  																																					| (767) all_0_95_95 = e2
% 46.27/15.64  																																					|
% 46.27/15.65  																																						| Equations (767) can reduce 355 to:
% 46.27/15.65  																																						| (311) $false
% 46.27/15.65  																																						|
% 46.27/15.65  																																						|-The branch is then unsatisfiable
% 46.27/15.65  																																					|-Branch two:
% 46.27/15.65  																																					| (355)  ~ (all_0_95_95 = e2)
% 46.27/15.65  																																					| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.27/15.65  																																					|
% 46.27/15.65  																																						+-Applying beta-rule and splitting (1455), into two cases.
% 46.27/15.65  																																						|-Branch one:
% 46.27/15.65  																																						| (1456) all_0_91_91 = e0
% 46.27/15.65  																																						|
% 46.27/15.65  																																							| Combining equations (588,1456) yields a new equation:
% 46.27/15.65  																																							| (599) e3 = e0
% 46.27/15.65  																																							|
% 46.27/15.65  																																							| Simplifying 599 yields:
% 46.27/15.65  																																							| (600) e3 = e0
% 46.27/15.65  																																							|
% 46.27/15.65  																																							| Equations (600) can reduce 50 to:
% 46.27/15.65  																																							| (311) $false
% 46.27/15.65  																																							|
% 46.27/15.65  																																							|-The branch is then unsatisfiable
% 46.27/15.65  																																						|-Branch two:
% 46.27/15.65  																																						| (1487)  ~ (all_0_91_91 = e0)
% 46.27/15.65  																																						| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.27/15.65  																																						|
% 46.27/15.65  																																							+-Applying beta-rule and splitting (4488), into two cases.
% 46.27/15.65  																																							|-Branch one:
% 46.27/15.65  																																							| (804) all_0_85_85 = e3
% 46.27/15.65  																																							|
% 46.27/15.65  																																								| Combining equations (493,804) yields a new equation:
% 46.27/15.65  																																								| (790) e4 = e3
% 46.27/15.65  																																								|
% 46.27/15.65  																																								| Simplifying 790 yields:
% 46.27/15.65  																																								| (434) e4 = e3
% 46.27/15.65  																																								|
% 46.27/15.65  																																								| Equations (434) can reduce 177 to:
% 46.27/15.65  																																								| (311) $false
% 46.27/15.65  																																								|
% 46.27/15.65  																																								|-The branch is then unsatisfiable
% 46.27/15.65  																																							|-Branch two:
% 46.27/15.65  																																							| (952)  ~ (all_0_85_85 = e3)
% 46.27/15.65  																																							| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.27/15.65  																																							|
% 46.27/15.65  																																								+-Applying beta-rule and splitting (770), into two cases.
% 46.27/15.65  																																								|-Branch one:
% 46.27/15.65  																																								| (785) all_0_95_95 = e1
% 46.27/15.65  																																								|
% 46.27/15.65  																																									| Equations (785) can reduce 680 to:
% 46.27/15.65  																																									| (311) $false
% 46.27/15.65  																																									|
% 46.27/15.65  																																									|-The branch is then unsatisfiable
% 46.27/15.65  																																								|-Branch two:
% 46.27/15.65  																																								| (680)  ~ (all_0_95_95 = e1)
% 46.27/15.65  																																								| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.27/15.65  																																								|
% 46.27/15.65  																																									+-Applying beta-rule and splitting (4559), into two cases.
% 46.27/15.65  																																									|-Branch one:
% 46.27/15.65  																																									| (570) all_0_93_93 = e3
% 46.27/15.65  																																									|
% 46.27/15.65  																																										| Equations (570) can reduce 602 to:
% 46.27/15.65  																																										| (311) $false
% 46.27/15.65  																																										|
% 46.27/15.65  																																										|-The branch is then unsatisfiable
% 46.27/15.65  																																									|-Branch two:
% 46.27/15.65  																																									| (602)  ~ (all_0_93_93 = e3)
% 46.27/15.65  																																									| (969) all_0_98_98 = e3
% 46.27/15.65  																																									|
% 46.27/15.65  																																										| Equations (969) can reduce 13 to:
% 46.27/15.65  																																										| (602)  ~ (all_0_93_93 = e3)
% 46.27/15.65  																																										|
% 46.27/15.65  																																										| From (969) and (38) follows:
% 46.27/15.65  																																										| (9794) op(e0, e0) = e3
% 46.27/15.65  																																										|
% 46.27/15.65  																																										+-Applying beta-rule and splitting (102), into two cases.
% 46.27/15.65  																																										|-Branch one:
% 46.27/15.65  																																										| (858) all_0_95_95 = e0
% 46.27/15.65  																																										|
% 46.27/15.65  																																											| Equations (858) can reduce 680 to:
% 46.27/15.65  																																											| (859)  ~ (e1 = e0)
% 46.27/15.65  																																											|
% 46.27/15.65  																																											| Simplifying 859 yields:
% 46.27/15.65  																																											| (264)  ~ (e1 = e0)
% 46.27/15.65  																																											|
% 46.27/15.65  																																											| From (858) and (121) follows:
% 46.27/15.65  																																											| (32409) op(e3, e0) = all_0_50_50
% 46.27/15.65  																																											|
% 46.27/15.65  																																											| From (858) and (280) follows:
% 46.27/15.65  																																											| (31433) op(e0, e0) = all_0_51_51
% 46.27/15.65  																																											|
% 46.27/15.65  																																											+-Applying beta-rule and splitting (65), into two cases.
% 46.27/15.65  																																											|-Branch one:
% 46.27/15.65  																																											| (522) all_0_93_93 = e2
% 46.27/15.65  																																											|
% 46.27/15.65  																																												| Equations (522) can reduce 300 to:
% 46.27/15.65  																																												| (311) $false
% 46.27/15.65  																																												|
% 46.27/15.65  																																												|-The branch is then unsatisfiable
% 46.27/15.65  																																											|-Branch two:
% 46.27/15.65  																																											| (300)  ~ (all_0_93_93 = e2)
% 46.27/15.65  																																											| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 46.27/15.65  																																											|
% 46.27/15.65  																																												+-Applying beta-rule and splitting (1488), into two cases.
% 46.27/15.65  																																												|-Branch one:
% 46.27/15.65  																																												| (942) all_0_92_92 = e0
% 46.27/15.65  																																												|
% 46.27/15.65  																																													| Combining equations (836,942) yields a new equation:
% 46.27/15.65  																																													| (1107) e1 = e0
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Simplifying 1107 yields:
% 46.27/15.65  																																													| (865) e1 = e0
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Equations (865) can reduce 264 to:
% 46.27/15.65  																																													| (311) $false
% 46.27/15.65  																																													|
% 46.27/15.65  																																													|-The branch is then unsatisfiable
% 46.27/15.65  																																												|-Branch two:
% 46.27/15.65  																																												| (946)  ~ (all_0_92_92 = e0)
% 46.27/15.65  																																												| (604) all_0_93_93 = e0
% 46.27/15.65  																																												|
% 46.27/15.65  																																													| Equations (604) can reduce 300 to:
% 46.27/15.65  																																													| (510)  ~ (e2 = e0)
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Simplifying 510 yields:
% 46.27/15.65  																																													| (76)  ~ (e2 = e0)
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Equations (604) can reduce 481 to:
% 46.27/15.65  																																													| (859)  ~ (e1 = e0)
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Simplifying 859 yields:
% 46.27/15.65  																																													| (264)  ~ (e1 = e0)
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Instantiating formula (262) with e3, e0, all_0_50_50, e4 and discharging atoms op(e3, e0) = all_0_50_50, op(e3, e0) = e4, yields:
% 46.27/15.65  																																													| (10303) all_0_50_50 = e4
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_50_50 and discharging atoms op(e3, e0) = all_0_50_50, op(e3, e0) = all_0_55_55, yields:
% 46.27/15.65  																																													| (13436) all_0_50_50 = all_0_55_55
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Instantiating formula (262) with e1, e3, all_0_57_57, e2 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = e2, yields:
% 46.27/15.65  																																													| (32427) all_0_57_57 = e2
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Instantiating formula (262) with e0, e0, e3, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = e3, yields:
% 46.27/15.65  																																													| (1551) all_0_51_51 = e3
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Combining equations (13436,10303) yields a new equation:
% 46.27/15.65  																																													| (32429) all_0_55_55 = e4
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| Simplifying 32429 yields:
% 46.27/15.65  																																													| (32430) all_0_55_55 = e4
% 46.27/15.65  																																													|
% 46.27/15.65  																																													| From (32430) and (1036) follows:
% 46.27/15.66  																																													| (4406) op(e3, e0) = e4
% 46.27/15.66  																																													|
% 46.27/15.66  																																													| From (32427) and (15066) follows:
% 46.27/15.66  																																													| (32321) op(e1, e3) = e2
% 46.27/15.66  																																													|
% 46.27/15.66  																																													| From (1551) and (31433) follows:
% 46.27/15.66  																																													| (9794) op(e0, e0) = e3
% 46.27/15.66  																																													|
% 46.27/15.66  																																													+-Applying beta-rule and splitting (196), into two cases.
% 46.27/15.66  																																													|-Branch one:
% 46.27/15.66  																																													| (4725) unit = e2
% 46.27/15.66  																																													|
% 46.27/15.66  																																														| From (4725) and (271) follows:
% 46.27/15.66  																																														| (12240) op(e3, e2) = e3
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| From (4725) and (160) follows:
% 46.27/15.66  																																														| (18983) op(e1, e2) = e1
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| Instantiating formula (262) with e3, e2, e3, e0 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e0, yields:
% 46.27/15.66  																																														| (600) e3 = e0
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| Instantiating formula (262) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 46.27/15.66  																																														| (772) e3 = e1
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| Combining equations (772,600) yields a new equation:
% 46.27/15.66  																																														| (1107) e1 = e0
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| Simplifying 1107 yields:
% 46.27/15.66  																																														| (865) e1 = e0
% 46.27/15.66  																																														|
% 46.27/15.66  																																														| Equations (865) can reduce 264 to:
% 46.27/15.66  																																														| (311) $false
% 46.27/15.66  																																														|
% 46.27/15.66  																																														|-The branch is then unsatisfiable
% 46.27/15.66  																																													|-Branch two:
% 46.27/15.66  																																													| (4740)  ~ (unit = e2)
% 46.27/15.66  																																													| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 46.27/15.66  																																													|
% 46.27/15.66  																																														+-Applying beta-rule and splitting (4741), into two cases.
% 46.27/15.66  																																														|-Branch one:
% 46.27/15.66  																																														| (4742) unit = e1
% 46.27/15.66  																																														|
% 46.27/15.66  																																															| From (4742) and (242) follows:
% 46.27/15.66  																																															| (32445) op(e1, e2) = e2
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| From (4742) and (11) follows:
% 46.27/15.66  																																															| (29630) op(e4, e1) = e4
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| From (4742) and (57) follows:
% 46.27/15.66  																																															| (3169) op(e0, e1) = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Instantiating formula (262) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 46.27/15.66  																																															| (434) e4 = e3
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Instantiating formula (262) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields:
% 46.27/15.66  																																															| (548) e3 = e2
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Instantiating formula (262) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields:
% 46.27/15.66  																																															| (912) e4 = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Combining equations (434,912) yields a new equation:
% 46.27/15.66  																																															| (599) e3 = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Simplifying 599 yields:
% 46.27/15.66  																																															| (600) e3 = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Combining equations (600,548) yields a new equation:
% 46.27/15.66  																																															| (379) e2 = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																															| Equations (379) can reduce 76 to:
% 46.27/15.66  																																															| (311) $false
% 46.27/15.66  																																															|
% 46.27/15.66  																																															|-The branch is then unsatisfiable
% 46.27/15.66  																																														|-Branch two:
% 46.27/15.66  																																														| (4754)  ~ (unit = e1)
% 46.27/15.66  																																														| (4755) unit = e4 | unit = e3 | unit = e0
% 46.27/15.66  																																														|
% 46.27/15.66  																																															+-Applying beta-rule and splitting (4755), into two cases.
% 46.27/15.66  																																															|-Branch one:
% 46.27/15.66  																																															| (4756) unit = e3
% 46.27/15.66  																																															|
% 46.27/15.66  																																																| From (4756) and (242) follows:
% 46.27/15.66  																																																| (13287) op(e3, e2) = e2
% 46.27/15.66  																																																|
% 46.27/15.66  																																																| From (4756) and (160) follows:
% 46.27/15.66  																																																| (3486) op(e1, e3) = e1
% 46.27/15.66  																																																|
% 46.27/15.66  																																																| Instantiating formula (262) with e3, e2, e2, e0 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e0, yields:
% 46.27/15.66  																																																| (379) e2 = e0
% 46.27/15.66  																																																|
% 46.27/15.66  																																																| Instantiating formula (262) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 46.27/15.66  																																																| (385) e2 = e1
% 46.27/15.66  																																																|
% 46.27/15.66  																																																| Combining equations (379,385) yields a new equation:
% 46.27/15.66  																																																| (865) e1 = e0
% 46.27/15.66  																																																|
% 46.27/15.66  																																																| Equations (865) can reduce 264 to:
% 46.27/15.66  																																																| (311) $false
% 46.27/15.66  																																																|
% 46.27/15.66  																																																|-The branch is then unsatisfiable
% 46.27/15.66  																																															|-Branch two:
% 46.27/15.66  																																															| (4768)  ~ (unit = e3)
% 46.27/15.66  																																															| (4769) unit = e4 | unit = e0
% 46.27/15.66  																																															|
% 46.27/15.66  																																																+-Applying beta-rule and splitting (4769), into two cases.
% 46.27/15.66  																																																|-Branch one:
% 46.27/15.66  																																																| (4770) unit = e0
% 46.27/15.66  																																																|
% 46.27/15.67  																																																	| Equations (4770) can reduce 4754 to:
% 46.27/15.67  																																																	| (859)  ~ (e1 = e0)
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Simplifying 859 yields:
% 46.27/15.67  																																																	| (264)  ~ (e1 = e0)
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4770) and (170) follows:
% 46.27/15.67  																																																	| (328) op(e0, e4) = e4
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4770) and (242) follows:
% 46.27/15.67  																																																	| (8077) op(e0, e2) = e2
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4770) and (271) follows:
% 46.27/15.67  																																																	| (1048) op(e3, e0) = e3
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4770) and (57) follows:
% 46.27/15.67  																																																	| (30046) op(e0, e0) = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 46.27/15.67  																																																	| (434) e4 = e3
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields:
% 46.27/15.67  																																																	| (310) e4 = e2
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields:
% 46.27/15.67  																																																	| (385) e2 = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields:
% 46.27/15.67  																																																	| (600) e3 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (310,434) yields a new equation:
% 46.27/15.67  																																																	| (548) e3 = e2
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (548,600) yields a new equation:
% 46.27/15.67  																																																	| (923) e2 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Simplifying 923 yields:
% 46.27/15.67  																																																	| (379) e2 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (379,385) yields a new equation:
% 46.27/15.67  																																																	| (865) e1 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Equations (865) can reduce 264 to:
% 46.27/15.67  																																																	| (311) $false
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	|-The branch is then unsatisfiable
% 46.27/15.67  																																																|-Branch two:
% 46.27/15.67  																																																| (4780)  ~ (unit = e0)
% 46.27/15.67  																																																| (4781) unit = e4
% 46.27/15.67  																																																|
% 46.27/15.67  																																																	| From (4781) and (203) follows:
% 46.27/15.67  																																																	| (3281) op(e4, e3) = e3
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4781) and (269) follows:
% 46.27/15.67  																																																	| (4784) op(e2, e4) = e2
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4781) and (160) follows:
% 46.27/15.67  																																																	| (32486) op(e1, e4) = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| From (4781) and (57) follows:
% 46.27/15.67  																																																	| (30057) op(e0, e4) = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 46.27/15.67  																																																	| (434) e4 = e3
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 46.27/15.67  																																																	| (548) e3 = e2
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 46.27/15.67  																																																	| (814) e4 = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Instantiating formula (262) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 46.27/15.67  																																																	| (379) e2 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (814,434) yields a new equation:
% 46.27/15.67  																																																	| (772) e3 = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (548,772) yields a new equation:
% 46.27/15.67  																																																	| (408) e2 = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Simplifying 408 yields:
% 46.27/15.67  																																																	| (385) e2 = e1
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Combining equations (385,379) yields a new equation:
% 46.27/15.67  																																																	| (1107) e1 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Simplifying 1107 yields:
% 46.27/15.67  																																																	| (865) e1 = e0
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	| Equations (865) can reduce 264 to:
% 46.27/15.67  																																																	| (311) $false
% 46.27/15.67  																																																	|
% 46.27/15.67  																																																	|-The branch is then unsatisfiable
% 46.27/15.67  																																										|-Branch two:
% 46.27/15.67  																																										| (893)  ~ (all_0_95_95 = e0)
% 46.27/15.67  																																										| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.27/15.67  																																										|
% 46.27/15.67  																																											+-Applying beta-rule and splitting (1488), into two cases.
% 46.27/15.67  																																											|-Branch one:
% 46.27/15.67  																																											| (942) all_0_92_92 = e0
% 46.27/15.67  																																											|
% 46.27/15.67  																																												| Combining equations (942,836) yields a new equation:
% 46.27/15.67  																																												| (865) e1 = e0
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Equations (865) can reduce 264 to:
% 46.27/15.67  																																												| (311) $false
% 46.27/15.67  																																												|
% 46.27/15.67  																																												|-The branch is then unsatisfiable
% 46.27/15.67  																																											|-Branch two:
% 46.27/15.67  																																											| (946)  ~ (all_0_92_92 = e0)
% 46.27/15.67  																																											| (604) all_0_93_93 = e0
% 46.27/15.67  																																											|
% 46.27/15.67  																																												| Equations (604) can reduce 496 to:
% 46.27/15.67  																																												| (904)  ~ (e4 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Simplifying 904 yields:
% 46.27/15.67  																																												| (23)  ~ (e4 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Equations (604) can reduce 602 to:
% 46.27/15.67  																																												| (906)  ~ (e3 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Simplifying 906 yields:
% 46.27/15.67  																																												| (50)  ~ (e3 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Equations (604) can reduce 481 to:
% 46.27/15.67  																																												| (859)  ~ (e1 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												| Simplifying 859 yields:
% 46.27/15.67  																																												| (264)  ~ (e1 = e0)
% 46.27/15.67  																																												|
% 46.27/15.67  																																												+-Applying beta-rule and splitting (1921), into two cases.
% 46.27/15.67  																																												|-Branch one:
% 46.27/15.67  																																												| (1837) all_0_96_96 = e0
% 46.27/15.67  																																												|
% 46.27/15.67  																																													| Combining equations (960,1837) yields a new equation:
% 46.27/15.67  																																													| (1107) e1 = e0
% 46.27/15.67  																																													|
% 46.27/15.67  																																													| Simplifying 1107 yields:
% 46.27/15.67  																																													| (865) e1 = e0
% 46.27/15.67  																																													|
% 46.27/15.67  																																													| Equations (865) can reduce 264 to:
% 46.27/15.67  																																													| (311) $false
% 46.27/15.67  																																													|
% 46.27/15.67  																																													|-The branch is then unsatisfiable
% 46.27/15.67  																																												|-Branch two:
% 46.27/15.67  																																												| (2095)  ~ (all_0_96_96 = e0)
% 46.27/15.67  																																												| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.27/15.67  																																												|
% 46.27/15.67  																																													+-Applying beta-rule and splitting (2096), into two cases.
% 46.27/15.67  																																													|-Branch one:
% 46.27/15.67  																																													| (560) all_0_97_97 = e0
% 46.27/15.67  																																													|
% 46.27/15.67  																																														| Combining equations (610,560) yields a new equation:
% 46.27/15.67  																																														| (911) e4 = e0
% 46.27/15.67  																																														|
% 46.27/15.67  																																														| Simplifying 911 yields:
% 46.27/15.67  																																														| (912) e4 = e0
% 46.27/15.67  																																														|
% 46.27/15.67  																																														| Equations (912) can reduce 23 to:
% 46.27/15.67  																																														| (311) $false
% 46.27/15.67  																																														|
% 46.27/15.67  																																														|-The branch is then unsatisfiable
% 46.27/15.67  																																													|-Branch two:
% 46.27/15.67  																																													| (609)  ~ (all_0_97_97 = e0)
% 46.27/15.67  																																													| (1121) all_0_98_98 = e0
% 46.27/15.67  																																													|
% 46.27/15.67  																																														| Combining equations (1121,969) yields a new equation:
% 46.27/15.67  																																														| (600) e3 = e0
% 46.27/15.67  																																														|
% 46.27/15.67  																																														| Equations (600) can reduce 50 to:
% 46.27/15.67  																																														| (311) $false
% 46.27/15.67  																																														|
% 46.27/15.67  																																														|-The branch is then unsatisfiable
% 46.27/15.67  																																			|-Branch two:
% 46.27/15.67  																																			| (793)  ~ (all_0_82_82 = e3)
% 46.27/15.67  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.27/15.67  																																			|
% 46.27/15.67  																																				+-Applying beta-rule and splitting (250), into two cases.
% 46.27/15.67  																																				|-Branch one:
% 46.27/15.67  																																				| (635) all_0_81_81 = e3
% 46.27/15.67  																																				|
% 46.27/15.67  																																					| Combining equations (477,635) yields a new equation:
% 46.27/15.67  																																					| (772) e3 = e1
% 46.27/15.67  																																					|
% 46.27/15.67  																																					| Equations (772) can reduce 20 to:
% 46.27/15.67  																																					| (311) $false
% 46.27/15.67  																																					|
% 46.27/15.67  																																					|-The branch is then unsatisfiable
% 46.27/15.67  																																				|-Branch two:
% 46.27/15.67  																																				| (420)  ~ (all_0_81_81 = e3)
% 46.27/15.67  																																				| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.27/15.67  																																				|
% 46.27/15.67  																																					+-Applying beta-rule and splitting (1296), into two cases.
% 46.27/15.67  																																					|-Branch one:
% 46.27/15.67  																																					| (795) all_0_83_83 = e3
% 46.27/15.67  																																					|
% 46.27/15.67  																																						| Combining equations (798,795) yields a new equation:
% 46.27/15.67  																																						| (600) e3 = e0
% 46.27/15.67  																																						|
% 46.27/15.67  																																						| Equations (600) can reduce 50 to:
% 46.27/15.67  																																						| (311) $false
% 46.27/15.67  																																						|
% 46.27/15.67  																																						|-The branch is then unsatisfiable
% 46.27/15.67  																																					|-Branch two:
% 46.27/15.67  																																					| (779)  ~ (all_0_83_83 = e3)
% 46.27/15.67  																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.27/15.67  																																					|
% 46.27/15.67  																																						+-Applying beta-rule and splitting (4488), into two cases.
% 46.27/15.67  																																						|-Branch one:
% 46.27/15.67  																																						| (804) all_0_85_85 = e3
% 46.27/15.67  																																						|
% 46.27/15.67  																																							| Combining equations (493,804) yields a new equation:
% 46.27/15.67  																																							| (790) e4 = e3
% 46.27/15.67  																																							|
% 46.27/15.68  																																							| Simplifying 790 yields:
% 46.27/15.68  																																							| (434) e4 = e3
% 46.27/15.68  																																							|
% 46.27/15.68  																																							| Equations (434) can reduce 177 to:
% 46.27/15.68  																																							| (311) $false
% 46.27/15.68  																																							|
% 46.27/15.68  																																							|-The branch is then unsatisfiable
% 46.27/15.68  																																						|-Branch two:
% 46.27/15.68  																																						| (952)  ~ (all_0_85_85 = e3)
% 46.27/15.68  																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.27/15.68  																																						|
% 46.27/15.68  																																							+-Applying beta-rule and splitting (4559), into two cases.
% 46.27/15.68  																																							|-Branch one:
% 46.27/15.68  																																							| (570) all_0_93_93 = e3
% 46.27/15.68  																																							|
% 46.27/15.68  																																								| Equations (570) can reduce 602 to:
% 46.27/15.68  																																								| (311) $false
% 46.27/15.68  																																								|
% 46.27/15.68  																																								|-The branch is then unsatisfiable
% 46.27/15.68  																																							|-Branch two:
% 46.27/15.68  																																							| (602)  ~ (all_0_93_93 = e3)
% 46.27/15.68  																																							| (969) all_0_98_98 = e3
% 46.27/15.68  																																							|
% 46.27/15.68  																																								| Equations (969) can reduce 321 to:
% 46.27/15.68  																																								| (783)  ~ (e4 = e3)
% 46.27/15.68  																																								|
% 46.27/15.68  																																								| Simplifying 783 yields:
% 46.27/15.68  																																								| (177)  ~ (e4 = e3)
% 46.27/15.68  																																								|
% 46.27/15.68  																																								| Equations (969) can reduce 1349 to:
% 46.27/15.68  																																								| (169)  ~ (e3 = e2)
% 46.27/15.68  																																								|
% 46.27/15.68  																																								+-Applying beta-rule and splitting (220), into two cases.
% 46.27/15.68  																																								|-Branch one:
% 46.27/15.68  																																								| (771) all_0_78_78 = e3
% 46.27/15.68  																																								|
% 46.27/15.68  																																									| Combining equations (463,771) yields a new equation:
% 46.27/15.68  																																									| (790) e4 = e3
% 46.27/15.68  																																									|
% 46.27/15.68  																																									| Simplifying 790 yields:
% 46.27/15.68  																																									| (434) e4 = e3
% 46.27/15.68  																																									|
% 46.27/15.68  																																									| Equations (434) can reduce 177 to:
% 46.27/15.68  																																									| (311) $false
% 46.27/15.68  																																									|
% 46.27/15.68  																																									|-The branch is then unsatisfiable
% 46.27/15.68  																																								|-Branch two:
% 46.27/15.68  																																								| (418)  ~ (all_0_78_78 = e3)
% 46.27/15.68  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.27/15.68  																																								|
% 46.27/15.68  																																									| Equations (463) can reduce 418 to:
% 46.27/15.68  																																									| (177)  ~ (e4 = e3)
% 46.27/15.68  																																									|
% 46.27/15.68  																																									+-Applying beta-rule and splitting (1594), into two cases.
% 46.27/15.68  																																									|-Branch one:
% 46.27/15.68  																																									| (1265) all_0_84_84 = e3
% 46.27/15.68  																																									|
% 46.27/15.68  																																										| Combining equations (552,1265) yields a new equation:
% 46.27/15.68  																																										| (548) e3 = e2
% 46.27/15.68  																																										|
% 46.27/15.68  																																										| Equations (548) can reduce 169 to:
% 46.27/15.68  																																										| (311) $false
% 46.27/15.68  																																										|
% 46.27/15.68  																																										|-The branch is then unsatisfiable
% 46.27/15.68  																																									|-Branch two:
% 46.27/15.68  																																									| (422)  ~ (all_0_84_84 = e3)
% 46.27/15.68  																																									| (804) all_0_85_85 = e3
% 46.27/15.68  																																									|
% 46.27/15.68  																																										| Combining equations (493,804) yields a new equation:
% 46.27/15.68  																																										| (790) e4 = e3
% 46.27/15.68  																																										|
% 46.27/15.68  																																										| Simplifying 790 yields:
% 46.27/15.68  																																										| (434) e4 = e3
% 46.27/15.68  																																										|
% 46.27/15.68  																																										| Equations (434) can reduce 177 to:
% 46.27/15.68  																																										| (311) $false
% 46.27/15.68  																																										|
% 46.27/15.68  																																										|-The branch is then unsatisfiable
% 46.27/15.68  																																	|-Branch two:
% 46.27/15.68  																																	| (1314)  ~ (all_0_83_83 = e0)
% 46.27/15.68  																																	| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.27/15.68  																																	|
% 46.27/15.68  																																		+-Applying beta-rule and splitting (291), into two cases.
% 46.27/15.68  																																		|-Branch one:
% 46.27/15.68  																																		| (758) all_0_90_90 = e0
% 46.27/15.68  																																		|
% 46.27/15.68  																																			| Combining equations (746,758) yields a new equation:
% 46.27/15.68  																																			| (923) e2 = e0
% 46.27/15.68  																																			|
% 46.27/15.68  																																			| Simplifying 923 yields:
% 46.27/15.68  																																			| (379) e2 = e0
% 46.27/15.68  																																			|
% 46.27/15.68  																																			| Equations (379) can reduce 76 to:
% 46.27/15.68  																																			| (311) $false
% 46.27/15.68  																																			|
% 46.27/15.68  																																			|-The branch is then unsatisfiable
% 46.27/15.68  																																		|-Branch two:
% 46.27/15.68  																																		| (762)  ~ (all_0_90_90 = e0)
% 46.27/15.68  																																		| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.27/15.68  																																		|
% 46.27/15.68  																																			+-Applying beta-rule and splitting (1455), into two cases.
% 46.27/15.68  																																			|-Branch one:
% 46.27/15.68  																																			| (1456) all_0_91_91 = e0
% 46.27/15.68  																																			|
% 46.27/15.68  																																				| Combining equations (588,1456) yields a new equation:
% 46.27/15.68  																																				| (599) e3 = e0
% 46.27/15.68  																																				|
% 46.27/15.68  																																				| Simplifying 599 yields:
% 46.27/15.68  																																				| (600) e3 = e0
% 46.27/15.68  																																				|
% 46.27/15.68  																																				| Equations (600) can reduce 50 to:
% 46.27/15.68  																																				| (311) $false
% 46.27/15.68  																																				|
% 46.27/15.68  																																				|-The branch is then unsatisfiable
% 46.27/15.68  																																			|-Branch two:
% 46.27/15.68  																																			| (1487)  ~ (all_0_91_91 = e0)
% 46.27/15.68  																																			| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.27/15.68  																																			|
% 46.27/15.68  																																				| Equations (588) can reduce 1487 to:
% 46.27/15.68  																																				| (50)  ~ (e3 = e0)
% 46.27/15.68  																																				|
% 46.27/15.68  																																				+-Applying beta-rule and splitting (1400), into two cases.
% 46.27/15.68  																																				|-Branch one:
% 46.27/15.68  																																				| (1456) all_0_91_91 = e0
% 46.27/15.68  																																				|
% 46.27/15.68  																																					| Combining equations (588,1456) yields a new equation:
% 46.27/15.68  																																					| (599) e3 = e0
% 46.27/15.68  																																					|
% 46.27/15.68  																																					| Simplifying 599 yields:
% 46.27/15.68  																																					| (600) e3 = e0
% 46.27/15.68  																																					|
% 46.27/15.68  																																					| Equations (600) can reduce 50 to:
% 46.27/15.68  																																					| (311) $false
% 46.27/15.68  																																					|
% 46.27/15.68  																																					|-The branch is then unsatisfiable
% 46.27/15.68  																																				|-Branch two:
% 46.27/15.68  																																				| (1487)  ~ (all_0_91_91 = e0)
% 46.27/15.68  																																				| (1837) all_0_96_96 = e0
% 46.27/15.68  																																				|
% 46.27/15.68  																																					| Combining equations (1837,960) yields a new equation:
% 46.27/15.68  																																					| (865) e1 = e0
% 46.27/15.68  																																					|
% 46.27/15.68  																																					| Equations (865) can reduce 264 to:
% 46.27/15.68  																																					| (311) $false
% 46.27/15.68  																																					|
% 46.27/15.68  																																					|-The branch is then unsatisfiable
% 46.27/15.68  																															|-Branch two:
% 46.27/15.68  																															| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.27/15.68  																															|
% 46.27/15.68  																																| Applying alpha-rule on (590) yields:
% 46.27/15.68  																																| (591) all_0_64_64 = e2
% 46.27/15.68  																																| (592)  ~ (all_0_65_65 = e1)
% 46.27/15.68  																																|
% 46.27/15.68  																																| Combining equations (8320,591) yields a new equation:
% 46.27/15.68  																																| (9123) all_0_93_93 = e2
% 46.27/15.68  																																|
% 46.27/15.68  																																| Simplifying 9123 yields:
% 46.27/15.68  																																| (522) all_0_93_93 = e2
% 46.27/15.68  																																|
% 46.27/15.68  																																| Equations (522) can reduce 300 to:
% 46.27/15.68  																																| (311) $false
% 46.27/15.68  																																|
% 46.27/15.68  																																|-The branch is then unsatisfiable
% 46.27/15.68  																														|-Branch two:
% 46.27/15.68  																														| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.27/15.68  																														|
% 46.27/15.68  																															| Applying alpha-rule on (596) yields:
% 46.27/15.68  																															| (597) all_0_67_67 = e0
% 46.27/15.68  																															| (598)  ~ (all_0_68_68 = e1)
% 46.27/15.68  																															|
% 46.27/15.68  																															| Combining equations (3520,597) yields a new equation:
% 46.27/15.68  																															| (911) e4 = e0
% 46.27/15.68  																															|
% 46.27/15.68  																															| Simplifying 911 yields:
% 46.27/15.68  																															| (912) e4 = e0
% 46.27/15.68  																															|
% 46.27/15.68  																															| Equations (912) can reduce 23 to:
% 46.27/15.68  																															| (311) $false
% 46.27/15.68  																															|
% 46.27/15.68  																															|-The branch is then unsatisfiable
% 46.27/15.68  																													|-Branch two:
% 46.27/15.68  																													| (294)  ~ (all_0_90_90 = e2)
% 46.27/15.68  																													| (767) all_0_95_95 = e2
% 46.27/15.68  																													|
% 46.27/15.68  																														| Equations (767) can reduce 355 to:
% 46.27/15.68  																														| (311) $false
% 46.27/15.68  																														|
% 46.27/15.68  																														|-The branch is then unsatisfiable
% 46.27/15.68  																									|-Branch two:
% 46.27/15.68  																									| (612)  ~ (all_0_84_84 = e2)
% 46.27/15.68  																									| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.27/15.68  																									|
% 46.27/15.68  																										+-Applying beta-rule and splitting (617), into two cases.
% 46.27/15.68  																										|-Branch one:
% 46.27/15.68  																										| (1265) all_0_84_84 = e3
% 46.27/15.68  																										|
% 46.27/15.68  																											| Equations (1265) can reduce 422 to:
% 46.27/15.68  																											| (311) $false
% 46.27/15.68  																											|
% 46.27/15.68  																											|-The branch is then unsatisfiable
% 46.27/15.68  																										|-Branch two:
% 46.27/15.68  																										| (422)  ~ (all_0_84_84 = e3)
% 46.27/15.68  																										| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.27/15.68  																										|
% 46.27/15.68  																											+-Applying beta-rule and splitting (1268), into two cases.
% 46.27/15.68  																											|-Branch one:
% 46.27/15.68  																											| (916) all_0_84_84 = e0
% 46.27/15.68  																											|
% 46.27/15.68  																												| Equations (916) can reduce 919 to:
% 46.27/15.68  																												| (311) $false
% 46.27/15.68  																												|
% 46.27/15.68  																												|-The branch is then unsatisfiable
% 46.27/15.68  																											|-Branch two:
% 46.27/15.68  																											| (919)  ~ (all_0_84_84 = e0)
% 46.27/15.68  																											| (438) all_0_84_84 = e4
% 46.27/15.68  																											|
% 46.27/15.68  																												| Equations (438) can reduce 417 to:
% 46.27/15.68  																												| (311) $false
% 46.27/15.68  																												|
% 46.27/15.68  																												|-The branch is then unsatisfiable
% 46.27/15.68  																								|-Branch two:
% 46.27/15.68  																								| (889)  ~ (all_0_87_87 = e0)
% 46.27/15.68  																								| (507) all_0_88_88 = e0
% 46.27/15.68  																								|
% 46.27/15.68  																									| Combining equations (370,507) yields a new equation:
% 46.27/15.68  																									| (923) e2 = e0
% 46.27/15.68  																									|
% 46.27/15.68  																									| Simplifying 923 yields:
% 46.27/15.68  																									| (379) e2 = e0
% 46.27/15.68  																									|
% 46.27/15.68  																									| Equations (379) can reduce 76 to:
% 46.27/15.68  																									| (311) $false
% 46.27/15.68  																									|
% 46.27/15.68  																									|-The branch is then unsatisfiable
% 46.27/15.68  																							|-Branch two:
% 46.27/15.68  																							| (840)  ~ (all_0_92_92 = e1)
% 46.27/15.68  																							| (566) all_0_93_93 = e1
% 46.27/15.68  																							|
% 46.27/15.68  																								| Equations (566) can reduce 481 to:
% 46.27/15.68  																								| (311) $false
% 46.27/15.68  																								|
% 46.27/15.68  																								|-The branch is then unsatisfiable
% 46.27/15.68  																				|-Branch two:
% 46.27/15.68  																				| (1479)  ~ (all_0_96_96 = e1)
% 46.27/15.68  																				| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.27/15.68  																				|
% 46.27/15.68  																					+-Applying beta-rule and splitting (2126), into two cases.
% 46.27/15.68  																					|-Branch one:
% 46.27/15.68  																					| (542) all_0_97_97 = e1
% 46.27/15.68  																					|
% 46.27/15.68  																						| Combining equations (542,610) yields a new equation:
% 46.27/15.68  																						| (814) e4 = e1
% 46.27/15.68  																						|
% 46.27/15.68  																						| Equations (814) can reduce 256 to:
% 46.27/15.68  																						| (311) $false
% 46.27/15.68  																						|
% 46.27/15.68  																						|-The branch is then unsatisfiable
% 46.27/15.68  																					|-Branch two:
% 46.27/15.68  																					| (486)  ~ (all_0_97_97 = e1)
% 46.27/15.68  																					| (1543) all_0_98_98 = e1
% 46.27/15.68  																					|
% 46.27/15.68  																						| Equations (1543) can reduce 1804 to:
% 46.27/15.68  																						| (311) $false
% 46.27/15.68  																						|
% 46.27/15.68  																						|-The branch is then unsatisfiable
% 46.27/15.68  																	|-Branch two:
% 46.27/15.68  																	| (387)  ~ (all_0_86_86 = e1)
% 46.27/15.68  																	| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 46.27/15.68  																	|
% 46.27/15.68  																		+-Applying beta-rule and splitting (388), into two cases.
% 46.27/15.68  																		|-Branch one:
% 46.27/15.68  																		| (482) all_0_87_87 = e1
% 46.27/15.68  																		|
% 46.27/15.68  																			| Equations (482) can reduce 124 to:
% 46.27/15.68  																			| (259)  ~ (all_0_84_84 = e1)
% 46.27/15.68  																			|
% 46.27/15.68  																			| Equations (482) can reduce 162 to:
% 46.27/15.68  																			| (387)  ~ (all_0_86_86 = e1)
% 46.27/15.68  																			|
% 46.27/15.68  																			| From (482) and (83) follows:
% 46.27/15.68  																			| (24490) op(e2, e1) = all_0_65_65
% 46.27/15.68  																			|
% 46.27/15.68  																			| From (482) and (14) follows:
% 46.27/15.68  																			| (13258) op(e2, e1) = e1
% 46.27/15.68  																			|
% 46.27/15.68  																			+-Applying beta-rule and splitting (237), into two cases.
% 46.27/15.68  																			|-Branch one:
% 46.27/15.68  																			| (378) all_0_86_86 = e0
% 46.27/15.68  																			|
% 46.27/15.68  																				| Equations (378) can reduce 81 to:
% 46.27/15.68  																				| (914)  ~ (all_0_82_82 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Equations (378) can reduce 241 to:
% 46.27/15.68  																				| (904)  ~ (e4 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Simplifying 904 yields:
% 46.27/15.68  																				| (23)  ~ (e4 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Equations (378) can reduce 9507 to:
% 46.27/15.68  																				| (510)  ~ (e2 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Simplifying 510 yields:
% 46.27/15.68  																				| (76)  ~ (e2 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Equations (378) can reduce 387 to:
% 46.27/15.68  																				| (859)  ~ (e1 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| Simplifying 859 yields:
% 46.27/15.68  																				| (264)  ~ (e1 = e0)
% 46.27/15.68  																				|
% 46.27/15.68  																				| From (378) and (110) follows:
% 46.27/15.69  																				| (9556) op(e3, e0) = all_0_46_46
% 46.27/15.69  																				|
% 46.27/15.69  																				| From (378) and (167) follows:
% 46.27/15.69  																				| (9557) op(e2, e0) = all_0_47_47
% 46.27/15.69  																				|
% 46.27/15.69  																				| From (378) and (245) follows:
% 46.27/15.69  																				| (5343) op(e2, e3) = e0
% 46.27/15.69  																				|
% 46.27/15.69  																				| Instantiating formula (262) with e3, e0, all_0_46_46, e4 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = e4, yields:
% 46.27/15.69  																				| (18214) all_0_46_46 = e4
% 46.27/15.69  																				|
% 46.27/15.69  																				| Instantiating formula (262) with e2, e1, e1, all_0_65_65 and discharging atoms op(e2, e1) = all_0_65_65, op(e2, e1) = e1, yields:
% 46.27/15.69  																				| (6145) all_0_65_65 = e1
% 46.27/15.69  																				|
% 46.27/15.69  																				| Instantiating formula (262) with e2, e0, all_0_47_47, e2 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e2, yields:
% 46.27/15.69  																				| (13665) all_0_47_47 = e2
% 46.27/15.69  																				|
% 46.27/15.69  																				| From (18214) and (9556) follows:
% 46.27/15.69  																				| (4406) op(e3, e0) = e4
% 46.27/15.69  																				|
% 46.27/15.69  																				| From (6145) and (24490) follows:
% 46.27/15.69  																				| (13258) op(e2, e1) = e1
% 46.27/15.69  																				|
% 46.27/15.69  																				| From (13665) and (9557) follows:
% 46.27/15.69  																				| (18818) op(e2, e0) = e2
% 46.27/15.69  																				|
% 46.27/15.69  																				+-Applying beta-rule and splitting (276), into two cases.
% 46.27/15.69  																				|-Branch one:
% 46.27/15.69  																				| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.27/15.69  																				|
% 46.27/15.69  																					+-Applying beta-rule and splitting (577), into two cases.
% 46.27/15.69  																					|-Branch one:
% 46.27/15.69  																					| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.27/15.69  																					|
% 46.27/15.69  																						+-Applying beta-rule and splitting (578), into two cases.
% 46.27/15.69  																						|-Branch one:
% 46.27/15.69  																						| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.27/15.69  																						|
% 46.27/15.69  																							| Applying alpha-rule on (579) yields:
% 46.27/15.69  																							| (580) all_0_60_60 = e4
% 46.27/15.69  																							| (581)  ~ (all_0_61_61 = e1)
% 46.27/15.69  																							|
% 46.27/15.69  																							| Combining equations (451,580) yields a new equation:
% 46.27/15.69  																							| (582) all_0_90_90 = e4
% 46.27/15.69  																							|
% 46.27/15.69  																							| Simplifying 582 yields:
% 46.27/15.69  																							| (583) all_0_90_90 = e4
% 46.27/15.69  																							|
% 46.27/15.69  																							| Equations (583) can reduce 467 to:
% 46.27/15.69  																							| (311) $false
% 46.27/15.69  																							|
% 46.27/15.69  																							|-The branch is then unsatisfiable
% 46.27/15.69  																						|-Branch two:
% 46.27/15.69  																						| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.27/15.69  																						|
% 46.27/15.69  																							| Applying alpha-rule on (585) yields:
% 46.27/15.69  																							| (586) all_0_62_62 = e3
% 46.27/15.69  																							| (587)  ~ (all_0_63_63 = e1)
% 46.27/15.69  																							|
% 46.27/15.69  																							| From (586) and (122) follows:
% 46.27/15.69  																							| (5563) op(e1, all_0_84_84) = e3
% 46.27/15.69  																							|
% 46.27/15.69  																							+-Applying beta-rule and splitting (41), into two cases.
% 46.27/15.69  																							|-Branch one:
% 46.27/15.69  																							| (530) all_0_82_82 = e2
% 46.27/15.69  																							|
% 46.27/15.69  																								| Equations (530) can reduce 7 to:
% 46.27/15.69  																								| (1631)  ~ (all_0_84_84 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								| Simplifying 1631 yields:
% 46.27/15.69  																								| (612)  ~ (all_0_84_84 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								| Equations (530) can reduce 255 to:
% 46.27/15.69  																								| (293)  ~ (all_0_90_90 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								| Simplifying 293 yields:
% 46.27/15.69  																								| (294)  ~ (all_0_90_90 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								| Equations (530) can reduce 465 to:
% 46.27/15.69  																								| (528)  ~ (e4 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								| Simplifying 528 yields:
% 46.27/15.69  																								| (79)  ~ (e4 = e2)
% 46.27/15.69  																								|
% 46.27/15.69  																								+-Applying beta-rule and splitting (92), into two cases.
% 46.27/15.69  																								|-Branch one:
% 46.27/15.69  																								| (552) all_0_84_84 = e2
% 46.27/15.69  																								|
% 46.27/15.69  																									| Equations (552) can reduce 612 to:
% 46.27/15.69  																									| (311) $false
% 46.27/15.69  																									|
% 46.27/15.69  																									|-The branch is then unsatisfiable
% 46.27/15.69  																								|-Branch two:
% 46.27/15.69  																								| (612)  ~ (all_0_84_84 = e2)
% 46.27/15.69  																								| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.27/15.69  																								|
% 46.27/15.69  																									+-Applying beta-rule and splitting (171), into two cases.
% 46.27/15.69  																									|-Branch one:
% 46.27/15.69  																									| (789) all_0_82_82 = e3
% 46.27/15.69  																									|
% 46.27/15.69  																										| Combining equations (530,789) yields a new equation:
% 46.27/15.69  																										| (548) e3 = e2
% 46.27/15.69  																										|
% 46.27/15.69  																										| Equations (548) can reduce 169 to:
% 46.27/15.69  																										| (311) $false
% 46.27/15.69  																										|
% 46.27/15.69  																										|-The branch is then unsatisfiable
% 46.27/15.69  																									|-Branch two:
% 46.27/15.69  																									| (793)  ~ (all_0_82_82 = e3)
% 46.27/15.69  																									| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.27/15.69  																									|
% 46.27/15.69  																										+-Applying beta-rule and splitting (1296), into two cases.
% 46.27/15.69  																										|-Branch one:
% 46.27/15.69  																										| (795) all_0_83_83 = e3
% 46.27/15.69  																										|
% 46.27/15.69  																											| Equations (795) can reduce 223 to:
% 46.27/15.69  																											| (421)  ~ (all_0_84_84 = e3)
% 46.27/15.69  																											|
% 46.27/15.69  																											| Simplifying 421 yields:
% 46.27/15.69  																											| (422)  ~ (all_0_84_84 = e3)
% 46.27/15.69  																											|
% 46.27/15.69  																											| From (795) and (206) follows:
% 46.27/15.69  																											| (8280) op(e2, e3) = all_0_54_54
% 46.27/15.69  																											|
% 46.27/15.69  																											+-Applying beta-rule and splitting (617), into two cases.
% 46.27/15.69  																											|-Branch one:
% 46.27/15.69  																											| (1265) all_0_84_84 = e3
% 46.27/15.69  																											|
% 46.27/15.69  																												| Equations (1265) can reduce 422 to:
% 46.27/15.69  																												| (311) $false
% 46.27/15.69  																												|
% 46.27/15.69  																												|-The branch is then unsatisfiable
% 46.27/15.69  																											|-Branch two:
% 46.27/15.69  																											| (422)  ~ (all_0_84_84 = e3)
% 46.27/15.69  																											| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.27/15.69  																											|
% 46.27/15.69  																												+-Applying beta-rule and splitting (236), into two cases.
% 46.27/15.69  																												|-Branch one:
% 46.27/15.69  																												| (292) all_0_89_89 = e2
% 46.27/15.69  																												|
% 46.27/15.69  																													| Combining equations (292,308) yields a new equation:
% 46.27/15.69  																													| (310) e4 = e2
% 46.27/15.69  																													|
% 46.27/15.69  																													| Equations (310) can reduce 79 to:
% 46.27/15.69  																													| (311) $false
% 46.27/15.69  																													|
% 46.27/15.69  																													|-The branch is then unsatisfiable
% 46.27/15.69  																												|-Branch two:
% 46.27/15.69  																												| (30522)  ~ (all_0_89_89 = e2)
% 46.27/15.69  																												| (30794) all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.27/15.69  																												|
% 46.27/15.69  																													+-Applying beta-rule and splitting (30794), into two cases.
% 46.27/15.69  																													|-Branch one:
% 46.27/15.69  																													| (746) all_0_90_90 = e2
% 46.27/15.69  																													|
% 46.27/15.69  																														| Equations (746) can reduce 294 to:
% 46.27/15.69  																														| (311) $false
% 46.27/15.69  																														|
% 46.27/15.69  																														|-The branch is then unsatisfiable
% 46.27/15.69  																													|-Branch two:
% 46.27/15.69  																													| (294)  ~ (all_0_90_90 = e2)
% 46.27/15.70  																													| (30798) all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.27/15.70  																													|
% 46.27/15.70  																														+-Applying beta-rule and splitting (30798), into two cases.
% 46.27/15.70  																														|-Branch one:
% 46.27/15.70  																														| (1723) all_0_91_91 = e2
% 46.27/15.70  																														|
% 46.27/15.70  																															| Equations (1723) can reduce 296 to:
% 46.27/15.70  																															| (311) $false
% 46.27/15.70  																															|
% 46.27/15.70  																															|-The branch is then unsatisfiable
% 46.27/15.70  																														|-Branch two:
% 46.27/15.70  																														| (296)  ~ (all_0_91_91 = e2)
% 46.27/15.70  																														| (30802) all_0_92_92 = e2 | all_0_93_93 = e2
% 46.27/15.70  																														|
% 46.27/15.70  																															+-Applying beta-rule and splitting (30802), into two cases.
% 46.27/15.70  																															|-Branch one:
% 46.27/15.70  																															| (1343) all_0_92_92 = e2
% 46.27/15.70  																															|
% 46.27/15.70  																																| Equations (1343) can reduce 265 to:
% 46.27/15.70  																																| (296)  ~ (all_0_91_91 = e2)
% 46.27/15.70  																																|
% 46.27/15.70  																																| Equations (1343) can reduce 283 to:
% 46.27/15.70  																																| (299)  ~ (all_0_93_93 = e2)
% 46.27/15.70  																																|
% 46.27/15.70  																																| Simplifying 299 yields:
% 46.27/15.70  																																| (300)  ~ (all_0_93_93 = e2)
% 46.27/15.70  																																|
% 46.27/15.70  																																+-Applying beta-rule and splitting (2), into two cases.
% 46.27/15.70  																																|-Branch one:
% 46.27/15.70  																																| (916) all_0_84_84 = e0
% 46.27/15.70  																																|
% 46.27/15.70  																																	| Equations (916) can reduce 259 to:
% 46.27/15.70  																																	| (859)  ~ (e1 = e0)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Simplifying 859 yields:
% 46.27/15.70  																																	| (264)  ~ (e1 = e0)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| From (916) and (150) follows:
% 46.27/15.70  																																	| (11508) op(e3, e0) = all_0_63_63
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| From (916) and (5563) follows:
% 46.27/15.70  																																	| (573) op(e1, e0) = e3
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Instantiating formula (262) with e3, e0, all_0_63_63, e4 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e4, yields:
% 46.27/15.70  																																	| (10099) all_0_63_63 = e4
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 46.27/15.70  																																	| (12243) all_0_54_54 = e0
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Instantiating formula (262) with e1, e0, e3, all_0_93_93 and discharging atoms op(e1, e0) = all_0_93_93, op(e1, e0) = e3, yields:
% 46.27/15.70  																																	| (570) all_0_93_93 = e3
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (10099) can reduce 587 to:
% 46.27/15.70  																																	| (256)  ~ (e4 = e1)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (570) can reduce 34 to:
% 46.27/15.70  																																	| (745)  ~ (all_0_90_90 = e3)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (570) can reduce 44 to:
% 46.27/15.70  																																	| (571)  ~ (all_0_91_91 = e3)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (570) can reduce 496 to:
% 46.27/15.70  																																	| (783)  ~ (e4 = e3)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Simplifying 783 yields:
% 46.27/15.70  																																	| (177)  ~ (e4 = e3)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (570) can reduce 300 to:
% 46.27/15.70  																																	| (169)  ~ (e3 = e2)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	| Equations (570) can reduce 481 to:
% 46.27/15.70  																																	| (20)  ~ (e3 = e1)
% 46.27/15.70  																																	|
% 46.27/15.70  																																	+-Applying beta-rule and splitting (270), into two cases.
% 46.27/15.70  																																	|-Branch one:
% 46.27/15.70  																																	| (744) all_0_95_95 = e3
% 46.27/15.70  																																	|
% 46.27/15.70  																																		| Equations (744) can reduce 279 to:
% 46.27/15.70  																																		| (1300)  ~ (all_0_96_96 = e3)
% 46.27/15.70  																																		|
% 46.27/15.70  																																		| Simplifying 1300 yields:
% 46.27/15.70  																																		| (964)  ~ (all_0_96_96 = e3)
% 46.27/15.70  																																		|
% 46.27/15.70  																																		| Equations (744) can reduce 107 to:
% 46.27/15.70  																																		| (1518)  ~ (all_0_98_98 = e3)
% 46.27/15.70  																																		|
% 46.27/15.70  																																		| Simplifying 1518 yields:
% 46.27/15.70  																																		| (1519)  ~ (all_0_98_98 = e3)
% 46.27/15.70  																																		|
% 46.27/15.70  																																		+-Applying beta-rule and splitting (188), into two cases.
% 46.27/15.70  																																		|-Branch one:
% 46.27/15.70  																																		| (676) all_0_78_78 = e1
% 46.27/15.70  																																		|
% 46.27/15.70  																																			| Combining equations (676,463) yields a new equation:
% 46.27/15.70  																																			| (814) e4 = e1
% 46.27/15.70  																																			|
% 46.27/15.70  																																			| Equations (814) can reduce 256 to:
% 46.27/15.70  																																			| (311) $false
% 46.27/15.70  																																			|
% 46.27/15.70  																																			|-The branch is then unsatisfiable
% 46.27/15.70  																																		|-Branch two:
% 46.27/15.70  																																		| (1601)  ~ (all_0_78_78 = e1)
% 46.27/15.70  																																		| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.27/15.70  																																		|
% 46.27/15.70  																																			+-Applying beta-rule and splitting (1718), into two cases.
% 46.27/15.70  																																			|-Branch one:
% 46.27/15.70  																																			| (384) all_0_86_86 = e1
% 46.27/15.70  																																			|
% 46.27/15.70  																																				| Combining equations (378,384) yields a new equation:
% 46.27/15.70  																																				| (865) e1 = e0
% 46.27/15.70  																																				|
% 46.27/15.70  																																				| Equations (865) can reduce 264 to:
% 46.27/15.70  																																				| (311) $false
% 46.27/15.70  																																				|
% 46.27/15.70  																																				|-The branch is then unsatisfiable
% 46.27/15.70  																																			|-Branch two:
% 46.27/15.70  																																			| (387)  ~ (all_0_86_86 = e1)
% 46.27/15.70  																																			| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.27/15.70  																																			|
% 46.27/15.70  																																				+-Applying beta-rule and splitting (48), into two cases.
% 46.27/15.70  																																				|-Branch one:
% 46.27/15.70  																																				| (525) all_0_98_98 = e2
% 46.27/15.70  																																				|
% 46.27/15.70  																																					| Equations (525) can reduce 1349 to:
% 46.27/15.70  																																					| (311) $false
% 46.27/15.70  																																					|
% 46.27/15.70  																																					|-The branch is then unsatisfiable
% 46.27/15.70  																																				|-Branch two:
% 46.27/15.70  																																				| (1349)  ~ (all_0_98_98 = e2)
% 46.27/15.70  																																				| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.27/15.70  																																				|
% 46.27/15.70  																																					+-Applying beta-rule and splitting (2122), into two cases.
% 46.27/15.70  																																					|-Branch one:
% 46.27/15.70  																																					| (750) all_0_90_90 = e1
% 46.27/15.70  																																					|
% 46.27/15.70  																																						| Equations (750) can reduce 103 to:
% 46.27/15.70  																																						| (1669)  ~ (all_0_91_91 = e1)
% 46.27/15.70  																																						|
% 46.27/15.70  																																						| Simplifying 1669 yields:
% 46.27/15.70  																																						| (959)  ~ (all_0_91_91 = e1)
% 46.27/15.70  																																						|
% 46.27/15.70  																																						+-Applying beta-rule and splitting (5118), into two cases.
% 46.27/15.70  																																						|-Branch one:
% 46.27/15.70  																																						| (1543) all_0_98_98 = e1
% 46.27/15.70  																																						|
% 46.27/15.70  																																							| Equations (1543) can reduce 1804 to:
% 46.27/15.70  																																							| (311) $false
% 46.27/15.70  																																							|
% 46.27/15.70  																																							|-The branch is then unsatisfiable
% 46.27/15.70  																																						|-Branch two:
% 46.27/15.70  																																						| (1804)  ~ (all_0_98_98 = e1)
% 46.27/15.70  																																						| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.27/15.70  																																						|
% 46.27/15.70  																																							+-Applying beta-rule and splitting (5122), into two cases.
% 46.27/15.70  																																							|-Branch one:
% 46.27/15.70  																																							| (969) all_0_98_98 = e3
% 46.27/15.70  																																							|
% 46.27/15.70  																																								| Equations (969) can reduce 1519 to:
% 46.27/15.70  																																								| (311) $false
% 46.27/15.70  																																								|
% 46.27/15.70  																																								|-The branch is then unsatisfiable
% 46.27/15.70  																																							|-Branch two:
% 46.27/15.70  																																							| (1519)  ~ (all_0_98_98 = e3)
% 46.27/15.70  																																							| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.27/15.70  																																							|
% 46.27/15.70  																																								+-Applying beta-rule and splitting (5284), into two cases.
% 46.27/15.70  																																								|-Branch one:
% 46.27/15.70  																																								| (1121) all_0_98_98 = e0
% 46.27/15.70  																																								|
% 46.27/15.70  																																									| Equations (1121) can reduce 43 to:
% 46.27/15.70  																																									| (2095)  ~ (all_0_96_96 = e0)
% 46.27/15.70  																																									|
% 46.27/15.70  																																									| Equations (1121) can reduce 1519 to:
% 46.27/15.70  																																									| (906)  ~ (e3 = e0)
% 46.27/15.70  																																									|
% 46.27/15.70  																																									| Simplifying 906 yields:
% 46.27/15.70  																																									| (50)  ~ (e3 = e0)
% 46.27/15.70  																																									|
% 46.27/15.70  																																									+-Applying beta-rule and splitting (219), into two cases.
% 46.27/15.70  																																									|-Branch one:
% 46.27/15.70  																																									| (798) all_0_83_83 = e0
% 46.27/15.70  																																									|
% 46.27/15.70  																																										| Combining equations (795,798) yields a new equation:
% 46.27/15.70  																																										| (599) e3 = e0
% 46.27/15.70  																																										|
% 46.27/15.70  																																										| Simplifying 599 yields:
% 46.27/15.70  																																										| (600) e3 = e0
% 46.27/15.70  																																										|
% 46.27/15.70  																																										| Equations (600) can reduce 50 to:
% 46.27/15.70  																																										| (311) $false
% 46.27/15.70  																																										|
% 46.27/15.70  																																										|-The branch is then unsatisfiable
% 46.27/15.70  																																									|-Branch two:
% 46.27/15.70  																																									| (1314)  ~ (all_0_83_83 = e0)
% 46.35/15.70  																																									| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.35/15.70  																																									|
% 46.35/15.70  																																										+-Applying beta-rule and splitting (84), into two cases.
% 46.35/15.70  																																										|-Branch one:
% 46.35/15.70  																																										| (1704) all_0_96_96 = e2
% 46.35/15.70  																																										|
% 46.35/15.70  																																											| Equations (1704) can reduce 1638 to:
% 46.35/15.70  																																											| (311) $false
% 46.35/15.70  																																											|
% 46.35/15.70  																																											|-The branch is then unsatisfiable
% 46.35/15.70  																																										|-Branch two:
% 46.35/15.70  																																										| (1638)  ~ (all_0_96_96 = e2)
% 46.35/15.70  																																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.35/15.70  																																										|
% 46.35/15.70  																																											+-Applying beta-rule and splitting (284), into two cases.
% 46.35/15.70  																																											|-Branch one:
% 46.35/15.70  																																											| (1723) all_0_91_91 = e2
% 46.35/15.70  																																											|
% 46.35/15.70  																																												| Equations (1723) can reduce 296 to:
% 46.35/15.70  																																												| (311) $false
% 46.35/15.70  																																												|
% 46.35/15.70  																																												|-The branch is then unsatisfiable
% 46.35/15.70  																																											|-Branch two:
% 46.35/15.70  																																											| (296)  ~ (all_0_91_91 = e2)
% 46.35/15.70  																																											| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.35/15.70  																																											|
% 46.35/15.70  																																												+-Applying beta-rule and splitting (1707), into two cases.
% 46.35/15.70  																																												|-Branch one:
% 46.35/15.70  																																												| (960) all_0_96_96 = e1
% 46.35/15.70  																																												|
% 46.35/15.70  																																													| Equations (960) can reduce 64 to:
% 46.35/15.70  																																													| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.70  																																													|
% 46.35/15.70  																																													| Equations (960) can reduce 1638 to:
% 46.35/15.70  																																													| (487)  ~ (e2 = e1)
% 46.35/15.70  																																													|
% 46.35/15.70  																																													| Simplifying 487 yields:
% 46.35/15.70  																																													| (243)  ~ (e2 = e1)
% 46.35/15.70  																																													|
% 46.35/15.70  																																													| Equations (960) can reduce 2095 to:
% 46.35/15.70  																																													| (264)  ~ (e1 = e0)
% 46.35/15.70  																																													|
% 46.35/15.70  																																													| From (960) and (212) follows:
% 46.35/15.71  																																													| (15809) op(e2, e1) = all_0_58_58
% 46.35/15.71  																																													|
% 46.35/15.71  																																													+-Applying beta-rule and splitting (1400), into two cases.
% 46.35/15.71  																																													|-Branch one:
% 46.35/15.71  																																													| (1456) all_0_91_91 = e0
% 46.35/15.71  																																													|
% 46.35/15.71  																																														| Equations (1456) can reduce 571 to:
% 46.35/15.71  																																														| (906)  ~ (e3 = e0)
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Simplifying 906 yields:
% 46.35/15.71  																																														| (50)  ~ (e3 = e0)
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Equations (1456) can reduce 959 to:
% 46.35/15.71  																																														| (859)  ~ (e1 = e0)
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Simplifying 859 yields:
% 46.35/15.71  																																														| (264)  ~ (e1 = e0)
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| From (1456) and (222) follows:
% 46.35/15.71  																																														| (8259) op(e2, e0) = all_0_56_56
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Instantiating formula (262) with e2, e1, all_0_58_58, e1 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e1, yields:
% 46.35/15.71  																																														| (10941) all_0_58_58 = e1
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Instantiating formula (262) with e2, e0, all_0_56_56, e2 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e2, yields:
% 46.35/15.71  																																														| (8110) all_0_56_56 = e2
% 46.35/15.71  																																														|
% 46.35/15.71  																																														+-Applying beta-rule and splitting (33), into two cases.
% 46.35/15.71  																																														|-Branch one:
% 46.35/15.71  																																														| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 46.35/15.71  																																														|
% 46.35/15.71  																																															+-Applying beta-rule and splitting (1686), into two cases.
% 46.35/15.71  																																															|-Branch one:
% 46.35/15.71  																																															| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 46.35/15.71  																																															|
% 46.35/15.71  																																																+-Applying beta-rule and splitting (1687), into two cases.
% 46.35/15.71  																																																|-Branch one:
% 46.35/15.71  																																																| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 46.35/15.71  																																																|
% 46.35/15.71  																																																	| Applying alpha-rule on (1688) yields:
% 46.35/15.71  																																																	| (1689) all_0_52_52 = e4
% 46.35/15.71  																																																	| (1690)  ~ (all_0_53_53 = e2)
% 46.35/15.71  																																																	|
% 46.35/15.71  																																																	| Equations (24571) can reduce 1690 to:
% 46.35/15.71  																																																	| (311) $false
% 46.35/15.71  																																																	|
% 46.35/15.71  																																																	|-The branch is then unsatisfiable
% 46.35/15.71  																																																|-Branch two:
% 46.35/15.71  																																																| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 46.35/15.71  																																																|
% 46.35/15.71  																																																	| Applying alpha-rule on (1694) yields:
% 46.35/15.71  																																																	| (1695) all_0_54_54 = e3
% 46.35/15.71  																																																	| (1696)  ~ (all_0_55_55 = e2)
% 46.35/15.71  																																																	|
% 46.35/15.71  																																																	| Combining equations (12243,1695) yields a new equation:
% 46.35/15.71  																																																	| (600) e3 = e0
% 46.35/15.71  																																																	|
% 46.35/15.71  																																																	| Equations (600) can reduce 50 to:
% 46.35/15.71  																																																	| (311) $false
% 46.35/15.71  																																																	|
% 46.35/15.71  																																																	|-The branch is then unsatisfiable
% 46.35/15.71  																																															|-Branch two:
% 46.35/15.71  																																															| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 46.35/15.71  																																															|
% 46.35/15.71  																																																| Applying alpha-rule on (1700) yields:
% 46.35/15.71  																																																| (1701) all_0_56_56 = e1
% 46.35/15.71  																																																| (1702)  ~ (all_0_57_57 = e2)
% 46.35/15.71  																																																|
% 46.35/15.71  																																																| Combining equations (8110,1701) yields a new equation:
% 46.35/15.71  																																																| (408) e2 = e1
% 46.35/15.71  																																																|
% 46.35/15.71  																																																| Simplifying 408 yields:
% 46.35/15.71  																																																| (385) e2 = e1
% 46.35/15.71  																																																|
% 46.35/15.71  																																																| Equations (385) can reduce 243 to:
% 46.35/15.71  																																																| (311) $false
% 46.35/15.71  																																																|
% 46.35/15.71  																																																|-The branch is then unsatisfiable
% 46.35/15.71  																																														|-Branch two:
% 46.35/15.71  																																														| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 46.35/15.71  																																														|
% 46.35/15.71  																																															| Applying alpha-rule on (4957) yields:
% 46.35/15.71  																																															| (4958) all_0_58_58 = e0
% 46.35/15.71  																																															| (4959)  ~ (all_0_59_59 = e2)
% 46.35/15.71  																																															|
% 46.35/15.71  																																															| Combining equations (10941,4958) yields a new equation:
% 46.35/15.71  																																															| (1107) e1 = e0
% 46.35/15.71  																																															|
% 46.35/15.71  																																															| Simplifying 1107 yields:
% 46.35/15.71  																																															| (865) e1 = e0
% 46.35/15.71  																																															|
% 46.35/15.71  																																															| Equations (865) can reduce 264 to:
% 46.35/15.71  																																															| (311) $false
% 46.35/15.71  																																															|
% 46.35/15.71  																																															|-The branch is then unsatisfiable
% 46.35/15.71  																																													|-Branch two:
% 46.35/15.71  																																													| (1487)  ~ (all_0_91_91 = e0)
% 46.35/15.71  																																													| (1837) all_0_96_96 = e0
% 46.35/15.71  																																													|
% 46.35/15.71  																																														| Combining equations (1837,960) yields a new equation:
% 46.35/15.71  																																														| (865) e1 = e0
% 46.35/15.71  																																														|
% 46.35/15.71  																																														| Equations (865) can reduce 264 to:
% 46.35/15.71  																																														| (311) $false
% 46.35/15.71  																																														|
% 46.35/15.71  																																														|-The branch is then unsatisfiable
% 46.35/15.71  																																												|-Branch two:
% 46.35/15.71  																																												| (1479)  ~ (all_0_96_96 = e1)
% 46.35/15.71  																																												| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.35/15.71  																																												|
% 46.35/15.71  																																													+-Applying beta-rule and splitting (1726), into two cases.
% 46.35/15.71  																																													|-Branch one:
% 46.35/15.71  																																													| (801) all_0_91_91 = e1
% 46.35/15.71  																																													|
% 46.35/15.71  																																														| Equations (801) can reduce 959 to:
% 46.35/15.71  																																														| (311) $false
% 46.35/15.71  																																														|
% 46.35/15.71  																																														|-The branch is then unsatisfiable
% 46.35/15.71  																																													|-Branch two:
% 46.35/15.71  																																													| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.71  																																													| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.35/15.71  																																													|
% 46.35/15.71  																																														+-Applying beta-rule and splitting (1880), into two cases.
% 46.35/15.71  																																														|-Branch one:
% 46.35/15.71  																																														| (588) all_0_91_91 = e3
% 46.35/15.71  																																														|
% 46.35/15.71  																																															| Equations (588) can reduce 571 to:
% 46.35/15.71  																																															| (311) $false
% 46.35/15.71  																																															|
% 46.35/15.71  																																															|-The branch is then unsatisfiable
% 46.35/15.71  																																														|-Branch two:
% 46.35/15.71  																																														| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.71  																																														| (1456) all_0_91_91 = e0
% 46.35/15.71  																																														|
% 46.35/15.71  																																															| Equations (1456) can reduce 64 to:
% 46.35/15.71  																																															| (2296)  ~ (all_0_96_96 = e0)
% 46.35/15.71  																																															|
% 46.35/15.71  																																															| Simplifying 2296 yields:
% 46.35/15.71  																																															| (2095)  ~ (all_0_96_96 = e0)
% 46.35/15.71  																																															|
% 46.35/15.71  																																															+-Applying beta-rule and splitting (2016), into two cases.
% 46.35/15.71  																																															|-Branch one:
% 46.35/15.71  																																															| (778) all_0_96_96 = e3
% 46.35/15.71  																																															|
% 46.35/15.71  																																																| Equations (778) can reduce 964 to:
% 46.35/15.71  																																																| (311) $false
% 46.35/15.71  																																																|
% 46.35/15.71  																																																|-The branch is then unsatisfiable
% 46.35/15.71  																																															|-Branch two:
% 46.35/15.71  																																															| (964)  ~ (all_0_96_96 = e3)
% 46.35/15.71  																																															| (1837) all_0_96_96 = e0
% 46.35/15.71  																																															|
% 46.35/15.71  																																																| Equations (1837) can reduce 2095 to:
% 46.35/15.71  																																																| (311) $false
% 46.35/15.71  																																																|
% 46.35/15.71  																																																|-The branch is then unsatisfiable
% 46.35/15.71  																																								|-Branch two:
% 46.35/15.71  																																								| (2059)  ~ (all_0_98_98 = e0)
% 46.35/15.71  																																								| (2650) all_0_98_98 = e4
% 46.35/15.71  																																								|
% 46.35/15.71  																																									| Equations (2650) can reduce 321 to:
% 46.35/15.71  																																									| (311) $false
% 46.35/15.71  																																									|
% 46.35/15.71  																																									|-The branch is then unsatisfiable
% 46.35/15.71  																																					|-Branch two:
% 46.35/15.71  																																					| (678)  ~ (all_0_90_90 = e1)
% 46.35/15.71  																																					| (785) all_0_95_95 = e1
% 46.35/15.71  																																					|
% 46.35/15.71  																																						| Combining equations (744,785) yields a new equation:
% 46.35/15.71  																																						| (825) e3 = e1
% 46.35/15.71  																																						|
% 46.35/15.71  																																						| Simplifying 825 yields:
% 46.35/15.71  																																						| (772) e3 = e1
% 46.35/15.71  																																						|
% 46.35/15.71  																																						| Equations (772) can reduce 20 to:
% 46.35/15.71  																																						| (311) $false
% 46.35/15.71  																																						|
% 46.35/15.71  																																						|-The branch is then unsatisfiable
% 46.35/15.71  																																	|-Branch two:
% 46.35/15.71  																																	| (765)  ~ (all_0_95_95 = e3)
% 46.35/15.71  																																	| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 46.35/15.71  																																	|
% 46.35/15.71  																																		+-Applying beta-rule and splitting (220), into two cases.
% 46.35/15.71  																																		|-Branch one:
% 46.35/15.71  																																		| (771) all_0_78_78 = e3
% 46.35/15.71  																																		|
% 46.35/15.71  																																			| Combining equations (771,463) yields a new equation:
% 46.35/15.71  																																			| (434) e4 = e3
% 46.35/15.71  																																			|
% 46.35/15.71  																																			| Equations (434) can reduce 177 to:
% 46.35/15.71  																																			| (311) $false
% 46.35/15.71  																																			|
% 46.35/15.71  																																			|-The branch is then unsatisfiable
% 46.35/15.71  																																		|-Branch two:
% 46.35/15.71  																																		| (418)  ~ (all_0_78_78 = e3)
% 46.35/15.71  																																		| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.71  																																		|
% 46.35/15.71  																																			+-Applying beta-rule and splitting (775), into two cases.
% 46.35/15.71  																																			|-Branch one:
% 46.35/15.71  																																			| (789) all_0_82_82 = e3
% 46.35/15.71  																																			|
% 46.35/15.71  																																				| Combining equations (530,789) yields a new equation:
% 46.35/15.71  																																				| (548) e3 = e2
% 46.35/15.71  																																				|
% 46.35/15.71  																																				| Equations (548) can reduce 169 to:
% 46.35/15.71  																																				| (311) $false
% 46.35/15.71  																																				|
% 46.35/15.71  																																				|-The branch is then unsatisfiable
% 46.35/15.71  																																			|-Branch two:
% 46.35/15.71  																																			| (793)  ~ (all_0_82_82 = e3)
% 46.35/15.71  																																			| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.71  																																			|
% 46.35/15.71  																																				+-Applying beta-rule and splitting (794), into two cases.
% 46.35/15.71  																																				|-Branch one:
% 46.35/15.71  																																				| (754) all_0_90_90 = e3
% 46.35/15.71  																																				|
% 46.35/15.71  																																					| Equations (754) can reduce 745 to:
% 46.35/15.71  																																					| (311) $false
% 46.35/15.71  																																					|
% 46.35/15.71  																																					|-The branch is then unsatisfiable
% 46.35/15.71  																																				|-Branch two:
% 46.35/15.72  																																				| (745)  ~ (all_0_90_90 = e3)
% 46.35/15.72  																																				| (744) all_0_95_95 = e3
% 46.35/15.72  																																				|
% 46.35/15.72  																																					| Equations (744) can reduce 765 to:
% 46.35/15.72  																																					| (311) $false
% 46.35/15.72  																																					|
% 46.35/15.72  																																					|-The branch is then unsatisfiable
% 46.35/15.72  																																|-Branch two:
% 46.35/15.72  																																| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.72  																																| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.72  																																|
% 46.35/15.72  																																	+-Applying beta-rule and splitting (1268), into two cases.
% 46.35/15.72  																																	|-Branch one:
% 46.35/15.72  																																	| (916) all_0_84_84 = e0
% 46.35/15.72  																																	|
% 46.35/15.72  																																		| Equations (916) can reduce 919 to:
% 46.35/15.72  																																		| (311) $false
% 46.35/15.72  																																		|
% 46.35/15.72  																																		|-The branch is then unsatisfiable
% 46.35/15.72  																																	|-Branch two:
% 46.35/15.72  																																	| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.72  																																	| (438) all_0_84_84 = e4
% 46.35/15.72  																																	|
% 46.35/15.72  																																		| Equations (438) can reduce 417 to:
% 46.35/15.72  																																		| (311) $false
% 46.35/15.72  																																		|
% 46.35/15.72  																																		|-The branch is then unsatisfiable
% 46.35/15.72  																															|-Branch two:
% 46.35/15.72  																															| (298)  ~ (all_0_92_92 = e2)
% 46.35/15.72  																															| (522) all_0_93_93 = e2
% 46.35/15.72  																															|
% 46.35/15.72  																																| Equations (522) can reduce 300 to:
% 46.35/15.72  																																| (311) $false
% 46.35/15.72  																																|
% 46.35/15.72  																																|-The branch is then unsatisfiable
% 46.35/15.72  																										|-Branch two:
% 46.35/15.72  																										| (779)  ~ (all_0_83_83 = e3)
% 46.35/15.72  																										| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.35/15.72  																										|
% 46.35/15.72  																											+-Applying beta-rule and splitting (1594), into two cases.
% 46.35/15.72  																											|-Branch one:
% 46.35/15.72  																											| (1265) all_0_84_84 = e3
% 46.35/15.72  																											|
% 46.35/15.72  																												| Equations (1265) can reduce 422 to:
% 46.35/15.72  																												| (311) $false
% 46.35/15.72  																												|
% 46.35/15.72  																												|-The branch is then unsatisfiable
% 46.35/15.72  																											|-Branch two:
% 46.35/15.72  																											| (422)  ~ (all_0_84_84 = e3)
% 46.35/15.72  																											| (804) all_0_85_85 = e3
% 46.35/15.72  																											|
% 46.35/15.72  																												| Combining equations (493,804) yields a new equation:
% 46.35/15.72  																												| (790) e4 = e3
% 46.35/15.72  																												|
% 46.35/15.72  																												| Simplifying 790 yields:
% 46.35/15.72  																												| (434) e4 = e3
% 46.35/15.72  																												|
% 46.35/15.72  																												| Equations (434) can reduce 177 to:
% 46.35/15.72  																												| (311) $false
% 46.35/15.72  																												|
% 46.35/15.72  																												|-The branch is then unsatisfiable
% 46.35/15.72  																							|-Branch two:
% 46.35/15.72  																							| (347)  ~ (all_0_82_82 = e2)
% 46.35/15.72  																							| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 46.35/15.72  																							|
% 46.35/15.72  																								+-Applying beta-rule and splitting (533), into two cases.
% 46.35/15.72  																								|-Branch one:
% 46.35/15.72  																								| (453) all_0_83_83 = e2
% 46.35/15.72  																								|
% 46.35/15.72  																									| Equations (453) can reduce 398 to:
% 46.35/15.72  																									| (311) $false
% 46.35/15.72  																									|
% 46.35/15.72  																									|-The branch is then unsatisfiable
% 46.35/15.72  																								|-Branch two:
% 46.35/15.72  																								| (398)  ~ (all_0_83_83 = e2)
% 46.35/15.72  																								| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 46.35/15.72  																								|
% 46.35/15.72  																									+-Applying beta-rule and splitting (10), into two cases.
% 46.35/15.72  																									|-Branch one:
% 46.35/15.72  																									| (530) all_0_82_82 = e2
% 46.35/15.72  																									|
% 46.35/15.72  																										| Equations (530) can reduce 347 to:
% 46.35/15.72  																										| (311) $false
% 46.35/15.72  																										|
% 46.35/15.72  																										|-The branch is then unsatisfiable
% 46.35/15.72  																									|-Branch two:
% 46.35/15.72  																									| (347)  ~ (all_0_82_82 = e2)
% 46.35/15.72  																									| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.35/15.72  																									|
% 46.35/15.72  																										+-Applying beta-rule and splitting (2205), into two cases.
% 46.35/15.72  																										|-Branch one:
% 46.35/15.72  																										| (789) all_0_82_82 = e3
% 46.35/15.72  																										|
% 46.35/15.72  																											| Equations (789) can reduce 116 to:
% 46.35/15.72  																											| (12083)  ~ (all_0_83_83 = e3)
% 46.35/15.72  																											|
% 46.35/15.72  																											| Simplifying 12083 yields:
% 46.35/15.72  																											| (779)  ~ (all_0_83_83 = e3)
% 46.35/15.72  																											|
% 46.35/15.72  																											| Equations (789) can reduce 465 to:
% 46.35/15.72  																											| (783)  ~ (e4 = e3)
% 46.35/15.72  																											|
% 46.35/15.72  																											| Simplifying 783 yields:
% 46.35/15.72  																											| (177)  ~ (e4 = e3)
% 46.35/15.72  																											|
% 46.35/15.72  																											| Equations (789) can reduce 347 to:
% 46.35/15.72  																											| (169)  ~ (e3 = e2)
% 46.35/15.72  																											|
% 46.35/15.72  																											| Equations (789) can reduce 198 to:
% 46.35/15.72  																											| (20)  ~ (e3 = e1)
% 46.35/15.72  																											|
% 46.35/15.72  																											+-Applying beta-rule and splitting (246), into two cases.
% 46.35/15.72  																											|-Branch one:
% 46.35/15.72  																											| (400) all_0_78_78 = e2
% 46.35/15.72  																											|
% 46.35/15.72  																												| Combining equations (463,400) yields a new equation:
% 46.35/15.72  																												| (309) e4 = e2
% 46.35/15.72  																												|
% 46.35/15.72  																												| Simplifying 309 yields:
% 46.35/15.72  																												| (310) e4 = e2
% 46.35/15.72  																												|
% 46.35/15.72  																												| Equations (310) can reduce 79 to:
% 46.35/15.72  																												| (311) $false
% 46.35/15.72  																												|
% 46.35/15.72  																												|-The branch is then unsatisfiable
% 46.35/15.72  																											|-Branch two:
% 46.35/15.72  																											| (346)  ~ (all_0_78_78 = e2)
% 46.35/15.72  																											| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.35/15.72  																											|
% 46.35/15.72  																												| Equations (463) can reduce 346 to:
% 46.35/15.72  																												| (79)  ~ (e4 = e2)
% 46.35/15.72  																												|
% 46.35/15.72  																												+-Applying beta-rule and splitting (13415), into two cases.
% 46.35/15.72  																												|-Branch one:
% 46.35/15.72  																												| (530) all_0_82_82 = e2
% 46.35/15.72  																												|
% 46.35/15.72  																													| Combining equations (789,530) yields a new equation:
% 46.35/15.72  																													| (547) e3 = e2
% 46.35/15.72  																													|
% 46.35/15.72  																													| Simplifying 547 yields:
% 46.35/15.72  																													| (548) e3 = e2
% 46.35/15.72  																													|
% 46.35/15.72  																													| Equations (548) can reduce 169 to:
% 46.35/15.72  																													| (311) $false
% 46.35/15.72  																													|
% 46.35/15.72  																													|-The branch is then unsatisfiable
% 46.35/15.72  																												|-Branch two:
% 46.35/15.72  																												| (347)  ~ (all_0_82_82 = e2)
% 46.35/15.72  																												| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 46.35/15.72  																												|
% 46.35/15.72  																													+-Applying beta-rule and splitting (13419), into two cases.
% 46.35/15.72  																													|-Branch one:
% 46.35/15.72  																													| (345) all_0_86_86 = e2
% 46.35/15.72  																													|
% 46.35/15.72  																														| Combining equations (378,345) yields a new equation:
% 46.35/15.72  																														| (379) e2 = e0
% 46.35/15.72  																														|
% 46.35/15.72  																														| Equations (379) can reduce 76 to:
% 46.35/15.72  																														| (311) $false
% 46.35/15.72  																														|
% 46.35/15.72  																														|-The branch is then unsatisfiable
% 46.35/15.72  																													|-Branch two:
% 46.35/15.72  																													| (9507)  ~ (all_0_86_86 = e2)
% 46.35/15.72  																													| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 46.35/15.72  																													|
% 46.35/15.72  																														| Equations (378) can reduce 9507 to:
% 46.35/15.72  																														| (510)  ~ (e2 = e0)
% 46.35/15.72  																														|
% 46.35/15.72  																														| Simplifying 510 yields:
% 46.35/15.72  																														| (76)  ~ (e2 = e0)
% 46.35/15.72  																														|
% 46.35/15.72  																														+-Applying beta-rule and splitting (537), into two cases.
% 46.35/15.72  																														|-Branch one:
% 46.35/15.72  																														| (552) all_0_84_84 = e2
% 46.35/15.72  																														|
% 46.35/15.72  																															| Equations (552) can reduce 87 to:
% 46.35/15.72  																															| (297)  ~ (all_0_92_92 = e2)
% 46.35/15.72  																															|
% 46.35/15.72  																															| Simplifying 297 yields:
% 46.35/15.72  																															| (298)  ~ (all_0_92_92 = e2)
% 46.35/15.72  																															|
% 46.35/15.72  																															| Equations (552) can reduce 417 to:
% 46.35/15.72  																															| (528)  ~ (e4 = e2)
% 46.35/15.72  																															|
% 46.35/15.72  																															| Simplifying 528 yields:
% 46.35/15.72  																															| (79)  ~ (e4 = e2)
% 46.35/15.72  																															|
% 46.35/15.72  																															| From (552) and (5563) follows:
% 46.35/15.72  																															| (22909) op(e1, e2) = e3
% 46.35/15.72  																															|
% 46.35/15.72  																															+-Applying beta-rule and splitting (2), into two cases.
% 46.35/15.72  																															|-Branch one:
% 46.35/15.72  																															| (916) all_0_84_84 = e0
% 46.35/15.72  																															|
% 46.35/15.72  																																| Combining equations (552,916) yields a new equation:
% 46.35/15.72  																																| (923) e2 = e0
% 46.35/15.72  																																|
% 46.35/15.72  																																| Simplifying 923 yields:
% 46.35/15.72  																																| (379) e2 = e0
% 46.35/15.72  																																|
% 46.35/15.72  																																| Equations (379) can reduce 76 to:
% 46.35/15.72  																																| (311) $false
% 46.35/15.72  																																|
% 46.35/15.72  																																|-The branch is then unsatisfiable
% 46.35/15.72  																															|-Branch two:
% 46.35/15.72  																															| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.72  																															| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.72  																															|
% 46.35/15.72  																																+-Applying beta-rule and splitting (119), into two cases.
% 46.35/15.72  																																|-Branch one:
% 46.35/15.72  																																| (1343) all_0_92_92 = e2
% 46.35/15.72  																																|
% 46.35/15.72  																																	| Equations (1343) can reduce 298 to:
% 46.35/15.72  																																	| (311) $false
% 46.35/15.72  																																	|
% 46.35/15.72  																																	|-The branch is then unsatisfiable
% 46.35/15.72  																																|-Branch two:
% 46.35/15.72  																																| (298)  ~ (all_0_92_92 = e2)
% 46.35/15.72  																																| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.35/15.72  																																|
% 46.35/15.72  																																	+-Applying beta-rule and splitting (920), into two cases.
% 46.35/15.72  																																	|-Branch one:
% 46.35/15.72  																																	| (861) all_0_87_87 = e0
% 46.35/15.72  																																	|
% 46.35/15.72  																																		| Combining equations (861,482) yields a new equation:
% 46.35/15.72  																																		| (865) e1 = e0
% 46.35/15.72  																																		|
% 46.35/15.73  																																		| Equations (865) can reduce 264 to:
% 46.35/15.73  																																		| (311) $false
% 46.35/15.73  																																		|
% 46.35/15.73  																																		|-The branch is then unsatisfiable
% 46.35/15.73  																																	|-Branch two:
% 46.35/15.73  																																	| (889)  ~ (all_0_87_87 = e0)
% 46.35/15.73  																																	| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.73  																																	|
% 46.35/15.73  																																		+-Applying beta-rule and splitting (931), into two cases.
% 46.35/15.73  																																		|-Branch one:
% 46.35/15.73  																																		| (942) all_0_92_92 = e0
% 46.35/15.73  																																		|
% 46.35/15.73  																																			| Equations (942) can reduce 265 to:
% 46.35/15.73  																																			| (1487)  ~ (all_0_91_91 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Equations (942) can reduce 283 to:
% 46.35/15.73  																																			| (508)  ~ (all_0_93_93 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Simplifying 508 yields:
% 46.35/15.73  																																			| (509)  ~ (all_0_93_93 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Equations (942) can reduce 1619 to:
% 46.35/15.73  																																			| (904)  ~ (e4 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Simplifying 904 yields:
% 46.35/15.73  																																			| (23)  ~ (e4 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Equations (942) can reduce 298 to:
% 46.35/15.73  																																			| (510)  ~ (e2 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			| Simplifying 510 yields:
% 46.35/15.73  																																			| (76)  ~ (e2 = e0)
% 46.35/15.73  																																			|
% 46.35/15.73  																																			+-Applying beta-rule and splitting (289), into two cases.
% 46.35/15.73  																																			|-Branch one:
% 46.35/15.73  																																			| (954) all_0_85_85 = e0
% 46.35/15.73  																																			|
% 46.35/15.73  																																				| Combining equations (493,954) yields a new equation:
% 46.35/15.73  																																				| (911) e4 = e0
% 46.35/15.73  																																				|
% 46.35/15.73  																																				| Simplifying 911 yields:
% 46.35/15.73  																																				| (912) e4 = e0
% 46.35/15.73  																																				|
% 46.35/15.73  																																				| Equations (912) can reduce 23 to:
% 46.35/15.73  																																				| (311) $false
% 46.35/15.73  																																				|
% 46.35/15.73  																																				|-The branch is then unsatisfiable
% 46.35/15.73  																																			|-Branch two:
% 46.35/15.73  																																			| (800)  ~ (all_0_85_85 = e0)
% 46.35/15.73  																																			| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.35/15.73  																																			|
% 46.35/15.73  																																				+-Applying beta-rule and splitting (1077), into two cases.
% 46.35/15.73  																																				|-Branch one:
% 46.35/15.73  																																				| (507) all_0_88_88 = e0
% 46.35/15.73  																																				|
% 46.35/15.73  																																					| Combining equations (507,370) yields a new equation:
% 46.35/15.73  																																					| (379) e2 = e0
% 46.35/15.73  																																					|
% 46.35/15.73  																																					| Equations (379) can reduce 76 to:
% 46.35/15.73  																																					| (311) $false
% 46.35/15.73  																																					|
% 46.35/15.73  																																					|-The branch is then unsatisfiable
% 46.35/15.73  																																				|-Branch two:
% 46.35/15.73  																																				| (1110)  ~ (all_0_88_88 = e0)
% 46.35/15.73  																																				| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.35/15.73  																																				|
% 46.35/15.73  																																					+-Applying beta-rule and splitting (1111), into two cases.
% 46.35/15.73  																																					|-Branch one:
% 46.35/15.73  																																					| (604) all_0_93_93 = e0
% 46.35/15.73  																																					|
% 46.35/15.73  																																						| Equations (604) can reduce 509 to:
% 46.35/15.73  																																						| (311) $false
% 46.35/15.73  																																						|
% 46.35/15.73  																																						|-The branch is then unsatisfiable
% 46.35/15.73  																																					|-Branch two:
% 46.35/15.73  																																					| (509)  ~ (all_0_93_93 = e0)
% 46.35/15.73  																																					| (1121) all_0_98_98 = e0
% 46.35/15.73  																																					|
% 46.35/15.73  																																						| Equations (1121) can reduce 13 to:
% 46.35/15.73  																																						| (509)  ~ (all_0_93_93 = e0)
% 46.35/15.73  																																						|
% 46.35/15.73  																																						| Equations (1121) can reduce 43 to:
% 46.35/15.73  																																						| (2095)  ~ (all_0_96_96 = e0)
% 46.35/15.73  																																						|
% 46.35/15.73  																																						+-Applying beta-rule and splitting (219), into two cases.
% 46.35/15.73  																																						|-Branch one:
% 46.35/15.73  																																						| (798) all_0_83_83 = e0
% 46.35/15.73  																																						|
% 46.35/15.73  																																							| Equations (798) can reduce 146 to:
% 46.35/15.73  																																							| (1830)  ~ (all_0_91_91 = e0)
% 46.35/15.73  																																							|
% 46.35/15.73  																																							| Simplifying 1830 yields:
% 46.35/15.73  																																							| (1487)  ~ (all_0_91_91 = e0)
% 46.35/15.73  																																							|
% 46.35/15.73  																																							| Equations (798) can reduce 779 to:
% 46.35/15.73  																																							| (906)  ~ (e3 = e0)
% 46.35/15.73  																																							|
% 46.35/15.73  																																							| Simplifying 906 yields:
% 46.35/15.73  																																							| (50)  ~ (e3 = e0)
% 46.35/15.73  																																							|
% 46.35/15.73  																																							+-Applying beta-rule and splitting (65), into two cases.
% 46.35/15.73  																																							|-Branch one:
% 46.35/15.73  																																							| (522) all_0_93_93 = e2
% 46.35/15.73  																																							|
% 46.35/15.73  																																								| Equations (522) can reduce 300 to:
% 46.35/15.73  																																								| (311) $false
% 46.35/15.73  																																								|
% 46.35/15.73  																																								|-The branch is then unsatisfiable
% 46.35/15.73  																																							|-Branch two:
% 46.35/15.73  																																							| (300)  ~ (all_0_93_93 = e2)
% 46.35/15.73  																																							| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 46.35/15.73  																																							|
% 46.35/15.73  																																								+-Applying beta-rule and splitting (250), into two cases.
% 46.35/15.73  																																								|-Branch one:
% 46.35/15.73  																																								| (635) all_0_81_81 = e3
% 46.35/15.73  																																								|
% 46.35/15.73  																																									| Combining equations (635,477) yields a new equation:
% 46.35/15.73  																																									| (825) e3 = e1
% 46.35/15.73  																																									|
% 46.35/15.73  																																									| Simplifying 825 yields:
% 46.35/15.73  																																									| (772) e3 = e1
% 46.35/15.73  																																									|
% 46.35/15.73  																																									| Equations (772) can reduce 20 to:
% 46.35/15.73  																																									| (311) $false
% 46.35/15.73  																																									|
% 46.35/15.73  																																									|-The branch is then unsatisfiable
% 46.35/15.73  																																								|-Branch two:
% 46.35/15.73  																																								| (420)  ~ (all_0_81_81 = e3)
% 46.35/15.73  																																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.35/15.73  																																								|
% 46.35/15.73  																																									+-Applying beta-rule and splitting (99), into two cases.
% 46.35/15.73  																																									|-Branch one:
% 46.35/15.73  																																									| (767) all_0_95_95 = e2
% 46.35/15.73  																																									|
% 46.35/15.73  																																										| Equations (767) can reduce 355 to:
% 46.35/15.73  																																										| (311) $false
% 46.35/15.73  																																										|
% 46.35/15.73  																																										|-The branch is then unsatisfiable
% 46.35/15.73  																																									|-Branch two:
% 46.35/15.73  																																									| (355)  ~ (all_0_95_95 = e2)
% 46.35/15.73  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.35/15.73  																																									|
% 46.35/15.73  																																										+-Applying beta-rule and splitting (565), into two cases.
% 46.35/15.73  																																										|-Branch one:
% 46.35/15.73  																																										| (566) all_0_93_93 = e1
% 46.35/15.73  																																										|
% 46.35/15.73  																																											| Equations (566) can reduce 481 to:
% 46.35/15.73  																																											| (311) $false
% 46.35/15.73  																																											|
% 46.35/15.73  																																											|-The branch is then unsatisfiable
% 46.35/15.73  																																										|-Branch two:
% 46.35/15.73  																																										| (481)  ~ (all_0_93_93 = e1)
% 46.35/15.73  																																										| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 46.35/15.73  																																										|
% 46.35/15.73  																																											+-Applying beta-rule and splitting (569), into two cases.
% 46.35/15.73  																																											|-Branch one:
% 46.35/15.73  																																											| (570) all_0_93_93 = e3
% 46.35/15.73  																																											|
% 46.35/15.73  																																												| Equations (570) can reduce 44 to:
% 46.35/15.73  																																												| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.73  																																												|
% 46.35/15.73  																																												| Equations (570) can reduce 300 to:
% 46.35/15.73  																																												| (169)  ~ (e3 = e2)
% 46.35/15.73  																																												|
% 46.35/15.73  																																												| Equations (570) can reduce 509 to:
% 46.35/15.73  																																												| (50)  ~ (e3 = e0)
% 46.35/15.73  																																												|
% 46.35/15.73  																																												+-Applying beta-rule and splitting (284), into two cases.
% 46.35/15.73  																																												|-Branch one:
% 46.35/15.73  																																												| (1723) all_0_91_91 = e2
% 46.35/15.73  																																												|
% 46.35/15.73  																																													| Equations (1723) can reduce 296 to:
% 46.35/15.73  																																													| (311) $false
% 46.35/15.73  																																													|
% 46.35/15.73  																																													|-The branch is then unsatisfiable
% 46.35/15.73  																																												|-Branch two:
% 46.35/15.73  																																												| (296)  ~ (all_0_91_91 = e2)
% 46.35/15.73  																																												| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.35/15.73  																																												|
% 46.35/15.73  																																													+-Applying beta-rule and splitting (285), into two cases.
% 46.35/15.73  																																													|-Branch one:
% 46.35/15.73  																																													| (1708) all_0_79_79 = e3
% 46.35/15.73  																																													|
% 46.35/15.73  																																														| Combining equations (1708,390) yields a new equation:
% 46.35/15.73  																																														| (547) e3 = e2
% 46.35/15.73  																																														|
% 46.35/15.73  																																														| Simplifying 547 yields:
% 46.35/15.73  																																														| (548) e3 = e2
% 46.35/15.73  																																														|
% 46.35/15.73  																																														| Equations (548) can reduce 169 to:
% 46.35/15.73  																																														| (311) $false
% 46.35/15.73  																																														|
% 46.35/15.73  																																														|-The branch is then unsatisfiable
% 46.35/15.73  																																													|-Branch two:
% 46.35/15.73  																																													| (1711)  ~ (all_0_79_79 = e3)
% 46.35/15.73  																																													| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 46.35/15.73  																																													|
% 46.35/15.73  																																														+-Applying beta-rule and splitting (1712), into two cases.
% 46.35/15.73  																																														|-Branch one:
% 46.35/15.73  																																														| (795) all_0_83_83 = e3
% 46.35/15.73  																																														|
% 46.35/15.73  																																															| Combining equations (798,795) yields a new equation:
% 46.35/15.73  																																															| (600) e3 = e0
% 46.35/15.73  																																															|
% 46.35/15.73  																																															| Equations (600) can reduce 50 to:
% 46.35/15.73  																																															| (311) $false
% 46.35/15.73  																																															|
% 46.35/15.73  																																															|-The branch is then unsatisfiable
% 46.35/15.73  																																														|-Branch two:
% 46.35/15.73  																																														| (779)  ~ (all_0_83_83 = e3)
% 46.35/15.73  																																														| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 46.35/15.73  																																														|
% 46.35/15.73  																																															+-Applying beta-rule and splitting (236), into two cases.
% 46.35/15.73  																																															|-Branch one:
% 46.35/15.73  																																															| (292) all_0_89_89 = e2
% 46.35/15.73  																																															|
% 46.35/15.73  																																																| Combining equations (292,308) yields a new equation:
% 46.35/15.73  																																																| (310) e4 = e2
% 46.35/15.73  																																																|
% 46.35/15.73  																																																| Equations (310) can reduce 79 to:
% 46.35/15.73  																																																| (311) $false
% 46.35/15.73  																																																|
% 46.35/15.73  																																																|-The branch is then unsatisfiable
% 46.35/15.73  																																															|-Branch two:
% 46.35/15.73  																																															| (30522)  ~ (all_0_89_89 = e2)
% 46.35/15.73  																																															| (30794) all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.35/15.73  																																															|
% 46.35/15.73  																																																+-Applying beta-rule and splitting (1842), into two cases.
% 46.35/15.73  																																																|-Branch one:
% 46.35/15.73  																																																| (588) all_0_91_91 = e3
% 46.35/15.73  																																																|
% 46.35/15.73  																																																	| Equations (588) can reduce 571 to:
% 46.35/15.73  																																																	| (311) $false
% 46.35/15.73  																																																	|
% 46.35/15.73  																																																	|-The branch is then unsatisfiable
% 46.35/15.73  																																																|-Branch two:
% 46.35/15.73  																																																| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.73  																																																| (778) all_0_96_96 = e3
% 46.35/15.73  																																																|
% 46.35/15.73  																																																	| Equations (778) can reduce 64 to:
% 46.35/15.73  																																																	| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.73  																																																	|
% 46.35/15.73  																																																	| Equations (778) can reduce 279 to:
% 46.35/15.73  																																																	| (765)  ~ (all_0_95_95 = e3)
% 46.35/15.73  																																																	|
% 46.35/15.73  																																																	+-Applying beta-rule and splitting (176), into two cases.
% 46.35/15.73  																																																	|-Branch one:
% 46.35/15.73  																																																	| (785) all_0_95_95 = e1
% 46.35/15.73  																																																	|
% 46.35/15.73  																																																		| Equations (785) can reduce 765 to:
% 46.35/15.73  																																																		| (683)  ~ (e3 = e1)
% 46.35/15.73  																																																		|
% 46.35/15.73  																																																		| Simplifying 683 yields:
% 46.35/15.73  																																																		| (20)  ~ (e3 = e1)
% 46.35/15.73  																																																		|
% 46.35/15.73  																																																		| Equations (785) can reduce 355 to:
% 46.35/15.73  																																																		| (487)  ~ (e2 = e1)
% 46.35/15.73  																																																		|
% 46.35/15.73  																																																		| Simplifying 487 yields:
% 46.35/15.73  																																																		| (243)  ~ (e2 = e1)
% 46.35/15.73  																																																		|
% 46.35/15.73  																																																		+-Applying beta-rule and splitting (30794), into two cases.
% 46.35/15.73  																																																		|-Branch one:
% 46.35/15.73  																																																		| (746) all_0_90_90 = e2
% 46.35/15.73  																																																		|
% 46.35/15.73  																																																			| From (746) and (35) follows:
% 46.35/15.73  																																																			| (32320) op(e1, e2) = all_0_49_49
% 46.35/15.73  																																																			|
% 46.35/15.73  																																																			+-Applying beta-rule and splitting (462), into two cases.
% 46.35/15.73  																																																			|-Branch one:
% 46.35/15.73  																																																			| (801) all_0_91_91 = e1
% 46.35/15.73  																																																			|
% 46.35/15.73  																																																				| Equations (801) can reduce 571 to:
% 46.35/15.73  																																																				| (683)  ~ (e3 = e1)
% 46.35/15.73  																																																				|
% 46.35/15.73  																																																				| Simplifying 683 yields:
% 46.35/15.73  																																																				| (20)  ~ (e3 = e1)
% 46.35/15.73  																																																				|
% 46.35/15.73  																																																				| From (801) and (3) follows:
% 46.35/15.73  																																																				| (18983) op(e1, e2) = e1
% 46.35/15.73  																																																				|
% 46.35/15.73  																																																				| Instantiating formula (262) with e1, e2, e3, all_0_49_49 and discharging atoms op(e1, e2) = all_0_49_49, op(e1, e2) = e3, yields:
% 46.35/15.73  																																																				| (8782) all_0_49_49 = e3
% 46.35/15.73  																																																				|
% 46.35/15.73  																																																				| Instantiating formula (262) with e1, e2, e1, all_0_49_49 and discharging atoms op(e1, e2) = all_0_49_49, op(e1, e2) = e1, yields:
% 46.35/15.74  																																																				| (33020) all_0_49_49 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Combining equations (8782,33020) yields a new equation:
% 46.35/15.74  																																																				| (825) e3 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Simplifying 825 yields:
% 46.35/15.74  																																																				| (772) e3 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Equations (772) can reduce 20 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																																			|-Branch two:
% 46.35/15.74  																																																			| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.74  																																																			| (960) all_0_96_96 = e1
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				| Combining equations (778,960) yields a new equation:
% 46.35/15.74  																																																				| (825) e3 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Simplifying 825 yields:
% 46.35/15.74  																																																				| (772) e3 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Equations (772) can reduce 20 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																																		|-Branch two:
% 46.35/15.74  																																																		| (294)  ~ (all_0_90_90 = e2)
% 46.35/15.74  																																																		| (30798) all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 46.35/15.74  																																																		|
% 46.35/15.74  																																																			+-Applying beta-rule and splitting (27), into two cases.
% 46.35/15.74  																																																			|-Branch one:
% 46.35/15.74  																																																			| (746) all_0_90_90 = e2
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				| Equations (746) can reduce 294 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																																			|-Branch two:
% 46.35/15.74  																																																			| (294)  ~ (all_0_90_90 = e2)
% 46.35/15.74  																																																			| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				+-Applying beta-rule and splitting (13424), into two cases.
% 46.35/15.74  																																																				|-Branch one:
% 46.35/15.74  																																																				| (746) all_0_90_90 = e2
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																					| Equations (746) can reduce 294 to:
% 46.35/15.74  																																																					| (311) $false
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					|-The branch is then unsatisfiable
% 46.35/15.74  																																																				|-Branch two:
% 46.35/15.74  																																																				| (294)  ~ (all_0_90_90 = e2)
% 46.35/15.74  																																																				| (767) all_0_95_95 = e2
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																					| Combining equations (785,767) yields a new equation:
% 46.35/15.74  																																																					| (385) e2 = e1
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					| Equations (385) can reduce 243 to:
% 46.35/15.74  																																																					| (311) $false
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					|-The branch is then unsatisfiable
% 46.35/15.74  																																																	|-Branch two:
% 46.35/15.74  																																																	| (680)  ~ (all_0_95_95 = e1)
% 46.35/15.74  																																																	| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.35/15.74  																																																	|
% 46.35/15.74  																																																		+-Applying beta-rule and splitting (1726), into two cases.
% 46.35/15.74  																																																		|-Branch one:
% 46.35/15.74  																																																		| (801) all_0_91_91 = e1
% 46.35/15.74  																																																		|
% 46.35/15.74  																																																			| Equations (801) can reduce 133 to:
% 46.35/15.74  																																																			| (681)  ~ (e4 = e1)
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																			| Simplifying 681 yields:
% 46.35/15.74  																																																			| (256)  ~ (e4 = e1)
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																			| Equations (801) can reduce 571 to:
% 46.35/15.74  																																																			| (683)  ~ (e3 = e1)
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																			| Simplifying 683 yields:
% 46.35/15.74  																																																			| (20)  ~ (e3 = e1)
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																			| Equations (801) can reduce 1487 to:
% 46.35/15.74  																																																			| (264)  ~ (e1 = e0)
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																			+-Applying beta-rule and splitting (788), into two cases.
% 46.35/15.74  																																																			|-Branch one:
% 46.35/15.74  																																																			| (960) all_0_96_96 = e1
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				| Combining equations (960,778) yields a new equation:
% 46.35/15.74  																																																				| (772) e3 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				| Equations (772) can reduce 20 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																																			|-Branch two:
% 46.35/15.74  																																																			| (1479)  ~ (all_0_96_96 = e1)
% 46.35/15.74  																																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				+-Applying beta-rule and splitting (2126), into two cases.
% 46.35/15.74  																																																				|-Branch one:
% 46.35/15.74  																																																				| (542) all_0_97_97 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																					| Combining equations (610,542) yields a new equation:
% 46.35/15.74  																																																					| (813) e4 = e1
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					| Simplifying 813 yields:
% 46.35/15.74  																																																					| (814) e4 = e1
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					| Equations (814) can reduce 256 to:
% 46.35/15.74  																																																					| (311) $false
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					|-The branch is then unsatisfiable
% 46.35/15.74  																																																				|-Branch two:
% 46.35/15.74  																																																				| (486)  ~ (all_0_97_97 = e1)
% 46.35/15.74  																																																				| (1543) all_0_98_98 = e1
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																					| Combining equations (1121,1543) yields a new equation:
% 46.35/15.74  																																																					| (865) e1 = e0
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					| Equations (865) can reduce 264 to:
% 46.35/15.74  																																																					| (311) $false
% 46.35/15.74  																																																					|
% 46.35/15.74  																																																					|-The branch is then unsatisfiable
% 46.35/15.74  																																																		|-Branch two:
% 46.35/15.74  																																																		| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.74  																																																		| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.35/15.74  																																																		|
% 46.35/15.74  																																																			+-Applying beta-rule and splitting (1880), into two cases.
% 46.35/15.74  																																																			|-Branch one:
% 46.35/15.74  																																																			| (588) all_0_91_91 = e3
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				| Equations (588) can reduce 571 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																																			|-Branch two:
% 46.35/15.74  																																																			| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.74  																																																			| (1456) all_0_91_91 = e0
% 46.35/15.74  																																																			|
% 46.35/15.74  																																																				| Equations (1456) can reduce 1487 to:
% 46.35/15.74  																																																				| (311) $false
% 46.35/15.74  																																																				|
% 46.35/15.74  																																																				|-The branch is then unsatisfiable
% 46.35/15.74  																																											|-Branch two:
% 46.35/15.74  																																											| (602)  ~ (all_0_93_93 = e3)
% 46.35/15.74  																																											| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 46.35/15.74  																																											|
% 46.35/15.74  																																												+-Applying beta-rule and splitting (4488), into two cases.
% 46.35/15.74  																																												|-Branch one:
% 46.35/15.74  																																												| (804) all_0_85_85 = e3
% 46.35/15.74  																																												|
% 46.35/15.74  																																													| Combining equations (493,804) yields a new equation:
% 46.35/15.74  																																													| (790) e4 = e3
% 46.35/15.74  																																													|
% 46.35/15.74  																																													| Simplifying 790 yields:
% 46.35/15.74  																																													| (434) e4 = e3
% 46.35/15.74  																																													|
% 46.35/15.74  																																													| Equations (434) can reduce 177 to:
% 46.35/15.74  																																													| (311) $false
% 46.35/15.74  																																													|
% 46.35/15.74  																																													|-The branch is then unsatisfiable
% 46.35/15.74  																																												|-Branch two:
% 46.35/15.74  																																												| (952)  ~ (all_0_85_85 = e3)
% 46.35/15.74  																																												| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.35/15.74  																																												|
% 46.35/15.74  																																													+-Applying beta-rule and splitting (4559), into two cases.
% 46.35/15.74  																																													|-Branch one:
% 46.35/15.74  																																													| (570) all_0_93_93 = e3
% 46.35/15.74  																																													|
% 46.35/15.74  																																														| Equations (570) can reduce 602 to:
% 46.35/15.74  																																														| (311) $false
% 46.35/15.74  																																														|
% 46.35/15.74  																																														|-The branch is then unsatisfiable
% 46.35/15.74  																																													|-Branch two:
% 46.35/15.74  																																													| (602)  ~ (all_0_93_93 = e3)
% 46.35/15.74  																																													| (969) all_0_98_98 = e3
% 46.35/15.74  																																													|
% 46.35/15.74  																																														| Combining equations (1121,969) yields a new equation:
% 46.35/15.74  																																														| (600) e3 = e0
% 46.35/15.74  																																														|
% 46.35/15.74  																																														| Equations (600) can reduce 50 to:
% 46.35/15.74  																																														| (311) $false
% 46.35/15.74  																																														|
% 46.35/15.74  																																														|-The branch is then unsatisfiable
% 46.35/15.74  																																						|-Branch two:
% 46.35/15.74  																																						| (1314)  ~ (all_0_83_83 = e0)
% 46.35/15.74  																																						| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.35/15.74  																																						|
% 46.35/15.74  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 46.35/15.74  																																							|-Branch one:
% 46.35/15.74  																																							| (1456) all_0_91_91 = e0
% 46.35/15.74  																																							|
% 46.35/15.74  																																								| Equations (1456) can reduce 1487 to:
% 46.35/15.74  																																								| (311) $false
% 46.35/15.74  																																								|
% 46.35/15.74  																																								|-The branch is then unsatisfiable
% 46.35/15.74  																																							|-Branch two:
% 46.35/15.74  																																							| (1487)  ~ (all_0_91_91 = e0)
% 46.35/15.74  																																							| (1837) all_0_96_96 = e0
% 46.35/15.74  																																							|
% 46.35/15.74  																																								| Equations (1837) can reduce 2095 to:
% 46.35/15.74  																																								| (311) $false
% 46.35/15.74  																																								|
% 46.35/15.74  																																								|-The branch is then unsatisfiable
% 46.35/15.74  																																		|-Branch two:
% 46.35/15.74  																																		| (946)  ~ (all_0_92_92 = e0)
% 46.35/15.74  																																		| (560) all_0_97_97 = e0
% 46.35/15.74  																																		|
% 46.35/15.74  																																			| Combining equations (560,610) yields a new equation:
% 46.35/15.74  																																			| (912) e4 = e0
% 46.35/15.74  																																			|
% 46.35/15.74  																																			| Equations (912) can reduce 23 to:
% 46.35/15.74  																																			| (311) $false
% 46.35/15.74  																																			|
% 46.35/15.74  																																			|-The branch is then unsatisfiable
% 46.35/15.74  																														|-Branch two:
% 46.35/15.74  																														| (612)  ~ (all_0_84_84 = e2)
% 46.35/15.74  																														| (512) all_0_85_85 = e2
% 46.35/15.74  																														|
% 46.35/15.74  																															| Combining equations (493,512) yields a new equation:
% 46.35/15.74  																															| (309) e4 = e2
% 46.35/15.74  																															|
% 46.35/15.74  																															| Simplifying 309 yields:
% 46.35/15.74  																															| (310) e4 = e2
% 46.35/15.74  																															|
% 46.35/15.74  																															| Equations (310) can reduce 79 to:
% 46.35/15.74  																															| (311) $false
% 46.35/15.74  																															|
% 46.35/15.74  																															|-The branch is then unsatisfiable
% 46.35/15.75  																										|-Branch two:
% 46.35/15.75  																										| (793)  ~ (all_0_82_82 = e3)
% 46.35/15.75  																										| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.35/15.75  																										|
% 46.35/15.75  																											+-Applying beta-rule and splitting (2706), into two cases.
% 46.35/15.75  																											|-Branch one:
% 46.35/15.75  																											| (910) all_0_82_82 = e0
% 46.35/15.75  																											|
% 46.35/15.75  																												| Equations (910) can reduce 914 to:
% 46.35/15.75  																												| (311) $false
% 46.35/15.75  																												|
% 46.35/15.75  																												|-The branch is then unsatisfiable
% 46.35/15.75  																											|-Branch two:
% 46.35/15.75  																											| (914)  ~ (all_0_82_82 = e0)
% 46.35/15.75  																											| (469) all_0_82_82 = e4
% 46.35/15.75  																											|
% 46.35/15.75  																												| Equations (469) can reduce 465 to:
% 46.35/15.75  																												| (311) $false
% 46.35/15.75  																												|
% 46.35/15.75  																												|-The branch is then unsatisfiable
% 46.35/15.75  																					|-Branch two:
% 46.35/15.75  																					| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.35/15.75  																					|
% 46.35/15.75  																						| Applying alpha-rule on (590) yields:
% 46.35/15.75  																						| (591) all_0_64_64 = e2
% 46.35/15.75  																						| (592)  ~ (all_0_65_65 = e1)
% 46.35/15.75  																						|
% 46.35/15.75  																						| Equations (6145) can reduce 592 to:
% 46.35/15.75  																						| (311) $false
% 46.35/15.75  																						|
% 46.35/15.75  																						|-The branch is then unsatisfiable
% 46.35/15.75  																				|-Branch two:
% 46.35/15.75  																				| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.35/15.75  																				|
% 46.35/15.75  																					| Applying alpha-rule on (596) yields:
% 46.35/15.75  																					| (597) all_0_67_67 = e0
% 46.35/15.75  																					| (598)  ~ (all_0_68_68 = e1)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Combining equations (3520,597) yields a new equation:
% 46.35/15.75  																					| (911) e4 = e0
% 46.35/15.75  																					|
% 46.35/15.75  																					| Simplifying 911 yields:
% 46.35/15.75  																					| (912) e4 = e0
% 46.35/15.75  																					|
% 46.35/15.75  																					| Equations (912) can reduce 23 to:
% 46.35/15.75  																					| (311) $false
% 46.35/15.75  																					|
% 46.35/15.75  																					|-The branch is then unsatisfiable
% 46.35/15.75  																			|-Branch two:
% 46.35/15.75  																			| (381)  ~ (all_0_86_86 = e0)
% 46.35/15.75  																			| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 46.35/15.75  																			|
% 46.35/15.75  																				+-Applying beta-rule and splitting (9512), into two cases.
% 46.35/15.75  																				|-Branch one:
% 46.35/15.75  																				| (384) all_0_86_86 = e1
% 46.35/15.75  																				|
% 46.35/15.75  																					| Equations (384) can reduce 387 to:
% 46.35/15.75  																					| (311) $false
% 46.35/15.75  																					|
% 46.35/15.75  																					|-The branch is then unsatisfiable
% 46.35/15.75  																				|-Branch two:
% 46.35/15.75  																				| (387)  ~ (all_0_86_86 = e1)
% 46.35/15.75  																				| (378) all_0_86_86 = e0
% 46.35/15.75  																				|
% 46.35/15.75  																					| Equations (378) can reduce 381 to:
% 46.35/15.75  																					| (311) $false
% 46.35/15.75  																					|
% 46.35/15.75  																					|-The branch is then unsatisfiable
% 46.35/15.75  																		|-Branch two:
% 46.35/15.75  																		| (625)  ~ (all_0_87_87 = e1)
% 46.35/15.75  																		| (504) all_0_88_88 = e1
% 46.35/15.75  																		|
% 46.35/15.75  																			| Combining equations (370,504) yields a new equation:
% 46.35/15.75  																			| (408) e2 = e1
% 46.35/15.75  																			|
% 46.35/15.75  																			| Simplifying 408 yields:
% 46.35/15.75  																			| (385) e2 = e1
% 46.35/15.75  																			|
% 46.35/15.75  																			| Equations (385) can reduce 243 to:
% 46.35/15.75  																			| (311) $false
% 46.35/15.75  																			|
% 46.35/15.75  																			|-The branch is then unsatisfiable
% 46.35/15.75  															|-Branch two:
% 46.35/15.75  															| (351)  ~ (all_0_88_88 = e2)
% 46.35/15.75  															| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 46.35/15.75  															|
% 46.35/15.75  																+-Applying beta-rule and splitting (205), into two cases.
% 46.35/15.75  																|-Branch one:
% 46.35/15.75  																| (473) all_0_81_81 = e2
% 46.35/15.75  																|
% 46.35/15.75  																	| Combining equations (477,473) yields a new equation:
% 46.35/15.75  																	| (385) e2 = e1
% 46.35/15.75  																	|
% 46.35/15.75  																	| Equations (385) can reduce 243 to:
% 46.35/15.75  																	| (311) $false
% 46.35/15.75  																	|
% 46.35/15.75  																	|-The branch is then unsatisfiable
% 46.35/15.75  																|-Branch two:
% 46.35/15.75  																| (396)  ~ (all_0_81_81 = e2)
% 46.35/15.75  																| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 46.35/15.75  																|
% 46.35/15.75  																	+-Applying beta-rule and splitting (503), into two cases.
% 46.35/15.75  																	|-Branch one:
% 46.35/15.75  																	| (512) all_0_85_85 = e2
% 46.35/15.75  																	|
% 46.35/15.75  																		| Combining equations (512,493) yields a new equation:
% 46.35/15.75  																		| (310) e4 = e2
% 46.35/15.75  																		|
% 46.35/15.75  																		| Equations (310) can reduce 79 to:
% 46.35/15.75  																		| (311) $false
% 46.35/15.75  																		|
% 46.35/15.75  																		|-The branch is then unsatisfiable
% 46.35/15.75  																	|-Branch two:
% 46.35/15.75  																	| (515)  ~ (all_0_85_85 = e2)
% 46.35/15.75  																	| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 46.35/15.75  																	|
% 46.35/15.75  																		+-Applying beta-rule and splitting (516), into two cases.
% 46.35/15.75  																		|-Branch one:
% 46.35/15.75  																		| (370) all_0_88_88 = e2
% 46.35/15.75  																		|
% 46.35/15.75  																			| Equations (370) can reduce 351 to:
% 46.35/15.75  																			| (311) $false
% 46.35/15.75  																			|
% 46.35/15.75  																			|-The branch is then unsatisfiable
% 46.35/15.75  																		|-Branch two:
% 46.35/15.75  																		| (351)  ~ (all_0_88_88 = e2)
% 46.35/15.75  																		| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 46.35/15.75  																		|
% 46.35/15.75  																			+-Applying beta-rule and splitting (373), into two cases.
% 46.35/15.75  																			|-Branch one:
% 46.35/15.75  																			| (504) all_0_88_88 = e1
% 46.35/15.75  																			|
% 46.35/15.75  																				| Equations (504) can reduce 479 to:
% 46.35/15.75  																				| (311) $false
% 46.35/15.75  																				|
% 46.35/15.75  																				|-The branch is then unsatisfiable
% 46.35/15.75  																			|-Branch two:
% 46.35/15.75  																			| (479)  ~ (all_0_88_88 = e1)
% 46.35/15.75  																			| (507) all_0_88_88 = e0
% 46.35/15.75  																			|
% 46.35/15.75  																				| Equations (507) can reduce 80 to:
% 46.35/15.75  																				| (381)  ~ (all_0_86_86 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Equations (507) can reduce 181 to:
% 46.35/15.75  																				| (889)  ~ (all_0_87_87 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Equations (507) can reduce 286 to:
% 46.35/15.75  																				| (508)  ~ (all_0_93_93 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Simplifying 508 yields:
% 46.35/15.75  																				| (509)  ~ (all_0_93_93 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Equations (507) can reduce 31 to:
% 46.35/15.75  																				| (2058)  ~ (all_0_98_98 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Simplifying 2058 yields:
% 46.35/15.75  																				| (2059)  ~ (all_0_98_98 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Equations (507) can reduce 479 to:
% 46.35/15.75  																				| (859)  ~ (e1 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				| Simplifying 859 yields:
% 46.35/15.75  																				| (264)  ~ (e1 = e0)
% 46.35/15.75  																				|
% 46.35/15.75  																				+-Applying beta-rule and splitting (521), into two cases.
% 46.35/15.75  																				|-Branch one:
% 46.35/15.75  																				| (522) all_0_93_93 = e2
% 46.35/15.75  																				|
% 46.35/15.75  																					| Equations (522) can reduce 44 to:
% 46.35/15.75  																					| (296)  ~ (all_0_91_91 = e2)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Equations (522) can reduce 283 to:
% 46.35/15.75  																					| (298)  ~ (all_0_92_92 = e2)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Equations (522) can reduce 13 to:
% 46.35/15.75  																					| (1348)  ~ (all_0_98_98 = e2)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Simplifying 1348 yields:
% 46.35/15.75  																					| (1349)  ~ (all_0_98_98 = e2)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Equations (522) can reduce 481 to:
% 46.35/15.75  																					| (243)  ~ (e2 = e1)
% 46.35/15.75  																					|
% 46.35/15.75  																					| Equations (522) can reduce 509 to:
% 46.35/15.75  																					| (76)  ~ (e2 = e0)
% 46.35/15.75  																					|
% 46.35/15.75  																					| From (522) and (231) follows:
% 46.35/15.75  																					| (4519) op(e1, e0) = e2
% 46.35/15.75  																					|
% 46.35/15.75  																					+-Applying beta-rule and splitting (48), into two cases.
% 46.35/15.75  																					|-Branch one:
% 46.35/15.75  																					| (525) all_0_98_98 = e2
% 46.35/15.75  																					|
% 46.35/15.75  																						| Equations (525) can reduce 1349 to:
% 46.35/15.75  																						| (311) $false
% 46.35/15.75  																						|
% 46.35/15.75  																						|-The branch is then unsatisfiable
% 46.35/15.75  																					|-Branch two:
% 46.35/15.75  																					| (1349)  ~ (all_0_98_98 = e2)
% 46.35/15.75  																					| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.35/15.75  																					|
% 46.35/15.75  																						+-Applying beta-rule and splitting (5118), into two cases.
% 46.35/15.75  																						|-Branch one:
% 46.35/15.75  																						| (1543) all_0_98_98 = e1
% 46.35/15.75  																						|
% 46.35/15.75  																							| Equations (1543) can reduce 1804 to:
% 46.35/15.75  																							| (311) $false
% 46.35/15.75  																							|
% 46.35/15.75  																							|-The branch is then unsatisfiable
% 46.35/15.75  																						|-Branch two:
% 46.35/15.75  																						| (1804)  ~ (all_0_98_98 = e1)
% 46.35/15.75  																						| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.35/15.75  																						|
% 46.35/15.75  																							+-Applying beta-rule and splitting (5122), into two cases.
% 46.35/15.75  																							|-Branch one:
% 46.35/15.75  																							| (969) all_0_98_98 = e3
% 46.35/15.75  																							|
% 46.35/15.75  																								| Equations (969) can reduce 107 to:
% 46.35/15.75  																								| (765)  ~ (all_0_95_95 = e3)
% 46.35/15.75  																								|
% 46.35/15.75  																								| Equations (969) can reduce 321 to:
% 46.35/15.75  																								| (783)  ~ (e4 = e3)
% 46.35/15.75  																								|
% 46.35/15.75  																								| Simplifying 783 yields:
% 46.35/15.75  																								| (177)  ~ (e4 = e3)
% 46.35/15.75  																								|
% 46.35/15.75  																								| Equations (969) can reduce 1349 to:
% 46.35/15.75  																								| (169)  ~ (e3 = e2)
% 46.35/15.75  																								|
% 46.35/15.75  																								+-Applying beta-rule and splitting (62), into two cases.
% 46.35/15.75  																								|-Branch one:
% 46.35/15.75  																								| (374) all_0_87_87 = e2
% 46.35/15.75  																								|
% 46.35/15.75  																									| Equations (374) can reduce 124 to:
% 46.35/15.75  																									| (612)  ~ (all_0_84_84 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Equations (374) can reduce 162 to:
% 46.35/15.75  																									| (9507)  ~ (all_0_86_86 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Equations (374) can reduce 216 to:
% 46.35/15.75  																									| (528)  ~ (e4 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Simplifying 528 yields:
% 46.35/15.75  																									| (79)  ~ (e4 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Equations (374) can reduce 227 to:
% 46.35/15.75  																									| (356)  ~ (e3 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Simplifying 356 yields:
% 46.35/15.75  																									| (169)  ~ (e3 = e2)
% 46.35/15.75  																									|
% 46.35/15.75  																									| Equations (374) can reduce 889 to:
% 46.35/15.75  																									| (76)  ~ (e2 = e0)
% 46.35/15.75  																									|
% 46.35/15.75  																									| From (374) and (16) follows:
% 46.35/15.75  																									| (9531) op(e1, e2) = all_0_64_64
% 46.35/15.75  																									|
% 46.35/15.75  																									+-Applying beta-rule and splitting (142), into two cases.
% 46.35/15.75  																									|-Branch one:
% 46.35/15.75  																									| (345) all_0_86_86 = e2
% 46.35/15.75  																									|
% 46.35/15.75  																										| Equations (345) can reduce 9507 to:
% 46.35/15.75  																										| (311) $false
% 46.35/15.75  																										|
% 46.35/15.75  																										|-The branch is then unsatisfiable
% 46.35/15.75  																									|-Branch two:
% 46.35/15.75  																									| (9507)  ~ (all_0_86_86 = e2)
% 46.35/15.75  																									| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 46.35/15.75  																									|
% 46.35/15.75  																										+-Applying beta-rule and splitting (9512), into two cases.
% 46.35/15.75  																										|-Branch one:
% 46.35/15.75  																										| (384) all_0_86_86 = e1
% 46.35/15.75  																										|
% 46.35/15.75  																											| Equations (384) can reduce 139 to:
% 46.35/15.75  																											| (677)  ~ (all_0_90_90 = e1)
% 46.35/15.75  																											|
% 46.35/15.75  																											| Simplifying 677 yields:
% 46.35/15.75  																											| (678)  ~ (all_0_90_90 = e1)
% 46.35/15.75  																											|
% 46.35/15.75  																											| Equations (384) can reduce 91 to:
% 46.35/15.75  																											| (679)  ~ (all_0_95_95 = e1)
% 46.35/15.75  																											|
% 46.35/15.75  																											| Simplifying 679 yields:
% 46.35/15.75  																											| (680)  ~ (all_0_95_95 = e1)
% 46.35/15.75  																											|
% 46.35/15.75  																											| Equations (384) can reduce 381 to:
% 46.35/15.75  																											| (264)  ~ (e1 = e0)
% 46.35/15.75  																											|
% 46.35/15.75  																											+-Applying beta-rule and splitting (92), into two cases.
% 46.35/15.75  																											|-Branch one:
% 46.35/15.75  																											| (552) all_0_84_84 = e2
% 46.35/15.75  																											|
% 46.35/15.75  																												| Equations (552) can reduce 612 to:
% 46.35/15.75  																												| (311) $false
% 46.35/15.75  																												|
% 46.35/15.75  																												|-The branch is then unsatisfiable
% 46.35/15.75  																											|-Branch two:
% 46.35/15.75  																											| (612)  ~ (all_0_84_84 = e2)
% 46.35/15.75  																											| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.35/15.75  																											|
% 46.35/15.75  																												+-Applying beta-rule and splitting (41), into two cases.
% 46.35/15.75  																												|-Branch one:
% 46.35/15.75  																												| (530) all_0_82_82 = e2
% 46.35/15.75  																												|
% 46.35/15.75  																													| Equations (530) can reduce 116 to:
% 46.35/15.75  																													| (397)  ~ (all_0_83_83 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													| Simplifying 397 yields:
% 46.35/15.75  																													| (398)  ~ (all_0_83_83 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													| Equations (530) can reduce 7 to:
% 46.35/15.75  																													| (1631)  ~ (all_0_84_84 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													| Simplifying 1631 yields:
% 46.35/15.75  																													| (612)  ~ (all_0_84_84 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													| Equations (530) can reduce 255 to:
% 46.35/15.75  																													| (293)  ~ (all_0_90_90 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													| Simplifying 293 yields:
% 46.35/15.75  																													| (294)  ~ (all_0_90_90 = e2)
% 46.35/15.75  																													|
% 46.35/15.75  																													+-Applying beta-rule and splitting (171), into two cases.
% 46.35/15.75  																													|-Branch one:
% 46.35/15.75  																													| (789) all_0_82_82 = e3
% 46.35/15.75  																													|
% 46.35/15.75  																														| Combining equations (530,789) yields a new equation:
% 46.35/15.75  																														| (548) e3 = e2
% 46.35/15.75  																														|
% 46.35/15.75  																														| Equations (548) can reduce 169 to:
% 46.35/15.75  																														| (311) $false
% 46.35/15.75  																														|
% 46.35/15.75  																														|-The branch is then unsatisfiable
% 46.35/15.75  																													|-Branch two:
% 46.35/15.75  																													| (793)  ~ (all_0_82_82 = e3)
% 46.35/15.75  																													| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.35/15.75  																													|
% 46.35/15.75  																														+-Applying beta-rule and splitting (1296), into two cases.
% 46.35/15.75  																														|-Branch one:
% 46.35/15.75  																														| (795) all_0_83_83 = e3
% 46.35/15.75  																														|
% 46.35/15.75  																															| Equations (795) can reduce 223 to:
% 46.35/15.75  																															| (421)  ~ (all_0_84_84 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Simplifying 421 yields:
% 46.35/15.75  																															| (422)  ~ (all_0_84_84 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Equations (795) can reduce 146 to:
% 46.35/15.75  																															| (1298)  ~ (all_0_91_91 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Simplifying 1298 yields:
% 46.35/15.75  																															| (571)  ~ (all_0_91_91 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Equations (795) can reduce 155 to:
% 46.35/15.75  																															| (783)  ~ (e4 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Simplifying 783 yields:
% 46.35/15.75  																															| (177)  ~ (e4 = e3)
% 46.35/15.75  																															|
% 46.35/15.75  																															| Equations (795) can reduce 398 to:
% 46.35/15.75  																															| (169)  ~ (e3 = e2)
% 46.35/15.75  																															|
% 46.35/15.75  																															+-Applying beta-rule and splitting (176), into two cases.
% 46.35/15.75  																															|-Branch one:
% 46.35/15.75  																															| (785) all_0_95_95 = e1
% 46.35/15.75  																															|
% 46.35/15.75  																																| Equations (785) can reduce 680 to:
% 46.35/15.75  																																| (311) $false
% 46.35/15.75  																																|
% 46.35/15.75  																																|-The branch is then unsatisfiable
% 46.35/15.75  																															|-Branch two:
% 46.35/15.75  																															| (680)  ~ (all_0_95_95 = e1)
% 46.35/15.75  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.35/15.75  																															|
% 46.35/15.75  																																+-Applying beta-rule and splitting (788), into two cases.
% 46.35/15.75  																																|-Branch one:
% 46.35/15.75  																																| (960) all_0_96_96 = e1
% 46.35/15.75  																																|
% 46.35/15.75  																																	| Equations (960) can reduce 64 to:
% 46.35/15.75  																																	| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.75  																																	|
% 46.35/15.75  																																	| Equations (960) can reduce 279 to:
% 46.35/15.75  																																	| (680)  ~ (all_0_95_95 = e1)
% 46.35/15.75  																																	|
% 46.35/15.75  																																	| Equations (960) can reduce 1638 to:
% 46.35/15.75  																																	| (487)  ~ (e2 = e1)
% 46.35/15.75  																																	|
% 46.35/15.75  																																	| Simplifying 487 yields:
% 46.35/15.75  																																	| (243)  ~ (e2 = e1)
% 46.35/15.75  																																	|
% 46.35/15.75  																																	+-Applying beta-rule and splitting (102), into two cases.
% 46.35/15.75  																																	|-Branch one:
% 46.35/15.75  																																	| (858) all_0_95_95 = e0
% 46.35/15.75  																																	|
% 46.35/15.75  																																		| Equations (858) can reduce 229 to:
% 46.35/15.75  																																		| (762)  ~ (all_0_90_90 = e0)
% 46.35/15.75  																																		|
% 46.35/15.75  																																		| Equations (858) can reduce 680 to:
% 46.35/15.75  																																		| (859)  ~ (e1 = e0)
% 46.35/15.76  																																		|
% 46.35/15.76  																																		| Simplifying 859 yields:
% 46.35/15.76  																																		| (264)  ~ (e1 = e0)
% 46.35/15.76  																																		|
% 46.35/15.76  																																		+-Applying beta-rule and splitting (282), into two cases.
% 46.35/15.76  																																		|-Branch one:
% 46.35/15.76  																																		| (754) all_0_90_90 = e3
% 46.35/15.76  																																		|
% 46.35/15.76  																																			| Combining equations (754,451) yields a new equation:
% 46.35/15.76  																																			| (1403) all_0_60_60 = e3
% 46.35/15.76  																																			|
% 46.35/15.76  																																			| Equations (754) can reduce 467 to:
% 46.35/15.76  																																			| (783)  ~ (e4 = e3)
% 46.35/15.76  																																			|
% 46.35/15.76  																																			| Simplifying 783 yields:
% 46.35/15.76  																																			| (177)  ~ (e4 = e3)
% 46.35/15.76  																																			|
% 46.35/15.76  																																			| Equations (754) can reduce 294 to:
% 46.35/15.76  																																			| (169)  ~ (e3 = e2)
% 46.35/15.76  																																			|
% 46.35/15.76  																																			| Equations (754) can reduce 678 to:
% 46.35/15.76  																																			| (20)  ~ (e3 = e1)
% 46.35/15.76  																																			|
% 46.35/15.76  																																			| Equations (754) can reduce 762 to:
% 46.35/15.76  																																			| (50)  ~ (e3 = e0)
% 46.35/15.76  																																			|
% 46.35/15.76  																																			+-Applying beta-rule and splitting (151), into two cases.
% 46.35/15.76  																																			|-Branch one:
% 46.35/15.76  																																			| (824) all_0_80_80 = e1
% 46.35/15.76  																																			|
% 46.35/15.76  																																				| Combining equations (824,416) yields a new equation:
% 46.35/15.76  																																				| (772) e3 = e1
% 46.35/15.76  																																				|
% 46.35/15.76  																																				| Equations (772) can reduce 20 to:
% 46.35/15.76  																																				| (311) $false
% 46.35/15.76  																																				|
% 46.35/15.76  																																				|-The branch is then unsatisfiable
% 46.35/15.76  																																			|-Branch two:
% 46.35/15.76  																																			| (828)  ~ (all_0_80_80 = e1)
% 46.35/15.76  																																			| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.35/15.76  																																			|
% 46.35/15.76  																																				| Equations (416) can reduce 828 to:
% 46.35/15.76  																																				| (20)  ~ (e3 = e1)
% 46.35/15.76  																																				|
% 46.35/15.76  																																				+-Applying beta-rule and splitting (132), into two cases.
% 46.35/15.76  																																				|-Branch one:
% 46.35/15.76  																																				| (750) all_0_90_90 = e1
% 46.35/15.76  																																				|
% 46.35/15.76  																																					| Combining equations (750,754) yields a new equation:
% 46.35/15.76  																																					| (772) e3 = e1
% 46.35/15.76  																																					|
% 46.35/15.76  																																					| Equations (772) can reduce 20 to:
% 46.35/15.76  																																					| (311) $false
% 46.35/15.76  																																					|
% 46.35/15.76  																																					|-The branch is then unsatisfiable
% 46.35/15.76  																																				|-Branch two:
% 46.35/15.76  																																				| (678)  ~ (all_0_90_90 = e1)
% 46.35/15.76  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.35/15.76  																																				|
% 46.35/15.76  																																					+-Applying beta-rule and splitting (284), into two cases.
% 46.35/15.76  																																					|-Branch one:
% 46.35/15.76  																																					| (1723) all_0_91_91 = e2
% 46.35/15.76  																																					|
% 46.35/15.76  																																						| Equations (1723) can reduce 296 to:
% 46.35/15.76  																																						| (311) $false
% 46.35/15.76  																																						|
% 46.35/15.76  																																						|-The branch is then unsatisfiable
% 46.35/15.76  																																					|-Branch two:
% 46.35/15.76  																																					| (296)  ~ (all_0_91_91 = e2)
% 46.35/15.76  																																					| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.35/15.76  																																					|
% 46.35/15.76  																																						+-Applying beta-rule and splitting (219), into two cases.
% 46.35/15.76  																																						|-Branch one:
% 46.35/15.76  																																						| (798) all_0_83_83 = e0
% 46.35/15.76  																																						|
% 46.35/15.76  																																							| Combining equations (795,798) yields a new equation:
% 46.35/15.76  																																							| (599) e3 = e0
% 46.35/15.76  																																							|
% 46.35/15.76  																																							| Simplifying 599 yields:
% 46.35/15.76  																																							| (600) e3 = e0
% 46.35/15.76  																																							|
% 46.35/15.76  																																							| Equations (600) can reduce 50 to:
% 46.35/15.76  																																							| (311) $false
% 46.35/15.76  																																							|
% 46.35/15.76  																																							|-The branch is then unsatisfiable
% 46.35/15.76  																																						|-Branch two:
% 46.35/15.76  																																						| (1314)  ~ (all_0_83_83 = e0)
% 46.35/15.76  																																						| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.35/15.76  																																						|
% 46.35/15.76  																																							+-Applying beta-rule and splitting (1400), into two cases.
% 46.35/15.76  																																							|-Branch one:
% 46.35/15.76  																																							| (1456) all_0_91_91 = e0
% 46.35/15.76  																																							|
% 46.35/15.76  																																								| Equations (1456) can reduce 265 to:
% 46.35/15.76  																																								| (2299)  ~ (all_0_92_92 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Simplifying 2299 yields:
% 46.35/15.76  																																								| (946)  ~ (all_0_92_92 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Equations (1456) can reduce 133 to:
% 46.35/15.76  																																								| (904)  ~ (e4 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Simplifying 904 yields:
% 46.35/15.76  																																								| (23)  ~ (e4 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Equations (1456) can reduce 296 to:
% 46.35/15.76  																																								| (510)  ~ (e2 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Simplifying 510 yields:
% 46.35/15.76  																																								| (76)  ~ (e2 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Equations (1456) can reduce 959 to:
% 46.35/15.76  																																								| (859)  ~ (e1 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| Simplifying 859 yields:
% 46.35/15.76  																																								| (264)  ~ (e1 = e0)
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| From (1456) and (51) follows:
% 46.35/15.76  																																								| (3461) op(e1, e0) = all_0_57_57
% 46.35/15.76  																																								|
% 46.35/15.76  																																								| From (1456) and (3) follows:
% 46.35/15.76  																																								| (8261) op(e1, e2) = e0
% 46.35/15.76  																																								|
% 46.35/15.76  																																								+-Applying beta-rule and splitting (2), into two cases.
% 46.35/15.76  																																								|-Branch one:
% 46.35/15.76  																																								| (916) all_0_84_84 = e0
% 46.35/15.76  																																								|
% 46.35/15.76  																																									| Equations (916) can reduce 417 to:
% 46.35/15.76  																																									| (904)  ~ (e4 = e0)
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Simplifying 904 yields:
% 46.35/15.76  																																									| (23)  ~ (e4 = e0)
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Equations (916) can reduce 612 to:
% 46.35/15.76  																																									| (510)  ~ (e2 = e0)
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Simplifying 510 yields:
% 46.35/15.76  																																									| (76)  ~ (e2 = e0)
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| From (916) and (122) follows:
% 46.35/15.76  																																									| (1321) op(e1, e0) = all_0_62_62
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Instantiating formula (262) with e1, e2, e0, all_0_64_64 and discharging atoms op(e1, e2) = all_0_64_64, op(e1, e2) = e0, yields:
% 46.35/15.76  																																									| (5547) all_0_64_64 = e0
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Instantiating formula (262) with e1, e0, all_0_57_57, e2 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e2, yields:
% 46.35/15.76  																																									| (32427) all_0_57_57 = e2
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_62_62, yields:
% 46.35/15.76  																																									| (11552) all_0_57_57 = all_0_62_62
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Combining equations (11552,32427) yields a new equation:
% 46.35/15.76  																																									| (21524) all_0_62_62 = e2
% 46.35/15.76  																																									|
% 46.35/15.76  																																									| Simplifying 21524 yields:
% 46.35/15.76  																																									| (9103) all_0_62_62 = e2
% 46.35/15.76  																																									|
% 46.35/15.76  																																									+-Applying beta-rule and splitting (276), into two cases.
% 46.35/15.76  																																									|-Branch one:
% 46.35/15.76  																																									| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.35/15.76  																																									|
% 46.35/15.76  																																										+-Applying beta-rule and splitting (577), into two cases.
% 46.35/15.76  																																										|-Branch one:
% 46.35/15.76  																																										| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.35/15.76  																																										|
% 46.35/15.76  																																											+-Applying beta-rule and splitting (578), into two cases.
% 46.35/15.76  																																											|-Branch one:
% 46.35/15.76  																																											| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.35/15.76  																																											|
% 46.35/15.76  																																												| Applying alpha-rule on (579) yields:
% 46.35/15.76  																																												| (580) all_0_60_60 = e4
% 46.35/15.76  																																												| (581)  ~ (all_0_61_61 = e1)
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Combining equations (580,1403) yields a new equation:
% 46.35/15.76  																																												| (790) e4 = e3
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Simplifying 790 yields:
% 46.35/15.76  																																												| (434) e4 = e3
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Equations (434) can reduce 177 to:
% 46.35/15.76  																																												| (311) $false
% 46.35/15.76  																																												|
% 46.35/15.76  																																												|-The branch is then unsatisfiable
% 46.35/15.76  																																											|-Branch two:
% 46.35/15.76  																																											| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.35/15.76  																																											|
% 46.35/15.76  																																												| Applying alpha-rule on (585) yields:
% 46.35/15.76  																																												| (586) all_0_62_62 = e3
% 46.35/15.76  																																												| (587)  ~ (all_0_63_63 = e1)
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Combining equations (586,9103) yields a new equation:
% 46.35/15.76  																																												| (547) e3 = e2
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Simplifying 547 yields:
% 46.35/15.76  																																												| (548) e3 = e2
% 46.35/15.76  																																												|
% 46.35/15.76  																																												| Equations (548) can reduce 169 to:
% 46.35/15.76  																																												| (311) $false
% 46.35/15.76  																																												|
% 46.35/15.76  																																												|-The branch is then unsatisfiable
% 46.35/15.76  																																										|-Branch two:
% 46.35/15.76  																																										| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.35/15.76  																																										|
% 46.35/15.76  																																											| Applying alpha-rule on (590) yields:
% 46.35/15.76  																																											| (591) all_0_64_64 = e2
% 46.35/15.76  																																											| (592)  ~ (all_0_65_65 = e1)
% 46.35/15.76  																																											|
% 46.35/15.76  																																											| Combining equations (5547,591) yields a new equation:
% 46.35/15.76  																																											| (379) e2 = e0
% 46.35/15.76  																																											|
% 46.35/15.76  																																											| Equations (379) can reduce 76 to:
% 46.35/15.76  																																											| (311) $false
% 46.35/15.76  																																											|
% 46.35/15.76  																																											|-The branch is then unsatisfiable
% 46.35/15.76  																																									|-Branch two:
% 46.35/15.76  																																									| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.35/15.76  																																									|
% 46.35/15.76  																																										| Applying alpha-rule on (596) yields:
% 46.35/15.76  																																										| (597) all_0_67_67 = e0
% 46.35/15.76  																																										| (598)  ~ (all_0_68_68 = e1)
% 46.35/15.76  																																										|
% 46.35/15.76  																																										| Combining equations (3520,597) yields a new equation:
% 46.35/15.76  																																										| (911) e4 = e0
% 46.35/15.76  																																										|
% 46.35/15.76  																																										| Simplifying 911 yields:
% 46.35/15.76  																																										| (912) e4 = e0
% 46.35/15.76  																																										|
% 46.35/15.76  																																										| Equations (912) can reduce 23 to:
% 46.35/15.76  																																										| (311) $false
% 46.35/15.76  																																										|
% 46.35/15.76  																																										|-The branch is then unsatisfiable
% 46.35/15.76  																																								|-Branch two:
% 46.35/15.76  																																								| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.76  																																								| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.76  																																								|
% 46.35/15.76  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 46.35/15.76  																																									|-Branch one:
% 46.35/15.76  																																									| (801) all_0_91_91 = e1
% 46.35/15.76  																																									|
% 46.35/15.77  																																										| Combining equations (1456,801) yields a new equation:
% 46.35/15.77  																																										| (865) e1 = e0
% 46.35/15.77  																																										|
% 46.35/15.77  																																										| Equations (865) can reduce 264 to:
% 46.35/15.77  																																										| (311) $false
% 46.35/15.77  																																										|
% 46.35/15.77  																																										|-The branch is then unsatisfiable
% 46.35/15.77  																																									|-Branch two:
% 46.35/15.77  																																									| (959)  ~ (all_0_91_91 = e1)
% 46.35/15.77  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.35/15.77  																																									|
% 46.35/15.77  																																										+-Applying beta-rule and splitting (920), into two cases.
% 46.35/15.77  																																										|-Branch one:
% 46.35/15.77  																																										| (861) all_0_87_87 = e0
% 46.35/15.77  																																										|
% 46.35/15.77  																																											| Combining equations (374,861) yields a new equation:
% 46.35/15.77  																																											| (923) e2 = e0
% 46.35/15.77  																																											|
% 46.35/15.77  																																											| Simplifying 923 yields:
% 46.35/15.77  																																											| (379) e2 = e0
% 46.35/15.77  																																											|
% 46.35/15.77  																																											| Equations (379) can reduce 76 to:
% 46.35/15.77  																																											| (311) $false
% 46.35/15.77  																																											|
% 46.35/15.77  																																											|-The branch is then unsatisfiable
% 46.35/15.77  																																										|-Branch two:
% 46.35/15.77  																																										| (889)  ~ (all_0_87_87 = e0)
% 46.35/15.77  																																										| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.77  																																										|
% 46.35/15.77  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 46.35/15.77  																																											|-Branch one:
% 46.35/15.77  																																											| (836) all_0_92_92 = e1
% 46.35/15.77  																																											|
% 46.35/15.77  																																												| Equations (836) can reduce 946 to:
% 46.35/15.77  																																												| (264)  ~ (e1 = e0)
% 46.35/15.77  																																												|
% 46.35/15.77  																																												+-Applying beta-rule and splitting (931), into two cases.
% 46.35/15.77  																																												|-Branch one:
% 46.35/15.77  																																												| (942) all_0_92_92 = e0
% 46.35/15.77  																																												|
% 46.35/15.77  																																													| Combining equations (836,942) yields a new equation:
% 46.35/15.77  																																													| (1107) e1 = e0
% 46.35/15.77  																																													|
% 46.35/15.77  																																													| Simplifying 1107 yields:
% 46.35/15.77  																																													| (865) e1 = e0
% 46.35/15.77  																																													|
% 46.35/15.77  																																													| Equations (865) can reduce 264 to:
% 46.35/15.77  																																													| (311) $false
% 46.35/15.77  																																													|
% 46.35/15.77  																																													|-The branch is then unsatisfiable
% 46.35/15.77  																																												|-Branch two:
% 46.35/15.77  																																												| (946)  ~ (all_0_92_92 = e0)
% 46.35/15.77  																																												| (560) all_0_97_97 = e0
% 46.35/15.77  																																												|
% 46.35/15.77  																																													| Combining equations (610,560) yields a new equation:
% 46.35/15.77  																																													| (911) e4 = e0
% 46.35/15.77  																																													|
% 46.35/15.77  																																													| Simplifying 911 yields:
% 46.35/15.77  																																													| (912) e4 = e0
% 46.35/15.77  																																													|
% 46.35/15.77  																																													| Equations (912) can reduce 23 to:
% 46.35/15.77  																																													| (311) $false
% 46.35/15.77  																																													|
% 46.35/15.77  																																													|-The branch is then unsatisfiable
% 46.35/15.77  																																											|-Branch two:
% 46.35/15.77  																																											| (840)  ~ (all_0_92_92 = e1)
% 46.35/15.77  																																											| (566) all_0_93_93 = e1
% 46.35/15.77  																																											|
% 46.35/15.77  																																												| Combining equations (522,566) yields a new equation:
% 46.35/15.77  																																												| (408) e2 = e1
% 46.35/15.77  																																												|
% 46.35/15.77  																																												| Simplifying 408 yields:
% 46.35/15.77  																																												| (385) e2 = e1
% 46.35/15.77  																																												|
% 46.35/15.77  																																												| Equations (385) can reduce 243 to:
% 46.35/15.77  																																												| (311) $false
% 46.35/15.77  																																												|
% 46.35/15.77  																																												|-The branch is then unsatisfiable
% 46.35/15.77  																																							|-Branch two:
% 46.35/15.77  																																							| (1487)  ~ (all_0_91_91 = e0)
% 46.35/15.77  																																							| (1837) all_0_96_96 = e0
% 46.35/15.77  																																							|
% 46.35/15.77  																																								| Combining equations (1837,960) yields a new equation:
% 46.35/15.77  																																								| (865) e1 = e0
% 46.35/15.77  																																								|
% 46.35/15.77  																																								| Equations (865) can reduce 264 to:
% 46.35/15.77  																																								| (311) $false
% 46.35/15.77  																																								|
% 46.35/15.77  																																								|-The branch is then unsatisfiable
% 46.35/15.77  																																		|-Branch two:
% 46.35/15.77  																																		| (745)  ~ (all_0_90_90 = e3)
% 46.35/15.77  																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.35/15.77  																																		|
% 46.35/15.77  																																			+-Applying beta-rule and splitting (220), into two cases.
% 46.35/15.77  																																			|-Branch one:
% 46.35/15.77  																																			| (771) all_0_78_78 = e3
% 46.35/15.77  																																			|
% 46.35/15.77  																																				| Combining equations (771,463) yields a new equation:
% 46.35/15.77  																																				| (434) e4 = e3
% 46.35/15.77  																																				|
% 46.35/15.77  																																				| Equations (434) can reduce 177 to:
% 46.35/15.77  																																				| (311) $false
% 46.35/15.77  																																				|
% 46.35/15.77  																																				|-The branch is then unsatisfiable
% 46.35/15.77  																																			|-Branch two:
% 46.35/15.77  																																			| (418)  ~ (all_0_78_78 = e3)
% 46.35/15.77  																																			| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.77  																																			|
% 46.35/15.77  																																				+-Applying beta-rule and splitting (617), into two cases.
% 46.35/15.77  																																				|-Branch one:
% 46.35/15.77  																																				| (1265) all_0_84_84 = e3
% 46.35/15.77  																																				|
% 46.35/15.77  																																					| Equations (1265) can reduce 422 to:
% 46.35/15.77  																																					| (311) $false
% 46.35/15.77  																																					|
% 46.35/15.77  																																					|-The branch is then unsatisfiable
% 46.35/15.77  																																				|-Branch two:
% 46.35/15.77  																																				| (422)  ~ (all_0_84_84 = e3)
% 46.35/15.77  																																				| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.35/15.77  																																				|
% 46.35/15.77  																																					+-Applying beta-rule and splitting (1268), into two cases.
% 46.35/15.77  																																					|-Branch one:
% 46.35/15.77  																																					| (916) all_0_84_84 = e0
% 46.35/15.77  																																					|
% 46.35/15.77  																																						| Equations (916) can reduce 422 to:
% 46.35/15.77  																																						| (906)  ~ (e3 = e0)
% 46.35/15.77  																																						|
% 46.35/15.77  																																						| Simplifying 906 yields:
% 46.35/15.77  																																						| (50)  ~ (e3 = e0)
% 46.35/15.77  																																						|
% 46.35/15.77  																																						+-Applying beta-rule and splitting (775), into two cases.
% 46.35/15.77  																																						|-Branch one:
% 46.35/15.77  																																						| (789) all_0_82_82 = e3
% 46.35/15.77  																																						|
% 46.35/15.77  																																							| Combining equations (789,530) yields a new equation:
% 46.35/15.77  																																							| (547) e3 = e2
% 46.35/15.77  																																							|
% 46.35/15.77  																																							| Simplifying 547 yields:
% 46.35/15.77  																																							| (548) e3 = e2
% 46.35/15.77  																																							|
% 46.35/15.77  																																							| Equations (548) can reduce 169 to:
% 46.35/15.77  																																							| (311) $false
% 46.35/15.77  																																							|
% 46.35/15.77  																																							|-The branch is then unsatisfiable
% 46.35/15.77  																																						|-Branch two:
% 46.35/15.77  																																						| (793)  ~ (all_0_82_82 = e3)
% 46.35/15.77  																																						| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.77  																																						|
% 46.35/15.77  																																							+-Applying beta-rule and splitting (794), into two cases.
% 46.35/15.77  																																							|-Branch one:
% 46.35/15.77  																																							| (754) all_0_90_90 = e3
% 46.35/15.77  																																							|
% 46.35/15.77  																																								| Equations (754) can reduce 745 to:
% 46.35/15.77  																																								| (311) $false
% 46.35/15.77  																																								|
% 46.35/15.77  																																								|-The branch is then unsatisfiable
% 46.35/15.77  																																							|-Branch two:
% 46.35/15.77  																																							| (745)  ~ (all_0_90_90 = e3)
% 46.35/15.77  																																							| (744) all_0_95_95 = e3
% 46.35/15.77  																																							|
% 46.35/15.77  																																								| Combining equations (858,744) yields a new equation:
% 46.35/15.77  																																								| (600) e3 = e0
% 46.35/15.77  																																								|
% 46.35/15.77  																																								| Equations (600) can reduce 50 to:
% 46.35/15.77  																																								| (311) $false
% 46.35/15.77  																																								|
% 46.35/15.77  																																								|-The branch is then unsatisfiable
% 46.35/15.77  																																					|-Branch two:
% 46.35/15.77  																																					| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.77  																																					| (438) all_0_84_84 = e4
% 46.35/15.77  																																					|
% 46.35/15.77  																																						| Equations (438) can reduce 417 to:
% 46.35/15.77  																																						| (311) $false
% 46.35/15.77  																																						|
% 46.35/15.77  																																						|-The branch is then unsatisfiable
% 46.35/15.77  																																	|-Branch two:
% 46.35/15.77  																																	| (893)  ~ (all_0_95_95 = e0)
% 46.35/15.77  																																	| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.35/15.77  																																	|
% 46.35/15.77  																																		+-Applying beta-rule and splitting (220), into two cases.
% 46.35/15.77  																																		|-Branch one:
% 46.35/15.77  																																		| (771) all_0_78_78 = e3
% 46.35/15.77  																																		|
% 46.35/15.77  																																			| Combining equations (771,463) yields a new equation:
% 46.35/15.77  																																			| (434) e4 = e3
% 46.35/15.77  																																			|
% 46.35/15.77  																																			| Equations (434) can reduce 177 to:
% 46.35/15.77  																																			| (311) $false
% 46.35/15.77  																																			|
% 46.35/15.77  																																			|-The branch is then unsatisfiable
% 46.35/15.77  																																		|-Branch two:
% 46.35/15.77  																																		| (418)  ~ (all_0_78_78 = e3)
% 46.35/15.77  																																		| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.77  																																		|
% 46.35/15.77  																																			+-Applying beta-rule and splitting (617), into two cases.
% 46.35/15.77  																																			|-Branch one:
% 46.35/15.77  																																			| (1265) all_0_84_84 = e3
% 46.35/15.77  																																			|
% 46.35/15.77  																																				| Equations (1265) can reduce 422 to:
% 46.35/15.77  																																				| (311) $false
% 46.35/15.77  																																				|
% 46.35/15.77  																																				|-The branch is then unsatisfiable
% 46.35/15.77  																																			|-Branch two:
% 46.35/15.77  																																			| (422)  ~ (all_0_84_84 = e3)
% 46.35/15.77  																																			| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.35/15.77  																																			|
% 46.35/15.77  																																				+-Applying beta-rule and splitting (254), into two cases.
% 46.35/15.77  																																				|-Branch one:
% 46.35/15.77  																																				| (910) all_0_82_82 = e0
% 46.35/15.77  																																				|
% 46.35/15.77  																																					| Combining equations (530,910) yields a new equation:
% 46.35/15.77  																																					| (923) e2 = e0
% 46.35/15.77  																																					|
% 46.35/15.77  																																					| Simplifying 923 yields:
% 46.35/15.77  																																					| (379) e2 = e0
% 46.35/15.77  																																					|
% 46.35/15.77  																																					| Equations (379) can reduce 76 to:
% 46.35/15.77  																																					| (311) $false
% 46.35/15.77  																																					|
% 46.35/15.77  																																					|-The branch is then unsatisfiable
% 46.35/15.77  																																				|-Branch two:
% 46.35/15.77  																																				| (914)  ~ (all_0_82_82 = e0)
% 46.35/15.77  																																				| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 46.35/15.77  																																				|
% 46.35/15.77  																																					+-Applying beta-rule and splitting (915), into two cases.
% 46.35/15.77  																																					|-Branch one:
% 46.35/15.77  																																					| (378) all_0_86_86 = e0
% 46.35/15.77  																																					|
% 46.35/15.77  																																						| Combining equations (384,378) yields a new equation:
% 46.35/15.77  																																						| (1107) e1 = e0
% 46.35/15.77  																																						|
% 46.35/15.77  																																						| Simplifying 1107 yields:
% 46.35/15.77  																																						| (865) e1 = e0
% 46.35/15.77  																																						|
% 46.35/15.77  																																						| Equations (865) can reduce 264 to:
% 46.35/15.77  																																						| (311) $false
% 46.35/15.77  																																						|
% 46.35/15.77  																																						|-The branch is then unsatisfiable
% 46.35/15.77  																																					|-Branch two:
% 46.35/15.77  																																					| (381)  ~ (all_0_86_86 = e0)
% 46.35/15.77  																																					| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 46.35/15.77  																																					|
% 46.35/15.77  																																						+-Applying beta-rule and splitting (927), into two cases.
% 46.35/15.77  																																						|-Branch one:
% 46.35/15.77  																																						| (758) all_0_90_90 = e0
% 46.35/15.77  																																						|
% 46.35/15.77  																																							+-Applying beta-rule and splitting (2), into two cases.
% 46.35/15.77  																																							|-Branch one:
% 46.35/15.77  																																							| (916) all_0_84_84 = e0
% 46.35/15.77  																																							|
% 46.35/15.77  																																								| Equations (916) can reduce 422 to:
% 46.35/15.77  																																								| (906)  ~ (e3 = e0)
% 46.35/15.77  																																								|
% 46.35/15.77  																																								| Simplifying 906 yields:
% 46.35/15.77  																																								| (50)  ~ (e3 = e0)
% 46.35/15.77  																																								|
% 46.35/15.77  																																								+-Applying beta-rule and splitting (775), into two cases.
% 46.35/15.77  																																								|-Branch one:
% 46.35/15.77  																																								| (789) all_0_82_82 = e3
% 46.35/15.77  																																								|
% 46.35/15.77  																																									| Combining equations (530,789) yields a new equation:
% 46.35/15.77  																																									| (548) e3 = e2
% 46.35/15.77  																																									|
% 46.35/15.77  																																									| Equations (548) can reduce 169 to:
% 46.35/15.77  																																									| (311) $false
% 46.35/15.77  																																									|
% 46.35/15.77  																																									|-The branch is then unsatisfiable
% 46.35/15.77  																																								|-Branch two:
% 46.35/15.77  																																								| (793)  ~ (all_0_82_82 = e3)
% 46.35/15.77  																																								| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.35/15.77  																																								|
% 46.35/15.77  																																									+-Applying beta-rule and splitting (794), into two cases.
% 46.35/15.77  																																									|-Branch one:
% 46.35/15.77  																																									| (754) all_0_90_90 = e3
% 46.35/15.77  																																									|
% 46.35/15.77  																																										| Combining equations (758,754) yields a new equation:
% 46.35/15.77  																																										| (600) e3 = e0
% 46.35/15.77  																																										|
% 46.35/15.77  																																										| Equations (600) can reduce 50 to:
% 46.35/15.77  																																										| (311) $false
% 46.35/15.77  																																										|
% 46.35/15.77  																																										|-The branch is then unsatisfiable
% 46.35/15.77  																																									|-Branch two:
% 46.35/15.77  																																									| (745)  ~ (all_0_90_90 = e3)
% 46.35/15.77  																																									| (744) all_0_95_95 = e3
% 46.35/15.77  																																									|
% 46.35/15.77  																																										| Equations (744) can reduce 765 to:
% 46.35/15.77  																																										| (311) $false
% 46.35/15.77  																																										|
% 46.35/15.77  																																										|-The branch is then unsatisfiable
% 46.35/15.77  																																							|-Branch two:
% 46.35/15.77  																																							| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.77  																																							| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.35/15.77  																																							|
% 46.35/15.77  																																								+-Applying beta-rule and splitting (1268), into two cases.
% 46.35/15.77  																																								|-Branch one:
% 46.35/15.77  																																								| (916) all_0_84_84 = e0
% 46.35/15.77  																																								|
% 46.35/15.77  																																									| Equations (916) can reduce 919 to:
% 46.35/15.77  																																									| (311) $false
% 46.35/15.77  																																									|
% 46.35/15.77  																																									|-The branch is then unsatisfiable
% 46.35/15.77  																																								|-Branch two:
% 46.35/15.77  																																								| (919)  ~ (all_0_84_84 = e0)
% 46.35/15.77  																																								| (438) all_0_84_84 = e4
% 46.35/15.77  																																								|
% 46.35/15.77  																																									| Equations (438) can reduce 417 to:
% 46.35/15.77  																																									| (311) $false
% 46.35/15.77  																																									|
% 46.35/15.77  																																									|-The branch is then unsatisfiable
% 46.35/15.77  																																						|-Branch two:
% 46.35/15.77  																																						| (762)  ~ (all_0_90_90 = e0)
% 46.35/15.77  																																						| (858) all_0_95_95 = e0
% 46.35/15.77  																																						|
% 46.35/15.77  																																							| Equations (858) can reduce 893 to:
% 46.35/15.77  																																							| (311) $false
% 46.35/15.77  																																							|
% 46.35/15.77  																																							|-The branch is then unsatisfiable
% 46.43/15.77  																																|-Branch two:
% 46.43/15.77  																																| (1479)  ~ (all_0_96_96 = e1)
% 46.43/15.77  																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.43/15.77  																																|
% 46.43/15.77  																																	+-Applying beta-rule and splitting (462), into two cases.
% 46.43/15.77  																																	|-Branch one:
% 46.43/15.77  																																	| (801) all_0_91_91 = e1
% 46.43/15.77  																																	|
% 46.43/15.77  																																		| Equations (801) can reduce 133 to:
% 46.43/15.77  																																		| (681)  ~ (e4 = e1)
% 46.43/15.77  																																		|
% 46.43/15.77  																																		| Simplifying 681 yields:
% 46.43/15.77  																																		| (256)  ~ (e4 = e1)
% 46.43/15.77  																																		|
% 46.43/15.77  																																		| Equations (801) can reduce 571 to:
% 46.43/15.77  																																		| (683)  ~ (e3 = e1)
% 46.43/15.77  																																		|
% 46.43/15.77  																																		| Simplifying 683 yields:
% 46.43/15.77  																																		| (20)  ~ (e3 = e1)
% 46.43/15.77  																																		|
% 46.43/15.77  																																		+-Applying beta-rule and splitting (2126), into two cases.
% 46.43/15.77  																																		|-Branch one:
% 46.43/15.77  																																		| (542) all_0_97_97 = e1
% 46.43/15.77  																																		|
% 46.43/15.77  																																			| Combining equations (610,542) yields a new equation:
% 46.43/15.77  																																			| (813) e4 = e1
% 46.43/15.77  																																			|
% 46.43/15.77  																																			| Simplifying 813 yields:
% 46.43/15.77  																																			| (814) e4 = e1
% 46.43/15.77  																																			|
% 46.43/15.77  																																			| Equations (814) can reduce 256 to:
% 46.43/15.77  																																			| (311) $false
% 46.43/15.77  																																			|
% 46.43/15.77  																																			|-The branch is then unsatisfiable
% 46.43/15.77  																																		|-Branch two:
% 46.43/15.77  																																		| (486)  ~ (all_0_97_97 = e1)
% 46.43/15.77  																																		| (1543) all_0_98_98 = e1
% 46.43/15.77  																																		|
% 46.43/15.77  																																			| Combining equations (1543,969) yields a new equation:
% 46.43/15.77  																																			| (772) e3 = e1
% 46.43/15.77  																																			|
% 46.43/15.77  																																			| Equations (772) can reduce 20 to:
% 46.43/15.77  																																			| (311) $false
% 46.43/15.77  																																			|
% 46.43/15.77  																																			|-The branch is then unsatisfiable
% 46.43/15.77  																																	|-Branch two:
% 46.43/15.77  																																	| (959)  ~ (all_0_91_91 = e1)
% 46.43/15.77  																																	| (960) all_0_96_96 = e1
% 46.43/15.77  																																	|
% 46.43/15.77  																																		| Equations (960) can reduce 1479 to:
% 46.43/15.77  																																		| (311) $false
% 46.43/15.77  																																		|
% 46.43/15.77  																																		|-The branch is then unsatisfiable
% 46.43/15.77  																														|-Branch two:
% 46.43/15.77  																														| (779)  ~ (all_0_83_83 = e3)
% 46.43/15.77  																														| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.43/15.77  																														|
% 46.43/15.77  																															+-Applying beta-rule and splitting (1594), into two cases.
% 46.43/15.77  																															|-Branch one:
% 46.43/15.77  																															| (1265) all_0_84_84 = e3
% 46.43/15.77  																															|
% 46.43/15.77  																																| Equations (1265) can reduce 422 to:
% 46.43/15.77  																																| (311) $false
% 46.43/15.77  																																|
% 46.43/15.77  																																|-The branch is then unsatisfiable
% 46.43/15.77  																															|-Branch two:
% 46.43/15.77  																															| (422)  ~ (all_0_84_84 = e3)
% 46.43/15.77  																															| (804) all_0_85_85 = e3
% 46.43/15.77  																															|
% 46.43/15.77  																																| Combining equations (493,804) yields a new equation:
% 46.43/15.77  																																| (790) e4 = e3
% 46.43/15.77  																																|
% 46.43/15.77  																																| Simplifying 790 yields:
% 46.43/15.77  																																| (434) e4 = e3
% 46.43/15.77  																																|
% 46.43/15.77  																																| Equations (434) can reduce 177 to:
% 46.43/15.77  																																| (311) $false
% 46.43/15.77  																																|
% 46.43/15.77  																																|-The branch is then unsatisfiable
% 46.43/15.77  																												|-Branch two:
% 46.43/15.77  																												| (347)  ~ (all_0_82_82 = e2)
% 46.43/15.77  																												| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 46.43/15.77  																												|
% 46.43/15.77  																													+-Applying beta-rule and splitting (533), into two cases.
% 46.43/15.77  																													|-Branch one:
% 46.43/15.77  																													| (453) all_0_83_83 = e2
% 46.43/15.77  																													|
% 46.43/15.77  																														| Equations (453) can reduce 398 to:
% 46.43/15.77  																														| (311) $false
% 46.43/15.77  																														|
% 46.43/15.77  																														|-The branch is then unsatisfiable
% 46.43/15.77  																													|-Branch two:
% 46.43/15.77  																													| (398)  ~ (all_0_83_83 = e2)
% 46.43/15.77  																													| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 46.43/15.77  																													|
% 46.43/15.77  																														+-Applying beta-rule and splitting (537), into two cases.
% 46.43/15.77  																														|-Branch one:
% 46.43/15.77  																														| (552) all_0_84_84 = e2
% 46.43/15.77  																														|
% 46.43/15.77  																															| Equations (552) can reduce 612 to:
% 46.43/15.77  																															| (311) $false
% 46.43/15.77  																															|
% 46.43/15.77  																															|-The branch is then unsatisfiable
% 46.43/15.77  																														|-Branch two:
% 46.43/15.77  																														| (612)  ~ (all_0_84_84 = e2)
% 46.43/15.77  																														| (512) all_0_85_85 = e2
% 46.43/15.77  																														|
% 46.43/15.77  																															| Combining equations (493,512) yields a new equation:
% 46.43/15.77  																															| (309) e4 = e2
% 46.43/15.77  																															|
% 46.43/15.77  																															| Simplifying 309 yields:
% 46.43/15.77  																															| (310) e4 = e2
% 46.43/15.77  																															|
% 46.43/15.77  																															| Equations (310) can reduce 79 to:
% 46.43/15.77  																															| (311) $false
% 46.43/15.77  																															|
% 46.43/15.77  																															|-The branch is then unsatisfiable
% 46.43/15.77  																										|-Branch two:
% 46.43/15.77  																										| (387)  ~ (all_0_86_86 = e1)
% 46.43/15.77  																										| (378) all_0_86_86 = e0
% 46.43/15.77  																										|
% 46.43/15.77  																											| Equations (378) can reduce 381 to:
% 46.43/15.77  																											| (311) $false
% 46.43/15.77  																											|
% 46.43/15.77  																											|-The branch is then unsatisfiable
% 46.43/15.77  																								|-Branch two:
% 46.43/15.77  																								| (349)  ~ (all_0_87_87 = e2)
% 46.43/15.77  																								| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 46.43/15.77  																								|
% 46.43/15.77  																									+-Applying beta-rule and splitting (192), into two cases.
% 46.43/15.77  																									|-Branch one:
% 46.43/15.77  																									| (546) all_0_80_80 = e2
% 46.43/15.77  																									|
% 46.43/15.77  																										| Combining equations (546,416) yields a new equation:
% 46.43/15.77  																										| (548) e3 = e2
% 46.43/15.77  																										|
% 46.43/15.77  																										| Equations (548) can reduce 169 to:
% 46.43/15.77  																										| (311) $false
% 46.43/15.77  																										|
% 46.43/15.77  																										|-The branch is then unsatisfiable
% 46.43/15.77  																									|-Branch two:
% 46.43/15.77  																									| (394)  ~ (all_0_80_80 = e2)
% 46.43/15.77  																									| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 46.43/15.77  																									|
% 46.43/15.77  																										+-Applying beta-rule and splitting (208), into two cases.
% 46.43/15.77  																										|-Branch one:
% 46.43/15.77  																										| (345) all_0_86_86 = e2
% 46.43/15.77  																										|
% 46.43/15.77  																											| Equations (345) can reduce 162 to:
% 46.43/15.77  																											| (348)  ~ (all_0_87_87 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| Simplifying 348 yields:
% 46.43/15.77  																											| (349)  ~ (all_0_87_87 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| Equations (345) can reduce 91 to:
% 46.43/15.77  																											| (354)  ~ (all_0_95_95 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| Simplifying 354 yields:
% 46.43/15.77  																											| (355)  ~ (all_0_95_95 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| Equations (345) can reduce 241 to:
% 46.43/15.77  																											| (528)  ~ (e4 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| Simplifying 528 yields:
% 46.43/15.77  																											| (79)  ~ (e4 = e2)
% 46.43/15.77  																											|
% 46.43/15.77  																											| From (345) and (110) follows:
% 46.43/15.77  																											| (360) op(e3, e2) = all_0_46_46
% 46.43/15.77  																											|
% 46.43/15.77  																											+-Applying beta-rule and splitting (42), into two cases.
% 46.43/15.77  																											|-Branch one:
% 46.43/15.77  																											| (384) all_0_86_86 = e1
% 46.43/15.77  																											|
% 46.43/15.77  																												| Combining equations (345,384) yields a new equation:
% 46.43/15.77  																												| (408) e2 = e1
% 46.43/15.77  																												|
% 46.43/15.77  																												| Simplifying 408 yields:
% 46.43/15.77  																												| (385) e2 = e1
% 46.43/15.77  																												|
% 46.43/15.77  																												| Equations (385) can reduce 243 to:
% 46.43/15.77  																												| (311) $false
% 46.43/15.77  																												|
% 46.43/15.77  																												|-The branch is then unsatisfiable
% 46.43/15.77  																											|-Branch two:
% 46.43/15.77  																											| (387)  ~ (all_0_86_86 = e1)
% 46.43/15.77  																											| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 46.43/15.77  																											|
% 46.43/15.77  																												+-Applying beta-rule and splitting (551), into two cases.
% 46.43/15.77  																												|-Branch one:
% 46.43/15.77  																												| (552) all_0_84_84 = e2
% 46.43/15.77  																												|
% 46.43/15.77  																													| Equations (552) can reduce 87 to:
% 46.43/15.77  																													| (297)  ~ (all_0_92_92 = e2)
% 46.43/15.77  																													|
% 46.43/15.77  																													| Simplifying 297 yields:
% 46.43/15.77  																													| (298)  ~ (all_0_92_92 = e2)
% 46.43/15.77  																													|
% 46.43/15.77  																													| From (552) and (150) follows:
% 46.43/15.78  																													| (22965) op(e3, e2) = all_0_63_63
% 46.43/15.78  																													|
% 46.43/15.78  																													| From (552) and (232) follows:
% 46.43/15.78  																													| (22966) op(e3, e1) = e2
% 46.43/15.78  																													|
% 46.43/15.78  																													| From (552) and (122) follows:
% 46.43/15.78  																													| (555) op(e1, e2) = all_0_62_62
% 46.43/15.78  																													|
% 46.43/15.78  																													+-Applying beta-rule and splitting (388), into two cases.
% 46.43/15.78  																													|-Branch one:
% 46.43/15.78  																													| (482) all_0_87_87 = e1
% 46.43/15.78  																													|
% 46.43/15.78  																														| Equations (482) can reduce 94 to:
% 46.43/15.78  																														| (2131)  ~ (all_0_92_92 = e1)
% 46.43/15.78  																														|
% 46.43/15.78  																														| Simplifying 2131 yields:
% 46.43/15.78  																														| (840)  ~ (all_0_92_92 = e1)
% 46.43/15.78  																														|
% 46.43/15.78  																														| Equations (482) can reduce 216 to:
% 46.43/15.78  																														| (681)  ~ (e4 = e1)
% 46.43/15.78  																														|
% 46.43/15.78  																														| Simplifying 681 yields:
% 46.43/15.78  																														| (256)  ~ (e4 = e1)
% 46.43/15.78  																														|
% 46.43/15.78  																														| From (482) and (16) follows:
% 46.43/15.78  																														| (489) op(e1, e1) = all_0_64_64
% 46.43/15.78  																														|
% 46.43/15.78  																														+-Applying beta-rule and splitting (119), into two cases.
% 46.43/15.78  																														|-Branch one:
% 46.43/15.78  																														| (1343) all_0_92_92 = e2
% 46.43/15.78  																														|
% 46.43/15.78  																															| Equations (1343) can reduce 298 to:
% 46.43/15.78  																															| (311) $false
% 46.43/15.78  																															|
% 46.43/15.78  																															|-The branch is then unsatisfiable
% 46.43/15.78  																														|-Branch two:
% 46.43/15.78  																														| (298)  ~ (all_0_92_92 = e2)
% 46.43/15.78  																														| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.43/15.78  																														|
% 46.43/15.78  																															+-Applying beta-rule and splitting (3735), into two cases.
% 46.43/15.78  																															|-Branch one:
% 46.43/15.78  																															| (836) all_0_92_92 = e1
% 46.43/15.78  																															|
% 46.43/15.78  																																| Equations (836) can reduce 840 to:
% 46.43/15.78  																																| (311) $false
% 46.43/15.78  																																|
% 46.43/15.78  																																|-The branch is then unsatisfiable
% 46.43/15.78  																															|-Branch two:
% 46.43/15.78  																															| (840)  ~ (all_0_92_92 = e1)
% 46.43/15.78  																															| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.43/15.78  																															|
% 46.43/15.78  																																+-Applying beta-rule and splitting (3800), into two cases.
% 46.43/15.78  																																|-Branch one:
% 46.43/15.78  																																| (882) all_0_92_92 = e3
% 46.43/15.78  																																|
% 46.43/15.78  																																	| Equations (882) can reduce 426 to:
% 46.43/15.78  																																	| (311) $false
% 46.43/15.78  																																	|
% 46.43/15.78  																																	|-The branch is then unsatisfiable
% 46.43/15.78  																																|-Branch two:
% 46.43/15.78  																																| (426)  ~ (all_0_92_92 = e3)
% 46.43/15.78  																																| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 46.43/15.78  																																|
% 46.43/15.78  																																	+-Applying beta-rule and splitting (16683), into two cases.
% 46.43/15.78  																																	|-Branch one:
% 46.43/15.78  																																	| (942) all_0_92_92 = e0
% 46.43/15.78  																																	|
% 46.43/15.78  																																		| Equations (942) can reduce 1619 to:
% 46.43/15.78  																																		| (904)  ~ (e4 = e0)
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Simplifying 904 yields:
% 46.43/15.78  																																		| (23)  ~ (e4 = e0)
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Equations (942) can reduce 298 to:
% 46.43/15.78  																																		| (510)  ~ (e2 = e0)
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Simplifying 510 yields:
% 46.43/15.78  																																		| (76)  ~ (e2 = e0)
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| From (942) and (135) follows:
% 46.43/15.78  																																		| (4548) op(e1, e1) = e0
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Instantiating formula (262) with e3, e2, all_0_46_46, all_0_83_83 and discharging atoms op(e3, e2) = all_0_46_46, op(e3, e2) = all_0_83_83, yields:
% 46.43/15.78  																																		| (363) all_0_46_46 = all_0_83_83
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Instantiating formula (262) with e3, e2, all_0_63_63, all_0_46_46 and discharging atoms op(e3, e2) = all_0_46_46, op(e3, e2) = all_0_63_63, yields:
% 46.43/15.78  																																		| (33513) all_0_46_46 = all_0_63_63
% 46.43/15.78  																																		|
% 46.43/15.78  																																		| Instantiating formula (262) with e1, e2, all_0_62_62, all_0_91_91 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = all_0_91_91, yields:
% 46.44/15.78  																																		| (574) all_0_62_62 = all_0_91_91
% 46.44/15.78  																																		|
% 46.44/15.78  																																		| Instantiating formula (262) with e1, e1, e0, all_0_64_64 and discharging atoms op(e1, e1) = all_0_64_64, op(e1, e1) = e0, yields:
% 46.44/15.78  																																		| (5547) all_0_64_64 = e0
% 46.44/15.78  																																		|
% 46.44/15.78  																																		| Combining equations (363,33513) yields a new equation:
% 46.44/15.78  																																		| (32328) all_0_63_63 = all_0_83_83
% 46.44/15.78  																																		|
% 46.44/15.79  																																		| Combining equations (32328,33513) yields a new equation:
% 46.44/15.79  																																		| (363) all_0_46_46 = all_0_83_83
% 46.44/15.79  																																		|
% 46.44/15.79  																																		+-Applying beta-rule and splitting (276), into two cases.
% 46.44/15.79  																																		|-Branch one:
% 46.44/15.79  																																		| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.44/15.79  																																		|
% 46.44/15.79  																																			+-Applying beta-rule and splitting (577), into two cases.
% 46.44/15.79  																																			|-Branch one:
% 46.44/15.79  																																			| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.44/15.79  																																			|
% 46.44/15.79  																																				+-Applying beta-rule and splitting (578), into two cases.
% 46.44/15.79  																																				|-Branch one:
% 46.44/15.79  																																				| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.44/15.79  																																				|
% 46.44/15.79  																																					| Applying alpha-rule on (579) yields:
% 46.44/15.79  																																					| (580) all_0_60_60 = e4
% 46.44/15.79  																																					| (581)  ~ (all_0_61_61 = e1)
% 46.44/15.79  																																					|
% 46.44/15.79  																																					| Combining equations (451,580) yields a new equation:
% 46.44/15.79  																																					| (582) all_0_90_90 = e4
% 46.44/15.79  																																					|
% 46.44/15.79  																																					| Simplifying 582 yields:
% 46.44/15.79  																																					| (583) all_0_90_90 = e4
% 46.44/15.81  																																					|
% 46.44/15.81  																																					| Equations (583) can reduce 467 to:
% 46.44/15.81  																																					| (311) $false
% 46.44/15.81  																																					|
% 46.44/15.81  																																					|-The branch is then unsatisfiable
% 46.44/15.81  																																				|-Branch two:
% 46.44/15.81  																																				| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.44/15.81  																																				|
% 46.44/15.81  																																					| Applying alpha-rule on (585) yields:
% 46.44/15.81  																																					| (586) all_0_62_62 = e3
% 46.44/15.81  																																					| (587)  ~ (all_0_63_63 = e1)
% 46.44/15.81  																																					|
% 46.44/15.81  																																					| Combining equations (586,574) yields a new equation:
% 46.44/15.81  																																					| (588) all_0_91_91 = e3
% 46.44/15.81  																																					|
% 46.57/15.81  																																					| Equations (32328) can reduce 587 to:
% 46.57/15.81  																																					| (113)  ~ (all_0_83_83 = e1)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					| Equations (588) can reduce 103 to:
% 46.57/15.81  																																					| (745)  ~ (all_0_90_90 = e3)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					| Equations (588) can reduce 64 to:
% 46.57/15.81  																																					| (1300)  ~ (all_0_96_96 = e3)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					| Simplifying 1300 yields:
% 46.57/15.81  																																					| (964)  ~ (all_0_96_96 = e3)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					| Equations (588) can reduce 133 to:
% 46.57/15.81  																																					| (783)  ~ (e4 = e3)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					| Simplifying 783 yields:
% 46.57/15.81  																																					| (177)  ~ (e4 = e3)
% 46.57/15.81  																																					|
% 46.57/15.81  																																					+-Applying beta-rule and splitting (220), into two cases.
% 46.57/15.81  																																					|-Branch one:
% 46.57/15.81  																																					| (771) all_0_78_78 = e3
% 46.57/15.81  																																					|
% 46.57/15.81  																																						| Combining equations (463,771) yields a new equation:
% 46.57/15.81  																																						| (790) e4 = e3
% 46.57/15.81  																																						|
% 46.57/15.81  																																						| Simplifying 790 yields:
% 46.57/15.81  																																						| (434) e4 = e3
% 46.57/15.81  																																						|
% 46.57/15.81  																																						| Equations (434) can reduce 177 to:
% 46.57/15.81  																																						| (311) $false
% 46.57/15.81  																																						|
% 46.57/15.81  																																						|-The branch is then unsatisfiable
% 46.57/15.81  																																					|-Branch two:
% 46.57/15.81  																																					| (418)  ~ (all_0_78_78 = e3)
% 46.57/15.81  																																					| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.57/15.81  																																					|
% 46.57/15.81  																																						+-Applying beta-rule and splitting (775), into two cases.
% 46.57/15.81  																																						|-Branch one:
% 46.57/15.81  																																						| (789) all_0_82_82 = e3
% 46.57/15.81  																																						|
% 46.57/15.81  																																							| Equations (789) can reduce 116 to:
% 46.57/15.81  																																							| (12083)  ~ (all_0_83_83 = e3)
% 46.57/15.81  																																							|
% 46.57/15.81  																																							| Simplifying 12083 yields:
% 46.57/15.81  																																							| (779)  ~ (all_0_83_83 = e3)
% 46.57/15.81  																																							|
% 46.57/15.81  																																							| Equations (789) can reduce 255 to:
% 46.57/15.81  																																							| (1815)  ~ (all_0_90_90 = e3)
% 46.57/15.81  																																							|
% 46.57/15.81  																																							| Simplifying 1815 yields:
% 46.57/15.81  																																							| (745)  ~ (all_0_90_90 = e3)
% 46.57/15.81  																																							|
% 46.57/15.81  																																							| Equations (789) can reduce 198 to:
% 46.57/15.81  																																							| (20)  ~ (e3 = e1)
% 46.57/15.81  																																							|
% 46.57/15.81  																																							+-Applying beta-rule and splitting (456), into two cases.
% 46.57/15.81  																																							|-Branch one:
% 46.57/15.81  																																							| (795) all_0_83_83 = e3
% 46.57/15.81  																																							|
% 46.57/15.81  																																								| Equations (795) can reduce 779 to:
% 46.57/15.81  																																								| (311) $false
% 46.57/15.81  																																								|
% 46.57/15.81  																																								|-The branch is then unsatisfiable
% 46.57/15.81  																																							|-Branch two:
% 46.57/15.81  																																							| (779)  ~ (all_0_83_83 = e3)
% 46.57/15.81  																																							| (798) all_0_83_83 = e0
% 46.57/15.81  																																							|
% 46.57/15.81  																																								| Combining equations (798,363) yields a new equation:
% 46.57/15.81  																																								| (10066) all_0_46_46 = e0
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Equations (798) can reduce 211 to:
% 46.57/15.81  																																								| (2296)  ~ (all_0_96_96 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Simplifying 2296 yields:
% 46.57/15.81  																																								| (2095)  ~ (all_0_96_96 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Equations (798) can reduce 155 to:
% 46.57/15.81  																																								| (904)  ~ (e4 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Simplifying 904 yields:
% 46.57/15.81  																																								| (23)  ~ (e4 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Equations (798) can reduce 779 to:
% 46.57/15.81  																																								| (906)  ~ (e3 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Simplifying 906 yields:
% 46.57/15.81  																																								| (50)  ~ (e3 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Equations (798) can reduce 113 to:
% 46.57/15.81  																																								| (859)  ~ (e1 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| Simplifying 859 yields:
% 46.57/15.81  																																								| (264)  ~ (e1 = e0)
% 46.57/15.81  																																								|
% 46.57/15.81  																																								| From (798) and (163) follows:
% 46.57/15.81  																																								| (1036) op(e3, e0) = all_0_55_55
% 46.57/15.81  																																								|
% 46.57/15.81  																																								+-Applying beta-rule and splitting (102), into two cases.
% 46.57/15.81  																																								|-Branch one:
% 46.57/15.81  																																								| (858) all_0_95_95 = e0
% 46.57/15.81  																																								|
% 46.57/15.81  																																									| Equations (858) can reduce 279 to:
% 46.57/15.81  																																									| (2296)  ~ (all_0_96_96 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| Simplifying 2296 yields:
% 46.57/15.81  																																									| (2095)  ~ (all_0_96_96 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| Equations (858) can reduce 315 to:
% 46.57/15.81  																																									| (904)  ~ (e4 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| Simplifying 904 yields:
% 46.57/15.81  																																									| (23)  ~ (e4 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| Equations (858) can reduce 355 to:
% 46.57/15.81  																																									| (510)  ~ (e2 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| Simplifying 510 yields:
% 46.57/15.81  																																									| (76)  ~ (e2 = e0)
% 46.57/15.81  																																									|
% 46.57/15.81  																																									| From (858) and (121) follows:
% 46.57/15.81  																																									| (32409) op(e3, e0) = all_0_50_50
% 46.57/15.81  																																									|
% 46.57/15.81  																																									+-Applying beta-rule and splitting (176), into two cases.
% 46.57/15.81  																																									|-Branch one:
% 46.57/15.81  																																									| (785) all_0_95_95 = e1
% 46.57/15.81  																																									|
% 46.57/15.81  																																										| Combining equations (858,785) yields a new equation:
% 46.57/15.81  																																										| (865) e1 = e0
% 46.57/15.81  																																										|
% 46.57/15.81  																																										| Equations (865) can reduce 264 to:
% 46.57/15.81  																																										| (311) $false
% 46.57/15.81  																																										|
% 46.57/15.81  																																										|-The branch is then unsatisfiable
% 46.57/15.81  																																									|-Branch two:
% 46.57/15.81  																																									| (680)  ~ (all_0_95_95 = e1)
% 46.57/15.81  																																									| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.57/15.81  																																									|
% 46.57/15.81  																																										+-Applying beta-rule and splitting (84), into two cases.
% 46.57/15.81  																																										|-Branch one:
% 46.57/15.81  																																										| (1704) all_0_96_96 = e2
% 46.57/15.81  																																										|
% 46.57/15.81  																																											| Equations (1704) can reduce 1638 to:
% 46.57/15.81  																																											| (311) $false
% 46.57/15.81  																																											|
% 46.57/15.81  																																											|-The branch is then unsatisfiable
% 46.57/15.81  																																										|-Branch two:
% 46.57/15.81  																																										| (1638)  ~ (all_0_96_96 = e2)
% 46.57/15.81  																																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.57/15.81  																																										|
% 46.57/15.81  																																											+-Applying beta-rule and splitting (188), into two cases.
% 46.57/15.81  																																											|-Branch one:
% 46.57/15.81  																																											| (676) all_0_78_78 = e1
% 46.57/15.81  																																											|
% 46.57/15.81  																																												| Combining equations (463,676) yields a new equation:
% 46.57/15.81  																																												| (813) e4 = e1
% 46.57/15.81  																																												|
% 46.57/15.81  																																												| Simplifying 813 yields:
% 46.57/15.81  																																												| (814) e4 = e1
% 46.57/15.81  																																												|
% 46.57/15.81  																																												| Equations (814) can reduce 256 to:
% 46.57/15.81  																																												| (311) $false
% 46.57/15.81  																																												|
% 46.57/15.81  																																												|-The branch is then unsatisfiable
% 46.57/15.81  																																											|-Branch two:
% 46.57/15.81  																																											| (1601)  ~ (all_0_78_78 = e1)
% 46.57/15.81  																																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.57/15.81  																																											|
% 46.57/15.81  																																												+-Applying beta-rule and splitting (132), into two cases.
% 46.57/15.81  																																												|-Branch one:
% 46.57/15.81  																																												| (750) all_0_90_90 = e1
% 46.57/15.81  																																												|
% 46.57/15.81  																																													| Equations (750) can reduce 745 to:
% 46.57/15.81  																																													| (683)  ~ (e3 = e1)
% 46.57/15.81  																																													|
% 46.57/15.81  																																													| Simplifying 683 yields:
% 46.57/15.81  																																													| (20)  ~ (e3 = e1)
% 46.57/15.81  																																													|
% 46.57/15.81  																																													| From (750) and (217) follows:
% 46.57/15.81  																																													| (10289) op(e3, e1) = all_0_48_48
% 46.57/15.81  																																													|
% 46.57/15.81  																																													+-Applying beta-rule and splitting (788), into two cases.
% 46.57/15.81  																																													|-Branch one:
% 46.57/15.81  																																													| (960) all_0_96_96 = e1
% 46.57/15.81  																																													|
% 46.57/15.81  																																														| Equations (960) can reduce 115 to:
% 46.57/15.81  																																														| (681)  ~ (e4 = e1)
% 46.57/15.81  																																														|
% 46.57/15.81  																																														| Simplifying 681 yields:
% 46.57/15.81  																																														| (256)  ~ (e4 = e1)
% 46.57/15.81  																																														|
% 46.57/15.81  																																														| Equations (960) can reduce 1638 to:
% 46.57/15.81  																																														| (487)  ~ (e2 = e1)
% 46.57/15.81  																																														|
% 46.57/15.81  																																														| Simplifying 487 yields:
% 46.57/15.81  																																														| (243)  ~ (e2 = e1)
% 46.57/15.81  																																														|
% 46.57/15.81  																																														| Instantiating formula (262) with e3, e1, all_0_48_48, e2 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = e2, yields:
% 46.57/15.82  																																														| (33594) all_0_48_48 = e2
% 46.57/15.82  																																														|
% 46.57/15.82  																																														| Instantiating formula (262) with e3, e0, all_0_50_50, e4 and discharging atoms op(e3, e0) = all_0_50_50, op(e3, e0) = e4, yields:
% 46.57/15.82  																																														| (10303) all_0_50_50 = e4
% 46.57/15.82  																																														|
% 46.57/15.82  																																														| Instantiating formula (262) with e3, e0, all_0_55_55, all_0_50_50 and discharging atoms op(e3, e0) = all_0_50_50, op(e3, e0) = all_0_55_55, yields:
% 46.57/15.82  																																														| (13436) all_0_50_50 = all_0_55_55
% 46.57/15.82  																																														|
% 46.57/15.82  																																														| Combining equations (10303,13436) yields a new equation:
% 46.57/15.82  																																														| (32430) all_0_55_55 = e4
% 46.57/15.82  																																														|
% 46.57/15.82  																																														| Combining equations (32430,13436) yields a new equation:
% 46.57/15.82  																																														| (10303) all_0_50_50 = e4
% 46.57/15.82  																																														|
% 46.57/15.82  																																														+-Applying beta-rule and splitting (186), into two cases.
% 46.57/15.82  																																														|-Branch one:
% 46.57/15.82  																																														| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 46.57/15.82  																																														|
% 46.57/15.82  																																															+-Applying beta-rule and splitting (726), into two cases.
% 46.57/15.82  																																															|-Branch one:
% 46.57/15.82  																																															| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 46.57/15.82  																																															|
% 46.57/15.82  																																																+-Applying beta-rule and splitting (727), into two cases.
% 46.57/15.82  																																																|-Branch one:
% 46.57/15.82  																																																| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 46.57/15.82  																																																|
% 46.57/15.82  																																																	| Applying alpha-rule on (728) yields:
% 46.57/15.82  																																																	| (729) all_0_43_43 = e4
% 46.57/15.82  																																																	| (730)  ~ (all_0_44_44 = e3)
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	| Combining equations (729,12276) yields a new equation:
% 46.57/15.82  																																																	| (813) e4 = e1
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	| Simplifying 813 yields:
% 46.57/15.82  																																																	| (814) e4 = e1
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	| Equations (814) can reduce 256 to:
% 46.57/15.82  																																																	| (311) $false
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	|-The branch is then unsatisfiable
% 46.57/15.82  																																																|-Branch two:
% 46.57/15.82  																																																| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 46.57/15.82  																																																|
% 46.57/15.82  																																																	| Applying alpha-rule on (734) yields:
% 46.57/15.82  																																																	| (735) all_0_46_46 = e2
% 46.57/15.82  																																																	| (736)  ~ (all_0_47_47 = e3)
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	| Combining equations (10066,735) yields a new equation:
% 46.57/15.82  																																																	| (379) e2 = e0
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	| Equations (379) can reduce 76 to:
% 46.57/15.82  																																																	| (311) $false
% 46.57/15.82  																																																	|
% 46.57/15.82  																																																	|-The branch is then unsatisfiable
% 46.57/15.82  																																															|-Branch two:
% 46.57/15.82  																																															| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 46.57/15.82  																																															|
% 46.57/15.82  																																																| Applying alpha-rule on (740) yields:
% 46.57/15.82  																																																| (741) all_0_48_48 = e1
% 46.57/15.82  																																																| (742)  ~ (all_0_49_49 = e3)
% 46.57/15.82  																																																|
% 46.57/15.82  																																																| Combining equations (741,33594) yields a new equation:
% 46.57/15.82  																																																| (385) e2 = e1
% 46.57/15.82  																																																|
% 46.57/15.82  																																																| Equations (385) can reduce 243 to:
% 46.57/15.82  																																																| (311) $false
% 46.57/15.82  																																																|
% 46.57/15.82  																																																|-The branch is then unsatisfiable
% 46.57/15.82  																																														|-Branch two:
% 46.57/15.82  																																														| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 46.57/15.82  																																														|
% 46.57/15.82  																																															| Applying alpha-rule on (973) yields:
% 46.57/15.82  																																															| (974) all_0_50_50 = e0
% 46.57/15.82  																																															| (975)  ~ (all_0_51_51 = e3)
% 46.57/15.82  																																															|
% 46.57/15.82  																																															| Combining equations (10303,974) yields a new equation:
% 46.57/15.82  																																															| (911) e4 = e0
% 46.57/15.82  																																															|
% 46.57/15.82  																																															| Simplifying 911 yields:
% 46.57/15.82  																																															| (912) e4 = e0
% 46.57/15.82  																																															|
% 46.57/15.82  																																															| Equations (912) can reduce 23 to:
% 46.57/15.82  																																															| (311) $false
% 46.57/15.82  																																															|
% 46.57/15.82  																																															|-The branch is then unsatisfiable
% 46.57/15.82  																																													|-Branch two:
% 46.57/15.82  																																													| (1479)  ~ (all_0_96_96 = e1)
% 46.57/15.82  																																													| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.57/15.82  																																													|
% 46.57/15.82  																																														+-Applying beta-rule and splitting (1707), into two cases.
% 46.57/15.82  																																														|-Branch one:
% 46.57/15.82  																																														| (960) all_0_96_96 = e1
% 46.57/15.82  																																														|
% 46.57/15.82  																																															| Equations (960) can reduce 1479 to:
% 46.57/15.82  																																															| (311) $false
% 46.57/15.82  																																															|
% 46.57/15.82  																																															|-The branch is then unsatisfiable
% 46.57/15.82  																																														|-Branch two:
% 46.57/15.82  																																														| (1479)  ~ (all_0_96_96 = e1)
% 46.57/15.82  																																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.57/15.82  																																														|
% 46.57/15.82  																																															+-Applying beta-rule and splitting (462), into two cases.
% 46.57/15.82  																																															|-Branch one:
% 46.57/15.82  																																															| (801) all_0_91_91 = e1
% 46.57/15.82  																																															|
% 46.57/15.82  																																																| Combining equations (588,801) yields a new equation:
% 46.57/15.82  																																																| (825) e3 = e1
% 46.57/15.82  																																																|
% 46.57/15.82  																																																| Simplifying 825 yields:
% 46.57/15.82  																																																| (772) e3 = e1
% 46.57/15.82  																																																|
% 46.60/15.82  																																																| Equations (772) can reduce 20 to:
% 46.60/15.82  																																																| (311) $false
% 46.60/15.82  																																																|
% 46.60/15.82  																																																|-The branch is then unsatisfiable
% 46.60/15.82  																																															|-Branch two:
% 46.60/15.82  																																															| (959)  ~ (all_0_91_91 = e1)
% 46.60/15.82  																																															| (960) all_0_96_96 = e1
% 46.60/15.82  																																															|
% 46.60/15.82  																																																| Equations (960) can reduce 1479 to:
% 46.60/15.82  																																																| (311) $false
% 46.60/15.82  																																																|
% 46.60/15.82  																																																|-The branch is then unsatisfiable
% 46.60/15.82  																																												|-Branch two:
% 46.60/15.82  																																												| (678)  ~ (all_0_90_90 = e1)
% 46.60/15.82  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.60/15.82  																																												|
% 46.60/15.82  																																													+-Applying beta-rule and splitting (1707), into two cases.
% 46.60/15.82  																																													|-Branch one:
% 46.60/15.82  																																													| (960) all_0_96_96 = e1
% 46.60/15.82  																																													|
% 46.60/15.82  																																														| Equations (960) can reduce 964 to:
% 46.60/15.82  																																														| (683)  ~ (e3 = e1)
% 46.60/15.82  																																														|
% 46.60/15.82  																																														| Simplifying 683 yields:
% 46.60/15.82  																																														| (20)  ~ (e3 = e1)
% 46.60/15.82  																																														|
% 46.60/15.82  																																														| Equations (960) can reduce 1638 to:
% 46.60/15.82  																																														| (487)  ~ (e2 = e1)
% 46.60/15.82  																																														|
% 46.60/15.82  																																														| Simplifying 487 yields:
% 46.60/15.82  																																														| (243)  ~ (e2 = e1)
% 46.60/15.82  																																														|
% 46.60/15.82  																																														| Equations (960) can reduce 2095 to:
% 46.60/15.82  																																														| (264)  ~ (e1 = e0)
% 46.60/15.82  																																														|
% 46.60/15.82  																																														+-Applying beta-rule and splitting (1718), into two cases.
% 46.60/15.82  																																														|-Branch one:
% 46.60/15.82  																																														| (384) all_0_86_86 = e1
% 46.60/15.82  																																														|
% 46.60/15.82  																																															| Combining equations (345,384) yields a new equation:
% 46.60/15.82  																																															| (408) e2 = e1
% 46.60/15.82  																																															|
% 46.60/15.82  																																															| Simplifying 408 yields:
% 46.60/15.82  																																															| (385) e2 = e1
% 46.60/15.82  																																															|
% 46.60/15.82  																																															| Equations (385) can reduce 243 to:
% 46.60/15.82  																																															| (311) $false
% 46.60/15.82  																																															|
% 46.60/15.82  																																															|-The branch is then unsatisfiable
% 46.60/15.82  																																														|-Branch two:
% 46.60/15.82  																																														| (387)  ~ (all_0_86_86 = e1)
% 46.60/15.82  																																														| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.60/15.82  																																														|
% 46.60/15.82  																																															| Equations (345) can reduce 387 to:
% 46.60/15.82  																																															| (243)  ~ (e2 = e1)
% 46.60/15.82  																																															|
% 46.60/15.82  																																															+-Applying beta-rule and splitting (1526), into two cases.
% 46.60/15.82  																																															|-Branch one:
% 46.60/15.82  																																															| (801) all_0_91_91 = e1
% 46.60/15.82  																																															|
% 46.60/15.82  																																																| Combining equations (588,801) yields a new equation:
% 46.60/15.82  																																																| (825) e3 = e1
% 46.60/15.82  																																																|
% 46.60/15.82  																																																| Simplifying 825 yields:
% 46.60/15.82  																																																| (772) e3 = e1
% 46.60/15.82  																																																|
% 46.60/15.82  																																																| Equations (772) can reduce 20 to:
% 46.60/15.82  																																																| (311) $false
% 46.60/15.82  																																																|
% 46.60/15.82  																																																|-The branch is then unsatisfiable
% 46.60/15.82  																																															|-Branch two:
% 46.60/15.82  																																															| (959)  ~ (all_0_91_91 = e1)
% 46.60/15.82  																																															| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.60/15.82  																																															|
% 46.60/15.82  																																																+-Applying beta-rule and splitting (1556), into two cases.
% 46.60/15.82  																																																|-Branch one:
% 46.60/15.82  																																																| (836) all_0_92_92 = e1
% 46.60/15.82  																																																|
% 46.60/15.82  																																																	| Combining equations (942,836) yields a new equation:
% 46.60/15.82  																																																	| (865) e1 = e0
% 46.60/15.82  																																																	|
% 46.60/15.82  																																																	| Equations (865) can reduce 264 to:
% 46.60/15.82  																																																	| (311) $false
% 46.60/15.82  																																																	|
% 46.60/15.82  																																																	|-The branch is then unsatisfiable
% 46.60/15.82  																																																|-Branch two:
% 46.60/15.82  																																																| (840)  ~ (all_0_92_92 = e1)
% 46.60/15.82  																																																| (566) all_0_93_93 = e1
% 46.60/15.82  																																																|
% 46.60/15.82  																																																	| Combining equations (566,522) yields a new equation:
% 46.60/15.82  																																																	| (385) e2 = e1
% 46.60/15.82  																																																	|
% 46.60/15.82  																																																	| Equations (385) can reduce 243 to:
% 46.60/15.82  																																																	| (311) $false
% 46.60/15.82  																																																	|
% 46.60/15.82  																																																	|-The branch is then unsatisfiable
% 46.60/15.83  																																													|-Branch two:
% 46.60/15.83  																																													| (1479)  ~ (all_0_96_96 = e1)
% 46.60/15.83  																																													| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.60/15.83  																																													|
% 46.60/15.83  																																														+-Applying beta-rule and splitting (788), into two cases.
% 46.60/15.83  																																														|-Branch one:
% 46.60/15.83  																																														| (960) all_0_96_96 = e1
% 46.60/15.83  																																														|
% 46.60/15.83  																																															| Equations (960) can reduce 1479 to:
% 46.60/15.83  																																															| (311) $false
% 46.60/15.83  																																															|
% 46.60/15.83  																																															|-The branch is then unsatisfiable
% 46.60/15.83  																																														|-Branch two:
% 46.60/15.83  																																														| (1479)  ~ (all_0_96_96 = e1)
% 46.60/15.83  																																														| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.60/15.83  																																														|
% 46.60/15.83  																																															+-Applying beta-rule and splitting (462), into two cases.
% 46.60/15.83  																																															|-Branch one:
% 46.60/15.83  																																															| (801) all_0_91_91 = e1
% 46.60/15.83  																																															|
% 46.60/15.83  																																																| Combining equations (588,801) yields a new equation:
% 46.60/15.83  																																																| (825) e3 = e1
% 46.60/15.83  																																																|
% 46.60/15.83  																																																| Simplifying 825 yields:
% 46.60/15.83  																																																| (772) e3 = e1
% 46.60/15.83  																																																|
% 46.60/15.83  																																																| Equations (772) can reduce 20 to:
% 46.60/15.83  																																																| (311) $false
% 46.60/15.83  																																																|
% 46.60/15.83  																																																|-The branch is then unsatisfiable
% 46.60/15.83  																																															|-Branch two:
% 46.60/15.83  																																															| (959)  ~ (all_0_91_91 = e1)
% 46.60/15.83  																																															| (960) all_0_96_96 = e1
% 46.60/15.83  																																															|
% 46.60/15.83  																																																| Equations (960) can reduce 1479 to:
% 46.60/15.83  																																																| (311) $false
% 46.60/15.83  																																																|
% 46.60/15.83  																																																|-The branch is then unsatisfiable
% 46.60/15.83  																																								|-Branch two:
% 46.60/15.83  																																								| (893)  ~ (all_0_95_95 = e0)
% 46.60/15.83  																																								| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.60/15.83  																																								|
% 46.60/15.83  																																									+-Applying beta-rule and splitting (1921), into two cases.
% 46.60/15.83  																																									|-Branch one:
% 46.60/15.83  																																									| (1837) all_0_96_96 = e0
% 46.60/15.83  																																									|
% 46.60/15.83  																																										| Equations (1837) can reduce 2095 to:
% 46.60/15.83  																																										| (311) $false
% 46.60/15.83  																																										|
% 46.60/15.83  																																										|-The branch is then unsatisfiable
% 46.60/15.83  																																									|-Branch two:
% 46.60/15.83  																																									| (2095)  ~ (all_0_96_96 = e0)
% 46.60/15.83  																																									| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.60/15.83  																																									|
% 46.60/15.83  																																										+-Applying beta-rule and splitting (2096), into two cases.
% 46.60/15.83  																																										|-Branch one:
% 46.60/15.83  																																										| (560) all_0_97_97 = e0
% 46.60/15.83  																																										|
% 46.60/15.83  																																											| Combining equations (610,560) yields a new equation:
% 46.60/15.83  																																											| (911) e4 = e0
% 46.60/15.83  																																											|
% 46.60/15.83  																																											| Simplifying 911 yields:
% 46.60/15.83  																																											| (912) e4 = e0
% 46.60/15.83  																																											|
% 46.60/15.83  																																											| Equations (912) can reduce 23 to:
% 46.60/15.83  																																											| (311) $false
% 46.60/15.83  																																											|
% 46.60/15.83  																																											|-The branch is then unsatisfiable
% 46.60/15.83  																																										|-Branch two:
% 46.60/15.83  																																										| (609)  ~ (all_0_97_97 = e0)
% 46.60/15.83  																																										| (1121) all_0_98_98 = e0
% 46.60/15.83  																																										|
% 46.60/15.83  																																											| Combining equations (1121,969) yields a new equation:
% 46.60/15.83  																																											| (600) e3 = e0
% 46.60/15.83  																																											|
% 46.60/15.83  																																											| Equations (600) can reduce 50 to:
% 46.60/15.83  																																											| (311) $false
% 46.60/15.83  																																											|
% 46.60/15.83  																																											|-The branch is then unsatisfiable
% 46.60/15.83  																																						|-Branch two:
% 46.60/15.83  																																						| (793)  ~ (all_0_82_82 = e3)
% 46.60/15.83  																																						| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.60/15.83  																																						|
% 46.60/15.83  																																							+-Applying beta-rule and splitting (794), into two cases.
% 46.60/15.83  																																							|-Branch one:
% 46.60/15.83  																																							| (754) all_0_90_90 = e3
% 46.60/15.83  																																							|
% 46.60/15.83  																																								| Equations (754) can reduce 745 to:
% 46.60/15.83  																																								| (311) $false
% 46.60/15.83  																																								|
% 46.60/15.83  																																								|-The branch is then unsatisfiable
% 46.60/15.83  																																							|-Branch two:
% 46.60/15.83  																																							| (745)  ~ (all_0_90_90 = e3)
% 46.60/15.83  																																							| (744) all_0_95_95 = e3
% 46.60/15.83  																																							|
% 46.60/15.83  																																								| Equations (744) can reduce 765 to:
% 46.60/15.83  																																								| (311) $false
% 46.60/15.83  																																								|
% 46.60/15.83  																																								|-The branch is then unsatisfiable
% 46.60/15.83  																																			|-Branch two:
% 46.60/15.83  																																			| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.60/15.83  																																			|
% 46.60/15.83  																																				| Applying alpha-rule on (590) yields:
% 46.60/15.83  																																				| (591) all_0_64_64 = e2
% 46.60/15.83  																																				| (592)  ~ (all_0_65_65 = e1)
% 46.60/15.83  																																				|
% 46.60/15.83  																																				| Combining equations (591,5547) yields a new equation:
% 46.60/15.83  																																				| (923) e2 = e0
% 46.60/15.83  																																				|
% 46.60/15.83  																																				| Simplifying 923 yields:
% 46.60/15.83  																																				| (379) e2 = e0
% 46.60/15.83  																																				|
% 46.60/15.83  																																				| Equations (379) can reduce 76 to:
% 46.60/15.83  																																				| (311) $false
% 46.60/15.83  																																				|
% 46.60/15.83  																																				|-The branch is then unsatisfiable
% 46.60/15.83  																																		|-Branch two:
% 46.60/15.83  																																		| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.60/15.83  																																		|
% 46.60/15.83  																																			| Applying alpha-rule on (596) yields:
% 46.60/15.83  																																			| (597) all_0_67_67 = e0
% 46.60/15.83  																																			| (598)  ~ (all_0_68_68 = e1)
% 46.60/15.83  																																			|
% 46.60/15.83  																																			| Combining equations (3520,597) yields a new equation:
% 46.60/15.83  																																			| (911) e4 = e0
% 46.60/15.83  																																			|
% 46.60/15.83  																																			| Simplifying 911 yields:
% 46.60/15.83  																																			| (912) e4 = e0
% 46.60/15.83  																																			|
% 46.60/15.83  																																			| Equations (912) can reduce 23 to:
% 46.60/15.83  																																			| (311) $false
% 46.60/15.83  																																			|
% 46.60/15.83  																																			|-The branch is then unsatisfiable
% 46.60/15.83  																																	|-Branch two:
% 46.60/15.83  																																	| (946)  ~ (all_0_92_92 = e0)
% 46.60/15.83  																																	| (442) all_0_92_92 = e4
% 46.60/15.83  																																	|
% 46.60/15.83  																																		| Equations (442) can reduce 1619 to:
% 46.60/15.83  																																		| (311) $false
% 46.60/15.83  																																		|
% 46.60/15.83  																																		|-The branch is then unsatisfiable
% 46.60/15.83  																													|-Branch two:
% 46.60/15.83  																													| (625)  ~ (all_0_87_87 = e1)
% 46.60/15.83  																													| (504) all_0_88_88 = e1
% 46.60/15.83  																													|
% 46.60/15.83  																														| Combining equations (504,507) yields a new equation:
% 46.60/15.83  																														| (1107) e1 = e0
% 46.60/15.83  																														|
% 46.60/15.83  																														| Simplifying 1107 yields:
% 46.60/15.83  																														| (865) e1 = e0
% 46.60/15.83  																														|
% 46.60/15.83  																														| Equations (865) can reduce 264 to:
% 46.60/15.83  																														| (311) $false
% 46.60/15.83  																														|
% 46.60/15.83  																														|-The branch is then unsatisfiable
% 46.60/15.83  																												|-Branch two:
% 46.60/15.83  																												| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.83  																												| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 46.60/15.83  																												|
% 46.60/15.83  																													+-Applying beta-rule and splitting (388), into two cases.
% 46.60/15.83  																													|-Branch one:
% 46.60/15.83  																													| (482) all_0_87_87 = e1
% 46.60/15.83  																													|
% 46.60/15.83  																														| Equations (482) can reduce 349 to:
% 46.60/15.83  																														| (487)  ~ (e2 = e1)
% 46.60/15.83  																														|
% 46.60/15.83  																														| Simplifying 487 yields:
% 46.60/15.83  																														| (243)  ~ (e2 = e1)
% 46.60/15.83  																														|
% 46.60/15.83  																														+-Applying beta-rule and splitting (613), into two cases.
% 46.60/15.83  																														|-Branch one:
% 46.60/15.83  																														| (374) all_0_87_87 = e2
% 46.60/15.83  																														|
% 46.60/15.83  																															| Combining equations (482,374) yields a new equation:
% 46.60/15.83  																															| (385) e2 = e1
% 46.60/15.83  																															|
% 46.60/15.83  																															| Equations (385) can reduce 243 to:
% 46.60/15.83  																															| (311) $false
% 46.60/15.83  																															|
% 46.60/15.83  																															|-The branch is then unsatisfiable
% 46.60/15.83  																														|-Branch two:
% 46.60/15.83  																														| (349)  ~ (all_0_87_87 = e2)
% 46.60/15.83  																														| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 46.60/15.83  																														|
% 46.60/15.83  																															+-Applying beta-rule and splitting (1342), into two cases.
% 46.60/15.83  																															|-Branch one:
% 46.60/15.83  																															| (1343) all_0_92_92 = e2
% 46.60/15.83  																															|
% 46.60/15.83  																																| Equations (1343) can reduce 298 to:
% 46.60/15.83  																																| (311) $false
% 46.60/15.83  																																|
% 46.60/15.83  																																|-The branch is then unsatisfiable
% 46.60/15.83  																															|-Branch two:
% 46.60/15.83  																															| (298)  ~ (all_0_92_92 = e2)
% 46.60/15.83  																															| (538) all_0_97_97 = e2
% 46.60/15.83  																															|
% 46.60/15.83  																																| Combining equations (538,610) yields a new equation:
% 46.60/15.83  																																| (310) e4 = e2
% 46.60/15.83  																																|
% 46.60/15.83  																																| Equations (310) can reduce 79 to:
% 46.60/15.83  																																| (311) $false
% 46.60/15.83  																																|
% 46.60/15.83  																																|-The branch is then unsatisfiable
% 46.60/15.83  																													|-Branch two:
% 46.60/15.83  																													| (625)  ~ (all_0_87_87 = e1)
% 46.60/15.83  																													| (504) all_0_88_88 = e1
% 46.60/15.83  																													|
% 46.60/15.83  																														| Combining equations (507,504) yields a new equation:
% 46.60/15.83  																														| (865) e1 = e0
% 46.60/15.83  																														|
% 46.60/15.83  																														| Equations (865) can reduce 264 to:
% 46.60/15.83  																														| (311) $false
% 46.60/15.83  																														|
% 46.60/15.83  																														|-The branch is then unsatisfiable
% 46.60/15.83  																										|-Branch two:
% 46.60/15.83  																										| (9507)  ~ (all_0_86_86 = e2)
% 46.60/15.83  																										| (9508) all_0_87_87 = e2 | all_0_88_88 = e2
% 46.60/15.83  																										|
% 46.60/15.83  																											+-Applying beta-rule and splitting (9508), into two cases.
% 46.60/15.83  																											|-Branch one:
% 46.60/15.83  																											| (374) all_0_87_87 = e2
% 46.60/15.83  																											|
% 46.60/15.83  																												| Equations (374) can reduce 349 to:
% 46.60/15.83  																												| (311) $false
% 46.60/15.83  																												|
% 46.60/15.83  																												|-The branch is then unsatisfiable
% 46.60/15.83  																											|-Branch two:
% 46.60/15.83  																											| (349)  ~ (all_0_87_87 = e2)
% 46.60/15.83  																											| (370) all_0_88_88 = e2
% 46.60/15.83  																											|
% 46.60/15.83  																												| Combining equations (507,370) yields a new equation:
% 46.60/15.83  																												| (379) e2 = e0
% 46.60/15.83  																												|
% 46.60/15.83  																												| Equations (379) can reduce 76 to:
% 46.60/15.83  																												| (311) $false
% 46.60/15.83  																												|
% 46.60/15.83  																												|-The branch is then unsatisfiable
% 46.60/15.83  																							|-Branch two:
% 46.60/15.83  																							| (1519)  ~ (all_0_98_98 = e3)
% 46.60/15.83  																							| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.60/15.83  																							|
% 46.60/15.83  																								+-Applying beta-rule and splitting (5284), into two cases.
% 46.60/15.83  																								|-Branch one:
% 46.60/15.83  																								| (1121) all_0_98_98 = e0
% 46.60/15.83  																								|
% 46.60/15.83  																									| Equations (1121) can reduce 2059 to:
% 46.60/15.83  																									| (311) $false
% 46.60/15.83  																									|
% 46.60/15.83  																									|-The branch is then unsatisfiable
% 46.60/15.83  																								|-Branch two:
% 46.60/15.83  																								| (2059)  ~ (all_0_98_98 = e0)
% 46.60/15.83  																								| (2650) all_0_98_98 = e4
% 46.60/15.83  																								|
% 46.60/15.83  																									| Equations (2650) can reduce 321 to:
% 46.60/15.83  																									| (311) $false
% 46.60/15.83  																									|
% 46.60/15.83  																									|-The branch is then unsatisfiable
% 46.60/15.83  																				|-Branch two:
% 46.60/15.83  																				| (300)  ~ (all_0_93_93 = e2)
% 46.60/15.83  																				| (525) all_0_98_98 = e2
% 46.60/15.83  																				|
% 46.60/15.83  																					| Equations (525) can reduce 1349 to:
% 46.60/15.83  																					| (311) $false
% 46.60/15.83  																					|
% 46.60/15.83  																					|-The branch is then unsatisfiable
% 46.60/15.83  														|-Branch two:
% 46.60/15.83  														| (628)  ~ (all_0_81_81 = e1)
% 46.60/15.83  														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 46.60/15.83  														|
% 46.60/15.83  															+-Applying beta-rule and splitting (629), into two cases.
% 46.60/15.83  															|-Branch one:
% 46.60/15.83  															| (635) all_0_81_81 = e3
% 46.60/15.83  															|
% 46.60/15.83  																| Equations (635) can reduce 420 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  															|-Branch two:
% 46.60/15.83  															| (420)  ~ (all_0_81_81 = e3)
% 46.60/15.83  															| (638) all_0_81_81 = e4
% 46.60/15.83  															|
% 46.60/15.83  																| Equations (638) can reduce 634 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  												|-Branch two:
% 46.60/15.83  												| (640)  ~ (all_0_78_78 = e4)
% 46.60/15.83  												| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 46.60/15.83  												|
% 46.60/15.83  													+-Applying beta-rule and splitting (123), into two cases.
% 46.60/15.83  													|-Branch one:
% 46.60/15.83  													| (473) all_0_81_81 = e2
% 46.60/15.83  													|
% 46.60/15.83  														| Equations (473) can reduce 396 to:
% 46.60/15.83  														| (311) $false
% 46.60/15.83  														|
% 46.60/15.83  														|-The branch is then unsatisfiable
% 46.60/15.83  													|-Branch two:
% 46.60/15.83  													| (396)  ~ (all_0_81_81 = e2)
% 46.60/15.83  													| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 46.60/15.83  													|
% 46.60/15.83  														+-Applying beta-rule and splitting (476), into two cases.
% 46.60/15.83  														|-Branch one:
% 46.60/15.83  														| (477) all_0_81_81 = e1
% 46.60/15.83  														|
% 46.60/15.83  															| Equations (477) can reduce 634 to:
% 46.60/15.83  															| (681)  ~ (e4 = e1)
% 46.60/15.83  															|
% 46.60/15.83  															| Simplifying 681 yields:
% 46.60/15.83  															| (256)  ~ (e4 = e1)
% 46.60/15.83  															|
% 46.60/15.83  															+-Applying beta-rule and splitting (641), into two cases.
% 46.60/15.83  															|-Branch one:
% 46.60/15.83  															| (433) all_0_80_80 = e4
% 46.60/15.83  															|
% 46.60/15.83  																| Combining equations (416,433) yields a new equation:
% 46.60/15.83  																| (434) e4 = e3
% 46.60/15.83  																|
% 46.60/15.83  																| Equations (434) can reduce 177 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  															|-Branch two:
% 46.60/15.83  															| (436)  ~ (all_0_80_80 = e4)
% 46.60/15.83  															| (638) all_0_81_81 = e4
% 46.60/15.83  															|
% 46.60/15.83  																| Combining equations (477,638) yields a new equation:
% 46.60/15.83  																| (814) e4 = e1
% 46.60/15.83  																|
% 46.60/15.83  																| Equations (814) can reduce 256 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  														|-Branch two:
% 46.60/15.83  														| (628)  ~ (all_0_81_81 = e1)
% 46.60/15.83  														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 46.60/15.83  														|
% 46.60/15.83  															+-Applying beta-rule and splitting (629), into two cases.
% 46.60/15.83  															|-Branch one:
% 46.60/15.83  															| (635) all_0_81_81 = e3
% 46.60/15.83  															|
% 46.60/15.83  																| Equations (635) can reduce 420 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  															|-Branch two:
% 46.60/15.83  															| (420)  ~ (all_0_81_81 = e3)
% 46.60/15.83  															| (638) all_0_81_81 = e4
% 46.60/15.83  															|
% 46.60/15.83  																| Equations (638) can reduce 634 to:
% 46.60/15.83  																| (311) $false
% 46.60/15.83  																|
% 46.60/15.83  																|-The branch is then unsatisfiable
% 46.60/15.83  		|-Branch two:
% 46.60/15.83  		| (1622)  ~ (all_0_79_79 = e2)
% 46.60/15.83  		| (1623) all_0_79_79 = e3 | all_0_79_79 = e1
% 46.60/15.83  		|
% 46.60/15.83  			+-Applying beta-rule and splitting (248), into two cases.
% 46.60/15.83  			|-Branch one:
% 46.60/15.83  			| (390) all_0_79_79 = e2
% 46.60/15.83  			|
% 46.60/15.83  				| Equations (390) can reduce 1622 to:
% 46.60/15.83  				| (311) $false
% 46.60/15.83  				|
% 46.60/15.83  				|-The branch is then unsatisfiable
% 46.60/15.83  			|-Branch two:
% 46.60/15.83  			| (1622)  ~ (all_0_79_79 = e2)
% 46.60/15.83  			| (1627) all_0_83_83 = e2 | all_0_91_91 = e2 | all_0_96_96 = e2
% 46.60/15.83  			|
% 46.60/15.83  				+-Applying beta-rule and splitting (62), into two cases.
% 46.60/15.83  				|-Branch one:
% 46.60/15.83  				| (374) all_0_87_87 = e2
% 46.60/15.83  				|
% 46.60/15.83  					| Equations (374) can reduce 73 to:
% 46.60/15.83  					| (394)  ~ (all_0_80_80 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 124 to:
% 46.60/15.83  					| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 162 to:
% 46.60/15.83  					| (9507)  ~ (all_0_86_86 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 181 to:
% 46.60/15.83  					| (350)  ~ (all_0_88_88 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Simplifying 350 yields:
% 46.60/15.83  					| (351)  ~ (all_0_88_88 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 94 to:
% 46.60/15.83  					| (297)  ~ (all_0_92_92 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Simplifying 297 yields:
% 46.60/15.83  					| (298)  ~ (all_0_92_92 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 221 to:
% 46.60/15.83  					| (2376)  ~ (all_0_97_97 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Simplifying 2376 yields:
% 46.60/15.83  					| (527)  ~ (all_0_97_97 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 216 to:
% 46.60/15.83  					| (528)  ~ (e4 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Simplifying 528 yields:
% 46.60/15.83  					| (79)  ~ (e4 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Equations (374) can reduce 227 to:
% 46.60/15.83  					| (356)  ~ (e3 = e2)
% 46.60/15.83  					|
% 46.60/15.83  					| Simplifying 356 yields:
% 46.60/15.83  					| (169)  ~ (e3 = e2)
% 46.60/15.84  					|
% 46.60/15.84  					| From (374) and (18) follows:
% 46.60/15.84  					| (9527) op(e2, e2) = all_0_17_17
% 46.60/15.84  					|
% 46.60/15.84  					| From (374) and (149) follows:
% 46.60/15.84  					| (9528) op(e2, e1) = all_0_18_18
% 46.60/15.84  					|
% 46.60/15.84  					| From (374) and (83) follows:
% 46.60/15.84  					| (9529) op(e2, e2) = all_0_65_65
% 46.60/15.84  					|
% 46.60/15.84  					| From (374) and (14) follows:
% 46.60/15.84  					| (9530) op(e2, e1) = e2
% 46.60/15.84  					|
% 46.60/15.84  					| From (374) and (16) follows:
% 46.60/15.84  					| (9531) op(e1, e2) = all_0_64_64
% 46.60/15.84  					|
% 46.60/15.84  					| Instantiating formula (262) with e2, e2, all_0_17_17, e4 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = e4, yields:
% 46.60/15.84  					| (9532) all_0_17_17 = e4
% 46.60/15.84  					|
% 46.60/15.84  					| Instantiating formula (262) with e2, e2, all_0_65_65, all_0_17_17 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = all_0_65_65, yields:
% 46.60/15.84  					| (9533) all_0_17_17 = all_0_65_65
% 46.60/15.84  					|
% 46.60/15.84  					| Instantiating formula (262) with e2, e1, e2, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = e2, yields:
% 46.60/15.84  					| (9534) all_0_18_18 = e2
% 46.60/15.84  					|
% 46.60/15.84  					| Instantiating formula (262) with e1, e2, all_0_64_64, all_0_91_91 and discharging atoms op(e1, e2) = all_0_64_64, op(e1, e2) = all_0_91_91, yields:
% 46.60/15.84  					| (9535) all_0_64_64 = all_0_91_91
% 46.60/15.84  					|
% 46.60/15.84  					| Combining equations (9532,9533) yields a new equation:
% 46.60/15.84  					| (9536) all_0_65_65 = e4
% 46.60/15.84  					|
% 46.60/15.84  					| From (9536) and (9529) follows:
% 46.60/15.84  					| (6) op(e2, e2) = e4
% 46.60/15.84  					|
% 46.60/15.84  					| From (9534) and (9528) follows:
% 46.60/15.84  					| (9530) op(e2, e1) = e2
% 46.60/15.84  					|
% 46.60/15.84  					| From (9535) and (9531) follows:
% 46.60/15.84  					| (3) op(e1, e2) = all_0_91_91
% 46.60/15.84  					|
% 46.60/15.84  					+-Applying beta-rule and splitting (142), into two cases.
% 46.60/15.84  					|-Branch one:
% 46.60/15.84  					| (345) all_0_86_86 = e2
% 46.60/15.84  					|
% 46.60/15.84  						| Equations (345) can reduce 9507 to:
% 46.60/15.84  						| (311) $false
% 46.60/15.84  						|
% 46.60/15.84  						|-The branch is then unsatisfiable
% 46.60/15.84  					|-Branch two:
% 46.60/15.84  					| (9507)  ~ (all_0_86_86 = e2)
% 46.60/15.84  					| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 46.60/15.84  					|
% 46.60/15.84  						+-Applying beta-rule and splitting (47), into two cases.
% 46.60/15.84  						|-Branch one:
% 46.60/15.84  						| (370) all_0_88_88 = e2
% 46.60/15.84  						|
% 46.60/15.84  							| Equations (370) can reduce 351 to:
% 46.60/15.84  							| (311) $false
% 46.60/15.84  							|
% 46.60/15.84  							|-The branch is then unsatisfiable
% 46.60/15.84  						|-Branch two:
% 46.60/15.84  						| (351)  ~ (all_0_88_88 = e2)
% 46.60/15.84  						| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 46.60/15.84  						|
% 46.60/15.84  							+-Applying beta-rule and splitting (237), into two cases.
% 46.60/15.84  							|-Branch one:
% 46.60/15.84  							| (378) all_0_86_86 = e0
% 46.60/15.84  							|
% 46.60/15.84  								| Equations (378) can reduce 82 to:
% 46.60/15.84  								| (86)  ~ (all_0_78_78 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Equations (378) can reduce 81 to:
% 46.60/15.84  								| (914)  ~ (all_0_82_82 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Equations (378) can reduce 80 to:
% 46.60/15.84  								| (2507)  ~ (all_0_88_88 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Simplifying 2507 yields:
% 46.60/15.84  								| (1110)  ~ (all_0_88_88 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Equations (378) can reduce 139 to:
% 46.60/15.84  								| (2710)  ~ (all_0_90_90 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Simplifying 2710 yields:
% 46.60/15.84  								| (762)  ~ (all_0_90_90 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Equations (378) can reduce 91 to:
% 46.60/15.84  								| (2712)  ~ (all_0_95_95 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| Simplifying 2712 yields:
% 46.60/15.84  								| (893)  ~ (all_0_95_95 = e0)
% 46.60/15.84  								|
% 46.60/15.84  								| From (378) and (74) follows:
% 46.60/15.84  								| (24469) op(e0, e3) = all_0_16_16
% 46.60/15.84  								|
% 46.60/15.84  								| From (378) and (130) follows:
% 46.60/15.84  								| (24470) op(e0, e2) = all_0_15_15
% 46.60/15.84  								|
% 46.60/15.84  								| From (378) and (110) follows:
% 46.60/15.84  								| (9556) op(e3, e0) = all_0_46_46
% 46.60/15.84  								|
% 46.60/15.84  								| From (378) and (167) follows:
% 46.60/15.84  								| (9557) op(e2, e0) = all_0_47_47
% 46.60/15.84  								|
% 46.60/15.84  								| From (378) and (245) follows:
% 46.60/15.84  								| (5343) op(e2, e3) = e0
% 46.60/15.84  								|
% 46.60/15.84  								+-Applying beta-rule and splitting (373), into two cases.
% 46.60/15.84  								|-Branch one:
% 46.60/15.84  								| (504) all_0_88_88 = e1
% 46.60/15.84  								|
% 46.60/15.84  									| Equations (504) can reduce 266 to:
% 46.60/15.84  									| (628)  ~ (all_0_81_81 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Equations (504) can reduce 78 to:
% 46.60/15.84  									| (128)  ~ (all_0_85_85 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Equations (504) can reduce 286 to:
% 46.60/15.84  									| (480)  ~ (all_0_93_93 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Simplifying 480 yields:
% 46.60/15.84  									| (481)  ~ (all_0_93_93 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Equations (504) can reduce 31 to:
% 46.60/15.84  									| (1803)  ~ (all_0_98_98 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Simplifying 1803 yields:
% 46.60/15.84  									| (1804)  ~ (all_0_98_98 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Equations (504) can reduce 93 to:
% 46.60/15.84  									| (681)  ~ (e4 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Simplifying 681 yields:
% 46.60/15.84  									| (256)  ~ (e4 = e1)
% 46.60/15.84  									|
% 46.60/15.84  									| Equations (504) can reduce 1110 to:
% 46.60/15.84  									| (264)  ~ (e1 = e0)
% 46.60/15.84  									|
% 46.60/15.84  									| From (504) and (253) follows:
% 46.60/15.84  									| (33851) op(e1, e2) = all_0_19_19
% 46.60/15.84  									|
% 46.60/15.84  									| From (504) and (141) follows:
% 46.60/15.84  									| (33852) op(e1, e0) = all_0_20_20
% 46.60/15.84  									|
% 46.60/15.84  									| From (504) and (161) follows:
% 46.60/15.84  									| (1947) op(e2, e1) = all_0_74_74
% 46.60/15.84  									|
% 46.60/15.84  									| From (504) and (230) follows:
% 46.60/15.84  									| (2305) op(e2, e0) = e1
% 46.60/15.84  									|
% 46.60/15.84  									| From (504) and (239) follows:
% 46.60/15.84  									| (2530) op(e0, e1) = all_0_73_73
% 46.60/15.84  									|
% 46.60/15.84  									| Instantiating formula (262) with e3, e0, all_0_46_46, all_0_85_85 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = all_0_85_85, yields:
% 46.60/15.85  									| (9576) all_0_46_46 = all_0_85_85
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e2, e1, all_0_74_74, e2 and discharging atoms op(e2, e1) = all_0_74_74, op(e2, e1) = e2, yields:
% 46.60/15.85  									| (9577) all_0_74_74 = e2
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e2, e0, e1, all_0_47_47 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e1, yields:
% 46.60/15.85  									| (9578) all_0_47_47 = e1
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e1, e2, all_0_19_19, all_0_91_91 and discharging atoms op(e1, e2) = all_0_19_19, op(e1, e2) = all_0_91_91, yields:
% 46.60/15.85  									| (33859) all_0_19_19 = all_0_91_91
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e1, e0, all_0_20_20, all_0_93_93 and discharging atoms op(e1, e0) = all_0_20_20, op(e1, e0) = all_0_93_93, yields:
% 46.60/15.85  									| (33860) all_0_20_20 = all_0_93_93
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e0, e3, all_0_16_16, all_0_95_95 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = all_0_95_95, yields:
% 46.60/15.85  									| (24499) all_0_16_16 = all_0_95_95
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e0, e2, all_0_15_15, all_0_96_96 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_96_96, yields:
% 46.60/15.85  									| (24500) all_0_15_15 = all_0_96_96
% 46.60/15.85  									|
% 46.60/15.85  									| Instantiating formula (262) with e0, e1, all_0_73_73, all_0_97_97 and discharging atoms op(e0, e1) = all_0_73_73, op(e0, e1) = all_0_97_97, yields:
% 46.60/15.85  									| (8321) all_0_73_73 = all_0_97_97
% 46.60/15.85  									|
% 46.60/15.85  									| From (9576) and (9556) follows:
% 46.60/15.85  									| (8) op(e3, e0) = all_0_85_85
% 46.60/15.85  									|
% 46.60/15.85  									| From (9577) and (1947) follows:
% 46.60/15.85  									| (9530) op(e2, e1) = e2
% 46.60/15.85  									|
% 46.60/15.85  									| From (9578) and (9557) follows:
% 46.60/15.85  									| (2305) op(e2, e0) = e1
% 46.60/15.85  									|
% 46.60/15.85  									| From (33859) and (33851) follows:
% 46.60/15.85  									| (3) op(e1, e2) = all_0_91_91
% 46.60/15.85  									|
% 46.60/15.85  									| From (33860) and (33852) follows:
% 46.60/15.85  									| (231) op(e1, e0) = all_0_93_93
% 46.60/15.85  									|
% 46.60/15.85  									| From (24499) and (24469) follows:
% 46.60/15.85  									| (275) op(e0, e3) = all_0_95_95
% 46.60/15.85  									|
% 46.60/15.85  									| From (24500) and (24470) follows:
% 46.60/15.85  									| (59) op(e0, e2) = all_0_96_96
% 46.60/15.85  									|
% 46.60/15.85  									| From (8321) and (2530) follows:
% 46.60/15.85  									| (147) op(e0, e1) = all_0_97_97
% 46.60/15.85  									|
% 46.60/15.85  									+-Applying beta-rule and splitting (70), into two cases.
% 46.60/15.85  									|-Branch one:
% 46.60/15.85  									| (400) all_0_78_78 = e2
% 46.60/15.85  									|
% 46.60/15.85  										| Equations (400) can reduce 67 to:
% 46.60/15.85  										| (393)  ~ (all_0_80_80 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Simplifying 393 yields:
% 46.60/15.85  										| (394)  ~ (all_0_80_80 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Equations (400) can reduce 278 to:
% 46.60/15.85  										| (395)  ~ (all_0_81_81 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Simplifying 395 yields:
% 46.60/15.85  										| (396)  ~ (all_0_81_81 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Equations (400) can reduce 193 to:
% 46.60/15.85  										| (9974)  ~ (all_0_82_82 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Simplifying 9974 yields:
% 46.60/15.85  										| (347)  ~ (all_0_82_82 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Equations (400) can reduce 125 to:
% 46.60/15.85  										| (354)  ~ (all_0_95_95 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Simplifying 354 yields:
% 46.60/15.85  										| (355)  ~ (all_0_95_95 = e2)
% 46.60/15.85  										|
% 46.60/15.85  										| Equations (400) can reduce 86 to:
% 46.60/15.85  										| (76)  ~ (e2 = e0)
% 46.60/15.85  										|
% 46.60/15.85  										| From (400) and (136) follows:
% 46.60/15.85  										| (22936) op(e2, e3) = all_0_1_1
% 46.60/15.85  										|
% 46.60/15.85  										| From (400) and (138) follows:
% 46.60/15.86  										| (9983) op(e3, e2) = all_0_43_43
% 46.60/15.86  										|
% 46.60/15.86  										| Instantiating formula (262) with e3, e2, all_0_43_43, all_0_83_83 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = all_0_83_83, yields:
% 46.60/15.86  										| (9985) all_0_43_43 = all_0_83_83
% 46.60/15.86  										|
% 46.60/15.86  										| Instantiating formula (262) with e2, e3, all_0_1_1, e0 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = e0, yields:
% 46.60/15.86  										| (25474) all_0_1_1 = e0
% 46.60/15.86  										|
% 46.60/15.86  										| From (9985) and (9983) follows:
% 46.60/15.86  										| (174) op(e3, e2) = all_0_83_83
% 46.60/15.86  										|
% 46.60/15.86  										| From (25474) and (22936) follows:
% 46.60/15.86  										| (5343) op(e2, e3) = e0
% 46.60/15.86  										|
% 46.60/15.86  										+-Applying beta-rule and splitting (56), into two cases.
% 46.60/15.86  										|-Branch one:
% 46.60/15.86  										| (463) all_0_78_78 = e4
% 46.60/15.86  										|
% 46.60/15.86  											| Combining equations (400,463) yields a new equation:
% 46.60/15.86  											| (310) e4 = e2
% 46.60/15.86  											|
% 46.60/15.86  											| Equations (310) can reduce 79 to:
% 46.60/15.86  											| (311) $false
% 46.60/15.86  											|
% 46.60/15.86  											|-The branch is then unsatisfiable
% 46.60/15.86  										|-Branch two:
% 46.60/15.86  										| (640)  ~ (all_0_78_78 = e4)
% 46.60/15.86  										| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 46.60/15.86  										|
% 46.60/15.86  											+-Applying beta-rule and splitting (41), into two cases.
% 46.60/15.86  											|-Branch one:
% 46.60/15.86  											| (530) all_0_82_82 = e2
% 46.60/15.86  											|
% 46.60/15.86  												| Equations (530) can reduce 347 to:
% 46.60/15.86  												| (311) $false
% 46.60/15.86  												|
% 46.60/15.86  												|-The branch is then unsatisfiable
% 46.60/15.86  											|-Branch two:
% 46.60/15.86  											| (347)  ~ (all_0_82_82 = e2)
% 46.60/15.86  											| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 46.60/15.86  											|
% 46.60/15.86  												+-Applying beta-rule and splitting (52), into two cases.
% 46.60/15.86  												|-Branch one:
% 46.60/15.86  												| (453) all_0_83_83 = e2
% 46.60/15.86  												|
% 46.60/15.86  													| Combining equations (453,9985) yields a new equation:
% 46.60/15.86  													| (689) all_0_43_43 = e2
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 272 to:
% 46.60/15.86  													| (1622)  ~ (all_0_79_79 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 116 to:
% 46.60/15.86  													| (347)  ~ (all_0_82_82 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 223 to:
% 46.60/15.86  													| (1631)  ~ (all_0_84_84 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Simplifying 1631 yields:
% 46.60/15.86  													| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 226 to:
% 46.60/15.86  													| (691)  ~ (all_0_85_85 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Simplifying 691 yields:
% 46.60/15.86  													| (515)  ~ (all_0_85_85 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 211 to:
% 46.60/15.86  													| (1637)  ~ (all_0_96_96 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Simplifying 1637 yields:
% 46.60/15.86  													| (1638)  ~ (all_0_96_96 = e2)
% 46.60/15.86  													|
% 46.60/15.86  													| Equations (453) can reduce 113 to:
% 46.60/15.86  													| (243)  ~ (e2 = e1)
% 46.60/15.86  													|
% 46.60/15.86  													| From (453) and (29) follows:
% 46.60/15.86  													| (1641) op(e2, e3) = all_0_9_9
% 46.60/15.86  													|
% 46.60/15.86  													| From (453) and (234) follows:
% 46.60/15.86  													| (1642) op(e2, e2) = all_0_10_10
% 46.60/15.86  													|
% 46.60/15.86  													| From (453) and (206) follows:
% 46.60/15.86  													| (1643) op(e2, e2) = all_0_54_54
% 46.60/15.86  													|
% 46.60/15.86  													+-Applying beta-rule and splitting (205), into two cases.
% 46.60/15.86  													|-Branch one:
% 46.60/15.86  													| (473) all_0_81_81 = e2
% 46.60/15.86  													|
% 46.60/15.86  														| Equations (473) can reduce 396 to:
% 46.60/15.86  														| (311) $false
% 46.60/15.86  														|
% 46.60/15.86  														|-The branch is then unsatisfiable
% 46.60/15.86  													|-Branch two:
% 46.60/15.86  													| (396)  ~ (all_0_81_81 = e2)
% 46.60/15.86  													| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 46.60/15.86  													|
% 46.60/15.86  														+-Applying beta-rule and splitting (503), into two cases.
% 46.60/15.86  														|-Branch one:
% 46.60/15.86  														| (512) all_0_85_85 = e2
% 46.60/15.86  														|
% 46.60/15.86  															| Equations (512) can reduce 515 to:
% 46.60/15.86  															| (311) $false
% 46.60/15.86  															|
% 46.60/15.86  															|-The branch is then unsatisfiable
% 46.60/15.86  														|-Branch two:
% 46.60/15.86  														| (515)  ~ (all_0_85_85 = e2)
% 46.60/15.86  														| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 46.60/15.86  														|
% 46.60/15.86  															+-Applying beta-rule and splitting (516), into two cases.
% 46.60/15.86  															|-Branch one:
% 46.60/15.86  															| (370) all_0_88_88 = e2
% 46.60/15.86  															|
% 46.60/15.86  																| Combining equations (370,504) yields a new equation:
% 46.60/15.86  																| (408) e2 = e1
% 46.60/15.86  																|
% 46.60/15.86  																| Simplifying 408 yields:
% 46.60/15.86  																| (385) e2 = e1
% 46.60/15.86  																|
% 46.60/15.86  																| Equations (385) can reduce 243 to:
% 46.60/15.86  																| (311) $false
% 46.60/15.86  																|
% 46.60/15.86  																|-The branch is then unsatisfiable
% 46.60/15.86  															|-Branch two:
% 46.60/15.86  															| (351)  ~ (all_0_88_88 = e2)
% 46.60/15.86  															| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 46.60/15.86  															|
% 46.60/15.86  																+-Applying beta-rule and splitting (521), into two cases.
% 46.60/15.86  																|-Branch one:
% 46.60/15.86  																| (522) all_0_93_93 = e2
% 46.60/15.86  																|
% 46.60/15.86  																	| Equations (522) can reduce 277 to:
% 46.60/15.86  																	| (396)  ~ (all_0_81_81 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 201 to:
% 46.60/15.86  																	| (515)  ~ (all_0_85_85 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 34 to:
% 46.60/15.86  																	| (294)  ~ (all_0_90_90 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 44 to:
% 46.60/15.86  																	| (296)  ~ (all_0_91_91 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 283 to:
% 46.60/15.86  																	| (298)  ~ (all_0_92_92 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 13 to:
% 46.60/15.86  																	| (1348)  ~ (all_0_98_98 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Simplifying 1348 yields:
% 46.60/15.86  																	| (1349)  ~ (all_0_98_98 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 496 to:
% 46.60/15.86  																	| (528)  ~ (e4 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Simplifying 528 yields:
% 46.60/15.86  																	| (79)  ~ (e4 = e2)
% 46.60/15.86  																	|
% 46.60/15.86  																	| Equations (522) can reduce 481 to:
% 46.60/15.86  																	| (243)  ~ (e2 = e1)
% 46.60/15.86  																	|
% 46.60/15.86  																	| From (522) and (25) follows:
% 46.60/15.86  																	| (33936) op(e2, e1) = all_0_28_28
% 46.60/15.86  																	|
% 46.60/15.86  																	| From (522) and (30) follows:
% 46.60/15.86  																	| (33937) op(e2, e0) = all_0_29_29
% 46.60/15.86  																	|
% 46.60/15.86  																	| From (522) and (21) follows:
% 46.60/15.86  																	| (30811) op(e1, e2) = all_0_76_76
% 46.60/15.86  																	|
% 46.60/15.86  																	| From (522) and (231) follows:
% 46.60/15.86  																	| (4519) op(e1, e0) = e2
% 46.60/15.86  																	|
% 46.60/15.86  																	| From (522) and (173) follows:
% 46.60/15.86  																	| (31272) op(e0, e2) = all_0_75_75
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e2, e3, all_0_9_9, e0 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e0, yields:
% 46.60/15.86  																	| (25528) all_0_9_9 = e0
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e2, e2, all_0_10_10, e4 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = e4, yields:
% 46.60/15.86  																	| (1645) all_0_10_10 = e4
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e2, e2, all_0_54_54, all_0_10_10 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = all_0_54_54, yields:
% 46.60/15.86  																	| (1646) all_0_10_10 = all_0_54_54
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e2, e1, all_0_28_28, e2 and discharging atoms op(e2, e1) = all_0_28_28, op(e2, e1) = e2, yields:
% 46.60/15.86  																	| (33944) all_0_28_28 = e2
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e2, e0, all_0_29_29, e1 and discharging atoms op(e2, e0) = all_0_29_29, op(e2, e0) = e1, yields:
% 46.60/15.86  																	| (3941) all_0_29_29 = e1
% 46.60/15.86  																	|
% 46.60/15.86  																	| Instantiating formula (262) with e1, e2, all_0_76_76, all_0_91_91 and discharging atoms op(e1, e2) = all_0_76_76, op(e1, e2) = all_0_91_91, yields:
% 46.60/15.87  																	| (30812) all_0_76_76 = all_0_91_91
% 46.60/15.87  																	|
% 46.60/15.87  																	| Instantiating formula (262) with e0, e2, all_0_75_75, all_0_96_96 and discharging atoms op(e0, e2) = all_0_75_75, op(e0, e2) = all_0_96_96, yields:
% 46.60/15.87  																	| (31273) all_0_75_75 = all_0_96_96
% 46.60/15.87  																	|
% 46.60/15.87  																	| Combining equations (1646,1645) yields a new equation:
% 46.60/15.87  																	| (25535) all_0_54_54 = e4
% 46.60/15.87  																	|
% 46.60/15.87  																	| Simplifying 25535 yields:
% 46.60/15.87  																	| (1647) all_0_54_54 = e4
% 46.60/15.87  																	|
% 46.60/15.87  																	| From (25528) and (1641) follows:
% 46.60/15.87  																	| (5343) op(e2, e3) = e0
% 46.60/15.87  																	|
% 46.60/15.87  																	| From (33944) and (33936) follows:
% 46.60/15.87  																	| (9530) op(e2, e1) = e2
% 46.60/15.87  																	|
% 46.60/15.87  																	| From (3941) and (33937) follows:
% 46.60/15.87  																	| (2305) op(e2, e0) = e1
% 46.60/15.87  																	|
% 46.60/15.87  																	+-Applying beta-rule and splitting (219), into two cases.
% 46.60/15.87  																	|-Branch one:
% 46.60/15.87  																	| (798) all_0_83_83 = e0
% 46.60/15.87  																	|
% 46.60/15.87  																		| Combining equations (453,798) yields a new equation:
% 46.60/15.87  																		| (923) e2 = e0
% 46.60/15.87  																		|
% 46.60/15.87  																		| Simplifying 923 yields:
% 46.60/15.87  																		| (379) e2 = e0
% 46.60/15.87  																		|
% 46.60/15.87  																		| Equations (379) can reduce 76 to:
% 46.60/15.87  																		| (311) $false
% 46.60/15.87  																		|
% 46.60/15.87  																		|-The branch is then unsatisfiable
% 46.60/15.87  																	|-Branch two:
% 46.60/15.87  																	| (1314)  ~ (all_0_83_83 = e0)
% 46.60/15.87  																	| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 46.60/15.87  																	|
% 46.60/15.87  																		| Equations (453) can reduce 1314 to:
% 46.60/15.87  																		| (76)  ~ (e2 = e0)
% 46.60/15.87  																		|
% 46.60/15.87  																		+-Applying beta-rule and splitting (129), into two cases.
% 46.60/15.87  																		|-Branch one:
% 46.60/15.87  																		| (676) all_0_78_78 = e1
% 46.60/15.87  																		|
% 46.60/15.87  																			| Combining equations (400,676) yields a new equation:
% 46.60/15.87  																			| (408) e2 = e1
% 46.60/15.87  																			|
% 46.60/15.87  																			| Simplifying 408 yields:
% 46.60/15.87  																			| (385) e2 = e1
% 46.60/15.87  																			|
% 46.60/15.87  																			| Equations (385) can reduce 243 to:
% 46.60/15.87  																			| (311) $false
% 46.60/15.87  																			|
% 46.60/15.87  																			|-The branch is then unsatisfiable
% 46.60/15.87  																		|-Branch two:
% 46.60/15.87  																		| (1601)  ~ (all_0_78_78 = e1)
% 46.60/15.87  																		| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 46.60/15.87  																		|
% 46.60/15.87  																			+-Applying beta-rule and splitting (127), into two cases.
% 46.60/15.87  																			|-Branch one:
% 46.60/15.87  																			| (457) all_0_79_79 = e1
% 46.60/15.87  																			|
% 46.60/15.87  																				| Equations (457) can reduce 63 to:
% 46.60/15.87  																				| (1665)  ~ (all_0_80_80 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Simplifying 1665 yields:
% 46.60/15.87  																				| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Equations (457) can reduce 15 to:
% 46.60/15.87  																				| (1667)  ~ (all_0_81_81 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Simplifying 1667 yields:
% 46.60/15.87  																				| (628)  ~ (all_0_81_81 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Equations (457) can reduce 17 to:
% 46.60/15.87  																				| (1669)  ~ (all_0_91_91 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Simplifying 1669 yields:
% 46.60/15.87  																				| (959)  ~ (all_0_91_91 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Equations (457) can reduce 214 to:
% 46.60/15.87  																				| (1671)  ~ (all_0_96_96 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Simplifying 1671 yields:
% 46.60/15.87  																				| (1479)  ~ (all_0_96_96 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Equations (457) can reduce 1622 to:
% 46.60/15.87  																				| (487)  ~ (e2 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Simplifying 487 yields:
% 46.60/15.87  																				| (243)  ~ (e2 = e1)
% 46.60/15.87  																				|
% 46.60/15.87  																				| Equations (457) can reduce 9 to:
% 46.60/15.87  																				| (264)  ~ (e1 = e0)
% 46.60/15.87  																				|
% 46.60/15.87  																				| From (457) and (184) follows:
% 46.60/15.87  																				| (1679) op(e2, e1) = all_0_52_52
% 46.60/15.87  																				|
% 46.60/15.87  																				| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 46.60/15.87  																				| (10960) all_0_52_52 = e2
% 46.60/15.87  																				|
% 46.60/15.87  																				+-Applying beta-rule and splitting (33), into two cases.
% 46.60/15.87  																				|-Branch one:
% 46.60/15.87  																				| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 46.60/15.87  																				|
% 46.60/15.87  																					+-Applying beta-rule and splitting (1686), into two cases.
% 46.60/15.87  																					|-Branch one:
% 46.60/15.87  																					| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 46.60/15.87  																					|
% 46.60/15.87  																						+-Applying beta-rule and splitting (1687), into two cases.
% 46.60/15.87  																						|-Branch one:
% 46.60/15.87  																						| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 46.60/15.87  																						|
% 46.60/15.87  																							| Applying alpha-rule on (1688) yields:
% 46.60/15.87  																							| (1689) all_0_52_52 = e4
% 46.60/15.87  																							| (1690)  ~ (all_0_53_53 = e2)
% 46.60/15.87  																							|
% 46.60/15.87  																							| Combining equations (1689,10960) yields a new equation:
% 46.60/15.87  																							| (309) e4 = e2
% 46.60/15.87  																							|
% 46.60/15.87  																							| Simplifying 309 yields:
% 46.60/15.87  																							| (310) e4 = e2
% 46.60/15.87  																							|
% 46.60/15.87  																							| Equations (310) can reduce 79 to:
% 46.60/15.87  																							| (311) $false
% 46.60/15.87  																							|
% 46.60/15.87  																							|-The branch is then unsatisfiable
% 46.60/15.87  																						|-Branch two:
% 46.60/15.87  																						| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 46.60/15.87  																						|
% 46.60/15.87  																							| Applying alpha-rule on (1694) yields:
% 46.60/15.87  																							| (1695) all_0_54_54 = e3
% 46.60/15.87  																							| (1696)  ~ (all_0_55_55 = e2)
% 46.60/15.87  																							|
% 46.60/15.87  																							| Combining equations (1647,1695) yields a new equation:
% 46.60/15.87  																							| (790) e4 = e3
% 46.60/15.87  																							|
% 46.60/15.87  																							| Simplifying 790 yields:
% 46.60/15.87  																							| (434) e4 = e3
% 46.60/15.87  																							|
% 46.60/15.87  																							| Equations (434) can reduce 177 to:
% 46.60/15.87  																							| (311) $false
% 46.60/15.87  																							|
% 46.60/15.87  																							|-The branch is then unsatisfiable
% 46.60/15.87  																					|-Branch two:
% 46.60/15.87  																					| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 46.60/15.87  																					|
% 46.60/15.87  																						| Applying alpha-rule on (1700) yields:
% 46.60/15.87  																						| (1701) all_0_56_56 = e1
% 46.60/15.87  																						| (1702)  ~ (all_0_57_57 = e2)
% 46.60/15.87  																						|
% 46.60/15.87  																						| From (1701) and (222) follows:
% 46.60/15.87  																						| (1703) op(e2, all_0_91_91) = e1
% 46.60/15.87  																						|
% 46.60/15.87  																						+-Applying beta-rule and splitting (151), into two cases.
% 46.60/15.87  																						|-Branch one:
% 46.60/15.87  																						| (824) all_0_80_80 = e1
% 46.60/15.87  																						|
% 46.60/15.87  																							| Equations (824) can reduce 828 to:
% 46.60/15.87  																							| (311) $false
% 46.60/15.87  																							|
% 46.60/15.87  																							|-The branch is then unsatisfiable
% 46.60/15.87  																						|-Branch two:
% 46.60/15.87  																						| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.87  																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.60/15.87  																						|
% 46.60/15.87  																							+-Applying beta-rule and splitting (10), into two cases.
% 46.60/15.87  																							|-Branch one:
% 46.60/15.87  																							| (530) all_0_82_82 = e2
% 46.60/15.87  																							|
% 46.60/15.87  																								| Equations (530) can reduce 347 to:
% 46.60/15.87  																								| (311) $false
% 46.60/15.87  																								|
% 46.60/15.87  																								|-The branch is then unsatisfiable
% 46.60/15.87  																							|-Branch two:
% 46.60/15.87  																							| (347)  ~ (all_0_82_82 = e2)
% 46.60/15.87  																							| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.60/15.87  																							|
% 46.60/15.87  																								+-Applying beta-rule and splitting (284), into two cases.
% 46.60/15.87  																								|-Branch one:
% 46.60/15.87  																								| (1723) all_0_91_91 = e2
% 46.60/15.87  																								|
% 46.60/15.87  																									| Equations (1723) can reduce 296 to:
% 46.60/15.87  																									| (311) $false
% 46.60/15.87  																									|
% 46.60/15.87  																									|-The branch is then unsatisfiable
% 46.60/15.87  																								|-Branch two:
% 46.60/15.87  																								| (296)  ~ (all_0_91_91 = e2)
% 46.60/15.87  																								| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.60/15.87  																								|
% 46.60/15.87  																									+-Applying beta-rule and splitting (291), into two cases.
% 46.60/15.87  																									|-Branch one:
% 46.60/15.87  																									| (758) all_0_90_90 = e0
% 46.60/15.87  																									|
% 46.60/15.87  																										| Equations (758) can reduce 762 to:
% 46.60/15.87  																										| (311) $false
% 46.60/15.87  																										|
% 46.60/15.87  																										|-The branch is then unsatisfiable
% 46.60/15.87  																									|-Branch two:
% 46.60/15.87  																									| (762)  ~ (all_0_90_90 = e0)
% 46.60/15.87  																									| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.60/15.87  																									|
% 46.60/15.87  																										+-Applying beta-rule and splitting (289), into two cases.
% 46.60/15.87  																										|-Branch one:
% 46.60/15.87  																										| (954) all_0_85_85 = e0
% 46.60/15.87  																										|
% 46.60/15.87  																											| Equations (954) can reduce 209 to:
% 46.60/15.87  																											| (914)  ~ (all_0_82_82 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Equations (954) can reduce 154 to:
% 46.60/15.87  																											| (919)  ~ (all_0_84_84 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Equations (954) can reduce 75 to:
% 46.60/15.87  																											| (2058)  ~ (all_0_98_98 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Simplifying 2058 yields:
% 46.60/15.87  																											| (2059)  ~ (all_0_98_98 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Equations (954) can reduce 515 to:
% 46.60/15.87  																											| (510)  ~ (e2 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Simplifying 510 yields:
% 46.60/15.87  																											| (76)  ~ (e2 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Equations (954) can reduce 128 to:
% 46.60/15.87  																											| (859)  ~ (e1 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| Simplifying 859 yields:
% 46.60/15.87  																											| (264)  ~ (e1 = e0)
% 46.60/15.87  																											|
% 46.60/15.87  																											| From (954) and (197) follows:
% 46.60/15.87  																											| (10073) op(e3, e0) = all_0_72_72
% 46.60/15.87  																											|
% 46.60/15.87  																											| From (954) and (8) follows:
% 46.60/15.87  																											| (1093) op(e3, e0) = e0
% 46.60/15.87  																											|
% 46.60/15.87  																											| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 46.60/15.87  																											| (10076) all_0_72_72 = e0
% 46.60/15.87  																											|
% 46.60/15.87  																											+-Applying beta-rule and splitting (89), into two cases.
% 46.60/15.87  																											|-Branch one:
% 46.60/15.88  																											| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.60/15.88  																											|
% 46.60/15.88  																												+-Applying beta-rule and splitting (1373), into two cases.
% 46.60/15.88  																												|-Branch one:
% 46.60/15.88  																												| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.60/15.88  																												|
% 46.60/15.88  																													+-Applying beta-rule and splitting (1374), into two cases.
% 46.60/15.88  																													|-Branch one:
% 46.60/15.88  																													| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.60/15.88  																													|
% 46.60/15.88  																														| Applying alpha-rule on (1375) yields:
% 46.60/15.88  																														| (1376) all_0_69_69 = e4
% 46.60/15.88  																														| (1377)  ~ (all_0_70_70 = e0)
% 46.60/15.88  																														|
% 46.60/15.88  																														| From (1376) and (145) follows:
% 46.60/15.88  																														| (19338) op(e0, all_0_81_81) = e4
% 46.60/15.88  																														|
% 46.60/15.88  																														+-Applying beta-rule and splitting (109), into two cases.
% 46.60/15.88  																														|-Branch one:
% 46.60/15.88  																														| (469) all_0_82_82 = e4
% 46.60/15.88  																														|
% 46.60/15.88  																															| Equations (469) can reduce 7 to:
% 46.60/15.88  																															| (662)  ~ (all_0_84_84 = e4)
% 46.60/15.88  																															|
% 46.60/15.88  																															| Simplifying 662 yields:
% 46.60/15.88  																															| (417)  ~ (all_0_84_84 = e4)
% 46.60/15.88  																															|
% 46.60/15.88  																															+-Applying beta-rule and splitting (92), into two cases.
% 46.60/15.88  																															|-Branch one:
% 46.60/15.88  																															| (552) all_0_84_84 = e2
% 46.60/15.88  																															|
% 46.60/15.88  																																| Equations (552) can reduce 612 to:
% 46.60/15.88  																																| (311) $false
% 46.60/15.88  																																|
% 46.60/15.88  																																|-The branch is then unsatisfiable
% 46.60/15.88  																															|-Branch two:
% 46.60/15.88  																															| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.88  																															| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.60/15.88  																															|
% 46.60/15.88  																																+-Applying beta-rule and splitting (617), into two cases.
% 46.60/15.88  																																|-Branch one:
% 46.60/15.88  																																| (1265) all_0_84_84 = e3
% 46.60/15.88  																																|
% 46.60/15.88  																																	| Equations (1265) can reduce 273 to:
% 46.60/15.88  																																	| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.88  																																	|
% 46.60/15.88  																																	| Equations (1265) can reduce 612 to:
% 46.60/15.88  																																	| (169)  ~ (e3 = e2)
% 46.60/15.88  																																	|
% 46.60/15.88  																																	| Equations (1265) can reduce 259 to:
% 46.60/15.88  																																	| (20)  ~ (e3 = e1)
% 46.60/15.88  																																	|
% 46.60/15.88  																																	+-Applying beta-rule and splitting (45), into two cases.
% 46.60/15.88  																																	|-Branch one:
% 46.60/15.88  																																	| (546) all_0_80_80 = e2
% 46.60/15.88  																																	|
% 46.60/15.88  																																		| Equations (546) can reduce 394 to:
% 46.60/15.88  																																		| (311) $false
% 46.60/15.88  																																		|
% 46.60/15.88  																																		|-The branch is then unsatisfiable
% 46.60/15.88  																																	|-Branch two:
% 46.60/15.88  																																	| (394)  ~ (all_0_80_80 = e2)
% 46.60/15.88  																																	| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.60/15.88  																																	|
% 46.60/15.88  																																		+-Applying beta-rule and splitting (106), into two cases.
% 46.60/15.88  																																		|-Branch one:
% 46.60/15.88  																																		| (771) all_0_78_78 = e3
% 46.60/15.88  																																		|
% 46.60/15.88  																																			| Combining equations (771,400) yields a new equation:
% 46.60/15.88  																																			| (547) e3 = e2
% 46.60/15.88  																																			|
% 46.60/15.88  																																			| Simplifying 547 yields:
% 46.60/15.88  																																			| (548) e3 = e2
% 46.60/15.88  																																			|
% 46.60/15.88  																																			| Equations (548) can reduce 169 to:
% 46.60/15.88  																																			| (311) $false
% 46.60/15.88  																																			|
% 46.60/15.88  																																			|-The branch is then unsatisfiable
% 46.60/15.88  																																		|-Branch two:
% 46.60/15.88  																																		| (418)  ~ (all_0_78_78 = e3)
% 46.60/15.88  																																		| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.60/15.88  																																		|
% 46.60/15.88  																																			+-Applying beta-rule and splitting (3232), into two cases.
% 46.60/15.88  																																			|-Branch one:
% 46.60/15.88  																																			| (824) all_0_80_80 = e1
% 46.60/15.88  																																			|
% 46.60/15.88  																																				| Equations (824) can reduce 828 to:
% 46.60/15.88  																																				| (311) $false
% 46.60/15.88  																																				|
% 46.60/15.88  																																				|-The branch is then unsatisfiable
% 46.60/15.88  																																			|-Branch two:
% 46.60/15.88  																																			| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.88  																																			| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.60/15.88  																																			|
% 46.60/15.88  																																				+-Applying beta-rule and splitting (1756), into two cases.
% 46.60/15.88  																																				|-Branch one:
% 46.60/15.88  																																				| (1708) all_0_79_79 = e3
% 46.60/15.88  																																				|
% 46.60/15.88  																																					| Combining equations (1708,457) yields a new equation:
% 46.60/15.88  																																					| (825) e3 = e1
% 46.60/15.88  																																					|
% 46.60/15.88  																																					| Simplifying 825 yields:
% 46.60/15.88  																																					| (772) e3 = e1
% 46.60/15.88  																																					|
% 46.60/15.88  																																					| Equations (772) can reduce 20 to:
% 46.60/15.88  																																					| (311) $false
% 46.60/15.88  																																					|
% 46.60/15.88  																																					|-The branch is then unsatisfiable
% 46.60/15.88  																																				|-Branch two:
% 46.60/15.88  																																				| (1711)  ~ (all_0_79_79 = e3)
% 46.60/15.88  																																				| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.60/15.88  																																				|
% 46.60/15.88  																																					+-Applying beta-rule and splitting (4018), into two cases.
% 46.60/15.88  																																					|-Branch one:
% 46.60/15.88  																																					| (416) all_0_80_80 = e3
% 46.60/15.88  																																					|
% 46.60/15.88  																																						| Equations (416) can reduce 2347 to:
% 46.60/15.88  																																						| (311) $false
% 46.60/15.88  																																						|
% 46.60/15.88  																																						|-The branch is then unsatisfiable
% 46.60/15.88  																																					|-Branch two:
% 46.60/15.88  																																					| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.88  																																					| (433) all_0_80_80 = e4
% 46.60/15.88  																																					|
% 46.60/15.88  																																						| Equations (433) can reduce 2347 to:
% 46.60/15.88  																																						| (177)  ~ (e4 = e3)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						+-Applying beta-rule and splitting (1768), into two cases.
% 46.60/15.88  																																						|-Branch one:
% 46.60/15.88  																																						| (416) all_0_80_80 = e3
% 46.60/15.88  																																						|
% 46.60/15.88  																																							| Combining equations (416,433) yields a new equation:
% 46.60/15.88  																																							| (434) e4 = e3
% 46.60/15.88  																																							|
% 46.60/15.88  																																							| Equations (434) can reduce 177 to:
% 46.60/15.88  																																							| (311) $false
% 46.60/15.88  																																							|
% 46.60/15.88  																																							|-The branch is then unsatisfiable
% 46.60/15.88  																																						|-Branch two:
% 46.60/15.88  																																						| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.88  																																						| (635) all_0_81_81 = e3
% 46.60/15.88  																																						|
% 46.60/15.88  																																							| Equations (635) can reduce 5 to:
% 46.60/15.88  																																							| (1518)  ~ (all_0_98_98 = e3)
% 46.60/15.88  																																							|
% 46.60/15.88  																																							| Simplifying 1518 yields:
% 46.60/15.88  																																							| (1519)  ~ (all_0_98_98 = e3)
% 46.60/15.88  																																							|
% 46.60/15.88  																																							| From (635) and (19338) follows:
% 46.60/15.88  																																							| (19344) op(e0, e3) = e4
% 46.60/15.88  																																							|
% 46.60/15.88  																																							+-Applying beta-rule and splitting (48), into two cases.
% 46.60/15.88  																																							|-Branch one:
% 46.60/15.88  																																							| (525) all_0_98_98 = e2
% 46.60/15.88  																																							|
% 46.60/15.88  																																								| Equations (525) can reduce 1349 to:
% 46.60/15.88  																																								| (311) $false
% 46.60/15.88  																																								|
% 46.60/15.88  																																								|-The branch is then unsatisfiable
% 46.60/15.88  																																							|-Branch two:
% 46.60/15.88  																																							| (1349)  ~ (all_0_98_98 = e2)
% 46.60/15.88  																																							| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.60/15.88  																																							|
% 46.60/15.88  																																								+-Applying beta-rule and splitting (5118), into two cases.
% 46.60/15.88  																																								|-Branch one:
% 46.60/15.88  																																								| (1543) all_0_98_98 = e1
% 46.60/15.88  																																								|
% 46.60/15.88  																																									| Equations (1543) can reduce 1804 to:
% 46.60/15.88  																																									| (311) $false
% 46.60/15.88  																																									|
% 46.60/15.88  																																									|-The branch is then unsatisfiable
% 46.60/15.88  																																								|-Branch two:
% 46.60/15.88  																																								| (1804)  ~ (all_0_98_98 = e1)
% 46.60/15.88  																																								| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.60/15.88  																																								|
% 46.60/15.88  																																									+-Applying beta-rule and splitting (5122), into two cases.
% 46.60/15.88  																																									|-Branch one:
% 46.60/15.88  																																									| (969) all_0_98_98 = e3
% 46.60/15.88  																																									|
% 46.60/15.88  																																										| Equations (969) can reduce 1519 to:
% 46.60/15.88  																																										| (311) $false
% 46.60/15.88  																																										|
% 46.60/15.88  																																										|-The branch is then unsatisfiable
% 46.60/15.88  																																									|-Branch two:
% 46.60/15.88  																																									| (1519)  ~ (all_0_98_98 = e3)
% 46.60/15.88  																																									| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.60/15.88  																																									|
% 46.60/15.88  																																										+-Applying beta-rule and splitting (5284), into two cases.
% 46.60/15.88  																																										|-Branch one:
% 46.60/15.88  																																										| (1121) all_0_98_98 = e0
% 46.60/15.88  																																										|
% 46.60/15.88  																																											| Equations (1121) can reduce 2059 to:
% 46.60/15.88  																																											| (311) $false
% 46.60/15.88  																																											|
% 46.60/15.88  																																											|-The branch is then unsatisfiable
% 46.60/15.88  																																										|-Branch two:
% 46.60/15.88  																																										| (2059)  ~ (all_0_98_98 = e0)
% 46.60/15.88  																																										| (2650) all_0_98_98 = e4
% 46.60/15.88  																																										|
% 46.60/15.88  																																											| Equations (2650) can reduce 107 to:
% 46.60/15.88  																																											| (315)  ~ (all_0_95_95 = e4)
% 46.60/15.88  																																											|
% 46.60/15.88  																																											| Instantiating formula (262) with e0, e3, e4, all_0_95_95 and discharging atoms op(e0, e3) = all_0_95_95, op(e0, e3) = e4, yields:
% 46.60/15.88  																																											| (894) all_0_95_95 = e4
% 46.60/15.88  																																											|
% 46.60/15.88  																																											| Equations (894) can reduce 315 to:
% 46.60/15.88  																																											| (311) $false
% 46.60/15.88  																																											|
% 46.60/15.88  																																											|-The branch is then unsatisfiable
% 46.60/15.88  																																|-Branch two:
% 46.60/15.88  																																| (422)  ~ (all_0_84_84 = e3)
% 46.60/15.88  																																| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.60/15.88  																																|
% 46.60/15.88  																																	+-Applying beta-rule and splitting (1268), into two cases.
% 46.60/15.88  																																	|-Branch one:
% 46.60/15.88  																																	| (916) all_0_84_84 = e0
% 46.60/15.88  																																	|
% 46.60/15.88  																																		| Equations (916) can reduce 919 to:
% 46.60/15.88  																																		| (311) $false
% 46.60/15.88  																																		|
% 46.60/15.88  																																		|-The branch is then unsatisfiable
% 46.60/15.88  																																	|-Branch two:
% 46.60/15.88  																																	| (919)  ~ (all_0_84_84 = e0)
% 46.60/15.88  																																	| (438) all_0_84_84 = e4
% 46.60/15.88  																																	|
% 46.60/15.88  																																		| Equations (438) can reduce 417 to:
% 46.60/15.88  																																		| (311) $false
% 46.60/15.88  																																		|
% 46.60/15.88  																																		|-The branch is then unsatisfiable
% 46.60/15.88  																														|-Branch two:
% 46.60/15.88  																														| (465)  ~ (all_0_82_82 = e4)
% 46.60/15.88  																														| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.60/15.88  																														|
% 46.60/15.88  																															+-Applying beta-rule and splitting (2205), into two cases.
% 46.60/15.88  																															|-Branch one:
% 46.60/15.88  																															| (789) all_0_82_82 = e3
% 46.60/15.88  																															|
% 46.60/15.88  																																| Equations (789) can reduce 7 to:
% 46.60/15.88  																																| (421)  ~ (all_0_84_84 = e3)
% 46.60/15.88  																																|
% 46.60/15.88  																																| Simplifying 421 yields:
% 46.60/15.88  																																| (422)  ~ (all_0_84_84 = e3)
% 46.60/15.88  																																|
% 46.60/15.88  																																| Equations (789) can reduce 255 to:
% 46.60/15.88  																																| (1815)  ~ (all_0_90_90 = e3)
% 46.60/15.88  																																|
% 46.60/15.88  																																| Simplifying 1815 yields:
% 46.60/15.88  																																| (745)  ~ (all_0_90_90 = e3)
% 46.60/15.88  																																|
% 46.60/15.88  																																+-Applying beta-rule and splitting (92), into two cases.
% 46.60/15.88  																																|-Branch one:
% 46.60/15.88  																																| (552) all_0_84_84 = e2
% 46.60/15.88  																																|
% 46.60/15.88  																																	| Equations (552) can reduce 612 to:
% 46.60/15.88  																																	| (311) $false
% 46.60/15.88  																																	|
% 46.60/15.88  																																	|-The branch is then unsatisfiable
% 46.60/15.88  																																|-Branch two:
% 46.60/15.88  																																| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.88  																																| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.60/15.88  																																|
% 46.60/15.88  																																	+-Applying beta-rule and splitting (617), into two cases.
% 46.60/15.88  																																	|-Branch one:
% 46.60/15.88  																																	| (1265) all_0_84_84 = e3
% 46.60/15.88  																																	|
% 46.60/15.88  																																		| Equations (1265) can reduce 422 to:
% 46.60/15.88  																																		| (311) $false
% 46.60/15.88  																																		|
% 46.60/15.88  																																		|-The branch is then unsatisfiable
% 46.60/15.88  																																	|-Branch two:
% 46.60/15.88  																																	| (422)  ~ (all_0_84_84 = e3)
% 46.60/15.88  																																	| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.60/15.88  																																	|
% 46.60/15.88  																																		+-Applying beta-rule and splitting (1268), into two cases.
% 46.60/15.88  																																		|-Branch one:
% 46.60/15.88  																																		| (916) all_0_84_84 = e0
% 46.60/15.88  																																		|
% 46.60/15.88  																																			| Equations (916) can reduce 919 to:
% 46.60/15.88  																																			| (311) $false
% 46.60/15.88  																																			|
% 46.60/15.88  																																			|-The branch is then unsatisfiable
% 46.60/15.88  																																		|-Branch two:
% 46.60/15.88  																																		| (919)  ~ (all_0_84_84 = e0)
% 46.60/15.88  																																		| (438) all_0_84_84 = e4
% 46.60/15.88  																																		|
% 46.60/15.88  																																			| Equations (438) can reduce 273 to:
% 46.60/15.88  																																			| (436)  ~ (all_0_80_80 = e4)
% 46.60/15.88  																																			|
% 46.60/15.88  																																			+-Applying beta-rule and splitting (45), into two cases.
% 46.60/15.88  																																			|-Branch one:
% 46.60/15.88  																																			| (546) all_0_80_80 = e2
% 46.60/15.88  																																			|
% 46.60/15.88  																																				| Equations (546) can reduce 394 to:
% 46.60/15.88  																																				| (311) $false
% 46.60/15.88  																																				|
% 46.60/15.88  																																				|-The branch is then unsatisfiable
% 46.60/15.88  																																			|-Branch two:
% 46.60/15.88  																																			| (394)  ~ (all_0_80_80 = e2)
% 46.60/15.88  																																			| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.60/15.88  																																			|
% 46.60/15.88  																																				+-Applying beta-rule and splitting (3232), into two cases.
% 46.60/15.88  																																				|-Branch one:
% 46.60/15.88  																																				| (824) all_0_80_80 = e1
% 46.60/15.88  																																				|
% 46.60/15.88  																																					| Equations (824) can reduce 828 to:
% 46.60/15.88  																																					| (311) $false
% 46.60/15.88  																																					|
% 46.60/15.88  																																					|-The branch is then unsatisfiable
% 46.60/15.88  																																				|-Branch two:
% 46.60/15.88  																																				| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.88  																																				| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.60/15.88  																																				|
% 46.60/15.88  																																					+-Applying beta-rule and splitting (4018), into two cases.
% 46.60/15.88  																																					|-Branch one:
% 46.60/15.88  																																					| (416) all_0_80_80 = e3
% 46.60/15.88  																																					|
% 46.60/15.88  																																						| Equations (416) can reduce 144 to:
% 46.60/15.88  																																						| (419)  ~ (all_0_81_81 = e3)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Simplifying 419 yields:
% 46.60/15.88  																																						| (420)  ~ (all_0_81_81 = e3)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Equations (416) can reduce 49 to:
% 46.60/15.88  																																						| (425)  ~ (all_0_92_92 = e3)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Simplifying 425 yields:
% 46.60/15.88  																																						| (426)  ~ (all_0_92_92 = e3)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Equations (416) can reduce 394 to:
% 46.60/15.88  																																						| (169)  ~ (e3 = e2)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Equations (416) can reduce 828 to:
% 46.60/15.88  																																						| (20)  ~ (e3 = e1)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						| Equations (416) can reduce 166 to:
% 46.60/15.88  																																						| (50)  ~ (e3 = e0)
% 46.60/15.88  																																						|
% 46.60/15.88  																																						+-Applying beta-rule and splitting (250), into two cases.
% 46.60/15.88  																																						|-Branch one:
% 46.60/15.88  																																						| (635) all_0_81_81 = e3
% 46.60/15.88  																																						|
% 46.60/15.88  																																							| Equations (635) can reduce 420 to:
% 46.60/15.88  																																							| (311) $false
% 46.60/15.88  																																							|
% 46.60/15.88  																																							|-The branch is then unsatisfiable
% 46.60/15.88  																																						|-Branch two:
% 46.60/15.88  																																						| (420)  ~ (all_0_81_81 = e3)
% 46.60/15.88  																																						| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.60/15.88  																																						|
% 46.60/15.88  																																							+-Applying beta-rule and splitting (282), into two cases.
% 46.60/15.88  																																							|-Branch one:
% 46.60/15.88  																																							| (754) all_0_90_90 = e3
% 46.60/15.88  																																							|
% 46.60/15.88  																																								| Equations (754) can reduce 745 to:
% 46.60/15.88  																																								| (311) $false
% 46.60/15.88  																																								|
% 46.60/15.88  																																								|-The branch is then unsatisfiable
% 46.60/15.88  																																							|-Branch two:
% 46.60/15.88  																																							| (745)  ~ (all_0_90_90 = e3)
% 46.60/15.88  																																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.60/15.88  																																							|
% 46.60/15.88  																																								+-Applying beta-rule and splitting (849), into two cases.
% 46.60/15.88  																																								|-Branch one:
% 46.60/15.88  																																								| (588) all_0_91_91 = e3
% 46.60/15.88  																																								|
% 46.60/15.88  																																									| Equations (588) can reduce 265 to:
% 46.60/15.88  																																									| (425)  ~ (all_0_92_92 = e3)
% 46.60/15.88  																																									|
% 46.60/15.88  																																									| Simplifying 425 yields:
% 46.60/15.88  																																									| (426)  ~ (all_0_92_92 = e3)
% 46.60/15.88  																																									|
% 46.60/15.88  																																									| Equations (588) can reduce 296 to:
% 46.60/15.88  																																									| (169)  ~ (e3 = e2)
% 46.60/15.88  																																									|
% 46.60/15.88  																																									| Equations (588) can reduce 959 to:
% 46.60/15.88  																																									| (20)  ~ (e3 = e1)
% 46.60/15.88  																																									|
% 46.60/15.88  																																									| From (588) and (1703) follows:
% 46.60/15.88  																																									| (1844) op(e2, e3) = e1
% 46.60/15.88  																																									|
% 46.60/15.88  																																									+-Applying beta-rule and splitting (1455), into two cases.
% 46.60/15.88  																																									|-Branch one:
% 46.60/15.88  																																									| (1456) all_0_91_91 = e0
% 46.60/15.88  																																									|
% 46.60/15.88  																																										| Combining equations (588,1456) yields a new equation:
% 46.60/15.88  																																										| (599) e3 = e0
% 46.60/15.88  																																										|
% 46.60/15.88  																																										| Simplifying 599 yields:
% 46.60/15.88  																																										| (600) e3 = e0
% 46.60/15.88  																																										|
% 46.60/15.88  																																										| Equations (600) can reduce 50 to:
% 46.60/15.88  																																										| (311) $false
% 46.60/15.88  																																										|
% 46.60/15.88  																																										|-The branch is then unsatisfiable
% 46.60/15.88  																																									|-Branch two:
% 46.60/15.88  																																									| (1487)  ~ (all_0_91_91 = e0)
% 46.60/15.88  																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.60/15.88  																																									|
% 46.60/15.88  																																										+-Applying beta-rule and splitting (84), into two cases.
% 46.60/15.88  																																										|-Branch one:
% 46.60/15.88  																																										| (1704) all_0_96_96 = e2
% 46.60/15.88  																																										|
% 46.60/15.88  																																											| Equations (1704) can reduce 1638 to:
% 46.60/15.88  																																											| (311) $false
% 46.60/15.88  																																											|
% 46.60/15.88  																																											|-The branch is then unsatisfiable
% 46.60/15.88  																																										|-Branch two:
% 46.60/15.88  																																										| (1638)  ~ (all_0_96_96 = e2)
% 46.60/15.88  																																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.60/15.89  																																										|
% 46.60/15.89  																																											+-Applying beta-rule and splitting (1488), into two cases.
% 46.60/15.89  																																											|-Branch one:
% 46.60/15.89  																																											| (942) all_0_92_92 = e0
% 46.60/15.89  																																											|
% 46.60/15.89  																																												| Equations (942) can reduce 426 to:
% 46.60/15.89  																																												| (906)  ~ (e3 = e0)
% 46.60/15.89  																																												|
% 46.60/15.89  																																												| Simplifying 906 yields:
% 46.60/15.89  																																												| (50)  ~ (e3 = e0)
% 46.60/15.89  																																												|
% 46.60/15.89  																																												+-Applying beta-rule and splitting (132), into two cases.
% 46.60/15.89  																																												|-Branch one:
% 46.60/15.89  																																												| (750) all_0_90_90 = e1
% 46.60/15.89  																																												|
% 46.60/15.89  																																													| Equations (750) can reduce 229 to:
% 46.60/15.89  																																													| (679)  ~ (all_0_95_95 = e1)
% 46.60/15.89  																																													|
% 46.60/15.89  																																													| Simplifying 679 yields:
% 46.60/15.89  																																													| (680)  ~ (all_0_95_95 = e1)
% 46.60/15.89  																																													|
% 46.60/15.89  																																													| Equations (750) can reduce 294 to:
% 46.60/15.89  																																													| (487)  ~ (e2 = e1)
% 46.60/15.89  																																													|
% 46.60/15.89  																																													| Simplifying 487 yields:
% 46.60/15.89  																																													| (243)  ~ (e2 = e1)
% 46.60/15.89  																																													|
% 46.60/15.89  																																													+-Applying beta-rule and splitting (176), into two cases.
% 46.60/15.89  																																													|-Branch one:
% 46.60/15.89  																																													| (785) all_0_95_95 = e1
% 46.60/15.89  																																													|
% 46.60/15.89  																																														| Equations (785) can reduce 680 to:
% 46.60/15.89  																																														| (311) $false
% 46.60/15.89  																																														|
% 46.60/15.89  																																														|-The branch is then unsatisfiable
% 46.60/15.89  																																													|-Branch two:
% 46.60/15.89  																																													| (680)  ~ (all_0_95_95 = e1)
% 46.60/15.89  																																													| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.60/15.89  																																													|
% 46.60/15.89  																																														+-Applying beta-rule and splitting (1707), into two cases.
% 46.60/15.89  																																														|-Branch one:
% 46.60/15.89  																																														| (960) all_0_96_96 = e1
% 46.60/15.89  																																														|
% 46.60/15.89  																																															| Equations (960) can reduce 1479 to:
% 46.60/15.89  																																															| (311) $false
% 46.60/15.89  																																															|
% 46.60/15.89  																																															|-The branch is then unsatisfiable
% 46.60/15.89  																																														|-Branch two:
% 46.60/15.89  																																														| (1479)  ~ (all_0_96_96 = e1)
% 46.60/15.89  																																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.60/15.89  																																														|
% 46.60/15.89  																																															+-Applying beta-rule and splitting (4488), into two cases.
% 46.60/15.89  																																															|-Branch one:
% 46.60/15.89  																																															| (804) all_0_85_85 = e3
% 46.60/15.89  																																															|
% 46.60/15.89  																																																| Combining equations (954,804) yields a new equation:
% 46.60/15.89  																																																| (600) e3 = e0
% 46.60/15.89  																																																|
% 46.60/15.89  																																																| Equations (600) can reduce 50 to:
% 46.60/15.89  																																																| (311) $false
% 46.60/15.89  																																																|
% 46.60/15.89  																																																|-The branch is then unsatisfiable
% 46.60/15.89  																																															|-Branch two:
% 46.60/15.89  																																															| (952)  ~ (all_0_85_85 = e3)
% 46.60/15.89  																																															| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.60/15.89  																																															|
% 46.60/15.89  																																																+-Applying beta-rule and splitting (829), into two cases.
% 46.60/15.89  																																																|-Branch one:
% 46.60/15.89  																																																| (482) all_0_87_87 = e1
% 46.60/15.89  																																																|
% 46.60/15.89  																																																	| Combining equations (482,374) yields a new equation:
% 46.60/15.89  																																																	| (385) e2 = e1
% 46.60/15.89  																																																	|
% 46.60/15.89  																																																	| Equations (385) can reduce 243 to:
% 46.60/15.89  																																																	| (311) $false
% 46.60/15.89  																																																	|
% 46.60/15.89  																																																	|-The branch is then unsatisfiable
% 46.60/15.89  																																																|-Branch two:
% 46.60/15.89  																																																| (625)  ~ (all_0_87_87 = e1)
% 46.60/15.89  																																																| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.60/15.89  																																																|
% 46.60/15.89  																																																	+-Applying beta-rule and splitting (4559), into two cases.
% 46.60/15.89  																																																	|-Branch one:
% 46.60/15.89  																																																	| (570) all_0_93_93 = e3
% 46.60/15.89  																																																	|
% 46.60/15.89  																																																		| Combining equations (522,570) yields a new equation:
% 46.60/15.89  																																																		| (548) e3 = e2
% 46.60/15.89  																																																		|
% 46.60/15.89  																																																		| Equations (548) can reduce 169 to:
% 46.60/15.89  																																																		| (311) $false
% 46.60/15.89  																																																		|
% 46.60/15.89  																																																		|-The branch is then unsatisfiable
% 46.60/15.89  																																																	|-Branch two:
% 46.60/15.89  																																																	| (602)  ~ (all_0_93_93 = e3)
% 46.60/15.89  																																																	| (969) all_0_98_98 = e3
% 46.60/15.89  																																																	|
% 46.60/15.89  																																																		| Equations (969) can reduce 2059 to:
% 46.60/15.89  																																																		| (50)  ~ (e3 = e0)
% 46.60/15.89  																																																		|
% 46.60/15.89  																																																		+-Applying beta-rule and splitting (112), into two cases.
% 46.60/15.89  																																																		|-Branch one:
% 46.60/15.89  																																																		| (538) all_0_97_97 = e2
% 46.60/15.89  																																																		|
% 46.60/15.89  																																																			| Equations (538) can reduce 527 to:
% 46.60/15.89  																																																			| (311) $false
% 46.60/15.89  																																																			|
% 46.60/15.89  																																																			|-The branch is then unsatisfiable
% 46.60/15.89  																																																		|-Branch two:
% 46.60/15.89  																																																		| (527)  ~ (all_0_97_97 = e2)
% 46.60/15.89  																																																		| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.60/15.89  																																																		|
% 46.60/15.89  																																																			+-Applying beta-rule and splitting (1400), into two cases.
% 46.60/15.89  																																																			|-Branch one:
% 46.60/15.89  																																																			| (1456) all_0_91_91 = e0
% 46.60/15.89  																																																			|
% 46.60/15.89  																																																				| Combining equations (588,1456) yields a new equation:
% 46.60/15.89  																																																				| (599) e3 = e0
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				| Simplifying 599 yields:
% 46.60/15.89  																																																				| (600) e3 = e0
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				| Equations (600) can reduce 50 to:
% 46.60/15.89  																																																				| (311) $false
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				|-The branch is then unsatisfiable
% 46.60/15.89  																																																			|-Branch two:
% 46.60/15.89  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 46.60/15.89  																																																			| (1837) all_0_96_96 = e0
% 46.60/15.89  																																																			|
% 46.60/15.89  																																																				| Equations (1837) can reduce 22 to:
% 46.60/15.89  																																																				| (938)  ~ (all_0_97_97 = e0)
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				| Simplifying 938 yields:
% 46.60/15.89  																																																				| (609)  ~ (all_0_97_97 = e0)
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				| Equations (1837) can reduce 1479 to:
% 46.60/15.89  																																																				| (859)  ~ (e1 = e0)
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				| Simplifying 859 yields:
% 46.60/15.89  																																																				| (264)  ~ (e1 = e0)
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																				+-Applying beta-rule and splitting (541), into two cases.
% 46.60/15.89  																																																				|-Branch one:
% 46.60/15.89  																																																				| (542) all_0_97_97 = e1
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																					| Equations (542) can reduce 609 to:
% 46.60/15.89  																																																					| (264)  ~ (e1 = e0)
% 46.60/15.89  																																																					|
% 46.60/15.89  																																																					| Instantiating formula (262) with e2, e3, e1, e0 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 46.60/15.89  																																																					| (865) e1 = e0
% 46.60/15.89  																																																					|
% 46.60/15.89  																																																					| Equations (865) can reduce 264 to:
% 46.60/15.89  																																																					| (311) $false
% 46.60/15.89  																																																					|
% 46.60/15.89  																																																					|-The branch is then unsatisfiable
% 46.60/15.89  																																																				|-Branch two:
% 46.60/15.89  																																																				| (486)  ~ (all_0_97_97 = e1)
% 46.60/15.89  																																																				| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 46.60/15.89  																																																				|
% 46.60/15.89  																																																					+-Applying beta-rule and splitting (788), into two cases.
% 46.60/15.89  																																																					|-Branch one:
% 46.60/15.89  																																																					| (960) all_0_96_96 = e1
% 46.60/15.89  																																																					|
% 46.60/15.89  																																																						| Combining equations (1837,960) yields a new equation:
% 46.60/15.89  																																																						| (865) e1 = e0
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																						| Equations (865) can reduce 264 to:
% 46.60/15.89  																																																						| (311) $false
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																						|-The branch is then unsatisfiable
% 46.60/15.89  																																																					|-Branch two:
% 46.60/15.89  																																																					| (1479)  ~ (all_0_96_96 = e1)
% 46.60/15.89  																																																					| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.60/15.89  																																																					|
% 46.60/15.89  																																																						| Equations (1837) can reduce 1479 to:
% 46.60/15.89  																																																						| (859)  ~ (e1 = e0)
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																						| Simplifying 859 yields:
% 46.60/15.89  																																																						| (264)  ~ (e1 = e0)
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																						+-Applying beta-rule and splitting (835), into two cases.
% 46.60/15.89  																																																						|-Branch one:
% 46.60/15.89  																																																						| (836) all_0_92_92 = e1
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																							| Combining equations (836,942) yields a new equation:
% 46.60/15.89  																																																							| (1107) e1 = e0
% 46.60/15.89  																																																							|
% 46.60/15.89  																																																							| Simplifying 1107 yields:
% 46.60/15.89  																																																							| (865) e1 = e0
% 46.60/15.89  																																																							|
% 46.60/15.89  																																																							| Equations (865) can reduce 264 to:
% 46.60/15.89  																																																							| (311) $false
% 46.60/15.89  																																																							|
% 46.60/15.89  																																																							|-The branch is then unsatisfiable
% 46.60/15.89  																																																						|-Branch two:
% 46.60/15.89  																																																						| (840)  ~ (all_0_92_92 = e1)
% 46.60/15.89  																																																						| (542) all_0_97_97 = e1
% 46.60/15.89  																																																						|
% 46.60/15.89  																																																							| Equations (542) can reduce 486 to:
% 46.60/15.89  																																																							| (311) $false
% 46.60/15.89  																																																							|
% 46.60/15.89  																																																							|-The branch is then unsatisfiable
% 46.60/15.89  																																												|-Branch two:
% 46.60/15.89  																																												| (678)  ~ (all_0_90_90 = e1)
% 46.60/15.89  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.60/15.89  																																												|
% 46.60/15.89  																																													+-Applying beta-rule and splitting (188), into two cases.
% 46.60/15.89  																																													|-Branch one:
% 46.60/15.89  																																													| (676) all_0_78_78 = e1
% 46.60/15.89  																																													|
% 46.60/15.89  																																														| Combining equations (400,676) yields a new equation:
% 46.60/15.89  																																														| (408) e2 = e1
% 46.60/15.89  																																														|
% 46.60/15.89  																																														| Simplifying 408 yields:
% 46.60/15.89  																																														| (385) e2 = e1
% 46.60/15.89  																																														|
% 46.60/15.89  																																														| Equations (385) can reduce 243 to:
% 46.60/15.89  																																														| (311) $false
% 46.60/15.89  																																														|
% 46.60/15.89  																																														|-The branch is then unsatisfiable
% 46.60/15.89  																																													|-Branch two:
% 46.60/15.89  																																													| (1601)  ~ (all_0_78_78 = e1)
% 46.60/15.89  																																													| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.60/15.89  																																													|
% 46.60/15.89  																																														| Equations (400) can reduce 1601 to:
% 46.60/15.89  																																														| (243)  ~ (e2 = e1)
% 46.60/15.89  																																														|
% 46.60/15.89  																																														+-Applying beta-rule and splitting (1526), into two cases.
% 46.60/15.89  																																														|-Branch one:
% 46.60/15.89  																																														| (801) all_0_91_91 = e1
% 46.60/15.89  																																														|
% 46.60/15.89  																																															| Combining equations (588,801) yields a new equation:
% 46.60/15.89  																																															| (825) e3 = e1
% 46.60/15.89  																																															|
% 46.60/15.89  																																															| Simplifying 825 yields:
% 46.60/15.89  																																															| (772) e3 = e1
% 46.60/15.89  																																															|
% 46.60/15.89  																																															| Equations (772) can reduce 20 to:
% 46.60/15.89  																																															| (311) $false
% 46.60/15.89  																																															|
% 46.60/15.89  																																															|-The branch is then unsatisfiable
% 46.60/15.89  																																														|-Branch two:
% 46.60/15.89  																																														| (959)  ~ (all_0_91_91 = e1)
% 46.60/15.89  																																														| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.60/15.89  																																														|
% 46.60/15.89  																																															+-Applying beta-rule and splitting (1556), into two cases.
% 46.60/15.89  																																															|-Branch one:
% 46.60/15.89  																																															| (836) all_0_92_92 = e1
% 46.60/15.89  																																															|
% 46.60/15.89  																																																| Combining equations (836,942) yields a new equation:
% 46.60/15.89  																																																| (1107) e1 = e0
% 46.60/15.89  																																																|
% 46.60/15.89  																																																| Simplifying 1107 yields:
% 46.60/15.89  																																																| (865) e1 = e0
% 46.60/15.89  																																																|
% 46.60/15.89  																																																| Equations (865) can reduce 264 to:
% 46.60/15.89  																																																| (311) $false
% 46.60/15.89  																																																|
% 46.60/15.89  																																																|-The branch is then unsatisfiable
% 46.60/15.89  																																															|-Branch two:
% 46.60/15.89  																																															| (840)  ~ (all_0_92_92 = e1)
% 46.60/15.89  																																															| (566) all_0_93_93 = e1
% 46.60/15.89  																																															|
% 46.60/15.89  																																																| Combining equations (522,566) yields a new equation:
% 46.60/15.89  																																																| (408) e2 = e1
% 46.60/15.89  																																																|
% 46.60/15.89  																																																| Simplifying 408 yields:
% 46.60/15.89  																																																| (385) e2 = e1
% 46.60/15.89  																																																|
% 46.60/15.89  																																																| Equations (385) can reduce 243 to:
% 46.60/15.89  																																																| (311) $false
% 46.60/15.89  																																																|
% 46.60/15.89  																																																|-The branch is then unsatisfiable
% 46.60/15.89  																																											|-Branch two:
% 46.60/15.89  																																											| (946)  ~ (all_0_92_92 = e0)
% 46.60/15.89  																																											| (604) all_0_93_93 = e0
% 46.60/15.89  																																											|
% 46.60/15.89  																																												| Combining equations (522,604) yields a new equation:
% 46.60/15.89  																																												| (923) e2 = e0
% 46.60/15.89  																																												|
% 46.60/15.89  																																												| Simplifying 923 yields:
% 46.60/15.89  																																												| (379) e2 = e0
% 46.60/15.89  																																												|
% 46.60/15.89  																																												| Equations (379) can reduce 76 to:
% 46.60/15.89  																																												| (311) $false
% 46.60/15.89  																																												|
% 46.60/15.89  																																												|-The branch is then unsatisfiable
% 46.60/15.89  																																								|-Branch two:
% 46.60/15.89  																																								| (571)  ~ (all_0_91_91 = e3)
% 46.60/15.89  																																								| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.60/15.89  																																								|
% 46.60/15.89  																																									+-Applying beta-rule and splitting (285), into two cases.
% 46.60/15.89  																																									|-Branch one:
% 46.60/15.89  																																									| (1708) all_0_79_79 = e3
% 46.60/15.89  																																									|
% 46.60/15.89  																																										| Combining equations (1708,457) yields a new equation:
% 46.60/15.89  																																										| (825) e3 = e1
% 46.60/15.89  																																										|
% 46.60/15.89  																																										| Simplifying 825 yields:
% 46.60/15.89  																																										| (772) e3 = e1
% 46.60/15.89  																																										|
% 46.60/15.89  																																										| Equations (772) can reduce 20 to:
% 46.60/15.89  																																										| (311) $false
% 46.60/15.89  																																										|
% 46.60/15.89  																																										|-The branch is then unsatisfiable
% 46.60/15.89  																																									|-Branch two:
% 46.60/15.89  																																									| (1711)  ~ (all_0_79_79 = e3)
% 46.60/15.89  																																									| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 46.60/15.89  																																									|
% 46.60/15.89  																																										+-Applying beta-rule and splitting (1712), into two cases.
% 46.60/15.89  																																										|-Branch one:
% 46.60/15.89  																																										| (795) all_0_83_83 = e3
% 46.60/15.89  																																										|
% 46.60/15.89  																																											| Combining equations (453,795) yields a new equation:
% 46.60/15.89  																																											| (548) e3 = e2
% 46.60/15.89  																																											|
% 46.60/15.89  																																											| Equations (548) can reduce 169 to:
% 46.60/15.89  																																											| (311) $false
% 46.60/15.89  																																											|
% 46.60/15.89  																																											|-The branch is then unsatisfiable
% 46.60/15.89  																																										|-Branch two:
% 46.60/15.89  																																										| (779)  ~ (all_0_83_83 = e3)
% 46.60/15.89  																																										| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 46.60/15.89  																																										|
% 46.60/15.89  																																											| Equations (453) can reduce 779 to:
% 46.60/15.89  																																											| (356)  ~ (e3 = e2)
% 46.60/15.89  																																											|
% 46.60/15.89  																																											| Simplifying 356 yields:
% 46.60/15.89  																																											| (169)  ~ (e3 = e2)
% 46.60/15.89  																																											|
% 46.60/15.89  																																											+-Applying beta-rule and splitting (881), into two cases.
% 46.60/15.89  																																											|-Branch one:
% 46.60/15.89  																																											| (882) all_0_92_92 = e3
% 46.60/15.89  																																											|
% 46.60/15.89  																																												| Equations (882) can reduce 426 to:
% 46.60/15.89  																																												| (311) $false
% 46.60/15.89  																																												|
% 46.60/15.89  																																												|-The branch is then unsatisfiable
% 46.60/15.89  																																											|-Branch two:
% 46.60/15.89  																																											| (426)  ~ (all_0_92_92 = e3)
% 46.60/15.89  																																											| (570) all_0_93_93 = e3
% 46.60/15.89  																																											|
% 46.60/15.89  																																												| Combining equations (522,570) yields a new equation:
% 46.60/15.89  																																												| (548) e3 = e2
% 46.60/15.89  																																												|
% 46.60/15.89  																																												| Equations (548) can reduce 169 to:
% 46.60/15.89  																																												| (311) $false
% 46.60/15.89  																																												|
% 46.60/15.89  																																												|-The branch is then unsatisfiable
% 46.60/15.89  																																					|-Branch two:
% 46.60/15.89  																																					| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.89  																																					| (433) all_0_80_80 = e4
% 46.60/15.89  																																					|
% 46.60/15.89  																																						| Equations (433) can reduce 436 to:
% 46.60/15.89  																																						| (311) $false
% 46.60/15.89  																																						|
% 46.60/15.89  																																						|-The branch is then unsatisfiable
% 46.60/15.89  																															|-Branch two:
% 46.60/15.89  																															| (793)  ~ (all_0_82_82 = e3)
% 46.60/15.89  																															| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.60/15.89  																															|
% 46.60/15.89  																																+-Applying beta-rule and splitting (2706), into two cases.
% 46.60/15.89  																																|-Branch one:
% 46.60/15.89  																																| (910) all_0_82_82 = e0
% 46.60/15.89  																																|
% 46.60/15.89  																																	| Equations (910) can reduce 914 to:
% 46.60/15.89  																																	| (311) $false
% 46.60/15.89  																																	|
% 46.60/15.89  																																	|-The branch is then unsatisfiable
% 46.60/15.89  																																|-Branch two:
% 46.60/15.89  																																| (914)  ~ (all_0_82_82 = e0)
% 46.60/15.89  																																| (469) all_0_82_82 = e4
% 46.60/15.89  																																|
% 46.60/15.89  																																	| Equations (469) can reduce 465 to:
% 46.60/15.89  																																	| (311) $false
% 46.60/15.89  																																	|
% 46.60/15.89  																																	|-The branch is then unsatisfiable
% 46.60/15.89  																													|-Branch two:
% 46.60/15.89  																													| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.60/15.89  																													|
% 46.60/15.89  																														| Applying alpha-rule on (1379) yields:
% 46.60/15.89  																														| (1380) all_0_71_71 = e3
% 46.60/15.89  																														| (1381)  ~ (all_0_72_72 = e0)
% 46.60/15.89  																														|
% 46.60/15.89  																														| Equations (10076) can reduce 1381 to:
% 46.60/15.89  																														| (311) $false
% 46.60/15.89  																														|
% 46.60/15.89  																														|-The branch is then unsatisfiable
% 46.60/15.89  																												|-Branch two:
% 46.60/15.89  																												| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.60/15.89  																												|
% 46.60/15.89  																													| Applying alpha-rule on (1385) yields:
% 46.60/15.89  																													| (1386) all_0_73_73 = e2
% 46.60/15.89  																													| (1387)  ~ (all_0_74_74 = e0)
% 46.60/15.89  																													|
% 46.60/15.89  																													| Combining equations (8321,1386) yields a new equation:
% 46.60/15.89  																													| (10159) all_0_97_97 = e2
% 46.60/15.89  																													|
% 46.60/15.89  																													| Simplifying 10159 yields:
% 46.60/15.89  																													| (538) all_0_97_97 = e2
% 46.60/15.89  																													|
% 46.60/15.89  																													| Equations (538) can reduce 527 to:
% 46.60/15.89  																													| (311) $false
% 46.60/15.89  																													|
% 46.60/15.89  																													|-The branch is then unsatisfiable
% 46.60/15.89  																											|-Branch two:
% 46.60/15.89  																											| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.60/15.89  																											|
% 46.60/15.89  																												| Applying alpha-rule on (1391) yields:
% 46.60/15.89  																												| (1392) all_0_75_75 = e1
% 46.60/15.89  																												| (1393)  ~ (all_0_76_76 = e0)
% 46.60/15.89  																												|
% 46.60/15.90  																												| Combining equations (31273,1392) yields a new equation:
% 46.60/15.90  																												| (34301) all_0_96_96 = e1
% 46.60/15.90  																												|
% 46.60/15.90  																												| Simplifying 34301 yields:
% 46.60/15.90  																												| (960) all_0_96_96 = e1
% 46.60/15.90  																												|
% 46.60/15.90  																												| Equations (960) can reduce 1479 to:
% 46.60/15.90  																												| (311) $false
% 46.60/15.90  																												|
% 46.60/15.90  																												|-The branch is then unsatisfiable
% 46.60/15.90  																										|-Branch two:
% 46.60/15.90  																										| (800)  ~ (all_0_85_85 = e0)
% 46.60/15.90  																										| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.60/15.90  																										|
% 46.60/15.90  																											+-Applying beta-rule and splitting (249), into two cases.
% 46.60/15.90  																											|-Branch one:
% 46.60/15.90  																											| (910) all_0_82_82 = e0
% 46.60/15.90  																											|
% 46.60/15.90  																												| Equations (910) can reduce 914 to:
% 46.60/15.90  																												| (311) $false
% 46.60/15.90  																												|
% 46.60/15.90  																												|-The branch is then unsatisfiable
% 46.60/15.90  																											|-Branch two:
% 46.60/15.90  																											| (914)  ~ (all_0_82_82 = e0)
% 46.60/15.90  																											| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.60/15.90  																											|
% 46.60/15.90  																												+-Applying beta-rule and splitting (1077), into two cases.
% 46.60/15.90  																												|-Branch one:
% 46.60/15.90  																												| (507) all_0_88_88 = e0
% 46.60/15.90  																												|
% 46.60/15.90  																													| Combining equations (504,507) yields a new equation:
% 46.60/15.90  																													| (1107) e1 = e0
% 46.60/15.90  																													|
% 46.60/15.90  																													| Simplifying 1107 yields:
% 46.60/15.90  																													| (865) e1 = e0
% 46.60/15.90  																													|
% 46.60/15.90  																													| Equations (865) can reduce 264 to:
% 46.60/15.90  																													| (311) $false
% 46.60/15.90  																													|
% 46.60/15.90  																													|-The branch is then unsatisfiable
% 46.60/15.90  																												|-Branch two:
% 46.60/15.90  																												| (1110)  ~ (all_0_88_88 = e0)
% 46.60/15.90  																												| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.60/15.90  																												|
% 46.60/15.90  																													+-Applying beta-rule and splitting (1111), into two cases.
% 46.60/15.90  																													|-Branch one:
% 46.60/15.90  																													| (604) all_0_93_93 = e0
% 46.60/15.90  																													|
% 46.60/15.90  																														| Combining equations (522,604) yields a new equation:
% 46.60/15.90  																														| (923) e2 = e0
% 46.60/15.90  																														|
% 46.60/15.90  																														| Simplifying 923 yields:
% 46.60/15.90  																														| (379) e2 = e0
% 46.60/15.90  																														|
% 46.60/15.90  																														| Equations (379) can reduce 76 to:
% 46.60/15.90  																														| (311) $false
% 46.60/15.90  																														|
% 46.60/15.90  																														|-The branch is then unsatisfiable
% 46.60/15.90  																													|-Branch two:
% 46.60/15.90  																													| (509)  ~ (all_0_93_93 = e0)
% 46.60/15.90  																													| (1121) all_0_98_98 = e0
% 46.60/15.90  																													|
% 46.60/15.90  																														| Equations (1121) can reduce 75 to:
% 46.60/15.90  																														| (800)  ~ (all_0_85_85 = e0)
% 46.60/15.90  																														|
% 46.60/15.90  																														| Equations (1121) can reduce 1349 to:
% 46.60/15.90  																														| (510)  ~ (e2 = e0)
% 46.60/15.90  																														|
% 46.60/15.90  																														| Simplifying 510 yields:
% 46.60/15.90  																														| (76)  ~ (e2 = e0)
% 46.60/15.90  																														|
% 46.60/15.90  																														+-Applying beta-rule and splitting (1309), into two cases.
% 46.60/15.90  																														|-Branch one:
% 46.60/15.90  																														| (798) all_0_83_83 = e0
% 46.60/15.90  																														|
% 46.60/15.90  																															| Combining equations (453,798) yields a new equation:
% 46.60/15.90  																															| (923) e2 = e0
% 46.60/15.90  																															|
% 46.60/15.90  																															| Simplifying 923 yields:
% 46.60/15.90  																															| (379) e2 = e0
% 46.60/15.90  																															|
% 46.60/15.90  																															| Equations (379) can reduce 76 to:
% 46.60/15.90  																															| (311) $false
% 46.60/15.90  																															|
% 46.60/15.90  																															|-The branch is then unsatisfiable
% 46.60/15.90  																														|-Branch two:
% 46.60/15.90  																														| (1314)  ~ (all_0_83_83 = e0)
% 46.60/15.90  																														| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.60/15.90  																														|
% 46.60/15.90  																															+-Applying beta-rule and splitting (1315), into two cases.
% 46.60/15.90  																															|-Branch one:
% 46.60/15.90  																															| (916) all_0_84_84 = e0
% 46.60/15.90  																															|
% 46.60/15.90  																																| Equations (916) can reduce 87 to:
% 46.60/15.90  																																| (2299)  ~ (all_0_92_92 = e0)
% 46.60/15.90  																																|
% 46.60/15.90  																																| Simplifying 2299 yields:
% 46.60/15.90  																																| (946)  ~ (all_0_92_92 = e0)
% 46.60/15.90  																																|
% 46.60/15.90  																																| Equations (916) can reduce 612 to:
% 46.60/15.90  																																| (510)  ~ (e2 = e0)
% 46.60/15.90  																																|
% 46.60/15.90  																																| Simplifying 510 yields:
% 46.60/15.90  																																| (76)  ~ (e2 = e0)
% 46.60/15.90  																																|
% 46.60/15.90  																																| From (916) and (122) follows:
% 46.60/15.90  																																| (1321) op(e1, e0) = all_0_62_62
% 46.60/15.90  																																|
% 46.60/15.90  																																+-Applying beta-rule and splitting (1455), into two cases.
% 46.60/15.90  																																|-Branch one:
% 46.60/15.90  																																| (1456) all_0_91_91 = e0
% 46.60/15.90  																																|
% 46.60/15.90  																																	| From (1456) and (51) follows:
% 46.60/15.90  																																	| (3461) op(e1, e0) = all_0_57_57
% 46.60/15.90  																																	|
% 46.60/15.90  																																	| Instantiating formula (262) with e1, e0, all_0_57_57, e2 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e2, yields:
% 46.60/15.90  																																	| (32427) all_0_57_57 = e2
% 46.60/15.90  																																	|
% 46.60/15.90  																																	| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = all_0_62_62, yields:
% 46.60/15.90  																																	| (11552) all_0_57_57 = all_0_62_62
% 46.60/15.90  																																	|
% 46.60/15.90  																																	| Combining equations (32427,11552) yields a new equation:
% 46.60/15.90  																																	| (9103) all_0_62_62 = e2
% 46.60/15.90  																																	|
% 46.60/15.90  																																	| Combining equations (9103,11552) yields a new equation:
% 46.60/15.90  																																	| (32427) all_0_57_57 = e2
% 46.60/15.90  																																	|
% 46.60/15.90  																																	| Equations (32427) can reduce 1702 to:
% 46.60/15.90  																																	| (311) $false
% 46.60/15.90  																																	|
% 46.60/15.90  																																	|-The branch is then unsatisfiable
% 46.60/15.90  																																|-Branch two:
% 46.60/15.90  																																| (1487)  ~ (all_0_91_91 = e0)
% 46.60/15.90  																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.60/15.90  																																|
% 46.60/15.90  																																	+-Applying beta-rule and splitting (1488), into two cases.
% 46.60/15.90  																																	|-Branch one:
% 46.60/15.90  																																	| (942) all_0_92_92 = e0
% 46.60/15.90  																																	|
% 46.60/15.90  																																		| Equations (942) can reduce 946 to:
% 46.60/15.90  																																		| (311) $false
% 46.60/15.90  																																		|
% 46.60/15.90  																																		|-The branch is then unsatisfiable
% 46.60/15.90  																																	|-Branch two:
% 46.60/15.90  																																	| (946)  ~ (all_0_92_92 = e0)
% 46.60/15.90  																																	| (604) all_0_93_93 = e0
% 46.60/15.90  																																	|
% 46.60/15.90  																																		| Combining equations (522,604) yields a new equation:
% 46.60/15.90  																																		| (923) e2 = e0
% 46.60/15.90  																																		|
% 46.60/15.90  																																		| Simplifying 923 yields:
% 46.60/15.90  																																		| (379) e2 = e0
% 46.60/15.90  																																		|
% 46.60/15.90  																																		| Equations (379) can reduce 76 to:
% 46.60/15.90  																																		| (311) $false
% 46.60/15.90  																																		|
% 46.60/15.90  																																		|-The branch is then unsatisfiable
% 46.60/15.90  																															|-Branch two:
% 46.60/15.90  																															| (919)  ~ (all_0_84_84 = e0)
% 46.60/15.90  																															| (954) all_0_85_85 = e0
% 46.60/15.90  																															|
% 46.60/15.90  																																| Equations (954) can reduce 800 to:
% 46.60/15.90  																																| (311) $false
% 46.60/15.90  																																|
% 46.60/15.90  																																|-The branch is then unsatisfiable
% 46.60/15.91  																				|-Branch two:
% 46.60/15.91  																				| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 46.60/15.91  																				|
% 46.60/15.91  																					| Applying alpha-rule on (4957) yields:
% 46.60/15.91  																					| (4958) all_0_58_58 = e0
% 46.60/15.91  																					| (4959)  ~ (all_0_59_59 = e2)
% 46.60/15.91  																					|
% 46.60/15.91  																					| From (4958) and (212) follows:
% 46.60/15.91  																					| (4960) op(e2, all_0_96_96) = e0
% 46.60/15.91  																					|
% 46.60/15.91  																					+-Applying beta-rule and splitting (151), into two cases.
% 46.60/15.91  																					|-Branch one:
% 46.60/15.91  																					| (824) all_0_80_80 = e1
% 46.60/15.91  																					|
% 46.60/15.91  																						| Equations (824) can reduce 828 to:
% 46.60/15.91  																						| (311) $false
% 46.60/15.91  																						|
% 46.60/15.91  																						|-The branch is then unsatisfiable
% 46.60/15.91  																					|-Branch two:
% 46.60/15.91  																					| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.91  																					| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.60/15.91  																					|
% 46.60/15.91  																						+-Applying beta-rule and splitting (186), into two cases.
% 46.60/15.91  																						|-Branch one:
% 46.60/15.91  																						| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 46.60/15.91  																						|
% 46.60/15.91  																							+-Applying beta-rule and splitting (726), into two cases.
% 46.60/15.91  																							|-Branch one:
% 46.60/15.91  																							| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 46.60/15.91  																							|
% 46.60/15.91  																								+-Applying beta-rule and splitting (727), into two cases.
% 46.60/15.91  																								|-Branch one:
% 46.60/15.91  																								| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 46.60/15.91  																								|
% 46.60/15.91  																									| Applying alpha-rule on (728) yields:
% 46.60/15.91  																									| (729) all_0_43_43 = e4
% 46.60/15.91  																									| (730)  ~ (all_0_44_44 = e3)
% 46.60/15.91  																									|
% 46.60/15.91  																									| Combining equations (729,689) yields a new equation:
% 46.60/15.91  																									| (309) e4 = e2
% 46.60/15.91  																									|
% 46.60/15.91  																									| Simplifying 309 yields:
% 46.60/15.91  																									| (310) e4 = e2
% 46.60/15.91  																									|
% 46.60/15.91  																									| Equations (310) can reduce 79 to:
% 46.60/15.91  																									| (311) $false
% 46.60/15.91  																									|
% 46.60/15.91  																									|-The branch is then unsatisfiable
% 46.60/15.91  																								|-Branch two:
% 46.60/15.91  																								| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 46.60/15.91  																								|
% 46.60/15.91  																									| Applying alpha-rule on (734) yields:
% 46.60/15.91  																									| (735) all_0_46_46 = e2
% 46.60/15.91  																									| (736)  ~ (all_0_47_47 = e3)
% 46.60/15.91  																									|
% 46.60/15.91  																									| Combining equations (9576,735) yields a new equation:
% 46.60/15.91  																									| (13555) all_0_85_85 = e2
% 46.60/15.91  																									|
% 46.60/15.91  																									| Simplifying 13555 yields:
% 46.60/15.91  																									| (512) all_0_85_85 = e2
% 46.60/15.91  																									|
% 46.60/15.91  																									| Equations (512) can reduce 515 to:
% 46.60/15.91  																									| (311) $false
% 46.60/15.91  																									|
% 46.60/15.91  																									|-The branch is then unsatisfiable
% 46.60/15.91  																							|-Branch two:
% 46.60/15.91  																							| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 46.60/15.91  																							|
% 46.60/15.91  																								| Applying alpha-rule on (740) yields:
% 46.60/15.91  																								| (741) all_0_48_48 = e1
% 46.60/15.91  																								| (742)  ~ (all_0_49_49 = e3)
% 46.60/15.91  																								|
% 46.60/15.91  																								| From (741) and (217) follows:
% 46.60/15.91  																								| (743) op(e3, all_0_90_90) = e1
% 46.60/15.91  																								|
% 46.60/15.91  																								+-Applying beta-rule and splitting (10), into two cases.
% 46.60/15.91  																								|-Branch one:
% 46.60/15.91  																								| (530) all_0_82_82 = e2
% 46.60/15.91  																								|
% 46.60/15.91  																									| Equations (530) can reduce 347 to:
% 46.60/15.91  																									| (311) $false
% 46.60/15.91  																									|
% 46.60/15.91  																									|-The branch is then unsatisfiable
% 46.60/15.91  																								|-Branch two:
% 46.60/15.91  																								| (347)  ~ (all_0_82_82 = e2)
% 46.60/15.91  																								| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.60/15.91  																								|
% 46.60/15.91  																									+-Applying beta-rule and splitting (123), into two cases.
% 46.60/15.91  																									|-Branch one:
% 46.60/15.91  																									| (473) all_0_81_81 = e2
% 46.60/15.91  																									|
% 46.60/15.91  																										| Equations (473) can reduce 396 to:
% 46.60/15.91  																										| (311) $false
% 46.60/15.91  																										|
% 46.60/15.91  																										|-The branch is then unsatisfiable
% 46.60/15.91  																									|-Branch two:
% 46.60/15.91  																									| (396)  ~ (all_0_81_81 = e2)
% 46.60/15.91  																									| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 46.60/15.91  																									|
% 46.60/15.91  																										+-Applying beta-rule and splitting (284), into two cases.
% 46.60/15.91  																										|-Branch one:
% 46.60/15.91  																										| (1723) all_0_91_91 = e2
% 46.60/15.91  																										|
% 46.60/15.91  																											| Equations (1723) can reduce 296 to:
% 46.60/15.91  																											| (311) $false
% 46.60/15.91  																											|
% 46.60/15.91  																											|-The branch is then unsatisfiable
% 46.60/15.91  																										|-Branch two:
% 46.60/15.91  																										| (296)  ~ (all_0_91_91 = e2)
% 46.60/15.91  																										| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.60/15.91  																										|
% 46.60/15.91  																											+-Applying beta-rule and splitting (291), into two cases.
% 46.60/15.91  																											|-Branch one:
% 46.60/15.91  																											| (758) all_0_90_90 = e0
% 46.60/15.91  																											|
% 46.60/15.91  																												| Equations (758) can reduce 762 to:
% 46.60/15.91  																												| (311) $false
% 46.60/15.91  																												|
% 46.60/15.91  																												|-The branch is then unsatisfiable
% 46.60/15.91  																											|-Branch two:
% 46.60/15.91  																											| (762)  ~ (all_0_90_90 = e0)
% 46.60/15.91  																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.60/15.91  																											|
% 46.60/15.91  																												+-Applying beta-rule and splitting (289), into two cases.
% 46.60/15.91  																												|-Branch one:
% 46.60/15.91  																												| (954) all_0_85_85 = e0
% 46.60/15.91  																												|
% 46.60/15.91  																													| Equations (954) can reduce 209 to:
% 46.60/15.91  																													| (914)  ~ (all_0_82_82 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Equations (954) can reduce 154 to:
% 46.60/15.91  																													| (919)  ~ (all_0_84_84 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Equations (954) can reduce 75 to:
% 46.60/15.91  																													| (2058)  ~ (all_0_98_98 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Simplifying 2058 yields:
% 46.60/15.91  																													| (2059)  ~ (all_0_98_98 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Equations (954) can reduce 515 to:
% 46.60/15.91  																													| (510)  ~ (e2 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Simplifying 510 yields:
% 46.60/15.91  																													| (76)  ~ (e2 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Equations (954) can reduce 128 to:
% 46.60/15.91  																													| (859)  ~ (e1 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| Simplifying 859 yields:
% 46.60/15.91  																													| (264)  ~ (e1 = e0)
% 46.60/15.91  																													|
% 46.60/15.91  																													| From (954) and (197) follows:
% 46.60/15.91  																													| (10073) op(e3, e0) = all_0_72_72
% 46.60/15.91  																													|
% 46.60/15.91  																													| From (954) and (8) follows:
% 46.60/15.91  																													| (1093) op(e3, e0) = e0
% 46.60/15.91  																													|
% 46.60/15.91  																													| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 46.60/15.91  																													| (10076) all_0_72_72 = e0
% 46.60/15.91  																													|
% 46.60/15.91  																													+-Applying beta-rule and splitting (89), into two cases.
% 46.60/15.91  																													|-Branch one:
% 46.60/15.91  																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.60/15.91  																													|
% 46.60/15.91  																														+-Applying beta-rule and splitting (1373), into two cases.
% 46.60/15.91  																														|-Branch one:
% 46.60/15.91  																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.60/15.91  																														|
% 46.60/15.91  																															+-Applying beta-rule and splitting (1374), into two cases.
% 46.60/15.91  																															|-Branch one:
% 46.60/15.91  																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.60/15.91  																															|
% 46.60/15.91  																																| Applying alpha-rule on (1375) yields:
% 46.60/15.91  																																| (1376) all_0_69_69 = e4
% 46.60/15.91  																																| (1377)  ~ (all_0_70_70 = e0)
% 46.60/15.91  																																|
% 46.60/15.91  																																| From (1376) and (145) follows:
% 46.60/15.91  																																| (19338) op(e0, all_0_81_81) = e4
% 46.60/15.91  																																|
% 46.60/15.91  																																+-Applying beta-rule and splitting (109), into two cases.
% 46.60/15.91  																																|-Branch one:
% 46.60/15.91  																																| (469) all_0_82_82 = e4
% 46.60/15.91  																																|
% 46.60/15.91  																																	| Equations (469) can reduce 7 to:
% 46.60/15.91  																																	| (662)  ~ (all_0_84_84 = e4)
% 46.60/15.91  																																	|
% 46.60/15.91  																																	| Simplifying 662 yields:
% 46.60/15.91  																																	| (417)  ~ (all_0_84_84 = e4)
% 46.60/15.91  																																	|
% 46.60/15.91  																																	+-Applying beta-rule and splitting (92), into two cases.
% 46.60/15.91  																																	|-Branch one:
% 46.60/15.91  																																	| (552) all_0_84_84 = e2
% 46.60/15.91  																																	|
% 46.60/15.91  																																		| Equations (552) can reduce 612 to:
% 46.60/15.91  																																		| (311) $false
% 46.60/15.91  																																		|
% 46.60/15.91  																																		|-The branch is then unsatisfiable
% 46.60/15.91  																																	|-Branch two:
% 46.60/15.91  																																	| (612)  ~ (all_0_84_84 = e2)
% 46.60/15.91  																																	| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.60/15.91  																																	|
% 46.60/15.91  																																		+-Applying beta-rule and splitting (617), into two cases.
% 46.60/15.91  																																		|-Branch one:
% 46.60/15.91  																																		| (1265) all_0_84_84 = e3
% 46.60/15.91  																																		|
% 46.60/15.91  																																			| Equations (1265) can reduce 273 to:
% 46.60/15.91  																																			| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.91  																																			|
% 46.60/15.91  																																			| Equations (1265) can reduce 612 to:
% 46.60/15.91  																																			| (169)  ~ (e3 = e2)
% 46.60/15.91  																																			|
% 46.60/15.91  																																			| Equations (1265) can reduce 259 to:
% 46.60/15.91  																																			| (20)  ~ (e3 = e1)
% 46.60/15.91  																																			|
% 46.60/15.91  																																			+-Applying beta-rule and splitting (45), into two cases.
% 46.60/15.91  																																			|-Branch one:
% 46.60/15.91  																																			| (546) all_0_80_80 = e2
% 46.60/15.91  																																			|
% 46.60/15.91  																																				| Equations (546) can reduce 394 to:
% 46.60/15.91  																																				| (311) $false
% 46.60/15.91  																																				|
% 46.60/15.91  																																				|-The branch is then unsatisfiable
% 46.60/15.91  																																			|-Branch two:
% 46.60/15.91  																																			| (394)  ~ (all_0_80_80 = e2)
% 46.60/15.91  																																			| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.60/15.91  																																			|
% 46.60/15.91  																																				+-Applying beta-rule and splitting (106), into two cases.
% 46.60/15.91  																																				|-Branch one:
% 46.60/15.91  																																				| (771) all_0_78_78 = e3
% 46.60/15.91  																																				|
% 46.60/15.91  																																					| Combining equations (771,400) yields a new equation:
% 46.60/15.91  																																					| (547) e3 = e2
% 46.60/15.91  																																					|
% 46.60/15.91  																																					| Simplifying 547 yields:
% 46.60/15.91  																																					| (548) e3 = e2
% 46.60/15.91  																																					|
% 46.60/15.91  																																					| Equations (548) can reduce 169 to:
% 46.60/15.91  																																					| (311) $false
% 46.60/15.91  																																					|
% 46.60/15.91  																																					|-The branch is then unsatisfiable
% 46.60/15.91  																																				|-Branch two:
% 46.60/15.91  																																				| (418)  ~ (all_0_78_78 = e3)
% 46.60/15.91  																																				| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.60/15.91  																																				|
% 46.60/15.91  																																					+-Applying beta-rule and splitting (3232), into two cases.
% 46.60/15.91  																																					|-Branch one:
% 46.60/15.91  																																					| (824) all_0_80_80 = e1
% 46.60/15.91  																																					|
% 46.60/15.91  																																						| Equations (824) can reduce 828 to:
% 46.60/15.91  																																						| (311) $false
% 46.60/15.91  																																						|
% 46.60/15.91  																																						|-The branch is then unsatisfiable
% 46.60/15.91  																																					|-Branch two:
% 46.60/15.91  																																					| (828)  ~ (all_0_80_80 = e1)
% 46.60/15.91  																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.60/15.91  																																					|
% 46.60/15.91  																																						+-Applying beta-rule and splitting (1756), into two cases.
% 46.60/15.91  																																						|-Branch one:
% 46.60/15.91  																																						| (1708) all_0_79_79 = e3
% 46.60/15.91  																																						|
% 46.60/15.91  																																							| Combining equations (1708,457) yields a new equation:
% 46.60/15.91  																																							| (825) e3 = e1
% 46.60/15.91  																																							|
% 46.60/15.91  																																							| Simplifying 825 yields:
% 46.60/15.91  																																							| (772) e3 = e1
% 46.60/15.91  																																							|
% 46.60/15.91  																																							| Equations (772) can reduce 20 to:
% 46.60/15.91  																																							| (311) $false
% 46.60/15.91  																																							|
% 46.60/15.91  																																							|-The branch is then unsatisfiable
% 46.60/15.91  																																						|-Branch two:
% 46.60/15.91  																																						| (1711)  ~ (all_0_79_79 = e3)
% 46.60/15.91  																																						| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.60/15.91  																																						|
% 46.60/15.91  																																							+-Applying beta-rule and splitting (4018), into two cases.
% 46.60/15.91  																																							|-Branch one:
% 46.60/15.91  																																							| (416) all_0_80_80 = e3
% 46.60/15.91  																																							|
% 46.60/15.91  																																								| Equations (416) can reduce 2347 to:
% 46.60/15.91  																																								| (311) $false
% 46.60/15.91  																																								|
% 46.60/15.91  																																								|-The branch is then unsatisfiable
% 46.60/15.91  																																							|-Branch two:
% 46.60/15.91  																																							| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.91  																																							| (433) all_0_80_80 = e4
% 46.60/15.91  																																							|
% 46.60/15.91  																																								| Equations (433) can reduce 2347 to:
% 46.60/15.91  																																								| (177)  ~ (e4 = e3)
% 46.60/15.91  																																								|
% 46.60/15.91  																																								+-Applying beta-rule and splitting (1768), into two cases.
% 46.60/15.91  																																								|-Branch one:
% 46.60/15.91  																																								| (416) all_0_80_80 = e3
% 46.60/15.91  																																								|
% 46.60/15.91  																																									| Combining equations (416,433) yields a new equation:
% 46.60/15.91  																																									| (434) e4 = e3
% 46.60/15.91  																																									|
% 46.60/15.91  																																									| Equations (434) can reduce 177 to:
% 46.60/15.91  																																									| (311) $false
% 46.60/15.91  																																									|
% 46.60/15.91  																																									|-The branch is then unsatisfiable
% 46.60/15.91  																																								|-Branch two:
% 46.60/15.91  																																								| (2347)  ~ (all_0_80_80 = e3)
% 46.60/15.91  																																								| (635) all_0_81_81 = e3
% 46.60/15.91  																																								|
% 46.60/15.91  																																									| Equations (635) can reduce 5 to:
% 46.60/15.91  																																									| (1518)  ~ (all_0_98_98 = e3)
% 46.60/15.91  																																									|
% 46.60/15.91  																																									| Simplifying 1518 yields:
% 46.60/15.91  																																									| (1519)  ~ (all_0_98_98 = e3)
% 46.60/15.91  																																									|
% 46.60/15.91  																																									| From (635) and (19338) follows:
% 46.68/15.91  																																									| (19344) op(e0, e3) = e4
% 46.68/15.91  																																									|
% 46.68/15.91  																																									+-Applying beta-rule and splitting (48), into two cases.
% 46.68/15.91  																																									|-Branch one:
% 46.68/15.91  																																									| (525) all_0_98_98 = e2
% 46.68/15.91  																																									|
% 46.68/15.91  																																										| Equations (525) can reduce 1349 to:
% 46.68/15.91  																																										| (311) $false
% 46.68/15.91  																																										|
% 46.68/15.91  																																										|-The branch is then unsatisfiable
% 46.68/15.91  																																									|-Branch two:
% 46.68/15.91  																																									| (1349)  ~ (all_0_98_98 = e2)
% 46.68/15.91  																																									| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.68/15.91  																																									|
% 46.68/15.91  																																										+-Applying beta-rule and splitting (5118), into two cases.
% 46.68/15.91  																																										|-Branch one:
% 46.68/15.91  																																										| (1543) all_0_98_98 = e1
% 46.68/15.91  																																										|
% 46.68/15.91  																																											| Equations (1543) can reduce 1804 to:
% 46.68/15.91  																																											| (311) $false
% 46.68/15.91  																																											|
% 46.68/15.91  																																											|-The branch is then unsatisfiable
% 46.68/15.91  																																										|-Branch two:
% 46.68/15.91  																																										| (1804)  ~ (all_0_98_98 = e1)
% 46.68/15.91  																																										| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.68/15.91  																																										|
% 46.68/15.91  																																											+-Applying beta-rule and splitting (5122), into two cases.
% 46.68/15.91  																																											|-Branch one:
% 46.68/15.91  																																											| (969) all_0_98_98 = e3
% 46.68/15.91  																																											|
% 46.68/15.91  																																												| Equations (969) can reduce 1519 to:
% 46.68/15.91  																																												| (311) $false
% 46.68/15.91  																																												|
% 46.68/15.91  																																												|-The branch is then unsatisfiable
% 46.68/15.91  																																											|-Branch two:
% 46.68/15.91  																																											| (1519)  ~ (all_0_98_98 = e3)
% 46.68/15.91  																																											| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.68/15.91  																																											|
% 46.68/15.91  																																												+-Applying beta-rule and splitting (5284), into two cases.
% 46.68/15.91  																																												|-Branch one:
% 46.68/15.91  																																												| (1121) all_0_98_98 = e0
% 46.68/15.91  																																												|
% 46.68/15.91  																																													| Equations (1121) can reduce 2059 to:
% 46.68/15.91  																																													| (311) $false
% 46.68/15.92  																																													|
% 46.68/15.92  																																													|-The branch is then unsatisfiable
% 46.68/15.92  																																												|-Branch two:
% 46.68/15.92  																																												| (2059)  ~ (all_0_98_98 = e0)
% 46.68/15.92  																																												| (2650) all_0_98_98 = e4
% 46.68/15.92  																																												|
% 46.68/15.92  																																													| Equations (2650) can reduce 107 to:
% 46.68/15.92  																																													| (315)  ~ (all_0_95_95 = e4)
% 46.68/15.92  																																													|
% 46.68/15.92  																																													| Instantiating formula (262) with e0, e3, e4, all_0_95_95 and discharging atoms op(e0, e3) = all_0_95_95, op(e0, e3) = e4, yields:
% 46.68/15.92  																																													| (894) all_0_95_95 = e4
% 46.68/15.92  																																													|
% 46.68/15.92  																																													| Equations (894) can reduce 315 to:
% 46.68/15.92  																																													| (311) $false
% 46.68/15.92  																																													|
% 46.68/15.92  																																													|-The branch is then unsatisfiable
% 46.68/15.92  																																		|-Branch two:
% 46.68/15.92  																																		| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.92  																																		| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.68/15.92  																																		|
% 46.68/15.92  																																			+-Applying beta-rule and splitting (1268), into two cases.
% 46.68/15.92  																																			|-Branch one:
% 46.68/15.92  																																			| (916) all_0_84_84 = e0
% 46.68/15.92  																																			|
% 46.68/15.92  																																				| Equations (916) can reduce 919 to:
% 46.68/15.92  																																				| (311) $false
% 46.68/15.92  																																				|
% 46.68/15.92  																																				|-The branch is then unsatisfiable
% 46.68/15.92  																																			|-Branch two:
% 46.68/15.92  																																			| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.92  																																			| (438) all_0_84_84 = e4
% 46.68/15.92  																																			|
% 46.68/15.92  																																				| Equations (438) can reduce 417 to:
% 46.68/15.92  																																				| (311) $false
% 46.68/15.92  																																				|
% 46.68/15.92  																																				|-The branch is then unsatisfiable
% 46.68/15.92  																																|-Branch two:
% 46.68/15.92  																																| (465)  ~ (all_0_82_82 = e4)
% 46.68/15.92  																																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.68/15.92  																																|
% 46.68/15.92  																																	+-Applying beta-rule and splitting (2205), into two cases.
% 46.68/15.92  																																	|-Branch one:
% 46.68/15.92  																																	| (789) all_0_82_82 = e3
% 46.68/15.92  																																	|
% 46.68/15.92  																																		| Equations (789) can reduce 7 to:
% 46.68/15.92  																																		| (421)  ~ (all_0_84_84 = e3)
% 46.68/15.92  																																		|
% 46.68/15.92  																																		| Simplifying 421 yields:
% 46.68/15.92  																																		| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.92  																																		|
% 46.68/15.92  																																		| Equations (789) can reduce 255 to:
% 46.68/15.92  																																		| (1815)  ~ (all_0_90_90 = e3)
% 46.68/15.92  																																		|
% 46.68/15.92  																																		| Simplifying 1815 yields:
% 46.68/15.92  																																		| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.92  																																		|
% 46.68/15.92  																																		+-Applying beta-rule and splitting (92), into two cases.
% 46.68/15.92  																																		|-Branch one:
% 46.68/15.92  																																		| (552) all_0_84_84 = e2
% 46.68/15.92  																																		|
% 46.68/15.92  																																			| Equations (552) can reduce 612 to:
% 46.68/15.92  																																			| (311) $false
% 46.68/15.92  																																			|
% 46.68/15.92  																																			|-The branch is then unsatisfiable
% 46.68/15.92  																																		|-Branch two:
% 46.68/15.92  																																		| (612)  ~ (all_0_84_84 = e2)
% 46.68/15.92  																																		| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.68/15.92  																																		|
% 46.68/15.92  																																			+-Applying beta-rule and splitting (617), into two cases.
% 46.68/15.92  																																			|-Branch one:
% 46.68/15.92  																																			| (1265) all_0_84_84 = e3
% 46.68/15.92  																																			|
% 46.68/15.92  																																				| Equations (1265) can reduce 422 to:
% 46.68/15.92  																																				| (311) $false
% 46.68/15.92  																																				|
% 46.68/15.92  																																				|-The branch is then unsatisfiable
% 46.68/15.92  																																			|-Branch two:
% 46.68/15.92  																																			| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.92  																																			| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.68/15.92  																																			|
% 46.68/15.92  																																				+-Applying beta-rule and splitting (1268), into two cases.
% 46.68/15.92  																																				|-Branch one:
% 46.68/15.92  																																				| (916) all_0_84_84 = e0
% 46.68/15.92  																																				|
% 46.68/15.92  																																					| Equations (916) can reduce 919 to:
% 46.68/15.92  																																					| (311) $false
% 46.68/15.92  																																					|
% 46.68/15.92  																																					|-The branch is then unsatisfiable
% 46.68/15.92  																																				|-Branch two:
% 46.68/15.92  																																				| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.92  																																				| (438) all_0_84_84 = e4
% 46.68/15.92  																																				|
% 46.68/15.92  																																					| Equations (438) can reduce 273 to:
% 46.68/15.92  																																					| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.92  																																					|
% 46.68/15.92  																																					+-Applying beta-rule and splitting (45), into two cases.
% 46.68/15.92  																																					|-Branch one:
% 46.68/15.92  																																					| (546) all_0_80_80 = e2
% 46.68/15.92  																																					|
% 46.68/15.92  																																						| Equations (546) can reduce 394 to:
% 46.68/15.92  																																						| (311) $false
% 46.68/15.92  																																						|
% 46.68/15.92  																																						|-The branch is then unsatisfiable
% 46.68/15.92  																																					|-Branch two:
% 46.68/15.92  																																					| (394)  ~ (all_0_80_80 = e2)
% 46.68/15.92  																																					| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.68/15.92  																																					|
% 46.68/15.92  																																						+-Applying beta-rule and splitting (3232), into two cases.
% 46.68/15.92  																																						|-Branch one:
% 46.68/15.92  																																						| (824) all_0_80_80 = e1
% 46.68/15.92  																																						|
% 46.68/15.92  																																							| Equations (824) can reduce 828 to:
% 46.68/15.92  																																							| (311) $false
% 46.68/15.92  																																							|
% 46.68/15.92  																																							|-The branch is then unsatisfiable
% 46.68/15.92  																																						|-Branch two:
% 46.68/15.92  																																						| (828)  ~ (all_0_80_80 = e1)
% 46.68/15.92  																																						| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.68/15.92  																																						|
% 46.68/15.92  																																							+-Applying beta-rule and splitting (4018), into two cases.
% 46.68/15.92  																																							|-Branch one:
% 46.68/15.92  																																							| (416) all_0_80_80 = e3
% 46.68/15.92  																																							|
% 46.68/15.92  																																								| Equations (416) can reduce 144 to:
% 46.68/15.92  																																								| (419)  ~ (all_0_81_81 = e3)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Simplifying 419 yields:
% 46.68/15.92  																																								| (420)  ~ (all_0_81_81 = e3)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Equations (416) can reduce 49 to:
% 46.68/15.92  																																								| (425)  ~ (all_0_92_92 = e3)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Simplifying 425 yields:
% 46.68/15.92  																																								| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Equations (416) can reduce 394 to:
% 46.68/15.92  																																								| (169)  ~ (e3 = e2)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Equations (416) can reduce 828 to:
% 46.68/15.92  																																								| (20)  ~ (e3 = e1)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								| Equations (416) can reduce 166 to:
% 46.68/15.92  																																								| (50)  ~ (e3 = e0)
% 46.68/15.92  																																								|
% 46.68/15.92  																																								+-Applying beta-rule and splitting (250), into two cases.
% 46.68/15.92  																																								|-Branch one:
% 46.68/15.92  																																								| (635) all_0_81_81 = e3
% 46.68/15.92  																																								|
% 46.68/15.92  																																									| Equations (635) can reduce 420 to:
% 46.68/15.92  																																									| (311) $false
% 46.68/15.92  																																									|
% 46.68/15.92  																																									|-The branch is then unsatisfiable
% 46.68/15.92  																																								|-Branch two:
% 46.68/15.92  																																								| (420)  ~ (all_0_81_81 = e3)
% 46.68/15.92  																																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.68/15.92  																																								|
% 46.68/15.92  																																									+-Applying beta-rule and splitting (282), into two cases.
% 46.68/15.92  																																									|-Branch one:
% 46.68/15.92  																																									| (754) all_0_90_90 = e3
% 46.68/15.92  																																									|
% 46.68/15.92  																																										| Equations (754) can reduce 745 to:
% 46.68/15.92  																																										| (311) $false
% 46.68/15.92  																																										|
% 46.68/15.92  																																										|-The branch is then unsatisfiable
% 46.68/15.92  																																									|-Branch two:
% 46.68/15.92  																																									| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.92  																																									| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.68/15.92  																																									|
% 46.68/15.92  																																										+-Applying beta-rule and splitting (849), into two cases.
% 46.68/15.92  																																										|-Branch one:
% 46.68/15.92  																																										| (588) all_0_91_91 = e3
% 46.68/15.92  																																										|
% 46.68/15.92  																																											| Equations (588) can reduce 265 to:
% 46.68/15.92  																																											| (425)  ~ (all_0_92_92 = e3)
% 46.68/15.92  																																											|
% 46.68/15.92  																																											| Simplifying 425 yields:
% 46.68/15.92  																																											| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.92  																																											|
% 46.68/15.92  																																											| Equations (588) can reduce 296 to:
% 46.68/15.92  																																											| (169)  ~ (e3 = e2)
% 46.68/15.92  																																											|
% 46.68/15.92  																																											| Equations (588) can reduce 959 to:
% 46.68/15.92  																																											| (20)  ~ (e3 = e1)
% 46.68/15.92  																																											|
% 46.68/15.92  																																											+-Applying beta-rule and splitting (1455), into two cases.
% 46.68/15.92  																																											|-Branch one:
% 46.68/15.92  																																											| (1456) all_0_91_91 = e0
% 46.68/15.92  																																											|
% 46.68/15.92  																																												| Combining equations (588,1456) yields a new equation:
% 46.68/15.92  																																												| (599) e3 = e0
% 46.68/15.92  																																												|
% 46.68/15.92  																																												| Simplifying 599 yields:
% 46.68/15.92  																																												| (600) e3 = e0
% 46.68/15.92  																																												|
% 46.68/15.92  																																												| Equations (600) can reduce 50 to:
% 46.68/15.92  																																												| (311) $false
% 46.68/15.92  																																												|
% 46.68/15.92  																																												|-The branch is then unsatisfiable
% 46.68/15.92  																																											|-Branch two:
% 46.68/15.92  																																											| (1487)  ~ (all_0_91_91 = e0)
% 46.68/15.92  																																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.68/15.92  																																											|
% 46.68/15.92  																																												+-Applying beta-rule and splitting (84), into two cases.
% 46.68/15.92  																																												|-Branch one:
% 46.68/15.92  																																												| (1704) all_0_96_96 = e2
% 46.68/15.92  																																												|
% 46.68/15.92  																																													| Equations (1704) can reduce 1638 to:
% 46.68/15.92  																																													| (311) $false
% 46.68/15.92  																																													|
% 46.68/15.92  																																													|-The branch is then unsatisfiable
% 46.68/15.92  																																												|-Branch two:
% 46.68/15.92  																																												| (1638)  ~ (all_0_96_96 = e2)
% 46.68/15.92  																																												| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.68/15.92  																																												|
% 46.68/15.92  																																													+-Applying beta-rule and splitting (1488), into two cases.
% 46.68/15.92  																																													|-Branch one:
% 46.68/15.92  																																													| (942) all_0_92_92 = e0
% 46.68/15.92  																																													|
% 46.68/15.92  																																														| Equations (942) can reduce 426 to:
% 46.68/15.92  																																														| (906)  ~ (e3 = e0)
% 46.68/15.92  																																														|
% 46.68/15.92  																																														| Simplifying 906 yields:
% 46.68/15.92  																																														| (50)  ~ (e3 = e0)
% 46.68/15.92  																																														|
% 46.68/15.92  																																														+-Applying beta-rule and splitting (132), into two cases.
% 46.68/15.92  																																														|-Branch one:
% 46.68/15.92  																																														| (750) all_0_90_90 = e1
% 46.68/15.92  																																														|
% 46.68/15.92  																																															| Equations (750) can reduce 229 to:
% 46.68/15.92  																																															| (679)  ~ (all_0_95_95 = e1)
% 46.68/15.92  																																															|
% 46.68/15.92  																																															| Simplifying 679 yields:
% 46.68/15.92  																																															| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.92  																																															|
% 46.68/15.92  																																															| Equations (750) can reduce 294 to:
% 46.68/15.92  																																															| (487)  ~ (e2 = e1)
% 46.68/15.92  																																															|
% 46.68/15.92  																																															| Simplifying 487 yields:
% 46.68/15.92  																																															| (243)  ~ (e2 = e1)
% 46.68/15.92  																																															|
% 46.68/15.92  																																															+-Applying beta-rule and splitting (176), into two cases.
% 46.68/15.92  																																															|-Branch one:
% 46.68/15.92  																																															| (785) all_0_95_95 = e1
% 46.68/15.92  																																															|
% 46.68/15.92  																																																| Equations (785) can reduce 680 to:
% 46.68/15.92  																																																| (311) $false
% 46.68/15.92  																																																|
% 46.68/15.92  																																																|-The branch is then unsatisfiable
% 46.68/15.92  																																															|-Branch two:
% 46.68/15.92  																																															| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.92  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.68/15.92  																																															|
% 46.68/15.92  																																																+-Applying beta-rule and splitting (1707), into two cases.
% 46.68/15.92  																																																|-Branch one:
% 46.68/15.92  																																																| (960) all_0_96_96 = e1
% 46.68/15.92  																																																|
% 46.68/15.92  																																																	| Equations (960) can reduce 1479 to:
% 46.68/15.92  																																																	| (311) $false
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																	|-The branch is then unsatisfiable
% 46.68/15.92  																																																|-Branch two:
% 46.68/15.92  																																																| (1479)  ~ (all_0_96_96 = e1)
% 46.68/15.92  																																																| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.68/15.92  																																																|
% 46.68/15.92  																																																	+-Applying beta-rule and splitting (4488), into two cases.
% 46.68/15.92  																																																	|-Branch one:
% 46.68/15.92  																																																	| (804) all_0_85_85 = e3
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																		| Combining equations (954,804) yields a new equation:
% 46.68/15.92  																																																		| (600) e3 = e0
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		| Equations (600) can reduce 50 to:
% 46.68/15.92  																																																		| (311) $false
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		|-The branch is then unsatisfiable
% 46.68/15.92  																																																	|-Branch two:
% 46.68/15.92  																																																	| (952)  ~ (all_0_85_85 = e3)
% 46.68/15.92  																																																	| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																		+-Applying beta-rule and splitting (829), into two cases.
% 46.68/15.92  																																																		|-Branch one:
% 46.68/15.92  																																																		| (482) all_0_87_87 = e1
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																			| Combining equations (482,374) yields a new equation:
% 46.68/15.92  																																																			| (385) e2 = e1
% 46.68/15.92  																																																			|
% 46.68/15.92  																																																			| Equations (385) can reduce 243 to:
% 46.68/15.92  																																																			| (311) $false
% 46.68/15.92  																																																			|
% 46.68/15.92  																																																			|-The branch is then unsatisfiable
% 46.68/15.92  																																																		|-Branch two:
% 46.68/15.92  																																																		| (625)  ~ (all_0_87_87 = e1)
% 46.68/15.92  																																																		| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																			+-Applying beta-rule and splitting (4559), into two cases.
% 46.68/15.92  																																																			|-Branch one:
% 46.68/15.92  																																																			| (570) all_0_93_93 = e3
% 46.68/15.92  																																																			|
% 46.68/15.92  																																																				| Combining equations (522,570) yields a new equation:
% 46.68/15.92  																																																				| (548) e3 = e2
% 46.68/15.92  																																																				|
% 46.68/15.92  																																																				| Equations (548) can reduce 169 to:
% 46.68/15.92  																																																				| (311) $false
% 46.68/15.92  																																																				|
% 46.68/15.92  																																																				|-The branch is then unsatisfiable
% 46.68/15.92  																																																			|-Branch two:
% 46.68/15.92  																																																			| (602)  ~ (all_0_93_93 = e3)
% 46.68/15.92  																																																			| (969) all_0_98_98 = e3
% 46.68/15.92  																																																			|
% 46.68/15.92  																																																				| Equations (969) can reduce 2059 to:
% 46.68/15.92  																																																				| (50)  ~ (e3 = e0)
% 46.68/15.92  																																																				|
% 46.68/15.92  																																																				+-Applying beta-rule and splitting (112), into two cases.
% 46.68/15.92  																																																				|-Branch one:
% 46.68/15.92  																																																				| (538) all_0_97_97 = e2
% 46.68/15.92  																																																				|
% 46.68/15.92  																																																					| Equations (538) can reduce 527 to:
% 46.68/15.92  																																																					| (311) $false
% 46.68/15.92  																																																					|
% 46.68/15.92  																																																					|-The branch is then unsatisfiable
% 46.68/15.92  																																																				|-Branch two:
% 46.68/15.92  																																																				| (527)  ~ (all_0_97_97 = e2)
% 46.68/15.92  																																																				| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.68/15.92  																																																				|
% 46.68/15.92  																																																					+-Applying beta-rule and splitting (1400), into two cases.
% 46.68/15.92  																																																					|-Branch one:
% 46.68/15.92  																																																					| (1456) all_0_91_91 = e0
% 46.68/15.92  																																																					|
% 46.68/15.92  																																																						| Combining equations (588,1456) yields a new equation:
% 46.68/15.92  																																																						| (599) e3 = e0
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| Simplifying 599 yields:
% 46.68/15.92  																																																						| (600) e3 = e0
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| Equations (600) can reduce 50 to:
% 46.68/15.92  																																																						| (311) $false
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						|-The branch is then unsatisfiable
% 46.68/15.92  																																																					|-Branch two:
% 46.68/15.92  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 46.68/15.92  																																																					| (1837) all_0_96_96 = e0
% 46.68/15.92  																																																					|
% 46.68/15.92  																																																						| Equations (1837) can reduce 22 to:
% 46.68/15.92  																																																						| (938)  ~ (all_0_97_97 = e0)
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| Simplifying 938 yields:
% 46.68/15.92  																																																						| (609)  ~ (all_0_97_97 = e0)
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| Equations (1837) can reduce 1479 to:
% 46.68/15.92  																																																						| (859)  ~ (e1 = e0)
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| Simplifying 859 yields:
% 46.68/15.92  																																																						| (264)  ~ (e1 = e0)
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						| From (1837) and (4960) follows:
% 46.68/15.92  																																																						| (2170) op(e2, e0) = e0
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																						+-Applying beta-rule and splitting (541), into two cases.
% 46.68/15.92  																																																						|-Branch one:
% 46.68/15.92  																																																						| (542) all_0_97_97 = e1
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																							| Equations (542) can reduce 609 to:
% 46.68/15.92  																																																							| (264)  ~ (e1 = e0)
% 46.68/15.92  																																																							|
% 46.68/15.92  																																																							| Instantiating formula (262) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 46.68/15.92  																																																							| (865) e1 = e0
% 46.68/15.92  																																																							|
% 46.68/15.92  																																																							| Equations (865) can reduce 264 to:
% 46.68/15.92  																																																							| (311) $false
% 46.68/15.92  																																																							|
% 46.68/15.92  																																																							|-The branch is then unsatisfiable
% 46.68/15.92  																																																						|-Branch two:
% 46.68/15.92  																																																						| (486)  ~ (all_0_97_97 = e1)
% 46.68/15.92  																																																						| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 46.68/15.92  																																																						|
% 46.68/15.92  																																																							+-Applying beta-rule and splitting (788), into two cases.
% 46.68/15.92  																																																							|-Branch one:
% 46.68/15.92  																																																							| (960) all_0_96_96 = e1
% 46.68/15.92  																																																							|
% 46.68/15.92  																																																								| Combining equations (1837,960) yields a new equation:
% 46.68/15.92  																																																								| (865) e1 = e0
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																								| Equations (865) can reduce 264 to:
% 46.68/15.92  																																																								| (311) $false
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																								|-The branch is then unsatisfiable
% 46.68/15.92  																																																							|-Branch two:
% 46.68/15.92  																																																							| (1479)  ~ (all_0_96_96 = e1)
% 46.68/15.92  																																																							| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.68/15.92  																																																							|
% 46.68/15.92  																																																								| Equations (1837) can reduce 1479 to:
% 46.68/15.92  																																																								| (859)  ~ (e1 = e0)
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																								| Simplifying 859 yields:
% 46.68/15.92  																																																								| (264)  ~ (e1 = e0)
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																								+-Applying beta-rule and splitting (835), into two cases.
% 46.68/15.92  																																																								|-Branch one:
% 46.68/15.92  																																																								| (836) all_0_92_92 = e1
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																									| Combining equations (836,942) yields a new equation:
% 46.68/15.92  																																																									| (1107) e1 = e0
% 46.68/15.92  																																																									|
% 46.68/15.92  																																																									| Simplifying 1107 yields:
% 46.68/15.92  																																																									| (865) e1 = e0
% 46.68/15.92  																																																									|
% 46.68/15.92  																																																									| Equations (865) can reduce 264 to:
% 46.68/15.92  																																																									| (311) $false
% 46.68/15.92  																																																									|
% 46.68/15.92  																																																									|-The branch is then unsatisfiable
% 46.68/15.92  																																																								|-Branch two:
% 46.68/15.92  																																																								| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.92  																																																								| (542) all_0_97_97 = e1
% 46.68/15.92  																																																								|
% 46.68/15.92  																																																									| Equations (542) can reduce 486 to:
% 46.68/15.92  																																																									| (311) $false
% 46.68/15.92  																																																									|
% 46.68/15.92  																																																									|-The branch is then unsatisfiable
% 46.68/15.92  																																														|-Branch two:
% 46.68/15.92  																																														| (678)  ~ (all_0_90_90 = e1)
% 46.68/15.92  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.68/15.92  																																														|
% 46.68/15.92  																																															+-Applying beta-rule and splitting (188), into two cases.
% 46.68/15.92  																																															|-Branch one:
% 46.68/15.92  																																															| (676) all_0_78_78 = e1
% 46.68/15.92  																																															|
% 46.68/15.92  																																																| Combining equations (400,676) yields a new equation:
% 46.68/15.92  																																																| (408) e2 = e1
% 46.68/15.92  																																																|
% 46.68/15.92  																																																| Simplifying 408 yields:
% 46.68/15.92  																																																| (385) e2 = e1
% 46.68/15.92  																																																|
% 46.68/15.92  																																																| Equations (385) can reduce 243 to:
% 46.68/15.92  																																																| (311) $false
% 46.68/15.92  																																																|
% 46.68/15.92  																																																|-The branch is then unsatisfiable
% 46.68/15.92  																																															|-Branch two:
% 46.68/15.92  																																															| (1601)  ~ (all_0_78_78 = e1)
% 46.68/15.92  																																															| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.68/15.92  																																															|
% 46.68/15.92  																																																| Equations (400) can reduce 1601 to:
% 46.68/15.92  																																																| (243)  ~ (e2 = e1)
% 46.68/15.92  																																																|
% 46.68/15.92  																																																+-Applying beta-rule and splitting (1526), into two cases.
% 46.68/15.92  																																																|-Branch one:
% 46.68/15.92  																																																| (801) all_0_91_91 = e1
% 46.68/15.92  																																																|
% 46.68/15.92  																																																	| Combining equations (588,801) yields a new equation:
% 46.68/15.92  																																																	| (825) e3 = e1
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																	| Simplifying 825 yields:
% 46.68/15.92  																																																	| (772) e3 = e1
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																	| Equations (772) can reduce 20 to:
% 46.68/15.92  																																																	| (311) $false
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																	|-The branch is then unsatisfiable
% 46.68/15.92  																																																|-Branch two:
% 46.68/15.92  																																																| (959)  ~ (all_0_91_91 = e1)
% 46.68/15.92  																																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.68/15.92  																																																|
% 46.68/15.92  																																																	+-Applying beta-rule and splitting (1556), into two cases.
% 46.68/15.92  																																																	|-Branch one:
% 46.68/15.92  																																																	| (836) all_0_92_92 = e1
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																		| Combining equations (836,942) yields a new equation:
% 46.68/15.92  																																																		| (1107) e1 = e0
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		| Simplifying 1107 yields:
% 46.68/15.92  																																																		| (865) e1 = e0
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		| Equations (865) can reduce 264 to:
% 46.68/15.92  																																																		| (311) $false
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		|-The branch is then unsatisfiable
% 46.68/15.92  																																																	|-Branch two:
% 46.68/15.92  																																																	| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.92  																																																	| (566) all_0_93_93 = e1
% 46.68/15.92  																																																	|
% 46.68/15.92  																																																		| Combining equations (522,566) yields a new equation:
% 46.68/15.92  																																																		| (408) e2 = e1
% 46.68/15.92  																																																		|
% 46.68/15.92  																																																		| Simplifying 408 yields:
% 46.68/15.92  																																																		| (385) e2 = e1
% 46.68/15.92  																																																		|
% 46.68/15.93  																																																		| Equations (385) can reduce 243 to:
% 46.68/15.93  																																																		| (311) $false
% 46.68/15.93  																																																		|
% 46.68/15.93  																																																		|-The branch is then unsatisfiable
% 46.68/15.93  																																													|-Branch two:
% 46.68/15.93  																																													| (946)  ~ (all_0_92_92 = e0)
% 46.68/15.93  																																													| (604) all_0_93_93 = e0
% 46.68/15.93  																																													|
% 46.68/15.93  																																														| Combining equations (522,604) yields a new equation:
% 46.68/15.93  																																														| (923) e2 = e0
% 46.68/15.93  																																														|
% 46.68/15.93  																																														| Simplifying 923 yields:
% 46.68/15.93  																																														| (379) e2 = e0
% 46.68/15.93  																																														|
% 46.68/15.93  																																														| Equations (379) can reduce 76 to:
% 46.68/15.93  																																														| (311) $false
% 46.68/15.93  																																														|
% 46.68/15.93  																																														|-The branch is then unsatisfiable
% 46.68/15.93  																																										|-Branch two:
% 46.68/15.93  																																										| (571)  ~ (all_0_91_91 = e3)
% 46.68/15.93  																																										| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.68/15.93  																																										|
% 46.68/15.93  																																											+-Applying beta-rule and splitting (285), into two cases.
% 46.68/15.93  																																											|-Branch one:
% 46.68/15.93  																																											| (1708) all_0_79_79 = e3
% 46.68/15.93  																																											|
% 46.68/15.93  																																												| Combining equations (1708,457) yields a new equation:
% 46.68/15.93  																																												| (825) e3 = e1
% 46.68/15.93  																																												|
% 46.68/15.93  																																												| Simplifying 825 yields:
% 46.68/15.93  																																												| (772) e3 = e1
% 46.68/15.93  																																												|
% 46.68/15.93  																																												| Equations (772) can reduce 20 to:
% 46.68/15.93  																																												| (311) $false
% 46.68/15.93  																																												|
% 46.68/15.93  																																												|-The branch is then unsatisfiable
% 46.68/15.93  																																											|-Branch two:
% 46.68/15.93  																																											| (1711)  ~ (all_0_79_79 = e3)
% 46.68/15.93  																																											| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 46.68/15.93  																																											|
% 46.68/15.93  																																												+-Applying beta-rule and splitting (1712), into two cases.
% 46.68/15.93  																																												|-Branch one:
% 46.68/15.93  																																												| (795) all_0_83_83 = e3
% 46.68/15.93  																																												|
% 46.68/15.93  																																													| Combining equations (453,795) yields a new equation:
% 46.68/15.93  																																													| (548) e3 = e2
% 46.68/15.93  																																													|
% 46.68/15.93  																																													| Equations (548) can reduce 169 to:
% 46.68/15.93  																																													| (311) $false
% 46.68/15.93  																																													|
% 46.68/15.93  																																													|-The branch is then unsatisfiable
% 46.68/15.93  																																												|-Branch two:
% 46.68/15.93  																																												| (779)  ~ (all_0_83_83 = e3)
% 46.68/15.93  																																												| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 46.68/15.93  																																												|
% 46.68/15.93  																																													| Equations (453) can reduce 779 to:
% 46.68/15.93  																																													| (356)  ~ (e3 = e2)
% 46.68/15.93  																																													|
% 46.68/15.93  																																													| Simplifying 356 yields:
% 46.68/15.93  																																													| (169)  ~ (e3 = e2)
% 46.68/15.93  																																													|
% 46.68/15.93  																																													+-Applying beta-rule and splitting (881), into two cases.
% 46.68/15.93  																																													|-Branch one:
% 46.68/15.93  																																													| (882) all_0_92_92 = e3
% 46.68/15.93  																																													|
% 46.68/15.93  																																														| Equations (882) can reduce 426 to:
% 46.68/15.93  																																														| (311) $false
% 46.68/15.93  																																														|
% 46.68/15.93  																																														|-The branch is then unsatisfiable
% 46.68/15.93  																																													|-Branch two:
% 46.68/15.93  																																													| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.93  																																													| (570) all_0_93_93 = e3
% 46.68/15.93  																																													|
% 46.68/15.93  																																														| Combining equations (522,570) yields a new equation:
% 46.68/15.93  																																														| (548) e3 = e2
% 46.68/15.93  																																														|
% 46.68/15.93  																																														| Equations (548) can reduce 169 to:
% 46.68/15.93  																																														| (311) $false
% 46.68/15.93  																																														|
% 46.68/15.93  																																														|-The branch is then unsatisfiable
% 46.68/15.93  																																							|-Branch two:
% 46.68/15.93  																																							| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.93  																																							| (433) all_0_80_80 = e4
% 46.68/15.93  																																							|
% 46.68/15.93  																																								| Equations (433) can reduce 436 to:
% 46.68/15.93  																																								| (311) $false
% 46.68/15.93  																																								|
% 46.68/15.93  																																								|-The branch is then unsatisfiable
% 46.68/15.93  																																	|-Branch two:
% 46.68/15.93  																																	| (793)  ~ (all_0_82_82 = e3)
% 46.68/15.93  																																	| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.68/15.93  																																	|
% 46.68/15.93  																																		+-Applying beta-rule and splitting (2706), into two cases.
% 46.68/15.93  																																		|-Branch one:
% 46.68/15.93  																																		| (910) all_0_82_82 = e0
% 46.68/15.93  																																		|
% 46.68/15.93  																																			| Equations (910) can reduce 914 to:
% 46.68/15.93  																																			| (311) $false
% 46.68/15.93  																																			|
% 46.68/15.93  																																			|-The branch is then unsatisfiable
% 46.68/15.93  																																		|-Branch two:
% 46.68/15.93  																																		| (914)  ~ (all_0_82_82 = e0)
% 46.68/15.93  																																		| (469) all_0_82_82 = e4
% 46.68/15.93  																																		|
% 46.68/15.93  																																			| Equations (469) can reduce 465 to:
% 46.68/15.93  																																			| (311) $false
% 46.68/15.93  																																			|
% 46.68/15.93  																																			|-The branch is then unsatisfiable
% 46.68/15.93  																															|-Branch two:
% 46.68/15.93  																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.68/15.93  																															|
% 46.68/15.93  																																| Applying alpha-rule on (1379) yields:
% 46.68/15.93  																																| (1380) all_0_71_71 = e3
% 46.68/15.93  																																| (1381)  ~ (all_0_72_72 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																| Equations (10076) can reduce 1381 to:
% 46.68/15.93  																																| (311) $false
% 46.68/15.93  																																|
% 46.68/15.93  																																|-The branch is then unsatisfiable
% 46.68/15.93  																														|-Branch two:
% 46.68/15.93  																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.68/15.93  																														|
% 46.68/15.93  																															| Applying alpha-rule on (1385) yields:
% 46.68/15.93  																															| (1386) all_0_73_73 = e2
% 46.68/15.93  																															| (1387)  ~ (all_0_74_74 = e0)
% 46.68/15.93  																															|
% 46.68/15.93  																															| Combining equations (8321,1386) yields a new equation:
% 46.68/15.93  																															| (10159) all_0_97_97 = e2
% 46.68/15.93  																															|
% 46.68/15.93  																															| Simplifying 10159 yields:
% 46.68/15.93  																															| (538) all_0_97_97 = e2
% 46.68/15.93  																															|
% 46.68/15.93  																															| Equations (538) can reduce 527 to:
% 46.68/15.93  																															| (311) $false
% 46.68/15.93  																															|
% 46.68/15.93  																															|-The branch is then unsatisfiable
% 46.68/15.93  																													|-Branch two:
% 46.68/15.93  																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.68/15.93  																													|
% 46.68/15.93  																														| Applying alpha-rule on (1391) yields:
% 46.68/15.93  																														| (1392) all_0_75_75 = e1
% 46.68/15.93  																														| (1393)  ~ (all_0_76_76 = e0)
% 46.68/15.93  																														|
% 46.68/15.93  																														| Combining equations (31273,1392) yields a new equation:
% 46.68/15.93  																														| (34301) all_0_96_96 = e1
% 46.68/15.93  																														|
% 46.68/15.93  																														| Simplifying 34301 yields:
% 46.68/15.93  																														| (960) all_0_96_96 = e1
% 46.68/15.93  																														|
% 46.68/15.93  																														| Equations (960) can reduce 1479 to:
% 46.68/15.93  																														| (311) $false
% 46.68/15.93  																														|
% 46.68/15.93  																														|-The branch is then unsatisfiable
% 46.68/15.93  																												|-Branch two:
% 46.68/15.93  																												| (800)  ~ (all_0_85_85 = e0)
% 46.68/15.93  																												| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.68/15.93  																												|
% 46.68/15.93  																													+-Applying beta-rule and splitting (249), into two cases.
% 46.68/15.93  																													|-Branch one:
% 46.68/15.93  																													| (910) all_0_82_82 = e0
% 46.68/15.93  																													|
% 46.68/15.93  																														| Equations (910) can reduce 914 to:
% 46.68/15.93  																														| (311) $false
% 46.68/15.93  																														|
% 46.68/15.93  																														|-The branch is then unsatisfiable
% 46.68/15.93  																													|-Branch two:
% 46.68/15.93  																													| (914)  ~ (all_0_82_82 = e0)
% 46.68/15.93  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.68/15.93  																													|
% 46.68/15.93  																														+-Applying beta-rule and splitting (1077), into two cases.
% 46.68/15.93  																														|-Branch one:
% 46.68/15.93  																														| (507) all_0_88_88 = e0
% 46.68/15.93  																														|
% 46.68/15.93  																															| Combining equations (504,507) yields a new equation:
% 46.68/15.93  																															| (1107) e1 = e0
% 46.68/15.93  																															|
% 46.68/15.93  																															| Simplifying 1107 yields:
% 46.68/15.93  																															| (865) e1 = e0
% 46.68/15.93  																															|
% 46.68/15.93  																															| Equations (865) can reduce 264 to:
% 46.68/15.93  																															| (311) $false
% 46.68/15.93  																															|
% 46.68/15.93  																															|-The branch is then unsatisfiable
% 46.68/15.93  																														|-Branch two:
% 46.68/15.93  																														| (1110)  ~ (all_0_88_88 = e0)
% 46.68/15.93  																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.68/15.93  																														|
% 46.68/15.93  																															+-Applying beta-rule and splitting (1111), into two cases.
% 46.68/15.93  																															|-Branch one:
% 46.68/15.93  																															| (604) all_0_93_93 = e0
% 46.68/15.93  																															|
% 46.68/15.93  																																| Combining equations (522,604) yields a new equation:
% 46.68/15.93  																																| (923) e2 = e0
% 46.68/15.93  																																|
% 46.68/15.93  																																| Simplifying 923 yields:
% 46.68/15.93  																																| (379) e2 = e0
% 46.68/15.93  																																|
% 46.68/15.93  																																| Equations (379) can reduce 76 to:
% 46.68/15.93  																																| (311) $false
% 46.68/15.93  																																|
% 46.68/15.93  																																|-The branch is then unsatisfiable
% 46.68/15.93  																															|-Branch two:
% 46.68/15.93  																															| (509)  ~ (all_0_93_93 = e0)
% 46.68/15.93  																															| (1121) all_0_98_98 = e0
% 46.68/15.93  																															|
% 46.68/15.93  																																| Equations (1121) can reduce 5 to:
% 46.68/15.93  																																| (257)  ~ (all_0_81_81 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																| Equations (1121) can reduce 75 to:
% 46.68/15.93  																																| (800)  ~ (all_0_85_85 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																| Equations (1121) can reduce 107 to:
% 46.68/15.93  																																| (893)  ~ (all_0_95_95 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																| Equations (1121) can reduce 1349 to:
% 46.68/15.93  																																| (510)  ~ (e2 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																| Simplifying 510 yields:
% 46.68/15.93  																																| (76)  ~ (e2 = e0)
% 46.68/15.93  																																|
% 46.68/15.93  																																+-Applying beta-rule and splitting (1309), into two cases.
% 46.68/15.93  																																|-Branch one:
% 46.68/15.93  																																| (798) all_0_83_83 = e0
% 46.68/15.93  																																|
% 46.68/15.93  																																	| Combining equations (453,798) yields a new equation:
% 46.68/15.93  																																	| (923) e2 = e0
% 46.68/15.93  																																	|
% 46.68/15.93  																																	| Simplifying 923 yields:
% 46.68/15.93  																																	| (379) e2 = e0
% 46.68/15.93  																																	|
% 46.68/15.93  																																	| Equations (379) can reduce 76 to:
% 46.68/15.93  																																	| (311) $false
% 46.68/15.93  																																	|
% 46.68/15.93  																																	|-The branch is then unsatisfiable
% 46.68/15.93  																																|-Branch two:
% 46.68/15.93  																																| (1314)  ~ (all_0_83_83 = e0)
% 46.68/15.93  																																| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.68/15.93  																																|
% 46.68/15.93  																																	+-Applying beta-rule and splitting (84), into two cases.
% 46.68/15.93  																																	|-Branch one:
% 46.68/15.93  																																	| (1704) all_0_96_96 = e2
% 46.68/15.93  																																	|
% 46.68/15.93  																																		| Equations (1704) can reduce 1638 to:
% 46.68/15.93  																																		| (311) $false
% 46.68/15.93  																																		|
% 46.68/15.93  																																		|-The branch is then unsatisfiable
% 46.68/15.93  																																	|-Branch two:
% 46.68/15.93  																																	| (1638)  ~ (all_0_96_96 = e2)
% 46.68/15.93  																																	| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.68/15.93  																																	|
% 46.68/15.93  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 46.68/15.93  																																		|-Branch one:
% 46.68/15.93  																																		| (916) all_0_84_84 = e0
% 46.68/15.93  																																		|
% 46.68/15.93  																																			| Equations (916) can reduce 7 to:
% 46.68/15.93  																																			| (914)  ~ (all_0_82_82 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Equations (916) can reduce 154 to:
% 46.68/15.93  																																			| (799)  ~ (all_0_85_85 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Simplifying 799 yields:
% 46.68/15.93  																																			| (800)  ~ (all_0_85_85 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Equations (916) can reduce 87 to:
% 46.68/15.93  																																			| (2299)  ~ (all_0_92_92 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Simplifying 2299 yields:
% 46.68/15.93  																																			| (946)  ~ (all_0_92_92 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Equations (916) can reduce 195 to:
% 46.68/15.93  																																			| (938)  ~ (all_0_97_97 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Simplifying 938 yields:
% 46.68/15.93  																																			| (609)  ~ (all_0_97_97 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Equations (916) can reduce 612 to:
% 46.68/15.93  																																			| (510)  ~ (e2 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| Simplifying 510 yields:
% 46.68/15.93  																																			| (76)  ~ (e2 = e0)
% 46.68/15.93  																																			|
% 46.68/15.93  																																			| From (916) and (232) follows:
% 46.68/15.93  																																			| (12396) op(e3, e1) = e0
% 46.68/15.93  																																			|
% 46.68/15.93  																																			+-Applying beta-rule and splitting (1455), into two cases.
% 46.68/15.93  																																			|-Branch one:
% 46.68/15.93  																																			| (1456) all_0_91_91 = e0
% 46.68/15.93  																																			|
% 46.68/15.93  																																				| Equations (1456) can reduce 103 to:
% 46.68/15.93  																																				| (762)  ~ (all_0_90_90 = e0)
% 46.68/15.93  																																				|
% 46.68/15.93  																																				| Equations (1456) can reduce 64 to:
% 46.68/15.94  																																				| (2296)  ~ (all_0_96_96 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				| Simplifying 2296 yields:
% 46.68/15.94  																																				| (2095)  ~ (all_0_96_96 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				| Equations (1456) can reduce 133 to:
% 46.68/15.94  																																				| (904)  ~ (e4 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				| Simplifying 904 yields:
% 46.68/15.94  																																				| (23)  ~ (e4 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				| Equations (1456) can reduce 959 to:
% 46.68/15.94  																																				| (859)  ~ (e1 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				| Simplifying 859 yields:
% 46.68/15.94  																																				| (264)  ~ (e1 = e0)
% 46.68/15.94  																																				|
% 46.68/15.94  																																				+-Applying beta-rule and splitting (1707), into two cases.
% 46.68/15.94  																																				|-Branch one:
% 46.68/15.94  																																				| (960) all_0_96_96 = e1
% 46.68/15.94  																																				|
% 46.68/15.94  																																					| Equations (960) can reduce 1479 to:
% 46.68/15.94  																																					| (311) $false
% 46.68/15.94  																																					|
% 46.68/15.94  																																					|-The branch is then unsatisfiable
% 46.68/15.94  																																				|-Branch two:
% 46.68/15.94  																																				| (1479)  ~ (all_0_96_96 = e1)
% 46.68/15.94  																																				| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.68/15.94  																																				|
% 46.68/15.94  																																					+-Applying beta-rule and splitting (2016), into two cases.
% 46.68/15.94  																																					|-Branch one:
% 46.68/15.94  																																					| (778) all_0_96_96 = e3
% 46.68/15.94  																																					|
% 46.68/15.94  																																						| Equations (778) can reduce 279 to:
% 46.68/15.94  																																						| (765)  ~ (all_0_95_95 = e3)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Equations (778) can reduce 22 to:
% 46.68/15.94  																																						| (427)  ~ (all_0_97_97 = e3)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Simplifying 427 yields:
% 46.68/15.94  																																						| (428)  ~ (all_0_97_97 = e3)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Equations (778) can reduce 115 to:
% 46.68/15.94  																																						| (783)  ~ (e4 = e3)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Simplifying 783 yields:
% 46.68/15.94  																																						| (177)  ~ (e4 = e3)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Equations (778) can reduce 1638 to:
% 46.68/15.94  																																						| (169)  ~ (e3 = e2)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Equations (778) can reduce 1479 to:
% 46.68/15.94  																																						| (20)  ~ (e3 = e1)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| From (778) and (268) follows:
% 46.68/15.94  																																						| (10600) op(e0, e3) = all_0_59_59
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Instantiating formula (262) with e0, e3, all_0_59_59, all_0_95_95 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_95_95, yields:
% 46.68/15.94  																																						| (34753) all_0_59_59 = all_0_95_95
% 46.68/15.94  																																						|
% 46.68/15.94  																																						| Equations (34753) can reduce 4959 to:
% 46.68/15.94  																																						| (355)  ~ (all_0_95_95 = e2)
% 46.68/15.94  																																						|
% 46.68/15.94  																																						+-Applying beta-rule and splitting (109), into two cases.
% 46.68/15.94  																																						|-Branch one:
% 46.68/15.94  																																						| (469) all_0_82_82 = e4
% 46.68/15.94  																																						|
% 46.68/15.94  																																							| Equations (469) can reduce 209 to:
% 46.68/15.94  																																							| (647)  ~ (all_0_85_85 = e4)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| Simplifying 647 yields:
% 46.68/15.94  																																							| (648)  ~ (all_0_85_85 = e4)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| Equations (469) can reduce 255 to:
% 46.68/15.94  																																							| (466)  ~ (all_0_90_90 = e4)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| Simplifying 466 yields:
% 46.68/15.94  																																							| (467)  ~ (all_0_90_90 = e4)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| Equations (469) can reduce 347 to:
% 46.68/15.94  																																							| (79)  ~ (e4 = e2)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| Equations (469) can reduce 914 to:
% 46.68/15.94  																																							| (23)  ~ (e4 = e0)
% 46.68/15.94  																																							|
% 46.68/15.94  																																							| From (469) and (61) follows:
% 46.68/15.94  																																							| (671) op(e3, e3) = e4
% 46.68/15.94  																																							|
% 46.68/15.94  																																							+-Applying beta-rule and splitting (182), into two cases.
% 46.68/15.94  																																							|-Branch one:
% 46.68/15.94  																																							| (512) all_0_85_85 = e2
% 46.68/15.94  																																							|
% 46.68/15.94  																																								| Equations (512) can reduce 515 to:
% 46.68/15.94  																																								| (311) $false
% 46.68/15.94  																																								|
% 46.68/15.94  																																								|-The branch is then unsatisfiable
% 46.68/15.94  																																							|-Branch two:
% 46.68/15.94  																																							| (515)  ~ (all_0_85_85 = e2)
% 46.68/15.94  																																							| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.68/15.94  																																							|
% 46.68/15.94  																																								+-Applying beta-rule and splitting (220), into two cases.
% 46.68/15.94  																																								|-Branch one:
% 46.68/15.94  																																								| (771) all_0_78_78 = e3
% 46.68/15.94  																																								|
% 46.68/15.94  																																									| Combining equations (771,400) yields a new equation:
% 46.68/15.94  																																									| (547) e3 = e2
% 46.68/15.94  																																									|
% 46.68/15.94  																																									| Simplifying 547 yields:
% 46.68/15.94  																																									| (548) e3 = e2
% 46.68/15.94  																																									|
% 46.68/15.94  																																									| Equations (548) can reduce 169 to:
% 46.68/15.94  																																									| (311) $false
% 46.68/15.94  																																									|
% 46.68/15.94  																																									|-The branch is then unsatisfiable
% 46.68/15.94  																																								|-Branch two:
% 46.68/15.94  																																								| (418)  ~ (all_0_78_78 = e3)
% 46.68/15.94  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.68/15.94  																																								|
% 46.68/15.94  																																									+-Applying beta-rule and splitting (775), into two cases.
% 46.68/15.94  																																									|-Branch one:
% 46.68/15.94  																																									| (789) all_0_82_82 = e3
% 46.68/15.94  																																									|
% 46.68/15.94  																																										| Combining equations (469,789) yields a new equation:
% 46.68/15.94  																																										| (790) e4 = e3
% 46.68/15.94  																																										|
% 46.68/15.94  																																										| Simplifying 790 yields:
% 46.68/15.94  																																										| (434) e4 = e3
% 46.68/15.94  																																										|
% 46.68/15.94  																																										| Equations (434) can reduce 177 to:
% 46.68/15.94  																																										| (311) $false
% 46.68/15.94  																																										|
% 46.68/15.94  																																										|-The branch is then unsatisfiable
% 46.68/15.94  																																									|-Branch two:
% 46.68/15.94  																																									| (793)  ~ (all_0_82_82 = e3)
% 46.68/15.94  																																									| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.68/15.94  																																									|
% 46.68/15.94  																																										+-Applying beta-rule and splitting (794), into two cases.
% 46.68/15.94  																																										|-Branch one:
% 46.68/15.94  																																										| (754) all_0_90_90 = e3
% 46.68/15.94  																																										|
% 46.68/15.94  																																											| Equations (754) can reduce 72 to:
% 46.68/15.94  																																											| (425)  ~ (all_0_92_92 = e3)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| Simplifying 425 yields:
% 46.68/15.94  																																											| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| Equations (754) can reduce 467 to:
% 46.68/15.94  																																											| (783)  ~ (e4 = e3)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| Simplifying 783 yields:
% 46.68/15.94  																																											| (177)  ~ (e4 = e3)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| Equations (754) can reduce 294 to:
% 46.68/15.94  																																											| (169)  ~ (e3 = e2)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| Equations (754) can reduce 762 to:
% 46.68/15.94  																																											| (50)  ~ (e3 = e0)
% 46.68/15.94  																																											|
% 46.68/15.94  																																											| From (754) and (743) follows:
% 46.68/15.94  																																											| (831) op(e3, e3) = e1
% 46.68/15.94  																																											|
% 46.68/15.94  																																											+-Applying beta-rule and splitting (188), into two cases.
% 46.68/15.94  																																											|-Branch one:
% 46.68/15.94  																																											| (676) all_0_78_78 = e1
% 46.68/15.94  																																											|
% 46.68/15.94  																																												| Combining equations (676,400) yields a new equation:
% 46.68/15.94  																																												| (385) e2 = e1
% 46.68/15.94  																																												|
% 46.68/15.94  																																												| Equations (385) can reduce 243 to:
% 46.68/15.94  																																												| (311) $false
% 46.68/15.94  																																												|
% 46.68/15.94  																																												|-The branch is then unsatisfiable
% 46.68/15.94  																																											|-Branch two:
% 46.68/15.94  																																											| (1601)  ~ (all_0_78_78 = e1)
% 46.68/15.94  																																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.68/15.94  																																											|
% 46.68/15.94  																																												+-Applying beta-rule and splitting (1718), into two cases.
% 46.68/15.94  																																												|-Branch one:
% 46.68/15.94  																																												| (384) all_0_86_86 = e1
% 46.68/15.94  																																												|
% 46.68/15.94  																																													| Combining equations (378,384) yields a new equation:
% 46.68/15.94  																																													| (865) e1 = e0
% 46.68/15.94  																																													|
% 46.68/15.94  																																													| Equations (865) can reduce 264 to:
% 46.68/15.94  																																													| (311) $false
% 46.68/15.94  																																													|
% 46.68/15.94  																																													|-The branch is then unsatisfiable
% 46.68/15.94  																																												|-Branch two:
% 46.68/15.94  																																												| (387)  ~ (all_0_86_86 = e1)
% 46.68/15.94  																																												| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.68/15.94  																																												|
% 46.68/15.94  																																													+-Applying beta-rule and splitting (2122), into two cases.
% 46.68/15.94  																																													|-Branch one:
% 46.68/15.94  																																													| (750) all_0_90_90 = e1
% 46.68/15.94  																																													|
% 46.68/15.94  																																														| Combining equations (750,754) yields a new equation:
% 46.68/15.94  																																														| (772) e3 = e1
% 46.68/15.94  																																														|
% 46.68/15.94  																																														| Equations (772) can reduce 20 to:
% 46.68/15.94  																																														| (311) $false
% 46.68/15.94  																																														|
% 46.68/15.94  																																														|-The branch is then unsatisfiable
% 46.68/15.94  																																													|-Branch two:
% 46.68/15.94  																																													| (678)  ~ (all_0_90_90 = e1)
% 46.68/15.94  																																													| (785) all_0_95_95 = e1
% 46.68/15.94  																																													|
% 46.68/15.94  																																														| Equations (785) can reduce 105 to:
% 46.68/15.94  																																														| (485)  ~ (all_0_97_97 = e1)
% 46.68/15.94  																																														|
% 46.68/15.94  																																														| Simplifying 485 yields:
% 46.68/15.94  																																														| (486)  ~ (all_0_97_97 = e1)
% 46.68/15.94  																																														|
% 46.68/15.94  																																														| Equations (785) can reduce 355 to:
% 46.68/15.94  																																														| (487)  ~ (e2 = e1)
% 46.68/15.94  																																														|
% 46.68/15.94  																																														| Simplifying 487 yields:
% 46.68/15.94  																																														| (243)  ~ (e2 = e1)
% 46.68/15.94  																																														|
% 46.68/15.94  																																														+-Applying beta-rule and splitting (171), into two cases.
% 46.68/15.94  																																														|-Branch one:
% 46.68/15.94  																																														| (789) all_0_82_82 = e3
% 46.68/15.94  																																														|
% 46.68/15.94  																																															| Combining equations (469,789) yields a new equation:
% 46.68/15.94  																																															| (790) e4 = e3
% 46.68/15.94  																																															|
% 46.68/15.94  																																															| Simplifying 790 yields:
% 46.68/15.94  																																															| (434) e4 = e3
% 46.68/15.94  																																															|
% 46.68/15.94  																																															| Equations (434) can reduce 177 to:
% 46.68/15.94  																																															| (311) $false
% 46.68/15.94  																																															|
% 46.68/15.94  																																															|-The branch is then unsatisfiable
% 46.68/15.94  																																														|-Branch two:
% 46.68/15.94  																																														| (793)  ~ (all_0_82_82 = e3)
% 46.68/15.94  																																														| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.68/15.94  																																														|
% 46.68/15.94  																																															+-Applying beta-rule and splitting (1296), into two cases.
% 46.68/15.94  																																															|-Branch one:
% 46.68/15.94  																																															| (795) all_0_83_83 = e3
% 46.68/15.94  																																															|
% 46.68/15.94  																																																| Combining equations (453,795) yields a new equation:
% 46.68/15.94  																																																| (548) e3 = e2
% 46.68/15.94  																																																|
% 46.68/15.94  																																																| Equations (548) can reduce 169 to:
% 46.68/15.94  																																																| (311) $false
% 46.68/15.94  																																																|
% 46.68/15.94  																																																|-The branch is then unsatisfiable
% 46.68/15.94  																																															|-Branch two:
% 46.68/15.94  																																															| (779)  ~ (all_0_83_83 = e3)
% 46.68/15.94  																																															| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.68/15.94  																																															|
% 46.68/15.94  																																																+-Applying beta-rule and splitting (1594), into two cases.
% 46.68/15.94  																																																|-Branch one:
% 46.68/15.94  																																																| (1265) all_0_84_84 = e3
% 46.68/15.94  																																																|
% 46.68/15.94  																																																	| Combining equations (916,1265) yields a new equation:
% 46.68/15.94  																																																	| (600) e3 = e0
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	| Equations (600) can reduce 50 to:
% 46.68/15.94  																																																	| (311) $false
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	|-The branch is then unsatisfiable
% 46.68/15.94  																																																|-Branch two:
% 46.68/15.94  																																																| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.94  																																																| (804) all_0_85_85 = e3
% 46.68/15.94  																																																|
% 46.68/15.94  																																																	| Equations (804) can reduce 648 to:
% 46.68/15.94  																																																	| (783)  ~ (e4 = e3)
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	| Simplifying 783 yields:
% 46.68/15.94  																																																	| (177)  ~ (e4 = e3)
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	| Equations (804) can reduce 515 to:
% 46.68/15.94  																																																	| (169)  ~ (e3 = e2)
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	| Equations (804) can reduce 800 to:
% 46.68/15.94  																																																	| (50)  ~ (e3 = e0)
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	| From (804) and (197) follows:
% 46.68/15.94  																																																	| (811) op(e3, e3) = all_0_72_72
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																	+-Applying beta-rule and splitting (106), into two cases.
% 46.68/15.94  																																																	|-Branch one:
% 46.68/15.94  																																																	| (771) all_0_78_78 = e3
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																		| Combining equations (771,400) yields a new equation:
% 46.68/15.94  																																																		| (547) e3 = e2
% 46.68/15.94  																																																		|
% 46.68/15.94  																																																		| Simplifying 547 yields:
% 46.68/15.94  																																																		| (548) e3 = e2
% 46.68/15.94  																																																		|
% 46.68/15.94  																																																		| Equations (548) can reduce 169 to:
% 46.68/15.94  																																																		| (311) $false
% 46.68/15.94  																																																		|
% 46.68/15.94  																																																		|-The branch is then unsatisfiable
% 46.68/15.94  																																																	|-Branch two:
% 46.68/15.94  																																																	| (418)  ~ (all_0_78_78 = e3)
% 46.68/15.94  																																																	| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.94  																																																	|
% 46.68/15.94  																																																		+-Applying beta-rule and splitting (207), into two cases.
% 46.68/15.94  																																																		|-Branch one:
% 46.68/15.94  																																																		| (416) all_0_80_80 = e3
% 46.68/15.94  																																																		|
% 46.68/15.94  																																																			| Equations (416) can reduce 144 to:
% 46.68/15.94  																																																			| (419)  ~ (all_0_81_81 = e3)
% 46.68/15.94  																																																			|
% 46.68/15.94  																																																			| Simplifying 419 yields:
% 46.68/15.94  																																																			| (420)  ~ (all_0_81_81 = e3)
% 46.68/15.94  																																																			|
% 46.68/15.94  																																																			+-Applying beta-rule and splitting (168), into two cases.
% 46.68/15.94  																																																			|-Branch one:
% 46.68/15.94  																																																			| (638) all_0_81_81 = e4
% 46.68/15.94  																																																			|
% 46.68/15.94  																																																				| Equations (638) can reduce 420 to:
% 46.68/15.94  																																																				| (177)  ~ (e4 = e3)
% 46.68/15.94  																																																				|
% 46.68/15.94  																																																				| Equations (638) can reduce 396 to:
% 46.68/15.94  																																																				| (79)  ~ (e4 = e2)
% 46.68/15.94  																																																				|
% 46.68/15.94  																																																				| Equations (638) can reduce 257 to:
% 46.68/15.94  																																																				| (23)  ~ (e4 = e0)
% 46.68/15.94  																																																				|
% 46.68/15.94  																																																				+-Applying beta-rule and splitting (829), into two cases.
% 46.68/15.94  																																																				|-Branch one:
% 46.68/15.94  																																																				| (482) all_0_87_87 = e1
% 46.68/15.94  																																																				|
% 46.68/15.94  																																																					| Combining equations (374,482) yields a new equation:
% 46.68/15.94  																																																					| (408) e2 = e1
% 46.68/15.94  																																																					|
% 46.68/15.94  																																																					| Simplifying 408 yields:
% 46.68/15.94  																																																					| (385) e2 = e1
% 46.68/15.94  																																																					|
% 46.68/15.94  																																																					| Equations (385) can reduce 243 to:
% 46.68/15.94  																																																					| (311) $false
% 46.68/15.94  																																																					|
% 46.68/15.94  																																																					|-The branch is then unsatisfiable
% 46.68/15.94  																																																				|-Branch two:
% 46.68/15.94  																																																				| (625)  ~ (all_0_87_87 = e1)
% 46.68/15.94  																																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.68/15.94  																																																				|
% 46.68/15.94  																																																					+-Applying beta-rule and splitting (140), into two cases.
% 46.68/15.94  																																																					|-Branch one:
% 46.68/15.94  																																																					| (313) all_0_94_94 = e4
% 46.68/15.94  																																																					|
% 46.68/15.94  																																																						| Combining equations (1757,313) yields a new equation:
% 46.68/15.94  																																																						| (310) e4 = e2
% 46.68/15.94  																																																						|
% 46.68/15.94  																																																						| Equations (310) can reduce 79 to:
% 46.68/15.94  																																																						| (311) $false
% 46.68/15.94  																																																						|
% 46.68/15.94  																																																						|-The branch is then unsatisfiable
% 46.68/15.94  																																																					|-Branch two:
% 46.68/15.94  																																																					| (34849)  ~ (all_0_94_94 = e4)
% 46.68/15.94  																																																					| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.68/15.94  																																																					|
% 46.68/15.94  																																																						+-Applying beta-rule and splitting (835), into two cases.
% 46.68/15.94  																																																						|-Branch one:
% 46.68/15.94  																																																						| (836) all_0_92_92 = e1
% 46.68/15.94  																																																						|
% 46.68/15.94  																																																							| Equations (836) can reduce 258 to:
% 46.68/15.94  																																																							| (485)  ~ (all_0_97_97 = e1)
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																							| Simplifying 485 yields:
% 46.68/15.94  																																																							| (486)  ~ (all_0_97_97 = e1)
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																							| Equations (836) can reduce 1619 to:
% 46.68/15.94  																																																							| (681)  ~ (e4 = e1)
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																							| Simplifying 681 yields:
% 46.68/15.94  																																																							| (256)  ~ (e4 = e1)
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																							+-Applying beta-rule and splitting (112), into two cases.
% 46.68/15.94  																																																							|-Branch one:
% 46.68/15.94  																																																							| (538) all_0_97_97 = e2
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																								| Equations (538) can reduce 527 to:
% 46.68/15.94  																																																								| (311) $false
% 46.68/15.94  																																																								|
% 46.68/15.94  																																																								|-The branch is then unsatisfiable
% 46.68/15.94  																																																							|-Branch two:
% 46.68/15.94  																																																							| (527)  ~ (all_0_97_97 = e2)
% 46.68/15.94  																																																							| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.68/15.94  																																																							|
% 46.68/15.94  																																																								+-Applying beta-rule and splitting (210), into two cases.
% 46.68/15.94  																																																								|-Branch one:
% 46.68/15.94  																																																								| (433) all_0_80_80 = e4
% 46.68/15.94  																																																								|
% 46.68/15.94  																																																									| Combining equations (433,416) yields a new equation:
% 46.68/15.94  																																																									| (790) e4 = e3
% 46.68/15.94  																																																									|
% 46.68/15.94  																																																									| Simplifying 790 yields:
% 46.68/15.94  																																																									| (434) e4 = e3
% 46.68/15.94  																																																									|
% 46.68/15.94  																																																									| Equations (434) can reduce 177 to:
% 46.68/15.94  																																																									| (311) $false
% 46.68/15.94  																																																									|
% 46.68/15.94  																																																									|-The branch is then unsatisfiable
% 46.68/15.94  																																																								|-Branch two:
% 46.68/15.94  																																																								| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.94  																																																								| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.94  																																																								|
% 46.68/15.94  																																																									+-Applying beta-rule and splitting (541), into two cases.
% 46.68/15.94  																																																									|-Branch one:
% 46.68/15.94  																																																									| (542) all_0_97_97 = e1
% 46.68/15.94  																																																									|
% 46.68/15.94  																																																										| Equations (542) can reduce 486 to:
% 46.68/15.94  																																																										| (311) $false
% 46.68/15.94  																																																										|
% 46.68/15.94  																																																										|-The branch is then unsatisfiable
% 46.68/15.94  																																																									|-Branch two:
% 46.68/15.94  																																																									| (486)  ~ (all_0_97_97 = e1)
% 46.68/15.94  																																																									| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 46.68/15.94  																																																									|
% 46.68/15.94  																																																										+-Applying beta-rule and splitting (437), into two cases.
% 46.68/15.94  																																																										|-Branch one:
% 46.68/15.94  																																																										| (438) all_0_84_84 = e4
% 46.68/15.94  																																																										|
% 46.68/15.94  																																																											| Combining equations (916,438) yields a new equation:
% 46.68/15.94  																																																											| (912) e4 = e0
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Equations (912) can reduce 23 to:
% 46.68/15.95  																																																											| (311) $false
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											|-The branch is then unsatisfiable
% 46.68/15.95  																																																										|-Branch two:
% 46.68/15.95  																																																										| (417)  ~ (all_0_84_84 = e4)
% 46.68/15.95  																																																										| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																											| Equations (916) can reduce 417 to:
% 46.68/15.95  																																																											| (904)  ~ (e4 = e0)
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Simplifying 904 yields:
% 46.68/15.95  																																																											| (23)  ~ (e4 = e0)
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											+-Applying beta-rule and splitting (34850), into two cases.
% 46.68/15.95  																																																											|-Branch one:
% 46.68/15.95  																																																											| (894) all_0_95_95 = e4
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																												| Combining equations (894,785) yields a new equation:
% 46.68/15.95  																																																												| (813) e4 = e1
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																												| Simplifying 813 yields:
% 46.68/15.95  																																																												| (814) e4 = e1
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																												| Equations (814) can reduce 256 to:
% 46.68/15.95  																																																												| (311) $false
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																												|-The branch is then unsatisfiable
% 46.68/15.95  																																																											|-Branch two:
% 46.68/15.95  																																																											| (315)  ~ (all_0_95_95 = e4)
% 46.68/15.95  																																																											| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																												+-Applying beta-rule and splitting (34882), into two cases.
% 46.68/15.95  																																																												|-Branch one:
% 46.68/15.95  																																																												| (610) all_0_97_97 = e4
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																													| Equations (610) can reduce 486 to:
% 46.68/15.95  																																																													| (256)  ~ (e4 = e1)
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Instantiating formula (262) with e3, e3, e4, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e4, yields:
% 46.68/15.95  																																																													| (844) all_0_72_72 = e4
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Instantiating formula (262) with e3, e3, e1, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e1, yields:
% 46.68/15.95  																																																													| (845) all_0_72_72 = e1
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Combining equations (845,844) yields a new equation:
% 46.68/15.95  																																																													| (814) e4 = e1
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Equations (814) can reduce 256 to:
% 46.68/15.95  																																																													| (311) $false
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													|-The branch is then unsatisfiable
% 46.68/15.95  																																																												|-Branch two:
% 46.68/15.95  																																																												| (319)  ~ (all_0_97_97 = e4)
% 46.68/15.95  																																																												| (2650) all_0_98_98 = e4
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																													| Combining equations (1121,2650) yields a new equation:
% 46.68/15.95  																																																													| (912) e4 = e0
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Equations (912) can reduce 23 to:
% 46.68/15.95  																																																													| (311) $false
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													|-The branch is then unsatisfiable
% 46.68/15.95  																																																						|-Branch two:
% 46.68/15.95  																																																						| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.95  																																																						| (542) all_0_97_97 = e1
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																							| Equations (542) can reduce 486 to:
% 46.68/15.95  																																																							| (311) $false
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																							|-The branch is then unsatisfiable
% 46.68/15.95  																																																			|-Branch two:
% 46.68/15.95  																																																			| (634)  ~ (all_0_81_81 = e4)
% 46.68/15.95  																																																			| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 46.68/15.95  																																																			|
% 46.68/15.95  																																																				+-Applying beta-rule and splitting (476), into two cases.
% 46.68/15.95  																																																				|-Branch one:
% 46.68/15.95  																																																				| (477) all_0_81_81 = e1
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																					| Equations (477) can reduce 628 to:
% 46.68/15.95  																																																					| (311) $false
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					|-The branch is then unsatisfiable
% 46.68/15.95  																																																				|-Branch two:
% 46.68/15.95  																																																				| (628)  ~ (all_0_81_81 = e1)
% 46.68/15.95  																																																				| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																					+-Applying beta-rule and splitting (629), into two cases.
% 46.68/15.95  																																																					|-Branch one:
% 46.68/15.95  																																																					| (635) all_0_81_81 = e3
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																						| Equations (635) can reduce 420 to:
% 46.68/15.95  																																																						| (311) $false
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																						|-The branch is then unsatisfiable
% 46.68/15.95  																																																					|-Branch two:
% 46.68/15.95  																																																					| (420)  ~ (all_0_81_81 = e3)
% 46.68/15.95  																																																					| (638) all_0_81_81 = e4
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																						| Equations (638) can reduce 634 to:
% 46.68/15.95  																																																						| (311) $false
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																						|-The branch is then unsatisfiable
% 46.68/15.95  																																																		|-Branch two:
% 46.68/15.95  																																																		| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.95  																																																		| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 46.68/15.95  																																																		|
% 46.68/15.95  																																																			+-Applying beta-rule and splitting (168), into two cases.
% 46.68/15.95  																																																			|-Branch one:
% 46.68/15.95  																																																			| (638) all_0_81_81 = e4
% 46.68/15.95  																																																			|
% 46.68/15.95  																																																				| Equations (638) can reduce 144 to:
% 46.68/15.95  																																																				| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																				| Equations (638) can reduce 257 to:
% 46.68/15.95  																																																				| (23)  ~ (e4 = e0)
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																				+-Applying beta-rule and splitting (829), into two cases.
% 46.68/15.95  																																																				|-Branch one:
% 46.68/15.95  																																																				| (482) all_0_87_87 = e1
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																					| Combining equations (374,482) yields a new equation:
% 46.68/15.95  																																																					| (408) e2 = e1
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					| Simplifying 408 yields:
% 46.68/15.95  																																																					| (385) e2 = e1
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					| Equations (385) can reduce 243 to:
% 46.68/15.95  																																																					| (311) $false
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					|-The branch is then unsatisfiable
% 46.68/15.95  																																																				|-Branch two:
% 46.68/15.95  																																																				| (625)  ~ (all_0_87_87 = e1)
% 46.68/15.95  																																																				| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																					+-Applying beta-rule and splitting (119), into two cases.
% 46.68/15.95  																																																					|-Branch one:
% 46.68/15.95  																																																					| (1343) all_0_92_92 = e2
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																						| Equations (1343) can reduce 298 to:
% 46.68/15.95  																																																						| (311) $false
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																						|-The branch is then unsatisfiable
% 46.68/15.95  																																																					|-Branch two:
% 46.68/15.95  																																																					| (298)  ~ (all_0_92_92 = e2)
% 46.68/15.95  																																																					| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																						+-Applying beta-rule and splitting (3735), into two cases.
% 46.68/15.95  																																																						|-Branch one:
% 46.68/15.95  																																																						| (836) all_0_92_92 = e1
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																							| Equations (836) can reduce 1619 to:
% 46.68/15.95  																																																							| (681)  ~ (e4 = e1)
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																							| Simplifying 681 yields:
% 46.68/15.95  																																																							| (256)  ~ (e4 = e1)
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																							| Equations (836) can reduce 426 to:
% 46.68/15.95  																																																							| (683)  ~ (e3 = e1)
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																							| Simplifying 683 yields:
% 46.68/15.95  																																																							| (20)  ~ (e3 = e1)
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																							+-Applying beta-rule and splitting (210), into two cases.
% 46.68/15.95  																																																							|-Branch one:
% 46.68/15.95  																																																							| (433) all_0_80_80 = e4
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																								| Equations (433) can reduce 436 to:
% 46.68/15.95  																																																								| (311) $false
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																								|-The branch is then unsatisfiable
% 46.68/15.95  																																																							|-Branch two:
% 46.68/15.95  																																																							| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.95  																																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																								+-Applying beta-rule and splitting (437), into two cases.
% 46.68/15.95  																																																								|-Branch one:
% 46.68/15.95  																																																								| (438) all_0_84_84 = e4
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																									| Combining equations (916,438) yields a new equation:
% 46.68/15.95  																																																									| (912) e4 = e0
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																									| Equations (912) can reduce 23 to:
% 46.68/15.95  																																																									| (311) $false
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																									|-The branch is then unsatisfiable
% 46.68/15.95  																																																								|-Branch two:
% 46.68/15.95  																																																								| (417)  ~ (all_0_84_84 = e4)
% 46.68/15.95  																																																								| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																									+-Applying beta-rule and splitting (441), into two cases.
% 46.68/15.95  																																																									|-Branch one:
% 46.68/15.95  																																																									| (442) all_0_92_92 = e4
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																										| Combining equations (836,442) yields a new equation:
% 46.68/15.95  																																																										| (814) e4 = e1
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																										| Equations (814) can reduce 256 to:
% 46.68/15.95  																																																										| (311) $false
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																										|-The branch is then unsatisfiable
% 46.68/15.95  																																																									|-Branch two:
% 46.68/15.95  																																																									| (1619)  ~ (all_0_92_92 = e4)
% 46.68/15.95  																																																									| (610) all_0_97_97 = e4
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																										| Equations (610) can reduce 428 to:
% 46.68/15.95  																																																										| (177)  ~ (e4 = e3)
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																										+-Applying beta-rule and splitting (1756), into two cases.
% 46.68/15.95  																																																										|-Branch one:
% 46.68/15.95  																																																										| (1708) all_0_79_79 = e3
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																											| Combining equations (1708,457) yields a new equation:
% 46.68/15.95  																																																											| (825) e3 = e1
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Simplifying 825 yields:
% 46.68/15.95  																																																											| (772) e3 = e1
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Equations (772) can reduce 20 to:
% 46.68/15.95  																																																											| (311) $false
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											|-The branch is then unsatisfiable
% 46.68/15.95  																																																										|-Branch two:
% 46.68/15.95  																																																										| (1711)  ~ (all_0_79_79 = e3)
% 46.68/15.95  																																																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																											| Equations (457) can reduce 1711 to:
% 46.68/15.95  																																																											| (683)  ~ (e3 = e1)
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Simplifying 683 yields:
% 46.68/15.95  																																																											| (20)  ~ (e3 = e1)
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											+-Applying beta-rule and splitting (2481), into two cases.
% 46.68/15.95  																																																											|-Branch one:
% 46.68/15.95  																																																											| (1265) all_0_84_84 = e3
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																												| Combining equations (916,1265) yields a new equation:
% 46.68/15.95  																																																												| (600) e3 = e0
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																												| Equations (600) can reduce 50 to:
% 46.68/15.95  																																																												| (311) $false
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																												|-The branch is then unsatisfiable
% 46.68/15.95  																																																											|-Branch two:
% 46.68/15.95  																																																											| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.95  																																																											| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																												+-Applying beta-rule and splitting (3765), into two cases.
% 46.68/15.95  																																																												|-Branch one:
% 46.68/15.95  																																																												| (882) all_0_92_92 = e3
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																													| Combining equations (836,882) yields a new equation:
% 46.68/15.95  																																																													| (772) e3 = e1
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Equations (772) can reduce 20 to:
% 46.68/15.95  																																																													| (311) $false
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													|-The branch is then unsatisfiable
% 46.68/15.95  																																																												|-Branch two:
% 46.68/15.95  																																																												| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.95  																																																												| (556) all_0_97_97 = e3
% 46.68/15.95  																																																												|
% 46.68/15.95  																																																													| Combining equations (610,556) yields a new equation:
% 46.68/15.95  																																																													| (790) e4 = e3
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Simplifying 790 yields:
% 46.68/15.95  																																																													| (434) e4 = e3
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													| Equations (434) can reduce 177 to:
% 46.68/15.95  																																																													| (311) $false
% 46.68/15.95  																																																													|
% 46.68/15.95  																																																													|-The branch is then unsatisfiable
% 46.68/15.95  																																																						|-Branch two:
% 46.68/15.95  																																																						| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.95  																																																						| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.68/15.95  																																																						|
% 46.68/15.95  																																																							+-Applying beta-rule and splitting (210), into two cases.
% 46.68/15.95  																																																							|-Branch one:
% 46.68/15.95  																																																							| (433) all_0_80_80 = e4
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																								| Equations (433) can reduce 436 to:
% 46.68/15.95  																																																								| (311) $false
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																								|-The branch is then unsatisfiable
% 46.68/15.95  																																																							|-Branch two:
% 46.68/15.95  																																																							| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.95  																																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.95  																																																							|
% 46.68/15.95  																																																								+-Applying beta-rule and splitting (437), into two cases.
% 46.68/15.95  																																																								|-Branch one:
% 46.68/15.95  																																																								| (438) all_0_84_84 = e4
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																									| Combining equations (916,438) yields a new equation:
% 46.68/15.95  																																																									| (912) e4 = e0
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																									| Equations (912) can reduce 23 to:
% 46.68/15.95  																																																									| (311) $false
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																									|-The branch is then unsatisfiable
% 46.68/15.95  																																																								|-Branch two:
% 46.68/15.95  																																																								| (417)  ~ (all_0_84_84 = e4)
% 46.68/15.95  																																																								| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.68/15.95  																																																								|
% 46.68/15.95  																																																									+-Applying beta-rule and splitting (441), into two cases.
% 46.68/15.95  																																																									|-Branch one:
% 46.68/15.95  																																																									| (442) all_0_92_92 = e4
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																										| Equations (442) can reduce 1619 to:
% 46.68/15.95  																																																										| (311) $false
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																										|-The branch is then unsatisfiable
% 46.68/15.95  																																																									|-Branch two:
% 46.68/15.95  																																																									| (1619)  ~ (all_0_92_92 = e4)
% 46.68/15.95  																																																									| (610) all_0_97_97 = e4
% 46.68/15.95  																																																									|
% 46.68/15.95  																																																										| Equations (610) can reduce 486 to:
% 46.68/15.95  																																																										| (256)  ~ (e4 = e1)
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																										+-Applying beta-rule and splitting (835), into two cases.
% 46.68/15.95  																																																										|-Branch one:
% 46.68/15.95  																																																										| (836) all_0_92_92 = e1
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																											| Equations (836) can reduce 840 to:
% 46.68/15.95  																																																											| (311) $false
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											|-The branch is then unsatisfiable
% 46.68/15.95  																																																										|-Branch two:
% 46.68/15.95  																																																										| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.95  																																																										| (542) all_0_97_97 = e1
% 46.68/15.95  																																																										|
% 46.68/15.95  																																																											| Combining equations (610,542) yields a new equation:
% 46.68/15.95  																																																											| (813) e4 = e1
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Simplifying 813 yields:
% 46.68/15.95  																																																											| (814) e4 = e1
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											| Equations (814) can reduce 256 to:
% 46.68/15.95  																																																											| (311) $false
% 46.68/15.95  																																																											|
% 46.68/15.95  																																																											|-The branch is then unsatisfiable
% 46.68/15.95  																																																			|-Branch two:
% 46.68/15.95  																																																			| (634)  ~ (all_0_81_81 = e4)
% 46.68/15.95  																																																			| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 46.68/15.95  																																																			|
% 46.68/15.95  																																																				+-Applying beta-rule and splitting (140), into two cases.
% 46.68/15.95  																																																				|-Branch one:
% 46.68/15.95  																																																				| (313) all_0_94_94 = e4
% 46.68/15.95  																																																				|
% 46.68/15.95  																																																					| Combining equations (313,1757) yields a new equation:
% 46.68/15.95  																																																					| (309) e4 = e2
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					| Simplifying 309 yields:
% 46.68/15.95  																																																					| (310) e4 = e2
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					| Equations (310) can reduce 79 to:
% 46.68/15.95  																																																					| (311) $false
% 46.68/15.95  																																																					|
% 46.68/15.95  																																																					|-The branch is then unsatisfiable
% 46.68/15.95  																																																				|-Branch two:
% 46.68/15.96  																																																				| (34849)  ~ (all_0_94_94 = e4)
% 46.68/15.96  																																																				| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.68/15.96  																																																				|
% 46.68/15.96  																																																					| Equations (1757) can reduce 34849 to:
% 46.68/15.96  																																																					| (528)  ~ (e4 = e2)
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																					| Simplifying 528 yields:
% 46.68/15.96  																																																					| (79)  ~ (e4 = e2)
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																					+-Applying beta-rule and splitting (2559), into two cases.
% 46.68/15.96  																																																					|-Branch one:
% 46.68/15.96  																																																					| (493) all_0_85_85 = e4
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																						| Combining equations (804,493) yields a new equation:
% 46.68/15.96  																																																						| (434) e4 = e3
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																						| Equations (434) can reduce 177 to:
% 46.68/15.96  																																																						| (311) $false
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																						|-The branch is then unsatisfiable
% 46.68/15.96  																																																					|-Branch two:
% 46.68/15.96  																																																					| (648)  ~ (all_0_85_85 = e4)
% 46.68/15.96  																																																					| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																						+-Applying beta-rule and splitting (2576), into two cases.
% 46.68/15.96  																																																						|-Branch one:
% 46.68/15.96  																																																						| (607) all_0_93_93 = e4
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																							| Combining equations (522,607) yields a new equation:
% 46.68/15.96  																																																							| (310) e4 = e2
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							| Equations (310) can reduce 79 to:
% 46.68/15.96  																																																							| (311) $false
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							|-The branch is then unsatisfiable
% 46.68/15.96  																																																						|-Branch two:
% 46.68/15.96  																																																						| (496)  ~ (all_0_93_93 = e4)
% 46.68/15.96  																																																						| (2650) all_0_98_98 = e4
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																							| Combining equations (1121,2650) yields a new equation:
% 46.68/15.96  																																																							| (912) e4 = e0
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							| Equations (912) can reduce 23 to:
% 46.68/15.96  																																																							| (311) $false
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							|-The branch is then unsatisfiable
% 46.68/15.96  																																										|-Branch two:
% 46.68/15.96  																																										| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.96  																																										| (744) all_0_95_95 = e3
% 46.68/15.96  																																										|
% 46.68/15.96  																																											| Equations (744) can reduce 765 to:
% 46.68/15.96  																																											| (311) $false
% 46.68/15.96  																																											|
% 46.68/15.96  																																											|-The branch is then unsatisfiable
% 46.68/15.96  																																						|-Branch two:
% 46.68/15.96  																																						| (465)  ~ (all_0_82_82 = e4)
% 46.68/15.96  																																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.68/15.96  																																						|
% 46.68/15.96  																																							+-Applying beta-rule and splitting (472), into two cases.
% 46.68/15.96  																																							|-Branch one:
% 46.68/15.96  																																							| (438) all_0_84_84 = e4
% 46.68/15.96  																																							|
% 46.68/15.96  																																								| Combining equations (916,438) yields a new equation:
% 46.68/15.96  																																								| (912) e4 = e0
% 46.68/15.96  																																								|
% 46.68/15.96  																																								| Equations (912) can reduce 23 to:
% 46.68/15.96  																																								| (311) $false
% 46.68/15.96  																																								|
% 46.68/15.96  																																								|-The branch is then unsatisfiable
% 46.68/15.96  																																							|-Branch two:
% 46.68/15.96  																																							| (417)  ~ (all_0_84_84 = e4)
% 46.68/15.96  																																							| (493) all_0_85_85 = e4
% 46.68/15.96  																																							|
% 46.68/15.96  																																								| Equations (493) can reduce 118 to:
% 46.68/15.96  																																								| (634)  ~ (all_0_81_81 = e4)
% 46.68/15.96  																																								|
% 46.68/15.96  																																								| Equations (493) can reduce 209 to:
% 46.68/15.96  																																								| (465)  ~ (all_0_82_82 = e4)
% 46.68/15.96  																																								|
% 46.68/15.96  																																								| Equations (493) can reduce 515 to:
% 46.68/15.96  																																								| (79)  ~ (e4 = e2)
% 46.68/15.96  																																								|
% 46.68/15.96  																																								| Equations (493) can reduce 128 to:
% 46.68/15.96  																																								| (256)  ~ (e4 = e1)
% 46.68/15.96  																																								|
% 46.68/15.96  																																								| Equations (493) can reduce 800 to:
% 46.68/15.96  																																								| (23)  ~ (e4 = e0)
% 46.68/15.96  																																								|
% 46.68/15.96  																																								+-Applying beta-rule and splitting (171), into two cases.
% 46.68/15.96  																																								|-Branch one:
% 46.68/15.96  																																								| (789) all_0_82_82 = e3
% 46.68/15.96  																																								|
% 46.68/15.96  																																									| Equations (789) can reduce 255 to:
% 46.68/15.96  																																									| (1815)  ~ (all_0_90_90 = e3)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									| Simplifying 1815 yields:
% 46.68/15.96  																																									| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									| Equations (789) can reduce 200 to:
% 46.68/15.96  																																									| (1070)  ~ (all_0_95_95 = e3)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									| Simplifying 1070 yields:
% 46.68/15.96  																																									| (765)  ~ (all_0_95_95 = e3)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									| Equations (789) can reduce 347 to:
% 46.68/15.96  																																									| (169)  ~ (e3 = e2)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									| Equations (789) can reduce 914 to:
% 46.68/15.96  																																									| (50)  ~ (e3 = e0)
% 46.68/15.96  																																									|
% 46.68/15.96  																																									+-Applying beta-rule and splitting (282), into two cases.
% 46.68/15.96  																																									|-Branch one:
% 46.68/15.96  																																									| (754) all_0_90_90 = e3
% 46.68/15.96  																																									|
% 46.68/15.96  																																										| Equations (754) can reduce 745 to:
% 46.68/15.96  																																										| (311) $false
% 46.68/15.96  																																										|
% 46.68/15.96  																																										|-The branch is then unsatisfiable
% 46.68/15.96  																																									|-Branch two:
% 46.68/15.96  																																									| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.96  																																									| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.68/15.96  																																									|
% 46.68/15.96  																																										+-Applying beta-rule and splitting (849), into two cases.
% 46.68/15.96  																																										|-Branch one:
% 46.68/15.96  																																										| (588) all_0_91_91 = e3
% 46.68/15.96  																																										|
% 46.68/15.96  																																											| Combining equations (1456,588) yields a new equation:
% 46.68/15.96  																																											| (600) e3 = e0
% 46.68/15.96  																																											|
% 46.68/15.96  																																											| Equations (600) can reduce 50 to:
% 46.68/15.96  																																											| (311) $false
% 46.68/15.96  																																											|
% 46.68/15.96  																																											|-The branch is then unsatisfiable
% 46.68/15.96  																																										|-Branch two:
% 46.68/15.96  																																										| (571)  ~ (all_0_91_91 = e3)
% 46.68/15.96  																																										| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.68/15.96  																																										|
% 46.68/15.96  																																											+-Applying beta-rule and splitting (881), into two cases.
% 46.68/15.96  																																											|-Branch one:
% 46.68/15.96  																																											| (882) all_0_92_92 = e3
% 46.68/15.96  																																											|
% 46.68/15.96  																																												| Equations (882) can reduce 49 to:
% 46.68/15.96  																																												| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.96  																																												|
% 46.68/15.96  																																												| Equations (882) can reduce 72 to:
% 46.68/15.96  																																												| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.96  																																												|
% 46.68/15.96  																																												| Equations (882) can reduce 258 to:
% 46.68/15.96  																																												| (427)  ~ (all_0_97_97 = e3)
% 46.68/15.96  																																												|
% 46.68/15.96  																																												| Simplifying 427 yields:
% 46.68/15.96  																																												| (428)  ~ (all_0_97_97 = e3)
% 46.68/15.96  																																												|
% 46.68/15.96  																																												| Equations (882) can reduce 298 to:
% 46.68/15.96  																																												| (169)  ~ (e3 = e2)
% 46.68/15.96  																																												|
% 46.68/15.96  																																												+-Applying beta-rule and splitting (106), into two cases.
% 46.68/15.96  																																												|-Branch one:
% 46.68/15.96  																																												| (771) all_0_78_78 = e3
% 46.68/15.96  																																												|
% 46.68/15.96  																																													| Combining equations (771,400) yields a new equation:
% 46.68/15.96  																																													| (547) e3 = e2
% 46.68/15.96  																																													|
% 46.68/15.96  																																													| Simplifying 547 yields:
% 46.68/15.96  																																													| (548) e3 = e2
% 46.68/15.96  																																													|
% 46.68/15.96  																																													| Equations (548) can reduce 169 to:
% 46.68/15.96  																																													| (311) $false
% 46.68/15.96  																																													|
% 46.68/15.96  																																													|-The branch is then unsatisfiable
% 46.68/15.96  																																												|-Branch two:
% 46.68/15.96  																																												| (418)  ~ (all_0_78_78 = e3)
% 46.68/15.96  																																												| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.96  																																												|
% 46.68/15.96  																																													+-Applying beta-rule and splitting (132), into two cases.
% 46.68/15.96  																																													|-Branch one:
% 46.68/15.96  																																													| (750) all_0_90_90 = e1
% 46.68/15.96  																																													|
% 46.68/15.96  																																														| Equations (750) can reduce 229 to:
% 46.68/15.96  																																														| (679)  ~ (all_0_95_95 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Simplifying 679 yields:
% 46.68/15.96  																																														| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Equations (750) can reduce 745 to:
% 46.68/15.96  																																														| (683)  ~ (e3 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Simplifying 683 yields:
% 46.68/15.96  																																														| (20)  ~ (e3 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Equations (750) can reduce 294 to:
% 46.68/15.96  																																														| (487)  ~ (e2 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Simplifying 487 yields:
% 46.68/15.96  																																														| (243)  ~ (e2 = e1)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| Equations (750) can reduce 762 to:
% 46.68/15.96  																																														| (264)  ~ (e1 = e0)
% 46.68/15.96  																																														|
% 46.68/15.96  																																														| From (750) and (743) follows:
% 46.68/15.96  																																														| (12314) op(e3, e1) = e1
% 46.68/15.96  																																														|
% 46.68/15.96  																																														+-Applying beta-rule and splitting (176), into two cases.
% 46.68/15.96  																																														|-Branch one:
% 46.68/15.96  																																														| (785) all_0_95_95 = e1
% 46.68/15.96  																																														|
% 46.68/15.96  																																															| Equations (785) can reduce 680 to:
% 46.68/15.96  																																															| (311) $false
% 46.68/15.96  																																															|
% 46.68/15.96  																																															|-The branch is then unsatisfiable
% 46.68/15.96  																																														|-Branch two:
% 46.68/15.96  																																														| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.96  																																														| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.68/15.96  																																														|
% 46.68/15.96  																																															+-Applying beta-rule and splitting (641), into two cases.
% 46.68/15.96  																																															|-Branch one:
% 46.68/15.96  																																															| (433) all_0_80_80 = e4
% 46.68/15.96  																																															|
% 46.68/15.96  																																																+-Applying beta-rule and splitting (250), into two cases.
% 46.68/15.96  																																																|-Branch one:
% 46.68/15.96  																																																| (635) all_0_81_81 = e3
% 46.68/15.96  																																																|
% 46.68/15.96  																																																	| Equations (635) can reduce 628 to:
% 46.68/15.96  																																																	| (20)  ~ (e3 = e1)
% 46.68/15.96  																																																	|
% 46.68/15.96  																																																	+-Applying beta-rule and splitting (829), into two cases.
% 46.68/15.96  																																																	|-Branch one:
% 46.68/15.96  																																																	| (482) all_0_87_87 = e1
% 46.68/15.96  																																																	|
% 46.68/15.96  																																																		| Combining equations (374,482) yields a new equation:
% 46.68/15.96  																																																		| (408) e2 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		| Simplifying 408 yields:
% 46.68/15.96  																																																		| (385) e2 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		| Equations (385) can reduce 243 to:
% 46.68/15.96  																																																		| (311) $false
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		|-The branch is then unsatisfiable
% 46.68/15.96  																																																	|-Branch two:
% 46.68/15.96  																																																	| (625)  ~ (all_0_87_87 = e1)
% 46.68/15.96  																																																	| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.68/15.96  																																																	|
% 46.68/15.96  																																																		+-Applying beta-rule and splitting (835), into two cases.
% 46.68/15.96  																																																		|-Branch one:
% 46.68/15.96  																																																		| (836) all_0_92_92 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																			| Combining equations (882,836) yields a new equation:
% 46.68/15.96  																																																			| (825) e3 = e1
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Simplifying 825 yields:
% 46.68/15.96  																																																			| (772) e3 = e1
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Equations (772) can reduce 20 to:
% 46.68/15.96  																																																			| (311) $false
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			|-The branch is then unsatisfiable
% 46.68/15.96  																																																		|-Branch two:
% 46.68/15.96  																																																		| (840)  ~ (all_0_92_92 = e1)
% 46.68/15.96  																																																		| (542) all_0_97_97 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																			| Equations (542) can reduce 609 to:
% 46.68/15.96  																																																			| (264)  ~ (e1 = e0)
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Instantiating formula (262) with e3, e1, e1, e0 and discharging atoms op(e3, e1) = e1, op(e3, e1) = e0, yields:
% 46.68/15.96  																																																			| (865) e1 = e0
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Equations (865) can reduce 264 to:
% 46.68/15.96  																																																			| (311) $false
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			|-The branch is then unsatisfiable
% 46.68/15.96  																																																|-Branch two:
% 46.68/15.96  																																																| (420)  ~ (all_0_81_81 = e3)
% 46.68/15.96  																																																| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.68/15.96  																																																|
% 46.68/15.96  																																																	+-Applying beta-rule and splitting (788), into two cases.
% 46.68/15.96  																																																	|-Branch one:
% 46.68/15.96  																																																	| (960) all_0_96_96 = e1
% 46.68/15.96  																																																	|
% 46.68/15.96  																																																		| Combining equations (778,960) yields a new equation:
% 46.68/15.96  																																																		| (825) e3 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		| Simplifying 825 yields:
% 46.68/15.96  																																																		| (772) e3 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		| Equations (772) can reduce 20 to:
% 46.68/15.96  																																																		| (311) $false
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																		|-The branch is then unsatisfiable
% 46.68/15.96  																																																	|-Branch two:
% 46.68/15.96  																																																	| (1479)  ~ (all_0_96_96 = e1)
% 46.68/15.96  																																																	| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.68/15.96  																																																	|
% 46.68/15.96  																																																		+-Applying beta-rule and splitting (2126), into two cases.
% 46.68/15.96  																																																		|-Branch one:
% 46.68/15.96  																																																		| (542) all_0_97_97 = e1
% 46.68/15.96  																																																		|
% 46.68/15.96  																																																			| Equations (542) can reduce 105 to:
% 46.68/15.96  																																																			| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Equations (542) can reduce 428 to:
% 46.68/15.96  																																																			| (683)  ~ (e3 = e1)
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			| Simplifying 683 yields:
% 46.68/15.96  																																																			| (20)  ~ (e3 = e1)
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																			+-Applying beta-rule and splitting (99), into two cases.
% 46.68/15.96  																																																			|-Branch one:
% 46.68/15.96  																																																			| (767) all_0_95_95 = e2
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																				| Equations (767) can reduce 355 to:
% 46.68/15.96  																																																				| (311) $false
% 46.68/15.96  																																																				|
% 46.68/15.96  																																																				|-The branch is then unsatisfiable
% 46.68/15.96  																																																			|-Branch two:
% 46.68/15.96  																																																			| (355)  ~ (all_0_95_95 = e2)
% 46.68/15.96  																																																			| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.68/15.96  																																																			|
% 46.68/15.96  																																																				+-Applying beta-rule and splitting (770), into two cases.
% 46.68/15.96  																																																				|-Branch one:
% 46.68/15.96  																																																				| (785) all_0_95_95 = e1
% 46.68/15.96  																																																				|
% 46.68/15.96  																																																					| Equations (785) can reduce 680 to:
% 46.68/15.96  																																																					| (311) $false
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																					|-The branch is then unsatisfiable
% 46.68/15.96  																																																				|-Branch two:
% 46.68/15.96  																																																				| (680)  ~ (all_0_95_95 = e1)
% 46.68/15.96  																																																				| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.68/15.96  																																																				|
% 46.68/15.96  																																																					+-Applying beta-rule and splitting (853), into two cases.
% 46.68/15.96  																																																					|-Branch one:
% 46.68/15.96  																																																					| (744) all_0_95_95 = e3
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																						| Equations (744) can reduce 765 to:
% 46.68/15.96  																																																						| (311) $false
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																						|-The branch is then unsatisfiable
% 46.68/15.96  																																																					|-Branch two:
% 46.68/15.96  																																																					| (765)  ~ (all_0_95_95 = e3)
% 46.68/15.96  																																																					| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.68/15.96  																																																					|
% 46.68/15.96  																																																						+-Applying beta-rule and splitting (857), into two cases.
% 46.68/15.96  																																																						|-Branch one:
% 46.68/15.96  																																																						| (858) all_0_95_95 = e0
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																							| Equations (858) can reduce 893 to:
% 46.68/15.96  																																																							| (311) $false
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							|-The branch is then unsatisfiable
% 46.68/15.96  																																																						|-Branch two:
% 46.68/15.96  																																																						| (893)  ~ (all_0_95_95 = e0)
% 46.68/15.96  																																																						| (894) all_0_95_95 = e4
% 46.68/15.96  																																																						|
% 46.68/15.96  																																																							| Equations (894) can reduce 765 to:
% 46.68/15.96  																																																							| (177)  ~ (e4 = e3)
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																							+-Applying beta-rule and splitting (1756), into two cases.
% 46.68/15.96  																																																							|-Branch one:
% 46.68/15.96  																																																							| (1708) all_0_79_79 = e3
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																								| Combining equations (1708,457) yields a new equation:
% 46.68/15.96  																																																								| (825) e3 = e1
% 46.68/15.96  																																																								|
% 46.68/15.96  																																																								| Simplifying 825 yields:
% 46.68/15.96  																																																								| (772) e3 = e1
% 46.68/15.96  																																																								|
% 46.68/15.96  																																																								| Equations (772) can reduce 20 to:
% 46.68/15.96  																																																								| (311) $false
% 46.68/15.96  																																																								|
% 46.68/15.96  																																																								|-The branch is then unsatisfiable
% 46.68/15.96  																																																							|-Branch two:
% 46.68/15.96  																																																							| (1711)  ~ (all_0_79_79 = e3)
% 46.68/15.96  																																																							| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.96  																																																							|
% 46.68/15.96  																																																								+-Applying beta-rule and splitting (1768), into two cases.
% 46.68/15.96  																																																								|-Branch one:
% 46.68/15.96  																																																								| (416) all_0_80_80 = e3
% 46.68/15.96  																																																								|
% 46.68/15.96  																																																									| Combining equations (416,433) yields a new equation:
% 46.68/15.96  																																																									| (434) e4 = e3
% 46.68/15.96  																																																									|
% 46.68/15.96  																																																									| Equations (434) can reduce 177 to:
% 46.68/15.96  																																																									| (311) $false
% 46.68/15.96  																																																									|
% 46.68/15.96  																																																									|-The branch is then unsatisfiable
% 46.68/15.96  																																																								|-Branch two:
% 46.68/15.96  																																																								| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.96  																																																								| (635) all_0_81_81 = e3
% 46.68/15.96  																																																								|
% 46.68/15.96  																																																									| Equations (635) can reduce 420 to:
% 46.68/15.96  																																																									| (311) $false
% 46.68/15.96  																																																									|
% 46.68/15.96  																																																									|-The branch is then unsatisfiable
% 46.68/15.97  																																																		|-Branch two:
% 46.68/15.97  																																																		| (486)  ~ (all_0_97_97 = e1)
% 46.68/15.97  																																																		| (1543) all_0_98_98 = e1
% 46.68/15.97  																																																		|
% 46.68/15.97  																																																			| Combining equations (1121,1543) yields a new equation:
% 46.68/15.97  																																																			| (865) e1 = e0
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			| Equations (865) can reduce 264 to:
% 46.68/15.97  																																																			| (311) $false
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			|-The branch is then unsatisfiable
% 46.68/15.97  																																															|-Branch two:
% 46.68/15.97  																																															| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.97  																																															| (638) all_0_81_81 = e4
% 46.68/15.97  																																															|
% 46.68/15.97  																																																| Equations (638) can reduce 634 to:
% 46.68/15.97  																																																| (311) $false
% 46.68/15.97  																																																|
% 46.68/15.97  																																																|-The branch is then unsatisfiable
% 46.68/15.97  																																													|-Branch two:
% 46.68/15.97  																																													| (678)  ~ (all_0_90_90 = e1)
% 46.68/15.97  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.68/15.97  																																													|
% 46.68/15.97  																																														+-Applying beta-rule and splitting (188), into two cases.
% 46.68/15.97  																																														|-Branch one:
% 46.68/15.97  																																														| (676) all_0_78_78 = e1
% 46.68/15.97  																																														|
% 46.68/15.97  																																															| Combining equations (676,400) yields a new equation:
% 46.68/15.97  																																															| (385) e2 = e1
% 46.68/15.97  																																															|
% 46.68/15.97  																																															| Equations (385) can reduce 243 to:
% 46.68/15.97  																																															| (311) $false
% 46.68/15.97  																																															|
% 46.68/15.97  																																															|-The branch is then unsatisfiable
% 46.68/15.97  																																														|-Branch two:
% 46.68/15.97  																																														| (1601)  ~ (all_0_78_78 = e1)
% 46.68/15.97  																																														| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.68/15.97  																																														|
% 46.68/15.97  																																															+-Applying beta-rule and splitting (1718), into two cases.
% 46.68/15.97  																																															|-Branch one:
% 46.68/15.97  																																															| (384) all_0_86_86 = e1
% 46.68/15.97  																																															|
% 46.68/15.97  																																																| Combining equations (378,384) yields a new equation:
% 46.68/15.97  																																																| (865) e1 = e0
% 46.68/15.97  																																																|
% 46.68/15.97  																																																| Equations (865) can reduce 264 to:
% 46.68/15.97  																																																| (311) $false
% 46.68/15.97  																																																|
% 46.68/15.97  																																																|-The branch is then unsatisfiable
% 46.68/15.97  																																															|-Branch two:
% 46.68/15.97  																																															| (387)  ~ (all_0_86_86 = e1)
% 46.68/15.97  																																															| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.68/15.97  																																															|
% 46.68/15.97  																																																+-Applying beta-rule and splitting (2122), into two cases.
% 46.68/15.97  																																																|-Branch one:
% 46.68/15.97  																																																| (750) all_0_90_90 = e1
% 46.68/15.97  																																																|
% 46.68/15.97  																																																	| Equations (750) can reduce 678 to:
% 46.68/15.97  																																																	| (311) $false
% 46.68/15.97  																																																	|
% 46.68/15.97  																																																	|-The branch is then unsatisfiable
% 46.68/15.97  																																																|-Branch two:
% 46.68/15.97  																																																| (678)  ~ (all_0_90_90 = e1)
% 46.68/15.97  																																																| (785) all_0_95_95 = e1
% 46.68/15.97  																																																|
% 46.68/15.97  																																																	+-Applying beta-rule and splitting (45), into two cases.
% 46.68/15.97  																																																	|-Branch one:
% 46.68/15.97  																																																	| (546) all_0_80_80 = e2
% 46.68/15.97  																																																	|
% 46.68/15.97  																																																		| Equations (546) can reduce 394 to:
% 46.68/15.97  																																																		| (311) $false
% 46.68/15.97  																																																		|
% 46.68/15.97  																																																		|-The branch is then unsatisfiable
% 46.68/15.97  																																																	|-Branch two:
% 46.68/15.97  																																																	| (394)  ~ (all_0_80_80 = e2)
% 46.68/15.97  																																																	| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.68/15.97  																																																	|
% 46.68/15.97  																																																		+-Applying beta-rule and splitting (4), into two cases.
% 46.68/15.97  																																																		|-Branch one:
% 46.68/15.97  																																																		| (463) all_0_78_78 = e4
% 46.68/15.97  																																																		|
% 46.68/15.97  																																																			| Combining equations (463,400) yields a new equation:
% 46.68/15.97  																																																			| (309) e4 = e2
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			| Simplifying 309 yields:
% 46.68/15.97  																																																			| (310) e4 = e2
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			| Equations (310) can reduce 79 to:
% 46.68/15.97  																																																			| (311) $false
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			|-The branch is then unsatisfiable
% 46.68/15.97  																																																		|-Branch two:
% 46.68/15.97  																																																		| (640)  ~ (all_0_78_78 = e4)
% 46.68/15.97  																																																		| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.68/15.97  																																																		|
% 46.68/15.97  																																																			| Equations (400) can reduce 640 to:
% 46.68/15.97  																																																			| (528)  ~ (e4 = e2)
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			| Simplifying 528 yields:
% 46.68/15.97  																																																			| (79)  ~ (e4 = e2)
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																			+-Applying beta-rule and splitting (140), into two cases.
% 46.68/15.97  																																																			|-Branch one:
% 46.68/15.97  																																																			| (313) all_0_94_94 = e4
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																				| Combining equations (313,1757) yields a new equation:
% 46.68/15.97  																																																				| (309) e4 = e2
% 46.68/15.97  																																																				|
% 46.68/15.97  																																																				| Simplifying 309 yields:
% 46.68/15.97  																																																				| (310) e4 = e2
% 46.68/15.97  																																																				|
% 46.68/15.97  																																																				| Equations (310) can reduce 79 to:
% 46.68/15.97  																																																				| (311) $false
% 46.68/15.97  																																																				|
% 46.68/15.97  																																																				|-The branch is then unsatisfiable
% 46.68/15.97  																																																			|-Branch two:
% 46.68/15.97  																																																			| (34849)  ~ (all_0_94_94 = e4)
% 46.68/15.97  																																																			| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.68/15.97  																																																			|
% 46.68/15.97  																																																				+-Applying beta-rule and splitting (34850), into two cases.
% 46.68/15.97  																																																				|-Branch one:
% 46.68/15.97  																																																				| (894) all_0_95_95 = e4
% 46.68/15.97  																																																				|
% 46.68/15.97  																																																					| Combining equations (894,785) yields a new equation:
% 46.68/15.97  																																																					| (813) e4 = e1
% 46.68/15.97  																																																					|
% 46.68/15.97  																																																					| Simplifying 813 yields:
% 46.68/15.97  																																																					| (814) e4 = e1
% 46.68/15.97  																																																					|
% 46.68/15.97  																																																					| Equations (814) can reduce 256 to:
% 46.68/15.97  																																																					| (311) $false
% 46.68/15.97  																																																					|
% 46.68/15.97  																																																					|-The branch is then unsatisfiable
% 46.68/15.97  																																																				|-Branch two:
% 46.68/15.97  																																																				| (315)  ~ (all_0_95_95 = e4)
% 46.68/15.97  																																																				| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.68/15.97  																																																				|
% 46.68/15.97  																																																					+-Applying beta-rule and splitting (34882), into two cases.
% 46.68/15.97  																																																					|-Branch one:
% 46.68/15.97  																																																					| (610) all_0_97_97 = e4
% 46.68/15.97  																																																					|
% 46.68/15.97  																																																						| Equations (610) can reduce 202 to:
% 46.68/15.97  																																																						| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																						+-Applying beta-rule and splitting (3232), into two cases.
% 46.68/15.97  																																																						|-Branch one:
% 46.68/15.97  																																																						| (824) all_0_80_80 = e1
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																							| Equations (824) can reduce 828 to:
% 46.68/15.97  																																																							| (311) $false
% 46.68/15.97  																																																							|
% 46.68/15.97  																																																							|-The branch is then unsatisfiable
% 46.68/15.97  																																																						|-Branch two:
% 46.68/15.97  																																																						| (828)  ~ (all_0_80_80 = e1)
% 46.68/15.97  																																																						| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																							+-Applying beta-rule and splitting (4018), into two cases.
% 46.68/15.97  																																																							|-Branch one:
% 46.68/15.97  																																																							| (416) all_0_80_80 = e3
% 46.68/15.97  																																																							|
% 46.68/15.97  																																																								| Equations (416) can reduce 2347 to:
% 46.68/15.97  																																																								| (311) $false
% 46.68/15.97  																																																								|
% 46.68/15.97  																																																								|-The branch is then unsatisfiable
% 46.68/15.97  																																																							|-Branch two:
% 46.68/15.97  																																																							| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.97  																																																							| (433) all_0_80_80 = e4
% 46.68/15.97  																																																							|
% 46.68/15.97  																																																								| Equations (433) can reduce 436 to:
% 46.68/15.97  																																																								| (311) $false
% 46.68/15.97  																																																								|
% 46.68/15.97  																																																								|-The branch is then unsatisfiable
% 46.68/15.97  																																																					|-Branch two:
% 46.68/15.97  																																																					| (319)  ~ (all_0_97_97 = e4)
% 46.68/15.97  																																																					| (2650) all_0_98_98 = e4
% 46.68/15.97  																																																					|
% 46.68/15.97  																																																						| Combining equations (2650,1121) yields a new equation:
% 46.68/15.97  																																																						| (911) e4 = e0
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																						| Simplifying 911 yields:
% 46.68/15.97  																																																						| (912) e4 = e0
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																						| Equations (912) can reduce 23 to:
% 46.68/15.97  																																																						| (311) $false
% 46.68/15.97  																																																						|
% 46.68/15.97  																																																						|-The branch is then unsatisfiable
% 46.68/15.97  																																											|-Branch two:
% 46.68/15.97  																																											| (426)  ~ (all_0_92_92 = e3)
% 46.68/15.97  																																											| (570) all_0_93_93 = e3
% 46.68/15.97  																																											|
% 46.68/15.97  																																												| Combining equations (570,522) yields a new equation:
% 46.68/15.97  																																												| (547) e3 = e2
% 46.68/15.97  																																												|
% 46.68/15.97  																																												| Simplifying 547 yields:
% 46.68/15.97  																																												| (548) e3 = e2
% 46.68/15.97  																																												|
% 46.68/15.97  																																												| Equations (548) can reduce 169 to:
% 46.68/15.97  																																												| (311) $false
% 46.68/15.97  																																												|
% 46.68/15.97  																																												|-The branch is then unsatisfiable
% 46.68/15.97  																																								|-Branch two:
% 46.68/15.97  																																								| (793)  ~ (all_0_82_82 = e3)
% 46.68/15.97  																																								| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.68/15.97  																																								|
% 46.68/15.97  																																									+-Applying beta-rule and splitting (2205), into two cases.
% 46.68/15.97  																																									|-Branch one:
% 46.68/15.97  																																									| (789) all_0_82_82 = e3
% 46.68/15.97  																																									|
% 46.68/15.97  																																										| Equations (789) can reduce 793 to:
% 46.68/15.97  																																										| (311) $false
% 46.68/15.97  																																										|
% 46.68/15.97  																																										|-The branch is then unsatisfiable
% 46.68/15.97  																																									|-Branch two:
% 46.68/15.97  																																									| (793)  ~ (all_0_82_82 = e3)
% 46.68/15.97  																																									| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.68/15.97  																																									|
% 46.68/15.97  																																										+-Applying beta-rule and splitting (2706), into two cases.
% 46.68/15.97  																																										|-Branch one:
% 46.68/15.97  																																										| (910) all_0_82_82 = e0
% 46.68/15.97  																																										|
% 46.68/15.97  																																											| Equations (910) can reduce 914 to:
% 46.68/15.97  																																											| (311) $false
% 46.68/15.97  																																											|
% 46.68/15.97  																																											|-The branch is then unsatisfiable
% 46.68/15.97  																																										|-Branch two:
% 46.68/15.97  																																										| (914)  ~ (all_0_82_82 = e0)
% 46.68/15.97  																																										| (469) all_0_82_82 = e4
% 46.68/15.97  																																										|
% 46.68/15.97  																																											| Equations (469) can reduce 465 to:
% 46.68/15.97  																																											| (311) $false
% 46.68/15.97  																																											|
% 46.68/15.97  																																											|-The branch is then unsatisfiable
% 46.68/15.97  																																					|-Branch two:
% 46.68/15.97  																																					| (964)  ~ (all_0_96_96 = e3)
% 46.68/15.97  																																					| (1837) all_0_96_96 = e0
% 46.68/15.97  																																					|
% 46.68/15.97  																																						| Equations (1837) can reduce 2095 to:
% 46.68/15.97  																																						| (311) $false
% 46.68/15.97  																																						|
% 46.68/15.97  																																						|-The branch is then unsatisfiable
% 46.68/15.98  																																			|-Branch two:
% 46.68/15.98  																																			| (1487)  ~ (all_0_91_91 = e0)
% 46.68/15.98  																																			| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.68/15.98  																																			|
% 46.68/15.98  																																				+-Applying beta-rule and splitting (1488), into two cases.
% 46.68/15.98  																																				|-Branch one:
% 46.68/15.98  																																				| (942) all_0_92_92 = e0
% 46.68/15.98  																																				|
% 46.68/15.98  																																					| Equations (942) can reduce 946 to:
% 46.68/15.98  																																					| (311) $false
% 46.68/15.98  																																					|
% 46.68/15.98  																																					|-The branch is then unsatisfiable
% 46.68/15.98  																																				|-Branch two:
% 46.68/15.98  																																				| (946)  ~ (all_0_92_92 = e0)
% 46.68/15.98  																																				| (604) all_0_93_93 = e0
% 46.68/15.98  																																				|
% 46.68/15.98  																																					| Combining equations (522,604) yields a new equation:
% 46.68/15.98  																																					| (923) e2 = e0
% 46.68/15.98  																																					|
% 46.68/15.98  																																					| Simplifying 923 yields:
% 46.68/15.98  																																					| (379) e2 = e0
% 46.68/15.98  																																					|
% 46.68/15.98  																																					| Equations (379) can reduce 76 to:
% 46.68/15.98  																																					| (311) $false
% 46.68/15.98  																																					|
% 46.68/15.98  																																					|-The branch is then unsatisfiable
% 46.68/15.98  																																		|-Branch two:
% 46.68/15.98  																																		| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.98  																																		| (954) all_0_85_85 = e0
% 46.68/15.98  																																		|
% 46.68/15.98  																																			| Equations (954) can reduce 800 to:
% 46.68/15.98  																																			| (311) $false
% 46.68/15.98  																																			|
% 46.68/15.98  																																			|-The branch is then unsatisfiable
% 46.68/15.98  																						|-Branch two:
% 46.68/15.98  																						| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 46.68/15.98  																						|
% 46.68/15.98  																							| Applying alpha-rule on (973) yields:
% 46.68/15.98  																							| (974) all_0_50_50 = e0
% 46.68/15.98  																							| (975)  ~ (all_0_51_51 = e3)
% 46.68/15.98  																							|
% 46.68/15.98  																							| From (974) and (121) follows:
% 46.68/15.98  																							| (976) op(e3, all_0_95_95) = e0
% 46.68/15.98  																							|
% 46.68/15.98  																							+-Applying beta-rule and splitting (10), into two cases.
% 46.68/15.98  																							|-Branch one:
% 46.68/15.98  																							| (530) all_0_82_82 = e2
% 46.68/15.98  																							|
% 46.68/15.98  																								| Equations (530) can reduce 347 to:
% 46.68/15.98  																								| (311) $false
% 46.68/15.98  																								|
% 46.68/15.98  																								|-The branch is then unsatisfiable
% 46.68/15.98  																							|-Branch two:
% 46.68/15.98  																							| (347)  ~ (all_0_82_82 = e2)
% 46.68/15.98  																							| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.68/15.98  																							|
% 46.68/15.98  																								+-Applying beta-rule and splitting (123), into two cases.
% 46.68/15.98  																								|-Branch one:
% 46.68/15.98  																								| (473) all_0_81_81 = e2
% 46.68/15.98  																								|
% 46.68/15.98  																									| Equations (473) can reduce 396 to:
% 46.68/15.98  																									| (311) $false
% 46.68/15.98  																									|
% 46.68/15.98  																									|-The branch is then unsatisfiable
% 46.68/15.98  																								|-Branch two:
% 46.68/15.98  																								| (396)  ~ (all_0_81_81 = e2)
% 46.68/15.98  																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 46.68/15.98  																								|
% 46.68/15.98  																									+-Applying beta-rule and splitting (284), into two cases.
% 46.68/15.98  																									|-Branch one:
% 46.68/15.98  																									| (1723) all_0_91_91 = e2
% 46.68/15.98  																									|
% 46.68/15.98  																										| Equations (1723) can reduce 296 to:
% 46.68/15.98  																										| (311) $false
% 46.68/15.98  																										|
% 46.68/15.98  																										|-The branch is then unsatisfiable
% 46.68/15.98  																									|-Branch two:
% 46.68/15.98  																									| (296)  ~ (all_0_91_91 = e2)
% 46.68/15.98  																									| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.68/15.98  																									|
% 46.68/15.98  																										+-Applying beta-rule and splitting (291), into two cases.
% 46.68/15.98  																										|-Branch one:
% 46.68/15.98  																										| (758) all_0_90_90 = e0
% 46.68/15.98  																										|
% 46.68/15.98  																											| Equations (758) can reduce 762 to:
% 46.68/15.98  																											| (311) $false
% 46.68/15.98  																											|
% 46.68/15.98  																											|-The branch is then unsatisfiable
% 46.68/15.98  																										|-Branch two:
% 46.68/15.98  																										| (762)  ~ (all_0_90_90 = e0)
% 46.68/15.98  																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.68/15.98  																										|
% 46.68/15.98  																											+-Applying beta-rule and splitting (289), into two cases.
% 46.68/15.98  																											|-Branch one:
% 46.68/15.98  																											| (954) all_0_85_85 = e0
% 46.68/15.98  																											|
% 46.68/15.98  																												| Equations (954) can reduce 209 to:
% 46.68/15.98  																												| (914)  ~ (all_0_82_82 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Equations (954) can reduce 154 to:
% 46.68/15.98  																												| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Equations (954) can reduce 75 to:
% 46.68/15.98  																												| (2058)  ~ (all_0_98_98 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Simplifying 2058 yields:
% 46.68/15.98  																												| (2059)  ~ (all_0_98_98 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Equations (954) can reduce 515 to:
% 46.68/15.98  																												| (510)  ~ (e2 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Simplifying 510 yields:
% 46.68/15.98  																												| (76)  ~ (e2 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Equations (954) can reduce 128 to:
% 46.68/15.98  																												| (859)  ~ (e1 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| Simplifying 859 yields:
% 46.68/15.98  																												| (264)  ~ (e1 = e0)
% 46.68/15.98  																												|
% 46.68/15.98  																												| From (954) and (197) follows:
% 46.68/15.98  																												| (10073) op(e3, e0) = all_0_72_72
% 46.68/15.98  																												|
% 46.68/15.98  																												| From (954) and (8) follows:
% 46.68/15.98  																												| (1093) op(e3, e0) = e0
% 46.68/15.98  																												|
% 46.68/15.98  																												| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 46.68/15.98  																												| (10076) all_0_72_72 = e0
% 46.68/15.98  																												|
% 46.68/15.98  																												+-Applying beta-rule and splitting (89), into two cases.
% 46.68/15.98  																												|-Branch one:
% 46.68/15.98  																												| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.68/15.98  																												|
% 46.68/15.98  																													+-Applying beta-rule and splitting (1373), into two cases.
% 46.68/15.98  																													|-Branch one:
% 46.68/15.98  																													| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.68/15.98  																													|
% 46.68/15.98  																														+-Applying beta-rule and splitting (1374), into two cases.
% 46.68/15.98  																														|-Branch one:
% 46.68/15.98  																														| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.68/15.98  																														|
% 46.68/15.98  																															| Applying alpha-rule on (1375) yields:
% 46.68/15.98  																															| (1376) all_0_69_69 = e4
% 46.68/15.98  																															| (1377)  ~ (all_0_70_70 = e0)
% 46.68/15.98  																															|
% 46.68/15.98  																															| From (1376) and (145) follows:
% 46.68/15.98  																															| (19338) op(e0, all_0_81_81) = e4
% 46.68/15.98  																															|
% 46.68/15.98  																															+-Applying beta-rule and splitting (109), into two cases.
% 46.68/15.98  																															|-Branch one:
% 46.68/15.98  																															| (469) all_0_82_82 = e4
% 46.68/15.98  																															|
% 46.68/15.98  																																| Equations (469) can reduce 7 to:
% 46.68/15.98  																																| (662)  ~ (all_0_84_84 = e4)
% 46.68/15.98  																																|
% 46.68/15.98  																																| Simplifying 662 yields:
% 46.68/15.98  																																| (417)  ~ (all_0_84_84 = e4)
% 46.68/15.98  																																|
% 46.68/15.98  																																+-Applying beta-rule and splitting (92), into two cases.
% 46.68/15.98  																																|-Branch one:
% 46.68/15.98  																																| (552) all_0_84_84 = e2
% 46.68/15.98  																																|
% 46.68/15.98  																																	| Equations (552) can reduce 612 to:
% 46.68/15.98  																																	| (311) $false
% 46.68/15.98  																																	|
% 46.68/15.98  																																	|-The branch is then unsatisfiable
% 46.68/15.98  																																|-Branch two:
% 46.68/15.98  																																| (612)  ~ (all_0_84_84 = e2)
% 46.68/15.98  																																| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.68/15.98  																																|
% 46.68/15.98  																																	+-Applying beta-rule and splitting (617), into two cases.
% 46.68/15.98  																																	|-Branch one:
% 46.68/15.98  																																	| (1265) all_0_84_84 = e3
% 46.68/15.98  																																	|
% 46.68/15.98  																																		| Equations (1265) can reduce 273 to:
% 46.68/15.98  																																		| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.98  																																		|
% 46.68/15.98  																																		| Equations (1265) can reduce 612 to:
% 46.68/15.98  																																		| (169)  ~ (e3 = e2)
% 46.68/15.98  																																		|
% 46.68/15.98  																																		| Equations (1265) can reduce 259 to:
% 46.68/15.98  																																		| (20)  ~ (e3 = e1)
% 46.68/15.98  																																		|
% 46.68/15.98  																																		+-Applying beta-rule and splitting (45), into two cases.
% 46.68/15.98  																																		|-Branch one:
% 46.68/15.98  																																		| (546) all_0_80_80 = e2
% 46.68/15.98  																																		|
% 46.68/15.98  																																			| Equations (546) can reduce 394 to:
% 46.68/15.98  																																			| (311) $false
% 46.68/15.98  																																			|
% 46.68/15.98  																																			|-The branch is then unsatisfiable
% 46.68/15.98  																																		|-Branch two:
% 46.68/15.98  																																		| (394)  ~ (all_0_80_80 = e2)
% 46.68/15.98  																																		| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.68/15.98  																																		|
% 46.68/15.98  																																			+-Applying beta-rule and splitting (106), into two cases.
% 46.68/15.98  																																			|-Branch one:
% 46.68/15.98  																																			| (771) all_0_78_78 = e3
% 46.68/15.98  																																			|
% 46.68/15.98  																																				| Combining equations (771,400) yields a new equation:
% 46.68/15.98  																																				| (547) e3 = e2
% 46.68/15.98  																																				|
% 46.68/15.98  																																				| Simplifying 547 yields:
% 46.68/15.98  																																				| (548) e3 = e2
% 46.68/15.98  																																				|
% 46.68/15.98  																																				| Equations (548) can reduce 169 to:
% 46.68/15.98  																																				| (311) $false
% 46.68/15.98  																																				|
% 46.68/15.98  																																				|-The branch is then unsatisfiable
% 46.68/15.98  																																			|-Branch two:
% 46.68/15.98  																																			| (418)  ~ (all_0_78_78 = e3)
% 46.68/15.98  																																			| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.98  																																			|
% 46.68/15.98  																																				+-Applying beta-rule and splitting (3232), into two cases.
% 46.68/15.98  																																				|-Branch one:
% 46.68/15.98  																																				| (824) all_0_80_80 = e1
% 46.68/15.98  																																				|
% 46.68/15.98  																																					| Equations (824) can reduce 828 to:
% 46.68/15.98  																																					| (311) $false
% 46.68/15.98  																																					|
% 46.68/15.98  																																					|-The branch is then unsatisfiable
% 46.68/15.98  																																				|-Branch two:
% 46.68/15.98  																																				| (828)  ~ (all_0_80_80 = e1)
% 46.68/15.98  																																				| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.68/15.98  																																				|
% 46.68/15.98  																																					+-Applying beta-rule and splitting (1756), into two cases.
% 46.68/15.98  																																					|-Branch one:
% 46.68/15.98  																																					| (1708) all_0_79_79 = e3
% 46.68/15.98  																																					|
% 46.68/15.98  																																						| Combining equations (1708,457) yields a new equation:
% 46.68/15.98  																																						| (825) e3 = e1
% 46.68/15.98  																																						|
% 46.68/15.98  																																						| Simplifying 825 yields:
% 46.68/15.98  																																						| (772) e3 = e1
% 46.68/15.98  																																						|
% 46.68/15.98  																																						| Equations (772) can reduce 20 to:
% 46.68/15.98  																																						| (311) $false
% 46.68/15.98  																																						|
% 46.68/15.98  																																						|-The branch is then unsatisfiable
% 46.68/15.98  																																					|-Branch two:
% 46.68/15.98  																																					| (1711)  ~ (all_0_79_79 = e3)
% 46.68/15.98  																																					| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.68/15.98  																																					|
% 46.68/15.98  																																						+-Applying beta-rule and splitting (4018), into two cases.
% 46.68/15.98  																																						|-Branch one:
% 46.68/15.98  																																						| (416) all_0_80_80 = e3
% 46.68/15.98  																																						|
% 46.68/15.98  																																							| Equations (416) can reduce 2347 to:
% 46.68/15.98  																																							| (311) $false
% 46.68/15.98  																																							|
% 46.68/15.98  																																							|-The branch is then unsatisfiable
% 46.68/15.98  																																						|-Branch two:
% 46.68/15.98  																																						| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.98  																																						| (433) all_0_80_80 = e4
% 46.68/15.98  																																						|
% 46.68/15.98  																																							| Equations (433) can reduce 2347 to:
% 46.68/15.98  																																							| (177)  ~ (e4 = e3)
% 46.68/15.98  																																							|
% 46.68/15.98  																																							+-Applying beta-rule and splitting (1768), into two cases.
% 46.68/15.98  																																							|-Branch one:
% 46.68/15.98  																																							| (416) all_0_80_80 = e3
% 46.68/15.98  																																							|
% 46.68/15.98  																																								| Combining equations (416,433) yields a new equation:
% 46.68/15.98  																																								| (434) e4 = e3
% 46.68/15.98  																																								|
% 46.68/15.98  																																								| Equations (434) can reduce 177 to:
% 46.68/15.98  																																								| (311) $false
% 46.68/15.98  																																								|
% 46.68/15.98  																																								|-The branch is then unsatisfiable
% 46.68/15.98  																																							|-Branch two:
% 46.68/15.98  																																							| (2347)  ~ (all_0_80_80 = e3)
% 46.68/15.98  																																							| (635) all_0_81_81 = e3
% 46.68/15.98  																																							|
% 46.68/15.98  																																								| Equations (635) can reduce 5 to:
% 46.68/15.98  																																								| (1518)  ~ (all_0_98_98 = e3)
% 46.68/15.98  																																								|
% 46.68/15.98  																																								| Simplifying 1518 yields:
% 46.68/15.98  																																								| (1519)  ~ (all_0_98_98 = e3)
% 46.68/15.98  																																								|
% 46.68/15.98  																																								| From (635) and (19338) follows:
% 46.68/15.98  																																								| (19344) op(e0, e3) = e4
% 46.68/15.98  																																								|
% 46.68/15.98  																																								+-Applying beta-rule and splitting (48), into two cases.
% 46.68/15.98  																																								|-Branch one:
% 46.68/15.98  																																								| (525) all_0_98_98 = e2
% 46.68/15.98  																																								|
% 46.68/15.98  																																									| Equations (525) can reduce 1349 to:
% 46.68/15.98  																																									| (311) $false
% 46.68/15.98  																																									|
% 46.68/15.98  																																									|-The branch is then unsatisfiable
% 46.68/15.98  																																								|-Branch two:
% 46.68/15.98  																																								| (1349)  ~ (all_0_98_98 = e2)
% 46.68/15.98  																																								| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.68/15.98  																																								|
% 46.68/15.98  																																									+-Applying beta-rule and splitting (5118), into two cases.
% 46.68/15.98  																																									|-Branch one:
% 46.68/15.98  																																									| (1543) all_0_98_98 = e1
% 46.68/15.98  																																									|
% 46.68/15.98  																																										| Equations (1543) can reduce 1804 to:
% 46.68/15.98  																																										| (311) $false
% 46.68/15.98  																																										|
% 46.68/15.98  																																										|-The branch is then unsatisfiable
% 46.68/15.98  																																									|-Branch two:
% 46.68/15.98  																																									| (1804)  ~ (all_0_98_98 = e1)
% 46.68/15.98  																																									| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.68/15.98  																																									|
% 46.68/15.98  																																										+-Applying beta-rule and splitting (5122), into two cases.
% 46.68/15.98  																																										|-Branch one:
% 46.68/15.98  																																										| (969) all_0_98_98 = e3
% 46.68/15.98  																																										|
% 46.68/15.98  																																											| Equations (969) can reduce 1519 to:
% 46.68/15.98  																																											| (311) $false
% 46.68/15.98  																																											|
% 46.68/15.98  																																											|-The branch is then unsatisfiable
% 46.68/15.98  																																										|-Branch two:
% 46.68/15.98  																																										| (1519)  ~ (all_0_98_98 = e3)
% 46.68/15.98  																																										| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.68/15.98  																																										|
% 46.68/15.98  																																											+-Applying beta-rule and splitting (5284), into two cases.
% 46.68/15.98  																																											|-Branch one:
% 46.68/15.98  																																											| (1121) all_0_98_98 = e0
% 46.68/15.98  																																											|
% 46.68/15.98  																																												| Equations (1121) can reduce 2059 to:
% 46.68/15.98  																																												| (311) $false
% 46.68/15.98  																																												|
% 46.68/15.98  																																												|-The branch is then unsatisfiable
% 46.68/15.98  																																											|-Branch two:
% 46.68/15.98  																																											| (2059)  ~ (all_0_98_98 = e0)
% 46.68/15.98  																																											| (2650) all_0_98_98 = e4
% 46.68/15.98  																																											|
% 46.68/15.98  																																												| Equations (2650) can reduce 107 to:
% 46.68/15.98  																																												| (315)  ~ (all_0_95_95 = e4)
% 46.68/15.98  																																												|
% 46.68/15.98  																																												| Instantiating formula (262) with e0, e3, e4, all_0_95_95 and discharging atoms op(e0, e3) = all_0_95_95, op(e0, e3) = e4, yields:
% 46.68/15.98  																																												| (894) all_0_95_95 = e4
% 46.68/15.98  																																												|
% 46.68/15.98  																																												| Equations (894) can reduce 315 to:
% 46.68/15.98  																																												| (311) $false
% 46.68/15.98  																																												|
% 46.68/15.98  																																												|-The branch is then unsatisfiable
% 46.68/15.99  																																	|-Branch two:
% 46.68/15.99  																																	| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.99  																																	| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.68/15.99  																																	|
% 46.68/15.99  																																		+-Applying beta-rule and splitting (1268), into two cases.
% 46.68/15.99  																																		|-Branch one:
% 46.68/15.99  																																		| (916) all_0_84_84 = e0
% 46.68/15.99  																																		|
% 46.68/15.99  																																			| Equations (916) can reduce 919 to:
% 46.68/15.99  																																			| (311) $false
% 46.68/15.99  																																			|
% 46.68/15.99  																																			|-The branch is then unsatisfiable
% 46.68/15.99  																																		|-Branch two:
% 46.68/15.99  																																		| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.99  																																		| (438) all_0_84_84 = e4
% 46.68/15.99  																																		|
% 46.68/15.99  																																			| Equations (438) can reduce 417 to:
% 46.68/15.99  																																			| (311) $false
% 46.68/15.99  																																			|
% 46.68/15.99  																																			|-The branch is then unsatisfiable
% 46.68/15.99  																															|-Branch two:
% 46.68/15.99  																															| (465)  ~ (all_0_82_82 = e4)
% 46.68/15.99  																															| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.68/15.99  																															|
% 46.68/15.99  																																+-Applying beta-rule and splitting (2205), into two cases.
% 46.68/15.99  																																|-Branch one:
% 46.68/15.99  																																| (789) all_0_82_82 = e3
% 46.68/15.99  																																|
% 46.68/15.99  																																	| Equations (789) can reduce 7 to:
% 46.68/15.99  																																	| (421)  ~ (all_0_84_84 = e3)
% 46.68/15.99  																																	|
% 46.68/15.99  																																	| Simplifying 421 yields:
% 46.68/15.99  																																	| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.99  																																	|
% 46.68/15.99  																																	| Equations (789) can reduce 255 to:
% 46.68/15.99  																																	| (1815)  ~ (all_0_90_90 = e3)
% 46.68/15.99  																																	|
% 46.68/15.99  																																	| Simplifying 1815 yields:
% 46.68/15.99  																																	| (745)  ~ (all_0_90_90 = e3)
% 46.68/15.99  																																	|
% 46.68/15.99  																																	+-Applying beta-rule and splitting (92), into two cases.
% 46.68/15.99  																																	|-Branch one:
% 46.68/15.99  																																	| (552) all_0_84_84 = e2
% 46.68/15.99  																																	|
% 46.68/15.99  																																		| Equations (552) can reduce 612 to:
% 46.68/15.99  																																		| (311) $false
% 46.68/15.99  																																		|
% 46.68/15.99  																																		|-The branch is then unsatisfiable
% 46.68/15.99  																																	|-Branch two:
% 46.68/15.99  																																	| (612)  ~ (all_0_84_84 = e2)
% 46.68/15.99  																																	| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.68/15.99  																																	|
% 46.68/15.99  																																		+-Applying beta-rule and splitting (617), into two cases.
% 46.68/15.99  																																		|-Branch one:
% 46.68/15.99  																																		| (1265) all_0_84_84 = e3
% 46.68/15.99  																																		|
% 46.68/15.99  																																			| Equations (1265) can reduce 422 to:
% 46.68/15.99  																																			| (311) $false
% 46.68/15.99  																																			|
% 46.68/15.99  																																			|-The branch is then unsatisfiable
% 46.68/15.99  																																		|-Branch two:
% 46.68/15.99  																																		| (422)  ~ (all_0_84_84 = e3)
% 46.68/15.99  																																		| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.68/15.99  																																		|
% 46.68/15.99  																																			+-Applying beta-rule and splitting (1268), into two cases.
% 46.68/15.99  																																			|-Branch one:
% 46.68/15.99  																																			| (916) all_0_84_84 = e0
% 46.68/15.99  																																			|
% 46.68/15.99  																																				| Equations (916) can reduce 919 to:
% 46.68/15.99  																																				| (311) $false
% 46.68/15.99  																																				|
% 46.68/15.99  																																				|-The branch is then unsatisfiable
% 46.68/15.99  																																			|-Branch two:
% 46.68/15.99  																																			| (919)  ~ (all_0_84_84 = e0)
% 46.68/15.99  																																			| (438) all_0_84_84 = e4
% 46.68/15.99  																																			|
% 46.68/15.99  																																				| Equations (438) can reduce 273 to:
% 46.68/15.99  																																				| (436)  ~ (all_0_80_80 = e4)
% 46.68/15.99  																																				|
% 46.68/15.99  																																				| From (438) and (150) follows:
% 46.68/15.99  																																				| (10441) op(e3, e4) = all_0_63_63
% 46.68/15.99  																																				|
% 46.68/15.99  																																				+-Applying beta-rule and splitting (45), into two cases.
% 46.68/15.99  																																				|-Branch one:
% 46.68/15.99  																																				| (546) all_0_80_80 = e2
% 46.68/15.99  																																				|
% 46.68/15.99  																																					| Equations (546) can reduce 394 to:
% 46.68/15.99  																																					| (311) $false
% 46.68/15.99  																																					|
% 46.68/15.99  																																					|-The branch is then unsatisfiable
% 46.68/15.99  																																				|-Branch two:
% 46.68/15.99  																																				| (394)  ~ (all_0_80_80 = e2)
% 46.68/15.99  																																				| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.68/15.99  																																				|
% 46.68/15.99  																																					+-Applying beta-rule and splitting (3232), into two cases.
% 46.68/15.99  																																					|-Branch one:
% 46.68/15.99  																																					| (824) all_0_80_80 = e1
% 46.68/15.99  																																					|
% 46.68/15.99  																																						| Equations (824) can reduce 828 to:
% 46.68/15.99  																																						| (311) $false
% 46.68/15.99  																																						|
% 46.68/15.99  																																						|-The branch is then unsatisfiable
% 46.68/15.99  																																					|-Branch two:
% 46.68/15.99  																																					| (828)  ~ (all_0_80_80 = e1)
% 46.68/15.99  																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.68/15.99  																																					|
% 46.68/15.99  																																						+-Applying beta-rule and splitting (4018), into two cases.
% 46.68/15.99  																																						|-Branch one:
% 46.68/15.99  																																						| (416) all_0_80_80 = e3
% 46.68/15.99  																																						|
% 46.68/15.99  																																							| Equations (416) can reduce 144 to:
% 46.76/15.99  																																							| (419)  ~ (all_0_81_81 = e3)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Simplifying 419 yields:
% 46.76/15.99  																																							| (420)  ~ (all_0_81_81 = e3)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Equations (416) can reduce 49 to:
% 46.76/15.99  																																							| (425)  ~ (all_0_92_92 = e3)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Simplifying 425 yields:
% 46.76/15.99  																																							| (426)  ~ (all_0_92_92 = e3)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Equations (416) can reduce 394 to:
% 46.76/15.99  																																							| (169)  ~ (e3 = e2)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Equations (416) can reduce 828 to:
% 46.76/15.99  																																							| (20)  ~ (e3 = e1)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							| Equations (416) can reduce 166 to:
% 46.76/15.99  																																							| (50)  ~ (e3 = e0)
% 46.76/15.99  																																							|
% 46.76/15.99  																																							+-Applying beta-rule and splitting (250), into two cases.
% 46.76/15.99  																																							|-Branch one:
% 46.76/15.99  																																							| (635) all_0_81_81 = e3
% 46.76/15.99  																																							|
% 46.76/15.99  																																								| Equations (635) can reduce 420 to:
% 46.76/15.99  																																								| (311) $false
% 46.76/15.99  																																								|
% 46.76/15.99  																																								|-The branch is then unsatisfiable
% 46.76/15.99  																																							|-Branch two:
% 46.76/15.99  																																							| (420)  ~ (all_0_81_81 = e3)
% 46.76/15.99  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.76/15.99  																																							|
% 46.76/15.99  																																								+-Applying beta-rule and splitting (282), into two cases.
% 46.76/15.99  																																								|-Branch one:
% 46.76/15.99  																																								| (754) all_0_90_90 = e3
% 46.76/15.99  																																								|
% 46.76/15.99  																																									| Equations (754) can reduce 745 to:
% 46.76/15.99  																																									| (311) $false
% 46.76/15.99  																																									|
% 46.76/15.99  																																									|-The branch is then unsatisfiable
% 46.76/15.99  																																								|-Branch two:
% 46.76/15.99  																																								| (745)  ~ (all_0_90_90 = e3)
% 46.76/15.99  																																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.76/15.99  																																								|
% 46.76/15.99  																																									+-Applying beta-rule and splitting (849), into two cases.
% 46.76/15.99  																																									|-Branch one:
% 46.76/15.99  																																									| (588) all_0_91_91 = e3
% 46.76/15.99  																																									|
% 46.76/15.99  																																										| Equations (588) can reduce 265 to:
% 46.76/15.99  																																										| (425)  ~ (all_0_92_92 = e3)
% 46.76/15.99  																																										|
% 46.76/15.99  																																										| Simplifying 425 yields:
% 46.76/15.99  																																										| (426)  ~ (all_0_92_92 = e3)
% 46.76/15.99  																																										|
% 46.76/15.99  																																										| Equations (588) can reduce 296 to:
% 46.76/15.99  																																										| (169)  ~ (e3 = e2)
% 46.76/15.99  																																										|
% 46.76/15.99  																																										| Equations (588) can reduce 959 to:
% 46.76/15.99  																																										| (20)  ~ (e3 = e1)
% 46.76/15.99  																																										|
% 46.76/15.99  																																										+-Applying beta-rule and splitting (1455), into two cases.
% 46.76/15.99  																																										|-Branch one:
% 46.76/15.99  																																										| (1456) all_0_91_91 = e0
% 46.76/15.99  																																										|
% 46.76/15.99  																																											| Combining equations (588,1456) yields a new equation:
% 46.76/15.99  																																											| (599) e3 = e0
% 46.76/15.99  																																											|
% 46.76/15.99  																																											| Simplifying 599 yields:
% 46.76/15.99  																																											| (600) e3 = e0
% 46.76/15.99  																																											|
% 46.76/15.99  																																											| Equations (600) can reduce 50 to:
% 46.76/15.99  																																											| (311) $false
% 46.76/15.99  																																											|
% 46.76/15.99  																																											|-The branch is then unsatisfiable
% 46.76/15.99  																																										|-Branch two:
% 46.76/15.99  																																										| (1487)  ~ (all_0_91_91 = e0)
% 46.76/15.99  																																										| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.76/15.99  																																										|
% 46.76/15.99  																																											+-Applying beta-rule and splitting (84), into two cases.
% 46.76/15.99  																																											|-Branch one:
% 46.76/15.99  																																											| (1704) all_0_96_96 = e2
% 46.76/15.99  																																											|
% 46.76/15.99  																																												| Equations (1704) can reduce 1638 to:
% 46.76/15.99  																																												| (311) $false
% 46.76/15.99  																																												|
% 46.76/15.99  																																												|-The branch is then unsatisfiable
% 46.76/15.99  																																											|-Branch two:
% 46.76/15.99  																																											| (1638)  ~ (all_0_96_96 = e2)
% 46.76/15.99  																																											| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.76/15.99  																																											|
% 46.76/15.99  																																												+-Applying beta-rule and splitting (1488), into two cases.
% 46.76/15.99  																																												|-Branch one:
% 46.76/15.99  																																												| (942) all_0_92_92 = e0
% 46.76/15.99  																																												|
% 46.76/15.99  																																													| Equations (942) can reduce 426 to:
% 46.76/15.99  																																													| (906)  ~ (e3 = e0)
% 46.76/15.99  																																													|
% 46.76/15.99  																																													| Simplifying 906 yields:
% 46.76/15.99  																																													| (50)  ~ (e3 = e0)
% 46.76/15.99  																																													|
% 46.76/15.99  																																													+-Applying beta-rule and splitting (102), into two cases.
% 46.76/15.99  																																													|-Branch one:
% 46.76/15.99  																																													| (858) all_0_95_95 = e0
% 46.76/15.99  																																													|
% 46.76/15.99  																																														| Equations (858) can reduce 893 to:
% 46.76/15.99  																																														| (311) $false
% 46.76/15.99  																																														|
% 46.76/15.99  																																														|-The branch is then unsatisfiable
% 46.76/15.99  																																													|-Branch two:
% 46.76/15.99  																																													| (893)  ~ (all_0_95_95 = e0)
% 46.76/15.99  																																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.76/15.99  																																													|
% 46.76/15.99  																																														+-Applying beta-rule and splitting (132), into two cases.
% 46.76/15.99  																																														|-Branch one:
% 46.76/15.99  																																														| (750) all_0_90_90 = e1
% 46.76/15.99  																																														|
% 46.76/15.99  																																															| Equations (750) can reduce 229 to:
% 46.76/15.99  																																															| (679)  ~ (all_0_95_95 = e1)
% 46.76/15.99  																																															|
% 46.76/15.99  																																															| Simplifying 679 yields:
% 46.76/15.99  																																															| (680)  ~ (all_0_95_95 = e1)
% 46.76/15.99  																																															|
% 46.76/15.99  																																															| Equations (750) can reduce 294 to:
% 46.76/15.99  																																															| (487)  ~ (e2 = e1)
% 46.76/15.99  																																															|
% 46.76/15.99  																																															| Simplifying 487 yields:
% 46.76/15.99  																																															| (243)  ~ (e2 = e1)
% 46.76/15.99  																																															|
% 46.76/15.99  																																															+-Applying beta-rule and splitting (176), into two cases.
% 46.76/15.99  																																															|-Branch one:
% 46.76/15.99  																																															| (785) all_0_95_95 = e1
% 46.76/15.99  																																															|
% 46.76/15.99  																																																| Equations (785) can reduce 680 to:
% 46.76/15.99  																																																| (311) $false
% 46.76/15.99  																																																|
% 46.76/15.99  																																																|-The branch is then unsatisfiable
% 46.76/15.99  																																															|-Branch two:
% 46.76/15.99  																																															| (680)  ~ (all_0_95_95 = e1)
% 46.76/15.99  																																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.76/15.99  																																															|
% 46.76/15.99  																																																+-Applying beta-rule and splitting (1707), into two cases.
% 46.76/15.99  																																																|-Branch one:
% 46.76/15.99  																																																| (960) all_0_96_96 = e1
% 46.76/15.99  																																																|
% 46.76/15.99  																																																	| Equations (960) can reduce 1479 to:
% 46.76/15.99  																																																	| (311) $false
% 46.76/15.99  																																																	|
% 46.76/15.99  																																																	|-The branch is then unsatisfiable
% 46.76/15.99  																																																|-Branch two:
% 46.76/15.99  																																																| (1479)  ~ (all_0_96_96 = e1)
% 46.76/15.99  																																																| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.76/15.99  																																																|
% 46.76/15.99  																																																	+-Applying beta-rule and splitting (4488), into two cases.
% 46.76/15.99  																																																	|-Branch one:
% 46.76/15.99  																																																	| (804) all_0_85_85 = e3
% 46.76/15.99  																																																	|
% 46.76/15.99  																																																		| Combining equations (954,804) yields a new equation:
% 46.76/15.99  																																																		| (600) e3 = e0
% 46.76/15.99  																																																		|
% 46.76/15.99  																																																		| Equations (600) can reduce 50 to:
% 46.76/15.99  																																																		| (311) $false
% 46.76/15.99  																																																		|
% 46.76/15.99  																																																		|-The branch is then unsatisfiable
% 46.76/15.99  																																																	|-Branch two:
% 46.76/15.99  																																																	| (952)  ~ (all_0_85_85 = e3)
% 46.76/15.99  																																																	| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.76/15.99  																																																	|
% 46.76/15.99  																																																		+-Applying beta-rule and splitting (829), into two cases.
% 46.76/15.99  																																																		|-Branch one:
% 46.76/15.99  																																																		| (482) all_0_87_87 = e1
% 46.76/15.99  																																																		|
% 46.76/15.99  																																																			| Combining equations (482,374) yields a new equation:
% 46.76/15.99  																																																			| (385) e2 = e1
% 46.76/15.99  																																																			|
% 46.76/15.99  																																																			| Equations (385) can reduce 243 to:
% 46.76/15.99  																																																			| (311) $false
% 46.76/15.99  																																																			|
% 46.76/15.99  																																																			|-The branch is then unsatisfiable
% 46.76/15.99  																																																		|-Branch two:
% 46.76/15.99  																																																		| (625)  ~ (all_0_87_87 = e1)
% 46.76/15.99  																																																		| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.76/15.99  																																																		|
% 46.76/15.99  																																																			+-Applying beta-rule and splitting (4559), into two cases.
% 46.76/15.99  																																																			|-Branch one:
% 46.76/15.99  																																																			| (570) all_0_93_93 = e3
% 46.76/15.99  																																																			|
% 46.76/15.99  																																																				| Combining equations (522,570) yields a new equation:
% 46.76/15.99  																																																				| (548) e3 = e2
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																				| Equations (548) can reduce 169 to:
% 46.76/15.99  																																																				| (311) $false
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																				|-The branch is then unsatisfiable
% 46.76/15.99  																																																			|-Branch two:
% 46.76/15.99  																																																			| (602)  ~ (all_0_93_93 = e3)
% 46.76/15.99  																																																			| (969) all_0_98_98 = e3
% 46.76/15.99  																																																			|
% 46.76/15.99  																																																				| Equations (969) can reduce 107 to:
% 46.76/15.99  																																																				| (765)  ~ (all_0_95_95 = e3)
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																				| Equations (969) can reduce 2059 to:
% 46.76/15.99  																																																				| (50)  ~ (e3 = e0)
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																				+-Applying beta-rule and splitting (99), into two cases.
% 46.76/15.99  																																																				|-Branch one:
% 46.76/15.99  																																																				| (767) all_0_95_95 = e2
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																					| Equations (767) can reduce 355 to:
% 46.76/15.99  																																																					| (311) $false
% 46.76/15.99  																																																					|
% 46.76/15.99  																																																					|-The branch is then unsatisfiable
% 46.76/15.99  																																																				|-Branch two:
% 46.76/15.99  																																																				| (355)  ~ (all_0_95_95 = e2)
% 46.76/15.99  																																																				| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.76/15.99  																																																				|
% 46.76/15.99  																																																					+-Applying beta-rule and splitting (770), into two cases.
% 46.76/15.99  																																																					|-Branch one:
% 46.76/15.99  																																																					| (785) all_0_95_95 = e1
% 46.76/15.99  																																																					|
% 46.76/15.99  																																																						| Equations (785) can reduce 680 to:
% 46.76/15.99  																																																						| (311) $false
% 46.76/15.99  																																																						|
% 46.76/15.99  																																																						|-The branch is then unsatisfiable
% 46.76/15.99  																																																					|-Branch two:
% 46.76/15.99  																																																					| (680)  ~ (all_0_95_95 = e1)
% 46.76/15.99  																																																					| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.76/15.99  																																																					|
% 46.76/15.99  																																																						+-Applying beta-rule and splitting (853), into two cases.
% 46.76/15.99  																																																						|-Branch one:
% 46.76/15.99  																																																						| (744) all_0_95_95 = e3
% 46.76/15.99  																																																						|
% 46.76/15.99  																																																							| Equations (744) can reduce 765 to:
% 46.76/15.99  																																																							| (311) $false
% 46.76/15.99  																																																							|
% 46.76/15.99  																																																							|-The branch is then unsatisfiable
% 46.76/15.99  																																																						|-Branch two:
% 46.76/15.99  																																																						| (765)  ~ (all_0_95_95 = e3)
% 46.76/15.99  																																																						| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.76/15.99  																																																						|
% 46.76/15.99  																																																							+-Applying beta-rule and splitting (857), into two cases.
% 46.76/15.99  																																																							|-Branch one:
% 46.76/15.99  																																																							| (858) all_0_95_95 = e0
% 46.76/15.99  																																																							|
% 46.76/15.99  																																																								| Equations (858) can reduce 893 to:
% 46.76/15.99  																																																								| (311) $false
% 46.76/15.99  																																																								|
% 46.76/15.99  																																																								|-The branch is then unsatisfiable
% 46.76/15.99  																																																							|-Branch two:
% 46.76/15.99  																																																							| (893)  ~ (all_0_95_95 = e0)
% 46.76/15.99  																																																							| (894) all_0_95_95 = e4
% 46.76/15.99  																																																							|
% 46.76/15.99  																																																								| From (894) and (976) follows:
% 46.76/15.99  																																																								| (35438) op(e3, e4) = e0
% 46.76/15.99  																																																								|
% 46.76/15.99  																																																								+-Applying beta-rule and splitting (112), into two cases.
% 46.76/15.99  																																																								|-Branch one:
% 46.76/15.99  																																																								| (538) all_0_97_97 = e2
% 46.76/15.99  																																																								|
% 46.76/15.99  																																																									| Equations (538) can reduce 527 to:
% 46.76/15.99  																																																									| (311) $false
% 46.76/15.99  																																																									|
% 46.76/15.99  																																																									|-The branch is then unsatisfiable
% 46.76/15.99  																																																								|-Branch two:
% 46.76/15.99  																																																								| (527)  ~ (all_0_97_97 = e2)
% 46.76/15.99  																																																								| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.76/15.99  																																																								|
% 46.76/15.99  																																																									+-Applying beta-rule and splitting (1400), into two cases.
% 46.76/15.99  																																																									|-Branch one:
% 46.76/15.99  																																																									| (1456) all_0_91_91 = e0
% 46.76/15.99  																																																									|
% 46.76/15.99  																																																										| Combining equations (588,1456) yields a new equation:
% 46.76/15.99  																																																										| (599) e3 = e0
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										| Simplifying 599 yields:
% 46.76/15.99  																																																										| (600) e3 = e0
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										| Equations (600) can reduce 50 to:
% 46.76/15.99  																																																										| (311) $false
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										|-The branch is then unsatisfiable
% 46.76/15.99  																																																									|-Branch two:
% 46.76/15.99  																																																									| (1487)  ~ (all_0_91_91 = e0)
% 46.76/15.99  																																																									| (1837) all_0_96_96 = e0
% 46.76/15.99  																																																									|
% 46.76/15.99  																																																										| Equations (1837) can reduce 22 to:
% 46.76/15.99  																																																										| (938)  ~ (all_0_97_97 = e0)
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										| Simplifying 938 yields:
% 46.76/15.99  																																																										| (609)  ~ (all_0_97_97 = e0)
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										| Equations (1837) can reduce 1479 to:
% 46.76/15.99  																																																										| (859)  ~ (e1 = e0)
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										| Simplifying 859 yields:
% 46.76/15.99  																																																										| (264)  ~ (e1 = e0)
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																										+-Applying beta-rule and splitting (541), into two cases.
% 46.76/15.99  																																																										|-Branch one:
% 46.76/15.99  																																																										| (542) all_0_97_97 = e1
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																											| Equations (542) can reduce 609 to:
% 46.76/15.99  																																																											| (264)  ~ (e1 = e0)
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											| Instantiating formula (262) with e3, e4, all_0_63_63, e1 and discharging atoms op(e3, e4) = all_0_63_63, op(e3, e4) = e1, yields:
% 46.76/15.99  																																																											| (10509) all_0_63_63 = e1
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											| Instantiating formula (262) with e3, e4, e0, all_0_63_63 and discharging atoms op(e3, e4) = all_0_63_63, op(e3, e4) = e0, yields:
% 46.76/15.99  																																																											| (4460) all_0_63_63 = e0
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											| Combining equations (10509,4460) yields a new equation:
% 46.76/15.99  																																																											| (1107) e1 = e0
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											| Simplifying 1107 yields:
% 46.76/15.99  																																																											| (865) e1 = e0
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											| Equations (865) can reduce 264 to:
% 46.76/15.99  																																																											| (311) $false
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																											|-The branch is then unsatisfiable
% 46.76/15.99  																																																										|-Branch two:
% 46.76/15.99  																																																										| (486)  ~ (all_0_97_97 = e1)
% 46.76/15.99  																																																										| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 46.76/15.99  																																																										|
% 46.76/15.99  																																																											+-Applying beta-rule and splitting (788), into two cases.
% 46.76/15.99  																																																											|-Branch one:
% 46.76/15.99  																																																											| (960) all_0_96_96 = e1
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																												| Combining equations (1837,960) yields a new equation:
% 46.76/15.99  																																																												| (865) e1 = e0
% 46.76/15.99  																																																												|
% 46.76/15.99  																																																												| Equations (865) can reduce 264 to:
% 46.76/15.99  																																																												| (311) $false
% 46.76/15.99  																																																												|
% 46.76/15.99  																																																												|-The branch is then unsatisfiable
% 46.76/15.99  																																																											|-Branch two:
% 46.76/15.99  																																																											| (1479)  ~ (all_0_96_96 = e1)
% 46.76/15.99  																																																											| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.76/15.99  																																																											|
% 46.76/15.99  																																																												| Equations (1837) can reduce 1479 to:
% 46.76/16.00  																																																												| (859)  ~ (e1 = e0)
% 46.76/16.00  																																																												|
% 46.76/16.00  																																																												| Simplifying 859 yields:
% 46.76/16.00  																																																												| (264)  ~ (e1 = e0)
% 46.76/16.00  																																																												|
% 46.76/16.00  																																																												+-Applying beta-rule and splitting (835), into two cases.
% 46.76/16.00  																																																												|-Branch one:
% 46.76/16.00  																																																												| (836) all_0_92_92 = e1
% 46.76/16.00  																																																												|
% 46.76/16.00  																																																													| Combining equations (836,942) yields a new equation:
% 46.76/16.00  																																																													| (1107) e1 = e0
% 46.76/16.00  																																																													|
% 46.76/16.00  																																																													| Simplifying 1107 yields:
% 46.76/16.00  																																																													| (865) e1 = e0
% 46.76/16.00  																																																													|
% 46.76/16.00  																																																													| Equations (865) can reduce 264 to:
% 46.76/16.00  																																																													| (311) $false
% 46.76/16.00  																																																													|
% 46.76/16.00  																																																													|-The branch is then unsatisfiable
% 46.76/16.00  																																																												|-Branch two:
% 46.76/16.00  																																																												| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.00  																																																												| (542) all_0_97_97 = e1
% 46.76/16.00  																																																												|
% 46.76/16.00  																																																													| Equations (542) can reduce 486 to:
% 46.76/16.00  																																																													| (311) $false
% 46.76/16.00  																																																													|
% 46.76/16.00  																																																													|-The branch is then unsatisfiable
% 46.76/16.00  																																														|-Branch two:
% 46.76/16.00  																																														| (678)  ~ (all_0_90_90 = e1)
% 46.76/16.00  																																														| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.76/16.00  																																														|
% 46.76/16.00  																																															+-Applying beta-rule and splitting (188), into two cases.
% 46.76/16.00  																																															|-Branch one:
% 46.76/16.00  																																															| (676) all_0_78_78 = e1
% 46.76/16.00  																																															|
% 46.76/16.00  																																																| Combining equations (400,676) yields a new equation:
% 46.76/16.00  																																																| (408) e2 = e1
% 46.76/16.00  																																																|
% 46.76/16.00  																																																| Simplifying 408 yields:
% 46.76/16.00  																																																| (385) e2 = e1
% 46.76/16.00  																																																|
% 46.76/16.00  																																																| Equations (385) can reduce 243 to:
% 46.76/16.00  																																																| (311) $false
% 46.76/16.00  																																																|
% 46.76/16.00  																																																|-The branch is then unsatisfiable
% 46.76/16.00  																																															|-Branch two:
% 46.76/16.00  																																															| (1601)  ~ (all_0_78_78 = e1)
% 46.76/16.00  																																															| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.76/16.00  																																															|
% 46.76/16.00  																																																| Equations (400) can reduce 1601 to:
% 46.76/16.00  																																																| (243)  ~ (e2 = e1)
% 46.76/16.00  																																																|
% 46.76/16.00  																																																+-Applying beta-rule and splitting (1526), into two cases.
% 46.76/16.00  																																																|-Branch one:
% 46.76/16.00  																																																| (801) all_0_91_91 = e1
% 46.76/16.00  																																																|
% 46.76/16.00  																																																	| Combining equations (588,801) yields a new equation:
% 46.76/16.00  																																																	| (825) e3 = e1
% 46.76/16.00  																																																	|
% 46.76/16.00  																																																	| Simplifying 825 yields:
% 46.76/16.00  																																																	| (772) e3 = e1
% 46.76/16.00  																																																	|
% 46.76/16.00  																																																	| Equations (772) can reduce 20 to:
% 46.76/16.00  																																																	| (311) $false
% 46.76/16.00  																																																	|
% 46.76/16.00  																																																	|-The branch is then unsatisfiable
% 46.76/16.00  																																																|-Branch two:
% 46.76/16.00  																																																| (959)  ~ (all_0_91_91 = e1)
% 46.76/16.00  																																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.76/16.00  																																																|
% 46.76/16.00  																																																	+-Applying beta-rule and splitting (1556), into two cases.
% 46.76/16.00  																																																	|-Branch one:
% 46.76/16.00  																																																	| (836) all_0_92_92 = e1
% 46.76/16.00  																																																	|
% 46.76/16.00  																																																		| Combining equations (836,942) yields a new equation:
% 46.76/16.00  																																																		| (1107) e1 = e0
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		| Simplifying 1107 yields:
% 46.76/16.00  																																																		| (865) e1 = e0
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		| Equations (865) can reduce 264 to:
% 46.76/16.00  																																																		| (311) $false
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		|-The branch is then unsatisfiable
% 46.76/16.00  																																																	|-Branch two:
% 46.76/16.00  																																																	| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.00  																																																	| (566) all_0_93_93 = e1
% 46.76/16.00  																																																	|
% 46.76/16.00  																																																		| Combining equations (522,566) yields a new equation:
% 46.76/16.00  																																																		| (408) e2 = e1
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		| Simplifying 408 yields:
% 46.76/16.00  																																																		| (385) e2 = e1
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		| Equations (385) can reduce 243 to:
% 46.76/16.00  																																																		| (311) $false
% 46.76/16.00  																																																		|
% 46.76/16.00  																																																		|-The branch is then unsatisfiable
% 46.76/16.00  																																												|-Branch two:
% 46.76/16.00  																																												| (946)  ~ (all_0_92_92 = e0)
% 46.76/16.00  																																												| (604) all_0_93_93 = e0
% 46.76/16.00  																																												|
% 46.76/16.00  																																													| Combining equations (522,604) yields a new equation:
% 46.76/16.00  																																													| (923) e2 = e0
% 46.76/16.00  																																													|
% 46.76/16.00  																																													| Simplifying 923 yields:
% 46.76/16.00  																																													| (379) e2 = e0
% 46.76/16.00  																																													|
% 46.76/16.00  																																													| Equations (379) can reduce 76 to:
% 46.76/16.00  																																													| (311) $false
% 46.76/16.00  																																													|
% 46.76/16.00  																																													|-The branch is then unsatisfiable
% 46.76/16.00  																																									|-Branch two:
% 46.76/16.00  																																									| (571)  ~ (all_0_91_91 = e3)
% 46.76/16.00  																																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.76/16.00  																																									|
% 46.76/16.00  																																										+-Applying beta-rule and splitting (285), into two cases.
% 46.76/16.00  																																										|-Branch one:
% 46.76/16.00  																																										| (1708) all_0_79_79 = e3
% 46.76/16.00  																																										|
% 46.76/16.00  																																											| Combining equations (1708,457) yields a new equation:
% 46.76/16.00  																																											| (825) e3 = e1
% 46.76/16.00  																																											|
% 46.76/16.00  																																											| Simplifying 825 yields:
% 46.76/16.00  																																											| (772) e3 = e1
% 46.76/16.00  																																											|
% 46.76/16.00  																																											| Equations (772) can reduce 20 to:
% 46.76/16.00  																																											| (311) $false
% 46.76/16.00  																																											|
% 46.76/16.00  																																											|-The branch is then unsatisfiable
% 46.76/16.00  																																										|-Branch two:
% 46.76/16.00  																																										| (1711)  ~ (all_0_79_79 = e3)
% 46.76/16.00  																																										| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 46.76/16.00  																																										|
% 46.76/16.00  																																											+-Applying beta-rule and splitting (1712), into two cases.
% 46.76/16.00  																																											|-Branch one:
% 46.76/16.00  																																											| (795) all_0_83_83 = e3
% 46.76/16.00  																																											|
% 46.76/16.00  																																												| Combining equations (453,795) yields a new equation:
% 46.76/16.00  																																												| (548) e3 = e2
% 46.76/16.00  																																												|
% 46.76/16.00  																																												| Equations (548) can reduce 169 to:
% 46.76/16.00  																																												| (311) $false
% 46.76/16.00  																																												|
% 46.76/16.00  																																												|-The branch is then unsatisfiable
% 46.76/16.00  																																											|-Branch two:
% 46.76/16.00  																																											| (779)  ~ (all_0_83_83 = e3)
% 46.76/16.00  																																											| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 46.76/16.00  																																											|
% 46.76/16.00  																																												| Equations (453) can reduce 779 to:
% 46.76/16.00  																																												| (356)  ~ (e3 = e2)
% 46.76/16.00  																																												|
% 46.76/16.00  																																												| Simplifying 356 yields:
% 46.76/16.00  																																												| (169)  ~ (e3 = e2)
% 46.76/16.00  																																												|
% 46.76/16.00  																																												+-Applying beta-rule and splitting (881), into two cases.
% 46.76/16.00  																																												|-Branch one:
% 46.76/16.00  																																												| (882) all_0_92_92 = e3
% 46.76/16.00  																																												|
% 46.76/16.00  																																													| Equations (882) can reduce 426 to:
% 46.76/16.00  																																													| (311) $false
% 46.76/16.00  																																													|
% 46.76/16.00  																																													|-The branch is then unsatisfiable
% 46.76/16.00  																																												|-Branch two:
% 46.76/16.00  																																												| (426)  ~ (all_0_92_92 = e3)
% 46.76/16.00  																																												| (570) all_0_93_93 = e3
% 46.76/16.00  																																												|
% 46.76/16.00  																																													| Combining equations (522,570) yields a new equation:
% 46.76/16.00  																																													| (548) e3 = e2
% 46.76/16.00  																																													|
% 46.76/16.00  																																													| Equations (548) can reduce 169 to:
% 46.76/16.00  																																													| (311) $false
% 46.76/16.00  																																													|
% 46.76/16.00  																																													|-The branch is then unsatisfiable
% 46.76/16.00  																																						|-Branch two:
% 46.76/16.00  																																						| (2347)  ~ (all_0_80_80 = e3)
% 46.76/16.00  																																						| (433) all_0_80_80 = e4
% 46.76/16.00  																																						|
% 46.76/16.00  																																							| Equations (433) can reduce 436 to:
% 46.76/16.00  																																							| (311) $false
% 46.76/16.00  																																							|
% 46.76/16.00  																																							|-The branch is then unsatisfiable
% 46.76/16.00  																																|-Branch two:
% 46.76/16.00  																																| (793)  ~ (all_0_82_82 = e3)
% 46.76/16.00  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.76/16.00  																																|
% 46.76/16.00  																																	+-Applying beta-rule and splitting (2706), into two cases.
% 46.76/16.00  																																	|-Branch one:
% 46.76/16.00  																																	| (910) all_0_82_82 = e0
% 46.76/16.00  																																	|
% 46.76/16.00  																																		| Equations (910) can reduce 914 to:
% 46.76/16.00  																																		| (311) $false
% 46.76/16.00  																																		|
% 46.76/16.00  																																		|-The branch is then unsatisfiable
% 46.76/16.00  																																	|-Branch two:
% 46.76/16.00  																																	| (914)  ~ (all_0_82_82 = e0)
% 46.76/16.00  																																	| (469) all_0_82_82 = e4
% 46.76/16.00  																																	|
% 46.76/16.00  																																		| Equations (469) can reduce 465 to:
% 46.76/16.00  																																		| (311) $false
% 46.76/16.00  																																		|
% 46.76/16.00  																																		|-The branch is then unsatisfiable
% 46.76/16.00  																														|-Branch two:
% 46.76/16.00  																														| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.76/16.00  																														|
% 46.76/16.00  																															| Applying alpha-rule on (1379) yields:
% 46.76/16.00  																															| (1380) all_0_71_71 = e3
% 46.76/16.00  																															| (1381)  ~ (all_0_72_72 = e0)
% 46.76/16.00  																															|
% 46.76/16.00  																															| Equations (10076) can reduce 1381 to:
% 46.76/16.00  																															| (311) $false
% 46.76/16.00  																															|
% 46.76/16.00  																															|-The branch is then unsatisfiable
% 46.76/16.00  																													|-Branch two:
% 46.76/16.00  																													| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.76/16.00  																													|
% 46.76/16.00  																														| Applying alpha-rule on (1385) yields:
% 46.76/16.00  																														| (1386) all_0_73_73 = e2
% 46.76/16.00  																														| (1387)  ~ (all_0_74_74 = e0)
% 46.76/16.00  																														|
% 46.76/16.00  																														| Combining equations (8321,1386) yields a new equation:
% 46.76/16.00  																														| (10159) all_0_97_97 = e2
% 46.76/16.00  																														|
% 46.76/16.00  																														| Simplifying 10159 yields:
% 46.76/16.00  																														| (538) all_0_97_97 = e2
% 46.76/16.00  																														|
% 46.76/16.00  																														| Equations (538) can reduce 527 to:
% 46.76/16.00  																														| (311) $false
% 46.76/16.00  																														|
% 46.76/16.00  																														|-The branch is then unsatisfiable
% 46.76/16.00  																												|-Branch two:
% 46.76/16.00  																												| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.76/16.00  																												|
% 46.76/16.00  																													| Applying alpha-rule on (1391) yields:
% 46.76/16.00  																													| (1392) all_0_75_75 = e1
% 46.76/16.00  																													| (1393)  ~ (all_0_76_76 = e0)
% 46.76/16.00  																													|
% 46.76/16.00  																													| Combining equations (31273,1392) yields a new equation:
% 46.76/16.00  																													| (34301) all_0_96_96 = e1
% 46.76/16.00  																													|
% 46.76/16.00  																													| Simplifying 34301 yields:
% 46.76/16.00  																													| (960) all_0_96_96 = e1
% 46.76/16.00  																													|
% 46.76/16.00  																													| Equations (960) can reduce 1479 to:
% 46.76/16.00  																													| (311) $false
% 46.76/16.00  																													|
% 46.76/16.00  																													|-The branch is then unsatisfiable
% 46.76/16.00  																											|-Branch two:
% 46.76/16.00  																											| (800)  ~ (all_0_85_85 = e0)
% 46.76/16.00  																											| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.76/16.00  																											|
% 46.76/16.00  																												+-Applying beta-rule and splitting (249), into two cases.
% 46.76/16.00  																												|-Branch one:
% 46.76/16.00  																												| (910) all_0_82_82 = e0
% 46.76/16.00  																												|
% 46.76/16.00  																													| Equations (910) can reduce 914 to:
% 46.76/16.00  																													| (311) $false
% 46.76/16.00  																													|
% 46.76/16.00  																													|-The branch is then unsatisfiable
% 46.76/16.00  																												|-Branch two:
% 46.76/16.00  																												| (914)  ~ (all_0_82_82 = e0)
% 46.76/16.00  																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.76/16.00  																												|
% 46.76/16.00  																													+-Applying beta-rule and splitting (1077), into two cases.
% 46.76/16.00  																													|-Branch one:
% 46.76/16.00  																													| (507) all_0_88_88 = e0
% 46.76/16.00  																													|
% 46.76/16.00  																														| Combining equations (504,507) yields a new equation:
% 46.76/16.00  																														| (1107) e1 = e0
% 46.76/16.01  																														|
% 46.76/16.01  																														| Simplifying 1107 yields:
% 46.76/16.01  																														| (865) e1 = e0
% 46.76/16.01  																														|
% 46.76/16.01  																														| Equations (865) can reduce 264 to:
% 46.76/16.01  																														| (311) $false
% 46.76/16.01  																														|
% 46.76/16.01  																														|-The branch is then unsatisfiable
% 46.76/16.01  																													|-Branch two:
% 46.76/16.01  																													| (1110)  ~ (all_0_88_88 = e0)
% 46.76/16.01  																													| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.76/16.01  																													|
% 46.76/16.01  																														+-Applying beta-rule and splitting (1111), into two cases.
% 46.76/16.01  																														|-Branch one:
% 46.76/16.01  																														| (604) all_0_93_93 = e0
% 46.76/16.01  																														|
% 46.76/16.01  																															| Combining equations (522,604) yields a new equation:
% 46.76/16.01  																															| (923) e2 = e0
% 46.76/16.01  																															|
% 46.76/16.01  																															| Simplifying 923 yields:
% 46.76/16.01  																															| (379) e2 = e0
% 46.76/16.01  																															|
% 46.76/16.01  																															| Equations (379) can reduce 76 to:
% 46.76/16.01  																															| (311) $false
% 46.76/16.01  																															|
% 46.76/16.01  																															|-The branch is then unsatisfiable
% 46.76/16.01  																														|-Branch two:
% 46.76/16.01  																														| (509)  ~ (all_0_93_93 = e0)
% 46.76/16.01  																														| (1121) all_0_98_98 = e0
% 46.76/16.01  																														|
% 46.76/16.01  																															| Equations (1121) can reduce 5 to:
% 46.76/16.01  																															| (257)  ~ (all_0_81_81 = e0)
% 46.76/16.01  																															|
% 46.76/16.01  																															| Equations (1121) can reduce 75 to:
% 46.76/16.01  																															| (800)  ~ (all_0_85_85 = e0)
% 46.76/16.01  																															|
% 46.76/16.01  																															| Equations (1121) can reduce 107 to:
% 46.76/16.01  																															| (893)  ~ (all_0_95_95 = e0)
% 46.76/16.01  																															|
% 46.76/16.01  																															| Equations (1121) can reduce 1349 to:
% 46.76/16.01  																															| (510)  ~ (e2 = e0)
% 46.76/16.01  																															|
% 46.76/16.01  																															| Simplifying 510 yields:
% 46.76/16.01  																															| (76)  ~ (e2 = e0)
% 46.76/16.01  																															|
% 46.76/16.01  																															+-Applying beta-rule and splitting (1309), into two cases.
% 46.76/16.01  																															|-Branch one:
% 46.76/16.01  																															| (798) all_0_83_83 = e0
% 46.76/16.01  																															|
% 46.76/16.01  																																| Combining equations (453,798) yields a new equation:
% 46.76/16.01  																																| (923) e2 = e0
% 46.76/16.01  																																|
% 46.76/16.01  																																| Simplifying 923 yields:
% 46.76/16.01  																																| (379) e2 = e0
% 46.76/16.01  																																|
% 46.76/16.01  																																| Equations (379) can reduce 76 to:
% 46.76/16.01  																																| (311) $false
% 46.76/16.01  																																|
% 46.76/16.01  																																|-The branch is then unsatisfiable
% 46.76/16.01  																															|-Branch two:
% 46.76/16.01  																															| (1314)  ~ (all_0_83_83 = e0)
% 46.76/16.01  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.76/16.01  																															|
% 46.76/16.01  																																+-Applying beta-rule and splitting (84), into two cases.
% 46.76/16.01  																																|-Branch one:
% 46.76/16.01  																																| (1704) all_0_96_96 = e2
% 46.76/16.01  																																|
% 46.76/16.01  																																	| Equations (1704) can reduce 1638 to:
% 46.76/16.01  																																	| (311) $false
% 46.76/16.01  																																	|
% 46.76/16.01  																																	|-The branch is then unsatisfiable
% 46.76/16.01  																																|-Branch two:
% 46.76/16.01  																																| (1638)  ~ (all_0_96_96 = e2)
% 46.76/16.01  																																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.76/16.01  																																|
% 46.76/16.01  																																	+-Applying beta-rule and splitting (1315), into two cases.
% 46.76/16.01  																																	|-Branch one:
% 46.76/16.01  																																	| (916) all_0_84_84 = e0
% 46.76/16.01  																																	|
% 46.76/16.01  																																		| Equations (916) can reduce 7 to:
% 46.76/16.01  																																		| (914)  ~ (all_0_82_82 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Equations (916) can reduce 154 to:
% 46.76/16.01  																																		| (799)  ~ (all_0_85_85 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Simplifying 799 yields:
% 46.76/16.01  																																		| (800)  ~ (all_0_85_85 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Equations (916) can reduce 87 to:
% 46.76/16.01  																																		| (2299)  ~ (all_0_92_92 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Simplifying 2299 yields:
% 46.76/16.01  																																		| (946)  ~ (all_0_92_92 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Equations (916) can reduce 195 to:
% 46.76/16.01  																																		| (938)  ~ (all_0_97_97 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Simplifying 938 yields:
% 46.76/16.01  																																		| (609)  ~ (all_0_97_97 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Equations (916) can reduce 612 to:
% 46.76/16.01  																																		| (510)  ~ (e2 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		| Simplifying 510 yields:
% 46.76/16.01  																																		| (76)  ~ (e2 = e0)
% 46.76/16.01  																																		|
% 46.76/16.01  																																		+-Applying beta-rule and splitting (1455), into two cases.
% 46.76/16.01  																																		|-Branch one:
% 46.76/16.01  																																		| (1456) all_0_91_91 = e0
% 46.76/16.01  																																		|
% 46.76/16.01  																																			| Equations (1456) can reduce 103 to:
% 46.76/16.01  																																			| (762)  ~ (all_0_90_90 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Equations (1456) can reduce 64 to:
% 46.76/16.01  																																			| (2296)  ~ (all_0_96_96 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Simplifying 2296 yields:
% 46.76/16.01  																																			| (2095)  ~ (all_0_96_96 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Equations (1456) can reduce 133 to:
% 46.76/16.01  																																			| (904)  ~ (e4 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Simplifying 904 yields:
% 46.76/16.01  																																			| (23)  ~ (e4 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Equations (1456) can reduce 959 to:
% 46.76/16.01  																																			| (859)  ~ (e1 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			| Simplifying 859 yields:
% 46.76/16.01  																																			| (264)  ~ (e1 = e0)
% 46.76/16.01  																																			|
% 46.76/16.01  																																			+-Applying beta-rule and splitting (1707), into two cases.
% 46.76/16.01  																																			|-Branch one:
% 46.76/16.01  																																			| (960) all_0_96_96 = e1
% 46.76/16.01  																																			|
% 46.76/16.01  																																				| Equations (960) can reduce 1479 to:
% 46.76/16.01  																																				| (311) $false
% 46.76/16.01  																																				|
% 46.76/16.01  																																				|-The branch is then unsatisfiable
% 46.76/16.01  																																			|-Branch two:
% 46.76/16.01  																																			| (1479)  ~ (all_0_96_96 = e1)
% 46.76/16.01  																																			| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.76/16.01  																																			|
% 46.76/16.01  																																				+-Applying beta-rule and splitting (2016), into two cases.
% 46.76/16.01  																																				|-Branch one:
% 46.76/16.01  																																				| (778) all_0_96_96 = e3
% 46.76/16.01  																																				|
% 46.76/16.01  																																					| Combining equations (778,31273) yields a new equation:
% 46.76/16.01  																																					| (9862) all_0_75_75 = e3
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (778) can reduce 279 to:
% 46.76/16.01  																																					| (765)  ~ (all_0_95_95 = e3)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (778) can reduce 22 to:
% 46.76/16.01  																																					| (427)  ~ (all_0_97_97 = e3)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Simplifying 427 yields:
% 46.76/16.01  																																					| (428)  ~ (all_0_97_97 = e3)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (778) can reduce 115 to:
% 46.76/16.01  																																					| (783)  ~ (e4 = e3)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Simplifying 783 yields:
% 46.76/16.01  																																					| (177)  ~ (e4 = e3)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (778) can reduce 1638 to:
% 46.76/16.01  																																					| (169)  ~ (e3 = e2)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (778) can reduce 1479 to:
% 46.76/16.01  																																					| (20)  ~ (e3 = e1)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| From (778) and (268) follows:
% 46.76/16.01  																																					| (10600) op(e0, e3) = all_0_59_59
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Instantiating formula (262) with e0, e3, all_0_59_59, all_0_95_95 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_95_95, yields:
% 46.76/16.01  																																					| (34753) all_0_59_59 = all_0_95_95
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| Equations (34753) can reduce 4959 to:
% 46.76/16.01  																																					| (355)  ~ (all_0_95_95 = e2)
% 46.76/16.01  																																					|
% 46.76/16.01  																																					| From (34753) and (10600) follows:
% 46.76/16.01  																																					| (275) op(e0, e3) = all_0_95_95
% 46.76/16.01  																																					|
% 46.76/16.01  																																					+-Applying beta-rule and splitting (109), into two cases.
% 46.76/16.01  																																					|-Branch one:
% 46.76/16.01  																																					| (469) all_0_82_82 = e4
% 46.76/16.01  																																					|
% 46.76/16.01  																																						| Equations (469) can reduce 209 to:
% 46.76/16.01  																																						| (647)  ~ (all_0_85_85 = e4)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						| Simplifying 647 yields:
% 46.76/16.01  																																						| (648)  ~ (all_0_85_85 = e4)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						| Equations (469) can reduce 255 to:
% 46.76/16.01  																																						| (466)  ~ (all_0_90_90 = e4)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						| Simplifying 466 yields:
% 46.76/16.01  																																						| (467)  ~ (all_0_90_90 = e4)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						| Equations (469) can reduce 347 to:
% 46.76/16.01  																																						| (79)  ~ (e4 = e2)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						| Equations (469) can reduce 914 to:
% 46.76/16.01  																																						| (23)  ~ (e4 = e0)
% 46.76/16.01  																																						|
% 46.76/16.01  																																						+-Applying beta-rule and splitting (182), into two cases.
% 46.76/16.01  																																						|-Branch one:
% 46.76/16.01  																																						| (512) all_0_85_85 = e2
% 46.76/16.01  																																						|
% 46.76/16.01  																																							| Equations (512) can reduce 515 to:
% 46.76/16.01  																																							| (311) $false
% 46.76/16.01  																																							|
% 46.76/16.01  																																							|-The branch is then unsatisfiable
% 46.76/16.01  																																						|-Branch two:
% 46.76/16.01  																																						| (515)  ~ (all_0_85_85 = e2)
% 46.76/16.01  																																						| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.76/16.01  																																						|
% 46.76/16.01  																																							+-Applying beta-rule and splitting (220), into two cases.
% 46.76/16.01  																																							|-Branch one:
% 46.76/16.01  																																							| (771) all_0_78_78 = e3
% 46.76/16.01  																																							|
% 46.76/16.01  																																								| Combining equations (771,400) yields a new equation:
% 46.76/16.01  																																								| (547) e3 = e2
% 46.76/16.01  																																								|
% 46.76/16.01  																																								| Simplifying 547 yields:
% 46.76/16.01  																																								| (548) e3 = e2
% 46.76/16.01  																																								|
% 46.76/16.01  																																								| Equations (548) can reduce 169 to:
% 46.76/16.01  																																								| (311) $false
% 46.76/16.01  																																								|
% 46.76/16.01  																																								|-The branch is then unsatisfiable
% 46.76/16.01  																																							|-Branch two:
% 46.76/16.01  																																							| (418)  ~ (all_0_78_78 = e3)
% 46.76/16.01  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.76/16.01  																																							|
% 46.76/16.01  																																								+-Applying beta-rule and splitting (775), into two cases.
% 46.76/16.01  																																								|-Branch one:
% 46.76/16.01  																																								| (789) all_0_82_82 = e3
% 46.76/16.01  																																								|
% 46.76/16.01  																																									| Combining equations (469,789) yields a new equation:
% 46.76/16.01  																																									| (790) e4 = e3
% 46.76/16.01  																																									|
% 46.76/16.01  																																									| Simplifying 790 yields:
% 46.76/16.01  																																									| (434) e4 = e3
% 46.76/16.01  																																									|
% 46.76/16.01  																																									| Equations (434) can reduce 177 to:
% 46.76/16.01  																																									| (311) $false
% 46.76/16.01  																																									|
% 46.76/16.01  																																									|-The branch is then unsatisfiable
% 46.76/16.01  																																								|-Branch two:
% 46.76/16.01  																																								| (793)  ~ (all_0_82_82 = e3)
% 46.76/16.01  																																								| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.76/16.01  																																								|
% 46.76/16.01  																																									+-Applying beta-rule and splitting (794), into two cases.
% 46.76/16.01  																																									|-Branch one:
% 46.76/16.01  																																									| (754) all_0_90_90 = e3
% 46.76/16.01  																																									|
% 46.76/16.01  																																										| Equations (754) can reduce 72 to:
% 46.76/16.01  																																										| (425)  ~ (all_0_92_92 = e3)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										| Simplifying 425 yields:
% 46.76/16.01  																																										| (426)  ~ (all_0_92_92 = e3)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										| Equations (754) can reduce 467 to:
% 46.76/16.01  																																										| (783)  ~ (e4 = e3)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										| Simplifying 783 yields:
% 46.76/16.01  																																										| (177)  ~ (e4 = e3)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										| Equations (754) can reduce 294 to:
% 46.76/16.01  																																										| (169)  ~ (e3 = e2)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										| Equations (754) can reduce 762 to:
% 46.76/16.01  																																										| (50)  ~ (e3 = e0)
% 46.76/16.01  																																										|
% 46.76/16.01  																																										+-Applying beta-rule and splitting (188), into two cases.
% 46.76/16.01  																																										|-Branch one:
% 46.76/16.01  																																										| (676) all_0_78_78 = e1
% 46.76/16.01  																																										|
% 46.76/16.01  																																											| Combining equations (676,400) yields a new equation:
% 46.76/16.01  																																											| (385) e2 = e1
% 46.76/16.01  																																											|
% 46.76/16.01  																																											| Equations (385) can reduce 243 to:
% 46.76/16.01  																																											| (311) $false
% 46.76/16.01  																																											|
% 46.76/16.01  																																											|-The branch is then unsatisfiable
% 46.76/16.01  																																										|-Branch two:
% 46.76/16.01  																																										| (1601)  ~ (all_0_78_78 = e1)
% 46.76/16.01  																																										| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.76/16.01  																																										|
% 46.76/16.01  																																											+-Applying beta-rule and splitting (1718), into two cases.
% 46.76/16.01  																																											|-Branch one:
% 46.76/16.01  																																											| (384) all_0_86_86 = e1
% 46.76/16.01  																																											|
% 46.76/16.01  																																												| Combining equations (378,384) yields a new equation:
% 46.76/16.01  																																												| (865) e1 = e0
% 46.76/16.01  																																												|
% 46.76/16.01  																																												| Equations (865) can reduce 264 to:
% 46.76/16.01  																																												| (311) $false
% 46.76/16.01  																																												|
% 46.76/16.01  																																												|-The branch is then unsatisfiable
% 46.76/16.01  																																											|-Branch two:
% 46.76/16.01  																																											| (387)  ~ (all_0_86_86 = e1)
% 46.76/16.01  																																											| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.76/16.01  																																											|
% 46.76/16.01  																																												+-Applying beta-rule and splitting (2122), into two cases.
% 46.76/16.01  																																												|-Branch one:
% 46.76/16.01  																																												| (750) all_0_90_90 = e1
% 46.76/16.01  																																												|
% 46.76/16.01  																																													| Combining equations (750,754) yields a new equation:
% 46.76/16.01  																																													| (772) e3 = e1
% 46.76/16.01  																																													|
% 46.76/16.01  																																													| Equations (772) can reduce 20 to:
% 46.76/16.01  																																													| (311) $false
% 46.76/16.01  																																													|
% 46.76/16.01  																																													|-The branch is then unsatisfiable
% 46.76/16.01  																																												|-Branch two:
% 46.76/16.01  																																												| (678)  ~ (all_0_90_90 = e1)
% 46.76/16.01  																																												| (785) all_0_95_95 = e1
% 46.76/16.01  																																												|
% 46.76/16.01  																																													| Equations (785) can reduce 105 to:
% 46.76/16.01  																																													| (485)  ~ (all_0_97_97 = e1)
% 46.76/16.01  																																													|
% 46.76/16.01  																																													| Simplifying 485 yields:
% 46.76/16.01  																																													| (486)  ~ (all_0_97_97 = e1)
% 46.76/16.02  																																													|
% 46.76/16.02  																																													| Equations (785) can reduce 355 to:
% 46.76/16.02  																																													| (487)  ~ (e2 = e1)
% 46.76/16.02  																																													|
% 46.76/16.02  																																													| Simplifying 487 yields:
% 46.76/16.02  																																													| (243)  ~ (e2 = e1)
% 46.76/16.02  																																													|
% 46.76/16.02  																																													| From (785) and (275) follows:
% 46.76/16.02  																																													| (1511) op(e0, e3) = e1
% 46.76/16.02  																																													|
% 46.76/16.02  																																													+-Applying beta-rule and splitting (171), into two cases.
% 46.76/16.02  																																													|-Branch one:
% 46.76/16.02  																																													| (789) all_0_82_82 = e3
% 46.76/16.02  																																													|
% 46.76/16.02  																																														| Combining equations (469,789) yields a new equation:
% 46.76/16.02  																																														| (790) e4 = e3
% 46.76/16.02  																																														|
% 46.76/16.02  																																														| Simplifying 790 yields:
% 46.76/16.02  																																														| (434) e4 = e3
% 46.76/16.02  																																														|
% 46.76/16.02  																																														| Equations (434) can reduce 177 to:
% 46.76/16.02  																																														| (311) $false
% 46.76/16.02  																																														|
% 46.76/16.02  																																														|-The branch is then unsatisfiable
% 46.76/16.02  																																													|-Branch two:
% 46.76/16.02  																																													| (793)  ~ (all_0_82_82 = e3)
% 46.76/16.02  																																													| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.76/16.02  																																													|
% 46.76/16.02  																																														+-Applying beta-rule and splitting (1296), into two cases.
% 46.76/16.02  																																														|-Branch one:
% 46.76/16.02  																																														| (795) all_0_83_83 = e3
% 46.76/16.02  																																														|
% 46.76/16.02  																																															| Combining equations (453,795) yields a new equation:
% 46.76/16.02  																																															| (548) e3 = e2
% 46.76/16.02  																																															|
% 46.76/16.02  																																															| Equations (548) can reduce 169 to:
% 46.76/16.02  																																															| (311) $false
% 46.76/16.02  																																															|
% 46.76/16.02  																																															|-The branch is then unsatisfiable
% 46.76/16.02  																																														|-Branch two:
% 46.76/16.02  																																														| (779)  ~ (all_0_83_83 = e3)
% 46.76/16.02  																																														| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.76/16.02  																																														|
% 46.76/16.02  																																															+-Applying beta-rule and splitting (1594), into two cases.
% 46.76/16.02  																																															|-Branch one:
% 46.76/16.02  																																															| (1265) all_0_84_84 = e3
% 46.76/16.02  																																															|
% 46.76/16.02  																																																| Combining equations (916,1265) yields a new equation:
% 46.76/16.02  																																																| (600) e3 = e0
% 46.76/16.02  																																																|
% 46.76/16.02  																																																| Equations (600) can reduce 50 to:
% 46.76/16.02  																																																| (311) $false
% 46.76/16.02  																																																|
% 46.76/16.02  																																																|-The branch is then unsatisfiable
% 46.76/16.02  																																															|-Branch two:
% 46.76/16.02  																																															| (422)  ~ (all_0_84_84 = e3)
% 46.76/16.02  																																															| (804) all_0_85_85 = e3
% 46.76/16.02  																																															|
% 46.76/16.02  																																																| Equations (804) can reduce 648 to:
% 46.76/16.02  																																																| (783)  ~ (e4 = e3)
% 46.76/16.02  																																																|
% 46.76/16.02  																																																| Simplifying 783 yields:
% 46.76/16.02  																																																| (177)  ~ (e4 = e3)
% 46.76/16.02  																																																|
% 46.76/16.02  																																																| Equations (804) can reduce 515 to:
% 46.76/16.02  																																																| (169)  ~ (e3 = e2)
% 46.76/16.02  																																																|
% 46.76/16.02  																																																| Equations (804) can reduce 800 to:
% 46.76/16.02  																																																| (50)  ~ (e3 = e0)
% 46.76/16.02  																																																|
% 46.76/16.02  																																																| From (804) and (26) follows:
% 46.76/16.02  																																																| (1891) op(e0, e3) = all_0_71_71
% 46.76/16.02  																																																|
% 46.76/16.02  																																																+-Applying beta-rule and splitting (106), into two cases.
% 46.76/16.02  																																																|-Branch one:
% 46.76/16.02  																																																| (771) all_0_78_78 = e3
% 46.76/16.02  																																																|
% 46.76/16.02  																																																	| Combining equations (771,400) yields a new equation:
% 46.76/16.02  																																																	| (547) e3 = e2
% 46.76/16.02  																																																	|
% 46.76/16.02  																																																	| Simplifying 547 yields:
% 46.76/16.02  																																																	| (548) e3 = e2
% 46.76/16.02  																																																	|
% 46.76/16.02  																																																	| Equations (548) can reduce 169 to:
% 46.76/16.02  																																																	| (311) $false
% 46.76/16.02  																																																	|
% 46.76/16.02  																																																	|-The branch is then unsatisfiable
% 46.76/16.02  																																																|-Branch two:
% 46.76/16.02  																																																| (418)  ~ (all_0_78_78 = e3)
% 46.76/16.02  																																																| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.76/16.02  																																																|
% 46.76/16.02  																																																	+-Applying beta-rule and splitting (207), into two cases.
% 46.76/16.02  																																																	|-Branch one:
% 46.76/16.02  																																																	| (416) all_0_80_80 = e3
% 46.76/16.02  																																																	|
% 46.76/16.02  																																																		| Equations (416) can reduce 144 to:
% 46.76/16.02  																																																		| (419)  ~ (all_0_81_81 = e3)
% 46.76/16.02  																																																		|
% 46.76/16.02  																																																		| Simplifying 419 yields:
% 46.76/16.02  																																																		| (420)  ~ (all_0_81_81 = e3)
% 46.76/16.02  																																																		|
% 46.76/16.02  																																																		| Equations (416) can reduce 49 to:
% 46.76/16.02  																																																		| (425)  ~ (all_0_92_92 = e3)
% 46.76/16.02  																																																		|
% 46.76/16.02  																																																		| Simplifying 425 yields:
% 46.76/16.02  																																																		| (426)  ~ (all_0_92_92 = e3)
% 46.76/16.02  																																																		|
% 46.76/16.02  																																																		+-Applying beta-rule and splitting (168), into two cases.
% 46.76/16.02  																																																		|-Branch one:
% 46.76/16.02  																																																		| (638) all_0_81_81 = e4
% 46.76/16.02  																																																		|
% 46.76/16.02  																																																			| Equations (638) can reduce 420 to:
% 46.76/16.02  																																																			| (177)  ~ (e4 = e3)
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																			| Equations (638) can reduce 396 to:
% 46.76/16.02  																																																			| (79)  ~ (e4 = e2)
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																			| Equations (638) can reduce 257 to:
% 46.76/16.02  																																																			| (23)  ~ (e4 = e0)
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																			| From (638) and (145) follows:
% 46.76/16.02  																																																			| (30704) op(e0, e4) = all_0_69_69
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 46.76/16.02  																																																			|-Branch one:
% 46.76/16.02  																																																			| (482) all_0_87_87 = e1
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																				| Combining equations (374,482) yields a new equation:
% 46.76/16.02  																																																				| (408) e2 = e1
% 46.76/16.02  																																																				|
% 46.76/16.02  																																																				| Simplifying 408 yields:
% 46.76/16.02  																																																				| (385) e2 = e1
% 46.76/16.02  																																																				|
% 46.76/16.02  																																																				| Equations (385) can reduce 243 to:
% 46.76/16.02  																																																				| (311) $false
% 46.76/16.02  																																																				|
% 46.76/16.02  																																																				|-The branch is then unsatisfiable
% 46.76/16.02  																																																			|-Branch two:
% 46.76/16.02  																																																			| (625)  ~ (all_0_87_87 = e1)
% 46.76/16.02  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.76/16.02  																																																			|
% 46.76/16.02  																																																				+-Applying beta-rule and splitting (140), into two cases.
% 46.76/16.02  																																																				|-Branch one:
% 46.76/16.02  																																																				| (313) all_0_94_94 = e4
% 46.76/16.02  																																																				|
% 46.76/16.02  																																																					| Combining equations (1757,313) yields a new equation:
% 46.76/16.02  																																																					| (310) e4 = e2
% 46.76/16.02  																																																					|
% 46.76/16.02  																																																					| Equations (310) can reduce 79 to:
% 46.76/16.02  																																																					| (311) $false
% 46.76/16.02  																																																					|
% 46.76/16.02  																																																					|-The branch is then unsatisfiable
% 46.76/16.02  																																																				|-Branch two:
% 46.76/16.02  																																																				| (34849)  ~ (all_0_94_94 = e4)
% 46.76/16.02  																																																				| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.76/16.02  																																																				|
% 46.76/16.02  																																																					+-Applying beta-rule and splitting (835), into two cases.
% 46.76/16.02  																																																					|-Branch one:
% 46.76/16.02  																																																					| (836) all_0_92_92 = e1
% 46.76/16.02  																																																					|
% 46.76/16.02  																																																						| Equations (836) can reduce 1619 to:
% 46.76/16.02  																																																						| (681)  ~ (e4 = e1)
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																						| Simplifying 681 yields:
% 46.76/16.02  																																																						| (256)  ~ (e4 = e1)
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																						| Equations (836) can reduce 426 to:
% 46.76/16.02  																																																						| (683)  ~ (e3 = e1)
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																						| Simplifying 683 yields:
% 46.76/16.02  																																																						| (20)  ~ (e3 = e1)
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																						+-Applying beta-rule and splitting (112), into two cases.
% 46.76/16.02  																																																						|-Branch one:
% 46.76/16.02  																																																						| (538) all_0_97_97 = e2
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																							| Equations (538) can reduce 527 to:
% 46.76/16.02  																																																							| (311) $false
% 46.76/16.02  																																																							|
% 46.76/16.02  																																																							|-The branch is then unsatisfiable
% 46.76/16.02  																																																						|-Branch two:
% 46.76/16.02  																																																						| (527)  ~ (all_0_97_97 = e2)
% 46.76/16.02  																																																						| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.76/16.02  																																																						|
% 46.76/16.02  																																																							+-Applying beta-rule and splitting (210), into two cases.
% 46.76/16.02  																																																							|-Branch one:
% 46.76/16.02  																																																							| (433) all_0_80_80 = e4
% 46.76/16.02  																																																							|
% 46.76/16.02  																																																								| Combining equations (433,416) yields a new equation:
% 46.76/16.02  																																																								| (790) e4 = e3
% 46.76/16.02  																																																								|
% 46.76/16.02  																																																								| Simplifying 790 yields:
% 46.76/16.02  																																																								| (434) e4 = e3
% 46.76/16.02  																																																								|
% 46.76/16.02  																																																								| Equations (434) can reduce 177 to:
% 46.76/16.02  																																																								| (311) $false
% 46.76/16.02  																																																								|
% 46.76/16.02  																																																								|-The branch is then unsatisfiable
% 46.76/16.02  																																																							|-Branch two:
% 46.76/16.02  																																																							| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.02  																																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.02  																																																							|
% 46.76/16.02  																																																								+-Applying beta-rule and splitting (437), into two cases.
% 46.76/16.02  																																																								|-Branch one:
% 46.76/16.02  																																																								| (438) all_0_84_84 = e4
% 46.76/16.02  																																																								|
% 46.76/16.02  																																																									| Combining equations (916,438) yields a new equation:
% 46.76/16.02  																																																									| (912) e4 = e0
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																									| Equations (912) can reduce 23 to:
% 46.76/16.02  																																																									| (311) $false
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																									|-The branch is then unsatisfiable
% 46.76/16.02  																																																								|-Branch two:
% 46.76/16.02  																																																								| (417)  ~ (all_0_84_84 = e4)
% 46.76/16.02  																																																								| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.02  																																																								|
% 46.76/16.02  																																																									| Equations (916) can reduce 417 to:
% 46.76/16.02  																																																									| (904)  ~ (e4 = e0)
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																									| Simplifying 904 yields:
% 46.76/16.02  																																																									| (23)  ~ (e4 = e0)
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																									+-Applying beta-rule and splitting (34850), into two cases.
% 46.76/16.02  																																																									|-Branch one:
% 46.76/16.02  																																																									| (894) all_0_95_95 = e4
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																										| Combining equations (894,785) yields a new equation:
% 46.76/16.02  																																																										| (813) e4 = e1
% 46.76/16.02  																																																										|
% 46.76/16.02  																																																										| Simplifying 813 yields:
% 46.76/16.02  																																																										| (814) e4 = e1
% 46.76/16.02  																																																										|
% 46.76/16.02  																																																										| Equations (814) can reduce 256 to:
% 46.76/16.02  																																																										| (311) $false
% 46.76/16.02  																																																										|
% 46.76/16.02  																																																										|-The branch is then unsatisfiable
% 46.76/16.02  																																																									|-Branch two:
% 46.76/16.02  																																																									| (315)  ~ (all_0_95_95 = e4)
% 46.76/16.02  																																																									| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.76/16.02  																																																									|
% 46.76/16.02  																																																										+-Applying beta-rule and splitting (34882), into two cases.
% 46.76/16.02  																																																										|-Branch one:
% 46.76/16.02  																																																										| (610) all_0_97_97 = e4
% 46.76/16.02  																																																										|
% 46.76/16.02  																																																											| Combining equations (610,8321) yields a new equation:
% 46.76/16.02  																																																											| (32048) all_0_73_73 = e4
% 46.76/16.02  																																																											|
% 46.76/16.02  																																																											| Equations (610) can reduce 527 to:
% 46.76/16.02  																																																											| (79)  ~ (e4 = e2)
% 46.76/16.02  																																																											|
% 46.76/16.02  																																																											| From (610) and (69) follows:
% 46.76/16.02  																																																											| (30645) op(e0, e4) = all_0_68_68
% 46.76/16.02  																																																											|
% 46.76/16.02  																																																											| Instantiating formula (262) with e0, e4, all_0_68_68, e2 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = e2, yields:
% 46.76/16.03  																																																											| (2850) all_0_68_68 = e2
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											| Instantiating formula (262) with e0, e4, all_0_69_69, all_0_68_68 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = all_0_69_69, yields:
% 46.76/16.03  																																																											| (1792) all_0_68_68 = all_0_69_69
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											| Instantiating formula (262) with e0, e3, e1, all_0_71_71 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = e1, yields:
% 46.76/16.03  																																																											| (1967) all_0_71_71 = e1
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											| Combining equations (2850,1792) yields a new equation:
% 46.76/16.03  																																																											| (18072) all_0_69_69 = e2
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											+-Applying beta-rule and splitting (89), into two cases.
% 46.76/16.03  																																																											|-Branch one:
% 46.76/16.03  																																																											| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																												+-Applying beta-rule and splitting (1373), into two cases.
% 46.76/16.03  																																																												|-Branch one:
% 46.76/16.03  																																																												| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																													+-Applying beta-rule and splitting (1374), into two cases.
% 46.76/16.03  																																																													|-Branch one:
% 46.76/16.03  																																																													| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																														| Applying alpha-rule on (1375) yields:
% 46.76/16.03  																																																														| (1376) all_0_69_69 = e4
% 46.76/16.03  																																																														| (1377)  ~ (all_0_70_70 = e0)
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														| Combining equations (18072,1376) yields a new equation:
% 46.76/16.03  																																																														| (310) e4 = e2
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														| Equations (310) can reduce 79 to:
% 46.76/16.03  																																																														| (311) $false
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														|-The branch is then unsatisfiable
% 46.76/16.03  																																																													|-Branch two:
% 46.76/16.03  																																																													| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																														| Applying alpha-rule on (1379) yields:
% 46.76/16.03  																																																														| (1380) all_0_71_71 = e3
% 46.76/16.03  																																																														| (1381)  ~ (all_0_72_72 = e0)
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														| Combining equations (1967,1380) yields a new equation:
% 46.76/16.03  																																																														| (772) e3 = e1
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														| Equations (772) can reduce 20 to:
% 46.76/16.03  																																																														| (311) $false
% 46.76/16.03  																																																														|
% 46.76/16.03  																																																														|-The branch is then unsatisfiable
% 46.76/16.03  																																																												|-Branch two:
% 46.76/16.03  																																																												| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																													| Applying alpha-rule on (1385) yields:
% 46.76/16.03  																																																													| (1386) all_0_73_73 = e2
% 46.76/16.03  																																																													| (1387)  ~ (all_0_74_74 = e0)
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																													| Combining equations (32048,1386) yields a new equation:
% 46.76/16.03  																																																													| (309) e4 = e2
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																													| Simplifying 309 yields:
% 46.76/16.03  																																																													| (310) e4 = e2
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																													| Equations (310) can reduce 79 to:
% 46.76/16.03  																																																													| (311) $false
% 46.76/16.03  																																																													|
% 46.76/16.03  																																																													|-The branch is then unsatisfiable
% 46.76/16.03  																																																											|-Branch two:
% 46.76/16.03  																																																											| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																												| Applying alpha-rule on (1391) yields:
% 46.76/16.03  																																																												| (1392) all_0_75_75 = e1
% 46.76/16.03  																																																												| (1393)  ~ (all_0_76_76 = e0)
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												| Combining equations (1392,9862) yields a new equation:
% 46.76/16.03  																																																												| (772) e3 = e1
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												| Equations (772) can reduce 20 to:
% 46.76/16.03  																																																												| (311) $false
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												|-The branch is then unsatisfiable
% 46.76/16.03  																																																										|-Branch two:
% 46.76/16.03  																																																										| (319)  ~ (all_0_97_97 = e4)
% 46.76/16.03  																																																										| (2650) all_0_98_98 = e4
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																											| Combining equations (1121,2650) yields a new equation:
% 46.76/16.03  																																																											| (912) e4 = e0
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											| Equations (912) can reduce 23 to:
% 46.76/16.03  																																																											| (311) $false
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											|-The branch is then unsatisfiable
% 46.76/16.03  																																																					|-Branch two:
% 46.76/16.03  																																																					| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.03  																																																					| (542) all_0_97_97 = e1
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																						| Equations (542) can reduce 486 to:
% 46.76/16.03  																																																						| (311) $false
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																						|-The branch is then unsatisfiable
% 46.76/16.03  																																																		|-Branch two:
% 46.76/16.03  																																																		| (634)  ~ (all_0_81_81 = e4)
% 46.76/16.03  																																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 46.76/16.03  																																																		|
% 46.76/16.03  																																																			+-Applying beta-rule and splitting (476), into two cases.
% 46.76/16.03  																																																			|-Branch one:
% 46.76/16.03  																																																			| (477) all_0_81_81 = e1
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																				| Equations (477) can reduce 628 to:
% 46.76/16.03  																																																				| (311) $false
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																				|-The branch is then unsatisfiable
% 46.76/16.03  																																																			|-Branch two:
% 46.76/16.03  																																																			| (628)  ~ (all_0_81_81 = e1)
% 46.76/16.03  																																																			| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																				+-Applying beta-rule and splitting (629), into two cases.
% 46.76/16.03  																																																				|-Branch one:
% 46.76/16.03  																																																				| (635) all_0_81_81 = e3
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																					| Equations (635) can reduce 420 to:
% 46.76/16.03  																																																					| (311) $false
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																					|-The branch is then unsatisfiable
% 46.76/16.03  																																																				|-Branch two:
% 46.76/16.03  																																																				| (420)  ~ (all_0_81_81 = e3)
% 46.76/16.03  																																																				| (638) all_0_81_81 = e4
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																					| Equations (638) can reduce 634 to:
% 46.76/16.03  																																																					| (311) $false
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																					|-The branch is then unsatisfiable
% 46.76/16.03  																																																	|-Branch two:
% 46.76/16.03  																																																	| (2347)  ~ (all_0_80_80 = e3)
% 46.76/16.03  																																																	| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 46.76/16.03  																																																	|
% 46.76/16.03  																																																		+-Applying beta-rule and splitting (168), into two cases.
% 46.76/16.03  																																																		|-Branch one:
% 46.76/16.03  																																																		| (638) all_0_81_81 = e4
% 46.76/16.03  																																																		|
% 46.76/16.03  																																																			| Equations (638) can reduce 144 to:
% 46.76/16.03  																																																			| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																			| Equations (638) can reduce 257 to:
% 46.76/16.03  																																																			| (23)  ~ (e4 = e0)
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																			+-Applying beta-rule and splitting (829), into two cases.
% 46.76/16.03  																																																			|-Branch one:
% 46.76/16.03  																																																			| (482) all_0_87_87 = e1
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																				| Combining equations (374,482) yields a new equation:
% 46.76/16.03  																																																				| (408) e2 = e1
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																				| Simplifying 408 yields:
% 46.76/16.03  																																																				| (385) e2 = e1
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																				| Equations (385) can reduce 243 to:
% 46.76/16.03  																																																				| (311) $false
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																				|-The branch is then unsatisfiable
% 46.76/16.03  																																																			|-Branch two:
% 46.76/16.03  																																																			| (625)  ~ (all_0_87_87 = e1)
% 46.76/16.03  																																																			| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.76/16.03  																																																			|
% 46.76/16.03  																																																				+-Applying beta-rule and splitting (119), into two cases.
% 46.76/16.03  																																																				|-Branch one:
% 46.76/16.03  																																																				| (1343) all_0_92_92 = e2
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																					| Equations (1343) can reduce 298 to:
% 46.76/16.03  																																																					| (311) $false
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																					|-The branch is then unsatisfiable
% 46.76/16.03  																																																				|-Branch two:
% 46.76/16.03  																																																				| (298)  ~ (all_0_92_92 = e2)
% 46.76/16.03  																																																				| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.76/16.03  																																																				|
% 46.76/16.03  																																																					+-Applying beta-rule and splitting (3735), into two cases.
% 46.76/16.03  																																																					|-Branch one:
% 46.76/16.03  																																																					| (836) all_0_92_92 = e1
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																						| Equations (836) can reduce 1619 to:
% 46.76/16.03  																																																						| (681)  ~ (e4 = e1)
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																						| Simplifying 681 yields:
% 46.76/16.03  																																																						| (256)  ~ (e4 = e1)
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																						| Equations (836) can reduce 426 to:
% 46.76/16.03  																																																						| (683)  ~ (e3 = e1)
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																						| Simplifying 683 yields:
% 46.76/16.03  																																																						| (20)  ~ (e3 = e1)
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																						+-Applying beta-rule and splitting (210), into two cases.
% 46.76/16.03  																																																						|-Branch one:
% 46.76/16.03  																																																						| (433) all_0_80_80 = e4
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																							| Equations (433) can reduce 436 to:
% 46.76/16.03  																																																							| (311) $false
% 46.76/16.03  																																																							|
% 46.76/16.03  																																																							|-The branch is then unsatisfiable
% 46.76/16.03  																																																						|-Branch two:
% 46.76/16.03  																																																						| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.03  																																																						| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.03  																																																						|
% 46.76/16.03  																																																							+-Applying beta-rule and splitting (437), into two cases.
% 46.76/16.03  																																																							|-Branch one:
% 46.76/16.03  																																																							| (438) all_0_84_84 = e4
% 46.76/16.03  																																																							|
% 46.76/16.03  																																																								| Combining equations (916,438) yields a new equation:
% 46.76/16.03  																																																								| (912) e4 = e0
% 46.76/16.03  																																																								|
% 46.76/16.03  																																																								| Equations (912) can reduce 23 to:
% 46.76/16.03  																																																								| (311) $false
% 46.76/16.03  																																																								|
% 46.76/16.03  																																																								|-The branch is then unsatisfiable
% 46.76/16.03  																																																							|-Branch two:
% 46.76/16.03  																																																							| (417)  ~ (all_0_84_84 = e4)
% 46.76/16.03  																																																							| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.03  																																																							|
% 46.76/16.03  																																																								+-Applying beta-rule and splitting (441), into two cases.
% 46.76/16.03  																																																								|-Branch one:
% 46.76/16.03  																																																								| (442) all_0_92_92 = e4
% 46.76/16.03  																																																								|
% 46.76/16.03  																																																									| Combining equations (836,442) yields a new equation:
% 46.76/16.03  																																																									| (814) e4 = e1
% 46.76/16.03  																																																									|
% 46.76/16.03  																																																									| Equations (814) can reduce 256 to:
% 46.76/16.03  																																																									| (311) $false
% 46.76/16.03  																																																									|
% 46.76/16.03  																																																									|-The branch is then unsatisfiable
% 46.76/16.03  																																																								|-Branch two:
% 46.76/16.03  																																																								| (1619)  ~ (all_0_92_92 = e4)
% 46.76/16.03  																																																								| (610) all_0_97_97 = e4
% 46.76/16.03  																																																								|
% 46.76/16.03  																																																									| Equations (610) can reduce 428 to:
% 46.76/16.03  																																																									| (177)  ~ (e4 = e3)
% 46.76/16.03  																																																									|
% 46.76/16.03  																																																									+-Applying beta-rule and splitting (1756), into two cases.
% 46.76/16.03  																																																									|-Branch one:
% 46.76/16.03  																																																									| (1708) all_0_79_79 = e3
% 46.76/16.03  																																																									|
% 46.76/16.03  																																																										| Combining equations (1708,457) yields a new equation:
% 46.76/16.03  																																																										| (825) e3 = e1
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																										| Simplifying 825 yields:
% 46.76/16.03  																																																										| (772) e3 = e1
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																										| Equations (772) can reduce 20 to:
% 46.76/16.03  																																																										| (311) $false
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																										|-The branch is then unsatisfiable
% 46.76/16.03  																																																									|-Branch two:
% 46.76/16.03  																																																									| (1711)  ~ (all_0_79_79 = e3)
% 46.76/16.03  																																																									| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.76/16.03  																																																									|
% 46.76/16.03  																																																										| Equations (457) can reduce 1711 to:
% 46.76/16.03  																																																										| (683)  ~ (e3 = e1)
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																										| Simplifying 683 yields:
% 46.76/16.03  																																																										| (20)  ~ (e3 = e1)
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																										+-Applying beta-rule and splitting (2481), into two cases.
% 46.76/16.03  																																																										|-Branch one:
% 46.76/16.03  																																																										| (1265) all_0_84_84 = e3
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																											| Combining equations (916,1265) yields a new equation:
% 46.76/16.03  																																																											| (600) e3 = e0
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											| Equations (600) can reduce 50 to:
% 46.76/16.03  																																																											| (311) $false
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																											|-The branch is then unsatisfiable
% 46.76/16.03  																																																										|-Branch two:
% 46.76/16.03  																																																										| (422)  ~ (all_0_84_84 = e3)
% 46.76/16.03  																																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 46.76/16.03  																																																										|
% 46.76/16.03  																																																											+-Applying beta-rule and splitting (3765), into two cases.
% 46.76/16.03  																																																											|-Branch one:
% 46.76/16.03  																																																											| (882) all_0_92_92 = e3
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																												| Combining equations (836,882) yields a new equation:
% 46.76/16.03  																																																												| (772) e3 = e1
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												| Equations (772) can reduce 20 to:
% 46.76/16.03  																																																												| (311) $false
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												|-The branch is then unsatisfiable
% 46.76/16.03  																																																											|-Branch two:
% 46.76/16.03  																																																											| (426)  ~ (all_0_92_92 = e3)
% 46.76/16.03  																																																											| (556) all_0_97_97 = e3
% 46.76/16.03  																																																											|
% 46.76/16.03  																																																												| Combining equations (610,556) yields a new equation:
% 46.76/16.03  																																																												| (790) e4 = e3
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												| Simplifying 790 yields:
% 46.76/16.03  																																																												| (434) e4 = e3
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												| Equations (434) can reduce 177 to:
% 46.76/16.03  																																																												| (311) $false
% 46.76/16.03  																																																												|
% 46.76/16.03  																																																												|-The branch is then unsatisfiable
% 46.76/16.03  																																																					|-Branch two:
% 46.76/16.03  																																																					| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.03  																																																					| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.76/16.03  																																																					|
% 46.76/16.03  																																																						+-Applying beta-rule and splitting (210), into two cases.
% 46.76/16.03  																																																						|-Branch one:
% 46.76/16.04  																																																						| (433) all_0_80_80 = e4
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																							| Equations (433) can reduce 436 to:
% 46.76/16.04  																																																							| (311) $false
% 46.76/16.04  																																																							|
% 46.76/16.04  																																																							|-The branch is then unsatisfiable
% 46.76/16.04  																																																						|-Branch two:
% 46.76/16.04  																																																						| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.04  																																																						| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																							+-Applying beta-rule and splitting (437), into two cases.
% 46.76/16.04  																																																							|-Branch one:
% 46.76/16.04  																																																							| (438) all_0_84_84 = e4
% 46.76/16.04  																																																							|
% 46.76/16.04  																																																								| Combining equations (916,438) yields a new equation:
% 46.76/16.04  																																																								| (912) e4 = e0
% 46.76/16.04  																																																								|
% 46.76/16.04  																																																								| Equations (912) can reduce 23 to:
% 46.76/16.04  																																																								| (311) $false
% 46.76/16.04  																																																								|
% 46.76/16.04  																																																								|-The branch is then unsatisfiable
% 46.76/16.04  																																																							|-Branch two:
% 46.76/16.04  																																																							| (417)  ~ (all_0_84_84 = e4)
% 46.76/16.04  																																																							| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.76/16.04  																																																							|
% 46.76/16.04  																																																								+-Applying beta-rule and splitting (441), into two cases.
% 46.76/16.04  																																																								|-Branch one:
% 46.76/16.04  																																																								| (442) all_0_92_92 = e4
% 46.76/16.04  																																																								|
% 46.76/16.04  																																																									| Equations (442) can reduce 1619 to:
% 46.76/16.04  																																																									| (311) $false
% 46.76/16.04  																																																									|
% 46.76/16.04  																																																									|-The branch is then unsatisfiable
% 46.76/16.04  																																																								|-Branch two:
% 46.76/16.04  																																																								| (1619)  ~ (all_0_92_92 = e4)
% 46.76/16.04  																																																								| (610) all_0_97_97 = e4
% 46.76/16.04  																																																								|
% 46.76/16.04  																																																									| Equations (610) can reduce 486 to:
% 46.76/16.04  																																																									| (256)  ~ (e4 = e1)
% 46.76/16.04  																																																									|
% 46.76/16.04  																																																									+-Applying beta-rule and splitting (835), into two cases.
% 46.76/16.04  																																																									|-Branch one:
% 46.76/16.04  																																																									| (836) all_0_92_92 = e1
% 46.76/16.04  																																																									|
% 46.76/16.04  																																																										| Equations (836) can reduce 840 to:
% 46.76/16.04  																																																										| (311) $false
% 46.76/16.04  																																																										|
% 46.76/16.04  																																																										|-The branch is then unsatisfiable
% 46.76/16.04  																																																									|-Branch two:
% 46.76/16.04  																																																									| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.04  																																																									| (542) all_0_97_97 = e1
% 46.76/16.04  																																																									|
% 46.76/16.04  																																																										| Combining equations (610,542) yields a new equation:
% 46.76/16.04  																																																										| (813) e4 = e1
% 46.76/16.04  																																																										|
% 46.76/16.04  																																																										| Simplifying 813 yields:
% 46.76/16.04  																																																										| (814) e4 = e1
% 46.76/16.04  																																																										|
% 46.76/16.04  																																																										| Equations (814) can reduce 256 to:
% 46.76/16.04  																																																										| (311) $false
% 46.76/16.04  																																																										|
% 46.76/16.04  																																																										|-The branch is then unsatisfiable
% 46.76/16.04  																																																		|-Branch two:
% 46.76/16.04  																																																		| (634)  ~ (all_0_81_81 = e4)
% 46.76/16.04  																																																		| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 46.76/16.04  																																																		|
% 46.76/16.04  																																																			+-Applying beta-rule and splitting (140), into two cases.
% 46.76/16.04  																																																			|-Branch one:
% 46.76/16.04  																																																			| (313) all_0_94_94 = e4
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																				| Combining equations (313,1757) yields a new equation:
% 46.76/16.04  																																																				| (309) e4 = e2
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				| Simplifying 309 yields:
% 46.76/16.04  																																																				| (310) e4 = e2
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				| Equations (310) can reduce 79 to:
% 46.76/16.04  																																																				| (311) $false
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				|-The branch is then unsatisfiable
% 46.76/16.04  																																																			|-Branch two:
% 46.76/16.04  																																																			| (34849)  ~ (all_0_94_94 = e4)
% 46.76/16.04  																																																			| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																				| Equations (1757) can reduce 34849 to:
% 46.76/16.04  																																																				| (528)  ~ (e4 = e2)
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				| Simplifying 528 yields:
% 46.76/16.04  																																																				| (79)  ~ (e4 = e2)
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				+-Applying beta-rule and splitting (2559), into two cases.
% 46.76/16.04  																																																				|-Branch one:
% 46.76/16.04  																																																				| (493) all_0_85_85 = e4
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																					| Combining equations (804,493) yields a new equation:
% 46.76/16.04  																																																					| (434) e4 = e3
% 46.76/16.04  																																																					|
% 46.76/16.04  																																																					| Equations (434) can reduce 177 to:
% 46.76/16.04  																																																					| (311) $false
% 46.76/16.04  																																																					|
% 46.76/16.04  																																																					|-The branch is then unsatisfiable
% 46.76/16.04  																																																				|-Branch two:
% 46.76/16.04  																																																				| (648)  ~ (all_0_85_85 = e4)
% 46.76/16.04  																																																				| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																					+-Applying beta-rule and splitting (2576), into two cases.
% 46.76/16.04  																																																					|-Branch one:
% 46.76/16.04  																																																					| (607) all_0_93_93 = e4
% 46.76/16.04  																																																					|
% 46.76/16.04  																																																						| Combining equations (522,607) yields a new equation:
% 46.76/16.04  																																																						| (310) e4 = e2
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																						| Equations (310) can reduce 79 to:
% 46.76/16.04  																																																						| (311) $false
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																						|-The branch is then unsatisfiable
% 46.76/16.04  																																																					|-Branch two:
% 46.76/16.04  																																																					| (496)  ~ (all_0_93_93 = e4)
% 46.76/16.04  																																																					| (2650) all_0_98_98 = e4
% 46.76/16.04  																																																					|
% 46.76/16.04  																																																						| Combining equations (1121,2650) yields a new equation:
% 46.76/16.04  																																																						| (912) e4 = e0
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																						| Equations (912) can reduce 23 to:
% 46.76/16.04  																																																						| (311) $false
% 46.76/16.04  																																																						|
% 46.76/16.04  																																																						|-The branch is then unsatisfiable
% 46.76/16.04  																																									|-Branch two:
% 46.76/16.04  																																									| (745)  ~ (all_0_90_90 = e3)
% 46.76/16.04  																																									| (744) all_0_95_95 = e3
% 46.76/16.04  																																									|
% 46.76/16.04  																																										| Equations (744) can reduce 765 to:
% 46.76/16.04  																																										| (311) $false
% 46.76/16.04  																																										|
% 46.76/16.04  																																										|-The branch is then unsatisfiable
% 46.76/16.04  																																					|-Branch two:
% 46.76/16.04  																																					| (465)  ~ (all_0_82_82 = e4)
% 46.76/16.04  																																					| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.76/16.04  																																					|
% 46.76/16.04  																																						+-Applying beta-rule and splitting (472), into two cases.
% 46.76/16.04  																																						|-Branch one:
% 46.76/16.04  																																						| (438) all_0_84_84 = e4
% 46.76/16.04  																																						|
% 46.76/16.04  																																							| Combining equations (916,438) yields a new equation:
% 46.76/16.04  																																							| (912) e4 = e0
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| Equations (912) can reduce 23 to:
% 46.76/16.04  																																							| (311) $false
% 46.76/16.04  																																							|
% 46.76/16.04  																																							|-The branch is then unsatisfiable
% 46.76/16.04  																																						|-Branch two:
% 46.76/16.04  																																						| (417)  ~ (all_0_84_84 = e4)
% 46.76/16.04  																																						| (493) all_0_85_85 = e4
% 46.76/16.04  																																						|
% 46.76/16.04  																																							| Equations (493) can reduce 118 to:
% 46.76/16.04  																																							| (634)  ~ (all_0_81_81 = e4)
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| Equations (493) can reduce 209 to:
% 46.76/16.04  																																							| (465)  ~ (all_0_82_82 = e4)
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| Equations (493) can reduce 515 to:
% 46.76/16.04  																																							| (79)  ~ (e4 = e2)
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| Equations (493) can reduce 128 to:
% 46.76/16.04  																																							| (256)  ~ (e4 = e1)
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| Equations (493) can reduce 800 to:
% 46.76/16.04  																																							| (23)  ~ (e4 = e0)
% 46.76/16.04  																																							|
% 46.76/16.04  																																							| From (493) and (197) follows:
% 46.76/16.04  																																							| (4405) op(e3, e4) = all_0_72_72
% 46.76/16.04  																																							|
% 46.76/16.04  																																							+-Applying beta-rule and splitting (171), into two cases.
% 46.76/16.04  																																							|-Branch one:
% 46.76/16.04  																																							| (789) all_0_82_82 = e3
% 46.76/16.04  																																							|
% 46.76/16.04  																																								| Equations (789) can reduce 255 to:
% 46.76/16.04  																																								| (1815)  ~ (all_0_90_90 = e3)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								| Simplifying 1815 yields:
% 46.76/16.04  																																								| (745)  ~ (all_0_90_90 = e3)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								| Equations (789) can reduce 200 to:
% 46.76/16.04  																																								| (1070)  ~ (all_0_95_95 = e3)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								| Simplifying 1070 yields:
% 46.76/16.04  																																								| (765)  ~ (all_0_95_95 = e3)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								| Equations (789) can reduce 347 to:
% 46.76/16.04  																																								| (169)  ~ (e3 = e2)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								| Equations (789) can reduce 914 to:
% 46.76/16.04  																																								| (50)  ~ (e3 = e0)
% 46.76/16.04  																																								|
% 46.76/16.04  																																								+-Applying beta-rule and splitting (282), into two cases.
% 46.76/16.04  																																								|-Branch one:
% 46.76/16.04  																																								| (754) all_0_90_90 = e3
% 46.76/16.04  																																								|
% 46.76/16.04  																																									| Equations (754) can reduce 745 to:
% 46.76/16.04  																																									| (311) $false
% 46.76/16.04  																																									|
% 46.76/16.04  																																									|-The branch is then unsatisfiable
% 46.76/16.04  																																								|-Branch two:
% 46.76/16.04  																																								| (745)  ~ (all_0_90_90 = e3)
% 46.76/16.04  																																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.76/16.04  																																								|
% 46.76/16.04  																																									+-Applying beta-rule and splitting (849), into two cases.
% 46.76/16.04  																																									|-Branch one:
% 46.76/16.04  																																									| (588) all_0_91_91 = e3
% 46.76/16.04  																																									|
% 46.76/16.04  																																										| Combining equations (1456,588) yields a new equation:
% 46.76/16.04  																																										| (600) e3 = e0
% 46.76/16.04  																																										|
% 46.76/16.04  																																										| Equations (600) can reduce 50 to:
% 46.76/16.04  																																										| (311) $false
% 46.76/16.04  																																										|
% 46.76/16.04  																																										|-The branch is then unsatisfiable
% 46.76/16.04  																																									|-Branch two:
% 46.76/16.04  																																									| (571)  ~ (all_0_91_91 = e3)
% 46.76/16.04  																																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.76/16.04  																																									|
% 46.76/16.04  																																										+-Applying beta-rule and splitting (881), into two cases.
% 46.76/16.04  																																										|-Branch one:
% 46.76/16.04  																																										| (882) all_0_92_92 = e3
% 46.76/16.04  																																										|
% 46.76/16.04  																																											| Equations (882) can reduce 49 to:
% 46.76/16.04  																																											| (2347)  ~ (all_0_80_80 = e3)
% 46.76/16.04  																																											|
% 46.76/16.04  																																											| Equations (882) can reduce 72 to:
% 46.76/16.04  																																											| (745)  ~ (all_0_90_90 = e3)
% 46.76/16.04  																																											|
% 46.76/16.04  																																											| Equations (882) can reduce 258 to:
% 46.76/16.04  																																											| (427)  ~ (all_0_97_97 = e3)
% 46.76/16.04  																																											|
% 46.76/16.04  																																											| Simplifying 427 yields:
% 46.76/16.04  																																											| (428)  ~ (all_0_97_97 = e3)
% 46.76/16.04  																																											|
% 46.76/16.04  																																											| Equations (882) can reduce 298 to:
% 46.76/16.04  																																											| (169)  ~ (e3 = e2)
% 46.76/16.04  																																											|
% 46.76/16.04  																																											+-Applying beta-rule and splitting (106), into two cases.
% 46.76/16.04  																																											|-Branch one:
% 46.76/16.04  																																											| (771) all_0_78_78 = e3
% 46.76/16.04  																																											|
% 46.76/16.04  																																												| Combining equations (771,400) yields a new equation:
% 46.76/16.04  																																												| (547) e3 = e2
% 46.76/16.04  																																												|
% 46.76/16.04  																																												| Simplifying 547 yields:
% 46.76/16.04  																																												| (548) e3 = e2
% 46.76/16.04  																																												|
% 46.76/16.04  																																												| Equations (548) can reduce 169 to:
% 46.76/16.04  																																												| (311) $false
% 46.76/16.04  																																												|
% 46.76/16.04  																																												|-The branch is then unsatisfiable
% 46.76/16.04  																																											|-Branch two:
% 46.76/16.04  																																											| (418)  ~ (all_0_78_78 = e3)
% 46.76/16.04  																																											| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.76/16.04  																																											|
% 46.76/16.04  																																												+-Applying beta-rule and splitting (132), into two cases.
% 46.76/16.04  																																												|-Branch one:
% 46.76/16.04  																																												| (750) all_0_90_90 = e1
% 46.76/16.04  																																												|
% 46.76/16.04  																																													| Equations (750) can reduce 229 to:
% 46.76/16.04  																																													| (679)  ~ (all_0_95_95 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Simplifying 679 yields:
% 46.76/16.04  																																													| (680)  ~ (all_0_95_95 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Equations (750) can reduce 745 to:
% 46.76/16.04  																																													| (683)  ~ (e3 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Simplifying 683 yields:
% 46.76/16.04  																																													| (20)  ~ (e3 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Equations (750) can reduce 294 to:
% 46.76/16.04  																																													| (487)  ~ (e2 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Simplifying 487 yields:
% 46.76/16.04  																																													| (243)  ~ (e2 = e1)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													| Equations (750) can reduce 762 to:
% 46.76/16.04  																																													| (264)  ~ (e1 = e0)
% 46.76/16.04  																																													|
% 46.76/16.04  																																													+-Applying beta-rule and splitting (4), into two cases.
% 46.76/16.04  																																													|-Branch one:
% 46.76/16.04  																																													| (463) all_0_78_78 = e4
% 46.76/16.04  																																													|
% 46.76/16.04  																																														| Combining equations (463,400) yields a new equation:
% 46.76/16.04  																																														| (309) e4 = e2
% 46.76/16.04  																																														|
% 46.76/16.04  																																														| Simplifying 309 yields:
% 46.76/16.04  																																														| (310) e4 = e2
% 46.76/16.04  																																														|
% 46.76/16.04  																																														| Equations (310) can reduce 79 to:
% 46.76/16.04  																																														| (311) $false
% 46.76/16.04  																																														|
% 46.76/16.04  																																														|-The branch is then unsatisfiable
% 46.76/16.04  																																													|-Branch two:
% 46.76/16.04  																																													| (640)  ~ (all_0_78_78 = e4)
% 46.76/16.04  																																													| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.76/16.04  																																													|
% 46.76/16.04  																																														+-Applying beta-rule and splitting (176), into two cases.
% 46.76/16.04  																																														|-Branch one:
% 46.76/16.04  																																														| (785) all_0_95_95 = e1
% 46.76/16.04  																																														|
% 46.76/16.04  																																															| Equations (785) can reduce 680 to:
% 46.76/16.04  																																															| (311) $false
% 46.76/16.04  																																															|
% 46.76/16.04  																																															|-The branch is then unsatisfiable
% 46.76/16.04  																																														|-Branch two:
% 46.76/16.04  																																														| (680)  ~ (all_0_95_95 = e1)
% 46.76/16.04  																																														| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.76/16.04  																																														|
% 46.76/16.04  																																															+-Applying beta-rule and splitting (641), into two cases.
% 46.76/16.04  																																															|-Branch one:
% 46.76/16.04  																																															| (433) all_0_80_80 = e4
% 46.76/16.04  																																															|
% 46.76/16.04  																																																| Equations (433) can reduce 2347 to:
% 46.76/16.04  																																																| (177)  ~ (e4 = e3)
% 46.76/16.04  																																																|
% 46.76/16.04  																																																| Equations (433) can reduce 828 to:
% 46.76/16.04  																																																| (256)  ~ (e4 = e1)
% 46.76/16.04  																																																|
% 46.76/16.04  																																																+-Applying beta-rule and splitting (3625), into two cases.
% 46.76/16.04  																																																|-Branch one:
% 46.76/16.04  																																																| (469) all_0_82_82 = e4
% 46.76/16.04  																																																|
% 46.76/16.04  																																																	| Combining equations (789,469) yields a new equation:
% 46.76/16.04  																																																	| (434) e4 = e3
% 46.76/16.04  																																																	|
% 46.76/16.04  																																																	| Equations (434) can reduce 177 to:
% 46.76/16.04  																																																	| (311) $false
% 46.76/16.04  																																																	|
% 46.76/16.04  																																																	|-The branch is then unsatisfiable
% 46.76/16.04  																																																|-Branch two:
% 46.76/16.04  																																																| (465)  ~ (all_0_82_82 = e4)
% 46.76/16.04  																																																| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 46.76/16.04  																																																|
% 46.76/16.04  																																																	+-Applying beta-rule and splitting (250), into two cases.
% 46.76/16.04  																																																	|-Branch one:
% 46.76/16.04  																																																	| (635) all_0_81_81 = e3
% 46.76/16.04  																																																	|
% 46.76/16.04  																																																		| Equations (635) can reduce 628 to:
% 46.76/16.04  																																																		| (20)  ~ (e3 = e1)
% 46.76/16.04  																																																		|
% 46.76/16.04  																																																		+-Applying beta-rule and splitting (829), into two cases.
% 46.76/16.04  																																																		|-Branch one:
% 46.76/16.04  																																																		| (482) all_0_87_87 = e1
% 46.76/16.04  																																																		|
% 46.76/16.04  																																																			| Combining equations (374,482) yields a new equation:
% 46.76/16.04  																																																			| (408) e2 = e1
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																			| Simplifying 408 yields:
% 46.76/16.04  																																																			| (385) e2 = e1
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																			| Equations (385) can reduce 243 to:
% 46.76/16.04  																																																			| (311) $false
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																			|-The branch is then unsatisfiable
% 46.76/16.04  																																																		|-Branch two:
% 46.76/16.04  																																																		| (625)  ~ (all_0_87_87 = e1)
% 46.76/16.04  																																																		| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.76/16.04  																																																		|
% 46.76/16.04  																																																			+-Applying beta-rule and splitting (3629), into two cases.
% 46.76/16.04  																																																			|-Branch one:
% 46.76/16.04  																																																			| (583) all_0_90_90 = e4
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																				| Combining equations (750,583) yields a new equation:
% 46.76/16.04  																																																				| (814) e4 = e1
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				| Equations (814) can reduce 256 to:
% 46.76/16.04  																																																				| (311) $false
% 46.76/16.04  																																																				|
% 46.76/16.04  																																																				|-The branch is then unsatisfiable
% 46.76/16.04  																																																			|-Branch two:
% 46.76/16.04  																																																			| (467)  ~ (all_0_90_90 = e4)
% 46.76/16.04  																																																			| (894) all_0_95_95 = e4
% 46.76/16.04  																																																			|
% 46.76/16.04  																																																				| From (894) and (976) follows:
% 46.76/16.05  																																																				| (35438) op(e3, e4) = e0
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				+-Applying beta-rule and splitting (835), into two cases.
% 46.76/16.05  																																																				|-Branch one:
% 46.76/16.05  																																																				| (836) all_0_92_92 = e1
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																					| Combining equations (882,836) yields a new equation:
% 46.76/16.05  																																																					| (825) e3 = e1
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Simplifying 825 yields:
% 46.76/16.05  																																																					| (772) e3 = e1
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Equations (772) can reduce 20 to:
% 46.76/16.05  																																																					| (311) $false
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					|-The branch is then unsatisfiable
% 46.76/16.05  																																																				|-Branch two:
% 46.76/16.05  																																																				| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.05  																																																				| (542) all_0_97_97 = e1
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																					| Equations (542) can reduce 609 to:
% 46.76/16.05  																																																					| (264)  ~ (e1 = e0)
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Instantiating formula (262) with e3, e4, all_0_72_72, e1 and discharging atoms op(e3, e4) = all_0_72_72, op(e3, e4) = e1, yields:
% 46.76/16.05  																																																					| (845) all_0_72_72 = e1
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Instantiating formula (262) with e3, e4, e0, all_0_72_72 and discharging atoms op(e3, e4) = all_0_72_72, op(e3, e4) = e0, yields:
% 46.76/16.05  																																																					| (10076) all_0_72_72 = e0
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Combining equations (845,10076) yields a new equation:
% 46.76/16.05  																																																					| (1107) e1 = e0
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Simplifying 1107 yields:
% 46.76/16.05  																																																					| (865) e1 = e0
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					| Equations (865) can reduce 264 to:
% 46.76/16.05  																																																					| (311) $false
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					|-The branch is then unsatisfiable
% 46.76/16.05  																																																	|-Branch two:
% 46.76/16.05  																																																	| (420)  ~ (all_0_81_81 = e3)
% 46.76/16.05  																																																	| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.76/16.05  																																																	|
% 46.76/16.05  																																																		+-Applying beta-rule and splitting (788), into two cases.
% 46.76/16.05  																																																		|-Branch one:
% 46.76/16.05  																																																		| (960) all_0_96_96 = e1
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																			| Combining equations (778,960) yields a new equation:
% 46.76/16.05  																																																			| (825) e3 = e1
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			| Simplifying 825 yields:
% 46.76/16.05  																																																			| (772) e3 = e1
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			| Equations (772) can reduce 20 to:
% 46.76/16.05  																																																			| (311) $false
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			|-The branch is then unsatisfiable
% 46.76/16.05  																																																		|-Branch two:
% 46.76/16.05  																																																		| (1479)  ~ (all_0_96_96 = e1)
% 46.76/16.05  																																																		| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																			+-Applying beta-rule and splitting (2126), into two cases.
% 46.76/16.05  																																																			|-Branch one:
% 46.76/16.05  																																																			| (542) all_0_97_97 = e1
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																				| Equations (542) can reduce 105 to:
% 46.76/16.05  																																																				| (680)  ~ (all_0_95_95 = e1)
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				| Equations (542) can reduce 428 to:
% 46.76/16.05  																																																				| (683)  ~ (e3 = e1)
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				| Simplifying 683 yields:
% 46.76/16.05  																																																				| (20)  ~ (e3 = e1)
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				+-Applying beta-rule and splitting (99), into two cases.
% 46.76/16.05  																																																				|-Branch one:
% 46.76/16.05  																																																				| (767) all_0_95_95 = e2
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																					| Equations (767) can reduce 355 to:
% 46.76/16.05  																																																					| (311) $false
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																					|-The branch is then unsatisfiable
% 46.76/16.05  																																																				|-Branch two:
% 46.76/16.05  																																																				| (355)  ~ (all_0_95_95 = e2)
% 46.76/16.05  																																																				| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																					+-Applying beta-rule and splitting (770), into two cases.
% 46.76/16.05  																																																					|-Branch one:
% 46.76/16.05  																																																					| (785) all_0_95_95 = e1
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																						| Equations (785) can reduce 680 to:
% 46.76/16.05  																																																						| (311) $false
% 46.76/16.05  																																																						|
% 46.76/16.05  																																																						|-The branch is then unsatisfiable
% 46.76/16.05  																																																					|-Branch two:
% 46.76/16.05  																																																					| (680)  ~ (all_0_95_95 = e1)
% 46.76/16.05  																																																					| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.76/16.05  																																																					|
% 46.76/16.05  																																																						+-Applying beta-rule and splitting (853), into two cases.
% 46.76/16.05  																																																						|-Branch one:
% 46.76/16.05  																																																						| (744) all_0_95_95 = e3
% 46.76/16.05  																																																						|
% 46.76/16.05  																																																							| Equations (744) can reduce 765 to:
% 46.76/16.05  																																																							| (311) $false
% 46.76/16.05  																																																							|
% 46.76/16.05  																																																							|-The branch is then unsatisfiable
% 46.76/16.05  																																																						|-Branch two:
% 46.76/16.05  																																																						| (765)  ~ (all_0_95_95 = e3)
% 46.76/16.05  																																																						| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.76/16.05  																																																						|
% 46.76/16.05  																																																							+-Applying beta-rule and splitting (857), into two cases.
% 46.76/16.05  																																																							|-Branch one:
% 46.76/16.05  																																																							| (858) all_0_95_95 = e0
% 46.76/16.05  																																																							|
% 46.76/16.05  																																																								| Equations (858) can reduce 893 to:
% 46.76/16.05  																																																								| (311) $false
% 46.76/16.05  																																																								|
% 46.76/16.05  																																																								|-The branch is then unsatisfiable
% 46.76/16.05  																																																							|-Branch two:
% 46.76/16.05  																																																							| (893)  ~ (all_0_95_95 = e0)
% 46.76/16.05  																																																							| (894) all_0_95_95 = e4
% 46.76/16.05  																																																							|
% 46.76/16.05  																																																								| Equations (894) can reduce 765 to:
% 46.76/16.05  																																																								| (177)  ~ (e4 = e3)
% 46.76/16.05  																																																								|
% 46.76/16.05  																																																								+-Applying beta-rule and splitting (1756), into two cases.
% 46.76/16.05  																																																								|-Branch one:
% 46.76/16.05  																																																								| (1708) all_0_79_79 = e3
% 46.76/16.05  																																																								|
% 46.76/16.05  																																																									| Combining equations (1708,457) yields a new equation:
% 46.76/16.05  																																																									| (825) e3 = e1
% 46.76/16.05  																																																									|
% 46.76/16.05  																																																									| Simplifying 825 yields:
% 46.76/16.05  																																																									| (772) e3 = e1
% 46.76/16.05  																																																									|
% 46.76/16.05  																																																									| Equations (772) can reduce 20 to:
% 46.76/16.05  																																																									| (311) $false
% 46.76/16.05  																																																									|
% 46.76/16.05  																																																									|-The branch is then unsatisfiable
% 46.76/16.05  																																																								|-Branch two:
% 46.76/16.05  																																																								| (1711)  ~ (all_0_79_79 = e3)
% 46.76/16.05  																																																								| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.76/16.05  																																																								|
% 46.76/16.05  																																																									+-Applying beta-rule and splitting (1768), into two cases.
% 46.76/16.05  																																																									|-Branch one:
% 46.76/16.05  																																																									| (416) all_0_80_80 = e3
% 46.76/16.05  																																																									|
% 46.76/16.05  																																																										| Combining equations (416,433) yields a new equation:
% 46.76/16.05  																																																										| (434) e4 = e3
% 46.76/16.05  																																																										|
% 46.76/16.05  																																																										| Equations (434) can reduce 177 to:
% 46.76/16.05  																																																										| (311) $false
% 46.76/16.05  																																																										|
% 46.76/16.05  																																																										|-The branch is then unsatisfiable
% 46.76/16.05  																																																									|-Branch two:
% 46.76/16.05  																																																									| (2347)  ~ (all_0_80_80 = e3)
% 46.76/16.05  																																																									| (635) all_0_81_81 = e3
% 46.76/16.05  																																																									|
% 46.76/16.05  																																																										| Equations (635) can reduce 420 to:
% 46.76/16.05  																																																										| (311) $false
% 46.76/16.05  																																																										|
% 46.76/16.05  																																																										|-The branch is then unsatisfiable
% 46.76/16.05  																																																			|-Branch two:
% 46.76/16.05  																																																			| (486)  ~ (all_0_97_97 = e1)
% 46.76/16.05  																																																			| (1543) all_0_98_98 = e1
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																				| Combining equations (1121,1543) yields a new equation:
% 46.76/16.05  																																																				| (865) e1 = e0
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				| Equations (865) can reduce 264 to:
% 46.76/16.05  																																																				| (311) $false
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				|-The branch is then unsatisfiable
% 46.76/16.05  																																															|-Branch two:
% 46.76/16.05  																																															| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.05  																																															| (638) all_0_81_81 = e4
% 46.76/16.05  																																															|
% 46.76/16.05  																																																| Equations (638) can reduce 634 to:
% 46.76/16.05  																																																| (311) $false
% 46.76/16.05  																																																|
% 46.76/16.05  																																																|-The branch is then unsatisfiable
% 46.76/16.05  																																												|-Branch two:
% 46.76/16.05  																																												| (678)  ~ (all_0_90_90 = e1)
% 46.76/16.05  																																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.76/16.05  																																												|
% 46.76/16.05  																																													+-Applying beta-rule and splitting (188), into two cases.
% 46.76/16.05  																																													|-Branch one:
% 46.76/16.05  																																													| (676) all_0_78_78 = e1
% 46.76/16.05  																																													|
% 46.76/16.05  																																														| Combining equations (676,400) yields a new equation:
% 46.76/16.05  																																														| (385) e2 = e1
% 46.76/16.05  																																														|
% 46.76/16.05  																																														| Equations (385) can reduce 243 to:
% 46.76/16.05  																																														| (311) $false
% 46.76/16.05  																																														|
% 46.76/16.05  																																														|-The branch is then unsatisfiable
% 46.76/16.05  																																													|-Branch two:
% 46.76/16.05  																																													| (1601)  ~ (all_0_78_78 = e1)
% 46.76/16.05  																																													| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.76/16.05  																																													|
% 46.76/16.05  																																														+-Applying beta-rule and splitting (1718), into two cases.
% 46.76/16.05  																																														|-Branch one:
% 46.76/16.05  																																														| (384) all_0_86_86 = e1
% 46.76/16.05  																																														|
% 46.76/16.05  																																															| Combining equations (378,384) yields a new equation:
% 46.76/16.05  																																															| (865) e1 = e0
% 46.76/16.05  																																															|
% 46.76/16.05  																																															| Equations (865) can reduce 264 to:
% 46.76/16.05  																																															| (311) $false
% 46.76/16.05  																																															|
% 46.76/16.05  																																															|-The branch is then unsatisfiable
% 46.76/16.05  																																														|-Branch two:
% 46.76/16.05  																																														| (387)  ~ (all_0_86_86 = e1)
% 46.76/16.05  																																														| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.76/16.05  																																														|
% 46.76/16.05  																																															+-Applying beta-rule and splitting (2122), into two cases.
% 46.76/16.05  																																															|-Branch one:
% 46.76/16.05  																																															| (750) all_0_90_90 = e1
% 46.76/16.05  																																															|
% 46.76/16.05  																																																| Equations (750) can reduce 678 to:
% 46.76/16.05  																																																| (311) $false
% 46.76/16.05  																																																|
% 46.76/16.05  																																																|-The branch is then unsatisfiable
% 46.76/16.05  																																															|-Branch two:
% 46.76/16.05  																																															| (678)  ~ (all_0_90_90 = e1)
% 46.76/16.05  																																															| (785) all_0_95_95 = e1
% 46.76/16.05  																																															|
% 46.76/16.05  																																																+-Applying beta-rule and splitting (45), into two cases.
% 46.76/16.05  																																																|-Branch one:
% 46.76/16.05  																																																| (546) all_0_80_80 = e2
% 46.76/16.05  																																																|
% 46.76/16.05  																																																	| Equations (546) can reduce 394 to:
% 46.76/16.05  																																																	| (311) $false
% 46.76/16.05  																																																	|
% 46.76/16.05  																																																	|-The branch is then unsatisfiable
% 46.76/16.05  																																																|-Branch two:
% 46.76/16.05  																																																| (394)  ~ (all_0_80_80 = e2)
% 46.76/16.05  																																																| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.76/16.05  																																																|
% 46.76/16.05  																																																	+-Applying beta-rule and splitting (4), into two cases.
% 46.76/16.05  																																																	|-Branch one:
% 46.76/16.05  																																																	| (463) all_0_78_78 = e4
% 46.76/16.05  																																																	|
% 46.76/16.05  																																																		| Combining equations (463,400) yields a new equation:
% 46.76/16.05  																																																		| (309) e4 = e2
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																		| Simplifying 309 yields:
% 46.76/16.05  																																																		| (310) e4 = e2
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																		| Equations (310) can reduce 79 to:
% 46.76/16.05  																																																		| (311) $false
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																		|-The branch is then unsatisfiable
% 46.76/16.05  																																																	|-Branch two:
% 46.76/16.05  																																																	| (640)  ~ (all_0_78_78 = e4)
% 46.76/16.05  																																																	| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.76/16.05  																																																	|
% 46.76/16.05  																																																		| Equations (400) can reduce 640 to:
% 46.76/16.05  																																																		| (528)  ~ (e4 = e2)
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																		| Simplifying 528 yields:
% 46.76/16.05  																																																		| (79)  ~ (e4 = e2)
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																		+-Applying beta-rule and splitting (140), into two cases.
% 46.76/16.05  																																																		|-Branch one:
% 46.76/16.05  																																																		| (313) all_0_94_94 = e4
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																			| Combining equations (313,1757) yields a new equation:
% 46.76/16.05  																																																			| (309) e4 = e2
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			| Simplifying 309 yields:
% 46.76/16.05  																																																			| (310) e4 = e2
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			| Equations (310) can reduce 79 to:
% 46.76/16.05  																																																			| (311) $false
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																			|-The branch is then unsatisfiable
% 46.76/16.05  																																																		|-Branch two:
% 46.76/16.05  																																																		| (34849)  ~ (all_0_94_94 = e4)
% 46.76/16.05  																																																		| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.76/16.05  																																																		|
% 46.76/16.05  																																																			+-Applying beta-rule and splitting (34850), into two cases.
% 46.76/16.05  																																																			|-Branch one:
% 46.76/16.05  																																																			| (894) all_0_95_95 = e4
% 46.76/16.05  																																																			|
% 46.76/16.05  																																																				| Combining equations (894,785) yields a new equation:
% 46.76/16.05  																																																				| (813) e4 = e1
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				| Simplifying 813 yields:
% 46.76/16.05  																																																				| (814) e4 = e1
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				| Equations (814) can reduce 256 to:
% 46.76/16.05  																																																				| (311) $false
% 46.76/16.05  																																																				|
% 46.76/16.05  																																																				|-The branch is then unsatisfiable
% 46.76/16.05  																																																			|-Branch two:
% 46.76/16.05  																																																			| (315)  ~ (all_0_95_95 = e4)
% 46.76/16.05  																																																			| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.76/16.05  																																																			|
% 46.76/16.06  																																																				+-Applying beta-rule and splitting (34882), into two cases.
% 46.76/16.06  																																																				|-Branch one:
% 46.76/16.06  																																																				| (610) all_0_97_97 = e4
% 46.76/16.06  																																																				|
% 46.76/16.06  																																																					| Equations (610) can reduce 202 to:
% 46.76/16.06  																																																					| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																					+-Applying beta-rule and splitting (3232), into two cases.
% 46.76/16.06  																																																					|-Branch one:
% 46.76/16.06  																																																					| (824) all_0_80_80 = e1
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																						| Equations (824) can reduce 828 to:
% 46.76/16.06  																																																						| (311) $false
% 46.76/16.06  																																																						|
% 46.76/16.06  																																																						|-The branch is then unsatisfiable
% 46.76/16.06  																																																					|-Branch two:
% 46.76/16.06  																																																					| (828)  ~ (all_0_80_80 = e1)
% 46.76/16.06  																																																					| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																						+-Applying beta-rule and splitting (4018), into two cases.
% 46.76/16.06  																																																						|-Branch one:
% 46.76/16.06  																																																						| (416) all_0_80_80 = e3
% 46.76/16.06  																																																						|
% 46.76/16.06  																																																							| Equations (416) can reduce 2347 to:
% 46.76/16.06  																																																							| (311) $false
% 46.76/16.06  																																																							|
% 46.76/16.06  																																																							|-The branch is then unsatisfiable
% 46.76/16.06  																																																						|-Branch two:
% 46.76/16.06  																																																						| (2347)  ~ (all_0_80_80 = e3)
% 46.76/16.06  																																																						| (433) all_0_80_80 = e4
% 46.76/16.06  																																																						|
% 46.76/16.06  																																																							| Equations (433) can reduce 436 to:
% 46.76/16.06  																																																							| (311) $false
% 46.76/16.06  																																																							|
% 46.76/16.06  																																																							|-The branch is then unsatisfiable
% 46.76/16.06  																																																				|-Branch two:
% 46.76/16.06  																																																				| (319)  ~ (all_0_97_97 = e4)
% 46.76/16.06  																																																				| (2650) all_0_98_98 = e4
% 46.76/16.06  																																																				|
% 46.76/16.06  																																																					| Combining equations (2650,1121) yields a new equation:
% 46.76/16.06  																																																					| (911) e4 = e0
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																					| Simplifying 911 yields:
% 46.76/16.06  																																																					| (912) e4 = e0
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																					| Equations (912) can reduce 23 to:
% 46.76/16.06  																																																					| (311) $false
% 46.76/16.06  																																																					|
% 46.76/16.06  																																																					|-The branch is then unsatisfiable
% 46.76/16.06  																																										|-Branch two:
% 46.76/16.06  																																										| (426)  ~ (all_0_92_92 = e3)
% 46.76/16.06  																																										| (570) all_0_93_93 = e3
% 46.76/16.06  																																										|
% 46.76/16.06  																																											| Combining equations (570,522) yields a new equation:
% 46.76/16.06  																																											| (547) e3 = e2
% 46.76/16.06  																																											|
% 46.76/16.06  																																											| Simplifying 547 yields:
% 46.76/16.06  																																											| (548) e3 = e2
% 46.76/16.06  																																											|
% 46.76/16.06  																																											| Equations (548) can reduce 169 to:
% 46.76/16.06  																																											| (311) $false
% 46.76/16.06  																																											|
% 46.76/16.06  																																											|-The branch is then unsatisfiable
% 46.76/16.06  																																							|-Branch two:
% 46.76/16.06  																																							| (793)  ~ (all_0_82_82 = e3)
% 46.76/16.06  																																							| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.76/16.06  																																							|
% 46.76/16.06  																																								+-Applying beta-rule and splitting (2205), into two cases.
% 46.76/16.06  																																								|-Branch one:
% 46.76/16.06  																																								| (789) all_0_82_82 = e3
% 46.76/16.06  																																								|
% 46.76/16.06  																																									| Equations (789) can reduce 793 to:
% 46.76/16.06  																																									| (311) $false
% 46.76/16.06  																																									|
% 46.76/16.06  																																									|-The branch is then unsatisfiable
% 46.76/16.06  																																								|-Branch two:
% 46.76/16.06  																																								| (793)  ~ (all_0_82_82 = e3)
% 46.76/16.06  																																								| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.76/16.06  																																								|
% 46.76/16.06  																																									+-Applying beta-rule and splitting (2706), into two cases.
% 46.76/16.06  																																									|-Branch one:
% 46.76/16.06  																																									| (910) all_0_82_82 = e0
% 46.76/16.06  																																									|
% 46.76/16.06  																																										| Equations (910) can reduce 914 to:
% 46.76/16.06  																																										| (311) $false
% 46.76/16.06  																																										|
% 46.76/16.06  																																										|-The branch is then unsatisfiable
% 46.76/16.06  																																									|-Branch two:
% 46.76/16.06  																																									| (914)  ~ (all_0_82_82 = e0)
% 46.76/16.06  																																									| (469) all_0_82_82 = e4
% 46.76/16.06  																																									|
% 46.76/16.06  																																										| Equations (469) can reduce 465 to:
% 46.76/16.06  																																										| (311) $false
% 46.76/16.06  																																										|
% 46.76/16.06  																																										|-The branch is then unsatisfiable
% 46.76/16.06  																																				|-Branch two:
% 46.76/16.06  																																				| (964)  ~ (all_0_96_96 = e3)
% 46.76/16.06  																																				| (1837) all_0_96_96 = e0
% 46.76/16.06  																																				|
% 46.76/16.06  																																					| Equations (1837) can reduce 2095 to:
% 46.76/16.06  																																					| (311) $false
% 46.76/16.06  																																					|
% 46.76/16.06  																																					|-The branch is then unsatisfiable
% 46.76/16.06  																																		|-Branch two:
% 46.76/16.06  																																		| (1487)  ~ (all_0_91_91 = e0)
% 46.76/16.06  																																		| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.76/16.06  																																		|
% 46.76/16.06  																																			+-Applying beta-rule and splitting (1488), into two cases.
% 46.76/16.06  																																			|-Branch one:
% 46.76/16.06  																																			| (942) all_0_92_92 = e0
% 46.76/16.06  																																			|
% 46.76/16.06  																																				| Equations (942) can reduce 946 to:
% 46.76/16.06  																																				| (311) $false
% 46.76/16.06  																																				|
% 46.76/16.06  																																				|-The branch is then unsatisfiable
% 46.76/16.06  																																			|-Branch two:
% 46.76/16.06  																																			| (946)  ~ (all_0_92_92 = e0)
% 46.76/16.06  																																			| (604) all_0_93_93 = e0
% 46.76/16.06  																																			|
% 46.76/16.06  																																				| Combining equations (522,604) yields a new equation:
% 46.76/16.06  																																				| (923) e2 = e0
% 46.76/16.06  																																				|
% 46.76/16.06  																																				| Simplifying 923 yields:
% 46.76/16.06  																																				| (379) e2 = e0
% 46.76/16.06  																																				|
% 46.76/16.06  																																				| Equations (379) can reduce 76 to:
% 46.76/16.06  																																				| (311) $false
% 46.76/16.06  																																				|
% 46.76/16.06  																																				|-The branch is then unsatisfiable
% 46.76/16.06  																																	|-Branch two:
% 46.76/16.06  																																	| (919)  ~ (all_0_84_84 = e0)
% 46.76/16.06  																																	| (954) all_0_85_85 = e0
% 46.76/16.06  																																	|
% 46.76/16.06  																																		| Equations (954) can reduce 800 to:
% 46.76/16.06  																																		| (311) $false
% 46.76/16.06  																																		|
% 46.76/16.06  																																		|-The branch is then unsatisfiable
% 46.76/16.06  																			|-Branch two:
% 46.76/16.06  																			| (461)  ~ (all_0_79_79 = e1)
% 46.76/16.06  																			| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 46.76/16.06  																			|
% 46.76/16.06  																				+-Applying beta-rule and splitting (1623), into two cases.
% 46.76/16.06  																				|-Branch one:
% 46.76/16.06  																				| (457) all_0_79_79 = e1
% 46.76/16.06  																				|
% 46.76/16.06  																					| Equations (457) can reduce 461 to:
% 46.76/16.06  																					| (311) $false
% 46.76/16.06  																					|
% 46.76/16.06  																					|-The branch is then unsatisfiable
% 46.76/16.06  																				|-Branch two:
% 46.76/16.06  																				| (461)  ~ (all_0_79_79 = e1)
% 46.76/16.06  																				| (1708) all_0_79_79 = e3
% 46.76/16.06  																				|
% 46.76/16.06  																					| Equations (1708) can reduce 15 to:
% 46.76/16.06  																					| (419)  ~ (all_0_81_81 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Simplifying 419 yields:
% 46.76/16.06  																					| (420)  ~ (all_0_81_81 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Equations (1708) can reduce 17 to:
% 46.76/16.06  																					| (1298)  ~ (all_0_91_91 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Simplifying 1298 yields:
% 46.76/16.06  																					| (571)  ~ (all_0_91_91 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Equations (1708) can reduce 214 to:
% 46.76/16.06  																					| (1300)  ~ (all_0_96_96 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Simplifying 1300 yields:
% 46.76/16.06  																					| (964)  ~ (all_0_96_96 = e3)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Equations (1708) can reduce 1622 to:
% 46.76/16.06  																					| (169)  ~ (e3 = e2)
% 46.76/16.06  																					|
% 46.76/16.06  																					| Equations (1708) can reduce 461 to:
% 46.76/16.06  																					| (20)  ~ (e3 = e1)
% 46.76/16.06  																					|
% 46.76/16.06  																					| From (1708) and (184) follows:
% 46.76/16.06  																					| (11003) op(e2, e3) = all_0_52_52
% 46.76/16.06  																					|
% 46.76/16.06  																					+-Applying beta-rule and splitting (1602), into two cases.
% 46.76/16.06  																					|-Branch one:
% 46.76/16.06  																					| (457) all_0_79_79 = e1
% 46.76/16.06  																					|
% 46.76/16.06  																						| Combining equations (1708,457) yields a new equation:
% 46.76/16.06  																						| (825) e3 = e1
% 46.76/16.06  																						|
% 46.76/16.06  																						| Simplifying 825 yields:
% 46.76/16.06  																						| (772) e3 = e1
% 46.76/16.06  																						|
% 46.76/16.06  																						| Equations (772) can reduce 20 to:
% 46.76/16.06  																						| (311) $false
% 46.76/16.06  																						|
% 46.76/16.06  																						|-The branch is then unsatisfiable
% 46.76/16.06  																					|-Branch two:
% 46.76/16.06  																					| (461)  ~ (all_0_79_79 = e1)
% 46.76/16.06  																					| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 46.76/16.06  																					|
% 46.76/16.06  																						+-Applying beta-rule and splitting (8180), into two cases.
% 46.76/16.06  																						|-Branch one:
% 46.76/16.06  																						| (824) all_0_80_80 = e1
% 46.76/16.06  																						|
% 46.76/16.06  																							| Equations (824) can reduce 273 to:
% 46.76/16.06  																							| (36149)  ~ (all_0_84_84 = e1)
% 46.76/16.06  																							|
% 46.76/16.06  																							| Simplifying 36149 yields:
% 46.76/16.06  																							| (259)  ~ (all_0_84_84 = e1)
% 46.76/16.06  																							|
% 46.76/16.06  																							| Equations (824) can reduce 49 to:
% 46.76/16.06  																							| (2131)  ~ (all_0_92_92 = e1)
% 46.76/16.06  																							|
% 46.76/16.07  																							| Simplifying 2131 yields:
% 46.76/16.07  																							| (840)  ~ (all_0_92_92 = e1)
% 46.76/16.07  																							|
% 46.76/16.07  																							| Equations (824) can reduce 202 to:
% 46.76/16.07  																							| (485)  ~ (all_0_97_97 = e1)
% 46.76/16.07  																							|
% 46.76/16.07  																							| Simplifying 485 yields:
% 46.76/16.07  																							| (486)  ~ (all_0_97_97 = e1)
% 46.76/16.07  																							|
% 46.76/16.07  																							| From (824) and (233) follows:
% 46.76/16.07  																							| (10739) op(e1, e1) = all_0_60_60
% 46.76/16.07  																							|
% 46.76/16.07  																							+-Applying beta-rule and splitting (641), into two cases.
% 46.76/16.07  																							|-Branch one:
% 46.76/16.07  																							| (433) all_0_80_80 = e4
% 46.76/16.07  																							|
% 46.76/16.07  																								| Combining equations (824,433) yields a new equation:
% 46.76/16.07  																								| (814) e4 = e1
% 46.76/16.07  																								|
% 46.76/16.07  																								| Equations (814) can reduce 256 to:
% 46.76/16.07  																								| (311) $false
% 46.76/16.07  																								|
% 46.76/16.07  																								|-The branch is then unsatisfiable
% 46.76/16.07  																							|-Branch two:
% 46.76/16.07  																							| (436)  ~ (all_0_80_80 = e4)
% 46.76/16.07  																							| (638) all_0_81_81 = e4
% 46.76/16.07  																							|
% 46.76/16.07  																								| Equations (638) can reduce 118 to:
% 46.76/16.07  																								| (647)  ~ (all_0_85_85 = e4)
% 46.76/16.07  																								|
% 46.76/16.07  																								| Simplifying 647 yields:
% 46.76/16.07  																								| (648)  ~ (all_0_85_85 = e4)
% 46.76/16.07  																								|
% 46.76/16.07  																								| Equations (638) can reduce 5 to:
% 46.76/16.07  																								| (320)  ~ (all_0_98_98 = e4)
% 46.76/16.07  																								|
% 46.76/16.07  																								| Simplifying 320 yields:
% 46.76/16.07  																								| (321)  ~ (all_0_98_98 = e4)
% 46.76/16.07  																								|
% 46.76/16.07  																								| Equations (638) can reduce 420 to:
% 46.76/16.07  																								| (177)  ~ (e4 = e3)
% 46.76/16.07  																								|
% 46.76/16.07  																								| Equations (638) can reduce 257 to:
% 46.76/16.07  																								| (23)  ~ (e4 = e0)
% 46.76/16.07  																								|
% 46.76/16.07  																								| From (638) and (145) follows:
% 46.76/16.07  																								| (30704) op(e0, e4) = all_0_69_69
% 46.76/16.07  																								|
% 46.76/16.07  																								| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 46.76/16.07  																								| (11070) all_0_52_52 = e0
% 46.76/16.07  																								|
% 46.76/16.07  																								| Instantiating formula (262) with e1, e1, all_0_60_60, all_0_92_92 and discharging atoms op(e1, e1) = all_0_60_60, op(e1, e1) = all_0_92_92, yields:
% 46.76/16.07  																								| (36169) all_0_60_60 = all_0_92_92
% 46.76/16.07  																								|
% 46.76/16.07  																								| Instantiating formula (262) with e0, e4, all_0_69_69, e2 and discharging atoms op(e0, e4) = all_0_69_69, op(e0, e4) = e2, yields:
% 46.76/16.07  																								| (18072) all_0_69_69 = e2
% 46.76/16.07  																								|
% 46.76/16.07  																								+-Applying beta-rule and splitting (33), into two cases.
% 46.76/16.07  																								|-Branch one:
% 46.76/16.07  																								| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 46.76/16.07  																								|
% 46.76/16.07  																									+-Applying beta-rule and splitting (1686), into two cases.
% 46.76/16.07  																									|-Branch one:
% 46.76/16.07  																									| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 46.76/16.07  																									|
% 46.76/16.07  																										+-Applying beta-rule and splitting (1687), into two cases.
% 46.76/16.07  																										|-Branch one:
% 46.76/16.07  																										| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 46.76/16.07  																										|
% 46.76/16.07  																											| Applying alpha-rule on (1688) yields:
% 46.76/16.07  																											| (1689) all_0_52_52 = e4
% 46.76/16.07  																											| (1690)  ~ (all_0_53_53 = e2)
% 46.76/16.07  																											|
% 46.76/16.07  																											| Combining equations (1689,11070) yields a new equation:
% 46.76/16.07  																											| (911) e4 = e0
% 46.76/16.07  																											|
% 46.76/16.07  																											| Simplifying 911 yields:
% 46.76/16.07  																											| (912) e4 = e0
% 46.76/16.07  																											|
% 46.76/16.07  																											| Equations (912) can reduce 23 to:
% 46.76/16.07  																											| (311) $false
% 46.76/16.07  																											|
% 46.76/16.07  																											|-The branch is then unsatisfiable
% 46.76/16.07  																										|-Branch two:
% 46.76/16.07  																										| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 46.76/16.07  																										|
% 46.76/16.07  																											| Applying alpha-rule on (1694) yields:
% 46.76/16.07  																											| (1695) all_0_54_54 = e3
% 46.76/16.07  																											| (1696)  ~ (all_0_55_55 = e2)
% 46.76/16.07  																											|
% 46.76/16.07  																											| Combining equations (1695,1647) yields a new equation:
% 46.76/16.07  																											| (434) e4 = e3
% 46.76/16.07  																											|
% 46.76/16.07  																											| Equations (434) can reduce 177 to:
% 46.76/16.07  																											| (311) $false
% 46.76/16.07  																											|
% 46.76/16.07  																											|-The branch is then unsatisfiable
% 46.76/16.07  																									|-Branch two:
% 46.76/16.07  																									| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 46.76/16.07  																									|
% 46.76/16.07  																										| Applying alpha-rule on (1700) yields:
% 46.76/16.07  																										| (1701) all_0_56_56 = e1
% 46.76/16.07  																										| (1702)  ~ (all_0_57_57 = e2)
% 46.76/16.07  																										|
% 46.76/16.07  																										| From (1701) and (222) follows:
% 46.76/16.07  																										| (1703) op(e2, all_0_91_91) = e1
% 46.76/16.07  																										|
% 46.76/16.07  																										+-Applying beta-rule and splitting (109), into two cases.
% 46.76/16.07  																										|-Branch one:
% 46.76/16.07  																										| (469) all_0_82_82 = e4
% 46.76/16.07  																										|
% 46.85/16.07  																											| Equations (469) can reduce 255 to:
% 46.85/16.07  																											| (466)  ~ (all_0_90_90 = e4)
% 46.85/16.07  																											|
% 46.85/16.07  																											| Simplifying 466 yields:
% 46.85/16.07  																											| (467)  ~ (all_0_90_90 = e4)
% 46.85/16.07  																											|
% 46.85/16.07  																											| Equations (469) can reduce 200 to:
% 46.85/16.07  																											| (314)  ~ (all_0_95_95 = e4)
% 46.85/16.07  																											|
% 46.85/16.07  																											| Simplifying 314 yields:
% 46.85/16.07  																											| (315)  ~ (all_0_95_95 = e4)
% 46.85/16.07  																											|
% 46.85/16.07  																											| Equations (469) can reduce 347 to:
% 46.85/16.07  																											| (79)  ~ (e4 = e2)
% 46.85/16.07  																											|
% 46.85/16.07  																											| Equations (469) can reduce 914 to:
% 46.85/16.07  																											| (23)  ~ (e4 = e0)
% 46.85/16.07  																											|
% 46.85/16.07  																											+-Applying beta-rule and splitting (140), into two cases.
% 46.85/16.07  																											|-Branch one:
% 46.85/16.07  																											| (313) all_0_94_94 = e4
% 46.85/16.07  																											|
% 46.85/16.07  																												| Combining equations (1757,313) yields a new equation:
% 46.85/16.07  																												| (310) e4 = e2
% 46.85/16.07  																												|
% 46.85/16.07  																												| Equations (310) can reduce 79 to:
% 46.85/16.07  																												| (311) $false
% 46.85/16.07  																												|
% 46.85/16.07  																												|-The branch is then unsatisfiable
% 46.85/16.07  																											|-Branch two:
% 46.85/16.07  																											| (34849)  ~ (all_0_94_94 = e4)
% 46.85/16.07  																											| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.85/16.07  																											|
% 46.85/16.07  																												+-Applying beta-rule and splitting (34850), into two cases.
% 46.85/16.07  																												|-Branch one:
% 46.85/16.07  																												| (894) all_0_95_95 = e4
% 46.85/16.07  																												|
% 46.85/16.07  																													| Equations (894) can reduce 315 to:
% 46.85/16.07  																													| (311) $false
% 46.85/16.07  																													|
% 46.85/16.07  																													|-The branch is then unsatisfiable
% 46.85/16.07  																												|-Branch two:
% 46.85/16.07  																												| (315)  ~ (all_0_95_95 = e4)
% 46.85/16.07  																												| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.85/16.07  																												|
% 46.85/16.07  																													+-Applying beta-rule and splitting (34882), into two cases.
% 46.85/16.07  																													|-Branch one:
% 46.85/16.07  																													| (610) all_0_97_97 = e4
% 46.85/16.07  																													|
% 46.85/16.07  																														| Equations (610) can reduce 195 to:
% 46.85/16.07  																														| (417)  ~ (all_0_84_84 = e4)
% 46.85/16.07  																														|
% 46.85/16.07  																														| Equations (610) can reduce 258 to:
% 46.85/16.07  																														| (1619)  ~ (all_0_92_92 = e4)
% 46.85/16.07  																														|
% 46.85/16.07  																														| Equations (610) can reduce 105 to:
% 46.85/16.07  																														| (315)  ~ (all_0_95_95 = e4)
% 46.85/16.07  																														|
% 46.85/16.07  																														| From (610) and (252) follows:
% 46.85/16.08  																														| (30644) op(e1, e4) = all_0_67_67
% 46.85/16.08  																														|
% 46.85/16.08  																														| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 46.85/16.08  																														| (3520) all_0_67_67 = e4
% 46.85/16.08  																														|
% 46.85/16.08  																														+-Applying beta-rule and splitting (276), into two cases.
% 46.85/16.08  																														|-Branch one:
% 46.85/16.08  																														| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 46.85/16.08  																														|
% 46.85/16.08  																															+-Applying beta-rule and splitting (577), into two cases.
% 46.85/16.08  																															|-Branch one:
% 46.85/16.08  																															| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 46.85/16.08  																															|
% 46.85/16.08  																																+-Applying beta-rule and splitting (578), into two cases.
% 46.85/16.08  																																|-Branch one:
% 46.85/16.08  																																| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 46.85/16.08  																																|
% 46.85/16.08  																																	| Applying alpha-rule on (579) yields:
% 46.85/16.08  																																	| (580) all_0_60_60 = e4
% 46.85/16.08  																																	| (581)  ~ (all_0_61_61 = e1)
% 46.85/16.08  																																	|
% 46.85/16.08  																																	| Combining equations (580,36169) yields a new equation:
% 46.85/16.08  																																	| (442) all_0_92_92 = e4
% 46.85/16.08  																																	|
% 46.85/16.08  																																	| Equations (442) can reduce 1619 to:
% 46.85/16.08  																																	| (311) $false
% 46.85/16.08  																																	|
% 46.85/16.08  																																	|-The branch is then unsatisfiable
% 46.85/16.08  																																|-Branch two:
% 46.85/16.08  																																| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 46.85/16.08  																																|
% 46.85/16.08  																																	| Applying alpha-rule on (585) yields:
% 46.85/16.08  																																	| (586) all_0_62_62 = e3
% 46.85/16.08  																																	| (587)  ~ (all_0_63_63 = e1)
% 46.85/16.08  																																	|
% 46.85/16.08  																																	| From (586) and (122) follows:
% 46.85/16.08  																																	| (5563) op(e1, all_0_84_84) = e3
% 46.85/16.08  																																	|
% 46.85/16.08  																																	+-Applying beta-rule and splitting (282), into two cases.
% 46.85/16.08  																																	|-Branch one:
% 46.85/16.08  																																	| (754) all_0_90_90 = e3
% 46.85/16.08  																																	|
% 46.85/16.08  																																		| Equations (754) can reduce 103 to:
% 46.85/16.08  																																		| (1298)  ~ (all_0_91_91 = e3)
% 46.85/16.08  																																		|
% 46.85/16.08  																																		| Simplifying 1298 yields:
% 46.85/16.08  																																		| (571)  ~ (all_0_91_91 = e3)
% 46.85/16.08  																																		|
% 46.85/16.08  																																		| Equations (754) can reduce 229 to:
% 46.85/16.08  																																		| (1070)  ~ (all_0_95_95 = e3)
% 46.85/16.08  																																		|
% 46.85/16.08  																																		| Simplifying 1070 yields:
% 46.85/16.08  																																		| (765)  ~ (all_0_95_95 = e3)
% 46.85/16.08  																																		|
% 46.85/16.08  																																		+-Applying beta-rule and splitting (270), into two cases.
% 46.85/16.08  																																		|-Branch one:
% 46.85/16.08  																																		| (744) all_0_95_95 = e3
% 46.85/16.08  																																		|
% 46.85/16.08  																																			| Equations (744) can reduce 765 to:
% 46.85/16.08  																																			| (311) $false
% 46.85/16.08  																																			|
% 46.85/16.08  																																			|-The branch is then unsatisfiable
% 46.85/16.08  																																		|-Branch two:
% 46.85/16.08  																																		| (765)  ~ (all_0_95_95 = e3)
% 46.85/16.08  																																		| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 46.85/16.08  																																		|
% 46.85/16.08  																																			+-Applying beta-rule and splitting (99), into two cases.
% 46.85/16.08  																																			|-Branch one:
% 46.85/16.08  																																			| (767) all_0_95_95 = e2
% 46.85/16.08  																																			|
% 46.85/16.08  																																				| Equations (767) can reduce 355 to:
% 46.85/16.08  																																				| (311) $false
% 46.85/16.08  																																				|
% 46.85/16.08  																																				|-The branch is then unsatisfiable
% 46.85/16.08  																																			|-Branch two:
% 46.85/16.08  																																			| (355)  ~ (all_0_95_95 = e2)
% 46.85/16.08  																																			| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.85/16.08  																																			|
% 46.85/16.08  																																				+-Applying beta-rule and splitting (770), into two cases.
% 46.85/16.08  																																				|-Branch one:
% 46.85/16.08  																																				| (785) all_0_95_95 = e1
% 46.85/16.08  																																				|
% 46.85/16.08  																																					| Equations (785) can reduce 279 to:
% 46.85/16.08  																																					| (1671)  ~ (all_0_96_96 = e1)
% 46.85/16.08  																																					|
% 46.85/16.08  																																					| Simplifying 1671 yields:
% 46.85/16.08  																																					| (1479)  ~ (all_0_96_96 = e1)
% 46.85/16.08  																																					|
% 46.85/16.08  																																					+-Applying beta-rule and splitting (84), into two cases.
% 46.85/16.08  																																					|-Branch one:
% 46.85/16.08  																																					| (1704) all_0_96_96 = e2
% 46.85/16.08  																																					|
% 46.85/16.08  																																						| Equations (1704) can reduce 1638 to:
% 46.85/16.08  																																						| (311) $false
% 46.85/16.08  																																						|
% 46.85/16.08  																																						|-The branch is then unsatisfiable
% 46.85/16.08  																																					|-Branch two:
% 46.85/16.08  																																					| (1638)  ~ (all_0_96_96 = e2)
% 46.85/16.08  																																					| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.85/16.08  																																					|
% 46.85/16.08  																																						+-Applying beta-rule and splitting (1707), into two cases.
% 46.85/16.08  																																						|-Branch one:
% 46.85/16.08  																																						| (960) all_0_96_96 = e1
% 46.85/16.08  																																						|
% 46.85/16.08  																																							| Equations (960) can reduce 1479 to:
% 46.85/16.08  																																							| (311) $false
% 46.85/16.08  																																							|
% 46.85/16.08  																																							|-The branch is then unsatisfiable
% 46.85/16.08  																																						|-Branch two:
% 46.85/16.08  																																						| (1479)  ~ (all_0_96_96 = e1)
% 46.85/16.08  																																						| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.85/16.08  																																						|
% 46.85/16.08  																																							+-Applying beta-rule and splitting (2016), into two cases.
% 46.85/16.08  																																							|-Branch one:
% 46.85/16.08  																																							| (778) all_0_96_96 = e3
% 46.85/16.08  																																							|
% 46.85/16.08  																																								| Equations (778) can reduce 964 to:
% 46.85/16.08  																																								| (311) $false
% 46.85/16.08  																																								|
% 46.85/16.08  																																								|-The branch is then unsatisfiable
% 46.85/16.08  																																							|-Branch two:
% 46.85/16.08  																																							| (964)  ~ (all_0_96_96 = e3)
% 46.85/16.08  																																							| (1837) all_0_96_96 = e0
% 46.85/16.08  																																							|
% 46.85/16.08  																																								| Equations (1837) can reduce 64 to:
% 46.85/16.08  																																								| (1487)  ~ (all_0_91_91 = e0)
% 46.85/16.08  																																								|
% 46.85/16.08  																																								+-Applying beta-rule and splitting (284), into two cases.
% 46.85/16.08  																																								|-Branch one:
% 46.85/16.08  																																								| (1723) all_0_91_91 = e2
% 46.85/16.08  																																								|
% 46.85/16.08  																																									| Equations (1723) can reduce 296 to:
% 46.85/16.08  																																									| (311) $false
% 46.85/16.08  																																									|
% 46.85/16.08  																																									|-The branch is then unsatisfiable
% 46.85/16.08  																																								|-Branch two:
% 46.85/16.08  																																								| (296)  ~ (all_0_91_91 = e2)
% 46.85/16.08  																																								| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.85/16.08  																																								|
% 46.85/16.08  																																									+-Applying beta-rule and splitting (1726), into two cases.
% 46.85/16.08  																																									|-Branch one:
% 46.85/16.08  																																									| (801) all_0_91_91 = e1
% 46.85/16.08  																																									|
% 46.85/16.08  																																										| Equations (801) can reduce 296 to:
% 46.85/16.08  																																										| (487)  ~ (e2 = e1)
% 46.85/16.08  																																										|
% 46.85/16.08  																																										| Simplifying 487 yields:
% 46.85/16.08  																																										| (243)  ~ (e2 = e1)
% 46.85/16.08  																																										|
% 46.85/16.08  																																										| From (801) and (1703) follows:
% 46.85/16.08  																																										| (13258) op(e2, e1) = e1
% 46.85/16.08  																																										|
% 46.85/16.08  																																										| Instantiating formula (262) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 46.85/16.08  																																										| (385) e2 = e1
% 46.85/16.08  																																										|
% 46.85/16.08  																																										| Equations (385) can reduce 243 to:
% 46.85/16.08  																																										| (311) $false
% 46.85/16.08  																																										|
% 46.85/16.08  																																										|-The branch is then unsatisfiable
% 46.85/16.08  																																									|-Branch two:
% 46.85/16.08  																																									| (959)  ~ (all_0_91_91 = e1)
% 46.85/16.08  																																									| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.85/16.08  																																									|
% 46.85/16.08  																																										+-Applying beta-rule and splitting (1880), into two cases.
% 46.85/16.08  																																										|-Branch one:
% 46.85/16.08  																																										| (588) all_0_91_91 = e3
% 46.85/16.08  																																										|
% 46.85/16.08  																																											| Equations (588) can reduce 571 to:
% 46.85/16.08  																																											| (311) $false
% 46.85/16.08  																																											|
% 46.85/16.08  																																											|-The branch is then unsatisfiable
% 46.85/16.08  																																										|-Branch two:
% 46.85/16.08  																																										| (571)  ~ (all_0_91_91 = e3)
% 46.85/16.08  																																										| (1456) all_0_91_91 = e0
% 46.85/16.08  																																										|
% 46.85/16.08  																																											| Equations (1456) can reduce 1487 to:
% 46.85/16.08  																																											| (311) $false
% 46.85/16.08  																																											|
% 46.85/16.08  																																											|-The branch is then unsatisfiable
% 46.85/16.08  																																				|-Branch two:
% 46.85/16.08  																																				| (680)  ~ (all_0_95_95 = e1)
% 46.85/16.08  																																				| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.85/16.08  																																				|
% 46.85/16.08  																																					+-Applying beta-rule and splitting (853), into two cases.
% 46.85/16.08  																																					|-Branch one:
% 46.85/16.08  																																					| (744) all_0_95_95 = e3
% 46.85/16.08  																																					|
% 46.85/16.08  																																						| Equations (744) can reduce 765 to:
% 46.85/16.08  																																						| (311) $false
% 46.85/16.08  																																						|
% 46.85/16.08  																																						|-The branch is then unsatisfiable
% 46.85/16.08  																																					|-Branch two:
% 46.85/16.08  																																					| (765)  ~ (all_0_95_95 = e3)
% 46.85/16.08  																																					| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.85/16.08  																																					|
% 46.85/16.08  																																						+-Applying beta-rule and splitting (102), into two cases.
% 46.85/16.08  																																						|-Branch one:
% 46.85/16.08  																																						| (858) all_0_95_95 = e0
% 46.85/16.08  																																						|
% 46.85/16.08  																																							| Equations (858) can reduce 893 to:
% 46.85/16.08  																																							| (311) $false
% 46.85/16.08  																																							|
% 46.85/16.08  																																							|-The branch is then unsatisfiable
% 46.85/16.08  																																						|-Branch two:
% 46.85/16.08  																																						| (893)  ~ (all_0_95_95 = e0)
% 46.85/16.08  																																						| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.85/16.08  																																						|
% 46.85/16.08  																																							+-Applying beta-rule and splitting (857), into two cases.
% 46.85/16.08  																																							|-Branch one:
% 46.85/16.08  																																							| (858) all_0_95_95 = e0
% 46.85/16.08  																																							|
% 46.85/16.08  																																								| Equations (858) can reduce 893 to:
% 46.85/16.08  																																								| (311) $false
% 46.85/16.08  																																								|
% 46.85/16.08  																																								|-The branch is then unsatisfiable
% 46.85/16.08  																																							|-Branch two:
% 46.85/16.08  																																							| (893)  ~ (all_0_95_95 = e0)
% 46.85/16.08  																																							| (894) all_0_95_95 = e4
% 46.85/16.08  																																							|
% 46.86/16.08  																																								| Equations (894) can reduce 315 to:
% 46.86/16.08  																																								| (311) $false
% 46.86/16.08  																																								|
% 46.86/16.08  																																								|-The branch is then unsatisfiable
% 46.86/16.08  																																	|-Branch two:
% 46.86/16.08  																																	| (745)  ~ (all_0_90_90 = e3)
% 46.86/16.08  																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.86/16.08  																																	|
% 46.86/16.08  																																		+-Applying beta-rule and splitting (849), into two cases.
% 46.86/16.08  																																		|-Branch one:
% 46.86/16.08  																																		| (588) all_0_91_91 = e3
% 46.86/16.08  																																		|
% 46.86/16.08  																																			| Equations (588) can reduce 571 to:
% 46.86/16.08  																																			| (311) $false
% 46.86/16.08  																																			|
% 46.86/16.08  																																			|-The branch is then unsatisfiable
% 46.86/16.08  																																		|-Branch two:
% 46.86/16.08  																																		| (571)  ~ (all_0_91_91 = e3)
% 46.86/16.08  																																		| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.86/16.08  																																		|
% 46.86/16.08  																																			+-Applying beta-rule and splitting (220), into two cases.
% 46.86/16.08  																																			|-Branch one:
% 46.86/16.08  																																			| (771) all_0_78_78 = e3
% 46.86/16.08  																																			|
% 46.86/16.08  																																				| Combining equations (400,771) yields a new equation:
% 46.86/16.08  																																				| (548) e3 = e2
% 46.86/16.08  																																				|
% 46.86/16.08  																																				| Equations (548) can reduce 169 to:
% 46.86/16.08  																																				| (311) $false
% 46.86/16.08  																																				|
% 46.86/16.08  																																				|-The branch is then unsatisfiable
% 46.86/16.08  																																			|-Branch two:
% 46.86/16.08  																																			| (418)  ~ (all_0_78_78 = e3)
% 46.86/16.08  																																			| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.86/16.08  																																			|
% 46.86/16.08  																																				| Equations (400) can reduce 418 to:
% 46.86/16.08  																																				| (356)  ~ (e3 = e2)
% 46.86/16.08  																																				|
% 46.86/16.08  																																				| Simplifying 356 yields:
% 46.86/16.08  																																				| (169)  ~ (e3 = e2)
% 46.86/16.08  																																				|
% 46.86/16.08  																																				+-Applying beta-rule and splitting (27), into two cases.
% 46.86/16.08  																																				|-Branch one:
% 46.86/16.08  																																				| (746) all_0_90_90 = e2
% 46.86/16.08  																																				|
% 46.86/16.08  																																					| Equations (746) can reduce 294 to:
% 46.86/16.08  																																					| (311) $false
% 46.86/16.08  																																					|
% 46.86/16.08  																																					|-The branch is then unsatisfiable
% 46.86/16.08  																																				|-Branch two:
% 46.86/16.08  																																				| (294)  ~ (all_0_90_90 = e2)
% 46.86/16.08  																																				| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.86/16.08  																																				|
% 46.86/16.08  																																					+-Applying beta-rule and splitting (749), into two cases.
% 46.86/16.08  																																					|-Branch one:
% 46.86/16.08  																																					| (750) all_0_90_90 = e1
% 46.86/16.08  																																					|
% 46.86/16.08  																																						| Equations (750) can reduce 229 to:
% 46.86/16.08  																																						| (679)  ~ (all_0_95_95 = e1)
% 46.86/16.08  																																						|
% 46.86/16.08  																																						| Simplifying 679 yields:
% 46.86/16.08  																																						| (680)  ~ (all_0_95_95 = e1)
% 46.86/16.08  																																						|
% 46.86/16.08  																																						| Equations (750) can reduce 467 to:
% 46.86/16.08  																																						| (681)  ~ (e4 = e1)
% 46.86/16.08  																																						|
% 46.86/16.08  																																						| Simplifying 681 yields:
% 46.86/16.08  																																						| (256)  ~ (e4 = e1)
% 46.86/16.08  																																						|
% 46.86/16.08  																																						| Equations (750) can reduce 762 to:
% 46.86/16.08  																																						| (264)  ~ (e1 = e0)
% 46.86/16.08  																																						|
% 46.86/16.08  																																						+-Applying beta-rule and splitting (176), into two cases.
% 46.86/16.08  																																						|-Branch one:
% 46.86/16.08  																																						| (785) all_0_95_95 = e1
% 46.86/16.08  																																						|
% 46.86/16.08  																																							| Equations (785) can reduce 680 to:
% 46.86/16.08  																																							| (311) $false
% 46.86/16.08  																																							|
% 46.86/16.08  																																							|-The branch is then unsatisfiable
% 46.86/16.08  																																						|-Branch two:
% 46.86/16.08  																																						| (680)  ~ (all_0_95_95 = e1)
% 46.86/16.08  																																						| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.86/16.08  																																						|
% 46.86/16.08  																																							+-Applying beta-rule and splitting (775), into two cases.
% 46.86/16.08  																																							|-Branch one:
% 46.86/16.08  																																							| (789) all_0_82_82 = e3
% 46.86/16.08  																																							|
% 46.86/16.08  																																								| Combining equations (469,789) yields a new equation:
% 46.86/16.08  																																								| (790) e4 = e3
% 46.86/16.08  																																								|
% 46.86/16.08  																																								| Simplifying 790 yields:
% 46.86/16.08  																																								| (434) e4 = e3
% 46.86/16.08  																																								|
% 46.86/16.08  																																								| Equations (434) can reduce 177 to:
% 46.86/16.08  																																								| (311) $false
% 46.86/16.08  																																								|
% 46.86/16.08  																																								|-The branch is then unsatisfiable
% 46.86/16.08  																																							|-Branch two:
% 46.86/16.08  																																							| (793)  ~ (all_0_82_82 = e3)
% 46.86/16.08  																																							| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.86/16.08  																																							|
% 46.86/16.08  																																								+-Applying beta-rule and splitting (99), into two cases.
% 46.86/16.08  																																								|-Branch one:
% 46.86/16.08  																																								| (767) all_0_95_95 = e2
% 46.86/16.08  																																								|
% 46.86/16.08  																																									| Equations (767) can reduce 355 to:
% 46.86/16.08  																																									| (311) $false
% 46.86/16.08  																																									|
% 46.86/16.08  																																									|-The branch is then unsatisfiable
% 46.86/16.08  																																								|-Branch two:
% 46.86/16.08  																																								| (355)  ~ (all_0_95_95 = e2)
% 46.86/16.08  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.86/16.08  																																								|
% 46.86/16.08  																																									+-Applying beta-rule and splitting (881), into two cases.
% 46.86/16.08  																																									|-Branch one:
% 46.86/16.08  																																									| (882) all_0_92_92 = e3
% 46.86/16.08  																																									|
% 46.86/16.08  																																										| Equations (882) can reduce 87 to:
% 46.86/16.08  																																										| (422)  ~ (all_0_84_84 = e3)
% 46.86/16.08  																																										|
% 46.86/16.08  																																										+-Applying beta-rule and splitting (788), into two cases.
% 46.86/16.08  																																										|-Branch one:
% 46.86/16.08  																																										| (960) all_0_96_96 = e1
% 46.86/16.08  																																										|
% 46.86/16.08  																																											| Equations (960) can reduce 43 to:
% 46.86/16.08  																																											| (1803)  ~ (all_0_98_98 = e1)
% 46.86/16.08  																																											|
% 46.86/16.08  																																											| Simplifying 1803 yields:
% 46.86/16.08  																																											| (1804)  ~ (all_0_98_98 = e1)
% 46.86/16.08  																																											|
% 46.86/16.08  																																											| Equations (960) can reduce 964 to:
% 46.86/16.08  																																											| (683)  ~ (e3 = e1)
% 46.86/16.08  																																											|
% 46.86/16.08  																																											| Simplifying 683 yields:
% 46.86/16.08  																																											| (20)  ~ (e3 = e1)
% 46.86/16.08  																																											|
% 46.86/16.08  																																											+-Applying beta-rule and splitting (102), into two cases.
% 46.86/16.08  																																											|-Branch one:
% 46.86/16.08  																																											| (858) all_0_95_95 = e0
% 46.86/16.08  																																											|
% 46.86/16.08  																																												| Equations (858) can reduce 893 to:
% 46.86/16.08  																																												| (311) $false
% 46.86/16.08  																																												|
% 46.86/16.08  																																												|-The branch is then unsatisfiable
% 46.86/16.08  																																											|-Branch two:
% 46.86/16.08  																																											| (893)  ~ (all_0_95_95 = e0)
% 46.86/16.08  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.86/16.08  																																											|
% 46.86/16.08  																																												+-Applying beta-rule and splitting (794), into two cases.
% 46.86/16.08  																																												|-Branch one:
% 46.86/16.08  																																												| (754) all_0_90_90 = e3
% 46.86/16.08  																																												|
% 46.86/16.08  																																													| Combining equations (750,754) yields a new equation:
% 46.86/16.08  																																													| (772) e3 = e1
% 46.86/16.08  																																													|
% 46.86/16.08  																																													| Equations (772) can reduce 20 to:
% 46.86/16.08  																																													| (311) $false
% 46.86/16.08  																																													|
% 46.86/16.08  																																													|-The branch is then unsatisfiable
% 46.86/16.08  																																												|-Branch two:
% 46.86/16.08  																																												| (745)  ~ (all_0_90_90 = e3)
% 46.86/16.08  																																												| (744) all_0_95_95 = e3
% 46.86/16.08  																																												|
% 46.86/16.08  																																													| Equations (744) can reduce 107 to:
% 46.86/16.08  																																													| (1518)  ~ (all_0_98_98 = e3)
% 46.86/16.08  																																													|
% 46.86/16.08  																																													| Simplifying 1518 yields:
% 46.86/16.08  																																													| (1519)  ~ (all_0_98_98 = e3)
% 46.86/16.08  																																													|
% 46.86/16.08  																																													| Equations (744) can reduce 315 to:
% 46.86/16.08  																																													| (783)  ~ (e4 = e3)
% 46.86/16.08  																																													|
% 46.86/16.08  																																													| Simplifying 783 yields:
% 46.86/16.08  																																													| (177)  ~ (e4 = e3)
% 46.86/16.08  																																													|
% 46.86/16.08  																																													| Equations (744) can reduce 355 to:
% 46.86/16.08  																																													| (169)  ~ (e3 = e2)
% 46.86/16.08  																																													|
% 46.86/16.08  																																													+-Applying beta-rule and splitting (48), into two cases.
% 46.86/16.08  																																													|-Branch one:
% 46.86/16.08  																																													| (525) all_0_98_98 = e2
% 46.86/16.08  																																													|
% 46.86/16.08  																																														| Equations (525) can reduce 1349 to:
% 46.86/16.08  																																														| (311) $false
% 46.86/16.08  																																														|
% 46.86/16.08  																																														|-The branch is then unsatisfiable
% 46.86/16.08  																																													|-Branch two:
% 46.86/16.08  																																													| (1349)  ~ (all_0_98_98 = e2)
% 46.86/16.08  																																													| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.86/16.08  																																													|
% 46.86/16.08  																																														+-Applying beta-rule and splitting (250), into two cases.
% 46.86/16.08  																																														|-Branch one:
% 46.86/16.08  																																														| (635) all_0_81_81 = e3
% 46.86/16.08  																																														|
% 46.86/16.08  																																															| Combining equations (638,635) yields a new equation:
% 46.86/16.08  																																															| (790) e4 = e3
% 46.86/16.08  																																															|
% 46.86/16.08  																																															| Simplifying 790 yields:
% 46.86/16.08  																																															| (434) e4 = e3
% 46.86/16.08  																																															|
% 46.86/16.08  																																															| Equations (434) can reduce 177 to:
% 46.86/16.08  																																															| (311) $false
% 46.86/16.08  																																															|
% 46.86/16.08  																																															|-The branch is then unsatisfiable
% 46.86/16.08  																																														|-Branch two:
% 46.86/16.08  																																														| (420)  ~ (all_0_81_81 = e3)
% 46.86/16.08  																																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.86/16.08  																																														|
% 46.86/16.08  																																															+-Applying beta-rule and splitting (5118), into two cases.
% 46.86/16.08  																																															|-Branch one:
% 46.86/16.08  																																															| (1543) all_0_98_98 = e1
% 46.86/16.08  																																															|
% 46.86/16.08  																																																| Equations (1543) can reduce 1804 to:
% 46.86/16.08  																																																| (311) $false
% 46.86/16.08  																																																|
% 46.86/16.08  																																																|-The branch is then unsatisfiable
% 46.86/16.08  																																															|-Branch two:
% 46.86/16.08  																																															| (1804)  ~ (all_0_98_98 = e1)
% 46.86/16.08  																																															| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.86/16.08  																																															|
% 46.86/16.08  																																																+-Applying beta-rule and splitting (1400), into two cases.
% 46.86/16.08  																																																|-Branch one:
% 46.86/16.08  																																																| (1456) all_0_91_91 = e0
% 46.86/16.08  																																																|
% 46.86/16.08  																																																	| From (1456) and (51) follows:
% 46.86/16.09  																																																	| (3461) op(e1, e0) = all_0_57_57
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																	+-Applying beta-rule and splitting (2), into two cases.
% 46.86/16.09  																																																	|-Branch one:
% 46.86/16.09  																																																	| (916) all_0_84_84 = e0
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																		| Equations (916) can reduce 154 to:
% 46.86/16.09  																																																		| (799)  ~ (all_0_85_85 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| Simplifying 799 yields:
% 46.86/16.09  																																																		| (800)  ~ (all_0_85_85 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| Equations (916) can reduce 612 to:
% 46.86/16.09  																																																		| (510)  ~ (e2 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| Simplifying 510 yields:
% 46.86/16.09  																																																		| (76)  ~ (e2 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| Equations (916) can reduce 259 to:
% 46.86/16.09  																																																		| (859)  ~ (e1 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| Simplifying 859 yields:
% 46.86/16.09  																																																		| (264)  ~ (e1 = e0)
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		| From (916) and (5563) follows:
% 46.86/16.09  																																																		| (573) op(e1, e0) = e3
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																		+-Applying beta-rule and splitting (289), into two cases.
% 46.86/16.09  																																																		|-Branch one:
% 46.86/16.09  																																																		| (954) all_0_85_85 = e0
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																			| Equations (954) can reduce 800 to:
% 46.86/16.09  																																																			| (311) $false
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																			|-The branch is then unsatisfiable
% 46.86/16.09  																																																		|-Branch two:
% 46.86/16.09  																																																		| (800)  ~ (all_0_85_85 = e0)
% 46.86/16.09  																																																		| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																			+-Applying beta-rule and splitting (1921), into two cases.
% 46.86/16.09  																																																			|-Branch one:
% 46.86/16.09  																																																			| (1837) all_0_96_96 = e0
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																				| Combining equations (1837,960) yields a new equation:
% 46.86/16.09  																																																				| (865) e1 = e0
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																				| Equations (865) can reduce 264 to:
% 46.86/16.09  																																																				| (311) $false
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																				|-The branch is then unsatisfiable
% 46.86/16.09  																																																			|-Branch two:
% 46.86/16.09  																																																			| (2095)  ~ (all_0_96_96 = e0)
% 46.86/16.09  																																																			| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																				| Equations (960) can reduce 2095 to:
% 46.86/16.09  																																																				| (264)  ~ (e1 = e0)
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																				+-Applying beta-rule and splitting (1077), into two cases.
% 46.86/16.09  																																																				|-Branch one:
% 46.86/16.09  																																																				| (507) all_0_88_88 = e0
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																					| Combining equations (507,504) yields a new equation:
% 46.86/16.09  																																																					| (865) e1 = e0
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																					| Equations (865) can reduce 264 to:
% 46.86/16.09  																																																					| (311) $false
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																					|-The branch is then unsatisfiable
% 46.86/16.09  																																																				|-Branch two:
% 46.86/16.09  																																																				| (1110)  ~ (all_0_88_88 = e0)
% 46.86/16.09  																																																				| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																					+-Applying beta-rule and splitting (5122), into two cases.
% 46.86/16.09  																																																					|-Branch one:
% 46.86/16.09  																																																					| (969) all_0_98_98 = e3
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																						| Equations (969) can reduce 1519 to:
% 46.86/16.09  																																																						| (311) $false
% 46.86/16.09  																																																						|
% 46.86/16.09  																																																						|-The branch is then unsatisfiable
% 46.86/16.09  																																																					|-Branch two:
% 46.86/16.09  																																																					| (1519)  ~ (all_0_98_98 = e3)
% 46.86/16.09  																																																					| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																						+-Applying beta-rule and splitting (4488), into two cases.
% 46.86/16.09  																																																						|-Branch one:
% 46.86/16.09  																																																						| (804) all_0_85_85 = e3
% 46.86/16.09  																																																						|
% 46.86/16.09  																																																							| Equations (804) can reduce 515 to:
% 46.86/16.09  																																																							| (169)  ~ (e3 = e2)
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							| Instantiating formula (262) with e1, e0, all_0_57_57, e2 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e2, yields:
% 46.86/16.09  																																																							| (32427) all_0_57_57 = e2
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							| Instantiating formula (262) with e1, e0, e3, all_0_57_57 and discharging atoms op(e1, e0) = all_0_57_57, op(e1, e0) = e3, yields:
% 46.86/16.09  																																																							| (3522) all_0_57_57 = e3
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							| Combining equations (3522,32427) yields a new equation:
% 46.86/16.09  																																																							| (547) e3 = e2
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							| Simplifying 547 yields:
% 46.86/16.09  																																																							| (548) e3 = e2
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							| Equations (548) can reduce 169 to:
% 46.86/16.09  																																																							| (311) $false
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																							|-The branch is then unsatisfiable
% 46.86/16.09  																																																						|-Branch two:
% 46.86/16.09  																																																						| (952)  ~ (all_0_85_85 = e3)
% 46.86/16.09  																																																						| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.86/16.09  																																																						|
% 46.86/16.09  																																																							+-Applying beta-rule and splitting (1111), into two cases.
% 46.86/16.09  																																																							|-Branch one:
% 46.86/16.09  																																																							| (604) all_0_93_93 = e0
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																								| Combining equations (604,522) yields a new equation:
% 46.86/16.09  																																																								| (379) e2 = e0
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																								| Equations (379) can reduce 76 to:
% 46.86/16.09  																																																								| (311) $false
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																								|-The branch is then unsatisfiable
% 46.86/16.09  																																																							|-Branch two:
% 46.86/16.09  																																																							| (509)  ~ (all_0_93_93 = e0)
% 46.86/16.09  																																																							| (1121) all_0_98_98 = e0
% 46.86/16.09  																																																							|
% 46.86/16.09  																																																								| Equations (1121) can reduce 1519 to:
% 46.86/16.09  																																																								| (906)  ~ (e3 = e0)
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																								| Simplifying 906 yields:
% 46.86/16.09  																																																								| (50)  ~ (e3 = e0)
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																								+-Applying beta-rule and splitting (4559), into two cases.
% 46.86/16.09  																																																								|-Branch one:
% 46.86/16.09  																																																								| (570) all_0_93_93 = e3
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																									| Combining equations (570,522) yields a new equation:
% 46.86/16.09  																																																									| (547) e3 = e2
% 46.86/16.09  																																																									|
% 46.86/16.09  																																																									| Simplifying 547 yields:
% 46.86/16.09  																																																									| (548) e3 = e2
% 46.86/16.09  																																																									|
% 46.86/16.09  																																																									| Equations (548) can reduce 169 to:
% 46.86/16.09  																																																									| (311) $false
% 46.86/16.09  																																																									|
% 46.86/16.09  																																																									|-The branch is then unsatisfiable
% 46.86/16.09  																																																								|-Branch two:
% 46.86/16.09  																																																								| (602)  ~ (all_0_93_93 = e3)
% 46.86/16.09  																																																								| (969) all_0_98_98 = e3
% 46.86/16.09  																																																								|
% 46.86/16.09  																																																									| Combining equations (1121,969) yields a new equation:
% 46.86/16.09  																																																									| (600) e3 = e0
% 46.86/16.09  																																																									|
% 46.86/16.09  																																																									| Equations (600) can reduce 50 to:
% 46.86/16.09  																																																									| (311) $false
% 46.86/16.09  																																																									|
% 46.86/16.09  																																																									|-The branch is then unsatisfiable
% 46.86/16.09  																																																	|-Branch two:
% 46.86/16.09  																																																	| (919)  ~ (all_0_84_84 = e0)
% 46.86/16.09  																																																	| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																		+-Applying beta-rule and splitting (92), into two cases.
% 46.86/16.09  																																																		|-Branch one:
% 46.86/16.09  																																																		| (552) all_0_84_84 = e2
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																			| Equations (552) can reduce 612 to:
% 46.86/16.09  																																																			| (311) $false
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																			|-The branch is then unsatisfiable
% 46.86/16.09  																																																		|-Branch two:
% 46.86/16.09  																																																		| (612)  ~ (all_0_84_84 = e2)
% 46.86/16.09  																																																		| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 46.86/16.09  																																																		|
% 46.86/16.09  																																																			+-Applying beta-rule and splitting (617), into two cases.
% 46.86/16.09  																																																			|-Branch one:
% 46.86/16.09  																																																			| (1265) all_0_84_84 = e3
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																				| Equations (1265) can reduce 422 to:
% 46.86/16.09  																																																				| (311) $false
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																				|-The branch is then unsatisfiable
% 46.86/16.09  																																																			|-Branch two:
% 46.86/16.09  																																																			| (422)  ~ (all_0_84_84 = e3)
% 46.86/16.09  																																																			| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 46.86/16.09  																																																			|
% 46.86/16.09  																																																				+-Applying beta-rule and splitting (1268), into two cases.
% 46.86/16.09  																																																				|-Branch one:
% 46.86/16.09  																																																				| (916) all_0_84_84 = e0
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																					| Equations (916) can reduce 919 to:
% 46.86/16.09  																																																					| (311) $false
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																					|-The branch is then unsatisfiable
% 46.86/16.09  																																																				|-Branch two:
% 46.86/16.09  																																																				| (919)  ~ (all_0_84_84 = e0)
% 46.86/16.09  																																																				| (438) all_0_84_84 = e4
% 46.86/16.09  																																																				|
% 46.86/16.09  																																																					| Equations (438) can reduce 417 to:
% 46.86/16.09  																																																					| (311) $false
% 46.86/16.09  																																																					|
% 46.86/16.09  																																																					|-The branch is then unsatisfiable
% 46.86/16.09  																																																|-Branch two:
% 46.86/16.09  																																																| (1487)  ~ (all_0_91_91 = e0)
% 46.86/16.09  																																																| (1837) all_0_96_96 = e0
% 46.86/16.09  																																																|
% 46.86/16.09  																																																	| Combining equations (960,1837) yields a new equation:
% 46.86/16.09  																																																	| (1107) e1 = e0
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																	| Simplifying 1107 yields:
% 46.86/16.09  																																																	| (865) e1 = e0
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																	| Equations (865) can reduce 264 to:
% 46.86/16.09  																																																	| (311) $false
% 46.86/16.09  																																																	|
% 46.86/16.09  																																																	|-The branch is then unsatisfiable
% 46.86/16.09  																																										|-Branch two:
% 46.86/16.09  																																										| (1479)  ~ (all_0_96_96 = e1)
% 46.86/16.09  																																										| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.86/16.09  																																										|
% 46.86/16.09  																																											+-Applying beta-rule and splitting (2126), into two cases.
% 46.86/16.09  																																											|-Branch one:
% 46.86/16.09  																																											| (542) all_0_97_97 = e1
% 46.86/16.09  																																											|
% 46.86/16.09  																																												| Combining equations (542,610) yields a new equation:
% 46.86/16.09  																																												| (814) e4 = e1
% 46.86/16.09  																																												|
% 46.86/16.09  																																												| Equations (814) can reduce 256 to:
% 46.86/16.09  																																												| (311) $false
% 46.86/16.09  																																												|
% 46.86/16.09  																																												|-The branch is then unsatisfiable
% 46.86/16.09  																																											|-Branch two:
% 46.86/16.09  																																											| (486)  ~ (all_0_97_97 = e1)
% 46.86/16.09  																																											| (1543) all_0_98_98 = e1
% 46.86/16.09  																																											|
% 46.86/16.09  																																												| Equations (1543) can reduce 1804 to:
% 46.86/16.09  																																												| (311) $false
% 46.86/16.09  																																												|
% 46.86/16.09  																																												|-The branch is then unsatisfiable
% 46.86/16.09  																																									|-Branch two:
% 46.86/16.09  																																									| (426)  ~ (all_0_92_92 = e3)
% 46.86/16.09  																																									| (570) all_0_93_93 = e3
% 46.86/16.09  																																									|
% 46.86/16.09  																																										| Combining equations (570,522) yields a new equation:
% 46.86/16.09  																																										| (547) e3 = e2
% 46.86/16.09  																																										|
% 46.86/16.09  																																										| Simplifying 547 yields:
% 46.86/16.09  																																										| (548) e3 = e2
% 46.86/16.09  																																										|
% 46.86/16.09  																																										| Equations (548) can reduce 169 to:
% 46.86/16.09  																																										| (311) $false
% 46.86/16.09  																																										|
% 46.86/16.09  																																										|-The branch is then unsatisfiable
% 46.86/16.09  																																					|-Branch two:
% 46.86/16.09  																																					| (678)  ~ (all_0_90_90 = e1)
% 46.86/16.09  																																					| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 46.86/16.09  																																					|
% 46.86/16.09  																																						+-Applying beta-rule and splitting (753), into two cases.
% 46.86/16.09  																																						|-Branch one:
% 46.86/16.09  																																						| (754) all_0_90_90 = e3
% 46.86/16.09  																																						|
% 46.86/16.09  																																							| Equations (754) can reduce 745 to:
% 46.86/16.09  																																							| (311) $false
% 46.86/16.09  																																							|
% 46.86/16.09  																																							|-The branch is then unsatisfiable
% 46.86/16.09  																																						|-Branch two:
% 46.86/16.09  																																						| (745)  ~ (all_0_90_90 = e3)
% 46.86/16.09  																																						| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 46.86/16.09  																																						|
% 46.86/16.09  																																							+-Applying beta-rule and splitting (757), into two cases.
% 46.86/16.09  																																							|-Branch one:
% 46.86/16.09  																																							| (758) all_0_90_90 = e0
% 46.86/16.09  																																							|
% 46.86/16.09  																																								| Equations (758) can reduce 762 to:
% 46.86/16.09  																																								| (311) $false
% 46.86/16.09  																																								|
% 46.86/16.09  																																								|-The branch is then unsatisfiable
% 46.86/16.09  																																							|-Branch two:
% 46.86/16.09  																																							| (762)  ~ (all_0_90_90 = e0)
% 46.86/16.09  																																							| (583) all_0_90_90 = e4
% 46.86/16.09  																																							|
% 46.86/16.09  																																								| Equations (583) can reduce 467 to:
% 46.86/16.09  																																								| (311) $false
% 46.86/16.09  																																								|
% 46.86/16.09  																																								|-The branch is then unsatisfiable
% 46.86/16.09  																															|-Branch two:
% 46.86/16.09  																															| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 46.86/16.09  																															|
% 46.86/16.09  																																| Applying alpha-rule on (590) yields:
% 46.86/16.09  																																| (591) all_0_64_64 = e2
% 46.86/16.09  																																| (592)  ~ (all_0_65_65 = e1)
% 46.86/16.09  																																|
% 46.86/16.09  																																| Combining equations (591,9535) yields a new equation:
% 46.86/16.09  																																| (1723) all_0_91_91 = e2
% 46.86/16.09  																																|
% 46.86/16.09  																																| Equations (1723) can reduce 296 to:
% 46.86/16.09  																																| (311) $false
% 46.86/16.09  																																|
% 46.86/16.09  																																|-The branch is then unsatisfiable
% 46.86/16.09  																														|-Branch two:
% 46.86/16.09  																														| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 46.86/16.09  																														|
% 46.86/16.09  																															| Applying alpha-rule on (596) yields:
% 46.86/16.09  																															| (597) all_0_67_67 = e0
% 46.86/16.09  																															| (598)  ~ (all_0_68_68 = e1)
% 46.86/16.09  																															|
% 46.86/16.09  																															| Combining equations (597,3520) yields a new equation:
% 46.86/16.09  																															| (912) e4 = e0
% 46.86/16.09  																															|
% 46.86/16.09  																															| Equations (912) can reduce 23 to:
% 46.86/16.09  																															| (311) $false
% 46.86/16.09  																															|
% 46.86/16.09  																															|-The branch is then unsatisfiable
% 46.86/16.09  																													|-Branch two:
% 46.86/16.09  																													| (319)  ~ (all_0_97_97 = e4)
% 46.86/16.09  																													| (2650) all_0_98_98 = e4
% 46.86/16.09  																													|
% 46.86/16.09  																														| Equations (2650) can reduce 321 to:
% 46.86/16.09  																														| (311) $false
% 46.86/16.09  																														|
% 46.86/16.09  																														|-The branch is then unsatisfiable
% 46.86/16.10  																										|-Branch two:
% 46.86/16.10  																										| (465)  ~ (all_0_82_82 = e4)
% 46.86/16.10  																										| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.86/16.10  																										|
% 46.86/16.10  																											+-Applying beta-rule and splitting (472), into two cases.
% 46.86/16.10  																											|-Branch one:
% 46.86/16.10  																											| (438) all_0_84_84 = e4
% 46.86/16.10  																											|
% 46.86/16.10  																												| Equations (438) can reduce 7 to:
% 46.86/16.10  																												| (465)  ~ (all_0_82_82 = e4)
% 46.86/16.10  																												|
% 46.86/16.10  																												| Equations (438) can reduce 154 to:
% 46.86/16.10  																												| (647)  ~ (all_0_85_85 = e4)
% 46.86/16.10  																												|
% 46.86/16.10  																												| Simplifying 647 yields:
% 46.86/16.10  																												| (648)  ~ (all_0_85_85 = e4)
% 46.86/16.10  																												|
% 46.86/16.10  																												| Equations (438) can reduce 612 to:
% 46.86/16.10  																												| (79)  ~ (e4 = e2)
% 46.86/16.10  																												|
% 46.86/16.10  																												| Equations (438) can reduce 259 to:
% 46.86/16.10  																												| (256)  ~ (e4 = e1)
% 46.86/16.10  																												|
% 46.86/16.10  																												+-Applying beta-rule and splitting (4), into two cases.
% 46.86/16.10  																												|-Branch one:
% 46.86/16.10  																												| (463) all_0_78_78 = e4
% 46.86/16.10  																												|
% 46.86/16.10  																													| Combining equations (400,463) yields a new equation:
% 46.86/16.10  																													| (310) e4 = e2
% 46.86/16.10  																													|
% 46.86/16.10  																													| Equations (310) can reduce 79 to:
% 46.86/16.10  																													| (311) $false
% 46.86/16.10  																													|
% 46.86/16.10  																													|-The branch is then unsatisfiable
% 46.86/16.10  																												|-Branch two:
% 46.86/16.10  																												| (640)  ~ (all_0_78_78 = e4)
% 46.86/16.10  																												| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.86/16.10  																												|
% 46.86/16.10  																													+-Applying beta-rule and splitting (3625), into two cases.
% 46.86/16.10  																													|-Branch one:
% 46.86/16.10  																													| (469) all_0_82_82 = e4
% 46.86/16.10  																													|
% 46.86/16.10  																														| Equations (469) can reduce 465 to:
% 46.86/16.10  																														| (311) $false
% 46.86/16.10  																														|
% 46.86/16.10  																														|-The branch is then unsatisfiable
% 46.86/16.10  																													|-Branch two:
% 46.86/16.10  																													| (465)  ~ (all_0_82_82 = e4)
% 46.86/16.10  																													| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 46.86/16.10  																													|
% 46.86/16.10  																														+-Applying beta-rule and splitting (3629), into two cases.
% 46.86/16.10  																														|-Branch one:
% 46.86/16.10  																														| (583) all_0_90_90 = e4
% 46.86/16.10  																														|
% 46.86/16.10  																															| Equations (583) can reduce 467 to:
% 46.86/16.10  																															| (311) $false
% 46.86/16.10  																															|
% 46.86/16.10  																															|-The branch is then unsatisfiable
% 46.86/16.10  																														|-Branch two:
% 46.86/16.10  																														| (467)  ~ (all_0_90_90 = e4)
% 46.86/16.10  																														| (894) all_0_95_95 = e4
% 46.86/16.10  																														|
% 46.86/16.10  																															| Equations (894) can reduce 200 to:
% 46.86/16.10  																															| (465)  ~ (all_0_82_82 = e4)
% 46.86/16.10  																															|
% 46.86/16.10  																															| Equations (894) can reduce 355 to:
% 46.86/16.10  																															| (79)  ~ (e4 = e2)
% 46.86/16.10  																															|
% 46.86/16.10  																															| Equations (894) can reduce 893 to:
% 46.86/16.10  																															| (23)  ~ (e4 = e0)
% 46.86/16.10  																															|
% 46.86/16.10  																															+-Applying beta-rule and splitting (10), into two cases.
% 46.86/16.10  																															|-Branch one:
% 46.86/16.10  																															| (530) all_0_82_82 = e2
% 46.86/16.10  																															|
% 46.86/16.10  																																| Equations (530) can reduce 347 to:
% 46.86/16.10  																																| (311) $false
% 46.86/16.10  																																|
% 46.86/16.10  																																|-The branch is then unsatisfiable
% 46.86/16.10  																															|-Branch two:
% 46.86/16.10  																															| (347)  ~ (all_0_82_82 = e2)
% 46.86/16.10  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.86/16.10  																															|
% 46.86/16.10  																																+-Applying beta-rule and splitting (176), into two cases.
% 46.86/16.10  																																|-Branch one:
% 46.86/16.10  																																| (785) all_0_95_95 = e1
% 46.86/16.10  																																|
% 46.86/16.10  																																	| Combining equations (785,894) yields a new equation:
% 46.86/16.10  																																	| (814) e4 = e1
% 46.86/16.10  																																	|
% 46.86/16.10  																																	| Equations (814) can reduce 256 to:
% 46.86/16.10  																																	| (311) $false
% 46.86/16.10  																																	|
% 46.86/16.10  																																	|-The branch is then unsatisfiable
% 46.86/16.10  																																|-Branch two:
% 46.86/16.10  																																| (680)  ~ (all_0_95_95 = e1)
% 46.86/16.10  																																| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.86/16.10  																																|
% 46.86/16.10  																																	+-Applying beta-rule and splitting (2205), into two cases.
% 46.86/16.10  																																	|-Branch one:
% 46.86/16.10  																																	| (789) all_0_82_82 = e3
% 46.86/16.10  																																	|
% 46.86/16.10  																																		| Equations (789) can reduce 209 to:
% 46.86/16.10  																																		| (2358)  ~ (all_0_85_85 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Simplifying 2358 yields:
% 46.86/16.10  																																		| (952)  ~ (all_0_85_85 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Equations (789) can reduce 255 to:
% 46.86/16.10  																																		| (1815)  ~ (all_0_90_90 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Simplifying 1815 yields:
% 46.86/16.10  																																		| (745)  ~ (all_0_90_90 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Equations (789) can reduce 465 to:
% 46.86/16.10  																																		| (783)  ~ (e4 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Simplifying 783 yields:
% 46.86/16.10  																																		| (177)  ~ (e4 = e3)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		| Equations (789) can reduce 347 to:
% 46.86/16.10  																																		| (169)  ~ (e3 = e2)
% 46.86/16.10  																																		|
% 46.86/16.10  																																		+-Applying beta-rule and splitting (182), into two cases.
% 46.86/16.10  																																		|-Branch one:
% 46.86/16.10  																																		| (512) all_0_85_85 = e2
% 46.86/16.10  																																		|
% 46.86/16.10  																																			| Equations (512) can reduce 515 to:
% 46.86/16.10  																																			| (311) $false
% 46.86/16.10  																																			|
% 46.86/16.10  																																			|-The branch is then unsatisfiable
% 46.86/16.10  																																		|-Branch two:
% 46.86/16.10  																																		| (515)  ~ (all_0_85_85 = e2)
% 46.86/16.10  																																		| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.86/16.10  																																		|
% 46.86/16.10  																																			+-Applying beta-rule and splitting (788), into two cases.
% 46.86/16.10  																																			|-Branch one:
% 46.86/16.10  																																			| (960) all_0_96_96 = e1
% 46.86/16.10  																																			|
% 46.86/16.10  																																				| Equations (960) can reduce 64 to:
% 46.86/16.10  																																				| (959)  ~ (all_0_91_91 = e1)
% 46.86/16.10  																																				|
% 46.86/16.10  																																				| Equations (960) can reduce 22 to:
% 46.86/16.10  																																				| (485)  ~ (all_0_97_97 = e1)
% 46.86/16.10  																																				|
% 46.86/16.10  																																				| Simplifying 485 yields:
% 46.86/16.10  																																				| (486)  ~ (all_0_97_97 = e1)
% 46.86/16.10  																																				|
% 46.86/16.10  																																				| Equations (960) can reduce 1638 to:
% 46.86/16.10  																																				| (487)  ~ (e2 = e1)
% 46.86/16.10  																																				|
% 46.86/16.10  																																				| Simplifying 487 yields:
% 46.86/16.10  																																				| (243)  ~ (e2 = e1)
% 46.86/16.10  																																				|
% 46.86/16.10  																																				+-Applying beta-rule and splitting (132), into two cases.
% 46.86/16.10  																																				|-Branch one:
% 46.86/16.10  																																				| (750) all_0_90_90 = e1
% 46.86/16.10  																																				|
% 46.86/16.10  																																					| Equations (750) can reduce 103 to:
% 46.86/16.10  																																					| (1669)  ~ (all_0_91_91 = e1)
% 46.86/16.10  																																					|
% 46.86/16.10  																																					| Simplifying 1669 yields:
% 46.86/16.10  																																					| (959)  ~ (all_0_91_91 = e1)
% 46.86/16.10  																																					|
% 46.86/16.10  																																					| Equations (750) can reduce 745 to:
% 46.86/16.10  																																					| (683)  ~ (e3 = e1)
% 46.86/16.10  																																					|
% 46.86/16.10  																																					| Simplifying 683 yields:
% 46.86/16.10  																																					| (20)  ~ (e3 = e1)
% 46.86/16.10  																																					|
% 46.86/16.10  																																					| Equations (750) can reduce 762 to:
% 46.86/16.10  																																					| (264)  ~ (e1 = e0)
% 46.86/16.10  																																					|
% 46.86/16.10  																																					+-Applying beta-rule and splitting (250), into two cases.
% 46.86/16.10  																																					|-Branch one:
% 46.86/16.10  																																					| (635) all_0_81_81 = e3
% 46.86/16.10  																																					|
% 46.86/16.10  																																						| Combining equations (638,635) yields a new equation:
% 46.86/16.10  																																						| (790) e4 = e3
% 46.86/16.10  																																						|
% 46.86/16.10  																																						| Simplifying 790 yields:
% 46.86/16.10  																																						| (434) e4 = e3
% 46.86/16.10  																																						|
% 46.86/16.10  																																						| Equations (434) can reduce 177 to:
% 46.86/16.10  																																						| (311) $false
% 46.86/16.10  																																						|
% 46.86/16.10  																																						|-The branch is then unsatisfiable
% 46.86/16.10  																																					|-Branch two:
% 46.86/16.10  																																					| (420)  ~ (all_0_81_81 = e3)
% 46.86/16.10  																																					| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.86/16.10  																																					|
% 46.86/16.10  																																						+-Applying beta-rule and splitting (282), into two cases.
% 46.86/16.10  																																						|-Branch one:
% 46.86/16.10  																																						| (754) all_0_90_90 = e3
% 46.86/16.10  																																						|
% 46.86/16.10  																																							| Combining equations (754,750) yields a new equation:
% 46.86/16.10  																																							| (825) e3 = e1
% 46.86/16.10  																																							|
% 46.86/16.10  																																							| Simplifying 825 yields:
% 46.86/16.10  																																							| (772) e3 = e1
% 46.86/16.10  																																							|
% 46.86/16.10  																																							| Equations (772) can reduce 20 to:
% 46.86/16.10  																																							| (311) $false
% 46.86/16.10  																																							|
% 46.86/16.10  																																							|-The branch is then unsatisfiable
% 46.86/16.10  																																						|-Branch two:
% 46.86/16.10  																																						| (745)  ~ (all_0_90_90 = e3)
% 46.86/16.10  																																						| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.86/16.10  																																						|
% 46.86/16.10  																																							+-Applying beta-rule and splitting (284), into two cases.
% 46.86/16.10  																																							|-Branch one:
% 46.86/16.10  																																							| (1723) all_0_91_91 = e2
% 46.86/16.10  																																							|
% 46.86/16.10  																																								| Equations (1723) can reduce 296 to:
% 46.86/16.10  																																								| (311) $false
% 46.86/16.10  																																								|
% 46.86/16.10  																																								|-The branch is then unsatisfiable
% 46.86/16.10  																																							|-Branch two:
% 46.86/16.10  																																							| (296)  ~ (all_0_91_91 = e2)
% 46.86/16.10  																																							| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.86/16.10  																																							|
% 46.86/16.10  																																								+-Applying beta-rule and splitting (4488), into two cases.
% 46.86/16.10  																																								|-Branch one:
% 46.86/16.10  																																								| (804) all_0_85_85 = e3
% 46.86/16.10  																																								|
% 46.86/16.10  																																									| Equations (804) can reduce 952 to:
% 46.86/16.10  																																									| (311) $false
% 46.86/16.10  																																									|
% 46.86/16.10  																																									|-The branch is then unsatisfiable
% 46.86/16.10  																																								|-Branch two:
% 46.86/16.10  																																								| (952)  ~ (all_0_85_85 = e3)
% 46.86/16.10  																																								| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.86/16.10  																																								|
% 46.86/16.10  																																									+-Applying beta-rule and splitting (4559), into two cases.
% 46.86/16.10  																																									|-Branch one:
% 46.86/16.10  																																									| (570) all_0_93_93 = e3
% 46.86/16.10  																																									|
% 46.86/16.10  																																										| Combining equations (522,570) yields a new equation:
% 46.86/16.10  																																										| (548) e3 = e2
% 46.86/16.10  																																										|
% 46.86/16.10  																																										| Equations (548) can reduce 169 to:
% 46.86/16.10  																																										| (311) $false
% 46.86/16.10  																																										|
% 46.86/16.10  																																										|-The branch is then unsatisfiable
% 46.86/16.10  																																									|-Branch two:
% 46.86/16.10  																																									| (602)  ~ (all_0_93_93 = e3)
% 46.86/16.10  																																									| (969) all_0_98_98 = e3
% 46.86/16.10  																																									|
% 46.86/16.10  																																										| Equations (969) can reduce 75 to:
% 46.86/16.10  																																										| (952)  ~ (all_0_85_85 = e3)
% 46.86/16.10  																																										|
% 46.86/16.10  																																										| Equations (969) can reduce 1349 to:
% 46.86/16.10  																																										| (169)  ~ (e3 = e2)
% 46.86/16.10  																																										|
% 46.86/16.10  																																										+-Applying beta-rule and splitting (849), into two cases.
% 46.86/16.10  																																										|-Branch one:
% 46.86/16.10  																																										| (588) all_0_91_91 = e3
% 46.86/16.10  																																										|
% 46.86/16.10  																																											| Equations (588) can reduce 571 to:
% 46.86/16.10  																																											| (311) $false
% 46.86/16.10  																																											|
% 46.86/16.10  																																											|-The branch is then unsatisfiable
% 46.86/16.10  																																										|-Branch two:
% 46.86/16.10  																																										| (571)  ~ (all_0_91_91 = e3)
% 46.86/16.10  																																										| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.86/16.10  																																										|
% 46.86/16.10  																																											+-Applying beta-rule and splitting (881), into two cases.
% 46.86/16.10  																																											|-Branch one:
% 46.86/16.10  																																											| (882) all_0_92_92 = e3
% 46.86/16.10  																																											|
% 46.86/16.10  																																												| Equations (882) can reduce 265 to:
% 46.86/16.10  																																												| (571)  ~ (all_0_91_91 = e3)
% 46.86/16.10  																																												|
% 46.86/16.10  																																												+-Applying beta-rule and splitting (291), into two cases.
% 46.86/16.10  																																												|-Branch one:
% 46.86/16.10  																																												| (758) all_0_90_90 = e0
% 46.86/16.10  																																												|
% 46.86/16.10  																																													| Combining equations (750,758) yields a new equation:
% 46.86/16.10  																																													| (1107) e1 = e0
% 46.86/16.10  																																													|
% 46.86/16.10  																																													| Simplifying 1107 yields:
% 46.86/16.10  																																													| (865) e1 = e0
% 46.86/16.10  																																													|
% 46.86/16.10  																																													| Equations (865) can reduce 264 to:
% 46.86/16.10  																																													| (311) $false
% 46.86/16.10  																																													|
% 46.86/16.10  																																													|-The branch is then unsatisfiable
% 46.86/16.10  																																												|-Branch two:
% 46.86/16.10  																																												| (762)  ~ (all_0_90_90 = e0)
% 46.86/16.10  																																												| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.86/16.10  																																												|
% 46.86/16.10  																																													+-Applying beta-rule and splitting (1726), into two cases.
% 46.86/16.10  																																													|-Branch one:
% 46.86/16.10  																																													| (801) all_0_91_91 = e1
% 46.86/16.10  																																													|
% 46.86/16.10  																																														| Equations (801) can reduce 959 to:
% 46.86/16.10  																																														| (311) $false
% 46.86/16.10  																																														|
% 46.86/16.10  																																														|-The branch is then unsatisfiable
% 46.86/16.10  																																													|-Branch two:
% 46.86/16.10  																																													| (959)  ~ (all_0_91_91 = e1)
% 46.86/16.10  																																													| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.86/16.10  																																													|
% 46.86/16.10  																																														+-Applying beta-rule and splitting (1455), into two cases.
% 46.86/16.10  																																														|-Branch one:
% 46.86/16.10  																																														| (1456) all_0_91_91 = e0
% 46.86/16.10  																																														|
% 46.86/16.10  																																															| Combining equations (1456,30812) yields a new equation:
% 46.86/16.10  																																															| (8960) all_0_76_76 = e0
% 46.86/16.10  																																															|
% 46.86/16.10  																																															+-Applying beta-rule and splitting (289), into two cases.
% 46.86/16.10  																																															|-Branch one:
% 46.86/16.10  																																															| (954) all_0_85_85 = e0
% 46.86/16.10  																																															|
% 46.86/16.10  																																																| From (954) and (197) follows:
% 46.86/16.10  																																																| (10073) op(e3, e0) = all_0_72_72
% 46.86/16.10  																																																|
% 46.86/16.10  																																																| From (954) and (8) follows:
% 46.86/16.10  																																																| (1093) op(e3, e0) = e0
% 46.86/16.10  																																																|
% 46.86/16.10  																																																+-Applying beta-rule and splitting (89), into two cases.
% 46.86/16.10  																																																|-Branch one:
% 46.86/16.10  																																																| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.86/16.10  																																																|
% 46.86/16.10  																																																	+-Applying beta-rule and splitting (1373), into two cases.
% 46.86/16.10  																																																	|-Branch one:
% 46.86/16.10  																																																	| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.86/16.10  																																																	|
% 46.86/16.10  																																																		+-Applying beta-rule and splitting (1374), into two cases.
% 46.86/16.10  																																																		|-Branch one:
% 46.86/16.10  																																																		| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.86/16.10  																																																		|
% 46.86/16.10  																																																			| Applying alpha-rule on (1375) yields:
% 46.86/16.10  																																																			| (1376) all_0_69_69 = e4
% 46.86/16.10  																																																			| (1377)  ~ (all_0_70_70 = e0)
% 46.86/16.10  																																																			|
% 46.86/16.10  																																																			| Combining equations (18072,1376) yields a new equation:
% 46.86/16.10  																																																			| (310) e4 = e2
% 46.86/16.10  																																																			|
% 46.86/16.10  																																																			| Equations (310) can reduce 79 to:
% 46.86/16.10  																																																			| (311) $false
% 46.86/16.10  																																																			|
% 46.86/16.10  																																																			|-The branch is then unsatisfiable
% 46.86/16.10  																																																		|-Branch two:
% 46.86/16.10  																																																		| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.86/16.10  																																																		|
% 46.86/16.10  																																																			| Applying alpha-rule on (1379) yields:
% 46.86/16.10  																																																			| (1380) all_0_71_71 = e3
% 46.86/16.10  																																																			| (1381)  ~ (all_0_72_72 = e0)
% 46.86/16.10  																																																			|
% 46.86/16.10  																																																			| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 46.86/16.10  																																																			| (10076) all_0_72_72 = e0
% 46.86/16.10  																																																			|
% 46.86/16.11  																																																			| Equations (10076) can reduce 1381 to:
% 46.86/16.11  																																																			| (311) $false
% 46.86/16.11  																																																			|
% 46.86/16.11  																																																			|-The branch is then unsatisfiable
% 46.86/16.11  																																																	|-Branch two:
% 46.86/16.11  																																																	| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.86/16.11  																																																	|
% 46.86/16.11  																																																		| Applying alpha-rule on (1385) yields:
% 46.86/16.11  																																																		| (1386) all_0_73_73 = e2
% 46.86/16.11  																																																		| (1387)  ~ (all_0_74_74 = e0)
% 46.86/16.11  																																																		|
% 46.86/16.11  																																																		| Combining equations (8321,1386) yields a new equation:
% 46.86/16.11  																																																		| (10159) all_0_97_97 = e2
% 46.86/16.11  																																																		|
% 46.86/16.11  																																																		| Simplifying 10159 yields:
% 46.86/16.11  																																																		| (538) all_0_97_97 = e2
% 46.86/16.11  																																																		|
% 46.86/16.11  																																																		| Equations (538) can reduce 527 to:
% 46.86/16.11  																																																		| (311) $false
% 46.86/16.11  																																																		|
% 46.86/16.11  																																																		|-The branch is then unsatisfiable
% 46.86/16.11  																																																|-Branch two:
% 46.86/16.11  																																																| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.86/16.11  																																																|
% 46.86/16.11  																																																	| Applying alpha-rule on (1391) yields:
% 46.86/16.11  																																																	| (1392) all_0_75_75 = e1
% 46.88/16.11  																																																	| (1393)  ~ (all_0_76_76 = e0)
% 46.88/16.11  																																																	|
% 46.88/16.11  																																																	| Equations (8960) can reduce 1393 to:
% 46.88/16.11  																																																	| (311) $false
% 46.88/16.11  																																																	|
% 46.88/16.11  																																																	|-The branch is then unsatisfiable
% 46.88/16.11  																																															|-Branch two:
% 46.88/16.11  																																															| (800)  ~ (all_0_85_85 = e0)
% 46.88/16.11  																																															| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.88/16.11  																																															|
% 46.88/16.11  																																																+-Applying beta-rule and splitting (725), into two cases.
% 46.88/16.11  																																																|-Branch one:
% 46.88/16.11  																																																| (804) all_0_85_85 = e3
% 46.88/16.11  																																																|
% 46.88/16.11  																																																	| Equations (804) can reduce 952 to:
% 46.88/16.11  																																																	| (311) $false
% 46.88/16.11  																																																	|
% 46.88/16.11  																																																	|-The branch is then unsatisfiable
% 46.88/16.11  																																																|-Branch two:
% 46.88/16.11  																																																| (952)  ~ (all_0_85_85 = e3)
% 46.88/16.11  																																																| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.88/16.11  																																																|
% 46.88/16.11  																																																	+-Applying beta-rule and splitting (953), into two cases.
% 46.88/16.11  																																																	|-Branch one:
% 46.88/16.11  																																																	| (954) all_0_85_85 = e0
% 46.88/16.11  																																																	|
% 46.88/16.11  																																																		| Equations (954) can reduce 800 to:
% 46.88/16.11  																																																		| (311) $false
% 46.88/16.11  																																																		|
% 46.88/16.11  																																																		|-The branch is then unsatisfiable
% 46.88/16.11  																																																	|-Branch two:
% 46.88/16.11  																																																	| (800)  ~ (all_0_85_85 = e0)
% 46.88/16.11  																																																	| (493) all_0_85_85 = e4
% 46.88/16.11  																																																	|
% 46.88/16.11  																																																		| Equations (493) can reduce 648 to:
% 46.88/16.11  																																																		| (311) $false
% 46.88/16.11  																																																		|
% 46.88/16.11  																																																		|-The branch is then unsatisfiable
% 46.88/16.11  																																														|-Branch two:
% 46.88/16.11  																																														| (1487)  ~ (all_0_91_91 = e0)
% 46.88/16.11  																																														| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.88/16.11  																																														|
% 46.88/16.11  																																															+-Applying beta-rule and splitting (1880), into two cases.
% 46.88/16.11  																																															|-Branch one:
% 46.88/16.11  																																															| (588) all_0_91_91 = e3
% 46.88/16.11  																																															|
% 46.88/16.11  																																																| Equations (588) can reduce 571 to:
% 46.88/16.11  																																																| (311) $false
% 46.88/16.11  																																																|
% 46.88/16.11  																																																|-The branch is then unsatisfiable
% 46.88/16.11  																																															|-Branch two:
% 46.88/16.11  																																															| (571)  ~ (all_0_91_91 = e3)
% 46.88/16.11  																																															| (1456) all_0_91_91 = e0
% 46.88/16.11  																																															|
% 46.88/16.11  																																																| Equations (1456) can reduce 1487 to:
% 46.88/16.11  																																																| (311) $false
% 46.88/16.11  																																																|
% 46.88/16.11  																																																|-The branch is then unsatisfiable
% 46.88/16.11  																																											|-Branch two:
% 46.88/16.11  																																											| (426)  ~ (all_0_92_92 = e3)
% 46.88/16.11  																																											| (570) all_0_93_93 = e3
% 46.88/16.11  																																											|
% 46.88/16.11  																																												| Combining equations (522,570) yields a new equation:
% 46.88/16.11  																																												| (548) e3 = e2
% 46.88/16.11  																																												|
% 46.88/16.11  																																												| Equations (548) can reduce 169 to:
% 46.88/16.11  																																												| (311) $false
% 46.88/16.11  																																												|
% 46.88/16.11  																																												|-The branch is then unsatisfiable
% 46.88/16.11  																																				|-Branch two:
% 46.88/16.11  																																				| (678)  ~ (all_0_90_90 = e1)
% 46.88/16.11  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.88/16.11  																																				|
% 46.88/16.11  																																					+-Applying beta-rule and splitting (725), into two cases.
% 46.88/16.11  																																					|-Branch one:
% 46.88/16.11  																																					| (804) all_0_85_85 = e3
% 46.88/16.11  																																					|
% 46.88/16.11  																																						| Equations (804) can reduce 952 to:
% 46.88/16.11  																																						| (311) $false
% 46.88/16.11  																																						|
% 46.88/16.11  																																						|-The branch is then unsatisfiable
% 46.88/16.11  																																					|-Branch two:
% 46.88/16.11  																																					| (952)  ~ (all_0_85_85 = e3)
% 46.88/16.11  																																					| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.88/16.11  																																					|
% 46.88/16.11  																																						+-Applying beta-rule and splitting (953), into two cases.
% 46.88/16.11  																																						|-Branch one:
% 46.88/16.11  																																						| (954) all_0_85_85 = e0
% 46.88/16.11  																																						|
% 46.88/16.11  																																							| Equations (954) can reduce 75 to:
% 46.88/16.11  																																							| (2058)  ~ (all_0_98_98 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							| Simplifying 2058 yields:
% 46.88/16.11  																																							| (2059)  ~ (all_0_98_98 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							| Equations (954) can reduce 648 to:
% 46.88/16.11  																																							| (904)  ~ (e4 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							| Simplifying 904 yields:
% 46.88/16.11  																																							| (23)  ~ (e4 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							| Equations (954) can reduce 128 to:
% 46.88/16.11  																																							| (859)  ~ (e1 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							| Simplifying 859 yields:
% 46.88/16.11  																																							| (264)  ~ (e1 = e0)
% 46.88/16.11  																																							|
% 46.88/16.11  																																							+-Applying beta-rule and splitting (102), into two cases.
% 46.88/16.11  																																							|-Branch one:
% 46.88/16.11  																																							| (858) all_0_95_95 = e0
% 46.88/16.11  																																							|
% 46.88/16.11  																																								| Combining equations (858,894) yields a new equation:
% 46.88/16.11  																																								| (912) e4 = e0
% 46.88/16.11  																																								|
% 46.88/16.11  																																								| Equations (912) can reduce 23 to:
% 46.88/16.11  																																								| (311) $false
% 46.88/16.11  																																								|
% 46.88/16.11  																																								|-The branch is then unsatisfiable
% 46.88/16.11  																																							|-Branch two:
% 46.88/16.11  																																							| (893)  ~ (all_0_95_95 = e0)
% 46.88/16.11  																																							| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.88/16.11  																																							|
% 46.88/16.11  																																								+-Applying beta-rule and splitting (1921), into two cases.
% 46.88/16.11  																																								|-Branch one:
% 46.88/16.11  																																								| (1837) all_0_96_96 = e0
% 46.88/16.11  																																								|
% 46.88/16.11  																																									| Combining equations (960,1837) yields a new equation:
% 46.88/16.11  																																									| (1107) e1 = e0
% 46.88/16.11  																																									|
% 46.88/16.11  																																									| Simplifying 1107 yields:
% 46.88/16.11  																																									| (865) e1 = e0
% 46.88/16.11  																																									|
% 46.88/16.11  																																									| Equations (865) can reduce 264 to:
% 46.88/16.11  																																									| (311) $false
% 46.88/16.11  																																									|
% 46.88/16.11  																																									|-The branch is then unsatisfiable
% 46.88/16.11  																																								|-Branch two:
% 46.88/16.11  																																								| (2095)  ~ (all_0_96_96 = e0)
% 46.88/16.11  																																								| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.88/16.11  																																								|
% 46.88/16.11  																																									+-Applying beta-rule and splitting (2096), into two cases.
% 46.88/16.11  																																									|-Branch one:
% 46.88/16.11  																																									| (560) all_0_97_97 = e0
% 46.88/16.11  																																									|
% 46.88/16.11  																																										| Equations (560) can reduce 486 to:
% 46.88/16.11  																																										| (859)  ~ (e1 = e0)
% 46.88/16.11  																																										|
% 46.88/16.11  																																										| Simplifying 859 yields:
% 46.88/16.11  																																										| (264)  ~ (e1 = e0)
% 46.88/16.11  																																										|
% 46.88/16.11  																																										+-Applying beta-rule and splitting (1400), into two cases.
% 46.88/16.11  																																										|-Branch one:
% 46.88/16.11  																																										| (1456) all_0_91_91 = e0
% 46.88/16.11  																																										|
% 46.88/16.11  																																											| Equations (1456) can reduce 959 to:
% 46.88/16.11  																																											| (859)  ~ (e1 = e0)
% 46.88/16.11  																																											|
% 46.88/16.11  																																											| Simplifying 859 yields:
% 46.88/16.11  																																											| (264)  ~ (e1 = e0)
% 46.88/16.11  																																											|
% 46.88/16.11  																																											+-Applying beta-rule and splitting (1526), into two cases.
% 46.88/16.11  																																											|-Branch one:
% 46.88/16.11  																																											| (801) all_0_91_91 = e1
% 46.88/16.11  																																											|
% 46.88/16.11  																																												| Combining equations (1456,801) yields a new equation:
% 46.88/16.11  																																												| (865) e1 = e0
% 46.88/16.11  																																												|
% 46.88/16.11  																																												| Equations (865) can reduce 264 to:
% 46.88/16.11  																																												| (311) $false
% 46.88/16.11  																																												|
% 46.88/16.11  																																												|-The branch is then unsatisfiable
% 46.88/16.11  																																											|-Branch two:
% 46.88/16.11  																																											| (959)  ~ (all_0_91_91 = e1)
% 46.88/16.11  																																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.88/16.11  																																											|
% 46.88/16.11  																																												+-Applying beta-rule and splitting (1556), into two cases.
% 46.88/16.11  																																												|-Branch one:
% 46.88/16.11  																																												| (836) all_0_92_92 = e1
% 46.88/16.11  																																												|
% 46.88/16.11  																																													| Equations (836) can reduce 840 to:
% 46.88/16.11  																																													| (311) $false
% 46.88/16.11  																																													|
% 46.88/16.11  																																													|-The branch is then unsatisfiable
% 46.88/16.11  																																												|-Branch two:
% 46.88/16.11  																																												| (840)  ~ (all_0_92_92 = e1)
% 46.88/16.11  																																												| (566) all_0_93_93 = e1
% 46.88/16.11  																																												|
% 46.88/16.11  																																													| Combining equations (522,566) yields a new equation:
% 46.88/16.11  																																													| (408) e2 = e1
% 46.88/16.11  																																													|
% 46.88/16.11  																																													| Simplifying 408 yields:
% 46.88/16.11  																																													| (385) e2 = e1
% 46.88/16.11  																																													|
% 46.88/16.11  																																													| Equations (385) can reduce 243 to:
% 46.88/16.11  																																													| (311) $false
% 46.88/16.11  																																													|
% 46.88/16.11  																																													|-The branch is then unsatisfiable
% 46.88/16.11  																																										|-Branch two:
% 46.88/16.11  																																										| (1487)  ~ (all_0_91_91 = e0)
% 46.88/16.11  																																										| (1837) all_0_96_96 = e0
% 46.88/16.11  																																										|
% 46.88/16.11  																																											| Combining equations (960,1837) yields a new equation:
% 46.88/16.11  																																											| (1107) e1 = e0
% 46.88/16.11  																																											|
% 46.88/16.11  																																											| Simplifying 1107 yields:
% 46.88/16.11  																																											| (865) e1 = e0
% 46.88/16.11  																																											|
% 46.88/16.11  																																											| Equations (865) can reduce 264 to:
% 46.88/16.11  																																											| (311) $false
% 46.88/16.11  																																											|
% 46.88/16.11  																																											|-The branch is then unsatisfiable
% 46.88/16.11  																																									|-Branch two:
% 46.88/16.11  																																									| (609)  ~ (all_0_97_97 = e0)
% 46.88/16.11  																																									| (1121) all_0_98_98 = e0
% 46.88/16.11  																																									|
% 46.88/16.11  																																										| Equations (1121) can reduce 2059 to:
% 46.88/16.11  																																										| (311) $false
% 46.88/16.11  																																										|
% 46.88/16.11  																																										|-The branch is then unsatisfiable
% 46.88/16.11  																																						|-Branch two:
% 46.88/16.11  																																						| (800)  ~ (all_0_85_85 = e0)
% 46.88/16.11  																																						| (493) all_0_85_85 = e4
% 46.88/16.11  																																						|
% 46.88/16.11  																																							| Equations (493) can reduce 648 to:
% 46.88/16.11  																																							| (311) $false
% 46.88/16.11  																																							|
% 46.88/16.11  																																							|-The branch is then unsatisfiable
% 46.88/16.11  																																			|-Branch two:
% 46.88/16.11  																																			| (1479)  ~ (all_0_96_96 = e1)
% 46.88/16.11  																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.88/16.11  																																			|
% 46.88/16.11  																																				+-Applying beta-rule and splitting (2126), into two cases.
% 46.88/16.11  																																				|-Branch one:
% 46.88/16.11  																																				| (542) all_0_97_97 = e1
% 46.88/16.11  																																				|
% 46.88/16.11  																																					| Equations (542) can reduce 486 to:
% 46.88/16.11  																																					| (311) $false
% 46.88/16.11  																																					|
% 46.88/16.11  																																					|-The branch is then unsatisfiable
% 46.88/16.11  																																				|-Branch two:
% 46.88/16.11  																																				| (486)  ~ (all_0_97_97 = e1)
% 46.88/16.11  																																				| (1543) all_0_98_98 = e1
% 46.88/16.11  																																				|
% 46.88/16.11  																																					| Equations (1543) can reduce 1804 to:
% 46.88/16.11  																																					| (311) $false
% 46.88/16.11  																																					|
% 46.88/16.11  																																					|-The branch is then unsatisfiable
% 46.88/16.11  																																	|-Branch two:
% 46.88/16.11  																																	| (793)  ~ (all_0_82_82 = e3)
% 46.88/16.11  																																	| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.88/16.11  																																	|
% 46.88/16.11  																																		+-Applying beta-rule and splitting (249), into two cases.
% 46.88/16.11  																																		|-Branch one:
% 46.88/16.11  																																		| (910) all_0_82_82 = e0
% 46.88/16.11  																																		|
% 46.88/16.11  																																			| Equations (910) can reduce 914 to:
% 46.88/16.11  																																			| (311) $false
% 46.88/16.11  																																			|
% 46.88/16.11  																																			|-The branch is then unsatisfiable
% 46.88/16.11  																																		|-Branch two:
% 46.88/16.11  																																		| (914)  ~ (all_0_82_82 = e0)
% 46.88/16.11  																																		| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.88/16.11  																																		|
% 46.88/16.11  																																			+-Applying beta-rule and splitting (1309), into two cases.
% 46.88/16.11  																																			|-Branch one:
% 46.88/16.11  																																			| (798) all_0_83_83 = e0
% 46.88/16.11  																																			|
% 46.88/16.11  																																				| Combining equations (453,798) yields a new equation:
% 46.88/16.11  																																				| (923) e2 = e0
% 46.88/16.11  																																				|
% 46.88/16.11  																																				| Simplifying 923 yields:
% 46.88/16.11  																																				| (379) e2 = e0
% 46.88/16.11  																																				|
% 46.88/16.11  																																				| Equations (379) can reduce 76 to:
% 46.88/16.11  																																				| (311) $false
% 46.88/16.11  																																				|
% 46.88/16.11  																																				|-The branch is then unsatisfiable
% 46.88/16.11  																																			|-Branch two:
% 46.88/16.11  																																			| (1314)  ~ (all_0_83_83 = e0)
% 46.88/16.11  																																			| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.88/16.11  																																			|
% 46.88/16.11  																																				+-Applying beta-rule and splitting (1315), into two cases.
% 46.88/16.11  																																				|-Branch one:
% 46.88/16.11  																																				| (916) all_0_84_84 = e0
% 46.88/16.11  																																				|
% 46.88/16.11  																																					| Combining equations (438,916) yields a new equation:
% 46.88/16.11  																																					| (911) e4 = e0
% 46.88/16.11  																																					|
% 46.88/16.11  																																					| Simplifying 911 yields:
% 46.88/16.11  																																					| (912) e4 = e0
% 46.88/16.11  																																					|
% 46.88/16.11  																																					| Equations (912) can reduce 23 to:
% 46.88/16.11  																																					| (311) $false
% 46.88/16.11  																																					|
% 46.88/16.11  																																					|-The branch is then unsatisfiable
% 46.88/16.11  																																				|-Branch two:
% 46.88/16.11  																																				| (919)  ~ (all_0_84_84 = e0)
% 46.88/16.11  																																				| (954) all_0_85_85 = e0
% 46.88/16.11  																																				|
% 46.88/16.11  																																					| Equations (954) can reduce 209 to:
% 46.88/16.11  																																					| (914)  ~ (all_0_82_82 = e0)
% 46.88/16.11  																																					|
% 46.88/16.11  																																					+-Applying beta-rule and splitting (2706), into two cases.
% 46.88/16.11  																																					|-Branch one:
% 46.88/16.11  																																					| (910) all_0_82_82 = e0
% 46.88/16.11  																																					|
% 46.88/16.11  																																						| Equations (910) can reduce 914 to:
% 46.88/16.11  																																						| (311) $false
% 46.88/16.11  																																						|
% 46.88/16.11  																																						|-The branch is then unsatisfiable
% 46.88/16.11  																																					|-Branch two:
% 46.88/16.11  																																					| (914)  ~ (all_0_82_82 = e0)
% 46.88/16.11  																																					| (469) all_0_82_82 = e4
% 46.88/16.11  																																					|
% 46.88/16.11  																																						| Equations (469) can reduce 465 to:
% 46.88/16.11  																																						| (311) $false
% 46.88/16.11  																																						|
% 46.88/16.11  																																						|-The branch is then unsatisfiable
% 46.88/16.11  																											|-Branch two:
% 46.88/16.11  																											| (417)  ~ (all_0_84_84 = e4)
% 46.88/16.11  																											| (493) all_0_85_85 = e4
% 46.88/16.11  																											|
% 46.88/16.11  																												| Equations (493) can reduce 648 to:
% 46.88/16.11  																												| (311) $false
% 46.88/16.11  																												|
% 46.88/16.11  																												|-The branch is then unsatisfiable
% 46.88/16.11  																								|-Branch two:
% 46.88/16.11  																								| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 46.88/16.11  																								|
% 46.88/16.11  																									| Applying alpha-rule on (4957) yields:
% 46.88/16.11  																									| (4958) all_0_58_58 = e0
% 46.88/16.12  																									| (4959)  ~ (all_0_59_59 = e2)
% 46.88/16.12  																									|
% 46.88/16.12  																									| From (4958) and (212) follows:
% 46.88/16.12  																									| (4960) op(e2, all_0_96_96) = e0
% 46.88/16.12  																									|
% 46.88/16.12  																									+-Applying beta-rule and splitting (109), into two cases.
% 46.88/16.12  																									|-Branch one:
% 46.88/16.12  																									| (469) all_0_82_82 = e4
% 46.88/16.12  																									|
% 46.88/16.12  																										| Equations (469) can reduce 255 to:
% 46.88/16.12  																										| (466)  ~ (all_0_90_90 = e4)
% 46.88/16.12  																										|
% 46.88/16.12  																										| Simplifying 466 yields:
% 46.88/16.12  																										| (467)  ~ (all_0_90_90 = e4)
% 46.88/16.12  																										|
% 46.88/16.12  																										| Equations (469) can reduce 200 to:
% 46.88/16.12  																										| (314)  ~ (all_0_95_95 = e4)
% 46.88/16.12  																										|
% 46.88/16.12  																										| Simplifying 314 yields:
% 46.88/16.12  																										| (315)  ~ (all_0_95_95 = e4)
% 46.88/16.12  																										|
% 46.88/16.12  																										| Equations (469) can reduce 347 to:
% 46.88/16.12  																										| (79)  ~ (e4 = e2)
% 46.88/16.12  																										|
% 46.88/16.12  																										+-Applying beta-rule and splitting (140), into two cases.
% 46.88/16.12  																										|-Branch one:
% 46.88/16.12  																										| (313) all_0_94_94 = e4
% 46.88/16.12  																										|
% 46.88/16.12  																											| Combining equations (1757,313) yields a new equation:
% 46.88/16.12  																											| (310) e4 = e2
% 46.88/16.12  																											|
% 46.88/16.12  																											| Equations (310) can reduce 79 to:
% 46.88/16.12  																											| (311) $false
% 46.88/16.12  																											|
% 46.88/16.12  																											|-The branch is then unsatisfiable
% 46.88/16.12  																										|-Branch two:
% 46.88/16.12  																										| (34849)  ~ (all_0_94_94 = e4)
% 46.88/16.12  																										| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 46.88/16.12  																										|
% 46.88/16.12  																											+-Applying beta-rule and splitting (34850), into two cases.
% 46.88/16.12  																											|-Branch one:
% 46.88/16.12  																											| (894) all_0_95_95 = e4
% 46.88/16.12  																											|
% 46.88/16.12  																												| Equations (894) can reduce 315 to:
% 46.88/16.12  																												| (311) $false
% 46.88/16.12  																												|
% 46.88/16.12  																												|-The branch is then unsatisfiable
% 46.88/16.12  																											|-Branch two:
% 46.88/16.12  																											| (315)  ~ (all_0_95_95 = e4)
% 46.88/16.12  																											| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 46.88/16.12  																											|
% 46.88/16.12  																												+-Applying beta-rule and splitting (34882), into two cases.
% 46.88/16.12  																												|-Branch one:
% 46.88/16.12  																												| (610) all_0_97_97 = e4
% 46.88/16.12  																												|
% 46.88/16.12  																													| Equations (610) can reduce 105 to:
% 46.88/16.12  																													| (315)  ~ (all_0_95_95 = e4)
% 46.88/16.12  																													|
% 46.88/16.12  																													| Equations (610) can reduce 22 to:
% 46.88/16.12  																													| (115)  ~ (all_0_96_96 = e4)
% 46.88/16.12  																													|
% 46.88/16.12  																													| Equations (610) can reduce 148 to:
% 46.88/16.12  																													| (320)  ~ (all_0_98_98 = e4)
% 46.88/16.12  																													|
% 46.88/16.12  																													| Simplifying 320 yields:
% 46.88/16.12  																													| (321)  ~ (all_0_98_98 = e4)
% 46.88/16.12  																													|
% 46.88/16.12  																													+-Applying beta-rule and splitting (282), into two cases.
% 46.88/16.12  																													|-Branch one:
% 46.88/16.12  																													| (754) all_0_90_90 = e3
% 46.88/16.12  																													|
% 46.88/16.12  																														| Equations (754) can reduce 103 to:
% 46.88/16.12  																														| (1298)  ~ (all_0_91_91 = e3)
% 46.88/16.12  																														|
% 46.88/16.12  																														| Simplifying 1298 yields:
% 46.88/16.12  																														| (571)  ~ (all_0_91_91 = e3)
% 46.88/16.12  																														|
% 46.88/16.12  																														| Equations (754) can reduce 229 to:
% 46.88/16.12  																														| (1070)  ~ (all_0_95_95 = e3)
% 46.88/16.12  																														|
% 46.88/16.12  																														| Simplifying 1070 yields:
% 46.88/16.12  																														| (765)  ~ (all_0_95_95 = e3)
% 46.88/16.12  																														|
% 46.88/16.12  																														+-Applying beta-rule and splitting (270), into two cases.
% 46.88/16.12  																														|-Branch one:
% 46.88/16.12  																														| (744) all_0_95_95 = e3
% 46.88/16.12  																														|
% 46.88/16.12  																															| Equations (744) can reduce 765 to:
% 46.88/16.12  																															| (311) $false
% 46.88/16.12  																															|
% 46.88/16.12  																															|-The branch is then unsatisfiable
% 46.88/16.12  																														|-Branch two:
% 46.88/16.12  																														| (765)  ~ (all_0_95_95 = e3)
% 46.88/16.12  																														| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 46.88/16.12  																														|
% 46.88/16.12  																															+-Applying beta-rule and splitting (119), into two cases.
% 46.88/16.12  																															|-Branch one:
% 46.88/16.12  																															| (1343) all_0_92_92 = e2
% 46.88/16.12  																															|
% 46.88/16.12  																																| Equations (1343) can reduce 298 to:
% 46.88/16.12  																																| (311) $false
% 46.88/16.12  																																|
% 46.88/16.12  																																|-The branch is then unsatisfiable
% 46.88/16.12  																															|-Branch two:
% 46.88/16.12  																															| (298)  ~ (all_0_92_92 = e2)
% 46.88/16.12  																															| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.88/16.12  																															|
% 46.88/16.12  																																+-Applying beta-rule and splitting (99), into two cases.
% 46.88/16.12  																																|-Branch one:
% 46.88/16.12  																																| (767) all_0_95_95 = e2
% 46.88/16.12  																																|
% 46.88/16.12  																																	| Equations (767) can reduce 355 to:
% 46.88/16.12  																																	| (311) $false
% 46.88/16.12  																																	|
% 46.88/16.12  																																	|-The branch is then unsatisfiable
% 46.88/16.12  																																|-Branch two:
% 46.88/16.12  																																| (355)  ~ (all_0_95_95 = e2)
% 46.88/16.12  																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.88/16.12  																																|
% 46.88/16.12  																																	+-Applying beta-rule and splitting (770), into two cases.
% 46.88/16.12  																																	|-Branch one:
% 46.88/16.12  																																	| (785) all_0_95_95 = e1
% 46.88/16.12  																																	|
% 46.88/16.12  																																		| Equations (785) can reduce 279 to:
% 46.88/16.12  																																		| (1671)  ~ (all_0_96_96 = e1)
% 46.88/16.12  																																		|
% 46.88/16.12  																																		| Simplifying 1671 yields:
% 46.88/16.12  																																		| (1479)  ~ (all_0_96_96 = e1)
% 46.88/16.12  																																		|
% 46.88/16.12  																																		+-Applying beta-rule and splitting (84), into two cases.
% 46.88/16.12  																																		|-Branch one:
% 46.88/16.12  																																		| (1704) all_0_96_96 = e2
% 46.88/16.12  																																		|
% 46.88/16.12  																																			| Equations (1704) can reduce 1638 to:
% 46.88/16.12  																																			| (311) $false
% 46.88/16.12  																																			|
% 46.88/16.12  																																			|-The branch is then unsatisfiable
% 46.88/16.12  																																		|-Branch two:
% 46.88/16.12  																																		| (1638)  ~ (all_0_96_96 = e2)
% 46.88/16.12  																																		| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.88/16.12  																																		|
% 46.88/16.12  																																			+-Applying beta-rule and splitting (1707), into two cases.
% 46.88/16.12  																																			|-Branch one:
% 46.88/16.12  																																			| (960) all_0_96_96 = e1
% 46.88/16.12  																																			|
% 46.88/16.12  																																				| Equations (960) can reduce 1479 to:
% 46.88/16.12  																																				| (311) $false
% 46.88/16.12  																																				|
% 46.88/16.12  																																				|-The branch is then unsatisfiable
% 46.88/16.12  																																			|-Branch two:
% 46.88/16.12  																																			| (1479)  ~ (all_0_96_96 = e1)
% 46.88/16.12  																																			| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.88/16.12  																																			|
% 46.88/16.12  																																				+-Applying beta-rule and splitting (2016), into two cases.
% 46.88/16.12  																																				|-Branch one:
% 46.88/16.12  																																				| (778) all_0_96_96 = e3
% 46.88/16.12  																																				|
% 46.88/16.12  																																					| Equations (778) can reduce 964 to:
% 46.88/16.12  																																					| (311) $false
% 46.88/16.12  																																					|
% 46.88/16.12  																																					|-The branch is then unsatisfiable
% 46.88/16.12  																																				|-Branch two:
% 46.88/16.12  																																				| (964)  ~ (all_0_96_96 = e3)
% 46.88/16.12  																																				| (1837) all_0_96_96 = e0
% 46.88/16.12  																																				|
% 46.88/16.12  																																					| Equations (1837) can reduce 64 to:
% 46.88/16.12  																																					| (1487)  ~ (all_0_91_91 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Equations (1837) can reduce 43 to:
% 46.88/16.12  																																					| (2058)  ~ (all_0_98_98 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Simplifying 2058 yields:
% 46.88/16.12  																																					| (2059)  ~ (all_0_98_98 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Equations (1837) can reduce 115 to:
% 46.88/16.12  																																					| (904)  ~ (e4 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Simplifying 904 yields:
% 46.88/16.12  																																					| (23)  ~ (e4 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Equations (1837) can reduce 964 to:
% 46.88/16.12  																																					| (906)  ~ (e3 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Simplifying 906 yields:
% 46.88/16.12  																																					| (50)  ~ (e3 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Equations (1837) can reduce 1638 to:
% 46.88/16.12  																																					| (510)  ~ (e2 = e0)
% 46.88/16.12  																																					|
% 46.88/16.12  																																					| Simplifying 510 yields:
% 46.88/16.12  																																					| (76)  ~ (e2 = e0)
% 46.88/16.12  																																					|
% 46.89/16.12  																																					| Equations (1837) can reduce 1479 to:
% 46.89/16.12  																																					| (859)  ~ (e1 = e0)
% 46.89/16.12  																																					|
% 46.89/16.12  																																					| Simplifying 859 yields:
% 46.89/16.12  																																					| (264)  ~ (e1 = e0)
% 46.89/16.12  																																					|
% 46.89/16.12  																																					| From (1837) and (4960) follows:
% 46.89/16.12  																																					| (2170) op(e2, e0) = e0
% 46.89/16.12  																																					|
% 46.89/16.12  																																					+-Applying beta-rule and splitting (291), into two cases.
% 46.89/16.12  																																					|-Branch one:
% 46.89/16.12  																																					| (758) all_0_90_90 = e0
% 46.89/16.12  																																					|
% 46.89/16.12  																																						| Combining equations (754,758) yields a new equation:
% 46.89/16.12  																																						| (599) e3 = e0
% 46.89/16.12  																																						|
% 46.89/16.12  																																						| Simplifying 599 yields:
% 46.89/16.12  																																						| (600) e3 = e0
% 46.89/16.12  																																						|
% 46.89/16.12  																																						| Equations (600) can reduce 50 to:
% 46.89/16.12  																																						| (311) $false
% 46.89/16.12  																																						|
% 46.89/16.12  																																						|-The branch is then unsatisfiable
% 46.89/16.12  																																					|-Branch two:
% 46.89/16.12  																																					| (762)  ~ (all_0_90_90 = e0)
% 46.89/16.12  																																					| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.12  																																					|
% 46.89/16.12  																																						+-Applying beta-rule and splitting (284), into two cases.
% 46.89/16.12  																																						|-Branch one:
% 46.89/16.12  																																						| (1723) all_0_91_91 = e2
% 46.89/16.12  																																						|
% 46.89/16.12  																																							| Equations (1723) can reduce 296 to:
% 46.89/16.12  																																							| (311) $false
% 46.89/16.12  																																							|
% 46.89/16.12  																																							|-The branch is then unsatisfiable
% 46.89/16.12  																																						|-Branch two:
% 46.89/16.12  																																						| (296)  ~ (all_0_91_91 = e2)
% 46.89/16.12  																																						| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.89/16.12  																																						|
% 46.89/16.12  																																							+-Applying beta-rule and splitting (289), into two cases.
% 46.89/16.12  																																							|-Branch one:
% 46.89/16.12  																																							| (954) all_0_85_85 = e0
% 46.89/16.12  																																							|
% 46.89/16.12  																																								| Equations (954) can reduce 515 to:
% 46.89/16.12  																																								| (510)  ~ (e2 = e0)
% 46.89/16.12  																																								|
% 46.89/16.12  																																								| Simplifying 510 yields:
% 46.89/16.12  																																								| (76)  ~ (e2 = e0)
% 46.89/16.12  																																								|
% 46.89/16.12  																																								+-Applying beta-rule and splitting (1726), into two cases.
% 46.89/16.12  																																								|-Branch one:
% 46.89/16.12  																																								| (801) all_0_91_91 = e1
% 46.89/16.12  																																								|
% 46.89/16.12  																																									| Equations (801) can reduce 265 to:
% 46.89/16.12  																																									| (2131)  ~ (all_0_92_92 = e1)
% 46.89/16.12  																																									|
% 46.89/16.12  																																									| Simplifying 2131 yields:
% 46.89/16.12  																																									| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.12  																																									|
% 46.89/16.12  																																									| Equations (801) can reduce 1487 to:
% 46.89/16.12  																																									| (264)  ~ (e1 = e0)
% 46.89/16.12  																																									|
% 46.89/16.12  																																									+-Applying beta-rule and splitting (1455), into two cases.
% 46.89/16.12  																																									|-Branch one:
% 46.89/16.12  																																									| (1456) all_0_91_91 = e0
% 46.89/16.12  																																									|
% 46.89/16.12  																																										| Combining equations (801,1456) yields a new equation:
% 46.89/16.12  																																										| (1107) e1 = e0
% 46.89/16.12  																																										|
% 46.89/16.12  																																										| Simplifying 1107 yields:
% 46.89/16.12  																																										| (865) e1 = e0
% 46.89/16.12  																																										|
% 46.89/16.12  																																										| Equations (865) can reduce 264 to:
% 46.89/16.12  																																										| (311) $false
% 46.89/16.12  																																										|
% 46.89/16.12  																																										|-The branch is then unsatisfiable
% 46.89/16.12  																																									|-Branch two:
% 46.89/16.12  																																									| (1487)  ~ (all_0_91_91 = e0)
% 46.89/16.12  																																									| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.12  																																									|
% 46.89/16.12  																																										+-Applying beta-rule and splitting (1488), into two cases.
% 46.89/16.12  																																										|-Branch one:
% 46.89/16.12  																																										| (942) all_0_92_92 = e0
% 46.89/16.12  																																										|
% 46.89/16.12  																																											| Equations (942) can reduce 840 to:
% 46.89/16.12  																																											| (859)  ~ (e1 = e0)
% 46.89/16.12  																																											|
% 46.89/16.12  																																											| Simplifying 859 yields:
% 46.89/16.12  																																											| (264)  ~ (e1 = e0)
% 46.89/16.12  																																											|
% 46.89/16.12  																																											| Instantiating formula (262) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 46.89/16.12  																																											| (865) e1 = e0
% 46.89/16.12  																																											|
% 46.89/16.12  																																											| Equations (865) can reduce 264 to:
% 46.89/16.12  																																											| (311) $false
% 46.89/16.12  																																											|
% 46.89/16.12  																																											|-The branch is then unsatisfiable
% 46.89/16.12  																																										|-Branch two:
% 46.89/16.12  																																										| (946)  ~ (all_0_92_92 = e0)
% 46.89/16.12  																																										| (604) all_0_93_93 = e0
% 46.89/16.12  																																										|
% 46.89/16.12  																																											| Combining equations (604,522) yields a new equation:
% 46.89/16.12  																																											| (379) e2 = e0
% 46.89/16.12  																																											|
% 46.89/16.12  																																											| Equations (379) can reduce 76 to:
% 46.89/16.12  																																											| (311) $false
% 46.89/16.12  																																											|
% 46.89/16.12  																																											|-The branch is then unsatisfiable
% 46.89/16.12  																																								|-Branch two:
% 46.89/16.12  																																								| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.12  																																								| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.89/16.12  																																								|
% 46.89/16.12  																																									+-Applying beta-rule and splitting (1880), into two cases.
% 46.89/16.12  																																									|-Branch one:
% 46.89/16.12  																																									| (588) all_0_91_91 = e3
% 46.89/16.12  																																									|
% 46.89/16.12  																																										| Equations (588) can reduce 571 to:
% 46.89/16.12  																																										| (311) $false
% 46.89/16.12  																																										|
% 46.89/16.12  																																										|-The branch is then unsatisfiable
% 46.89/16.12  																																									|-Branch two:
% 46.89/16.12  																																									| (571)  ~ (all_0_91_91 = e3)
% 46.89/16.13  																																									| (1456) all_0_91_91 = e0
% 46.89/16.13  																																									|
% 46.89/16.13  																																										| Equations (1456) can reduce 1487 to:
% 46.89/16.13  																																										| (311) $false
% 46.89/16.13  																																										|
% 46.89/16.13  																																										|-The branch is then unsatisfiable
% 46.89/16.13  																																							|-Branch two:
% 46.89/16.13  																																							| (800)  ~ (all_0_85_85 = e0)
% 46.89/16.13  																																							| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.89/16.13  																																							|
% 46.89/16.13  																																								+-Applying beta-rule and splitting (249), into two cases.
% 46.89/16.13  																																								|-Branch one:
% 46.89/16.13  																																								| (910) all_0_82_82 = e0
% 46.89/16.13  																																								|
% 46.89/16.13  																																									| Combining equations (469,910) yields a new equation:
% 46.89/16.13  																																									| (911) e4 = e0
% 46.89/16.13  																																									|
% 46.89/16.13  																																									| Simplifying 911 yields:
% 46.89/16.13  																																									| (912) e4 = e0
% 46.89/16.13  																																									|
% 46.89/16.13  																																									| Equations (912) can reduce 23 to:
% 46.89/16.13  																																									| (311) $false
% 46.89/16.13  																																									|
% 46.89/16.13  																																									|-The branch is then unsatisfiable
% 46.89/16.13  																																								|-Branch two:
% 46.89/16.13  																																								| (914)  ~ (all_0_82_82 = e0)
% 46.89/16.13  																																								| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.89/16.13  																																								|
% 46.89/16.13  																																									+-Applying beta-rule and splitting (462), into two cases.
% 46.89/16.13  																																									|-Branch one:
% 46.89/16.13  																																									| (801) all_0_91_91 = e1
% 46.89/16.13  																																									|
% 46.89/16.13  																																										| Equations (801) can reduce 1487 to:
% 46.89/16.13  																																										| (264)  ~ (e1 = e0)
% 46.89/16.13  																																										|
% 46.89/16.13  																																										+-Applying beta-rule and splitting (1309), into two cases.
% 46.89/16.13  																																										|-Branch one:
% 46.89/16.13  																																										| (798) all_0_83_83 = e0
% 46.89/16.13  																																										|
% 46.89/16.13  																																											| Combining equations (453,798) yields a new equation:
% 46.89/16.13  																																											| (923) e2 = e0
% 46.89/16.13  																																											|
% 46.89/16.13  																																											| Simplifying 923 yields:
% 46.89/16.13  																																											| (379) e2 = e0
% 46.89/16.13  																																											|
% 46.89/16.13  																																											| Equations (379) can reduce 76 to:
% 46.89/16.13  																																											| (311) $false
% 46.89/16.13  																																											|
% 46.89/16.13  																																											|-The branch is then unsatisfiable
% 46.89/16.13  																																										|-Branch two:
% 46.89/16.13  																																										| (1314)  ~ (all_0_83_83 = e0)
% 46.89/16.13  																																										| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.89/16.13  																																										|
% 46.89/16.13  																																											| Equations (453) can reduce 1314 to:
% 46.89/16.13  																																											| (76)  ~ (e2 = e0)
% 46.89/16.13  																																											|
% 46.89/16.13  																																											+-Applying beta-rule and splitting (1455), into two cases.
% 46.89/16.13  																																											|-Branch one:
% 46.89/16.13  																																											| (1456) all_0_91_91 = e0
% 46.89/16.13  																																											|
% 46.89/16.13  																																												| Combining equations (801,1456) yields a new equation:
% 46.89/16.13  																																												| (1107) e1 = e0
% 46.89/16.13  																																												|
% 46.89/16.13  																																												| Simplifying 1107 yields:
% 46.89/16.13  																																												| (865) e1 = e0
% 46.89/16.13  																																												|
% 46.89/16.13  																																												| Equations (865) can reduce 264 to:
% 46.89/16.13  																																												| (311) $false
% 46.89/16.13  																																												|
% 46.89/16.13  																																												|-The branch is then unsatisfiable
% 46.89/16.13  																																											|-Branch two:
% 46.89/16.13  																																											| (1487)  ~ (all_0_91_91 = e0)
% 46.89/16.13  																																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.13  																																											|
% 46.89/16.13  																																												| Equations (801) can reduce 1487 to:
% 46.89/16.13  																																												| (264)  ~ (e1 = e0)
% 46.89/16.13  																																												|
% 46.89/16.13  																																												+-Applying beta-rule and splitting (1077), into two cases.
% 46.89/16.13  																																												|-Branch one:
% 46.89/16.13  																																												| (507) all_0_88_88 = e0
% 46.89/16.13  																																												|
% 46.89/16.13  																																													| Combining equations (504,507) yields a new equation:
% 46.89/16.13  																																													| (1107) e1 = e0
% 46.89/16.13  																																													|
% 46.89/16.13  																																													| Simplifying 1107 yields:
% 46.89/16.13  																																													| (865) e1 = e0
% 46.89/16.13  																																													|
% 46.89/16.13  																																													| Equations (865) can reduce 264 to:
% 46.89/16.13  																																													| (311) $false
% 46.89/16.13  																																													|
% 46.89/16.13  																																													|-The branch is then unsatisfiable
% 46.89/16.13  																																												|-Branch two:
% 46.89/16.13  																																												| (1110)  ~ (all_0_88_88 = e0)
% 46.89/16.13  																																												| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 46.89/16.13  																																												|
% 46.89/16.13  																																													+-Applying beta-rule and splitting (1488), into two cases.
% 46.89/16.13  																																													|-Branch one:
% 46.89/16.13  																																													| (942) all_0_92_92 = e0
% 46.89/16.13  																																													|
% 46.89/16.13  																																														| Equations (942) can reduce 298 to:
% 46.89/16.13  																																														| (510)  ~ (e2 = e0)
% 46.89/16.13  																																														|
% 46.89/16.13  																																														| Simplifying 510 yields:
% 46.89/16.13  																																														| (76)  ~ (e2 = e0)
% 46.89/16.13  																																														|
% 46.89/16.13  																																														+-Applying beta-rule and splitting (1111), into two cases.
% 46.89/16.13  																																														|-Branch one:
% 46.89/16.13  																																														| (604) all_0_93_93 = e0
% 46.89/16.13  																																														|
% 46.89/16.13  																																															| Combining equations (604,522) yields a new equation:
% 46.89/16.13  																																															| (379) e2 = e0
% 46.89/16.13  																																															|
% 46.89/16.13  																																															| Equations (379) can reduce 76 to:
% 46.89/16.13  																																															| (311) $false
% 46.89/16.13  																																															|
% 46.89/16.13  																																															|-The branch is then unsatisfiable
% 46.89/16.13  																																														|-Branch two:
% 46.89/16.13  																																														| (509)  ~ (all_0_93_93 = e0)
% 46.89/16.13  																																														| (1121) all_0_98_98 = e0
% 46.89/16.13  																																														|
% 46.89/16.13  																																															| Equations (1121) can reduce 2059 to:
% 46.89/16.13  																																															| (311) $false
% 46.89/16.13  																																															|
% 46.89/16.13  																																															|-The branch is then unsatisfiable
% 46.89/16.13  																																													|-Branch two:
% 46.89/16.13  																																													| (946)  ~ (all_0_92_92 = e0)
% 46.89/16.13  																																													| (604) all_0_93_93 = e0
% 46.89/16.13  																																													|
% 46.89/16.13  																																														| Combining equations (604,522) yields a new equation:
% 46.89/16.13  																																														| (379) e2 = e0
% 46.89/16.13  																																														|
% 46.89/16.13  																																														| Equations (379) can reduce 76 to:
% 46.89/16.13  																																														| (311) $false
% 46.89/16.13  																																														|
% 46.89/16.13  																																														|-The branch is then unsatisfiable
% 46.89/16.13  																																									|-Branch two:
% 46.89/16.13  																																									| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.13  																																									| (960) all_0_96_96 = e1
% 46.89/16.13  																																									|
% 46.89/16.13  																																										| Combining equations (1837,960) yields a new equation:
% 46.89/16.13  																																										| (865) e1 = e0
% 46.89/16.13  																																										|
% 46.89/16.13  																																										| Equations (865) can reduce 264 to:
% 46.89/16.13  																																										| (311) $false
% 46.89/16.13  																																										|
% 46.89/16.13  																																										|-The branch is then unsatisfiable
% 46.89/16.13  																																	|-Branch two:
% 46.89/16.13  																																	| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.13  																																	| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.89/16.13  																																	|
% 46.89/16.13  																																		+-Applying beta-rule and splitting (853), into two cases.
% 46.89/16.13  																																		|-Branch one:
% 46.89/16.13  																																		| (744) all_0_95_95 = e3
% 46.89/16.13  																																		|
% 46.89/16.13  																																			| Equations (744) can reduce 765 to:
% 46.89/16.13  																																			| (311) $false
% 46.89/16.13  																																			|
% 46.89/16.13  																																			|-The branch is then unsatisfiable
% 46.89/16.13  																																		|-Branch two:
% 46.89/16.13  																																		| (765)  ~ (all_0_95_95 = e3)
% 46.89/16.13  																																		| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.89/16.13  																																		|
% 46.89/16.13  																																			+-Applying beta-rule and splitting (102), into two cases.
% 46.89/16.13  																																			|-Branch one:
% 46.89/16.13  																																			| (858) all_0_95_95 = e0
% 46.89/16.13  																																			|
% 46.89/16.13  																																				| Equations (858) can reduce 893 to:
% 46.89/16.13  																																				| (311) $false
% 46.89/16.13  																																				|
% 46.89/16.13  																																				|-The branch is then unsatisfiable
% 46.89/16.13  																																			|-Branch two:
% 46.89/16.13  																																			| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.13  																																			| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.13  																																			|
% 46.89/16.13  																																				+-Applying beta-rule and splitting (857), into two cases.
% 46.89/16.13  																																				|-Branch one:
% 46.89/16.13  																																				| (858) all_0_95_95 = e0
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Equations (858) can reduce 893 to:
% 46.89/16.13  																																					| (311) $false
% 46.89/16.13  																																					|
% 46.89/16.13  																																					|-The branch is then unsatisfiable
% 46.89/16.13  																																				|-Branch two:
% 46.89/16.13  																																				| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.13  																																				| (894) all_0_95_95 = e4
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Equations (894) can reduce 315 to:
% 46.89/16.13  																																					| (311) $false
% 46.89/16.13  																																					|
% 46.89/16.13  																																					|-The branch is then unsatisfiable
% 46.89/16.13  																													|-Branch two:
% 46.89/16.13  																													| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.13  																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.89/16.13  																													|
% 46.89/16.13  																														+-Applying beta-rule and splitting (220), into two cases.
% 46.89/16.13  																														|-Branch one:
% 46.89/16.13  																														| (771) all_0_78_78 = e3
% 46.89/16.13  																														|
% 46.89/16.13  																															| Combining equations (400,771) yields a new equation:
% 46.89/16.13  																															| (548) e3 = e2
% 46.89/16.13  																															|
% 46.89/16.13  																															| Equations (548) can reduce 169 to:
% 46.89/16.13  																															| (311) $false
% 46.89/16.13  																															|
% 46.89/16.13  																															|-The branch is then unsatisfiable
% 46.89/16.13  																														|-Branch two:
% 46.89/16.13  																														| (418)  ~ (all_0_78_78 = e3)
% 46.89/16.13  																														| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.89/16.13  																														|
% 46.89/16.13  																															+-Applying beta-rule and splitting (27), into two cases.
% 46.89/16.13  																															|-Branch one:
% 46.89/16.13  																															| (746) all_0_90_90 = e2
% 46.89/16.13  																															|
% 46.89/16.13  																																| Equations (746) can reduce 294 to:
% 46.89/16.13  																																| (311) $false
% 46.89/16.13  																																|
% 46.89/16.13  																																|-The branch is then unsatisfiable
% 46.89/16.13  																															|-Branch two:
% 46.89/16.13  																															| (294)  ~ (all_0_90_90 = e2)
% 46.89/16.13  																															| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.89/16.13  																															|
% 46.89/16.13  																																+-Applying beta-rule and splitting (749), into two cases.
% 46.89/16.13  																																|-Branch one:
% 46.89/16.13  																																| (750) all_0_90_90 = e1
% 46.89/16.13  																																|
% 46.89/16.13  																																	| Equations (750) can reduce 229 to:
% 46.89/16.13  																																	| (679)  ~ (all_0_95_95 = e1)
% 46.89/16.13  																																	|
% 46.89/16.13  																																	| Simplifying 679 yields:
% 46.89/16.13  																																	| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.13  																																	|
% 46.89/16.13  																																	| Equations (750) can reduce 467 to:
% 46.89/16.13  																																	| (681)  ~ (e4 = e1)
% 46.89/16.13  																																	|
% 46.89/16.13  																																	| Simplifying 681 yields:
% 46.89/16.13  																																	| (256)  ~ (e4 = e1)
% 46.89/16.13  																																	|
% 46.89/16.13  																																	+-Applying beta-rule and splitting (176), into two cases.
% 46.89/16.13  																																	|-Branch one:
% 46.89/16.13  																																	| (785) all_0_95_95 = e1
% 46.89/16.13  																																	|
% 46.89/16.13  																																		| Equations (785) can reduce 680 to:
% 46.89/16.13  																																		| (311) $false
% 46.89/16.13  																																		|
% 46.89/16.13  																																		|-The branch is then unsatisfiable
% 46.89/16.13  																																	|-Branch two:
% 46.89/16.13  																																	| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.13  																																	| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.89/16.13  																																	|
% 46.89/16.13  																																		+-Applying beta-rule and splitting (775), into two cases.
% 46.89/16.13  																																		|-Branch one:
% 46.89/16.13  																																		| (789) all_0_82_82 = e3
% 46.89/16.13  																																		|
% 46.89/16.13  																																			| Combining equations (469,789) yields a new equation:
% 46.89/16.13  																																			| (790) e4 = e3
% 46.89/16.13  																																			|
% 46.89/16.13  																																			| Simplifying 790 yields:
% 46.89/16.13  																																			| (434) e4 = e3
% 46.89/16.13  																																			|
% 46.89/16.13  																																			| Equations (434) can reduce 177 to:
% 46.89/16.13  																																			| (311) $false
% 46.89/16.13  																																			|
% 46.89/16.13  																																			|-The branch is then unsatisfiable
% 46.89/16.13  																																		|-Branch two:
% 46.89/16.13  																																		| (793)  ~ (all_0_82_82 = e3)
% 46.89/16.13  																																		| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.89/16.13  																																		|
% 46.89/16.13  																																			+-Applying beta-rule and splitting (788), into two cases.
% 46.89/16.13  																																			|-Branch one:
% 46.89/16.13  																																			| (960) all_0_96_96 = e1
% 46.89/16.13  																																			|
% 46.89/16.13  																																				| Equations (960) can reduce 43 to:
% 46.89/16.13  																																				| (1803)  ~ (all_0_98_98 = e1)
% 46.89/16.13  																																				|
% 46.89/16.13  																																				| Simplifying 1803 yields:
% 46.89/16.13  																																				| (1804)  ~ (all_0_98_98 = e1)
% 46.89/16.13  																																				|
% 46.89/16.13  																																				| Equations (960) can reduce 964 to:
% 46.89/16.13  																																				| (683)  ~ (e3 = e1)
% 46.89/16.13  																																				|
% 46.89/16.13  																																				| Simplifying 683 yields:
% 46.89/16.13  																																				| (20)  ~ (e3 = e1)
% 46.89/16.13  																																				|
% 46.89/16.13  																																				| From (960) and (4960) follows:
% 46.89/16.13  																																				| (1959) op(e2, e1) = e0
% 46.89/16.13  																																				|
% 46.89/16.13  																																				+-Applying beta-rule and splitting (794), into two cases.
% 46.89/16.13  																																				|-Branch one:
% 46.89/16.13  																																				| (754) all_0_90_90 = e3
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Combining equations (750,754) yields a new equation:
% 46.89/16.13  																																					| (772) e3 = e1
% 46.89/16.13  																																					|
% 46.89/16.13  																																					| Equations (772) can reduce 20 to:
% 46.89/16.13  																																					| (311) $false
% 46.89/16.13  																																					|
% 46.89/16.13  																																					|-The branch is then unsatisfiable
% 46.89/16.13  																																				|-Branch two:
% 46.89/16.13  																																				| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.13  																																				| (744) all_0_95_95 = e3
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Equations (744) can reduce 107 to:
% 46.89/16.13  																																					| (1518)  ~ (all_0_98_98 = e3)
% 46.89/16.13  																																					|
% 46.89/16.13  																																					| Simplifying 1518 yields:
% 46.89/16.13  																																					| (1519)  ~ (all_0_98_98 = e3)
% 46.89/16.13  																																					|
% 46.89/16.13  																																					+-Applying beta-rule and splitting (48), into two cases.
% 46.89/16.13  																																					|-Branch one:
% 46.89/16.13  																																					| (525) all_0_98_98 = e2
% 46.89/16.13  																																					|
% 46.89/16.13  																																						| Equations (525) can reduce 1349 to:
% 46.89/16.13  																																						| (311) $false
% 46.89/16.13  																																						|
% 46.89/16.13  																																						|-The branch is then unsatisfiable
% 46.89/16.13  																																					|-Branch two:
% 46.89/16.13  																																					| (1349)  ~ (all_0_98_98 = e2)
% 46.89/16.13  																																					| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.89/16.13  																																					|
% 46.89/16.13  																																						+-Applying beta-rule and splitting (5118), into two cases.
% 46.89/16.13  																																						|-Branch one:
% 46.89/16.13  																																						| (1543) all_0_98_98 = e1
% 46.89/16.13  																																						|
% 46.89/16.13  																																							| Equations (1543) can reduce 1804 to:
% 46.89/16.13  																																							| (311) $false
% 46.89/16.13  																																							|
% 46.89/16.13  																																							|-The branch is then unsatisfiable
% 46.89/16.13  																																						|-Branch two:
% 46.89/16.13  																																						| (1804)  ~ (all_0_98_98 = e1)
% 46.89/16.13  																																						| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.89/16.13  																																						|
% 46.89/16.13  																																							+-Applying beta-rule and splitting (5122), into two cases.
% 46.89/16.13  																																							|-Branch one:
% 46.89/16.13  																																							| (969) all_0_98_98 = e3
% 46.89/16.13  																																							|
% 46.89/16.13  																																								| Equations (969) can reduce 1519 to:
% 46.89/16.13  																																								| (311) $false
% 46.89/16.13  																																								|
% 46.89/16.13  																																								|-The branch is then unsatisfiable
% 46.89/16.13  																																							|-Branch two:
% 46.89/16.13  																																							| (1519)  ~ (all_0_98_98 = e3)
% 46.89/16.13  																																							| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.89/16.13  																																							|
% 46.89/16.13  																																								+-Applying beta-rule and splitting (5284), into two cases.
% 46.89/16.13  																																								|-Branch one:
% 46.89/16.13  																																								| (1121) all_0_98_98 = e0
% 46.89/16.13  																																								|
% 46.89/16.13  																																									| Equations (1121) can reduce 1349 to:
% 46.89/16.13  																																									| (510)  ~ (e2 = e0)
% 46.89/16.13  																																									|
% 46.89/16.13  																																									| Simplifying 510 yields:
% 46.89/16.13  																																									| (76)  ~ (e2 = e0)
% 46.89/16.13  																																									|
% 46.89/16.13  																																									| Instantiating formula (262) with e2, e1, e0, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields:
% 46.89/16.13  																																									| (379) e2 = e0
% 46.89/16.13  																																									|
% 46.89/16.13  																																									| Equations (379) can reduce 76 to:
% 46.89/16.13  																																									| (311) $false
% 46.89/16.13  																																									|
% 46.89/16.13  																																									|-The branch is then unsatisfiable
% 46.89/16.13  																																								|-Branch two:
% 46.89/16.13  																																								| (2059)  ~ (all_0_98_98 = e0)
% 46.89/16.13  																																								| (2650) all_0_98_98 = e4
% 46.89/16.13  																																								|
% 46.89/16.13  																																									| Equations (2650) can reduce 321 to:
% 46.89/16.13  																																									| (311) $false
% 46.89/16.13  																																									|
% 46.89/16.13  																																									|-The branch is then unsatisfiable
% 46.89/16.13  																																			|-Branch two:
% 46.89/16.13  																																			| (1479)  ~ (all_0_96_96 = e1)
% 46.89/16.13  																																			| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.89/16.13  																																			|
% 46.89/16.13  																																				+-Applying beta-rule and splitting (2126), into two cases.
% 46.89/16.13  																																				|-Branch one:
% 46.89/16.13  																																				| (542) all_0_97_97 = e1
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Combining equations (542,610) yields a new equation:
% 46.89/16.13  																																					| (814) e4 = e1
% 46.89/16.13  																																					|
% 46.89/16.13  																																					| Equations (814) can reduce 256 to:
% 46.89/16.13  																																					| (311) $false
% 46.89/16.13  																																					|
% 46.89/16.13  																																					|-The branch is then unsatisfiable
% 46.89/16.13  																																				|-Branch two:
% 46.89/16.13  																																				| (486)  ~ (all_0_97_97 = e1)
% 46.89/16.13  																																				| (1543) all_0_98_98 = e1
% 46.89/16.13  																																				|
% 46.89/16.13  																																					| Equations (1543) can reduce 1804 to:
% 46.89/16.13  																																					| (311) $false
% 46.89/16.13  																																					|
% 46.89/16.13  																																					|-The branch is then unsatisfiable
% 46.89/16.13  																																|-Branch two:
% 46.89/16.13  																																| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.13  																																| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 46.89/16.13  																																|
% 46.89/16.13  																																	+-Applying beta-rule and splitting (753), into two cases.
% 46.89/16.13  																																	|-Branch one:
% 46.89/16.13  																																	| (754) all_0_90_90 = e3
% 46.89/16.13  																																	|
% 46.89/16.13  																																		| Equations (754) can reduce 745 to:
% 46.89/16.13  																																		| (311) $false
% 46.89/16.13  																																		|
% 46.89/16.13  																																		|-The branch is then unsatisfiable
% 46.89/16.13  																																	|-Branch two:
% 46.89/16.13  																																	| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.13  																																	| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 46.89/16.13  																																	|
% 46.89/16.13  																																		+-Applying beta-rule and splitting (757), into two cases.
% 46.89/16.13  																																		|-Branch one:
% 46.89/16.13  																																		| (758) all_0_90_90 = e0
% 46.89/16.13  																																		|
% 46.89/16.13  																																			| Equations (758) can reduce 762 to:
% 46.89/16.13  																																			| (311) $false
% 46.89/16.13  																																			|
% 46.89/16.13  																																			|-The branch is then unsatisfiable
% 46.89/16.13  																																		|-Branch two:
% 46.89/16.13  																																		| (762)  ~ (all_0_90_90 = e0)
% 46.89/16.13  																																		| (583) all_0_90_90 = e4
% 46.89/16.13  																																		|
% 46.89/16.13  																																			| Equations (583) can reduce 467 to:
% 46.89/16.13  																																			| (311) $false
% 46.89/16.13  																																			|
% 46.89/16.13  																																			|-The branch is then unsatisfiable
% 46.89/16.13  																												|-Branch two:
% 46.89/16.13  																												| (319)  ~ (all_0_97_97 = e4)
% 46.89/16.13  																												| (2650) all_0_98_98 = e4
% 46.89/16.13  																												|
% 46.89/16.13  																													| Equations (2650) can reduce 321 to:
% 46.89/16.13  																													| (311) $false
% 46.89/16.13  																													|
% 46.89/16.13  																													|-The branch is then unsatisfiable
% 46.89/16.14  																									|-Branch two:
% 46.89/16.14  																									| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.14  																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.89/16.14  																									|
% 46.89/16.14  																										+-Applying beta-rule and splitting (472), into two cases.
% 46.89/16.14  																										|-Branch one:
% 46.89/16.14  																										| (438) all_0_84_84 = e4
% 46.89/16.14  																										|
% 46.89/16.14  																											| Equations (438) can reduce 7 to:
% 46.89/16.14  																											| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.14  																											|
% 46.89/16.14  																											| Equations (438) can reduce 154 to:
% 46.89/16.14  																											| (647)  ~ (all_0_85_85 = e4)
% 46.89/16.14  																											|
% 46.89/16.14  																											| Simplifying 647 yields:
% 46.89/16.14  																											| (648)  ~ (all_0_85_85 = e4)
% 46.89/16.14  																											|
% 46.89/16.14  																											| Equations (438) can reduce 612 to:
% 46.89/16.14  																											| (79)  ~ (e4 = e2)
% 46.89/16.14  																											|
% 46.89/16.14  																											| Equations (438) can reduce 259 to:
% 46.89/16.14  																											| (256)  ~ (e4 = e1)
% 46.89/16.14  																											|
% 46.89/16.14  																											+-Applying beta-rule and splitting (4), into two cases.
% 46.89/16.14  																											|-Branch one:
% 46.89/16.14  																											| (463) all_0_78_78 = e4
% 46.89/16.14  																											|
% 46.89/16.14  																												| Combining equations (400,463) yields a new equation:
% 46.89/16.14  																												| (310) e4 = e2
% 46.89/16.14  																												|
% 46.89/16.14  																												| Equations (310) can reduce 79 to:
% 46.89/16.14  																												| (311) $false
% 46.89/16.14  																												|
% 46.89/16.14  																												|-The branch is then unsatisfiable
% 46.89/16.14  																											|-Branch two:
% 46.89/16.14  																											| (640)  ~ (all_0_78_78 = e4)
% 46.89/16.14  																											| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.89/16.14  																											|
% 46.89/16.14  																												+-Applying beta-rule and splitting (3625), into two cases.
% 46.89/16.14  																												|-Branch one:
% 46.89/16.14  																												| (469) all_0_82_82 = e4
% 46.89/16.14  																												|
% 46.89/16.14  																													| Equations (469) can reduce 465 to:
% 46.89/16.14  																													| (311) $false
% 46.89/16.14  																													|
% 46.89/16.14  																													|-The branch is then unsatisfiable
% 46.89/16.14  																												|-Branch two:
% 46.89/16.14  																												| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.14  																												| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 46.89/16.14  																												|
% 46.89/16.14  																													+-Applying beta-rule and splitting (3629), into two cases.
% 46.89/16.14  																													|-Branch one:
% 46.89/16.14  																													| (583) all_0_90_90 = e4
% 46.89/16.14  																													|
% 46.89/16.14  																														| Equations (583) can reduce 467 to:
% 46.89/16.14  																														| (311) $false
% 46.89/16.14  																														|
% 46.89/16.14  																														|-The branch is then unsatisfiable
% 46.89/16.14  																													|-Branch two:
% 46.89/16.14  																													| (467)  ~ (all_0_90_90 = e4)
% 46.89/16.14  																													| (894) all_0_95_95 = e4
% 46.89/16.14  																													|
% 46.89/16.14  																														| Equations (894) can reduce 200 to:
% 46.89/16.14  																														| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.14  																														|
% 46.89/16.14  																														| Equations (894) can reduce 893 to:
% 46.89/16.14  																														| (23)  ~ (e4 = e0)
% 46.89/16.14  																														|
% 46.89/16.14  																														+-Applying beta-rule and splitting (10), into two cases.
% 46.89/16.14  																														|-Branch one:
% 46.89/16.14  																														| (530) all_0_82_82 = e2
% 46.89/16.14  																														|
% 46.89/16.14  																															| Equations (530) can reduce 347 to:
% 46.89/16.14  																															| (311) $false
% 46.89/16.14  																															|
% 46.89/16.14  																															|-The branch is then unsatisfiable
% 46.89/16.14  																														|-Branch two:
% 46.89/16.14  																														| (347)  ~ (all_0_82_82 = e2)
% 46.89/16.14  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 46.89/16.14  																														|
% 46.89/16.14  																															+-Applying beta-rule and splitting (176), into two cases.
% 46.89/16.14  																															|-Branch one:
% 46.89/16.14  																															| (785) all_0_95_95 = e1
% 46.89/16.14  																															|
% 46.89/16.14  																																| Combining equations (785,894) yields a new equation:
% 46.89/16.14  																																| (814) e4 = e1
% 46.89/16.14  																																|
% 46.89/16.14  																																| Equations (814) can reduce 256 to:
% 46.89/16.14  																																| (311) $false
% 46.89/16.14  																																|
% 46.89/16.14  																																|-The branch is then unsatisfiable
% 46.89/16.14  																															|-Branch two:
% 46.89/16.14  																															| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.14  																															| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 46.89/16.14  																															|
% 46.89/16.14  																																+-Applying beta-rule and splitting (2205), into two cases.
% 46.89/16.14  																																|-Branch one:
% 46.89/16.14  																																| (789) all_0_82_82 = e3
% 46.89/16.14  																																|
% 46.89/16.14  																																	| Equations (789) can reduce 209 to:
% 46.89/16.14  																																	| (2358)  ~ (all_0_85_85 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Simplifying 2358 yields:
% 46.89/16.14  																																	| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Equations (789) can reduce 255 to:
% 46.89/16.14  																																	| (1815)  ~ (all_0_90_90 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Simplifying 1815 yields:
% 46.89/16.14  																																	| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Equations (789) can reduce 465 to:
% 46.89/16.14  																																	| (783)  ~ (e4 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Simplifying 783 yields:
% 46.89/16.14  																																	| (177)  ~ (e4 = e3)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	| Equations (789) can reduce 347 to:
% 46.89/16.14  																																	| (169)  ~ (e3 = e2)
% 46.89/16.14  																																	|
% 46.89/16.14  																																	+-Applying beta-rule and splitting (182), into two cases.
% 46.89/16.14  																																	|-Branch one:
% 46.89/16.14  																																	| (512) all_0_85_85 = e2
% 46.89/16.14  																																	|
% 46.89/16.14  																																		| Equations (512) can reduce 515 to:
% 46.89/16.14  																																		| (311) $false
% 46.89/16.14  																																		|
% 46.89/16.14  																																		|-The branch is then unsatisfiable
% 46.89/16.14  																																	|-Branch two:
% 46.89/16.14  																																	| (515)  ~ (all_0_85_85 = e2)
% 46.89/16.14  																																	| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 46.89/16.14  																																	|
% 46.89/16.14  																																		+-Applying beta-rule and splitting (788), into two cases.
% 46.89/16.14  																																		|-Branch one:
% 46.89/16.14  																																		| (960) all_0_96_96 = e1
% 46.89/16.14  																																		|
% 46.89/16.14  																																			| Equations (960) can reduce 64 to:
% 46.89/16.14  																																			| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.14  																																			|
% 46.89/16.14  																																			| Equations (960) can reduce 22 to:
% 46.89/16.14  																																			| (485)  ~ (all_0_97_97 = e1)
% 46.89/16.14  																																			|
% 46.89/16.14  																																			| Simplifying 485 yields:
% 46.89/16.14  																																			| (486)  ~ (all_0_97_97 = e1)
% 46.89/16.14  																																			|
% 46.89/16.14  																																			| Equations (960) can reduce 1638 to:
% 46.89/16.14  																																			| (487)  ~ (e2 = e1)
% 46.89/16.14  																																			|
% 46.89/16.14  																																			| Simplifying 487 yields:
% 46.89/16.14  																																			| (243)  ~ (e2 = e1)
% 46.89/16.14  																																			|
% 46.89/16.14  																																			| From (960) and (4960) follows:
% 46.89/16.14  																																			| (1959) op(e2, e1) = e0
% 46.89/16.14  																																			|
% 46.89/16.14  																																			+-Applying beta-rule and splitting (132), into two cases.
% 46.89/16.14  																																			|-Branch one:
% 46.89/16.14  																																			| (750) all_0_90_90 = e1
% 46.89/16.14  																																			|
% 46.89/16.14  																																				| Equations (750) can reduce 103 to:
% 46.89/16.14  																																				| (1669)  ~ (all_0_91_91 = e1)
% 46.89/16.14  																																				|
% 46.89/16.14  																																				| Simplifying 1669 yields:
% 46.89/16.14  																																				| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.14  																																				|
% 46.89/16.14  																																				| Equations (750) can reduce 745 to:
% 46.89/16.14  																																				| (683)  ~ (e3 = e1)
% 46.89/16.14  																																				|
% 46.89/16.14  																																				| Simplifying 683 yields:
% 46.89/16.14  																																				| (20)  ~ (e3 = e1)
% 46.89/16.14  																																				|
% 46.89/16.14  																																				| Equations (750) can reduce 762 to:
% 46.89/16.14  																																				| (264)  ~ (e1 = e0)
% 46.89/16.14  																																				|
% 46.89/16.14  																																				+-Applying beta-rule and splitting (250), into two cases.
% 46.89/16.14  																																				|-Branch one:
% 46.89/16.14  																																				| (635) all_0_81_81 = e3
% 46.89/16.14  																																				|
% 46.89/16.14  																																					| Combining equations (638,635) yields a new equation:
% 46.89/16.14  																																					| (790) e4 = e3
% 46.89/16.14  																																					|
% 46.89/16.14  																																					| Simplifying 790 yields:
% 46.89/16.14  																																					| (434) e4 = e3
% 46.89/16.14  																																					|
% 46.89/16.14  																																					| Equations (434) can reduce 177 to:
% 46.89/16.14  																																					| (311) $false
% 46.89/16.14  																																					|
% 46.89/16.14  																																					|-The branch is then unsatisfiable
% 46.89/16.14  																																				|-Branch two:
% 46.89/16.14  																																				| (420)  ~ (all_0_81_81 = e3)
% 46.89/16.14  																																				| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.89/16.14  																																				|
% 46.89/16.14  																																					+-Applying beta-rule and splitting (282), into two cases.
% 46.89/16.14  																																					|-Branch one:
% 46.89/16.14  																																					| (754) all_0_90_90 = e3
% 46.89/16.14  																																					|
% 46.89/16.14  																																						| Combining equations (754,750) yields a new equation:
% 46.89/16.14  																																						| (825) e3 = e1
% 46.89/16.14  																																						|
% 46.89/16.14  																																						| Simplifying 825 yields:
% 46.89/16.14  																																						| (772) e3 = e1
% 46.89/16.14  																																						|
% 46.89/16.14  																																						| Equations (772) can reduce 20 to:
% 46.89/16.14  																																						| (311) $false
% 46.89/16.14  																																						|
% 46.89/16.14  																																						|-The branch is then unsatisfiable
% 46.89/16.14  																																					|-Branch two:
% 46.89/16.14  																																					| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.14  																																					| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 46.89/16.14  																																					|
% 46.89/16.14  																																						+-Applying beta-rule and splitting (284), into two cases.
% 46.89/16.14  																																						|-Branch one:
% 46.89/16.14  																																						| (1723) all_0_91_91 = e2
% 46.89/16.14  																																						|
% 46.89/16.14  																																							| Equations (1723) can reduce 296 to:
% 46.89/16.14  																																							| (311) $false
% 46.89/16.14  																																							|
% 46.89/16.14  																																							|-The branch is then unsatisfiable
% 46.89/16.14  																																						|-Branch two:
% 46.89/16.14  																																						| (296)  ~ (all_0_91_91 = e2)
% 46.89/16.14  																																						| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 46.89/16.14  																																						|
% 46.89/16.14  																																							+-Applying beta-rule and splitting (4488), into two cases.
% 46.89/16.14  																																							|-Branch one:
% 46.89/16.14  																																							| (804) all_0_85_85 = e3
% 46.89/16.14  																																							|
% 46.89/16.14  																																								| Equations (804) can reduce 952 to:
% 46.89/16.14  																																								| (311) $false
% 46.89/16.14  																																								|
% 46.89/16.14  																																								|-The branch is then unsatisfiable
% 46.89/16.14  																																							|-Branch two:
% 46.89/16.14  																																							| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.14  																																							| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.89/16.14  																																							|
% 46.89/16.14  																																								+-Applying beta-rule and splitting (4559), into two cases.
% 46.89/16.14  																																								|-Branch one:
% 46.89/16.14  																																								| (570) all_0_93_93 = e3
% 46.89/16.14  																																								|
% 46.89/16.14  																																									| Combining equations (522,570) yields a new equation:
% 46.89/16.14  																																									| (548) e3 = e2
% 46.89/16.14  																																									|
% 46.89/16.14  																																									| Equations (548) can reduce 169 to:
% 46.89/16.14  																																									| (311) $false
% 46.89/16.14  																																									|
% 46.89/16.14  																																									|-The branch is then unsatisfiable
% 46.89/16.14  																																								|-Branch two:
% 46.89/16.14  																																								| (602)  ~ (all_0_93_93 = e3)
% 46.89/16.14  																																								| (969) all_0_98_98 = e3
% 46.89/16.14  																																								|
% 46.89/16.14  																																									| Equations (969) can reduce 75 to:
% 46.89/16.14  																																									| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.14  																																									|
% 46.89/16.14  																																									| Equations (969) can reduce 1349 to:
% 46.89/16.14  																																									| (169)  ~ (e3 = e2)
% 46.89/16.14  																																									|
% 46.89/16.14  																																									+-Applying beta-rule and splitting (849), into two cases.
% 46.89/16.14  																																									|-Branch one:
% 46.89/16.14  																																									| (588) all_0_91_91 = e3
% 46.89/16.14  																																									|
% 46.89/16.14  																																										| Equations (588) can reduce 571 to:
% 46.89/16.14  																																										| (311) $false
% 46.89/16.14  																																										|
% 46.89/16.14  																																										|-The branch is then unsatisfiable
% 46.89/16.14  																																									|-Branch two:
% 46.89/16.14  																																									| (571)  ~ (all_0_91_91 = e3)
% 46.89/16.14  																																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 46.89/16.14  																																									|
% 46.89/16.14  																																										+-Applying beta-rule and splitting (881), into two cases.
% 46.89/16.14  																																										|-Branch one:
% 46.89/16.14  																																										| (882) all_0_92_92 = e3
% 46.89/16.14  																																										|
% 46.89/16.14  																																											| Equations (882) can reduce 265 to:
% 46.89/16.14  																																											| (571)  ~ (all_0_91_91 = e3)
% 46.89/16.14  																																											|
% 46.89/16.14  																																											+-Applying beta-rule and splitting (291), into two cases.
% 46.89/16.14  																																											|-Branch one:
% 46.89/16.14  																																											| (758) all_0_90_90 = e0
% 46.89/16.14  																																											|
% 46.89/16.14  																																												| Combining equations (750,758) yields a new equation:
% 46.89/16.14  																																												| (1107) e1 = e0
% 46.89/16.14  																																												|
% 46.89/16.14  																																												| Simplifying 1107 yields:
% 46.89/16.14  																																												| (865) e1 = e0
% 46.89/16.14  																																												|
% 46.89/16.14  																																												| Equations (865) can reduce 264 to:
% 46.89/16.14  																																												| (311) $false
% 46.89/16.14  																																												|
% 46.89/16.14  																																												|-The branch is then unsatisfiable
% 46.89/16.14  																																											|-Branch two:
% 46.89/16.14  																																											| (762)  ~ (all_0_90_90 = e0)
% 46.89/16.14  																																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.14  																																											|
% 46.89/16.14  																																												+-Applying beta-rule and splitting (1726), into two cases.
% 46.89/16.14  																																												|-Branch one:
% 46.89/16.14  																																												| (801) all_0_91_91 = e1
% 46.89/16.14  																																												|
% 46.89/16.14  																																													| Equations (801) can reduce 959 to:
% 46.89/16.14  																																													| (311) $false
% 46.89/16.14  																																													|
% 46.89/16.14  																																													|-The branch is then unsatisfiable
% 46.89/16.14  																																												|-Branch two:
% 46.89/16.14  																																												| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.14  																																												| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 46.89/16.14  																																												|
% 46.89/16.14  																																													+-Applying beta-rule and splitting (1455), into two cases.
% 46.89/16.14  																																													|-Branch one:
% 46.89/16.14  																																													| (1456) all_0_91_91 = e0
% 46.89/16.14  																																													|
% 46.89/16.14  																																														| Equations (1456) can reduce 133 to:
% 46.89/16.14  																																														| (904)  ~ (e4 = e0)
% 46.89/16.14  																																														|
% 46.89/16.14  																																														| Simplifying 904 yields:
% 46.89/16.14  																																														| (23)  ~ (e4 = e0)
% 46.89/16.14  																																														|
% 46.89/16.14  																																														+-Applying beta-rule and splitting (102), into two cases.
% 46.89/16.14  																																														|-Branch one:
% 46.89/16.14  																																														| (858) all_0_95_95 = e0
% 46.89/16.14  																																														|
% 46.89/16.14  																																															| Combining equations (894,858) yields a new equation:
% 46.89/16.14  																																															| (911) e4 = e0
% 46.89/16.14  																																															|
% 46.89/16.14  																																															| Simplifying 911 yields:
% 46.89/16.14  																																															| (912) e4 = e0
% 46.89/16.14  																																															|
% 46.89/16.14  																																															| Equations (912) can reduce 23 to:
% 46.89/16.14  																																															| (311) $false
% 46.89/16.14  																																															|
% 46.89/16.14  																																															|-The branch is then unsatisfiable
% 46.89/16.14  																																														|-Branch two:
% 46.89/16.14  																																														| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.14  																																														| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.14  																																														|
% 46.89/16.14  																																															+-Applying beta-rule and splitting (289), into two cases.
% 46.89/16.14  																																															|-Branch one:
% 46.89/16.14  																																															| (954) all_0_85_85 = e0
% 46.89/16.14  																																															|
% 46.89/16.14  																																																| Equations (954) can reduce 952 to:
% 46.89/16.14  																																																| (906)  ~ (e3 = e0)
% 46.89/16.14  																																																|
% 46.89/16.14  																																																| Simplifying 906 yields:
% 46.89/16.14  																																																| (50)  ~ (e3 = e0)
% 46.89/16.14  																																																|
% 46.89/16.14  																																																| Equations (954) can reduce 128 to:
% 46.89/16.14  																																																| (859)  ~ (e1 = e0)
% 46.89/16.14  																																																|
% 46.89/16.14  																																																| Simplifying 859 yields:
% 46.89/16.14  																																																| (264)  ~ (e1 = e0)
% 46.89/16.14  																																																|
% 46.89/16.14  																																																+-Applying beta-rule and splitting (1921), into two cases.
% 46.89/16.14  																																																|-Branch one:
% 46.89/16.14  																																																| (1837) all_0_96_96 = e0
% 46.89/16.14  																																																|
% 46.89/16.14  																																																	| Combining equations (1837,960) yields a new equation:
% 46.89/16.14  																																																	| (865) e1 = e0
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																	| Equations (865) can reduce 264 to:
% 46.89/16.14  																																																	| (311) $false
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																	|-The branch is then unsatisfiable
% 46.89/16.14  																																																|-Branch two:
% 46.89/16.14  																																																| (2095)  ~ (all_0_96_96 = e0)
% 46.89/16.14  																																																| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.14  																																																|
% 46.89/16.14  																																																	+-Applying beta-rule and splitting (2096), into two cases.
% 46.89/16.14  																																																	|-Branch one:
% 46.89/16.14  																																																	| (560) all_0_97_97 = e0
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																		| Equations (560) can reduce 527 to:
% 46.89/16.14  																																																		| (510)  ~ (e2 = e0)
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		| Simplifying 510 yields:
% 46.89/16.14  																																																		| (76)  ~ (e2 = e0)
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		| Instantiating formula (262) with e2, e1, e0, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields:
% 46.89/16.14  																																																		| (379) e2 = e0
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		| Equations (379) can reduce 76 to:
% 46.89/16.14  																																																		| (311) $false
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		|-The branch is then unsatisfiable
% 46.89/16.14  																																																	|-Branch two:
% 46.89/16.14  																																																	| (609)  ~ (all_0_97_97 = e0)
% 46.89/16.14  																																																	| (1121) all_0_98_98 = e0
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																		| Combining equations (1121,969) yields a new equation:
% 46.89/16.14  																																																		| (600) e3 = e0
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		| Equations (600) can reduce 50 to:
% 46.89/16.14  																																																		| (311) $false
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		|-The branch is then unsatisfiable
% 46.89/16.14  																																															|-Branch two:
% 46.89/16.14  																																															| (800)  ~ (all_0_85_85 = e0)
% 46.89/16.14  																																															| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 46.89/16.14  																																															|
% 46.89/16.14  																																																+-Applying beta-rule and splitting (725), into two cases.
% 46.89/16.14  																																																|-Branch one:
% 46.89/16.14  																																																| (804) all_0_85_85 = e3
% 46.89/16.14  																																																|
% 46.89/16.14  																																																	| Equations (804) can reduce 952 to:
% 46.89/16.14  																																																	| (311) $false
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																	|-The branch is then unsatisfiable
% 46.89/16.14  																																																|-Branch two:
% 46.89/16.14  																																																| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.14  																																																| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.89/16.14  																																																|
% 46.89/16.14  																																																	+-Applying beta-rule and splitting (953), into two cases.
% 46.89/16.14  																																																	|-Branch one:
% 46.89/16.14  																																																	| (954) all_0_85_85 = e0
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																		| Equations (954) can reduce 800 to:
% 46.89/16.14  																																																		| (311) $false
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		|-The branch is then unsatisfiable
% 46.89/16.14  																																																	|-Branch two:
% 46.89/16.14  																																																	| (800)  ~ (all_0_85_85 = e0)
% 46.89/16.14  																																																	| (493) all_0_85_85 = e4
% 46.89/16.14  																																																	|
% 46.89/16.14  																																																		| Equations (493) can reduce 648 to:
% 46.89/16.14  																																																		| (311) $false
% 46.89/16.14  																																																		|
% 46.89/16.14  																																																		|-The branch is then unsatisfiable
% 46.89/16.14  																																													|-Branch two:
% 46.89/16.14  																																													| (1487)  ~ (all_0_91_91 = e0)
% 46.89/16.14  																																													| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.14  																																													|
% 46.89/16.14  																																														+-Applying beta-rule and splitting (1880), into two cases.
% 46.89/16.14  																																														|-Branch one:
% 46.89/16.14  																																														| (588) all_0_91_91 = e3
% 46.89/16.14  																																														|
% 46.89/16.14  																																															| Equations (588) can reduce 571 to:
% 46.89/16.14  																																															| (311) $false
% 46.89/16.14  																																															|
% 46.89/16.14  																																															|-The branch is then unsatisfiable
% 46.89/16.14  																																														|-Branch two:
% 46.89/16.14  																																														| (571)  ~ (all_0_91_91 = e3)
% 46.89/16.14  																																														| (1456) all_0_91_91 = e0
% 46.89/16.14  																																														|
% 46.89/16.14  																																															| Equations (1456) can reduce 1487 to:
% 46.89/16.14  																																															| (311) $false
% 46.89/16.14  																																															|
% 46.89/16.14  																																															|-The branch is then unsatisfiable
% 46.89/16.14  																																										|-Branch two:
% 46.89/16.14  																																										| (426)  ~ (all_0_92_92 = e3)
% 46.89/16.14  																																										| (570) all_0_93_93 = e3
% 46.89/16.14  																																										|
% 46.89/16.14  																																											| Combining equations (522,570) yields a new equation:
% 46.89/16.14  																																											| (548) e3 = e2
% 46.89/16.14  																																											|
% 46.89/16.14  																																											| Equations (548) can reduce 169 to:
% 46.89/16.14  																																											| (311) $false
% 46.89/16.14  																																											|
% 46.89/16.14  																																											|-The branch is then unsatisfiable
% 46.89/16.14  																																			|-Branch two:
% 46.89/16.14  																																			| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.14  																																			| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.89/16.14  																																			|
% 46.89/16.15  																																				+-Applying beta-rule and splitting (725), into two cases.
% 46.89/16.15  																																				|-Branch one:
% 46.89/16.15  																																				| (804) all_0_85_85 = e3
% 46.89/16.15  																																				|
% 46.89/16.15  																																					| Equations (804) can reduce 952 to:
% 46.89/16.15  																																					| (311) $false
% 46.89/16.15  																																					|
% 46.89/16.15  																																					|-The branch is then unsatisfiable
% 46.89/16.15  																																				|-Branch two:
% 46.89/16.15  																																				| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.15  																																				| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 46.89/16.15  																																				|
% 46.89/16.15  																																					+-Applying beta-rule and splitting (953), into two cases.
% 46.89/16.15  																																					|-Branch one:
% 46.89/16.15  																																					| (954) all_0_85_85 = e0
% 46.89/16.15  																																					|
% 46.89/16.15  																																						| Equations (954) can reduce 75 to:
% 46.89/16.15  																																						| (2058)  ~ (all_0_98_98 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						| Simplifying 2058 yields:
% 46.89/16.15  																																						| (2059)  ~ (all_0_98_98 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						| Equations (954) can reduce 648 to:
% 46.89/16.15  																																						| (904)  ~ (e4 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						| Simplifying 904 yields:
% 46.89/16.15  																																						| (23)  ~ (e4 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						| Equations (954) can reduce 128 to:
% 46.89/16.15  																																						| (859)  ~ (e1 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						| Simplifying 859 yields:
% 46.89/16.15  																																						| (264)  ~ (e1 = e0)
% 46.89/16.15  																																						|
% 46.89/16.15  																																						+-Applying beta-rule and splitting (102), into two cases.
% 46.89/16.15  																																						|-Branch one:
% 46.89/16.15  																																						| (858) all_0_95_95 = e0
% 46.89/16.15  																																						|
% 46.89/16.15  																																							| Combining equations (858,894) yields a new equation:
% 46.89/16.15  																																							| (912) e4 = e0
% 46.89/16.15  																																							|
% 46.89/16.15  																																							| Equations (912) can reduce 23 to:
% 46.89/16.15  																																							| (311) $false
% 46.89/16.15  																																							|
% 46.89/16.15  																																							|-The branch is then unsatisfiable
% 46.89/16.15  																																						|-Branch two:
% 46.89/16.15  																																						| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.15  																																						| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.15  																																						|
% 46.89/16.15  																																							+-Applying beta-rule and splitting (1921), into two cases.
% 46.89/16.15  																																							|-Branch one:
% 46.89/16.15  																																							| (1837) all_0_96_96 = e0
% 46.89/16.15  																																							|
% 46.89/16.15  																																								| Combining equations (960,1837) yields a new equation:
% 46.89/16.15  																																								| (1107) e1 = e0
% 46.89/16.15  																																								|
% 46.89/16.15  																																								| Simplifying 1107 yields:
% 46.89/16.15  																																								| (865) e1 = e0
% 46.89/16.15  																																								|
% 46.89/16.15  																																								| Equations (865) can reduce 264 to:
% 46.89/16.15  																																								| (311) $false
% 46.89/16.15  																																								|
% 46.89/16.15  																																								|-The branch is then unsatisfiable
% 46.89/16.15  																																							|-Branch two:
% 46.89/16.15  																																							| (2095)  ~ (all_0_96_96 = e0)
% 46.89/16.15  																																							| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.15  																																							|
% 46.89/16.15  																																								+-Applying beta-rule and splitting (2096), into two cases.
% 46.89/16.15  																																								|-Branch one:
% 46.89/16.15  																																								| (560) all_0_97_97 = e0
% 46.89/16.15  																																								|
% 46.89/16.15  																																									| Equations (560) can reduce 486 to:
% 46.89/16.15  																																									| (859)  ~ (e1 = e0)
% 46.89/16.15  																																									|
% 46.89/16.15  																																									| Simplifying 859 yields:
% 46.89/16.15  																																									| (264)  ~ (e1 = e0)
% 46.89/16.15  																																									|
% 46.89/16.15  																																									+-Applying beta-rule and splitting (1400), into two cases.
% 46.89/16.15  																																									|-Branch one:
% 46.89/16.15  																																									| (1456) all_0_91_91 = e0
% 46.89/16.15  																																									|
% 46.89/16.15  																																										| Equations (1456) can reduce 959 to:
% 46.89/16.15  																																										| (859)  ~ (e1 = e0)
% 46.89/16.15  																																										|
% 46.89/16.15  																																										| Simplifying 859 yields:
% 46.89/16.15  																																										| (264)  ~ (e1 = e0)
% 46.89/16.15  																																										|
% 46.89/16.15  																																										+-Applying beta-rule and splitting (1526), into two cases.
% 46.89/16.15  																																										|-Branch one:
% 46.89/16.15  																																										| (801) all_0_91_91 = e1
% 46.89/16.15  																																										|
% 46.89/16.15  																																											| Combining equations (1456,801) yields a new equation:
% 46.89/16.15  																																											| (865) e1 = e0
% 46.89/16.15  																																											|
% 46.89/16.15  																																											| Equations (865) can reduce 264 to:
% 46.89/16.15  																																											| (311) $false
% 46.89/16.15  																																											|
% 46.89/16.15  																																											|-The branch is then unsatisfiable
% 46.89/16.15  																																										|-Branch two:
% 46.89/16.15  																																										| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.15  																																										| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.89/16.15  																																										|
% 46.89/16.15  																																											+-Applying beta-rule and splitting (1556), into two cases.
% 46.89/16.15  																																											|-Branch one:
% 46.89/16.15  																																											| (836) all_0_92_92 = e1
% 46.89/16.15  																																											|
% 46.89/16.15  																																												| Equations (836) can reduce 840 to:
% 46.89/16.15  																																												| (311) $false
% 46.89/16.15  																																												|
% 46.89/16.15  																																												|-The branch is then unsatisfiable
% 46.89/16.15  																																											|-Branch two:
% 46.89/16.15  																																											| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.15  																																											| (566) all_0_93_93 = e1
% 46.89/16.15  																																											|
% 46.89/16.15  																																												| Combining equations (522,566) yields a new equation:
% 46.89/16.15  																																												| (408) e2 = e1
% 46.89/16.15  																																												|
% 46.89/16.15  																																												| Simplifying 408 yields:
% 46.89/16.15  																																												| (385) e2 = e1
% 46.89/16.15  																																												|
% 46.89/16.15  																																												| Equations (385) can reduce 243 to:
% 46.89/16.15  																																												| (311) $false
% 46.89/16.15  																																												|
% 46.89/16.15  																																												|-The branch is then unsatisfiable
% 46.89/16.15  																																									|-Branch two:
% 46.89/16.15  																																									| (1487)  ~ (all_0_91_91 = e0)
% 46.89/16.15  																																									| (1837) all_0_96_96 = e0
% 46.89/16.15  																																									|
% 46.89/16.15  																																										| Combining equations (960,1837) yields a new equation:
% 46.89/16.15  																																										| (1107) e1 = e0
% 46.89/16.15  																																										|
% 46.89/16.15  																																										| Simplifying 1107 yields:
% 46.89/16.15  																																										| (865) e1 = e0
% 46.89/16.15  																																										|
% 46.89/16.15  																																										| Equations (865) can reduce 264 to:
% 46.89/16.15  																																										| (311) $false
% 46.89/16.15  																																										|
% 46.89/16.15  																																										|-The branch is then unsatisfiable
% 46.89/16.15  																																								|-Branch two:
% 46.89/16.15  																																								| (609)  ~ (all_0_97_97 = e0)
% 46.89/16.15  																																								| (1121) all_0_98_98 = e0
% 46.89/16.15  																																								|
% 46.89/16.15  																																									| Equations (1121) can reduce 2059 to:
% 46.89/16.15  																																									| (311) $false
% 46.89/16.15  																																									|
% 46.89/16.15  																																									|-The branch is then unsatisfiable
% 46.89/16.15  																																					|-Branch two:
% 46.89/16.15  																																					| (800)  ~ (all_0_85_85 = e0)
% 46.89/16.15  																																					| (493) all_0_85_85 = e4
% 46.89/16.15  																																					|
% 46.89/16.15  																																						| Equations (493) can reduce 648 to:
% 46.89/16.15  																																						| (311) $false
% 46.89/16.15  																																						|
% 46.89/16.15  																																						|-The branch is then unsatisfiable
% 46.89/16.15  																																		|-Branch two:
% 46.89/16.15  																																		| (1479)  ~ (all_0_96_96 = e1)
% 46.89/16.15  																																		| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 46.89/16.15  																																		|
% 46.89/16.15  																																			+-Applying beta-rule and splitting (2126), into two cases.
% 46.89/16.15  																																			|-Branch one:
% 46.89/16.15  																																			| (542) all_0_97_97 = e1
% 46.89/16.15  																																			|
% 46.89/16.15  																																				| Equations (542) can reduce 486 to:
% 46.89/16.15  																																				| (311) $false
% 46.89/16.15  																																				|
% 46.89/16.15  																																				|-The branch is then unsatisfiable
% 46.89/16.15  																																			|-Branch two:
% 46.89/16.15  																																			| (486)  ~ (all_0_97_97 = e1)
% 46.89/16.15  																																			| (1543) all_0_98_98 = e1
% 46.89/16.15  																																			|
% 46.89/16.15  																																				| Equations (1543) can reduce 1804 to:
% 46.89/16.15  																																				| (311) $false
% 46.89/16.15  																																				|
% 46.89/16.15  																																				|-The branch is then unsatisfiable
% 46.89/16.15  																																|-Branch two:
% 46.89/16.15  																																| (793)  ~ (all_0_82_82 = e3)
% 46.89/16.15  																																| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 46.89/16.15  																																|
% 46.89/16.15  																																	+-Applying beta-rule and splitting (249), into two cases.
% 46.89/16.15  																																	|-Branch one:
% 46.89/16.15  																																	| (910) all_0_82_82 = e0
% 46.89/16.15  																																	|
% 46.89/16.15  																																		| Equations (910) can reduce 914 to:
% 46.89/16.15  																																		| (311) $false
% 46.89/16.15  																																		|
% 46.89/16.15  																																		|-The branch is then unsatisfiable
% 46.89/16.15  																																	|-Branch two:
% 46.89/16.15  																																	| (914)  ~ (all_0_82_82 = e0)
% 46.89/16.15  																																	| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 46.89/16.15  																																	|
% 46.89/16.15  																																		+-Applying beta-rule and splitting (1309), into two cases.
% 46.89/16.15  																																		|-Branch one:
% 46.89/16.15  																																		| (798) all_0_83_83 = e0
% 46.89/16.15  																																		|
% 46.89/16.15  																																			| Combining equations (453,798) yields a new equation:
% 46.89/16.15  																																			| (923) e2 = e0
% 46.89/16.15  																																			|
% 46.89/16.15  																																			| Simplifying 923 yields:
% 46.89/16.15  																																			| (379) e2 = e0
% 46.89/16.15  																																			|
% 46.89/16.15  																																			| Equations (379) can reduce 76 to:
% 46.89/16.15  																																			| (311) $false
% 46.89/16.15  																																			|
% 46.89/16.15  																																			|-The branch is then unsatisfiable
% 46.89/16.15  																																		|-Branch two:
% 46.89/16.15  																																		| (1314)  ~ (all_0_83_83 = e0)
% 46.89/16.15  																																		| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 46.89/16.15  																																		|
% 46.89/16.15  																																			+-Applying beta-rule and splitting (1315), into two cases.
% 46.89/16.15  																																			|-Branch one:
% 46.89/16.15  																																			| (916) all_0_84_84 = e0
% 46.89/16.15  																																			|
% 46.89/16.15  																																				| Combining equations (438,916) yields a new equation:
% 46.89/16.15  																																				| (911) e4 = e0
% 46.89/16.15  																																				|
% 46.89/16.15  																																				| Simplifying 911 yields:
% 46.89/16.15  																																				| (912) e4 = e0
% 46.89/16.15  																																				|
% 46.89/16.15  																																				| Equations (912) can reduce 23 to:
% 46.89/16.15  																																				| (311) $false
% 46.89/16.15  																																				|
% 46.89/16.15  																																				|-The branch is then unsatisfiable
% 46.89/16.15  																																			|-Branch two:
% 46.89/16.15  																																			| (919)  ~ (all_0_84_84 = e0)
% 46.89/16.15  																																			| (954) all_0_85_85 = e0
% 46.89/16.15  																																			|
% 46.89/16.15  																																				| Equations (954) can reduce 209 to:
% 46.89/16.15  																																				| (914)  ~ (all_0_82_82 = e0)
% 46.89/16.15  																																				|
% 46.89/16.15  																																				+-Applying beta-rule and splitting (2706), into two cases.
% 46.89/16.15  																																				|-Branch one:
% 46.89/16.15  																																				| (910) all_0_82_82 = e0
% 46.89/16.15  																																				|
% 46.89/16.15  																																					| Equations (910) can reduce 914 to:
% 46.89/16.15  																																					| (311) $false
% 46.89/16.15  																																					|
% 46.89/16.15  																																					|-The branch is then unsatisfiable
% 46.89/16.15  																																				|-Branch two:
% 46.89/16.15  																																				| (914)  ~ (all_0_82_82 = e0)
% 46.89/16.15  																																				| (469) all_0_82_82 = e4
% 46.89/16.15  																																				|
% 46.89/16.15  																																					| Equations (469) can reduce 465 to:
% 46.89/16.15  																																					| (311) $false
% 46.89/16.15  																																					|
% 46.89/16.15  																																					|-The branch is then unsatisfiable
% 46.89/16.15  																										|-Branch two:
% 46.89/16.15  																										| (417)  ~ (all_0_84_84 = e4)
% 46.89/16.15  																										| (493) all_0_85_85 = e4
% 46.89/16.15  																										|
% 46.89/16.15  																											| Equations (493) can reduce 648 to:
% 46.89/16.15  																											| (311) $false
% 46.89/16.15  																											|
% 46.89/16.15  																											|-The branch is then unsatisfiable
% 46.89/16.15  																						|-Branch two:
% 46.89/16.15  																						| (828)  ~ (all_0_80_80 = e1)
% 46.89/16.15  																						| (477) all_0_81_81 = e1
% 46.89/16.15  																						|
% 46.89/16.15  																							| Equations (477) can reduce 628 to:
% 46.89/16.15  																							| (311) $false
% 46.89/16.15  																							|
% 46.89/16.15  																							|-The branch is then unsatisfiable
% 46.89/16.15  																|-Branch two:
% 46.89/16.15  																| (300)  ~ (all_0_93_93 = e2)
% 46.89/16.15  																| (525) all_0_98_98 = e2
% 46.89/16.15  																|
% 46.89/16.15  																	| Equations (525) can reduce 1349 to:
% 46.89/16.15  																	| (311) $false
% 46.89/16.15  																	|
% 46.89/16.15  																	|-The branch is then unsatisfiable
% 46.89/16.15  												|-Branch two:
% 46.89/16.15  												| (398)  ~ (all_0_83_83 = e2)
% 46.89/16.15  												| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 46.89/16.15  												|
% 46.89/16.15  													+-Applying beta-rule and splitting (533), into two cases.
% 46.89/16.15  													|-Branch one:
% 46.89/16.15  													| (453) all_0_83_83 = e2
% 46.89/16.15  													|
% 46.89/16.15  														| Equations (453) can reduce 398 to:
% 46.89/16.15  														| (311) $false
% 46.89/16.15  														|
% 46.89/16.15  														|-The branch is then unsatisfiable
% 46.89/16.15  													|-Branch two:
% 46.89/16.15  													| (398)  ~ (all_0_83_83 = e2)
% 46.89/16.15  													| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 46.89/16.15  													|
% 46.89/16.15  														+-Applying beta-rule and splitting (1627), into two cases.
% 46.89/16.15  														|-Branch one:
% 46.89/16.15  														| (453) all_0_83_83 = e2
% 46.89/16.15  														|
% 46.89/16.15  															| Equations (453) can reduce 398 to:
% 46.89/16.15  															| (311) $false
% 46.89/16.15  															|
% 46.89/16.15  															|-The branch is then unsatisfiable
% 46.89/16.15  														|-Branch two:
% 46.89/16.15  														| (398)  ~ (all_0_83_83 = e2)
% 46.89/16.15  														| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 46.89/16.15  														|
% 46.89/16.15  															+-Applying beta-rule and splitting (537), into two cases.
% 46.89/16.15  															|-Branch one:
% 46.89/16.15  															| (552) all_0_84_84 = e2
% 46.89/16.15  															|
% 46.89/16.15  																| Equations (552) can reduce 612 to:
% 46.89/16.15  																| (311) $false
% 46.89/16.15  																|
% 46.89/16.15  																|-The branch is then unsatisfiable
% 46.89/16.15  															|-Branch two:
% 46.89/16.15  															| (612)  ~ (all_0_84_84 = e2)
% 46.89/16.15  															| (512) all_0_85_85 = e2
% 46.89/16.15  															|
% 46.89/16.15  																| Equations (512) can reduce 118 to:
% 46.89/16.15  																| (396)  ~ (all_0_81_81 = e2)
% 46.89/16.15  																|
% 46.89/16.15  																| Equations (512) can reduce 209 to:
% 46.89/16.15  																| (347)  ~ (all_0_82_82 = e2)
% 46.89/16.15  																|
% 46.89/16.15  																| Equations (512) can reduce 75 to:
% 46.89/16.15  																| (1348)  ~ (all_0_98_98 = e2)
% 46.89/16.15  																|
% 46.89/16.15  																| Simplifying 1348 yields:
% 46.89/16.15  																| (1349)  ~ (all_0_98_98 = e2)
% 46.89/16.15  																|
% 46.89/16.15  																| Equations (512) can reduce 128 to:
% 46.89/16.15  																| (243)  ~ (e2 = e1)
% 46.89/16.15  																|
% 46.89/16.15  																| From (512) and (12) follows:
% 46.89/16.15  																| (37212) op(e2, e3) = all_0_13_13
% 46.89/16.15  																|
% 46.89/16.15  																| From (512) and (96) follows:
% 46.89/16.15  																| (37213) op(e2, e0) = all_0_14_14
% 46.89/16.15  																|
% 46.89/16.15  																| From (512) and (197) follows:
% 46.89/16.15  																| (37214) op(e3, e2) = all_0_72_72
% 46.89/16.15  																|
% 46.89/16.16  																+-Applying beta-rule and splitting (8061), into two cases.
% 46.89/16.16  																|-Branch one:
% 46.89/16.16  																| (1723) all_0_91_91 = e2
% 46.89/16.16  																|
% 46.89/16.16  																	| Equations (1723) can reduce 17 to:
% 46.89/16.16  																	| (1622)  ~ (all_0_79_79 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 146 to:
% 46.89/16.16  																	| (398)  ~ (all_0_83_83 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 103 to:
% 46.89/16.16  																	| (294)  ~ (all_0_90_90 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 265 to:
% 46.89/16.16  																	| (297)  ~ (all_0_92_92 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Simplifying 297 yields:
% 46.89/16.16  																	| (298)  ~ (all_0_92_92 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 44 to:
% 46.89/16.16  																	| (299)  ~ (all_0_93_93 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Simplifying 299 yields:
% 46.89/16.16  																	| (300)  ~ (all_0_93_93 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 64 to:
% 46.89/16.16  																	| (1637)  ~ (all_0_96_96 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Simplifying 1637 yields:
% 46.89/16.16  																	| (1638)  ~ (all_0_96_96 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Equations (1723) can reduce 133 to:
% 46.89/16.16  																	| (528)  ~ (e4 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| Simplifying 528 yields:
% 46.89/16.16  																	| (79)  ~ (e4 = e2)
% 46.89/16.16  																	|
% 46.89/16.16  																	| From (1723) and (120) follows:
% 46.89/16.16  																	| (37227) op(e2, e2) = all_0_26_26
% 46.89/16.16  																	|
% 46.89/16.16  																	| From (1723) and (224) follows:
% 46.89/16.16  																	| (37228) op(e2, e1) = all_0_25_25
% 46.89/16.16  																	|
% 46.89/16.16  																	| From (1723) and (222) follows:
% 46.89/16.16  																	| (37229) op(e2, e2) = all_0_56_56
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e3, e2, all_0_72_72, all_0_83_83 and discharging atoms op(e3, e2) = all_0_72_72, op(e3, e2) = all_0_83_83, yields:
% 46.89/16.16  																	| (37230) all_0_72_72 = all_0_83_83
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e2, e3, all_0_13_13, e0 and discharging atoms op(e2, e3) = all_0_13_13, op(e2, e3) = e0, yields:
% 46.89/16.16  																	| (37231) all_0_13_13 = e0
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e2, e2, all_0_26_26, e4 and discharging atoms op(e2, e2) = all_0_26_26, op(e2, e2) = e4, yields:
% 46.89/16.16  																	| (37232) all_0_26_26 = e4
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e2, e2, all_0_56_56, all_0_26_26 and discharging atoms op(e2, e2) = all_0_26_26, op(e2, e2) = all_0_56_56, yields:
% 46.89/16.16  																	| (37233) all_0_26_26 = all_0_56_56
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e2, e1, all_0_25_25, e2 and discharging atoms op(e2, e1) = all_0_25_25, op(e2, e1) = e2, yields:
% 46.89/16.16  																	| (37234) all_0_25_25 = e2
% 46.89/16.16  																	|
% 46.89/16.16  																	| Instantiating formula (262) with e2, e0, all_0_14_14, e1 and discharging atoms op(e2, e0) = all_0_14_14, op(e2, e0) = e1, yields:
% 46.89/16.16  																	| (37235) all_0_14_14 = e1
% 46.89/16.16  																	|
% 46.89/16.17  																	| Combining equations (37232,37233) yields a new equation:
% 46.89/16.17  																	| (37236) all_0_56_56 = e4
% 46.89/16.17  																	|
% 46.89/16.17  																	| From (37231) and (37212) follows:
% 46.89/16.17  																	| (5343) op(e2, e3) = e0
% 46.89/16.17  																	|
% 46.89/16.17  																	| From (37234) and (37228) follows:
% 46.89/16.17  																	| (9530) op(e2, e1) = e2
% 46.89/16.17  																	|
% 46.89/16.17  																	| From (37235) and (37213) follows:
% 46.89/16.17  																	| (2305) op(e2, e0) = e1
% 46.89/16.17  																	|
% 46.89/16.17  																	+-Applying beta-rule and splitting (219), into two cases.
% 46.89/16.17  																	|-Branch one:
% 46.89/16.17  																	| (798) all_0_83_83 = e0
% 46.89/16.17  																	|
% 46.89/16.17  																		| Combining equations (798,37230) yields a new equation:
% 46.89/16.17  																		| (10076) all_0_72_72 = e0
% 46.89/16.17  																		|
% 46.89/16.17  																		| Equations (798) can reduce 272 to:
% 46.89/16.17  																		| (9)  ~ (all_0_79_79 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Equations (798) can reduce 116 to:
% 46.89/16.17  																		| (914)  ~ (all_0_82_82 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Equations (798) can reduce 223 to:
% 46.89/16.17  																		| (2207)  ~ (all_0_84_84 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Simplifying 2207 yields:
% 46.89/16.17  																		| (919)  ~ (all_0_84_84 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Equations (798) can reduce 211 to:
% 46.89/16.17  																		| (2296)  ~ (all_0_96_96 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Simplifying 2296 yields:
% 46.89/16.17  																		| (2095)  ~ (all_0_96_96 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Equations (798) can reduce 398 to:
% 46.89/16.17  																		| (510)  ~ (e2 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| Simplifying 510 yields:
% 46.89/16.17  																		| (76)  ~ (e2 = e0)
% 46.89/16.17  																		|
% 46.89/16.17  																		| From (798) and (29) follows:
% 46.89/16.17  																		| (22881) op(e0, e3) = all_0_9_9
% 46.89/16.17  																		|
% 46.89/16.17  																		| From (798) and (206) follows:
% 46.89/16.17  																		| (8092) op(e2, e0) = all_0_54_54
% 46.89/16.17  																		|
% 46.89/16.17  																		| Instantiating formula (262) with e2, e0, all_0_54_54, e1 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e1, yields:
% 46.89/16.17  																		| (11306) all_0_54_54 = e1
% 46.89/16.17  																		|
% 46.89/16.17  																		| Instantiating formula (262) with e0, e3, all_0_9_9, all_0_95_95 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_95_95, yields:
% 46.89/16.17  																		| (22915) all_0_9_9 = all_0_95_95
% 46.89/16.17  																		|
% 46.89/16.17  																		| From (22915) and (22881) follows:
% 46.89/16.18  																		| (275) op(e0, e3) = all_0_95_95
% 46.89/16.18  																		|
% 46.89/16.18  																		+-Applying beta-rule and splitting (127), into two cases.
% 46.89/16.18  																		|-Branch one:
% 46.89/16.18  																		| (457) all_0_79_79 = e1
% 46.89/16.18  																		|
% 46.89/16.18  																			| Equations (457) can reduce 63 to:
% 46.89/16.18  																			| (1665)  ~ (all_0_80_80 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Simplifying 1665 yields:
% 46.89/16.18  																			| (828)  ~ (all_0_80_80 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Equations (457) can reduce 15 to:
% 46.89/16.18  																			| (1667)  ~ (all_0_81_81 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Simplifying 1667 yields:
% 46.89/16.18  																			| (628)  ~ (all_0_81_81 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Equations (457) can reduce 214 to:
% 46.89/16.18  																			| (1671)  ~ (all_0_96_96 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Simplifying 1671 yields:
% 46.89/16.18  																			| (1479)  ~ (all_0_96_96 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Equations (457) can reduce 1622 to:
% 46.89/16.18  																			| (487)  ~ (e2 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Simplifying 487 yields:
% 46.89/16.18  																			| (243)  ~ (e2 = e1)
% 46.89/16.18  																			|
% 46.89/16.18  																			| Equations (457) can reduce 9 to:
% 46.89/16.18  																			| (264)  ~ (e1 = e0)
% 46.89/16.18  																			|
% 46.89/16.18  																			+-Applying beta-rule and splitting (84), into two cases.
% 46.89/16.18  																			|-Branch one:
% 46.89/16.18  																			| (1704) all_0_96_96 = e2
% 46.89/16.18  																			|
% 46.89/16.18  																				| Equations (1704) can reduce 1638 to:
% 46.89/16.18  																				| (311) $false
% 46.89/16.18  																				|
% 46.89/16.18  																				|-The branch is then unsatisfiable
% 46.89/16.18  																			|-Branch two:
% 46.89/16.18  																			| (1638)  ~ (all_0_96_96 = e2)
% 46.89/16.18  																			| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 46.89/16.18  																			|
% 46.89/16.18  																				+-Applying beta-rule and splitting (1707), into two cases.
% 46.89/16.18  																				|-Branch one:
% 46.89/16.18  																				| (960) all_0_96_96 = e1
% 46.89/16.18  																				|
% 46.89/16.18  																					| Equations (960) can reduce 1479 to:
% 46.89/16.18  																					| (311) $false
% 46.89/16.18  																					|
% 46.89/16.18  																					|-The branch is then unsatisfiable
% 46.89/16.18  																				|-Branch two:
% 46.89/16.18  																				| (1479)  ~ (all_0_96_96 = e1)
% 46.89/16.18  																				| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 46.89/16.18  																				|
% 46.89/16.18  																					+-Applying beta-rule and splitting (2016), into two cases.
% 46.89/16.18  																					|-Branch one:
% 46.89/16.18  																					| (778) all_0_96_96 = e3
% 46.89/16.18  																					|
% 46.89/16.18  																						| Equations (778) can reduce 279 to:
% 46.89/16.18  																						| (765)  ~ (all_0_95_95 = e3)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Equations (778) can reduce 43 to:
% 46.89/16.18  																						| (1518)  ~ (all_0_98_98 = e3)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Simplifying 1518 yields:
% 46.89/16.18  																						| (1519)  ~ (all_0_98_98 = e3)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Equations (778) can reduce 115 to:
% 46.89/16.18  																						| (783)  ~ (e4 = e3)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Simplifying 783 yields:
% 46.89/16.18  																						| (177)  ~ (e4 = e3)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Equations (778) can reduce 1638 to:
% 46.89/16.18  																						| (169)  ~ (e3 = e2)
% 46.89/16.18  																						|
% 46.89/16.18  																						| Equations (778) can reduce 1479 to:
% 46.89/16.18  																						| (20)  ~ (e3 = e1)
% 46.89/16.18  																						|
% 46.89/16.18  																						| From (778) and (268) follows:
% 46.89/16.18  																						| (10600) op(e0, e3) = all_0_59_59
% 46.89/16.18  																						|
% 46.89/16.18  																						| Instantiating formula (262) with e0, e3, all_0_59_59, all_0_95_95 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_95_95, yields:
% 46.89/16.18  																						| (34753) all_0_59_59 = all_0_95_95
% 46.89/16.18  																						|
% 46.89/16.18  																						| From (34753) and (10600) follows:
% 46.89/16.18  																						| (275) op(e0, e3) = all_0_95_95
% 46.89/16.18  																						|
% 46.89/16.18  																						+-Applying beta-rule and splitting (109), into two cases.
% 46.89/16.18  																						|-Branch one:
% 46.89/16.18  																						| (469) all_0_82_82 = e4
% 46.89/16.18  																						|
% 46.89/16.18  																							| Equations (469) can reduce 7 to:
% 46.89/16.18  																							| (662)  ~ (all_0_84_84 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Simplifying 662 yields:
% 46.89/16.18  																							| (417)  ~ (all_0_84_84 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Equations (469) can reduce 255 to:
% 46.89/16.18  																							| (466)  ~ (all_0_90_90 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Simplifying 466 yields:
% 46.89/16.18  																							| (467)  ~ (all_0_90_90 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Equations (469) can reduce 200 to:
% 46.89/16.18  																							| (314)  ~ (all_0_95_95 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Simplifying 314 yields:
% 46.89/16.18  																							| (315)  ~ (all_0_95_95 = e4)
% 46.89/16.18  																							|
% 46.89/16.18  																							| Equations (469) can reduce 914 to:
% 46.89/16.18  																							| (23)  ~ (e4 = e0)
% 46.89/16.18  																							|
% 46.89/16.18  																							+-Applying beta-rule and splitting (99), into two cases.
% 46.89/16.18  																							|-Branch one:
% 46.89/16.18  																							| (767) all_0_95_95 = e2
% 46.89/16.18  																							|
% 46.89/16.18  																								| Equations (767) can reduce 355 to:
% 46.89/16.18  																								| (311) $false
% 46.89/16.18  																								|
% 46.89/16.18  																								|-The branch is then unsatisfiable
% 46.89/16.18  																							|-Branch two:
% 46.89/16.18  																							| (355)  ~ (all_0_95_95 = e2)
% 46.89/16.18  																							| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 46.89/16.18  																							|
% 46.89/16.18  																								+-Applying beta-rule and splitting (770), into two cases.
% 46.89/16.18  																								|-Branch one:
% 46.89/16.18  																								| (785) all_0_95_95 = e1
% 46.89/16.18  																								|
% 46.89/16.18  																									| Equations (785) can reduce 229 to:
% 46.89/16.18  																									| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Equations (785) can reduce 107 to:
% 46.89/16.18  																									| (1803)  ~ (all_0_98_98 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Simplifying 1803 yields:
% 46.89/16.18  																									| (1804)  ~ (all_0_98_98 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Equations (785) can reduce 765 to:
% 46.89/16.18  																									| (683)  ~ (e3 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Simplifying 683 yields:
% 46.89/16.18  																									| (20)  ~ (e3 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Equations (785) can reduce 355 to:
% 46.89/16.18  																									| (487)  ~ (e2 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Simplifying 487 yields:
% 46.89/16.18  																									| (243)  ~ (e2 = e1)
% 46.89/16.18  																									|
% 46.89/16.18  																									| Equations (785) can reduce 893 to:
% 46.89/16.18  																									| (264)  ~ (e1 = e0)
% 46.89/16.18  																									|
% 46.89/16.18  																									| From (785) and (275) follows:
% 46.89/16.18  																									| (1511) op(e0, e3) = e1
% 46.89/16.18  																									|
% 46.89/16.18  																									+-Applying beta-rule and splitting (132), into two cases.
% 46.89/16.18  																									|-Branch one:
% 46.89/16.18  																									| (750) all_0_90_90 = e1
% 46.89/16.18  																									|
% 46.89/16.18  																										| Equations (750) can reduce 678 to:
% 46.89/16.18  																										| (311) $false
% 46.89/16.18  																										|
% 46.89/16.18  																										|-The branch is then unsatisfiable
% 46.89/16.18  																									|-Branch two:
% 46.89/16.18  																									| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.18  																									| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 46.89/16.18  																									|
% 46.89/16.18  																										+-Applying beta-rule and splitting (27), into two cases.
% 46.89/16.18  																										|-Branch one:
% 46.89/16.18  																										| (746) all_0_90_90 = e2
% 46.89/16.18  																										|
% 46.89/16.18  																											| Equations (746) can reduce 294 to:
% 46.89/16.18  																											| (311) $false
% 46.89/16.18  																											|
% 46.89/16.18  																											|-The branch is then unsatisfiable
% 46.89/16.18  																										|-Branch two:
% 46.89/16.18  																										| (294)  ~ (all_0_90_90 = e2)
% 46.89/16.18  																										| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 46.89/16.18  																										|
% 46.89/16.18  																											+-Applying beta-rule and splitting (749), into two cases.
% 46.89/16.18  																											|-Branch one:
% 46.89/16.18  																											| (750) all_0_90_90 = e1
% 46.89/16.18  																											|
% 46.89/16.18  																												| Equations (750) can reduce 678 to:
% 46.89/16.18  																												| (311) $false
% 46.89/16.18  																												|
% 46.89/16.18  																												|-The branch is then unsatisfiable
% 46.89/16.18  																											|-Branch two:
% 46.89/16.18  																											| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.18  																											| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 46.89/16.18  																											|
% 46.89/16.18  																												+-Applying beta-rule and splitting (753), into two cases.
% 46.89/16.18  																												|-Branch one:
% 46.89/16.18  																												| (754) all_0_90_90 = e3
% 46.89/16.18  																												|
% 46.89/16.18  																													| Equations (754) can reduce 467 to:
% 46.89/16.18  																													| (783)  ~ (e4 = e3)
% 46.89/16.18  																													|
% 46.89/16.18  																													| Simplifying 783 yields:
% 46.89/16.18  																													| (177)  ~ (e4 = e3)
% 46.89/16.18  																													|
% 46.89/16.18  																													| Equations (754) can reduce 294 to:
% 46.89/16.18  																													| (169)  ~ (e3 = e2)
% 46.89/16.18  																													|
% 46.89/16.18  																													| Equations (754) can reduce 678 to:
% 46.89/16.18  																													| (20)  ~ (e3 = e1)
% 46.89/16.18  																													|
% 46.89/16.18  																													| Equations (754) can reduce 762 to:
% 46.89/16.18  																													| (50)  ~ (e3 = e0)
% 46.89/16.18  																													|
% 46.89/16.18  																													+-Applying beta-rule and splitting (1526), into two cases.
% 46.89/16.18  																													|-Branch one:
% 46.89/16.18  																													| (801) all_0_91_91 = e1
% 46.89/16.18  																													|
% 46.89/16.18  																														| Combining equations (1723,801) yields a new equation:
% 46.89/16.18  																														| (408) e2 = e1
% 46.89/16.18  																														|
% 46.89/16.18  																														| Simplifying 408 yields:
% 46.89/16.18  																														| (385) e2 = e1
% 46.89/16.18  																														|
% 46.89/16.18  																														| Equations (385) can reduce 243 to:
% 46.89/16.18  																														| (311) $false
% 46.89/16.18  																														|
% 46.89/16.18  																														|-The branch is then unsatisfiable
% 46.89/16.18  																													|-Branch two:
% 46.89/16.18  																													| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.18  																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 46.89/16.18  																													|
% 46.89/16.18  																														+-Applying beta-rule and splitting (250), into two cases.
% 46.89/16.18  																														|-Branch one:
% 46.89/16.18  																														| (635) all_0_81_81 = e3
% 46.89/16.18  																														|
% 46.89/16.18  																															| Equations (635) can reduce 144 to:
% 46.89/16.18  																															| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Equations (635) can reduce 277 to:
% 46.89/16.18  																															| (807)  ~ (all_0_93_93 = e3)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Simplifying 807 yields:
% 46.89/16.18  																															| (602)  ~ (all_0_93_93 = e3)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Equations (635) can reduce 5 to:
% 46.89/16.18  																															| (1518)  ~ (all_0_98_98 = e3)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Simplifying 1518 yields:
% 46.89/16.18  																															| (1519)  ~ (all_0_98_98 = e3)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Equations (635) can reduce 396 to:
% 46.89/16.18  																															| (169)  ~ (e3 = e2)
% 46.89/16.18  																															|
% 46.89/16.18  																															| Equations (635) can reduce 257 to:
% 46.89/16.18  																															| (50)  ~ (e3 = e0)
% 46.89/16.18  																															|
% 46.89/16.18  																															| From (635) and (145) follows:
% 46.89/16.18  																															| (2368) op(e0, e3) = all_0_69_69
% 46.89/16.18  																															|
% 46.89/16.18  																															+-Applying beta-rule and splitting (171), into two cases.
% 46.89/16.18  																															|-Branch one:
% 46.89/16.18  																															| (789) all_0_82_82 = e3
% 46.89/16.18  																															|
% 46.89/16.18  																																| Combining equations (469,789) yields a new equation:
% 46.89/16.18  																																| (790) e4 = e3
% 46.89/16.18  																																|
% 46.89/16.18  																																| Simplifying 790 yields:
% 46.89/16.18  																																| (434) e4 = e3
% 46.89/16.18  																																|
% 46.89/16.18  																																| Equations (434) can reduce 177 to:
% 46.89/16.18  																																| (311) $false
% 46.89/16.18  																																|
% 46.89/16.18  																																|-The branch is then unsatisfiable
% 46.89/16.18  																															|-Branch two:
% 46.89/16.18  																															| (793)  ~ (all_0_82_82 = e3)
% 46.89/16.18  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.89/16.18  																															|
% 46.89/16.18  																																+-Applying beta-rule and splitting (65), into two cases.
% 46.89/16.18  																																|-Branch one:
% 46.89/16.18  																																| (522) all_0_93_93 = e2
% 46.89/16.18  																																|
% 46.89/16.18  																																	| Equations (522) can reduce 300 to:
% 46.89/16.18  																																	| (311) $false
% 46.89/16.18  																																	|
% 46.89/16.18  																																	|-The branch is then unsatisfiable
% 46.89/16.18  																																|-Branch two:
% 46.89/16.18  																																| (300)  ~ (all_0_93_93 = e2)
% 46.89/16.18  																																| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 46.89/16.18  																																|
% 46.89/16.18  																																	+-Applying beta-rule and splitting (45), into two cases.
% 46.89/16.18  																																	|-Branch one:
% 46.89/16.18  																																	| (546) all_0_80_80 = e2
% 46.89/16.18  																																	|
% 46.89/16.18  																																		| Equations (546) can reduce 394 to:
% 46.89/16.18  																																		| (311) $false
% 46.89/16.18  																																		|
% 46.89/16.18  																																		|-The branch is then unsatisfiable
% 46.89/16.18  																																	|-Branch two:
% 46.89/16.18  																																	| (394)  ~ (all_0_80_80 = e2)
% 46.89/16.18  																																	| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 46.89/16.18  																																	|
% 46.89/16.18  																																		+-Applying beta-rule and splitting (565), into two cases.
% 46.89/16.18  																																		|-Branch one:
% 46.89/16.18  																																		| (566) all_0_93_93 = e1
% 46.89/16.18  																																		|
% 46.89/16.18  																																			| Equations (566) can reduce 481 to:
% 46.89/16.18  																																			| (311) $false
% 46.89/16.18  																																			|
% 46.89/16.18  																																			|-The branch is then unsatisfiable
% 46.89/16.18  																																		|-Branch two:
% 46.89/16.18  																																		| (481)  ~ (all_0_93_93 = e1)
% 46.89/16.18  																																		| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 46.89/16.18  																																		|
% 46.89/16.18  																																			+-Applying beta-rule and splitting (207), into two cases.
% 46.89/16.18  																																			|-Branch one:
% 46.89/16.18  																																			| (416) all_0_80_80 = e3
% 46.89/16.18  																																			|
% 46.89/16.18  																																				| Equations (416) can reduce 2347 to:
% 46.89/16.18  																																				| (311) $false
% 46.89/16.18  																																				|
% 46.89/16.18  																																				|-The branch is then unsatisfiable
% 46.89/16.18  																																			|-Branch two:
% 46.89/16.18  																																			| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.18  																																			| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 46.89/16.18  																																			|
% 46.89/16.18  																																				+-Applying beta-rule and splitting (569), into two cases.
% 46.89/16.18  																																				|-Branch one:
% 46.89/16.18  																																				| (570) all_0_93_93 = e3
% 46.89/16.18  																																				|
% 46.89/16.18  																																					| Equations (570) can reduce 602 to:
% 46.89/16.18  																																					| (311) $false
% 46.89/16.18  																																					|
% 46.89/16.18  																																					|-The branch is then unsatisfiable
% 46.89/16.18  																																				|-Branch two:
% 46.89/16.18  																																				| (602)  ~ (all_0_93_93 = e3)
% 46.89/16.18  																																				| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 46.89/16.18  																																				|
% 46.89/16.18  																																					+-Applying beta-rule and splitting (1296), into two cases.
% 46.89/16.18  																																					|-Branch one:
% 46.89/16.18  																																					| (795) all_0_83_83 = e3
% 46.89/16.18  																																					|
% 46.89/16.18  																																						| Combining equations (798,795) yields a new equation:
% 46.89/16.18  																																						| (600) e3 = e0
% 46.89/16.18  																																						|
% 46.89/16.18  																																						| Equations (600) can reduce 50 to:
% 46.89/16.18  																																						| (311) $false
% 46.89/16.18  																																						|
% 46.89/16.18  																																						|-The branch is then unsatisfiable
% 46.89/16.18  																																					|-Branch two:
% 46.89/16.18  																																					| (779)  ~ (all_0_83_83 = e3)
% 46.89/16.18  																																					| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.89/16.18  																																					|
% 46.89/16.18  																																						+-Applying beta-rule and splitting (151), into two cases.
% 46.89/16.18  																																						|-Branch one:
% 46.89/16.18  																																						| (824) all_0_80_80 = e1
% 46.89/16.18  																																						|
% 46.89/16.18  																																							| Equations (824) can reduce 828 to:
% 46.89/16.18  																																							| (311) $false
% 46.89/16.18  																																							|
% 46.89/16.18  																																							|-The branch is then unsatisfiable
% 46.89/16.18  																																						|-Branch two:
% 46.89/16.18  																																						| (828)  ~ (all_0_80_80 = e1)
% 46.89/16.18  																																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.89/16.18  																																						|
% 46.89/16.18  																																							+-Applying beta-rule and splitting (603), into two cases.
% 46.89/16.18  																																							|-Branch one:
% 46.89/16.18  																																							| (604) all_0_93_93 = e0
% 46.89/16.18  																																							|
% 46.89/16.18  																																								| Equations (604) can reduce 13 to:
% 46.89/16.18  																																								| (2058)  ~ (all_0_98_98 = e0)
% 46.89/16.18  																																								|
% 46.89/16.18  																																								| Simplifying 2058 yields:
% 46.89/16.18  																																								| (2059)  ~ (all_0_98_98 = e0)
% 46.89/16.18  																																								|
% 46.89/16.18  																																								| Equations (604) can reduce 481 to:
% 46.89/16.18  																																								| (859)  ~ (e1 = e0)
% 46.89/16.18  																																								|
% 46.89/16.18  																																								| Simplifying 859 yields:
% 46.89/16.18  																																								| (264)  ~ (e1 = e0)
% 46.89/16.18  																																								|
% 46.89/16.18  																																								| From (604) and (30) follows:
% 46.89/16.18  																																								| (3922) op(e0, e0) = all_0_29_29
% 46.89/16.18  																																								|
% 46.89/16.18  																																								| From (604) and (173) follows:
% 46.89/16.18  																																								| (9825) op(e0, e0) = all_0_75_75
% 46.89/16.18  																																								|
% 46.89/16.18  																																								+-Applying beta-rule and splitting (2481), into two cases.
% 46.89/16.18  																																								|-Branch one:
% 46.89/16.18  																																								| (1265) all_0_84_84 = e3
% 46.89/16.18  																																								|
% 46.89/16.18  																																									| Equations (1265) can reduce 273 to:
% 46.89/16.18  																																									| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.18  																																									|
% 46.89/16.18  																																									| Equations (1265) can reduce 195 to:
% 46.89/16.18  																																									| (427)  ~ (all_0_97_97 = e3)
% 46.89/16.18  																																									|
% 46.89/16.18  																																									| Simplifying 427 yields:
% 46.89/16.18  																																									| (428)  ~ (all_0_97_97 = e3)
% 46.89/16.18  																																									|
% 46.89/16.18  																																									+-Applying beta-rule and splitting (102), into two cases.
% 46.89/16.18  																																									|-Branch one:
% 46.89/16.18  																																									| (858) all_0_95_95 = e0
% 46.89/16.18  																																									|
% 46.89/16.18  																																										| Combining equations (858,785) yields a new equation:
% 46.89/16.18  																																										| (865) e1 = e0
% 46.89/16.18  																																										|
% 46.89/16.18  																																										| Equations (865) can reduce 264 to:
% 46.89/16.18  																																										| (311) $false
% 46.89/16.18  																																										|
% 46.89/16.18  																																										|-The branch is then unsatisfiable
% 46.89/16.18  																																									|-Branch two:
% 46.89/16.18  																																									| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.18  																																									| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 46.89/16.18  																																									|
% 46.89/16.18  																																										| Equations (785) can reduce 893 to:
% 46.89/16.18  																																										| (264)  ~ (e1 = e0)
% 46.89/16.19  																																										|
% 46.89/16.19  																																										+-Applying beta-rule and splitting (3232), into two cases.
% 46.89/16.19  																																										|-Branch one:
% 46.89/16.19  																																										| (824) all_0_80_80 = e1
% 46.89/16.19  																																										|
% 46.89/16.19  																																											| Equations (824) can reduce 828 to:
% 46.89/16.19  																																											| (311) $false
% 46.89/16.19  																																											|
% 46.89/16.19  																																											|-The branch is then unsatisfiable
% 46.89/16.19  																																										|-Branch two:
% 46.89/16.19  																																										| (828)  ~ (all_0_80_80 = e1)
% 46.89/16.19  																																										| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 46.89/16.19  																																										|
% 46.89/16.19  																																											+-Applying beta-rule and splitting (4018), into two cases.
% 46.89/16.19  																																											|-Branch one:
% 46.89/16.19  																																											| (416) all_0_80_80 = e3
% 46.89/16.19  																																											|
% 46.89/16.19  																																												| Equations (416) can reduce 2347 to:
% 46.89/16.19  																																												| (311) $false
% 46.89/16.19  																																												|
% 46.89/16.19  																																												|-The branch is then unsatisfiable
% 46.89/16.19  																																											|-Branch two:
% 46.89/16.19  																																											| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.19  																																											| (433) all_0_80_80 = e4
% 46.89/16.19  																																											|
% 46.89/16.19  																																												| Equations (433) can reduce 49 to:
% 46.89/16.19  																																												| (1906)  ~ (all_0_92_92 = e4)
% 46.89/16.19  																																												|
% 46.89/16.19  																																												| Simplifying 1906 yields:
% 46.89/16.19  																																												| (1619)  ~ (all_0_92_92 = e4)
% 46.89/16.19  																																												|
% 46.89/16.19  																																												+-Applying beta-rule and splitting (48), into two cases.
% 46.89/16.19  																																												|-Branch one:
% 46.89/16.19  																																												| (525) all_0_98_98 = e2
% 46.89/16.19  																																												|
% 46.89/16.19  																																													| Equations (525) can reduce 1349 to:
% 46.89/16.19  																																													| (311) $false
% 46.89/16.19  																																													|
% 46.89/16.19  																																													|-The branch is then unsatisfiable
% 46.89/16.19  																																												|-Branch two:
% 46.89/16.19  																																												| (1349)  ~ (all_0_98_98 = e2)
% 46.89/16.19  																																												| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 46.89/16.19  																																												|
% 46.89/16.19  																																													+-Applying beta-rule and splitting (5118), into two cases.
% 46.89/16.19  																																													|-Branch one:
% 46.89/16.19  																																													| (1543) all_0_98_98 = e1
% 46.89/16.19  																																													|
% 46.89/16.19  																																														| Equations (1543) can reduce 1804 to:
% 46.89/16.19  																																														| (311) $false
% 46.89/16.19  																																														|
% 46.89/16.19  																																														|-The branch is then unsatisfiable
% 46.89/16.19  																																													|-Branch two:
% 46.89/16.19  																																													| (1804)  ~ (all_0_98_98 = e1)
% 46.89/16.19  																																													| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 46.89/16.19  																																													|
% 46.89/16.19  																																														+-Applying beta-rule and splitting (5122), into two cases.
% 46.89/16.19  																																														|-Branch one:
% 46.89/16.19  																																														| (969) all_0_98_98 = e3
% 46.89/16.19  																																														|
% 46.89/16.19  																																															| Equations (969) can reduce 1519 to:
% 46.89/16.19  																																															| (311) $false
% 46.89/16.19  																																															|
% 46.89/16.19  																																															|-The branch is then unsatisfiable
% 46.89/16.19  																																														|-Branch two:
% 46.89/16.19  																																														| (1519)  ~ (all_0_98_98 = e3)
% 46.89/16.19  																																														| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 46.89/16.19  																																														|
% 46.89/16.19  																																															+-Applying beta-rule and splitting (5284), into two cases.
% 46.89/16.19  																																															|-Branch one:
% 46.89/16.19  																																															| (1121) all_0_98_98 = e0
% 46.89/16.19  																																															|
% 46.89/16.19  																																																| Equations (1121) can reduce 2059 to:
% 46.89/16.19  																																																| (311) $false
% 46.89/16.19  																																																|
% 46.89/16.19  																																																|-The branch is then unsatisfiable
% 46.89/16.19  																																															|-Branch two:
% 46.89/16.19  																																															| (2059)  ~ (all_0_98_98 = e0)
% 46.89/16.19  																																															| (2650) all_0_98_98 = e4
% 46.89/16.19  																																															|
% 46.89/16.19  																																																| Equations (2650) can reduce 148 to:
% 46.89/16.19  																																																| (319)  ~ (all_0_97_97 = e4)
% 46.89/16.19  																																																|
% 46.89/16.19  																																																| From (2650) and (38) follows:
% 46.89/16.19  																																																| (37418) op(e0, e0) = e4
% 46.89/16.19  																																																|
% 46.89/16.19  																																																+-Applying beta-rule and splitting (1556), into two cases.
% 46.89/16.19  																																																|-Branch one:
% 46.89/16.19  																																																| (836) all_0_92_92 = e1
% 46.89/16.19  																																																|
% 46.89/16.19  																																																	| Equations (836) can reduce 258 to:
% 46.89/16.19  																																																	| (485)  ~ (all_0_97_97 = e1)
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																	| Simplifying 485 yields:
% 46.89/16.19  																																																	| (486)  ~ (all_0_97_97 = e1)
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																	| Equations (836) can reduce 1619 to:
% 46.89/16.19  																																																	| (681)  ~ (e4 = e1)
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																	| Simplifying 681 yields:
% 46.89/16.19  																																																	| (256)  ~ (e4 = e1)
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																	+-Applying beta-rule and splitting (112), into two cases.
% 46.89/16.19  																																																	|-Branch one:
% 46.89/16.19  																																																	| (538) all_0_97_97 = e2
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																		| Equations (538) can reduce 527 to:
% 46.89/16.19  																																																		| (311) $false
% 46.89/16.19  																																																		|
% 46.89/16.19  																																																		|-The branch is then unsatisfiable
% 46.89/16.19  																																																	|-Branch two:
% 46.89/16.19  																																																	| (527)  ~ (all_0_97_97 = e2)
% 46.89/16.19  																																																	| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 46.89/16.19  																																																	|
% 46.89/16.19  																																																		+-Applying beta-rule and splitting (541), into two cases.
% 46.89/16.19  																																																		|-Branch one:
% 46.89/16.19  																																																		| (542) all_0_97_97 = e1
% 46.89/16.19  																																																		|
% 46.89/16.19  																																																			| Equations (542) can reduce 486 to:
% 46.89/16.19  																																																			| (311) $false
% 46.89/16.19  																																																			|
% 46.89/16.19  																																																			|-The branch is then unsatisfiable
% 46.89/16.19  																																																		|-Branch two:
% 46.89/16.19  																																																		| (486)  ~ (all_0_97_97 = e1)
% 46.89/16.19  																																																		| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 46.89/16.19  																																																		|
% 46.89/16.19  																																																			+-Applying beta-rule and splitting (545), into two cases.
% 46.89/16.19  																																																			|-Branch one:
% 46.89/16.19  																																																			| (556) all_0_97_97 = e3
% 46.89/16.19  																																																			|
% 46.89/16.19  																																																				| Equations (556) can reduce 428 to:
% 46.89/16.19  																																																				| (311) $false
% 46.89/16.19  																																																				|
% 46.89/16.19  																																																				|-The branch is then unsatisfiable
% 46.89/16.19  																																																			|-Branch two:
% 46.89/16.19  																																																			| (428)  ~ (all_0_97_97 = e3)
% 46.89/16.19  																																																			| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 46.89/16.19  																																																			|
% 46.89/16.19  																																																				+-Applying beta-rule and splitting (559), into two cases.
% 46.89/16.19  																																																				|-Branch one:
% 46.89/16.19  																																																				| (560) all_0_97_97 = e0
% 46.89/16.19  																																																				|
% 46.89/16.19  																																																					| Combining equations (560,8321) yields a new equation:
% 46.89/16.19  																																																					| (19296) all_0_73_73 = e0
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Equations (560) can reduce 527 to:
% 46.89/16.19  																																																					| (510)  ~ (e2 = e0)
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Simplifying 510 yields:
% 46.89/16.19  																																																					| (76)  ~ (e2 = e0)
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| From (560) and (213) follows:
% 46.89/16.19  																																																					| (37440) op(e0, e0) = all_0_36_36
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Instantiating formula (262) with e0, e3, e1, all_0_69_69 and discharging atoms op(e0, e3) = all_0_69_69, op(e0, e3) = e1, yields:
% 46.89/16.19  																																																					| (26368) all_0_69_69 = e1
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Instantiating formula (262) with e0, e0, all_0_36_36, all_0_29_29 and discharging atoms op(e0, e0) = all_0_29_29, op(e0, e0) = all_0_36_36, yields:
% 46.89/16.19  																																																					| (37442) all_0_29_29 = all_0_36_36
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Instantiating formula (262) with e0, e0, all_0_75_75, all_0_29_29 and discharging atoms op(e0, e0) = all_0_29_29, op(e0, e0) = all_0_75_75, yields:
% 46.89/16.19  																																																					| (37443) all_0_29_29 = all_0_75_75
% 46.89/16.19  																																																					|
% 46.89/16.19  																																																					| Instantiating formula (262) with e0, e0, e4, all_0_29_29 and discharging atoms op(e0, e0) = all_0_29_29, op(e0, e0) = e4, yields:
% 46.89/16.19  																																																					| (37444) all_0_29_29 = e4
% 46.89/16.19  																																																					|
% 46.89/16.20  																																																					| Combining equations (37443,37442) yields a new equation:
% 46.89/16.20  																																																					| (37445) all_0_36_36 = all_0_75_75
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																					| Combining equations (37444,37442) yields a new equation:
% 46.89/16.20  																																																					| (23581) all_0_36_36 = e4
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																					| Combining equations (23581,37445) yields a new equation:
% 46.89/16.20  																																																					| (1966) all_0_75_75 = e4
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																					+-Applying beta-rule and splitting (89), into two cases.
% 46.89/16.20  																																																					|-Branch one:
% 46.89/16.20  																																																					| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																						+-Applying beta-rule and splitting (1373), into two cases.
% 46.89/16.20  																																																						|-Branch one:
% 46.89/16.20  																																																						| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																							+-Applying beta-rule and splitting (1374), into two cases.
% 46.89/16.20  																																																							|-Branch one:
% 46.89/16.20  																																																							| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.89/16.20  																																																							|
% 46.89/16.20  																																																								| Applying alpha-rule on (1375) yields:
% 46.89/16.20  																																																								| (1376) all_0_69_69 = e4
% 46.89/16.20  																																																								| (1377)  ~ (all_0_70_70 = e0)
% 46.89/16.20  																																																								|
% 46.89/16.20  																																																								| Combining equations (26368,1376) yields a new equation:
% 46.89/16.20  																																																								| (814) e4 = e1
% 46.89/16.20  																																																								|
% 46.89/16.20  																																																								| Equations (814) can reduce 256 to:
% 46.89/16.20  																																																								| (311) $false
% 46.89/16.20  																																																								|
% 46.89/16.20  																																																								|-The branch is then unsatisfiable
% 46.89/16.20  																																																							|-Branch two:
% 46.89/16.20  																																																							| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.89/16.20  																																																							|
% 46.89/16.20  																																																								| Applying alpha-rule on (1379) yields:
% 46.89/16.20  																																																								| (1380) all_0_71_71 = e3
% 46.89/16.20  																																																								| (1381)  ~ (all_0_72_72 = e0)
% 46.89/16.20  																																																								|
% 46.89/16.20  																																																								| Equations (10076) can reduce 1381 to:
% 46.89/16.20  																																																								| (311) $false
% 46.89/16.20  																																																								|
% 46.89/16.20  																																																								|-The branch is then unsatisfiable
% 46.89/16.20  																																																						|-Branch two:
% 46.89/16.20  																																																						| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																							| Applying alpha-rule on (1385) yields:
% 46.89/16.20  																																																							| (1386) all_0_73_73 = e2
% 46.89/16.20  																																																							| (1387)  ~ (all_0_74_74 = e0)
% 46.89/16.20  																																																							|
% 46.89/16.20  																																																							| Combining equations (19296,1386) yields a new equation:
% 46.89/16.20  																																																							| (379) e2 = e0
% 46.89/16.20  																																																							|
% 46.89/16.20  																																																							| Equations (379) can reduce 76 to:
% 46.89/16.20  																																																							| (311) $false
% 46.89/16.20  																																																							|
% 46.89/16.20  																																																							|-The branch is then unsatisfiable
% 46.89/16.20  																																																					|-Branch two:
% 46.89/16.20  																																																					| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																						| Applying alpha-rule on (1391) yields:
% 46.89/16.20  																																																						| (1392) all_0_75_75 = e1
% 46.89/16.20  																																																						| (1393)  ~ (all_0_76_76 = e0)
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																						| Combining equations (1966,1392) yields a new equation:
% 46.89/16.20  																																																						| (813) e4 = e1
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																						| Simplifying 813 yields:
% 46.89/16.20  																																																						| (814) e4 = e1
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																						| Equations (814) can reduce 256 to:
% 46.89/16.20  																																																						| (311) $false
% 46.89/16.20  																																																						|
% 46.89/16.20  																																																						|-The branch is then unsatisfiable
% 46.89/16.20  																																																				|-Branch two:
% 46.89/16.20  																																																				| (609)  ~ (all_0_97_97 = e0)
% 46.89/16.20  																																																				| (610) all_0_97_97 = e4
% 46.89/16.20  																																																				|
% 46.89/16.20  																																																					| Equations (610) can reduce 319 to:
% 46.89/16.20  																																																					| (311) $false
% 46.89/16.20  																																																					|
% 46.89/16.20  																																																					|-The branch is then unsatisfiable
% 46.89/16.21  																																																|-Branch two:
% 46.89/16.21  																																																| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.21  																																																| (566) all_0_93_93 = e1
% 46.89/16.21  																																																|
% 46.89/16.21  																																																	| Combining equations (566,604) yields a new equation:
% 46.89/16.21  																																																	| (1107) e1 = e0
% 46.89/16.21  																																																	|
% 46.89/16.21  																																																	| Simplifying 1107 yields:
% 46.89/16.21  																																																	| (865) e1 = e0
% 46.89/16.21  																																																	|
% 46.89/16.21  																																																	| Equations (865) can reduce 264 to:
% 46.89/16.21  																																																	| (311) $false
% 46.89/16.21  																																																	|
% 46.89/16.21  																																																	|-The branch is then unsatisfiable
% 46.89/16.21  																																								|-Branch two:
% 46.89/16.21  																																								| (422)  ~ (all_0_84_84 = e3)
% 46.89/16.21  																																								| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 46.89/16.21  																																								|
% 46.89/16.21  																																									+-Applying beta-rule and splitting (1594), into two cases.
% 46.89/16.21  																																									|-Branch one:
% 46.89/16.21  																																									| (1265) all_0_84_84 = e3
% 46.89/16.21  																																									|
% 46.89/16.21  																																										| Equations (1265) can reduce 422 to:
% 46.89/16.21  																																										| (311) $false
% 46.89/16.21  																																										|
% 46.89/16.21  																																										|-The branch is then unsatisfiable
% 46.89/16.21  																																									|-Branch two:
% 46.89/16.21  																																									| (422)  ~ (all_0_84_84 = e3)
% 46.89/16.21  																																									| (804) all_0_85_85 = e3
% 46.89/16.21  																																									|
% 46.89/16.21  																																										| Combining equations (512,804) yields a new equation:
% 46.89/16.21  																																										| (548) e3 = e2
% 46.89/16.21  																																										|
% 46.89/16.21  																																										| Equations (548) can reduce 169 to:
% 46.89/16.21  																																										| (311) $false
% 46.89/16.21  																																										|
% 46.89/16.21  																																										|-The branch is then unsatisfiable
% 46.89/16.21  																																							|-Branch two:
% 46.89/16.21  																																							| (509)  ~ (all_0_93_93 = e0)
% 46.89/16.21  																																							| (607) all_0_93_93 = e4
% 46.89/16.21  																																							|
% 46.89/16.21  																																								| Equations (607) can reduce 496 to:
% 46.89/16.21  																																								| (311) $false
% 46.89/16.21  																																								|
% 46.89/16.21  																																								|-The branch is then unsatisfiable
% 46.89/16.21  																														|-Branch two:
% 46.89/16.21  																														| (420)  ~ (all_0_81_81 = e3)
% 46.89/16.21  																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.89/16.21  																														|
% 46.89/16.21  																															+-Applying beta-rule and splitting (171), into two cases.
% 46.89/16.21  																															|-Branch one:
% 46.89/16.21  																															| (789) all_0_82_82 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																																| Combining equations (469,789) yields a new equation:
% 46.89/16.21  																																| (790) e4 = e3
% 46.89/16.21  																																|
% 46.89/16.21  																																| Simplifying 790 yields:
% 46.89/16.21  																																| (434) e4 = e3
% 46.89/16.21  																																|
% 46.89/16.21  																																| Equations (434) can reduce 177 to:
% 46.89/16.21  																																| (311) $false
% 46.89/16.21  																																|
% 46.89/16.21  																																|-The branch is then unsatisfiable
% 46.89/16.21  																															|-Branch two:
% 46.89/16.21  																															| (793)  ~ (all_0_82_82 = e3)
% 46.89/16.21  																															| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																																| Equations (469) can reduce 793 to:
% 46.89/16.21  																																| (177)  ~ (e4 = e3)
% 46.89/16.21  																																|
% 46.89/16.21  																																+-Applying beta-rule and splitting (106), into two cases.
% 46.89/16.21  																																|-Branch one:
% 46.89/16.21  																																| (771) all_0_78_78 = e3
% 46.89/16.21  																																|
% 46.89/16.21  																																	| Combining equations (400,771) yields a new equation:
% 46.89/16.21  																																	| (548) e3 = e2
% 46.89/16.21  																																	|
% 46.89/16.21  																																	| Equations (548) can reduce 169 to:
% 46.89/16.21  																																	| (311) $false
% 46.89/16.21  																																	|
% 46.89/16.21  																																	|-The branch is then unsatisfiable
% 46.89/16.21  																																|-Branch two:
% 46.89/16.21  																																| (418)  ~ (all_0_78_78 = e3)
% 46.89/16.21  																																| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.89/16.21  																																|
% 46.89/16.21  																																	+-Applying beta-rule and splitting (1296), into two cases.
% 46.89/16.21  																																	|-Branch one:
% 46.89/16.21  																																	| (795) all_0_83_83 = e3
% 46.89/16.21  																																	|
% 46.89/16.21  																																		| Combining equations (798,795) yields a new equation:
% 46.89/16.21  																																		| (600) e3 = e0
% 46.89/16.21  																																		|
% 46.89/16.21  																																		| Equations (600) can reduce 50 to:
% 46.89/16.21  																																		| (311) $false
% 46.89/16.21  																																		|
% 46.89/16.21  																																		|-The branch is then unsatisfiable
% 46.89/16.21  																																	|-Branch two:
% 46.89/16.21  																																	| (779)  ~ (all_0_83_83 = e3)
% 46.89/16.21  																																	| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 46.89/16.21  																																	|
% 46.89/16.21  																																		| Equations (798) can reduce 779 to:
% 46.89/16.21  																																		| (906)  ~ (e3 = e0)
% 46.89/16.21  																																		|
% 46.89/16.21  																																		| Simplifying 906 yields:
% 46.89/16.21  																																		| (50)  ~ (e3 = e0)
% 46.89/16.21  																																		|
% 46.89/16.21  																																		+-Applying beta-rule and splitting (1756), into two cases.
% 46.89/16.21  																																		|-Branch one:
% 46.89/16.21  																																		| (1708) all_0_79_79 = e3
% 46.89/16.21  																																		|
% 46.89/16.21  																																			| Combining equations (457,1708) yields a new equation:
% 46.89/16.21  																																			| (772) e3 = e1
% 46.89/16.21  																																			|
% 46.89/16.21  																																			| Equations (772) can reduce 20 to:
% 46.89/16.21  																																			| (311) $false
% 46.89/16.21  																																			|
% 46.89/16.21  																																			|-The branch is then unsatisfiable
% 46.89/16.21  																																		|-Branch two:
% 46.89/16.21  																																		| (1711)  ~ (all_0_79_79 = e3)
% 46.89/16.21  																																		| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.89/16.21  																																		|
% 46.89/16.21  																																			+-Applying beta-rule and splitting (1556), into two cases.
% 46.89/16.21  																																			|-Branch one:
% 46.89/16.21  																																			| (836) all_0_92_92 = e1
% 46.89/16.21  																																			|
% 46.89/16.21  																																				| Equations (836) can reduce 1619 to:
% 46.89/16.21  																																				| (681)  ~ (e4 = e1)
% 46.89/16.21  																																				|
% 46.89/16.21  																																				| Simplifying 681 yields:
% 46.89/16.21  																																				| (256)  ~ (e4 = e1)
% 46.89/16.21  																																				|
% 46.89/16.21  																																				+-Applying beta-rule and splitting (291), into two cases.
% 46.89/16.21  																																				|-Branch one:
% 46.89/16.21  																																				| (758) all_0_90_90 = e0
% 46.89/16.21  																																				|
% 46.89/16.21  																																					| Combining equations (758,754) yields a new equation:
% 46.89/16.21  																																					| (600) e3 = e0
% 46.89/16.21  																																					|
% 46.89/16.21  																																					| Equations (600) can reduce 50 to:
% 46.89/16.21  																																					| (311) $false
% 46.89/16.21  																																					|
% 46.89/16.21  																																					|-The branch is then unsatisfiable
% 46.89/16.21  																																				|-Branch two:
% 46.89/16.21  																																				| (762)  ~ (all_0_90_90 = e0)
% 46.89/16.21  																																				| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.21  																																				|
% 46.89/16.21  																																					+-Applying beta-rule and splitting (1768), into two cases.
% 46.89/16.21  																																					|-Branch one:
% 46.89/16.21  																																					| (416) all_0_80_80 = e3
% 46.89/16.21  																																					|
% 46.89/16.21  																																						+-Applying beta-rule and splitting (2), into two cases.
% 46.89/16.21  																																						|-Branch one:
% 46.89/16.21  																																						| (916) all_0_84_84 = e0
% 46.89/16.21  																																						|
% 46.89/16.21  																																							| Equations (916) can reduce 919 to:
% 46.89/16.21  																																							| (311) $false
% 46.89/16.21  																																							|
% 46.89/16.21  																																							|-The branch is then unsatisfiable
% 46.89/16.21  																																						|-Branch two:
% 46.89/16.21  																																						| (919)  ~ (all_0_84_84 = e0)
% 46.89/16.21  																																						| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 46.89/16.21  																																						|
% 46.89/16.21  																																							+-Applying beta-rule and splitting (210), into two cases.
% 46.89/16.21  																																							|-Branch one:
% 46.89/16.21  																																							| (433) all_0_80_80 = e4
% 46.89/16.21  																																							|
% 46.89/16.21  																																								| Combining equations (416,433) yields a new equation:
% 46.89/16.21  																																								| (434) e4 = e3
% 46.89/16.21  																																								|
% 46.89/16.21  																																								| Equations (434) can reduce 177 to:
% 46.89/16.21  																																								| (311) $false
% 46.89/16.21  																																								|
% 46.89/16.21  																																								|-The branch is then unsatisfiable
% 46.89/16.21  																																							|-Branch two:
% 46.89/16.21  																																							| (436)  ~ (all_0_80_80 = e4)
% 46.89/16.21  																																							| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 46.89/16.21  																																							|
% 46.89/16.21  																																								+-Applying beta-rule and splitting (1455), into two cases.
% 46.89/16.21  																																								|-Branch one:
% 46.89/16.21  																																								| (1456) all_0_91_91 = e0
% 46.89/16.21  																																								|
% 46.89/16.21  																																									| Combining equations (1456,1723) yields a new equation:
% 46.89/16.21  																																									| (379) e2 = e0
% 46.89/16.21  																																									|
% 46.89/16.21  																																									| Equations (379) can reduce 76 to:
% 46.89/16.21  																																									| (311) $false
% 46.89/16.21  																																									|
% 46.89/16.21  																																									|-The branch is then unsatisfiable
% 46.89/16.21  																																								|-Branch two:
% 46.89/16.21  																																								| (1487)  ~ (all_0_91_91 = e0)
% 46.89/16.21  																																								| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 46.89/16.21  																																								|
% 46.89/16.21  																																									| Equations (1723) can reduce 1487 to:
% 46.89/16.21  																																									| (76)  ~ (e2 = e0)
% 46.89/16.21  																																									|
% 46.89/16.21  																																									+-Applying beta-rule and splitting (920), into two cases.
% 46.89/16.21  																																									|-Branch one:
% 46.89/16.21  																																									| (861) all_0_87_87 = e0
% 46.89/16.21  																																									|
% 46.89/16.21  																																										| Combining equations (374,861) yields a new equation:
% 46.89/16.21  																																										| (923) e2 = e0
% 46.89/16.21  																																										|
% 46.89/16.21  																																										| Simplifying 923 yields:
% 46.89/16.21  																																										| (379) e2 = e0
% 46.89/16.21  																																										|
% 46.89/16.21  																																										| Equations (379) can reduce 76 to:
% 46.89/16.21  																																										| (311) $false
% 46.89/16.21  																																										|
% 46.89/16.21  																																										|-The branch is then unsatisfiable
% 46.89/16.21  																																									|-Branch two:
% 46.89/16.21  																																									| (889)  ~ (all_0_87_87 = e0)
% 46.89/16.21  																																									| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 46.89/16.21  																																									|
% 46.89/16.21  																																										+-Applying beta-rule and splitting (931), into two cases.
% 46.89/16.21  																																										|-Branch one:
% 46.89/16.21  																																										| (942) all_0_92_92 = e0
% 46.89/16.21  																																										|
% 46.89/16.21  																																											| Combining equations (942,836) yields a new equation:
% 46.89/16.21  																																											| (865) e1 = e0
% 46.89/16.21  																																											|
% 46.89/16.21  																																											| Equations (865) can reduce 264 to:
% 46.89/16.21  																																											| (311) $false
% 46.89/16.21  																																											|
% 46.89/16.21  																																											|-The branch is then unsatisfiable
% 46.89/16.21  																																										|-Branch two:
% 46.89/16.21  																																										| (946)  ~ (all_0_92_92 = e0)
% 46.89/16.21  																																										| (560) all_0_97_97 = e0
% 46.89/16.21  																																										|
% 46.89/16.21  																																											+-Applying beta-rule and splitting (437), into two cases.
% 46.89/16.21  																																											|-Branch one:
% 46.89/16.21  																																											| (438) all_0_84_84 = e4
% 46.89/16.21  																																											|
% 46.89/16.21  																																												| Equations (438) can reduce 417 to:
% 46.89/16.21  																																												| (311) $false
% 46.89/16.21  																																												|
% 46.89/16.21  																																												|-The branch is then unsatisfiable
% 46.89/16.21  																																											|-Branch two:
% 46.89/16.21  																																											| (417)  ~ (all_0_84_84 = e4)
% 46.89/16.21  																																											| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 46.89/16.21  																																											|
% 46.89/16.21  																																												+-Applying beta-rule and splitting (441), into two cases.
% 46.89/16.21  																																												|-Branch one:
% 46.89/16.21  																																												| (442) all_0_92_92 = e4
% 46.89/16.21  																																												|
% 46.89/16.21  																																													| Combining equations (836,442) yields a new equation:
% 46.89/16.21  																																													| (814) e4 = e1
% 46.89/16.21  																																													|
% 46.89/16.21  																																													| Equations (814) can reduce 256 to:
% 46.89/16.21  																																													| (311) $false
% 46.89/16.21  																																													|
% 46.89/16.21  																																													|-The branch is then unsatisfiable
% 46.89/16.21  																																												|-Branch two:
% 46.89/16.21  																																												| (1619)  ~ (all_0_92_92 = e4)
% 46.89/16.21  																																												| (610) all_0_97_97 = e4
% 46.89/16.21  																																												|
% 46.89/16.21  																																													| Combining equations (560,610) yields a new equation:
% 46.89/16.21  																																													| (912) e4 = e0
% 46.89/16.21  																																													|
% 46.89/16.21  																																													| Equations (912) can reduce 23 to:
% 46.89/16.21  																																													| (311) $false
% 46.89/16.21  																																													|
% 46.89/16.21  																																													|-The branch is then unsatisfiable
% 46.89/16.21  																																					|-Branch two:
% 46.89/16.21  																																					| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.21  																																					| (635) all_0_81_81 = e3
% 46.89/16.21  																																					|
% 46.89/16.21  																																						| Equations (635) can reduce 420 to:
% 46.89/16.21  																																						| (311) $false
% 46.89/16.21  																																						|
% 46.89/16.21  																																						|-The branch is then unsatisfiable
% 46.89/16.21  																																			|-Branch two:
% 46.89/16.21  																																			| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.21  																																			| (566) all_0_93_93 = e1
% 46.89/16.21  																																			|
% 46.89/16.21  																																				| Equations (566) can reduce 481 to:
% 46.89/16.21  																																				| (311) $false
% 46.89/16.21  																																				|
% 46.89/16.21  																																				|-The branch is then unsatisfiable
% 46.89/16.21  																												|-Branch two:
% 46.89/16.21  																												| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.21  																												| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 46.89/16.21  																												|
% 46.89/16.21  																													+-Applying beta-rule and splitting (220), into two cases.
% 46.89/16.21  																													|-Branch one:
% 46.89/16.21  																													| (771) all_0_78_78 = e3
% 46.89/16.21  																													|
% 46.89/16.21  																														| Combining equations (400,771) yields a new equation:
% 46.89/16.21  																														| (548) e3 = e2
% 46.89/16.21  																														|
% 46.89/16.21  																														| Equations (548) can reduce 169 to:
% 46.89/16.21  																														| (311) $false
% 46.89/16.21  																														|
% 46.89/16.21  																														|-The branch is then unsatisfiable
% 46.89/16.21  																													|-Branch two:
% 46.89/16.21  																													| (418)  ~ (all_0_78_78 = e3)
% 46.89/16.21  																													| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 46.89/16.21  																													|
% 46.89/16.21  																														+-Applying beta-rule and splitting (775), into two cases.
% 46.89/16.21  																														|-Branch one:
% 46.89/16.21  																														| (789) all_0_82_82 = e3
% 46.89/16.21  																														|
% 46.89/16.21  																															| Combining equations (469,789) yields a new equation:
% 46.89/16.21  																															| (790) e4 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																															| Simplifying 790 yields:
% 46.89/16.21  																															| (434) e4 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																															| Equations (434) can reduce 177 to:
% 46.89/16.21  																															| (311) $false
% 46.89/16.21  																															|
% 46.89/16.21  																															|-The branch is then unsatisfiable
% 46.89/16.21  																														|-Branch two:
% 46.89/16.21  																														| (793)  ~ (all_0_82_82 = e3)
% 46.89/16.21  																														| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 46.89/16.21  																														|
% 46.89/16.21  																															+-Applying beta-rule and splitting (794), into two cases.
% 46.89/16.21  																															|-Branch one:
% 46.89/16.21  																															| (754) all_0_90_90 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																																| Equations (754) can reduce 745 to:
% 46.89/16.21  																																| (311) $false
% 46.89/16.21  																																|
% 46.89/16.21  																																|-The branch is then unsatisfiable
% 46.89/16.21  																															|-Branch two:
% 46.89/16.21  																															| (745)  ~ (all_0_90_90 = e3)
% 46.89/16.21  																															| (744) all_0_95_95 = e3
% 46.89/16.21  																															|
% 46.89/16.21  																																| Combining equations (744,785) yields a new equation:
% 46.89/16.21  																																| (825) e3 = e1
% 46.89/16.21  																																|
% 46.89/16.21  																																| Simplifying 825 yields:
% 46.89/16.21  																																| (772) e3 = e1
% 46.89/16.21  																																|
% 46.89/16.21  																																| Equations (772) can reduce 20 to:
% 46.89/16.21  																																| (311) $false
% 46.89/16.21  																																|
% 46.89/16.21  																																|-The branch is then unsatisfiable
% 46.89/16.21  																								|-Branch two:
% 46.89/16.21  																								| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.21  																								| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 46.89/16.21  																								|
% 46.89/16.21  																									+-Applying beta-rule and splitting (853), into two cases.
% 46.89/16.21  																									|-Branch one:
% 46.89/16.21  																									| (744) all_0_95_95 = e3
% 46.89/16.21  																									|
% 46.89/16.21  																										| Equations (744) can reduce 765 to:
% 46.89/16.21  																										| (311) $false
% 46.89/16.21  																										|
% 46.89/16.21  																										|-The branch is then unsatisfiable
% 46.89/16.21  																									|-Branch two:
% 46.89/16.21  																									| (765)  ~ (all_0_95_95 = e3)
% 46.89/16.21  																									| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 46.89/16.21  																									|
% 46.89/16.21  																										+-Applying beta-rule and splitting (857), into two cases.
% 46.89/16.21  																										|-Branch one:
% 46.89/16.21  																										| (858) all_0_95_95 = e0
% 46.89/16.21  																										|
% 46.89/16.21  																											| Equations (858) can reduce 893 to:
% 46.89/16.21  																											| (311) $false
% 46.89/16.21  																											|
% 46.89/16.21  																											|-The branch is then unsatisfiable
% 46.89/16.21  																										|-Branch two:
% 46.89/16.21  																										| (893)  ~ (all_0_95_95 = e0)
% 46.89/16.21  																										| (894) all_0_95_95 = e4
% 46.89/16.21  																										|
% 46.89/16.21  																											| Equations (894) can reduce 315 to:
% 46.89/16.21  																											| (311) $false
% 46.89/16.21  																											|
% 46.89/16.21  																											|-The branch is then unsatisfiable
% 46.89/16.21  																						|-Branch two:
% 46.89/16.21  																						| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.21  																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 46.89/16.21  																						|
% 46.89/16.21  																							+-Applying beta-rule and splitting (4), into two cases.
% 46.89/16.21  																							|-Branch one:
% 46.89/16.21  																							| (463) all_0_78_78 = e4
% 46.89/16.21  																							|
% 46.89/16.21  																								| Combining equations (400,463) yields a new equation:
% 46.89/16.21  																								| (310) e4 = e2
% 46.89/16.21  																								|
% 46.89/16.21  																								| Equations (310) can reduce 79 to:
% 46.89/16.21  																								| (311) $false
% 46.89/16.21  																								|
% 46.89/16.21  																								|-The branch is then unsatisfiable
% 46.89/16.21  																							|-Branch two:
% 46.89/16.21  																							| (640)  ~ (all_0_78_78 = e4)
% 46.89/16.21  																							| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 46.89/16.21  																							|
% 46.89/16.21  																								+-Applying beta-rule and splitting (3625), into two cases.
% 46.89/16.21  																								|-Branch one:
% 46.89/16.21  																								| (469) all_0_82_82 = e4
% 46.89/16.21  																								|
% 46.89/16.21  																									| Equations (469) can reduce 465 to:
% 46.89/16.21  																									| (311) $false
% 46.89/16.21  																									|
% 46.89/16.21  																									|-The branch is then unsatisfiable
% 46.89/16.21  																								|-Branch two:
% 46.89/16.21  																								| (465)  ~ (all_0_82_82 = e4)
% 46.89/16.21  																								| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 46.89/16.21  																								|
% 46.89/16.21  																									+-Applying beta-rule and splitting (3629), into two cases.
% 46.89/16.21  																									|-Branch one:
% 46.89/16.21  																									| (583) all_0_90_90 = e4
% 46.89/16.21  																									|
% 46.89/16.21  																										| Equations (583) can reduce 467 to:
% 46.89/16.21  																										| (311) $false
% 46.89/16.21  																										|
% 46.89/16.21  																										|-The branch is then unsatisfiable
% 46.89/16.21  																									|-Branch two:
% 46.89/16.21  																									| (467)  ~ (all_0_90_90 = e4)
% 46.89/16.21  																									| (894) all_0_95_95 = e4
% 46.89/16.21  																									|
% 46.89/16.21  																										| Equations (894) can reduce 765 to:
% 46.89/16.21  																										| (177)  ~ (e4 = e3)
% 46.89/16.21  																										|
% 46.89/16.21  																										| Equations (894) can reduce 355 to:
% 46.89/16.21  																										| (79)  ~ (e4 = e2)
% 46.89/16.21  																										|
% 46.89/16.21  																										| From (894) and (275) follows:
% 46.89/16.21  																										| (19344) op(e0, e3) = e4
% 46.89/16.21  																										|
% 46.89/16.21  																										+-Applying beta-rule and splitting (472), into two cases.
% 46.89/16.21  																										|-Branch one:
% 46.89/16.21  																										| (438) all_0_84_84 = e4
% 46.89/16.21  																										|
% 46.89/16.21  																											| Equations (438) can reduce 273 to:
% 46.89/16.21  																											| (436)  ~ (all_0_80_80 = e4)
% 46.89/16.21  																											|
% 46.89/16.21  																											| Equations (438) can reduce 195 to:
% 46.89/16.21  																											| (318)  ~ (all_0_97_97 = e4)
% 46.89/16.21  																											|
% 46.89/16.21  																											| Simplifying 318 yields:
% 46.89/16.21  																											| (319)  ~ (all_0_97_97 = e4)
% 46.89/16.21  																											|
% 46.89/16.21  																											+-Applying beta-rule and splitting (188), into two cases.
% 46.89/16.21  																											|-Branch one:
% 46.89/16.21  																											| (676) all_0_78_78 = e1
% 46.89/16.21  																											|
% 46.89/16.21  																												| Combining equations (400,676) yields a new equation:
% 46.89/16.21  																												| (408) e2 = e1
% 46.89/16.21  																												|
% 46.89/16.21  																												| Simplifying 408 yields:
% 46.89/16.21  																												| (385) e2 = e1
% 46.89/16.21  																												|
% 46.89/16.21  																												| Equations (385) can reduce 243 to:
% 46.89/16.21  																												| (311) $false
% 46.89/16.21  																												|
% 46.89/16.21  																												|-The branch is then unsatisfiable
% 46.89/16.21  																											|-Branch two:
% 46.89/16.21  																											| (1601)  ~ (all_0_78_78 = e1)
% 46.89/16.21  																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.89/16.21  																											|
% 46.89/16.21  																												+-Applying beta-rule and splitting (641), into two cases.
% 46.89/16.21  																												|-Branch one:
% 46.89/16.21  																												| (433) all_0_80_80 = e4
% 46.89/16.21  																												|
% 46.89/16.21  																													| Equations (433) can reduce 436 to:
% 46.89/16.21  																													| (311) $false
% 46.89/16.21  																													|
% 46.89/16.21  																													|-The branch is then unsatisfiable
% 46.89/16.21  																												|-Branch two:
% 46.89/16.21  																												| (436)  ~ (all_0_80_80 = e4)
% 46.89/16.21  																												| (638) all_0_81_81 = e4
% 46.89/16.21  																												|
% 46.89/16.21  																													| Equations (638) can reduce 396 to:
% 46.89/16.21  																													| (79)  ~ (e4 = e2)
% 46.89/16.21  																													|
% 46.89/16.21  																													| Equations (638) can reduce 628 to:
% 46.89/16.21  																													| (256)  ~ (e4 = e1)
% 46.89/16.21  																													|
% 46.89/16.21  																													| From (638) and (145) follows:
% 46.89/16.22  																													| (30704) op(e0, e4) = all_0_69_69
% 46.89/16.22  																													|
% 46.89/16.22  																													+-Applying beta-rule and splitting (106), into two cases.
% 46.89/16.22  																													|-Branch one:
% 46.89/16.22  																													| (771) all_0_78_78 = e3
% 46.89/16.22  																													|
% 46.89/16.22  																														| Combining equations (400,771) yields a new equation:
% 46.89/16.22  																														| (548) e3 = e2
% 46.89/16.22  																														|
% 46.89/16.22  																														| Equations (548) can reduce 169 to:
% 46.89/16.22  																														| (311) $false
% 46.89/16.22  																														|
% 46.89/16.22  																														|-The branch is then unsatisfiable
% 46.89/16.22  																													|-Branch two:
% 46.89/16.22  																													| (418)  ~ (all_0_78_78 = e3)
% 46.89/16.22  																													| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 46.89/16.22  																													|
% 46.89/16.22  																														| Equations (400) can reduce 418 to:
% 46.89/16.22  																														| (356)  ~ (e3 = e2)
% 46.89/16.22  																														|
% 46.89/16.22  																														| Simplifying 356 yields:
% 46.89/16.22  																														| (169)  ~ (e3 = e2)
% 46.89/16.22  																														|
% 46.89/16.22  																														+-Applying beta-rule and splitting (250), into two cases.
% 46.89/16.22  																														|-Branch one:
% 46.89/16.22  																														| (635) all_0_81_81 = e3
% 46.89/16.22  																														|
% 46.89/16.22  																															| Combining equations (638,635) yields a new equation:
% 46.89/16.22  																															| (790) e4 = e3
% 46.89/16.22  																															|
% 46.89/16.22  																															| Simplifying 790 yields:
% 46.89/16.22  																															| (434) e4 = e3
% 46.89/16.22  																															|
% 46.89/16.22  																															| Equations (434) can reduce 177 to:
% 46.89/16.22  																															| (311) $false
% 46.89/16.22  																															|
% 46.89/16.22  																															|-The branch is then unsatisfiable
% 46.89/16.22  																														|-Branch two:
% 46.89/16.22  																														| (420)  ~ (all_0_81_81 = e3)
% 46.89/16.22  																														| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 46.89/16.22  																														|
% 46.89/16.22  																															| Equations (638) can reduce 420 to:
% 46.89/16.22  																															| (177)  ~ (e4 = e3)
% 46.89/16.22  																															|
% 46.89/16.22  																															+-Applying beta-rule and splitting (1756), into two cases.
% 46.89/16.22  																															|-Branch one:
% 46.89/16.22  																															| (1708) all_0_79_79 = e3
% 46.89/16.22  																															|
% 46.89/16.22  																																| Combining equations (457,1708) yields a new equation:
% 46.89/16.22  																																| (772) e3 = e1
% 46.89/16.22  																																|
% 46.89/16.22  																																| Equations (772) can reduce 20 to:
% 46.89/16.22  																																| (311) $false
% 46.89/16.22  																																|
% 46.89/16.22  																																|-The branch is then unsatisfiable
% 46.89/16.22  																															|-Branch two:
% 46.89/16.22  																															| (1711)  ~ (all_0_79_79 = e3)
% 46.89/16.22  																															| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 46.89/16.22  																															|
% 46.89/16.22  																																+-Applying beta-rule and splitting (4488), into two cases.
% 46.89/16.22  																																|-Branch one:
% 46.89/16.22  																																| (804) all_0_85_85 = e3
% 46.89/16.22  																																|
% 46.89/16.22  																																	| Combining equations (804,512) yields a new equation:
% 46.89/16.22  																																	| (547) e3 = e2
% 46.89/16.22  																																	|
% 46.89/16.22  																																	| Simplifying 547 yields:
% 46.89/16.22  																																	| (548) e3 = e2
% 46.89/16.22  																																	|
% 46.89/16.22  																																	| Equations (548) can reduce 169 to:
% 46.89/16.22  																																	| (311) $false
% 46.89/16.22  																																	|
% 46.89/16.22  																																	|-The branch is then unsatisfiable
% 46.89/16.22  																																|-Branch two:
% 46.89/16.22  																																| (952)  ~ (all_0_85_85 = e3)
% 46.89/16.22  																																| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 46.89/16.22  																																|
% 46.89/16.22  																																	+-Applying beta-rule and splitting (1768), into two cases.
% 46.89/16.22  																																	|-Branch one:
% 46.89/16.22  																																	| (416) all_0_80_80 = e3
% 46.89/16.22  																																	|
% 46.89/16.22  																																		| Equations (416) can reduce 828 to:
% 46.89/16.22  																																		| (20)  ~ (e3 = e1)
% 46.89/16.22  																																		|
% 46.89/16.22  																																		+-Applying beta-rule and splitting (1718), into two cases.
% 46.89/16.22  																																		|-Branch one:
% 46.89/16.22  																																		| (384) all_0_86_86 = e1
% 46.89/16.22  																																		|
% 46.89/16.22  																																			| Combining equations (384,378) yields a new equation:
% 46.89/16.22  																																			| (1107) e1 = e0
% 46.89/16.22  																																			|
% 46.89/16.22  																																			| Simplifying 1107 yields:
% 46.89/16.22  																																			| (865) e1 = e0
% 46.89/16.22  																																			|
% 46.89/16.22  																																			| Equations (865) can reduce 264 to:
% 46.89/16.22  																																			| (311) $false
% 46.89/16.22  																																			|
% 46.89/16.22  																																			|-The branch is then unsatisfiable
% 46.89/16.22  																																		|-Branch two:
% 46.89/16.22  																																		| (387)  ~ (all_0_86_86 = e1)
% 46.89/16.22  																																		| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.89/16.22  																																		|
% 46.89/16.22  																																			+-Applying beta-rule and splitting (2122), into two cases.
% 46.89/16.22  																																			|-Branch one:
% 46.89/16.22  																																			| (750) all_0_90_90 = e1
% 46.89/16.22  																																			|
% 46.89/16.22  																																				| Equations (750) can reduce 72 to:
% 46.89/16.22  																																				| (2131)  ~ (all_0_92_92 = e1)
% 46.89/16.22  																																				|
% 46.89/16.22  																																				| Simplifying 2131 yields:
% 46.89/16.22  																																				| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.22  																																				|
% 46.89/16.22  																																				| Equations (750) can reduce 294 to:
% 46.89/16.22  																																				| (487)  ~ (e2 = e1)
% 46.89/16.22  																																				|
% 46.89/16.22  																																				| Simplifying 487 yields:
% 46.89/16.22  																																				| (243)  ~ (e2 = e1)
% 46.89/16.22  																																				|
% 46.89/16.22  																																				+-Applying beta-rule and splitting (151), into two cases.
% 46.89/16.22  																																				|-Branch one:
% 46.89/16.22  																																				| (824) all_0_80_80 = e1
% 46.89/16.22  																																				|
% 46.89/16.22  																																					| Combining equations (416,824) yields a new equation:
% 46.89/16.22  																																					| (825) e3 = e1
% 46.89/16.22  																																					|
% 46.89/16.22  																																					| Simplifying 825 yields:
% 46.89/16.22  																																					| (772) e3 = e1
% 46.89/16.22  																																					|
% 46.89/16.22  																																					| Equations (772) can reduce 20 to:
% 46.89/16.22  																																					| (311) $false
% 46.89/16.22  																																					|
% 46.89/16.22  																																					|-The branch is then unsatisfiable
% 46.89/16.22  																																				|-Branch two:
% 46.89/16.22  																																				| (828)  ~ (all_0_80_80 = e1)
% 46.89/16.22  																																				| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 46.89/16.22  																																				|
% 46.89/16.22  																																					+-Applying beta-rule and splitting (4559), into two cases.
% 46.89/16.22  																																					|-Branch one:
% 46.89/16.22  																																					| (570) all_0_93_93 = e3
% 46.89/16.22  																																					|
% 46.89/16.22  																																						| From (570) and (173) follows:
% 46.89/16.22  																																						| (4654) op(e0, e3) = all_0_75_75
% 46.89/16.22  																																						|
% 46.89/16.22  																																						+-Applying beta-rule and splitting (119), into two cases.
% 46.89/16.22  																																						|-Branch one:
% 46.89/16.22  																																						| (1343) all_0_92_92 = e2
% 46.89/16.22  																																						|
% 46.89/16.22  																																							| Equations (1343) can reduce 298 to:
% 46.89/16.22  																																							| (311) $false
% 46.89/16.22  																																							|
% 46.89/16.22  																																							|-The branch is then unsatisfiable
% 46.89/16.22  																																						|-Branch two:
% 46.89/16.22  																																						| (298)  ~ (all_0_92_92 = e2)
% 46.89/16.22  																																						| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 46.89/16.22  																																						|
% 46.89/16.22  																																							+-Applying beta-rule and splitting (829), into two cases.
% 46.89/16.22  																																							|-Branch one:
% 46.89/16.22  																																							| (482) all_0_87_87 = e1
% 46.89/16.22  																																							|
% 46.89/16.22  																																								| Combining equations (482,374) yields a new equation:
% 46.89/16.22  																																								| (385) e2 = e1
% 46.89/16.22  																																								|
% 46.89/16.22  																																								| Equations (385) can reduce 243 to:
% 46.89/16.22  																																								| (311) $false
% 46.89/16.22  																																								|
% 46.89/16.22  																																								|-The branch is then unsatisfiable
% 46.89/16.22  																																							|-Branch two:
% 46.89/16.22  																																							| (625)  ~ (all_0_87_87 = e1)
% 46.89/16.22  																																							| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 46.89/16.22  																																							|
% 46.89/16.22  																																								+-Applying beta-rule and splitting (3735), into two cases.
% 46.89/16.22  																																								|-Branch one:
% 46.89/16.22  																																								| (836) all_0_92_92 = e1
% 46.89/16.22  																																								|
% 46.89/16.22  																																									| Equations (836) can reduce 840 to:
% 46.89/16.22  																																									| (311) $false
% 46.89/16.22  																																									|
% 46.89/16.22  																																									|-The branch is then unsatisfiable
% 46.89/16.22  																																								|-Branch two:
% 46.89/16.22  																																								| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.22  																																								| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 46.89/16.22  																																								|
% 46.89/16.22  																																									+-Applying beta-rule and splitting (835), into two cases.
% 46.89/16.22  																																									|-Branch one:
% 46.89/16.22  																																									| (836) all_0_92_92 = e1
% 46.89/16.22  																																									|
% 46.89/16.22  																																										| Equations (836) can reduce 840 to:
% 46.89/16.22  																																										| (311) $false
% 46.89/16.22  																																										|
% 46.89/16.22  																																										|-The branch is then unsatisfiable
% 46.89/16.22  																																									|-Branch two:
% 46.89/16.22  																																									| (840)  ~ (all_0_92_92 = e1)
% 46.89/16.22  																																									| (542) all_0_97_97 = e1
% 46.89/16.22  																																									|
% 46.89/16.22  																																										| Combining equations (542,8321) yields a new equation:
% 46.89/16.22  																																										| (2602) all_0_73_73 = e1
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Equations (542) can reduce 319 to:
% 46.89/16.22  																																										| (681)  ~ (e4 = e1)
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Simplifying 681 yields:
% 46.89/16.22  																																										| (256)  ~ (e4 = e1)
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Equations (542) can reduce 527 to:
% 46.89/16.22  																																										| (487)  ~ (e2 = e1)
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Simplifying 487 yields:
% 46.89/16.22  																																										| (243)  ~ (e2 = e1)
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Instantiating formula (262) with e0, e4, all_0_69_69, e2 and discharging atoms op(e0, e4) = all_0_69_69, op(e0, e4) = e2, yields:
% 46.89/16.22  																																										| (18072) all_0_69_69 = e2
% 46.89/16.22  																																										|
% 46.89/16.22  																																										| Instantiating formula (262) with e0, e3, e4, all_0_75_75 and discharging atoms op(e0, e3) = all_0_75_75, op(e0, e3) = e4, yields:
% 46.89/16.22  																																										| (1966) all_0_75_75 = e4
% 46.89/16.22  																																										|
% 46.89/16.22  																																										+-Applying beta-rule and splitting (89), into two cases.
% 46.89/16.22  																																										|-Branch one:
% 46.89/16.22  																																										| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 46.89/16.22  																																										|
% 46.89/16.22  																																											+-Applying beta-rule and splitting (1373), into two cases.
% 46.89/16.22  																																											|-Branch one:
% 46.89/16.22  																																											| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 46.89/16.22  																																											|
% 46.89/16.22  																																												+-Applying beta-rule and splitting (1374), into two cases.
% 46.89/16.22  																																												|-Branch one:
% 46.89/16.22  																																												| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 46.89/16.22  																																												|
% 46.89/16.22  																																													| Applying alpha-rule on (1375) yields:
% 46.89/16.22  																																													| (1376) all_0_69_69 = e4
% 46.89/16.22  																																													| (1377)  ~ (all_0_70_70 = e0)
% 46.89/16.22  																																													|
% 46.89/16.22  																																													| Combining equations (18072,1376) yields a new equation:
% 46.89/16.22  																																													| (310) e4 = e2
% 46.89/16.22  																																													|
% 46.89/16.22  																																													| Equations (310) can reduce 79 to:
% 46.89/16.22  																																													| (311) $false
% 46.89/16.22  																																													|
% 46.89/16.22  																																													|-The branch is then unsatisfiable
% 46.89/16.22  																																												|-Branch two:
% 46.89/16.22  																																												| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 46.89/16.22  																																												|
% 46.89/16.22  																																													| Applying alpha-rule on (1379) yields:
% 46.89/16.22  																																													| (1380) all_0_71_71 = e3
% 46.89/16.22  																																													| (1381)  ~ (all_0_72_72 = e0)
% 46.89/16.22  																																													|
% 46.89/16.22  																																													| Equations (10076) can reduce 1381 to:
% 46.89/16.22  																																													| (311) $false
% 46.89/16.22  																																													|
% 46.89/16.22  																																													|-The branch is then unsatisfiable
% 46.89/16.22  																																											|-Branch two:
% 46.89/16.22  																																											| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 46.89/16.22  																																											|
% 46.89/16.22  																																												| Applying alpha-rule on (1385) yields:
% 46.89/16.22  																																												| (1386) all_0_73_73 = e2
% 46.89/16.22  																																												| (1387)  ~ (all_0_74_74 = e0)
% 46.89/16.22  																																												|
% 46.89/16.22  																																												| Combining equations (2602,1386) yields a new equation:
% 46.89/16.22  																																												| (385) e2 = e1
% 46.89/16.22  																																												|
% 46.89/16.22  																																												| Equations (385) can reduce 243 to:
% 46.89/16.22  																																												| (311) $false
% 46.89/16.22  																																												|
% 46.89/16.22  																																												|-The branch is then unsatisfiable
% 46.89/16.22  																																										|-Branch two:
% 46.89/16.22  																																										| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 46.89/16.22  																																										|
% 46.89/16.22  																																											| Applying alpha-rule on (1391) yields:
% 46.89/16.22  																																											| (1392) all_0_75_75 = e1
% 46.89/16.22  																																											| (1393)  ~ (all_0_76_76 = e0)
% 46.89/16.22  																																											|
% 46.89/16.22  																																											| Combining equations (1966,1392) yields a new equation:
% 46.89/16.22  																																											| (813) e4 = e1
% 46.89/16.22  																																											|
% 46.89/16.22  																																											| Simplifying 813 yields:
% 46.89/16.22  																																											| (814) e4 = e1
% 46.89/16.22  																																											|
% 46.89/16.22  																																											| Equations (814) can reduce 256 to:
% 46.89/16.22  																																											| (311) $false
% 46.89/16.22  																																											|
% 46.89/16.22  																																											|-The branch is then unsatisfiable
% 46.89/16.22  																																					|-Branch two:
% 46.89/16.22  																																					| (602)  ~ (all_0_93_93 = e3)
% 46.89/16.22  																																					| (969) all_0_98_98 = e3
% 46.89/16.22  																																					|
% 46.89/16.22  																																						| Equations (969) can reduce 1519 to:
% 46.89/16.22  																																						| (311) $false
% 46.89/16.22  																																						|
% 46.89/16.22  																																						|-The branch is then unsatisfiable
% 46.89/16.22  																																			|-Branch two:
% 46.89/16.22  																																			| (678)  ~ (all_0_90_90 = e1)
% 46.89/16.22  																																			| (785) all_0_95_95 = e1
% 46.89/16.22  																																			|
% 46.89/16.22  																																				| Combining equations (894,785) yields a new equation:
% 46.89/16.22  																																				| (813) e4 = e1
% 46.89/16.22  																																				|
% 46.89/16.22  																																				| Simplifying 813 yields:
% 46.89/16.22  																																				| (814) e4 = e1
% 46.89/16.22  																																				|
% 46.89/16.22  																																				| Equations (814) can reduce 256 to:
% 46.89/16.22  																																				| (311) $false
% 46.89/16.22  																																				|
% 46.89/16.22  																																				|-The branch is then unsatisfiable
% 46.89/16.22  																																	|-Branch two:
% 46.89/16.22  																																	| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.22  																																	| (635) all_0_81_81 = e3
% 46.89/16.22  																																	|
% 46.89/16.22  																																		| Combining equations (638,635) yields a new equation:
% 46.89/16.22  																																		| (790) e4 = e3
% 46.89/16.22  																																		|
% 46.89/16.22  																																		| Simplifying 790 yields:
% 46.89/16.22  																																		| (434) e4 = e3
% 46.89/16.22  																																		|
% 46.89/16.22  																																		| Equations (434) can reduce 177 to:
% 46.89/16.22  																																		| (311) $false
% 46.89/16.22  																																		|
% 46.89/16.22  																																		|-The branch is then unsatisfiable
% 46.89/16.22  																										|-Branch two:
% 46.89/16.22  																										| (417)  ~ (all_0_84_84 = e4)
% 46.89/16.22  																										| (493) all_0_85_85 = e4
% 46.89/16.22  																										|
% 46.89/16.22  																											| Combining equations (493,512) yields a new equation:
% 46.89/16.22  																											| (309) e4 = e2
% 46.89/16.22  																											|
% 46.89/16.22  																											| Simplifying 309 yields:
% 46.89/16.22  																											| (310) e4 = e2
% 46.89/16.22  																											|
% 46.89/16.22  																											| Equations (310) can reduce 79 to:
% 46.89/16.22  																											| (311) $false
% 46.89/16.22  																											|
% 46.89/16.22  																											|-The branch is then unsatisfiable
% 46.89/16.22  																					|-Branch two:
% 46.89/16.22  																					| (964)  ~ (all_0_96_96 = e3)
% 46.89/16.22  																					| (1837) all_0_96_96 = e0
% 46.89/16.22  																					|
% 46.89/16.22  																						| Equations (1837) can reduce 2095 to:
% 46.89/16.22  																						| (311) $false
% 46.89/16.22  																						|
% 46.89/16.22  																						|-The branch is then unsatisfiable
% 46.89/16.22  																		|-Branch two:
% 46.89/16.22  																		| (461)  ~ (all_0_79_79 = e1)
% 46.89/16.22  																		| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 46.89/16.22  																		|
% 46.89/16.22  																			+-Applying beta-rule and splitting (1623), into two cases.
% 46.89/16.22  																			|-Branch one:
% 46.89/16.22  																			| (457) all_0_79_79 = e1
% 46.89/16.22  																			|
% 46.89/16.22  																				| Equations (457) can reduce 461 to:
% 46.89/16.22  																				| (311) $false
% 46.89/16.22  																				|
% 46.89/16.22  																				|-The branch is then unsatisfiable
% 46.89/16.22  																			|-Branch two:
% 46.89/16.22  																			| (461)  ~ (all_0_79_79 = e1)
% 46.89/16.23  																			| (1708) all_0_79_79 = e3
% 46.89/16.23  																			|
% 46.89/16.23  																				| Equations (1708) can reduce 63 to:
% 46.89/16.23  																				| (3267)  ~ (all_0_80_80 = e3)
% 46.89/16.23  																				|
% 46.89/16.23  																				| Simplifying 3267 yields:
% 46.89/16.23  																				| (2347)  ~ (all_0_80_80 = e3)
% 46.89/16.23  																				|
% 46.89/16.23  																				| Equations (1708) can reduce 214 to:
% 46.89/16.23  																				| (1300)  ~ (all_0_96_96 = e3)
% 46.89/16.23  																				|
% 46.89/16.23  																				| Simplifying 1300 yields:
% 46.89/16.23  																				| (964)  ~ (all_0_96_96 = e3)
% 46.89/16.23  																				|
% 46.89/16.23  																				| From (1708) and (184) follows:
% 46.89/16.23  																				| (11003) op(e2, e3) = all_0_52_52
% 46.89/16.23  																				|
% 46.89/16.23  																				+-Applying beta-rule and splitting (129), into two cases.
% 46.89/16.23  																				|-Branch one:
% 46.89/16.23  																				| (676) all_0_78_78 = e1
% 46.89/16.23  																				|
% 46.89/16.23  																					| Combining equations (400,676) yields a new equation:
% 46.89/16.23  																					| (408) e2 = e1
% 46.89/16.23  																					|
% 46.89/16.23  																					| Simplifying 408 yields:
% 46.89/16.23  																					| (385) e2 = e1
% 46.89/16.23  																					|
% 46.89/16.23  																					| Equations (385) can reduce 243 to:
% 46.89/16.23  																					| (311) $false
% 46.89/16.23  																					|
% 46.89/16.23  																					|-The branch is then unsatisfiable
% 46.89/16.23  																				|-Branch two:
% 46.89/16.23  																				| (1601)  ~ (all_0_78_78 = e1)
% 46.89/16.23  																				| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 46.89/16.23  																				|
% 46.89/16.23  																					| Equations (400) can reduce 1601 to:
% 46.89/16.23  																					| (243)  ~ (e2 = e1)
% 46.89/16.23  																					|
% 46.89/16.23  																					+-Applying beta-rule and splitting (462), into two cases.
% 46.89/16.23  																					|-Branch one:
% 46.89/16.23  																					| (801) all_0_91_91 = e1
% 46.89/16.23  																					|
% 46.89/16.23  																						| Combining equations (1723,801) yields a new equation:
% 46.89/16.23  																						| (408) e2 = e1
% 46.89/16.23  																						|
% 46.89/16.23  																						| Simplifying 408 yields:
% 46.89/16.23  																						| (385) e2 = e1
% 46.89/16.23  																						|
% 46.89/16.23  																						| Equations (385) can reduce 243 to:
% 46.89/16.23  																						| (311) $false
% 46.89/16.23  																						|
% 46.89/16.23  																						|-The branch is then unsatisfiable
% 46.89/16.23  																					|-Branch two:
% 46.89/16.23  																					| (959)  ~ (all_0_91_91 = e1)
% 46.89/16.23  																					| (960) all_0_96_96 = e1
% 46.89/16.23  																					|
% 46.89/16.23  																						| Equations (960) can reduce 279 to:
% 46.89/16.23  																						| (680)  ~ (all_0_95_95 = e1)
% 46.89/16.23  																						|
% 46.89/16.23  																						| Equations (960) can reduce 964 to:
% 46.89/16.23  																						| (683)  ~ (e3 = e1)
% 46.89/16.23  																						|
% 46.89/16.23  																						| Simplifying 683 yields:
% 46.89/16.23  																						| (20)  ~ (e3 = e1)
% 46.89/16.23  																						|
% 46.89/16.23  																						| Equations (960) can reduce 1638 to:
% 46.89/16.23  																						| (487)  ~ (e2 = e1)
% 46.89/16.23  																						|
% 46.89/16.23  																						| Simplifying 487 yields:
% 46.89/16.23  																						| (243)  ~ (e2 = e1)
% 46.89/16.23  																						|
% 46.89/16.23  																						| Equations (960) can reduce 2095 to:
% 46.89/16.23  																						| (264)  ~ (e1 = e0)
% 46.89/16.23  																						|
% 46.89/16.23  																						| From (960) and (212) follows:
% 46.89/16.23  																						| (15809) op(e2, e1) = all_0_58_58
% 46.89/16.23  																						|
% 46.89/16.23  																						+-Applying beta-rule and splitting (1602), into two cases.
% 46.89/16.23  																						|-Branch one:
% 46.89/16.23  																						| (457) all_0_79_79 = e1
% 46.89/16.23  																						|
% 46.89/16.23  																							| Combining equations (1708,457) yields a new equation:
% 46.89/16.23  																							| (825) e3 = e1
% 46.89/16.23  																							|
% 46.89/16.23  																							| Simplifying 825 yields:
% 46.89/16.23  																							| (772) e3 = e1
% 46.89/16.23  																							|
% 46.89/16.23  																							| Equations (772) can reduce 20 to:
% 46.89/16.23  																							| (311) $false
% 46.89/16.23  																							|
% 46.89/16.23  																							|-The branch is then unsatisfiable
% 46.89/16.23  																						|-Branch two:
% 46.89/16.23  																						| (461)  ~ (all_0_79_79 = e1)
% 46.89/16.23  																						| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 46.89/16.23  																						|
% 46.89/16.23  																							+-Applying beta-rule and splitting (188), into two cases.
% 46.89/16.23  																							|-Branch one:
% 46.89/16.23  																							| (676) all_0_78_78 = e1
% 46.89/16.23  																							|
% 46.89/16.23  																								| Combining equations (400,676) yields a new equation:
% 46.89/16.23  																								| (408) e2 = e1
% 46.89/16.23  																								|
% 46.89/16.23  																								| Simplifying 408 yields:
% 46.89/16.23  																								| (385) e2 = e1
% 46.89/16.23  																								|
% 46.89/16.23  																								| Equations (385) can reduce 243 to:
% 46.89/16.23  																								| (311) $false
% 46.89/16.23  																								|
% 46.89/16.23  																								|-The branch is then unsatisfiable
% 46.89/16.23  																							|-Branch two:
% 46.89/16.23  																							| (1601)  ~ (all_0_78_78 = e1)
% 46.89/16.23  																							| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 46.89/16.23  																							|
% 46.89/16.23  																								+-Applying beta-rule and splitting (1718), into two cases.
% 46.89/16.23  																								|-Branch one:
% 46.89/16.23  																								| (384) all_0_86_86 = e1
% 46.89/16.23  																								|
% 46.89/16.23  																									| Combining equations (378,384) yields a new equation:
% 46.89/16.23  																									| (865) e1 = e0
% 46.89/16.23  																									|
% 46.89/16.23  																									| Equations (865) can reduce 264 to:
% 46.89/16.23  																									| (311) $false
% 46.89/16.23  																									|
% 46.89/16.23  																									|-The branch is then unsatisfiable
% 46.89/16.23  																								|-Branch two:
% 46.89/16.23  																								| (387)  ~ (all_0_86_86 = e1)
% 46.89/16.23  																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 46.89/16.23  																								|
% 46.89/16.23  																									+-Applying beta-rule and splitting (8180), into two cases.
% 46.89/16.23  																									|-Branch one:
% 46.89/16.23  																									| (824) all_0_80_80 = e1
% 46.89/16.23  																									|
% 46.89/16.23  																										| Equations (824) can reduce 144 to:
% 46.89/16.23  																										| (1667)  ~ (all_0_81_81 = e1)
% 46.89/16.23  																										|
% 46.89/16.23  																										| Simplifying 1667 yields:
% 46.89/16.23  																										| (628)  ~ (all_0_81_81 = e1)
% 46.89/16.23  																										|
% 46.89/16.23  																										| Equations (824) can reduce 2347 to:
% 46.89/16.23  																										| (683)  ~ (e3 = e1)
% 46.89/16.23  																										|
% 46.89/16.23  																										| Simplifying 683 yields:
% 46.89/16.23  																										| (20)  ~ (e3 = e1)
% 46.89/16.23  																										|
% 46.89/16.23  																										+-Applying beta-rule and splitting (132), into two cases.
% 46.89/16.23  																										|-Branch one:
% 46.89/16.23  																										| (750) all_0_90_90 = e1
% 46.89/16.23  																										|
% 46.89/16.23  																											| Equations (750) can reduce 467 to:
% 46.89/16.23  																											| (681)  ~ (e4 = e1)
% 46.89/16.23  																											|
% 46.89/16.23  																											| Simplifying 681 yields:
% 46.89/16.23  																											| (256)  ~ (e4 = e1)
% 46.89/16.23  																											|
% 46.89/16.23  																											+-Applying beta-rule and splitting (641), into two cases.
% 46.89/16.23  																											|-Branch one:
% 46.89/16.23  																											| (433) all_0_80_80 = e4
% 47.01/16.23  																											|
% 47.01/16.23  																												| Combining equations (824,433) yields a new equation:
% 47.01/16.23  																												| (814) e4 = e1
% 47.01/16.23  																												|
% 47.01/16.23  																												| Equations (814) can reduce 256 to:
% 47.01/16.23  																												| (311) $false
% 47.01/16.23  																												|
% 47.01/16.23  																												|-The branch is then unsatisfiable
% 47.01/16.23  																											|-Branch two:
% 47.01/16.23  																											| (436)  ~ (all_0_80_80 = e4)
% 47.01/16.23  																											| (638) all_0_81_81 = e4
% 47.01/16.23  																											|
% 47.01/16.23  																												| Equations (638) can reduce 628 to:
% 47.01/16.23  																												| (256)  ~ (e4 = e1)
% 47.01/16.23  																												|
% 47.01/16.23  																												| Equations (638) can reduce 257 to:
% 47.01/16.23  																												| (23)  ~ (e4 = e0)
% 47.01/16.23  																												|
% 47.01/16.23  																												| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 47.01/16.23  																												| (11070) all_0_52_52 = e0
% 47.01/16.23  																												|
% 47.01/16.23  																												| Instantiating formula (262) with e2, e1, all_0_58_58, e2 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e2, yields:
% 47.01/16.23  																												| (15842) all_0_58_58 = e2
% 47.01/16.23  																												|
% 47.01/16.23  																												+-Applying beta-rule and splitting (33), into two cases.
% 47.01/16.23  																												|-Branch one:
% 47.01/16.23  																												| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.01/16.23  																												|
% 47.01/16.23  																													+-Applying beta-rule and splitting (1686), into two cases.
% 47.01/16.23  																													|-Branch one:
% 47.01/16.23  																													| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.01/16.23  																													|
% 47.01/16.23  																														+-Applying beta-rule and splitting (1687), into two cases.
% 47.01/16.23  																														|-Branch one:
% 47.01/16.23  																														| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.01/16.23  																														|
% 47.01/16.23  																															| Applying alpha-rule on (1688) yields:
% 47.01/16.23  																															| (1689) all_0_52_52 = e4
% 47.01/16.23  																															| (1690)  ~ (all_0_53_53 = e2)
% 47.01/16.23  																															|
% 47.01/16.23  																															| Combining equations (11070,1689) yields a new equation:
% 47.01/16.23  																															| (912) e4 = e0
% 47.01/16.23  																															|
% 47.01/16.23  																															| Equations (912) can reduce 23 to:
% 47.01/16.23  																															| (311) $false
% 47.01/16.23  																															|
% 47.01/16.23  																															|-The branch is then unsatisfiable
% 47.01/16.23  																														|-Branch two:
% 47.01/16.23  																														| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.01/16.23  																														|
% 47.01/16.23  																															| Applying alpha-rule on (1694) yields:
% 47.01/16.23  																															| (1695) all_0_54_54 = e3
% 47.01/16.23  																															| (1696)  ~ (all_0_55_55 = e2)
% 47.01/16.23  																															|
% 47.01/16.23  																															| Combining equations (11306,1695) yields a new equation:
% 47.01/16.23  																															| (772) e3 = e1
% 47.01/16.23  																															|
% 47.01/16.23  																															| Equations (772) can reduce 20 to:
% 47.01/16.23  																															| (311) $false
% 47.01/16.23  																															|
% 47.01/16.23  																															|-The branch is then unsatisfiable
% 47.01/16.23  																													|-Branch two:
% 47.01/16.23  																													| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.01/16.23  																													|
% 47.01/16.23  																														| Applying alpha-rule on (1700) yields:
% 47.01/16.23  																														| (1701) all_0_56_56 = e1
% 47.01/16.23  																														| (1702)  ~ (all_0_57_57 = e2)
% 47.01/16.23  																														|
% 47.01/16.23  																														| Combining equations (37236,1701) yields a new equation:
% 47.01/16.23  																														| (813) e4 = e1
% 47.01/16.23  																														|
% 47.01/16.23  																														| Simplifying 813 yields:
% 47.01/16.23  																														| (814) e4 = e1
% 47.01/16.23  																														|
% 47.01/16.23  																														| Equations (814) can reduce 256 to:
% 47.01/16.23  																														| (311) $false
% 47.01/16.23  																														|
% 47.01/16.23  																														|-The branch is then unsatisfiable
% 47.01/16.23  																												|-Branch two:
% 47.01/16.23  																												| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.01/16.23  																												|
% 47.01/16.23  																													| Applying alpha-rule on (4957) yields:
% 47.01/16.23  																													| (4958) all_0_58_58 = e0
% 47.01/16.23  																													| (4959)  ~ (all_0_59_59 = e2)
% 47.01/16.23  																													|
% 47.01/16.23  																													| Combining equations (15842,4958) yields a new equation:
% 47.01/16.23  																													| (923) e2 = e0
% 47.01/16.23  																													|
% 47.01/16.23  																													| Simplifying 923 yields:
% 47.01/16.23  																													| (379) e2 = e0
% 47.01/16.23  																													|
% 47.01/16.23  																													| Equations (379) can reduce 76 to:
% 47.01/16.23  																													| (311) $false
% 47.01/16.23  																													|
% 47.01/16.23  																													|-The branch is then unsatisfiable
% 47.01/16.23  																										|-Branch two:
% 47.01/16.23  																										| (678)  ~ (all_0_90_90 = e1)
% 47.01/16.23  																										| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.01/16.23  																										|
% 47.01/16.23  																											+-Applying beta-rule and splitting (2122), into two cases.
% 47.01/16.23  																											|-Branch one:
% 47.01/16.23  																											| (750) all_0_90_90 = e1
% 47.01/16.23  																											|
% 47.01/16.23  																												| Equations (750) can reduce 678 to:
% 47.01/16.23  																												| (311) $false
% 47.01/16.23  																												|
% 47.01/16.23  																												|-The branch is then unsatisfiable
% 47.01/16.23  																											|-Branch two:
% 47.01/16.24  																											| (678)  ~ (all_0_90_90 = e1)
% 47.01/16.24  																											| (785) all_0_95_95 = e1
% 47.01/16.24  																											|
% 47.01/16.24  																												| Equations (785) can reduce 680 to:
% 47.01/16.24  																												| (311) $false
% 47.01/16.24  																												|
% 47.01/16.24  																												|-The branch is then unsatisfiable
% 47.01/16.24  																									|-Branch two:
% 47.01/16.24  																									| (828)  ~ (all_0_80_80 = e1)
% 47.01/16.24  																									| (477) all_0_81_81 = e1
% 47.01/16.24  																									|
% 47.01/16.24  																										| Equations (477) can reduce 628 to:
% 47.01/16.24  																										| (311) $false
% 47.01/16.24  																										|
% 47.01/16.24  																										|-The branch is then unsatisfiable
% 47.01/16.24  																	|-Branch two:
% 47.01/16.24  																	| (1314)  ~ (all_0_83_83 = e0)
% 47.01/16.24  																	| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.01/16.24  																	|
% 47.01/16.24  																		+-Applying beta-rule and splitting (456), into two cases.
% 47.01/16.24  																		|-Branch one:
% 47.01/16.24  																		| (795) all_0_83_83 = e3
% 47.01/16.24  																		|
% 47.01/16.24  																			| Equations (795) can reduce 272 to:
% 47.01/16.24  																			| (1711)  ~ (all_0_79_79 = e3)
% 47.01/16.24  																			|
% 47.01/16.24  																			| Equations (795) can reduce 116 to:
% 47.01/16.24  																			| (793)  ~ (all_0_82_82 = e3)
% 47.01/16.24  																			|
% 47.01/16.24  																			| Equations (795) can reduce 223 to:
% 47.01/16.24  																			| (421)  ~ (all_0_84_84 = e3)
% 47.01/16.24  																			|
% 47.01/16.24  																			| Simplifying 421 yields:
% 47.01/16.24  																			| (422)  ~ (all_0_84_84 = e3)
% 47.01/16.24  																			|
% 47.01/16.24  																			| From (795) and (206) follows:
% 47.01/16.24  																			| (8280) op(e2, e3) = all_0_54_54
% 47.01/16.24  																			|
% 47.01/16.24  																			+-Applying beta-rule and splitting (1623), into two cases.
% 47.01/16.24  																			|-Branch one:
% 47.01/16.24  																			| (457) all_0_79_79 = e1
% 47.01/16.24  																			|
% 47.01/16.24  																				| Equations (457) can reduce 214 to:
% 47.01/16.24  																				| (1671)  ~ (all_0_96_96 = e1)
% 47.01/16.24  																				|
% 47.01/16.24  																				| Simplifying 1671 yields:
% 47.01/16.24  																				| (1479)  ~ (all_0_96_96 = e1)
% 47.01/16.24  																				|
% 47.01/16.24  																				| From (457) and (184) follows:
% 47.01/16.24  																				| (1679) op(e2, e1) = all_0_52_52
% 47.01/16.24  																				|
% 47.01/16.24  																				+-Applying beta-rule and splitting (84), into two cases.
% 47.01/16.24  																				|-Branch one:
% 47.01/16.24  																				| (1704) all_0_96_96 = e2
% 47.01/16.24  																				|
% 47.01/16.24  																					| Equations (1704) can reduce 1638 to:
% 47.01/16.24  																					| (311) $false
% 47.01/16.24  																					|
% 47.01/16.24  																					|-The branch is then unsatisfiable
% 47.01/16.24  																				|-Branch two:
% 47.01/16.24  																				| (1638)  ~ (all_0_96_96 = e2)
% 47.01/16.24  																				| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.01/16.24  																				|
% 47.01/16.24  																					+-Applying beta-rule and splitting (1400), into two cases.
% 47.01/16.24  																					|-Branch one:
% 47.01/16.24  																					| (1456) all_0_91_91 = e0
% 47.01/16.24  																					|
% 47.01/16.24  																						| Combining equations (1723,1456) yields a new equation:
% 47.01/16.24  																						| (923) e2 = e0
% 47.01/16.24  																						|
% 47.01/16.24  																						| Simplifying 923 yields:
% 47.01/16.24  																						| (379) e2 = e0
% 47.01/16.24  																						|
% 47.01/16.24  																						| Equations (379) can reduce 76 to:
% 47.01/16.24  																						| (311) $false
% 47.01/16.24  																						|
% 47.01/16.24  																						|-The branch is then unsatisfiable
% 47.01/16.24  																					|-Branch two:
% 47.01/16.24  																					| (1487)  ~ (all_0_91_91 = e0)
% 47.01/16.24  																					| (1837) all_0_96_96 = e0
% 47.01/16.24  																					|
% 47.01/16.24  																						| Equations (1837) can reduce 22 to:
% 47.01/16.24  																						| (938)  ~ (all_0_97_97 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Simplifying 938 yields:
% 47.01/16.24  																						| (609)  ~ (all_0_97_97 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Equations (1837) can reduce 43 to:
% 47.01/16.24  																						| (2058)  ~ (all_0_98_98 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Simplifying 2058 yields:
% 47.01/16.24  																						| (2059)  ~ (all_0_98_98 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Equations (1837) can reduce 1638 to:
% 47.01/16.24  																						| (510)  ~ (e2 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Simplifying 510 yields:
% 47.01/16.24  																						| (76)  ~ (e2 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Equations (1837) can reduce 1479 to:
% 47.01/16.24  																						| (859)  ~ (e1 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| Simplifying 859 yields:
% 47.01/16.24  																						| (264)  ~ (e1 = e0)
% 47.01/16.24  																						|
% 47.01/16.24  																						| From (1837) and (212) follows:
% 47.01/16.24  																						| (10932) op(e2, e0) = all_0_58_58
% 47.01/16.24  																						|
% 47.01/16.24  																						+-Applying beta-rule and splitting (289), into two cases.
% 47.01/16.24  																						|-Branch one:
% 47.01/16.24  																						| (954) all_0_85_85 = e0
% 47.01/16.24  																						|
% 47.01/16.24  																							| Combining equations (512,954) yields a new equation:
% 47.01/16.24  																							| (923) e2 = e0
% 47.01/16.24  																							|
% 47.01/16.24  																							| Simplifying 923 yields:
% 47.01/16.24  																							| (379) e2 = e0
% 47.01/16.24  																							|
% 47.01/16.24  																							| Equations (379) can reduce 76 to:
% 47.01/16.24  																							| (311) $false
% 47.01/16.24  																							|
% 47.01/16.24  																							|-The branch is then unsatisfiable
% 47.01/16.24  																						|-Branch two:
% 47.01/16.24  																						| (800)  ~ (all_0_85_85 = e0)
% 47.01/16.24  																						| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.01/16.24  																						|
% 47.01/16.24  																							+-Applying beta-rule and splitting (10), into two cases.
% 47.01/16.24  																							|-Branch one:
% 47.01/16.24  																							| (530) all_0_82_82 = e2
% 47.01/16.24  																							|
% 47.01/16.24  																								| Equations (530) can reduce 347 to:
% 47.01/16.24  																								| (311) $false
% 47.01/16.24  																								|
% 47.01/16.24  																								|-The branch is then unsatisfiable
% 47.01/16.24  																							|-Branch two:
% 47.01/16.24  																							| (347)  ~ (all_0_82_82 = e2)
% 47.01/16.24  																							| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.01/16.24  																							|
% 47.01/16.24  																								+-Applying beta-rule and splitting (1077), into two cases.
% 47.01/16.24  																								|-Branch one:
% 47.01/16.24  																								| (507) all_0_88_88 = e0
% 47.01/16.24  																								|
% 47.01/16.24  																									| Combining equations (504,507) yields a new equation:
% 47.01/16.24  																									| (1107) e1 = e0
% 47.01/16.24  																									|
% 47.01/16.24  																									| Simplifying 1107 yields:
% 47.01/16.24  																									| (865) e1 = e0
% 47.01/16.24  																									|
% 47.01/16.24  																									| Equations (865) can reduce 264 to:
% 47.01/16.24  																									| (311) $false
% 47.01/16.24  																									|
% 47.01/16.24  																									|-The branch is then unsatisfiable
% 47.01/16.24  																								|-Branch two:
% 47.01/16.24  																								| (1110)  ~ (all_0_88_88 = e0)
% 47.01/16.24  																								| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.01/16.24  																								|
% 47.01/16.24  																									+-Applying beta-rule and splitting (2205), into two cases.
% 47.01/16.24  																									|-Branch one:
% 47.01/16.24  																									| (789) all_0_82_82 = e3
% 47.01/16.24  																									|
% 47.01/16.24  																										| Equations (789) can reduce 793 to:
% 47.01/16.24  																										| (311) $false
% 47.01/16.24  																										|
% 47.01/16.24  																										|-The branch is then unsatisfiable
% 47.01/16.24  																									|-Branch two:
% 47.01/16.24  																									| (793)  ~ (all_0_82_82 = e3)
% 47.01/16.24  																									| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 47.01/16.24  																									|
% 47.01/16.24  																										+-Applying beta-rule and splitting (1111), into two cases.
% 47.01/16.24  																										|-Branch one:
% 47.01/16.24  																										| (604) all_0_93_93 = e0
% 47.01/16.24  																										|
% 47.01/16.24  																											| Equations (604) can reduce 283 to:
% 47.01/16.24  																											| (946)  ~ (all_0_92_92 = e0)
% 47.01/16.24  																											|
% 47.01/16.24  																											| Equations (604) can reduce 300 to:
% 47.01/16.24  																											| (510)  ~ (e2 = e0)
% 47.01/16.24  																											|
% 47.01/16.24  																											| Simplifying 510 yields:
% 47.01/16.24  																											| (76)  ~ (e2 = e0)
% 47.01/16.24  																											|
% 47.01/16.24  																											+-Applying beta-rule and splitting (2), into two cases.
% 47.01/16.24  																											|-Branch one:
% 47.01/16.24  																											| (916) all_0_84_84 = e0
% 47.01/16.24  																											|
% 47.01/16.24  																												| Equations (916) can reduce 7 to:
% 47.01/16.24  																												| (914)  ~ (all_0_82_82 = e0)
% 47.01/16.24  																												|
% 47.01/16.24  																												| Equations (916) can reduce 422 to:
% 47.01/16.24  																												| (906)  ~ (e3 = e0)
% 47.01/16.24  																												|
% 47.01/16.24  																												| Simplifying 906 yields:
% 47.01/16.24  																												| (50)  ~ (e3 = e0)
% 47.01/16.24  																												|
% 47.01/16.24  																												| Equations (916) can reduce 259 to:
% 47.01/16.24  																												| (859)  ~ (e1 = e0)
% 47.01/16.24  																												|
% 47.01/16.24  																												| Simplifying 859 yields:
% 47.01/16.24  																												| (264)  ~ (e1 = e0)
% 47.01/16.24  																												|
% 47.01/16.24  																												+-Applying beta-rule and splitting (109), into two cases.
% 47.01/16.24  																												|-Branch one:
% 47.01/16.24  																												| (469) all_0_82_82 = e4
% 47.01/16.24  																												|
% 47.01/16.24  																													| Equations (469) can reduce 347 to:
% 47.01/16.24  																													| (79)  ~ (e4 = e2)
% 47.01/16.24  																													|
% 47.01/16.24  																													| Equations (469) can reduce 198 to:
% 47.01/16.24  																													| (256)  ~ (e4 = e1)
% 47.01/16.24  																													|
% 47.01/16.24  																													| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 47.01/16.24  																													| (12243) all_0_54_54 = e0
% 47.01/16.24  																													|
% 47.01/16.24  																													| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 47.01/16.24  																													| (10960) all_0_52_52 = e2
% 47.01/16.24  																													|
% 47.01/16.24  																													| Instantiating formula (262) with e2, e0, all_0_58_58, e1 and discharging atoms op(e2, e0) = all_0_58_58, op(e2, e0) = e1, yields:
% 47.01/16.24  																													| (10941) all_0_58_58 = e1
% 47.01/16.24  																													|
% 47.01/16.24  																													+-Applying beta-rule and splitting (33), into two cases.
% 47.01/16.24  																													|-Branch one:
% 47.01/16.24  																													| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.01/16.24  																													|
% 47.01/16.24  																														+-Applying beta-rule and splitting (1686), into two cases.
% 47.01/16.24  																														|-Branch one:
% 47.01/16.24  																														| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.01/16.24  																														|
% 47.01/16.24  																															+-Applying beta-rule and splitting (1687), into two cases.
% 47.01/16.24  																															|-Branch one:
% 47.01/16.24  																															| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.01/16.24  																															|
% 47.01/16.24  																																| Applying alpha-rule on (1688) yields:
% 47.01/16.24  																																| (1689) all_0_52_52 = e4
% 47.01/16.24  																																| (1690)  ~ (all_0_53_53 = e2)
% 47.01/16.24  																																|
% 47.01/16.24  																																| Combining equations (1689,10960) yields a new equation:
% 47.01/16.24  																																| (309) e4 = e2
% 47.01/16.24  																																|
% 47.01/16.24  																																| Simplifying 309 yields:
% 47.01/16.24  																																| (310) e4 = e2
% 47.01/16.24  																																|
% 47.01/16.24  																																| Equations (310) can reduce 79 to:
% 47.01/16.24  																																| (311) $false
% 47.01/16.24  																																|
% 47.01/16.24  																																|-The branch is then unsatisfiable
% 47.01/16.24  																															|-Branch two:
% 47.01/16.24  																															| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.01/16.24  																															|
% 47.01/16.24  																																| Applying alpha-rule on (1694) yields:
% 47.01/16.24  																																| (1695) all_0_54_54 = e3
% 47.01/16.24  																																| (1696)  ~ (all_0_55_55 = e2)
% 47.01/16.24  																																|
% 47.01/16.24  																																| Combining equations (12243,1695) yields a new equation:
% 47.01/16.24  																																| (600) e3 = e0
% 47.01/16.24  																																|
% 47.01/16.24  																																| Equations (600) can reduce 50 to:
% 47.01/16.24  																																| (311) $false
% 47.01/16.24  																																|
% 47.01/16.24  																																|-The branch is then unsatisfiable
% 47.01/16.24  																														|-Branch two:
% 47.01/16.24  																														| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.01/16.24  																														|
% 47.01/16.24  																															| Applying alpha-rule on (1700) yields:
% 47.01/16.24  																															| (1701) all_0_56_56 = e1
% 47.01/16.24  																															| (1702)  ~ (all_0_57_57 = e2)
% 47.01/16.24  																															|
% 47.01/16.24  																															| Combining equations (37236,1701) yields a new equation:
% 47.01/16.24  																															| (813) e4 = e1
% 47.01/16.24  																															|
% 47.01/16.24  																															| Simplifying 813 yields:
% 47.01/16.24  																															| (814) e4 = e1
% 47.01/16.24  																															|
% 47.01/16.24  																															| Equations (814) can reduce 256 to:
% 47.01/16.24  																															| (311) $false
% 47.01/16.24  																															|
% 47.01/16.24  																															|-The branch is then unsatisfiable
% 47.01/16.24  																													|-Branch two:
% 47.01/16.24  																													| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.01/16.24  																													|
% 47.01/16.24  																														| Applying alpha-rule on (4957) yields:
% 47.01/16.24  																														| (4958) all_0_58_58 = e0
% 47.01/16.24  																														| (4959)  ~ (all_0_59_59 = e2)
% 47.01/16.24  																														|
% 47.01/16.25  																														| Combining equations (10941,4958) yields a new equation:
% 47.01/16.25  																														| (1107) e1 = e0
% 47.01/16.25  																														|
% 47.01/16.25  																														| Simplifying 1107 yields:
% 47.01/16.25  																														| (865) e1 = e0
% 47.01/16.25  																														|
% 47.01/16.25  																														| Equations (865) can reduce 264 to:
% 47.01/16.25  																														| (311) $false
% 47.01/16.25  																														|
% 47.01/16.25  																														|-The branch is then unsatisfiable
% 47.01/16.25  																												|-Branch two:
% 47.01/16.25  																												| (465)  ~ (all_0_82_82 = e4)
% 47.01/16.25  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.01/16.25  																												|
% 47.01/16.25  																													+-Applying beta-rule and splitting (2706), into two cases.
% 47.01/16.25  																													|-Branch one:
% 47.01/16.25  																													| (910) all_0_82_82 = e0
% 47.01/16.25  																													|
% 47.01/16.25  																														| Equations (910) can reduce 914 to:
% 47.01/16.25  																														| (311) $false
% 47.01/16.25  																														|
% 47.01/16.25  																														|-The branch is then unsatisfiable
% 47.01/16.25  																													|-Branch two:
% 47.01/16.25  																													| (914)  ~ (all_0_82_82 = e0)
% 47.01/16.25  																													| (469) all_0_82_82 = e4
% 47.01/16.25  																													|
% 47.01/16.25  																														| Equations (469) can reduce 465 to:
% 47.01/16.25  																														| (311) $false
% 47.01/16.25  																														|
% 47.01/16.25  																														|-The branch is then unsatisfiable
% 47.01/16.25  																											|-Branch two:
% 47.01/16.25  																											| (919)  ~ (all_0_84_84 = e0)
% 47.01/16.25  																											| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.01/16.25  																											|
% 47.01/16.25  																												+-Applying beta-rule and splitting (920), into two cases.
% 47.01/16.25  																												|-Branch one:
% 47.01/16.25  																												| (861) all_0_87_87 = e0
% 47.01/16.25  																												|
% 47.01/16.25  																													| Combining equations (374,861) yields a new equation:
% 47.01/16.25  																													| (923) e2 = e0
% 47.01/16.25  																													|
% 47.01/16.25  																													| Simplifying 923 yields:
% 47.01/16.25  																													| (379) e2 = e0
% 47.01/16.25  																													|
% 47.01/16.25  																													| Equations (379) can reduce 76 to:
% 47.01/16.25  																													| (311) $false
% 47.01/16.25  																													|
% 47.01/16.25  																													|-The branch is then unsatisfiable
% 47.01/16.25  																												|-Branch two:
% 47.01/16.25  																												| (889)  ~ (all_0_87_87 = e0)
% 47.01/16.25  																												| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.01/16.25  																												|
% 47.01/16.25  																													+-Applying beta-rule and splitting (931), into two cases.
% 47.01/16.25  																													|-Branch one:
% 47.01/16.25  																													| (942) all_0_92_92 = e0
% 47.01/16.25  																													|
% 47.01/16.25  																														| Equations (942) can reduce 946 to:
% 47.01/16.25  																														| (311) $false
% 47.01/16.25  																														|
% 47.01/16.25  																														|-The branch is then unsatisfiable
% 47.01/16.25  																													|-Branch two:
% 47.01/16.25  																													| (946)  ~ (all_0_92_92 = e0)
% 47.01/16.25  																													| (560) all_0_97_97 = e0
% 47.01/16.25  																													|
% 47.01/16.25  																														| Equations (560) can reduce 609 to:
% 47.01/16.25  																														| (311) $false
% 47.01/16.25  																														|
% 47.01/16.25  																														|-The branch is then unsatisfiable
% 47.01/16.25  																										|-Branch two:
% 47.01/16.25  																										| (509)  ~ (all_0_93_93 = e0)
% 47.01/16.25  																										| (1121) all_0_98_98 = e0
% 47.01/16.25  																										|
% 47.01/16.25  																											| Equations (1121) can reduce 2059 to:
% 47.01/16.25  																											| (311) $false
% 47.01/16.25  																											|
% 47.01/16.25  																											|-The branch is then unsatisfiable
% 47.01/16.25  																			|-Branch two:
% 47.01/16.25  																			| (461)  ~ (all_0_79_79 = e1)
% 47.01/16.25  																			| (1708) all_0_79_79 = e3
% 47.01/16.25  																			|
% 47.01/16.25  																				| Equations (1708) can reduce 1711 to:
% 47.01/16.25  																				| (311) $false
% 47.01/16.25  																				|
% 47.01/16.25  																				|-The branch is then unsatisfiable
% 47.01/16.25  																		|-Branch two:
% 47.01/16.25  																		| (779)  ~ (all_0_83_83 = e3)
% 47.01/16.25  																		| (798) all_0_83_83 = e0
% 47.01/16.25  																		|
% 47.01/16.25  																			| Equations (798) can reduce 1314 to:
% 47.01/16.25  																			| (311) $false
% 47.01/16.25  																			|
% 47.01/16.25  																			|-The branch is then unsatisfiable
% 47.01/16.25  																|-Branch two:
% 47.01/16.25  																| (296)  ~ (all_0_91_91 = e2)
% 47.01/16.25  																| (1704) all_0_96_96 = e2
% 47.01/16.25  																|
% 47.01/16.25  																	| Equations (1704) can reduce 1638 to:
% 47.01/16.25  																	| (311) $false
% 47.01/16.25  																	|
% 47.01/16.25  																	|-The branch is then unsatisfiable
% 47.01/16.25  									|-Branch two:
% 47.01/16.25  									| (346)  ~ (all_0_78_78 = e2)
% 47.01/16.25  									| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.01/16.25  									|
% 47.01/16.25  										+-Applying beta-rule and splitting (101), into two cases.
% 47.01/16.25  										|-Branch one:
% 47.01/16.25  										| (400) all_0_78_78 = e2
% 47.01/16.25  										|
% 47.01/16.25  											| Equations (400) can reduce 346 to:
% 47.01/16.25  											| (311) $false
% 47.01/16.25  											|
% 47.01/16.25  											|-The branch is then unsatisfiable
% 47.01/16.25  										|-Branch two:
% 47.01/16.25  										| (346)  ~ (all_0_78_78 = e2)
% 47.01/16.25  										| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.01/16.25  										|
% 47.01/16.25  											+-Applying beta-rule and splitting (403), into two cases.
% 47.01/16.25  											|-Branch one:
% 47.01/16.25  											| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.01/16.25  											|
% 47.01/16.25  												+-Applying beta-rule and splitting (404), into two cases.
% 47.01/16.25  												|-Branch one:
% 47.01/16.25  												| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.01/16.25  												|
% 47.01/16.25  													| Applying alpha-rule on (405) yields:
% 47.01/16.25  													| (406) all_0_39_39 = e1
% 47.01/16.25  													| (407)  ~ (all_0_40_40 = e4)
% 47.01/16.25  													|
% 47.01/16.25  													| Combining equations (406,30566) yields a new equation:
% 47.01/16.25  													| (1107) e1 = e0
% 47.01/16.25  													|
% 47.01/16.25  													| Simplifying 1107 yields:
% 47.01/16.25  													| (865) e1 = e0
% 47.01/16.25  													|
% 47.01/16.25  													| Equations (865) can reduce 264 to:
% 47.01/16.25  													| (311) $false
% 47.01/16.25  													|
% 47.01/16.25  													|-The branch is then unsatisfiable
% 47.01/16.25  												|-Branch two:
% 47.01/16.25  												| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.01/16.25  												|
% 47.01/16.25  													| Applying alpha-rule on (411) yields:
% 47.01/16.25  													| (337) all_0_41_41 = e0
% 47.01/16.25  													| (413)  ~ (all_0_42_42 = e4)
% 47.01/16.25  													|
% 47.01/16.25  													| Combining equations (30560,337) yields a new equation:
% 47.01/16.25  													| (37985) all_0_79_79 = e0
% 47.01/16.25  													|
% 47.01/16.25  													| Simplifying 37985 yields:
% 47.01/16.25  													| (37986) all_0_79_79 = e0
% 47.01/16.25  													|
% 47.01/16.25  													| Equations (37986) can reduce 9 to:
% 47.01/16.25  													| (311) $false
% 47.01/16.25  													|
% 47.01/16.25  													|-The branch is then unsatisfiable
% 47.01/16.25  											|-Branch two:
% 47.01/16.25  											| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.01/16.25  											|
% 47.01/16.25  												| Applying alpha-rule on (415) yields:
% 47.01/16.25  												| (416) all_0_80_80 = e3
% 47.01/16.25  												| (417)  ~ (all_0_84_84 = e4)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 67 to:
% 47.01/16.25  												| (418)  ~ (all_0_78_78 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 63 to:
% 47.01/16.25  												| (1711)  ~ (all_0_79_79 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 144 to:
% 47.01/16.25  												| (419)  ~ (all_0_81_81 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Simplifying 419 yields:
% 47.01/16.25  												| (420)  ~ (all_0_81_81 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 273 to:
% 47.01/16.25  												| (421)  ~ (all_0_84_84 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Simplifying 421 yields:
% 47.01/16.25  												| (422)  ~ (all_0_84_84 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 49 to:
% 47.01/16.25  												| (425)  ~ (all_0_92_92 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Simplifying 425 yields:
% 47.01/16.25  												| (426)  ~ (all_0_92_92 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Equations (416) can reduce 202 to:
% 47.01/16.25  												| (427)  ~ (all_0_97_97 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| Simplifying 427 yields:
% 47.01/16.25  												| (428)  ~ (all_0_97_97 = e3)
% 47.01/16.25  												|
% 47.01/16.25  												| From (416) and (39) follows:
% 47.01/16.25  												| (10591) op(e4, e3) = all_0_61_61
% 47.01/16.25  												|
% 47.01/16.25  												| From (416) and (281) follows:
% 47.01/16.26  												| (30622) op(e4, e1) = e3
% 47.01/16.26  												|
% 47.01/16.26  												| From (416) and (233) follows:
% 47.01/16.26  												| (432) op(e1, e3) = all_0_60_60
% 47.01/16.26  												|
% 47.01/16.26  												+-Applying beta-rule and splitting (1623), into two cases.
% 47.01/16.26  												|-Branch one:
% 47.01/16.26  												| (457) all_0_79_79 = e1
% 47.01/16.26  												|
% 47.01/16.26  													| Equations (457) can reduce 66 to:
% 47.01/16.26  													| (1601)  ~ (all_0_78_78 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Equations (457) can reduce 15 to:
% 47.01/16.26  													| (1667)  ~ (all_0_81_81 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Simplifying 1667 yields:
% 47.01/16.26  													| (628)  ~ (all_0_81_81 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Equations (457) can reduce 272 to:
% 47.01/16.26  													| (11487)  ~ (all_0_83_83 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Simplifying 11487 yields:
% 47.01/16.26  													| (113)  ~ (all_0_83_83 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Equations (457) can reduce 17 to:
% 47.01/16.26  													| (1669)  ~ (all_0_91_91 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Simplifying 1669 yields:
% 47.01/16.26  													| (959)  ~ (all_0_91_91 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Equations (457) can reduce 214 to:
% 47.01/16.26  													| (1671)  ~ (all_0_96_96 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| Simplifying 1671 yields:
% 47.01/16.26  													| (1479)  ~ (all_0_96_96 = e1)
% 47.01/16.26  													|
% 47.01/16.26  													| From (457) and (178) follows:
% 47.01/16.26  													| (1676) op(e1, e4) = all_0_2_2
% 47.01/16.26  													|
% 47.01/16.26  													| From (457) and (190) follows:
% 47.01/16.26  													| (38015) op(e4, e1) = all_0_53_53
% 47.01/16.26  													|
% 47.01/16.26  													| From (457) and (267) follows:
% 47.01/16.26  													| (1678) op(e4, e2) = e1
% 47.01/16.26  													|
% 47.01/16.26  													+-Applying beta-rule and splitting (92), into two cases.
% 47.01/16.26  													|-Branch one:
% 47.01/16.26  													| (552) all_0_84_84 = e2
% 47.01/16.26  													|
% 47.01/16.26  														| Equations (552) can reduce 612 to:
% 47.01/16.26  														| (311) $false
% 47.01/16.26  														|
% 47.01/16.26  														|-The branch is then unsatisfiable
% 47.01/16.26  													|-Branch two:
% 47.01/16.26  													| (612)  ~ (all_0_84_84 = e2)
% 47.01/16.26  													| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.01/16.26  													|
% 47.01/16.26  														+-Applying beta-rule and splitting (24), into two cases.
% 47.01/16.26  														|-Branch one:
% 47.01/16.26  														| (400) all_0_78_78 = e2
% 47.01/16.26  														|
% 47.01/16.26  															| Equations (400) can reduce 346 to:
% 47.01/16.26  															| (311) $false
% 47.01/16.26  															|
% 47.01/16.26  															|-The branch is then unsatisfiable
% 47.01/16.26  														|-Branch two:
% 47.01/16.26  														| (346)  ~ (all_0_78_78 = e2)
% 47.01/16.26  														| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 47.01/16.26  														|
% 47.01/16.26  															+-Applying beta-rule and splitting (675), into two cases.
% 47.01/16.26  															|-Branch one:
% 47.01/16.26  															| (676) all_0_78_78 = e1
% 47.01/16.26  															|
% 47.01/16.26  																| Equations (676) can reduce 1601 to:
% 47.01/16.26  																| (311) $false
% 47.01/16.26  																|
% 47.01/16.26  																|-The branch is then unsatisfiable
% 47.01/16.26  															|-Branch two:
% 47.01/16.26  															| (1601)  ~ (all_0_78_78 = e1)
% 47.01/16.26  															| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 47.01/16.26  															|
% 47.01/16.26  																+-Applying beta-rule and splitting (1606), into two cases.
% 47.01/16.26  																|-Branch one:
% 47.01/16.26  																| (771) all_0_78_78 = e3
% 47.01/16.26  																|
% 47.01/16.26  																	| Equations (771) can reduce 418 to:
% 47.01/16.26  																	| (311) $false
% 47.01/16.26  																	|
% 47.01/16.26  																	|-The branch is then unsatisfiable
% 47.01/16.26  																|-Branch two:
% 47.01/16.26  																| (418)  ~ (all_0_78_78 = e3)
% 47.01/16.26  																| (463) all_0_78_78 = e4
% 47.01/16.26  																|
% 47.01/16.26  																	| Equations (463) can reduce 193 to:
% 47.01/16.26  																	| (464)  ~ (all_0_82_82 = e4)
% 47.01/16.26  																	|
% 47.01/16.26  																	| Simplifying 464 yields:
% 47.01/16.26  																	| (465)  ~ (all_0_82_82 = e4)
% 47.01/16.26  																	|
% 47.01/16.26  																	| Equations (463) can reduce 85 to:
% 47.01/16.26  																	| (466)  ~ (all_0_90_90 = e4)
% 47.01/16.26  																	|
% 47.01/16.26  																	| Simplifying 466 yields:
% 47.01/16.26  																	| (467)  ~ (all_0_90_90 = e4)
% 47.01/16.26  																	|
% 47.01/16.26  																	| Equations (463) can reduce 418 to:
% 47.01/16.26  																	| (177)  ~ (e4 = e3)
% 47.01/16.26  																	|
% 47.01/16.26  																	| From (463) and (136) follows:
% 47.01/16.26  																	| (38038) op(e4, e3) = all_0_1_1
% 47.01/16.26  																	|
% 47.01/16.26  																	| From (463) and (263) follows:
% 47.01/16.26  																	| (4757) op(e4, e3) = e4
% 47.01/16.26  																	|
% 47.01/16.26  																	+-Applying beta-rule and splitting (109), into two cases.
% 47.01/16.26  																	|-Branch one:
% 47.01/16.26  																	| (469) all_0_82_82 = e4
% 47.01/16.26  																	|
% 47.01/16.26  																		| Equations (469) can reduce 465 to:
% 47.01/16.26  																		| (311) $false
% 47.01/16.26  																		|
% 47.01/16.26  																		|-The branch is then unsatisfiable
% 47.01/16.26  																	|-Branch two:
% 47.01/16.26  																	| (465)  ~ (all_0_82_82 = e4)
% 47.01/16.26  																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.01/16.26  																	|
% 47.01/16.26  																		+-Applying beta-rule and splitting (472), into two cases.
% 47.01/16.26  																		|-Branch one:
% 47.01/16.26  																		| (438) all_0_84_84 = e4
% 47.01/16.26  																		|
% 47.01/16.26  																			| Equations (438) can reduce 417 to:
% 47.01/16.26  																			| (311) $false
% 47.01/16.26  																			|
% 47.01/16.26  																			|-The branch is then unsatisfiable
% 47.01/16.26  																		|-Branch two:
% 47.01/16.26  																		| (417)  ~ (all_0_84_84 = e4)
% 47.01/16.26  																		| (493) all_0_85_85 = e4
% 47.01/16.26  																		|
% 47.01/16.26  																			| Equations (493) can reduce 118 to:
% 47.01/16.26  																			| (634)  ~ (all_0_81_81 = e4)
% 47.01/16.26  																			|
% 47.01/16.26  																			| Equations (493) can reduce 226 to:
% 47.01/16.26  																			| (155)  ~ (all_0_83_83 = e4)
% 47.01/16.26  																			|
% 47.01/16.26  																			| Equations (493) can reduce 154 to:
% 47.01/16.26  																			| (417)  ~ (all_0_84_84 = e4)
% 47.01/16.26  																			|
% 47.01/16.26  																			| Equations (493) can reduce 201 to:
% 47.01/16.26  																			| (495)  ~ (all_0_93_93 = e4)
% 47.01/16.26  																			|
% 47.01/16.26  																			| Simplifying 495 yields:
% 47.01/16.26  																			| (496)  ~ (all_0_93_93 = e4)
% 47.01/16.26  																			|
% 47.01/16.26  																			| Equations (493) can reduce 128 to:
% 47.01/16.26  																			| (256)  ~ (e4 = e1)
% 47.01/16.26  																			|
% 47.01/16.26  																			| From (493) and (12) follows:
% 47.01/16.26  																			| (23449) op(e4, e3) = all_0_13_13
% 47.01/16.26  																			|
% 47.01/16.26  																			| From (493) and (8) follows:
% 47.01/16.26  																			| (4406) op(e3, e0) = e4
% 47.01/16.26  																			|
% 47.01/16.26  																			| From (493) and (26) follows:
% 47.01/16.26  																			| (2742) op(e0, e4) = all_0_71_71
% 47.01/16.26  																			|
% 47.01/16.26  																			+-Applying beta-rule and splitting (123), into two cases.
% 47.01/16.26  																			|-Branch one:
% 47.01/16.26  																			| (473) all_0_81_81 = e2
% 47.01/16.26  																			|
% 47.01/16.26  																				| Equations (473) can reduce 277 to:
% 47.01/16.26  																				| (299)  ~ (all_0_93_93 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| Simplifying 299 yields:
% 47.01/16.26  																				| (300)  ~ (all_0_93_93 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| Equations (473) can reduce 5 to:
% 47.01/16.26  																				| (1348)  ~ (all_0_98_98 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| Simplifying 1348 yields:
% 47.01/16.26  																				| (1349)  ~ (all_0_98_98 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| Equations (473) can reduce 420 to:
% 47.01/16.26  																				| (356)  ~ (e3 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| Simplifying 356 yields:
% 47.01/16.26  																				| (169)  ~ (e3 = e2)
% 47.01/16.26  																				|
% 47.01/16.26  																				| From (473) and (19) follows:
% 47.01/16.26  																				| (4042) op(e2, e4) = all_0_6_6
% 47.01/16.26  																				|
% 47.01/16.26  																				| From (473) and (68) follows:
% 47.01/16.26  																				| (4044) op(e4, e2) = all_0_70_70
% 47.01/16.26  																				|
% 47.01/16.26  																				| From (473) and (145) follows:
% 47.01/16.26  																				| (1751) op(e0, e2) = all_0_69_69
% 47.01/16.26  																				|
% 47.01/16.26  																				+-Applying beta-rule and splitting (210), into two cases.
% 47.01/16.26  																				|-Branch one:
% 47.01/16.26  																				| (433) all_0_80_80 = e4
% 47.01/16.26  																				|
% 47.01/16.26  																					| Combining equations (416,433) yields a new equation:
% 47.01/16.26  																					| (434) e4 = e3
% 47.01/16.26  																					|
% 47.01/16.26  																					| Equations (434) can reduce 177 to:
% 47.01/16.26  																					| (311) $false
% 47.01/16.26  																					|
% 47.01/16.26  																					|-The branch is then unsatisfiable
% 47.01/16.26  																				|-Branch two:
% 47.01/16.26  																				| (436)  ~ (all_0_80_80 = e4)
% 47.01/16.26  																				| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.01/16.26  																				|
% 47.01/16.26  																					+-Applying beta-rule and splitting (437), into two cases.
% 47.01/16.26  																					|-Branch one:
% 47.01/16.26  																					| (438) all_0_84_84 = e4
% 47.01/16.26  																					|
% 47.01/16.26  																						| Equations (438) can reduce 417 to:
% 47.01/16.26  																						| (311) $false
% 47.01/16.26  																						|
% 47.01/16.26  																						|-The branch is then unsatisfiable
% 47.01/16.26  																					|-Branch two:
% 47.01/16.26  																					| (417)  ~ (all_0_84_84 = e4)
% 47.01/16.26  																					| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.01/16.26  																					|
% 47.01/16.26  																						+-Applying beta-rule and splitting (617), into two cases.
% 47.01/16.26  																						|-Branch one:
% 47.01/16.26  																						| (1265) all_0_84_84 = e3
% 47.01/16.26  																						|
% 47.01/16.26  																							| Equations (1265) can reduce 422 to:
% 47.01/16.26  																							| (311) $false
% 47.01/16.26  																							|
% 47.01/16.26  																							|-The branch is then unsatisfiable
% 47.01/16.26  																						|-Branch two:
% 47.01/16.26  																						| (422)  ~ (all_0_84_84 = e3)
% 47.01/16.26  																						| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.01/16.26  																						|
% 47.01/16.26  																							+-Applying beta-rule and splitting (1268), into two cases.
% 47.01/16.26  																							|-Branch one:
% 47.01/16.26  																							| (916) all_0_84_84 = e0
% 47.01/16.26  																							|
% 47.01/16.26  																								| Equations (916) can reduce 7 to:
% 47.01/16.26  																								| (914)  ~ (all_0_82_82 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Equations (916) can reduce 223 to:
% 47.01/16.26  																								| (1314)  ~ (all_0_83_83 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Equations (916) can reduce 195 to:
% 47.01/16.26  																								| (938)  ~ (all_0_97_97 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Simplifying 938 yields:
% 47.01/16.26  																								| (609)  ~ (all_0_97_97 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Equations (916) can reduce 612 to:
% 47.01/16.26  																								| (510)  ~ (e2 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Simplifying 510 yields:
% 47.01/16.26  																								| (76)  ~ (e2 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Equations (916) can reduce 259 to:
% 47.01/16.26  																								| (859)  ~ (e1 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| Simplifying 859 yields:
% 47.01/16.26  																								| (264)  ~ (e1 = e0)
% 47.01/16.26  																								|
% 47.01/16.26  																								| From (916) and (194) follows:
% 47.01/16.26  																								| (38089) op(e0, e1) = all_0_12_12
% 47.01/16.26  																								|
% 47.01/16.26  																								| From (916) and (150) follows:
% 47.01/16.26  																								| (11508) op(e3, e0) = all_0_63_63
% 47.01/16.26  																								|
% 47.01/16.26  																								| From (916) and (122) follows:
% 47.01/16.26  																								| (1321) op(e1, e0) = all_0_62_62
% 47.01/16.26  																								|
% 47.01/16.26  																								+-Applying beta-rule and splitting (441), into two cases.
% 47.01/16.26  																								|-Branch one:
% 47.01/16.26  																								| (442) all_0_92_92 = e4
% 47.01/16.26  																								|
% 47.01/16.26  																									| Equations (442) can reduce 1619 to:
% 47.01/16.26  																									| (311) $false
% 47.01/16.26  																									|
% 47.01/16.26  																									|-The branch is then unsatisfiable
% 47.01/16.26  																								|-Branch two:
% 47.01/16.26  																								| (1619)  ~ (all_0_92_92 = e4)
% 47.01/16.26  																								| (610) all_0_97_97 = e4
% 47.01/16.26  																								|
% 47.01/16.26  																									| Combining equations (610,8321) yields a new equation:
% 47.01/16.27  																									| (32048) all_0_73_73 = e4
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 105 to:
% 47.01/16.27  																									| (315)  ~ (all_0_95_95 = e4)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 22 to:
% 47.01/16.27  																									| (115)  ~ (all_0_96_96 = e4)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 148 to:
% 47.01/16.27  																									| (320)  ~ (all_0_98_98 = e4)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Simplifying 320 yields:
% 47.01/16.27  																									| (321)  ~ (all_0_98_98 = e4)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 428 to:
% 47.01/16.27  																									| (177)  ~ (e4 = e3)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 527 to:
% 47.01/16.27  																									| (79)  ~ (e4 = e2)
% 47.01/16.27  																									|
% 47.01/16.27  																									| Equations (610) can reduce 609 to:
% 47.01/16.27  																									| (23)  ~ (e4 = e0)
% 47.01/16.27  																									|
% 47.01/16.27  																									| From (610) and (260) follows:
% 47.01/16.27  																									| (30643) op(e4, e1) = all_0_37_37
% 47.01/16.27  																									|
% 47.01/16.27  																									| From (610) and (252) follows:
% 47.01/16.27  																									| (30644) op(e1, e4) = all_0_67_67
% 47.01/16.27  																									|
% 47.01/16.27  																									| From (610) and (69) follows:
% 47.01/16.27  																									| (30645) op(e0, e4) = all_0_68_68
% 47.01/16.27  																									|
% 47.01/16.27  																									| From (610) and (147) follows:
% 47.01/16.27  																									| (20306) op(e0, e1) = e4
% 47.01/16.27  																									|
% 47.01/16.27  																									+-Applying beta-rule and splitting (176), into two cases.
% 47.01/16.27  																									|-Branch one:
% 47.01/16.27  																									| (785) all_0_95_95 = e1
% 47.01/16.27  																									|
% 47.01/16.27  																										| Equations (785) can reduce 229 to:
% 47.01/16.27  																										| (678)  ~ (all_0_90_90 = e1)
% 47.01/16.27  																										|
% 47.01/16.27  																										| Equations (785) can reduce 279 to:
% 47.01/16.27  																										| (1671)  ~ (all_0_96_96 = e1)
% 47.01/16.27  																										|
% 47.01/16.27  																										| Simplifying 1671 yields:
% 47.01/16.27  																										| (1479)  ~ (all_0_96_96 = e1)
% 47.01/16.27  																										|
% 47.01/16.27  																										| Equations (785) can reduce 107 to:
% 47.01/16.27  																										| (1803)  ~ (all_0_98_98 = e1)
% 47.01/16.27  																										|
% 47.01/16.27  																										| Simplifying 1803 yields:
% 47.01/16.27  																										| (1804)  ~ (all_0_98_98 = e1)
% 47.01/16.27  																										|
% 47.01/16.27  																										| From (785) and (77) follows:
% 47.01/16.27  																										| (29592) op(e1, e3) = all_0_33_33
% 47.01/16.27  																										|
% 47.01/16.27  																										| From (785) and (158) follows:
% 47.01/16.27  																										| (38115) op(e1, e0) = all_0_32_32
% 47.01/16.27  																										|
% 47.01/16.27  																										| From (785) and (280) follows:
% 47.01/16.27  																										| (13196) op(e0, e1) = all_0_51_51
% 47.01/16.27  																										|
% 47.01/16.27  																										+-Applying beta-rule and splitting (132), into two cases.
% 47.01/16.27  																										|-Branch one:
% 47.01/16.27  																										| (750) all_0_90_90 = e1
% 47.01/16.27  																										|
% 47.01/16.27  																											| Equations (750) can reduce 678 to:
% 47.01/16.27  																											| (311) $false
% 47.01/16.27  																											|
% 47.01/16.27  																											|-The branch is then unsatisfiable
% 47.01/16.27  																										|-Branch two:
% 47.01/16.27  																										| (678)  ~ (all_0_90_90 = e1)
% 47.01/16.27  																										| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.01/16.27  																										|
% 47.01/16.27  																											+-Applying beta-rule and splitting (1526), into two cases.
% 47.01/16.27  																											|-Branch one:
% 47.01/16.27  																											| (801) all_0_91_91 = e1
% 47.01/16.27  																											|
% 47.01/16.27  																												| Equations (801) can reduce 959 to:
% 47.01/16.27  																												| (311) $false
% 47.01/16.27  																												|
% 47.01/16.27  																												|-The branch is then unsatisfiable
% 47.01/16.27  																											|-Branch two:
% 47.01/16.27  																											| (959)  ~ (all_0_91_91 = e1)
% 47.01/16.27  																											| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.01/16.27  																											|
% 47.01/16.27  																												+-Applying beta-rule and splitting (1556), into two cases.
% 47.01/16.27  																												|-Branch one:
% 47.01/16.27  																												| (836) all_0_92_92 = e1
% 47.01/16.27  																												|
% 47.01/16.27  																													| Equations (836) can reduce 72 to:
% 47.01/16.27  																													| (678)  ~ (all_0_90_90 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Equations (836) can reduce 265 to:
% 47.01/16.27  																													| (959)  ~ (all_0_91_91 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Equations (836) can reduce 283 to:
% 47.01/16.27  																													| (480)  ~ (all_0_93_93 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Simplifying 480 yields:
% 47.01/16.27  																													| (481)  ~ (all_0_93_93 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Equations (836) can reduce 426 to:
% 47.01/16.27  																													| (683)  ~ (e3 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Simplifying 683 yields:
% 47.01/16.27  																													| (20)  ~ (e3 = e1)
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e3, all_0_13_13, all_0_1_1 and discharging atoms op(e4, e3) = all_0_1_1, op(e4, e3) = all_0_13_13, yields:
% 47.01/16.27  																													| (38132) all_0_1_1 = all_0_13_13
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e3, all_0_61_61, all_0_1_1 and discharging atoms op(e4, e3) = all_0_1_1, op(e4, e3) = all_0_61_61, yields:
% 47.01/16.27  																													| (38133) all_0_1_1 = all_0_61_61
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e3, e4, all_0_13_13 and discharging atoms op(e4, e3) = all_0_13_13, op(e4, e3) = e4, yields:
% 47.01/16.27  																													| (23194) all_0_13_13 = e4
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e2, e1, all_0_70_70 and discharging atoms op(e4, e2) = all_0_70_70, op(e4, e2) = e1, yields:
% 47.01/16.27  																													| (4072) all_0_70_70 = e1
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e1, all_0_53_53, all_0_37_37 and discharging atoms op(e4, e1) = all_0_37_37, op(e4, e1) = all_0_53_53, yields:
% 47.01/16.27  																													| (38136) all_0_37_37 = all_0_53_53
% 47.01/16.27  																													|
% 47.01/16.27  																													| Instantiating formula (262) with e4, e1, e3, all_0_37_37 and discharging atoms op(e4, e1) = all_0_37_37, op(e4, e1) = e3, yields:
% 47.01/16.28  																													| (30649) all_0_37_37 = e3
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e3, e0, e4, all_0_63_63 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = e4, yields:
% 47.01/16.28  																													| (10099) all_0_63_63 = e4
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e2, e4, all_0_6_6, e3 and discharging atoms op(e2, e4) = all_0_6_6, op(e2, e4) = e3, yields:
% 47.01/16.28  																													| (4073) all_0_6_6 = e3
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e4, all_0_2_2, e4 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = e4, yields:
% 47.01/16.28  																													| (38140) all_0_2_2 = e4
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e4, all_0_67_67, all_0_2_2 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = all_0_67_67, yields:
% 47.01/16.28  																													| (38141) all_0_2_2 = all_0_67_67
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e3, all_0_33_33, all_0_90_90 and discharging atoms op(e1, e3) = all_0_33_33, op(e1, e3) = all_0_90_90, yields:
% 47.01/16.28  																													| (29638) all_0_33_33 = all_0_90_90
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_33_33 and discharging atoms op(e1, e3) = all_0_33_33, op(e1, e3) = all_0_60_60, yields:
% 47.01/16.28  																													| (38143) all_0_33_33 = all_0_60_60
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e0, all_0_32_32, all_0_93_93 and discharging atoms op(e1, e0) = all_0_32_32, op(e1, e0) = all_0_93_93, yields:
% 47.01/16.28  																													| (38144) all_0_32_32 = all_0_93_93
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_32_32 and discharging atoms op(e1, e0) = all_0_32_32, op(e1, e0) = all_0_62_62, yields:
% 47.01/16.28  																													| (38145) all_0_32_32 = all_0_62_62
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e0, e4, all_0_68_68, e2 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = e2, yields:
% 47.01/16.28  																													| (2850) all_0_68_68 = e2
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e0, e4, all_0_71_71, all_0_68_68 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = all_0_71_71, yields:
% 47.01/16.28  																													| (1369) all_0_68_68 = all_0_71_71
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e0, e2, all_0_69_69, all_0_96_96 and discharging atoms op(e0, e2) = all_0_69_69, op(e0, e2) = all_0_96_96, yields:
% 47.01/16.28  																													| (1794) all_0_69_69 = all_0_96_96
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e0, e1, all_0_51_51, all_0_12_12 and discharging atoms op(e0, e1) = all_0_12_12, op(e0, e1) = all_0_51_51, yields:
% 47.01/16.28  																													| (38149) all_0_12_12 = all_0_51_51
% 47.01/16.28  																													|
% 47.01/16.28  																													| Instantiating formula (262) with e0, e1, e4, all_0_12_12 and discharging atoms op(e0, e1) = all_0_12_12, op(e0, e1) = e4, yields:
% 47.01/16.28  																													| (38150) all_0_12_12 = e4
% 47.01/16.28  																													|
% 47.01/16.29  																													| Combining equations (38132,38133) yields a new equation:
% 47.01/16.29  																													| (38151) all_0_13_13 = all_0_61_61
% 47.01/16.29  																													|
% 47.01/16.29  																													| Simplifying 38151 yields:
% 47.01/16.29  																													| (38152) all_0_13_13 = all_0_61_61
% 47.01/16.29  																													|
% 47.01/16.29  																													| Combining equations (38140,38141) yields a new equation:
% 47.01/16.29  																													| (3520) all_0_67_67 = e4
% 47.01/16.29  																													|
% 47.01/16.29  																													| Combining equations (38149,38150) yields a new equation:
% 47.01/16.29  																													| (38154) all_0_51_51 = e4
% 47.01/16.29  																													|
% 47.01/16.30  																													| Simplifying 38154 yields:
% 47.01/16.30  																													| (38155) all_0_51_51 = e4
% 47.01/16.30  																													|
% 47.01/16.30  																													| Combining equations (23194,38152) yields a new equation:
% 47.01/16.30  																													| (38156) all_0_61_61 = e4
% 47.01/16.30  																													|
% 47.01/16.30  																													| Combining equations (38145,38144) yields a new equation:
% 47.01/16.30  																													| (38157) all_0_62_62 = all_0_93_93
% 47.01/16.30  																													|
% 47.01/16.30  																													| Simplifying 38157 yields:
% 47.01/16.30  																													| (1367) all_0_62_62 = all_0_93_93
% 47.01/16.30  																													|
% 47.08/16.31  																													| Combining equations (29638,38143) yields a new equation:
% 47.08/16.31  																													| (451) all_0_60_60 = all_0_90_90
% 47.08/16.31  																													|
% 47.08/16.31  																													| Combining equations (30649,38136) yields a new equation:
% 47.08/16.31  																													| (38160) all_0_53_53 = e3
% 47.08/16.31  																													|
% 47.08/16.31  																													| Combining equations (1369,2850) yields a new equation:
% 47.08/16.31  																													| (11297) all_0_71_71 = e2
% 47.08/16.31  																													|
% 47.08/16.31  																													| Simplifying 11297 yields:
% 47.08/16.31  																													| (2601) all_0_71_71 = e2
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (38156) and (10591) follows:
% 47.08/16.31  																													| (4757) op(e4, e3) = e4
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (4072) and (4044) follows:
% 47.08/16.31  																													| (1678) op(e4, e2) = e1
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (38160) and (38015) follows:
% 47.08/16.31  																													| (30622) op(e4, e1) = e3
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (10099) and (11508) follows:
% 47.08/16.31  																													| (4406) op(e3, e0) = e4
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (4073) and (4042) follows:
% 47.08/16.31  																													| (172) op(e2, e4) = e3
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (3520) and (30644) follows:
% 47.08/16.31  																													| (4743) op(e1, e4) = e4
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (451) and (432) follows:
% 47.08/16.31  																													| (218) op(e1, e3) = all_0_90_90
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (2601) and (2742) follows:
% 47.08/16.31  																													| (30539) op(e0, e4) = e2
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (1794) and (1751) follows:
% 47.08/16.31  																													| (59) op(e0, e2) = all_0_96_96
% 47.08/16.31  																													|
% 47.08/16.31  																													| From (38155) and (13196) follows:
% 47.08/16.32  																													| (20306) op(e0, e1) = e4
% 47.08/16.32  																													|
% 47.08/16.32  																													+-Applying beta-rule and splitting (89), into two cases.
% 47.08/16.32  																													|-Branch one:
% 47.08/16.32  																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.08/16.32  																													|
% 47.08/16.32  																														+-Applying beta-rule and splitting (1373), into two cases.
% 47.08/16.32  																														|-Branch one:
% 47.08/16.32  																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.08/16.32  																														|
% 47.08/16.32  																															+-Applying beta-rule and splitting (1374), into two cases.
% 47.08/16.32  																															|-Branch one:
% 47.08/16.32  																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.08/16.32  																															|
% 47.08/16.32  																																| Applying alpha-rule on (1375) yields:
% 47.08/16.32  																																| (1376) all_0_69_69 = e4
% 47.08/16.32  																																| (1377)  ~ (all_0_70_70 = e0)
% 47.08/16.32  																																|
% 47.08/16.32  																																| Combining equations (1794,1376) yields a new equation:
% 47.08/16.32  																																| (38178) all_0_96_96 = e4
% 47.08/16.32  																																|
% 47.08/16.32  																																| Simplifying 38178 yields:
% 47.08/16.32  																																| (16509) all_0_96_96 = e4
% 47.08/16.32  																																|
% 47.08/16.32  																																| Equations (16509) can reduce 115 to:
% 47.08/16.32  																																| (311) $false
% 47.08/16.32  																																|
% 47.08/16.32  																																|-The branch is then unsatisfiable
% 47.08/16.32  																															|-Branch two:
% 47.08/16.32  																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.08/16.32  																															|
% 47.08/16.32  																																| Applying alpha-rule on (1379) yields:
% 47.08/16.32  																																| (1380) all_0_71_71 = e3
% 47.08/16.32  																																| (1381)  ~ (all_0_72_72 = e0)
% 47.08/16.32  																																|
% 47.08/16.32  																																| Combining equations (2601,1380) yields a new equation:
% 47.08/16.32  																																| (548) e3 = e2
% 47.08/16.32  																																|
% 47.08/16.32  																																| Equations (548) can reduce 169 to:
% 47.08/16.32  																																| (311) $false
% 47.08/16.32  																																|
% 47.08/16.32  																																|-The branch is then unsatisfiable
% 47.08/16.32  																														|-Branch two:
% 47.08/16.32  																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.08/16.32  																														|
% 47.08/16.32  																															| Applying alpha-rule on (1385) yields:
% 47.08/16.32  																															| (1386) all_0_73_73 = e2
% 47.08/16.32  																															| (1387)  ~ (all_0_74_74 = e0)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Combining equations (1386,32048) yields a new equation:
% 47.08/16.32  																															| (310) e4 = e2
% 47.08/16.32  																															|
% 47.08/16.32  																															| Equations (310) can reduce 79 to:
% 47.08/16.32  																															| (311) $false
% 47.08/16.32  																															|
% 47.08/16.32  																															|-The branch is then unsatisfiable
% 47.08/16.32  																													|-Branch two:
% 47.08/16.32  																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.08/16.32  																													|
% 47.08/16.32  																														| Applying alpha-rule on (1391) yields:
% 47.08/16.32  																														| (1392) all_0_75_75 = e1
% 47.08/16.32  																														| (1393)  ~ (all_0_76_76 = e0)
% 47.08/16.32  																														|
% 47.08/16.32  																														| From (1392) and (173) follows:
% 47.08/16.32  																														| (1394) op(e0, all_0_93_93) = e1
% 47.08/16.32  																														|
% 47.08/16.32  																														+-Applying beta-rule and splitting (52), into two cases.
% 47.08/16.32  																														|-Branch one:
% 47.08/16.32  																														| (453) all_0_83_83 = e2
% 47.08/16.32  																														|
% 47.08/16.32  																															| Equations (453) can reduce 116 to:
% 47.08/16.32  																															| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Equations (453) can reduce 211 to:
% 47.08/16.32  																															| (1637)  ~ (all_0_96_96 = e2)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Simplifying 1637 yields:
% 47.08/16.32  																															| (1638)  ~ (all_0_96_96 = e2)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Equations (453) can reduce 155 to:
% 47.08/16.32  																															| (528)  ~ (e4 = e2)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Simplifying 528 yields:
% 47.08/16.32  																															| (79)  ~ (e4 = e2)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Equations (453) can reduce 113 to:
% 47.08/16.32  																															| (243)  ~ (e2 = e1)
% 47.08/16.32  																															|
% 47.08/16.32  																															| Equations (453) can reduce 1314 to:
% 47.08/16.32  																															| (76)  ~ (e2 = e0)
% 47.08/16.32  																															|
% 47.08/16.32  																															| From (453) and (206) follows:
% 47.08/16.32  																															| (1643) op(e2, e2) = all_0_54_54
% 47.08/16.32  																															|
% 47.08/16.32  																															+-Applying beta-rule and splitting (246), into two cases.
% 47.08/16.32  																															|-Branch one:
% 47.08/16.32  																															| (400) all_0_78_78 = e2
% 47.08/16.32  																															|
% 47.08/16.32  																																| Combining equations (463,400) yields a new equation:
% 47.08/16.32  																																| (309) e4 = e2
% 47.08/16.32  																																|
% 47.08/16.32  																																| Simplifying 309 yields:
% 47.08/16.32  																																| (310) e4 = e2
% 47.08/16.32  																																|
% 47.08/16.32  																																| Equations (310) can reduce 79 to:
% 47.08/16.32  																																| (311) $false
% 47.08/16.32  																																|
% 47.08/16.32  																																|-The branch is then unsatisfiable
% 47.08/16.32  																															|-Branch two:
% 47.08/16.32  																															| (346)  ~ (all_0_78_78 = e2)
% 47.08/16.32  																															| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.32  																															|
% 47.08/16.32  																																+-Applying beta-rule and splitting (13415), into two cases.
% 47.08/16.32  																																|-Branch one:
% 47.08/16.32  																																| (530) all_0_82_82 = e2
% 47.08/16.32  																																|
% 47.08/16.32  																																	| Equations (530) can reduce 347 to:
% 47.08/16.32  																																	| (311) $false
% 47.08/16.32  																																	|
% 47.08/16.32  																																	|-The branch is then unsatisfiable
% 47.08/16.32  																																|-Branch two:
% 47.08/16.32  																																| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.32  																																| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.32  																																|
% 47.08/16.32  																																	+-Applying beta-rule and splitting (13419), into two cases.
% 47.08/16.32  																																	|-Branch one:
% 47.08/16.32  																																	| (345) all_0_86_86 = e2
% 47.08/16.32  																																	|
% 47.08/16.32  																																		| Combining equations (345,378) yields a new equation:
% 47.08/16.32  																																		| (923) e2 = e0
% 47.08/16.32  																																		|
% 47.08/16.32  																																		| Simplifying 923 yields:
% 47.08/16.32  																																		| (379) e2 = e0
% 47.08/16.32  																																		|
% 47.08/16.32  																																		| Equations (379) can reduce 76 to:
% 47.08/16.32  																																		| (311) $false
% 47.08/16.32  																																		|
% 47.08/16.32  																																		|-The branch is then unsatisfiable
% 47.08/16.32  																																	|-Branch two:
% 47.08/16.32  																																	| (9507)  ~ (all_0_86_86 = e2)
% 47.08/16.32  																																	| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.32  																																	|
% 47.08/16.32  																																		+-Applying beta-rule and splitting (13424), into two cases.
% 47.08/16.32  																																		|-Branch one:
% 47.08/16.32  																																		| (746) all_0_90_90 = e2
% 47.08/16.32  																																		|
% 47.08/16.32  																																			| Combining equations (746,451) yields a new equation:
% 47.08/16.32  																																			| (4076) all_0_60_60 = e2
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Equations (746) can reduce 103 to:
% 47.08/16.32  																																			| (295)  ~ (all_0_91_91 = e2)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Simplifying 295 yields:
% 47.08/16.32  																																			| (296)  ~ (all_0_91_91 = e2)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Equations (746) can reduce 467 to:
% 47.08/16.32  																																			| (528)  ~ (e4 = e2)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Simplifying 528 yields:
% 47.08/16.32  																																			| (79)  ~ (e4 = e2)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Equations (746) can reduce 678 to:
% 47.08/16.32  																																			| (243)  ~ (e2 = e1)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| Equations (746) can reduce 762 to:
% 47.08/16.32  																																			| (76)  ~ (e2 = e0)
% 47.08/16.32  																																			|
% 47.08/16.32  																																			| From (746) and (218) follows:
% 47.08/16.32  																																			| (32321) op(e1, e3) = e2
% 47.08/16.32  																																			|
% 47.08/16.32  																																			+-Applying beta-rule and splitting (276), into two cases.
% 47.08/16.32  																																			|-Branch one:
% 47.08/16.32  																																			| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.08/16.32  																																			|
% 47.08/16.32  																																				+-Applying beta-rule and splitting (577), into two cases.
% 47.08/16.32  																																				|-Branch one:
% 47.08/16.32  																																				| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.08/16.32  																																				|
% 47.08/16.33  																																					+-Applying beta-rule and splitting (578), into two cases.
% 47.08/16.33  																																					|-Branch one:
% 47.08/16.33  																																					| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.08/16.33  																																					|
% 47.08/16.33  																																						| Applying alpha-rule on (579) yields:
% 47.08/16.33  																																						| (580) all_0_60_60 = e4
% 47.08/16.33  																																						| (581)  ~ (all_0_61_61 = e1)
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Combining equations (580,4076) yields a new equation:
% 47.08/16.33  																																						| (309) e4 = e2
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Simplifying 309 yields:
% 47.08/16.33  																																						| (310) e4 = e2
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Equations (310) can reduce 79 to:
% 47.08/16.33  																																						| (311) $false
% 47.08/16.33  																																						|
% 47.08/16.33  																																						|-The branch is then unsatisfiable
% 47.08/16.33  																																					|-Branch two:
% 47.08/16.33  																																					| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.08/16.33  																																					|
% 47.08/16.33  																																						| Applying alpha-rule on (585) yields:
% 47.08/16.33  																																						| (586) all_0_62_62 = e3
% 47.08/16.33  																																						| (587)  ~ (all_0_63_63 = e1)
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Combining equations (586,1367) yields a new equation:
% 47.08/16.33  																																						| (570) all_0_93_93 = e3
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Equations (570) can reduce 13 to:
% 47.08/16.33  																																						| (1518)  ~ (all_0_98_98 = e3)
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| Simplifying 1518 yields:
% 47.08/16.33  																																						| (1519)  ~ (all_0_98_98 = e3)
% 47.08/16.33  																																						|
% 47.08/16.33  																																						| From (570) and (21) follows:
% 47.08/16.33  																																						| (4652) op(e1, e3) = all_0_76_76
% 47.08/16.33  																																						|
% 47.08/16.33  																																						+-Applying beta-rule and splitting (291), into two cases.
% 47.08/16.33  																																						|-Branch one:
% 47.08/16.33  																																						| (758) all_0_90_90 = e0
% 47.08/16.33  																																						|
% 47.08/16.33  																																							| Combining equations (746,758) yields a new equation:
% 47.08/16.33  																																							| (923) e2 = e0
% 47.08/16.33  																																							|
% 47.08/16.33  																																							| Simplifying 923 yields:
% 47.08/16.33  																																							| (379) e2 = e0
% 47.08/16.33  																																							|
% 47.08/16.33  																																							| Equations (379) can reduce 76 to:
% 47.08/16.33  																																							| (311) $false
% 47.08/16.33  																																							|
% 47.08/16.33  																																							|-The branch is then unsatisfiable
% 47.08/16.33  																																						|-Branch two:
% 47.08/16.33  																																						| (762)  ~ (all_0_90_90 = e0)
% 47.08/16.33  																																						| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.08/16.33  																																						|
% 47.08/16.33  																																							+-Applying beta-rule and splitting (48), into two cases.
% 47.08/16.33  																																							|-Branch one:
% 47.08/16.33  																																							| (525) all_0_98_98 = e2
% 47.08/16.33  																																							|
% 47.08/16.33  																																								| Equations (525) can reduce 1349 to:
% 47.08/16.33  																																								| (311) $false
% 47.08/16.33  																																								|
% 47.08/16.33  																																								|-The branch is then unsatisfiable
% 47.08/16.33  																																							|-Branch two:
% 47.08/16.33  																																							| (1349)  ~ (all_0_98_98 = e2)
% 47.08/16.33  																																							| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.08/16.33  																																							|
% 47.08/16.33  																																								+-Applying beta-rule and splitting (5118), into two cases.
% 47.08/16.33  																																								|-Branch one:
% 47.08/16.33  																																								| (1543) all_0_98_98 = e1
% 47.08/16.33  																																								|
% 47.08/16.33  																																									| Equations (1543) can reduce 1804 to:
% 47.08/16.33  																																									| (311) $false
% 47.08/16.33  																																									|
% 47.08/16.33  																																									|-The branch is then unsatisfiable
% 47.08/16.33  																																								|-Branch two:
% 47.08/16.33  																																								| (1804)  ~ (all_0_98_98 = e1)
% 47.08/16.33  																																								| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.08/16.33  																																								|
% 47.08/16.33  																																									+-Applying beta-rule and splitting (5122), into two cases.
% 47.08/16.33  																																									|-Branch one:
% 47.08/16.33  																																									| (969) all_0_98_98 = e3
% 47.08/16.33  																																									|
% 47.08/16.33  																																										| Equations (969) can reduce 1519 to:
% 47.08/16.33  																																										| (311) $false
% 47.08/16.33  																																										|
% 47.08/16.33  																																										|-The branch is then unsatisfiable
% 47.08/16.33  																																									|-Branch two:
% 47.08/16.33  																																									| (1519)  ~ (all_0_98_98 = e3)
% 47.08/16.33  																																									| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 47.08/16.33  																																									|
% 47.08/16.33  																																										+-Applying beta-rule and splitting (5284), into two cases.
% 47.08/16.33  																																										|-Branch one:
% 47.08/16.33  																																										| (1121) all_0_98_98 = e0
% 47.08/16.33  																																										|
% 47.08/16.33  																																											| Equations (1121) can reduce 43 to:
% 47.08/16.33  																																											| (2095)  ~ (all_0_96_96 = e0)
% 47.08/16.33  																																											|
% 47.08/16.33  																																											| Equations (1121) can reduce 1349 to:
% 47.08/16.33  																																											| (510)  ~ (e2 = e0)
% 47.08/16.33  																																											|
% 47.08/16.33  																																											| Simplifying 510 yields:
% 47.08/16.33  																																											| (76)  ~ (e2 = e0)
% 47.08/16.33  																																											|
% 47.08/16.33  																																											+-Applying beta-rule and splitting (219), into two cases.
% 47.08/16.33  																																											|-Branch one:
% 47.08/16.33  																																											| (798) all_0_83_83 = e0
% 47.08/16.33  																																											|
% 47.08/16.33  																																												| Combining equations (453,798) yields a new equation:
% 47.08/16.33  																																												| (923) e2 = e0
% 47.08/16.33  																																												|
% 47.08/16.33  																																												| Simplifying 923 yields:
% 47.08/16.33  																																												| (379) e2 = e0
% 47.08/16.33  																																												|
% 47.08/16.33  																																												| Equations (379) can reduce 76 to:
% 47.08/16.33  																																												| (311) $false
% 47.08/16.33  																																												|
% 47.08/16.33  																																												|-The branch is then unsatisfiable
% 47.08/16.33  																																											|-Branch two:
% 47.08/16.33  																																											| (1314)  ~ (all_0_83_83 = e0)
% 47.08/16.33  																																											| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.08/16.33  																																											|
% 47.08/16.33  																																												+-Applying beta-rule and splitting (84), into two cases.
% 47.08/16.33  																																												|-Branch one:
% 47.08/16.33  																																												| (1704) all_0_96_96 = e2
% 47.08/16.33  																																												|
% 47.08/16.33  																																													| Equations (1704) can reduce 1638 to:
% 47.08/16.33  																																													| (311) $false
% 47.08/16.33  																																													|
% 47.08/16.33  																																													|-The branch is then unsatisfiable
% 47.08/16.33  																																												|-Branch two:
% 47.08/16.33  																																												| (1638)  ~ (all_0_96_96 = e2)
% 47.08/16.33  																																												| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.08/16.33  																																												|
% 47.08/16.33  																																													+-Applying beta-rule and splitting (1455), into two cases.
% 47.08/16.33  																																													|-Branch one:
% 47.08/16.33  																																													| (1456) all_0_91_91 = e0
% 47.08/16.33  																																													|
% 47.08/16.33  																																														| Equations (1456) can reduce 64 to:
% 47.08/16.33  																																														| (2296)  ~ (all_0_96_96 = e0)
% 47.08/16.33  																																														|
% 47.08/16.33  																																														| Simplifying 2296 yields:
% 47.08/16.33  																																														| (2095)  ~ (all_0_96_96 = e0)
% 47.08/16.33  																																														|
% 47.08/16.33  																																														| Equations (1456) can reduce 959 to:
% 47.08/16.33  																																														| (859)  ~ (e1 = e0)
% 47.08/16.33  																																														|
% 47.08/16.33  																																														| Simplifying 859 yields:
% 47.08/16.33  																																														| (264)  ~ (e1 = e0)
% 47.08/16.33  																																														|
% 47.08/16.33  																																														+-Applying beta-rule and splitting (1707), into two cases.
% 47.08/16.33  																																														|-Branch one:
% 47.08/16.33  																																														| (960) all_0_96_96 = e1
% 47.08/16.33  																																														|
% 47.08/16.33  																																															| Equations (960) can reduce 1479 to:
% 47.08/16.33  																																															| (311) $false
% 47.08/16.33  																																															|
% 47.08/16.33  																																															|-The branch is then unsatisfiable
% 47.08/16.33  																																														|-Branch two:
% 47.08/16.33  																																														| (1479)  ~ (all_0_96_96 = e1)
% 47.08/16.33  																																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.08/16.33  																																														|
% 47.08/16.33  																																															+-Applying beta-rule and splitting (2016), into two cases.
% 47.08/16.33  																																															|-Branch one:
% 47.08/16.33  																																															| (778) all_0_96_96 = e3
% 47.08/16.33  																																															|
% 47.08/16.33  																																																| From (778) and (212) follows:
% 47.08/16.33  																																																| (10599) op(e2, e3) = all_0_58_58
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| From (778) and (59) follows:
% 47.08/16.33  																																																| (4698) op(e0, e2) = e3
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| Instantiating formula (262) with e2, e3, all_0_58_58, e0 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e0, yields:
% 47.08/16.33  																																																| (4958) all_0_58_58 = e0
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| Instantiating formula (262) with e2, e2, all_0_54_54, e4 and discharging atoms op(e2, e2) = all_0_54_54, op(e2, e2) = e4, yields:
% 47.08/16.33  																																																| (1647) all_0_54_54 = e4
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| Instantiating formula (262) with e1, e3, e2, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e2, yields:
% 47.08/16.33  																																																| (11652) all_0_76_76 = e2
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| Equations (11652) can reduce 1393 to:
% 47.08/16.33  																																																| (76)  ~ (e2 = e0)
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| From (4958) and (10599) follows:
% 47.08/16.33  																																																| (5343) op(e2, e3) = e0
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| From (1647) and (1643) follows:
% 47.08/16.33  																																																| (6) op(e2, e2) = e4
% 47.08/16.33  																																																|
% 47.08/16.33  																																																| From (11652) and (4652) follows:
% 47.08/16.33  																																																| (32321) op(e1, e3) = e2
% 47.08/16.33  																																																|
% 47.08/16.33  																																																+-Applying beta-rule and splitting (196), into two cases.
% 47.08/16.33  																																																|-Branch one:
% 47.08/16.33  																																																| (4725) unit = e2
% 47.08/16.33  																																																|
% 47.08/16.33  																																																	| From (4725) and (170) follows:
% 47.08/16.33  																																																	| (4726) op(e2, e4) = e4
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| From (4725) and (11) follows:
% 47.08/16.33  																																																	| (4727) op(e4, e2) = e4
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| From (4725) and (269) follows:
% 47.08/16.33  																																																	| (4728) op(e2, e2) = e2
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| From (4725) and (57) follows:
% 47.08/16.33  																																																	| (4729) op(e0, e2) = e0
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Instantiating formula (262) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 47.08/16.33  																																																	| (814) e4 = e1
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Instantiating formula (262) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 47.08/16.33  																																																	| (434) e4 = e3
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Instantiating formula (262) with e2, e2, e2, e4 and discharging atoms op(e2, e2) = e4, op(e2, e2) = e2, yields:
% 47.08/16.33  																																																	| (310) e4 = e2
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Instantiating formula (262) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 47.08/16.33  																																																	| (600) e3 = e0
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Combining equations (310,434) yields a new equation:
% 47.08/16.33  																																																	| (548) e3 = e2
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Combining equations (814,434) yields a new equation:
% 47.08/16.33  																																																	| (772) e3 = e1
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Combining equations (600,548) yields a new equation:
% 47.08/16.33  																																																	| (379) e2 = e0
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Combining equations (772,548) yields a new equation:
% 47.08/16.33  																																																	| (385) e2 = e1
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Combining equations (379,385) yields a new equation:
% 47.08/16.33  																																																	| (865) e1 = e0
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	| Equations (865) can reduce 264 to:
% 47.08/16.33  																																																	| (311) $false
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																	|-The branch is then unsatisfiable
% 47.08/16.33  																																																|-Branch two:
% 47.08/16.33  																																																| (4740)  ~ (unit = e2)
% 47.08/16.33  																																																| (4741) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 47.08/16.33  																																																|
% 47.08/16.33  																																																	+-Applying beta-rule and splitting (4741), into two cases.
% 47.08/16.33  																																																	|-Branch one:
% 47.08/16.33  																																																	| (4742) unit = e1
% 47.08/16.33  																																																	|
% 47.08/16.33  																																																		| From (4742) and (203) follows:
% 47.08/16.33  																																																		| (4744) op(e1, e3) = e3
% 47.08/16.33  																																																		|
% 47.08/16.33  																																																		| From (4742) and (11) follows:
% 47.08/16.33  																																																		| (29630) op(e4, e1) = e4
% 47.08/16.33  																																																		|
% 47.08/16.33  																																																		| From (4742) and (57) follows:
% 47.08/16.33  																																																		| (3169) op(e0, e1) = e0
% 47.08/16.33  																																																		|
% 47.08/16.33  																																																		| Instantiating formula (262) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 47.08/16.34  																																																		| (434) e4 = e3
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Instantiating formula (262) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields:
% 47.08/16.34  																																																		| (548) e3 = e2
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Instantiating formula (262) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields:
% 47.08/16.34  																																																		| (912) e4 = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Combining equations (434,912) yields a new equation:
% 47.08/16.34  																																																		| (599) e3 = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Simplifying 599 yields:
% 47.08/16.34  																																																		| (600) e3 = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Combining equations (548,600) yields a new equation:
% 47.08/16.34  																																																		| (923) e2 = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Simplifying 923 yields:
% 47.08/16.34  																																																		| (379) e2 = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		| Equations (379) can reduce 76 to:
% 47.08/16.34  																																																		| (311) $false
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																		|-The branch is then unsatisfiable
% 47.08/16.34  																																																	|-Branch two:
% 47.08/16.34  																																																	| (4754)  ~ (unit = e1)
% 47.08/16.34  																																																	| (4755) unit = e4 | unit = e3 | unit = e0
% 47.08/16.34  																																																	|
% 47.08/16.34  																																																		+-Applying beta-rule and splitting (4755), into two cases.
% 47.08/16.34  																																																		|-Branch one:
% 47.08/16.34  																																																		| (4756) unit = e3
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																			| From (4756) and (269) follows:
% 47.08/16.34  																																																			| (362) op(e2, e3) = e2
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| From (4756) and (160) follows:
% 47.08/16.34  																																																			| (3486) op(e1, e3) = e1
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| Instantiating formula (262) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 47.08/16.34  																																																			| (379) e2 = e0
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| Instantiating formula (262) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 47.08/16.34  																																																			| (385) e2 = e1
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| Combining equations (385,379) yields a new equation:
% 47.08/16.34  																																																			| (1107) e1 = e0
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| Simplifying 1107 yields:
% 47.08/16.34  																																																			| (865) e1 = e0
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			| Equations (865) can reduce 264 to:
% 47.08/16.34  																																																			| (311) $false
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																			|-The branch is then unsatisfiable
% 47.08/16.34  																																																		|-Branch two:
% 47.08/16.34  																																																		| (4768)  ~ (unit = e3)
% 47.08/16.34  																																																		| (4769) unit = e4 | unit = e0
% 47.08/16.34  																																																		|
% 47.08/16.34  																																																			+-Applying beta-rule and splitting (4769), into two cases.
% 47.08/16.34  																																																			|-Branch one:
% 47.08/16.34  																																																			| (4770) unit = e0
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																				| From (4770) and (242) follows:
% 47.08/16.34  																																																				| (8077) op(e0, e2) = e2
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| From (4770) and (36) follows:
% 47.08/16.34  																																																				| (2475) op(e0, e1) = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| From (4770) and (271) follows:
% 47.08/16.34  																																																				| (1048) op(e3, e0) = e3
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 47.08/16.34  																																																				| (434) e4 = e3
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 47.08/16.34  																																																				| (548) e3 = e2
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields:
% 47.08/16.34  																																																				| (814) e4 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Combining equations (434,814) yields a new equation:
% 47.08/16.34  																																																				| (825) e3 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Simplifying 825 yields:
% 47.08/16.34  																																																				| (772) e3 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Combining equations (548,772) yields a new equation:
% 47.08/16.34  																																																				| (408) e2 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Simplifying 408 yields:
% 47.08/16.34  																																																				| (385) e2 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Equations (385) can reduce 243 to:
% 47.08/16.34  																																																				| (311) $false
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				|-The branch is then unsatisfiable
% 47.08/16.34  																																																			|-Branch two:
% 47.08/16.34  																																																			| (4780)  ~ (unit = e0)
% 47.08/16.34  																																																			| (4781) unit = e4
% 47.08/16.34  																																																			|
% 47.08/16.34  																																																				| From (4781) and (203) follows:
% 47.08/16.34  																																																				| (3281) op(e4, e3) = e3
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| From (4781) and (269) follows:
% 47.08/16.34  																																																				| (4784) op(e2, e4) = e2
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| From (4781) and (160) follows:
% 47.08/16.34  																																																				| (32486) op(e1, e4) = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| From (4781) and (57) follows:
% 47.08/16.34  																																																				| (30057) op(e0, e4) = e0
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 47.08/16.34  																																																				| (434) e4 = e3
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 47.08/16.34  																																																				| (548) e3 = e2
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 47.08/16.34  																																																				| (814) e4 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Instantiating formula (262) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 47.08/16.34  																																																				| (379) e2 = e0
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Combining equations (434,814) yields a new equation:
% 47.08/16.34  																																																				| (825) e3 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Simplifying 825 yields:
% 47.08/16.34  																																																				| (772) e3 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Combining equations (548,772) yields a new equation:
% 47.08/16.34  																																																				| (408) e2 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Simplifying 408 yields:
% 47.08/16.34  																																																				| (385) e2 = e1
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Combining equations (385,379) yields a new equation:
% 47.08/16.34  																																																				| (1107) e1 = e0
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Simplifying 1107 yields:
% 47.08/16.34  																																																				| (865) e1 = e0
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				| Equations (865) can reduce 264 to:
% 47.08/16.34  																																																				| (311) $false
% 47.08/16.34  																																																				|
% 47.08/16.34  																																																				|-The branch is then unsatisfiable
% 47.08/16.34  																																															|-Branch two:
% 47.08/16.34  																																															| (964)  ~ (all_0_96_96 = e3)
% 47.08/16.34  																																															| (1837) all_0_96_96 = e0
% 47.08/16.34  																																															|
% 47.08/16.34  																																																| Equations (1837) can reduce 2095 to:
% 47.08/16.34  																																																| (311) $false
% 47.08/16.34  																																																|
% 47.08/16.34  																																																|-The branch is then unsatisfiable
% 47.08/16.34  																																													|-Branch two:
% 47.08/16.34  																																													| (1487)  ~ (all_0_91_91 = e0)
% 47.08/16.34  																																													| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.08/16.34  																																													|
% 47.08/16.34  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 47.08/16.34  																																														|-Branch one:
% 47.08/16.34  																																														| (1456) all_0_91_91 = e0
% 47.08/16.34  																																														|
% 47.08/16.34  																																															| Equations (1456) can reduce 1487 to:
% 47.08/16.34  																																															| (311) $false
% 47.08/16.34  																																															|
% 47.08/16.34  																																															|-The branch is then unsatisfiable
% 47.08/16.34  																																														|-Branch two:
% 47.08/16.34  																																														| (1487)  ~ (all_0_91_91 = e0)
% 47.08/16.34  																																														| (1837) all_0_96_96 = e0
% 47.08/16.34  																																														|
% 47.08/16.34  																																															| Equations (1837) can reduce 2095 to:
% 47.08/16.34  																																															| (311) $false
% 47.08/16.34  																																															|
% 47.08/16.34  																																															|-The branch is then unsatisfiable
% 47.08/16.34  																																										|-Branch two:
% 47.08/16.34  																																										| (2059)  ~ (all_0_98_98 = e0)
% 47.08/16.34  																																										| (2650) all_0_98_98 = e4
% 47.08/16.34  																																										|
% 47.08/16.34  																																											| Equations (2650) can reduce 321 to:
% 47.08/16.34  																																											| (311) $false
% 47.08/16.34  																																											|
% 47.08/16.34  																																											|-The branch is then unsatisfiable
% 47.08/16.34  																																				|-Branch two:
% 47.08/16.34  																																				| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.08/16.34  																																				|
% 47.08/16.34  																																					| Applying alpha-rule on (590) yields:
% 47.08/16.34  																																					| (591) all_0_64_64 = e2
% 47.08/16.34  																																					| (592)  ~ (all_0_65_65 = e1)
% 47.08/16.34  																																					|
% 47.08/16.34  																																					| Combining equations (9535,591) yields a new equation:
% 47.08/16.34  																																					| (14351) all_0_91_91 = e2
% 47.08/16.34  																																					|
% 47.08/16.34  																																					| Simplifying 14351 yields:
% 47.08/16.34  																																					| (1723) all_0_91_91 = e2
% 47.08/16.34  																																					|
% 47.08/16.34  																																					| Equations (1723) can reduce 296 to:
% 47.08/16.34  																																					| (311) $false
% 47.08/16.34  																																					|
% 47.08/16.34  																																					|-The branch is then unsatisfiable
% 47.08/16.34  																																			|-Branch two:
% 47.08/16.34  																																			| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.08/16.34  																																			|
% 47.08/16.34  																																				| Applying alpha-rule on (596) yields:
% 47.08/16.34  																																				| (597) all_0_67_67 = e0
% 47.08/16.34  																																				| (598)  ~ (all_0_68_68 = e1)
% 47.08/16.34  																																				|
% 47.08/16.34  																																				| Combining equations (597,3520) yields a new equation:
% 47.08/16.34  																																				| (912) e4 = e0
% 47.08/16.34  																																				|
% 47.08/16.34  																																				| Equations (912) can reduce 23 to:
% 47.08/16.34  																																				| (311) $false
% 47.08/16.34  																																				|
% 47.08/16.34  																																				|-The branch is then unsatisfiable
% 47.08/16.35  																																		|-Branch two:
% 47.08/16.35  																																		| (294)  ~ (all_0_90_90 = e2)
% 47.08/16.35  																																		| (767) all_0_95_95 = e2
% 47.08/16.35  																																		|
% 47.08/16.35  																																			| Combining equations (767,785) yields a new equation:
% 47.08/16.35  																																			| (408) e2 = e1
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Simplifying 408 yields:
% 47.08/16.35  																																			| (385) e2 = e1
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Equations (385) can reduce 243 to:
% 47.08/16.35  																																			| (311) $false
% 47.08/16.35  																																			|
% 47.08/16.35  																																			|-The branch is then unsatisfiable
% 47.08/16.35  																														|-Branch two:
% 47.08/16.35  																														| (398)  ~ (all_0_83_83 = e2)
% 47.08/16.35  																														| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 47.08/16.35  																														|
% 47.08/16.35  																															+-Applying beta-rule and splitting (41), into two cases.
% 47.08/16.35  																															|-Branch one:
% 47.08/16.35  																															| (530) all_0_82_82 = e2
% 47.08/16.35  																															|
% 47.08/16.35  																																| Equations (530) can reduce 116 to:
% 47.08/16.35  																																| (397)  ~ (all_0_83_83 = e2)
% 47.08/16.35  																																|
% 47.08/16.35  																																| Simplifying 397 yields:
% 47.08/16.35  																																| (398)  ~ (all_0_83_83 = e2)
% 47.08/16.35  																																|
% 47.08/16.35  																																| Equations (530) can reduce 914 to:
% 47.08/16.35  																																| (76)  ~ (e2 = e0)
% 47.08/16.35  																																|
% 47.08/16.35  																																+-Applying beta-rule and splitting (220), into two cases.
% 47.08/16.35  																																|-Branch one:
% 47.08/16.35  																																| (771) all_0_78_78 = e3
% 47.08/16.35  																																|
% 47.08/16.35  																																	| Combining equations (463,771) yields a new equation:
% 47.08/16.35  																																	| (790) e4 = e3
% 47.08/16.35  																																	|
% 47.08/16.35  																																	| Simplifying 790 yields:
% 47.08/16.35  																																	| (434) e4 = e3
% 47.08/16.35  																																	|
% 47.08/16.35  																																	| Equations (434) can reduce 177 to:
% 47.08/16.35  																																	| (311) $false
% 47.08/16.35  																																	|
% 47.08/16.35  																																	|-The branch is then unsatisfiable
% 47.08/16.35  																																|-Branch two:
% 47.08/16.35  																																| (418)  ~ (all_0_78_78 = e3)
% 47.08/16.35  																																| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.08/16.35  																																|
% 47.08/16.35  																																	+-Applying beta-rule and splitting (775), into two cases.
% 47.08/16.35  																																	|-Branch one:
% 47.08/16.35  																																	| (789) all_0_82_82 = e3
% 47.08/16.35  																																	|
% 47.08/16.35  																																		| Combining equations (530,789) yields a new equation:
% 47.08/16.35  																																		| (548) e3 = e2
% 47.08/16.35  																																		|
% 47.08/16.35  																																		| Equations (548) can reduce 169 to:
% 47.08/16.35  																																		| (311) $false
% 47.08/16.35  																																		|
% 47.08/16.35  																																		|-The branch is then unsatisfiable
% 47.08/16.35  																																	|-Branch two:
% 47.08/16.35  																																	| (793)  ~ (all_0_82_82 = e3)
% 47.08/16.35  																																	| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.08/16.35  																																	|
% 47.08/16.35  																																		+-Applying beta-rule and splitting (794), into two cases.
% 47.08/16.35  																																		|-Branch one:
% 47.08/16.35  																																		| (754) all_0_90_90 = e3
% 47.08/16.35  																																		|
% 47.08/16.35  																																			| Equations (754) can reduce 34 to:
% 47.08/16.35  																																			| (807)  ~ (all_0_93_93 = e3)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Simplifying 807 yields:
% 47.08/16.35  																																			| (602)  ~ (all_0_93_93 = e3)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			+-Applying beta-rule and splitting (65), into two cases.
% 47.08/16.35  																																			|-Branch one:
% 47.08/16.35  																																			| (522) all_0_93_93 = e2
% 47.08/16.35  																																			|
% 47.08/16.35  																																				| Equations (522) can reduce 300 to:
% 47.08/16.35  																																				| (311) $false
% 47.08/16.35  																																				|
% 47.08/16.35  																																				|-The branch is then unsatisfiable
% 47.08/16.35  																																			|-Branch two:
% 47.08/16.35  																																			| (300)  ~ (all_0_93_93 = e2)
% 47.08/16.35  																																			| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 47.08/16.35  																																			|
% 47.08/16.35  																																				+-Applying beta-rule and splitting (1627), into two cases.
% 47.08/16.35  																																				|-Branch one:
% 47.08/16.35  																																				| (453) all_0_83_83 = e2
% 47.08/16.35  																																				|
% 47.08/16.35  																																					| Equations (453) can reduce 398 to:
% 47.08/16.35  																																					| (311) $false
% 47.08/16.35  																																					|
% 47.08/16.35  																																					|-The branch is then unsatisfiable
% 47.08/16.35  																																				|-Branch two:
% 47.08/16.35  																																				| (398)  ~ (all_0_83_83 = e2)
% 47.08/16.35  																																				| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.08/16.35  																																				|
% 47.08/16.35  																																					+-Applying beta-rule and splitting (565), into two cases.
% 47.08/16.35  																																					|-Branch one:
% 47.08/16.35  																																					| (566) all_0_93_93 = e1
% 47.08/16.35  																																					|
% 47.08/16.35  																																						| Equations (566) can reduce 481 to:
% 47.08/16.35  																																						| (311) $false
% 47.08/16.35  																																						|
% 47.08/16.35  																																						|-The branch is then unsatisfiable
% 47.08/16.35  																																					|-Branch two:
% 47.08/16.35  																																					| (481)  ~ (all_0_93_93 = e1)
% 47.08/16.35  																																					| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 47.08/16.35  																																					|
% 47.08/16.35  																																						+-Applying beta-rule and splitting (8061), into two cases.
% 47.08/16.35  																																						|-Branch one:
% 47.08/16.35  																																						| (1723) all_0_91_91 = e2
% 47.08/16.35  																																						|
% 47.08/16.35  																																							+-Applying beta-rule and splitting (219), into two cases.
% 47.08/16.35  																																							|-Branch one:
% 47.08/16.35  																																							| (798) all_0_83_83 = e0
% 47.08/16.35  																																							|
% 47.08/16.35  																																								| Equations (798) can reduce 1314 to:
% 47.08/16.35  																																								| (311) $false
% 47.08/16.35  																																								|
% 47.08/16.35  																																								|-The branch is then unsatisfiable
% 47.08/16.35  																																							|-Branch two:
% 47.08/16.35  																																							| (1314)  ~ (all_0_83_83 = e0)
% 47.08/16.35  																																							| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.08/16.35  																																							|
% 47.08/16.35  																																								+-Applying beta-rule and splitting (569), into two cases.
% 47.08/16.35  																																								|-Branch one:
% 47.08/16.35  																																								| (570) all_0_93_93 = e3
% 47.08/16.35  																																								|
% 47.08/16.35  																																									| Equations (570) can reduce 602 to:
% 47.08/16.35  																																									| (311) $false
% 47.08/16.35  																																									|
% 47.08/16.35  																																									|-The branch is then unsatisfiable
% 47.08/16.35  																																								|-Branch two:
% 47.08/16.35  																																								| (602)  ~ (all_0_93_93 = e3)
% 47.08/16.35  																																								| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 47.08/16.35  																																								|
% 47.08/16.35  																																									+-Applying beta-rule and splitting (1400), into two cases.
% 47.08/16.35  																																									|-Branch one:
% 47.08/16.35  																																									| (1456) all_0_91_91 = e0
% 47.08/16.35  																																									|
% 47.08/16.35  																																										| Combining equations (1723,1456) yields a new equation:
% 47.08/16.35  																																										| (923) e2 = e0
% 47.08/16.35  																																										|
% 47.08/16.35  																																										| Simplifying 923 yields:
% 47.08/16.35  																																										| (379) e2 = e0
% 47.08/16.35  																																										|
% 47.08/16.35  																																										| Equations (379) can reduce 76 to:
% 47.08/16.35  																																										| (311) $false
% 47.08/16.35  																																										|
% 47.08/16.35  																																										|-The branch is then unsatisfiable
% 47.08/16.35  																																									|-Branch two:
% 47.08/16.35  																																									| (1487)  ~ (all_0_91_91 = e0)
% 47.08/16.35  																																									| (1837) all_0_96_96 = e0
% 47.08/16.35  																																									|
% 47.08/16.35  																																										| From (1837) and (268) follows:
% 47.08/16.35  																																										| (5798) op(e0, e0) = all_0_59_59
% 47.08/16.35  																																										|
% 47.08/16.35  																																										+-Applying beta-rule and splitting (603), into two cases.
% 47.08/16.35  																																										|-Branch one:
% 47.08/16.35  																																										| (604) all_0_93_93 = e0
% 47.08/16.35  																																										|
% 47.08/16.35  																																											| Equations (604) can reduce 13 to:
% 47.08/16.35  																																											| (2058)  ~ (all_0_98_98 = e0)
% 47.08/16.35  																																											|
% 47.08/16.35  																																											| Simplifying 2058 yields:
% 47.08/16.35  																																											| (2059)  ~ (all_0_98_98 = e0)
% 47.08/16.35  																																											|
% 47.08/16.35  																																											| From (604) and (1394) follows:
% 47.08/16.35  																																											| (3060) op(e0, e0) = e1
% 47.08/16.35  																																											|
% 47.08/16.35  																																											+-Applying beta-rule and splitting (48), into two cases.
% 47.08/16.35  																																											|-Branch one:
% 47.08/16.35  																																											| (525) all_0_98_98 = e2
% 47.08/16.35  																																											|
% 47.08/16.35  																																												| Equations (525) can reduce 1349 to:
% 47.08/16.35  																																												| (311) $false
% 47.08/16.35  																																												|
% 47.08/16.35  																																												|-The branch is then unsatisfiable
% 47.08/16.35  																																											|-Branch two:
% 47.08/16.35  																																											| (1349)  ~ (all_0_98_98 = e2)
% 47.08/16.35  																																											| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.08/16.35  																																											|
% 47.08/16.35  																																												+-Applying beta-rule and splitting (5118), into two cases.
% 47.08/16.35  																																												|-Branch one:
% 47.08/16.35  																																												| (1543) all_0_98_98 = e1
% 47.08/16.35  																																												|
% 47.08/16.35  																																													| Equations (1543) can reduce 1804 to:
% 47.08/16.35  																																													| (311) $false
% 47.08/16.35  																																													|
% 47.08/16.35  																																													|-The branch is then unsatisfiable
% 47.08/16.35  																																												|-Branch two:
% 47.08/16.35  																																												| (1804)  ~ (all_0_98_98 = e1)
% 47.08/16.35  																																												| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.08/16.35  																																												|
% 47.08/16.35  																																													+-Applying beta-rule and splitting (5122), into two cases.
% 47.08/16.35  																																													|-Branch one:
% 47.08/16.35  																																													| (969) all_0_98_98 = e3
% 47.08/16.35  																																													|
% 47.08/16.35  																																														| Equations (969) can reduce 1804 to:
% 47.08/16.35  																																														| (20)  ~ (e3 = e1)
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| From (969) and (38) follows:
% 47.08/16.35  																																														| (9794) op(e0, e0) = e3
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| Instantiating formula (262) with e0, e0, e3, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e3, yields:
% 47.08/16.35  																																														| (9858) all_0_59_59 = e3
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| Instantiating formula (262) with e0, e0, e1, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e1, yields:
% 47.08/16.35  																																														| (10607) all_0_59_59 = e1
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| Combining equations (9858,10607) yields a new equation:
% 47.08/16.35  																																														| (825) e3 = e1
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| Simplifying 825 yields:
% 47.08/16.35  																																														| (772) e3 = e1
% 47.08/16.35  																																														|
% 47.08/16.35  																																														| Equations (772) can reduce 20 to:
% 47.08/16.35  																																														| (311) $false
% 47.08/16.35  																																														|
% 47.08/16.35  																																														|-The branch is then unsatisfiable
% 47.08/16.35  																																													|-Branch two:
% 47.08/16.35  																																													| (1519)  ~ (all_0_98_98 = e3)
% 47.08/16.35  																																													| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 47.08/16.35  																																													|
% 47.08/16.35  																																														+-Applying beta-rule and splitting (5284), into two cases.
% 47.08/16.35  																																														|-Branch one:
% 47.08/16.35  																																														| (1121) all_0_98_98 = e0
% 47.08/16.35  																																														|
% 47.08/16.35  																																															| Equations (1121) can reduce 2059 to:
% 47.08/16.35  																																															| (311) $false
% 47.08/16.35  																																															|
% 47.08/16.35  																																															|-The branch is then unsatisfiable
% 47.08/16.35  																																														|-Branch two:
% 47.08/16.35  																																														| (2059)  ~ (all_0_98_98 = e0)
% 47.08/16.35  																																														| (2650) all_0_98_98 = e4
% 47.08/16.35  																																														|
% 47.08/16.35  																																															| Equations (2650) can reduce 321 to:
% 47.08/16.35  																																															| (311) $false
% 47.08/16.35  																																															|
% 47.08/16.35  																																															|-The branch is then unsatisfiable
% 47.08/16.35  																																										|-Branch two:
% 47.08/16.35  																																										| (509)  ~ (all_0_93_93 = e0)
% 47.08/16.35  																																										| (607) all_0_93_93 = e4
% 47.08/16.35  																																										|
% 47.08/16.35  																																											| Equations (607) can reduce 496 to:
% 47.08/16.35  																																											| (311) $false
% 47.08/16.35  																																											|
% 47.08/16.35  																																											|-The branch is then unsatisfiable
% 47.08/16.35  																																						|-Branch two:
% 47.08/16.35  																																						| (296)  ~ (all_0_91_91 = e2)
% 47.08/16.35  																																						| (1704) all_0_96_96 = e2
% 47.08/16.35  																																						|
% 47.08/16.35  																																							| Equations (1704) can reduce 1638 to:
% 47.08/16.35  																																							| (311) $false
% 47.08/16.35  																																							|
% 47.08/16.35  																																							|-The branch is then unsatisfiable
% 47.08/16.35  																																		|-Branch two:
% 47.08/16.35  																																		| (745)  ~ (all_0_90_90 = e3)
% 47.08/16.35  																																		| (744) all_0_95_95 = e3
% 47.08/16.35  																																		|
% 47.08/16.35  																																			| Combining equations (744,785) yields a new equation:
% 47.08/16.35  																																			| (825) e3 = e1
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Simplifying 825 yields:
% 47.08/16.35  																																			| (772) e3 = e1
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Equations (772) can reduce 20 to:
% 47.08/16.35  																																			| (311) $false
% 47.08/16.35  																																			|
% 47.08/16.35  																																			|-The branch is then unsatisfiable
% 47.08/16.35  																															|-Branch two:
% 47.08/16.35  																															| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.35  																															| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 47.08/16.35  																															|
% 47.08/16.35  																																+-Applying beta-rule and splitting (246), into two cases.
% 47.08/16.35  																																|-Branch one:
% 47.08/16.35  																																| (400) all_0_78_78 = e2
% 47.08/16.35  																																|
% 47.08/16.35  																																	| Combining equations (463,400) yields a new equation:
% 47.08/16.35  																																	| (309) e4 = e2
% 47.08/16.35  																																	|
% 47.08/16.35  																																	| Simplifying 309 yields:
% 47.08/16.35  																																	| (310) e4 = e2
% 47.08/16.35  																																	|
% 47.08/16.35  																																	| Equations (310) can reduce 79 to:
% 47.08/16.35  																																	| (311) $false
% 47.08/16.35  																																	|
% 47.08/16.35  																																	|-The branch is then unsatisfiable
% 47.08/16.35  																																|-Branch two:
% 47.08/16.35  																																| (346)  ~ (all_0_78_78 = e2)
% 47.08/16.35  																																| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.35  																																|
% 47.08/16.35  																																	+-Applying beta-rule and splitting (1627), into two cases.
% 47.08/16.35  																																	|-Branch one:
% 47.08/16.35  																																	| (453) all_0_83_83 = e2
% 47.08/16.35  																																	|
% 47.08/16.35  																																		| Equations (453) can reduce 398 to:
% 47.08/16.35  																																		| (311) $false
% 47.08/16.35  																																		|
% 47.08/16.35  																																		|-The branch is then unsatisfiable
% 47.08/16.35  																																	|-Branch two:
% 47.08/16.35  																																	| (398)  ~ (all_0_83_83 = e2)
% 47.08/16.35  																																	| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.08/16.35  																																	|
% 47.08/16.35  																																		+-Applying beta-rule and splitting (8061), into two cases.
% 47.08/16.35  																																		|-Branch one:
% 47.08/16.35  																																		| (1723) all_0_91_91 = e2
% 47.08/16.35  																																		|
% 47.08/16.35  																																			| Equations (1723) can reduce 103 to:
% 47.08/16.35  																																			| (294)  ~ (all_0_90_90 = e2)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Equations (1723) can reduce 64 to:
% 47.08/16.35  																																			| (1637)  ~ (all_0_96_96 = e2)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Simplifying 1637 yields:
% 47.08/16.35  																																			| (1638)  ~ (all_0_96_96 = e2)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			| Equations (1723) can reduce 959 to:
% 47.08/16.35  																																			| (243)  ~ (e2 = e1)
% 47.08/16.35  																																			|
% 47.08/16.35  																																			+-Applying beta-rule and splitting (219), into two cases.
% 47.08/16.35  																																			|-Branch one:
% 47.08/16.35  																																			| (798) all_0_83_83 = e0
% 47.08/16.35  																																			|
% 47.08/16.35  																																				| Equations (798) can reduce 1314 to:
% 47.08/16.35  																																				| (311) $false
% 47.08/16.35  																																				|
% 47.08/16.35  																																				|-The branch is then unsatisfiable
% 47.08/16.35  																																			|-Branch two:
% 47.08/16.35  																																			| (1314)  ~ (all_0_83_83 = e0)
% 47.08/16.36  																																			| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.08/16.36  																																			|
% 47.08/16.36  																																				+-Applying beta-rule and splitting (10), into two cases.
% 47.08/16.36  																																				|-Branch one:
% 47.08/16.36  																																				| (530) all_0_82_82 = e2
% 47.08/16.36  																																				|
% 47.08/16.36  																																					| Equations (530) can reduce 347 to:
% 47.08/16.36  																																					| (311) $false
% 47.08/16.36  																																					|
% 47.08/16.36  																																					|-The branch is then unsatisfiable
% 47.08/16.36  																																				|-Branch two:
% 47.08/16.36  																																				| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.36  																																				| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.08/16.36  																																				|
% 47.08/16.36  																																					+-Applying beta-rule and splitting (13415), into two cases.
% 47.08/16.36  																																					|-Branch one:
% 47.08/16.36  																																					| (530) all_0_82_82 = e2
% 47.08/16.36  																																					|
% 47.08/16.36  																																						| Equations (530) can reduce 347 to:
% 47.08/16.36  																																						| (311) $false
% 47.08/16.36  																																						|
% 47.08/16.36  																																						|-The branch is then unsatisfiable
% 47.08/16.36  																																					|-Branch two:
% 47.08/16.36  																																					| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.36  																																					| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.36  																																					|
% 47.08/16.36  																																						+-Applying beta-rule and splitting (1400), into two cases.
% 47.08/16.36  																																						|-Branch one:
% 47.08/16.36  																																						| (1456) all_0_91_91 = e0
% 47.08/16.36  																																						|
% 47.08/16.36  																																							| Combining equations (1456,1723) yields a new equation:
% 47.08/16.36  																																							| (379) e2 = e0
% 47.08/16.36  																																							|
% 47.08/16.36  																																							| Equations (379) can reduce 76 to:
% 47.08/16.36  																																							| (311) $false
% 47.08/16.36  																																							|
% 47.08/16.36  																																							|-The branch is then unsatisfiable
% 47.08/16.36  																																						|-Branch two:
% 47.08/16.36  																																						| (1487)  ~ (all_0_91_91 = e0)
% 47.08/16.36  																																						| (1837) all_0_96_96 = e0
% 47.08/16.36  																																						|
% 47.08/16.36  																																							| Equations (1837) can reduce 1638 to:
% 47.08/16.36  																																							| (510)  ~ (e2 = e0)
% 47.08/16.36  																																							|
% 47.08/16.36  																																							| Simplifying 510 yields:
% 47.08/16.36  																																							| (76)  ~ (e2 = e0)
% 47.08/16.36  																																							|
% 47.08/16.36  																																							+-Applying beta-rule and splitting (13419), into two cases.
% 47.08/16.36  																																							|-Branch one:
% 47.08/16.36  																																							| (345) all_0_86_86 = e2
% 47.08/16.36  																																							|
% 47.08/16.36  																																								| Combining equations (378,345) yields a new equation:
% 47.08/16.36  																																								| (379) e2 = e0
% 47.08/16.36  																																								|
% 47.08/16.36  																																								| Equations (379) can reduce 76 to:
% 47.08/16.36  																																								| (311) $false
% 47.08/16.36  																																								|
% 47.08/16.36  																																								|-The branch is then unsatisfiable
% 47.08/16.36  																																							|-Branch two:
% 47.08/16.36  																																							| (9507)  ~ (all_0_86_86 = e2)
% 47.08/16.36  																																							| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 47.08/16.36  																																							|
% 47.08/16.36  																																								+-Applying beta-rule and splitting (27), into two cases.
% 47.08/16.36  																																								|-Branch one:
% 47.08/16.36  																																								| (746) all_0_90_90 = e2
% 47.08/16.36  																																								|
% 47.08/16.36  																																									| Equations (746) can reduce 294 to:
% 47.08/16.36  																																									| (311) $false
% 47.08/16.36  																																									|
% 47.08/16.36  																																									|-The branch is then unsatisfiable
% 47.08/16.36  																																								|-Branch two:
% 47.08/16.36  																																								| (294)  ~ (all_0_90_90 = e2)
% 47.08/16.36  																																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.08/16.36  																																								|
% 47.08/16.36  																																									+-Applying beta-rule and splitting (13424), into two cases.
% 47.08/16.36  																																									|-Branch one:
% 47.08/16.36  																																									| (746) all_0_90_90 = e2
% 47.08/16.36  																																									|
% 47.08/16.36  																																										| Equations (746) can reduce 294 to:
% 47.08/16.36  																																										| (311) $false
% 47.08/16.36  																																										|
% 47.08/16.36  																																										|-The branch is then unsatisfiable
% 47.08/16.36  																																									|-Branch two:
% 47.08/16.36  																																									| (294)  ~ (all_0_90_90 = e2)
% 47.08/16.36  																																									| (767) all_0_95_95 = e2
% 47.08/16.36  																																									|
% 47.08/16.36  																																										| Combining equations (767,785) yields a new equation:
% 47.08/16.36  																																										| (408) e2 = e1
% 47.08/16.36  																																										|
% 47.08/16.36  																																										| Simplifying 408 yields:
% 47.08/16.36  																																										| (385) e2 = e1
% 47.08/16.36  																																										|
% 47.08/16.36  																																										| Equations (385) can reduce 243 to:
% 47.08/16.36  																																										| (311) $false
% 47.08/16.36  																																										|
% 47.08/16.36  																																										|-The branch is then unsatisfiable
% 47.08/16.36  																																		|-Branch two:
% 47.08/16.36  																																		| (296)  ~ (all_0_91_91 = e2)
% 47.08/16.36  																																		| (1704) all_0_96_96 = e2
% 47.08/16.36  																																		|
% 47.08/16.36  																																			| Equations (1704) can reduce 1638 to:
% 47.08/16.36  																																			| (311) $false
% 47.08/16.36  																																			|
% 47.08/16.36  																																			|-The branch is then unsatisfiable
% 47.08/16.36  																												|-Branch two:
% 47.08/16.36  																												| (840)  ~ (all_0_92_92 = e1)
% 47.08/16.36  																												| (566) all_0_93_93 = e1
% 47.08/16.36  																												|
% 47.08/16.36  																													| Equations (566) can reduce 481 to:
% 47.08/16.36  																													| (311) $false
% 47.08/16.36  																													|
% 47.08/16.36  																													|-The branch is then unsatisfiable
% 47.08/16.36  																									|-Branch two:
% 47.08/16.36  																									| (680)  ~ (all_0_95_95 = e1)
% 47.08/16.36  																									| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 47.08/16.36  																									|
% 47.08/16.36  																										+-Applying beta-rule and splitting (788), into two cases.
% 47.08/16.36  																										|-Branch one:
% 47.08/16.36  																										| (960) all_0_96_96 = e1
% 47.08/16.36  																										|
% 47.08/16.36  																											| Equations (960) can reduce 1479 to:
% 47.08/16.36  																											| (311) $false
% 47.08/16.36  																											|
% 47.08/16.36  																											|-The branch is then unsatisfiable
% 47.08/16.36  																										|-Branch two:
% 47.08/16.36  																										| (1479)  ~ (all_0_96_96 = e1)
% 47.08/16.36  																										| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 47.08/16.36  																										|
% 47.08/16.36  																											+-Applying beta-rule and splitting (188), into two cases.
% 47.08/16.36  																											|-Branch one:
% 47.08/16.36  																											| (676) all_0_78_78 = e1
% 47.08/16.36  																											|
% 47.08/16.36  																												| Combining equations (463,676) yields a new equation:
% 47.08/16.36  																												| (813) e4 = e1
% 47.08/16.36  																												|
% 47.08/16.36  																												| Simplifying 813 yields:
% 47.08/16.36  																												| (814) e4 = e1
% 47.08/16.36  																												|
% 47.08/16.36  																												| Equations (814) can reduce 256 to:
% 47.08/16.36  																												| (311) $false
% 47.08/16.36  																												|
% 47.08/16.36  																												|-The branch is then unsatisfiable
% 47.08/16.36  																											|-Branch two:
% 47.08/16.36  																											| (1601)  ~ (all_0_78_78 = e1)
% 47.08/16.36  																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.08/16.36  																											|
% 47.08/16.36  																												+-Applying beta-rule and splitting (99), into two cases.
% 47.08/16.36  																												|-Branch one:
% 47.08/16.36  																												| (767) all_0_95_95 = e2
% 47.08/16.36  																												|
% 47.08/16.36  																													| Equations (767) can reduce 355 to:
% 47.08/16.36  																													| (311) $false
% 47.08/16.36  																													|
% 47.08/16.36  																													|-The branch is then unsatisfiable
% 47.08/16.36  																												|-Branch two:
% 47.08/16.36  																												| (355)  ~ (all_0_95_95 = e2)
% 47.08/16.36  																												| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.08/16.36  																												|
% 47.08/16.36  																													+-Applying beta-rule and splitting (770), into two cases.
% 47.08/16.36  																													|-Branch one:
% 47.08/16.36  																													| (785) all_0_95_95 = e1
% 47.08/16.36  																													|
% 47.08/16.36  																														| Equations (785) can reduce 680 to:
% 47.08/16.36  																														| (311) $false
% 47.08/16.36  																														|
% 47.08/16.36  																														|-The branch is then unsatisfiable
% 47.08/16.36  																													|-Branch two:
% 47.08/16.36  																													| (680)  ~ (all_0_95_95 = e1)
% 47.08/16.36  																													| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.08/16.36  																													|
% 47.08/16.36  																														+-Applying beta-rule and splitting (853), into two cases.
% 47.08/16.36  																														|-Branch one:
% 47.08/16.36  																														| (744) all_0_95_95 = e3
% 47.08/16.36  																														|
% 47.08/16.36  																															| Equations (744) can reduce 680 to:
% 47.08/16.36  																															| (20)  ~ (e3 = e1)
% 47.08/16.36  																															|
% 47.08/16.36  																															+-Applying beta-rule and splitting (1718), into two cases.
% 47.08/16.36  																															|-Branch one:
% 47.08/16.36  																															| (384) all_0_86_86 = e1
% 47.08/16.36  																															|
% 47.08/16.36  																																| Combining equations (378,384) yields a new equation:
% 47.08/16.36  																																| (865) e1 = e0
% 47.08/16.36  																																|
% 47.08/16.36  																																| Equations (865) can reduce 264 to:
% 47.08/16.36  																																| (311) $false
% 47.08/16.36  																																|
% 47.08/16.36  																																|-The branch is then unsatisfiable
% 47.08/16.36  																															|-Branch two:
% 47.08/16.36  																															| (387)  ~ (all_0_86_86 = e1)
% 47.08/16.36  																															| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.08/16.36  																															|
% 47.08/16.36  																																+-Applying beta-rule and splitting (2122), into two cases.
% 47.08/16.36  																																|-Branch one:
% 47.08/16.36  																																| (750) all_0_90_90 = e1
% 47.08/16.36  																																|
% 47.08/16.36  																																	| Equations (750) can reduce 467 to:
% 47.08/16.36  																																	| (681)  ~ (e4 = e1)
% 47.08/16.36  																																	|
% 47.08/16.36  																																	| Simplifying 681 yields:
% 47.08/16.36  																																	| (256)  ~ (e4 = e1)
% 47.08/16.36  																																	|
% 47.08/16.36  																																	+-Applying beta-rule and splitting (2126), into two cases.
% 47.08/16.36  																																	|-Branch one:
% 47.08/16.36  																																	| (542) all_0_97_97 = e1
% 47.08/16.36  																																	|
% 47.08/16.36  																																		| Combining equations (542,610) yields a new equation:
% 47.08/16.36  																																		| (814) e4 = e1
% 47.08/16.36  																																		|
% 47.08/16.36  																																		| Equations (814) can reduce 256 to:
% 47.08/16.36  																																		| (311) $false
% 47.08/16.36  																																		|
% 47.08/16.36  																																		|-The branch is then unsatisfiable
% 47.08/16.36  																																	|-Branch two:
% 47.08/16.36  																																	| (486)  ~ (all_0_97_97 = e1)
% 47.08/16.36  																																	| (1543) all_0_98_98 = e1
% 47.08/16.36  																																	|
% 47.08/16.36  																																		| Equations (1543) can reduce 1804 to:
% 47.08/16.36  																																		| (311) $false
% 47.08/16.36  																																		|
% 47.08/16.36  																																		|-The branch is then unsatisfiable
% 47.08/16.36  																																|-Branch two:
% 47.08/16.36  																																| (678)  ~ (all_0_90_90 = e1)
% 47.08/16.36  																																| (785) all_0_95_95 = e1
% 47.08/16.36  																																|
% 47.08/16.36  																																	| Combining equations (744,785) yields a new equation:
% 47.08/16.36  																																	| (825) e3 = e1
% 47.08/16.36  																																	|
% 47.08/16.36  																																	| Simplifying 825 yields:
% 47.08/16.36  																																	| (772) e3 = e1
% 47.08/16.36  																																	|
% 47.08/16.36  																																	| Equations (772) can reduce 20 to:
% 47.08/16.36  																																	| (311) $false
% 47.08/16.36  																																	|
% 47.08/16.36  																																	|-The branch is then unsatisfiable
% 47.08/16.36  																														|-Branch two:
% 47.08/16.36  																														| (765)  ~ (all_0_95_95 = e3)
% 47.08/16.36  																														| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.08/16.36  																														|
% 47.08/16.36  																															+-Applying beta-rule and splitting (857), into two cases.
% 47.08/16.36  																															|-Branch one:
% 47.08/16.36  																															| (858) all_0_95_95 = e0
% 47.08/16.36  																															|
% 47.08/16.36  																																| Equations (858) can reduce 893 to:
% 47.08/16.36  																																| (311) $false
% 47.08/16.36  																																|
% 47.08/16.36  																																|-The branch is then unsatisfiable
% 47.08/16.36  																															|-Branch two:
% 47.08/16.36  																															| (893)  ~ (all_0_95_95 = e0)
% 47.08/16.36  																															| (894) all_0_95_95 = e4
% 47.08/16.36  																															|
% 47.08/16.36  																																| Equations (894) can reduce 315 to:
% 47.08/16.36  																																| (311) $false
% 47.08/16.36  																																|
% 47.08/16.36  																																|-The branch is then unsatisfiable
% 47.08/16.36  																							|-Branch two:
% 47.08/16.36  																							| (919)  ~ (all_0_84_84 = e0)
% 47.08/16.36  																							| (438) all_0_84_84 = e4
% 47.08/16.36  																							|
% 47.08/16.36  																								| Equations (438) can reduce 417 to:
% 47.08/16.36  																								| (311) $false
% 47.08/16.36  																								|
% 47.08/16.36  																								|-The branch is then unsatisfiable
% 47.08/16.36  																			|-Branch two:
% 47.08/16.36  																			| (396)  ~ (all_0_81_81 = e2)
% 47.08/16.36  																			| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.08/16.36  																			|
% 47.08/16.36  																				+-Applying beta-rule and splitting (476), into two cases.
% 47.08/16.36  																				|-Branch one:
% 47.08/16.36  																				| (477) all_0_81_81 = e1
% 47.08/16.36  																				|
% 47.08/16.36  																					| Equations (477) can reduce 628 to:
% 47.08/16.36  																					| (311) $false
% 47.08/16.36  																					|
% 47.08/16.36  																					|-The branch is then unsatisfiable
% 47.08/16.36  																				|-Branch two:
% 47.08/16.36  																				| (628)  ~ (all_0_81_81 = e1)
% 47.08/16.36  																				| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.08/16.36  																				|
% 47.08/16.36  																					+-Applying beta-rule and splitting (629), into two cases.
% 47.08/16.36  																					|-Branch one:
% 47.08/16.36  																					| (635) all_0_81_81 = e3
% 47.08/16.36  																					|
% 47.08/16.36  																						| Equations (635) can reduce 420 to:
% 47.08/16.36  																						| (311) $false
% 47.08/16.36  																						|
% 47.08/16.36  																						|-The branch is then unsatisfiable
% 47.08/16.36  																					|-Branch two:
% 47.08/16.36  																					| (420)  ~ (all_0_81_81 = e3)
% 47.08/16.36  																					| (638) all_0_81_81 = e4
% 47.08/16.36  																					|
% 47.08/16.36  																						| Equations (638) can reduce 634 to:
% 47.08/16.36  																						| (311) $false
% 47.08/16.36  																						|
% 47.08/16.36  																						|-The branch is then unsatisfiable
% 47.08/16.36  												|-Branch two:
% 47.08/16.36  												| (461)  ~ (all_0_79_79 = e1)
% 47.08/16.36  												| (1708) all_0_79_79 = e3
% 47.08/16.36  												|
% 47.08/16.36  													| Equations (1708) can reduce 1711 to:
% 47.08/16.36  													| (311) $false
% 47.08/16.36  													|
% 47.08/16.36  													|-The branch is then unsatisfiable
% 47.08/16.36  								|-Branch two:
% 47.08/16.36  								| (479)  ~ (all_0_88_88 = e1)
% 47.08/16.36  								| (507) all_0_88_88 = e0
% 47.08/16.36  								|
% 47.08/16.36  									| Equations (507) can reduce 1110 to:
% 47.08/16.36  									| (311) $false
% 47.08/16.36  									|
% 47.08/16.36  									|-The branch is then unsatisfiable
% 47.08/16.36  							|-Branch two:
% 47.08/16.36  							| (381)  ~ (all_0_86_86 = e0)
% 47.08/16.36  							| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 47.08/16.36  							|
% 47.08/16.36  								+-Applying beta-rule and splitting (382), into two cases.
% 47.08/16.36  								|-Branch one:
% 47.08/16.36  								| (861) all_0_87_87 = e0
% 47.08/16.36  								|
% 47.08/16.36  									| Combining equations (861,374) yields a new equation:
% 47.08/16.36  									| (379) e2 = e0
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (379) can reduce 76 to:
% 47.08/16.36  									| (311) $false
% 47.08/16.36  									|
% 47.08/16.36  									|-The branch is then unsatisfiable
% 47.08/16.36  								|-Branch two:
% 47.08/16.36  								| (889)  ~ (all_0_87_87 = e0)
% 47.08/16.36  								| (507) all_0_88_88 = e0
% 47.08/16.36  								|
% 47.08/16.36  									| Equations (507) can reduce 266 to:
% 47.08/16.36  									| (257)  ~ (all_0_81_81 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 78 to:
% 47.08/16.36  									| (800)  ~ (all_0_85_85 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 80 to:
% 47.08/16.36  									| (381)  ~ (all_0_86_86 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 286 to:
% 47.08/16.36  									| (508)  ~ (all_0_93_93 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Simplifying 508 yields:
% 47.08/16.36  									| (509)  ~ (all_0_93_93 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 31 to:
% 47.08/16.36  									| (2058)  ~ (all_0_98_98 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Simplifying 2058 yields:
% 47.08/16.36  									| (2059)  ~ (all_0_98_98 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 93 to:
% 47.08/16.36  									| (904)  ~ (e4 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Simplifying 904 yields:
% 47.08/16.36  									| (23)  ~ (e4 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 191 to:
% 47.08/16.36  									| (906)  ~ (e3 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Simplifying 906 yields:
% 47.08/16.36  									| (50)  ~ (e3 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Equations (507) can reduce 351 to:
% 47.08/16.36  									| (510)  ~ (e2 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| Simplifying 510 yields:
% 47.08/16.36  									| (76)  ~ (e2 = e0)
% 47.08/16.36  									|
% 47.08/16.36  									| From (507) and (253) follows:
% 47.08/16.37  									| (38626) op(e0, e2) = all_0_19_19
% 47.08/16.37  									|
% 47.08/16.37  									| From (507) and (141) follows:
% 47.08/16.37  									| (38627) op(e0, e0) = all_0_20_20
% 47.08/16.37  									|
% 47.08/16.37  									| From (507) and (161) follows:
% 47.08/16.37  									| (2169) op(e2, e0) = all_0_74_74
% 47.08/16.37  									|
% 47.08/16.37  									| From (507) and (230) follows:
% 47.08/16.37  									| (2170) op(e2, e0) = e0
% 47.08/16.37  									|
% 47.08/16.37  									| From (507) and (239) follows:
% 47.08/16.37  									| (1338) op(e0, e0) = all_0_73_73
% 47.08/16.37  									|
% 47.08/16.37  									+-Applying beta-rule and splitting (42), into two cases.
% 47.08/16.37  									|-Branch one:
% 47.08/16.37  									| (384) all_0_86_86 = e1
% 47.08/16.37  									|
% 47.08/16.37  										| Equations (384) can reduce 82 to:
% 47.08/16.37  										| (1601)  ~ (all_0_78_78 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 81 to:
% 47.08/16.37  										| (198)  ~ (all_0_82_82 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 139 to:
% 47.08/16.37  										| (677)  ~ (all_0_90_90 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Simplifying 677 yields:
% 47.08/16.37  										| (678)  ~ (all_0_90_90 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 91 to:
% 47.08/16.37  										| (679)  ~ (all_0_95_95 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Simplifying 679 yields:
% 47.08/16.37  										| (680)  ~ (all_0_95_95 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 241 to:
% 47.08/16.37  										| (681)  ~ (e4 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Simplifying 681 yields:
% 47.08/16.37  										| (256)  ~ (e4 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 134 to:
% 47.08/16.37  										| (683)  ~ (e3 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Simplifying 683 yields:
% 47.08/16.37  										| (20)  ~ (e3 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 9507 to:
% 47.08/16.37  										| (487)  ~ (e2 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Simplifying 487 yields:
% 47.08/16.37  										| (243)  ~ (e2 = e1)
% 47.08/16.37  										|
% 47.08/16.37  										| Equations (384) can reduce 381 to:
% 47.08/16.37  										| (264)  ~ (e1 = e0)
% 47.08/16.37  										|
% 47.08/16.37  										| From (384) and (74) follows:
% 47.08/16.37  										| (18843) op(e1, e3) = all_0_16_16
% 47.08/16.37  										|
% 47.08/16.37  										| From (384) and (130) follows:
% 47.08/16.37  										| (18844) op(e1, e2) = all_0_15_15
% 47.08/16.37  										|
% 47.08/16.37  										| From (384) and (110) follows:
% 47.08/16.37  										| (13661) op(e3, e1) = all_0_46_46
% 47.08/16.37  										|
% 47.08/16.37  										| From (384) and (167) follows:
% 47.08/16.37  										| (13662) op(e2, e1) = all_0_47_47
% 47.08/16.37  										|
% 47.08/16.37  										| From (384) and (245) follows:
% 47.08/16.37  										| (1844) op(e2, e3) = e1
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e3, e1, all_0_46_46, all_0_84_84 and discharging atoms op(e3, e1) = all_0_46_46, op(e3, e1) = all_0_84_84, yields:
% 47.08/16.37  										| (13664) all_0_46_46 = all_0_84_84
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e2, e1, all_0_47_47, e2 and discharging atoms op(e2, e1) = all_0_47_47, op(e2, e1) = e2, yields:
% 47.08/16.37  										| (13665) all_0_47_47 = e2
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e2, e0, e0, all_0_74_74 and discharging atoms op(e2, e0) = all_0_74_74, op(e2, e0) = e0, yields:
% 47.08/16.37  										| (1965) all_0_74_74 = e0
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e1, e3, all_0_16_16, all_0_90_90 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = all_0_90_90, yields:
% 47.08/16.37  										| (18872) all_0_16_16 = all_0_90_90
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e1, e2, all_0_15_15, all_0_91_91 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = all_0_91_91, yields:
% 47.08/16.37  										| (18873) all_0_15_15 = all_0_91_91
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e0, e2, all_0_19_19, all_0_96_96 and discharging atoms op(e0, e2) = all_0_19_19, op(e0, e2) = all_0_96_96, yields:
% 47.08/16.37  										| (38655) all_0_19_19 = all_0_96_96
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e0, e0, all_0_20_20, all_0_98_98 and discharging atoms op(e0, e0) = all_0_20_20, op(e0, e0) = all_0_98_98, yields:
% 47.08/16.37  										| (38656) all_0_20_20 = all_0_98_98
% 47.08/16.37  										|
% 47.08/16.37  										| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_20_20 and discharging atoms op(e0, e0) = all_0_20_20, op(e0, e0) = all_0_73_73, yields:
% 47.08/16.37  										| (38657) all_0_20_20 = all_0_73_73
% 47.08/16.37  										|
% 47.08/16.38  										| Combining equations (38656,38657) yields a new equation:
% 47.08/16.38  										| (1370) all_0_73_73 = all_0_98_98
% 47.08/16.38  										|
% 47.08/16.38  										| From (13665) and (13662) follows:
% 47.08/16.38  										| (9530) op(e2, e1) = e2
% 47.08/16.38  										|
% 47.08/16.38  										| From (1965) and (2169) follows:
% 47.08/16.38  										| (2170) op(e2, e0) = e0
% 47.08/16.38  										|
% 47.08/16.38  										| From (18872) and (18843) follows:
% 47.08/16.38  										| (218) op(e1, e3) = all_0_90_90
% 47.08/16.38  										|
% 47.08/16.38  										| From (18873) and (18844) follows:
% 47.08/16.38  										| (3) op(e1, e2) = all_0_91_91
% 47.08/16.38  										|
% 47.08/16.38  										| From (38655) and (38626) follows:
% 47.08/16.38  										| (59) op(e0, e2) = all_0_96_96
% 47.08/16.38  										|
% 47.08/16.38  										| From (1370) and (1338) follows:
% 47.08/16.38  										| (38) op(e0, e0) = all_0_98_98
% 47.08/16.38  										|
% 47.08/16.38  										+-Applying beta-rule and splitting (52), into two cases.
% 47.08/16.38  										|-Branch one:
% 47.08/16.38  										| (453) all_0_83_83 = e2
% 47.08/16.38  										|
% 47.08/16.38  											| Equations (453) can reduce 272 to:
% 47.08/16.38  											| (1622)  ~ (all_0_79_79 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Equations (453) can reduce 223 to:
% 47.08/16.38  											| (1631)  ~ (all_0_84_84 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Simplifying 1631 yields:
% 47.08/16.38  											| (612)  ~ (all_0_84_84 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Equations (453) can reduce 226 to:
% 47.08/16.38  											| (691)  ~ (all_0_85_85 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Simplifying 691 yields:
% 47.08/16.38  											| (515)  ~ (all_0_85_85 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Equations (453) can reduce 146 to:
% 47.08/16.38  											| (295)  ~ (all_0_91_91 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Simplifying 295 yields:
% 47.08/16.38  											| (296)  ~ (all_0_91_91 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Equations (453) can reduce 211 to:
% 47.08/16.38  											| (1637)  ~ (all_0_96_96 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Simplifying 1637 yields:
% 47.08/16.38  											| (1638)  ~ (all_0_96_96 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Equations (453) can reduce 155 to:
% 47.08/16.38  											| (528)  ~ (e4 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| Simplifying 528 yields:
% 47.08/16.38  											| (79)  ~ (e4 = e2)
% 47.08/16.38  											|
% 47.08/16.38  											| From (453) and (29) follows:
% 47.08/16.38  											| (1641) op(e2, e3) = all_0_9_9
% 47.08/16.38  											|
% 47.08/16.38  											| From (453) and (234) follows:
% 47.08/16.38  											| (1642) op(e2, e2) = all_0_10_10
% 47.08/16.38  											|
% 47.08/16.38  											| From (453) and (163) follows:
% 47.08/16.38  											| (13410) op(e3, e2) = all_0_55_55
% 47.08/16.38  											|
% 47.08/16.38  											| From (453) and (174) follows:
% 47.08/16.38  											| (13287) op(e3, e2) = e2
% 47.08/16.38  											|
% 47.08/16.38  											| From (453) and (206) follows:
% 47.08/16.38  											| (1643) op(e2, e2) = all_0_54_54
% 47.08/16.38  											|
% 47.08/16.38  											| Instantiating formula (262) with e3, e2, e2, all_0_55_55 and discharging atoms op(e3, e2) = all_0_55_55, op(e3, e2) = e2, yields:
% 47.08/16.38  											| (12242) all_0_55_55 = e2
% 47.08/16.38  											|
% 47.08/16.38  											| Instantiating formula (262) with e2, e3, all_0_9_9, e1 and discharging atoms op(e2, e3) = all_0_9_9, op(e2, e3) = e1, yields:
% 47.08/16.38  											| (19097) all_0_9_9 = e1
% 47.08/16.38  											|
% 47.08/16.38  											| Instantiating formula (262) with e2, e2, all_0_10_10, e4 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = e4, yields:
% 47.08/16.38  											| (1645) all_0_10_10 = e4
% 47.08/16.38  											|
% 47.08/16.38  											| Instantiating formula (262) with e2, e2, all_0_54_54, all_0_10_10 and discharging atoms op(e2, e2) = all_0_10_10, op(e2, e2) = all_0_54_54, yields:
% 47.08/16.38  											| (1646) all_0_10_10 = all_0_54_54
% 47.08/16.38  											|
% 47.08/16.38  											| Combining equations (1645,1646) yields a new equation:
% 47.08/16.38  											| (1647) all_0_54_54 = e4
% 47.08/16.38  											|
% 47.08/16.38  											| From (12242) and (13410) follows:
% 47.08/16.38  											| (13287) op(e3, e2) = e2
% 47.08/16.38  											|
% 47.08/16.38  											| From (19097) and (1641) follows:
% 47.08/16.38  											| (1844) op(e2, e3) = e1
% 47.08/16.38  											|
% 47.08/16.38  											+-Applying beta-rule and splitting (219), into two cases.
% 47.08/16.38  											|-Branch one:
% 47.08/16.38  											| (798) all_0_83_83 = e0
% 47.08/16.38  											|
% 47.08/16.38  												| Combining equations (453,798) yields a new equation:
% 47.08/16.38  												| (923) e2 = e0
% 47.08/16.38  												|
% 47.08/16.38  												| Simplifying 923 yields:
% 47.08/16.38  												| (379) e2 = e0
% 47.08/16.38  												|
% 47.08/16.38  												| Equations (379) can reduce 76 to:
% 47.08/16.38  												| (311) $false
% 47.08/16.38  												|
% 47.08/16.38  												|-The branch is then unsatisfiable
% 47.08/16.38  											|-Branch two:
% 47.08/16.38  											| (1314)  ~ (all_0_83_83 = e0)
% 47.08/16.38  											| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.08/16.38  											|
% 47.08/16.38  												+-Applying beta-rule and splitting (101), into two cases.
% 47.08/16.38  												|-Branch one:
% 47.08/16.38  												| (400) all_0_78_78 = e2
% 47.08/16.38  												|
% 47.08/16.38  													| Equations (400) can reduce 66 to:
% 47.08/16.38  													| (9970)  ~ (all_0_79_79 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Simplifying 9970 yields:
% 47.08/16.38  													| (1622)  ~ (all_0_79_79 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Equations (400) can reduce 67 to:
% 47.08/16.38  													| (393)  ~ (all_0_80_80 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Simplifying 393 yields:
% 47.08/16.38  													| (394)  ~ (all_0_80_80 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Equations (400) can reduce 278 to:
% 47.08/16.38  													| (395)  ~ (all_0_81_81 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Simplifying 395 yields:
% 47.08/16.38  													| (396)  ~ (all_0_81_81 = e2)
% 47.08/16.38  													|
% 47.08/16.38  													| Equations (400) can reduce 193 to:
% 47.08/16.38  													| (9974)  ~ (all_0_82_82 = e2)
% 47.08/16.38  													|
% 47.08/16.39  													| Simplifying 9974 yields:
% 47.08/16.39  													| (347)  ~ (all_0_82_82 = e2)
% 47.08/16.39  													|
% 47.08/16.39  													| Equations (400) can reduce 125 to:
% 47.08/16.39  													| (354)  ~ (all_0_95_95 = e2)
% 47.08/16.39  													|
% 47.08/16.39  													| Simplifying 354 yields:
% 47.08/16.39  													| (355)  ~ (all_0_95_95 = e2)
% 47.08/16.39  													|
% 47.08/16.39  													| Equations (400) can reduce 1601 to:
% 47.08/16.39  													| (243)  ~ (e2 = e1)
% 47.08/16.39  													|
% 47.08/16.39  													| Equations (400) can reduce 86 to:
% 47.08/16.39  													| (76)  ~ (e2 = e0)
% 47.08/16.39  													|
% 47.08/16.39  													| From (400) and (138) follows:
% 47.08/16.39  													| (9983) op(e3, e2) = all_0_43_43
% 47.08/16.39  													|
% 47.08/16.39  													+-Applying beta-rule and splitting (205), into two cases.
% 47.08/16.39  													|-Branch one:
% 47.08/16.39  													| (473) all_0_81_81 = e2
% 47.08/16.39  													|
% 47.08/16.39  														| Equations (473) can reduce 396 to:
% 47.08/16.39  														| (311) $false
% 47.08/16.39  														|
% 47.08/16.39  														|-The branch is then unsatisfiable
% 47.08/16.39  													|-Branch two:
% 47.08/16.39  													| (396)  ~ (all_0_81_81 = e2)
% 47.08/16.39  													| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 47.08/16.39  													|
% 47.08/16.39  														+-Applying beta-rule and splitting (503), into two cases.
% 47.08/16.39  														|-Branch one:
% 47.08/16.39  														| (512) all_0_85_85 = e2
% 47.08/16.39  														|
% 47.08/16.39  															| Equations (512) can reduce 515 to:
% 47.08/16.39  															| (311) $false
% 47.08/16.39  															|
% 47.08/16.39  															|-The branch is then unsatisfiable
% 47.08/16.39  														|-Branch two:
% 47.08/16.39  														| (515)  ~ (all_0_85_85 = e2)
% 47.08/16.39  														| (516) all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 47.08/16.39  														|
% 47.08/16.39  															+-Applying beta-rule and splitting (516), into two cases.
% 47.08/16.39  															|-Branch one:
% 47.08/16.39  															| (370) all_0_88_88 = e2
% 47.08/16.39  															|
% 47.08/16.39  																| Combining equations (370,507) yields a new equation:
% 47.08/16.39  																| (923) e2 = e0
% 47.08/16.39  																|
% 47.08/16.39  																| Simplifying 923 yields:
% 47.08/16.39  																| (379) e2 = e0
% 47.08/16.39  																|
% 47.08/16.39  																| Equations (379) can reduce 76 to:
% 47.08/16.39  																| (311) $false
% 47.08/16.39  																|
% 47.08/16.39  																|-The branch is then unsatisfiable
% 47.08/16.39  															|-Branch two:
% 47.08/16.39  															| (351)  ~ (all_0_88_88 = e2)
% 47.08/16.39  															| (521) all_0_93_93 = e2 | all_0_98_98 = e2
% 47.08/16.39  															|
% 47.08/16.39  																+-Applying beta-rule and splitting (521), into two cases.
% 47.08/16.39  																|-Branch one:
% 47.08/16.39  																| (522) all_0_93_93 = e2
% 47.08/16.39  																|
% 47.08/16.39  																	| Equations (522) can reduce 277 to:
% 47.08/16.39  																	| (396)  ~ (all_0_81_81 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 201 to:
% 47.08/16.39  																	| (515)  ~ (all_0_85_85 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 34 to:
% 47.08/16.39  																	| (294)  ~ (all_0_90_90 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 44 to:
% 47.08/16.39  																	| (296)  ~ (all_0_91_91 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 283 to:
% 47.08/16.39  																	| (298)  ~ (all_0_92_92 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 13 to:
% 47.08/16.39  																	| (1348)  ~ (all_0_98_98 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Simplifying 1348 yields:
% 47.08/16.39  																	| (1349)  ~ (all_0_98_98 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 496 to:
% 47.08/16.39  																	| (528)  ~ (e4 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Simplifying 528 yields:
% 47.08/16.39  																	| (79)  ~ (e4 = e2)
% 47.08/16.39  																	|
% 47.08/16.39  																	| Equations (522) can reduce 509 to:
% 47.08/16.39  																	| (76)  ~ (e2 = e0)
% 47.08/16.39  																	|
% 47.08/16.39  																	| From (522) and (21) follows:
% 47.08/16.39  																	| (30811) op(e1, e2) = all_0_76_76
% 47.08/16.39  																	|
% 47.08/16.39  																	| From (522) and (231) follows:
% 47.08/16.39  																	| (4519) op(e1, e0) = e2
% 47.08/16.39  																	|
% 47.08/16.39  																	| From (522) and (173) follows:
% 47.16/16.39  																	| (31272) op(e0, e2) = all_0_75_75
% 47.16/16.39  																	|
% 47.16/16.39  																	| Instantiating formula (262) with e3, e2, all_0_43_43, e2 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e2, yields:
% 47.16/16.39  																	| (689) all_0_43_43 = e2
% 47.16/16.39  																	|
% 47.16/16.39  																	| Instantiating formula (262) with e1, e2, all_0_76_76, all_0_91_91 and discharging atoms op(e1, e2) = all_0_76_76, op(e1, e2) = all_0_91_91, yields:
% 47.16/16.39  																	| (30812) all_0_76_76 = all_0_91_91
% 47.16/16.39  																	|
% 47.16/16.39  																	| Instantiating formula (262) with e0, e2, all_0_75_75, all_0_96_96 and discharging atoms op(e0, e2) = all_0_75_75, op(e0, e2) = all_0_96_96, yields:
% 47.16/16.39  																	| (31273) all_0_75_75 = all_0_96_96
% 47.16/16.39  																	|
% 47.16/16.39  																	+-Applying beta-rule and splitting (56), into two cases.
% 47.16/16.39  																	|-Branch one:
% 47.16/16.39  																	| (463) all_0_78_78 = e4
% 47.16/16.39  																	|
% 47.16/16.39  																		| Combining equations (400,463) yields a new equation:
% 47.16/16.39  																		| (310) e4 = e2
% 47.16/16.39  																		|
% 47.16/16.39  																		| Equations (310) can reduce 79 to:
% 47.16/16.39  																		| (311) $false
% 47.16/16.39  																		|
% 47.16/16.39  																		|-The branch is then unsatisfiable
% 47.16/16.39  																	|-Branch two:
% 47.16/16.39  																	| (640)  ~ (all_0_78_78 = e4)
% 47.16/16.39  																	| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.16/16.39  																	|
% 47.16/16.39  																		| Equations (400) can reduce 640 to:
% 47.16/16.39  																		| (528)  ~ (e4 = e2)
% 47.16/16.39  																		|
% 47.16/16.39  																		| Simplifying 528 yields:
% 47.16/16.39  																		| (79)  ~ (e4 = e2)
% 47.16/16.39  																		|
% 47.16/16.39  																		+-Applying beta-rule and splitting (108), into two cases.
% 47.16/16.39  																		|-Branch one:
% 47.16/16.39  																		| (477) all_0_81_81 = e1
% 47.16/16.39  																		|
% 47.16/16.39  																			| Equations (477) can reduce 15 to:
% 47.16/16.39  																			| (461)  ~ (all_0_79_79 = e1)
% 47.16/16.39  																			|
% 47.16/16.39  																			| Equations (477) can reduce 5 to:
% 47.16/16.39  																			| (1803)  ~ (all_0_98_98 = e1)
% 47.16/16.39  																			|
% 47.16/16.39  																			| Simplifying 1803 yields:
% 47.16/16.39  																			| (1804)  ~ (all_0_98_98 = e1)
% 47.16/16.39  																			|
% 47.16/16.39  																			| Equations (477) can reduce 257 to:
% 47.16/16.39  																			| (264)  ~ (e1 = e0)
% 47.16/16.39  																			|
% 47.16/16.39  																			| From (477) and (145) follows:
% 47.16/16.39  																			| (14221) op(e0, e1) = all_0_69_69
% 47.16/16.39  																			|
% 47.16/16.39  																			+-Applying beta-rule and splitting (1623), into two cases.
% 47.16/16.39  																			|-Branch one:
% 47.16/16.39  																			| (457) all_0_79_79 = e1
% 47.16/16.39  																			|
% 47.16/16.39  																				| Equations (457) can reduce 461 to:
% 47.16/16.39  																				| (311) $false
% 47.16/16.39  																				|
% 47.16/16.39  																				|-The branch is then unsatisfiable
% 47.16/16.39  																			|-Branch two:
% 47.16/16.39  																			| (461)  ~ (all_0_79_79 = e1)
% 47.16/16.39  																			| (1708) all_0_79_79 = e3
% 47.16/16.39  																			|
% 47.16/16.39  																				| Equations (1708) can reduce 63 to:
% 47.16/16.39  																				| (3267)  ~ (all_0_80_80 = e3)
% 47.16/16.39  																				|
% 47.16/16.39  																				| Simplifying 3267 yields:
% 47.16/16.39  																				| (2347)  ~ (all_0_80_80 = e3)
% 47.16/16.39  																				|
% 47.16/16.39  																				| Equations (1708) can reduce 17 to:
% 47.16/16.39  																				| (1298)  ~ (all_0_91_91 = e3)
% 47.16/16.39  																				|
% 47.16/16.39  																				| Simplifying 1298 yields:
% 47.16/16.39  																				| (571)  ~ (all_0_91_91 = e3)
% 47.16/16.39  																				|
% 47.16/16.39  																				| Equations (1708) can reduce 1622 to:
% 47.16/16.39  																				| (169)  ~ (e3 = e2)
% 47.16/16.39  																				|
% 47.16/16.39  																				| Equations (1708) can reduce 461 to:
% 47.16/16.39  																				| (20)  ~ (e3 = e1)
% 47.16/16.39  																				|
% 47.16/16.39  																				| From (1708) and (184) follows:
% 47.16/16.39  																				| (11003) op(e2, e3) = all_0_52_52
% 47.16/16.39  																				|
% 47.16/16.39  																				+-Applying beta-rule and splitting (641), into two cases.
% 47.16/16.39  																				|-Branch one:
% 47.16/16.39  																				| (433) all_0_80_80 = e4
% 47.16/16.39  																				|
% 47.16/16.39  																					| Equations (433) can reduce 273 to:
% 47.16/16.39  																					| (662)  ~ (all_0_84_84 = e4)
% 47.16/16.39  																					|
% 47.16/16.39  																					| Simplifying 662 yields:
% 47.16/16.39  																					| (417)  ~ (all_0_84_84 = e4)
% 47.16/16.39  																					|
% 47.16/16.39  																					| Equations (433) can reduce 202 to:
% 47.16/16.39  																					| (318)  ~ (all_0_97_97 = e4)
% 47.16/16.39  																					|
% 47.16/16.39  																					| Simplifying 318 yields:
% 47.16/16.39  																					| (319)  ~ (all_0_97_97 = e4)
% 47.16/16.39  																					|
% 47.16/16.39  																					| Equations (433) can reduce 2347 to:
% 47.16/16.39  																					| (177)  ~ (e4 = e3)
% 47.16/16.39  																					|
% 47.16/16.39  																					| Instantiating formula (262) with e2, e3, all_0_52_52, e1 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e1, yields:
% 47.16/16.39  																					| (15841) all_0_52_52 = e1
% 47.16/16.39  																					|
% 47.16/16.39  																					| Instantiating formula (262) with e0, e1, all_0_69_69, all_0_97_97 and discharging atoms op(e0, e1) = all_0_69_69, op(e0, e1) = all_0_97_97, yields:
% 47.16/16.39  																					| (14241) all_0_69_69 = all_0_97_97
% 47.16/16.39  																					|
% 47.16/16.39  																					+-Applying beta-rule and splitting (127), into two cases.
% 47.16/16.39  																					|-Branch one:
% 47.16/16.39  																					| (457) all_0_79_79 = e1
% 47.16/16.39  																					|
% 47.16/16.39  																						| Combining equations (1708,457) yields a new equation:
% 47.16/16.39  																						| (825) e3 = e1
% 47.16/16.39  																						|
% 47.16/16.39  																						| Simplifying 825 yields:
% 47.16/16.39  																						| (772) e3 = e1
% 47.16/16.39  																						|
% 47.16/16.39  																						| Equations (772) can reduce 20 to:
% 47.16/16.39  																						| (311) $false
% 47.16/16.39  																						|
% 47.16/16.39  																						|-The branch is then unsatisfiable
% 47.16/16.39  																					|-Branch two:
% 47.16/16.39  																					| (461)  ~ (all_0_79_79 = e1)
% 47.16/16.39  																					| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.16/16.39  																					|
% 47.16/16.39  																						| Equations (1708) can reduce 461 to:
% 47.16/16.39  																						| (20)  ~ (e3 = e1)
% 47.16/16.39  																						|
% 47.16/16.39  																						+-Applying beta-rule and splitting (109), into two cases.
% 47.16/16.39  																						|-Branch one:
% 47.16/16.39  																						| (469) all_0_82_82 = e4
% 47.16/16.39  																						|
% 47.16/16.39  																							| Equations (469) can reduce 7 to:
% 47.16/16.39  																							| (662)  ~ (all_0_84_84 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Simplifying 662 yields:
% 47.16/16.39  																							| (417)  ~ (all_0_84_84 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Equations (469) can reduce 209 to:
% 47.16/16.39  																							| (647)  ~ (all_0_85_85 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Simplifying 647 yields:
% 47.16/16.39  																							| (648)  ~ (all_0_85_85 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Equations (469) can reduce 200 to:
% 47.16/16.39  																							| (314)  ~ (all_0_95_95 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Simplifying 314 yields:
% 47.16/16.39  																							| (315)  ~ (all_0_95_95 = e4)
% 47.16/16.39  																							|
% 47.16/16.39  																							| Equations (469) can reduce 347 to:
% 47.16/16.39  																							| (79)  ~ (e4 = e2)
% 47.16/16.39  																							|
% 47.16/16.39  																							| From (469) and (61) follows:
% 47.16/16.39  																							| (671) op(e3, e3) = e4
% 47.16/16.39  																							|
% 47.16/16.39  																							+-Applying beta-rule and splitting (182), into two cases.
% 47.16/16.39  																							|-Branch one:
% 47.16/16.39  																							| (512) all_0_85_85 = e2
% 47.16/16.39  																							|
% 47.16/16.39  																								| Equations (512) can reduce 515 to:
% 47.16/16.39  																								| (311) $false
% 47.16/16.39  																								|
% 47.16/16.39  																								|-The branch is then unsatisfiable
% 47.16/16.39  																							|-Branch two:
% 47.16/16.39  																							| (515)  ~ (all_0_85_85 = e2)
% 47.16/16.39  																							| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.16/16.39  																							|
% 47.16/16.39  																								+-Applying beta-rule and splitting (725), into two cases.
% 47.16/16.39  																								|-Branch one:
% 47.16/16.39  																								| (804) all_0_85_85 = e3
% 47.16/16.39  																								|
% 47.16/16.39  																									| Equations (804) can reduce 154 to:
% 47.16/16.39  																									| (422)  ~ (all_0_84_84 = e3)
% 47.16/16.39  																									|
% 47.16/16.39  																									| Equations (804) can reduce 75 to:
% 47.16/16.39  																									| (1518)  ~ (all_0_98_98 = e3)
% 47.16/16.39  																									|
% 47.16/16.39  																									| Simplifying 1518 yields:
% 47.16/16.39  																									| (1519)  ~ (all_0_98_98 = e3)
% 47.16/16.39  																									|
% 47.16/16.39  																									| From (804) and (197) follows:
% 47.16/16.39  																									| (811) op(e3, e3) = all_0_72_72
% 47.16/16.39  																									|
% 47.16/16.39  																									| From (804) and (8) follows:
% 47.16/16.39  																									| (1048) op(e3, e0) = e3
% 47.16/16.39  																									|
% 47.16/16.39  																									| From (804) and (26) follows:
% 47.16/16.39  																									| (1891) op(e0, e3) = all_0_71_71
% 47.16/16.39  																									|
% 47.16/16.39  																									+-Applying beta-rule and splitting (92), into two cases.
% 47.16/16.39  																									|-Branch one:
% 47.16/16.39  																									| (552) all_0_84_84 = e2
% 47.16/16.39  																									|
% 47.16/16.39  																										| Equations (552) can reduce 612 to:
% 47.16/16.39  																										| (311) $false
% 47.16/16.39  																										|
% 47.16/16.39  																										|-The branch is then unsatisfiable
% 47.16/16.39  																									|-Branch two:
% 47.16/16.39  																									| (612)  ~ (all_0_84_84 = e2)
% 47.16/16.39  																									| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.16/16.39  																									|
% 47.16/16.39  																										+-Applying beta-rule and splitting (140), into two cases.
% 47.16/16.39  																										|-Branch one:
% 47.16/16.39  																										| (313) all_0_94_94 = e4
% 47.16/16.39  																										|
% 47.16/16.39  																											| Combining equations (1757,313) yields a new equation:
% 47.16/16.39  																											| (310) e4 = e2
% 47.16/16.39  																											|
% 47.16/16.39  																											| Equations (310) can reduce 79 to:
% 47.16/16.39  																											| (311) $false
% 47.16/16.39  																											|
% 47.16/16.39  																											|-The branch is then unsatisfiable
% 47.16/16.39  																										|-Branch two:
% 47.16/16.40  																										| (34849)  ~ (all_0_94_94 = e4)
% 47.16/16.40  																										| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.16/16.40  																										|
% 47.16/16.40  																											+-Applying beta-rule and splitting (617), into two cases.
% 47.16/16.40  																											|-Branch one:
% 47.16/16.40  																											| (1265) all_0_84_84 = e3
% 47.16/16.40  																											|
% 47.16/16.40  																												| Equations (1265) can reduce 422 to:
% 47.16/16.40  																												| (311) $false
% 47.16/16.40  																												|
% 47.16/16.40  																												|-The branch is then unsatisfiable
% 47.16/16.40  																											|-Branch two:
% 47.16/16.40  																											| (422)  ~ (all_0_84_84 = e3)
% 47.16/16.40  																											| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.16/16.40  																											|
% 47.16/16.40  																												+-Applying beta-rule and splitting (1268), into two cases.
% 47.16/16.40  																												|-Branch one:
% 47.16/16.40  																												| (916) all_0_84_84 = e0
% 47.16/16.40  																												|
% 47.16/16.40  																													| Combining equations (916,13664) yields a new equation:
% 47.16/16.40  																													| (10066) all_0_46_46 = e0
% 47.16/16.40  																													|
% 47.16/16.40  																													| Equations (916) can reduce 259 to:
% 47.16/16.40  																													| (859)  ~ (e1 = e0)
% 47.16/16.40  																													|
% 47.16/16.40  																													| Simplifying 859 yields:
% 47.16/16.40  																													| (264)  ~ (e1 = e0)
% 47.16/16.40  																													|
% 47.16/16.40  																													+-Applying beta-rule and splitting (34850), into two cases.
% 47.16/16.40  																													|-Branch one:
% 47.16/16.40  																													| (894) all_0_95_95 = e4
% 47.16/16.40  																													|
% 47.16/16.40  																														| Equations (894) can reduce 315 to:
% 47.16/16.40  																														| (311) $false
% 47.16/16.40  																														|
% 47.16/16.40  																														|-The branch is then unsatisfiable
% 47.16/16.40  																													|-Branch two:
% 47.16/16.40  																													| (315)  ~ (all_0_95_95 = e4)
% 47.16/16.40  																													| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.16/16.40  																													|
% 47.16/16.40  																														+-Applying beta-rule and splitting (34882), into two cases.
% 47.16/16.40  																														|-Branch one:
% 47.16/16.40  																														| (610) all_0_97_97 = e4
% 47.16/16.40  																														|
% 47.16/16.40  																															| Equations (610) can reduce 319 to:
% 47.16/16.40  																															| (311) $false
% 47.16/16.40  																															|
% 47.16/16.40  																															|-The branch is then unsatisfiable
% 47.16/16.40  																														|-Branch two:
% 47.16/16.40  																														| (319)  ~ (all_0_97_97 = e4)
% 47.16/16.40  																														| (2650) all_0_98_98 = e4
% 47.16/16.40  																														|
% 47.16/16.40  																															| Combining equations (2650,1370) yields a new equation:
% 47.16/16.40  																															| (32048) all_0_73_73 = e4
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 107 to:
% 47.16/16.40  																															| (315)  ~ (all_0_95_95 = e4)
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 148 to:
% 47.16/16.40  																															| (319)  ~ (all_0_97_97 = e4)
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 1519 to:
% 47.16/16.40  																															| (177)  ~ (e4 = e3)
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 1349 to:
% 47.16/16.40  																															| (79)  ~ (e4 = e2)
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 1804 to:
% 47.16/16.40  																															| (256)  ~ (e4 = e1)
% 47.16/16.40  																															|
% 47.16/16.40  																															| Equations (2650) can reduce 2059 to:
% 47.16/16.40  																															| (23)  ~ (e4 = e0)
% 47.16/16.40  																															|
% 47.16/16.40  																															| From (2650) and (38) follows:
% 47.16/16.40  																															| (37418) op(e0, e0) = e4
% 47.16/16.40  																															|
% 47.16/16.40  																															| Instantiating formula (262) with e3, e3, e4, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e4, yields:
% 47.16/16.40  																															| (844) all_0_72_72 = e4
% 47.16/16.40  																															|
% 47.16/16.40  																															| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 47.16/16.40  																															| (14316) all_0_71_71 = all_0_95_95
% 47.16/16.40  																															|
% 47.16/16.40  																															| From (844) and (811) follows:
% 47.16/16.40  																															| (671) op(e3, e3) = e4
% 47.16/16.40  																															|
% 47.16/16.40  																															+-Applying beta-rule and splitting (33), into two cases.
% 47.16/16.40  																															|-Branch one:
% 47.16/16.40  																															| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.16/16.40  																															|
% 47.16/16.40  																																+-Applying beta-rule and splitting (1686), into two cases.
% 47.16/16.40  																																|-Branch one:
% 47.16/16.40  																																| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.16/16.40  																																|
% 47.16/16.40  																																	+-Applying beta-rule and splitting (1687), into two cases.
% 47.16/16.40  																																	|-Branch one:
% 47.16/16.40  																																	| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.16/16.40  																																	|
% 47.16/16.40  																																		| Applying alpha-rule on (1688) yields:
% 47.16/16.40  																																		| (1689) all_0_52_52 = e4
% 47.16/16.40  																																		| (1690)  ~ (all_0_53_53 = e2)
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Combining equations (1689,15841) yields a new equation:
% 47.16/16.40  																																		| (813) e4 = e1
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Simplifying 813 yields:
% 47.16/16.40  																																		| (814) e4 = e1
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Equations (814) can reduce 256 to:
% 47.16/16.40  																																		| (311) $false
% 47.16/16.40  																																		|
% 47.16/16.40  																																		|-The branch is then unsatisfiable
% 47.16/16.40  																																	|-Branch two:
% 47.16/16.40  																																	| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.16/16.40  																																	|
% 47.16/16.40  																																		| Applying alpha-rule on (1694) yields:
% 47.16/16.40  																																		| (1695) all_0_54_54 = e3
% 47.16/16.40  																																		| (1696)  ~ (all_0_55_55 = e2)
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Combining equations (1647,1695) yields a new equation:
% 47.16/16.40  																																		| (790) e4 = e3
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Simplifying 790 yields:
% 47.16/16.40  																																		| (434) e4 = e3
% 47.16/16.40  																																		|
% 47.16/16.40  																																		| Equations (434) can reduce 177 to:
% 47.16/16.40  																																		| (311) $false
% 47.16/16.40  																																		|
% 47.16/16.40  																																		|-The branch is then unsatisfiable
% 47.16/16.40  																																|-Branch two:
% 47.16/16.40  																																| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.16/16.40  																																|
% 47.16/16.40  																																	| Applying alpha-rule on (1700) yields:
% 47.16/16.40  																																	| (1701) all_0_56_56 = e1
% 47.16/16.40  																																	| (1702)  ~ (all_0_57_57 = e2)
% 47.16/16.40  																																	|
% 47.16/16.40  																																	| From (1701) and (222) follows:
% 47.16/16.40  																																	| (1703) op(e2, all_0_91_91) = e1
% 47.16/16.40  																																	|
% 47.16/16.40  																																	+-Applying beta-rule and splitting (291), into two cases.
% 47.16/16.40  																																	|-Branch one:
% 47.16/16.40  																																	| (758) all_0_90_90 = e0
% 47.16/16.40  																																	|
% 47.16/16.40  																																		| Equations (758) can reduce 103 to:
% 47.16/16.40  																																		| (1830)  ~ (all_0_91_91 = e0)
% 47.16/16.40  																																		|
% 47.16/16.41  																																		| Simplifying 1830 yields:
% 47.16/16.41  																																		| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.41  																																		|
% 47.16/16.41  																																		| Equations (758) can reduce 678 to:
% 47.16/16.41  																																		| (859)  ~ (e1 = e0)
% 47.16/16.41  																																		|
% 47.16/16.41  																																		| Simplifying 859 yields:
% 47.16/16.41  																																		| (264)  ~ (e1 = e0)
% 47.16/16.41  																																		|
% 47.16/16.41  																																		+-Applying beta-rule and splitting (1400), into two cases.
% 47.16/16.41  																																		|-Branch one:
% 47.16/16.41  																																		| (1456) all_0_91_91 = e0
% 47.16/16.41  																																		|
% 47.16/16.41  																																			| Equations (1456) can reduce 1487 to:
% 47.16/16.41  																																			| (311) $false
% 47.16/16.41  																																			|
% 47.16/16.41  																																			|-The branch is then unsatisfiable
% 47.16/16.41  																																		|-Branch two:
% 47.16/16.41  																																		| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.41  																																		| (1837) all_0_96_96 = e0
% 47.16/16.41  																																		|
% 47.16/16.41  																																			| Combining equations (1837,31273) yields a new equation:
% 47.16/16.41  																																			| (38862) all_0_75_75 = e0
% 47.16/16.41  																																			|
% 47.16/16.41  																																			| Equations (1837) can reduce 279 to:
% 47.16/16.41  																																			| (893)  ~ (all_0_95_95 = e0)
% 47.16/16.41  																																			|
% 47.16/16.41  																																			| Equations (1837) can reduce 22 to:
% 47.16/16.41  																																			| (938)  ~ (all_0_97_97 = e0)
% 47.16/16.41  																																			|
% 47.16/16.41  																																			| Simplifying 938 yields:
% 47.16/16.41  																																			| (609)  ~ (all_0_97_97 = e0)
% 47.16/16.41  																																			|
% 47.16/16.41  																																			+-Applying beta-rule and splitting (176), into two cases.
% 47.16/16.41  																																			|-Branch one:
% 47.16/16.41  																																			| (785) all_0_95_95 = e1
% 47.16/16.41  																																			|
% 47.16/16.41  																																				| Equations (785) can reduce 680 to:
% 47.16/16.41  																																				| (311) $false
% 47.16/16.41  																																				|
% 47.16/16.41  																																				|-The branch is then unsatisfiable
% 47.16/16.41  																																			|-Branch two:
% 47.16/16.41  																																			| (680)  ~ (all_0_95_95 = e1)
% 47.16/16.41  																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 47.16/16.41  																																			|
% 47.16/16.41  																																				+-Applying beta-rule and splitting (284), into two cases.
% 47.16/16.41  																																				|-Branch one:
% 47.16/16.41  																																				| (1723) all_0_91_91 = e2
% 47.16/16.41  																																				|
% 47.16/16.41  																																					| Equations (1723) can reduce 296 to:
% 47.16/16.41  																																					| (311) $false
% 47.16/16.41  																																					|
% 47.16/16.41  																																					|-The branch is then unsatisfiable
% 47.16/16.41  																																				|-Branch two:
% 47.16/16.41  																																				| (296)  ~ (all_0_91_91 = e2)
% 47.16/16.41  																																				| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.16/16.41  																																				|
% 47.16/16.41  																																					+-Applying beta-rule and splitting (89), into two cases.
% 47.16/16.41  																																					|-Branch one:
% 47.16/16.41  																																					| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.16/16.41  																																					|
% 47.16/16.41  																																						+-Applying beta-rule and splitting (1373), into two cases.
% 47.16/16.41  																																						|-Branch one:
% 47.16/16.41  																																						| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.16/16.41  																																						|
% 47.16/16.41  																																							+-Applying beta-rule and splitting (1374), into two cases.
% 47.16/16.41  																																							|-Branch one:
% 47.16/16.41  																																							| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.16/16.41  																																							|
% 47.16/16.41  																																								| Applying alpha-rule on (1375) yields:
% 47.16/16.41  																																								| (1376) all_0_69_69 = e4
% 47.16/16.41  																																								| (1377)  ~ (all_0_70_70 = e0)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Combining equations (1376,14241) yields a new equation:
% 47.16/16.41  																																								| (610) all_0_97_97 = e4
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Equations (610) can reduce 319 to:
% 47.16/16.41  																																								| (311) $false
% 47.16/16.41  																																								|
% 47.16/16.41  																																								|-The branch is then unsatisfiable
% 47.16/16.41  																																							|-Branch two:
% 47.16/16.41  																																							| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.16/16.41  																																							|
% 47.16/16.41  																																								| Applying alpha-rule on (1379) yields:
% 47.16/16.41  																																								| (1380) all_0_71_71 = e3
% 47.16/16.41  																																								| (1381)  ~ (all_0_72_72 = e0)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Combining equations (14316,1380) yields a new equation:
% 47.16/16.41  																																								| (15854) all_0_95_95 = e3
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Simplifying 15854 yields:
% 47.16/16.41  																																								| (744) all_0_95_95 = e3
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Equations (744) can reduce 105 to:
% 47.16/16.41  																																								| (427)  ~ (all_0_97_97 = e3)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Simplifying 427 yields:
% 47.16/16.41  																																								| (428)  ~ (all_0_97_97 = e3)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Equations (744) can reduce 315 to:
% 47.16/16.41  																																								| (783)  ~ (e4 = e3)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Simplifying 783 yields:
% 47.16/16.41  																																								| (177)  ~ (e4 = e3)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								| Equations (744) can reduce 893 to:
% 47.16/16.41  																																								| (50)  ~ (e3 = e0)
% 47.16/16.41  																																								|
% 47.16/16.41  																																								+-Applying beta-rule and splitting (788), into two cases.
% 47.16/16.41  																																								|-Branch one:
% 47.16/16.41  																																								| (960) all_0_96_96 = e1
% 47.16/16.41  																																								|
% 47.16/16.41  																																									| Combining equations (1837,960) yields a new equation:
% 47.16/16.41  																																									| (865) e1 = e0
% 47.16/16.41  																																									|
% 47.16/16.41  																																									| Equations (865) can reduce 264 to:
% 47.16/16.41  																																									| (311) $false
% 47.16/16.41  																																									|
% 47.16/16.41  																																									|-The branch is then unsatisfiable
% 47.16/16.41  																																								|-Branch two:
% 47.16/16.41  																																								| (1479)  ~ (all_0_96_96 = e1)
% 47.16/16.41  																																								| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 47.16/16.41  																																								|
% 47.16/16.41  																																									+-Applying beta-rule and splitting (2126), into two cases.
% 47.16/16.41  																																									|-Branch one:
% 47.16/16.41  																																									| (542) all_0_97_97 = e1
% 47.16/16.41  																																									|
% 47.16/16.41  																																										| Equations (542) can reduce 258 to:
% 47.16/16.41  																																										| (840)  ~ (all_0_92_92 = e1)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Equations (542) can reduce 428 to:
% 47.16/16.41  																																										| (683)  ~ (e3 = e1)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Simplifying 683 yields:
% 47.16/16.41  																																										| (20)  ~ (e3 = e1)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Equations (542) can reduce 527 to:
% 47.16/16.41  																																										| (487)  ~ (e2 = e1)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Simplifying 487 yields:
% 47.16/16.41  																																										| (243)  ~ (e2 = e1)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Equations (542) can reduce 609 to:
% 47.16/16.41  																																										| (264)  ~ (e1 = e0)
% 47.16/16.41  																																										|
% 47.16/16.41  																																										+-Applying beta-rule and splitting (207), into two cases.
% 47.16/16.41  																																										|-Branch one:
% 47.16/16.41  																																										| (416) all_0_80_80 = e3
% 47.16/16.41  																																										|
% 47.16/16.41  																																											| Combining equations (433,416) yields a new equation:
% 47.16/16.41  																																											| (790) e4 = e3
% 47.16/16.41  																																											|
% 47.16/16.41  																																											| Simplifying 790 yields:
% 47.16/16.41  																																											| (434) e4 = e3
% 47.16/16.41  																																											|
% 47.16/16.41  																																											| Equations (434) can reduce 177 to:
% 47.16/16.41  																																											| (311) $false
% 47.16/16.41  																																											|
% 47.16/16.41  																																											|-The branch is then unsatisfiable
% 47.16/16.41  																																										|-Branch two:
% 47.16/16.41  																																										| (2347)  ~ (all_0_80_80 = e3)
% 47.16/16.41  																																										| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.16/16.41  																																										|
% 47.16/16.41  																																											+-Applying beta-rule and splitting (132), into two cases.
% 47.16/16.41  																																											|-Branch one:
% 47.16/16.41  																																											| (750) all_0_90_90 = e1
% 47.16/16.41  																																											|
% 47.16/16.41  																																												| Combining equations (758,750) yields a new equation:
% 47.16/16.41  																																												| (865) e1 = e0
% 47.16/16.41  																																												|
% 47.16/16.41  																																												| Equations (865) can reduce 264 to:
% 47.16/16.41  																																												| (311) $false
% 47.16/16.41  																																												|
% 47.16/16.41  																																												|-The branch is then unsatisfiable
% 47.16/16.41  																																											|-Branch two:
% 47.16/16.41  																																											| (678)  ~ (all_0_90_90 = e1)
% 47.16/16.41  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.41  																																											|
% 47.16/16.41  																																												+-Applying beta-rule and splitting (2481), into two cases.
% 47.16/16.41  																																												|-Branch one:
% 47.16/16.41  																																												| (1265) all_0_84_84 = e3
% 47.16/16.41  																																												|
% 47.16/16.41  																																													| Combining equations (916,1265) yields a new equation:
% 47.16/16.41  																																													| (600) e3 = e0
% 47.16/16.41  																																													|
% 47.16/16.41  																																													| Equations (600) can reduce 50 to:
% 47.16/16.41  																																													| (311) $false
% 47.16/16.41  																																													|
% 47.16/16.41  																																													|-The branch is then unsatisfiable
% 47.16/16.41  																																												|-Branch two:
% 47.16/16.41  																																												| (422)  ~ (all_0_84_84 = e3)
% 47.16/16.41  																																												| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.16/16.41  																																												|
% 47.16/16.41  																																													+-Applying beta-rule and splitting (3765), into two cases.
% 47.16/16.41  																																													|-Branch one:
% 47.16/16.41  																																													| (882) all_0_92_92 = e3
% 47.16/16.41  																																													|
% 47.16/16.41  																																														| Equations (882) can reduce 840 to:
% 47.16/16.41  																																														| (20)  ~ (e3 = e1)
% 47.16/16.41  																																														|
% 47.16/16.41  																																														+-Applying beta-rule and splitting (1526), into two cases.
% 47.16/16.41  																																														|-Branch one:
% 47.16/16.41  																																														| (801) all_0_91_91 = e1
% 47.16/16.41  																																														|
% 47.16/16.41  																																															| Equations (801) can reduce 296 to:
% 47.16/16.41  																																															| (487)  ~ (e2 = e1)
% 47.16/16.41  																																															|
% 47.16/16.41  																																															| Simplifying 487 yields:
% 47.16/16.41  																																															| (243)  ~ (e2 = e1)
% 47.16/16.41  																																															|
% 47.16/16.41  																																															| From (801) and (1703) follows:
% 47.16/16.41  																																															| (13258) op(e2, e1) = e1
% 47.16/16.41  																																															|
% 47.16/16.41  																																															| Instantiating formula (262) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 47.16/16.41  																																															| (385) e2 = e1
% 47.16/16.41  																																															|
% 47.16/16.41  																																															| Equations (385) can reduce 243 to:
% 47.16/16.41  																																															| (311) $false
% 47.16/16.41  																																															|
% 47.16/16.41  																																															|-The branch is then unsatisfiable
% 47.16/16.41  																																														|-Branch two:
% 47.16/16.41  																																														| (959)  ~ (all_0_91_91 = e1)
% 47.16/16.41  																																														| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.41  																																														|
% 47.16/16.41  																																															+-Applying beta-rule and splitting (1556), into two cases.
% 47.16/16.41  																																															|-Branch one:
% 47.16/16.41  																																															| (836) all_0_92_92 = e1
% 47.16/16.41  																																															|
% 47.16/16.41  																																																| Combining equations (882,836) yields a new equation:
% 47.16/16.41  																																																| (825) e3 = e1
% 47.16/16.41  																																																|
% 47.16/16.41  																																																| Simplifying 825 yields:
% 47.16/16.41  																																																| (772) e3 = e1
% 47.16/16.41  																																																|
% 47.16/16.41  																																																| Equations (772) can reduce 20 to:
% 47.16/16.41  																																																| (311) $false
% 47.16/16.41  																																																|
% 47.16/16.41  																																																|-The branch is then unsatisfiable
% 47.16/16.41  																																															|-Branch two:
% 47.16/16.41  																																															| (840)  ~ (all_0_92_92 = e1)
% 47.16/16.41  																																															| (566) all_0_93_93 = e1
% 47.16/16.41  																																															|
% 47.16/16.41  																																																| Combining equations (522,566) yields a new equation:
% 47.16/16.41  																																																| (408) e2 = e1
% 47.16/16.41  																																																|
% 47.16/16.41  																																																| Simplifying 408 yields:
% 47.16/16.41  																																																| (385) e2 = e1
% 47.16/16.41  																																																|
% 47.16/16.41  																																																| Equations (385) can reduce 243 to:
% 47.16/16.41  																																																| (311) $false
% 47.16/16.41  																																																|
% 47.16/16.41  																																																|-The branch is then unsatisfiable
% 47.16/16.41  																																													|-Branch two:
% 47.16/16.41  																																													| (426)  ~ (all_0_92_92 = e3)
% 47.16/16.41  																																													| (556) all_0_97_97 = e3
% 47.16/16.41  																																													|
% 47.16/16.41  																																														| Combining equations (542,556) yields a new equation:
% 47.16/16.41  																																														| (772) e3 = e1
% 47.16/16.41  																																														|
% 47.16/16.41  																																														| Equations (772) can reduce 20 to:
% 47.16/16.41  																																														| (311) $false
% 47.16/16.41  																																														|
% 47.16/16.41  																																														|-The branch is then unsatisfiable
% 47.16/16.41  																																									|-Branch two:
% 47.16/16.41  																																									| (486)  ~ (all_0_97_97 = e1)
% 47.16/16.41  																																									| (1543) all_0_98_98 = e1
% 47.16/16.41  																																									|
% 47.16/16.41  																																										| Combining equations (1543,2650) yields a new equation:
% 47.16/16.41  																																										| (814) e4 = e1
% 47.16/16.41  																																										|
% 47.16/16.41  																																										| Equations (814) can reduce 256 to:
% 47.16/16.41  																																										| (311) $false
% 47.16/16.41  																																										|
% 47.16/16.41  																																										|-The branch is then unsatisfiable
% 47.16/16.41  																																						|-Branch two:
% 47.16/16.41  																																						| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.16/16.41  																																						|
% 47.16/16.41  																																							| Applying alpha-rule on (1385) yields:
% 47.16/16.41  																																							| (1386) all_0_73_73 = e2
% 47.16/16.41  																																							| (1387)  ~ (all_0_74_74 = e0)
% 47.16/16.41  																																							|
% 47.16/16.42  																																							| Combining equations (1386,32048) yields a new equation:
% 47.16/16.42  																																							| (310) e4 = e2
% 47.16/16.42  																																							|
% 47.16/16.42  																																							| Equations (310) can reduce 79 to:
% 47.16/16.42  																																							| (311) $false
% 47.16/16.42  																																							|
% 47.16/16.42  																																							|-The branch is then unsatisfiable
% 47.16/16.42  																																					|-Branch two:
% 47.16/16.42  																																					| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.16/16.42  																																					|
% 47.16/16.42  																																						| Applying alpha-rule on (1391) yields:
% 47.16/16.42  																																						| (1392) all_0_75_75 = e1
% 47.16/16.42  																																						| (1393)  ~ (all_0_76_76 = e0)
% 47.16/16.42  																																						|
% 47.16/16.42  																																						| Combining equations (38862,1392) yields a new equation:
% 47.16/16.42  																																						| (865) e1 = e0
% 47.16/16.42  																																						|
% 47.16/16.42  																																						| Equations (865) can reduce 264 to:
% 47.16/16.42  																																						| (311) $false
% 47.16/16.42  																																						|
% 47.16/16.42  																																						|-The branch is then unsatisfiable
% 47.16/16.42  																																	|-Branch two:
% 47.16/16.42  																																	| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.42  																																	| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.16/16.42  																																	|
% 47.16/16.42  																																		+-Applying beta-rule and splitting (254), into two cases.
% 47.16/16.42  																																		|-Branch one:
% 47.16/16.42  																																		| (910) all_0_82_82 = e0
% 47.16/16.42  																																		|
% 47.16/16.42  																																			| Combining equations (910,469) yields a new equation:
% 47.16/16.42  																																			| (912) e4 = e0
% 47.16/16.42  																																			|
% 47.16/16.42  																																			| Equations (912) can reduce 23 to:
% 47.16/16.42  																																			| (311) $false
% 47.16/16.42  																																			|
% 47.16/16.42  																																			|-The branch is then unsatisfiable
% 47.16/16.42  																																		|-Branch two:
% 47.16/16.42  																																		| (914)  ~ (all_0_82_82 = e0)
% 47.16/16.42  																																		| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.16/16.42  																																		|
% 47.16/16.42  																																			+-Applying beta-rule and splitting (915), into two cases.
% 47.16/16.42  																																			|-Branch one:
% 47.16/16.42  																																			| (378) all_0_86_86 = e0
% 47.16/16.42  																																			|
% 47.16/16.42  																																				| Combining equations (384,378) yields a new equation:
% 47.16/16.42  																																				| (1107) e1 = e0
% 47.16/16.42  																																				|
% 47.16/16.42  																																				| Simplifying 1107 yields:
% 47.16/16.42  																																				| (865) e1 = e0
% 47.16/16.42  																																				|
% 47.16/16.42  																																				| Equations (865) can reduce 264 to:
% 47.16/16.42  																																				| (311) $false
% 47.16/16.42  																																				|
% 47.16/16.42  																																				|-The branch is then unsatisfiable
% 47.16/16.42  																																			|-Branch two:
% 47.16/16.42  																																			| (381)  ~ (all_0_86_86 = e0)
% 47.16/16.42  																																			| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.16/16.42  																																			|
% 47.16/16.42  																																				+-Applying beta-rule and splitting (1455), into two cases.
% 47.16/16.42  																																				|-Branch one:
% 47.16/16.42  																																				| (1456) all_0_91_91 = e0
% 47.16/16.42  																																				|
% 47.16/16.42  																																					| Combining equations (1456,30812) yields a new equation:
% 47.16/16.42  																																					| (8960) all_0_76_76 = e0
% 47.16/16.42  																																					|
% 47.16/16.42  																																					| Equations (1456) can reduce 103 to:
% 47.16/16.42  																																					| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.42  																																					|
% 47.16/16.42  																																					| Equations (1456) can reduce 571 to:
% 47.16/16.42  																																					| (906)  ~ (e3 = e0)
% 47.16/16.42  																																					|
% 47.16/16.42  																																					| Simplifying 906 yields:
% 47.16/16.42  																																					| (50)  ~ (e3 = e0)
% 47.16/16.42  																																					|
% 47.16/16.42  																																					+-Applying beta-rule and splitting (927), into two cases.
% 47.16/16.42  																																					|-Branch one:
% 47.16/16.42  																																					| (758) all_0_90_90 = e0
% 47.16/16.42  																																					|
% 47.16/16.42  																																						| Equations (758) can reduce 762 to:
% 47.16/16.42  																																						| (311) $false
% 47.16/16.42  																																						|
% 47.16/16.42  																																						|-The branch is then unsatisfiable
% 47.16/16.42  																																					|-Branch two:
% 47.16/16.42  																																					| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.42  																																					| (858) all_0_95_95 = e0
% 47.16/16.42  																																					|
% 47.16/16.42  																																						| Combining equations (858,14316) yields a new equation:
% 47.16/16.42  																																						| (9860) all_0_71_71 = e0
% 47.16/16.42  																																						|
% 47.16/16.42  																																						+-Applying beta-rule and splitting (89), into two cases.
% 47.16/16.42  																																						|-Branch one:
% 47.16/16.42  																																						| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.16/16.42  																																						|
% 47.16/16.42  																																							+-Applying beta-rule and splitting (1373), into two cases.
% 47.16/16.42  																																							|-Branch one:
% 47.16/16.42  																																							| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.16/16.42  																																							|
% 47.16/16.42  																																								+-Applying beta-rule and splitting (1374), into two cases.
% 47.16/16.42  																																								|-Branch one:
% 47.16/16.42  																																								| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.16/16.42  																																								|
% 47.16/16.42  																																									| Applying alpha-rule on (1375) yields:
% 47.16/16.42  																																									| (1376) all_0_69_69 = e4
% 47.16/16.42  																																									| (1377)  ~ (all_0_70_70 = e0)
% 47.16/16.42  																																									|
% 47.16/16.42  																																									| Combining equations (1376,14241) yields a new equation:
% 47.16/16.42  																																									| (610) all_0_97_97 = e4
% 47.16/16.42  																																									|
% 47.16/16.42  																																									| Equations (610) can reduce 319 to:
% 47.16/16.42  																																									| (311) $false
% 47.16/16.42  																																									|
% 47.16/16.42  																																									|-The branch is then unsatisfiable
% 47.16/16.42  																																								|-Branch two:
% 47.16/16.42  																																								| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.16/16.42  																																								|
% 47.16/16.42  																																									| Applying alpha-rule on (1379) yields:
% 47.16/16.42  																																									| (1380) all_0_71_71 = e3
% 47.16/16.42  																																									| (1381)  ~ (all_0_72_72 = e0)
% 47.16/16.42  																																									|
% 47.16/16.42  																																									| Combining equations (9860,1380) yields a new equation:
% 47.16/16.42  																																									| (600) e3 = e0
% 47.16/16.42  																																									|
% 47.16/16.42  																																									| Equations (600) can reduce 50 to:
% 47.16/16.42  																																									| (311) $false
% 47.16/16.42  																																									|
% 47.16/16.42  																																									|-The branch is then unsatisfiable
% 47.16/16.42  																																							|-Branch two:
% 47.16/16.42  																																							| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.16/16.42  																																							|
% 47.16/16.42  																																								| Applying alpha-rule on (1385) yields:
% 47.16/16.42  																																								| (1386) all_0_73_73 = e2
% 47.16/16.42  																																								| (1387)  ~ (all_0_74_74 = e0)
% 47.16/16.42  																																								|
% 47.16/16.42  																																								| Combining equations (1386,32048) yields a new equation:
% 47.16/16.42  																																								| (310) e4 = e2
% 47.16/16.42  																																								|
% 47.16/16.42  																																								| Equations (310) can reduce 79 to:
% 47.16/16.42  																																								| (311) $false
% 47.16/16.42  																																								|
% 47.16/16.42  																																								|-The branch is then unsatisfiable
% 47.16/16.42  																																						|-Branch two:
% 47.16/16.42  																																						| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.16/16.42  																																						|
% 47.16/16.42  																																							| Applying alpha-rule on (1391) yields:
% 47.16/16.42  																																							| (1392) all_0_75_75 = e1
% 47.16/16.42  																																							| (1393)  ~ (all_0_76_76 = e0)
% 47.16/16.42  																																							|
% 47.16/16.42  																																							| Equations (8960) can reduce 1393 to:
% 47.16/16.42  																																							| (311) $false
% 47.16/16.42  																																							|
% 47.16/16.42  																																							|-The branch is then unsatisfiable
% 47.16/16.42  																																				|-Branch two:
% 47.16/16.42  																																				| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.42  																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.16/16.42  																																				|
% 47.16/16.42  																																					+-Applying beta-rule and splitting (1400), into two cases.
% 47.16/16.42  																																					|-Branch one:
% 47.16/16.42  																																					| (1456) all_0_91_91 = e0
% 47.16/16.42  																																					|
% 47.16/16.42  																																						| Equations (1456) can reduce 1487 to:
% 47.16/16.42  																																						| (311) $false
% 47.16/16.42  																																						|
% 47.16/16.42  																																						|-The branch is then unsatisfiable
% 47.16/16.42  																																					|-Branch two:
% 47.16/16.42  																																					| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.42  																																					| (1837) all_0_96_96 = e0
% 47.16/16.42  																																					|
% 47.16/16.42  																																						| Equations (1837) can reduce 279 to:
% 47.16/16.42  																																						| (893)  ~ (all_0_95_95 = e0)
% 47.16/16.42  																																						|
% 47.16/16.42  																																						+-Applying beta-rule and splitting (927), into two cases.
% 47.16/16.42  																																						|-Branch one:
% 47.16/16.42  																																						| (758) all_0_90_90 = e0
% 47.16/16.42  																																						|
% 47.16/16.42  																																							| Equations (758) can reduce 762 to:
% 47.16/16.42  																																							| (311) $false
% 47.16/16.42  																																							|
% 47.16/16.42  																																							|-The branch is then unsatisfiable
% 47.16/16.42  																																						|-Branch two:
% 47.16/16.42  																																						| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.42  																																						| (858) all_0_95_95 = e0
% 47.16/16.42  																																						|
% 47.16/16.42  																																							| Equations (858) can reduce 893 to:
% 47.16/16.42  																																							| (311) $false
% 47.16/16.42  																																							|
% 47.16/16.42  																																							|-The branch is then unsatisfiable
% 47.16/16.42  																															|-Branch two:
% 47.16/16.42  																															| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.16/16.42  																															|
% 47.16/16.42  																																| Applying alpha-rule on (4957) yields:
% 47.16/16.42  																																| (4958) all_0_58_58 = e0
% 47.16/16.42  																																| (4959)  ~ (all_0_59_59 = e2)
% 47.16/16.42  																																|
% 47.16/16.42  																																+-Applying beta-rule and splitting (291), into two cases.
% 47.16/16.42  																																|-Branch one:
% 47.16/16.42  																																| (758) all_0_90_90 = e0
% 47.16/16.42  																																|
% 47.16/16.42  																																	| Equations (758) can reduce 103 to:
% 47.16/16.42  																																	| (1830)  ~ (all_0_91_91 = e0)
% 47.16/16.42  																																	|
% 47.16/16.42  																																	| Simplifying 1830 yields:
% 47.16/16.42  																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.42  																																	|
% 47.16/16.43  																																	| Equations (758) can reduce 678 to:
% 47.16/16.43  																																	| (859)  ~ (e1 = e0)
% 47.16/16.43  																																	|
% 47.16/16.43  																																	| Simplifying 859 yields:
% 47.16/16.43  																																	| (264)  ~ (e1 = e0)
% 47.16/16.43  																																	|
% 47.16/16.43  																																	| From (758) and (217) follows:
% 47.16/16.43  																																	| (13796) op(e3, e0) = all_0_48_48
% 47.16/16.43  																																	|
% 47.16/16.43  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 47.16/16.43  																																	|-Branch one:
% 47.16/16.43  																																	| (1456) all_0_91_91 = e0
% 47.16/16.43  																																	|
% 47.16/16.43  																																		| Equations (1456) can reduce 1487 to:
% 47.16/16.43  																																		| (311) $false
% 47.16/16.43  																																		|
% 47.16/16.43  																																		|-The branch is then unsatisfiable
% 47.16/16.43  																																	|-Branch two:
% 47.16/16.43  																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.43  																																	| (1837) all_0_96_96 = e0
% 47.16/16.43  																																	|
% 47.16/16.43  																																		| Combining equations (1837,31273) yields a new equation:
% 47.16/16.43  																																		| (38862) all_0_75_75 = e0
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| Equations (1837) can reduce 279 to:
% 47.16/16.43  																																		| (893)  ~ (all_0_95_95 = e0)
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| Equations (1837) can reduce 22 to:
% 47.16/16.43  																																		| (938)  ~ (all_0_97_97 = e0)
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| Simplifying 938 yields:
% 47.16/16.43  																																		| (609)  ~ (all_0_97_97 = e0)
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| Equations (1837) can reduce 1638 to:
% 47.16/16.43  																																		| (510)  ~ (e2 = e0)
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| Simplifying 510 yields:
% 47.16/16.43  																																		| (76)  ~ (e2 = e0)
% 47.16/16.43  																																		|
% 47.16/16.43  																																		| From (1837) and (268) follows:
% 47.16/16.43  																																		| (5798) op(e0, e0) = all_0_59_59
% 47.16/16.43  																																		|
% 47.16/16.43  																																		+-Applying beta-rule and splitting (176), into two cases.
% 47.16/16.43  																																		|-Branch one:
% 47.16/16.43  																																		| (785) all_0_95_95 = e1
% 47.16/16.43  																																		|
% 47.16/16.43  																																			| Equations (785) can reduce 680 to:
% 47.16/16.43  																																			| (311) $false
% 47.16/16.43  																																			|
% 47.16/16.43  																																			|-The branch is then unsatisfiable
% 47.16/16.43  																																		|-Branch two:
% 47.16/16.43  																																		| (680)  ~ (all_0_95_95 = e1)
% 47.16/16.43  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 47.16/16.43  																																		|
% 47.16/16.43  																																			+-Applying beta-rule and splitting (89), into two cases.
% 47.16/16.43  																																			|-Branch one:
% 47.16/16.43  																																			| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.16/16.43  																																			|
% 47.16/16.43  																																				+-Applying beta-rule and splitting (1373), into two cases.
% 47.16/16.43  																																				|-Branch one:
% 47.16/16.43  																																				| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.16/16.43  																																				|
% 47.16/16.43  																																					+-Applying beta-rule and splitting (1374), into two cases.
% 47.16/16.43  																																					|-Branch one:
% 47.16/16.43  																																					| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.16/16.43  																																					|
% 47.16/16.43  																																						| Applying alpha-rule on (1375) yields:
% 47.16/16.43  																																						| (1376) all_0_69_69 = e4
% 47.16/16.43  																																						| (1377)  ~ (all_0_70_70 = e0)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Combining equations (1376,14241) yields a new equation:
% 47.16/16.43  																																						| (610) all_0_97_97 = e4
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Equations (610) can reduce 319 to:
% 47.16/16.43  																																						| (311) $false
% 47.16/16.43  																																						|
% 47.16/16.43  																																						|-The branch is then unsatisfiable
% 47.16/16.43  																																					|-Branch two:
% 47.16/16.43  																																					| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.16/16.43  																																					|
% 47.16/16.43  																																						| Applying alpha-rule on (1379) yields:
% 47.16/16.43  																																						| (1380) all_0_71_71 = e3
% 47.16/16.43  																																						| (1381)  ~ (all_0_72_72 = e0)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Combining equations (14316,1380) yields a new equation:
% 47.16/16.43  																																						| (15854) all_0_95_95 = e3
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Simplifying 15854 yields:
% 47.16/16.43  																																						| (744) all_0_95_95 = e3
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Equations (844) can reduce 1381 to:
% 47.16/16.43  																																						| (23)  ~ (e4 = e0)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Equations (744) can reduce 105 to:
% 47.16/16.43  																																						| (427)  ~ (all_0_97_97 = e3)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Simplifying 427 yields:
% 47.16/16.43  																																						| (428)  ~ (all_0_97_97 = e3)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Equations (744) can reduce 315 to:
% 47.16/16.43  																																						| (783)  ~ (e4 = e3)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Simplifying 783 yields:
% 47.16/16.43  																																						| (177)  ~ (e4 = e3)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| Equations (744) can reduce 893 to:
% 47.16/16.43  																																						| (50)  ~ (e3 = e0)
% 47.16/16.43  																																						|
% 47.16/16.43  																																						| From (744) and (121) follows:
% 47.16/16.43  																																						| (10297) op(e3, e3) = all_0_50_50
% 47.16/16.43  																																						|
% 47.16/16.43  																																						+-Applying beta-rule and splitting (788), into two cases.
% 47.16/16.43  																																						|-Branch one:
% 47.16/16.43  																																						| (960) all_0_96_96 = e1
% 47.16/16.43  																																						|
% 47.16/16.43  																																							| Combining equations (1837,960) yields a new equation:
% 47.16/16.43  																																							| (865) e1 = e0
% 47.16/16.43  																																							|
% 47.16/16.43  																																							| Equations (865) can reduce 264 to:
% 47.16/16.43  																																							| (311) $false
% 47.16/16.43  																																							|
% 47.16/16.43  																																							|-The branch is then unsatisfiable
% 47.16/16.43  																																						|-Branch two:
% 47.16/16.43  																																						| (1479)  ~ (all_0_96_96 = e1)
% 47.16/16.43  																																						| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 47.16/16.43  																																						|
% 47.16/16.43  																																							+-Applying beta-rule and splitting (2126), into two cases.
% 47.16/16.43  																																							|-Branch one:
% 47.16/16.43  																																							| (542) all_0_97_97 = e1
% 47.16/16.43  																																							|
% 47.16/16.43  																																								| Equations (542) can reduce 258 to:
% 47.16/16.43  																																								| (840)  ~ (all_0_92_92 = e1)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								| Equations (542) can reduce 428 to:
% 47.16/16.43  																																								| (683)  ~ (e3 = e1)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								| Simplifying 683 yields:
% 47.16/16.43  																																								| (20)  ~ (e3 = e1)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								| Equations (542) can reduce 527 to:
% 47.16/16.43  																																								| (487)  ~ (e2 = e1)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								| Simplifying 487 yields:
% 47.16/16.43  																																								| (243)  ~ (e2 = e1)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								| Equations (542) can reduce 609 to:
% 47.16/16.43  																																								| (264)  ~ (e1 = e0)
% 47.16/16.43  																																								|
% 47.16/16.43  																																								+-Applying beta-rule and splitting (207), into two cases.
% 47.16/16.43  																																								|-Branch one:
% 47.16/16.43  																																								| (416) all_0_80_80 = e3
% 47.16/16.43  																																								|
% 47.16/16.43  																																									| Combining equations (433,416) yields a new equation:
% 47.16/16.43  																																									| (790) e4 = e3
% 47.16/16.43  																																									|
% 47.16/16.43  																																									| Simplifying 790 yields:
% 47.16/16.43  																																									| (434) e4 = e3
% 47.16/16.43  																																									|
% 47.16/16.43  																																									| Equations (434) can reduce 177 to:
% 47.16/16.43  																																									| (311) $false
% 47.16/16.43  																																									|
% 47.16/16.43  																																									|-The branch is then unsatisfiable
% 47.16/16.43  																																								|-Branch two:
% 47.16/16.43  																																								| (2347)  ~ (all_0_80_80 = e3)
% 47.16/16.43  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.16/16.43  																																								|
% 47.16/16.43  																																									+-Applying beta-rule and splitting (132), into two cases.
% 47.16/16.43  																																									|-Branch one:
% 47.16/16.43  																																									| (750) all_0_90_90 = e1
% 47.16/16.43  																																									|
% 47.16/16.43  																																										| Combining equations (758,750) yields a new equation:
% 47.16/16.43  																																										| (865) e1 = e0
% 47.16/16.43  																																										|
% 47.16/16.43  																																										| Equations (865) can reduce 264 to:
% 47.16/16.43  																																										| (311) $false
% 47.16/16.43  																																										|
% 47.16/16.43  																																										|-The branch is then unsatisfiable
% 47.16/16.43  																																									|-Branch two:
% 47.16/16.43  																																									| (678)  ~ (all_0_90_90 = e1)
% 47.16/16.43  																																									| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.43  																																									|
% 47.16/16.43  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 47.16/16.43  																																										|-Branch one:
% 47.16/16.43  																																										| (1265) all_0_84_84 = e3
% 47.16/16.43  																																										|
% 47.16/16.43  																																											| Combining equations (916,1265) yields a new equation:
% 47.16/16.43  																																											| (600) e3 = e0
% 47.16/16.43  																																											|
% 47.16/16.43  																																											| Equations (600) can reduce 50 to:
% 47.16/16.43  																																											| (311) $false
% 47.16/16.43  																																											|
% 47.16/16.43  																																											|-The branch is then unsatisfiable
% 47.16/16.43  																																										|-Branch two:
% 47.16/16.43  																																										| (422)  ~ (all_0_84_84 = e3)
% 47.16/16.43  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.16/16.43  																																										|
% 47.16/16.43  																																											+-Applying beta-rule and splitting (3765), into two cases.
% 47.16/16.43  																																											|-Branch one:
% 47.16/16.43  																																											| (882) all_0_92_92 = e3
% 47.16/16.43  																																											|
% 47.16/16.43  																																												| Equations (882) can reduce 265 to:
% 47.16/16.43  																																												| (571)  ~ (all_0_91_91 = e3)
% 47.16/16.43  																																												|
% 47.16/16.43  																																												| Equations (882) can reduce 840 to:
% 47.16/16.43  																																												| (20)  ~ (e3 = e1)
% 47.16/16.43  																																												|
% 47.16/16.43  																																												+-Applying beta-rule and splitting (1526), into two cases.
% 47.16/16.43  																																												|-Branch one:
% 47.16/16.43  																																												| (801) all_0_91_91 = e1
% 47.16/16.43  																																												|
% 47.16/16.43  																																													| Equations (801) can reduce 571 to:
% 47.16/16.43  																																													| (683)  ~ (e3 = e1)
% 47.16/16.43  																																													|
% 47.16/16.43  																																													| Simplifying 683 yields:
% 47.16/16.43  																																													| (20)  ~ (e3 = e1)
% 47.16/16.43  																																													|
% 47.16/16.43  																																													| Instantiating formula (262) with e3, e3, all_0_50_50, e4 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e4, yields:
% 47.16/16.43  																																													| (10303) all_0_50_50 = e4
% 47.16/16.43  																																													|
% 47.16/16.43  																																													| Instantiating formula (262) with e3, e0, all_0_48_48, e3 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e3, yields:
% 47.16/16.43  																																													| (10304) all_0_48_48 = e3
% 47.16/16.43  																																													|
% 47.16/16.43  																																													| Instantiating formula (262) with e0, e0, all_0_59_59, e4 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e4, yields:
% 47.16/16.43  																																													| (20342) all_0_59_59 = e4
% 47.16/16.43  																																													|
% 47.16/16.44  																																													| Equations (20342) can reduce 4959 to:
% 47.16/16.44  																																													| (79)  ~ (e4 = e2)
% 47.16/16.44  																																													|
% 47.16/16.44  																																													+-Applying beta-rule and splitting (186), into two cases.
% 47.16/16.44  																																													|-Branch one:
% 47.16/16.44  																																													| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.16/16.44  																																													|
% 47.16/16.44  																																														+-Applying beta-rule and splitting (726), into two cases.
% 47.16/16.44  																																														|-Branch one:
% 47.16/16.44  																																														| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.16/16.44  																																														|
% 47.16/16.44  																																															+-Applying beta-rule and splitting (727), into two cases.
% 47.16/16.44  																																															|-Branch one:
% 47.16/16.44  																																															| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.16/16.44  																																															|
% 47.16/16.44  																																																| Applying alpha-rule on (728) yields:
% 47.16/16.44  																																																| (729) all_0_43_43 = e4
% 47.16/16.44  																																																| (730)  ~ (all_0_44_44 = e3)
% 47.16/16.44  																																																|
% 47.16/16.44  																																																| Combining equations (729,689) yields a new equation:
% 47.16/16.44  																																																| (309) e4 = e2
% 47.16/16.44  																																																|
% 47.16/16.44  																																																| Simplifying 309 yields:
% 47.16/16.44  																																																| (310) e4 = e2
% 47.16/16.44  																																																|
% 47.16/16.44  																																																| Equations (310) can reduce 79 to:
% 47.16/16.44  																																																| (311) $false
% 47.16/16.44  																																																|
% 47.16/16.44  																																																|-The branch is then unsatisfiable
% 47.16/16.44  																																															|-Branch two:
% 47.16/16.44  																																															| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.16/16.44  																																															|
% 47.16/16.44  																																																| Applying alpha-rule on (734) yields:
% 47.16/16.44  																																																| (735) all_0_46_46 = e2
% 47.16/16.44  																																																| (736)  ~ (all_0_47_47 = e3)
% 47.16/16.44  																																																|
% 47.16/16.44  																																																| Combining equations (10066,735) yields a new equation:
% 47.16/16.44  																																																| (379) e2 = e0
% 47.16/16.44  																																																|
% 47.16/16.44  																																																| Equations (379) can reduce 76 to:
% 47.16/16.44  																																																| (311) $false
% 47.16/16.44  																																																|
% 47.16/16.44  																																																|-The branch is then unsatisfiable
% 47.16/16.44  																																														|-Branch two:
% 47.16/16.44  																																														| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.16/16.44  																																														|
% 47.16/16.44  																																															| Applying alpha-rule on (740) yields:
% 47.16/16.44  																																															| (741) all_0_48_48 = e1
% 47.16/16.44  																																															| (742)  ~ (all_0_49_49 = e3)
% 47.16/16.44  																																															|
% 47.16/16.44  																																															| Combining equations (10304,741) yields a new equation:
% 47.16/16.44  																																															| (825) e3 = e1
% 47.16/16.44  																																															|
% 47.16/16.44  																																															| Simplifying 825 yields:
% 47.16/16.44  																																															| (772) e3 = e1
% 47.16/16.44  																																															|
% 47.16/16.44  																																															| Equations (772) can reduce 20 to:
% 47.16/16.44  																																															| (311) $false
% 47.16/16.44  																																															|
% 47.16/16.44  																																															|-The branch is then unsatisfiable
% 47.16/16.44  																																													|-Branch two:
% 47.16/16.44  																																													| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.16/16.44  																																													|
% 47.16/16.44  																																														| Applying alpha-rule on (973) yields:
% 47.16/16.44  																																														| (974) all_0_50_50 = e0
% 47.16/16.44  																																														| (975)  ~ (all_0_51_51 = e3)
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Combining equations (10303,974) yields a new equation:
% 47.16/16.44  																																														| (911) e4 = e0
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Simplifying 911 yields:
% 47.16/16.44  																																														| (912) e4 = e0
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Equations (912) can reduce 23 to:
% 47.16/16.44  																																														| (311) $false
% 47.16/16.44  																																														|
% 47.16/16.44  																																														|-The branch is then unsatisfiable
% 47.16/16.44  																																												|-Branch two:
% 47.16/16.44  																																												| (959)  ~ (all_0_91_91 = e1)
% 47.16/16.44  																																												| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.44  																																												|
% 47.16/16.44  																																													+-Applying beta-rule and splitting (1556), into two cases.
% 47.16/16.44  																																													|-Branch one:
% 47.16/16.44  																																													| (836) all_0_92_92 = e1
% 47.16/16.44  																																													|
% 47.16/16.44  																																														| Combining equations (882,836) yields a new equation:
% 47.16/16.44  																																														| (825) e3 = e1
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Simplifying 825 yields:
% 47.16/16.44  																																														| (772) e3 = e1
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Equations (772) can reduce 20 to:
% 47.16/16.44  																																														| (311) $false
% 47.16/16.44  																																														|
% 47.16/16.44  																																														|-The branch is then unsatisfiable
% 47.16/16.44  																																													|-Branch two:
% 47.16/16.44  																																													| (840)  ~ (all_0_92_92 = e1)
% 47.16/16.44  																																													| (566) all_0_93_93 = e1
% 47.16/16.44  																																													|
% 47.16/16.44  																																														| Combining equations (522,566) yields a new equation:
% 47.16/16.44  																																														| (408) e2 = e1
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Simplifying 408 yields:
% 47.16/16.44  																																														| (385) e2 = e1
% 47.16/16.44  																																														|
% 47.16/16.44  																																														| Equations (385) can reduce 243 to:
% 47.16/16.44  																																														| (311) $false
% 47.16/16.44  																																														|
% 47.16/16.44  																																														|-The branch is then unsatisfiable
% 47.16/16.44  																																											|-Branch two:
% 47.16/16.44  																																											| (426)  ~ (all_0_92_92 = e3)
% 47.16/16.44  																																											| (556) all_0_97_97 = e3
% 47.16/16.44  																																											|
% 47.16/16.44  																																												| Combining equations (542,556) yields a new equation:
% 47.16/16.44  																																												| (772) e3 = e1
% 47.16/16.44  																																												|
% 47.16/16.44  																																												| Equations (772) can reduce 20 to:
% 47.16/16.44  																																												| (311) $false
% 47.16/16.44  																																												|
% 47.16/16.44  																																												|-The branch is then unsatisfiable
% 47.16/16.44  																																							|-Branch two:
% 47.16/16.44  																																							| (486)  ~ (all_0_97_97 = e1)
% 47.16/16.44  																																							| (1543) all_0_98_98 = e1
% 47.16/16.44  																																							|
% 47.16/16.44  																																								| Combining equations (1543,2650) yields a new equation:
% 47.16/16.44  																																								| (814) e4 = e1
% 47.16/16.44  																																								|
% 47.16/16.44  																																								| Equations (814) can reduce 256 to:
% 47.16/16.44  																																								| (311) $false
% 47.16/16.44  																																								|
% 47.16/16.44  																																								|-The branch is then unsatisfiable
% 47.16/16.44  																																				|-Branch two:
% 47.16/16.44  																																				| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.16/16.44  																																				|
% 47.16/16.44  																																					| Applying alpha-rule on (1385) yields:
% 47.16/16.44  																																					| (1386) all_0_73_73 = e2
% 47.16/16.44  																																					| (1387)  ~ (all_0_74_74 = e0)
% 47.16/16.44  																																					|
% 47.16/16.44  																																					| Combining equations (1386,32048) yields a new equation:
% 47.16/16.44  																																					| (310) e4 = e2
% 47.16/16.44  																																					|
% 47.16/16.44  																																					| Equations (310) can reduce 79 to:
% 47.16/16.44  																																					| (311) $false
% 47.16/16.44  																																					|
% 47.16/16.44  																																					|-The branch is then unsatisfiable
% 47.16/16.44  																																			|-Branch two:
% 47.16/16.44  																																			| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.16/16.44  																																			|
% 47.16/16.44  																																				| Applying alpha-rule on (1391) yields:
% 47.16/16.44  																																				| (1392) all_0_75_75 = e1
% 47.16/16.44  																																				| (1393)  ~ (all_0_76_76 = e0)
% 47.16/16.44  																																				|
% 47.16/16.44  																																				| Combining equations (38862,1392) yields a new equation:
% 47.16/16.44  																																				| (865) e1 = e0
% 47.16/16.44  																																				|
% 47.16/16.44  																																				| Equations (865) can reduce 264 to:
% 47.16/16.44  																																				| (311) $false
% 47.16/16.44  																																				|
% 47.16/16.44  																																				|-The branch is then unsatisfiable
% 47.16/16.44  																																|-Branch two:
% 47.16/16.44  																																| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.44  																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.16/16.44  																																|
% 47.16/16.44  																																	+-Applying beta-rule and splitting (254), into two cases.
% 47.16/16.44  																																	|-Branch one:
% 47.16/16.44  																																	| (910) all_0_82_82 = e0
% 47.16/16.44  																																	|
% 47.16/16.44  																																		| Combining equations (910,469) yields a new equation:
% 47.16/16.44  																																		| (912) e4 = e0
% 47.16/16.44  																																		|
% 47.16/16.44  																																		| Equations (912) can reduce 23 to:
% 47.16/16.44  																																		| (311) $false
% 47.16/16.44  																																		|
% 47.16/16.44  																																		|-The branch is then unsatisfiable
% 47.16/16.44  																																	|-Branch two:
% 47.16/16.44  																																	| (914)  ~ (all_0_82_82 = e0)
% 47.16/16.44  																																	| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.16/16.44  																																	|
% 47.16/16.44  																																		+-Applying beta-rule and splitting (915), into two cases.
% 47.16/16.44  																																		|-Branch one:
% 47.16/16.44  																																		| (378) all_0_86_86 = e0
% 47.16/16.44  																																		|
% 47.16/16.44  																																			| Combining equations (384,378) yields a new equation:
% 47.16/16.44  																																			| (1107) e1 = e0
% 47.16/16.44  																																			|
% 47.16/16.44  																																			| Simplifying 1107 yields:
% 47.16/16.44  																																			| (865) e1 = e0
% 47.16/16.44  																																			|
% 47.16/16.44  																																			| Equations (865) can reduce 264 to:
% 47.16/16.44  																																			| (311) $false
% 47.16/16.44  																																			|
% 47.16/16.44  																																			|-The branch is then unsatisfiable
% 47.16/16.44  																																		|-Branch two:
% 47.16/16.44  																																		| (381)  ~ (all_0_86_86 = e0)
% 47.16/16.44  																																		| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.16/16.44  																																		|
% 47.16/16.44  																																			+-Applying beta-rule and splitting (1455), into two cases.
% 47.16/16.44  																																			|-Branch one:
% 47.16/16.44  																																			| (1456) all_0_91_91 = e0
% 47.16/16.44  																																			|
% 47.16/16.44  																																				| Combining equations (1456,30812) yields a new equation:
% 47.16/16.44  																																				| (8960) all_0_76_76 = e0
% 47.16/16.44  																																				|
% 47.16/16.44  																																				| Equations (1456) can reduce 103 to:
% 47.16/16.44  																																				| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.44  																																				|
% 47.16/16.44  																																				| Equations (1456) can reduce 571 to:
% 47.16/16.44  																																				| (906)  ~ (e3 = e0)
% 47.16/16.44  																																				|
% 47.16/16.44  																																				| Simplifying 906 yields:
% 47.16/16.44  																																				| (50)  ~ (e3 = e0)
% 47.16/16.44  																																				|
% 47.16/16.44  																																				+-Applying beta-rule and splitting (927), into two cases.
% 47.16/16.44  																																				|-Branch one:
% 47.16/16.44  																																				| (758) all_0_90_90 = e0
% 47.16/16.44  																																				|
% 47.16/16.44  																																					| Equations (758) can reduce 762 to:
% 47.16/16.44  																																					| (311) $false
% 47.16/16.44  																																					|
% 47.16/16.44  																																					|-The branch is then unsatisfiable
% 47.16/16.44  																																				|-Branch two:
% 47.16/16.44  																																				| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.44  																																				| (858) all_0_95_95 = e0
% 47.16/16.44  																																				|
% 47.16/16.44  																																					| Combining equations (858,14316) yields a new equation:
% 47.16/16.44  																																					| (9860) all_0_71_71 = e0
% 47.16/16.44  																																					|
% 47.16/16.44  																																					+-Applying beta-rule and splitting (89), into two cases.
% 47.16/16.44  																																					|-Branch one:
% 47.16/16.44  																																					| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.16/16.44  																																					|
% 47.16/16.44  																																						+-Applying beta-rule and splitting (1373), into two cases.
% 47.16/16.44  																																						|-Branch one:
% 47.16/16.44  																																						| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.16/16.44  																																						|
% 47.16/16.44  																																							+-Applying beta-rule and splitting (1374), into two cases.
% 47.16/16.44  																																							|-Branch one:
% 47.16/16.44  																																							| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.16/16.44  																																							|
% 47.16/16.44  																																								| Applying alpha-rule on (1375) yields:
% 47.16/16.44  																																								| (1376) all_0_69_69 = e4
% 47.16/16.44  																																								| (1377)  ~ (all_0_70_70 = e0)
% 47.16/16.44  																																								|
% 47.16/16.45  																																								| Combining equations (1376,14241) yields a new equation:
% 47.16/16.45  																																								| (610) all_0_97_97 = e4
% 47.16/16.45  																																								|
% 47.16/16.45  																																								| Equations (610) can reduce 319 to:
% 47.16/16.45  																																								| (311) $false
% 47.16/16.45  																																								|
% 47.16/16.45  																																								|-The branch is then unsatisfiable
% 47.16/16.45  																																							|-Branch two:
% 47.16/16.45  																																							| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.16/16.45  																																							|
% 47.16/16.45  																																								| Applying alpha-rule on (1379) yields:
% 47.16/16.45  																																								| (1380) all_0_71_71 = e3
% 47.16/16.45  																																								| (1381)  ~ (all_0_72_72 = e0)
% 47.16/16.45  																																								|
% 47.16/16.45  																																								| Combining equations (9860,1380) yields a new equation:
% 47.16/16.45  																																								| (600) e3 = e0
% 47.16/16.45  																																								|
% 47.16/16.45  																																								| Equations (600) can reduce 50 to:
% 47.16/16.45  																																								| (311) $false
% 47.16/16.45  																																								|
% 47.16/16.45  																																								|-The branch is then unsatisfiable
% 47.16/16.45  																																						|-Branch two:
% 47.16/16.45  																																						| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.16/16.45  																																						|
% 47.16/16.45  																																							| Applying alpha-rule on (1385) yields:
% 47.16/16.45  																																							| (1386) all_0_73_73 = e2
% 47.16/16.45  																																							| (1387)  ~ (all_0_74_74 = e0)
% 47.16/16.45  																																							|
% 47.16/16.45  																																							| Combining equations (1386,32048) yields a new equation:
% 47.16/16.45  																																							| (310) e4 = e2
% 47.16/16.45  																																							|
% 47.16/16.45  																																							| Equations (310) can reduce 79 to:
% 47.16/16.45  																																							| (311) $false
% 47.16/16.45  																																							|
% 47.16/16.45  																																							|-The branch is then unsatisfiable
% 47.16/16.45  																																					|-Branch two:
% 47.16/16.45  																																					| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.16/16.45  																																					|
% 47.16/16.45  																																						| Applying alpha-rule on (1391) yields:
% 47.16/16.45  																																						| (1392) all_0_75_75 = e1
% 47.16/16.45  																																						| (1393)  ~ (all_0_76_76 = e0)
% 47.16/16.45  																																						|
% 47.16/16.45  																																						| Equations (8960) can reduce 1393 to:
% 47.16/16.45  																																						| (311) $false
% 47.16/16.45  																																						|
% 47.16/16.45  																																						|-The branch is then unsatisfiable
% 47.16/16.45  																																			|-Branch two:
% 47.16/16.45  																																			| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.45  																																			| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.16/16.45  																																			|
% 47.16/16.45  																																				+-Applying beta-rule and splitting (1400), into two cases.
% 47.16/16.45  																																				|-Branch one:
% 47.16/16.45  																																				| (1456) all_0_91_91 = e0
% 47.16/16.45  																																				|
% 47.16/16.45  																																					| Equations (1456) can reduce 1487 to:
% 47.16/16.45  																																					| (311) $false
% 47.16/16.45  																																					|
% 47.16/16.45  																																					|-The branch is then unsatisfiable
% 47.16/16.45  																																				|-Branch two:
% 47.16/16.45  																																				| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.45  																																				| (1837) all_0_96_96 = e0
% 47.16/16.45  																																				|
% 47.16/16.45  																																					| Equations (1837) can reduce 279 to:
% 47.16/16.45  																																					| (893)  ~ (all_0_95_95 = e0)
% 47.16/16.45  																																					|
% 47.16/16.45  																																					+-Applying beta-rule and splitting (927), into two cases.
% 47.16/16.45  																																					|-Branch one:
% 47.16/16.45  																																					| (758) all_0_90_90 = e0
% 47.16/16.45  																																					|
% 47.16/16.45  																																						| Equations (758) can reduce 762 to:
% 47.16/16.45  																																						| (311) $false
% 47.16/16.45  																																						|
% 47.16/16.45  																																						|-The branch is then unsatisfiable
% 47.16/16.45  																																					|-Branch two:
% 47.16/16.45  																																					| (762)  ~ (all_0_90_90 = e0)
% 47.16/16.45  																																					| (858) all_0_95_95 = e0
% 47.16/16.45  																																					|
% 47.16/16.45  																																						| Equations (858) can reduce 893 to:
% 47.16/16.45  																																						| (311) $false
% 47.16/16.45  																																						|
% 47.16/16.45  																																						|-The branch is then unsatisfiable
% 47.16/16.45  																												|-Branch two:
% 47.16/16.45  																												| (919)  ~ (all_0_84_84 = e0)
% 47.16/16.45  																												| (438) all_0_84_84 = e4
% 47.16/16.45  																												|
% 47.16/16.45  																													| Equations (438) can reduce 417 to:
% 47.16/16.45  																													| (311) $false
% 47.16/16.45  																													|
% 47.16/16.45  																													|-The branch is then unsatisfiable
% 47.16/16.45  																								|-Branch two:
% 47.16/16.45  																								| (952)  ~ (all_0_85_85 = e3)
% 47.16/16.45  																								| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 47.16/16.45  																								|
% 47.16/16.45  																									+-Applying beta-rule and splitting (953), into two cases.
% 47.16/16.45  																									|-Branch one:
% 47.16/16.45  																									| (954) all_0_85_85 = e0
% 47.16/16.45  																									|
% 47.16/16.45  																										| Equations (954) can reduce 800 to:
% 47.16/16.45  																										| (311) $false
% 47.16/16.45  																										|
% 47.16/16.45  																										|-The branch is then unsatisfiable
% 47.16/16.45  																									|-Branch two:
% 47.16/16.45  																									| (800)  ~ (all_0_85_85 = e0)
% 47.16/16.45  																									| (493) all_0_85_85 = e4
% 47.16/16.45  																									|
% 47.16/16.45  																										| Equations (493) can reduce 648 to:
% 47.16/16.45  																										| (311) $false
% 47.16/16.45  																										|
% 47.16/16.45  																										|-The branch is then unsatisfiable
% 47.16/16.45  																						|-Branch two:
% 47.16/16.45  																						| (465)  ~ (all_0_82_82 = e4)
% 47.16/16.45  																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.16/16.45  																						|
% 47.16/16.45  																							+-Applying beta-rule and splitting (472), into two cases.
% 47.16/16.45  																							|-Branch one:
% 47.16/16.45  																							| (438) all_0_84_84 = e4
% 47.16/16.45  																							|
% 47.16/16.45  																								| Equations (438) can reduce 417 to:
% 47.16/16.45  																								| (311) $false
% 47.16/16.45  																								|
% 47.16/16.45  																								|-The branch is then unsatisfiable
% 47.16/16.45  																							|-Branch two:
% 47.16/16.45  																							| (417)  ~ (all_0_84_84 = e4)
% 47.16/16.45  																							| (493) all_0_85_85 = e4
% 47.16/16.45  																							|
% 47.16/16.45  																								| Equations (493) can reduce 75 to:
% 47.16/16.45  																								| (320)  ~ (all_0_98_98 = e4)
% 47.16/16.45  																								|
% 47.16/16.45  																								| Simplifying 320 yields:
% 47.16/16.45  																								| (321)  ~ (all_0_98_98 = e4)
% 47.16/16.45  																								|
% 47.16/16.45  																								| Equations (493) can reduce 515 to:
% 47.16/16.45  																								| (79)  ~ (e4 = e2)
% 47.16/16.45  																								|
% 47.16/16.45  																								| From (493) and (26) follows:
% 47.16/16.45  																								| (2742) op(e0, e4) = all_0_71_71
% 47.16/16.45  																								|
% 47.16/16.45  																								+-Applying beta-rule and splitting (140), into two cases.
% 47.16/16.45  																								|-Branch one:
% 47.16/16.45  																								| (313) all_0_94_94 = e4
% 47.16/16.45  																								|
% 47.16/16.45  																									| Combining equations (313,1757) yields a new equation:
% 47.16/16.45  																									| (309) e4 = e2
% 47.16/16.45  																									|
% 47.16/16.45  																									| Simplifying 309 yields:
% 47.16/16.45  																									| (310) e4 = e2
% 47.16/16.45  																									|
% 47.16/16.45  																									| Equations (310) can reduce 79 to:
% 47.16/16.45  																									| (311) $false
% 47.16/16.45  																									|
% 47.16/16.45  																									|-The branch is then unsatisfiable
% 47.16/16.45  																								|-Branch two:
% 47.16/16.45  																								| (34849)  ~ (all_0_94_94 = e4)
% 47.16/16.45  																								| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.16/16.45  																								|
% 47.16/16.45  																									+-Applying beta-rule and splitting (34850), into two cases.
% 47.16/16.45  																									|-Branch one:
% 47.16/16.45  																									| (894) all_0_95_95 = e4
% 47.16/16.45  																									|
% 47.16/16.45  																										| Equations (894) can reduce 105 to:
% 47.16/16.45  																										| (318)  ~ (all_0_97_97 = e4)
% 47.16/16.45  																										|
% 47.16/16.45  																										| Simplifying 318 yields:
% 47.16/16.45  																										| (319)  ~ (all_0_97_97 = e4)
% 47.16/16.45  																										|
% 47.16/16.45  																										| From (894) and (280) follows:
% 47.16/16.45  																										| (39232) op(e0, e4) = all_0_51_51
% 47.16/16.45  																										|
% 47.16/16.45  																										+-Applying beta-rule and splitting (250), into two cases.
% 47.16/16.45  																										|-Branch one:
% 47.16/16.45  																										| (635) all_0_81_81 = e3
% 47.16/16.45  																										|
% 47.16/16.45  																											| Combining equations (477,635) yields a new equation:
% 47.16/16.45  																											| (772) e3 = e1
% 47.16/16.45  																											|
% 47.16/16.45  																											| Equations (772) can reduce 20 to:
% 47.16/16.45  																											| (311) $false
% 47.16/16.45  																											|
% 47.16/16.45  																											|-The branch is then unsatisfiable
% 47.16/16.45  																										|-Branch two:
% 47.16/16.45  																										| (420)  ~ (all_0_81_81 = e3)
% 47.16/16.45  																										| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.16/16.45  																										|
% 47.16/16.45  																											+-Applying beta-rule and splitting (4488), into two cases.
% 47.16/16.45  																											|-Branch one:
% 47.16/16.45  																											| (804) all_0_85_85 = e3
% 47.16/16.45  																											|
% 47.16/16.46  																												| Combining equations (493,804) yields a new equation:
% 47.16/16.46  																												| (790) e4 = e3
% 47.16/16.46  																												|
% 47.16/16.46  																												| Simplifying 790 yields:
% 47.16/16.46  																												| (434) e4 = e3
% 47.16/16.46  																												|
% 47.16/16.46  																												| Equations (434) can reduce 177 to:
% 47.16/16.46  																												| (311) $false
% 47.16/16.46  																												|
% 47.16/16.46  																												|-The branch is then unsatisfiable
% 47.16/16.46  																											|-Branch two:
% 47.16/16.46  																											| (952)  ~ (all_0_85_85 = e3)
% 47.16/16.46  																											| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.16/16.46  																											|
% 47.16/16.46  																												+-Applying beta-rule and splitting (4559), into two cases.
% 47.16/16.46  																												|-Branch one:
% 47.16/16.46  																												| (570) all_0_93_93 = e3
% 47.16/16.46  																												|
% 47.16/16.46  																													| Combining equations (570,522) yields a new equation:
% 47.16/16.46  																													| (547) e3 = e2
% 47.16/16.46  																													|
% 47.16/16.46  																													| Simplifying 547 yields:
% 47.16/16.46  																													| (548) e3 = e2
% 47.16/16.46  																													|
% 47.16/16.46  																													| Equations (548) can reduce 169 to:
% 47.16/16.46  																													| (311) $false
% 47.16/16.46  																													|
% 47.16/16.46  																													|-The branch is then unsatisfiable
% 47.16/16.46  																												|-Branch two:
% 47.16/16.46  																												| (602)  ~ (all_0_93_93 = e3)
% 47.16/16.46  																												| (969) all_0_98_98 = e3
% 47.16/16.46  																												|
% 47.16/16.46  																													| Combining equations (969,1370) yields a new equation:
% 47.16/16.46  																													| (17845) all_0_73_73 = e3
% 47.16/16.46  																													|
% 47.16/16.46  																													| Equations (969) can reduce 1349 to:
% 47.16/16.46  																													| (169)  ~ (e3 = e2)
% 47.16/16.46  																													|
% 47.16/16.46  																													| Instantiating formula (262) with e0, e4, all_0_51_51, e2 and discharging atoms op(e0, e4) = all_0_51_51, op(e0, e4) = e2, yields:
% 47.16/16.46  																													| (27448) all_0_51_51 = e2
% 47.16/16.46  																													|
% 47.16/16.46  																													| Instantiating formula (262) with e0, e4, all_0_71_71, all_0_51_51 and discharging atoms op(e0, e4) = all_0_51_51, op(e0, e4) = all_0_71_71, yields:
% 47.16/16.46  																													| (9855) all_0_51_51 = all_0_71_71
% 47.16/16.46  																													|
% 47.16/16.46  																													| Combining equations (27448,9855) yields a new equation:
% 47.16/16.46  																													| (2601) all_0_71_71 = e2
% 47.16/16.46  																													|
% 47.16/16.46  																													+-Applying beta-rule and splitting (89), into two cases.
% 47.16/16.46  																													|-Branch one:
% 47.16/16.46  																													| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.16/16.46  																													|
% 47.16/16.46  																														+-Applying beta-rule and splitting (1373), into two cases.
% 47.16/16.46  																														|-Branch one:
% 47.16/16.46  																														| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.16/16.46  																														|
% 47.16/16.46  																															+-Applying beta-rule and splitting (1374), into two cases.
% 47.16/16.46  																															|-Branch one:
% 47.16/16.46  																															| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.16/16.46  																															|
% 47.16/16.46  																																| Applying alpha-rule on (1375) yields:
% 47.16/16.46  																																| (1376) all_0_69_69 = e4
% 47.16/16.46  																																| (1377)  ~ (all_0_70_70 = e0)
% 47.16/16.46  																																|
% 47.16/16.46  																																| Combining equations (1376,14241) yields a new equation:
% 47.16/16.46  																																| (610) all_0_97_97 = e4
% 47.16/16.46  																																|
% 47.16/16.46  																																| Equations (610) can reduce 319 to:
% 47.16/16.46  																																| (311) $false
% 47.16/16.46  																																|
% 47.16/16.46  																																|-The branch is then unsatisfiable
% 47.16/16.46  																															|-Branch two:
% 47.16/16.46  																															| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.16/16.46  																															|
% 47.16/16.46  																																| Applying alpha-rule on (1379) yields:
% 47.16/16.46  																																| (1380) all_0_71_71 = e3
% 47.16/16.46  																																| (1381)  ~ (all_0_72_72 = e0)
% 47.16/16.46  																																|
% 47.16/16.46  																																| Combining equations (1380,2601) yields a new equation:
% 47.16/16.46  																																| (547) e3 = e2
% 47.16/16.46  																																|
% 47.16/16.46  																																| Simplifying 547 yields:
% 47.16/16.46  																																| (548) e3 = e2
% 47.16/16.46  																																|
% 47.16/16.46  																																| Equations (548) can reduce 169 to:
% 47.16/16.46  																																| (311) $false
% 47.16/16.46  																																|
% 47.16/16.46  																																|-The branch is then unsatisfiable
% 47.16/16.46  																														|-Branch two:
% 47.16/16.46  																														| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.16/16.46  																														|
% 47.16/16.46  																															| Applying alpha-rule on (1385) yields:
% 47.16/16.46  																															| (1386) all_0_73_73 = e2
% 47.16/16.46  																															| (1387)  ~ (all_0_74_74 = e0)
% 47.16/16.46  																															|
% 47.16/16.46  																															| Combining equations (17845,1386) yields a new equation:
% 47.16/16.46  																															| (547) e3 = e2
% 47.16/16.46  																															|
% 47.16/16.46  																															| Simplifying 547 yields:
% 47.16/16.46  																															| (548) e3 = e2
% 47.16/16.46  																															|
% 47.16/16.46  																															| Equations (548) can reduce 169 to:
% 47.16/16.46  																															| (311) $false
% 47.16/16.46  																															|
% 47.16/16.46  																															|-The branch is then unsatisfiable
% 47.16/16.46  																													|-Branch two:
% 47.16/16.46  																													| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.16/16.46  																													|
% 47.16/16.46  																														| Applying alpha-rule on (1391) yields:
% 47.16/16.46  																														| (1392) all_0_75_75 = e1
% 47.16/16.46  																														| (1393)  ~ (all_0_76_76 = e0)
% 47.16/16.46  																														|
% 47.16/16.46  																														| Combining equations (31273,1392) yields a new equation:
% 47.16/16.46  																														| (34301) all_0_96_96 = e1
% 47.16/16.46  																														|
% 47.16/16.46  																														| Simplifying 34301 yields:
% 47.16/16.46  																														| (960) all_0_96_96 = e1
% 47.16/16.46  																														|
% 47.16/16.46  																														| Equations (30812) can reduce 1393 to:
% 47.16/16.46  																														| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.46  																														|
% 47.16/16.46  																														+-Applying beta-rule and splitting (1400), into two cases.
% 47.16/16.46  																														|-Branch one:
% 47.16/16.46  																														| (1456) all_0_91_91 = e0
% 47.16/16.46  																														|
% 47.16/16.46  																															| Equations (1456) can reduce 1487 to:
% 47.16/16.46  																															| (311) $false
% 47.16/16.46  																															|
% 47.16/16.46  																															|-The branch is then unsatisfiable
% 47.16/16.46  																														|-Branch two:
% 47.16/16.46  																														| (1487)  ~ (all_0_91_91 = e0)
% 47.16/16.46  																														| (1837) all_0_96_96 = e0
% 47.16/16.46  																														|
% 47.16/16.46  																															| Combining equations (1837,960) yields a new equation:
% 47.16/16.46  																															| (865) e1 = e0
% 47.16/16.46  																															|
% 47.16/16.46  																															| Equations (865) can reduce 264 to:
% 47.16/16.46  																															| (311) $false
% 47.16/16.46  																															|
% 47.16/16.46  																															|-The branch is then unsatisfiable
% 47.16/16.47  																									|-Branch two:
% 47.16/16.47  																									| (315)  ~ (all_0_95_95 = e4)
% 47.16/16.47  																									| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.16/16.47  																									|
% 47.16/16.47  																										+-Applying beta-rule and splitting (34882), into two cases.
% 47.16/16.47  																										|-Branch one:
% 47.16/16.47  																										| (610) all_0_97_97 = e4
% 47.16/16.47  																										|
% 47.16/16.47  																											| Equations (610) can reduce 319 to:
% 47.16/16.47  																											| (311) $false
% 47.16/16.47  																											|
% 47.16/16.47  																											|-The branch is then unsatisfiable
% 47.16/16.47  																										|-Branch two:
% 47.16/16.47  																										| (319)  ~ (all_0_97_97 = e4)
% 47.16/16.47  																										| (2650) all_0_98_98 = e4
% 47.16/16.47  																										|
% 47.16/16.47  																											| Equations (2650) can reduce 321 to:
% 47.16/16.47  																											| (311) $false
% 47.16/16.47  																											|
% 47.16/16.47  																											|-The branch is then unsatisfiable
% 47.16/16.47  																				|-Branch two:
% 47.16/16.47  																				| (436)  ~ (all_0_80_80 = e4)
% 47.16/16.47  																				| (638) all_0_81_81 = e4
% 47.16/16.47  																				|
% 47.16/16.47  																					| Combining equations (477,638) yields a new equation:
% 47.16/16.47  																					| (814) e4 = e1
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (814) can reduce 256 to:
% 47.16/16.47  																					| (311) $false
% 47.16/16.47  																					|
% 47.16/16.47  																					|-The branch is then unsatisfiable
% 47.16/16.47  																		|-Branch two:
% 47.16/16.47  																		| (628)  ~ (all_0_81_81 = e1)
% 47.16/16.47  																		| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.16/16.47  																		|
% 47.16/16.47  																			+-Applying beta-rule and splitting (817), into two cases.
% 47.16/16.47  																			|-Branch one:
% 47.16/16.47  																			| (504) all_0_88_88 = e1
% 47.16/16.47  																			|
% 47.16/16.47  																				| Combining equations (504,507) yields a new equation:
% 47.16/16.47  																				| (1107) e1 = e0
% 47.16/16.47  																				|
% 47.16/16.47  																				| Simplifying 1107 yields:
% 47.16/16.47  																				| (865) e1 = e0
% 47.16/16.47  																				|
% 47.16/16.47  																				| Equations (865) can reduce 264 to:
% 47.16/16.47  																				| (311) $false
% 47.16/16.47  																				|
% 47.16/16.47  																				|-The branch is then unsatisfiable
% 47.16/16.47  																			|-Branch two:
% 47.16/16.47  																			| (479)  ~ (all_0_88_88 = e1)
% 47.16/16.47  																			| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.16/16.47  																			|
% 47.16/16.47  																				+-Applying beta-rule and splitting (897), into two cases.
% 47.16/16.47  																				|-Branch one:
% 47.16/16.47  																				| (566) all_0_93_93 = e1
% 47.16/16.47  																				|
% 47.16/16.47  																					| Combining equations (522,566) yields a new equation:
% 47.16/16.47  																					| (408) e2 = e1
% 47.16/16.47  																					|
% 47.16/16.47  																					| Simplifying 408 yields:
% 47.16/16.47  																					| (385) e2 = e1
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (385) can reduce 243 to:
% 47.16/16.47  																					| (311) $false
% 47.16/16.47  																					|
% 47.16/16.47  																					|-The branch is then unsatisfiable
% 47.16/16.47  																				|-Branch two:
% 47.16/16.47  																				| (481)  ~ (all_0_93_93 = e1)
% 47.16/16.47  																				| (1543) all_0_98_98 = e1
% 47.16/16.47  																				|
% 47.16/16.47  																					| Combining equations (1543,1370) yields a new equation:
% 47.16/16.47  																					| (2602) all_0_73_73 = e1
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (1543) can reduce 75 to:
% 47.16/16.47  																					| (128)  ~ (all_0_85_85 = e1)
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (1543) can reduce 107 to:
% 47.16/16.47  																					| (680)  ~ (all_0_95_95 = e1)
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (1543) can reduce 43 to:
% 47.16/16.47  																					| (1479)  ~ (all_0_96_96 = e1)
% 47.16/16.47  																					|
% 47.16/16.47  																					| Equations (1543) can reduce 148 to:
% 47.16/16.47  																					| (486)  ~ (all_0_97_97 = e1)
% 47.16/16.47  																					|
% 47.16/16.47  																					+-Applying beta-rule and splitting (127), into two cases.
% 47.16/16.47  																					|-Branch one:
% 47.16/16.47  																					| (457) all_0_79_79 = e1
% 47.16/16.47  																					|
% 47.16/16.47  																						| Equations (457) can reduce 63 to:
% 47.16/16.47  																						| (1665)  ~ (all_0_80_80 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Simplifying 1665 yields:
% 47.16/16.47  																						| (828)  ~ (all_0_80_80 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Equations (457) can reduce 15 to:
% 47.16/16.47  																						| (1667)  ~ (all_0_81_81 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Simplifying 1667 yields:
% 47.16/16.47  																						| (628)  ~ (all_0_81_81 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Equations (457) can reduce 17 to:
% 47.16/16.47  																						| (1669)  ~ (all_0_91_91 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Simplifying 1669 yields:
% 47.16/16.47  																						| (959)  ~ (all_0_91_91 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Equations (457) can reduce 214 to:
% 47.16/16.47  																						| (1671)  ~ (all_0_96_96 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Simplifying 1671 yields:
% 47.16/16.47  																						| (1479)  ~ (all_0_96_96 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Equations (457) can reduce 1622 to:
% 47.16/16.47  																						| (487)  ~ (e2 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Simplifying 487 yields:
% 47.16/16.47  																						| (243)  ~ (e2 = e1)
% 47.16/16.47  																						|
% 47.16/16.47  																						| Equations (457) can reduce 9 to:
% 47.16/16.47  																						| (264)  ~ (e1 = e0)
% 47.16/16.47  																						|
% 47.16/16.47  																						| From (457) and (184) follows:
% 47.16/16.47  																						| (1679) op(e2, e1) = all_0_52_52
% 47.16/16.47  																						|
% 47.16/16.47  																						+-Applying beta-rule and splitting (151), into two cases.
% 47.16/16.47  																						|-Branch one:
% 47.16/16.47  																						| (824) all_0_80_80 = e1
% 47.16/16.47  																						|
% 47.16/16.47  																							| Equations (824) can reduce 828 to:
% 47.16/16.47  																							| (311) $false
% 47.16/16.47  																							|
% 47.16/16.47  																							|-The branch is then unsatisfiable
% 47.16/16.47  																						|-Branch two:
% 47.16/16.47  																						| (828)  ~ (all_0_80_80 = e1)
% 47.16/16.47  																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.16/16.47  																						|
% 47.16/16.47  																							+-Applying beta-rule and splitting (132), into two cases.
% 47.16/16.47  																							|-Branch one:
% 47.16/16.47  																							| (750) all_0_90_90 = e1
% 47.16/16.47  																							|
% 47.16/16.47  																								| Equations (750) can reduce 678 to:
% 47.16/16.47  																								| (311) $false
% 47.16/16.47  																								|
% 47.16/16.47  																								|-The branch is then unsatisfiable
% 47.16/16.47  																							|-Branch two:
% 47.16/16.47  																							| (678)  ~ (all_0_90_90 = e1)
% 47.16/16.47  																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.47  																							|
% 47.16/16.47  																								+-Applying beta-rule and splitting (829), into two cases.
% 47.16/16.47  																								|-Branch one:
% 47.16/16.47  																								| (482) all_0_87_87 = e1
% 47.16/16.47  																								|
% 47.16/16.47  																									| Combining equations (374,482) yields a new equation:
% 47.16/16.47  																									| (408) e2 = e1
% 47.16/16.47  																									|
% 47.16/16.47  																									| Simplifying 408 yields:
% 47.16/16.47  																									| (385) e2 = e1
% 47.16/16.47  																									|
% 47.16/16.47  																									| Equations (385) can reduce 243 to:
% 47.16/16.47  																									| (311) $false
% 47.16/16.47  																									|
% 47.16/16.47  																									|-The branch is then unsatisfiable
% 47.16/16.47  																								|-Branch two:
% 47.16/16.47  																								| (625)  ~ (all_0_87_87 = e1)
% 47.16/16.47  																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.16/16.47  																								|
% 47.16/16.47  																									| Equations (374) can reduce 625 to:
% 47.16/16.47  																									| (243)  ~ (e2 = e1)
% 47.16/16.47  																									|
% 47.16/16.47  																									+-Applying beta-rule and splitting (1526), into two cases.
% 47.16/16.47  																									|-Branch one:
% 47.16/16.47  																									| (801) all_0_91_91 = e1
% 47.16/16.47  																									|
% 47.16/16.47  																										| Equations (801) can reduce 959 to:
% 47.16/16.47  																										| (311) $false
% 47.16/16.47  																										|
% 47.16/16.47  																										|-The branch is then unsatisfiable
% 47.16/16.47  																									|-Branch two:
% 47.16/16.47  																									| (959)  ~ (all_0_91_91 = e1)
% 47.16/16.47  																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.16/16.47  																									|
% 47.16/16.47  																										+-Applying beta-rule and splitting (1556), into two cases.
% 47.16/16.47  																										|-Branch one:
% 47.16/16.47  																										| (836) all_0_92_92 = e1
% 47.16/16.47  																										|
% 47.16/16.47  																											| Equations (836) can reduce 87 to:
% 47.16/16.47  																											| (259)  ~ (all_0_84_84 = e1)
% 47.16/16.47  																											|
% 47.16/16.47  																											| Equations (836) can reduce 72 to:
% 47.16/16.47  																											| (678)  ~ (all_0_90_90 = e1)
% 47.16/16.47  																											|
% 47.16/16.47  																											| Equations (836) can reduce 265 to:
% 47.16/16.47  																											| (959)  ~ (all_0_91_91 = e1)
% 47.16/16.47  																											|
% 47.16/16.47  																											| Equations (836) can reduce 258 to:
% 47.16/16.47  																											| (485)  ~ (all_0_97_97 = e1)
% 47.16/16.47  																											|
% 47.16/16.47  																											| Simplifying 485 yields:
% 47.16/16.47  																											| (486)  ~ (all_0_97_97 = e1)
% 47.16/16.47  																											|
% 47.16/16.47  																											| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 47.16/16.47  																											| (10960) all_0_52_52 = e2
% 47.16/16.47  																											|
% 47.16/16.47  																											+-Applying beta-rule and splitting (33), into two cases.
% 47.16/16.47  																											|-Branch one:
% 47.16/16.47  																											| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.16/16.47  																											|
% 47.16/16.47  																												+-Applying beta-rule and splitting (1686), into two cases.
% 47.16/16.47  																												|-Branch one:
% 47.16/16.47  																												| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.16/16.47  																												|
% 47.16/16.47  																													+-Applying beta-rule and splitting (1687), into two cases.
% 47.16/16.47  																													|-Branch one:
% 47.16/16.47  																													| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.16/16.47  																													|
% 47.16/16.47  																														| Applying alpha-rule on (1688) yields:
% 47.16/16.47  																														| (1689) all_0_52_52 = e4
% 47.16/16.47  																														| (1690)  ~ (all_0_53_53 = e2)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Combining equations (1689,10960) yields a new equation:
% 47.16/16.47  																														| (309) e4 = e2
% 47.16/16.47  																														|
% 47.16/16.47  																														| Simplifying 309 yields:
% 47.16/16.47  																														| (310) e4 = e2
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (310) can reduce 79 to:
% 47.16/16.47  																														| (311) $false
% 47.16/16.47  																														|
% 47.16/16.47  																														|-The branch is then unsatisfiable
% 47.16/16.47  																													|-Branch two:
% 47.16/16.47  																													| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.16/16.47  																													|
% 47.16/16.47  																														| Applying alpha-rule on (1694) yields:
% 47.16/16.47  																														| (1695) all_0_54_54 = e3
% 47.16/16.47  																														| (1696)  ~ (all_0_55_55 = e2)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Combining equations (1647,1695) yields a new equation:
% 47.16/16.47  																														| (790) e4 = e3
% 47.16/16.47  																														|
% 47.16/16.47  																														| Simplifying 790 yields:
% 47.16/16.47  																														| (434) e4 = e3
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (434) can reduce 177 to:
% 47.16/16.47  																														| (311) $false
% 47.16/16.47  																														|
% 47.16/16.47  																														|-The branch is then unsatisfiable
% 47.16/16.47  																												|-Branch two:
% 47.16/16.47  																												| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.16/16.47  																												|
% 47.16/16.47  																													| Applying alpha-rule on (1700) yields:
% 47.16/16.47  																													| (1701) all_0_56_56 = e1
% 47.16/16.47  																													| (1702)  ~ (all_0_57_57 = e2)
% 47.16/16.47  																													|
% 47.16/16.47  																													| From (1701) and (222) follows:
% 47.16/16.47  																													| (1703) op(e2, all_0_91_91) = e1
% 47.16/16.47  																													|
% 47.16/16.47  																													+-Applying beta-rule and splitting (2), into two cases.
% 47.16/16.47  																													|-Branch one:
% 47.16/16.47  																													| (916) all_0_84_84 = e0
% 47.16/16.47  																													|
% 47.16/16.47  																														| Combining equations (916,13664) yields a new equation:
% 47.16/16.47  																														| (10066) all_0_46_46 = e0
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (916) can reduce 273 to:
% 47.16/16.47  																														| (166)  ~ (all_0_80_80 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (916) can reduce 7 to:
% 47.16/16.47  																														| (914)  ~ (all_0_82_82 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (916) can reduce 154 to:
% 47.16/16.47  																														| (799)  ~ (all_0_85_85 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Simplifying 799 yields:
% 47.16/16.47  																														| (800)  ~ (all_0_85_85 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (916) can reduce 195 to:
% 47.16/16.47  																														| (938)  ~ (all_0_97_97 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Simplifying 938 yields:
% 47.16/16.47  																														| (609)  ~ (all_0_97_97 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Equations (916) can reduce 259 to:
% 47.16/16.47  																														| (859)  ~ (e1 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| Simplifying 859 yields:
% 47.16/16.47  																														| (264)  ~ (e1 = e0)
% 47.16/16.47  																														|
% 47.16/16.47  																														| From (916) and (150) follows:
% 47.16/16.48  																														| (11508) op(e3, e0) = all_0_63_63
% 47.16/16.48  																														|
% 47.16/16.48  																														| From (916) and (122) follows:
% 47.16/16.48  																														| (1321) op(e1, e0) = all_0_62_62
% 47.16/16.48  																														|
% 47.16/16.48  																														| Instantiating formula (262) with e3, e0, all_0_63_63, all_0_85_85 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = all_0_85_85, yields:
% 47.16/16.48  																														| (39385) all_0_63_63 = all_0_85_85
% 47.16/16.48  																														|
% 47.16/16.48  																														| Instantiating formula (262) with e1, e0, all_0_62_62, e2 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e2, yields:
% 47.16/16.48  																														| (9103) all_0_62_62 = e2
% 47.16/16.48  																														|
% 47.16/16.48  																														| From (39385) and (11508) follows:
% 47.16/16.48  																														| (8) op(e3, e0) = all_0_85_85
% 47.16/16.48  																														|
% 47.16/16.48  																														+-Applying beta-rule and splitting (109), into two cases.
% 47.16/16.48  																														|-Branch one:
% 47.16/16.48  																														| (469) all_0_82_82 = e4
% 47.16/16.48  																														|
% 47.16/16.48  																															| Equations (469) can reduce 209 to:
% 47.16/16.48  																															| (647)  ~ (all_0_85_85 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Simplifying 647 yields:
% 47.16/16.48  																															| (648)  ~ (all_0_85_85 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Equations (469) can reduce 255 to:
% 47.16/16.48  																															| (466)  ~ (all_0_90_90 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Simplifying 466 yields:
% 47.16/16.48  																															| (467)  ~ (all_0_90_90 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Equations (469) can reduce 200 to:
% 47.16/16.48  																															| (314)  ~ (all_0_95_95 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Simplifying 314 yields:
% 47.16/16.48  																															| (315)  ~ (all_0_95_95 = e4)
% 47.16/16.48  																															|
% 47.16/16.48  																															| Equations (469) can reduce 347 to:
% 47.16/16.48  																															| (79)  ~ (e4 = e2)
% 47.16/16.48  																															|
% 47.16/16.48  																															+-Applying beta-rule and splitting (182), into two cases.
% 47.16/16.48  																															|-Branch one:
% 47.16/16.48  																															| (512) all_0_85_85 = e2
% 47.16/16.48  																															|
% 47.16/16.48  																																| Equations (512) can reduce 515 to:
% 47.16/16.48  																																| (311) $false
% 47.16/16.48  																																|
% 47.16/16.48  																																|-The branch is then unsatisfiable
% 47.16/16.48  																															|-Branch two:
% 47.16/16.48  																															| (515)  ~ (all_0_85_85 = e2)
% 47.16/16.48  																															| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.16/16.48  																															|
% 47.16/16.48  																																+-Applying beta-rule and splitting (140), into two cases.
% 47.16/16.48  																																|-Branch one:
% 47.16/16.48  																																| (313) all_0_94_94 = e4
% 47.16/16.48  																																|
% 47.16/16.48  																																	| Combining equations (313,1757) yields a new equation:
% 47.16/16.48  																																	| (309) e4 = e2
% 47.16/16.48  																																	|
% 47.16/16.48  																																	| Simplifying 309 yields:
% 47.16/16.48  																																	| (310) e4 = e2
% 47.16/16.48  																																	|
% 47.16/16.48  																																	| Equations (310) can reduce 79 to:
% 47.16/16.48  																																	| (311) $false
% 47.16/16.48  																																	|
% 47.16/16.48  																																	|-The branch is then unsatisfiable
% 47.16/16.48  																																|-Branch two:
% 47.16/16.48  																																| (34849)  ~ (all_0_94_94 = e4)
% 47.16/16.48  																																| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.16/16.48  																																|
% 47.16/16.48  																																	+-Applying beta-rule and splitting (171), into two cases.
% 47.16/16.48  																																	|-Branch one:
% 47.16/16.48  																																	| (789) all_0_82_82 = e3
% 47.16/16.48  																																	|
% 47.16/16.48  																																		| Combining equations (469,789) yields a new equation:
% 47.16/16.48  																																		| (790) e4 = e3
% 47.16/16.48  																																		|
% 47.16/16.48  																																		| Simplifying 790 yields:
% 47.16/16.48  																																		| (434) e4 = e3
% 47.16/16.48  																																		|
% 47.16/16.48  																																		| Equations (434) can reduce 177 to:
% 47.16/16.48  																																		| (311) $false
% 47.16/16.48  																																		|
% 47.16/16.48  																																		|-The branch is then unsatisfiable
% 47.16/16.48  																																	|-Branch two:
% 47.16/16.48  																																	| (793)  ~ (all_0_82_82 = e3)
% 47.16/16.48  																																	| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.16/16.48  																																	|
% 47.16/16.48  																																		+-Applying beta-rule and splitting (34850), into two cases.
% 47.16/16.48  																																		|-Branch one:
% 47.16/16.48  																																		| (894) all_0_95_95 = e4
% 47.16/16.48  																																		|
% 47.16/16.48  																																			| Equations (894) can reduce 315 to:
% 47.16/16.48  																																			| (311) $false
% 47.16/16.48  																																			|
% 47.16/16.48  																																			|-The branch is then unsatisfiable
% 47.16/16.48  																																		|-Branch two:
% 47.16/16.48  																																		| (315)  ~ (all_0_95_95 = e4)
% 47.26/16.48  																																		| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.26/16.48  																																		|
% 47.26/16.48  																																			+-Applying beta-rule and splitting (1296), into two cases.
% 47.26/16.48  																																			|-Branch one:
% 47.26/16.48  																																			| (795) all_0_83_83 = e3
% 47.26/16.48  																																			|
% 47.26/16.48  																																				| Combining equations (453,795) yields a new equation:
% 47.26/16.48  																																				| (548) e3 = e2
% 47.26/16.48  																																				|
% 47.26/16.48  																																				| Equations (548) can reduce 169 to:
% 47.26/16.48  																																				| (311) $false
% 47.26/16.48  																																				|
% 47.26/16.48  																																				|-The branch is then unsatisfiable
% 47.26/16.48  																																			|-Branch two:
% 47.26/16.48  																																			| (779)  ~ (all_0_83_83 = e3)
% 47.26/16.48  																																			| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.26/16.48  																																			|
% 47.26/16.48  																																				| Equations (453) can reduce 779 to:
% 47.26/16.48  																																				| (356)  ~ (e3 = e2)
% 47.26/16.48  																																				|
% 47.26/16.48  																																				| Simplifying 356 yields:
% 47.26/16.48  																																				| (169)  ~ (e3 = e2)
% 47.26/16.48  																																				|
% 47.26/16.48  																																				+-Applying beta-rule and splitting (168), into two cases.
% 47.26/16.48  																																				|-Branch one:
% 47.26/16.48  																																				| (638) all_0_81_81 = e4
% 47.26/16.48  																																				|
% 47.26/16.48  																																					| Equations (638) can reduce 118 to:
% 47.26/16.48  																																					| (647)  ~ (all_0_85_85 = e4)
% 47.26/16.48  																																					|
% 47.26/16.48  																																					| Simplifying 647 yields:
% 47.26/16.48  																																					| (648)  ~ (all_0_85_85 = e4)
% 47.26/16.48  																																					|
% 47.26/16.48  																																					| Equations (638) can reduce 628 to:
% 47.26/16.48  																																					| (256)  ~ (e4 = e1)
% 47.26/16.48  																																					|
% 47.26/16.48  																																					+-Applying beta-rule and splitting (34882), into two cases.
% 47.26/16.48  																																					|-Branch one:
% 47.26/16.48  																																					| (610) all_0_97_97 = e4
% 47.26/16.48  																																					|
% 47.26/16.48  																																						| Equations (610) can reduce 609 to:
% 47.26/16.48  																																						| (23)  ~ (e4 = e0)
% 47.26/16.48  																																						|
% 47.26/16.48  																																						| From (610) and (252) follows:
% 47.26/16.48  																																						| (30644) op(e1, e4) = all_0_67_67
% 47.26/16.48  																																						|
% 47.26/16.48  																																						+-Applying beta-rule and splitting (106), into two cases.
% 47.26/16.48  																																						|-Branch one:
% 47.26/16.48  																																						| (771) all_0_78_78 = e3
% 47.26/16.48  																																						|
% 47.26/16.48  																																							| Combining equations (400,771) yields a new equation:
% 47.26/16.48  																																							| (548) e3 = e2
% 47.26/16.48  																																							|
% 47.26/16.48  																																							| Equations (548) can reduce 169 to:
% 47.26/16.48  																																							| (311) $false
% 47.26/16.48  																																							|
% 47.26/16.48  																																							|-The branch is then unsatisfiable
% 47.26/16.48  																																						|-Branch two:
% 47.26/16.48  																																						| (418)  ~ (all_0_78_78 = e3)
% 47.26/16.48  																																						| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.26/16.48  																																						|
% 47.26/16.48  																																							+-Applying beta-rule and splitting (45), into two cases.
% 47.26/16.48  																																							|-Branch one:
% 47.26/16.48  																																							| (546) all_0_80_80 = e2
% 47.26/16.48  																																							|
% 47.26/16.48  																																								| Equations (546) can reduce 394 to:
% 47.26/16.48  																																								| (311) $false
% 47.26/16.48  																																								|
% 47.26/16.48  																																								|-The branch is then unsatisfiable
% 47.26/16.48  																																							|-Branch two:
% 47.26/16.48  																																							| (394)  ~ (all_0_80_80 = e2)
% 47.26/16.48  																																							| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.26/16.48  																																							|
% 47.26/16.48  																																								+-Applying beta-rule and splitting (1594), into two cases.
% 47.26/16.48  																																								|-Branch one:
% 47.26/16.48  																																								| (1265) all_0_84_84 = e3
% 47.26/16.48  																																								|
% 47.26/16.48  																																									| Combining equations (916,1265) yields a new equation:
% 47.26/16.48  																																									| (600) e3 = e0
% 47.26/16.48  																																									|
% 47.26/16.48  																																									| Equations (600) can reduce 50 to:
% 47.26/16.48  																																									| (311) $false
% 47.26/16.48  																																									|
% 47.26/16.48  																																									|-The branch is then unsatisfiable
% 47.26/16.48  																																								|-Branch two:
% 47.26/16.48  																																								| (422)  ~ (all_0_84_84 = e3)
% 47.26/16.48  																																								| (804) all_0_85_85 = e3
% 47.26/16.48  																																								|
% 47.26/16.48  																																									| Equations (804) can reduce 648 to:
% 47.26/16.48  																																									| (783)  ~ (e4 = e3)
% 47.26/16.48  																																									|
% 47.26/16.48  																																									| Simplifying 783 yields:
% 47.26/16.48  																																									| (177)  ~ (e4 = e3)
% 47.26/16.48  																																									|
% 47.26/16.48  																																									| Equations (804) can reduce 128 to:
% 47.26/16.48  																																									| (20)  ~ (e3 = e1)
% 47.26/16.48  																																									|
% 47.26/16.48  																																									+-Applying beta-rule and splitting (207), into two cases.
% 47.26/16.48  																																									|-Branch one:
% 47.26/16.48  																																									| (416) all_0_80_80 = e3
% 47.26/16.48  																																									|
% 47.26/16.48  																																										| Equations (416) can reduce 394 to:
% 47.26/16.48  																																										| (169)  ~ (e3 = e2)
% 47.26/16.48  																																										|
% 47.26/16.48  																																										| From (416) and (233) follows:
% 47.26/16.48  																																										| (432) op(e1, e3) = all_0_60_60
% 47.26/16.48  																																										|
% 47.26/16.48  																																										| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 47.26/16.48  																																										| (3520) all_0_67_67 = e4
% 47.26/16.48  																																										|
% 47.26/16.48  																																										| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 47.26/16.48  																																										| (451) all_0_60_60 = all_0_90_90
% 47.26/16.48  																																										|
% 47.26/16.48  																																										+-Applying beta-rule and splitting (276), into two cases.
% 47.26/16.48  																																										|-Branch one:
% 47.26/16.48  																																										| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.26/16.48  																																										|
% 47.26/16.48  																																											+-Applying beta-rule and splitting (577), into two cases.
% 47.26/16.48  																																											|-Branch one:
% 47.26/16.48  																																											| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.26/16.48  																																											|
% 47.26/16.48  																																												+-Applying beta-rule and splitting (578), into two cases.
% 47.26/16.48  																																												|-Branch one:
% 47.26/16.48  																																												| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.26/16.48  																																												|
% 47.26/16.48  																																													| Applying alpha-rule on (579) yields:
% 47.26/16.48  																																													| (580) all_0_60_60 = e4
% 47.26/16.48  																																													| (581)  ~ (all_0_61_61 = e1)
% 47.26/16.48  																																													|
% 47.26/16.49  																																													| Combining equations (451,580) yields a new equation:
% 47.26/16.49  																																													| (582) all_0_90_90 = e4
% 47.26/16.49  																																													|
% 47.26/16.49  																																													| Simplifying 582 yields:
% 47.26/16.49  																																													| (583) all_0_90_90 = e4
% 47.26/16.49  																																													|
% 47.26/16.49  																																													| Equations (583) can reduce 467 to:
% 47.26/16.49  																																													| (311) $false
% 47.26/16.49  																																													|
% 47.26/16.49  																																													|-The branch is then unsatisfiable
% 47.26/16.49  																																												|-Branch two:
% 47.26/16.49  																																												| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.26/16.49  																																												|
% 47.26/16.49  																																													| Applying alpha-rule on (585) yields:
% 47.26/16.49  																																													| (586) all_0_62_62 = e3
% 47.26/16.49  																																													| (587)  ~ (all_0_63_63 = e1)
% 47.26/16.49  																																													|
% 47.26/16.49  																																													| Combining equations (9103,586) yields a new equation:
% 47.26/16.49  																																													| (548) e3 = e2
% 47.26/16.49  																																													|
% 47.26/16.49  																																													| Equations (548) can reduce 169 to:
% 47.26/16.49  																																													| (311) $false
% 47.26/16.49  																																													|
% 47.26/16.49  																																													|-The branch is then unsatisfiable
% 47.26/16.49  																																											|-Branch two:
% 47.26/16.49  																																											| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.26/16.49  																																											|
% 47.26/16.49  																																												| Applying alpha-rule on (590) yields:
% 47.26/16.49  																																												| (591) all_0_64_64 = e2
% 47.26/16.49  																																												| (592)  ~ (all_0_65_65 = e1)
% 47.26/16.49  																																												|
% 47.26/16.49  																																												| Combining equations (9535,591) yields a new equation:
% 47.26/16.49  																																												| (14351) all_0_91_91 = e2
% 47.26/16.49  																																												|
% 47.26/16.49  																																												| Simplifying 14351 yields:
% 47.26/16.49  																																												| (1723) all_0_91_91 = e2
% 47.26/16.49  																																												|
% 47.26/16.49  																																												| Equations (1723) can reduce 296 to:
% 47.26/16.49  																																												| (311) $false
% 47.26/16.49  																																												|
% 47.26/16.49  																																												|-The branch is then unsatisfiable
% 47.26/16.49  																																										|-Branch two:
% 47.26/16.49  																																										| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.26/16.49  																																										|
% 47.26/16.49  																																											| Applying alpha-rule on (596) yields:
% 47.26/16.49  																																											| (597) all_0_67_67 = e0
% 47.26/16.49  																																											| (598)  ~ (all_0_68_68 = e1)
% 47.26/16.49  																																											|
% 47.26/16.49  																																											| Combining equations (3520,597) yields a new equation:
% 47.26/16.49  																																											| (911) e4 = e0
% 47.26/16.49  																																											|
% 47.26/16.49  																																											| Simplifying 911 yields:
% 47.26/16.49  																																											| (912) e4 = e0
% 47.26/16.49  																																											|
% 47.26/16.49  																																											| Equations (912) can reduce 23 to:
% 47.26/16.49  																																											| (311) $false
% 47.26/16.49  																																											|
% 47.26/16.49  																																											|-The branch is then unsatisfiable
% 47.26/16.49  																																									|-Branch two:
% 47.26/16.49  																																									| (2347)  ~ (all_0_80_80 = e3)
% 47.26/16.49  																																									| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.26/16.49  																																									|
% 47.26/16.49  																																										+-Applying beta-rule and splitting (1756), into two cases.
% 47.26/16.49  																																										|-Branch one:
% 47.26/16.49  																																										| (1708) all_0_79_79 = e3
% 47.26/16.49  																																										|
% 47.26/16.49  																																											| Combining equations (457,1708) yields a new equation:
% 47.26/16.49  																																											| (772) e3 = e1
% 47.26/16.49  																																											|
% 47.26/16.49  																																											| Equations (772) can reduce 20 to:
% 47.26/16.49  																																											| (311) $false
% 47.26/16.49  																																											|
% 47.26/16.49  																																											|-The branch is then unsatisfiable
% 47.26/16.49  																																										|-Branch two:
% 47.26/16.49  																																										| (1711)  ~ (all_0_79_79 = e3)
% 47.26/16.49  																																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.26/16.49  																																										|
% 47.26/16.49  																																											+-Applying beta-rule and splitting (1768), into two cases.
% 47.26/16.49  																																											|-Branch one:
% 47.26/16.49  																																											| (416) all_0_80_80 = e3
% 47.26/16.49  																																											|
% 47.26/16.49  																																												| Equations (416) can reduce 2347 to:
% 47.26/16.49  																																												| (311) $false
% 47.26/16.49  																																												|
% 47.26/16.49  																																												|-The branch is then unsatisfiable
% 47.26/16.49  																																											|-Branch two:
% 47.26/16.49  																																											| (2347)  ~ (all_0_80_80 = e3)
% 47.26/16.49  																																											| (635) all_0_81_81 = e3
% 47.26/16.49  																																											|
% 47.26/16.49  																																												| Combining equations (638,635) yields a new equation:
% 47.26/16.49  																																												| (790) e4 = e3
% 47.26/16.49  																																												|
% 47.26/16.49  																																												| Simplifying 790 yields:
% 47.26/16.49  																																												| (434) e4 = e3
% 47.26/16.49  																																												|
% 47.26/16.49  																																												| Equations (434) can reduce 177 to:
% 47.26/16.49  																																												| (311) $false
% 47.26/16.49  																																												|
% 47.26/16.49  																																												|-The branch is then unsatisfiable
% 47.26/16.49  																																					|-Branch two:
% 47.26/16.49  																																					| (319)  ~ (all_0_97_97 = e4)
% 47.26/16.49  																																					| (2650) all_0_98_98 = e4
% 47.26/16.49  																																					|
% 47.26/16.49  																																						| Combining equations (2650,1543) yields a new equation:
% 47.26/16.49  																																						| (813) e4 = e1
% 47.26/16.49  																																						|
% 47.26/16.49  																																						| Simplifying 813 yields:
% 47.26/16.49  																																						| (814) e4 = e1
% 47.26/16.49  																																						|
% 47.26/16.49  																																						| Equations (814) can reduce 256 to:
% 47.26/16.49  																																						| (311) $false
% 47.26/16.49  																																						|
% 47.26/16.49  																																						|-The branch is then unsatisfiable
% 47.26/16.49  																																				|-Branch two:
% 47.26/16.49  																																				| (634)  ~ (all_0_81_81 = e4)
% 47.26/16.49  																																				| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.26/16.49  																																				|
% 47.26/16.49  																																					+-Applying beta-rule and splitting (641), into two cases.
% 47.26/16.49  																																					|-Branch one:
% 47.26/16.49  																																					| (433) all_0_80_80 = e4
% 47.26/16.49  																																					|
% 47.26/16.49  																																						| Equations (433) can reduce 144 to:
% 47.26/16.49  																																						| (1730)  ~ (all_0_81_81 = e4)
% 47.26/16.49  																																						|
% 47.26/16.49  																																						| Simplifying 1730 yields:
% 47.26/16.49  																																						| (634)  ~ (all_0_81_81 = e4)
% 47.26/16.49  																																						|
% 47.26/16.49  																																						+-Applying beta-rule and splitting (725), into two cases.
% 47.26/16.49  																																						|-Branch one:
% 47.26/16.49  																																						| (804) all_0_85_85 = e3
% 47.26/16.49  																																						|
% 47.26/16.49  																																							| Equations (804) can reduce 118 to:
% 47.26/16.49  																																							| (420)  ~ (all_0_81_81 = e3)
% 47.26/16.49  																																							|
% 47.26/16.49  																																							+-Applying beta-rule and splitting (123), into two cases.
% 47.26/16.49  																																							|-Branch one:
% 47.26/16.49  																																							| (473) all_0_81_81 = e2
% 47.26/16.49  																																							|
% 47.26/16.49  																																								| Equations (473) can reduce 396 to:
% 47.26/16.49  																																								| (311) $false
% 47.26/16.49  																																								|
% 47.26/16.49  																																								|-The branch is then unsatisfiable
% 47.26/16.49  																																							|-Branch two:
% 47.26/16.49  																																							| (396)  ~ (all_0_81_81 = e2)
% 47.26/16.49  																																							| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.26/16.49  																																							|
% 47.26/16.49  																																								+-Applying beta-rule and splitting (476), into two cases.
% 47.26/16.49  																																								|-Branch one:
% 47.26/16.49  																																								| (477) all_0_81_81 = e1
% 47.26/16.49  																																								|
% 47.26/16.49  																																									| Equations (477) can reduce 628 to:
% 47.26/16.49  																																									| (311) $false
% 47.26/16.49  																																									|
% 47.26/16.49  																																									|-The branch is then unsatisfiable
% 47.26/16.49  																																								|-Branch two:
% 47.26/16.49  																																								| (628)  ~ (all_0_81_81 = e1)
% 47.26/16.49  																																								| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.26/16.49  																																								|
% 47.26/16.49  																																									+-Applying beta-rule and splitting (629), into two cases.
% 47.26/16.49  																																									|-Branch one:
% 47.26/16.49  																																									| (635) all_0_81_81 = e3
% 47.26/16.49  																																									|
% 47.26/16.49  																																										| Equations (635) can reduce 420 to:
% 47.26/16.49  																																										| (311) $false
% 47.26/16.49  																																										|
% 47.26/16.49  																																										|-The branch is then unsatisfiable
% 47.26/16.49  																																									|-Branch two:
% 47.26/16.49  																																									| (420)  ~ (all_0_81_81 = e3)
% 47.26/16.49  																																									| (638) all_0_81_81 = e4
% 47.26/16.49  																																									|
% 47.26/16.49  																																										| Equations (638) can reduce 634 to:
% 47.26/16.49  																																										| (311) $false
% 47.26/16.49  																																										|
% 47.26/16.49  																																										|-The branch is then unsatisfiable
% 47.26/16.49  																																						|-Branch two:
% 47.26/16.49  																																						| (952)  ~ (all_0_85_85 = e3)
% 47.26/16.49  																																						| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 47.26/16.49  																																						|
% 47.26/16.49  																																							+-Applying beta-rule and splitting (953), into two cases.
% 47.26/16.49  																																							|-Branch one:
% 47.26/16.49  																																							| (954) all_0_85_85 = e0
% 47.26/16.49  																																							|
% 47.26/16.49  																																								| Equations (954) can reduce 800 to:
% 47.26/16.49  																																								| (311) $false
% 47.26/16.49  																																								|
% 47.26/16.49  																																								|-The branch is then unsatisfiable
% 47.26/16.49  																																							|-Branch two:
% 47.26/16.49  																																							| (800)  ~ (all_0_85_85 = e0)
% 47.26/16.49  																																							| (493) all_0_85_85 = e4
% 47.26/16.49  																																							|
% 47.26/16.49  																																								| Equations (493) can reduce 648 to:
% 47.26/16.49  																																								| (311) $false
% 47.26/16.49  																																								|
% 47.26/16.49  																																								|-The branch is then unsatisfiable
% 47.26/16.49  																																					|-Branch two:
% 47.26/16.49  																																					| (436)  ~ (all_0_80_80 = e4)
% 47.26/16.49  																																					| (638) all_0_81_81 = e4
% 47.26/16.49  																																					|
% 47.26/16.49  																																						| Equations (638) can reduce 634 to:
% 47.26/16.49  																																						| (311) $false
% 47.26/16.49  																																						|
% 47.26/16.49  																																						|-The branch is then unsatisfiable
% 47.27/16.49  																														|-Branch two:
% 47.27/16.49  																														| (465)  ~ (all_0_82_82 = e4)
% 47.27/16.49  																														| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.27/16.49  																														|
% 47.27/16.49  																															+-Applying beta-rule and splitting (10), into two cases.
% 47.27/16.49  																															|-Branch one:
% 47.27/16.49  																															| (530) all_0_82_82 = e2
% 47.27/16.49  																															|
% 47.27/16.49  																																| Equations (530) can reduce 347 to:
% 47.27/16.49  																																| (311) $false
% 47.27/16.49  																																|
% 47.27/16.49  																																|-The branch is then unsatisfiable
% 47.27/16.49  																															|-Branch two:
% 47.27/16.49  																															| (347)  ~ (all_0_82_82 = e2)
% 47.27/16.49  																															| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.27/16.49  																															|
% 47.27/16.49  																																+-Applying beta-rule and splitting (4), into two cases.
% 47.27/16.49  																																|-Branch one:
% 47.27/16.49  																																| (463) all_0_78_78 = e4
% 47.27/16.49  																																|
% 47.27/16.49  																																	| Combining equations (400,463) yields a new equation:
% 47.27/16.49  																																	| (310) e4 = e2
% 47.27/16.49  																																	|
% 47.27/16.49  																																	| Equations (310) can reduce 79 to:
% 47.27/16.49  																																	| (311) $false
% 47.27/16.49  																																	|
% 47.27/16.49  																																	|-The branch is then unsatisfiable
% 47.27/16.49  																																|-Branch two:
% 47.27/16.49  																																| (640)  ~ (all_0_78_78 = e4)
% 47.27/16.49  																																| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.27/16.49  																																|
% 47.27/16.49  																																	+-Applying beta-rule and splitting (3625), into two cases.
% 47.27/16.49  																																	|-Branch one:
% 47.27/16.49  																																	| (469) all_0_82_82 = e4
% 47.27/16.49  																																	|
% 47.27/16.49  																																		| Equations (469) can reduce 465 to:
% 47.27/16.49  																																		| (311) $false
% 47.27/16.49  																																		|
% 47.27/16.49  																																		|-The branch is then unsatisfiable
% 47.27/16.49  																																	|-Branch two:
% 47.27/16.49  																																	| (465)  ~ (all_0_82_82 = e4)
% 47.27/16.49  																																	| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.27/16.49  																																	|
% 47.27/16.49  																																		+-Applying beta-rule and splitting (472), into two cases.
% 47.27/16.49  																																		|-Branch one:
% 47.27/16.49  																																		| (438) all_0_84_84 = e4
% 47.27/16.49  																																		|
% 47.27/16.49  																																			| Combining equations (438,916) yields a new equation:
% 47.27/16.49  																																			| (911) e4 = e0
% 47.27/16.49  																																			|
% 47.27/16.49  																																			| Simplifying 911 yields:
% 47.27/16.49  																																			| (912) e4 = e0
% 47.27/16.49  																																			|
% 47.27/16.49  																																			| Equations (912) can reduce 23 to:
% 47.27/16.49  																																			| (311) $false
% 47.27/16.49  																																			|
% 47.27/16.49  																																			|-The branch is then unsatisfiable
% 47.27/16.49  																																		|-Branch two:
% 47.27/16.49  																																		| (417)  ~ (all_0_84_84 = e4)
% 47.27/16.49  																																		| (493) all_0_85_85 = e4
% 47.27/16.49  																																		|
% 47.27/16.49  																																			| Equations (493) can reduce 118 to:
% 47.27/16.49  																																			| (634)  ~ (all_0_81_81 = e4)
% 47.27/16.49  																																			|
% 47.27/16.49  																																			| Equations (493) can reduce 209 to:
% 47.27/16.49  																																			| (465)  ~ (all_0_82_82 = e4)
% 47.27/16.49  																																			|
% 47.27/16.49  																																			| From (493) and (8) follows:
% 47.27/16.49  																																			| (4406) op(e3, e0) = e4
% 47.27/16.49  																																			|
% 47.27/16.49  																																			+-Applying beta-rule and splitting (250), into two cases.
% 47.27/16.49  																																			|-Branch one:
% 47.27/16.49  																																			| (635) all_0_81_81 = e3
% 47.27/16.49  																																			|
% 47.27/16.49  																																				| Equations (635) can reduce 634 to:
% 47.27/16.49  																																				| (783)  ~ (e4 = e3)
% 47.27/16.49  																																				|
% 47.27/16.49  																																				| Simplifying 783 yields:
% 47.27/16.49  																																				| (177)  ~ (e4 = e3)
% 47.27/16.49  																																				|
% 47.27/16.49  																																				+-Applying beta-rule and splitting (641), into two cases.
% 47.27/16.49  																																				|-Branch one:
% 47.27/16.49  																																				| (433) all_0_80_80 = e4
% 47.27/16.49  																																				|
% 47.27/16.49  																																					| Equations (433) can reduce 166 to:
% 47.27/16.49  																																					| (23)  ~ (e4 = e0)
% 47.27/16.49  																																					|
% 47.27/16.49  																																					+-Applying beta-rule and splitting (2205), into two cases.
% 47.27/16.49  																																					|-Branch one:
% 47.27/16.49  																																					| (789) all_0_82_82 = e3
% 47.27/16.49  																																					|
% 47.27/16.49  																																						| Equations (789) can reduce 255 to:
% 47.27/16.49  																																						| (1815)  ~ (all_0_90_90 = e3)
% 47.27/16.49  																																						|
% 47.27/16.49  																																						| Simplifying 1815 yields:
% 47.27/16.49  																																						| (745)  ~ (all_0_90_90 = e3)
% 47.27/16.49  																																						|
% 47.27/16.49  																																						+-Applying beta-rule and splitting (112), into two cases.
% 47.27/16.49  																																						|-Branch one:
% 47.27/16.49  																																						| (538) all_0_97_97 = e2
% 47.27/16.49  																																						|
% 47.27/16.49  																																							| Equations (538) can reduce 527 to:
% 47.27/16.49  																																							| (311) $false
% 47.27/16.49  																																							|
% 47.27/16.49  																																							|-The branch is then unsatisfiable
% 47.27/16.49  																																						|-Branch two:
% 47.27/16.49  																																						| (527)  ~ (all_0_97_97 = e2)
% 47.27/16.49  																																						| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 47.27/16.49  																																						|
% 47.27/16.49  																																							+-Applying beta-rule and splitting (541), into two cases.
% 47.27/16.49  																																							|-Branch one:
% 47.27/16.49  																																							| (542) all_0_97_97 = e1
% 47.27/16.49  																																							|
% 47.27/16.49  																																								| Equations (542) can reduce 486 to:
% 47.27/16.49  																																								| (311) $false
% 47.27/16.49  																																								|
% 47.27/16.49  																																								|-The branch is then unsatisfiable
% 47.27/16.49  																																							|-Branch two:
% 47.27/16.49  																																							| (486)  ~ (all_0_97_97 = e1)
% 47.27/16.49  																																							| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 47.27/16.49  																																							|
% 47.27/16.49  																																								+-Applying beta-rule and splitting (27), into two cases.
% 47.27/16.49  																																								|-Branch one:
% 47.27/16.49  																																								| (746) all_0_90_90 = e2
% 47.27/16.49  																																								|
% 47.27/16.49  																																									| Equations (746) can reduce 294 to:
% 47.27/16.49  																																									| (311) $false
% 47.27/16.49  																																									|
% 47.27/16.49  																																									|-The branch is then unsatisfiable
% 47.27/16.49  																																								|-Branch two:
% 47.27/16.49  																																								| (294)  ~ (all_0_90_90 = e2)
% 47.27/16.49  																																								| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.27/16.49  																																								|
% 47.27/16.49  																																									+-Applying beta-rule and splitting (3629), into two cases.
% 47.27/16.49  																																									|-Branch one:
% 47.27/16.49  																																									| (583) all_0_90_90 = e4
% 47.27/16.49  																																									|
% 47.27/16.49  																																										| Equations (583) can reduce 467 to:
% 47.27/16.49  																																										| (311) $false
% 47.27/16.49  																																										|
% 47.27/16.49  																																										|-The branch is then unsatisfiable
% 47.27/16.49  																																									|-Branch two:
% 47.27/16.49  																																									| (467)  ~ (all_0_90_90 = e4)
% 47.27/16.49  																																									| (894) all_0_95_95 = e4
% 47.27/16.49  																																									|
% 47.27/16.49  																																										| Equations (894) can reduce 279 to:
% 47.27/16.49  																																										| (316)  ~ (all_0_96_96 = e4)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| Simplifying 316 yields:
% 47.27/16.49  																																										| (115)  ~ (all_0_96_96 = e4)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| Equations (894) can reduce 105 to:
% 47.27/16.49  																																										| (318)  ~ (all_0_97_97 = e4)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| Simplifying 318 yields:
% 47.27/16.49  																																										| (319)  ~ (all_0_97_97 = e4)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| Equations (894) can reduce 355 to:
% 47.27/16.49  																																										| (79)  ~ (e4 = e2)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| Equations (894) can reduce 680 to:
% 47.27/16.49  																																										| (256)  ~ (e4 = e1)
% 47.27/16.49  																																										|
% 47.27/16.49  																																										| From (894) and (121) follows:
% 47.27/16.50  																																										| (39580) op(e3, e4) = all_0_50_50
% 47.27/16.50  																																										|
% 47.27/16.50  																																										+-Applying beta-rule and splitting (749), into two cases.
% 47.27/16.50  																																										|-Branch one:
% 47.27/16.50  																																										| (750) all_0_90_90 = e1
% 47.27/16.50  																																										|
% 47.27/16.50  																																											| Equations (750) can reduce 678 to:
% 47.27/16.50  																																											| (311) $false
% 47.27/16.50  																																											|
% 47.27/16.50  																																											|-The branch is then unsatisfiable
% 47.27/16.50  																																										|-Branch two:
% 47.27/16.50  																																										| (678)  ~ (all_0_90_90 = e1)
% 47.27/16.50  																																										| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.27/16.50  																																										|
% 47.27/16.50  																																											+-Applying beta-rule and splitting (545), into two cases.
% 47.27/16.50  																																											|-Branch one:
% 47.27/16.50  																																											| (556) all_0_97_97 = e3
% 47.27/16.50  																																											|
% 47.27/16.50  																																												| Equations (556) can reduce 22 to:
% 47.27/16.50  																																												| (964)  ~ (all_0_96_96 = e3)
% 47.27/16.50  																																												|
% 47.27/16.50  																																												| Equations (556) can reduce 527 to:
% 47.27/16.50  																																												| (169)  ~ (e3 = e2)
% 47.27/16.50  																																												|
% 47.27/16.50  																																												| Equations (556) can reduce 486 to:
% 47.27/16.50  																																												| (20)  ~ (e3 = e1)
% 47.27/16.50  																																												|
% 47.27/16.50  																																												| Equations (556) can reduce 609 to:
% 47.27/16.50  																																												| (50)  ~ (e3 = e0)
% 47.27/16.50  																																												|
% 47.27/16.50  																																												| From (556) and (252) follows:
% 47.27/16.50  																																												| (10793) op(e1, e3) = all_0_67_67
% 47.27/16.50  																																												|
% 47.27/16.50  																																												+-Applying beta-rule and splitting (102), into two cases.
% 47.27/16.50  																																												|-Branch one:
% 47.27/16.50  																																												| (858) all_0_95_95 = e0
% 47.27/16.50  																																												|
% 47.27/16.50  																																													| Combining equations (858,894) yields a new equation:
% 47.27/16.50  																																													| (912) e4 = e0
% 47.27/16.50  																																													|
% 47.27/16.50  																																													| Equations (912) can reduce 23 to:
% 47.27/16.50  																																													| (311) $false
% 47.27/16.50  																																													|
% 47.27/16.50  																																													|-The branch is then unsatisfiable
% 47.27/16.50  																																												|-Branch two:
% 47.27/16.50  																																												| (893)  ~ (all_0_95_95 = e0)
% 47.27/16.50  																																												| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.27/16.50  																																												|
% 47.27/16.50  																																													+-Applying beta-rule and splitting (285), into two cases.
% 47.27/16.50  																																													|-Branch one:
% 47.27/16.50  																																													| (1708) all_0_79_79 = e3
% 47.27/16.50  																																													|
% 47.27/16.50  																																														| Combining equations (457,1708) yields a new equation:
% 47.27/16.50  																																														| (772) e3 = e1
% 47.27/16.50  																																														|
% 47.27/16.50  																																														| Equations (772) can reduce 20 to:
% 47.27/16.50  																																														| (311) $false
% 47.27/16.50  																																														|
% 47.27/16.50  																																														|-The branch is then unsatisfiable
% 47.27/16.50  																																													|-Branch two:
% 47.27/16.50  																																													| (1711)  ~ (all_0_79_79 = e3)
% 47.27/16.50  																																													| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.27/16.50  																																													|
% 47.27/16.50  																																														| Equations (457) can reduce 1711 to:
% 47.27/16.50  																																														| (683)  ~ (e3 = e1)
% 47.27/16.50  																																														|
% 47.27/16.50  																																														| Simplifying 683 yields:
% 47.27/16.50  																																														| (20)  ~ (e3 = e1)
% 47.27/16.50  																																														|
% 47.27/16.50  																																														+-Applying beta-rule and splitting (254), into two cases.
% 47.27/16.50  																																														|-Branch one:
% 47.27/16.50  																																														| (910) all_0_82_82 = e0
% 47.27/16.50  																																														|
% 47.27/16.50  																																															| Combining equations (789,910) yields a new equation:
% 47.27/16.50  																																															| (599) e3 = e0
% 47.27/16.50  																																															|
% 47.27/16.50  																																															| Simplifying 599 yields:
% 47.27/16.50  																																															| (600) e3 = e0
% 47.27/16.50  																																															|
% 47.27/16.50  																																															| Equations (600) can reduce 50 to:
% 47.27/16.50  																																															| (311) $false
% 47.27/16.50  																																															|
% 47.27/16.50  																																															|-The branch is then unsatisfiable
% 47.27/16.50  																																														|-Branch two:
% 47.27/16.50  																																														| (914)  ~ (all_0_82_82 = e0)
% 47.27/16.50  																																														| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.27/16.50  																																														|
% 47.27/16.50  																																															+-Applying beta-rule and splitting (1712), into two cases.
% 47.27/16.50  																																															|-Branch one:
% 47.27/16.50  																																															| (795) all_0_83_83 = e3
% 47.27/16.50  																																															|
% 47.27/16.50  																																																| Combining equations (453,795) yields a new equation:
% 47.27/16.50  																																																| (548) e3 = e2
% 47.27/16.50  																																																|
% 47.27/16.50  																																																| Equations (548) can reduce 169 to:
% 47.27/16.50  																																																| (311) $false
% 47.27/16.50  																																																|
% 47.27/16.50  																																																|-The branch is then unsatisfiable
% 47.27/16.50  																																															|-Branch two:
% 47.27/16.50  																																															| (779)  ~ (all_0_83_83 = e3)
% 47.27/16.50  																																															| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.27/16.50  																																															|
% 47.27/16.50  																																																| Equations (453) can reduce 779 to:
% 47.27/16.50  																																																| (356)  ~ (e3 = e2)
% 47.27/16.50  																																																|
% 47.27/16.50  																																																| Simplifying 356 yields:
% 47.27/16.50  																																																| (169)  ~ (e3 = e2)
% 47.27/16.50  																																																|
% 47.27/16.50  																																																+-Applying beta-rule and splitting (753), into two cases.
% 47.27/16.50  																																																|-Branch one:
% 47.27/16.50  																																																| (754) all_0_90_90 = e3
% 47.27/16.50  																																																|
% 47.27/16.50  																																																	| Equations (754) can reduce 745 to:
% 47.27/16.50  																																																	| (311) $false
% 47.27/16.50  																																																	|
% 47.27/16.50  																																																	|-The branch is then unsatisfiable
% 47.27/16.50  																																																|-Branch two:
% 47.27/16.50  																																																| (745)  ~ (all_0_90_90 = e3)
% 47.27/16.50  																																																| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.27/16.50  																																																|
% 47.27/16.50  																																																	+-Applying beta-rule and splitting (1921), into two cases.
% 47.27/16.50  																																																	|-Branch one:
% 47.27/16.50  																																																	| (1837) all_0_96_96 = e0
% 47.27/16.50  																																																	|
% 47.27/16.50  																																																		| Equations (1837) can reduce 115 to:
% 47.27/16.50  																																																		| (904)  ~ (e4 = e0)
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																		| Simplifying 904 yields:
% 47.27/16.50  																																																		| (23)  ~ (e4 = e0)
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																		| Equations (1837) can reduce 1479 to:
% 47.27/16.50  																																																		| (859)  ~ (e1 = e0)
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																		| Simplifying 859 yields:
% 47.27/16.50  																																																		| (264)  ~ (e1 = e0)
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																		+-Applying beta-rule and splitting (282), into two cases.
% 47.27/16.50  																																																		|-Branch one:
% 47.27/16.50  																																																		| (754) all_0_90_90 = e3
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																			| Equations (754) can reduce 745 to:
% 47.27/16.50  																																																			| (311) $false
% 47.27/16.50  																																																			|
% 47.27/16.50  																																																			|-The branch is then unsatisfiable
% 47.27/16.50  																																																		|-Branch two:
% 47.27/16.50  																																																		| (745)  ~ (all_0_90_90 = e3)
% 47.27/16.50  																																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.27/16.50  																																																		|
% 47.27/16.50  																																																			+-Applying beta-rule and splitting (291), into two cases.
% 47.27/16.50  																																																			|-Branch one:
% 47.27/16.50  																																																			| (758) all_0_90_90 = e0
% 47.27/16.50  																																																			|
% 47.27/16.50  																																																				| Equations (758) can reduce 678 to:
% 47.27/16.50  																																																				| (859)  ~ (e1 = e0)
% 47.27/16.50  																																																				|
% 47.27/16.50  																																																				| Simplifying 859 yields:
% 47.27/16.50  																																																				| (264)  ~ (e1 = e0)
% 47.27/16.50  																																																				|
% 47.27/16.50  																																																				| From (758) and (217) follows:
% 47.27/16.50  																																																				| (13796) op(e3, e0) = all_0_48_48
% 47.27/16.50  																																																				|
% 47.27/16.50  																																																				| From (758) and (218) follows:
% 47.27/16.50  																																																				| (8938) op(e1, e3) = e0
% 47.27/16.50  																																																				|
% 47.27/16.50  																																																				+-Applying beta-rule and splitting (849), into two cases.
% 47.27/16.50  																																																				|-Branch one:
% 47.27/16.50  																																																				| (588) all_0_91_91 = e3
% 47.27/16.50  																																																				|
% 47.27/16.50  																																																					| From (588) and (51) follows:
% 47.27/16.50  																																																					| (15066) op(e1, e3) = all_0_57_57
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Instantiating formula (262) with e3, e4, all_0_50_50, e1 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = e1, yields:
% 47.27/16.50  																																																					| (39636) all_0_50_50 = e1
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Instantiating formula (262) with e3, e0, e4, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e4, yields:
% 47.27/16.50  																																																					| (13902) all_0_48_48 = e4
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Instantiating formula (262) with e1, e3, all_0_67_67, all_0_57_57 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = all_0_67_67, yields:
% 47.27/16.50  																																																					| (10606) all_0_57_57 = all_0_67_67
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Instantiating formula (262) with e1, e3, e0, all_0_57_57 and discharging atoms op(e1, e3) = all_0_57_57, op(e1, e3) = e0, yields:
% 47.27/16.50  																																																					| (10796) all_0_57_57 = e0
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Combining equations (10796,10606) yields a new equation:
% 47.27/16.50  																																																					| (597) all_0_67_67 = e0
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Combining equations (597,10606) yields a new equation:
% 47.27/16.50  																																																					| (10796) all_0_57_57 = e0
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Equations (10796) can reduce 1702 to:
% 47.27/16.50  																																																					| (510)  ~ (e2 = e0)
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					| Simplifying 510 yields:
% 47.27/16.50  																																																					| (76)  ~ (e2 = e0)
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																					+-Applying beta-rule and splitting (186), into two cases.
% 47.27/16.50  																																																					|-Branch one:
% 47.27/16.50  																																																					| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																						+-Applying beta-rule and splitting (726), into two cases.
% 47.27/16.50  																																																						|-Branch one:
% 47.27/16.50  																																																						| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.27/16.50  																																																						|
% 47.27/16.50  																																																							+-Applying beta-rule and splitting (727), into two cases.
% 47.27/16.50  																																																							|-Branch one:
% 47.27/16.50  																																																							| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.27/16.50  																																																							|
% 47.27/16.50  																																																								| Applying alpha-rule on (728) yields:
% 47.27/16.50  																																																								| (729) all_0_43_43 = e4
% 47.27/16.50  																																																								| (730)  ~ (all_0_44_44 = e3)
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								| Combining equations (729,689) yields a new equation:
% 47.27/16.50  																																																								| (309) e4 = e2
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								| Simplifying 309 yields:
% 47.27/16.50  																																																								| (310) e4 = e2
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								| Equations (310) can reduce 79 to:
% 47.27/16.50  																																																								| (311) $false
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								|-The branch is then unsatisfiable
% 47.27/16.50  																																																							|-Branch two:
% 47.27/16.50  																																																							| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.27/16.50  																																																							|
% 47.27/16.50  																																																								| Applying alpha-rule on (734) yields:
% 47.27/16.50  																																																								| (735) all_0_46_46 = e2
% 47.27/16.50  																																																								| (736)  ~ (all_0_47_47 = e3)
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								| Combining equations (10066,735) yields a new equation:
% 47.27/16.50  																																																								| (379) e2 = e0
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								| Equations (379) can reduce 76 to:
% 47.27/16.50  																																																								| (311) $false
% 47.27/16.50  																																																								|
% 47.27/16.50  																																																								|-The branch is then unsatisfiable
% 47.27/16.50  																																																						|-Branch two:
% 47.27/16.50  																																																						| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.27/16.50  																																																						|
% 47.27/16.50  																																																							| Applying alpha-rule on (740) yields:
% 47.27/16.50  																																																							| (741) all_0_48_48 = e1
% 47.27/16.50  																																																							| (742)  ~ (all_0_49_49 = e3)
% 47.27/16.50  																																																							|
% 47.27/16.50  																																																							| Combining equations (741,13902) yields a new equation:
% 47.27/16.50  																																																							| (814) e4 = e1
% 47.27/16.50  																																																							|
% 47.27/16.50  																																																							| Equations (814) can reduce 256 to:
% 47.27/16.50  																																																							| (311) $false
% 47.27/16.50  																																																							|
% 47.27/16.50  																																																							|-The branch is then unsatisfiable
% 47.27/16.50  																																																					|-Branch two:
% 47.27/16.50  																																																					| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.27/16.50  																																																					|
% 47.27/16.50  																																																						| Applying alpha-rule on (973) yields:
% 47.27/16.50  																																																						| (974) all_0_50_50 = e0
% 47.27/16.50  																																																						| (975)  ~ (all_0_51_51 = e3)
% 47.27/16.50  																																																						|
% 47.28/16.51  																																																						| Combining equations (39636,974) yields a new equation:
% 47.28/16.51  																																																						| (1107) e1 = e0
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Simplifying 1107 yields:
% 47.28/16.51  																																																						| (865) e1 = e0
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Equations (865) can reduce 264 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																				|-Branch two:
% 47.28/16.51  																																																				| (571)  ~ (all_0_91_91 = e3)
% 47.28/16.51  																																																				| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																					+-Applying beta-rule and splitting (881), into two cases.
% 47.28/16.51  																																																					|-Branch one:
% 47.28/16.51  																																																					| (882) all_0_92_92 = e3
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Combining equations (882,836) yields a new equation:
% 47.28/16.51  																																																						| (825) e3 = e1
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Simplifying 825 yields:
% 47.28/16.51  																																																						| (772) e3 = e1
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Equations (772) can reduce 20 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																					|-Branch two:
% 47.28/16.51  																																																					| (426)  ~ (all_0_92_92 = e3)
% 47.28/16.51  																																																					| (570) all_0_93_93 = e3
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Combining equations (522,570) yields a new equation:
% 47.28/16.51  																																																						| (548) e3 = e2
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Equations (548) can reduce 169 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																			|-Branch two:
% 47.28/16.51  																																																			| (762)  ~ (all_0_90_90 = e0)
% 47.28/16.51  																																																			| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.28/16.51  																																																			|
% 47.28/16.51  																																																				+-Applying beta-rule and splitting (915), into two cases.
% 47.28/16.51  																																																				|-Branch one:
% 47.28/16.51  																																																				| (378) all_0_86_86 = e0
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																					| Combining equations (384,378) yields a new equation:
% 47.28/16.51  																																																					| (1107) e1 = e0
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																					| Simplifying 1107 yields:
% 47.28/16.51  																																																					| (865) e1 = e0
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																					| Equations (865) can reduce 264 to:
% 47.28/16.51  																																																					| (311) $false
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																					|-The branch is then unsatisfiable
% 47.28/16.51  																																																				|-Branch two:
% 47.28/16.51  																																																				| (381)  ~ (all_0_86_86 = e0)
% 47.28/16.51  																																																				| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																					+-Applying beta-rule and splitting (927), into two cases.
% 47.28/16.51  																																																					|-Branch one:
% 47.28/16.51  																																																					| (758) all_0_90_90 = e0
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Equations (758) can reduce 762 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																					|-Branch two:
% 47.28/16.51  																																																					| (762)  ~ (all_0_90_90 = e0)
% 47.28/16.51  																																																					| (858) all_0_95_95 = e0
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Combining equations (894,858) yields a new equation:
% 47.28/16.51  																																																						| (911) e4 = e0
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Simplifying 911 yields:
% 47.28/16.51  																																																						| (912) e4 = e0
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						| Equations (912) can reduce 23 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																	|-Branch two:
% 47.28/16.51  																																																	| (2095)  ~ (all_0_96_96 = e0)
% 47.28/16.51  																																																	| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.28/16.51  																																																	|
% 47.28/16.51  																																																		+-Applying beta-rule and splitting (84), into two cases.
% 47.28/16.51  																																																		|-Branch one:
% 47.28/16.51  																																																		| (1704) all_0_96_96 = e2
% 47.28/16.51  																																																		|
% 47.28/16.51  																																																			| Equations (1704) can reduce 1638 to:
% 47.28/16.51  																																																			| (311) $false
% 47.28/16.51  																																																			|
% 47.28/16.51  																																																			|-The branch is then unsatisfiable
% 47.28/16.51  																																																		|-Branch two:
% 47.28/16.51  																																																		| (1638)  ~ (all_0_96_96 = e2)
% 47.28/16.51  																																																		| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.28/16.51  																																																		|
% 47.28/16.51  																																																			+-Applying beta-rule and splitting (1400), into two cases.
% 47.28/16.51  																																																			|-Branch one:
% 47.28/16.51  																																																			| (1456) all_0_91_91 = e0
% 47.28/16.51  																																																			|
% 47.28/16.51  																																																				| Equations (1456) can reduce 64 to:
% 47.28/16.51  																																																				| (2296)  ~ (all_0_96_96 = e0)
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																				| Simplifying 2296 yields:
% 47.28/16.51  																																																				| (2095)  ~ (all_0_96_96 = e0)
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																				+-Applying beta-rule and splitting (1707), into two cases.
% 47.28/16.51  																																																				|-Branch one:
% 47.28/16.51  																																																				| (960) all_0_96_96 = e1
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																					| Equations (960) can reduce 1479 to:
% 47.28/16.51  																																																					| (311) $false
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																					|-The branch is then unsatisfiable
% 47.28/16.51  																																																				|-Branch two:
% 47.28/16.51  																																																				| (1479)  ~ (all_0_96_96 = e1)
% 47.28/16.51  																																																				| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																					+-Applying beta-rule and splitting (2016), into two cases.
% 47.28/16.51  																																																					|-Branch one:
% 47.28/16.51  																																																					| (778) all_0_96_96 = e3
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Equations (778) can reduce 964 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																					|-Branch two:
% 47.28/16.51  																																																					| (964)  ~ (all_0_96_96 = e3)
% 47.28/16.51  																																																					| (1837) all_0_96_96 = e0
% 47.28/16.51  																																																					|
% 47.28/16.51  																																																						| Equations (1837) can reduce 2095 to:
% 47.28/16.51  																																																						| (311) $false
% 47.28/16.51  																																																						|
% 47.28/16.51  																																																						|-The branch is then unsatisfiable
% 47.28/16.51  																																																			|-Branch two:
% 47.28/16.51  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 47.28/16.51  																																																			| (1837) all_0_96_96 = e0
% 47.28/16.51  																																																			|
% 47.28/16.51  																																																				| Equations (1837) can reduce 2095 to:
% 47.28/16.51  																																																				| (311) $false
% 47.28/16.51  																																																				|
% 47.28/16.51  																																																				|-The branch is then unsatisfiable
% 47.28/16.51  																																											|-Branch two:
% 47.28/16.51  																																											| (428)  ~ (all_0_97_97 = e3)
% 47.28/16.51  																																											| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 47.28/16.51  																																											|
% 47.28/16.51  																																												+-Applying beta-rule and splitting (102), into two cases.
% 47.28/16.51  																																												|-Branch one:
% 47.28/16.51  																																												| (858) all_0_95_95 = e0
% 47.28/16.51  																																												|
% 47.28/16.51  																																													| Combining equations (894,858) yields a new equation:
% 47.28/16.51  																																													| (911) e4 = e0
% 47.28/16.51  																																													|
% 47.28/16.51  																																													| Simplifying 911 yields:
% 47.28/16.51  																																													| (912) e4 = e0
% 47.28/16.51  																																													|
% 47.28/16.51  																																													| Equations (912) can reduce 23 to:
% 47.28/16.51  																																													| (311) $false
% 47.28/16.51  																																													|
% 47.28/16.51  																																													|-The branch is then unsatisfiable
% 47.28/16.51  																																												|-Branch two:
% 47.28/16.51  																																												| (893)  ~ (all_0_95_95 = e0)
% 47.28/16.51  																																												| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.28/16.51  																																												|
% 47.28/16.51  																																													+-Applying beta-rule and splitting (1921), into two cases.
% 47.28/16.51  																																													|-Branch one:
% 47.28/16.51  																																													| (1837) all_0_96_96 = e0
% 47.28/16.51  																																													|
% 47.28/16.51  																																														| Equations (1837) can reduce 22 to:
% 47.28/16.51  																																														| (938)  ~ (all_0_97_97 = e0)
% 47.28/16.51  																																														|
% 47.28/16.51  																																														| Simplifying 938 yields:
% 47.28/16.51  																																														| (609)  ~ (all_0_97_97 = e0)
% 47.28/16.51  																																														|
% 47.28/16.51  																																														+-Applying beta-rule and splitting (559), into two cases.
% 47.28/16.51  																																														|-Branch one:
% 47.28/16.51  																																														| (560) all_0_97_97 = e0
% 47.28/16.51  																																														|
% 47.28/16.51  																																															| Equations (560) can reduce 609 to:
% 47.28/16.51  																																															| (311) $false
% 47.28/16.51  																																															|
% 47.28/16.51  																																															|-The branch is then unsatisfiable
% 47.28/16.51  																																														|-Branch two:
% 47.28/16.51  																																														| (609)  ~ (all_0_97_97 = e0)
% 47.28/16.51  																																														| (610) all_0_97_97 = e4
% 47.28/16.51  																																														|
% 47.28/16.51  																																															| Equations (610) can reduce 319 to:
% 47.28/16.51  																																															| (311) $false
% 47.28/16.51  																																															|
% 47.28/16.51  																																															|-The branch is then unsatisfiable
% 47.28/16.51  																																													|-Branch two:
% 47.28/16.51  																																													| (2095)  ~ (all_0_96_96 = e0)
% 47.28/16.51  																																													| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.28/16.51  																																													|
% 47.28/16.51  																																														+-Applying beta-rule and splitting (2096), into two cases.
% 47.28/16.51  																																														|-Branch one:
% 47.28/16.51  																																														| (560) all_0_97_97 = e0
% 47.28/16.51  																																														|
% 47.28/16.51  																																															| Equations (560) can reduce 609 to:
% 47.28/16.51  																																															| (311) $false
% 47.28/16.51  																																															|
% 47.28/16.51  																																															|-The branch is then unsatisfiable
% 47.28/16.51  																																														|-Branch two:
% 47.28/16.51  																																														| (609)  ~ (all_0_97_97 = e0)
% 47.28/16.51  																																														| (1121) all_0_98_98 = e0
% 47.28/16.51  																																														|
% 47.28/16.51  																																															| Combining equations (1543,1121) yields a new equation:
% 47.28/16.51  																																															| (1107) e1 = e0
% 47.28/16.51  																																															|
% 47.28/16.51  																																															| Simplifying 1107 yields:
% 47.28/16.51  																																															| (865) e1 = e0
% 47.28/16.51  																																															|
% 47.28/16.51  																																															| Equations (865) can reduce 264 to:
% 47.28/16.51  																																															| (311) $false
% 47.28/16.51  																																															|
% 47.28/16.51  																																															|-The branch is then unsatisfiable
% 47.28/16.51  																																					|-Branch two:
% 47.28/16.51  																																					| (793)  ~ (all_0_82_82 = e3)
% 47.28/16.51  																																					| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 47.28/16.51  																																					|
% 47.28/16.51  																																						+-Applying beta-rule and splitting (2706), into two cases.
% 47.28/16.51  																																						|-Branch one:
% 47.28/16.51  																																						| (910) all_0_82_82 = e0
% 47.28/16.51  																																						|
% 47.28/16.51  																																							| Equations (910) can reduce 914 to:
% 47.28/16.51  																																							| (311) $false
% 47.28/16.51  																																							|
% 47.28/16.51  																																							|-The branch is then unsatisfiable
% 47.28/16.51  																																						|-Branch two:
% 47.28/16.51  																																						| (914)  ~ (all_0_82_82 = e0)
% 47.28/16.51  																																						| (469) all_0_82_82 = e4
% 47.28/16.51  																																						|
% 47.28/16.51  																																							| Equations (469) can reduce 465 to:
% 47.28/16.51  																																							| (311) $false
% 47.28/16.51  																																							|
% 47.28/16.51  																																							|-The branch is then unsatisfiable
% 47.28/16.51  																																				|-Branch two:
% 47.28/16.51  																																				| (436)  ~ (all_0_80_80 = e4)
% 47.28/16.51  																																				| (638) all_0_81_81 = e4
% 47.28/16.51  																																				|
% 47.28/16.51  																																					| Combining equations (638,635) yields a new equation:
% 47.28/16.51  																																					| (790) e4 = e3
% 47.28/16.51  																																					|
% 47.28/16.51  																																					| Simplifying 790 yields:
% 47.28/16.51  																																					| (434) e4 = e3
% 47.28/16.51  																																					|
% 47.28/16.51  																																					| Equations (434) can reduce 177 to:
% 47.28/16.51  																																					| (311) $false
% 47.28/16.51  																																					|
% 47.28/16.51  																																					|-The branch is then unsatisfiable
% 47.28/16.51  																																			|-Branch two:
% 47.28/16.51  																																			| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.51  																																			| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.29/16.51  																																			|
% 47.29/16.51  																																				+-Applying beta-rule and splitting (123), into two cases.
% 47.29/16.51  																																				|-Branch one:
% 47.29/16.51  																																				| (473) all_0_81_81 = e2
% 47.29/16.51  																																				|
% 47.29/16.51  																																					| Equations (473) can reduce 396 to:
% 47.29/16.51  																																					| (311) $false
% 47.29/16.51  																																					|
% 47.29/16.51  																																					|-The branch is then unsatisfiable
% 47.29/16.51  																																				|-Branch two:
% 47.29/16.51  																																				| (396)  ~ (all_0_81_81 = e2)
% 47.29/16.51  																																				| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.29/16.51  																																				|
% 47.29/16.51  																																					+-Applying beta-rule and splitting (641), into two cases.
% 47.29/16.51  																																					|-Branch one:
% 47.29/16.51  																																					| (433) all_0_80_80 = e4
% 47.29/16.51  																																					|
% 47.29/16.51  																																						| Equations (433) can reduce 144 to:
% 47.29/16.51  																																						| (1730)  ~ (all_0_81_81 = e4)
% 47.29/16.51  																																						|
% 47.29/16.51  																																						| Simplifying 1730 yields:
% 47.29/16.51  																																						| (634)  ~ (all_0_81_81 = e4)
% 47.29/16.51  																																						|
% 47.29/16.51  																																						+-Applying beta-rule and splitting (476), into two cases.
% 47.29/16.51  																																						|-Branch one:
% 47.29/16.51  																																						| (477) all_0_81_81 = e1
% 47.29/16.51  																																						|
% 47.29/16.51  																																							| Equations (477) can reduce 628 to:
% 47.29/16.51  																																							| (311) $false
% 47.29/16.51  																																							|
% 47.29/16.51  																																							|-The branch is then unsatisfiable
% 47.29/16.51  																																						|-Branch two:
% 47.29/16.51  																																						| (628)  ~ (all_0_81_81 = e1)
% 47.29/16.51  																																						| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.29/16.51  																																						|
% 47.29/16.51  																																							+-Applying beta-rule and splitting (629), into two cases.
% 47.29/16.51  																																							|-Branch one:
% 47.29/16.51  																																							| (635) all_0_81_81 = e3
% 47.29/16.51  																																							|
% 47.29/16.51  																																								| Equations (635) can reduce 420 to:
% 47.29/16.51  																																								| (311) $false
% 47.29/16.51  																																								|
% 47.29/16.51  																																								|-The branch is then unsatisfiable
% 47.29/16.51  																																							|-Branch two:
% 47.29/16.51  																																							| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.51  																																							| (638) all_0_81_81 = e4
% 47.29/16.51  																																							|
% 47.29/16.51  																																								| Equations (638) can reduce 634 to:
% 47.29/16.51  																																								| (311) $false
% 47.29/16.51  																																								|
% 47.29/16.51  																																								|-The branch is then unsatisfiable
% 47.29/16.51  																																					|-Branch two:
% 47.29/16.51  																																					| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.51  																																					| (638) all_0_81_81 = e4
% 47.29/16.51  																																					|
% 47.29/16.51  																																						| Equations (638) can reduce 634 to:
% 47.29/16.51  																																						| (311) $false
% 47.29/16.51  																																						|
% 47.29/16.51  																																						|-The branch is then unsatisfiable
% 47.29/16.51  																													|-Branch two:
% 47.29/16.51  																													| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.51  																													| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.51  																													|
% 47.29/16.51  																														+-Applying beta-rule and splitting (249), into two cases.
% 47.29/16.51  																														|-Branch one:
% 47.29/16.51  																														| (910) all_0_82_82 = e0
% 47.29/16.51  																														|
% 47.29/16.51  																															| Equations (910) can reduce 255 to:
% 47.29/16.51  																															| (2710)  ~ (all_0_90_90 = e0)
% 47.29/16.51  																															|
% 47.29/16.51  																															| Simplifying 2710 yields:
% 47.29/16.51  																															| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.51  																															|
% 47.29/16.51  																															+-Applying beta-rule and splitting (291), into two cases.
% 47.29/16.51  																															|-Branch one:
% 47.29/16.51  																															| (758) all_0_90_90 = e0
% 47.29/16.51  																															|
% 47.29/16.51  																																| Equations (758) can reduce 762 to:
% 47.29/16.51  																																| (311) $false
% 47.29/16.51  																																|
% 47.29/16.51  																																|-The branch is then unsatisfiable
% 47.29/16.51  																															|-Branch two:
% 47.29/16.51  																															| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.51  																															| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.51  																															|
% 47.29/16.51  																																+-Applying beta-rule and splitting (1455), into two cases.
% 47.29/16.51  																																|-Branch one:
% 47.29/16.51  																																| (1456) all_0_91_91 = e0
% 47.29/16.51  																																|
% 47.29/16.51  																																	| Equations (1456) can reduce 296 to:
% 47.29/16.51  																																	| (510)  ~ (e2 = e0)
% 47.29/16.51  																																	|
% 47.29/16.51  																																	| Simplifying 510 yields:
% 47.29/16.51  																																	| (76)  ~ (e2 = e0)
% 47.29/16.51  																																	|
% 47.29/16.51  																																	| Equations (1456) can reduce 959 to:
% 47.29/16.51  																																	| (859)  ~ (e1 = e0)
% 47.29/16.51  																																	|
% 47.29/16.51  																																	| Simplifying 859 yields:
% 47.29/16.51  																																	| (264)  ~ (e1 = e0)
% 47.29/16.51  																																	|
% 47.29/16.51  																																	| From (1456) and (1703) follows:
% 47.29/16.51  																																	| (2305) op(e2, e0) = e1
% 47.29/16.51  																																	|
% 47.29/16.51  																																	+-Applying beta-rule and splitting (920), into two cases.
% 47.29/16.51  																																	|-Branch one:
% 47.29/16.51  																																	| (861) all_0_87_87 = e0
% 47.29/16.51  																																	|
% 47.29/16.51  																																		| Combining equations (374,861) yields a new equation:
% 47.29/16.51  																																		| (923) e2 = e0
% 47.29/16.51  																																		|
% 47.29/16.51  																																		| Simplifying 923 yields:
% 47.29/16.51  																																		| (379) e2 = e0
% 47.29/16.51  																																		|
% 47.29/16.51  																																		| Equations (379) can reduce 76 to:
% 47.29/16.51  																																		| (311) $false
% 47.29/16.51  																																		|
% 47.29/16.51  																																		|-The branch is then unsatisfiable
% 47.29/16.51  																																	|-Branch two:
% 47.29/16.51  																																	| (889)  ~ (all_0_87_87 = e0)
% 47.29/16.51  																																	| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.51  																																	|
% 47.29/16.51  																																		+-Applying beta-rule and splitting (931), into two cases.
% 47.29/16.51  																																		|-Branch one:
% 47.29/16.51  																																		| (942) all_0_92_92 = e0
% 47.29/16.51  																																		|
% 47.29/16.51  																																			| Combining equations (836,942) yields a new equation:
% 47.29/16.51  																																			| (1107) e1 = e0
% 47.29/16.51  																																			|
% 47.29/16.51  																																			| Simplifying 1107 yields:
% 47.29/16.51  																																			| (865) e1 = e0
% 47.29/16.51  																																			|
% 47.29/16.51  																																			| Equations (865) can reduce 264 to:
% 47.29/16.51  																																			| (311) $false
% 47.29/16.51  																																			|
% 47.29/16.51  																																			|-The branch is then unsatisfiable
% 47.29/16.52  																																		|-Branch two:
% 47.29/16.52  																																		| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.52  																																		| (560) all_0_97_97 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																			| Equations (560) can reduce 486 to:
% 47.29/16.52  																																			| (859)  ~ (e1 = e0)
% 47.29/16.52  																																			|
% 47.29/16.52  																																			| Simplifying 859 yields:
% 47.29/16.52  																																			| (264)  ~ (e1 = e0)
% 47.29/16.52  																																			|
% 47.29/16.52  																																			| Instantiating formula (262) with e2, e0, e1, e0 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields:
% 47.29/16.52  																																			| (865) e1 = e0
% 47.29/16.52  																																			|
% 47.29/16.52  																																			| Equations (865) can reduce 264 to:
% 47.29/16.52  																																			| (311) $false
% 47.29/16.52  																																			|
% 47.29/16.52  																																			|-The branch is then unsatisfiable
% 47.29/16.52  																																|-Branch two:
% 47.29/16.52  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.52  																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.52  																																|
% 47.29/16.52  																																	+-Applying beta-rule and splitting (27), into two cases.
% 47.29/16.52  																																	|-Branch one:
% 47.29/16.52  																																	| (746) all_0_90_90 = e2
% 47.29/16.52  																																	|
% 47.29/16.52  																																		| Equations (746) can reduce 294 to:
% 47.29/16.52  																																		| (311) $false
% 47.29/16.52  																																		|
% 47.29/16.52  																																		|-The branch is then unsatisfiable
% 47.29/16.52  																																	|-Branch two:
% 47.29/16.52  																																	| (294)  ~ (all_0_90_90 = e2)
% 47.29/16.52  																																	| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.29/16.52  																																	|
% 47.29/16.52  																																		+-Applying beta-rule and splitting (749), into two cases.
% 47.29/16.52  																																		|-Branch one:
% 47.29/16.52  																																		| (750) all_0_90_90 = e1
% 47.29/16.52  																																		|
% 47.29/16.52  																																			| Equations (750) can reduce 678 to:
% 47.29/16.52  																																			| (311) $false
% 47.29/16.52  																																			|
% 47.29/16.52  																																			|-The branch is then unsatisfiable
% 47.29/16.52  																																		|-Branch two:
% 47.29/16.52  																																		| (678)  ~ (all_0_90_90 = e1)
% 47.29/16.52  																																		| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																			+-Applying beta-rule and splitting (753), into two cases.
% 47.29/16.52  																																			|-Branch one:
% 47.29/16.52  																																			| (754) all_0_90_90 = e3
% 47.29/16.52  																																			|
% 47.29/16.52  																																				| Equations (754) can reduce 103 to:
% 47.29/16.52  																																				| (1298)  ~ (all_0_91_91 = e3)
% 47.29/16.52  																																				|
% 47.29/16.52  																																				| Simplifying 1298 yields:
% 47.29/16.52  																																				| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.52  																																				|
% 47.29/16.52  																																				| Equations (754) can reduce 294 to:
% 47.29/16.52  																																				| (169)  ~ (e3 = e2)
% 47.29/16.52  																																				|
% 47.29/16.52  																																				| Equations (754) can reduce 678 to:
% 47.29/16.52  																																				| (20)  ~ (e3 = e1)
% 47.29/16.52  																																				|
% 47.29/16.52  																																				| Equations (754) can reduce 762 to:
% 47.29/16.52  																																				| (50)  ~ (e3 = e0)
% 47.29/16.52  																																				|
% 47.29/16.52  																																				+-Applying beta-rule and splitting (285), into two cases.
% 47.29/16.52  																																				|-Branch one:
% 47.29/16.52  																																				| (1708) all_0_79_79 = e3
% 47.29/16.52  																																				|
% 47.29/16.52  																																					| Combining equations (457,1708) yields a new equation:
% 47.29/16.52  																																					| (772) e3 = e1
% 47.29/16.52  																																					|
% 47.29/16.52  																																					| Equations (772) can reduce 20 to:
% 47.29/16.52  																																					| (311) $false
% 47.29/16.52  																																					|
% 47.29/16.52  																																					|-The branch is then unsatisfiable
% 47.29/16.52  																																				|-Branch two:
% 47.29/16.52  																																				| (1711)  ~ (all_0_79_79 = e3)
% 47.29/16.52  																																				| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.52  																																				|
% 47.29/16.52  																																					+-Applying beta-rule and splitting (1400), into two cases.
% 47.29/16.52  																																					|-Branch one:
% 47.29/16.52  																																					| (1456) all_0_91_91 = e0
% 47.29/16.52  																																					|
% 47.29/16.52  																																						| Equations (1456) can reduce 1487 to:
% 47.29/16.52  																																						| (311) $false
% 47.29/16.52  																																						|
% 47.29/16.52  																																						|-The branch is then unsatisfiable
% 47.29/16.52  																																					|-Branch two:
% 47.29/16.52  																																					| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.52  																																					| (1837) all_0_96_96 = e0
% 47.29/16.52  																																					|
% 47.29/16.52  																																						+-Applying beta-rule and splitting (1712), into two cases.
% 47.29/16.52  																																						|-Branch one:
% 47.29/16.52  																																						| (795) all_0_83_83 = e3
% 47.29/16.52  																																						|
% 47.29/16.52  																																							| Combining equations (453,795) yields a new equation:
% 47.29/16.52  																																							| (548) e3 = e2
% 47.29/16.52  																																							|
% 47.29/16.52  																																							| Equations (548) can reduce 169 to:
% 47.29/16.52  																																							| (311) $false
% 47.29/16.52  																																							|
% 47.29/16.52  																																							|-The branch is then unsatisfiable
% 47.29/16.52  																																						|-Branch two:
% 47.29/16.52  																																						| (779)  ~ (all_0_83_83 = e3)
% 47.29/16.52  																																						| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.52  																																						|
% 47.29/16.52  																																							+-Applying beta-rule and splitting (1842), into two cases.
% 47.29/16.52  																																							|-Branch one:
% 47.29/16.52  																																							| (588) all_0_91_91 = e3
% 47.29/16.52  																																							|
% 47.29/16.52  																																								| Equations (588) can reduce 571 to:
% 47.29/16.52  																																								| (311) $false
% 47.29/16.52  																																								|
% 47.29/16.52  																																								|-The branch is then unsatisfiable
% 47.29/16.52  																																							|-Branch two:
% 47.29/16.52  																																							| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.52  																																							| (778) all_0_96_96 = e3
% 47.29/16.52  																																							|
% 47.29/16.52  																																								| Combining equations (1837,778) yields a new equation:
% 47.29/16.52  																																								| (600) e3 = e0
% 47.29/16.52  																																								|
% 47.29/16.52  																																								| Equations (600) can reduce 50 to:
% 47.29/16.52  																																								| (311) $false
% 47.29/16.52  																																								|
% 47.29/16.52  																																								|-The branch is then unsatisfiable
% 47.29/16.52  																																			|-Branch two:
% 47.29/16.52  																																			| (745)  ~ (all_0_90_90 = e3)
% 47.29/16.52  																																			| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.29/16.52  																																			|
% 47.29/16.52  																																				+-Applying beta-rule and splitting (757), into two cases.
% 47.29/16.52  																																				|-Branch one:
% 47.29/16.52  																																				| (758) all_0_90_90 = e0
% 47.29/16.52  																																				|
% 47.29/16.52  																																					| Equations (758) can reduce 762 to:
% 47.29/16.52  																																					| (311) $false
% 47.29/16.52  																																					|
% 47.29/16.52  																																					|-The branch is then unsatisfiable
% 47.29/16.52  																																				|-Branch two:
% 47.29/16.52  																																				| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.52  																																				| (583) all_0_90_90 = e4
% 47.29/16.52  																																				|
% 47.29/16.52  																																					| Equations (583) can reduce 467 to:
% 47.29/16.52  																																					| (311) $false
% 47.29/16.52  																																					|
% 47.29/16.52  																																					|-The branch is then unsatisfiable
% 47.29/16.52  																														|-Branch two:
% 47.29/16.52  																														| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.52  																														| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.52  																														|
% 47.29/16.52  																															+-Applying beta-rule and splitting (920), into two cases.
% 47.29/16.52  																															|-Branch one:
% 47.29/16.52  																															| (861) all_0_87_87 = e0
% 47.29/16.52  																															|
% 47.29/16.52  																																| Combining equations (374,861) yields a new equation:
% 47.29/16.52  																																| (923) e2 = e0
% 47.29/16.52  																																|
% 47.29/16.52  																																| Simplifying 923 yields:
% 47.29/16.52  																																| (379) e2 = e0
% 47.29/16.52  																																|
% 47.29/16.52  																																| Equations (379) can reduce 76 to:
% 47.29/16.52  																																| (311) $false
% 47.29/16.52  																																|
% 47.29/16.52  																																|-The branch is then unsatisfiable
% 47.29/16.52  																															|-Branch two:
% 47.29/16.52  																															| (889)  ~ (all_0_87_87 = e0)
% 47.29/16.52  																															| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.52  																															|
% 47.29/16.52  																																+-Applying beta-rule and splitting (931), into two cases.
% 47.29/16.52  																																|-Branch one:
% 47.29/16.52  																																| (942) all_0_92_92 = e0
% 47.29/16.52  																																|
% 47.29/16.52  																																	| Combining equations (942,836) yields a new equation:
% 47.29/16.52  																																	| (865) e1 = e0
% 47.29/16.52  																																	|
% 47.29/16.52  																																	| Equations (865) can reduce 264 to:
% 47.29/16.52  																																	| (311) $false
% 47.29/16.52  																																	|
% 47.29/16.52  																																	|-The branch is then unsatisfiable
% 47.29/16.52  																																|-Branch two:
% 47.29/16.52  																																| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.52  																																| (560) all_0_97_97 = e0
% 47.29/16.52  																																|
% 47.29/16.52  																																	| Equations (560) can reduce 195 to:
% 47.29/16.52  																																	| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.52  																																	|
% 47.29/16.52  																																	| Equations (560) can reduce 527 to:
% 47.29/16.52  																																	| (510)  ~ (e2 = e0)
% 47.29/16.52  																																	|
% 47.29/16.52  																																	| Simplifying 510 yields:
% 47.29/16.52  																																	| (76)  ~ (e2 = e0)
% 47.29/16.52  																																	|
% 47.29/16.52  																																	+-Applying beta-rule and splitting (1309), into two cases.
% 47.29/16.52  																																	|-Branch one:
% 47.29/16.52  																																	| (798) all_0_83_83 = e0
% 47.29/16.52  																																	|
% 47.29/16.52  																																		| Combining equations (453,798) yields a new equation:
% 47.29/16.52  																																		| (923) e2 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																		| Simplifying 923 yields:
% 47.29/16.52  																																		| (379) e2 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																		| Equations (379) can reduce 76 to:
% 47.29/16.52  																																		| (311) $false
% 47.29/16.52  																																		|
% 47.29/16.52  																																		|-The branch is then unsatisfiable
% 47.29/16.52  																																	|-Branch two:
% 47.29/16.52  																																	| (1314)  ~ (all_0_83_83 = e0)
% 47.29/16.52  																																	| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.52  																																	|
% 47.29/16.52  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 47.29/16.52  																																		|-Branch one:
% 47.29/16.52  																																		| (916) all_0_84_84 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																			| Equations (916) can reduce 919 to:
% 47.29/16.52  																																			| (311) $false
% 47.29/16.52  																																			|
% 47.29/16.52  																																			|-The branch is then unsatisfiable
% 47.29/16.52  																																		|-Branch two:
% 47.29/16.52  																																		| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.52  																																		| (954) all_0_85_85 = e0
% 47.29/16.52  																																		|
% 47.29/16.52  																																			| Equations (954) can reduce 800 to:
% 47.29/16.52  																																			| (311) $false
% 47.29/16.52  																																			|
% 47.29/16.52  																																			|-The branch is then unsatisfiable
% 47.29/16.52  																											|-Branch two:
% 47.29/16.52  																											| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.29/16.52  																											|
% 47.29/16.52  																												| Applying alpha-rule on (4957) yields:
% 47.29/16.52  																												| (4958) all_0_58_58 = e0
% 47.29/16.52  																												| (4959)  ~ (all_0_59_59 = e2)
% 47.29/16.52  																												|
% 47.29/16.52  																												| From (4958) and (212) follows:
% 47.29/16.52  																												| (4960) op(e2, all_0_96_96) = e0
% 47.29/16.52  																												|
% 47.29/16.52  																												+-Applying beta-rule and splitting (2), into two cases.
% 47.29/16.52  																												|-Branch one:
% 47.29/16.52  																												| (916) all_0_84_84 = e0
% 47.29/16.52  																												|
% 47.29/16.52  																													| Combining equations (916,13664) yields a new equation:
% 47.29/16.52  																													| (10066) all_0_46_46 = e0
% 47.29/16.52  																													|
% 47.29/16.52  																													| Equations (916) can reduce 273 to:
% 47.29/16.52  																													| (166)  ~ (all_0_80_80 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Equations (916) can reduce 7 to:
% 47.29/16.52  																													| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Equations (916) can reduce 154 to:
% 47.29/16.52  																													| (799)  ~ (all_0_85_85 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Simplifying 799 yields:
% 47.29/16.52  																													| (800)  ~ (all_0_85_85 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Equations (916) can reduce 195 to:
% 47.29/16.52  																													| (938)  ~ (all_0_97_97 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Simplifying 938 yields:
% 47.29/16.52  																													| (609)  ~ (all_0_97_97 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Equations (916) can reduce 259 to:
% 47.29/16.52  																													| (859)  ~ (e1 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| Simplifying 859 yields:
% 47.29/16.52  																													| (264)  ~ (e1 = e0)
% 47.29/16.52  																													|
% 47.29/16.52  																													| From (916) and (150) follows:
% 47.29/16.52  																													| (11508) op(e3, e0) = all_0_63_63
% 47.29/16.52  																													|
% 47.29/16.52  																													| From (916) and (122) follows:
% 47.29/16.52  																													| (1321) op(e1, e0) = all_0_62_62
% 47.29/16.52  																													|
% 47.29/16.52  																													| Instantiating formula (262) with e3, e0, all_0_63_63, all_0_85_85 and discharging atoms op(e3, e0) = all_0_63_63, op(e3, e0) = all_0_85_85, yields:
% 47.29/16.52  																													| (39385) all_0_63_63 = all_0_85_85
% 47.29/16.52  																													|
% 47.29/16.52  																													| Instantiating formula (262) with e1, e0, all_0_62_62, e2 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = e2, yields:
% 47.29/16.52  																													| (9103) all_0_62_62 = e2
% 47.29/16.52  																													|
% 47.29/16.52  																													| From (39385) and (11508) follows:
% 47.29/16.52  																													| (8) op(e3, e0) = all_0_85_85
% 47.29/16.52  																													|
% 47.29/16.52  																													+-Applying beta-rule and splitting (109), into two cases.
% 47.29/16.52  																													|-Branch one:
% 47.29/16.52  																													| (469) all_0_82_82 = e4
% 47.29/16.52  																													|
% 47.29/16.52  																														| Equations (469) can reduce 209 to:
% 47.29/16.52  																														| (647)  ~ (all_0_85_85 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Simplifying 647 yields:
% 47.29/16.52  																														| (648)  ~ (all_0_85_85 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Equations (469) can reduce 255 to:
% 47.29/16.52  																														| (466)  ~ (all_0_90_90 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Simplifying 466 yields:
% 47.29/16.52  																														| (467)  ~ (all_0_90_90 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Equations (469) can reduce 200 to:
% 47.29/16.52  																														| (314)  ~ (all_0_95_95 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Simplifying 314 yields:
% 47.29/16.52  																														| (315)  ~ (all_0_95_95 = e4)
% 47.29/16.52  																														|
% 47.29/16.52  																														| Equations (469) can reduce 347 to:
% 47.29/16.52  																														| (79)  ~ (e4 = e2)
% 47.29/16.52  																														|
% 47.29/16.52  																														+-Applying beta-rule and splitting (182), into two cases.
% 47.29/16.52  																														|-Branch one:
% 47.29/16.52  																														| (512) all_0_85_85 = e2
% 47.29/16.52  																														|
% 47.29/16.52  																															| Equations (512) can reduce 515 to:
% 47.29/16.52  																															| (311) $false
% 47.29/16.52  																															|
% 47.29/16.52  																															|-The branch is then unsatisfiable
% 47.29/16.52  																														|-Branch two:
% 47.29/16.52  																														| (515)  ~ (all_0_85_85 = e2)
% 47.29/16.52  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.29/16.52  																														|
% 47.29/16.52  																															+-Applying beta-rule and splitting (140), into two cases.
% 47.29/16.52  																															|-Branch one:
% 47.29/16.52  																															| (313) all_0_94_94 = e4
% 47.29/16.52  																															|
% 47.29/16.52  																																| Combining equations (313,1757) yields a new equation:
% 47.29/16.52  																																| (309) e4 = e2
% 47.29/16.52  																																|
% 47.29/16.52  																																| Simplifying 309 yields:
% 47.29/16.52  																																| (310) e4 = e2
% 47.29/16.52  																																|
% 47.29/16.52  																																| Equations (310) can reduce 79 to:
% 47.29/16.52  																																| (311) $false
% 47.29/16.52  																																|
% 47.29/16.52  																																|-The branch is then unsatisfiable
% 47.29/16.52  																															|-Branch two:
% 47.29/16.53  																															| (34849)  ~ (all_0_94_94 = e4)
% 47.29/16.53  																															| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.29/16.53  																															|
% 47.29/16.53  																																+-Applying beta-rule and splitting (171), into two cases.
% 47.29/16.53  																																|-Branch one:
% 47.29/16.53  																																| (789) all_0_82_82 = e3
% 47.29/16.53  																																|
% 47.29/16.53  																																	| Combining equations (469,789) yields a new equation:
% 47.29/16.53  																																	| (790) e4 = e3
% 47.29/16.53  																																	|
% 47.29/16.53  																																	| Simplifying 790 yields:
% 47.29/16.53  																																	| (434) e4 = e3
% 47.29/16.53  																																	|
% 47.29/16.53  																																	| Equations (434) can reduce 177 to:
% 47.29/16.53  																																	| (311) $false
% 47.29/16.53  																																	|
% 47.29/16.53  																																	|-The branch is then unsatisfiable
% 47.29/16.53  																																|-Branch two:
% 47.29/16.53  																																| (793)  ~ (all_0_82_82 = e3)
% 47.29/16.53  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.29/16.53  																																|
% 47.29/16.53  																																	+-Applying beta-rule and splitting (34850), into two cases.
% 47.29/16.53  																																	|-Branch one:
% 47.29/16.53  																																	| (894) all_0_95_95 = e4
% 47.29/16.53  																																	|
% 47.29/16.53  																																		| Equations (894) can reduce 315 to:
% 47.29/16.53  																																		| (311) $false
% 47.29/16.53  																																		|
% 47.29/16.53  																																		|-The branch is then unsatisfiable
% 47.29/16.53  																																	|-Branch two:
% 47.29/16.53  																																	| (315)  ~ (all_0_95_95 = e4)
% 47.29/16.53  																																	| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.29/16.53  																																	|
% 47.29/16.53  																																		+-Applying beta-rule and splitting (1296), into two cases.
% 47.29/16.53  																																		|-Branch one:
% 47.29/16.53  																																		| (795) all_0_83_83 = e3
% 47.29/16.53  																																		|
% 47.29/16.53  																																			| Combining equations (453,795) yields a new equation:
% 47.29/16.53  																																			| (548) e3 = e2
% 47.29/16.53  																																			|
% 47.29/16.53  																																			| Equations (548) can reduce 169 to:
% 47.29/16.53  																																			| (311) $false
% 47.29/16.53  																																			|
% 47.29/16.53  																																			|-The branch is then unsatisfiable
% 47.29/16.53  																																		|-Branch two:
% 47.29/16.53  																																		| (779)  ~ (all_0_83_83 = e3)
% 47.29/16.53  																																		| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.29/16.53  																																		|
% 47.29/16.53  																																			| Equations (453) can reduce 779 to:
% 47.29/16.53  																																			| (356)  ~ (e3 = e2)
% 47.29/16.53  																																			|
% 47.29/16.53  																																			| Simplifying 356 yields:
% 47.29/16.53  																																			| (169)  ~ (e3 = e2)
% 47.29/16.53  																																			|
% 47.29/16.53  																																			+-Applying beta-rule and splitting (168), into two cases.
% 47.29/16.53  																																			|-Branch one:
% 47.29/16.53  																																			| (638) all_0_81_81 = e4
% 47.29/16.53  																																			|
% 47.29/16.53  																																				| Equations (638) can reduce 118 to:
% 47.29/16.53  																																				| (647)  ~ (all_0_85_85 = e4)
% 47.29/16.53  																																				|
% 47.29/16.53  																																				| Simplifying 647 yields:
% 47.29/16.53  																																				| (648)  ~ (all_0_85_85 = e4)
% 47.29/16.53  																																				|
% 47.29/16.53  																																				| Equations (638) can reduce 628 to:
% 47.29/16.53  																																				| (256)  ~ (e4 = e1)
% 47.29/16.53  																																				|
% 47.29/16.53  																																				+-Applying beta-rule and splitting (34882), into two cases.
% 47.29/16.53  																																				|-Branch one:
% 47.29/16.53  																																				| (610) all_0_97_97 = e4
% 47.29/16.53  																																				|
% 47.29/16.53  																																					| Equations (610) can reduce 609 to:
% 47.29/16.53  																																					| (23)  ~ (e4 = e0)
% 47.29/16.53  																																					|
% 47.29/16.53  																																					| From (610) and (252) follows:
% 47.29/16.53  																																					| (30644) op(e1, e4) = all_0_67_67
% 47.29/16.53  																																					|
% 47.29/16.53  																																					+-Applying beta-rule and splitting (106), into two cases.
% 47.29/16.53  																																					|-Branch one:
% 47.29/16.53  																																					| (771) all_0_78_78 = e3
% 47.29/16.53  																																					|
% 47.29/16.53  																																						| Combining equations (400,771) yields a new equation:
% 47.29/16.53  																																						| (548) e3 = e2
% 47.29/16.53  																																						|
% 47.29/16.53  																																						| Equations (548) can reduce 169 to:
% 47.29/16.53  																																						| (311) $false
% 47.29/16.53  																																						|
% 47.29/16.53  																																						|-The branch is then unsatisfiable
% 47.29/16.53  																																					|-Branch two:
% 47.29/16.53  																																					| (418)  ~ (all_0_78_78 = e3)
% 47.29/16.53  																																					| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.29/16.53  																																					|
% 47.29/16.53  																																						+-Applying beta-rule and splitting (45), into two cases.
% 47.29/16.53  																																						|-Branch one:
% 47.29/16.53  																																						| (546) all_0_80_80 = e2
% 47.29/16.53  																																						|
% 47.29/16.53  																																							| Equations (546) can reduce 394 to:
% 47.29/16.53  																																							| (311) $false
% 47.29/16.53  																																							|
% 47.29/16.53  																																							|-The branch is then unsatisfiable
% 47.29/16.53  																																						|-Branch two:
% 47.29/16.53  																																						| (394)  ~ (all_0_80_80 = e2)
% 47.29/16.53  																																						| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.29/16.53  																																						|
% 47.29/16.53  																																							+-Applying beta-rule and splitting (1594), into two cases.
% 47.29/16.53  																																							|-Branch one:
% 47.29/16.53  																																							| (1265) all_0_84_84 = e3
% 47.29/16.53  																																							|
% 47.29/16.53  																																								| Combining equations (916,1265) yields a new equation:
% 47.29/16.53  																																								| (600) e3 = e0
% 47.29/16.53  																																								|
% 47.29/16.53  																																								| Equations (600) can reduce 50 to:
% 47.29/16.53  																																								| (311) $false
% 47.29/16.53  																																								|
% 47.29/16.53  																																								|-The branch is then unsatisfiable
% 47.29/16.53  																																							|-Branch two:
% 47.29/16.53  																																							| (422)  ~ (all_0_84_84 = e3)
% 47.29/16.53  																																							| (804) all_0_85_85 = e3
% 47.29/16.53  																																							|
% 47.29/16.53  																																								| Equations (804) can reduce 648 to:
% 47.29/16.53  																																								| (783)  ~ (e4 = e3)
% 47.29/16.53  																																								|
% 47.29/16.53  																																								| Simplifying 783 yields:
% 47.29/16.53  																																								| (177)  ~ (e4 = e3)
% 47.29/16.53  																																								|
% 47.29/16.53  																																								| Equations (804) can reduce 128 to:
% 47.29/16.53  																																								| (20)  ~ (e3 = e1)
% 47.29/16.53  																																								|
% 47.29/16.53  																																								+-Applying beta-rule and splitting (207), into two cases.
% 47.29/16.53  																																								|-Branch one:
% 47.29/16.53  																																								| (416) all_0_80_80 = e3
% 47.29/16.53  																																								|
% 47.29/16.53  																																									| Equations (416) can reduce 394 to:
% 47.29/16.53  																																									| (169)  ~ (e3 = e2)
% 47.29/16.53  																																									|
% 47.29/16.53  																																									| From (416) and (233) follows:
% 47.29/16.53  																																									| (432) op(e1, e3) = all_0_60_60
% 47.29/16.53  																																									|
% 47.29/16.53  																																									| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 47.29/16.53  																																									| (3520) all_0_67_67 = e4
% 47.29/16.53  																																									|
% 47.29/16.53  																																									| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 47.29/16.53  																																									| (451) all_0_60_60 = all_0_90_90
% 47.29/16.53  																																									|
% 47.29/16.53  																																									+-Applying beta-rule and splitting (276), into two cases.
% 47.29/16.53  																																									|-Branch one:
% 47.29/16.53  																																									| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.29/16.53  																																									|
% 47.29/16.53  																																										+-Applying beta-rule and splitting (577), into two cases.
% 47.29/16.53  																																										|-Branch one:
% 47.29/16.53  																																										| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.29/16.53  																																										|
% 47.29/16.53  																																											+-Applying beta-rule and splitting (578), into two cases.
% 47.29/16.53  																																											|-Branch one:
% 47.29/16.53  																																											| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.29/16.53  																																											|
% 47.29/16.53  																																												| Applying alpha-rule on (579) yields:
% 47.29/16.53  																																												| (580) all_0_60_60 = e4
% 47.29/16.53  																																												| (581)  ~ (all_0_61_61 = e1)
% 47.29/16.53  																																												|
% 47.29/16.53  																																												| Combining equations (451,580) yields a new equation:
% 47.29/16.53  																																												| (582) all_0_90_90 = e4
% 47.29/16.53  																																												|
% 47.29/16.53  																																												| Simplifying 582 yields:
% 47.29/16.53  																																												| (583) all_0_90_90 = e4
% 47.29/16.53  																																												|
% 47.29/16.53  																																												| Equations (583) can reduce 467 to:
% 47.29/16.53  																																												| (311) $false
% 47.29/16.53  																																												|
% 47.29/16.53  																																												|-The branch is then unsatisfiable
% 47.29/16.53  																																											|-Branch two:
% 47.29/16.53  																																											| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.29/16.53  																																											|
% 47.29/16.53  																																												| Applying alpha-rule on (585) yields:
% 47.29/16.53  																																												| (586) all_0_62_62 = e3
% 47.29/16.53  																																												| (587)  ~ (all_0_63_63 = e1)
% 47.29/16.53  																																												|
% 47.29/16.53  																																												| Combining equations (9103,586) yields a new equation:
% 47.29/16.53  																																												| (548) e3 = e2
% 47.29/16.53  																																												|
% 47.29/16.53  																																												| Equations (548) can reduce 169 to:
% 47.29/16.53  																																												| (311) $false
% 47.29/16.53  																																												|
% 47.29/16.53  																																												|-The branch is then unsatisfiable
% 47.29/16.53  																																										|-Branch two:
% 47.29/16.53  																																										| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.29/16.53  																																										|
% 47.29/16.53  																																											| Applying alpha-rule on (590) yields:
% 47.29/16.53  																																											| (591) all_0_64_64 = e2
% 47.29/16.53  																																											| (592)  ~ (all_0_65_65 = e1)
% 47.29/16.53  																																											|
% 47.29/16.53  																																											| Combining equations (9535,591) yields a new equation:
% 47.29/16.53  																																											| (14351) all_0_91_91 = e2
% 47.29/16.53  																																											|
% 47.29/16.53  																																											| Simplifying 14351 yields:
% 47.29/16.53  																																											| (1723) all_0_91_91 = e2
% 47.29/16.53  																																											|
% 47.29/16.53  																																											| Equations (1723) can reduce 296 to:
% 47.29/16.53  																																											| (311) $false
% 47.29/16.53  																																											|
% 47.29/16.53  																																											|-The branch is then unsatisfiable
% 47.29/16.53  																																									|-Branch two:
% 47.29/16.53  																																									| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.29/16.53  																																									|
% 47.29/16.53  																																										| Applying alpha-rule on (596) yields:
% 47.29/16.53  																																										| (597) all_0_67_67 = e0
% 47.29/16.53  																																										| (598)  ~ (all_0_68_68 = e1)
% 47.29/16.53  																																										|
% 47.29/16.53  																																										| Combining equations (3520,597) yields a new equation:
% 47.29/16.53  																																										| (911) e4 = e0
% 47.29/16.53  																																										|
% 47.29/16.53  																																										| Simplifying 911 yields:
% 47.29/16.53  																																										| (912) e4 = e0
% 47.29/16.53  																																										|
% 47.29/16.53  																																										| Equations (912) can reduce 23 to:
% 47.29/16.53  																																										| (311) $false
% 47.29/16.53  																																										|
% 47.29/16.53  																																										|-The branch is then unsatisfiable
% 47.29/16.53  																																								|-Branch two:
% 47.29/16.53  																																								| (2347)  ~ (all_0_80_80 = e3)
% 47.29/16.53  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.29/16.53  																																								|
% 47.29/16.53  																																									+-Applying beta-rule and splitting (1756), into two cases.
% 47.29/16.53  																																									|-Branch one:
% 47.29/16.53  																																									| (1708) all_0_79_79 = e3
% 47.29/16.53  																																									|
% 47.29/16.53  																																										| Combining equations (457,1708) yields a new equation:
% 47.29/16.53  																																										| (772) e3 = e1
% 47.29/16.53  																																										|
% 47.29/16.53  																																										| Equations (772) can reduce 20 to:
% 47.29/16.53  																																										| (311) $false
% 47.29/16.53  																																										|
% 47.29/16.53  																																										|-The branch is then unsatisfiable
% 47.29/16.53  																																									|-Branch two:
% 47.29/16.53  																																									| (1711)  ~ (all_0_79_79 = e3)
% 47.29/16.53  																																									| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.29/16.53  																																									|
% 47.29/16.53  																																										+-Applying beta-rule and splitting (1768), into two cases.
% 47.29/16.53  																																										|-Branch one:
% 47.29/16.53  																																										| (416) all_0_80_80 = e3
% 47.29/16.53  																																										|
% 47.29/16.53  																																											| Equations (416) can reduce 2347 to:
% 47.29/16.53  																																											| (311) $false
% 47.29/16.53  																																											|
% 47.29/16.53  																																											|-The branch is then unsatisfiable
% 47.29/16.53  																																										|-Branch two:
% 47.29/16.53  																																										| (2347)  ~ (all_0_80_80 = e3)
% 47.29/16.53  																																										| (635) all_0_81_81 = e3
% 47.29/16.53  																																										|
% 47.29/16.53  																																											| Combining equations (638,635) yields a new equation:
% 47.29/16.53  																																											| (790) e4 = e3
% 47.29/16.53  																																											|
% 47.29/16.53  																																											| Simplifying 790 yields:
% 47.29/16.53  																																											| (434) e4 = e3
% 47.29/16.53  																																											|
% 47.29/16.53  																																											| Equations (434) can reduce 177 to:
% 47.29/16.53  																																											| (311) $false
% 47.29/16.53  																																											|
% 47.29/16.53  																																											|-The branch is then unsatisfiable
% 47.29/16.53  																																				|-Branch two:
% 47.29/16.53  																																				| (319)  ~ (all_0_97_97 = e4)
% 47.29/16.53  																																				| (2650) all_0_98_98 = e4
% 47.29/16.53  																																				|
% 47.29/16.53  																																					| Combining equations (2650,1543) yields a new equation:
% 47.29/16.53  																																					| (813) e4 = e1
% 47.29/16.53  																																					|
% 47.29/16.53  																																					| Simplifying 813 yields:
% 47.29/16.53  																																					| (814) e4 = e1
% 47.29/16.53  																																					|
% 47.29/16.53  																																					| Equations (814) can reduce 256 to:
% 47.29/16.53  																																					| (311) $false
% 47.29/16.53  																																					|
% 47.29/16.53  																																					|-The branch is then unsatisfiable
% 47.29/16.54  																																			|-Branch two:
% 47.29/16.54  																																			| (634)  ~ (all_0_81_81 = e4)
% 47.29/16.54  																																			| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.29/16.54  																																			|
% 47.29/16.54  																																				+-Applying beta-rule and splitting (641), into two cases.
% 47.29/16.54  																																				|-Branch one:
% 47.29/16.54  																																				| (433) all_0_80_80 = e4
% 47.29/16.54  																																				|
% 47.29/16.54  																																					| Equations (433) can reduce 144 to:
% 47.29/16.54  																																					| (1730)  ~ (all_0_81_81 = e4)
% 47.29/16.54  																																					|
% 47.29/16.54  																																					| Simplifying 1730 yields:
% 47.29/16.54  																																					| (634)  ~ (all_0_81_81 = e4)
% 47.29/16.54  																																					|
% 47.29/16.54  																																					+-Applying beta-rule and splitting (725), into two cases.
% 47.29/16.54  																																					|-Branch one:
% 47.29/16.54  																																					| (804) all_0_85_85 = e3
% 47.29/16.54  																																					|
% 47.29/16.54  																																						| Equations (804) can reduce 118 to:
% 47.29/16.54  																																						| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.54  																																						|
% 47.29/16.54  																																						+-Applying beta-rule and splitting (123), into two cases.
% 47.29/16.54  																																						|-Branch one:
% 47.29/16.54  																																						| (473) all_0_81_81 = e2
% 47.29/16.54  																																						|
% 47.29/16.54  																																							| Equations (473) can reduce 396 to:
% 47.29/16.54  																																							| (311) $false
% 47.29/16.54  																																							|
% 47.29/16.54  																																							|-The branch is then unsatisfiable
% 47.29/16.54  																																						|-Branch two:
% 47.29/16.54  																																						| (396)  ~ (all_0_81_81 = e2)
% 47.29/16.54  																																						| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.29/16.54  																																						|
% 47.29/16.54  																																							+-Applying beta-rule and splitting (476), into two cases.
% 47.29/16.54  																																							|-Branch one:
% 47.29/16.54  																																							| (477) all_0_81_81 = e1
% 47.29/16.54  																																							|
% 47.29/16.54  																																								| Equations (477) can reduce 628 to:
% 47.29/16.54  																																								| (311) $false
% 47.29/16.54  																																								|
% 47.29/16.54  																																								|-The branch is then unsatisfiable
% 47.29/16.54  																																							|-Branch two:
% 47.29/16.54  																																							| (628)  ~ (all_0_81_81 = e1)
% 47.29/16.54  																																							| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.29/16.54  																																							|
% 47.29/16.54  																																								+-Applying beta-rule and splitting (629), into two cases.
% 47.29/16.54  																																								|-Branch one:
% 47.29/16.54  																																								| (635) all_0_81_81 = e3
% 47.29/16.54  																																								|
% 47.29/16.54  																																									| Equations (635) can reduce 420 to:
% 47.29/16.54  																																									| (311) $false
% 47.29/16.54  																																									|
% 47.29/16.54  																																									|-The branch is then unsatisfiable
% 47.29/16.54  																																								|-Branch two:
% 47.29/16.54  																																								| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.54  																																								| (638) all_0_81_81 = e4
% 47.29/16.54  																																								|
% 47.29/16.54  																																									| Equations (638) can reduce 634 to:
% 47.29/16.54  																																									| (311) $false
% 47.29/16.54  																																									|
% 47.29/16.54  																																									|-The branch is then unsatisfiable
% 47.29/16.54  																																					|-Branch two:
% 47.29/16.54  																																					| (952)  ~ (all_0_85_85 = e3)
% 47.29/16.54  																																					| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 47.29/16.54  																																					|
% 47.29/16.54  																																						+-Applying beta-rule and splitting (953), into two cases.
% 47.29/16.54  																																						|-Branch one:
% 47.29/16.54  																																						| (954) all_0_85_85 = e0
% 47.29/16.54  																																						|
% 47.29/16.54  																																							| Equations (954) can reduce 800 to:
% 47.29/16.54  																																							| (311) $false
% 47.29/16.54  																																							|
% 47.29/16.54  																																							|-The branch is then unsatisfiable
% 47.29/16.54  																																						|-Branch two:
% 47.29/16.54  																																						| (800)  ~ (all_0_85_85 = e0)
% 47.29/16.54  																																						| (493) all_0_85_85 = e4
% 47.29/16.54  																																						|
% 47.29/16.54  																																							| Equations (493) can reduce 648 to:
% 47.29/16.54  																																							| (311) $false
% 47.29/16.54  																																							|
% 47.29/16.54  																																							|-The branch is then unsatisfiable
% 47.29/16.54  																																				|-Branch two:
% 47.29/16.54  																																				| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.54  																																				| (638) all_0_81_81 = e4
% 47.29/16.54  																																				|
% 47.29/16.54  																																					| Equations (638) can reduce 634 to:
% 47.29/16.54  																																					| (311) $false
% 47.29/16.54  																																					|
% 47.29/16.54  																																					|-The branch is then unsatisfiable
% 47.29/16.54  																													|-Branch two:
% 47.29/16.54  																													| (465)  ~ (all_0_82_82 = e4)
% 47.29/16.54  																													| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.29/16.54  																													|
% 47.29/16.54  																														+-Applying beta-rule and splitting (10), into two cases.
% 47.29/16.54  																														|-Branch one:
% 47.29/16.54  																														| (530) all_0_82_82 = e2
% 47.29/16.54  																														|
% 47.29/16.54  																															| Equations (530) can reduce 347 to:
% 47.29/16.54  																															| (311) $false
% 47.29/16.54  																															|
% 47.29/16.54  																															|-The branch is then unsatisfiable
% 47.29/16.54  																														|-Branch two:
% 47.29/16.54  																														| (347)  ~ (all_0_82_82 = e2)
% 47.29/16.54  																														| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.29/16.54  																														|
% 47.29/16.54  																															+-Applying beta-rule and splitting (4), into two cases.
% 47.29/16.54  																															|-Branch one:
% 47.29/16.54  																															| (463) all_0_78_78 = e4
% 47.29/16.54  																															|
% 47.29/16.54  																																| Combining equations (400,463) yields a new equation:
% 47.29/16.54  																																| (310) e4 = e2
% 47.29/16.54  																																|
% 47.29/16.54  																																| Equations (310) can reduce 79 to:
% 47.29/16.54  																																| (311) $false
% 47.29/16.54  																																|
% 47.29/16.54  																																|-The branch is then unsatisfiable
% 47.29/16.54  																															|-Branch two:
% 47.29/16.54  																															| (640)  ~ (all_0_78_78 = e4)
% 47.29/16.54  																															| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.29/16.54  																															|
% 47.29/16.54  																																+-Applying beta-rule and splitting (3625), into two cases.
% 47.29/16.54  																																|-Branch one:
% 47.29/16.54  																																| (469) all_0_82_82 = e4
% 47.29/16.54  																																|
% 47.29/16.54  																																	| Equations (469) can reduce 465 to:
% 47.29/16.54  																																	| (311) $false
% 47.29/16.54  																																	|
% 47.29/16.54  																																	|-The branch is then unsatisfiable
% 47.29/16.54  																																|-Branch two:
% 47.29/16.54  																																| (465)  ~ (all_0_82_82 = e4)
% 47.29/16.54  																																| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.29/16.54  																																|
% 47.29/16.54  																																	+-Applying beta-rule and splitting (472), into two cases.
% 47.29/16.54  																																	|-Branch one:
% 47.29/16.54  																																	| (438) all_0_84_84 = e4
% 47.29/16.54  																																	|
% 47.29/16.54  																																		| Combining equations (438,916) yields a new equation:
% 47.29/16.54  																																		| (911) e4 = e0
% 47.29/16.54  																																		|
% 47.29/16.54  																																		| Simplifying 911 yields:
% 47.29/16.54  																																		| (912) e4 = e0
% 47.29/16.54  																																		|
% 47.29/16.54  																																		| Equations (912) can reduce 23 to:
% 47.29/16.54  																																		| (311) $false
% 47.29/16.54  																																		|
% 47.29/16.54  																																		|-The branch is then unsatisfiable
% 47.29/16.54  																																	|-Branch two:
% 47.29/16.54  																																	| (417)  ~ (all_0_84_84 = e4)
% 47.29/16.54  																																	| (493) all_0_85_85 = e4
% 47.29/16.54  																																	|
% 47.29/16.54  																																		| Equations (493) can reduce 118 to:
% 47.29/16.54  																																		| (634)  ~ (all_0_81_81 = e4)
% 47.29/16.54  																																		|
% 47.29/16.54  																																		| Equations (493) can reduce 209 to:
% 47.29/16.54  																																		| (465)  ~ (all_0_82_82 = e4)
% 47.29/16.54  																																		|
% 47.29/16.54  																																		| From (493) and (8) follows:
% 47.29/16.54  																																		| (4406) op(e3, e0) = e4
% 47.29/16.54  																																		|
% 47.29/16.54  																																		+-Applying beta-rule and splitting (250), into two cases.
% 47.29/16.54  																																		|-Branch one:
% 47.29/16.54  																																		| (635) all_0_81_81 = e3
% 47.29/16.54  																																		|
% 47.29/16.54  																																			| Equations (635) can reduce 634 to:
% 47.29/16.54  																																			| (783)  ~ (e4 = e3)
% 47.29/16.54  																																			|
% 47.29/16.54  																																			| Simplifying 783 yields:
% 47.29/16.54  																																			| (177)  ~ (e4 = e3)
% 47.29/16.54  																																			|
% 47.29/16.54  																																			+-Applying beta-rule and splitting (641), into two cases.
% 47.29/16.54  																																			|-Branch one:
% 47.29/16.54  																																			| (433) all_0_80_80 = e4
% 47.29/16.54  																																			|
% 47.29/16.54  																																				| Equations (433) can reduce 166 to:
% 47.29/16.54  																																				| (23)  ~ (e4 = e0)
% 47.29/16.54  																																				|
% 47.29/16.54  																																				+-Applying beta-rule and splitting (2205), into two cases.
% 47.29/16.54  																																				|-Branch one:
% 47.29/16.54  																																				| (789) all_0_82_82 = e3
% 47.29/16.54  																																				|
% 47.29/16.54  																																					+-Applying beta-rule and splitting (112), into two cases.
% 47.29/16.54  																																					|-Branch one:
% 47.29/16.54  																																					| (538) all_0_97_97 = e2
% 47.29/16.54  																																					|
% 47.29/16.54  																																						| Equations (538) can reduce 527 to:
% 47.29/16.54  																																						| (311) $false
% 47.29/16.54  																																						|
% 47.29/16.54  																																						|-The branch is then unsatisfiable
% 47.29/16.54  																																					|-Branch two:
% 47.29/16.54  																																					| (527)  ~ (all_0_97_97 = e2)
% 47.29/16.54  																																					| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 47.29/16.54  																																					|
% 47.29/16.54  																																						+-Applying beta-rule and splitting (541), into two cases.
% 47.29/16.54  																																						|-Branch one:
% 47.29/16.54  																																						| (542) all_0_97_97 = e1
% 47.29/16.54  																																						|
% 47.29/16.54  																																							| Equations (542) can reduce 486 to:
% 47.29/16.54  																																							| (311) $false
% 47.29/16.54  																																							|
% 47.29/16.54  																																							|-The branch is then unsatisfiable
% 47.29/16.54  																																						|-Branch two:
% 47.29/16.54  																																						| (486)  ~ (all_0_97_97 = e1)
% 47.29/16.54  																																						| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 47.29/16.54  																																						|
% 47.29/16.54  																																							+-Applying beta-rule and splitting (27), into two cases.
% 47.29/16.54  																																							|-Branch one:
% 47.29/16.54  																																							| (746) all_0_90_90 = e2
% 47.29/16.54  																																							|
% 47.29/16.54  																																								| Equations (746) can reduce 294 to:
% 47.29/16.54  																																								| (311) $false
% 47.29/16.54  																																								|
% 47.29/16.54  																																								|-The branch is then unsatisfiable
% 47.29/16.54  																																							|-Branch two:
% 47.29/16.54  																																							| (294)  ~ (all_0_90_90 = e2)
% 47.29/16.54  																																							| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.29/16.54  																																							|
% 47.29/16.54  																																								+-Applying beta-rule and splitting (3629), into two cases.
% 47.29/16.54  																																								|-Branch one:
% 47.29/16.54  																																								| (583) all_0_90_90 = e4
% 47.29/16.54  																																								|
% 47.29/16.54  																																									| Equations (583) can reduce 467 to:
% 47.29/16.54  																																									| (311) $false
% 47.29/16.54  																																									|
% 47.29/16.54  																																									|-The branch is then unsatisfiable
% 47.29/16.54  																																								|-Branch two:
% 47.29/16.54  																																								| (467)  ~ (all_0_90_90 = e4)
% 47.29/16.54  																																								| (894) all_0_95_95 = e4
% 47.29/16.54  																																								|
% 47.29/16.54  																																									| Equations (894) can reduce 279 to:
% 47.29/16.54  																																									| (316)  ~ (all_0_96_96 = e4)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| Simplifying 316 yields:
% 47.29/16.54  																																									| (115)  ~ (all_0_96_96 = e4)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| Equations (894) can reduce 105 to:
% 47.29/16.54  																																									| (318)  ~ (all_0_97_97 = e4)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| Simplifying 318 yields:
% 47.29/16.54  																																									| (319)  ~ (all_0_97_97 = e4)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| Equations (894) can reduce 355 to:
% 47.29/16.54  																																									| (79)  ~ (e4 = e2)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| Equations (894) can reduce 680 to:
% 47.29/16.54  																																									| (256)  ~ (e4 = e1)
% 47.29/16.54  																																									|
% 47.29/16.54  																																									| From (894) and (121) follows:
% 47.29/16.54  																																									| (39580) op(e3, e4) = all_0_50_50
% 47.29/16.54  																																									|
% 47.29/16.54  																																									+-Applying beta-rule and splitting (749), into two cases.
% 47.29/16.54  																																									|-Branch one:
% 47.29/16.54  																																									| (750) all_0_90_90 = e1
% 47.29/16.54  																																									|
% 47.29/16.54  																																										| Equations (750) can reduce 678 to:
% 47.29/16.54  																																										| (311) $false
% 47.29/16.54  																																										|
% 47.29/16.54  																																										|-The branch is then unsatisfiable
% 47.29/16.54  																																									|-Branch two:
% 47.29/16.54  																																									| (678)  ~ (all_0_90_90 = e1)
% 47.29/16.54  																																									| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.29/16.54  																																									|
% 47.29/16.54  																																										+-Applying beta-rule and splitting (545), into two cases.
% 47.29/16.54  																																										|-Branch one:
% 47.29/16.54  																																										| (556) all_0_97_97 = e3
% 47.29/16.54  																																										|
% 47.29/16.54  																																											| Equations (556) can reduce 22 to:
% 47.29/16.54  																																											| (964)  ~ (all_0_96_96 = e3)
% 47.29/16.54  																																											|
% 47.29/16.54  																																											| Equations (556) can reduce 609 to:
% 47.29/16.54  																																											| (50)  ~ (e3 = e0)
% 47.29/16.54  																																											|
% 47.29/16.54  																																											+-Applying beta-rule and splitting (102), into two cases.
% 47.29/16.54  																																											|-Branch one:
% 47.29/16.54  																																											| (858) all_0_95_95 = e0
% 47.29/16.54  																																											|
% 47.29/16.54  																																												| Combining equations (858,894) yields a new equation:
% 47.29/16.54  																																												| (912) e4 = e0
% 47.29/16.54  																																												|
% 47.29/16.54  																																												| Equations (912) can reduce 23 to:
% 47.29/16.54  																																												| (311) $false
% 47.29/16.54  																																												|
% 47.29/16.54  																																												|-The branch is then unsatisfiable
% 47.29/16.54  																																											|-Branch two:
% 47.29/16.54  																																											| (893)  ~ (all_0_95_95 = e0)
% 47.29/16.54  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.29/16.54  																																											|
% 47.29/16.54  																																												+-Applying beta-rule and splitting (254), into two cases.
% 47.29/16.54  																																												|-Branch one:
% 47.29/16.54  																																												| (910) all_0_82_82 = e0
% 47.29/16.54  																																												|
% 47.29/16.54  																																													| Combining equations (789,910) yields a new equation:
% 47.29/16.54  																																													| (599) e3 = e0
% 47.29/16.54  																																													|
% 47.29/16.54  																																													| Simplifying 599 yields:
% 47.29/16.54  																																													| (600) e3 = e0
% 47.29/16.54  																																													|
% 47.29/16.54  																																													| Equations (600) can reduce 50 to:
% 47.29/16.54  																																													| (311) $false
% 47.29/16.54  																																													|
% 47.29/16.54  																																													|-The branch is then unsatisfiable
% 47.29/16.54  																																												|-Branch two:
% 47.29/16.54  																																												| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.54  																																												| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.29/16.54  																																												|
% 47.29/16.54  																																													+-Applying beta-rule and splitting (1921), into two cases.
% 47.29/16.54  																																													|-Branch one:
% 47.29/16.54  																																													| (1837) all_0_96_96 = e0
% 47.29/16.54  																																													|
% 47.29/16.54  																																														| Equations (1837) can reduce 115 to:
% 47.29/16.54  																																														| (904)  ~ (e4 = e0)
% 47.29/16.54  																																														|
% 47.29/16.54  																																														| Simplifying 904 yields:
% 47.29/16.54  																																														| (23)  ~ (e4 = e0)
% 47.29/16.54  																																														|
% 47.29/16.54  																																														| Equations (1837) can reduce 1479 to:
% 47.29/16.54  																																														| (859)  ~ (e1 = e0)
% 47.29/16.54  																																														|
% 47.29/16.54  																																														| Simplifying 859 yields:
% 47.29/16.54  																																														| (264)  ~ (e1 = e0)
% 47.29/16.54  																																														|
% 47.29/16.54  																																														+-Applying beta-rule and splitting (291), into two cases.
% 47.29/16.54  																																														|-Branch one:
% 47.29/16.54  																																														| (758) all_0_90_90 = e0
% 47.29/16.54  																																														|
% 47.29/16.54  																																															| Equations (758) can reduce 294 to:
% 47.29/16.54  																																															| (510)  ~ (e2 = e0)
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| Simplifying 510 yields:
% 47.29/16.54  																																															| (76)  ~ (e2 = e0)
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| Equations (758) can reduce 678 to:
% 47.29/16.54  																																															| (859)  ~ (e1 = e0)
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| Simplifying 859 yields:
% 47.29/16.54  																																															| (264)  ~ (e1 = e0)
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| From (758) and (217) follows:
% 47.29/16.54  																																															| (13796) op(e3, e0) = all_0_48_48
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| Instantiating formula (262) with e3, e4, all_0_50_50, e1 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = e1, yields:
% 47.29/16.54  																																															| (39636) all_0_50_50 = e1
% 47.29/16.54  																																															|
% 47.29/16.54  																																															| Instantiating formula (262) with e3, e0, e4, all_0_48_48 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e4, yields:
% 47.29/16.54  																																															| (13902) all_0_48_48 = e4
% 47.29/16.54  																																															|
% 47.29/16.54  																																															+-Applying beta-rule and splitting (186), into two cases.
% 47.29/16.54  																																															|-Branch one:
% 47.29/16.54  																																															| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.29/16.54  																																															|
% 47.29/16.54  																																																+-Applying beta-rule and splitting (726), into two cases.
% 47.29/16.54  																																																|-Branch one:
% 47.29/16.54  																																																| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.29/16.54  																																																|
% 47.29/16.54  																																																	+-Applying beta-rule and splitting (727), into two cases.
% 47.29/16.54  																																																	|-Branch one:
% 47.29/16.54  																																																	| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.29/16.54  																																																	|
% 47.29/16.54  																																																		| Applying alpha-rule on (728) yields:
% 47.29/16.54  																																																		| (729) all_0_43_43 = e4
% 47.29/16.54  																																																		| (730)  ~ (all_0_44_44 = e3)
% 47.29/16.54  																																																		|
% 47.29/16.54  																																																		| Combining equations (729,689) yields a new equation:
% 47.29/16.54  																																																		| (309) e4 = e2
% 47.29/16.54  																																																		|
% 47.29/16.54  																																																		| Simplifying 309 yields:
% 47.29/16.54  																																																		| (310) e4 = e2
% 47.29/16.54  																																																		|
% 47.29/16.54  																																																		| Equations (310) can reduce 79 to:
% 47.29/16.54  																																																		| (311) $false
% 47.29/16.54  																																																		|
% 47.29/16.54  																																																		|-The branch is then unsatisfiable
% 47.29/16.54  																																																	|-Branch two:
% 47.29/16.54  																																																	| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.29/16.54  																																																	|
% 47.29/16.54  																																																		| Applying alpha-rule on (734) yields:
% 47.29/16.54  																																																		| (735) all_0_46_46 = e2
% 47.29/16.54  																																																		| (736)  ~ (all_0_47_47 = e3)
% 47.29/16.54  																																																		|
% 47.29/16.55  																																																		| Combining equations (10066,735) yields a new equation:
% 47.29/16.55  																																																		| (379) e2 = e0
% 47.29/16.55  																																																		|
% 47.29/16.55  																																																		| Equations (379) can reduce 76 to:
% 47.29/16.55  																																																		| (311) $false
% 47.29/16.55  																																																		|
% 47.29/16.55  																																																		|-The branch is then unsatisfiable
% 47.29/16.55  																																																|-Branch two:
% 47.29/16.55  																																																| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.29/16.55  																																																|
% 47.29/16.55  																																																	| Applying alpha-rule on (740) yields:
% 47.29/16.55  																																																	| (741) all_0_48_48 = e1
% 47.29/16.55  																																																	| (742)  ~ (all_0_49_49 = e3)
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	| Combining equations (741,13902) yields a new equation:
% 47.29/16.55  																																																	| (814) e4 = e1
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	| Equations (814) can reduce 256 to:
% 47.29/16.55  																																																	| (311) $false
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	|-The branch is then unsatisfiable
% 47.29/16.55  																																															|-Branch two:
% 47.29/16.55  																																															| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.29/16.55  																																															|
% 47.29/16.55  																																																| Applying alpha-rule on (973) yields:
% 47.29/16.55  																																																| (974) all_0_50_50 = e0
% 47.29/16.55  																																																| (975)  ~ (all_0_51_51 = e3)
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Combining equations (39636,974) yields a new equation:
% 47.29/16.55  																																																| (1107) e1 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Simplifying 1107 yields:
% 47.29/16.55  																																																| (865) e1 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Equations (865) can reduce 264 to:
% 47.29/16.55  																																																| (311) $false
% 47.29/16.55  																																																|
% 47.29/16.55  																																																|-The branch is then unsatisfiable
% 47.29/16.55  																																														|-Branch two:
% 47.29/16.55  																																														| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.55  																																														|
% 47.29/16.55  																																															+-Applying beta-rule and splitting (915), into two cases.
% 47.29/16.55  																																															|-Branch one:
% 47.29/16.55  																																															| (378) all_0_86_86 = e0
% 47.29/16.55  																																															|
% 47.29/16.55  																																																| Combining equations (384,378) yields a new equation:
% 47.29/16.55  																																																| (1107) e1 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Simplifying 1107 yields:
% 47.29/16.55  																																																| (865) e1 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Equations (865) can reduce 264 to:
% 47.29/16.55  																																																| (311) $false
% 47.29/16.55  																																																|
% 47.29/16.55  																																																|-The branch is then unsatisfiable
% 47.29/16.55  																																															|-Branch two:
% 47.29/16.55  																																															| (381)  ~ (all_0_86_86 = e0)
% 47.29/16.55  																																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.29/16.55  																																															|
% 47.29/16.55  																																																+-Applying beta-rule and splitting (927), into two cases.
% 47.29/16.55  																																																|-Branch one:
% 47.29/16.55  																																																| (758) all_0_90_90 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																	| Equations (758) can reduce 762 to:
% 47.29/16.55  																																																	| (311) $false
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	|-The branch is then unsatisfiable
% 47.29/16.55  																																																|-Branch two:
% 47.29/16.55  																																																| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																																																| (858) all_0_95_95 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																	| Combining equations (894,858) yields a new equation:
% 47.29/16.55  																																																	| (911) e4 = e0
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	| Simplifying 911 yields:
% 47.29/16.55  																																																	| (912) e4 = e0
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	| Equations (912) can reduce 23 to:
% 47.29/16.55  																																																	| (311) $false
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	|-The branch is then unsatisfiable
% 47.29/16.55  																																													|-Branch two:
% 47.29/16.55  																																													| (2095)  ~ (all_0_96_96 = e0)
% 47.29/16.55  																																													| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.29/16.55  																																													|
% 47.29/16.55  																																														+-Applying beta-rule and splitting (84), into two cases.
% 47.29/16.55  																																														|-Branch one:
% 47.29/16.55  																																														| (1704) all_0_96_96 = e2
% 47.29/16.55  																																														|
% 47.29/16.55  																																															| Equations (1704) can reduce 1638 to:
% 47.29/16.55  																																															| (311) $false
% 47.29/16.55  																																															|
% 47.29/16.55  																																															|-The branch is then unsatisfiable
% 47.29/16.55  																																														|-Branch two:
% 47.29/16.55  																																														| (1638)  ~ (all_0_96_96 = e2)
% 47.29/16.55  																																														| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.29/16.55  																																														|
% 47.29/16.55  																																															+-Applying beta-rule and splitting (1400), into two cases.
% 47.29/16.55  																																															|-Branch one:
% 47.29/16.55  																																															| (1456) all_0_91_91 = e0
% 47.29/16.55  																																															|
% 47.29/16.55  																																																| Equations (1456) can reduce 64 to:
% 47.29/16.55  																																																| (2296)  ~ (all_0_96_96 = e0)
% 47.29/16.55  																																																|
% 47.29/16.55  																																																| Simplifying 2296 yields:
% 47.29/16.55  																																																| (2095)  ~ (all_0_96_96 = e0)
% 47.29/16.55  																																																|
% 47.29/16.55  																																																+-Applying beta-rule and splitting (1707), into two cases.
% 47.29/16.55  																																																|-Branch one:
% 47.29/16.55  																																																| (960) all_0_96_96 = e1
% 47.29/16.55  																																																|
% 47.29/16.55  																																																	| Equations (960) can reduce 1479 to:
% 47.29/16.55  																																																	| (311) $false
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																	|-The branch is then unsatisfiable
% 47.29/16.55  																																																|-Branch two:
% 47.29/16.55  																																																| (1479)  ~ (all_0_96_96 = e1)
% 47.29/16.55  																																																| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.29/16.55  																																																|
% 47.29/16.55  																																																	+-Applying beta-rule and splitting (2016), into two cases.
% 47.29/16.55  																																																	|-Branch one:
% 47.29/16.55  																																																	| (778) all_0_96_96 = e3
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																		| Equations (778) can reduce 964 to:
% 47.29/16.55  																																																		| (311) $false
% 47.29/16.55  																																																		|
% 47.29/16.55  																																																		|-The branch is then unsatisfiable
% 47.29/16.55  																																																	|-Branch two:
% 47.29/16.55  																																																	| (964)  ~ (all_0_96_96 = e3)
% 47.29/16.55  																																																	| (1837) all_0_96_96 = e0
% 47.29/16.55  																																																	|
% 47.29/16.55  																																																		| Equations (1837) can reduce 2095 to:
% 47.29/16.55  																																																		| (311) $false
% 47.29/16.55  																																																		|
% 47.29/16.55  																																																		|-The branch is then unsatisfiable
% 47.29/16.55  																																															|-Branch two:
% 47.29/16.55  																																															| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.55  																																															| (1837) all_0_96_96 = e0
% 47.29/16.55  																																															|
% 47.29/16.55  																																																| Equations (1837) can reduce 2095 to:
% 47.29/16.55  																																																| (311) $false
% 47.29/16.55  																																																|
% 47.29/16.55  																																																|-The branch is then unsatisfiable
% 47.29/16.55  																																										|-Branch two:
% 47.29/16.55  																																										| (428)  ~ (all_0_97_97 = e3)
% 47.29/16.55  																																										| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 47.29/16.55  																																										|
% 47.29/16.55  																																											+-Applying beta-rule and splitting (102), into two cases.
% 47.29/16.55  																																											|-Branch one:
% 47.29/16.55  																																											| (858) all_0_95_95 = e0
% 47.29/16.55  																																											|
% 47.29/16.55  																																												| Combining equations (894,858) yields a new equation:
% 47.29/16.55  																																												| (911) e4 = e0
% 47.29/16.55  																																												|
% 47.29/16.55  																																												| Simplifying 911 yields:
% 47.29/16.55  																																												| (912) e4 = e0
% 47.29/16.55  																																												|
% 47.29/16.55  																																												| Equations (912) can reduce 23 to:
% 47.29/16.55  																																												| (311) $false
% 47.29/16.55  																																												|
% 47.29/16.55  																																												|-The branch is then unsatisfiable
% 47.29/16.55  																																											|-Branch two:
% 47.29/16.55  																																											| (893)  ~ (all_0_95_95 = e0)
% 47.29/16.55  																																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.29/16.55  																																											|
% 47.29/16.55  																																												+-Applying beta-rule and splitting (1921), into two cases.
% 47.29/16.55  																																												|-Branch one:
% 47.29/16.55  																																												| (1837) all_0_96_96 = e0
% 47.29/16.55  																																												|
% 47.29/16.55  																																													| Equations (1837) can reduce 22 to:
% 47.29/16.55  																																													| (938)  ~ (all_0_97_97 = e0)
% 47.29/16.55  																																													|
% 47.29/16.55  																																													| Simplifying 938 yields:
% 47.29/16.55  																																													| (609)  ~ (all_0_97_97 = e0)
% 47.29/16.55  																																													|
% 47.29/16.55  																																													+-Applying beta-rule and splitting (559), into two cases.
% 47.29/16.55  																																													|-Branch one:
% 47.29/16.55  																																													| (560) all_0_97_97 = e0
% 47.29/16.55  																																													|
% 47.29/16.55  																																														| Equations (560) can reduce 609 to:
% 47.29/16.55  																																														| (311) $false
% 47.29/16.55  																																														|
% 47.29/16.55  																																														|-The branch is then unsatisfiable
% 47.29/16.55  																																													|-Branch two:
% 47.29/16.55  																																													| (609)  ~ (all_0_97_97 = e0)
% 47.29/16.55  																																													| (610) all_0_97_97 = e4
% 47.29/16.55  																																													|
% 47.29/16.55  																																														| Equations (610) can reduce 319 to:
% 47.29/16.55  																																														| (311) $false
% 47.29/16.55  																																														|
% 47.29/16.55  																																														|-The branch is then unsatisfiable
% 47.29/16.55  																																												|-Branch two:
% 47.29/16.55  																																												| (2095)  ~ (all_0_96_96 = e0)
% 47.29/16.55  																																												| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.29/16.55  																																												|
% 47.29/16.55  																																													+-Applying beta-rule and splitting (2096), into two cases.
% 47.29/16.55  																																													|-Branch one:
% 47.29/16.55  																																													| (560) all_0_97_97 = e0
% 47.29/16.55  																																													|
% 47.29/16.55  																																														| Equations (560) can reduce 609 to:
% 47.29/16.55  																																														| (311) $false
% 47.29/16.55  																																														|
% 47.29/16.55  																																														|-The branch is then unsatisfiable
% 47.29/16.55  																																													|-Branch two:
% 47.29/16.55  																																													| (609)  ~ (all_0_97_97 = e0)
% 47.29/16.55  																																													| (1121) all_0_98_98 = e0
% 47.29/16.55  																																													|
% 47.29/16.55  																																														| Combining equations (1543,1121) yields a new equation:
% 47.29/16.55  																																														| (1107) e1 = e0
% 47.29/16.55  																																														|
% 47.29/16.55  																																														| Simplifying 1107 yields:
% 47.29/16.55  																																														| (865) e1 = e0
% 47.29/16.55  																																														|
% 47.29/16.55  																																														| Equations (865) can reduce 264 to:
% 47.29/16.55  																																														| (311) $false
% 47.29/16.55  																																														|
% 47.29/16.55  																																														|-The branch is then unsatisfiable
% 47.29/16.55  																																				|-Branch two:
% 47.29/16.55  																																				| (793)  ~ (all_0_82_82 = e3)
% 47.29/16.55  																																				| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 47.29/16.55  																																				|
% 47.29/16.55  																																					+-Applying beta-rule and splitting (2706), into two cases.
% 47.29/16.55  																																					|-Branch one:
% 47.29/16.55  																																					| (910) all_0_82_82 = e0
% 47.29/16.55  																																					|
% 47.29/16.55  																																						| Equations (910) can reduce 914 to:
% 47.29/16.55  																																						| (311) $false
% 47.29/16.55  																																						|
% 47.29/16.55  																																						|-The branch is then unsatisfiable
% 47.29/16.55  																																					|-Branch two:
% 47.29/16.55  																																					| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.55  																																					| (469) all_0_82_82 = e4
% 47.29/16.55  																																					|
% 47.29/16.55  																																						| Equations (469) can reduce 465 to:
% 47.29/16.55  																																						| (311) $false
% 47.29/16.55  																																						|
% 47.29/16.55  																																						|-The branch is then unsatisfiable
% 47.29/16.55  																																			|-Branch two:
% 47.29/16.55  																																			| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.55  																																			| (638) all_0_81_81 = e4
% 47.29/16.55  																																			|
% 47.29/16.55  																																				| Combining equations (638,635) yields a new equation:
% 47.29/16.55  																																				| (790) e4 = e3
% 47.29/16.55  																																				|
% 47.29/16.55  																																				| Simplifying 790 yields:
% 47.29/16.55  																																				| (434) e4 = e3
% 47.29/16.55  																																				|
% 47.29/16.55  																																				| Equations (434) can reduce 177 to:
% 47.29/16.55  																																				| (311) $false
% 47.29/16.55  																																				|
% 47.29/16.55  																																				|-The branch is then unsatisfiable
% 47.29/16.55  																																		|-Branch two:
% 47.29/16.55  																																		| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.55  																																		| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.29/16.55  																																		|
% 47.29/16.55  																																			+-Applying beta-rule and splitting (123), into two cases.
% 47.29/16.55  																																			|-Branch one:
% 47.29/16.55  																																			| (473) all_0_81_81 = e2
% 47.29/16.55  																																			|
% 47.29/16.55  																																				| Equations (473) can reduce 396 to:
% 47.29/16.55  																																				| (311) $false
% 47.29/16.55  																																				|
% 47.29/16.55  																																				|-The branch is then unsatisfiable
% 47.29/16.55  																																			|-Branch two:
% 47.29/16.55  																																			| (396)  ~ (all_0_81_81 = e2)
% 47.29/16.55  																																			| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.29/16.55  																																			|
% 47.29/16.55  																																				+-Applying beta-rule and splitting (641), into two cases.
% 47.29/16.55  																																				|-Branch one:
% 47.29/16.55  																																				| (433) all_0_80_80 = e4
% 47.29/16.55  																																				|
% 47.29/16.55  																																					| Equations (433) can reduce 144 to:
% 47.29/16.55  																																					| (1730)  ~ (all_0_81_81 = e4)
% 47.29/16.55  																																					|
% 47.29/16.55  																																					| Simplifying 1730 yields:
% 47.29/16.55  																																					| (634)  ~ (all_0_81_81 = e4)
% 47.29/16.55  																																					|
% 47.29/16.55  																																					+-Applying beta-rule and splitting (476), into two cases.
% 47.29/16.55  																																					|-Branch one:
% 47.29/16.55  																																					| (477) all_0_81_81 = e1
% 47.29/16.55  																																					|
% 47.29/16.55  																																						| Equations (477) can reduce 628 to:
% 47.29/16.55  																																						| (311) $false
% 47.29/16.55  																																						|
% 47.29/16.55  																																						|-The branch is then unsatisfiable
% 47.29/16.55  																																					|-Branch two:
% 47.29/16.55  																																					| (628)  ~ (all_0_81_81 = e1)
% 47.29/16.55  																																					| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.29/16.55  																																					|
% 47.29/16.55  																																						+-Applying beta-rule and splitting (629), into two cases.
% 47.29/16.55  																																						|-Branch one:
% 47.29/16.55  																																						| (635) all_0_81_81 = e3
% 47.29/16.55  																																						|
% 47.29/16.55  																																							| Equations (635) can reduce 420 to:
% 47.29/16.55  																																							| (311) $false
% 47.29/16.55  																																							|
% 47.29/16.55  																																							|-The branch is then unsatisfiable
% 47.29/16.55  																																						|-Branch two:
% 47.29/16.55  																																						| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.55  																																						| (638) all_0_81_81 = e4
% 47.29/16.55  																																						|
% 47.29/16.55  																																							| Equations (638) can reduce 634 to:
% 47.29/16.55  																																							| (311) $false
% 47.29/16.55  																																							|
% 47.29/16.55  																																							|-The branch is then unsatisfiable
% 47.29/16.55  																																				|-Branch two:
% 47.29/16.55  																																				| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.55  																																				| (638) all_0_81_81 = e4
% 47.29/16.55  																																				|
% 47.29/16.55  																																					| Equations (638) can reduce 634 to:
% 47.29/16.55  																																					| (311) $false
% 47.29/16.55  																																					|
% 47.29/16.55  																																					|-The branch is then unsatisfiable
% 47.29/16.55  																												|-Branch two:
% 47.29/16.55  																												| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.55  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.55  																												|
% 47.29/16.55  																													+-Applying beta-rule and splitting (249), into two cases.
% 47.29/16.55  																													|-Branch one:
% 47.29/16.55  																													| (910) all_0_82_82 = e0
% 47.29/16.55  																													|
% 47.29/16.55  																														| Equations (910) can reduce 255 to:
% 47.29/16.55  																														| (2710)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																														|
% 47.29/16.55  																														| Simplifying 2710 yields:
% 47.29/16.55  																														| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																														|
% 47.29/16.55  																														+-Applying beta-rule and splitting (291), into two cases.
% 47.29/16.55  																														|-Branch one:
% 47.29/16.55  																														| (758) all_0_90_90 = e0
% 47.29/16.55  																														|
% 47.29/16.55  																															| Equations (758) can reduce 762 to:
% 47.29/16.55  																															| (311) $false
% 47.29/16.55  																															|
% 47.29/16.55  																															|-The branch is then unsatisfiable
% 47.29/16.55  																														|-Branch two:
% 47.29/16.55  																														| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.55  																														|
% 47.29/16.55  																															+-Applying beta-rule and splitting (1455), into two cases.
% 47.29/16.55  																															|-Branch one:
% 47.29/16.55  																															| (1456) all_0_91_91 = e0
% 47.29/16.55  																															|
% 47.29/16.55  																																| Equations (1456) can reduce 103 to:
% 47.29/16.55  																																| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.55  																																|
% 47.29/16.55  																																| Equations (1456) can reduce 296 to:
% 47.29/16.55  																																| (510)  ~ (e2 = e0)
% 47.29/16.55  																																|
% 47.29/16.55  																																| Simplifying 510 yields:
% 47.29/16.55  																																| (76)  ~ (e2 = e0)
% 47.29/16.55  																																|
% 47.29/16.55  																																| Equations (1456) can reduce 959 to:
% 47.29/16.55  																																| (859)  ~ (e1 = e0)
% 47.29/16.55  																																|
% 47.29/16.55  																																| Simplifying 859 yields:
% 47.29/16.55  																																| (264)  ~ (e1 = e0)
% 47.29/16.55  																																|
% 47.29/16.55  																																+-Applying beta-rule and splitting (27), into two cases.
% 47.29/16.55  																																|-Branch one:
% 47.29/16.55  																																| (746) all_0_90_90 = e2
% 47.29/16.55  																																|
% 47.29/16.55  																																	| Equations (746) can reduce 294 to:
% 47.29/16.55  																																	| (311) $false
% 47.29/16.55  																																	|
% 47.29/16.55  																																	|-The branch is then unsatisfiable
% 47.29/16.55  																																|-Branch two:
% 47.29/16.55  																																| (294)  ~ (all_0_90_90 = e2)
% 47.29/16.55  																																| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.29/16.55  																																|
% 47.29/16.55  																																	+-Applying beta-rule and splitting (282), into two cases.
% 47.29/16.55  																																	|-Branch one:
% 47.29/16.55  																																	| (754) all_0_90_90 = e3
% 47.29/16.55  																																	|
% 47.29/16.55  																																		| Equations (754) can reduce 294 to:
% 47.29/16.55  																																		| (169)  ~ (e3 = e2)
% 47.29/16.55  																																		|
% 47.29/16.55  																																		| Equations (754) can reduce 678 to:
% 47.29/16.55  																																		| (20)  ~ (e3 = e1)
% 47.29/16.55  																																		|
% 47.29/16.55  																																		| Equations (754) can reduce 762 to:
% 47.29/16.55  																																		| (50)  ~ (e3 = e0)
% 47.29/16.55  																																		|
% 47.29/16.55  																																		+-Applying beta-rule and splitting (285), into two cases.
% 47.29/16.55  																																		|-Branch one:
% 47.29/16.55  																																		| (1708) all_0_79_79 = e3
% 47.29/16.55  																																		|
% 47.29/16.55  																																			| Combining equations (457,1708) yields a new equation:
% 47.29/16.55  																																			| (772) e3 = e1
% 47.29/16.55  																																			|
% 47.29/16.55  																																			| Equations (772) can reduce 20 to:
% 47.29/16.55  																																			| (311) $false
% 47.29/16.55  																																			|
% 47.29/16.55  																																			|-The branch is then unsatisfiable
% 47.29/16.55  																																		|-Branch two:
% 47.29/16.55  																																		| (1711)  ~ (all_0_79_79 = e3)
% 47.29/16.55  																																		| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.55  																																		|
% 47.29/16.56  																																			+-Applying beta-rule and splitting (1712), into two cases.
% 47.29/16.56  																																			|-Branch one:
% 47.29/16.56  																																			| (795) all_0_83_83 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				| Combining equations (453,795) yields a new equation:
% 47.29/16.56  																																				| (548) e3 = e2
% 47.29/16.56  																																				|
% 47.29/16.56  																																				| Equations (548) can reduce 169 to:
% 47.29/16.56  																																				| (311) $false
% 47.29/16.56  																																				|
% 47.29/16.56  																																				|-The branch is then unsatisfiable
% 47.29/16.56  																																			|-Branch two:
% 47.29/16.56  																																			| (779)  ~ (all_0_83_83 = e3)
% 47.29/16.56  																																			| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				+-Applying beta-rule and splitting (1842), into two cases.
% 47.29/16.56  																																				|-Branch one:
% 47.29/16.56  																																				| (588) all_0_91_91 = e3
% 47.29/16.56  																																				|
% 47.29/16.56  																																					| Combining equations (588,1456) yields a new equation:
% 47.29/16.56  																																					| (599) e3 = e0
% 47.29/16.56  																																					|
% 47.29/16.56  																																					| Simplifying 599 yields:
% 47.29/16.56  																																					| (600) e3 = e0
% 47.29/16.56  																																					|
% 47.29/16.56  																																					| Equations (600) can reduce 50 to:
% 47.29/16.56  																																					| (311) $false
% 47.29/16.56  																																					|
% 47.29/16.56  																																					|-The branch is then unsatisfiable
% 47.29/16.56  																																				|-Branch two:
% 47.29/16.56  																																				| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.56  																																				| (778) all_0_96_96 = e3
% 47.29/16.56  																																				|
% 47.29/16.56  																																					| From (778) and (4960) follows:
% 47.29/16.56  																																					| (5343) op(e2, e3) = e0
% 47.29/16.56  																																					|
% 47.29/16.56  																																					+-Applying beta-rule and splitting (920), into two cases.
% 47.29/16.56  																																					|-Branch one:
% 47.29/16.56  																																					| (861) all_0_87_87 = e0
% 47.29/16.56  																																					|
% 47.29/16.56  																																						| Combining equations (374,861) yields a new equation:
% 47.29/16.56  																																						| (923) e2 = e0
% 47.29/16.56  																																						|
% 47.29/16.56  																																						| Simplifying 923 yields:
% 47.29/16.56  																																						| (379) e2 = e0
% 47.29/16.56  																																						|
% 47.29/16.56  																																						| Equations (379) can reduce 76 to:
% 47.29/16.56  																																						| (311) $false
% 47.29/16.56  																																						|
% 47.29/16.56  																																						|-The branch is then unsatisfiable
% 47.29/16.56  																																					|-Branch two:
% 47.29/16.56  																																					| (889)  ~ (all_0_87_87 = e0)
% 47.29/16.56  																																					| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.56  																																					|
% 47.29/16.56  																																						+-Applying beta-rule and splitting (931), into two cases.
% 47.29/16.56  																																						|-Branch one:
% 47.29/16.56  																																						| (942) all_0_92_92 = e0
% 47.29/16.56  																																						|
% 47.29/16.56  																																							| Combining equations (836,942) yields a new equation:
% 47.29/16.56  																																							| (1107) e1 = e0
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Simplifying 1107 yields:
% 47.29/16.56  																																							| (865) e1 = e0
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Equations (865) can reduce 264 to:
% 47.29/16.56  																																							| (311) $false
% 47.29/16.56  																																							|
% 47.29/16.56  																																							|-The branch is then unsatisfiable
% 47.29/16.56  																																						|-Branch two:
% 47.29/16.56  																																						| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.56  																																						| (560) all_0_97_97 = e0
% 47.29/16.56  																																						|
% 47.29/16.56  																																							| Equations (560) can reduce 486 to:
% 47.29/16.56  																																							| (859)  ~ (e1 = e0)
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Simplifying 859 yields:
% 47.29/16.56  																																							| (264)  ~ (e1 = e0)
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 47.29/16.56  																																							| (865) e1 = e0
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Equations (865) can reduce 264 to:
% 47.29/16.56  																																							| (311) $false
% 47.29/16.56  																																							|
% 47.29/16.56  																																							|-The branch is then unsatisfiable
% 47.29/16.56  																																	|-Branch two:
% 47.29/16.56  																																	| (745)  ~ (all_0_90_90 = e3)
% 47.29/16.56  																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.29/16.56  																																	|
% 47.29/16.56  																																		+-Applying beta-rule and splitting (285), into two cases.
% 47.29/16.56  																																		|-Branch one:
% 47.29/16.56  																																		| (1708) all_0_79_79 = e3
% 47.29/16.56  																																		|
% 47.29/16.56  																																			| Combining equations (457,1708) yields a new equation:
% 47.29/16.56  																																			| (772) e3 = e1
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Equations (772) can reduce 20 to:
% 47.29/16.56  																																			| (311) $false
% 47.29/16.56  																																			|
% 47.29/16.56  																																			|-The branch is then unsatisfiable
% 47.29/16.56  																																		|-Branch two:
% 47.29/16.56  																																		| (1711)  ~ (all_0_79_79 = e3)
% 47.29/16.56  																																		| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.56  																																		|
% 47.29/16.56  																																			| Equations (457) can reduce 1711 to:
% 47.29/16.56  																																			| (683)  ~ (e3 = e1)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Simplifying 683 yields:
% 47.29/16.56  																																			| (20)  ~ (e3 = e1)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			+-Applying beta-rule and splitting (849), into two cases.
% 47.29/16.56  																																			|-Branch one:
% 47.29/16.56  																																			| (588) all_0_91_91 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				| Combining equations (1456,588) yields a new equation:
% 47.29/16.56  																																				| (600) e3 = e0
% 47.29/16.56  																																				|
% 47.29/16.56  																																				| Equations (600) can reduce 50 to:
% 47.29/16.56  																																				| (311) $false
% 47.29/16.56  																																				|
% 47.29/16.56  																																				|-The branch is then unsatisfiable
% 47.29/16.56  																																			|-Branch two:
% 47.29/16.56  																																			| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.56  																																			| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				+-Applying beta-rule and splitting (881), into two cases.
% 47.29/16.56  																																				|-Branch one:
% 47.29/16.56  																																				| (882) all_0_92_92 = e3
% 47.29/16.56  																																				|
% 47.29/16.56  																																					| Combining equations (882,836) yields a new equation:
% 47.29/16.56  																																					| (825) e3 = e1
% 47.29/16.56  																																					|
% 47.29/16.56  																																					| Simplifying 825 yields:
% 47.29/16.56  																																					| (772) e3 = e1
% 47.29/16.56  																																					|
% 47.29/16.56  																																					| Equations (772) can reduce 20 to:
% 47.29/16.56  																																					| (311) $false
% 47.29/16.56  																																					|
% 47.29/16.56  																																					|-The branch is then unsatisfiable
% 47.29/16.56  																																				|-Branch two:
% 47.29/16.56  																																				| (426)  ~ (all_0_92_92 = e3)
% 47.29/16.56  																																				| (570) all_0_93_93 = e3
% 47.29/16.56  																																				|
% 47.29/16.56  																																					| Combining equations (522,570) yields a new equation:
% 47.29/16.56  																																					| (548) e3 = e2
% 47.29/16.56  																																					|
% 47.29/16.56  																																					| Equations (548) can reduce 169 to:
% 47.29/16.56  																																					| (311) $false
% 47.29/16.56  																																					|
% 47.29/16.56  																																					|-The branch is then unsatisfiable
% 47.29/16.56  																															|-Branch two:
% 47.29/16.56  																															| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.56  																															| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.56  																															|
% 47.29/16.56  																																+-Applying beta-rule and splitting (27), into two cases.
% 47.29/16.56  																																|-Branch one:
% 47.29/16.56  																																| (746) all_0_90_90 = e2
% 47.29/16.56  																																|
% 47.29/16.56  																																	| Equations (746) can reduce 294 to:
% 47.29/16.56  																																	| (311) $false
% 47.29/16.56  																																	|
% 47.29/16.56  																																	|-The branch is then unsatisfiable
% 47.29/16.56  																																|-Branch two:
% 47.29/16.56  																																| (294)  ~ (all_0_90_90 = e2)
% 47.29/16.56  																																| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.29/16.56  																																|
% 47.29/16.56  																																	+-Applying beta-rule and splitting (749), into two cases.
% 47.29/16.56  																																	|-Branch one:
% 47.29/16.56  																																	| (750) all_0_90_90 = e1
% 47.29/16.56  																																	|
% 47.29/16.56  																																		| Equations (750) can reduce 678 to:
% 47.29/16.56  																																		| (311) $false
% 47.29/16.56  																																		|
% 47.29/16.56  																																		|-The branch is then unsatisfiable
% 47.29/16.56  																																	|-Branch two:
% 47.29/16.56  																																	| (678)  ~ (all_0_90_90 = e1)
% 47.29/16.56  																																	| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.29/16.56  																																	|
% 47.29/16.56  																																		+-Applying beta-rule and splitting (753), into two cases.
% 47.29/16.56  																																		|-Branch one:
% 47.29/16.56  																																		| (754) all_0_90_90 = e3
% 47.29/16.56  																																		|
% 47.29/16.56  																																			| Equations (754) can reduce 103 to:
% 47.29/16.56  																																			| (1298)  ~ (all_0_91_91 = e3)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Simplifying 1298 yields:
% 47.29/16.56  																																			| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Equations (754) can reduce 294 to:
% 47.29/16.56  																																			| (169)  ~ (e3 = e2)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Equations (754) can reduce 678 to:
% 47.29/16.56  																																			| (20)  ~ (e3 = e1)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			| Equations (754) can reduce 762 to:
% 47.29/16.56  																																			| (50)  ~ (e3 = e0)
% 47.29/16.56  																																			|
% 47.29/16.56  																																			+-Applying beta-rule and splitting (285), into two cases.
% 47.29/16.56  																																			|-Branch one:
% 47.29/16.56  																																			| (1708) all_0_79_79 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				| Combining equations (457,1708) yields a new equation:
% 47.29/16.56  																																				| (772) e3 = e1
% 47.29/16.56  																																				|
% 47.29/16.56  																																				| Equations (772) can reduce 20 to:
% 47.29/16.56  																																				| (311) $false
% 47.29/16.56  																																				|
% 47.29/16.56  																																				|-The branch is then unsatisfiable
% 47.29/16.56  																																			|-Branch two:
% 47.29/16.56  																																			| (1711)  ~ (all_0_79_79 = e3)
% 47.29/16.56  																																			| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.56  																																			|
% 47.29/16.56  																																				+-Applying beta-rule and splitting (1400), into two cases.
% 47.29/16.56  																																				|-Branch one:
% 47.29/16.56  																																				| (1456) all_0_91_91 = e0
% 47.29/16.56  																																				|
% 47.29/16.56  																																					| Equations (1456) can reduce 1487 to:
% 47.29/16.56  																																					| (311) $false
% 47.29/16.56  																																					|
% 47.29/16.56  																																					|-The branch is then unsatisfiable
% 47.29/16.56  																																				|-Branch two:
% 47.29/16.56  																																				| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.56  																																				| (1837) all_0_96_96 = e0
% 47.29/16.56  																																				|
% 47.29/16.56  																																					+-Applying beta-rule and splitting (1712), into two cases.
% 47.29/16.56  																																					|-Branch one:
% 47.29/16.56  																																					| (795) all_0_83_83 = e3
% 47.29/16.56  																																					|
% 47.29/16.56  																																						| Combining equations (453,795) yields a new equation:
% 47.29/16.56  																																						| (548) e3 = e2
% 47.29/16.56  																																						|
% 47.29/16.56  																																						| Equations (548) can reduce 169 to:
% 47.29/16.56  																																						| (311) $false
% 47.29/16.56  																																						|
% 47.29/16.56  																																						|-The branch is then unsatisfiable
% 47.29/16.56  																																					|-Branch two:
% 47.29/16.56  																																					| (779)  ~ (all_0_83_83 = e3)
% 47.29/16.56  																																					| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.29/16.56  																																					|
% 47.29/16.56  																																						+-Applying beta-rule and splitting (1842), into two cases.
% 47.29/16.56  																																						|-Branch one:
% 47.29/16.56  																																						| (588) all_0_91_91 = e3
% 47.29/16.56  																																						|
% 47.29/16.56  																																							| Equations (588) can reduce 571 to:
% 47.29/16.56  																																							| (311) $false
% 47.29/16.56  																																							|
% 47.29/16.56  																																							|-The branch is then unsatisfiable
% 47.29/16.56  																																						|-Branch two:
% 47.29/16.56  																																						| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.56  																																						| (778) all_0_96_96 = e3
% 47.29/16.56  																																						|
% 47.29/16.56  																																							| Combining equations (1837,778) yields a new equation:
% 47.29/16.56  																																							| (600) e3 = e0
% 47.29/16.56  																																							|
% 47.29/16.56  																																							| Equations (600) can reduce 50 to:
% 47.29/16.56  																																							| (311) $false
% 47.29/16.56  																																							|
% 47.29/16.56  																																							|-The branch is then unsatisfiable
% 47.29/16.56  																																		|-Branch two:
% 47.29/16.56  																																		| (745)  ~ (all_0_90_90 = e3)
% 47.29/16.56  																																		| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.29/16.56  																																		|
% 47.29/16.56  																																			+-Applying beta-rule and splitting (757), into two cases.
% 47.29/16.56  																																			|-Branch one:
% 47.29/16.56  																																			| (758) all_0_90_90 = e0
% 47.29/16.56  																																			|
% 47.29/16.56  																																				| Equations (758) can reduce 762 to:
% 47.29/16.56  																																				| (311) $false
% 47.29/16.56  																																				|
% 47.29/16.56  																																				|-The branch is then unsatisfiable
% 47.29/16.56  																																			|-Branch two:
% 47.29/16.56  																																			| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.56  																																			| (583) all_0_90_90 = e4
% 47.29/16.56  																																			|
% 47.29/16.56  																																				| Equations (583) can reduce 467 to:
% 47.29/16.56  																																				| (311) $false
% 47.29/16.56  																																				|
% 47.29/16.56  																																				|-The branch is then unsatisfiable
% 47.29/16.56  																													|-Branch two:
% 47.29/16.56  																													| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.56  																													| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.56  																													|
% 47.29/16.56  																														+-Applying beta-rule and splitting (920), into two cases.
% 47.29/16.56  																														|-Branch one:
% 47.29/16.56  																														| (861) all_0_87_87 = e0
% 47.29/16.56  																														|
% 47.29/16.56  																															| Combining equations (374,861) yields a new equation:
% 47.29/16.56  																															| (923) e2 = e0
% 47.29/16.56  																															|
% 47.29/16.56  																															| Simplifying 923 yields:
% 47.29/16.56  																															| (379) e2 = e0
% 47.29/16.56  																															|
% 47.29/16.56  																															| Equations (379) can reduce 76 to:
% 47.29/16.56  																															| (311) $false
% 47.29/16.56  																															|
% 47.29/16.56  																															|-The branch is then unsatisfiable
% 47.29/16.56  																														|-Branch two:
% 47.29/16.56  																														| (889)  ~ (all_0_87_87 = e0)
% 47.29/16.56  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.29/16.56  																														|
% 47.29/16.56  																															+-Applying beta-rule and splitting (931), into two cases.
% 47.29/16.56  																															|-Branch one:
% 47.29/16.56  																															| (942) all_0_92_92 = e0
% 47.29/16.56  																															|
% 47.29/16.56  																																| Combining equations (942,836) yields a new equation:
% 47.29/16.56  																																| (865) e1 = e0
% 47.29/16.56  																																|
% 47.29/16.56  																																| Equations (865) can reduce 264 to:
% 47.29/16.56  																																| (311) $false
% 47.29/16.56  																																|
% 47.29/16.56  																																|-The branch is then unsatisfiable
% 47.29/16.56  																															|-Branch two:
% 47.29/16.56  																															| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.56  																															| (560) all_0_97_97 = e0
% 47.29/16.56  																															|
% 47.29/16.56  																																| Equations (560) can reduce 195 to:
% 47.29/16.56  																																| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.56  																																|
% 47.29/16.56  																																| Equations (560) can reduce 527 to:
% 47.29/16.56  																																| (510)  ~ (e2 = e0)
% 47.29/16.56  																																|
% 47.29/16.56  																																| Simplifying 510 yields:
% 47.29/16.56  																																| (76)  ~ (e2 = e0)
% 47.29/16.56  																																|
% 47.29/16.56  																																+-Applying beta-rule and splitting (1309), into two cases.
% 47.29/16.56  																																|-Branch one:
% 47.29/16.56  																																| (798) all_0_83_83 = e0
% 47.29/16.56  																																|
% 47.29/16.56  																																	| Combining equations (453,798) yields a new equation:
% 47.29/16.56  																																	| (923) e2 = e0
% 47.29/16.56  																																	|
% 47.29/16.56  																																	| Simplifying 923 yields:
% 47.29/16.56  																																	| (379) e2 = e0
% 47.29/16.56  																																	|
% 47.29/16.56  																																	| Equations (379) can reduce 76 to:
% 47.29/16.56  																																	| (311) $false
% 47.29/16.56  																																	|
% 47.29/16.56  																																	|-The branch is then unsatisfiable
% 47.29/16.56  																																|-Branch two:
% 47.29/16.56  																																| (1314)  ~ (all_0_83_83 = e0)
% 47.29/16.56  																																| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.56  																																|
% 47.29/16.56  																																	+-Applying beta-rule and splitting (1315), into two cases.
% 47.29/16.56  																																	|-Branch one:
% 47.29/16.56  																																	| (916) all_0_84_84 = e0
% 47.29/16.56  																																	|
% 47.29/16.56  																																		| Equations (916) can reduce 919 to:
% 47.29/16.56  																																		| (311) $false
% 47.29/16.56  																																		|
% 47.29/16.56  																																		|-The branch is then unsatisfiable
% 47.29/16.56  																																	|-Branch two:
% 47.29/16.56  																																	| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.56  																																	| (954) all_0_85_85 = e0
% 47.29/16.56  																																	|
% 47.29/16.56  																																		| Equations (954) can reduce 800 to:
% 47.29/16.56  																																		| (311) $false
% 47.29/16.56  																																		|
% 47.29/16.56  																																		|-The branch is then unsatisfiable
% 47.29/16.56  																										|-Branch two:
% 47.29/16.56  																										| (840)  ~ (all_0_92_92 = e1)
% 47.29/16.56  																										| (566) all_0_93_93 = e1
% 47.29/16.56  																										|
% 47.29/16.56  																											| Combining equations (522,566) yields a new equation:
% 47.29/16.56  																											| (408) e2 = e1
% 47.29/16.56  																											|
% 47.29/16.56  																											| Simplifying 408 yields:
% 47.29/16.56  																											| (385) e2 = e1
% 47.29/16.56  																											|
% 47.29/16.56  																											| Equations (385) can reduce 243 to:
% 47.29/16.56  																											| (311) $false
% 47.29/16.56  																											|
% 47.29/16.56  																											|-The branch is then unsatisfiable
% 47.29/16.56  																					|-Branch two:
% 47.29/16.56  																					| (461)  ~ (all_0_79_79 = e1)
% 47.29/16.56  																					| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.29/16.56  																					|
% 47.29/16.56  																						+-Applying beta-rule and splitting (1623), into two cases.
% 47.29/16.56  																						|-Branch one:
% 47.29/16.56  																						| (457) all_0_79_79 = e1
% 47.29/16.56  																						|
% 47.29/16.56  																							| Equations (457) can reduce 461 to:
% 47.29/16.56  																							| (311) $false
% 47.29/16.56  																							|
% 47.29/16.56  																							|-The branch is then unsatisfiable
% 47.29/16.56  																						|-Branch two:
% 47.29/16.56  																						| (461)  ~ (all_0_79_79 = e1)
% 47.29/16.56  																						| (1708) all_0_79_79 = e3
% 47.29/16.56  																						|
% 47.29/16.56  																							| Equations (1708) can reduce 63 to:
% 47.29/16.56  																							| (3267)  ~ (all_0_80_80 = e3)
% 47.29/16.56  																							|
% 47.29/16.56  																							| Simplifying 3267 yields:
% 47.29/16.56  																							| (2347)  ~ (all_0_80_80 = e3)
% 47.29/16.56  																							|
% 47.29/16.56  																							| Equations (1708) can reduce 15 to:
% 47.29/16.56  																							| (419)  ~ (all_0_81_81 = e3)
% 47.29/16.56  																							|
% 47.29/16.56  																							| Simplifying 419 yields:
% 47.29/16.56  																							| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.56  																							|
% 47.29/16.56  																							| Equations (1708) can reduce 1622 to:
% 47.29/16.56  																							| (169)  ~ (e3 = e2)
% 47.29/16.56  																							|
% 47.29/16.56  																							+-Applying beta-rule and splitting (123), into two cases.
% 47.29/16.56  																							|-Branch one:
% 47.29/16.56  																							| (473) all_0_81_81 = e2
% 47.29/16.56  																							|
% 47.29/16.56  																								| Equations (473) can reduce 396 to:
% 47.29/16.56  																								| (311) $false
% 47.29/16.56  																								|
% 47.29/16.56  																								|-The branch is then unsatisfiable
% 47.29/16.56  																							|-Branch two:
% 47.29/16.56  																							| (396)  ~ (all_0_81_81 = e2)
% 47.29/16.56  																							| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.29/16.56  																							|
% 47.29/16.56  																								+-Applying beta-rule and splitting (250), into two cases.
% 47.29/16.56  																								|-Branch one:
% 47.29/16.56  																								| (635) all_0_81_81 = e3
% 47.29/16.56  																								|
% 47.29/16.56  																									| Equations (635) can reduce 420 to:
% 47.29/16.56  																									| (311) $false
% 47.29/16.56  																									|
% 47.29/16.56  																									|-The branch is then unsatisfiable
% 47.29/16.56  																								|-Branch two:
% 47.29/16.56  																								| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.56  																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.29/16.56  																								|
% 47.29/16.56  																									+-Applying beta-rule and splitting (462), into two cases.
% 47.29/16.56  																									|-Branch one:
% 47.29/16.56  																									| (801) all_0_91_91 = e1
% 47.29/16.56  																									|
% 47.29/16.56  																										| Combining equations (801,9535) yields a new equation:
% 47.29/16.56  																										| (10723) all_0_64_64 = e1
% 47.29/16.56  																										|
% 47.29/16.56  																										| Equations (801) can reduce 265 to:
% 47.29/16.56  																										| (2131)  ~ (all_0_92_92 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Simplifying 2131 yields:
% 47.29/16.56  																										| (840)  ~ (all_0_92_92 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Equations (801) can reduce 64 to:
% 47.29/16.56  																										| (1671)  ~ (all_0_96_96 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Simplifying 1671 yields:
% 47.29/16.56  																										| (1479)  ~ (all_0_96_96 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Equations (801) can reduce 133 to:
% 47.29/16.56  																										| (681)  ~ (e4 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Simplifying 681 yields:
% 47.29/16.56  																										| (256)  ~ (e4 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Equations (801) can reduce 296 to:
% 47.29/16.56  																										| (487)  ~ (e2 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| Simplifying 487 yields:
% 47.29/16.56  																										| (243)  ~ (e2 = e1)
% 47.29/16.56  																										|
% 47.29/16.56  																										| From (801) and (51) follows:
% 47.29/16.57  																										| (10725) op(e1, e1) = all_0_57_57
% 47.29/16.57  																										|
% 47.29/16.57  																										+-Applying beta-rule and splitting (84), into two cases.
% 47.29/16.57  																										|-Branch one:
% 47.29/16.57  																										| (1704) all_0_96_96 = e2
% 47.29/16.57  																										|
% 47.29/16.57  																											| Equations (1704) can reduce 1638 to:
% 47.29/16.57  																											| (311) $false
% 47.29/16.57  																											|
% 47.29/16.57  																											|-The branch is then unsatisfiable
% 47.29/16.57  																										|-Branch two:
% 47.29/16.57  																										| (1638)  ~ (all_0_96_96 = e2)
% 47.29/16.57  																										| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.29/16.57  																										|
% 47.29/16.57  																											+-Applying beta-rule and splitting (151), into two cases.
% 47.29/16.57  																											|-Branch one:
% 47.29/16.57  																											| (824) all_0_80_80 = e1
% 47.29/16.57  																											|
% 47.29/16.57  																												| Equations (824) can reduce 273 to:
% 47.29/16.57  																												| (36149)  ~ (all_0_84_84 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Simplifying 36149 yields:
% 47.29/16.57  																												| (259)  ~ (all_0_84_84 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Equations (824) can reduce 2347 to:
% 47.29/16.57  																												| (683)  ~ (e3 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Simplifying 683 yields:
% 47.29/16.57  																												| (20)  ~ (e3 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Equations (824) can reduce 394 to:
% 47.29/16.57  																												| (487)  ~ (e2 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Simplifying 487 yields:
% 47.29/16.57  																												| (243)  ~ (e2 = e1)
% 47.29/16.57  																												|
% 47.29/16.57  																												| Equations (824) can reduce 166 to:
% 47.29/16.57  																												| (264)  ~ (e1 = e0)
% 47.29/16.57  																												|
% 47.29/16.57  																												| From (824) and (233) follows:
% 47.29/16.57  																												| (10739) op(e1, e1) = all_0_60_60
% 47.29/16.57  																												|
% 47.29/16.57  																												+-Applying beta-rule and splitting (1707), into two cases.
% 47.29/16.57  																												|-Branch one:
% 47.29/16.57  																												| (960) all_0_96_96 = e1
% 47.29/16.57  																												|
% 47.29/16.57  																													| Equations (960) can reduce 1479 to:
% 47.29/16.57  																													| (311) $false
% 47.29/16.57  																													|
% 47.29/16.57  																													|-The branch is then unsatisfiable
% 47.29/16.57  																												|-Branch two:
% 47.29/16.57  																												| (1479)  ~ (all_0_96_96 = e1)
% 47.29/16.57  																												| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.29/16.57  																												|
% 47.29/16.57  																													+-Applying beta-rule and splitting (4488), into two cases.
% 47.29/16.57  																													|-Branch one:
% 47.29/16.57  																													| (804) all_0_85_85 = e3
% 47.29/16.57  																													|
% 47.29/16.57  																														| Equations (804) can reduce 118 to:
% 47.29/16.57  																														| (420)  ~ (all_0_81_81 = e3)
% 47.29/16.57  																														|
% 47.29/16.57  																														| Equations (804) can reduce 154 to:
% 47.29/16.57  																														| (422)  ~ (all_0_84_84 = e3)
% 47.29/16.57  																														|
% 47.29/16.57  																														| From (804) and (197) follows:
% 47.29/16.57  																														| (811) op(e3, e3) = all_0_72_72
% 47.29/16.57  																														|
% 47.29/16.57  																														| From (804) and (26) follows:
% 47.29/16.57  																														| (1891) op(e0, e3) = all_0_71_71
% 47.29/16.57  																														|
% 47.29/16.57  																														+-Applying beta-rule and splitting (1400), into two cases.
% 47.29/16.57  																														|-Branch one:
% 47.29/16.57  																														| (1456) all_0_91_91 = e0
% 47.29/16.57  																														|
% 47.29/16.57  																															| Combining equations (1456,801) yields a new equation:
% 47.29/16.57  																															| (865) e1 = e0
% 47.29/16.57  																															|
% 47.29/16.57  																															| Equations (865) can reduce 264 to:
% 47.29/16.57  																															| (311) $false
% 47.29/16.57  																															|
% 47.29/16.57  																															|-The branch is then unsatisfiable
% 47.29/16.57  																														|-Branch two:
% 47.29/16.57  																														| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.57  																														| (1837) all_0_96_96 = e0
% 47.29/16.57  																														|
% 47.29/16.57  																															| Combining equations (1837,31273) yields a new equation:
% 47.29/16.57  																															| (38862) all_0_75_75 = e0
% 47.29/16.57  																															|
% 47.29/16.57  																															| Equations (1837) can reduce 279 to:
% 47.29/16.57  																															| (893)  ~ (all_0_95_95 = e0)
% 47.29/16.57  																															|
% 47.29/16.57  																															| Equations (1837) can reduce 1638 to:
% 47.29/16.57  																															| (510)  ~ (e2 = e0)
% 47.29/16.57  																															|
% 47.29/16.57  																															| Simplifying 510 yields:
% 47.29/16.57  																															| (76)  ~ (e2 = e0)
% 47.29/16.57  																															|
% 47.29/16.57  																															| Equations (1837) can reduce 1479 to:
% 47.29/16.57  																															| (859)  ~ (e1 = e0)
% 47.29/16.57  																															|
% 47.29/16.57  																															| Simplifying 859 yields:
% 47.29/16.57  																															| (264)  ~ (e1 = e0)
% 47.29/16.57  																															|
% 47.29/16.57  																															+-Applying beta-rule and splitting (641), into two cases.
% 47.29/16.57  																															|-Branch one:
% 47.29/16.57  																															| (433) all_0_80_80 = e4
% 47.29/16.57  																															|
% 47.29/16.57  																																| Combining equations (824,433) yields a new equation:
% 47.29/16.57  																																| (814) e4 = e1
% 47.29/16.57  																																|
% 47.29/16.57  																																| Equations (814) can reduce 256 to:
% 47.29/16.57  																																| (311) $false
% 47.29/16.57  																																|
% 47.29/16.57  																																|-The branch is then unsatisfiable
% 47.29/16.57  																															|-Branch two:
% 47.29/16.57  																															| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.57  																															| (638) all_0_81_81 = e4
% 47.29/16.57  																															|
% 47.29/16.57  																																| Equations (638) can reduce 420 to:
% 47.29/16.57  																																| (177)  ~ (e4 = e3)
% 47.29/16.57  																																|
% 47.29/16.57  																																| Equations (638) can reduce 396 to:
% 47.29/16.57  																																| (79)  ~ (e4 = e2)
% 47.29/16.57  																																|
% 47.29/16.57  																																| From (638) and (145) follows:
% 47.29/16.57  																																| (30704) op(e0, e4) = all_0_69_69
% 47.29/16.57  																																|
% 47.29/16.57  																																| Instantiating formula (262) with e3, e3, all_0_72_72, all_0_82_82 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = all_0_82_82, yields:
% 47.29/16.57  																																| (40456) all_0_72_72 = all_0_82_82
% 47.29/16.57  																																|
% 47.29/16.57  																																| Instantiating formula (262) with e1, e1, all_0_57_57, all_0_92_92 and discharging atoms op(e1, e1) = all_0_57_57, op(e1, e1) = all_0_92_92, yields:
% 47.29/16.57  																																| (29643) all_0_57_57 = all_0_92_92
% 47.29/16.57  																																|
% 47.29/16.57  																																| Instantiating formula (262) with e1, e1, all_0_60_60, all_0_57_57 and discharging atoms op(e1, e1) = all_0_57_57, op(e1, e1) = all_0_60_60, yields:
% 47.29/16.58  																																| (10795) all_0_57_57 = all_0_60_60
% 47.29/16.58  																																|
% 47.29/16.58  																																| Instantiating formula (262) with e0, e4, all_0_69_69, e2 and discharging atoms op(e0, e4) = all_0_69_69, op(e0, e4) = e2, yields:
% 47.29/16.58  																																| (18072) all_0_69_69 = e2
% 47.29/16.58  																																|
% 47.29/16.58  																																| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 47.29/16.58  																																| (14316) all_0_71_71 = all_0_95_95
% 47.29/16.58  																																|
% 47.29/16.58  																																| Combining equations (10795,29643) yields a new equation:
% 47.29/16.58  																																| (40461) all_0_60_60 = all_0_92_92
% 47.29/16.58  																																|
% 47.29/16.58  																																| Simplifying 40461 yields:
% 47.29/16.58  																																| (36169) all_0_60_60 = all_0_92_92
% 47.29/16.58  																																|
% 47.29/16.58  																																+-Applying beta-rule and splitting (89), into two cases.
% 47.29/16.58  																																|-Branch one:
% 47.29/16.58  																																| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.29/16.58  																																|
% 47.29/16.58  																																	+-Applying beta-rule and splitting (1373), into two cases.
% 47.29/16.58  																																	|-Branch one:
% 47.29/16.58  																																	| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.29/16.58  																																	|
% 47.29/16.58  																																		+-Applying beta-rule and splitting (1374), into two cases.
% 47.29/16.58  																																		|-Branch one:
% 47.29/16.58  																																		| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.29/16.58  																																		|
% 47.29/16.58  																																			| Applying alpha-rule on (1375) yields:
% 47.29/16.58  																																			| (1376) all_0_69_69 = e4
% 47.29/16.58  																																			| (1377)  ~ (all_0_70_70 = e0)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Combining equations (1376,18072) yields a new equation:
% 47.29/16.58  																																			| (309) e4 = e2
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Simplifying 309 yields:
% 47.29/16.58  																																			| (310) e4 = e2
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (310) can reduce 79 to:
% 47.29/16.58  																																			| (311) $false
% 47.29/16.58  																																			|
% 47.29/16.58  																																			|-The branch is then unsatisfiable
% 47.29/16.58  																																		|-Branch two:
% 47.29/16.58  																																		| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.29/16.58  																																		|
% 47.29/16.58  																																			| Applying alpha-rule on (1379) yields:
% 47.29/16.58  																																			| (1380) all_0_71_71 = e3
% 47.29/16.58  																																			| (1381)  ~ (all_0_72_72 = e0)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Combining equations (14316,1380) yields a new equation:
% 47.29/16.58  																																			| (15854) all_0_95_95 = e3
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Simplifying 15854 yields:
% 47.29/16.58  																																			| (744) all_0_95_95 = e3
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (40456) can reduce 1381 to:
% 47.29/16.58  																																			| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 200 to:
% 47.29/16.58  																																			| (793)  ~ (all_0_82_82 = e3)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 229 to:
% 47.29/16.58  																																			| (745)  ~ (all_0_90_90 = e3)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 105 to:
% 47.29/16.58  																																			| (427)  ~ (all_0_97_97 = e3)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Simplifying 427 yields:
% 47.29/16.58  																																			| (428)  ~ (all_0_97_97 = e3)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 355 to:
% 47.29/16.58  																																			| (169)  ~ (e3 = e2)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 680 to:
% 47.29/16.58  																																			| (20)  ~ (e3 = e1)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			| Equations (744) can reduce 893 to:
% 47.29/16.58  																																			| (50)  ~ (e3 = e0)
% 47.29/16.58  																																			|
% 47.29/16.58  																																			+-Applying beta-rule and splitting (4), into two cases.
% 47.29/16.58  																																			|-Branch one:
% 47.29/16.58  																																			| (463) all_0_78_78 = e4
% 47.29/16.58  																																			|
% 47.29/16.58  																																				| Combining equations (400,463) yields a new equation:
% 47.29/16.58  																																				| (310) e4 = e2
% 47.29/16.58  																																				|
% 47.29/16.58  																																				| Equations (310) can reduce 79 to:
% 47.29/16.58  																																				| (311) $false
% 47.29/16.58  																																				|
% 47.29/16.58  																																				|-The branch is then unsatisfiable
% 47.29/16.58  																																			|-Branch two:
% 47.29/16.58  																																			| (640)  ~ (all_0_78_78 = e4)
% 47.29/16.58  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.29/16.58  																																			|
% 47.29/16.58  																																				| Equations (400) can reduce 640 to:
% 47.29/16.58  																																				| (528)  ~ (e4 = e2)
% 47.29/16.58  																																				|
% 47.29/16.58  																																				| Simplifying 528 yields:
% 47.29/16.58  																																				| (79)  ~ (e4 = e2)
% 47.29/16.58  																																				|
% 47.29/16.58  																																				+-Applying beta-rule and splitting (282), into two cases.
% 47.29/16.58  																																				|-Branch one:
% 47.29/16.58  																																				| (754) all_0_90_90 = e3
% 47.29/16.58  																																				|
% 47.29/16.58  																																					| Equations (754) can reduce 745 to:
% 47.29/16.58  																																					| (311) $false
% 47.29/16.58  																																					|
% 47.29/16.58  																																					|-The branch is then unsatisfiable
% 47.29/16.58  																																				|-Branch two:
% 47.29/16.58  																																				| (745)  ~ (all_0_90_90 = e3)
% 47.29/16.58  																																				| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.29/16.58  																																				|
% 47.29/16.58  																																					+-Applying beta-rule and splitting (140), into two cases.
% 47.29/16.58  																																					|-Branch one:
% 47.29/16.58  																																					| (313) all_0_94_94 = e4
% 47.29/16.58  																																					|
% 47.29/16.58  																																						| Combining equations (1757,313) yields a new equation:
% 47.29/16.58  																																						| (310) e4 = e2
% 47.29/16.58  																																						|
% 47.29/16.58  																																						| Equations (310) can reduce 79 to:
% 47.29/16.58  																																						| (311) $false
% 47.29/16.58  																																						|
% 47.29/16.58  																																						|-The branch is then unsatisfiable
% 47.29/16.58  																																					|-Branch two:
% 47.29/16.59  																																					| (34849)  ~ (all_0_94_94 = e4)
% 47.29/16.59  																																					| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.29/16.59  																																					|
% 47.29/16.59  																																						+-Applying beta-rule and splitting (249), into two cases.
% 47.29/16.59  																																						|-Branch one:
% 47.29/16.59  																																						| (910) all_0_82_82 = e0
% 47.29/16.59  																																						|
% 47.29/16.59  																																							| Equations (910) can reduce 914 to:
% 47.29/16.59  																																							| (311) $false
% 47.29/16.59  																																							|
% 47.29/16.59  																																							|-The branch is then unsatisfiable
% 47.29/16.59  																																						|-Branch two:
% 47.29/16.59  																																						| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.59  																																						| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.59  																																						|
% 47.29/16.59  																																							+-Applying beta-rule and splitting (1309), into two cases.
% 47.29/16.59  																																							|-Branch one:
% 47.29/16.59  																																							| (798) all_0_83_83 = e0
% 47.29/16.59  																																							|
% 47.29/16.59  																																								| Combining equations (453,798) yields a new equation:
% 47.29/16.59  																																								| (923) e2 = e0
% 47.29/16.59  																																								|
% 47.29/16.59  																																								| Simplifying 923 yields:
% 47.29/16.59  																																								| (379) e2 = e0
% 47.29/16.59  																																								|
% 47.29/16.59  																																								| Equations (379) can reduce 76 to:
% 47.29/16.59  																																								| (311) $false
% 47.29/16.59  																																								|
% 47.29/16.59  																																								|-The branch is then unsatisfiable
% 47.29/16.59  																																							|-Branch two:
% 47.29/16.59  																																							| (1314)  ~ (all_0_83_83 = e0)
% 47.29/16.59  																																							| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.29/16.59  																																							|
% 47.29/16.59  																																								+-Applying beta-rule and splitting (1315), into two cases.
% 47.29/16.59  																																								|-Branch one:
% 47.29/16.59  																																								| (916) all_0_84_84 = e0
% 47.29/16.59  																																								|
% 47.29/16.59  																																									| Equations (916) can reduce 7 to:
% 47.29/16.59  																																									| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Equations (916) can reduce 87 to:
% 47.29/16.59  																																									| (2299)  ~ (all_0_92_92 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Simplifying 2299 yields:
% 47.29/16.59  																																									| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Equations (916) can reduce 195 to:
% 47.29/16.59  																																									| (938)  ~ (all_0_97_97 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Simplifying 938 yields:
% 47.29/16.59  																																									| (609)  ~ (all_0_97_97 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Equations (916) can reduce 422 to:
% 47.29/16.59  																																									| (906)  ~ (e3 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Simplifying 906 yields:
% 47.29/16.59  																																									| (50)  ~ (e3 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Equations (916) can reduce 612 to:
% 47.29/16.59  																																									| (510)  ~ (e2 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Simplifying 510 yields:
% 47.29/16.59  																																									| (76)  ~ (e2 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Equations (916) can reduce 259 to:
% 47.29/16.59  																																									| (859)  ~ (e1 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| Simplifying 859 yields:
% 47.29/16.59  																																									| (264)  ~ (e1 = e0)
% 47.29/16.59  																																									|
% 47.29/16.59  																																									| From (916) and (122) follows:
% 47.29/16.59  																																									| (1321) op(e1, e0) = all_0_62_62
% 47.29/16.59  																																									|
% 47.29/16.59  																																									+-Applying beta-rule and splitting (109), into two cases.
% 47.29/16.59  																																									|-Branch one:
% 47.29/16.59  																																									| (469) all_0_82_82 = e4
% 47.29/16.59  																																									|
% 47.29/16.59  																																										| Equations (469) can reduce 793 to:
% 47.29/16.59  																																										| (177)  ~ (e4 = e3)
% 47.29/16.59  																																										|
% 47.29/16.59  																																										| Equations (469) can reduce 198 to:
% 47.29/16.59  																																										| (256)  ~ (e4 = e1)
% 47.29/16.59  																																										|
% 47.29/16.59  																																										| Equations (469) can reduce 914 to:
% 47.29/16.59  																																										| (23)  ~ (e4 = e0)
% 47.29/16.59  																																										|
% 47.29/16.59  																																										+-Applying beta-rule and splitting (207), into two cases.
% 47.29/16.59  																																										|-Branch one:
% 47.29/16.59  																																										| (416) all_0_80_80 = e3
% 47.29/16.59  																																										|
% 47.29/16.59  																																											| Combining equations (824,416) yields a new equation:
% 47.29/16.59  																																											| (772) e3 = e1
% 47.29/16.59  																																											|
% 47.29/16.59  																																											| Equations (772) can reduce 20 to:
% 47.29/16.59  																																											| (311) $false
% 47.29/16.59  																																											|
% 47.29/16.59  																																											|-The branch is then unsatisfiable
% 47.29/16.59  																																										|-Branch two:
% 47.29/16.59  																																										| (2347)  ~ (all_0_80_80 = e3)
% 47.29/16.59  																																										| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.29/16.59  																																										|
% 47.29/16.59  																																											| Equations (824) can reduce 2347 to:
% 47.29/16.59  																																											| (683)  ~ (e3 = e1)
% 47.29/16.59  																																											|
% 47.29/16.59  																																											| Simplifying 683 yields:
% 47.29/16.59  																																											| (20)  ~ (e3 = e1)
% 47.29/16.59  																																											|
% 47.29/16.59  																																											+-Applying beta-rule and splitting (291), into two cases.
% 47.29/16.59  																																											|-Branch one:
% 47.29/16.59  																																											| (758) all_0_90_90 = e0
% 47.29/16.59  																																											|
% 47.29/16.59  																																												| From (758) and (35) follows:
% 47.29/16.59  																																												| (40535) op(e1, e0) = all_0_49_49
% 47.29/16.59  																																												|
% 47.29/16.59  																																												+-Applying beta-rule and splitting (849), into two cases.
% 47.29/16.59  																																												|-Branch one:
% 47.29/16.59  																																												| (588) all_0_91_91 = e3
% 47.29/16.59  																																												|
% 47.29/16.59  																																													| Combining equations (588,801) yields a new equation:
% 47.29/16.59  																																													| (825) e3 = e1
% 47.29/16.59  																																													|
% 47.29/16.59  																																													| Simplifying 825 yields:
% 47.29/16.59  																																													| (772) e3 = e1
% 47.29/16.59  																																													|
% 47.29/16.59  																																													| Equations (772) can reduce 20 to:
% 47.29/16.59  																																													| (311) $false
% 47.29/16.59  																																													|
% 47.29/16.59  																																													|-The branch is then unsatisfiable
% 47.29/16.59  																																												|-Branch two:
% 47.29/16.59  																																												| (571)  ~ (all_0_91_91 = e3)
% 47.29/16.59  																																												| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.29/16.59  																																												|
% 47.29/16.59  																																													+-Applying beta-rule and splitting (34850), into two cases.
% 47.29/16.59  																																													|-Branch one:
% 47.29/16.59  																																													| (894) all_0_95_95 = e4
% 47.29/16.59  																																													|
% 47.29/16.59  																																														| Combining equations (744,894) yields a new equation:
% 47.29/16.59  																																														| (434) e4 = e3
% 47.29/16.59  																																														|
% 47.29/16.59  																																														| Equations (434) can reduce 177 to:
% 47.29/16.59  																																														| (311) $false
% 47.29/16.59  																																														|
% 47.29/16.59  																																														|-The branch is then unsatisfiable
% 47.29/16.59  																																													|-Branch two:
% 47.29/16.59  																																													| (315)  ~ (all_0_95_95 = e4)
% 47.29/16.59  																																													| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.29/16.59  																																													|
% 47.29/16.59  																																														+-Applying beta-rule and splitting (881), into two cases.
% 47.29/16.59  																																														|-Branch one:
% 47.29/16.59  																																														| (882) all_0_92_92 = e3
% 47.29/16.59  																																														|
% 47.29/16.59  																																															| Combining equations (882,36169) yields a new equation:
% 47.29/16.59  																																															| (1403) all_0_60_60 = e3
% 47.29/16.59  																																															|
% 47.29/16.59  																																															| Equations (882) can reduce 258 to:
% 47.29/16.59  																																															| (427)  ~ (all_0_97_97 = e3)
% 47.29/16.59  																																															|
% 47.29/16.59  																																															| Simplifying 427 yields:
% 47.29/16.59  																																															| (428)  ~ (all_0_97_97 = e3)
% 47.29/16.59  																																															|
% 47.29/16.59  																																															| Equations (882) can reduce 298 to:
% 47.29/16.59  																																															| (169)  ~ (e3 = e2)
% 47.29/16.59  																																															|
% 47.29/16.59  																																															+-Applying beta-rule and splitting (210), into two cases.
% 47.29/16.59  																																															|-Branch one:
% 47.29/16.59  																																															| (433) all_0_80_80 = e4
% 47.29/16.59  																																															|
% 47.29/16.59  																																																| Combining equations (433,824) yields a new equation:
% 47.29/16.59  																																																| (813) e4 = e1
% 47.29/16.59  																																																|
% 47.29/16.59  																																																| Simplifying 813 yields:
% 47.29/16.59  																																																| (814) e4 = e1
% 47.29/16.59  																																																|
% 47.29/16.59  																																																| Equations (814) can reduce 256 to:
% 47.29/16.59  																																																| (311) $false
% 47.29/16.59  																																																|
% 47.29/16.59  																																																|-The branch is then unsatisfiable
% 47.29/16.59  																																															|-Branch two:
% 47.29/16.59  																																															| (436)  ~ (all_0_80_80 = e4)
% 47.29/16.59  																																															| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.29/16.59  																																															|
% 47.29/16.59  																																																| Equations (824) can reduce 436 to:
% 47.29/16.59  																																																| (681)  ~ (e4 = e1)
% 47.29/16.59  																																																|
% 47.29/16.59  																																																| Simplifying 681 yields:
% 47.29/16.59  																																																| (256)  ~ (e4 = e1)
% 47.29/16.59  																																																|
% 47.29/16.59  																																																+-Applying beta-rule and splitting (34882), into two cases.
% 47.29/16.59  																																																|-Branch one:
% 47.29/16.59  																																																| (610) all_0_97_97 = e4
% 47.29/16.59  																																																|
% 47.29/16.59  																																																	| Equations (610) can reduce 428 to:
% 47.29/16.59  																																																	| (177)  ~ (e4 = e3)
% 47.29/16.59  																																																	|
% 47.29/16.59  																																																	| Equations (610) can reduce 609 to:
% 47.29/16.59  																																																	| (23)  ~ (e4 = e0)
% 47.29/16.59  																																																	|
% 47.29/16.59  																																																	| From (610) and (252) follows:
% 47.29/16.59  																																																	| (30644) op(e1, e4) = all_0_67_67
% 47.29/16.59  																																																	|
% 47.29/16.59  																																																	| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 47.29/16.59  																																																	| (3520) all_0_67_67 = e4
% 47.29/16.59  																																																	|
% 47.29/16.59  																																																	| Instantiating formula (262) with e1, e0, all_0_49_49, e2 and discharging atoms op(e1, e0) = all_0_49_49, op(e1, e0) = e2, yields:
% 47.29/16.59  																																																	| (10505) all_0_49_49 = e2
% 47.29/16.59  																																																	|
% 47.29/16.59  																																																	| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_49_49 and discharging atoms op(e1, e0) = all_0_49_49, op(e1, e0) = all_0_62_62, yields:
% 47.29/16.59  																																																	| (10506) all_0_49_49 = all_0_62_62
% 47.29/16.59  																																																	|
% 47.29/16.60  																																																	| Combining equations (10505,10506) yields a new equation:
% 47.29/16.60  																																																	| (9103) all_0_62_62 = e2
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	+-Applying beta-rule and splitting (276), into two cases.
% 47.29/16.60  																																																	|-Branch one:
% 47.29/16.60  																																																	| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																		+-Applying beta-rule and splitting (577), into two cases.
% 47.29/16.60  																																																		|-Branch one:
% 47.29/16.60  																																																		| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																			+-Applying beta-rule and splitting (578), into two cases.
% 47.29/16.60  																																																			|-Branch one:
% 47.29/16.60  																																																			| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																				| Applying alpha-rule on (579) yields:
% 47.29/16.60  																																																				| (580) all_0_60_60 = e4
% 47.29/16.60  																																																				| (581)  ~ (all_0_61_61 = e1)
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Combining equations (580,1403) yields a new equation:
% 47.29/16.60  																																																				| (790) e4 = e3
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Simplifying 790 yields:
% 47.29/16.60  																																																				| (434) e4 = e3
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Equations (434) can reduce 177 to:
% 47.29/16.60  																																																				| (311) $false
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				|-The branch is then unsatisfiable
% 47.29/16.60  																																																			|-Branch two:
% 47.29/16.60  																																																			| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																				| Applying alpha-rule on (585) yields:
% 47.29/16.60  																																																				| (586) all_0_62_62 = e3
% 47.29/16.60  																																																				| (587)  ~ (all_0_63_63 = e1)
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Combining equations (586,9103) yields a new equation:
% 47.29/16.60  																																																				| (547) e3 = e2
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Simplifying 547 yields:
% 47.29/16.60  																																																				| (548) e3 = e2
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				| Equations (548) can reduce 169 to:
% 47.29/16.60  																																																				| (311) $false
% 47.29/16.60  																																																				|
% 47.29/16.60  																																																				|-The branch is then unsatisfiable
% 47.29/16.60  																																																		|-Branch two:
% 47.29/16.60  																																																		| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																			| Applying alpha-rule on (590) yields:
% 47.29/16.60  																																																			| (591) all_0_64_64 = e2
% 47.29/16.60  																																																			| (592)  ~ (all_0_65_65 = e1)
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																			| Combining equations (591,10723) yields a new equation:
% 47.29/16.60  																																																			| (408) e2 = e1
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																			| Simplifying 408 yields:
% 47.29/16.60  																																																			| (385) e2 = e1
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																			| Equations (385) can reduce 243 to:
% 47.29/16.60  																																																			| (311) $false
% 47.29/16.60  																																																			|
% 47.29/16.60  																																																			|-The branch is then unsatisfiable
% 47.29/16.60  																																																	|-Branch two:
% 47.29/16.60  																																																	| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																		| Applying alpha-rule on (596) yields:
% 47.29/16.60  																																																		| (597) all_0_67_67 = e0
% 47.29/16.60  																																																		| (598)  ~ (all_0_68_68 = e1)
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		| Combining equations (597,3520) yields a new equation:
% 47.29/16.60  																																																		| (912) e4 = e0
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		| Equations (912) can reduce 23 to:
% 47.29/16.60  																																																		| (311) $false
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		|-The branch is then unsatisfiable
% 47.29/16.60  																																																|-Branch two:
% 47.29/16.60  																																																| (319)  ~ (all_0_97_97 = e4)
% 47.29/16.60  																																																| (2650) all_0_98_98 = e4
% 47.29/16.60  																																																|
% 47.29/16.60  																																																	| Combining equations (2650,1543) yields a new equation:
% 47.29/16.60  																																																	| (813) e4 = e1
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	| Simplifying 813 yields:
% 47.29/16.60  																																																	| (814) e4 = e1
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	| Equations (814) can reduce 256 to:
% 47.29/16.60  																																																	| (311) $false
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	|-The branch is then unsatisfiable
% 47.29/16.60  																																														|-Branch two:
% 47.29/16.60  																																														| (426)  ~ (all_0_92_92 = e3)
% 47.29/16.60  																																														| (570) all_0_93_93 = e3
% 47.29/16.60  																																														|
% 47.29/16.60  																																															| Combining equations (522,570) yields a new equation:
% 47.29/16.60  																																															| (548) e3 = e2
% 47.29/16.60  																																															|
% 47.29/16.60  																																															| Equations (548) can reduce 169 to:
% 47.29/16.60  																																															| (311) $false
% 47.29/16.60  																																															|
% 47.29/16.60  																																															|-The branch is then unsatisfiable
% 47.29/16.60  																																											|-Branch two:
% 47.29/16.60  																																											| (762)  ~ (all_0_90_90 = e0)
% 47.29/16.60  																																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.60  																																											|
% 47.29/16.60  																																												+-Applying beta-rule and splitting (254), into two cases.
% 47.29/16.60  																																												|-Branch one:
% 47.29/16.60  																																												| (910) all_0_82_82 = e0
% 47.29/16.60  																																												|
% 47.29/16.60  																																													| Combining equations (469,910) yields a new equation:
% 47.29/16.60  																																													| (911) e4 = e0
% 47.29/16.60  																																													|
% 47.29/16.60  																																													| Simplifying 911 yields:
% 47.29/16.60  																																													| (912) e4 = e0
% 47.29/16.60  																																													|
% 47.29/16.60  																																													| Equations (912) can reduce 23 to:
% 47.29/16.60  																																													| (311) $false
% 47.29/16.60  																																													|
% 47.29/16.60  																																													|-The branch is then unsatisfiable
% 47.29/16.60  																																												|-Branch two:
% 47.29/16.60  																																												| (914)  ~ (all_0_82_82 = e0)
% 47.29/16.60  																																												| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.29/16.60  																																												|
% 47.29/16.60  																																													+-Applying beta-rule and splitting (2481), into two cases.
% 47.29/16.60  																																													|-Branch one:
% 47.29/16.60  																																													| (1265) all_0_84_84 = e3
% 47.29/16.60  																																													|
% 47.29/16.60  																																														| Combining equations (916,1265) yields a new equation:
% 47.29/16.60  																																														| (600) e3 = e0
% 47.29/16.60  																																														|
% 47.29/16.60  																																														| Equations (600) can reduce 50 to:
% 47.29/16.60  																																														| (311) $false
% 47.29/16.60  																																														|
% 47.29/16.60  																																														|-The branch is then unsatisfiable
% 47.29/16.60  																																													|-Branch two:
% 47.29/16.60  																																													| (422)  ~ (all_0_84_84 = e3)
% 47.29/16.60  																																													| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.29/16.60  																																													|
% 47.29/16.60  																																														+-Applying beta-rule and splitting (3765), into two cases.
% 47.29/16.60  																																														|-Branch one:
% 47.29/16.60  																																														| (882) all_0_92_92 = e3
% 47.29/16.60  																																														|
% 47.29/16.60  																																															| Equations (882) can reduce 946 to:
% 47.29/16.60  																																															| (50)  ~ (e3 = e0)
% 47.29/16.60  																																															|
% 47.29/16.60  																																															+-Applying beta-rule and splitting (915), into two cases.
% 47.29/16.60  																																															|-Branch one:
% 47.29/16.60  																																															| (378) all_0_86_86 = e0
% 47.29/16.60  																																															|
% 47.29/16.60  																																																| Combining equations (384,378) yields a new equation:
% 47.29/16.60  																																																| (1107) e1 = e0
% 47.29/16.60  																																																|
% 47.29/16.60  																																																| Simplifying 1107 yields:
% 47.29/16.60  																																																| (865) e1 = e0
% 47.29/16.60  																																																|
% 47.29/16.60  																																																| Equations (865) can reduce 264 to:
% 47.29/16.60  																																																| (311) $false
% 47.29/16.60  																																																|
% 47.29/16.60  																																																|-The branch is then unsatisfiable
% 47.29/16.60  																																															|-Branch two:
% 47.29/16.60  																																															| (381)  ~ (all_0_86_86 = e0)
% 47.29/16.60  																																															| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.29/16.60  																																															|
% 47.29/16.60  																																																| Equations (384) can reduce 381 to:
% 47.29/16.60  																																																| (264)  ~ (e1 = e0)
% 47.29/16.60  																																																|
% 47.29/16.60  																																																+-Applying beta-rule and splitting (1455), into two cases.
% 47.29/16.60  																																																|-Branch one:
% 47.29/16.60  																																																| (1456) all_0_91_91 = e0
% 47.29/16.60  																																																|
% 47.29/16.60  																																																	| Combining equations (1456,801) yields a new equation:
% 47.29/16.60  																																																	| (865) e1 = e0
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	| Equations (865) can reduce 264 to:
% 47.29/16.60  																																																	| (311) $false
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																	|-The branch is then unsatisfiable
% 47.29/16.60  																																																|-Branch two:
% 47.29/16.60  																																																| (1487)  ~ (all_0_91_91 = e0)
% 47.29/16.60  																																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.29/16.60  																																																|
% 47.29/16.60  																																																	+-Applying beta-rule and splitting (1488), into two cases.
% 47.29/16.60  																																																	|-Branch one:
% 47.29/16.60  																																																	| (942) all_0_92_92 = e0
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																		| Combining equations (942,882) yields a new equation:
% 47.29/16.60  																																																		| (600) e3 = e0
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		| Equations (600) can reduce 50 to:
% 47.29/16.60  																																																		| (311) $false
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		|-The branch is then unsatisfiable
% 47.29/16.60  																																																	|-Branch two:
% 47.29/16.60  																																																	| (946)  ~ (all_0_92_92 = e0)
% 47.29/16.60  																																																	| (604) all_0_93_93 = e0
% 47.29/16.60  																																																	|
% 47.29/16.60  																																																		| Combining equations (604,522) yields a new equation:
% 47.29/16.60  																																																		| (379) e2 = e0
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		| Equations (379) can reduce 76 to:
% 47.29/16.60  																																																		| (311) $false
% 47.29/16.60  																																																		|
% 47.29/16.60  																																																		|-The branch is then unsatisfiable
% 47.29/16.60  																																														|-Branch two:
% 47.29/16.60  																																														| (426)  ~ (all_0_92_92 = e3)
% 47.29/16.60  																																														| (556) all_0_97_97 = e3
% 47.29/16.60  																																														|
% 47.29/16.60  																																															| Equations (556) can reduce 428 to:
% 47.29/16.60  																																															| (311) $false
% 47.29/16.60  																																															|
% 47.29/16.60  																																															|-The branch is then unsatisfiable
% 47.29/16.60  																																									|-Branch two:
% 47.29/16.60  																																									| (465)  ~ (all_0_82_82 = e4)
% 47.29/16.60  																																									| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.29/16.60  																																									|
% 47.29/16.60  																																										+-Applying beta-rule and splitting (3625), into two cases.
% 47.29/16.60  																																										|-Branch one:
% 47.29/16.60  																																										| (469) all_0_82_82 = e4
% 47.29/16.60  																																										|
% 47.29/16.60  																																											| Equations (469) can reduce 465 to:
% 47.29/16.60  																																											| (311) $false
% 47.29/16.60  																																											|
% 47.29/16.60  																																											|-The branch is then unsatisfiable
% 47.29/16.60  																																										|-Branch two:
% 47.29/16.60  																																										| (465)  ~ (all_0_82_82 = e4)
% 47.29/16.60  																																										| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.29/16.60  																																										|
% 47.29/16.60  																																											+-Applying beta-rule and splitting (3629), into two cases.
% 47.29/16.60  																																											|-Branch one:
% 47.29/16.60  																																											| (583) all_0_90_90 = e4
% 47.29/16.60  																																											|
% 47.29/16.60  																																												| Equations (583) can reduce 467 to:
% 47.29/16.60  																																												| (311) $false
% 47.29/16.60  																																												|
% 47.29/16.60  																																												|-The branch is then unsatisfiable
% 47.29/16.60  																																											|-Branch two:
% 47.29/16.60  																																											| (467)  ~ (all_0_90_90 = e4)
% 47.29/16.60  																																											| (894) all_0_95_95 = e4
% 47.29/16.60  																																											|
% 47.29/16.60  																																												| Combining equations (744,894) yields a new equation:
% 47.29/16.60  																																												| (434) e4 = e3
% 47.29/16.60  																																												|
% 47.29/16.60  																																												| Equations (434) can reduce 177 to:
% 47.29/16.60  																																												| (311) $false
% 47.29/16.60  																																												|
% 47.29/16.60  																																												|-The branch is then unsatisfiable
% 47.29/16.60  																																								|-Branch two:
% 47.29/16.60  																																								| (919)  ~ (all_0_84_84 = e0)
% 47.29/16.60  																																								| (954) all_0_85_85 = e0
% 47.29/16.60  																																								|
% 47.29/16.60  																																									| Combining equations (954,804) yields a new equation:
% 47.29/16.60  																																									| (600) e3 = e0
% 47.29/16.60  																																									|
% 47.29/16.60  																																									| Equations (600) can reduce 50 to:
% 47.29/16.60  																																									| (311) $false
% 47.29/16.60  																																									|
% 47.29/16.60  																																									|-The branch is then unsatisfiable
% 47.38/16.60  																																	|-Branch two:
% 47.38/16.60  																																	| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.38/16.60  																																	|
% 47.38/16.60  																																		| Applying alpha-rule on (1385) yields:
% 47.38/16.60  																																		| (1386) all_0_73_73 = e2
% 47.38/16.60  																																		| (1387)  ~ (all_0_74_74 = e0)
% 47.38/16.60  																																		|
% 47.38/16.60  																																		| Combining equations (2602,1386) yields a new equation:
% 47.38/16.60  																																		| (385) e2 = e1
% 47.38/16.60  																																		|
% 47.38/16.60  																																		| Equations (385) can reduce 243 to:
% 47.38/16.60  																																		| (311) $false
% 47.38/16.60  																																		|
% 47.38/16.60  																																		|-The branch is then unsatisfiable
% 47.38/16.60  																																|-Branch two:
% 47.38/16.60  																																| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.38/16.60  																																|
% 47.38/16.60  																																	| Applying alpha-rule on (1391) yields:
% 47.38/16.60  																																	| (1392) all_0_75_75 = e1
% 47.38/16.60  																																	| (1393)  ~ (all_0_76_76 = e0)
% 47.38/16.60  																																	|
% 47.38/16.61  																																	| Combining equations (38862,1392) yields a new equation:
% 47.38/16.61  																																	| (865) e1 = e0
% 47.38/16.61  																																	|
% 47.38/16.61  																																	| Equations (865) can reduce 264 to:
% 47.38/16.61  																																	| (311) $false
% 47.38/16.61  																																	|
% 47.38/16.61  																																	|-The branch is then unsatisfiable
% 47.38/16.61  																													|-Branch two:
% 47.38/16.61  																													| (952)  ~ (all_0_85_85 = e3)
% 47.38/16.61  																													| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.38/16.61  																													|
% 47.38/16.61  																														+-Applying beta-rule and splitting (4559), into two cases.
% 47.38/16.61  																														|-Branch one:
% 47.38/16.61  																														| (570) all_0_93_93 = e3
% 47.38/16.61  																														|
% 47.38/16.61  																															| Combining equations (570,522) yields a new equation:
% 47.38/16.61  																															| (547) e3 = e2
% 47.38/16.61  																															|
% 47.38/16.61  																															| Simplifying 547 yields:
% 47.38/16.61  																															| (548) e3 = e2
% 47.38/16.61  																															|
% 47.38/16.61  																															| Equations (548) can reduce 169 to:
% 47.38/16.61  																															| (311) $false
% 47.38/16.61  																															|
% 47.38/16.61  																															|-The branch is then unsatisfiable
% 47.38/16.61  																														|-Branch two:
% 47.38/16.61  																														| (602)  ~ (all_0_93_93 = e3)
% 47.38/16.61  																														| (969) all_0_98_98 = e3
% 47.38/16.61  																														|
% 47.38/16.61  																															| Combining equations (969,1543) yields a new equation:
% 47.38/16.61  																															| (825) e3 = e1
% 47.38/16.61  																															|
% 47.38/16.61  																															| Simplifying 825 yields:
% 47.38/16.61  																															| (772) e3 = e1
% 47.38/16.61  																															|
% 47.38/16.61  																															| Equations (772) can reduce 20 to:
% 47.38/16.61  																															| (311) $false
% 47.38/16.61  																															|
% 47.38/16.61  																															|-The branch is then unsatisfiable
% 47.38/16.61  																											|-Branch two:
% 47.38/16.61  																											| (828)  ~ (all_0_80_80 = e1)
% 47.38/16.61  																											| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.38/16.61  																											|
% 47.38/16.61  																												+-Applying beta-rule and splitting (129), into two cases.
% 47.38/16.61  																												|-Branch one:
% 47.38/16.61  																												| (676) all_0_78_78 = e1
% 47.38/16.61  																												|
% 47.38/16.61  																													| Combining equations (400,676) yields a new equation:
% 47.38/16.61  																													| (408) e2 = e1
% 47.38/16.61  																													|
% 47.38/16.61  																													| Simplifying 408 yields:
% 47.38/16.61  																													| (385) e2 = e1
% 47.38/16.61  																													|
% 47.38/16.61  																													| Equations (385) can reduce 243 to:
% 47.38/16.61  																													| (311) $false
% 47.38/16.61  																													|
% 47.38/16.61  																													|-The branch is then unsatisfiable
% 47.38/16.61  																												|-Branch two:
% 47.38/16.61  																												| (1601)  ~ (all_0_78_78 = e1)
% 47.38/16.61  																												| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.38/16.61  																												|
% 47.38/16.61  																													| Equations (400) can reduce 1601 to:
% 47.38/16.61  																													| (243)  ~ (e2 = e1)
% 47.38/16.61  																													|
% 47.38/16.61  																													+-Applying beta-rule and splitting (829), into two cases.
% 47.38/16.61  																													|-Branch one:
% 47.38/16.61  																													| (482) all_0_87_87 = e1
% 47.38/16.61  																													|
% 47.38/16.61  																														| Combining equations (374,482) yields a new equation:
% 47.38/16.61  																														| (408) e2 = e1
% 47.38/16.61  																														|
% 47.38/16.61  																														| Simplifying 408 yields:
% 47.38/16.61  																														| (385) e2 = e1
% 47.38/16.61  																														|
% 47.38/16.61  																														| Equations (385) can reduce 243 to:
% 47.38/16.61  																														| (311) $false
% 47.38/16.61  																														|
% 47.38/16.61  																														|-The branch is then unsatisfiable
% 47.38/16.61  																													|-Branch two:
% 47.38/16.61  																													| (625)  ~ (all_0_87_87 = e1)
% 47.38/16.61  																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.38/16.61  																													|
% 47.38/16.61  																														+-Applying beta-rule and splitting (835), into two cases.
% 47.38/16.61  																														|-Branch one:
% 47.38/16.61  																														| (836) all_0_92_92 = e1
% 47.38/16.61  																														|
% 47.38/16.61  																															| Equations (836) can reduce 840 to:
% 47.38/16.61  																															| (311) $false
% 47.38/16.61  																															|
% 47.38/16.61  																															|-The branch is then unsatisfiable
% 47.38/16.61  																														|-Branch two:
% 47.38/16.61  																														| (840)  ~ (all_0_92_92 = e1)
% 47.38/16.61  																														| (542) all_0_97_97 = e1
% 47.38/16.61  																														|
% 47.38/16.61  																															| Equations (542) can reduce 486 to:
% 47.38/16.61  																															| (311) $false
% 47.38/16.61  																															|
% 47.38/16.61  																															|-The branch is then unsatisfiable
% 47.38/16.61  																									|-Branch two:
% 47.38/16.61  																									| (959)  ~ (all_0_91_91 = e1)
% 47.38/16.61  																									| (960) all_0_96_96 = e1
% 47.38/16.61  																									|
% 47.38/16.61  																										| Equations (960) can reduce 1479 to:
% 47.38/16.61  																										| (311) $false
% 47.38/16.61  																										|
% 47.38/16.61  																										|-The branch is then unsatisfiable
% 47.38/16.61  																|-Branch two:
% 47.38/16.61  																| (300)  ~ (all_0_93_93 = e2)
% 47.38/16.61  																| (525) all_0_98_98 = e2
% 47.38/16.61  																|
% 47.38/16.61  																	| Equations (525) can reduce 1349 to:
% 47.38/16.61  																	| (311) $false
% 47.38/16.61  																	|
% 47.38/16.61  																	|-The branch is then unsatisfiable
% 47.38/16.61  												|-Branch two:
% 47.38/16.61  												| (346)  ~ (all_0_78_78 = e2)
% 47.38/16.61  												| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.38/16.61  												|
% 47.38/16.61  													+-Applying beta-rule and splitting (70), into two cases.
% 47.38/16.61  													|-Branch one:
% 47.38/16.61  													| (400) all_0_78_78 = e2
% 47.38/16.61  													|
% 47.38/16.61  														| Equations (400) can reduce 346 to:
% 47.38/16.61  														| (311) $false
% 47.38/16.61  														|
% 47.38/16.61  														|-The branch is then unsatisfiable
% 47.38/16.61  													|-Branch two:
% 47.38/16.61  													| (346)  ~ (all_0_78_78 = e2)
% 47.38/16.61  													| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.38/16.61  													|
% 47.38/16.61  														+-Applying beta-rule and splitting (1658), into two cases.
% 47.38/16.61  														|-Branch one:
% 47.38/16.61  														| (390) all_0_79_79 = e2
% 47.38/16.61  														|
% 47.38/16.61  															| Equations (390) can reduce 1622 to:
% 47.38/16.61  															| (311) $false
% 47.38/16.61  															|
% 47.38/16.61  															|-The branch is then unsatisfiable
% 47.38/16.61  														|-Branch two:
% 47.38/16.61  														| (1622)  ~ (all_0_79_79 = e2)
% 47.38/16.61  														| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 47.38/16.61  														|
% 47.38/16.61  															+-Applying beta-rule and splitting (403), into two cases.
% 47.38/16.61  															|-Branch one:
% 47.38/16.61  															| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.38/16.61  															|
% 47.38/16.61  																+-Applying beta-rule and splitting (404), into two cases.
% 47.38/16.61  																|-Branch one:
% 47.38/16.61  																| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.38/16.61  																|
% 47.38/16.61  																	| Applying alpha-rule on (405) yields:
% 47.38/16.61  																	| (406) all_0_39_39 = e1
% 47.38/16.61  																	| (407)  ~ (all_0_40_40 = e4)
% 47.38/16.61  																	|
% 47.38/16.61  																	| Combining equations (406,30566) yields a new equation:
% 47.38/16.61  																	| (1107) e1 = e0
% 47.38/16.61  																	|
% 47.38/16.61  																	| Simplifying 1107 yields:
% 47.38/16.61  																	| (865) e1 = e0
% 47.38/16.61  																	|
% 47.38/16.61  																	| Equations (865) can reduce 264 to:
% 47.38/16.61  																	| (311) $false
% 47.38/16.61  																	|
% 47.38/16.61  																	|-The branch is then unsatisfiable
% 47.38/16.61  																|-Branch two:
% 47.38/16.61  																| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.38/16.61  																|
% 47.38/16.61  																	| Applying alpha-rule on (411) yields:
% 47.38/16.61  																	| (337) all_0_41_41 = e0
% 47.38/16.61  																	| (413)  ~ (all_0_42_42 = e4)
% 47.38/16.61  																	|
% 47.38/16.61  																	| Combining equations (30560,337) yields a new equation:
% 47.38/16.61  																	| (37985) all_0_79_79 = e0
% 47.38/16.61  																	|
% 47.38/16.61  																	| Simplifying 37985 yields:
% 47.38/16.61  																	| (37986) all_0_79_79 = e0
% 47.38/16.61  																	|
% 47.38/16.61  																	| Equations (37986) can reduce 9 to:
% 47.38/16.61  																	| (311) $false
% 47.38/16.61  																	|
% 47.38/16.61  																	|-The branch is then unsatisfiable
% 47.38/16.61  															|-Branch two:
% 47.38/16.61  															| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.38/16.61  															|
% 47.38/16.61  																| Applying alpha-rule on (415) yields:
% 47.38/16.61  																| (416) all_0_80_80 = e3
% 47.38/16.61  																| (417)  ~ (all_0_84_84 = e4)
% 47.38/16.61  																|
% 47.38/16.61  																| Equations (416) can reduce 63 to:
% 47.38/16.61  																| (1711)  ~ (all_0_79_79 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Equations (416) can reduce 144 to:
% 47.38/16.61  																| (419)  ~ (all_0_81_81 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Simplifying 419 yields:
% 47.38/16.61  																| (420)  ~ (all_0_81_81 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Equations (416) can reduce 273 to:
% 47.38/16.61  																| (421)  ~ (all_0_84_84 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Simplifying 421 yields:
% 47.38/16.61  																| (422)  ~ (all_0_84_84 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Equations (416) can reduce 49 to:
% 47.38/16.61  																| (425)  ~ (all_0_92_92 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Simplifying 425 yields:
% 47.38/16.61  																| (426)  ~ (all_0_92_92 = e3)
% 47.38/16.61  																|
% 47.38/16.61  																| Equations (416) can reduce 394 to:
% 47.38/16.61  																| (169)  ~ (e3 = e2)
% 47.38/16.61  																|
% 47.38/16.61  																+-Applying beta-rule and splitting (3249), into two cases.
% 47.38/16.61  																|-Branch one:
% 47.38/16.61  																| (546) all_0_80_80 = e2
% 47.38/16.61  																|
% 47.38/16.61  																	| Combining equations (416,546) yields a new equation:
% 47.38/16.61  																	| (547) e3 = e2
% 47.38/16.61  																	|
% 47.38/16.61  																	| Simplifying 547 yields:
% 47.38/16.61  																	| (548) e3 = e2
% 47.38/16.61  																	|
% 47.38/16.61  																	| Equations (548) can reduce 169 to:
% 47.38/16.61  																	| (311) $false
% 47.38/16.61  																	|
% 47.38/16.61  																	|-The branch is then unsatisfiable
% 47.38/16.61  																|-Branch two:
% 47.38/16.61  																| (394)  ~ (all_0_80_80 = e2)
% 47.38/16.62  																| (473) all_0_81_81 = e2
% 47.38/16.62  																|
% 47.38/16.62  																	| Equations (473) can reduce 278 to:
% 47.38/16.62  																	| (346)  ~ (all_0_78_78 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Equations (473) can reduce 118 to:
% 47.38/16.62  																	| (691)  ~ (all_0_85_85 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Simplifying 691 yields:
% 47.38/16.62  																	| (515)  ~ (all_0_85_85 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Equations (473) can reduce 277 to:
% 47.38/16.62  																	| (299)  ~ (all_0_93_93 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Simplifying 299 yields:
% 47.38/16.62  																	| (300)  ~ (all_0_93_93 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Equations (473) can reduce 420 to:
% 47.38/16.62  																	| (356)  ~ (e3 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	| Simplifying 356 yields:
% 47.38/16.62  																	| (169)  ~ (e3 = e2)
% 47.38/16.62  																	|
% 47.38/16.62  																	+-Applying beta-rule and splitting (56), into two cases.
% 47.38/16.62  																	|-Branch one:
% 47.38/16.62  																	| (463) all_0_78_78 = e4
% 47.38/16.62  																	|
% 47.38/16.62  																		| Equations (463) can reduce 193 to:
% 47.38/16.62  																		| (464)  ~ (all_0_82_82 = e4)
% 47.38/16.62  																		|
% 47.38/16.62  																		| Simplifying 464 yields:
% 47.38/16.62  																		| (465)  ~ (all_0_82_82 = e4)
% 47.38/16.62  																		|
% 47.38/16.62  																		| Equations (463) can reduce 125 to:
% 47.38/16.62  																		| (314)  ~ (all_0_95_95 = e4)
% 47.38/16.62  																		|
% 47.38/16.62  																		| Simplifying 314 yields:
% 47.38/16.62  																		| (315)  ~ (all_0_95_95 = e4)
% 47.38/16.62  																		|
% 47.38/16.62  																		| Equations (463) can reduce 346 to:
% 47.38/16.62  																		| (79)  ~ (e4 = e2)
% 47.38/16.62  																		|
% 47.38/16.62  																		+-Applying beta-rule and splitting (92), into two cases.
% 47.38/16.62  																		|-Branch one:
% 47.38/16.62  																		| (552) all_0_84_84 = e2
% 47.38/16.62  																		|
% 47.38/16.62  																			| Equations (552) can reduce 612 to:
% 47.38/16.62  																			| (311) $false
% 47.38/16.62  																			|
% 47.38/16.62  																			|-The branch is then unsatisfiable
% 47.38/16.62  																		|-Branch two:
% 47.38/16.62  																		| (612)  ~ (all_0_84_84 = e2)
% 47.38/16.62  																		| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.38/16.62  																		|
% 47.38/16.62  																			+-Applying beta-rule and splitting (617), into two cases.
% 47.38/16.62  																			|-Branch one:
% 47.38/16.62  																			| (1265) all_0_84_84 = e3
% 47.38/16.62  																			|
% 47.38/16.62  																				| Equations (1265) can reduce 422 to:
% 47.38/16.62  																				| (311) $false
% 47.38/16.62  																				|
% 47.38/16.62  																				|-The branch is then unsatisfiable
% 47.38/16.62  																			|-Branch two:
% 47.38/16.62  																			| (422)  ~ (all_0_84_84 = e3)
% 47.38/16.62  																			| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.38/16.62  																			|
% 47.38/16.62  																				+-Applying beta-rule and splitting (1268), into two cases.
% 47.38/16.62  																				|-Branch one:
% 47.38/16.62  																				| (916) all_0_84_84 = e0
% 47.38/16.62  																				|
% 47.38/16.62  																					| Equations (916) can reduce 154 to:
% 47.38/16.62  																					| (799)  ~ (all_0_85_85 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Simplifying 799 yields:
% 47.38/16.62  																					| (800)  ~ (all_0_85_85 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Equations (916) can reduce 87 to:
% 47.38/16.62  																					| (2299)  ~ (all_0_92_92 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Simplifying 2299 yields:
% 47.38/16.62  																					| (946)  ~ (all_0_92_92 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Equations (916) can reduce 195 to:
% 47.38/16.62  																					| (938)  ~ (all_0_97_97 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Simplifying 938 yields:
% 47.38/16.62  																					| (609)  ~ (all_0_97_97 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Equations (916) can reduce 422 to:
% 47.38/16.62  																					| (906)  ~ (e3 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Simplifying 906 yields:
% 47.38/16.62  																					| (50)  ~ (e3 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Equations (916) can reduce 612 to:
% 47.38/16.62  																					| (510)  ~ (e2 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					| Simplifying 510 yields:
% 47.38/16.62  																					| (76)  ~ (e2 = e0)
% 47.38/16.62  																					|
% 47.38/16.62  																					+-Applying beta-rule and splitting (236), into two cases.
% 47.38/16.62  																					|-Branch one:
% 47.38/16.62  																					| (292) all_0_89_89 = e2
% 47.38/16.62  																					|
% 47.38/16.62  																						| Combining equations (292,308) yields a new equation:
% 47.38/16.62  																						| (310) e4 = e2
% 47.38/16.62  																						|
% 47.38/16.62  																						| Equations (310) can reduce 79 to:
% 47.38/16.62  																						| (311) $false
% 47.38/16.62  																						|
% 47.38/16.62  																						|-The branch is then unsatisfiable
% 47.38/16.62  																					|-Branch two:
% 47.38/16.62  																					| (30522)  ~ (all_0_89_89 = e2)
% 47.38/16.62  																					| (30794) all_0_90_90 = e2 | all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 47.38/16.62  																					|
% 47.38/16.62  																						+-Applying beta-rule and splitting (30794), into two cases.
% 47.38/16.62  																						|-Branch one:
% 47.38/16.62  																						| (746) all_0_90_90 = e2
% 47.38/16.62  																						|
% 47.38/16.62  																							| Equations (746) can reduce 72 to:
% 47.38/16.62  																							| (297)  ~ (all_0_92_92 = e2)
% 47.38/16.62  																							|
% 47.38/16.62  																							| Simplifying 297 yields:
% 47.38/16.62  																							| (298)  ~ (all_0_92_92 = e2)
% 47.38/16.62  																							|
% 47.38/16.62  																							| Equations (746) can reduce 34 to:
% 47.38/16.62  																							| (299)  ~ (all_0_93_93 = e2)
% 47.38/16.62  																							|
% 47.38/16.62  																							| Simplifying 299 yields:
% 47.38/16.62  																							| (300)  ~ (all_0_93_93 = e2)
% 47.38/16.62  																							|
% 47.38/16.62  																							+-Applying beta-rule and splitting (291), into two cases.
% 47.38/16.62  																							|-Branch one:
% 47.38/16.62  																							| (758) all_0_90_90 = e0
% 47.38/16.62  																							|
% 47.38/16.62  																								| Combining equations (746,758) yields a new equation:
% 47.38/16.62  																								| (923) e2 = e0
% 47.38/16.62  																								|
% 47.38/16.62  																								| Simplifying 923 yields:
% 47.38/16.62  																								| (379) e2 = e0
% 47.38/16.62  																								|
% 47.38/16.62  																								| Equations (379) can reduce 76 to:
% 47.38/16.62  																								| (311) $false
% 47.38/16.62  																								|
% 47.38/16.62  																								|-The branch is then unsatisfiable
% 47.38/16.62  																							|-Branch two:
% 47.38/16.62  																							| (762)  ~ (all_0_90_90 = e0)
% 47.38/16.62  																							| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.38/16.62  																							|
% 47.38/16.62  																								+-Applying beta-rule and splitting (1455), into two cases.
% 47.38/16.62  																								|-Branch one:
% 47.38/16.62  																								| (1456) all_0_91_91 = e0
% 47.38/16.62  																								|
% 47.38/16.62  																									| Equations (1456) can reduce 17 to:
% 47.38/16.62  																									| (9)  ~ (all_0_79_79 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Equations (1456) can reduce 265 to:
% 47.38/16.62  																									| (2299)  ~ (all_0_92_92 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Simplifying 2299 yields:
% 47.38/16.62  																									| (946)  ~ (all_0_92_92 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Equations (1456) can reduce 44 to:
% 47.38/16.62  																									| (508)  ~ (all_0_93_93 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Simplifying 508 yields:
% 47.38/16.62  																									| (509)  ~ (all_0_93_93 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Equations (1456) can reduce 64 to:
% 47.38/16.62  																									| (2296)  ~ (all_0_96_96 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| Simplifying 2296 yields:
% 47.38/16.62  																									| (2095)  ~ (all_0_96_96 = e0)
% 47.38/16.62  																									|
% 47.38/16.62  																									| From (1456) and (222) follows:
% 47.38/16.62  																									| (8259) op(e2, e0) = all_0_56_56
% 47.38/16.62  																									|
% 47.38/16.62  																									+-Applying beta-rule and splitting (102), into two cases.
% 47.38/16.62  																									|-Branch one:
% 47.38/16.62  																									| (858) all_0_95_95 = e0
% 47.38/16.62  																									|
% 47.38/16.62  																										| Equations (858) can reduce 279 to:
% 47.38/16.62  																										| (2296)  ~ (all_0_96_96 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										| Simplifying 2296 yields:
% 47.38/16.62  																										| (2095)  ~ (all_0_96_96 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										| Equations (858) can reduce 107 to:
% 47.38/16.62  																										| (2058)  ~ (all_0_98_98 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										| Simplifying 2058 yields:
% 47.38/16.62  																										| (2059)  ~ (all_0_98_98 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										| Equations (858) can reduce 315 to:
% 47.38/16.62  																										| (904)  ~ (e4 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										| Simplifying 904 yields:
% 47.38/16.62  																										| (23)  ~ (e4 = e0)
% 47.38/16.62  																										|
% 47.38/16.62  																										+-Applying beta-rule and splitting (119), into two cases.
% 47.38/16.62  																										|-Branch one:
% 47.38/16.62  																										| (1343) all_0_92_92 = e2
% 47.38/16.62  																										|
% 47.38/16.62  																											| Equations (1343) can reduce 298 to:
% 47.38/16.62  																											| (311) $false
% 47.38/16.62  																											|
% 47.38/16.62  																											|-The branch is then unsatisfiable
% 47.38/16.62  																										|-Branch two:
% 47.38/16.62  																										| (298)  ~ (all_0_92_92 = e2)
% 47.38/16.62  																										| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.38/16.62  																										|
% 47.38/16.62  																											+-Applying beta-rule and splitting (3735), into two cases.
% 47.38/16.62  																											|-Branch one:
% 47.38/16.62  																											| (836) all_0_92_92 = e1
% 47.38/16.62  																											|
% 47.38/16.62  																												| Equations (836) can reduce 258 to:
% 47.38/16.62  																												| (485)  ~ (all_0_97_97 = e1)
% 47.38/16.62  																												|
% 47.38/16.62  																												| Simplifying 485 yields:
% 47.38/16.62  																												| (486)  ~ (all_0_97_97 = e1)
% 47.38/16.62  																												|
% 47.38/16.62  																												| Equations (836) can reduce 426 to:
% 47.38/16.62  																												| (683)  ~ (e3 = e1)
% 47.38/16.62  																												|
% 47.38/16.62  																												| Simplifying 683 yields:
% 47.38/16.62  																												| (20)  ~ (e3 = e1)
% 47.38/16.62  																												|
% 47.38/16.62  																												| Equations (836) can reduce 946 to:
% 47.38/16.62  																												| (264)  ~ (e1 = e0)
% 47.38/16.62  																												|
% 47.38/16.62  																												+-Applying beta-rule and splitting (109), into two cases.
% 47.38/16.62  																												|-Branch one:
% 47.38/16.62  																												| (469) all_0_82_82 = e4
% 47.38/16.62  																												|
% 47.38/16.62  																													| Equations (469) can reduce 465 to:
% 47.38/16.62  																													| (311) $false
% 47.38/16.62  																													|
% 47.38/16.62  																													|-The branch is then unsatisfiable
% 47.38/16.62  																												|-Branch two:
% 47.38/16.62  																												| (465)  ~ (all_0_82_82 = e4)
% 47.38/16.62  																												| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.38/16.62  																												|
% 47.38/16.62  																													+-Applying beta-rule and splitting (65), into two cases.
% 47.38/16.62  																													|-Branch one:
% 47.38/16.62  																													| (522) all_0_93_93 = e2
% 47.38/16.62  																													|
% 47.38/16.62  																														| Equations (522) can reduce 300 to:
% 47.38/16.62  																														| (311) $false
% 47.38/16.62  																														|
% 47.38/16.62  																														|-The branch is then unsatisfiable
% 47.38/16.62  																													|-Branch two:
% 47.38/16.62  																													| (300)  ~ (all_0_93_93 = e2)
% 47.38/16.62  																													| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 47.38/16.62  																													|
% 47.38/16.62  																														+-Applying beta-rule and splitting (285), into two cases.
% 47.38/16.62  																														|-Branch one:
% 47.38/16.62  																														| (1708) all_0_79_79 = e3
% 47.38/16.62  																														|
% 47.38/16.62  																															| Equations (1708) can reduce 1711 to:
% 47.38/16.62  																															| (311) $false
% 47.38/16.62  																															|
% 47.38/16.62  																															|-The branch is then unsatisfiable
% 47.38/16.62  																														|-Branch two:
% 47.38/16.62  																														| (1711)  ~ (all_0_79_79 = e3)
% 47.38/16.62  																														| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.38/16.62  																														|
% 47.38/16.62  																															+-Applying beta-rule and splitting (1712), into two cases.
% 47.38/16.62  																															|-Branch one:
% 47.38/16.62  																															| (795) all_0_83_83 = e3
% 47.38/16.62  																															|
% 47.38/16.62  																																| Combining equations (453,795) yields a new equation:
% 47.38/16.62  																																| (548) e3 = e2
% 47.38/16.62  																																|
% 47.38/16.62  																																| Equations (548) can reduce 169 to:
% 47.38/16.62  																																| (311) $false
% 47.38/16.62  																																|
% 47.38/16.62  																																|-The branch is then unsatisfiable
% 47.38/16.62  																															|-Branch two:
% 47.38/16.62  																															| (779)  ~ (all_0_83_83 = e3)
% 47.38/16.62  																															| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.38/16.62  																															|
% 47.38/16.62  																																+-Applying beta-rule and splitting (1842), into two cases.
% 47.38/16.62  																																|-Branch one:
% 47.38/16.62  																																| (588) all_0_91_91 = e3
% 47.38/16.62  																																|
% 47.38/16.62  																																	| Combining equations (588,1456) yields a new equation:
% 47.38/16.62  																																	| (599) e3 = e0
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| Simplifying 599 yields:
% 47.38/16.62  																																	| (600) e3 = e0
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| Equations (600) can reduce 50 to:
% 47.38/16.62  																																	| (311) $false
% 47.38/16.62  																																	|
% 47.38/16.62  																																	|-The branch is then unsatisfiable
% 47.38/16.62  																																|-Branch two:
% 47.38/16.62  																																| (571)  ~ (all_0_91_91 = e3)
% 47.38/16.62  																																| (778) all_0_96_96 = e3
% 47.38/16.62  																																|
% 47.38/16.62  																																	| Equations (778) can reduce 115 to:
% 47.38/16.62  																																	| (783)  ~ (e4 = e3)
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| Simplifying 783 yields:
% 47.38/16.62  																																	| (177)  ~ (e4 = e3)
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| Equations (778) can reduce 1638 to:
% 47.38/16.62  																																	| (169)  ~ (e3 = e2)
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| Equations (778) can reduce 2095 to:
% 47.38/16.62  																																	| (50)  ~ (e3 = e0)
% 47.38/16.62  																																	|
% 47.38/16.62  																																	| From (778) and (212) follows:
% 47.38/16.62  																																	| (10599) op(e2, e3) = all_0_58_58
% 47.38/16.62  																																	|
% 47.38/16.62  																																	+-Applying beta-rule and splitting (127), into two cases.
% 47.38/16.62  																																	|-Branch one:
% 47.38/16.62  																																	| (457) all_0_79_79 = e1
% 47.38/16.62  																																	|
% 47.38/16.62  																																		| Equations (457) can reduce 9 to:
% 47.38/16.62  																																		| (264)  ~ (e1 = e0)
% 47.38/16.62  																																		|
% 47.38/16.62  																																		| From (457) and (184) follows:
% 47.38/16.62  																																		| (1679) op(e2, e1) = all_0_52_52
% 47.38/16.62  																																		|
% 47.38/16.62  																																		+-Applying beta-rule and splitting (176), into two cases.
% 47.38/16.62  																																		|-Branch one:
% 47.38/16.62  																																		| (785) all_0_95_95 = e1
% 47.38/16.62  																																		|
% 47.38/16.62  																																			| Combining equations (785,858) yields a new equation:
% 47.38/16.62  																																			| (1107) e1 = e0
% 47.38/16.62  																																			|
% 47.38/16.62  																																			| Simplifying 1107 yields:
% 47.38/16.62  																																			| (865) e1 = e0
% 47.38/16.62  																																			|
% 47.38/16.62  																																			| Equations (865) can reduce 264 to:
% 47.38/16.62  																																			| (311) $false
% 47.38/16.62  																																			|
% 47.38/16.62  																																			|-The branch is then unsatisfiable
% 47.38/16.62  																																		|-Branch two:
% 47.38/16.62  																																		| (680)  ~ (all_0_95_95 = e1)
% 47.38/16.62  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 47.38/16.62  																																		|
% 47.38/16.62  																																			+-Applying beta-rule and splitting (210), into two cases.
% 47.38/16.62  																																			|-Branch one:
% 47.38/16.62  																																			| (433) all_0_80_80 = e4
% 47.38/16.62  																																			|
% 47.38/16.62  																																				| Combining equations (416,433) yields a new equation:
% 47.38/16.62  																																				| (434) e4 = e3
% 47.38/16.62  																																				|
% 47.38/16.62  																																				| Equations (434) can reduce 177 to:
% 47.38/16.62  																																				| (311) $false
% 47.38/16.62  																																				|
% 47.38/16.62  																																				|-The branch is then unsatisfiable
% 47.38/16.62  																																			|-Branch two:
% 47.38/16.62  																																			| (436)  ~ (all_0_80_80 = e4)
% 47.38/16.62  																																			| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.38/16.62  																																			|
% 47.38/16.62  																																				| Equations (416) can reduce 436 to:
% 47.38/16.62  																																				| (783)  ~ (e4 = e3)
% 47.38/16.62  																																				|
% 47.38/16.62  																																				| Simplifying 783 yields:
% 47.38/16.62  																																				| (177)  ~ (e4 = e3)
% 47.38/16.62  																																				|
% 47.38/16.62  																																				+-Applying beta-rule and splitting (472), into two cases.
% 47.38/16.62  																																				|-Branch one:
% 47.38/16.62  																																				| (438) all_0_84_84 = e4
% 47.38/16.62  																																				|
% 47.38/16.62  																																					| Combining equations (916,438) yields a new equation:
% 47.38/16.62  																																					| (912) e4 = e0
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Equations (912) can reduce 23 to:
% 47.38/16.62  																																					| (311) $false
% 47.38/16.62  																																					|
% 47.38/16.62  																																					|-The branch is then unsatisfiable
% 47.38/16.62  																																				|-Branch two:
% 47.38/16.62  																																				| (417)  ~ (all_0_84_84 = e4)
% 47.38/16.62  																																				| (493) all_0_85_85 = e4
% 47.38/16.62  																																				|
% 47.38/16.62  																																					| Equations (493) can reduce 201 to:
% 47.38/16.62  																																					| (495)  ~ (all_0_93_93 = e4)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Simplifying 495 yields:
% 47.38/16.62  																																					| (496)  ~ (all_0_93_93 = e4)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Equations (493) can reduce 75 to:
% 47.38/16.62  																																					| (320)  ~ (all_0_98_98 = e4)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Simplifying 320 yields:
% 47.38/16.62  																																					| (321)  ~ (all_0_98_98 = e4)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Equations (493) can reduce 515 to:
% 47.38/16.62  																																					| (79)  ~ (e4 = e2)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					| Equations (493) can reduce 800 to:
% 47.38/16.62  																																					| (23)  ~ (e4 = e0)
% 47.38/16.62  																																					|
% 47.38/16.62  																																					+-Applying beta-rule and splitting (140), into two cases.
% 47.38/16.62  																																					|-Branch one:
% 47.38/16.62  																																					| (313) all_0_94_94 = e4
% 47.38/16.62  																																					|
% 47.38/16.62  																																						| Combining equations (1757,313) yields a new equation:
% 47.38/16.62  																																						| (310) e4 = e2
% 47.38/16.62  																																						|
% 47.38/16.62  																																						| Equations (310) can reduce 79 to:
% 47.38/16.62  																																						| (311) $false
% 47.38/16.62  																																						|
% 47.38/16.62  																																						|-The branch is then unsatisfiable
% 47.38/16.62  																																					|-Branch two:
% 47.38/16.63  																																					| (34849)  ~ (all_0_94_94 = e4)
% 47.38/16.63  																																					| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.38/16.63  																																					|
% 47.38/16.63  																																						+-Applying beta-rule and splitting (171), into two cases.
% 47.38/16.63  																																						|-Branch one:
% 47.38/16.63  																																						| (789) all_0_82_82 = e3
% 47.38/16.63  																																						|
% 47.38/16.63  																																							| Equations (789) can reduce 198 to:
% 47.38/16.63  																																							| (20)  ~ (e3 = e1)
% 47.38/16.63  																																							|
% 47.38/16.63  																																							+-Applying beta-rule and splitting (788), into two cases.
% 47.38/16.63  																																							|-Branch one:
% 47.38/16.63  																																							| (960) all_0_96_96 = e1
% 47.38/16.63  																																							|
% 47.38/16.63  																																								| Combining equations (960,778) yields a new equation:
% 47.38/16.63  																																								| (772) e3 = e1
% 47.38/16.63  																																								|
% 47.38/16.63  																																								| Equations (772) can reduce 20 to:
% 47.38/16.63  																																								| (311) $false
% 47.38/16.63  																																								|
% 47.38/16.63  																																								|-The branch is then unsatisfiable
% 47.38/16.63  																																							|-Branch two:
% 47.38/16.63  																																							| (1479)  ~ (all_0_96_96 = e1)
% 47.38/16.63  																																							| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 47.38/16.63  																																							|
% 47.38/16.63  																																								+-Applying beta-rule and splitting (437), into two cases.
% 47.38/16.63  																																								|-Branch one:
% 47.38/16.63  																																								| (438) all_0_84_84 = e4
% 47.38/16.63  																																								|
% 47.38/16.63  																																									| Combining equations (916,438) yields a new equation:
% 47.38/16.63  																																									| (912) e4 = e0
% 47.38/16.63  																																									|
% 47.38/16.63  																																									| Equations (912) can reduce 23 to:
% 47.38/16.63  																																									| (311) $false
% 47.38/16.63  																																									|
% 47.38/16.63  																																									|-The branch is then unsatisfiable
% 47.38/16.63  																																								|-Branch two:
% 47.38/16.63  																																								| (417)  ~ (all_0_84_84 = e4)
% 47.38/16.63  																																								| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.38/16.63  																																								|
% 47.38/16.63  																																									| Equations (916) can reduce 417 to:
% 47.38/16.63  																																									| (904)  ~ (e4 = e0)
% 47.38/16.63  																																									|
% 47.38/16.63  																																									| Simplifying 904 yields:
% 47.38/16.63  																																									| (23)  ~ (e4 = e0)
% 47.38/16.63  																																									|
% 47.38/16.63  																																									+-Applying beta-rule and splitting (34850), into two cases.
% 47.38/16.63  																																									|-Branch one:
% 47.38/16.63  																																									| (894) all_0_95_95 = e4
% 47.38/16.63  																																									|
% 47.38/16.63  																																										| Combining equations (858,894) yields a new equation:
% 47.38/16.63  																																										| (912) e4 = e0
% 47.38/16.63  																																										|
% 47.38/16.63  																																										| Equations (912) can reduce 23 to:
% 47.38/16.63  																																										| (311) $false
% 47.38/16.63  																																										|
% 47.38/16.63  																																										|-The branch is then unsatisfiable
% 47.38/16.63  																																									|-Branch two:
% 47.38/16.63  																																									| (315)  ~ (all_0_95_95 = e4)
% 47.38/16.63  																																									| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.38/16.63  																																									|
% 47.38/16.63  																																										+-Applying beta-rule and splitting (2126), into two cases.
% 47.38/16.63  																																										|-Branch one:
% 47.38/16.63  																																										| (542) all_0_97_97 = e1
% 47.38/16.63  																																										|
% 47.38/16.63  																																											| Equations (542) can reduce 486 to:
% 47.38/16.63  																																											| (311) $false
% 47.38/16.63  																																											|
% 47.38/16.63  																																											|-The branch is then unsatisfiable
% 47.38/16.63  																																										|-Branch two:
% 47.38/16.63  																																										| (486)  ~ (all_0_97_97 = e1)
% 47.38/16.63  																																										| (1543) all_0_98_98 = e1
% 47.38/16.63  																																										|
% 47.38/16.63  																																											| Equations (1543) can reduce 13 to:
% 47.38/16.63  																																											| (481)  ~ (all_0_93_93 = e1)
% 47.38/16.63  																																											|
% 47.38/16.63  																																											| Equations (1543) can reduce 321 to:
% 47.38/16.63  																																											| (681)  ~ (e4 = e1)
% 47.38/16.63  																																											|
% 47.38/16.63  																																											| Simplifying 681 yields:
% 47.38/16.63  																																											| (256)  ~ (e4 = e1)
% 47.38/16.63  																																											|
% 47.38/16.63  																																											| Equations (1543) can reduce 2059 to:
% 47.38/16.63  																																											| (264)  ~ (e1 = e0)
% 47.38/16.63  																																											|
% 47.38/16.63  																																											+-Applying beta-rule and splitting (34882), into two cases.
% 47.38/16.63  																																											|-Branch one:
% 47.38/16.63  																																											| (610) all_0_97_97 = e4
% 47.38/16.63  																																											|
% 47.38/16.63  																																												| Equations (610) can reduce 527 to:
% 47.38/16.63  																																												| (79)  ~ (e4 = e2)
% 47.38/16.63  																																												|
% 47.38/16.63  																																												+-Applying beta-rule and splitting (565), into two cases.
% 47.38/16.63  																																												|-Branch one:
% 47.38/16.63  																																												| (566) all_0_93_93 = e1
% 47.38/16.63  																																												|
% 47.38/16.63  																																													| Equations (566) can reduce 481 to:
% 47.38/16.63  																																													| (311) $false
% 47.38/16.63  																																													|
% 47.38/16.63  																																													|-The branch is then unsatisfiable
% 47.38/16.63  																																												|-Branch two:
% 47.38/16.63  																																												| (481)  ~ (all_0_93_93 = e1)
% 47.38/16.63  																																												| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 47.38/16.63  																																												|
% 47.38/16.63  																																													+-Applying beta-rule and splitting (569), into two cases.
% 47.38/16.63  																																													|-Branch one:
% 47.38/16.63  																																													| (570) all_0_93_93 = e3
% 47.38/16.63  																																													|
% 47.38/16.63  																																														| Equations (570) can reduce 496 to:
% 47.38/16.63  																																														| (783)  ~ (e4 = e3)
% 47.38/16.63  																																														|
% 47.38/16.63  																																														| Simplifying 783 yields:
% 47.38/16.63  																																														| (177)  ~ (e4 = e3)
% 47.38/16.63  																																														|
% 47.38/16.63  																																														| Instantiating formula (262) with e2, e3, all_0_58_58, e1 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e1, yields:
% 47.38/16.63  																																														| (10941) all_0_58_58 = e1
% 47.38/16.63  																																														|
% 47.38/16.63  																																														| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 47.38/16.63  																																														| (10960) all_0_52_52 = e2
% 47.38/16.63  																																														|
% 47.38/16.63  																																														| Instantiating formula (262) with e2, e0, all_0_56_56, e0 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e0, yields:
% 47.38/16.63  																																														| (10959) all_0_56_56 = e0
% 47.38/16.63  																																														|
% 47.38/16.63  																																														+-Applying beta-rule and splitting (33), into two cases.
% 47.38/16.63  																																														|-Branch one:
% 47.38/16.63  																																														| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.38/16.63  																																														|
% 47.38/16.63  																																															+-Applying beta-rule and splitting (1686), into two cases.
% 47.38/16.63  																																															|-Branch one:
% 47.38/16.63  																																															| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.38/16.63  																																															|
% 47.38/16.63  																																																+-Applying beta-rule and splitting (1687), into two cases.
% 47.38/16.63  																																																|-Branch one:
% 47.38/16.63  																																																| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.38/16.63  																																																|
% 47.38/16.63  																																																	| Applying alpha-rule on (1688) yields:
% 47.38/16.63  																																																	| (1689) all_0_52_52 = e4
% 47.38/16.63  																																																	| (1690)  ~ (all_0_53_53 = e2)
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Combining equations (1689,10960) yields a new equation:
% 47.38/16.63  																																																	| (309) e4 = e2
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Simplifying 309 yields:
% 47.38/16.63  																																																	| (310) e4 = e2
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Equations (310) can reduce 79 to:
% 47.38/16.63  																																																	| (311) $false
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	|-The branch is then unsatisfiable
% 47.38/16.63  																																																|-Branch two:
% 47.38/16.63  																																																| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.38/16.63  																																																|
% 47.38/16.63  																																																	| Applying alpha-rule on (1694) yields:
% 47.38/16.63  																																																	| (1695) all_0_54_54 = e3
% 47.38/16.63  																																																	| (1696)  ~ (all_0_55_55 = e2)
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Combining equations (1647,1695) yields a new equation:
% 47.38/16.63  																																																	| (790) e4 = e3
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Simplifying 790 yields:
% 47.38/16.63  																																																	| (434) e4 = e3
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	| Equations (434) can reduce 177 to:
% 47.38/16.63  																																																	| (311) $false
% 47.38/16.63  																																																	|
% 47.38/16.63  																																																	|-The branch is then unsatisfiable
% 47.38/16.63  																																															|-Branch two:
% 47.38/16.63  																																															| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.38/16.63  																																															|
% 47.38/16.63  																																																| Applying alpha-rule on (1700) yields:
% 47.38/16.63  																																																| (1701) all_0_56_56 = e1
% 47.38/16.63  																																																| (1702)  ~ (all_0_57_57 = e2)
% 47.38/16.63  																																																|
% 47.38/16.63  																																																| Combining equations (1701,10959) yields a new equation:
% 47.38/16.63  																																																| (1107) e1 = e0
% 47.38/16.63  																																																|
% 47.38/16.63  																																																| Simplifying 1107 yields:
% 47.38/16.63  																																																| (865) e1 = e0
% 47.38/16.63  																																																|
% 47.38/16.63  																																																| Equations (865) can reduce 264 to:
% 47.38/16.63  																																																| (311) $false
% 47.38/16.63  																																																|
% 47.38/16.63  																																																|-The branch is then unsatisfiable
% 47.38/16.63  																																														|-Branch two:
% 47.38/16.63  																																														| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.38/16.63  																																														|
% 47.38/16.63  																																															| Applying alpha-rule on (4957) yields:
% 47.38/16.63  																																															| (4958) all_0_58_58 = e0
% 47.38/16.63  																																															| (4959)  ~ (all_0_59_59 = e2)
% 47.38/16.63  																																															|
% 47.38/16.63  																																															| Combining equations (4958,10941) yields a new equation:
% 47.38/16.63  																																															| (865) e1 = e0
% 47.38/16.63  																																															|
% 47.38/16.63  																																															| Equations (865) can reduce 264 to:
% 47.38/16.63  																																															| (311) $false
% 47.38/16.63  																																															|
% 47.38/16.63  																																															|-The branch is then unsatisfiable
% 47.38/16.63  																																													|-Branch two:
% 47.38/16.63  																																													| (602)  ~ (all_0_93_93 = e3)
% 47.38/16.63  																																													| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 47.38/16.63  																																													|
% 47.38/16.63  																																														+-Applying beta-rule and splitting (603), into two cases.
% 47.38/16.63  																																														|-Branch one:
% 47.38/16.63  																																														| (604) all_0_93_93 = e0
% 47.38/16.63  																																														|
% 47.38/16.63  																																															| Equations (604) can reduce 509 to:
% 47.38/16.63  																																															| (311) $false
% 47.38/16.63  																																															|
% 47.38/16.63  																																															|-The branch is then unsatisfiable
% 47.38/16.63  																																														|-Branch two:
% 47.38/16.63  																																														| (509)  ~ (all_0_93_93 = e0)
% 47.38/16.63  																																														| (607) all_0_93_93 = e4
% 47.38/16.63  																																														|
% 47.38/16.63  																																															| Equations (607) can reduce 496 to:
% 47.38/16.63  																																															| (311) $false
% 47.38/16.63  																																															|
% 47.38/16.63  																																															|-The branch is then unsatisfiable
% 47.38/16.63  																																											|-Branch two:
% 47.38/16.63  																																											| (319)  ~ (all_0_97_97 = e4)
% 47.38/16.63  																																											| (2650) all_0_98_98 = e4
% 47.38/16.63  																																											|
% 47.38/16.63  																																												| Combining equations (1543,2650) yields a new equation:
% 47.38/16.63  																																												| (814) e4 = e1
% 47.38/16.63  																																												|
% 47.38/16.63  																																												| Equations (814) can reduce 256 to:
% 47.38/16.63  																																												| (311) $false
% 47.38/16.63  																																												|
% 47.38/16.63  																																												|-The branch is then unsatisfiable
% 47.38/16.64  																																						|-Branch two:
% 47.38/16.64  																																						| (793)  ~ (all_0_82_82 = e3)
% 47.38/16.64  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.38/16.64  																																						|
% 47.38/16.64  																																							+-Applying beta-rule and splitting (282), into two cases.
% 47.38/16.64  																																							|-Branch one:
% 47.38/16.64  																																							| (754) all_0_90_90 = e3
% 47.38/16.64  																																							|
% 47.38/16.64  																																								| Combining equations (746,754) yields a new equation:
% 47.38/16.64  																																								| (548) e3 = e2
% 47.38/16.64  																																								|
% 47.38/16.64  																																								| Equations (548) can reduce 169 to:
% 47.38/16.64  																																								| (311) $false
% 47.38/16.64  																																								|
% 47.38/16.64  																																								|-The branch is then unsatisfiable
% 47.38/16.64  																																							|-Branch two:
% 47.38/16.64  																																							| (745)  ~ (all_0_90_90 = e3)
% 47.38/16.64  																																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.38/16.64  																																							|
% 47.38/16.64  																																								| Equations (746) can reduce 745 to:
% 47.38/16.64  																																								| (356)  ~ (e3 = e2)
% 47.38/16.64  																																								|
% 47.38/16.64  																																								| Simplifying 356 yields:
% 47.38/16.64  																																								| (169)  ~ (e3 = e2)
% 47.38/16.64  																																								|
% 47.38/16.64  																																								+-Applying beta-rule and splitting (250), into two cases.
% 47.38/16.64  																																								|-Branch one:
% 47.38/16.64  																																								| (635) all_0_81_81 = e3
% 47.38/16.64  																																								|
% 47.38/16.64  																																									| Combining equations (473,635) yields a new equation:
% 47.38/16.64  																																									| (548) e3 = e2
% 47.38/16.64  																																									|
% 47.38/16.64  																																									| Equations (548) can reduce 169 to:
% 47.38/16.64  																																									| (311) $false
% 47.38/16.64  																																									|
% 47.38/16.64  																																									|-The branch is then unsatisfiable
% 47.38/16.64  																																								|-Branch two:
% 47.38/16.64  																																								| (420)  ~ (all_0_81_81 = e3)
% 47.38/16.64  																																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.38/16.64  																																								|
% 47.38/16.64  																																									| Equations (473) can reduce 420 to:
% 47.38/16.64  																																									| (356)  ~ (e3 = e2)
% 47.38/16.64  																																									|
% 47.38/16.64  																																									| Simplifying 356 yields:
% 47.38/16.64  																																									| (169)  ~ (e3 = e2)
% 47.38/16.64  																																									|
% 47.38/16.64  																																									+-Applying beta-rule and splitting (220), into two cases.
% 47.38/16.64  																																									|-Branch one:
% 47.38/16.64  																																									| (771) all_0_78_78 = e3
% 47.38/16.64  																																									|
% 47.38/16.64  																																										| Combining equations (771,463) yields a new equation:
% 47.38/16.64  																																										| (434) e4 = e3
% 47.38/16.64  																																										|
% 47.38/16.64  																																										| Equations (434) can reduce 177 to:
% 47.38/16.64  																																										| (311) $false
% 47.38/16.64  																																										|
% 47.38/16.64  																																										|-The branch is then unsatisfiable
% 47.38/16.64  																																									|-Branch two:
% 47.38/16.64  																																									| (418)  ~ (all_0_78_78 = e3)
% 47.38/16.64  																																									| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.38/16.64  																																									|
% 47.38/16.64  																																										+-Applying beta-rule and splitting (775), into two cases.
% 47.38/16.64  																																										|-Branch one:
% 47.38/16.64  																																										| (789) all_0_82_82 = e3
% 47.38/16.64  																																										|
% 47.38/16.64  																																											| Equations (789) can reduce 793 to:
% 47.38/16.64  																																											| (311) $false
% 47.38/16.64  																																											|
% 47.38/16.64  																																											|-The branch is then unsatisfiable
% 47.38/16.64  																																										|-Branch two:
% 47.38/16.64  																																										| (793)  ~ (all_0_82_82 = e3)
% 47.38/16.64  																																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.38/16.64  																																										|
% 47.38/16.64  																																											+-Applying beta-rule and splitting (794), into two cases.
% 47.38/16.64  																																											|-Branch one:
% 47.38/16.64  																																											| (754) all_0_90_90 = e3
% 47.38/16.64  																																											|
% 47.38/16.64  																																												| Combining equations (746,754) yields a new equation:
% 47.38/16.64  																																												| (548) e3 = e2
% 47.38/16.64  																																												|
% 47.38/16.64  																																												| Equations (548) can reduce 169 to:
% 47.38/16.64  																																												| (311) $false
% 47.38/16.64  																																												|
% 47.38/16.64  																																												|-The branch is then unsatisfiable
% 47.38/16.64  																																											|-Branch two:
% 47.38/16.64  																																											| (745)  ~ (all_0_90_90 = e3)
% 47.38/16.64  																																											| (744) all_0_95_95 = e3
% 47.38/16.64  																																											|
% 47.38/16.64  																																												| Combining equations (858,744) yields a new equation:
% 47.38/16.64  																																												| (600) e3 = e0
% 47.38/16.64  																																												|
% 47.38/16.64  																																												| Equations (600) can reduce 50 to:
% 47.38/16.64  																																												| (311) $false
% 47.38/16.64  																																												|
% 47.38/16.64  																																												|-The branch is then unsatisfiable
% 47.38/16.64  																																	|-Branch two:
% 47.38/16.64  																																	| (461)  ~ (all_0_79_79 = e1)
% 47.38/16.64  																																	| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.38/16.64  																																	|
% 47.38/16.64  																																		+-Applying beta-rule and splitting (176), into two cases.
% 47.38/16.64  																																		|-Branch one:
% 47.38/16.64  																																		| (785) all_0_95_95 = e1
% 47.38/16.64  																																		|
% 47.38/16.64  																																			| Combining equations (785,858) yields a new equation:
% 47.38/16.64  																																			| (1107) e1 = e0
% 47.38/16.64  																																			|
% 47.38/16.64  																																			| Simplifying 1107 yields:
% 47.38/16.64  																																			| (865) e1 = e0
% 47.38/16.64  																																			|
% 47.38/16.64  																																			| Equations (865) can reduce 264 to:
% 47.38/16.64  																																			| (311) $false
% 47.38/16.64  																																			|
% 47.38/16.64  																																			|-The branch is then unsatisfiable
% 47.38/16.64  																																		|-Branch two:
% 47.38/16.64  																																		| (680)  ~ (all_0_95_95 = e1)
% 47.38/16.64  																																		| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 47.38/16.64  																																		|
% 47.38/16.64  																																			| Equations (858) can reduce 680 to:
% 47.38/16.64  																																			| (859)  ~ (e1 = e0)
% 47.38/16.64  																																			|
% 47.38/16.64  																																			| Simplifying 859 yields:
% 47.38/16.64  																																			| (264)  ~ (e1 = e0)
% 47.38/16.64  																																			|
% 47.38/16.64  																																			+-Applying beta-rule and splitting (462), into two cases.
% 47.38/16.64  																																			|-Branch one:
% 47.38/16.64  																																			| (801) all_0_91_91 = e1
% 47.38/16.64  																																			|
% 47.38/16.64  																																				| Combining equations (1456,801) yields a new equation:
% 47.38/16.64  																																				| (865) e1 = e0
% 47.38/16.64  																																				|
% 47.38/16.64  																																				| Equations (865) can reduce 264 to:
% 47.38/16.64  																																				| (311) $false
% 47.38/16.64  																																				|
% 47.38/16.64  																																				|-The branch is then unsatisfiable
% 47.38/16.64  																																			|-Branch two:
% 47.38/16.64  																																			| (959)  ~ (all_0_91_91 = e1)
% 47.38/16.64  																																			| (960) all_0_96_96 = e1
% 47.38/16.64  																																			|
% 47.38/16.64  																																				| Combining equations (960,778) yields a new equation:
% 47.38/16.64  																																				| (772) e3 = e1
% 47.38/16.64  																																				|
% 47.38/16.64  																																				| Equations (772) can reduce 20 to:
% 47.38/16.64  																																				| (311) $false
% 47.38/16.64  																																				|
% 47.38/16.64  																																				|-The branch is then unsatisfiable
% 47.38/16.64  																											|-Branch two:
% 47.38/16.64  																											| (840)  ~ (all_0_92_92 = e1)
% 47.38/16.64  																											| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 47.38/16.64  																											|
% 47.38/16.64  																												+-Applying beta-rule and splitting (3800), into two cases.
% 47.38/16.64  																												|-Branch one:
% 47.38/16.64  																												| (882) all_0_92_92 = e3
% 47.38/16.64  																												|
% 47.38/16.64  																													| Equations (882) can reduce 426 to:
% 47.38/16.64  																													| (311) $false
% 47.38/16.64  																													|
% 47.38/16.64  																													|-The branch is then unsatisfiable
% 47.38/16.64  																												|-Branch two:
% 47.38/16.64  																												| (426)  ~ (all_0_92_92 = e3)
% 47.38/16.64  																												| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 47.38/16.64  																												|
% 47.38/16.64  																													+-Applying beta-rule and splitting (16683), into two cases.
% 47.38/16.64  																													|-Branch one:
% 47.38/16.64  																													| (942) all_0_92_92 = e0
% 47.38/16.64  																													|
% 47.38/16.64  																														| Equations (942) can reduce 946 to:
% 47.38/16.64  																														| (311) $false
% 47.38/16.64  																														|
% 47.38/16.64  																														|-The branch is then unsatisfiable
% 47.38/16.64  																													|-Branch two:
% 47.38/16.64  																													| (946)  ~ (all_0_92_92 = e0)
% 47.38/16.64  																													| (442) all_0_92_92 = e4
% 47.38/16.64  																													|
% 47.38/16.64  																														| Equations (442) can reduce 1619 to:
% 47.38/16.64  																														| (311) $false
% 47.38/16.64  																														|
% 47.38/16.64  																														|-The branch is then unsatisfiable
% 47.38/16.64  																									|-Branch two:
% 47.38/16.64  																									| (893)  ~ (all_0_95_95 = e0)
% 47.38/16.64  																									| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.38/16.64  																									|
% 47.38/16.64  																										+-Applying beta-rule and splitting (1921), into two cases.
% 47.38/16.64  																										|-Branch one:
% 47.38/16.64  																										| (1837) all_0_96_96 = e0
% 47.38/16.64  																										|
% 47.38/16.64  																											| Equations (1837) can reduce 2095 to:
% 47.38/16.64  																											| (311) $false
% 47.38/16.64  																											|
% 47.38/16.64  																											|-The branch is then unsatisfiable
% 47.38/16.64  																										|-Branch two:
% 47.38/16.64  																										| (2095)  ~ (all_0_96_96 = e0)
% 47.38/16.64  																										| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.38/16.64  																										|
% 47.38/16.64  																											+-Applying beta-rule and splitting (2096), into two cases.
% 47.38/16.64  																											|-Branch one:
% 47.38/16.64  																											| (560) all_0_97_97 = e0
% 47.38/16.64  																											|
% 47.38/16.64  																												| Equations (560) can reduce 609 to:
% 47.38/16.64  																												| (311) $false
% 47.38/16.64  																												|
% 47.38/16.64  																												|-The branch is then unsatisfiable
% 47.38/16.64  																											|-Branch two:
% 47.38/16.64  																											| (609)  ~ (all_0_97_97 = e0)
% 47.38/16.64  																											| (1121) all_0_98_98 = e0
% 47.38/16.64  																											|
% 47.38/16.64  																												| Equations (1121) can reduce 2059 to:
% 47.38/16.64  																												| (311) $false
% 47.38/16.64  																												|
% 47.38/16.64  																												|-The branch is then unsatisfiable
% 47.38/16.64  																								|-Branch two:
% 47.38/16.64  																								| (1487)  ~ (all_0_91_91 = e0)
% 47.38/16.64  																								| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.38/16.64  																								|
% 47.38/16.64  																									+-Applying beta-rule and splitting (1488), into two cases.
% 47.38/16.64  																									|-Branch one:
% 47.38/16.64  																									| (942) all_0_92_92 = e0
% 47.38/16.64  																									|
% 47.38/16.64  																										| Equations (942) can reduce 946 to:
% 47.38/16.64  																										| (311) $false
% 47.38/16.64  																										|
% 47.38/16.64  																										|-The branch is then unsatisfiable
% 47.38/16.64  																									|-Branch two:
% 47.38/16.64  																									| (946)  ~ (all_0_92_92 = e0)
% 47.38/16.64  																									| (604) all_0_93_93 = e0
% 47.38/16.64  																									|
% 47.38/16.64  																										| Equations (604) can reduce 509 to:
% 47.38/16.64  																										| (311) $false
% 47.38/16.64  																										|
% 47.38/16.64  																										|-The branch is then unsatisfiable
% 47.38/16.64  																						|-Branch two:
% 47.38/16.64  																						| (294)  ~ (all_0_90_90 = e2)
% 47.38/16.64  																						| (30798) all_0_91_91 = e2 | all_0_92_92 = e2 | all_0_93_93 = e2
% 47.38/16.64  																						|
% 47.38/16.64  																							+-Applying beta-rule and splitting (119), into two cases.
% 47.38/16.64  																							|-Branch one:
% 47.38/16.64  																							| (1343) all_0_92_92 = e2
% 47.38/16.64  																							|
% 47.38/16.64  																								| Equations (1343) can reduce 298 to:
% 47.38/16.64  																								| (311) $false
% 47.38/16.64  																								|
% 47.38/16.64  																								|-The branch is then unsatisfiable
% 47.38/16.64  																							|-Branch two:
% 47.38/16.64  																							| (298)  ~ (all_0_92_92 = e2)
% 47.38/16.64  																							| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.38/16.64  																							|
% 47.38/16.64  																								+-Applying beta-rule and splitting (3735), into two cases.
% 47.38/16.64  																								|-Branch one:
% 47.38/16.64  																								| (836) all_0_92_92 = e1
% 47.38/16.64  																								|
% 47.38/16.64  																									| Equations (836) can reduce 298 to:
% 47.38/16.64  																									| (487)  ~ (e2 = e1)
% 47.38/16.64  																									|
% 47.38/16.64  																									| Simplifying 487 yields:
% 47.38/16.64  																									| (243)  ~ (e2 = e1)
% 47.38/16.64  																									|
% 47.38/16.64  																									+-Applying beta-rule and splitting (30798), into two cases.
% 47.38/16.64  																									|-Branch one:
% 47.38/16.64  																									| (1723) all_0_91_91 = e2
% 47.38/16.64  																									|
% 47.38/16.64  																										| Equations (1723) can reduce 296 to:
% 47.38/16.64  																										| (311) $false
% 47.38/16.64  																										|
% 47.38/16.64  																										|-The branch is then unsatisfiable
% 47.38/16.64  																									|-Branch two:
% 47.38/16.64  																									| (296)  ~ (all_0_91_91 = e2)
% 47.38/16.64  																									| (30802) all_0_92_92 = e2 | all_0_93_93 = e2
% 47.38/16.64  																									|
% 47.38/16.64  																										+-Applying beta-rule and splitting (30802), into two cases.
% 47.38/16.64  																										|-Branch one:
% 47.38/16.65  																										| (1343) all_0_92_92 = e2
% 47.38/16.65  																										|
% 47.38/16.65  																											| Combining equations (836,1343) yields a new equation:
% 47.38/16.65  																											| (385) e2 = e1
% 47.38/16.65  																											|
% 47.38/16.65  																											| Equations (385) can reduce 243 to:
% 47.38/16.65  																											| (311) $false
% 47.38/16.65  																											|
% 47.38/16.65  																											|-The branch is then unsatisfiable
% 47.38/16.65  																										|-Branch two:
% 47.38/16.65  																										| (298)  ~ (all_0_92_92 = e2)
% 47.38/16.65  																										| (522) all_0_93_93 = e2
% 47.38/16.65  																										|
% 47.38/16.65  																											| Equations (522) can reduce 300 to:
% 47.38/16.65  																											| (311) $false
% 47.38/16.65  																											|
% 47.38/16.65  																											|-The branch is then unsatisfiable
% 47.38/16.65  																								|-Branch two:
% 47.38/16.65  																								| (840)  ~ (all_0_92_92 = e1)
% 47.38/16.65  																								| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 47.38/16.65  																								|
% 47.38/16.65  																									+-Applying beta-rule and splitting (3800), into two cases.
% 47.38/16.65  																									|-Branch one:
% 47.38/16.65  																									| (882) all_0_92_92 = e3
% 47.38/16.65  																									|
% 47.38/16.65  																										| Equations (882) can reduce 426 to:
% 47.38/16.65  																										| (311) $false
% 47.38/16.65  																										|
% 47.38/16.65  																										|-The branch is then unsatisfiable
% 47.38/16.65  																									|-Branch two:
% 47.38/16.65  																									| (426)  ~ (all_0_92_92 = e3)
% 47.38/16.65  																									| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 47.38/16.65  																									|
% 47.38/16.65  																										+-Applying beta-rule and splitting (16683), into two cases.
% 47.38/16.65  																										|-Branch one:
% 47.38/16.65  																										| (942) all_0_92_92 = e0
% 47.38/16.65  																										|
% 47.38/16.65  																											| Equations (942) can reduce 946 to:
% 47.38/16.65  																											| (311) $false
% 47.38/16.65  																											|
% 47.38/16.65  																											|-The branch is then unsatisfiable
% 47.38/16.65  																										|-Branch two:
% 47.38/16.65  																										| (946)  ~ (all_0_92_92 = e0)
% 47.38/16.65  																										| (442) all_0_92_92 = e4
% 47.38/16.65  																										|
% 47.38/16.65  																											| Equations (442) can reduce 1619 to:
% 47.38/16.65  																											| (311) $false
% 47.38/16.65  																											|
% 47.38/16.65  																											|-The branch is then unsatisfiable
% 47.38/16.65  																				|-Branch two:
% 47.38/16.65  																				| (919)  ~ (all_0_84_84 = e0)
% 47.38/16.65  																				| (438) all_0_84_84 = e4
% 47.38/16.65  																				|
% 47.38/16.65  																					| Equations (438) can reduce 417 to:
% 47.38/16.65  																					| (311) $false
% 47.38/16.65  																					|
% 47.38/16.65  																					|-The branch is then unsatisfiable
% 47.38/16.65  																	|-Branch two:
% 47.38/16.65  																	| (640)  ~ (all_0_78_78 = e4)
% 47.38/16.65  																	| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.38/16.65  																	|
% 47.38/16.65  																		+-Applying beta-rule and splitting (641), into two cases.
% 47.38/16.65  																		|-Branch one:
% 47.38/16.65  																		| (433) all_0_80_80 = e4
% 47.38/16.65  																		|
% 47.38/16.65  																			| Combining equations (416,433) yields a new equation:
% 47.38/16.65  																			| (434) e4 = e3
% 47.38/16.65  																			|
% 47.38/16.65  																			| Equations (434) can reduce 177 to:
% 47.38/16.65  																			| (311) $false
% 47.38/16.65  																			|
% 47.38/16.65  																			|-The branch is then unsatisfiable
% 47.38/16.65  																		|-Branch two:
% 47.38/16.65  																		| (436)  ~ (all_0_80_80 = e4)
% 47.38/16.65  																		| (638) all_0_81_81 = e4
% 47.38/16.65  																		|
% 47.38/16.65  																			| Combining equations (473,638) yields a new equation:
% 47.38/16.65  																			| (310) e4 = e2
% 47.38/16.65  																			|
% 47.38/16.65  																			| Equations (310) can reduce 79 to:
% 47.38/16.65  																			| (311) $false
% 47.38/16.65  																			|
% 47.38/16.65  																			|-The branch is then unsatisfiable
% 47.38/16.65  										|-Branch two:
% 47.38/16.65  										| (398)  ~ (all_0_83_83 = e2)
% 47.38/16.65  										| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 47.38/16.65  										|
% 47.38/16.65  											+-Applying beta-rule and splitting (1627), into two cases.
% 47.38/16.65  											|-Branch one:
% 47.38/16.65  											| (453) all_0_83_83 = e2
% 47.38/16.65  											|
% 47.38/16.65  												| Equations (453) can reduce 398 to:
% 47.38/16.65  												| (311) $false
% 47.38/16.65  												|
% 47.38/16.65  												|-The branch is then unsatisfiable
% 47.38/16.65  											|-Branch two:
% 47.38/16.65  											| (398)  ~ (all_0_83_83 = e2)
% 47.38/16.65  											| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.38/16.65  											|
% 47.38/16.65  												+-Applying beta-rule and splitting (8061), into two cases.
% 47.38/16.65  												|-Branch one:
% 47.38/16.65  												| (1723) all_0_91_91 = e2
% 47.38/16.65  												|
% 47.38/16.65  													| Equations (1723) can reduce 103 to:
% 47.38/16.65  													| (294)  ~ (all_0_90_90 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Equations (1723) can reduce 265 to:
% 47.38/16.65  													| (297)  ~ (all_0_92_92 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Simplifying 297 yields:
% 47.38/16.65  													| (298)  ~ (all_0_92_92 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Equations (1723) can reduce 44 to:
% 47.38/16.65  													| (299)  ~ (all_0_93_93 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Simplifying 299 yields:
% 47.38/16.65  													| (300)  ~ (all_0_93_93 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Equations (1723) can reduce 64 to:
% 47.38/16.65  													| (1637)  ~ (all_0_96_96 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Simplifying 1637 yields:
% 47.38/16.65  													| (1638)  ~ (all_0_96_96 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Equations (1723) can reduce 133 to:
% 47.38/16.65  													| (528)  ~ (e4 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| Simplifying 528 yields:
% 47.38/16.65  													| (79)  ~ (e4 = e2)
% 47.38/16.65  													|
% 47.38/16.65  													| From (1723) and (120) follows:
% 47.38/16.65  													| (37227) op(e2, e2) = all_0_26_26
% 47.38/16.65  													|
% 47.38/16.65  													| From (1723) and (224) follows:
% 47.38/16.65  													| (37228) op(e2, e1) = all_0_25_25
% 47.38/16.65  													|
% 47.38/16.65  													| From (1723) and (222) follows:
% 47.38/16.65  													| (37229) op(e2, e2) = all_0_56_56
% 47.38/16.65  													|
% 47.38/16.65  													| Instantiating formula (262) with e2, e2, all_0_26_26, e4 and discharging atoms op(e2, e2) = all_0_26_26, op(e2, e2) = e4, yields:
% 47.38/16.65  													| (37232) all_0_26_26 = e4
% 47.38/16.65  													|
% 47.38/16.65  													| Instantiating formula (262) with e2, e2, all_0_56_56, all_0_26_26 and discharging atoms op(e2, e2) = all_0_26_26, op(e2, e2) = all_0_56_56, yields:
% 47.38/16.66  													| (37233) all_0_26_26 = all_0_56_56
% 47.38/16.66  													|
% 47.38/16.66  													| Instantiating formula (262) with e2, e1, all_0_25_25, e2 and discharging atoms op(e2, e1) = all_0_25_25, op(e2, e1) = e2, yields:
% 47.38/16.66  													| (37234) all_0_25_25 = e2
% 47.38/16.66  													|
% 47.38/16.66  													| Combining equations (37232,37233) yields a new equation:
% 47.38/16.66  													| (37236) all_0_56_56 = e4
% 47.38/16.66  													|
% 47.38/16.66  													| From (37234) and (37228) follows:
% 47.38/16.66  													| (9530) op(e2, e1) = e2
% 47.38/16.66  													|
% 47.38/16.66  													+-Applying beta-rule and splitting (219), into two cases.
% 47.38/16.66  													|-Branch one:
% 47.38/16.66  													| (798) all_0_83_83 = e0
% 47.38/16.66  													|
% 47.38/16.66  														| Equations (798) can reduce 272 to:
% 47.38/16.66  														| (9)  ~ (all_0_79_79 = e0)
% 47.38/16.66  														|
% 47.38/16.66  														| Equations (798) can reduce 226 to:
% 47.38/16.66  														| (799)  ~ (all_0_85_85 = e0)
% 47.38/16.66  														|
% 47.38/16.66  														| Simplifying 799 yields:
% 47.38/16.66  														| (800)  ~ (all_0_85_85 = e0)
% 47.38/16.66  														|
% 47.38/16.66  														| Equations (798) can reduce 211 to:
% 47.38/16.66  														| (2296)  ~ (all_0_96_96 = e0)
% 47.38/16.66  														|
% 47.38/16.66  														| Simplifying 2296 yields:
% 47.38/16.66  														| (2095)  ~ (all_0_96_96 = e0)
% 47.38/16.66  														|
% 47.38/16.66  														| From (798) and (206) follows:
% 47.38/16.66  														| (8092) op(e2, e0) = all_0_54_54
% 47.38/16.66  														|
% 47.38/16.66  														| Instantiating formula (262) with e2, e0, all_0_54_54, e0 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e0, yields:
% 47.38/16.66  														| (12243) all_0_54_54 = e0
% 47.38/16.66  														|
% 47.38/16.66  														+-Applying beta-rule and splitting (127), into two cases.
% 47.38/16.66  														|-Branch one:
% 47.38/16.66  														| (457) all_0_79_79 = e1
% 47.38/16.66  														|
% 47.38/16.66  															| Equations (457) can reduce 235 to:
% 47.38/16.66  															| (681)  ~ (e4 = e1)
% 47.38/16.66  															|
% 47.38/16.66  															| Simplifying 681 yields:
% 47.38/16.66  															| (256)  ~ (e4 = e1)
% 47.38/16.66  															|
% 47.38/16.66  															| Equations (457) can reduce 9 to:
% 47.38/16.66  															| (264)  ~ (e1 = e0)
% 47.38/16.66  															|
% 47.38/16.66  															| From (457) and (184) follows:
% 47.38/16.66  															| (1679) op(e2, e1) = all_0_52_52
% 47.38/16.66  															|
% 47.38/16.66  															+-Applying beta-rule and splitting (285), into two cases.
% 47.38/16.66  															|-Branch one:
% 47.38/16.66  															| (1708) all_0_79_79 = e3
% 47.38/16.66  															|
% 47.38/16.66  																| Combining equations (457,1708) yields a new equation:
% 47.38/16.66  																| (772) e3 = e1
% 47.38/16.66  																|
% 47.38/16.66  																| Equations (772) can reduce 20 to:
% 47.38/16.66  																| (311) $false
% 47.38/16.66  																|
% 47.38/16.66  																|-The branch is then unsatisfiable
% 47.38/16.66  															|-Branch two:
% 47.38/16.66  															| (1711)  ~ (all_0_79_79 = e3)
% 47.38/16.66  															| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.38/16.66  															|
% 47.38/16.66  																+-Applying beta-rule and splitting (1712), into two cases.
% 47.38/16.66  																|-Branch one:
% 47.38/16.66  																| (795) all_0_83_83 = e3
% 47.38/16.66  																|
% 47.38/16.66  																	| Combining equations (798,795) yields a new equation:
% 47.38/16.66  																	| (600) e3 = e0
% 47.38/16.66  																	|
% 47.38/16.66  																	| Equations (600) can reduce 50 to:
% 47.38/16.66  																	| (311) $false
% 47.38/16.66  																	|
% 47.38/16.66  																	|-The branch is then unsatisfiable
% 47.38/16.66  																|-Branch two:
% 47.38/16.66  																| (779)  ~ (all_0_83_83 = e3)
% 47.38/16.66  																| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.38/16.66  																|
% 47.38/16.66  																	+-Applying beta-rule and splitting (1842), into two cases.
% 47.38/16.66  																	|-Branch one:
% 47.38/16.66  																	| (588) all_0_91_91 = e3
% 47.38/16.66  																	|
% 47.38/16.66  																		| Combining equations (1723,588) yields a new equation:
% 47.38/16.66  																		| (548) e3 = e2
% 47.38/16.66  																		|
% 47.38/16.66  																		| Equations (548) can reduce 169 to:
% 47.38/16.66  																		| (311) $false
% 47.38/16.66  																		|
% 47.38/16.66  																		|-The branch is then unsatisfiable
% 47.38/16.66  																	|-Branch two:
% 47.38/16.66  																	| (571)  ~ (all_0_91_91 = e3)
% 47.38/16.66  																	| (778) all_0_96_96 = e3
% 47.38/16.66  																	|
% 47.38/16.66  																		| Equations (778) can reduce 2095 to:
% 47.38/16.66  																		| (50)  ~ (e3 = e0)
% 47.38/16.66  																		|
% 47.38/16.66  																		| From (778) and (212) follows:
% 47.38/16.66  																		| (10599) op(e2, e3) = all_0_58_58
% 47.38/16.66  																		|
% 47.38/16.66  																		| Instantiating formula (262) with e2, e3, all_0_58_58, e1 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e1, yields:
% 47.38/16.66  																		| (10941) all_0_58_58 = e1
% 47.38/16.66  																		|
% 47.38/16.66  																		| Instantiating formula (262) with e2, e1, all_0_52_52, e2 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e2, yields:
% 47.38/16.66  																		| (10960) all_0_52_52 = e2
% 47.38/16.66  																		|
% 47.38/16.66  																		+-Applying beta-rule and splitting (33), into two cases.
% 47.38/16.66  																		|-Branch one:
% 47.38/16.66  																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.38/16.66  																		|
% 47.38/16.66  																			+-Applying beta-rule and splitting (1686), into two cases.
% 47.38/16.66  																			|-Branch one:
% 47.38/16.66  																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.38/16.66  																			|
% 47.38/16.66  																				+-Applying beta-rule and splitting (1687), into two cases.
% 47.38/16.66  																				|-Branch one:
% 47.38/16.66  																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.38/16.66  																				|
% 47.38/16.66  																					| Applying alpha-rule on (1688) yields:
% 47.38/16.66  																					| (1689) all_0_52_52 = e4
% 47.38/16.66  																					| (1690)  ~ (all_0_53_53 = e2)
% 47.38/16.66  																					|
% 47.38/16.66  																					| Combining equations (10960,1689) yields a new equation:
% 47.38/16.66  																					| (310) e4 = e2
% 47.38/16.66  																					|
% 47.38/16.66  																					| Equations (310) can reduce 79 to:
% 47.38/16.66  																					| (311) $false
% 47.38/16.66  																					|
% 47.38/16.66  																					|-The branch is then unsatisfiable
% 47.38/16.66  																				|-Branch two:
% 47.38/16.66  																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.38/16.66  																				|
% 47.38/16.66  																					| Applying alpha-rule on (1694) yields:
% 47.38/16.66  																					| (1695) all_0_54_54 = e3
% 47.38/16.66  																					| (1696)  ~ (all_0_55_55 = e2)
% 47.38/16.66  																					|
% 47.38/16.67  																					| Combining equations (12243,1695) yields a new equation:
% 47.38/16.67  																					| (600) e3 = e0
% 47.38/16.67  																					|
% 47.38/16.67  																					| Equations (600) can reduce 50 to:
% 47.38/16.67  																					| (311) $false
% 47.38/16.67  																					|
% 47.38/16.67  																					|-The branch is then unsatisfiable
% 47.38/16.67  																			|-Branch two:
% 47.38/16.67  																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.38/16.67  																			|
% 47.38/16.67  																				| Applying alpha-rule on (1700) yields:
% 47.38/16.67  																				| (1701) all_0_56_56 = e1
% 47.38/16.67  																				| (1702)  ~ (all_0_57_57 = e2)
% 47.38/16.67  																				|
% 47.38/16.67  																				| Combining equations (37236,1701) yields a new equation:
% 47.38/16.67  																				| (813) e4 = e1
% 47.38/16.67  																				|
% 47.38/16.67  																				| Simplifying 813 yields:
% 47.38/16.67  																				| (814) e4 = e1
% 47.38/16.67  																				|
% 47.38/16.67  																				| Equations (814) can reduce 256 to:
% 47.38/16.67  																				| (311) $false
% 47.38/16.67  																				|
% 47.38/16.67  																				|-The branch is then unsatisfiable
% 47.38/16.67  																		|-Branch two:
% 47.38/16.67  																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.38/16.67  																		|
% 47.38/16.67  																			| Applying alpha-rule on (4957) yields:
% 47.38/16.67  																			| (4958) all_0_58_58 = e0
% 47.38/16.67  																			| (4959)  ~ (all_0_59_59 = e2)
% 47.38/16.67  																			|
% 47.38/16.67  																			| Combining equations (10941,4958) yields a new equation:
% 47.38/16.67  																			| (1107) e1 = e0
% 47.38/16.67  																			|
% 47.38/16.67  																			| Simplifying 1107 yields:
% 47.38/16.67  																			| (865) e1 = e0
% 47.38/16.67  																			|
% 47.38/16.67  																			| Equations (865) can reduce 264 to:
% 47.38/16.67  																			| (311) $false
% 47.38/16.67  																			|
% 47.38/16.67  																			|-The branch is then unsatisfiable
% 47.38/16.67  														|-Branch two:
% 47.38/16.67  														| (461)  ~ (all_0_79_79 = e1)
% 47.38/16.67  														| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.38/16.67  														|
% 47.38/16.67  															+-Applying beta-rule and splitting (462), into two cases.
% 47.38/16.67  															|-Branch one:
% 47.38/16.67  															| (801) all_0_91_91 = e1
% 47.38/16.67  															|
% 47.38/16.67  																| Combining equations (801,1723) yields a new equation:
% 47.38/16.67  																| (385) e2 = e1
% 47.38/16.67  																|
% 47.38/16.67  																| Equations (385) can reduce 243 to:
% 47.38/16.67  																| (311) $false
% 47.38/16.67  																|
% 47.38/16.67  																|-The branch is then unsatisfiable
% 47.38/16.67  															|-Branch two:
% 47.38/16.67  															| (959)  ~ (all_0_91_91 = e1)
% 47.38/16.67  															| (960) all_0_96_96 = e1
% 47.38/16.67  															|
% 47.38/16.67  																| Equations (960) can reduce 214 to:
% 47.38/16.67  																| (461)  ~ (all_0_79_79 = e1)
% 47.38/16.67  																|
% 47.38/16.67  																| Equations (960) can reduce 115 to:
% 47.38/16.67  																| (681)  ~ (e4 = e1)
% 47.38/16.67  																|
% 47.38/16.67  																| Simplifying 681 yields:
% 47.38/16.67  																| (256)  ~ (e4 = e1)
% 47.38/16.67  																|
% 47.38/16.67  																| Equations (960) can reduce 2095 to:
% 47.38/16.67  																| (264)  ~ (e1 = e0)
% 47.38/16.67  																|
% 47.38/16.67  																| From (960) and (212) follows:
% 47.38/16.67  																| (15809) op(e2, e1) = all_0_58_58
% 47.38/16.67  																|
% 47.38/16.67  																+-Applying beta-rule and splitting (285), into two cases.
% 47.38/16.67  																|-Branch one:
% 47.38/16.67  																| (1708) all_0_79_79 = e3
% 47.38/16.67  																|
% 47.38/16.67  																	| Combining equations (1708,30560) yields a new equation:
% 47.38/16.67  																	| (41164) all_0_41_41 = e3
% 47.38/16.67  																	|
% 47.38/16.67  																	| Equations (1708) can reduce 63 to:
% 47.38/16.67  																	| (3267)  ~ (all_0_80_80 = e3)
% 47.38/16.67  																	|
% 47.38/16.67  																	| Simplifying 3267 yields:
% 47.38/16.67  																	| (2347)  ~ (all_0_80_80 = e3)
% 47.38/16.67  																	|
% 47.38/16.67  																	| Equations (1708) can reduce 9 to:
% 47.38/16.67  																	| (50)  ~ (e3 = e0)
% 47.38/16.67  																	|
% 47.38/16.67  																	| From (1708) and (184) follows:
% 47.38/16.67  																	| (11003) op(e2, e3) = all_0_52_52
% 47.38/16.67  																	|
% 47.38/16.67  																	+-Applying beta-rule and splitting (70), into two cases.
% 47.38/16.67  																	|-Branch one:
% 47.38/16.67  																	| (400) all_0_78_78 = e2
% 47.38/16.67  																	|
% 47.38/16.67  																		| Equations (400) can reduce 193 to:
% 47.38/16.67  																		| (9974)  ~ (all_0_82_82 = e2)
% 47.38/16.67  																		|
% 47.38/16.67  																		| Simplifying 9974 yields:
% 47.38/16.67  																		| (347)  ~ (all_0_82_82 = e2)
% 47.38/16.67  																		|
% 47.38/16.67  																		| Equations (400) can reduce 86 to:
% 47.38/16.67  																		| (76)  ~ (e2 = e0)
% 47.38/16.67  																		|
% 47.38/16.67  																		| From (400) and (136) follows:
% 47.38/16.67  																		| (22936) op(e2, e3) = all_0_1_1
% 47.38/16.67  																		|
% 47.38/16.67  																		+-Applying beta-rule and splitting (41), into two cases.
% 47.38/16.67  																		|-Branch one:
% 47.38/16.67  																		| (530) all_0_82_82 = e2
% 47.38/16.67  																		|
% 47.38/16.67  																			| Equations (530) can reduce 347 to:
% 47.38/16.67  																			| (311) $false
% 47.38/16.67  																			|
% 47.38/16.67  																			|-The branch is then unsatisfiable
% 47.38/16.67  																		|-Branch two:
% 47.38/16.67  																		| (347)  ~ (all_0_82_82 = e2)
% 47.38/16.67  																		| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 47.38/16.67  																		|
% 47.38/16.67  																			+-Applying beta-rule and splitting (533), into two cases.
% 47.38/16.67  																			|-Branch one:
% 47.38/16.67  																			| (453) all_0_83_83 = e2
% 47.38/16.67  																			|
% 47.38/16.67  																				| Combining equations (798,453) yields a new equation:
% 47.38/16.67  																				| (379) e2 = e0
% 47.38/16.67  																				|
% 47.38/16.67  																				| Equations (379) can reduce 76 to:
% 47.38/16.67  																				| (311) $false
% 47.38/16.67  																				|
% 47.38/16.67  																				|-The branch is then unsatisfiable
% 47.38/16.67  																			|-Branch two:
% 47.38/16.67  																			| (398)  ~ (all_0_83_83 = e2)
% 47.38/16.67  																			| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 47.38/16.67  																			|
% 47.38/16.67  																				+-Applying beta-rule and splitting (537), into two cases.
% 47.38/16.67  																				|-Branch one:
% 47.38/16.67  																				| (552) all_0_84_84 = e2
% 47.38/16.67  																				|
% 47.38/16.67  																					| Equations (552) can reduce 612 to:
% 47.38/16.67  																					| (311) $false
% 47.38/16.67  																					|
% 47.38/16.67  																					|-The branch is then unsatisfiable
% 47.38/16.67  																				|-Branch two:
% 47.38/16.67  																				| (612)  ~ (all_0_84_84 = e2)
% 47.38/16.67  																				| (512) all_0_85_85 = e2
% 47.38/16.67  																				|
% 47.38/16.67  																					| Equations (512) can reduce 800 to:
% 47.38/16.67  																					| (76)  ~ (e2 = e0)
% 47.38/16.67  																					|
% 47.38/16.67  																					| From (512) and (12) follows:
% 47.38/16.67  																					| (37212) op(e2, e3) = all_0_13_13
% 47.38/16.67  																					|
% 47.38/16.67  																					| Instantiating formula (262) with e2, e3, all_0_13_13, e1 and discharging atoms op(e2, e3) = all_0_13_13, op(e2, e3) = e1, yields:
% 47.38/16.68  																					| (41189) all_0_13_13 = e1
% 47.38/16.68  																					|
% 47.38/16.68  																					| Instantiating formula (262) with e2, e3, all_0_13_13, all_0_1_1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_13_13, yields:
% 47.38/16.68  																					| (38132) all_0_1_1 = all_0_13_13
% 47.38/16.68  																					|
% 47.38/16.68  																					| Instantiating formula (262) with e2, e3, all_0_52_52, all_0_1_1 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_52_52, yields:
% 47.38/16.68  																					| (24396) all_0_1_1 = all_0_52_52
% 47.38/16.68  																					|
% 47.38/16.68  																					| Instantiating formula (262) with e2, e1, all_0_58_58, e2 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e2, yields:
% 47.38/16.68  																					| (15842) all_0_58_58 = e2
% 47.38/16.68  																					|
% 47.38/16.68  																					| Combining equations (38132,24396) yields a new equation:
% 47.38/16.68  																					| (41193) all_0_13_13 = all_0_52_52
% 47.38/16.68  																					|
% 47.38/16.68  																					| Simplifying 41193 yields:
% 47.38/16.68  																					| (41194) all_0_13_13 = all_0_52_52
% 47.38/16.68  																					|
% 47.38/16.68  																					| Combining equations (41189,41194) yields a new equation:
% 47.38/16.69  																					| (15841) all_0_52_52 = e1
% 47.38/16.69  																					|
% 47.38/16.69  																					+-Applying beta-rule and splitting (33), into two cases.
% 47.38/16.69  																					|-Branch one:
% 47.38/16.69  																					| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.38/16.69  																					|
% 47.38/16.69  																						+-Applying beta-rule and splitting (1686), into two cases.
% 47.38/16.69  																						|-Branch one:
% 47.38/16.69  																						| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.38/16.69  																						|
% 47.38/16.69  																							+-Applying beta-rule and splitting (1687), into two cases.
% 47.38/16.69  																							|-Branch one:
% 47.38/16.69  																							| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.38/16.69  																							|
% 47.38/16.69  																								| Applying alpha-rule on (1688) yields:
% 47.38/16.69  																								| (1689) all_0_52_52 = e4
% 47.38/16.69  																								| (1690)  ~ (all_0_53_53 = e2)
% 47.38/16.69  																								|
% 47.38/16.69  																								| Combining equations (15841,1689) yields a new equation:
% 47.38/16.69  																								| (814) e4 = e1
% 47.38/16.69  																								|
% 47.38/16.69  																								| Equations (814) can reduce 256 to:
% 47.38/16.69  																								| (311) $false
% 47.38/16.69  																								|
% 47.38/16.69  																								|-The branch is then unsatisfiable
% 47.38/16.69  																							|-Branch two:
% 47.38/16.69  																							| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.38/16.69  																							|
% 47.38/16.69  																								| Applying alpha-rule on (1694) yields:
% 47.38/16.69  																								| (1695) all_0_54_54 = e3
% 47.38/16.69  																								| (1696)  ~ (all_0_55_55 = e2)
% 47.38/16.69  																								|
% 47.38/16.69  																								| Combining equations (12243,1695) yields a new equation:
% 47.38/16.69  																								| (600) e3 = e0
% 47.38/16.69  																								|
% 47.38/16.69  																								| Equations (600) can reduce 50 to:
% 47.38/16.69  																								| (311) $false
% 47.38/16.69  																								|
% 47.38/16.69  																								|-The branch is then unsatisfiable
% 47.38/16.69  																						|-Branch two:
% 47.38/16.69  																						| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.38/16.69  																						|
% 47.38/16.69  																							| Applying alpha-rule on (1700) yields:
% 47.38/16.69  																							| (1701) all_0_56_56 = e1
% 47.38/16.69  																							| (1702)  ~ (all_0_57_57 = e2)
% 47.38/16.69  																							|
% 47.46/16.69  																							| Combining equations (37236,1701) yields a new equation:
% 47.46/16.69  																							| (813) e4 = e1
% 47.46/16.69  																							|
% 47.46/16.69  																							| Simplifying 813 yields:
% 47.46/16.69  																							| (814) e4 = e1
% 47.46/16.69  																							|
% 47.46/16.69  																							| Equations (814) can reduce 256 to:
% 47.46/16.69  																							| (311) $false
% 47.46/16.69  																							|
% 47.46/16.69  																							|-The branch is then unsatisfiable
% 47.46/16.69  																					|-Branch two:
% 47.46/16.69  																					| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.46/16.69  																					|
% 47.46/16.69  																						| Applying alpha-rule on (4957) yields:
% 47.46/16.69  																						| (4958) all_0_58_58 = e0
% 47.46/16.69  																						| (4959)  ~ (all_0_59_59 = e2)
% 47.46/16.69  																						|
% 47.46/16.69  																						| Combining equations (15842,4958) yields a new equation:
% 47.46/16.69  																						| (923) e2 = e0
% 47.46/16.69  																						|
% 47.46/16.69  																						| Simplifying 923 yields:
% 47.46/16.69  																						| (379) e2 = e0
% 47.46/16.69  																						|
% 47.46/16.69  																						| Equations (379) can reduce 76 to:
% 47.46/16.69  																						| (311) $false
% 47.46/16.69  																						|
% 47.46/16.69  																						|-The branch is then unsatisfiable
% 47.46/16.69  																	|-Branch two:
% 47.46/16.69  																	| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.69  																	| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.46/16.69  																	|
% 47.46/16.69  																		+-Applying beta-rule and splitting (403), into two cases.
% 47.46/16.69  																		|-Branch one:
% 47.46/16.69  																		| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.46/16.69  																		|
% 47.46/16.69  																			+-Applying beta-rule and splitting (404), into two cases.
% 47.46/16.69  																			|-Branch one:
% 47.46/16.69  																			| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.46/16.69  																			|
% 47.46/16.69  																				| Applying alpha-rule on (405) yields:
% 47.46/16.69  																				| (406) all_0_39_39 = e1
% 47.46/16.69  																				| (407)  ~ (all_0_40_40 = e4)
% 47.46/16.69  																				|
% 47.46/16.69  																				| Combining equations (30566,406) yields a new equation:
% 47.46/16.69  																				| (865) e1 = e0
% 47.46/16.69  																				|
% 47.46/16.69  																				| Equations (865) can reduce 264 to:
% 47.46/16.69  																				| (311) $false
% 47.46/16.69  																				|
% 47.46/16.69  																				|-The branch is then unsatisfiable
% 47.46/16.69  																			|-Branch two:
% 47.46/16.69  																			| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.46/16.69  																			|
% 47.46/16.69  																				| Applying alpha-rule on (411) yields:
% 47.46/16.69  																				| (337) all_0_41_41 = e0
% 47.46/16.69  																				| (413)  ~ (all_0_42_42 = e4)
% 47.46/16.69  																				|
% 47.46/16.69  																				| Combining equations (337,41164) yields a new equation:
% 47.46/16.69  																				| (600) e3 = e0
% 47.46/16.69  																				|
% 47.46/16.69  																				| Equations (600) can reduce 50 to:
% 47.46/16.69  																				| (311) $false
% 47.46/16.69  																				|
% 47.46/16.69  																				|-The branch is then unsatisfiable
% 47.46/16.69  																		|-Branch two:
% 47.46/16.69  																		| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.46/16.69  																		|
% 47.46/16.69  																			| Applying alpha-rule on (415) yields:
% 47.46/16.69  																			| (416) all_0_80_80 = e3
% 47.46/16.69  																			| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.69  																			|
% 47.46/16.69  																			| Equations (416) can reduce 2347 to:
% 47.46/16.69  																			| (311) $false
% 47.46/16.69  																			|
% 47.46/16.69  																			|-The branch is then unsatisfiable
% 47.46/16.69  																|-Branch two:
% 47.46/16.69  																| (1711)  ~ (all_0_79_79 = e3)
% 47.46/16.69  																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.46/16.69  																|
% 47.46/16.69  																	+-Applying beta-rule and splitting (1623), into two cases.
% 47.46/16.69  																	|-Branch one:
% 47.46/16.69  																	| (457) all_0_79_79 = e1
% 47.46/16.69  																	|
% 47.46/16.69  																		| Equations (457) can reduce 461 to:
% 47.46/16.69  																		| (311) $false
% 47.46/16.69  																		|
% 47.46/16.69  																		|-The branch is then unsatisfiable
% 47.46/16.69  																	|-Branch two:
% 47.46/16.69  																	| (461)  ~ (all_0_79_79 = e1)
% 47.46/16.69  																	| (1708) all_0_79_79 = e3
% 47.46/16.69  																	|
% 47.46/16.69  																		| Equations (1708) can reduce 1711 to:
% 47.46/16.69  																		| (311) $false
% 47.46/16.69  																		|
% 47.46/16.69  																		|-The branch is then unsatisfiable
% 47.46/16.69  													|-Branch two:
% 47.46/16.69  													| (1314)  ~ (all_0_83_83 = e0)
% 47.46/16.69  													| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.46/16.69  													|
% 47.46/16.69  														+-Applying beta-rule and splitting (456), into two cases.
% 47.46/16.69  														|-Branch one:
% 47.46/16.69  														| (795) all_0_83_83 = e3
% 47.46/16.69  														|
% 47.46/16.69  															| Equations (795) can reduce 272 to:
% 47.46/16.69  															| (1711)  ~ (all_0_79_79 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Equations (795) can reduce 116 to:
% 47.46/16.69  															| (793)  ~ (all_0_82_82 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Equations (795) can reduce 223 to:
% 47.46/16.69  															| (421)  ~ (all_0_84_84 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Simplifying 421 yields:
% 47.46/16.69  															| (422)  ~ (all_0_84_84 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Equations (795) can reduce 226 to:
% 47.46/16.69  															| (2358)  ~ (all_0_85_85 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Simplifying 2358 yields:
% 47.46/16.69  															| (952)  ~ (all_0_85_85 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Equations (795) can reduce 211 to:
% 47.46/16.69  															| (1300)  ~ (all_0_96_96 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| Simplifying 1300 yields:
% 47.46/16.69  															| (964)  ~ (all_0_96_96 = e3)
% 47.46/16.69  															|
% 47.46/16.69  															| From (795) and (29) follows:
% 47.46/16.70  															| (41255) op(e3, e3) = all_0_9_9
% 47.46/16.70  															|
% 47.46/16.70  															| From (795) and (234) follows:
% 47.46/16.70  															| (41256) op(e3, e2) = all_0_10_10
% 47.46/16.70  															|
% 47.46/16.70  															| From (795) and (163) follows:
% 47.46/16.70  															| (12239) op(e3, e3) = all_0_55_55
% 47.46/16.70  															|
% 47.46/16.70  															| From (795) and (174) follows:
% 47.46/16.70  															| (12240) op(e3, e2) = e3
% 47.46/16.70  															|
% 47.46/16.70  															+-Applying beta-rule and splitting (1623), into two cases.
% 47.46/16.70  															|-Branch one:
% 47.46/16.70  															| (457) all_0_79_79 = e1
% 47.46/16.70  															|
% 47.46/16.70  																| Combining equations (457,30560) yields a new equation:
% 47.46/16.70  																| (41260) all_0_41_41 = e1
% 47.46/16.70  																|
% 47.46/16.70  																| Equations (457) can reduce 66 to:
% 47.46/16.70  																| (1601)  ~ (all_0_78_78 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Equations (457) can reduce 63 to:
% 47.46/16.70  																| (1665)  ~ (all_0_80_80 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Simplifying 1665 yields:
% 47.46/16.70  																| (828)  ~ (all_0_80_80 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Equations (457) can reduce 15 to:
% 47.46/16.70  																| (1667)  ~ (all_0_81_81 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Simplifying 1667 yields:
% 47.46/16.70  																| (628)  ~ (all_0_81_81 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Equations (457) can reduce 214 to:
% 47.46/16.70  																| (1671)  ~ (all_0_96_96 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Simplifying 1671 yields:
% 47.46/16.70  																| (1479)  ~ (all_0_96_96 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Equations (457) can reduce 1711 to:
% 47.46/16.70  																| (683)  ~ (e3 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																| Simplifying 683 yields:
% 47.46/16.70  																| (20)  ~ (e3 = e1)
% 47.46/16.70  																|
% 47.46/16.70  																+-Applying beta-rule and splitting (84), into two cases.
% 47.46/16.70  																|-Branch one:
% 47.46/16.70  																| (1704) all_0_96_96 = e2
% 47.46/16.70  																|
% 47.46/16.70  																	| Equations (1704) can reduce 1638 to:
% 47.46/16.70  																	| (311) $false
% 47.46/16.70  																	|
% 47.46/16.70  																	|-The branch is then unsatisfiable
% 47.46/16.70  																|-Branch two:
% 47.46/16.70  																| (1638)  ~ (all_0_96_96 = e2)
% 47.46/16.70  																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.46/16.70  																|
% 47.46/16.70  																	+-Applying beta-rule and splitting (1707), into two cases.
% 47.46/16.70  																	|-Branch one:
% 47.46/16.70  																	| (960) all_0_96_96 = e1
% 47.46/16.70  																	|
% 47.46/16.70  																		| Equations (960) can reduce 1479 to:
% 47.46/16.70  																		| (311) $false
% 47.46/16.70  																		|
% 47.46/16.70  																		|-The branch is then unsatisfiable
% 47.46/16.70  																	|-Branch two:
% 47.46/16.70  																	| (1479)  ~ (all_0_96_96 = e1)
% 47.46/16.70  																	| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.46/16.70  																	|
% 47.46/16.70  																		+-Applying beta-rule and splitting (2016), into two cases.
% 47.46/16.70  																		|-Branch one:
% 47.46/16.70  																		| (778) all_0_96_96 = e3
% 47.46/16.70  																		|
% 47.46/16.70  																			| Equations (778) can reduce 964 to:
% 47.46/16.70  																			| (311) $false
% 47.46/16.70  																			|
% 47.46/16.70  																			|-The branch is then unsatisfiable
% 47.46/16.70  																		|-Branch two:
% 47.46/16.70  																		| (964)  ~ (all_0_96_96 = e3)
% 47.46/16.70  																		| (1837) all_0_96_96 = e0
% 47.46/16.70  																		|
% 47.46/16.70  																			| Equations (1837) can reduce 279 to:
% 47.46/16.70  																			| (893)  ~ (all_0_95_95 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Equations (1837) can reduce 22 to:
% 47.46/16.70  																			| (938)  ~ (all_0_97_97 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Simplifying 938 yields:
% 47.46/16.70  																			| (609)  ~ (all_0_97_97 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Equations (1837) can reduce 43 to:
% 47.46/16.70  																			| (2058)  ~ (all_0_98_98 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Simplifying 2058 yields:
% 47.46/16.70  																			| (2059)  ~ (all_0_98_98 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Equations (1837) can reduce 1638 to:
% 47.46/16.70  																			| (510)  ~ (e2 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Simplifying 510 yields:
% 47.46/16.70  																			| (76)  ~ (e2 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Equations (1837) can reduce 1479 to:
% 47.46/16.70  																			| (859)  ~ (e1 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| Simplifying 859 yields:
% 47.46/16.70  																			| (264)  ~ (e1 = e0)
% 47.46/16.70  																			|
% 47.46/16.70  																			| From (1837) and (58) follows:
% 47.46/16.70  																			| (41291) op(e0, e2) = all_0_35_35
% 47.46/16.70  																			|
% 47.46/16.70  																			| From (1837) and (59) follows:
% 47.46/16.70  																			| (4729) op(e0, e2) = e0
% 47.46/16.70  																			|
% 47.46/16.70  																			| Instantiating formula (262) with e3, e3, all_0_9_9, all_0_82_82 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = all_0_82_82, yields:
% 47.46/16.70  																			| (41293) all_0_9_9 = all_0_82_82
% 47.46/16.70  																			|
% 47.46/16.70  																			| Instantiating formula (262) with e3, e3, all_0_55_55, all_0_9_9 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = all_0_55_55, yields:
% 47.46/16.70  																			| (41294) all_0_9_9 = all_0_55_55
% 47.46/16.70  																			|
% 47.46/16.70  																			| Instantiating formula (262) with e3, e2, e3, all_0_10_10 and discharging atoms op(e3, e2) = all_0_10_10, op(e3, e2) = e3, yields:
% 47.46/16.70  																			| (23245) all_0_10_10 = e3
% 47.46/16.70  																			|
% 47.46/16.70  																			| Instantiating formula (262) with e0, e2, e0, all_0_35_35 and discharging atoms op(e0, e2) = all_0_35_35, op(e0, e2) = e0, yields:
% 47.46/16.71  																			| (23319) all_0_35_35 = e0
% 47.46/16.71  																			|
% 47.46/16.71  																			| Combining equations (41293,41294) yields a new equation:
% 47.46/16.71  																			| (41297) all_0_55_55 = all_0_82_82
% 47.46/16.71  																			|
% 47.46/16.71  																			| From (41297) and (12239) follows:
% 47.46/16.71  																			| (61) op(e3, e3) = all_0_82_82
% 47.46/16.71  																			|
% 47.46/16.71  																			| From (23245) and (41256) follows:
% 47.46/16.71  																			| (12240) op(e3, e2) = e3
% 47.46/16.71  																			|
% 47.46/16.71  																			| From (23319) and (41291) follows:
% 47.46/16.71  																			| (4729) op(e0, e2) = e0
% 47.46/16.71  																			|
% 47.46/16.71  																			+-Applying beta-rule and splitting (182), into two cases.
% 47.46/16.71  																			|-Branch one:
% 47.46/16.71  																			| (512) all_0_85_85 = e2
% 47.46/16.71  																			|
% 47.46/16.71  																				| Equations (512) can reduce 209 to:
% 47.46/16.71  																				| (347)  ~ (all_0_82_82 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Equations (512) can reduce 154 to:
% 47.46/16.71  																				| (612)  ~ (all_0_84_84 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Equations (512) can reduce 75 to:
% 47.46/16.71  																				| (1348)  ~ (all_0_98_98 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Simplifying 1348 yields:
% 47.46/16.71  																				| (1349)  ~ (all_0_98_98 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Equations (512) can reduce 952 to:
% 47.46/16.71  																				| (356)  ~ (e3 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Simplifying 356 yields:
% 47.46/16.71  																				| (169)  ~ (e3 = e2)
% 47.46/16.71  																				|
% 47.46/16.71  																				| Equations (512) can reduce 128 to:
% 47.46/16.71  																				| (243)  ~ (e2 = e1)
% 47.46/16.71  																				|
% 47.46/16.71  																				| From (512) and (8) follows:
% 47.46/16.71  																				| (11271) op(e3, e0) = e2
% 47.46/16.71  																				|
% 47.46/16.71  																				| From (512) and (26) follows:
% 47.46/16.71  																				| (1290) op(e0, e2) = all_0_71_71
% 47.46/16.71  																				|
% 47.46/16.71  																				+-Applying beta-rule and splitting (101), into two cases.
% 47.46/16.71  																				|-Branch one:
% 47.46/16.71  																				| (400) all_0_78_78 = e2
% 47.46/16.71  																				|
% 47.46/16.71  																					| Equations (400) can reduce 67 to:
% 47.46/16.71  																					| (393)  ~ (all_0_80_80 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Simplifying 393 yields:
% 47.46/16.71  																					| (394)  ~ (all_0_80_80 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Equations (400) can reduce 193 to:
% 47.46/16.71  																					| (9974)  ~ (all_0_82_82 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Simplifying 9974 yields:
% 47.46/16.71  																					| (347)  ~ (all_0_82_82 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Equations (400) can reduce 85 to:
% 47.46/16.71  																					| (293)  ~ (all_0_90_90 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Simplifying 293 yields:
% 47.46/16.71  																					| (294)  ~ (all_0_90_90 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Equations (400) can reduce 125 to:
% 47.46/16.71  																					| (354)  ~ (all_0_95_95 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Simplifying 354 yields:
% 47.46/16.71  																					| (355)  ~ (all_0_95_95 = e2)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Equations (400) can reduce 1601 to:
% 47.46/16.71  																					| (243)  ~ (e2 = e1)
% 47.46/16.71  																					|
% 47.46/16.71  																					| Equations (400) can reduce 86 to:
% 47.46/16.71  																					| (76)  ~ (e2 = e0)
% 47.46/16.71  																					|
% 47.46/16.71  																					| From (400) and (138) follows:
% 47.46/16.71  																					| (9983) op(e3, e2) = all_0_43_43
% 47.46/16.71  																					|
% 47.46/16.71  																					| Instantiating formula (262) with e3, e2, all_0_43_43, e3 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e3, yields:
% 47.46/16.71  																					| (41323) all_0_43_43 = e3
% 47.46/16.71  																					|
% 47.46/16.71  																					| Instantiating formula (262) with e0, e2, all_0_71_71, e0 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = e0, yields:
% 47.46/16.72  																					| (9860) all_0_71_71 = e0
% 47.46/16.72  																					|
% 47.46/16.72  																					+-Applying beta-rule and splitting (56), into two cases.
% 47.46/16.72  																					|-Branch one:
% 47.46/16.72  																					| (463) all_0_78_78 = e4
% 47.46/16.72  																					|
% 47.46/16.72  																						| Combining equations (400,463) yields a new equation:
% 47.46/16.72  																						| (310) e4 = e2
% 47.46/16.72  																						|
% 47.46/16.72  																						| Equations (310) can reduce 79 to:
% 47.46/16.72  																						| (311) $false
% 47.46/16.72  																						|
% 47.46/16.72  																						|-The branch is then unsatisfiable
% 47.46/16.72  																					|-Branch two:
% 47.46/16.72  																					| (640)  ~ (all_0_78_78 = e4)
% 47.46/16.72  																					| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.46/16.72  																					|
% 47.46/16.72  																						| Equations (400) can reduce 640 to:
% 47.46/16.72  																						| (528)  ~ (e4 = e2)
% 47.46/16.72  																						|
% 47.46/16.72  																						| Simplifying 528 yields:
% 47.46/16.72  																						| (79)  ~ (e4 = e2)
% 47.46/16.72  																						|
% 47.46/16.72  																						+-Applying beta-rule and splitting (109), into two cases.
% 47.46/16.72  																						|-Branch one:
% 47.46/16.72  																						| (469) all_0_82_82 = e4
% 47.46/16.72  																						|
% 47.46/16.72  																							| Equations (469) can reduce 7 to:
% 47.46/16.72  																							| (662)  ~ (all_0_84_84 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| Simplifying 662 yields:
% 47.46/16.72  																							| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| Equations (469) can reduce 255 to:
% 47.46/16.72  																							| (466)  ~ (all_0_90_90 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| Simplifying 466 yields:
% 47.46/16.72  																							| (467)  ~ (all_0_90_90 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| Equations (469) can reduce 200 to:
% 47.46/16.72  																							| (314)  ~ (all_0_95_95 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| Simplifying 314 yields:
% 47.46/16.72  																							| (315)  ~ (all_0_95_95 = e4)
% 47.46/16.72  																							|
% 47.46/16.72  																							| From (469) and (61) follows:
% 47.46/16.72  																							| (671) op(e3, e3) = e4
% 47.46/16.72  																							|
% 47.46/16.72  																							+-Applying beta-rule and splitting (92), into two cases.
% 47.46/16.72  																							|-Branch one:
% 47.46/16.72  																							| (552) all_0_84_84 = e2
% 47.46/16.72  																							|
% 47.46/16.72  																								| Equations (552) can reduce 612 to:
% 47.46/16.72  																								| (311) $false
% 47.46/16.72  																								|
% 47.46/16.72  																								|-The branch is then unsatisfiable
% 47.46/16.72  																							|-Branch two:
% 47.46/16.72  																							| (612)  ~ (all_0_84_84 = e2)
% 47.46/16.72  																							| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.46/16.72  																							|
% 47.46/16.72  																								+-Applying beta-rule and splitting (617), into two cases.
% 47.46/16.72  																								|-Branch one:
% 47.46/16.72  																								| (1265) all_0_84_84 = e3
% 47.46/16.72  																								|
% 47.46/16.72  																									| Equations (1265) can reduce 422 to:
% 47.46/16.72  																									| (311) $false
% 47.46/16.72  																									|
% 47.46/16.72  																									|-The branch is then unsatisfiable
% 47.46/16.72  																								|-Branch two:
% 47.46/16.72  																								| (422)  ~ (all_0_84_84 = e3)
% 47.46/16.72  																								| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.46/16.72  																								|
% 47.46/16.72  																									+-Applying beta-rule and splitting (1268), into two cases.
% 47.46/16.72  																									|-Branch one:
% 47.46/16.72  																									| (916) all_0_84_84 = e0
% 47.46/16.72  																									|
% 47.46/16.72  																										| Combining equations (916,13664) yields a new equation:
% 47.46/16.72  																										| (10066) all_0_46_46 = e0
% 47.46/16.72  																										|
% 47.46/16.72  																										| Equations (916) can reduce 417 to:
% 47.46/16.72  																										| (904)  ~ (e4 = e0)
% 47.46/16.72  																										|
% 47.46/16.72  																										| Simplifying 904 yields:
% 47.46/16.72  																										| (23)  ~ (e4 = e0)
% 47.46/16.72  																										|
% 47.46/16.72  																										| Equations (916) can reduce 259 to:
% 47.46/16.72  																										| (859)  ~ (e1 = e0)
% 47.46/16.72  																										|
% 47.46/16.72  																										| Simplifying 859 yields:
% 47.46/16.72  																										| (264)  ~ (e1 = e0)
% 47.46/16.72  																										|
% 47.46/16.72  																										+-Applying beta-rule and splitting (254), into two cases.
% 47.46/16.72  																										|-Branch one:
% 47.46/16.72  																										| (910) all_0_82_82 = e0
% 47.46/16.72  																										|
% 47.46/16.72  																											| Combining equations (469,910) yields a new equation:
% 47.46/16.72  																											| (911) e4 = e0
% 47.46/16.72  																											|
% 47.46/16.72  																											| Simplifying 911 yields:
% 47.46/16.72  																											| (912) e4 = e0
% 47.46/16.72  																											|
% 47.46/16.72  																											| Equations (912) can reduce 23 to:
% 47.46/16.72  																											| (311) $false
% 47.46/16.72  																											|
% 47.46/16.72  																											|-The branch is then unsatisfiable
% 47.46/16.72  																										|-Branch two:
% 47.46/16.72  																										| (914)  ~ (all_0_82_82 = e0)
% 47.46/16.72  																										| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.72  																										|
% 47.46/16.72  																											+-Applying beta-rule and splitting (291), into two cases.
% 47.46/16.72  																											|-Branch one:
% 47.46/16.72  																											| (758) all_0_90_90 = e0
% 47.46/16.72  																											|
% 47.46/16.72  																												| Equations (758) can reduce 229 to:
% 47.46/16.72  																												| (2712)  ~ (all_0_95_95 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| Simplifying 2712 yields:
% 47.46/16.72  																												| (893)  ~ (all_0_95_95 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| Equations (758) can reduce 467 to:
% 47.46/16.72  																												| (904)  ~ (e4 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| Simplifying 904 yields:
% 47.46/16.72  																												| (23)  ~ (e4 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| Equations (758) can reduce 294 to:
% 47.46/16.72  																												| (510)  ~ (e2 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| Simplifying 510 yields:
% 47.46/16.72  																												| (76)  ~ (e2 = e0)
% 47.46/16.72  																												|
% 47.46/16.72  																												| From (758) and (217) follows:
% 47.46/16.72  																												| (13796) op(e3, e0) = all_0_48_48
% 47.46/16.72  																												|
% 47.46/16.72  																												+-Applying beta-rule and splitting (99), into two cases.
% 47.46/16.72  																												|-Branch one:
% 47.46/16.72  																												| (767) all_0_95_95 = e2
% 47.46/16.72  																												|
% 47.46/16.72  																													| Equations (767) can reduce 355 to:
% 47.46/16.72  																													| (311) $false
% 47.46/16.72  																													|
% 47.46/16.72  																													|-The branch is then unsatisfiable
% 47.46/16.72  																												|-Branch two:
% 47.46/16.72  																												| (355)  ~ (all_0_95_95 = e2)
% 47.46/16.72  																												| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.46/16.72  																												|
% 47.46/16.72  																													+-Applying beta-rule and splitting (770), into two cases.
% 47.46/16.72  																													|-Branch one:
% 47.46/16.72  																													| (785) all_0_95_95 = e1
% 47.46/16.72  																													|
% 47.46/16.72  																														| Equations (785) can reduce 680 to:
% 47.46/16.72  																														| (311) $false
% 47.46/16.72  																														|
% 47.46/16.72  																														|-The branch is then unsatisfiable
% 47.46/16.72  																													|-Branch two:
% 47.46/16.72  																													| (680)  ~ (all_0_95_95 = e1)
% 47.46/16.72  																													| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.46/16.72  																													|
% 47.46/16.72  																														+-Applying beta-rule and splitting (853), into two cases.
% 47.46/16.72  																														|-Branch one:
% 47.46/16.72  																														| (744) all_0_95_95 = e3
% 47.46/16.72  																														|
% 47.46/16.72  																															| Equations (744) can reduce 315 to:
% 47.46/16.72  																															| (783)  ~ (e4 = e3)
% 47.46/16.72  																															|
% 47.46/16.72  																															| Simplifying 783 yields:
% 47.46/16.72  																															| (177)  ~ (e4 = e3)
% 47.46/16.72  																															|
% 47.46/16.72  																															| From (744) and (121) follows:
% 47.46/16.72  																															| (10297) op(e3, e3) = all_0_50_50
% 47.46/16.72  																															|
% 47.46/16.72  																															| Instantiating formula (262) with e3, e3, e4, all_0_50_50 and discharging atoms op(e3, e3) = all_0_50_50, op(e3, e3) = e4, yields:
% 47.46/16.72  																															| (10303) all_0_50_50 = e4
% 47.46/16.72  																															|
% 47.46/16.72  																															| Instantiating formula (262) with e3, e0, all_0_48_48, e2 and discharging atoms op(e3, e0) = all_0_48_48, op(e3, e0) = e2, yields:
% 47.46/16.72  																															| (33594) all_0_48_48 = e2
% 47.46/16.72  																															|
% 47.46/16.72  																															+-Applying beta-rule and splitting (186), into two cases.
% 47.46/16.72  																															|-Branch one:
% 47.46/16.72  																															| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.46/16.72  																															|
% 47.46/16.72  																																+-Applying beta-rule and splitting (726), into two cases.
% 47.46/16.72  																																|-Branch one:
% 47.46/16.72  																																| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.46/16.72  																																|
% 47.46/16.72  																																	+-Applying beta-rule and splitting (727), into two cases.
% 47.46/16.72  																																	|-Branch one:
% 47.46/16.72  																																	| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.46/16.72  																																	|
% 47.46/16.72  																																		| Applying alpha-rule on (728) yields:
% 47.46/16.72  																																		| (729) all_0_43_43 = e4
% 47.46/16.72  																																		| (730)  ~ (all_0_44_44 = e3)
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Combining equations (729,41323) yields a new equation:
% 47.46/16.72  																																		| (790) e4 = e3
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Simplifying 790 yields:
% 47.46/16.72  																																		| (434) e4 = e3
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Equations (434) can reduce 177 to:
% 47.46/16.72  																																		| (311) $false
% 47.46/16.72  																																		|
% 47.46/16.72  																																		|-The branch is then unsatisfiable
% 47.46/16.72  																																	|-Branch two:
% 47.46/16.72  																																	| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.46/16.72  																																	|
% 47.46/16.72  																																		| Applying alpha-rule on (734) yields:
% 47.46/16.72  																																		| (735) all_0_46_46 = e2
% 47.46/16.72  																																		| (736)  ~ (all_0_47_47 = e3)
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Combining equations (735,10066) yields a new equation:
% 47.46/16.72  																																		| (923) e2 = e0
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Simplifying 923 yields:
% 47.46/16.72  																																		| (379) e2 = e0
% 47.46/16.72  																																		|
% 47.46/16.72  																																		| Equations (379) can reduce 76 to:
% 47.46/16.72  																																		| (311) $false
% 47.46/16.72  																																		|
% 47.46/16.72  																																		|-The branch is then unsatisfiable
% 47.46/16.72  																																|-Branch two:
% 47.46/16.72  																																| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.46/16.72  																																|
% 47.46/16.72  																																	| Applying alpha-rule on (740) yields:
% 47.46/16.72  																																	| (741) all_0_48_48 = e1
% 47.46/16.72  																																	| (742)  ~ (all_0_49_49 = e3)
% 47.46/16.72  																																	|
% 47.46/16.72  																																	| Combining equations (741,33594) yields a new equation:
% 47.46/16.72  																																	| (385) e2 = e1
% 47.46/16.72  																																	|
% 47.46/16.72  																																	| Equations (385) can reduce 243 to:
% 47.46/16.72  																																	| (311) $false
% 47.46/16.72  																																	|
% 47.46/16.72  																																	|-The branch is then unsatisfiable
% 47.46/16.72  																															|-Branch two:
% 47.46/16.72  																															| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.46/16.72  																															|
% 47.46/16.72  																																| Applying alpha-rule on (973) yields:
% 47.46/16.72  																																| (974) all_0_50_50 = e0
% 47.46/16.72  																																| (975)  ~ (all_0_51_51 = e3)
% 47.46/16.72  																																|
% 47.46/16.72  																																| Combining equations (10303,974) yields a new equation:
% 47.46/16.72  																																| (911) e4 = e0
% 47.46/16.72  																																|
% 47.46/16.72  																																| Simplifying 911 yields:
% 47.46/16.72  																																| (912) e4 = e0
% 47.46/16.72  																																|
% 47.46/16.72  																																| Equations (912) can reduce 23 to:
% 47.46/16.72  																																| (311) $false
% 47.46/16.72  																																|
% 47.46/16.72  																																|-The branch is then unsatisfiable
% 47.46/16.72  																														|-Branch two:
% 47.46/16.72  																														| (765)  ~ (all_0_95_95 = e3)
% 47.46/16.72  																														| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.46/16.72  																														|
% 47.46/16.72  																															+-Applying beta-rule and splitting (857), into two cases.
% 47.46/16.72  																															|-Branch one:
% 47.46/16.72  																															| (858) all_0_95_95 = e0
% 47.46/16.72  																															|
% 47.46/16.72  																																| Equations (858) can reduce 893 to:
% 47.46/16.72  																																| (311) $false
% 47.46/16.72  																																|
% 47.46/16.72  																																|-The branch is then unsatisfiable
% 47.46/16.72  																															|-Branch two:
% 47.46/16.72  																															| (893)  ~ (all_0_95_95 = e0)
% 47.46/16.72  																															| (894) all_0_95_95 = e4
% 47.46/16.72  																															|
% 47.46/16.72  																																| Equations (894) can reduce 315 to:
% 47.46/16.72  																																| (311) $false
% 47.46/16.72  																																|
% 47.46/16.72  																																|-The branch is then unsatisfiable
% 47.46/16.72  																											|-Branch two:
% 47.46/16.72  																											| (762)  ~ (all_0_90_90 = e0)
% 47.46/16.72  																											| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.46/16.72  																											|
% 47.46/16.72  																												+-Applying beta-rule and splitting (915), into two cases.
% 47.46/16.72  																												|-Branch one:
% 47.46/16.72  																												| (378) all_0_86_86 = e0
% 47.46/16.72  																												|
% 47.46/16.72  																													| Combining equations (378,384) yields a new equation:
% 47.46/16.72  																													| (865) e1 = e0
% 47.46/16.72  																													|
% 47.46/16.72  																													| Equations (865) can reduce 264 to:
% 47.46/16.72  																													| (311) $false
% 47.46/16.72  																													|
% 47.46/16.72  																													|-The branch is then unsatisfiable
% 47.46/16.72  																												|-Branch two:
% 47.46/16.73  																												| (381)  ~ (all_0_86_86 = e0)
% 47.46/16.73  																												| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.73  																												|
% 47.46/16.73  																													+-Applying beta-rule and splitting (927), into two cases.
% 47.46/16.73  																													|-Branch one:
% 47.46/16.73  																													| (758) all_0_90_90 = e0
% 47.46/16.73  																													|
% 47.46/16.73  																														| Equations (758) can reduce 762 to:
% 47.46/16.73  																														| (311) $false
% 47.46/16.73  																														|
% 47.46/16.73  																														|-The branch is then unsatisfiable
% 47.46/16.73  																													|-Branch two:
% 47.46/16.73  																													| (762)  ~ (all_0_90_90 = e0)
% 47.46/16.73  																													| (858) all_0_95_95 = e0
% 47.46/16.73  																													|
% 47.46/16.73  																														| Equations (858) can reduce 893 to:
% 47.46/16.73  																														| (311) $false
% 47.46/16.73  																														|
% 47.46/16.73  																														|-The branch is then unsatisfiable
% 47.46/16.73  																									|-Branch two:
% 47.46/16.73  																									| (919)  ~ (all_0_84_84 = e0)
% 47.46/16.73  																									| (438) all_0_84_84 = e4
% 47.46/16.73  																									|
% 47.46/16.73  																										| Equations (438) can reduce 417 to:
% 47.46/16.73  																										| (311) $false
% 47.46/16.73  																										|
% 47.46/16.73  																										|-The branch is then unsatisfiable
% 47.46/16.73  																						|-Branch two:
% 47.46/16.73  																						| (465)  ~ (all_0_82_82 = e4)
% 47.46/16.73  																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.46/16.73  																						|
% 47.46/16.73  																							+-Applying beta-rule and splitting (4), into two cases.
% 47.46/16.73  																							|-Branch one:
% 47.46/16.73  																							| (463) all_0_78_78 = e4
% 47.46/16.73  																							|
% 47.46/16.73  																								| Combining equations (400,463) yields a new equation:
% 47.46/16.73  																								| (310) e4 = e2
% 47.46/16.73  																								|
% 47.46/16.73  																								| Equations (310) can reduce 79 to:
% 47.46/16.73  																								| (311) $false
% 47.46/16.73  																								|
% 47.46/16.73  																								|-The branch is then unsatisfiable
% 47.46/16.73  																							|-Branch two:
% 47.46/16.73  																							| (640)  ~ (all_0_78_78 = e4)
% 47.46/16.73  																							| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.46/16.73  																							|
% 47.46/16.73  																								| Equations (400) can reduce 640 to:
% 47.46/16.73  																								| (528)  ~ (e4 = e2)
% 47.46/16.73  																								|
% 47.46/16.73  																								| Simplifying 528 yields:
% 47.46/16.73  																								| (79)  ~ (e4 = e2)
% 47.46/16.73  																								|
% 47.46/16.73  																								+-Applying beta-rule and splitting (472), into two cases.
% 47.46/16.73  																								|-Branch one:
% 47.46/16.73  																								| (438) all_0_84_84 = e4
% 47.46/16.73  																								|
% 47.46/16.73  																									| Equations (438) can reduce 273 to:
% 47.46/16.73  																									| (436)  ~ (all_0_80_80 = e4)
% 47.46/16.73  																									|
% 47.46/16.73  																									| Equations (438) can reduce 7 to:
% 47.46/16.73  																									| (465)  ~ (all_0_82_82 = e4)
% 47.46/16.73  																									|
% 47.46/16.73  																									+-Applying beta-rule and splitting (249), into two cases.
% 47.46/16.73  																									|-Branch one:
% 47.46/16.73  																									| (910) all_0_82_82 = e0
% 47.46/16.73  																									|
% 47.46/16.73  																										| Equations (910) can reduce 465 to:
% 47.46/16.73  																										| (904)  ~ (e4 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Simplifying 904 yields:
% 47.46/16.73  																										| (23)  ~ (e4 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Equations (910) can reduce 793 to:
% 47.46/16.73  																										| (906)  ~ (e3 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Simplifying 906 yields:
% 47.46/16.73  																										| (50)  ~ (e3 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Equations (910) can reduce 347 to:
% 47.46/16.73  																										| (510)  ~ (e2 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Simplifying 510 yields:
% 47.46/16.73  																										| (76)  ~ (e2 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Equations (910) can reduce 198 to:
% 47.46/16.73  																										| (859)  ~ (e1 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										| Simplifying 859 yields:
% 47.46/16.73  																										| (264)  ~ (e1 = e0)
% 47.46/16.73  																										|
% 47.46/16.73  																										+-Applying beta-rule and splitting (27), into two cases.
% 47.46/16.73  																										|-Branch one:
% 47.46/16.73  																										| (746) all_0_90_90 = e2
% 47.46/16.73  																										|
% 47.46/16.73  																											| Equations (746) can reduce 294 to:
% 47.46/16.73  																											| (311) $false
% 47.46/16.73  																											|
% 47.46/16.73  																											|-The branch is then unsatisfiable
% 47.46/16.73  																										|-Branch two:
% 47.46/16.73  																										| (294)  ~ (all_0_90_90 = e2)
% 47.46/16.73  																										| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.46/16.73  																										|
% 47.46/16.73  																											+-Applying beta-rule and splitting (3625), into two cases.
% 47.46/16.73  																											|-Branch one:
% 47.46/16.73  																											| (469) all_0_82_82 = e4
% 47.46/16.73  																											|
% 47.46/16.73  																												| Combining equations (910,469) yields a new equation:
% 47.46/16.73  																												| (912) e4 = e0
% 47.46/16.73  																												|
% 47.46/16.73  																												| Equations (912) can reduce 23 to:
% 47.46/16.73  																												| (311) $false
% 47.46/16.73  																												|
% 47.46/16.73  																												|-The branch is then unsatisfiable
% 47.46/16.73  																											|-Branch two:
% 47.46/16.73  																											| (465)  ~ (all_0_82_82 = e4)
% 47.46/16.73  																											| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.46/16.73  																											|
% 47.46/16.73  																												| Equations (910) can reduce 465 to:
% 47.46/16.73  																												| (904)  ~ (e4 = e0)
% 47.46/16.73  																												|
% 47.46/16.73  																												| Simplifying 904 yields:
% 47.46/16.73  																												| (23)  ~ (e4 = e0)
% 47.46/16.73  																												|
% 47.46/16.73  																												+-Applying beta-rule and splitting (2), into two cases.
% 47.46/16.73  																												|-Branch one:
% 47.46/16.73  																												| (916) all_0_84_84 = e0
% 47.46/16.73  																												|
% 47.46/16.73  																													| Combining equations (438,916) yields a new equation:
% 47.46/16.73  																													| (911) e4 = e0
% 47.46/16.73  																													|
% 47.46/16.73  																													| Simplifying 911 yields:
% 47.46/16.73  																													| (912) e4 = e0
% 47.46/16.73  																													|
% 47.46/16.73  																													| Equations (912) can reduce 23 to:
% 47.46/16.73  																													| (311) $false
% 47.46/16.73  																													|
% 47.46/16.73  																													|-The branch is then unsatisfiable
% 47.46/16.73  																												|-Branch two:
% 47.46/16.73  																												| (919)  ~ (all_0_84_84 = e0)
% 47.46/16.73  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.46/16.73  																												|
% 47.46/16.73  																													+-Applying beta-rule and splitting (45), into two cases.
% 47.46/16.73  																													|-Branch one:
% 47.46/16.73  																													| (546) all_0_80_80 = e2
% 47.46/16.73  																													|
% 47.46/16.73  																														| Equations (546) can reduce 394 to:
% 47.46/16.73  																														| (311) $false
% 47.46/16.73  																														|
% 47.46/16.73  																														|-The branch is then unsatisfiable
% 47.46/16.73  																													|-Branch two:
% 47.46/16.73  																													| (394)  ~ (all_0_80_80 = e2)
% 47.46/16.73  																													| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.46/16.73  																													|
% 47.46/16.73  																														+-Applying beta-rule and splitting (920), into two cases.
% 47.46/16.73  																														|-Branch one:
% 47.46/16.73  																														| (861) all_0_87_87 = e0
% 47.46/16.73  																														|
% 47.46/16.73  																															| Combining equations (374,861) yields a new equation:
% 47.46/16.73  																															| (923) e2 = e0
% 47.46/16.73  																															|
% 47.46/16.73  																															| Simplifying 923 yields:
% 47.46/16.73  																															| (379) e2 = e0
% 47.46/16.73  																															|
% 47.46/16.73  																															| Equations (379) can reduce 76 to:
% 47.46/16.73  																															| (311) $false
% 47.46/16.73  																															|
% 47.46/16.73  																															|-The branch is then unsatisfiable
% 47.46/16.73  																														|-Branch two:
% 47.46/16.73  																														| (889)  ~ (all_0_87_87 = e0)
% 47.46/16.73  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.46/16.73  																														|
% 47.46/16.73  																															+-Applying beta-rule and splitting (931), into two cases.
% 47.46/16.73  																															|-Branch one:
% 47.46/16.73  																															| (942) all_0_92_92 = e0
% 47.46/16.73  																															|
% 47.46/16.73  																																| Equations (942) can reduce 258 to:
% 47.46/16.73  																																| (938)  ~ (all_0_97_97 = e0)
% 47.46/16.73  																																|
% 47.46/16.73  																																| Simplifying 938 yields:
% 47.46/16.73  																																| (609)  ~ (all_0_97_97 = e0)
% 47.46/16.73  																																|
% 47.46/16.73  																																| From (942) and (135) follows:
% 47.46/16.73  																																| (4548) op(e1, e1) = e0
% 47.46/16.73  																																|
% 47.46/16.73  																																+-Applying beta-rule and splitting (151), into two cases.
% 47.46/16.73  																																|-Branch one:
% 47.46/16.73  																																| (824) all_0_80_80 = e1
% 47.46/16.73  																																|
% 47.46/16.73  																																	| Equations (824) can reduce 828 to:
% 47.46/16.73  																																	| (311) $false
% 47.46/16.73  																																	|
% 47.46/16.73  																																	|-The branch is then unsatisfiable
% 47.46/16.73  																																|-Branch two:
% 47.46/16.73  																																| (828)  ~ (all_0_80_80 = e1)
% 47.46/16.73  																																| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.46/16.73  																																|
% 47.46/16.73  																																	+-Applying beta-rule and splitting (829), into two cases.
% 47.46/16.73  																																	|-Branch one:
% 47.46/16.73  																																	| (482) all_0_87_87 = e1
% 47.46/16.73  																																	|
% 47.46/16.73  																																		| Combining equations (482,374) yields a new equation:
% 47.46/16.73  																																		| (385) e2 = e1
% 47.46/16.73  																																		|
% 47.46/16.73  																																		| Equations (385) can reduce 243 to:
% 47.46/16.73  																																		| (311) $false
% 47.46/16.73  																																		|
% 47.46/16.73  																																		|-The branch is then unsatisfiable
% 47.46/16.73  																																	|-Branch two:
% 47.46/16.73  																																	| (625)  ~ (all_0_87_87 = e1)
% 47.46/16.73  																																	| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.46/16.73  																																	|
% 47.46/16.73  																																		+-Applying beta-rule and splitting (835), into two cases.
% 47.46/16.73  																																		|-Branch one:
% 47.46/16.73  																																		| (836) all_0_92_92 = e1
% 47.46/16.73  																																		|
% 47.46/16.73  																																			| Combining equations (942,836) yields a new equation:
% 47.46/16.73  																																			| (865) e1 = e0
% 47.46/16.73  																																			|
% 47.46/16.73  																																			| Equations (865) can reduce 264 to:
% 47.46/16.73  																																			| (311) $false
% 47.46/16.73  																																			|
% 47.46/16.73  																																			|-The branch is then unsatisfiable
% 47.46/16.73  																																		|-Branch two:
% 47.46/16.73  																																		| (840)  ~ (all_0_92_92 = e1)
% 47.46/16.73  																																		| (542) all_0_97_97 = e1
% 47.46/16.73  																																		|
% 47.46/16.73  																																			| Equations (542) can reduce 202 to:
% 47.46/16.73  																																			| (828)  ~ (all_0_80_80 = e1)
% 47.46/16.73  																																			|
% 47.46/16.73  																																			| Equations (542) can reduce 148 to:
% 47.46/16.73  																																			| (1803)  ~ (all_0_98_98 = e1)
% 47.46/16.73  																																			|
% 47.46/16.73  																																			| Simplifying 1803 yields:
% 47.46/16.73  																																			| (1804)  ~ (all_0_98_98 = e1)
% 47.46/16.73  																																			|
% 47.46/16.73  																																			| Equations (542) can reduce 609 to:
% 47.46/16.73  																																			| (264)  ~ (e1 = e0)
% 47.46/16.73  																																			|
% 47.46/16.73  																																			+-Applying beta-rule and splitting (108), into two cases.
% 47.46/16.73  																																			|-Branch one:
% 47.46/16.73  																																			| (477) all_0_81_81 = e1
% 47.46/16.73  																																			|
% 47.46/16.73  																																				| Equations (477) can reduce 628 to:
% 47.46/16.73  																																				| (311) $false
% 47.46/16.73  																																				|
% 47.46/16.73  																																				|-The branch is then unsatisfiable
% 47.46/16.73  																																			|-Branch two:
% 47.46/16.73  																																			| (628)  ~ (all_0_81_81 = e1)
% 47.46/16.73  																																			| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.46/16.73  																																			|
% 47.46/16.73  																																				+-Applying beta-rule and splitting (817), into two cases.
% 47.46/16.73  																																				|-Branch one:
% 47.46/16.73  																																				| (504) all_0_88_88 = e1
% 47.46/16.73  																																				|
% 47.46/16.73  																																					| Combining equations (504,507) yields a new equation:
% 47.46/16.73  																																					| (1107) e1 = e0
% 47.46/16.73  																																					|
% 47.46/16.73  																																					| Simplifying 1107 yields:
% 47.46/16.73  																																					| (865) e1 = e0
% 47.46/16.73  																																					|
% 47.46/16.73  																																					| Equations (865) can reduce 264 to:
% 47.46/16.73  																																					| (311) $false
% 47.46/16.73  																																					|
% 47.46/16.73  																																					|-The branch is then unsatisfiable
% 47.46/16.73  																																				|-Branch two:
% 47.46/16.73  																																				| (479)  ~ (all_0_88_88 = e1)
% 47.46/16.73  																																				| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.46/16.73  																																				|
% 47.46/16.73  																																					+-Applying beta-rule and splitting (897), into two cases.
% 47.46/16.73  																																					|-Branch one:
% 47.46/16.73  																																					| (566) all_0_93_93 = e1
% 47.46/16.73  																																					|
% 47.46/16.73  																																						| Equations (566) can reduce 34 to:
% 47.46/16.73  																																						| (678)  ~ (all_0_90_90 = e1)
% 47.46/16.73  																																						|
% 47.46/16.73  																																						| From (566) and (21) follows:
% 47.46/16.73  																																						| (14721) op(e1, e1) = all_0_76_76
% 47.46/16.73  																																						|
% 47.46/16.73  																																						+-Applying beta-rule and splitting (282), into two cases.
% 47.46/16.73  																																						|-Branch one:
% 47.46/16.73  																																						| (754) all_0_90_90 = e3
% 47.46/16.73  																																						|
% 47.46/16.73  																																							| Equations (754) can reduce 229 to:
% 47.46/16.73  																																							| (1070)  ~ (all_0_95_95 = e3)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							| Simplifying 1070 yields:
% 47.46/16.73  																																							| (765)  ~ (all_0_95_95 = e3)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							| Equations (754) can reduce 467 to:
% 47.46/16.73  																																							| (783)  ~ (e4 = e3)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							| Simplifying 783 yields:
% 47.46/16.73  																																							| (177)  ~ (e4 = e3)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							| Equations (754) can reduce 294 to:
% 47.46/16.73  																																							| (169)  ~ (e3 = e2)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							| Equations (754) can reduce 678 to:
% 47.46/16.73  																																							| (20)  ~ (e3 = e1)
% 47.46/16.73  																																							|
% 47.46/16.73  																																							+-Applying beta-rule and splitting (641), into two cases.
% 47.46/16.73  																																							|-Branch one:
% 47.46/16.73  																																							| (433) all_0_80_80 = e4
% 47.46/16.73  																																							|
% 47.46/16.73  																																								| Equations (433) can reduce 436 to:
% 47.46/16.73  																																								| (311) $false
% 47.46/16.73  																																								|
% 47.46/16.73  																																								|-The branch is then unsatisfiable
% 47.46/16.73  																																							|-Branch two:
% 47.46/16.73  																																							| (436)  ~ (all_0_80_80 = e4)
% 47.46/16.73  																																							| (638) all_0_81_81 = e4
% 47.46/16.73  																																							|
% 47.46/16.73  																																								| Equations (638) can reduce 144 to:
% 47.46/16.73  																																								| (436)  ~ (all_0_80_80 = e4)
% 47.46/16.73  																																								|
% 47.46/16.73  																																								| From (638) and (145) follows:
% 47.46/16.73  																																								| (30704) op(e0, e4) = all_0_69_69
% 47.46/16.73  																																								|
% 47.46/16.73  																																								+-Applying beta-rule and splitting (106), into two cases.
% 47.46/16.73  																																								|-Branch one:
% 47.46/16.73  																																								| (771) all_0_78_78 = e3
% 47.46/16.73  																																								|
% 47.46/16.73  																																									| Combining equations (771,400) yields a new equation:
% 47.46/16.73  																																									| (547) e3 = e2
% 47.46/16.73  																																									|
% 47.46/16.73  																																									| Simplifying 547 yields:
% 47.46/16.73  																																									| (548) e3 = e2
% 47.46/16.73  																																									|
% 47.46/16.73  																																									| Equations (548) can reduce 169 to:
% 47.46/16.73  																																									| (311) $false
% 47.46/16.73  																																									|
% 47.46/16.73  																																									|-The branch is then unsatisfiable
% 47.46/16.73  																																								|-Branch two:
% 47.46/16.73  																																								| (418)  ~ (all_0_78_78 = e3)
% 47.46/16.73  																																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.46/16.73  																																								|
% 47.46/16.73  																																									+-Applying beta-rule and splitting (1756), into two cases.
% 47.46/16.73  																																									|-Branch one:
% 47.46/16.73  																																									| (1708) all_0_79_79 = e3
% 47.46/16.73  																																									|
% 47.46/16.73  																																										| Combining equations (1708,457) yields a new equation:
% 47.46/16.73  																																										| (825) e3 = e1
% 47.46/16.73  																																										|
% 47.46/16.73  																																										| Simplifying 825 yields:
% 47.46/16.73  																																										| (772) e3 = e1
% 47.46/16.73  																																										|
% 47.46/16.73  																																										| Equations (772) can reduce 20 to:
% 47.46/16.73  																																										| (311) $false
% 47.46/16.73  																																										|
% 47.46/16.73  																																										|-The branch is then unsatisfiable
% 47.46/16.73  																																									|-Branch two:
% 47.46/16.73  																																									| (1711)  ~ (all_0_79_79 = e3)
% 47.46/16.73  																																									| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.46/16.73  																																									|
% 47.46/16.73  																																										+-Applying beta-rule and splitting (1768), into two cases.
% 47.46/16.73  																																										|-Branch one:
% 47.46/16.73  																																										| (416) all_0_80_80 = e3
% 47.46/16.73  																																										|
% 47.46/16.73  																																											| Equations (416) can reduce 436 to:
% 47.46/16.73  																																											| (783)  ~ (e4 = e3)
% 47.46/16.73  																																											|
% 47.46/16.73  																																											| Simplifying 783 yields:
% 47.46/16.73  																																											| (177)  ~ (e4 = e3)
% 47.46/16.73  																																											|
% 47.46/16.73  																																											| Equations (416) can reduce 394 to:
% 47.46/16.73  																																											| (169)  ~ (e3 = e2)
% 47.46/16.73  																																											|
% 47.46/16.73  																																											| Equations (416) can reduce 828 to:
% 47.46/16.73  																																											| (20)  ~ (e3 = e1)
% 47.46/16.73  																																											|
% 47.46/16.73  																																											+-Applying beta-rule and splitting (3629), into two cases.
% 47.46/16.73  																																											|-Branch one:
% 47.46/16.73  																																											| (583) all_0_90_90 = e4
% 47.46/16.73  																																											|
% 47.46/16.73  																																												| Combining equations (754,583) yields a new equation:
% 47.46/16.73  																																												| (434) e4 = e3
% 47.46/16.73  																																												|
% 47.46/16.73  																																												| Equations (434) can reduce 177 to:
% 47.46/16.73  																																												| (311) $false
% 47.46/16.73  																																												|
% 47.46/16.73  																																												|-The branch is then unsatisfiable
% 47.46/16.73  																																											|-Branch two:
% 47.46/16.73  																																											| (467)  ~ (all_0_90_90 = e4)
% 47.46/16.73  																																											| (894) all_0_95_95 = e4
% 47.46/16.73  																																											|
% 47.46/16.73  																																												| Equations (894) can reduce 765 to:
% 47.46/16.73  																																												| (177)  ~ (e4 = e3)
% 47.46/16.73  																																												|
% 47.46/16.73  																																												| Equations (894) can reduce 355 to:
% 47.46/16.73  																																												| (79)  ~ (e4 = e2)
% 47.46/16.73  																																												|
% 47.46/16.73  																																												| From (894) and (280) follows:
% 47.46/16.73  																																												| (39232) op(e0, e4) = all_0_51_51
% 47.46/16.73  																																												|
% 47.46/16.73  																																												+-Applying beta-rule and splitting (250), into two cases.
% 47.46/16.73  																																												|-Branch one:
% 47.46/16.73  																																												| (635) all_0_81_81 = e3
% 47.46/16.73  																																												|
% 47.46/16.73  																																													| Combining equations (635,638) yields a new equation:
% 47.46/16.73  																																													| (434) e4 = e3
% 47.46/16.73  																																													|
% 47.46/16.73  																																													| Equations (434) can reduce 177 to:
% 47.46/16.73  																																													| (311) $false
% 47.46/16.73  																																													|
% 47.46/16.73  																																													|-The branch is then unsatisfiable
% 47.46/16.73  																																												|-Branch two:
% 47.46/16.73  																																												| (420)  ~ (all_0_81_81 = e3)
% 47.46/16.73  																																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.46/16.73  																																												|
% 47.46/16.73  																																													+-Applying beta-rule and splitting (4488), into two cases.
% 47.46/16.73  																																													|-Branch one:
% 47.46/16.73  																																													| (804) all_0_85_85 = e3
% 47.46/16.73  																																													|
% 47.46/16.73  																																														| Combining equations (512,804) yields a new equation:
% 47.46/16.73  																																														| (548) e3 = e2
% 47.46/16.73  																																														|
% 47.46/16.73  																																														| Equations (548) can reduce 169 to:
% 47.46/16.73  																																														| (311) $false
% 47.46/16.73  																																														|
% 47.46/16.73  																																														|-The branch is then unsatisfiable
% 47.46/16.73  																																													|-Branch two:
% 47.46/16.73  																																													| (952)  ~ (all_0_85_85 = e3)
% 47.46/16.73  																																													| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.46/16.73  																																													|
% 47.46/16.73  																																														+-Applying beta-rule and splitting (4559), into two cases.
% 47.46/16.73  																																														|-Branch one:
% 47.46/16.73  																																														| (570) all_0_93_93 = e3
% 47.46/16.73  																																														|
% 47.46/16.73  																																															| Combining equations (566,570) yields a new equation:
% 47.46/16.73  																																															| (772) e3 = e1
% 47.46/16.73  																																															|
% 47.46/16.73  																																															| Equations (772) can reduce 20 to:
% 47.46/16.73  																																															| (311) $false
% 47.46/16.73  																																															|
% 47.46/16.73  																																															|-The branch is then unsatisfiable
% 47.46/16.73  																																														|-Branch two:
% 47.46/16.73  																																														| (602)  ~ (all_0_93_93 = e3)
% 47.46/16.73  																																														| (969) all_0_98_98 = e3
% 47.46/16.73  																																														|
% 47.46/16.73  																																															| Combining equations (969,1370) yields a new equation:
% 47.46/16.73  																																															| (17845) all_0_73_73 = e3
% 47.46/16.73  																																															|
% 47.46/16.73  																																															| Equations (969) can reduce 1349 to:
% 47.46/16.73  																																															| (169)  ~ (e3 = e2)
% 47.46/16.73  																																															|
% 47.46/16.73  																																															| Equations (969) can reduce 2059 to:
% 47.46/16.73  																																															| (50)  ~ (e3 = e0)
% 47.46/16.73  																																															|
% 47.46/16.73  																																															| Instantiating formula (262) with e1, e1, e0, all_0_76_76 and discharging atoms op(e1, e1) = all_0_76_76, op(e1, e1) = e0, yields:
% 47.46/16.74  																																															| (8960) all_0_76_76 = e0
% 47.46/16.74  																																															|
% 47.46/16.74  																																															| Instantiating formula (262) with e0, e4, all_0_51_51, e2 and discharging atoms op(e0, e4) = all_0_51_51, op(e0, e4) = e2, yields:
% 47.46/16.74  																																															| (27448) all_0_51_51 = e2
% 47.46/16.74  																																															|
% 47.46/16.74  																																															| Instantiating formula (262) with e0, e4, all_0_69_69, all_0_51_51 and discharging atoms op(e0, e4) = all_0_51_51, op(e0, e4) = all_0_69_69, yields:
% 47.46/16.74  																																															| (15962) all_0_51_51 = all_0_69_69
% 47.46/16.74  																																															|
% 47.46/16.74  																																															| Combining equations (27448,15962) yields a new equation:
% 47.46/16.74  																																															| (18072) all_0_69_69 = e2
% 47.46/16.74  																																															|
% 47.46/16.74  																																															+-Applying beta-rule and splitting (89), into two cases.
% 47.46/16.74  																																															|-Branch one:
% 47.46/16.74  																																															| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.46/16.74  																																															|
% 47.46/16.74  																																																+-Applying beta-rule and splitting (1373), into two cases.
% 47.46/16.74  																																																|-Branch one:
% 47.46/16.74  																																																| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.46/16.74  																																																|
% 47.46/16.74  																																																	+-Applying beta-rule and splitting (1374), into two cases.
% 47.46/16.74  																																																	|-Branch one:
% 47.46/16.74  																																																	| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																		| Applying alpha-rule on (1375) yields:
% 47.46/16.74  																																																		| (1376) all_0_69_69 = e4
% 47.46/16.74  																																																		| (1377)  ~ (all_0_70_70 = e0)
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		| Combining equations (1376,18072) yields a new equation:
% 47.46/16.74  																																																		| (309) e4 = e2
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		| Simplifying 309 yields:
% 47.46/16.74  																																																		| (310) e4 = e2
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		| Equations (310) can reduce 79 to:
% 47.46/16.74  																																																		| (311) $false
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		|-The branch is then unsatisfiable
% 47.46/16.74  																																																	|-Branch two:
% 47.46/16.74  																																																	| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																		| Applying alpha-rule on (1379) yields:
% 47.46/16.74  																																																		| (1380) all_0_71_71 = e3
% 47.46/16.74  																																																		| (1381)  ~ (all_0_72_72 = e0)
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		| Combining equations (9860,1380) yields a new equation:
% 47.46/16.74  																																																		| (600) e3 = e0
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		| Equations (600) can reduce 50 to:
% 47.46/16.74  																																																		| (311) $false
% 47.46/16.74  																																																		|
% 47.46/16.74  																																																		|-The branch is then unsatisfiable
% 47.46/16.74  																																																|-Branch two:
% 47.46/16.74  																																																| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.46/16.74  																																																|
% 47.46/16.74  																																																	| Applying alpha-rule on (1385) yields:
% 47.46/16.74  																																																	| (1386) all_0_73_73 = e2
% 47.46/16.74  																																																	| (1387)  ~ (all_0_74_74 = e0)
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																	| Combining equations (17845,1386) yields a new equation:
% 47.46/16.74  																																																	| (547) e3 = e2
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																	| Simplifying 547 yields:
% 47.46/16.74  																																																	| (548) e3 = e2
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																	| Equations (548) can reduce 169 to:
% 47.46/16.74  																																																	| (311) $false
% 47.46/16.74  																																																	|
% 47.46/16.74  																																																	|-The branch is then unsatisfiable
% 47.46/16.74  																																															|-Branch two:
% 47.46/16.74  																																															| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.46/16.74  																																															|
% 47.46/16.74  																																																| Applying alpha-rule on (1391) yields:
% 47.46/16.74  																																																| (1392) all_0_75_75 = e1
% 47.46/16.74  																																																| (1393)  ~ (all_0_76_76 = e0)
% 47.46/16.74  																																																|
% 47.46/16.74  																																																| Equations (8960) can reduce 1393 to:
% 47.46/16.74  																																																| (311) $false
% 47.46/16.74  																																																|
% 47.46/16.74  																																																|-The branch is then unsatisfiable
% 47.46/16.74  																																										|-Branch two:
% 47.46/16.74  																																										| (2347)  ~ (all_0_80_80 = e3)
% 47.46/16.74  																																										| (635) all_0_81_81 = e3
% 47.46/16.74  																																										|
% 47.46/16.74  																																											| Combining equations (635,638) yields a new equation:
% 47.46/16.74  																																											| (434) e4 = e3
% 47.46/16.74  																																											|
% 47.46/16.74  																																											| Equations (434) can reduce 177 to:
% 47.46/16.74  																																											| (311) $false
% 47.46/16.74  																																											|
% 47.46/16.74  																																											|-The branch is then unsatisfiable
% 47.46/16.74  																																						|-Branch two:
% 47.46/16.74  																																						| (745)  ~ (all_0_90_90 = e3)
% 47.46/16.74  																																						| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.46/16.74  																																						|
% 47.46/16.74  																																							+-Applying beta-rule and splitting (220), into two cases.
% 47.46/16.74  																																							|-Branch one:
% 47.46/16.74  																																							| (771) all_0_78_78 = e3
% 47.46/16.74  																																							|
% 47.46/16.74  																																								| Combining equations (771,400) yields a new equation:
% 47.46/16.74  																																								| (547) e3 = e2
% 47.46/16.74  																																								|
% 47.46/16.74  																																								| Simplifying 547 yields:
% 47.46/16.74  																																								| (548) e3 = e2
% 47.46/16.74  																																								|
% 47.46/16.74  																																								| Equations (548) can reduce 169 to:
% 47.46/16.74  																																								| (311) $false
% 47.46/16.74  																																								|
% 47.46/16.74  																																								|-The branch is then unsatisfiable
% 47.46/16.74  																																							|-Branch two:
% 47.46/16.74  																																							| (418)  ~ (all_0_78_78 = e3)
% 47.46/16.74  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.46/16.74  																																							|
% 47.46/16.74  																																								| Equations (400) can reduce 418 to:
% 47.46/16.74  																																								| (356)  ~ (e3 = e2)
% 47.46/16.74  																																								|
% 47.46/16.74  																																								| Simplifying 356 yields:
% 47.46/16.74  																																								| (169)  ~ (e3 = e2)
% 47.46/16.74  																																								|
% 47.46/16.74  																																								+-Applying beta-rule and splitting (849), into two cases.
% 47.46/16.74  																																								|-Branch one:
% 47.46/16.74  																																								| (588) all_0_91_91 = e3
% 47.46/16.74  																																								|
% 47.46/16.74  																																									| Combining equations (588,1723) yields a new equation:
% 47.46/16.74  																																									| (547) e3 = e2
% 47.46/16.74  																																									|
% 47.46/16.74  																																									| Simplifying 547 yields:
% 47.46/16.74  																																									| (548) e3 = e2
% 47.46/16.74  																																									|
% 47.46/16.74  																																									| Equations (548) can reduce 169 to:
% 47.46/16.74  																																									| (311) $false
% 47.46/16.74  																																									|
% 47.46/16.74  																																									|-The branch is then unsatisfiable
% 47.46/16.74  																																								|-Branch two:
% 47.46/16.74  																																								| (571)  ~ (all_0_91_91 = e3)
% 47.46/16.74  																																								| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.46/16.74  																																								|
% 47.46/16.74  																																									+-Applying beta-rule and splitting (881), into two cases.
% 47.46/16.74  																																									|-Branch one:
% 47.46/16.74  																																									| (882) all_0_92_92 = e3
% 47.46/16.74  																																									|
% 47.46/16.74  																																										| Combining equations (942,882) yields a new equation:
% 47.46/16.74  																																										| (600) e3 = e0
% 47.46/16.74  																																										|
% 47.46/16.74  																																										| Equations (600) can reduce 50 to:
% 47.46/16.74  																																										| (311) $false
% 47.46/16.74  																																										|
% 47.46/16.74  																																										|-The branch is then unsatisfiable
% 47.46/16.74  																																									|-Branch two:
% 47.46/16.74  																																									| (426)  ~ (all_0_92_92 = e3)
% 47.46/16.74  																																									| (570) all_0_93_93 = e3
% 47.46/16.74  																																									|
% 47.46/16.74  																																										| Combining equations (566,570) yields a new equation:
% 47.46/16.74  																																										| (772) e3 = e1
% 47.46/16.74  																																										|
% 47.46/16.74  																																										| Equations (772) can reduce 20 to:
% 47.46/16.74  																																										| (311) $false
% 47.46/16.74  																																										|
% 47.46/16.74  																																										|-The branch is then unsatisfiable
% 47.46/16.74  																																					|-Branch two:
% 47.46/16.74  																																					| (481)  ~ (all_0_93_93 = e1)
% 47.46/16.74  																																					| (1543) all_0_98_98 = e1
% 47.46/16.74  																																					|
% 47.46/16.74  																																						| Equations (1543) can reduce 1804 to:
% 47.46/16.74  																																						| (311) $false
% 47.46/16.74  																																						|
% 47.46/16.74  																																						|-The branch is then unsatisfiable
% 47.46/16.74  																															|-Branch two:
% 47.46/16.74  																															| (946)  ~ (all_0_92_92 = e0)
% 47.46/16.74  																															| (560) all_0_97_97 = e0
% 47.46/16.74  																															|
% 47.46/16.74  																																| Equations (560) can reduce 609 to:
% 47.46/16.74  																																| (311) $false
% 47.46/16.74  																																|
% 47.46/16.74  																																|-The branch is then unsatisfiable
% 47.46/16.74  																									|-Branch two:
% 47.46/16.74  																									| (914)  ~ (all_0_82_82 = e0)
% 47.46/16.74  																									| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.46/16.74  																									|
% 47.46/16.74  																										+-Applying beta-rule and splitting (254), into two cases.
% 47.46/16.74  																										|-Branch one:
% 47.46/16.74  																										| (910) all_0_82_82 = e0
% 47.46/16.74  																										|
% 47.46/16.74  																											| Equations (910) can reduce 914 to:
% 47.46/16.74  																											| (311) $false
% 47.46/16.74  																											|
% 47.46/16.74  																											|-The branch is then unsatisfiable
% 47.46/16.74  																										|-Branch two:
% 47.46/16.74  																										| (914)  ~ (all_0_82_82 = e0)
% 47.46/16.74  																										| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.74  																										|
% 47.46/16.74  																											+-Applying beta-rule and splitting (641), into two cases.
% 47.46/16.74  																											|-Branch one:
% 47.46/16.74  																											| (433) all_0_80_80 = e4
% 47.46/16.74  																											|
% 47.46/16.74  																												| Equations (433) can reduce 436 to:
% 47.46/16.74  																												| (311) $false
% 47.46/16.74  																												|
% 47.46/16.74  																												|-The branch is then unsatisfiable
% 47.46/16.74  																											|-Branch two:
% 47.46/16.74  																											| (436)  ~ (all_0_80_80 = e4)
% 47.46/16.74  																											| (638) all_0_81_81 = e4
% 47.46/16.74  																											|
% 47.46/16.74  																												| Equations (638) can reduce 257 to:
% 47.46/16.74  																												| (23)  ~ (e4 = e0)
% 47.46/16.74  																												|
% 47.46/16.74  																												+-Applying beta-rule and splitting (2), into two cases.
% 47.46/16.74  																												|-Branch one:
% 47.46/16.74  																												| (916) all_0_84_84 = e0
% 47.46/16.74  																												|
% 47.46/16.74  																													| Combining equations (438,916) yields a new equation:
% 47.46/16.74  																													| (911) e4 = e0
% 47.46/16.74  																													|
% 47.46/16.74  																													| Simplifying 911 yields:
% 47.46/16.74  																													| (912) e4 = e0
% 47.46/16.74  																													|
% 47.46/16.74  																													| Equations (912) can reduce 23 to:
% 47.46/16.74  																													| (311) $false
% 47.46/16.74  																													|
% 47.46/16.74  																													|-The branch is then unsatisfiable
% 47.46/16.74  																												|-Branch two:
% 47.46/16.74  																												| (919)  ~ (all_0_84_84 = e0)
% 47.46/16.74  																												| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.46/16.74  																												|
% 47.46/16.74  																													+-Applying beta-rule and splitting (915), into two cases.
% 47.46/16.74  																													|-Branch one:
% 47.46/16.74  																													| (378) all_0_86_86 = e0
% 47.46/16.74  																													|
% 47.46/16.74  																														| Combining equations (378,384) yields a new equation:
% 47.46/16.74  																														| (865) e1 = e0
% 47.46/16.74  																														|
% 47.46/16.74  																														| Equations (865) can reduce 264 to:
% 47.46/16.74  																														| (311) $false
% 47.46/16.74  																														|
% 47.46/16.74  																														|-The branch is then unsatisfiable
% 47.46/16.74  																													|-Branch two:
% 47.46/16.74  																													| (381)  ~ (all_0_86_86 = e0)
% 47.46/16.74  																													| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.74  																													|
% 47.46/16.74  																														+-Applying beta-rule and splitting (920), into two cases.
% 47.46/16.74  																														|-Branch one:
% 47.46/16.74  																														| (861) all_0_87_87 = e0
% 47.46/16.74  																														|
% 47.46/16.74  																															| Combining equations (374,861) yields a new equation:
% 47.46/16.74  																															| (923) e2 = e0
% 47.46/16.74  																															|
% 47.46/16.74  																															| Simplifying 923 yields:
% 47.46/16.74  																															| (379) e2 = e0
% 47.46/16.74  																															|
% 47.46/16.74  																															| Equations (379) can reduce 76 to:
% 47.46/16.74  																															| (311) $false
% 47.46/16.74  																															|
% 47.46/16.74  																															|-The branch is then unsatisfiable
% 47.46/16.74  																														|-Branch two:
% 47.46/16.74  																														| (889)  ~ (all_0_87_87 = e0)
% 47.46/16.74  																														| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 47.46/16.74  																														|
% 47.46/16.74  																															+-Applying beta-rule and splitting (927), into two cases.
% 47.46/16.74  																															|-Branch one:
% 47.46/16.74  																															| (758) all_0_90_90 = e0
% 47.46/16.74  																															|
% 47.46/16.74  																																| Equations (758) can reduce 72 to:
% 47.46/16.74  																																| (2299)  ~ (all_0_92_92 = e0)
% 47.46/16.74  																																|
% 47.46/16.74  																																| Simplifying 2299 yields:
% 47.46/16.74  																																| (946)  ~ (all_0_92_92 = e0)
% 47.46/16.74  																																|
% 47.46/16.74  																																+-Applying beta-rule and splitting (931), into two cases.
% 47.46/16.74  																																|-Branch one:
% 47.46/16.74  																																| (942) all_0_92_92 = e0
% 47.46/16.74  																																|
% 47.46/16.74  																																	| Equations (942) can reduce 946 to:
% 47.46/16.74  																																	| (311) $false
% 47.46/16.74  																																	|
% 47.46/16.74  																																	|-The branch is then unsatisfiable
% 47.46/16.74  																																|-Branch two:
% 47.46/16.74  																																| (946)  ~ (all_0_92_92 = e0)
% 47.46/16.74  																																| (560) all_0_97_97 = e0
% 47.46/16.74  																																|
% 47.46/16.74  																																	| Equations (560) can reduce 609 to:
% 47.46/16.74  																																	| (311) $false
% 47.46/16.74  																																	|
% 47.46/16.74  																																	|-The branch is then unsatisfiable
% 47.46/16.74  																															|-Branch two:
% 47.46/16.74  																															| (762)  ~ (all_0_90_90 = e0)
% 47.46/16.74  																															| (858) all_0_95_95 = e0
% 47.46/16.74  																															|
% 47.46/16.74  																																| Equations (858) can reduce 893 to:
% 47.46/16.74  																																| (311) $false
% 47.46/16.74  																																|
% 47.46/16.74  																																|-The branch is then unsatisfiable
% 47.46/16.75  																								|-Branch two:
% 47.46/16.75  																								| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.75  																								| (493) all_0_85_85 = e4
% 47.46/16.75  																								|
% 47.46/16.75  																									| Combining equations (512,493) yields a new equation:
% 47.46/16.75  																									| (310) e4 = e2
% 47.46/16.75  																									|
% 47.46/16.75  																									| Equations (310) can reduce 79 to:
% 47.46/16.75  																									| (311) $false
% 47.46/16.75  																									|
% 47.46/16.75  																									|-The branch is then unsatisfiable
% 47.46/16.75  																				|-Branch two:
% 47.46/16.75  																				| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																				| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.46/16.75  																				|
% 47.46/16.75  																					+-Applying beta-rule and splitting (70), into two cases.
% 47.46/16.75  																					|-Branch one:
% 47.46/16.75  																					| (400) all_0_78_78 = e2
% 47.46/16.75  																					|
% 47.46/16.75  																						| Equations (400) can reduce 346 to:
% 47.46/16.75  																						| (311) $false
% 47.46/16.75  																						|
% 47.46/16.75  																						|-The branch is then unsatisfiable
% 47.46/16.75  																					|-Branch two:
% 47.46/16.75  																					| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																					| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.46/16.75  																					|
% 47.46/16.75  																						+-Applying beta-rule and splitting (246), into two cases.
% 47.46/16.75  																						|-Branch one:
% 47.46/16.75  																						| (400) all_0_78_78 = e2
% 47.46/16.75  																						|
% 47.46/16.75  																							| Equations (400) can reduce 346 to:
% 47.46/16.75  																							| (311) $false
% 47.46/16.75  																							|
% 47.46/16.75  																							|-The branch is then unsatisfiable
% 47.46/16.75  																						|-Branch two:
% 47.46/16.75  																						| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																						| (13415) all_0_82_82 = e2 | all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.46/16.75  																						|
% 47.46/16.75  																							+-Applying beta-rule and splitting (10), into two cases.
% 47.46/16.75  																							|-Branch one:
% 47.46/16.75  																							| (530) all_0_82_82 = e2
% 47.46/16.75  																							|
% 47.46/16.75  																								| Equations (530) can reduce 347 to:
% 47.46/16.75  																								| (311) $false
% 47.46/16.75  																								|
% 47.46/16.75  																								|-The branch is then unsatisfiable
% 47.46/16.75  																							|-Branch two:
% 47.46/16.75  																							| (347)  ~ (all_0_82_82 = e2)
% 47.46/16.75  																							| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.46/16.75  																							|
% 47.46/16.75  																								+-Applying beta-rule and splitting (1658), into two cases.
% 47.46/16.75  																								|-Branch one:
% 47.46/16.75  																								| (390) all_0_79_79 = e2
% 47.46/16.75  																								|
% 47.46/16.75  																									| Combining equations (457,390) yields a new equation:
% 47.46/16.75  																									| (385) e2 = e1
% 47.46/16.75  																									|
% 47.46/16.75  																									| Equations (385) can reduce 243 to:
% 47.46/16.75  																									| (311) $false
% 47.46/16.75  																									|
% 47.46/16.75  																									|-The branch is then unsatisfiable
% 47.46/16.75  																								|-Branch two:
% 47.46/16.75  																								| (1622)  ~ (all_0_79_79 = e2)
% 47.46/16.75  																								| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 47.46/16.75  																								|
% 47.46/16.75  																									| Equations (457) can reduce 1622 to:
% 47.46/16.75  																									| (487)  ~ (e2 = e1)
% 47.46/16.75  																									|
% 47.46/16.75  																									| Simplifying 487 yields:
% 47.46/16.75  																									| (243)  ~ (e2 = e1)
% 47.46/16.75  																									|
% 47.46/16.75  																									+-Applying beta-rule and splitting (13415), into two cases.
% 47.46/16.75  																									|-Branch one:
% 47.46/16.75  																									| (530) all_0_82_82 = e2
% 47.46/16.75  																									|
% 47.46/16.75  																										| Equations (530) can reduce 347 to:
% 47.46/16.75  																										| (311) $false
% 47.46/16.75  																										|
% 47.46/16.75  																										|-The branch is then unsatisfiable
% 47.46/16.75  																									|-Branch two:
% 47.46/16.75  																									| (347)  ~ (all_0_82_82 = e2)
% 47.46/16.75  																									| (13419) all_0_86_86 = e2 | all_0_90_90 = e2 | all_0_95_95 = e2
% 47.46/16.75  																									|
% 47.46/16.75  																										+-Applying beta-rule and splitting (13419), into two cases.
% 47.46/16.75  																										|-Branch one:
% 47.46/16.75  																										| (345) all_0_86_86 = e2
% 47.46/16.75  																										|
% 47.46/16.75  																											| Combining equations (384,345) yields a new equation:
% 47.46/16.75  																											| (385) e2 = e1
% 47.46/16.75  																											|
% 47.46/16.75  																											| Equations (385) can reduce 243 to:
% 47.46/16.75  																											| (311) $false
% 47.46/16.75  																											|
% 47.46/16.75  																											|-The branch is then unsatisfiable
% 47.46/16.75  																										|-Branch two:
% 47.46/16.75  																										| (9507)  ~ (all_0_86_86 = e2)
% 47.46/16.75  																										| (13424) all_0_90_90 = e2 | all_0_95_95 = e2
% 47.46/16.75  																										|
% 47.46/16.75  																											+-Applying beta-rule and splitting (13424), into two cases.
% 47.46/16.75  																											|-Branch one:
% 47.46/16.75  																											| (746) all_0_90_90 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																												| Equations (746) can reduce 294 to:
% 47.46/16.75  																												| (311) $false
% 47.46/16.75  																												|
% 47.46/16.75  																												|-The branch is then unsatisfiable
% 47.46/16.75  																											|-Branch two:
% 47.46/16.75  																											| (294)  ~ (all_0_90_90 = e2)
% 47.46/16.75  																											| (767) all_0_95_95 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																												| Equations (767) can reduce 355 to:
% 47.46/16.75  																												| (311) $false
% 47.46/16.75  																												|
% 47.46/16.75  																												|-The branch is then unsatisfiable
% 47.46/16.75  																			|-Branch two:
% 47.46/16.75  																			| (515)  ~ (all_0_85_85 = e2)
% 47.46/16.75  																			| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.46/16.75  																			|
% 47.46/16.75  																				+-Applying beta-rule and splitting (41), into two cases.
% 47.46/16.75  																				|-Branch one:
% 47.46/16.75  																				| (530) all_0_82_82 = e2
% 47.46/16.75  																				|
% 47.46/16.75  																					| Equations (530) can reduce 193 to:
% 47.46/16.75  																					| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																					|
% 47.46/16.75  																					| Equations (530) can reduce 7 to:
% 47.46/16.75  																					| (1631)  ~ (all_0_84_84 = e2)
% 47.46/16.75  																					|
% 47.46/16.75  																					| Simplifying 1631 yields:
% 47.46/16.75  																					| (612)  ~ (all_0_84_84 = e2)
% 47.46/16.75  																					|
% 47.46/16.75  																					| Equations (530) can reduce 200 to:
% 47.46/16.75  																					| (354)  ~ (all_0_95_95 = e2)
% 47.46/16.75  																					|
% 47.46/16.75  																					| Simplifying 354 yields:
% 47.46/16.75  																					| (355)  ~ (all_0_95_95 = e2)
% 47.46/16.75  																					|
% 47.46/16.75  																					| Equations (530) can reduce 198 to:
% 47.46/16.75  																					| (243)  ~ (e2 = e1)
% 47.46/16.75  																					|
% 47.46/16.75  																					+-Applying beta-rule and splitting (101), into two cases.
% 47.46/16.75  																					|-Branch one:
% 47.46/16.75  																					| (400) all_0_78_78 = e2
% 47.46/16.75  																					|
% 47.46/16.75  																						| Equations (400) can reduce 346 to:
% 47.46/16.75  																						| (311) $false
% 47.46/16.75  																						|
% 47.46/16.75  																						|-The branch is then unsatisfiable
% 47.46/16.75  																					|-Branch two:
% 47.46/16.75  																					| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																					| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.46/16.75  																					|
% 47.46/16.75  																						+-Applying beta-rule and splitting (70), into two cases.
% 47.46/16.75  																						|-Branch one:
% 47.46/16.75  																						| (400) all_0_78_78 = e2
% 47.46/16.75  																						|
% 47.46/16.75  																							| Equations (400) can reduce 346 to:
% 47.46/16.75  																							| (311) $false
% 47.46/16.75  																							|
% 47.46/16.75  																							|-The branch is then unsatisfiable
% 47.46/16.75  																						|-Branch two:
% 47.46/16.75  																						| (346)  ~ (all_0_78_78 = e2)
% 47.46/16.75  																						| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.46/16.75  																						|
% 47.46/16.75  																							+-Applying beta-rule and splitting (249), into two cases.
% 47.46/16.75  																							|-Branch one:
% 47.46/16.75  																							| (910) all_0_82_82 = e0
% 47.46/16.75  																							|
% 47.46/16.75  																								| Combining equations (530,910) yields a new equation:
% 47.46/16.75  																								| (923) e2 = e0
% 47.46/16.75  																								|
% 47.46/16.75  																								| Simplifying 923 yields:
% 47.46/16.75  																								| (379) e2 = e0
% 47.46/16.75  																								|
% 47.46/16.75  																								| Equations (379) can reduce 76 to:
% 47.46/16.75  																								| (311) $false
% 47.46/16.75  																								|
% 47.46/16.75  																								|-The branch is then unsatisfiable
% 47.46/16.75  																							|-Branch two:
% 47.46/16.75  																							| (914)  ~ (all_0_82_82 = e0)
% 47.46/16.75  																							| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.46/16.75  																							|
% 47.46/16.75  																								| Equations (530) can reduce 914 to:
% 47.46/16.75  																								| (76)  ~ (e2 = e0)
% 47.46/16.75  																								|
% 47.46/16.75  																								+-Applying beta-rule and splitting (254), into two cases.
% 47.46/16.75  																								|-Branch one:
% 47.46/16.75  																								| (910) all_0_82_82 = e0
% 47.46/16.75  																								|
% 47.46/16.75  																									| Combining equations (530,910) yields a new equation:
% 47.46/16.75  																									| (923) e2 = e0
% 47.46/16.75  																									|
% 47.46/16.75  																									| Simplifying 923 yields:
% 47.46/16.75  																									| (379) e2 = e0
% 47.46/16.75  																									|
% 47.46/16.75  																									| Equations (379) can reduce 76 to:
% 47.46/16.75  																									| (311) $false
% 47.46/16.75  																									|
% 47.46/16.75  																									|-The branch is then unsatisfiable
% 47.46/16.75  																								|-Branch two:
% 47.46/16.75  																								| (914)  ~ (all_0_82_82 = e0)
% 47.46/16.75  																								| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.75  																								|
% 47.46/16.75  																									+-Applying beta-rule and splitting (403), into two cases.
% 47.46/16.75  																									|-Branch one:
% 47.46/16.75  																									| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.46/16.75  																									|
% 47.46/16.75  																										+-Applying beta-rule and splitting (404), into two cases.
% 47.46/16.75  																										|-Branch one:
% 47.46/16.75  																										| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.46/16.75  																										|
% 47.46/16.75  																											| Applying alpha-rule on (405) yields:
% 47.46/16.75  																											| (406) all_0_39_39 = e1
% 47.46/16.75  																											| (407)  ~ (all_0_40_40 = e4)
% 47.46/16.75  																											|
% 47.46/16.75  																											| Combining equations (30566,406) yields a new equation:
% 47.46/16.75  																											| (865) e1 = e0
% 47.46/16.75  																											|
% 47.46/16.75  																											| Equations (865) can reduce 264 to:
% 47.46/16.75  																											| (311) $false
% 47.46/16.75  																											|
% 47.46/16.75  																											|-The branch is then unsatisfiable
% 47.46/16.75  																										|-Branch two:
% 47.46/16.75  																										| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.46/16.75  																										|
% 47.46/16.75  																											| Applying alpha-rule on (411) yields:
% 47.46/16.75  																											| (337) all_0_41_41 = e0
% 47.46/16.75  																											| (413)  ~ (all_0_42_42 = e4)
% 47.46/16.75  																											|
% 47.46/16.75  																											| Combining equations (41260,337) yields a new equation:
% 47.46/16.75  																											| (1107) e1 = e0
% 47.46/16.75  																											|
% 47.46/16.75  																											| Simplifying 1107 yields:
% 47.46/16.75  																											| (865) e1 = e0
% 47.46/16.75  																											|
% 47.46/16.75  																											| Equations (865) can reduce 264 to:
% 47.46/16.75  																											| (311) $false
% 47.46/16.75  																											|
% 47.46/16.75  																											|-The branch is then unsatisfiable
% 47.46/16.75  																									|-Branch two:
% 47.46/16.75  																									| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.46/16.75  																									|
% 47.46/16.75  																										| Applying alpha-rule on (415) yields:
% 47.46/16.75  																										| (416) all_0_80_80 = e3
% 47.46/16.75  																										| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Equations (416) can reduce 67 to:
% 47.46/16.75  																										| (418)  ~ (all_0_78_78 = e3)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Equations (416) can reduce 273 to:
% 47.46/16.75  																										| (421)  ~ (all_0_84_84 = e3)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Simplifying 421 yields:
% 47.46/16.75  																										| (422)  ~ (all_0_84_84 = e3)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Equations (416) can reduce 49 to:
% 47.46/16.75  																										| (425)  ~ (all_0_92_92 = e3)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Simplifying 425 yields:
% 47.46/16.75  																										| (426)  ~ (all_0_92_92 = e3)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Equations (416) can reduce 394 to:
% 47.46/16.75  																										| (169)  ~ (e3 = e2)
% 47.46/16.75  																										|
% 47.46/16.75  																										| Equations (416) can reduce 828 to:
% 47.46/16.75  																										| (20)  ~ (e3 = e1)
% 47.46/16.75  																										|
% 47.46/16.75  																										+-Applying beta-rule and splitting (109), into two cases.
% 47.46/16.75  																										|-Branch one:
% 47.46/16.75  																										| (469) all_0_82_82 = e4
% 47.46/16.75  																										|
% 47.46/16.75  																											| Combining equations (469,530) yields a new equation:
% 47.46/16.75  																											| (309) e4 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																											| Simplifying 309 yields:
% 47.46/16.75  																											| (310) e4 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																											| Equations (310) can reduce 79 to:
% 47.46/16.75  																											| (311) $false
% 47.46/16.75  																											|
% 47.46/16.75  																											|-The branch is then unsatisfiable
% 47.46/16.75  																										|-Branch two:
% 47.46/16.75  																										| (465)  ~ (all_0_82_82 = e4)
% 47.46/16.75  																										| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.46/16.75  																										|
% 47.46/16.75  																											+-Applying beta-rule and splitting (1658), into two cases.
% 47.46/16.75  																											|-Branch one:
% 47.46/16.75  																											| (390) all_0_79_79 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																												| Combining equations (457,390) yields a new equation:
% 47.46/16.75  																												| (385) e2 = e1
% 47.46/16.75  																												|
% 47.46/16.75  																												| Equations (385) can reduce 243 to:
% 47.46/16.75  																												| (311) $false
% 47.46/16.75  																												|
% 47.46/16.75  																												|-The branch is then unsatisfiable
% 47.46/16.75  																											|-Branch two:
% 47.46/16.75  																											| (1622)  ~ (all_0_79_79 = e2)
% 47.46/16.75  																											| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 47.46/16.75  																											|
% 47.46/16.75  																												+-Applying beta-rule and splitting (92), into two cases.
% 47.46/16.75  																												|-Branch one:
% 47.46/16.75  																												| (552) all_0_84_84 = e2
% 47.46/16.75  																												|
% 47.46/16.75  																													| Equations (552) can reduce 612 to:
% 47.46/16.75  																													| (311) $false
% 47.46/16.75  																													|
% 47.46/16.75  																													|-The branch is then unsatisfiable
% 47.46/16.75  																												|-Branch two:
% 47.46/16.75  																												| (612)  ~ (all_0_84_84 = e2)
% 47.46/16.75  																												| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.46/16.75  																												|
% 47.46/16.75  																													+-Applying beta-rule and splitting (915), into two cases.
% 47.46/16.75  																													|-Branch one:
% 47.46/16.75  																													| (378) all_0_86_86 = e0
% 47.46/16.75  																													|
% 47.46/16.75  																														| Combining equations (384,378) yields a new equation:
% 47.46/16.75  																														| (1107) e1 = e0
% 47.46/16.75  																														|
% 47.46/16.75  																														| Simplifying 1107 yields:
% 47.46/16.75  																														| (865) e1 = e0
% 47.46/16.75  																														|
% 47.46/16.75  																														| Equations (865) can reduce 264 to:
% 47.46/16.75  																														| (311) $false
% 47.46/16.75  																														|
% 47.46/16.75  																														|-The branch is then unsatisfiable
% 47.46/16.75  																													|-Branch two:
% 47.46/16.75  																													| (381)  ~ (all_0_86_86 = e0)
% 47.46/16.75  																													| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.46/16.75  																													|
% 47.46/16.75  																														+-Applying beta-rule and splitting (927), into two cases.
% 47.46/16.75  																														|-Branch one:
% 47.46/16.75  																														| (758) all_0_90_90 = e0
% 47.46/16.75  																														|
% 47.46/16.75  																															| Equations (758) can reduce 85 to:
% 47.46/16.75  																															| (86)  ~ (all_0_78_78 = e0)
% 47.46/16.75  																															|
% 47.46/16.75  																															| Equations (758) can reduce 34 to:
% 47.46/16.75  																															| (508)  ~ (all_0_93_93 = e0)
% 47.46/16.75  																															|
% 47.46/16.75  																															| Simplifying 508 yields:
% 47.46/16.75  																															| (509)  ~ (all_0_93_93 = e0)
% 47.46/16.75  																															|
% 47.46/16.75  																															| From (758) and (287) follows:
% 47.46/16.76  																															| (23105) op(e0, e3) = all_0_24_24
% 47.46/16.76  																															|
% 47.46/16.76  																															+-Applying beta-rule and splitting (2), into two cases.
% 47.46/16.76  																															|-Branch one:
% 47.46/16.76  																															| (916) all_0_84_84 = e0
% 47.46/16.76  																															|
% 47.46/16.76  																																| Equations (916) can reduce 195 to:
% 47.46/16.76  																																| (938)  ~ (all_0_97_97 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Simplifying 938 yields:
% 47.46/16.76  																																| (609)  ~ (all_0_97_97 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Equations (916) can reduce 417 to:
% 47.46/16.76  																																| (904)  ~ (e4 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Simplifying 904 yields:
% 47.46/16.76  																																| (23)  ~ (e4 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Equations (916) can reduce 422 to:
% 47.46/16.76  																																| (906)  ~ (e3 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Simplifying 906 yields:
% 47.46/16.76  																																| (50)  ~ (e3 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Equations (916) can reduce 259 to:
% 47.46/16.76  																																| (859)  ~ (e1 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| Simplifying 859 yields:
% 47.46/16.76  																																| (264)  ~ (e1 = e0)
% 47.46/16.76  																																|
% 47.46/16.76  																																| From (916) and (54) follows:
% 47.46/16.76  																																| (41793) op(e0, e3) = all_0_11_11
% 47.46/16.76  																																|
% 47.46/16.76  																																+-Applying beta-rule and splitting (282), into two cases.
% 47.46/16.76  																																|-Branch one:
% 47.46/16.76  																																| (754) all_0_90_90 = e3
% 47.46/16.76  																																|
% 47.46/16.76  																																	| Combining equations (758,754) yields a new equation:
% 47.46/16.76  																																	| (600) e3 = e0
% 47.46/16.76  																																	|
% 47.46/16.76  																																	| Equations (600) can reduce 50 to:
% 47.46/16.76  																																	| (311) $false
% 47.46/16.76  																																	|
% 47.46/16.76  																																	|-The branch is then unsatisfiable
% 47.46/16.76  																																|-Branch two:
% 47.46/16.76  																																| (745)  ~ (all_0_90_90 = e3)
% 47.46/16.76  																																| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.46/16.76  																																|
% 47.46/16.76  																																	+-Applying beta-rule and splitting (849), into two cases.
% 47.46/16.76  																																	|-Branch one:
% 47.46/16.76  																																	| (588) all_0_91_91 = e3
% 47.46/16.76  																																	|
% 47.46/16.76  																																		| Combining equations (1723,588) yields a new equation:
% 47.46/16.76  																																		| (548) e3 = e2
% 47.46/16.76  																																		|
% 47.46/16.76  																																		| Equations (548) can reduce 169 to:
% 47.46/16.76  																																		| (311) $false
% 47.46/16.76  																																		|
% 47.46/16.76  																																		|-The branch is then unsatisfiable
% 47.46/16.76  																																	|-Branch two:
% 47.46/16.76  																																	| (571)  ~ (all_0_91_91 = e3)
% 47.46/16.76  																																	| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.46/16.76  																																	|
% 47.46/16.76  																																		+-Applying beta-rule and splitting (881), into two cases.
% 47.46/16.76  																																		|-Branch one:
% 47.46/16.76  																																		| (882) all_0_92_92 = e3
% 47.46/16.76  																																		|
% 47.46/16.76  																																			| Equations (882) can reduce 426 to:
% 47.46/16.76  																																			| (311) $false
% 47.46/16.76  																																			|
% 47.46/16.76  																																			|-The branch is then unsatisfiable
% 47.46/16.76  																																		|-Branch two:
% 47.46/16.76  																																		| (426)  ~ (all_0_92_92 = e3)
% 47.46/16.76  																																		| (570) all_0_93_93 = e3
% 47.46/16.76  																																		|
% 47.46/16.76  																																			| Equations (570) can reduce 277 to:
% 47.46/16.76  																																			| (420)  ~ (all_0_81_81 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 201 to:
% 47.46/16.76  																																			| (952)  ~ (all_0_85_85 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 283 to:
% 47.46/16.76  																																			| (426)  ~ (all_0_92_92 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 13 to:
% 47.46/16.76  																																			| (1518)  ~ (all_0_98_98 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Simplifying 1518 yields:
% 47.46/16.76  																																			| (1519)  ~ (all_0_98_98 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 496 to:
% 47.46/16.76  																																			| (783)  ~ (e4 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Simplifying 783 yields:
% 47.46/16.76  																																			| (177)  ~ (e4 = e3)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 300 to:
% 47.46/16.76  																																			| (169)  ~ (e3 = e2)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| Equations (570) can reduce 509 to:
% 47.46/16.76  																																			| (50)  ~ (e3 = e0)
% 47.46/16.76  																																			|
% 47.46/16.76  																																			| From (570) and (173) follows:
% 47.46/16.76  																																			| (4654) op(e0, e3) = all_0_75_75
% 47.46/16.76  																																			|
% 47.46/16.76  																																			+-Applying beta-rule and splitting (108), into two cases.
% 47.46/16.76  																																			|-Branch one:
% 47.46/16.76  																																			| (477) all_0_81_81 = e1
% 47.46/16.76  																																			|
% 47.46/16.76  																																				| Equations (477) can reduce 628 to:
% 47.46/16.76  																																				| (311) $false
% 47.46/16.76  																																				|
% 47.46/16.76  																																				|-The branch is then unsatisfiable
% 47.46/16.76  																																			|-Branch two:
% 47.46/16.76  																																			| (628)  ~ (all_0_81_81 = e1)
% 47.46/16.76  																																			| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.46/16.76  																																			|
% 47.46/16.76  																																				+-Applying beta-rule and splitting (132), into two cases.
% 47.46/16.76  																																				|-Branch one:
% 47.46/16.76  																																				| (750) all_0_90_90 = e1
% 47.46/16.76  																																				|
% 47.46/16.76  																																					| Combining equations (758,750) yields a new equation:
% 47.46/16.76  																																					| (865) e1 = e0
% 47.46/16.76  																																					|
% 47.46/16.76  																																					| Equations (865) can reduce 264 to:
% 47.46/16.76  																																					| (311) $false
% 47.46/16.76  																																					|
% 47.46/16.76  																																					|-The branch is then unsatisfiable
% 47.46/16.76  																																				|-Branch two:
% 47.46/16.76  																																				| (678)  ~ (all_0_90_90 = e1)
% 47.46/16.76  																																				| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.46/16.76  																																				|
% 47.46/16.76  																																					| Equations (758) can reduce 678 to:
% 47.46/16.76  																																					| (859)  ~ (e1 = e0)
% 47.46/16.76  																																					|
% 47.46/16.76  																																					| Simplifying 859 yields:
% 47.46/16.76  																																					| (264)  ~ (e1 = e0)
% 47.46/16.76  																																					|
% 47.46/16.76  																																					+-Applying beta-rule and splitting (210), into two cases.
% 47.46/16.76  																																					|-Branch one:
% 47.46/16.76  																																					| (433) all_0_80_80 = e4
% 47.46/16.76  																																					|
% 47.46/16.76  																																						| Combining equations (416,433) yields a new equation:
% 47.46/16.76  																																						| (434) e4 = e3
% 47.46/16.76  																																						|
% 47.46/16.76  																																						| Equations (434) can reduce 177 to:
% 47.46/16.76  																																						| (311) $false
% 47.46/16.76  																																						|
% 47.46/16.76  																																						|-The branch is then unsatisfiable
% 47.46/16.76  																																					|-Branch two:
% 47.46/16.76  																																					| (436)  ~ (all_0_80_80 = e4)
% 47.46/16.76  																																					| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.46/16.76  																																					|
% 47.46/16.76  																																						+-Applying beta-rule and splitting (472), into two cases.
% 47.46/16.76  																																						|-Branch one:
% 47.46/16.76  																																						| (438) all_0_84_84 = e4
% 47.46/16.76  																																						|
% 47.46/16.76  																																							| Combining equations (916,438) yields a new equation:
% 47.46/16.76  																																							| (912) e4 = e0
% 47.46/16.76  																																							|
% 47.46/16.76  																																							| Equations (912) can reduce 23 to:
% 47.46/16.76  																																							| (311) $false
% 47.46/16.76  																																							|
% 47.46/16.76  																																							|-The branch is then unsatisfiable
% 47.46/16.76  																																						|-Branch two:
% 47.46/16.76  																																						| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.76  																																						| (493) all_0_85_85 = e4
% 47.46/16.76  																																						|
% 47.46/16.76  																																							| Equations (493) can reduce 118 to:
% 47.46/16.76  																																							| (634)  ~ (all_0_81_81 = e4)
% 47.46/16.76  																																							|
% 47.46/16.76  																																							| Equations (493) can reduce 75 to:
% 47.46/16.76  																																							| (320)  ~ (all_0_98_98 = e4)
% 47.46/16.76  																																							|
% 47.46/16.76  																																							| Simplifying 320 yields:
% 47.46/16.76  																																							| (321)  ~ (all_0_98_98 = e4)
% 47.46/16.76  																																							|
% 47.46/16.76  																																							| Equations (493) can reduce 952 to:
% 47.46/16.76  																																							| (177)  ~ (e4 = e3)
% 47.46/16.76  																																							|
% 47.46/16.76  																																							| From (493) and (26) follows:
% 47.46/16.76  																																							| (2742) op(e0, e4) = all_0_71_71
% 47.46/16.76  																																							|
% 47.46/16.76  																																							+-Applying beta-rule and splitting (56), into two cases.
% 47.46/16.76  																																							|-Branch one:
% 47.46/16.76  																																							| (463) all_0_78_78 = e4
% 47.46/16.76  																																							|
% 47.46/16.76  																																								| Equations (463) can reduce 418 to:
% 47.46/16.76  																																								| (177)  ~ (e4 = e3)
% 47.46/16.76  																																								|
% 47.46/16.76  																																								| Equations (463) can reduce 86 to:
% 47.46/16.76  																																								| (23)  ~ (e4 = e0)
% 47.46/16.76  																																								|
% 47.46/16.76  																																								+-Applying beta-rule and splitting (123), into two cases.
% 47.46/16.76  																																								|-Branch one:
% 47.46/16.76  																																								| (473) all_0_81_81 = e2
% 47.46/16.76  																																								|
% 47.46/16.76  																																									| Equations (473) can reduce 5 to:
% 47.46/16.76  																																									| (1348)  ~ (all_0_98_98 = e2)
% 47.46/16.76  																																									|
% 47.46/16.76  																																									| Simplifying 1348 yields:
% 47.46/16.76  																																									| (1349)  ~ (all_0_98_98 = e2)
% 47.46/16.76  																																									|
% 47.46/16.76  																																									| Equations (473) can reduce 420 to:
% 47.46/16.76  																																									| (356)  ~ (e3 = e2)
% 47.46/16.76  																																									|
% 47.46/16.76  																																									| Simplifying 356 yields:
% 47.46/16.76  																																									| (169)  ~ (e3 = e2)
% 47.46/16.76  																																									|
% 47.46/16.76  																																									| From (473) and (145) follows:
% 47.46/16.76  																																									| (1751) op(e0, e2) = all_0_69_69
% 47.46/16.76  																																									|
% 47.46/16.76  																																									+-Applying beta-rule and splitting (48), into two cases.
% 47.46/16.76  																																									|-Branch one:
% 47.46/16.76  																																									| (525) all_0_98_98 = e2
% 47.46/16.76  																																									|
% 47.46/16.76  																																										| Equations (525) can reduce 1349 to:
% 47.46/16.76  																																										| (311) $false
% 47.46/16.76  																																										|
% 47.46/16.76  																																										|-The branch is then unsatisfiable
% 47.46/16.76  																																									|-Branch two:
% 47.46/16.76  																																									| (1349)  ~ (all_0_98_98 = e2)
% 47.46/16.76  																																									| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.46/16.76  																																									|
% 47.46/16.76  																																										+-Applying beta-rule and splitting (5118), into two cases.
% 47.46/16.76  																																										|-Branch one:
% 47.46/16.76  																																										| (1543) all_0_98_98 = e1
% 47.46/16.76  																																										|
% 47.46/16.76  																																											| Combining equations (1543,1370) yields a new equation:
% 47.46/16.76  																																											| (2602) all_0_73_73 = e1
% 47.46/16.76  																																											|
% 47.46/16.76  																																											| Equations (1543) can reduce 148 to:
% 47.46/16.76  																																											| (486)  ~ (all_0_97_97 = e1)
% 47.46/16.76  																																											|
% 47.46/16.76  																																											| Equations (1543) can reduce 1519 to:
% 47.46/16.76  																																											| (683)  ~ (e3 = e1)
% 47.46/16.76  																																											|
% 47.46/16.76  																																											| Simplifying 683 yields:
% 47.46/16.76  																																											| (20)  ~ (e3 = e1)
% 47.46/16.76  																																											|
% 47.46/16.76  																																											| Equations (1543) can reduce 1349 to:
% 47.46/16.76  																																											| (487)  ~ (e2 = e1)
% 47.46/16.76  																																											|
% 47.46/16.76  																																											| Simplifying 487 yields:
% 47.46/16.76  																																											| (243)  ~ (e2 = e1)
% 47.46/16.76  																																											|
% 47.46/16.76  																																											+-Applying beta-rule and splitting (151), into two cases.
% 47.46/16.76  																																											|-Branch one:
% 47.46/16.76  																																											| (824) all_0_80_80 = e1
% 47.46/16.76  																																											|
% 47.46/16.76  																																												| Combining equations (416,824) yields a new equation:
% 47.46/16.76  																																												| (825) e3 = e1
% 47.46/16.76  																																												|
% 47.46/16.76  																																												| Simplifying 825 yields:
% 47.46/16.76  																																												| (772) e3 = e1
% 47.46/16.76  																																												|
% 47.46/16.76  																																												| Equations (772) can reduce 20 to:
% 47.46/16.76  																																												| (311) $false
% 47.46/16.76  																																												|
% 47.46/16.76  																																												|-The branch is then unsatisfiable
% 47.46/16.76  																																											|-Branch two:
% 47.46/16.76  																																											| (828)  ~ (all_0_80_80 = e1)
% 47.46/16.76  																																											| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.46/16.76  																																											|
% 47.46/16.76  																																												+-Applying beta-rule and splitting (112), into two cases.
% 47.46/16.76  																																												|-Branch one:
% 47.46/16.76  																																												| (538) all_0_97_97 = e2
% 47.46/16.76  																																												|
% 47.46/16.76  																																													| Equations (538) can reduce 527 to:
% 47.46/16.76  																																													| (311) $false
% 47.46/16.76  																																													|
% 47.46/16.76  																																													|-The branch is then unsatisfiable
% 47.46/16.76  																																												|-Branch two:
% 47.46/16.76  																																												| (527)  ~ (all_0_97_97 = e2)
% 47.46/16.76  																																												| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 47.46/16.76  																																												|
% 47.46/16.76  																																													+-Applying beta-rule and splitting (829), into two cases.
% 47.46/16.76  																																													|-Branch one:
% 47.46/16.76  																																													| (482) all_0_87_87 = e1
% 47.46/16.76  																																													|
% 47.46/16.76  																																														| Combining equations (482,374) yields a new equation:
% 47.46/16.76  																																														| (385) e2 = e1
% 47.46/16.76  																																														|
% 47.46/16.76  																																														| Equations (385) can reduce 243 to:
% 47.46/16.76  																																														| (311) $false
% 47.46/16.76  																																														|
% 47.46/16.76  																																														|-The branch is then unsatisfiable
% 47.46/16.76  																																													|-Branch two:
% 47.46/16.76  																																													| (625)  ~ (all_0_87_87 = e1)
% 47.46/16.76  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.46/16.76  																																													|
% 47.46/16.76  																																														+-Applying beta-rule and splitting (437), into two cases.
% 47.46/16.76  																																														|-Branch one:
% 47.46/16.76  																																														| (438) all_0_84_84 = e4
% 47.46/16.76  																																														|
% 47.46/16.76  																																															| Combining equations (916,438) yields a new equation:
% 47.46/16.76  																																															| (912) e4 = e0
% 47.46/16.76  																																															|
% 47.46/16.76  																																															| Equations (912) can reduce 23 to:
% 47.46/16.76  																																															| (311) $false
% 47.46/16.76  																																															|
% 47.46/16.76  																																															|-The branch is then unsatisfiable
% 47.46/16.76  																																														|-Branch two:
% 47.46/16.76  																																														| (417)  ~ (all_0_84_84 = e4)
% 47.46/16.76  																																														| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.46/16.76  																																														|
% 47.46/16.76  																																															+-Applying beta-rule and splitting (99), into two cases.
% 47.46/16.76  																																															|-Branch one:
% 47.46/16.76  																																															| (767) all_0_95_95 = e2
% 47.46/16.76  																																															|
% 47.46/16.76  																																																| Equations (767) can reduce 355 to:
% 47.46/16.76  																																																| (311) $false
% 47.46/16.76  																																																|
% 47.46/16.76  																																																|-The branch is then unsatisfiable
% 47.46/16.76  																																															|-Branch two:
% 47.46/16.76  																																															| (355)  ~ (all_0_95_95 = e2)
% 47.46/16.76  																																															| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.46/16.76  																																															|
% 47.46/16.76  																																																+-Applying beta-rule and splitting (220), into two cases.
% 47.46/16.76  																																																|-Branch one:
% 47.46/16.76  																																																| (771) all_0_78_78 = e3
% 47.46/16.76  																																																|
% 47.46/16.76  																																																	| Combining equations (463,771) yields a new equation:
% 47.46/16.76  																																																	| (790) e4 = e3
% 47.46/16.76  																																																	|
% 47.46/16.76  																																																	| Simplifying 790 yields:
% 47.46/16.76  																																																	| (434) e4 = e3
% 47.46/16.76  																																																	|
% 47.46/16.76  																																																	| Equations (434) can reduce 177 to:
% 47.46/16.76  																																																	| (311) $false
% 47.46/16.76  																																																	|
% 47.46/16.76  																																																	|-The branch is then unsatisfiable
% 47.46/16.76  																																																|-Branch two:
% 47.46/16.76  																																																| (418)  ~ (all_0_78_78 = e3)
% 47.46/16.76  																																																| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.46/16.76  																																																|
% 47.46/16.76  																																																	+-Applying beta-rule and splitting (119), into two cases.
% 47.46/16.76  																																																	|-Branch one:
% 47.46/16.76  																																																	| (1343) all_0_92_92 = e2
% 47.46/16.76  																																																	|
% 47.46/16.76  																																																		| Equations (1343) can reduce 298 to:
% 47.46/16.76  																																																		| (311) $false
% 47.46/16.76  																																																		|
% 47.46/16.76  																																																		|-The branch is then unsatisfiable
% 47.46/16.76  																																																	|-Branch two:
% 47.46/16.76  																																																	| (298)  ~ (all_0_92_92 = e2)
% 47.46/16.76  																																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.46/16.76  																																																	|
% 47.46/16.76  																																																		+-Applying beta-rule and splitting (541), into two cases.
% 47.46/16.76  																																																		|-Branch one:
% 47.46/16.76  																																																		| (542) all_0_97_97 = e1
% 47.46/16.76  																																																		|
% 47.46/16.76  																																																			| Equations (542) can reduce 486 to:
% 47.46/16.76  																																																			| (311) $false
% 47.46/16.76  																																																			|
% 47.46/16.76  																																																			|-The branch is then unsatisfiable
% 47.46/16.76  																																																		|-Branch two:
% 47.46/16.76  																																																		| (486)  ~ (all_0_97_97 = e1)
% 47.46/16.76  																																																		| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 47.46/16.76  																																																		|
% 47.46/16.76  																																																			+-Applying beta-rule and splitting (270), into two cases.
% 47.46/16.76  																																																			|-Branch one:
% 47.46/16.76  																																																			| (744) all_0_95_95 = e3
% 47.46/16.76  																																																			|
% 47.46/16.76  																																																				| Equations (744) can reduce 355 to:
% 47.46/16.76  																																																				| (169)  ~ (e3 = e2)
% 47.46/16.76  																																																				|
% 47.46/16.76  																																																				| From (744) and (280) follows:
% 47.46/16.76  																																																				| (1521) op(e0, e3) = all_0_51_51
% 47.46/16.76  																																																				|
% 47.46/16.76  																																																				| From (744) and (275) follows:
% 47.46/16.76  																																																				| (1522) op(e0, e3) = e3
% 47.46/16.76  																																																				|
% 47.46/16.76  																																																				+-Applying beta-rule and splitting (441), into two cases.
% 47.46/16.76  																																																				|-Branch one:
% 47.46/16.76  																																																				| (442) all_0_92_92 = e4
% 47.46/16.76  																																																				|
% 47.46/16.76  																																																					| Equations (442) can reduce 1619 to:
% 47.46/16.76  																																																					| (311) $false
% 47.46/16.76  																																																					|
% 47.46/16.76  																																																					|-The branch is then unsatisfiable
% 47.46/16.76  																																																				|-Branch two:
% 47.46/16.76  																																																				| (1619)  ~ (all_0_92_92 = e4)
% 47.46/16.76  																																																				| (610) all_0_97_97 = e4
% 47.46/16.76  																																																				|
% 47.46/16.76  																																																					| Equations (610) can reduce 486 to:
% 47.46/16.76  																																																					| (256)  ~ (e4 = e1)
% 47.46/16.76  																																																					|
% 47.46/16.76  																																																					| Equations (610) can reduce 609 to:
% 47.46/16.76  																																																					| (23)  ~ (e4 = e0)
% 47.46/16.76  																																																					|
% 47.46/16.76  																																																					+-Applying beta-rule and splitting (835), into two cases.
% 47.46/16.76  																																																					|-Branch one:
% 47.46/16.76  																																																					| (836) all_0_92_92 = e1
% 47.46/16.76  																																																					|
% 47.46/16.76  																																																						| Equations (836) can reduce 426 to:
% 47.46/16.76  																																																						| (683)  ~ (e3 = e1)
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Simplifying 683 yields:
% 47.46/16.76  																																																						| (20)  ~ (e3 = e1)
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Equations (836) can reduce 298 to:
% 47.46/16.76  																																																						| (487)  ~ (e2 = e1)
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Simplifying 487 yields:
% 47.46/16.76  																																																						| (243)  ~ (e2 = e1)
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Instantiating formula (262) with e0, e4, all_0_71_71, e2 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e2, yields:
% 47.46/16.76  																																																						| (2601) all_0_71_71 = e2
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Instantiating formula (262) with e0, e3, all_0_24_24, all_0_11_11 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = all_0_24_24, yields:
% 47.46/16.76  																																																						| (41918) all_0_11_11 = all_0_24_24
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Instantiating formula (262) with e0, e3, all_0_51_51, all_0_24_24 and discharging atoms op(e0, e3) = all_0_24_24, op(e0, e3) = all_0_51_51, yields:
% 47.46/16.76  																																																						| (41919) all_0_24_24 = all_0_51_51
% 47.46/16.76  																																																						|
% 47.46/16.76  																																																						| Instantiating formula (262) with e0, e3, all_0_75_75, all_0_51_51 and discharging atoms op(e0, e3) = all_0_51_51, op(e0, e3) = all_0_75_75, yields:
% 47.46/16.77  																																																						| (28041) all_0_51_51 = all_0_75_75
% 47.46/16.77  																																																						|
% 47.46/16.77  																																																						| Instantiating formula (262) with e0, e3, e3, all_0_11_11 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = e3, yields:
% 47.46/16.77  																																																						| (41921) all_0_11_11 = e3
% 47.46/16.77  																																																						|
% 47.46/16.77  																																																						| Instantiating formula (262) with e0, e2, all_0_69_69, e0 and discharging atoms op(e0, e2) = all_0_69_69, op(e0, e2) = e0, yields:
% 47.46/16.77  																																																						| (2566) all_0_69_69 = e0
% 47.46/16.77  																																																						|
% 47.46/16.77  																																																						| Combining equations (41918,41921) yields a new equation:
% 47.46/16.77  																																																						| (41923) all_0_24_24 = e3
% 47.46/16.77  																																																						|
% 47.46/16.77  																																																						| Simplifying 41923 yields:
% 47.46/16.77  																																																						| (23198) all_0_24_24 = e3
% 47.46/16.77  																																																						|
% 47.46/16.77  																																																						| Combining equations (41919,23198) yields a new equation:
% 47.46/16.77  																																																						| (41925) all_0_51_51 = e3
% 47.46/16.77  																																																						|
% 47.46/16.78  																																																						| Simplifying 41925 yields:
% 47.46/16.78  																																																						| (1551) all_0_51_51 = e3
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						| Combining equations (28041,1551) yields a new equation:
% 47.46/16.78  																																																						| (9861) all_0_75_75 = e3
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						| Simplifying 9861 yields:
% 47.46/16.78  																																																						| (9862) all_0_75_75 = e3
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						+-Applying beta-rule and splitting (89), into two cases.
% 47.46/16.78  																																																						|-Branch one:
% 47.46/16.78  																																																						| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																							+-Applying beta-rule and splitting (1373), into two cases.
% 47.46/16.78  																																																							|-Branch one:
% 47.46/16.78  																																																							| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																								+-Applying beta-rule and splitting (1374), into two cases.
% 47.46/16.78  																																																								|-Branch one:
% 47.46/16.78  																																																								| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.46/16.78  																																																								|
% 47.46/16.78  																																																									| Applying alpha-rule on (1375) yields:
% 47.46/16.78  																																																									| (1376) all_0_69_69 = e4
% 47.46/16.78  																																																									| (1377)  ~ (all_0_70_70 = e0)
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									| Combining equations (2566,1376) yields a new equation:
% 47.46/16.78  																																																									| (912) e4 = e0
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									| Equations (912) can reduce 23 to:
% 47.46/16.78  																																																									| (311) $false
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									|-The branch is then unsatisfiable
% 47.46/16.78  																																																								|-Branch two:
% 47.46/16.78  																																																								| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.46/16.78  																																																								|
% 47.46/16.78  																																																									| Applying alpha-rule on (1379) yields:
% 47.46/16.78  																																																									| (1380) all_0_71_71 = e3
% 47.46/16.78  																																																									| (1381)  ~ (all_0_72_72 = e0)
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									| Combining equations (2601,1380) yields a new equation:
% 47.46/16.78  																																																									| (548) e3 = e2
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									| Equations (548) can reduce 169 to:
% 47.46/16.78  																																																									| (311) $false
% 47.46/16.78  																																																									|
% 47.46/16.78  																																																									|-The branch is then unsatisfiable
% 47.46/16.78  																																																							|-Branch two:
% 47.46/16.78  																																																							| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																								| Applying alpha-rule on (1385) yields:
% 47.46/16.78  																																																								| (1386) all_0_73_73 = e2
% 47.46/16.78  																																																								| (1387)  ~ (all_0_74_74 = e0)
% 47.46/16.78  																																																								|
% 47.46/16.78  																																																								| Combining equations (2602,1386) yields a new equation:
% 47.46/16.78  																																																								| (385) e2 = e1
% 47.46/16.78  																																																								|
% 47.46/16.78  																																																								| Equations (385) can reduce 243 to:
% 47.46/16.78  																																																								| (311) $false
% 47.46/16.78  																																																								|
% 47.46/16.78  																																																								|-The branch is then unsatisfiable
% 47.46/16.78  																																																						|-Branch two:
% 47.46/16.78  																																																						| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																							| Applying alpha-rule on (1391) yields:
% 47.46/16.78  																																																							| (1392) all_0_75_75 = e1
% 47.46/16.78  																																																							| (1393)  ~ (all_0_76_76 = e0)
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																							| Combining equations (9862,1392) yields a new equation:
% 47.46/16.78  																																																							| (825) e3 = e1
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																							| Simplifying 825 yields:
% 47.46/16.78  																																																							| (772) e3 = e1
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																							| Equations (772) can reduce 20 to:
% 47.46/16.78  																																																							| (311) $false
% 47.46/16.78  																																																							|
% 47.46/16.78  																																																							|-The branch is then unsatisfiable
% 47.46/16.78  																																																					|-Branch two:
% 47.46/16.78  																																																					| (840)  ~ (all_0_92_92 = e1)
% 47.46/16.78  																																																					| (542) all_0_97_97 = e1
% 47.46/16.78  																																																					|
% 47.46/16.78  																																																						| Combining equations (610,542) yields a new equation:
% 47.46/16.78  																																																						| (813) e4 = e1
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						| Simplifying 813 yields:
% 47.46/16.78  																																																						| (814) e4 = e1
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						| Equations (814) can reduce 256 to:
% 47.46/16.78  																																																						| (311) $false
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						|-The branch is then unsatisfiable
% 47.46/16.78  																																																			|-Branch two:
% 47.46/16.78  																																																			| (765)  ~ (all_0_95_95 = e3)
% 47.46/16.78  																																																			| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.46/16.78  																																																			|
% 47.46/16.78  																																																				+-Applying beta-rule and splitting (775), into two cases.
% 47.46/16.78  																																																				|-Branch one:
% 47.46/16.78  																																																				| (789) all_0_82_82 = e3
% 47.46/16.78  																																																				|
% 47.46/16.78  																																																					| Combining equations (530,789) yields a new equation:
% 47.46/16.78  																																																					| (548) e3 = e2
% 47.46/16.78  																																																					|
% 47.46/16.78  																																																					| Equations (548) can reduce 169 to:
% 47.46/16.78  																																																					| (311) $false
% 47.46/16.78  																																																					|
% 47.46/16.78  																																																					|-The branch is then unsatisfiable
% 47.46/16.78  																																																				|-Branch two:
% 47.46/16.78  																																																				| (793)  ~ (all_0_82_82 = e3)
% 47.46/16.78  																																																				| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.46/16.78  																																																				|
% 47.46/16.78  																																																					+-Applying beta-rule and splitting (794), into two cases.
% 47.46/16.78  																																																					|-Branch one:
% 47.46/16.78  																																																					| (754) all_0_90_90 = e3
% 47.46/16.78  																																																					|
% 47.46/16.78  																																																						| Combining equations (758,754) yields a new equation:
% 47.46/16.78  																																																						| (600) e3 = e0
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						| Equations (600) can reduce 50 to:
% 47.46/16.78  																																																						| (311) $false
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						|-The branch is then unsatisfiable
% 47.46/16.78  																																																					|-Branch two:
% 47.46/16.78  																																																					| (745)  ~ (all_0_90_90 = e3)
% 47.46/16.78  																																																					| (744) all_0_95_95 = e3
% 47.46/16.78  																																																					|
% 47.46/16.78  																																																						| Equations (744) can reduce 765 to:
% 47.46/16.78  																																																						| (311) $false
% 47.46/16.78  																																																						|
% 47.46/16.78  																																																						|-The branch is then unsatisfiable
% 47.46/16.78  																																										|-Branch two:
% 47.46/16.78  																																										| (1804)  ~ (all_0_98_98 = e1)
% 47.46/16.78  																																										| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.46/16.78  																																										|
% 47.56/16.78  																																											+-Applying beta-rule and splitting (5122), into two cases.
% 47.56/16.78  																																											|-Branch one:
% 47.56/16.78  																																											| (969) all_0_98_98 = e3
% 47.56/16.78  																																											|
% 47.56/16.78  																																												| Equations (969) can reduce 1519 to:
% 47.56/16.78  																																												| (311) $false
% 47.56/16.78  																																												|
% 47.56/16.78  																																												|-The branch is then unsatisfiable
% 47.56/16.78  																																											|-Branch two:
% 47.56/16.78  																																											| (1519)  ~ (all_0_98_98 = e3)
% 47.56/16.78  																																											| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 47.56/16.78  																																											|
% 47.56/16.78  																																												+-Applying beta-rule and splitting (5284), into two cases.
% 47.56/16.78  																																												|-Branch one:
% 47.56/16.78  																																												| (1121) all_0_98_98 = e0
% 47.56/16.78  																																												|
% 47.56/16.78  																																													| Equations (1121) can reduce 2059 to:
% 47.56/16.78  																																													| (311) $false
% 47.56/16.78  																																													|
% 47.56/16.78  																																													|-The branch is then unsatisfiable
% 47.56/16.78  																																												|-Branch two:
% 47.56/16.78  																																												| (2059)  ~ (all_0_98_98 = e0)
% 47.56/16.78  																																												| (2650) all_0_98_98 = e4
% 47.56/16.78  																																												|
% 47.56/16.78  																																													| Equations (2650) can reduce 321 to:
% 47.56/16.78  																																													| (311) $false
% 47.56/16.78  																																													|
% 47.56/16.78  																																													|-The branch is then unsatisfiable
% 47.56/16.78  																																								|-Branch two:
% 47.56/16.78  																																								| (396)  ~ (all_0_81_81 = e2)
% 47.56/16.78  																																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.56/16.78  																																								|
% 47.56/16.78  																																									+-Applying beta-rule and splitting (205), into two cases.
% 47.56/16.78  																																									|-Branch one:
% 47.56/16.78  																																									| (473) all_0_81_81 = e2
% 47.56/16.78  																																									|
% 47.56/16.78  																																										| Equations (473) can reduce 396 to:
% 47.56/16.78  																																										| (311) $false
% 47.56/16.78  																																										|
% 47.56/16.78  																																										|-The branch is then unsatisfiable
% 47.56/16.78  																																									|-Branch two:
% 47.56/16.78  																																									| (396)  ~ (all_0_81_81 = e2)
% 47.56/16.78  																																									| (503) all_0_85_85 = e2 | all_0_88_88 = e2 | all_0_93_93 = e2 | all_0_98_98 = e2
% 47.56/16.78  																																									|
% 47.56/16.78  																																										+-Applying beta-rule and splitting (3249), into two cases.
% 47.56/16.78  																																										|-Branch one:
% 47.56/16.78  																																										| (546) all_0_80_80 = e2
% 47.56/16.78  																																										|
% 47.56/16.78  																																											| Combining equations (416,546) yields a new equation:
% 47.56/16.78  																																											| (547) e3 = e2
% 47.56/16.78  																																											|
% 47.56/16.78  																																											| Simplifying 547 yields:
% 47.56/16.78  																																											| (548) e3 = e2
% 47.56/16.78  																																											|
% 47.56/16.78  																																											| Equations (548) can reduce 169 to:
% 47.56/16.78  																																											| (311) $false
% 47.56/16.78  																																											|
% 47.56/16.78  																																											|-The branch is then unsatisfiable
% 47.56/16.78  																																										|-Branch two:
% 47.56/16.78  																																										| (394)  ~ (all_0_80_80 = e2)
% 47.56/16.78  																																										| (473) all_0_81_81 = e2
% 47.56/16.78  																																										|
% 47.56/16.78  																																											| Equations (473) can reduce 396 to:
% 47.56/16.78  																																											| (311) $false
% 47.56/16.78  																																											|
% 47.56/16.78  																																											|-The branch is then unsatisfiable
% 47.56/16.78  																																							|-Branch two:
% 47.56/16.78  																																							| (640)  ~ (all_0_78_78 = e4)
% 47.56/16.78  																																							| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.56/16.78  																																							|
% 47.56/16.78  																																								+-Applying beta-rule and splitting (123), into two cases.
% 47.56/16.78  																																								|-Branch one:
% 47.56/16.78  																																								| (473) all_0_81_81 = e2
% 47.56/16.78  																																								|
% 47.56/16.78  																																									| Equations (473) can reduce 634 to:
% 47.56/16.78  																																									| (528)  ~ (e4 = e2)
% 47.56/16.78  																																									|
% 47.56/16.78  																																									| Simplifying 528 yields:
% 47.56/16.78  																																									| (79)  ~ (e4 = e2)
% 47.56/16.78  																																									|
% 47.56/16.78  																																									+-Applying beta-rule and splitting (641), into two cases.
% 47.56/16.78  																																									|-Branch one:
% 47.56/16.78  																																									| (433) all_0_80_80 = e4
% 47.56/16.78  																																									|
% 47.56/16.78  																																										| Combining equations (416,433) yields a new equation:
% 47.56/16.78  																																										| (434) e4 = e3
% 47.56/16.78  																																										|
% 47.56/16.78  																																										| Equations (434) can reduce 177 to:
% 47.56/16.78  																																										| (311) $false
% 47.56/16.78  																																										|
% 47.56/16.78  																																										|-The branch is then unsatisfiable
% 47.56/16.78  																																									|-Branch two:
% 47.56/16.78  																																									| (436)  ~ (all_0_80_80 = e4)
% 47.56/16.78  																																									| (638) all_0_81_81 = e4
% 47.56/16.78  																																									|
% 47.56/16.78  																																										| Combining equations (473,638) yields a new equation:
% 47.56/16.78  																																										| (310) e4 = e2
% 47.56/16.78  																																										|
% 47.56/16.78  																																										| Equations (310) can reduce 79 to:
% 47.56/16.78  																																										| (311) $false
% 47.56/16.78  																																										|
% 47.56/16.78  																																										|-The branch is then unsatisfiable
% 47.56/16.78  																																								|-Branch two:
% 47.56/16.78  																																								| (396)  ~ (all_0_81_81 = e2)
% 47.56/16.78  																																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.56/16.78  																																								|
% 47.56/16.78  																																									+-Applying beta-rule and splitting (48), into two cases.
% 47.56/16.78  																																									|-Branch one:
% 47.56/16.78  																																									| (525) all_0_98_98 = e2
% 47.56/16.78  																																									|
% 47.56/16.78  																																										| Equations (525) can reduce 1349 to:
% 47.56/16.78  																																										| (311) $false
% 47.56/16.78  																																										|
% 47.56/16.78  																																										|-The branch is then unsatisfiable
% 47.56/16.78  																																									|-Branch two:
% 47.56/16.78  																																									| (1349)  ~ (all_0_98_98 = e2)
% 47.56/16.78  																																									| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.56/16.78  																																									|
% 47.56/16.78  																																										+-Applying beta-rule and splitting (5118), into two cases.
% 47.56/16.78  																																										|-Branch one:
% 47.56/16.78  																																										| (1543) all_0_98_98 = e1
% 47.56/16.78  																																										|
% 47.56/16.78  																																											| Equations (1543) can reduce 5 to:
% 47.56/16.78  																																											| (628)  ~ (all_0_81_81 = e1)
% 47.56/16.78  																																											|
% 47.56/16.78  																																											+-Applying beta-rule and splitting (476), into two cases.
% 47.56/16.78  																																											|-Branch one:
% 47.56/16.78  																																											| (477) all_0_81_81 = e1
% 47.56/16.78  																																											|
% 47.56/16.78  																																												| Equations (477) can reduce 628 to:
% 47.56/16.78  																																												| (311) $false
% 47.56/16.78  																																												|
% 47.56/16.78  																																												|-The branch is then unsatisfiable
% 47.56/16.78  																																											|-Branch two:
% 47.56/16.78  																																											| (628)  ~ (all_0_81_81 = e1)
% 47.56/16.78  																																											| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.56/16.78  																																											|
% 47.56/16.78  																																												+-Applying beta-rule and splitting (629), into two cases.
% 47.56/16.78  																																												|-Branch one:
% 47.56/16.78  																																												| (635) all_0_81_81 = e3
% 47.56/16.78  																																												|
% 47.56/16.78  																																													| Equations (635) can reduce 420 to:
% 47.56/16.78  																																													| (311) $false
% 47.56/16.78  																																													|
% 47.56/16.78  																																													|-The branch is then unsatisfiable
% 47.56/16.78  																																												|-Branch two:
% 47.56/16.78  																																												| (420)  ~ (all_0_81_81 = e3)
% 47.56/16.78  																																												| (638) all_0_81_81 = e4
% 47.56/16.78  																																												|
% 47.56/16.78  																																													| Equations (638) can reduce 634 to:
% 47.56/16.78  																																													| (311) $false
% 47.56/16.78  																																													|
% 47.56/16.78  																																													|-The branch is then unsatisfiable
% 47.56/16.78  																																										|-Branch two:
% 47.56/16.78  																																										| (1804)  ~ (all_0_98_98 = e1)
% 47.56/16.78  																																										| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.56/16.78  																																										|
% 47.56/16.78  																																											+-Applying beta-rule and splitting (817), into two cases.
% 47.56/16.78  																																											|-Branch one:
% 47.56/16.78  																																											| (504) all_0_88_88 = e1
% 47.56/16.78  																																											|
% 47.56/16.78  																																												| Combining equations (504,507) yields a new equation:
% 47.56/16.78  																																												| (1107) e1 = e0
% 47.56/16.78  																																												|
% 47.56/16.78  																																												| Simplifying 1107 yields:
% 47.56/16.78  																																												| (865) e1 = e0
% 47.56/16.78  																																												|
% 47.56/16.78  																																												| Equations (865) can reduce 264 to:
% 47.56/16.78  																																												| (311) $false
% 47.56/16.78  																																												|
% 47.56/16.78  																																												|-The branch is then unsatisfiable
% 47.56/16.78  																																											|-Branch two:
% 47.56/16.78  																																											| (479)  ~ (all_0_88_88 = e1)
% 47.56/16.78  																																											| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.56/16.78  																																											|
% 47.56/16.78  																																												+-Applying beta-rule and splitting (897), into two cases.
% 47.56/16.78  																																												|-Branch one:
% 47.56/16.78  																																												| (566) all_0_93_93 = e1
% 47.56/16.78  																																												|
% 47.56/16.78  																																													| Combining equations (566,570) yields a new equation:
% 47.56/16.78  																																													| (772) e3 = e1
% 47.56/16.78  																																													|
% 47.56/16.78  																																													| Equations (772) can reduce 20 to:
% 47.56/16.78  																																													| (311) $false
% 47.56/16.78  																																													|
% 47.56/16.78  																																													|-The branch is then unsatisfiable
% 47.56/16.78  																																												|-Branch two:
% 47.56/16.78  																																												| (481)  ~ (all_0_93_93 = e1)
% 47.56/16.79  																																												| (1543) all_0_98_98 = e1
% 47.56/16.79  																																												|
% 47.56/16.79  																																													| Equations (1543) can reduce 1804 to:
% 47.56/16.79  																																													| (311) $false
% 47.56/16.79  																																													|
% 47.56/16.79  																																													|-The branch is then unsatisfiable
% 47.56/16.79  																															|-Branch two:
% 47.56/16.79  																															| (919)  ~ (all_0_84_84 = e0)
% 47.56/16.79  																															| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 47.56/16.79  																															|
% 47.56/16.79  																																+-Applying beta-rule and splitting (617), into two cases.
% 47.56/16.79  																																|-Branch one:
% 47.56/16.79  																																| (1265) all_0_84_84 = e3
% 47.56/16.79  																																|
% 47.56/16.79  																																	| Equations (1265) can reduce 422 to:
% 47.56/16.79  																																	| (311) $false
% 47.56/16.79  																																	|
% 47.56/16.79  																																	|-The branch is then unsatisfiable
% 47.56/16.79  																																|-Branch two:
% 47.56/16.79  																																| (422)  ~ (all_0_84_84 = e3)
% 47.56/16.79  																																| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.56/16.79  																																|
% 47.56/16.79  																																	+-Applying beta-rule and splitting (1268), into two cases.
% 47.56/16.79  																																	|-Branch one:
% 47.56/16.79  																																	| (916) all_0_84_84 = e0
% 47.56/16.79  																																	|
% 47.56/16.79  																																		| Equations (916) can reduce 919 to:
% 47.56/16.79  																																		| (311) $false
% 47.56/16.79  																																		|
% 47.56/16.79  																																		|-The branch is then unsatisfiable
% 47.56/16.79  																																	|-Branch two:
% 47.56/16.79  																																	| (919)  ~ (all_0_84_84 = e0)
% 47.56/16.79  																																	| (438) all_0_84_84 = e4
% 47.56/16.79  																																	|
% 47.56/16.79  																																		| Equations (438) can reduce 417 to:
% 47.56/16.79  																																		| (311) $false
% 47.56/16.79  																																		|
% 47.56/16.79  																																		|-The branch is then unsatisfiable
% 47.56/16.79  																														|-Branch two:
% 47.56/16.79  																														| (762)  ~ (all_0_90_90 = e0)
% 47.56/16.79  																														| (858) all_0_95_95 = e0
% 47.56/16.79  																														|
% 47.56/16.79  																															| Equations (858) can reduce 893 to:
% 47.56/16.79  																															| (311) $false
% 47.56/16.79  																															|
% 47.56/16.79  																															|-The branch is then unsatisfiable
% 47.56/16.79  																				|-Branch two:
% 47.56/16.79  																				| (347)  ~ (all_0_82_82 = e2)
% 47.56/16.79  																				| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 47.56/16.79  																				|
% 47.56/16.79  																					+-Applying beta-rule and splitting (725), into two cases.
% 47.56/16.79  																					|-Branch one:
% 47.56/16.79  																					| (804) all_0_85_85 = e3
% 47.56/16.79  																					|
% 47.56/16.79  																						| Equations (804) can reduce 952 to:
% 47.56/16.79  																						| (311) $false
% 47.56/16.79  																						|
% 47.56/16.79  																						|-The branch is then unsatisfiable
% 47.56/16.79  																					|-Branch two:
% 47.56/16.79  																					| (952)  ~ (all_0_85_85 = e3)
% 47.56/16.79  																					| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 47.56/16.79  																					|
% 47.56/16.79  																						+-Applying beta-rule and splitting (953), into two cases.
% 47.56/16.79  																						|-Branch one:
% 47.56/16.79  																						| (954) all_0_85_85 = e0
% 47.56/16.79  																						|
% 47.56/16.79  																							| Equations (954) can reduce 800 to:
% 47.56/16.79  																							| (311) $false
% 47.56/16.79  																							|
% 47.56/16.79  																							|-The branch is then unsatisfiable
% 47.56/16.79  																						|-Branch two:
% 47.56/16.79  																						| (800)  ~ (all_0_85_85 = e0)
% 47.56/16.79  																						| (493) all_0_85_85 = e4
% 47.56/16.79  																						|
% 47.56/16.79  																							| Equations (493) can reduce 209 to:
% 47.56/16.79  																							| (465)  ~ (all_0_82_82 = e4)
% 47.56/16.79  																							|
% 47.56/16.79  																							| Equations (493) can reduce 154 to:
% 47.56/16.79  																							| (417)  ~ (all_0_84_84 = e4)
% 47.56/16.79  																							|
% 47.56/16.79  																							+-Applying beta-rule and splitting (92), into two cases.
% 47.56/16.79  																							|-Branch one:
% 47.56/16.79  																							| (552) all_0_84_84 = e2
% 47.56/16.79  																							|
% 47.56/16.79  																								| Equations (552) can reduce 612 to:
% 47.56/16.79  																								| (311) $false
% 47.56/16.79  																								|
% 47.56/16.79  																								|-The branch is then unsatisfiable
% 47.56/16.79  																							|-Branch two:
% 47.56/16.79  																							| (612)  ~ (all_0_84_84 = e2)
% 47.56/16.79  																							| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.56/16.79  																							|
% 47.56/16.79  																								+-Applying beta-rule and splitting (10), into two cases.
% 47.56/16.79  																								|-Branch one:
% 47.56/16.79  																								| (530) all_0_82_82 = e2
% 47.56/16.79  																								|
% 47.56/16.79  																									| Equations (530) can reduce 347 to:
% 47.56/16.79  																									| (311) $false
% 47.56/16.79  																									|
% 47.56/16.79  																									|-The branch is then unsatisfiable
% 47.56/16.79  																								|-Branch two:
% 47.56/16.79  																								| (347)  ~ (all_0_82_82 = e2)
% 47.56/16.79  																								| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.56/16.79  																								|
% 47.56/16.79  																									+-Applying beta-rule and splitting (2205), into two cases.
% 47.56/16.79  																									|-Branch one:
% 47.56/16.79  																									| (789) all_0_82_82 = e3
% 47.56/16.79  																									|
% 47.56/16.79  																										| Equations (789) can reduce 793 to:
% 47.56/16.79  																										| (311) $false
% 47.56/16.79  																										|
% 47.56/16.79  																										|-The branch is then unsatisfiable
% 47.56/16.79  																									|-Branch two:
% 47.56/16.79  																									| (793)  ~ (all_0_82_82 = e3)
% 47.56/16.79  																									| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 47.56/16.79  																									|
% 47.56/16.79  																										+-Applying beta-rule and splitting (617), into two cases.
% 47.56/16.79  																										|-Branch one:
% 47.56/16.79  																										| (1265) all_0_84_84 = e3
% 47.56/16.79  																										|
% 47.56/16.79  																											| Equations (1265) can reduce 422 to:
% 47.56/16.79  																											| (311) $false
% 47.56/16.79  																											|
% 47.56/16.79  																											|-The branch is then unsatisfiable
% 47.56/16.79  																										|-Branch two:
% 47.56/16.79  																										| (422)  ~ (all_0_84_84 = e3)
% 47.56/16.79  																										| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.56/16.79  																										|
% 47.56/16.79  																											+-Applying beta-rule and splitting (1268), into two cases.
% 47.56/16.79  																											|-Branch one:
% 47.56/16.79  																											| (916) all_0_84_84 = e0
% 47.56/16.79  																											|
% 47.56/16.79  																												| Equations (916) can reduce 7 to:
% 47.56/16.79  																												| (914)  ~ (all_0_82_82 = e0)
% 47.56/16.79  																												|
% 47.56/16.79  																												+-Applying beta-rule and splitting (2706), into two cases.
% 47.56/16.79  																												|-Branch one:
% 47.56/16.79  																												| (910) all_0_82_82 = e0
% 47.56/16.79  																												|
% 47.56/16.79  																													| Equations (910) can reduce 914 to:
% 47.56/16.79  																													| (311) $false
% 47.56/16.79  																													|
% 47.56/16.79  																													|-The branch is then unsatisfiable
% 47.56/16.79  																												|-Branch two:
% 47.56/16.79  																												| (914)  ~ (all_0_82_82 = e0)
% 47.56/16.79  																												| (469) all_0_82_82 = e4
% 47.56/16.79  																												|
% 47.56/16.79  																													| Equations (469) can reduce 465 to:
% 47.56/16.79  																													| (311) $false
% 47.56/16.79  																													|
% 47.56/16.79  																													|-The branch is then unsatisfiable
% 47.56/16.79  																											|-Branch two:
% 47.56/16.79  																											| (919)  ~ (all_0_84_84 = e0)
% 47.56/16.79  																											| (438) all_0_84_84 = e4
% 47.56/16.79  																											|
% 47.56/16.79  																												| Equations (438) can reduce 417 to:
% 47.56/16.79  																												| (311) $false
% 47.56/16.79  																												|
% 47.56/16.79  																												|-The branch is then unsatisfiable
% 47.56/16.79  															|-Branch two:
% 47.56/16.79  															| (461)  ~ (all_0_79_79 = e1)
% 47.56/16.79  															| (1708) all_0_79_79 = e3
% 47.56/16.79  															|
% 47.56/16.79  																| Equations (1708) can reduce 1711 to:
% 47.56/16.79  																| (311) $false
% 47.56/16.79  																|
% 47.56/16.79  																|-The branch is then unsatisfiable
% 47.56/16.79  														|-Branch two:
% 47.56/16.79  														| (779)  ~ (all_0_83_83 = e3)
% 47.56/16.79  														| (798) all_0_83_83 = e0
% 47.56/16.79  														|
% 47.56/16.79  															| Equations (798) can reduce 1314 to:
% 47.56/16.79  															| (311) $false
% 47.56/16.79  															|
% 47.56/16.79  															|-The branch is then unsatisfiable
% 47.56/16.79  												|-Branch two:
% 47.56/16.79  												| (296)  ~ (all_0_91_91 = e2)
% 47.56/16.79  												| (1704) all_0_96_96 = e2
% 47.56/16.79  												|
% 47.56/16.79  													| Equations (1704) can reduce 1638 to:
% 47.56/16.79  													| (311) $false
% 47.56/16.79  													|
% 47.56/16.79  													|-The branch is then unsatisfiable
% 47.56/16.79  									|-Branch two:
% 47.56/16.79  									| (387)  ~ (all_0_86_86 = e1)
% 47.56/16.79  									| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 47.56/16.79  									|
% 47.56/16.79  										+-Applying beta-rule and splitting (388), into two cases.
% 47.56/16.79  										|-Branch one:
% 47.56/16.79  										| (482) all_0_87_87 = e1
% 47.56/16.79  										|
% 47.56/16.79  											| Combining equations (374,482) yields a new equation:
% 47.56/16.79  											| (408) e2 = e1
% 47.56/16.79  											|
% 47.56/16.79  											| Simplifying 408 yields:
% 47.56/16.79  											| (385) e2 = e1
% 47.56/16.79  											|
% 47.56/16.79  											| Equations (385) can reduce 243 to:
% 47.56/16.79  											| (311) $false
% 47.56/16.79  											|
% 47.56/16.79  											|-The branch is then unsatisfiable
% 47.56/16.79  										|-Branch two:
% 47.56/16.79  										| (625)  ~ (all_0_87_87 = e1)
% 47.56/16.79  										| (504) all_0_88_88 = e1
% 47.56/16.79  										|
% 47.56/16.79  											| Combining equations (507,504) yields a new equation:
% 47.56/16.79  											| (865) e1 = e0
% 47.56/16.79  											|
% 47.56/16.79  											| Equations (865) can reduce 264 to:
% 47.56/16.79  											| (311) $false
% 47.56/16.79  											|
% 47.56/16.79  											|-The branch is then unsatisfiable
% 47.56/16.79  				|-Branch two:
% 47.56/16.79  				| (349)  ~ (all_0_87_87 = e2)
% 47.56/16.79  				| (377) all_0_87_87 = e1 | all_0_87_87 = e0
% 47.56/16.79  				|
% 47.56/16.79  					+-Applying beta-rule and splitting (208), into two cases.
% 47.56/16.79  					|-Branch one:
% 47.56/16.79  					| (345) all_0_86_86 = e2
% 47.56/16.79  					|
% 47.56/16.79  						| Equations (345) can reduce 82 to:
% 47.56/16.79  						| (346)  ~ (all_0_78_78 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| Equations (345) can reduce 81 to:
% 47.56/16.79  						| (347)  ~ (all_0_82_82 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| Equations (345) can reduce 91 to:
% 47.56/16.79  						| (354)  ~ (all_0_95_95 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| Simplifying 354 yields:
% 47.56/16.79  						| (355)  ~ (all_0_95_95 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| Equations (345) can reduce 134 to:
% 47.56/16.79  						| (356)  ~ (e3 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| Simplifying 356 yields:
% 47.56/16.79  						| (169)  ~ (e3 = e2)
% 47.56/16.79  						|
% 47.56/16.79  						| From (345) and (74) follows:
% 47.56/16.79  						| (358) op(e2, e3) = all_0_16_16
% 47.56/16.79  						|
% 47.56/16.79  						| From (345) and (130) follows:
% 47.56/16.79  						| (359) op(e2, e2) = all_0_15_15
% 47.56/16.79  						|
% 47.56/16.79  						| From (345) and (167) follows:
% 47.56/16.79  						| (361) op(e2, e2) = all_0_47_47
% 47.56/16.79  						|
% 47.56/16.79  						| From (345) and (245) follows:
% 47.56/16.79  						| (362) op(e2, e3) = e2
% 47.56/16.79  						|
% 47.56/16.79  						+-Applying beta-rule and splitting (70), into two cases.
% 47.56/16.79  						|-Branch one:
% 47.56/16.79  						| (400) all_0_78_78 = e2
% 47.56/16.79  						|
% 47.56/16.79  							| Equations (400) can reduce 346 to:
% 47.56/16.79  							| (311) $false
% 47.56/16.79  							|
% 47.56/16.79  							|-The branch is then unsatisfiable
% 47.56/16.79  						|-Branch two:
% 47.56/16.79  						| (346)  ~ (all_0_78_78 = e2)
% 47.56/16.79  						| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.56/16.79  						|
% 47.56/16.79  							+-Applying beta-rule and splitting (403), into two cases.
% 47.56/16.79  							|-Branch one:
% 47.56/16.79  							| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.56/16.79  							|
% 47.56/16.79  								+-Applying beta-rule and splitting (404), into two cases.
% 47.56/16.79  								|-Branch one:
% 47.56/16.79  								| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.56/16.79  								|
% 47.56/16.79  									| Applying alpha-rule on (405) yields:
% 47.56/16.79  									| (406) all_0_39_39 = e1
% 47.56/16.79  									| (407)  ~ (all_0_40_40 = e4)
% 47.56/16.79  									|
% 47.56/16.79  									| Combining equations (406,30566) yields a new equation:
% 47.56/16.79  									| (1107) e1 = e0
% 47.56/16.79  									|
% 47.56/16.79  									| Simplifying 1107 yields:
% 47.56/16.79  									| (865) e1 = e0
% 47.56/16.79  									|
% 47.56/16.79  									| Equations (865) can reduce 264 to:
% 47.56/16.79  									| (311) $false
% 47.56/16.79  									|
% 47.56/16.79  									|-The branch is then unsatisfiable
% 47.56/16.79  								|-Branch two:
% 47.56/16.79  								| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.56/16.79  								|
% 47.56/16.79  									| Applying alpha-rule on (411) yields:
% 47.56/16.79  									| (337) all_0_41_41 = e0
% 47.56/16.79  									| (413)  ~ (all_0_42_42 = e4)
% 47.56/16.79  									|
% 47.56/16.79  									| Combining equations (30560,337) yields a new equation:
% 47.56/16.79  									| (37985) all_0_79_79 = e0
% 47.56/16.79  									|
% 47.56/16.80  									| Simplifying 37985 yields:
% 47.56/16.80  									| (37986) all_0_79_79 = e0
% 47.56/16.80  									|
% 47.56/16.80  									| Equations (37986) can reduce 9 to:
% 47.56/16.80  									| (311) $false
% 47.56/16.80  									|
% 47.56/16.80  									|-The branch is then unsatisfiable
% 47.56/16.80  							|-Branch two:
% 47.56/16.80  							| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.56/16.80  							|
% 47.56/16.80  								| Applying alpha-rule on (415) yields:
% 47.56/16.80  								| (416) all_0_80_80 = e3
% 47.56/16.80  								| (417)  ~ (all_0_84_84 = e4)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 67 to:
% 47.56/16.80  								| (418)  ~ (all_0_78_78 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 63 to:
% 47.56/16.80  								| (1711)  ~ (all_0_79_79 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 144 to:
% 47.56/16.80  								| (419)  ~ (all_0_81_81 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Simplifying 419 yields:
% 47.56/16.80  								| (420)  ~ (all_0_81_81 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 273 to:
% 47.56/16.80  								| (421)  ~ (all_0_84_84 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Simplifying 421 yields:
% 47.56/16.80  								| (422)  ~ (all_0_84_84 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 73 to:
% 47.56/16.80  								| (423)  ~ (all_0_87_87 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Simplifying 423 yields:
% 47.56/16.80  								| (227)  ~ (all_0_87_87 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 49 to:
% 47.56/16.80  								| (425)  ~ (all_0_92_92 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Simplifying 425 yields:
% 47.56/16.80  								| (426)  ~ (all_0_92_92 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 202 to:
% 47.56/16.80  								| (427)  ~ (all_0_97_97 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Simplifying 427 yields:
% 47.56/16.80  								| (428)  ~ (all_0_97_97 = e3)
% 47.56/16.80  								|
% 47.56/16.80  								| Equations (416) can reduce 166 to:
% 47.56/16.80  								| (50)  ~ (e3 = e0)
% 47.56/16.80  								|
% 47.56/16.80  								| From (416) and (233) follows:
% 47.56/16.80  								| (432) op(e1, e3) = all_0_60_60
% 47.56/16.80  								|
% 47.56/16.80  								+-Applying beta-rule and splitting (101), into two cases.
% 47.56/16.80  								|-Branch one:
% 47.56/16.80  								| (400) all_0_78_78 = e2
% 47.56/16.80  								|
% 47.56/16.80  									| Equations (400) can reduce 346 to:
% 47.56/16.80  									| (311) $false
% 47.56/16.80  									|
% 47.56/16.80  									|-The branch is then unsatisfiable
% 47.56/16.80  								|-Branch two:
% 47.56/16.80  								| (346)  ~ (all_0_78_78 = e2)
% 47.56/16.80  								| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.56/16.80  								|
% 47.56/16.80  									+-Applying beta-rule and splitting (1658), into two cases.
% 47.56/16.80  									|-Branch one:
% 47.56/16.80  									| (390) all_0_79_79 = e2
% 47.56/16.80  									|
% 47.56/16.80  										| Equations (390) can reduce 1622 to:
% 47.56/16.80  										| (311) $false
% 47.56/16.80  										|
% 47.56/16.80  										|-The branch is then unsatisfiable
% 47.56/16.80  									|-Branch two:
% 47.56/16.80  									| (1622)  ~ (all_0_79_79 = e2)
% 47.56/16.80  									| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 47.56/16.80  									|
% 47.56/16.80  										+-Applying beta-rule and splitting (3249), into two cases.
% 47.56/16.80  										|-Branch one:
% 47.56/16.80  										| (546) all_0_80_80 = e2
% 47.56/16.80  										|
% 47.56/16.80  											| Combining equations (416,546) yields a new equation:
% 47.56/16.80  											| (547) e3 = e2
% 47.56/16.80  											|
% 47.56/16.80  											| Simplifying 547 yields:
% 47.56/16.80  											| (548) e3 = e2
% 47.56/16.80  											|
% 47.56/16.80  											| Equations (548) can reduce 169 to:
% 47.56/16.80  											| (311) $false
% 47.56/16.80  											|
% 47.56/16.80  											|-The branch is then unsatisfiable
% 47.56/16.80  										|-Branch two:
% 47.56/16.80  										| (394)  ~ (all_0_80_80 = e2)
% 47.56/16.80  										| (473) all_0_81_81 = e2
% 47.56/16.80  										|
% 47.56/16.80  											| Equations (473) can reduce 278 to:
% 47.56/16.80  											| (346)  ~ (all_0_78_78 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Equations (473) can reduce 266 to:
% 47.56/16.80  											| (350)  ~ (all_0_88_88 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Simplifying 350 yields:
% 47.56/16.80  											| (351)  ~ (all_0_88_88 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Equations (473) can reduce 5 to:
% 47.56/16.80  											| (1348)  ~ (all_0_98_98 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Simplifying 1348 yields:
% 47.56/16.80  											| (1349)  ~ (all_0_98_98 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Equations (473) can reduce 420 to:
% 47.56/16.80  											| (356)  ~ (e3 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Simplifying 356 yields:
% 47.56/16.80  											| (169)  ~ (e3 = e2)
% 47.56/16.80  											|
% 47.56/16.80  											| Equations (473) can reduce 257 to:
% 47.56/16.80  											| (76)  ~ (e2 = e0)
% 47.56/16.80  											|
% 47.56/16.80  											| From (473) and (111) follows:
% 47.56/16.80  											| (4043) op(e2, e0) = all_0_7_7
% 47.56/16.80  											|
% 47.56/16.80  											| From (473) and (145) follows:
% 47.56/16.80  											| (1751) op(e0, e2) = all_0_69_69
% 47.56/16.80  											|
% 47.56/16.80  											+-Applying beta-rule and splitting (1623), into two cases.
% 47.56/16.80  											|-Branch one:
% 47.56/16.80  											| (457) all_0_79_79 = e1
% 47.56/16.80  											|
% 47.56/16.80  												| Equations (457) can reduce 66 to:
% 47.56/16.80  												| (1601)  ~ (all_0_78_78 = e1)
% 47.56/16.80  												|
% 47.56/16.80  												| Equations (457) can reduce 17 to:
% 47.56/16.80  												| (1669)  ~ (all_0_91_91 = e1)
% 47.56/16.80  												|
% 47.56/16.80  												| Simplifying 1669 yields:
% 47.56/16.80  												| (959)  ~ (all_0_91_91 = e1)
% 47.56/16.80  												|
% 47.56/16.80  												| Equations (457) can reduce 214 to:
% 47.56/16.80  												| (1671)  ~ (all_0_96_96 = e1)
% 47.56/16.80  												|
% 47.56/16.80  												| Simplifying 1671 yields:
% 47.56/16.80  												| (1479)  ~ (all_0_96_96 = e1)
% 47.56/16.80  												|
% 47.56/16.80  												| From (457) and (178) follows:
% 47.56/16.80  												| (1676) op(e1, e4) = all_0_2_2
% 47.56/16.80  												|
% 47.56/16.80  												| From (457) and (71) follows:
% 47.56/16.80  												| (1677) op(e1, e2) = all_0_3_3
% 47.56/16.80  												|
% 47.56/16.80  												| From (457) and (184) follows:
% 47.56/16.80  												| (1679) op(e2, e1) = all_0_52_52
% 47.56/16.80  												|
% 47.56/16.80  												+-Applying beta-rule and splitting (24), into two cases.
% 47.56/16.80  												|-Branch one:
% 47.56/16.80  												| (400) all_0_78_78 = e2
% 47.56/16.80  												|
% 47.56/16.80  													| Equations (400) can reduce 346 to:
% 47.56/16.80  													| (311) $false
% 47.56/16.80  													|
% 47.56/16.80  													|-The branch is then unsatisfiable
% 47.56/16.80  												|-Branch two:
% 47.56/16.80  												| (346)  ~ (all_0_78_78 = e2)
% 47.56/16.80  												| (675) all_0_78_78 = e4 | all_0_78_78 = e3 | all_0_78_78 = e1
% 47.56/16.80  												|
% 47.56/16.80  													+-Applying beta-rule and splitting (675), into two cases.
% 47.56/16.80  													|-Branch one:
% 47.56/16.80  													| (676) all_0_78_78 = e1
% 47.56/16.80  													|
% 47.56/16.80  														| Equations (676) can reduce 1601 to:
% 47.56/16.80  														| (311) $false
% 47.56/16.80  														|
% 47.56/16.80  														|-The branch is then unsatisfiable
% 47.56/16.80  													|-Branch two:
% 47.56/16.80  													| (1601)  ~ (all_0_78_78 = e1)
% 47.56/16.80  													| (1606) all_0_78_78 = e4 | all_0_78_78 = e3
% 47.56/16.80  													|
% 47.56/16.80  														+-Applying beta-rule and splitting (56), into two cases.
% 47.56/16.80  														|-Branch one:
% 47.56/16.80  														| (463) all_0_78_78 = e4
% 47.56/16.80  														|
% 47.56/16.80  															| Equations (463) can reduce 193 to:
% 47.56/16.80  															| (464)  ~ (all_0_82_82 = e4)
% 47.56/16.80  															|
% 47.56/16.80  															| Simplifying 464 yields:
% 47.56/16.80  															| (465)  ~ (all_0_82_82 = e4)
% 47.56/16.80  															|
% 47.56/16.80  															| Equations (463) can reduce 85 to:
% 47.56/16.80  															| (466)  ~ (all_0_90_90 = e4)
% 47.56/16.80  															|
% 47.56/16.80  															| Simplifying 466 yields:
% 47.56/16.80  															| (467)  ~ (all_0_90_90 = e4)
% 47.56/16.80  															|
% 47.56/16.80  															| Equations (463) can reduce 418 to:
% 47.56/16.80  															| (177)  ~ (e4 = e3)
% 47.56/16.80  															|
% 47.56/16.80  															| Equations (463) can reduce 86 to:
% 47.56/16.80  															| (23)  ~ (e4 = e0)
% 47.56/16.80  															|
% 47.56/16.80  															+-Applying beta-rule and splitting (210), into two cases.
% 47.56/16.80  															|-Branch one:
% 47.56/16.80  															| (433) all_0_80_80 = e4
% 47.56/16.80  															|
% 47.56/16.80  																| Combining equations (416,433) yields a new equation:
% 47.56/16.80  																| (434) e4 = e3
% 47.56/16.80  																|
% 47.56/16.80  																| Equations (434) can reduce 177 to:
% 47.56/16.80  																| (311) $false
% 47.56/16.80  																|
% 47.56/16.80  																|-The branch is then unsatisfiable
% 47.56/16.80  															|-Branch two:
% 47.56/16.80  															| (436)  ~ (all_0_80_80 = e4)
% 47.56/16.80  															| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.56/16.80  															|
% 47.56/16.80  																+-Applying beta-rule and splitting (109), into two cases.
% 47.56/16.80  																|-Branch one:
% 47.56/16.80  																| (469) all_0_82_82 = e4
% 47.56/16.80  																|
% 47.56/16.80  																	| Equations (469) can reduce 465 to:
% 47.56/16.80  																	| (311) $false
% 47.56/16.80  																	|
% 47.56/16.80  																	|-The branch is then unsatisfiable
% 47.56/16.80  																|-Branch two:
% 47.56/16.80  																| (465)  ~ (all_0_82_82 = e4)
% 47.56/16.80  																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.56/16.80  																|
% 47.56/16.80  																	+-Applying beta-rule and splitting (437), into two cases.
% 47.56/16.80  																	|-Branch one:
% 47.56/16.80  																	| (438) all_0_84_84 = e4
% 47.56/16.80  																	|
% 47.56/16.80  																		| Equations (438) can reduce 417 to:
% 47.56/16.80  																		| (311) $false
% 47.56/16.80  																		|
% 47.56/16.80  																		|-The branch is then unsatisfiable
% 47.56/16.80  																	|-Branch two:
% 47.56/16.80  																	| (417)  ~ (all_0_84_84 = e4)
% 47.56/16.80  																	| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.56/16.80  																	|
% 47.56/16.80  																		+-Applying beta-rule and splitting (472), into two cases.
% 47.56/16.80  																		|-Branch one:
% 47.56/16.80  																		| (438) all_0_84_84 = e4
% 47.56/16.80  																		|
% 47.56/16.80  																			| Equations (438) can reduce 417 to:
% 47.56/16.80  																			| (311) $false
% 47.56/16.80  																			|
% 47.56/16.80  																			|-The branch is then unsatisfiable
% 47.56/16.80  																		|-Branch two:
% 47.56/16.80  																		| (417)  ~ (all_0_84_84 = e4)
% 47.56/16.80  																		| (493) all_0_85_85 = e4
% 47.56/16.80  																		|
% 47.56/16.80  																			| Equations (493) can reduce 209 to:
% 47.56/16.80  																			| (465)  ~ (all_0_82_82 = e4)
% 47.56/16.80  																			|
% 47.56/16.80  																			| Equations (493) can reduce 201 to:
% 47.56/16.80  																			| (495)  ~ (all_0_93_93 = e4)
% 47.56/16.80  																			|
% 47.56/16.80  																			| Simplifying 495 yields:
% 47.56/16.80  																			| (496)  ~ (all_0_93_93 = e4)
% 47.56/16.80  																			|
% 47.56/16.80  																			| Equations (493) can reduce 128 to:
% 47.56/16.80  																			| (256)  ~ (e4 = e1)
% 47.56/16.80  																			|
% 47.56/16.80  																			| From (493) and (26) follows:
% 47.56/16.80  																			| (2742) op(e0, e4) = all_0_71_71
% 47.56/16.80  																			|
% 47.56/16.80  																			+-Applying beta-rule and splitting (441), into two cases.
% 47.56/16.80  																			|-Branch one:
% 47.56/16.80  																			| (442) all_0_92_92 = e4
% 47.56/16.80  																			|
% 47.56/16.80  																				| Equations (442) can reduce 1619 to:
% 47.56/16.80  																				| (311) $false
% 47.56/16.80  																				|
% 47.56/16.80  																				|-The branch is then unsatisfiable
% 47.56/16.80  																			|-Branch two:
% 47.56/16.80  																			| (1619)  ~ (all_0_92_92 = e4)
% 47.56/16.80  																			| (610) all_0_97_97 = e4
% 47.56/16.80  																			|
% 47.56/16.80  																				| Equations (610) can reduce 195 to:
% 47.56/16.80  																				| (417)  ~ (all_0_84_84 = e4)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 221 to:
% 47.56/16.80  																				| (216)  ~ (all_0_87_87 = e4)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 258 to:
% 47.56/16.80  																				| (1619)  ~ (all_0_92_92 = e4)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 105 to:
% 47.56/16.80  																				| (315)  ~ (all_0_95_95 = e4)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 22 to:
% 47.56/16.80  																				| (115)  ~ (all_0_96_96 = e4)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 428 to:
% 47.56/16.80  																				| (177)  ~ (e4 = e3)
% 47.56/16.80  																				|
% 47.56/16.80  																				| Equations (610) can reduce 527 to:
% 47.56/16.80  																				| (79)  ~ (e4 = e2)
% 47.56/16.80  																				|
% 47.56/16.80  																				| From (610) and (252) follows:
% 47.56/16.80  																				| (30644) op(e1, e4) = all_0_67_67
% 47.56/16.80  																				|
% 47.56/16.80  																				| From (610) and (69) follows:
% 47.56/16.80  																				| (30645) op(e0, e4) = all_0_68_68
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e2, e3, e2, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = e2, yields:
% 47.56/16.80  																				| (364) all_0_16_16 = e2
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e2, e2, all_0_15_15, e4 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = e4, yields:
% 47.56/16.80  																				| (365) all_0_15_15 = e4
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e2, e2, all_0_47_47, all_0_15_15 and discharging atoms op(e2, e2) = all_0_15_15, op(e2, e2) = all_0_47_47, yields:
% 47.56/16.80  																				| (366) all_0_15_15 = all_0_47_47
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e2, e1, all_0_52_52, all_0_87_87 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = all_0_87_87, yields:
% 47.56/16.80  																				| (1680) all_0_52_52 = all_0_87_87
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e2, e0, all_0_7_7, all_0_88_88 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_88_88, yields:
% 47.56/16.80  																				| (4074) all_0_7_7 = all_0_88_88
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e1, e4, all_0_2_2, e4 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = e4, yields:
% 47.56/16.80  																				| (38140) all_0_2_2 = e4
% 47.56/16.80  																				|
% 47.56/16.80  																				| Instantiating formula (262) with e1, e4, all_0_67_67, all_0_2_2 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = all_0_67_67, yields:
% 47.56/16.81  																				| (38141) all_0_2_2 = all_0_67_67
% 47.56/16.81  																				|
% 47.56/16.81  																				| Instantiating formula (262) with e1, e3, all_0_60_60, all_0_90_90 and discharging atoms op(e1, e3) = all_0_60_60, op(e1, e3) = all_0_90_90, yields:
% 47.56/16.81  																				| (451) all_0_60_60 = all_0_90_90
% 47.56/16.81  																				|
% 47.56/16.81  																				| Instantiating formula (262) with e1, e2, all_0_3_3, all_0_91_91 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = all_0_91_91, yields:
% 47.56/16.81  																				| (1682) all_0_3_3 = all_0_91_91
% 47.56/16.81  																				|
% 47.56/16.81  																				| Instantiating formula (262) with e0, e4, all_0_68_68, e2 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = e2, yields:
% 47.56/16.81  																				| (2850) all_0_68_68 = e2
% 47.56/16.81  																				|
% 47.56/16.81  																				| Instantiating formula (262) with e0, e4, all_0_71_71, all_0_68_68 and discharging atoms op(e0, e4) = all_0_68_68, op(e0, e4) = all_0_71_71, yields:
% 47.56/16.81  																				| (1369) all_0_68_68 = all_0_71_71
% 47.56/16.81  																				|
% 47.56/16.81  																				| Instantiating formula (262) with e0, e2, all_0_69_69, all_0_96_96 and discharging atoms op(e0, e2) = all_0_69_69, op(e0, e2) = all_0_96_96, yields:
% 47.56/16.81  																				| (1794) all_0_69_69 = all_0_96_96
% 47.56/16.81  																				|
% 47.56/16.81  																				| Combining equations (38140,38141) yields a new equation:
% 47.56/16.81  																				| (3520) all_0_67_67 = e4
% 47.56/16.81  																				|
% 47.56/16.81  																				| Combining equations (366,365) yields a new equation:
% 47.56/16.81  																				| (42251) all_0_47_47 = e4
% 47.56/16.81  																				|
% 47.56/16.81  																				| Simplifying 42251 yields:
% 47.56/16.81  																				| (367) all_0_47_47 = e4
% 47.56/16.81  																				|
% 47.56/16.81  																				| Combining equations (2850,1369) yields a new equation:
% 47.56/16.81  																				| (2601) all_0_71_71 = e2
% 47.56/16.81  																				|
% 47.56/16.81  																				| From (364) and (358) follows:
% 47.56/16.81  																				| (362) op(e2, e3) = e2
% 47.56/16.81  																				|
% 47.56/16.81  																				| From (367) and (361) follows:
% 47.56/16.81  																				| (6) op(e2, e2) = e4
% 47.56/16.81  																				|
% 47.56/16.81  																				| From (1680) and (1679) follows:
% 47.56/16.81  																				| (14) op(e2, e1) = all_0_87_87
% 47.56/16.81  																				|
% 47.56/16.81  																				| From (4074) and (4043) follows:
% 47.56/16.81  																				| (230) op(e2, e0) = all_0_88_88
% 47.56/16.81  																				|
% 47.56/16.81  																				| From (1682) and (1677) follows:
% 47.56/16.81  																				| (3) op(e1, e2) = all_0_91_91
% 47.56/16.81  																				|
% 47.56/16.81  																				+-Applying beta-rule and splitting (47), into two cases.
% 47.56/16.81  																				|-Branch one:
% 47.56/16.81  																				| (370) all_0_88_88 = e2
% 47.56/16.81  																				|
% 47.56/16.81  																					| Equations (370) can reduce 351 to:
% 47.56/16.81  																					| (311) $false
% 47.56/16.81  																					|
% 47.56/16.81  																					|-The branch is then unsatisfiable
% 47.56/16.81  																				|-Branch two:
% 47.56/16.81  																				| (351)  ~ (all_0_88_88 = e2)
% 47.56/16.81  																				| (373) all_0_88_88 = e1 | all_0_88_88 = e0
% 47.56/16.81  																				|
% 47.56/16.81  																					+-Applying beta-rule and splitting (237), into two cases.
% 47.56/16.81  																					|-Branch one:
% 47.56/16.81  																					| (378) all_0_86_86 = e0
% 47.56/16.81  																					|
% 47.56/16.81  																						| Combining equations (378,345) yields a new equation:
% 47.56/16.81  																						| (379) e2 = e0
% 47.56/16.81  																						|
% 47.56/16.81  																						| Equations (379) can reduce 76 to:
% 47.56/16.81  																						| (311) $false
% 47.56/16.81  																						|
% 47.56/16.81  																						|-The branch is then unsatisfiable
% 47.56/16.81  																					|-Branch two:
% 47.56/16.81  																					| (381)  ~ (all_0_86_86 = e0)
% 47.56/16.81  																					| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 47.56/16.81  																					|
% 47.56/16.81  																						| Equations (345) can reduce 381 to:
% 47.56/16.81  																						| (76)  ~ (e2 = e0)
% 47.56/16.81  																						|
% 47.56/16.81  																						+-Applying beta-rule and splitting (41), into two cases.
% 47.56/16.81  																						|-Branch one:
% 47.56/16.81  																						| (530) all_0_82_82 = e2
% 47.56/16.81  																						|
% 47.56/16.81  																							| Equations (530) can reduce 347 to:
% 47.56/16.81  																							| (311) $false
% 47.56/16.81  																							|
% 47.56/16.81  																							|-The branch is then unsatisfiable
% 47.56/16.81  																						|-Branch two:
% 47.56/16.81  																						| (347)  ~ (all_0_82_82 = e2)
% 47.56/16.81  																						| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 47.56/16.81  																						|
% 47.56/16.81  																							+-Applying beta-rule and splitting (276), into two cases.
% 47.56/16.81  																							|-Branch one:
% 47.56/16.81  																							| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.56/16.81  																							|
% 47.56/16.81  																								+-Applying beta-rule and splitting (577), into two cases.
% 47.56/16.81  																								|-Branch one:
% 47.56/16.81  																								| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.56/16.81  																								|
% 47.56/16.81  																									+-Applying beta-rule and splitting (578), into two cases.
% 47.56/16.81  																									|-Branch one:
% 47.56/16.81  																									| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.56/16.81  																									|
% 47.56/16.81  																										| Applying alpha-rule on (579) yields:
% 47.56/16.81  																										| (580) all_0_60_60 = e4
% 47.56/16.81  																										| (581)  ~ (all_0_61_61 = e1)
% 47.56/16.81  																										|
% 47.56/16.81  																										| Combining equations (451,580) yields a new equation:
% 47.56/16.81  																										| (582) all_0_90_90 = e4
% 47.56/16.81  																										|
% 47.56/16.81  																										| Simplifying 582 yields:
% 47.56/16.81  																										| (583) all_0_90_90 = e4
% 47.56/16.81  																										|
% 47.56/16.81  																										| Equations (583) can reduce 467 to:
% 47.56/16.81  																										| (311) $false
% 47.56/16.81  																										|
% 47.56/16.81  																										|-The branch is then unsatisfiable
% 47.56/16.81  																									|-Branch two:
% 47.56/16.81  																									| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.56/16.81  																									|
% 47.56/16.81  																										| Applying alpha-rule on (585) yields:
% 47.56/16.81  																										| (586) all_0_62_62 = e3
% 47.56/16.81  																										| (587)  ~ (all_0_63_63 = e1)
% 47.56/16.81  																										|
% 47.56/16.81  																										| From (586) and (122) follows:
% 47.56/16.81  																										| (5563) op(e1, all_0_84_84) = e3
% 47.56/16.81  																										|
% 47.56/16.81  																										+-Applying beta-rule and splitting (92), into two cases.
% 47.56/16.81  																										|-Branch one:
% 47.56/16.81  																										| (552) all_0_84_84 = e2
% 47.56/16.81  																										|
% 47.56/16.81  																											| Equations (552) can reduce 223 to:
% 47.56/16.81  																											| (398)  ~ (all_0_83_83 = e2)
% 47.56/16.81  																											|
% 47.56/16.81  																											| Equations (552) can reduce 422 to:
% 47.56/16.81  																											| (356)  ~ (e3 = e2)
% 47.56/16.81  																											|
% 47.56/16.81  																											| Simplifying 356 yields:
% 47.56/16.81  																											| (169)  ~ (e3 = e2)
% 47.56/16.81  																											|
% 47.56/16.81  																											| From (552) and (5563) follows:
% 47.56/16.81  																											| (22909) op(e1, e2) = e3
% 47.56/16.81  																											|
% 47.56/16.81  																											+-Applying beta-rule and splitting (1627), into two cases.
% 47.56/16.81  																											|-Branch one:
% 47.56/16.81  																											| (453) all_0_83_83 = e2
% 47.56/16.81  																											|
% 47.56/16.81  																												| Equations (453) can reduce 398 to:
% 47.56/16.81  																												| (311) $false
% 47.56/16.81  																												|
% 47.56/16.81  																												|-The branch is then unsatisfiable
% 47.56/16.81  																											|-Branch two:
% 47.56/16.81  																											| (398)  ~ (all_0_83_83 = e2)
% 47.56/16.81  																											| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.56/16.81  																											|
% 47.56/16.81  																												+-Applying beta-rule and splitting (8061), into two cases.
% 47.56/16.81  																												|-Branch one:
% 47.56/16.81  																												| (1723) all_0_91_91 = e2
% 47.56/16.81  																												|
% 47.56/16.81  																													| From (1723) and (51) follows:
% 47.56/16.82  																													| (42295) op(e1, e2) = all_0_57_57
% 47.56/16.82  																													|
% 47.56/16.82  																													| From (1723) and (3) follows:
% 47.56/16.82  																													| (32445) op(e1, e2) = e2
% 47.56/16.82  																													|
% 47.56/16.82  																													| Instantiating formula (262) with e1, e2, e3, all_0_57_57 and discharging atoms op(e1, e2) = all_0_57_57, op(e1, e2) = e3, yields:
% 47.56/16.82  																													| (3522) all_0_57_57 = e3
% 47.56/16.82  																													|
% 47.56/16.82  																													| Instantiating formula (262) with e1, e2, e2, all_0_57_57 and discharging atoms op(e1, e2) = all_0_57_57, op(e1, e2) = e2, yields:
% 47.56/16.82  																													| (32427) all_0_57_57 = e2
% 47.56/16.82  																													|
% 47.56/16.82  																													| Combining equations (32427,3522) yields a new equation:
% 47.56/16.82  																													| (548) e3 = e2
% 47.56/16.82  																													|
% 47.56/16.82  																													| Equations (548) can reduce 169 to:
% 47.56/16.82  																													| (311) $false
% 47.56/16.82  																													|
% 47.56/16.82  																													|-The branch is then unsatisfiable
% 47.56/16.82  																												|-Branch two:
% 47.56/16.82  																												| (296)  ~ (all_0_91_91 = e2)
% 47.56/16.82  																												| (1704) all_0_96_96 = e2
% 47.56/16.82  																												|
% 47.56/16.82  																													| Equations (1704) can reduce 1638 to:
% 47.56/16.82  																													| (311) $false
% 47.56/16.82  																													|
% 47.56/16.82  																													|-The branch is then unsatisfiable
% 47.56/16.82  																										|-Branch two:
% 47.56/16.82  																										| (612)  ~ (all_0_84_84 = e2)
% 47.56/16.82  																										| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.56/16.82  																										|
% 47.56/16.82  																											+-Applying beta-rule and splitting (617), into two cases.
% 47.56/16.82  																											|-Branch one:
% 47.56/16.82  																											| (1265) all_0_84_84 = e3
% 47.56/16.82  																											|
% 47.56/16.82  																												| Equations (1265) can reduce 422 to:
% 47.56/16.82  																												| (311) $false
% 47.56/16.82  																												|
% 47.56/16.82  																												|-The branch is then unsatisfiable
% 47.56/16.82  																											|-Branch two:
% 47.56/16.82  																											| (422)  ~ (all_0_84_84 = e3)
% 47.56/16.82  																											| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.56/16.82  																											|
% 47.56/16.82  																												+-Applying beta-rule and splitting (1268), into two cases.
% 47.56/16.82  																												|-Branch one:
% 47.56/16.82  																												| (916) all_0_84_84 = e0
% 47.56/16.82  																												|
% 47.56/16.82  																													| Equations (916) can reduce 124 to:
% 47.56/16.82  																													| (1317)  ~ (all_0_87_87 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Simplifying 1317 yields:
% 47.56/16.82  																													| (889)  ~ (all_0_87_87 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Equations (916) can reduce 87 to:
% 47.56/16.82  																													| (2299)  ~ (all_0_92_92 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Simplifying 2299 yields:
% 47.56/16.82  																													| (946)  ~ (all_0_92_92 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Equations (916) can reduce 422 to:
% 47.56/16.82  																													| (906)  ~ (e3 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Simplifying 906 yields:
% 47.56/16.82  																													| (50)  ~ (e3 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Equations (916) can reduce 612 to:
% 47.56/16.82  																													| (510)  ~ (e2 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| Simplifying 510 yields:
% 47.56/16.82  																													| (76)  ~ (e2 = e0)
% 47.56/16.82  																													|
% 47.56/16.82  																													| From (916) and (5563) follows:
% 47.56/16.82  																													| (573) op(e1, e0) = e3
% 47.56/16.82  																													|
% 47.56/16.82  																													+-Applying beta-rule and splitting (533), into two cases.
% 47.56/16.82  																													|-Branch one:
% 47.56/16.82  																													| (453) all_0_83_83 = e2
% 47.56/16.82  																													|
% 47.56/16.82  																														+-Applying beta-rule and splitting (171), into two cases.
% 47.56/16.82  																														|-Branch one:
% 47.56/16.82  																														| (789) all_0_82_82 = e3
% 47.56/16.82  																														|
% 47.56/16.82  																															| Equations (789) can reduce 200 to:
% 47.56/16.82  																															| (1070)  ~ (all_0_95_95 = e3)
% 47.56/16.82  																															|
% 47.56/16.82  																															| Simplifying 1070 yields:
% 47.56/16.82  																															| (765)  ~ (all_0_95_95 = e3)
% 47.56/16.82  																															|
% 47.56/16.82  																															+-Applying beta-rule and splitting (377), into two cases.
% 47.56/16.82  																															|-Branch one:
% 47.56/16.82  																															| (482) all_0_87_87 = e1
% 47.56/16.82  																															|
% 47.56/16.82  																																| Equations (482) can reduce 181 to:
% 47.56/16.82  																																| (478)  ~ (all_0_88_88 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																| Simplifying 478 yields:
% 47.56/16.82  																																| (479)  ~ (all_0_88_88 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																| Equations (482) can reduce 94 to:
% 47.56/16.82  																																| (2131)  ~ (all_0_92_92 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																| Simplifying 2131 yields:
% 47.56/16.82  																																| (840)  ~ (all_0_92_92 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																| Equations (482) can reduce 227 to:
% 47.56/16.82  																																| (683)  ~ (e3 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																| Simplifying 683 yields:
% 47.56/16.82  																																| (20)  ~ (e3 = e1)
% 47.56/16.82  																																|
% 47.56/16.82  																																+-Applying beta-rule and splitting (373), into two cases.
% 47.56/16.82  																																|-Branch one:
% 47.56/16.82  																																| (504) all_0_88_88 = e1
% 47.56/16.82  																																|
% 47.56/16.82  																																	| Equations (504) can reduce 479 to:
% 47.56/16.82  																																	| (311) $false
% 47.56/16.82  																																	|
% 47.56/16.82  																																	|-The branch is then unsatisfiable
% 47.56/16.82  																																|-Branch two:
% 47.56/16.82  																																| (479)  ~ (all_0_88_88 = e1)
% 47.56/16.82  																																| (507) all_0_88_88 = e0
% 47.56/16.82  																																|
% 47.56/16.82  																																	| Equations (507) can reduce 479 to:
% 47.56/16.82  																																	| (859)  ~ (e1 = e0)
% 47.56/16.82  																																	|
% 47.56/16.82  																																	| Simplifying 859 yields:
% 47.56/16.82  																																	| (264)  ~ (e1 = e0)
% 47.56/16.82  																																	|
% 47.56/16.82  																																	| From (507) and (239) follows:
% 47.56/16.82  																																	| (1338) op(e0, e0) = all_0_73_73
% 47.56/16.82  																																	|
% 47.56/16.82  																																	+-Applying beta-rule and splitting (119), into two cases.
% 47.56/16.82  																																	|-Branch one:
% 47.56/16.82  																																	| (1343) all_0_92_92 = e2
% 47.56/16.82  																																	|
% 47.56/16.82  																																		| Equations (1343) can reduce 283 to:
% 47.56/16.82  																																		| (299)  ~ (all_0_93_93 = e2)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Simplifying 299 yields:
% 47.56/16.82  																																		| (300)  ~ (all_0_93_93 = e2)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Equations (1343) can reduce 840 to:
% 47.56/16.82  																																		| (243)  ~ (e2 = e1)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Instantiating formula (262) with e1, e0, e3, all_0_93_93 and discharging atoms op(e1, e0) = all_0_93_93, op(e1, e0) = e3, yields:
% 47.56/16.82  																																		| (570) all_0_93_93 = e3
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Instantiating formula (262) with e0, e0, all_0_73_73, all_0_98_98 and discharging atoms op(e0, e0) = all_0_73_73, op(e0, e0) = all_0_98_98, yields:
% 47.56/16.82  																																		| (1370) all_0_73_73 = all_0_98_98
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Equations (570) can reduce 34 to:
% 47.56/16.82  																																		| (745)  ~ (all_0_90_90 = e3)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Equations (570) can reduce 13 to:
% 47.56/16.82  																																		| (1518)  ~ (all_0_98_98 = e3)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Simplifying 1518 yields:
% 47.56/16.82  																																		| (1519)  ~ (all_0_98_98 = e3)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Equations (570) can reduce 496 to:
% 47.56/16.82  																																		| (783)  ~ (e4 = e3)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Simplifying 783 yields:
% 47.56/16.82  																																		| (177)  ~ (e4 = e3)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| Equations (570) can reduce 300 to:
% 47.56/16.82  																																		| (169)  ~ (e3 = e2)
% 47.56/16.82  																																		|
% 47.56/16.82  																																		| From (570) and (173) follows:
% 47.56/16.82  																																		| (4654) op(e0, e3) = all_0_75_75
% 47.56/16.82  																																		|
% 47.56/16.82  																																		+-Applying beta-rule and splitting (89), into two cases.
% 47.56/16.82  																																		|-Branch one:
% 47.56/16.82  																																		| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.56/16.82  																																		|
% 47.56/16.82  																																			+-Applying beta-rule and splitting (1373), into two cases.
% 47.56/16.82  																																			|-Branch one:
% 47.56/16.82  																																			| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.56/16.82  																																			|
% 47.56/16.82  																																				+-Applying beta-rule and splitting (1374), into two cases.
% 47.56/16.82  																																				|-Branch one:
% 47.56/16.82  																																				| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.56/16.82  																																				|
% 47.56/16.82  																																					| Applying alpha-rule on (1375) yields:
% 47.56/16.82  																																					| (1376) all_0_69_69 = e4
% 47.56/16.82  																																					| (1377)  ~ (all_0_70_70 = e0)
% 47.56/16.82  																																					|
% 47.59/16.82  																																					| Combining equations (1376,1794) yields a new equation:
% 47.59/16.82  																																					| (16509) all_0_96_96 = e4
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Equations (16509) can reduce 115 to:
% 47.59/16.82  																																					| (311) $false
% 47.59/16.82  																																					|
% 47.59/16.82  																																					|-The branch is then unsatisfiable
% 47.59/16.82  																																				|-Branch two:
% 47.59/16.82  																																				| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.59/16.82  																																				|
% 47.59/16.82  																																					| Applying alpha-rule on (1379) yields:
% 47.59/16.82  																																					| (1380) all_0_71_71 = e3
% 47.59/16.82  																																					| (1381)  ~ (all_0_72_72 = e0)
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Combining equations (1380,2601) yields a new equation:
% 47.59/16.82  																																					| (547) e3 = e2
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Simplifying 547 yields:
% 47.59/16.82  																																					| (548) e3 = e2
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Equations (548) can reduce 169 to:
% 47.59/16.82  																																					| (311) $false
% 47.59/16.82  																																					|
% 47.59/16.82  																																					|-The branch is then unsatisfiable
% 47.59/16.82  																																			|-Branch two:
% 47.59/16.82  																																			| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.59/16.82  																																			|
% 47.59/16.82  																																				| Applying alpha-rule on (1385) yields:
% 47.59/16.82  																																				| (1386) all_0_73_73 = e2
% 47.59/16.82  																																				| (1387)  ~ (all_0_74_74 = e0)
% 47.59/16.82  																																				|
% 47.59/16.82  																																				| Combining equations (1386,1370) yields a new equation:
% 47.59/16.82  																																				| (525) all_0_98_98 = e2
% 47.59/16.82  																																				|
% 47.59/16.82  																																				| Equations (525) can reduce 1349 to:
% 47.59/16.82  																																				| (311) $false
% 47.59/16.82  																																				|
% 47.59/16.82  																																				|-The branch is then unsatisfiable
% 47.59/16.82  																																		|-Branch two:
% 47.59/16.82  																																		| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.59/16.82  																																		|
% 47.59/16.82  																																			| Applying alpha-rule on (1391) yields:
% 47.59/16.82  																																			| (1392) all_0_75_75 = e1
% 47.59/16.82  																																			| (1393)  ~ (all_0_76_76 = e0)
% 47.59/16.82  																																			|
% 47.59/16.82  																																			| From (1392) and (4654) follows:
% 47.59/16.82  																																			| (1511) op(e0, e3) = e1
% 47.59/16.82  																																			|
% 47.59/16.82  																																			+-Applying beta-rule and splitting (48), into two cases.
% 47.59/16.82  																																			|-Branch one:
% 47.59/16.82  																																			| (525) all_0_98_98 = e2
% 47.59/16.82  																																			|
% 47.59/16.82  																																				| Equations (525) can reduce 1349 to:
% 47.59/16.82  																																				| (311) $false
% 47.59/16.82  																																				|
% 47.59/16.82  																																				|-The branch is then unsatisfiable
% 47.59/16.82  																																			|-Branch two:
% 47.59/16.82  																																			| (1349)  ~ (all_0_98_98 = e2)
% 47.59/16.82  																																			| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.59/16.82  																																			|
% 47.59/16.82  																																				+-Applying beta-rule and splitting (5118), into two cases.
% 47.59/16.82  																																				|-Branch one:
% 47.59/16.82  																																				| (1543) all_0_98_98 = e1
% 47.59/16.82  																																				|
% 47.59/16.82  																																					| Equations (1543) can reduce 1519 to:
% 47.59/16.82  																																					| (683)  ~ (e3 = e1)
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Simplifying 683 yields:
% 47.59/16.82  																																					| (20)  ~ (e3 = e1)
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Equations (1543) can reduce 1349 to:
% 47.59/16.82  																																					| (487)  ~ (e2 = e1)
% 47.59/16.82  																																					|
% 47.59/16.82  																																					| Simplifying 487 yields:
% 47.59/16.82  																																					| (243)  ~ (e2 = e1)
% 47.59/16.82  																																					|
% 47.59/16.82  																																					+-Applying beta-rule and splitting (132), into two cases.
% 47.59/16.82  																																					|-Branch one:
% 47.59/16.82  																																					| (750) all_0_90_90 = e1
% 47.59/16.82  																																					|
% 47.59/16.82  																																						| Equations (750) can reduce 103 to:
% 47.59/16.82  																																						| (1669)  ~ (all_0_91_91 = e1)
% 47.59/16.82  																																						|
% 47.59/16.82  																																						| Simplifying 1669 yields:
% 47.59/16.82  																																						| (959)  ~ (all_0_91_91 = e1)
% 47.59/16.82  																																						|
% 47.59/16.83  																																						| Equations (750) can reduce 229 to:
% 47.59/16.83  																																						| (679)  ~ (all_0_95_95 = e1)
% 47.59/16.83  																																						|
% 47.59/16.83  																																						| Simplifying 679 yields:
% 47.59/16.83  																																						| (680)  ~ (all_0_95_95 = e1)
% 47.59/16.83  																																						|
% 47.59/16.83  																																						| Equations (750) can reduce 745 to:
% 47.59/16.83  																																						| (683)  ~ (e3 = e1)
% 47.59/16.83  																																						|
% 47.59/16.83  																																						| Simplifying 683 yields:
% 47.59/16.83  																																						| (20)  ~ (e3 = e1)
% 47.59/16.83  																																						|
% 47.59/16.83  																																						+-Applying beta-rule and splitting (270), into two cases.
% 47.59/16.83  																																						|-Branch one:
% 47.59/16.83  																																						| (744) all_0_95_95 = e3
% 47.59/16.83  																																						|
% 47.59/16.83  																																							| Equations (744) can reduce 765 to:
% 47.59/16.83  																																							| (311) $false
% 47.59/16.83  																																							|
% 47.59/16.83  																																							|-The branch is then unsatisfiable
% 47.59/16.83  																																						|-Branch two:
% 47.59/16.83  																																						| (765)  ~ (all_0_95_95 = e3)
% 47.59/16.83  																																						| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.59/16.83  																																						|
% 47.59/16.83  																																							+-Applying beta-rule and splitting (285), into two cases.
% 47.59/16.83  																																							|-Branch one:
% 47.59/16.83  																																							| (1708) all_0_79_79 = e3
% 47.59/16.83  																																							|
% 47.59/16.83  																																								| Combining equations (457,1708) yields a new equation:
% 47.59/16.83  																																								| (772) e3 = e1
% 47.59/16.83  																																								|
% 47.59/16.83  																																								| Equations (772) can reduce 20 to:
% 47.59/16.83  																																								| (311) $false
% 47.59/16.83  																																								|
% 47.59/16.83  																																								|-The branch is then unsatisfiable
% 47.59/16.83  																																							|-Branch two:
% 47.59/16.83  																																							| (1711)  ~ (all_0_79_79 = e3)
% 47.59/16.83  																																							| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.59/16.83  																																							|
% 47.59/16.83  																																								| Equations (457) can reduce 1711 to:
% 47.59/16.83  																																								| (683)  ~ (e3 = e1)
% 47.59/16.83  																																								|
% 47.59/16.83  																																								| Simplifying 683 yields:
% 47.59/16.83  																																								| (20)  ~ (e3 = e1)
% 47.59/16.83  																																								|
% 47.59/16.83  																																								+-Applying beta-rule and splitting (766), into two cases.
% 47.59/16.83  																																								|-Branch one:
% 47.59/16.83  																																								| (778) all_0_96_96 = e3
% 47.59/16.83  																																								|
% 47.59/16.83  																																									| Equations (778) can reduce 279 to:
% 47.59/16.83  																																									| (765)  ~ (all_0_95_95 = e3)
% 47.59/16.83  																																									|
% 47.59/16.83  																																									| From (778) and (268) follows:
% 47.59/16.83  																																									| (10600) op(e0, e3) = all_0_59_59
% 47.59/16.83  																																									|
% 47.59/16.83  																																									+-Applying beta-rule and splitting (102), into two cases.
% 47.59/16.83  																																									|-Branch one:
% 47.59/16.83  																																									| (858) all_0_95_95 = e0
% 47.59/16.83  																																									|
% 47.59/16.83  																																										| Equations (858) can reduce 765 to:
% 47.59/16.83  																																										| (906)  ~ (e3 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| Simplifying 906 yields:
% 47.59/16.83  																																										| (50)  ~ (e3 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| Equations (858) can reduce 355 to:
% 47.59/16.83  																																										| (510)  ~ (e2 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| Simplifying 510 yields:
% 47.59/16.83  																																										| (76)  ~ (e2 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| Equations (858) can reduce 680 to:
% 47.59/16.83  																																										| (859)  ~ (e1 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| Simplifying 859 yields:
% 47.59/16.83  																																										| (264)  ~ (e1 = e0)
% 47.59/16.83  																																										|
% 47.59/16.83  																																										| From (858) and (275) follows:
% 47.59/16.83  																																										| (20508) op(e0, e3) = e0
% 47.59/16.83  																																										|
% 47.59/16.83  																																										+-Applying beta-rule and splitting (291), into two cases.
% 47.59/16.83  																																										|-Branch one:
% 47.59/16.83  																																										| (758) all_0_90_90 = e0
% 47.59/16.83  																																										|
% 47.59/16.83  																																											| Combining equations (750,758) yields a new equation:
% 47.59/16.83  																																											| (1107) e1 = e0
% 47.59/16.83  																																											|
% 47.59/16.83  																																											| Simplifying 1107 yields:
% 47.59/16.83  																																											| (865) e1 = e0
% 47.59/16.83  																																											|
% 47.59/16.83  																																											| Equations (865) can reduce 264 to:
% 47.59/16.83  																																											| (311) $false
% 47.59/16.83  																																											|
% 47.59/16.83  																																											|-The branch is then unsatisfiable
% 47.59/16.83  																																										|-Branch two:
% 47.59/16.83  																																										| (762)  ~ (all_0_90_90 = e0)
% 47.59/16.83  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.59/16.83  																																										|
% 47.59/16.83  																																											+-Applying beta-rule and splitting (1455), into two cases.
% 47.59/16.83  																																											|-Branch one:
% 47.59/16.83  																																											| (1456) all_0_91_91 = e0
% 47.59/16.83  																																											|
% 47.59/16.83  																																												| Equations (1456) can reduce 959 to:
% 47.59/16.83  																																												| (859)  ~ (e1 = e0)
% 47.59/16.83  																																												|
% 47.59/16.83  																																												| Simplifying 859 yields:
% 47.59/16.83  																																												| (264)  ~ (e1 = e0)
% 47.59/16.83  																																												|
% 47.59/16.83  																																												| Instantiating formula (262) with e0, e3, e1, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e1, yields:
% 47.59/16.83  																																												| (10607) all_0_59_59 = e1
% 47.59/16.83  																																												|
% 47.59/16.83  																																												| Instantiating formula (262) with e0, e3, e0, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = e0, yields:
% 47.60/16.83  																																												| (20638) all_0_59_59 = e0
% 47.60/16.83  																																												|
% 47.60/16.83  																																												| Combining equations (20638,10607) yields a new equation:
% 47.60/16.83  																																												| (865) e1 = e0
% 47.60/16.83  																																												|
% 47.60/16.83  																																												| Equations (865) can reduce 264 to:
% 47.60/16.83  																																												| (311) $false
% 47.60/16.83  																																												|
% 47.60/16.83  																																												|-The branch is then unsatisfiable
% 47.60/16.83  																																											|-Branch two:
% 47.60/16.83  																																											| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.83  																																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.60/16.83  																																											|
% 47.60/16.83  																																												+-Applying beta-rule and splitting (1488), into two cases.
% 47.60/16.83  																																												|-Branch one:
% 47.60/16.83  																																												| (942) all_0_92_92 = e0
% 47.60/16.83  																																												|
% 47.60/16.83  																																													| Combining equations (1343,942) yields a new equation:
% 47.60/16.83  																																													| (923) e2 = e0
% 47.60/16.83  																																													|
% 47.60/16.83  																																													| Simplifying 923 yields:
% 47.60/16.83  																																													| (379) e2 = e0
% 47.60/16.83  																																													|
% 47.60/16.83  																																													| Equations (379) can reduce 76 to:
% 47.60/16.83  																																													| (311) $false
% 47.60/16.83  																																													|
% 47.60/16.83  																																													|-The branch is then unsatisfiable
% 47.60/16.83  																																												|-Branch two:
% 47.60/16.83  																																												| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.83  																																												| (604) all_0_93_93 = e0
% 47.60/16.83  																																												|
% 47.60/16.83  																																													| Combining equations (570,604) yields a new equation:
% 47.60/16.83  																																													| (599) e3 = e0
% 47.60/16.83  																																													|
% 47.60/16.83  																																													| Simplifying 599 yields:
% 47.60/16.83  																																													| (600) e3 = e0
% 47.60/16.83  																																													|
% 47.60/16.83  																																													| Equations (600) can reduce 50 to:
% 47.60/16.83  																																													| (311) $false
% 47.60/16.83  																																													|
% 47.60/16.83  																																													|-The branch is then unsatisfiable
% 47.60/16.83  																																									|-Branch two:
% 47.60/16.83  																																									| (893)  ~ (all_0_95_95 = e0)
% 47.60/16.83  																																									| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.60/16.83  																																									|
% 47.60/16.83  																																										+-Applying beta-rule and splitting (99), into two cases.
% 47.60/16.83  																																										|-Branch one:
% 47.60/16.83  																																										| (767) all_0_95_95 = e2
% 47.60/16.83  																																										|
% 47.60/16.83  																																											| Equations (767) can reduce 355 to:
% 47.60/16.83  																																											| (311) $false
% 47.60/16.83  																																											|
% 47.60/16.83  																																											|-The branch is then unsatisfiable
% 47.60/16.83  																																										|-Branch two:
% 47.60/16.83  																																										| (355)  ~ (all_0_95_95 = e2)
% 47.60/16.83  																																										| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.60/16.83  																																										|
% 47.60/16.83  																																											+-Applying beta-rule and splitting (770), into two cases.
% 47.60/16.83  																																											|-Branch one:
% 47.60/16.83  																																											| (785) all_0_95_95 = e1
% 47.60/16.83  																																											|
% 47.60/16.83  																																												| Equations (785) can reduce 680 to:
% 47.60/16.83  																																												| (311) $false
% 47.60/16.83  																																												|
% 47.60/16.83  																																												|-The branch is then unsatisfiable
% 47.60/16.83  																																											|-Branch two:
% 47.60/16.83  																																											| (680)  ~ (all_0_95_95 = e1)
% 47.60/16.83  																																											| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.60/16.83  																																											|
% 47.60/16.83  																																												+-Applying beta-rule and splitting (853), into two cases.
% 47.60/16.83  																																												|-Branch one:
% 47.60/16.83  																																												| (744) all_0_95_95 = e3
% 47.60/16.83  																																												|
% 47.60/16.83  																																													| Equations (744) can reduce 765 to:
% 47.60/16.83  																																													| (311) $false
% 47.60/16.83  																																													|
% 47.60/16.83  																																													|-The branch is then unsatisfiable
% 47.60/16.83  																																												|-Branch two:
% 47.60/16.83  																																												| (765)  ~ (all_0_95_95 = e3)
% 47.60/16.83  																																												| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.60/16.83  																																												|
% 47.60/16.83  																																													+-Applying beta-rule and splitting (857), into two cases.
% 47.60/16.83  																																													|-Branch one:
% 47.60/16.83  																																													| (858) all_0_95_95 = e0
% 47.60/16.83  																																													|
% 47.60/16.83  																																														| Equations (858) can reduce 893 to:
% 47.60/16.83  																																														| (311) $false
% 47.60/16.83  																																														|
% 47.60/16.83  																																														|-The branch is then unsatisfiable
% 47.60/16.83  																																													|-Branch two:
% 47.60/16.83  																																													| (893)  ~ (all_0_95_95 = e0)
% 47.60/16.83  																																													| (894) all_0_95_95 = e4
% 47.60/16.83  																																													|
% 47.60/16.83  																																														| Equations (894) can reduce 315 to:
% 47.60/16.83  																																														| (311) $false
% 47.60/16.83  																																														|
% 47.60/16.83  																																														|-The branch is then unsatisfiable
% 47.60/16.83  																																								|-Branch two:
% 47.60/16.83  																																								| (964)  ~ (all_0_96_96 = e3)
% 47.60/16.83  																																								| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 47.60/16.83  																																								|
% 47.60/16.83  																																									+-Applying beta-rule and splitting (965), into two cases.
% 47.60/16.83  																																									|-Branch one:
% 47.60/16.83  																																									| (556) all_0_97_97 = e3
% 47.60/16.83  																																									|
% 47.60/16.83  																																										| Combining equations (556,610) yields a new equation:
% 47.60/16.83  																																										| (434) e4 = e3
% 47.60/16.83  																																										|
% 47.60/16.83  																																										| Equations (434) can reduce 177 to:
% 47.60/16.83  																																										| (311) $false
% 47.60/16.83  																																										|
% 47.60/16.83  																																										|-The branch is then unsatisfiable
% 47.60/16.83  																																									|-Branch two:
% 47.60/16.83  																																									| (428)  ~ (all_0_97_97 = e3)
% 47.60/16.83  																																									| (969) all_0_98_98 = e3
% 47.60/16.83  																																									|
% 47.60/16.83  																																										| Combining equations (969,1543) yields a new equation:
% 47.60/16.83  																																										| (825) e3 = e1
% 47.60/16.83  																																										|
% 47.60/16.83  																																										| Simplifying 825 yields:
% 47.60/16.83  																																										| (772) e3 = e1
% 47.60/16.83  																																										|
% 47.60/16.83  																																										| Equations (772) can reduce 20 to:
% 47.60/16.83  																																										| (311) $false
% 47.60/16.83  																																										|
% 47.60/16.83  																																										|-The branch is then unsatisfiable
% 47.60/16.83  																																					|-Branch two:
% 47.60/16.83  																																					| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.83  																																					| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.83  																																					|
% 47.60/16.83  																																						+-Applying beta-rule and splitting (1526), into two cases.
% 47.60/16.83  																																						|-Branch one:
% 47.60/16.83  																																						| (801) all_0_91_91 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																							| Equations (801) can reduce 959 to:
% 47.60/16.83  																																							| (311) $false
% 47.60/16.83  																																							|
% 47.60/16.83  																																							|-The branch is then unsatisfiable
% 47.60/16.83  																																						|-Branch two:
% 47.60/16.83  																																						| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.83  																																						| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																							+-Applying beta-rule and splitting (1556), into two cases.
% 47.60/16.83  																																							|-Branch one:
% 47.60/16.83  																																							| (836) all_0_92_92 = e1
% 47.60/16.83  																																							|
% 47.60/16.83  																																								| Combining equations (1343,836) yields a new equation:
% 47.60/16.83  																																								| (408) e2 = e1
% 47.60/16.83  																																								|
% 47.60/16.83  																																								| Simplifying 408 yields:
% 47.60/16.83  																																								| (385) e2 = e1
% 47.60/16.83  																																								|
% 47.60/16.83  																																								| Equations (385) can reduce 243 to:
% 47.60/16.83  																																								| (311) $false
% 47.60/16.83  																																								|
% 47.60/16.83  																																								|-The branch is then unsatisfiable
% 47.60/16.83  																																							|-Branch two:
% 47.60/16.83  																																							| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.83  																																							| (566) all_0_93_93 = e1
% 47.60/16.83  																																							|
% 47.60/16.83  																																								| Combining equations (570,566) yields a new equation:
% 47.60/16.83  																																								| (825) e3 = e1
% 47.60/16.83  																																								|
% 47.60/16.83  																																								| Simplifying 825 yields:
% 47.60/16.83  																																								| (772) e3 = e1
% 47.60/16.83  																																								|
% 47.60/16.83  																																								| Equations (772) can reduce 20 to:
% 47.60/16.83  																																								| (311) $false
% 47.60/16.83  																																								|
% 47.60/16.83  																																								|-The branch is then unsatisfiable
% 47.60/16.83  																																				|-Branch two:
% 47.60/16.83  																																				| (1804)  ~ (all_0_98_98 = e1)
% 47.60/16.83  																																				| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.60/16.83  																																				|
% 47.60/16.83  																																					+-Applying beta-rule and splitting (108), into two cases.
% 47.60/16.83  																																					|-Branch one:
% 47.60/16.83  																																					| (477) all_0_81_81 = e1
% 47.60/16.83  																																					|
% 47.60/16.83  																																						| Combining equations (473,477) yields a new equation:
% 47.60/16.83  																																						| (408) e2 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																						| Simplifying 408 yields:
% 47.60/16.83  																																						| (385) e2 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																						| Equations (385) can reduce 243 to:
% 47.60/16.83  																																						| (311) $false
% 47.60/16.83  																																						|
% 47.60/16.83  																																						|-The branch is then unsatisfiable
% 47.60/16.83  																																					|-Branch two:
% 47.60/16.83  																																					| (628)  ~ (all_0_81_81 = e1)
% 47.60/16.83  																																					| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.60/16.83  																																					|
% 47.60/16.83  																																						+-Applying beta-rule and splitting (817), into two cases.
% 47.60/16.83  																																						|-Branch one:
% 47.60/16.83  																																						| (504) all_0_88_88 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																							| Combining equations (504,507) yields a new equation:
% 47.60/16.83  																																							| (1107) e1 = e0
% 47.60/16.83  																																							|
% 47.60/16.83  																																							| Simplifying 1107 yields:
% 47.60/16.83  																																							| (865) e1 = e0
% 47.60/16.83  																																							|
% 47.60/16.83  																																							| Equations (865) can reduce 264 to:
% 47.60/16.83  																																							| (311) $false
% 47.60/16.83  																																							|
% 47.60/16.83  																																							|-The branch is then unsatisfiable
% 47.60/16.83  																																						|-Branch two:
% 47.60/16.83  																																						| (479)  ~ (all_0_88_88 = e1)
% 47.60/16.83  																																						| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.60/16.83  																																						|
% 47.60/16.83  																																							+-Applying beta-rule and splitting (897), into two cases.
% 47.60/16.83  																																							|-Branch one:
% 47.60/16.83  																																							| (566) all_0_93_93 = e1
% 47.60/16.83  																																							|
% 47.60/16.83  																																								| Combining equations (566,570) yields a new equation:
% 47.60/16.83  																																								| (772) e3 = e1
% 47.60/16.83  																																								|
% 47.60/16.83  																																								| Equations (772) can reduce 20 to:
% 47.60/16.83  																																								| (311) $false
% 47.60/16.83  																																								|
% 47.60/16.83  																																								|-The branch is then unsatisfiable
% 47.60/16.83  																																							|-Branch two:
% 47.60/16.83  																																							| (481)  ~ (all_0_93_93 = e1)
% 47.60/16.83  																																							| (1543) all_0_98_98 = e1
% 47.60/16.83  																																							|
% 47.60/16.83  																																								| Equations (1543) can reduce 1804 to:
% 47.60/16.83  																																								| (311) $false
% 47.60/16.83  																																								|
% 47.60/16.83  																																								|-The branch is then unsatisfiable
% 47.60/16.83  																																	|-Branch two:
% 47.60/16.83  																																	| (298)  ~ (all_0_92_92 = e2)
% 47.60/16.83  																																	| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.60/16.83  																																	|
% 47.60/16.83  																																		+-Applying beta-rule and splitting (3735), into two cases.
% 47.60/16.83  																																		|-Branch one:
% 47.60/16.83  																																		| (836) all_0_92_92 = e1
% 47.60/16.83  																																		|
% 47.60/16.83  																																			| Equations (836) can reduce 840 to:
% 47.60/16.83  																																			| (311) $false
% 47.60/16.83  																																			|
% 47.60/16.83  																																			|-The branch is then unsatisfiable
% 47.60/16.83  																																		|-Branch two:
% 47.60/16.83  																																		| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.83  																																		| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 47.60/16.83  																																		|
% 47.60/16.83  																																			+-Applying beta-rule and splitting (3800), into two cases.
% 47.60/16.83  																																			|-Branch one:
% 47.60/16.83  																																			| (882) all_0_92_92 = e3
% 47.60/16.83  																																			|
% 47.60/16.83  																																				| Equations (882) can reduce 426 to:
% 47.60/16.83  																																				| (311) $false
% 47.60/16.83  																																				|
% 47.60/16.83  																																				|-The branch is then unsatisfiable
% 47.60/16.83  																																			|-Branch two:
% 47.60/16.83  																																			| (426)  ~ (all_0_92_92 = e3)
% 47.60/16.84  																																			| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 47.60/16.84  																																			|
% 47.60/16.84  																																				+-Applying beta-rule and splitting (16683), into two cases.
% 47.60/16.84  																																				|-Branch one:
% 47.60/16.84  																																				| (942) all_0_92_92 = e0
% 47.60/16.84  																																				|
% 47.60/16.84  																																					| Equations (942) can reduce 946 to:
% 47.60/16.84  																																					| (311) $false
% 47.60/16.84  																																					|
% 47.60/16.84  																																					|-The branch is then unsatisfiable
% 47.60/16.84  																																				|-Branch two:
% 47.60/16.84  																																				| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.84  																																				| (442) all_0_92_92 = e4
% 47.60/16.84  																																				|
% 47.60/16.84  																																					| Equations (442) can reduce 1619 to:
% 47.60/16.84  																																					| (311) $false
% 47.60/16.84  																																					|
% 47.60/16.84  																																					|-The branch is then unsatisfiable
% 47.60/16.84  																															|-Branch two:
% 47.60/16.84  																															| (625)  ~ (all_0_87_87 = e1)
% 47.60/16.84  																															| (861) all_0_87_87 = e0
% 47.60/16.84  																															|
% 47.60/16.84  																																| Equations (861) can reduce 889 to:
% 47.60/16.84  																																| (311) $false
% 47.60/16.84  																																|
% 47.60/16.84  																																|-The branch is then unsatisfiable
% 47.60/16.84  																														|-Branch two:
% 47.60/16.84  																														| (793)  ~ (all_0_82_82 = e3)
% 47.60/16.84  																														| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.60/16.84  																														|
% 47.60/16.84  																															+-Applying beta-rule and splitting (1296), into two cases.
% 47.60/16.84  																															|-Branch one:
% 47.60/16.84  																															| (795) all_0_83_83 = e3
% 47.60/16.84  																															|
% 47.60/16.84  																																| Combining equations (795,453) yields a new equation:
% 47.60/16.84  																																| (547) e3 = e2
% 47.60/16.84  																																|
% 47.60/16.84  																																| Simplifying 547 yields:
% 47.60/16.84  																																| (548) e3 = e2
% 47.60/16.84  																																|
% 47.60/16.84  																																| Equations (548) can reduce 169 to:
% 47.60/16.84  																																| (311) $false
% 47.60/16.84  																																|
% 47.60/16.84  																																|-The branch is then unsatisfiable
% 47.60/16.84  																															|-Branch two:
% 47.60/16.84  																															| (779)  ~ (all_0_83_83 = e3)
% 47.60/16.84  																															| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.60/16.84  																															|
% 47.60/16.84  																																+-Applying beta-rule and splitting (1594), into two cases.
% 47.60/16.84  																																|-Branch one:
% 47.60/16.84  																																| (1265) all_0_84_84 = e3
% 47.60/16.84  																																|
% 47.60/16.84  																																	| Combining equations (916,1265) yields a new equation:
% 47.60/16.84  																																	| (600) e3 = e0
% 47.60/16.84  																																	|
% 47.60/16.84  																																	| Equations (600) can reduce 50 to:
% 47.60/16.84  																																	| (311) $false
% 47.60/16.84  																																	|
% 47.60/16.84  																																	|-The branch is then unsatisfiable
% 47.60/16.84  																																|-Branch two:
% 47.60/16.84  																																| (422)  ~ (all_0_84_84 = e3)
% 47.60/16.84  																																| (804) all_0_85_85 = e3
% 47.60/16.84  																																|
% 47.60/16.84  																																	| Combining equations (493,804) yields a new equation:
% 47.60/16.84  																																	| (790) e4 = e3
% 47.60/16.84  																																	|
% 47.60/16.84  																																	| Simplifying 790 yields:
% 47.60/16.84  																																	| (434) e4 = e3
% 47.60/16.84  																																	|
% 47.60/16.84  																																	| Equations (434) can reduce 177 to:
% 47.60/16.84  																																	| (311) $false
% 47.60/16.84  																																	|
% 47.60/16.84  																																	|-The branch is then unsatisfiable
% 47.60/16.84  																													|-Branch two:
% 47.60/16.84  																													| (398)  ~ (all_0_83_83 = e2)
% 47.60/16.84  																													| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 47.60/16.84  																													|
% 47.60/16.84  																														+-Applying beta-rule and splitting (537), into two cases.
% 47.60/16.84  																														|-Branch one:
% 47.60/16.84  																														| (552) all_0_84_84 = e2
% 47.60/16.84  																														|
% 47.60/16.84  																															| Combining equations (916,552) yields a new equation:
% 47.60/16.84  																															| (379) e2 = e0
% 47.60/16.84  																															|
% 47.60/16.84  																															| Equations (379) can reduce 76 to:
% 47.60/16.84  																															| (311) $false
% 47.60/16.84  																															|
% 47.60/16.84  																															|-The branch is then unsatisfiable
% 47.60/16.84  																														|-Branch two:
% 47.60/16.84  																														| (612)  ~ (all_0_84_84 = e2)
% 47.60/16.84  																														| (512) all_0_85_85 = e2
% 47.60/16.84  																														|
% 47.60/16.84  																															| Combining equations (512,493) yields a new equation:
% 47.60/16.84  																															| (310) e4 = e2
% 47.60/16.84  																															|
% 47.60/16.84  																															| Equations (310) can reduce 79 to:
% 47.60/16.84  																															| (311) $false
% 47.60/16.84  																															|
% 47.60/16.84  																															|-The branch is then unsatisfiable
% 47.60/16.84  																												|-Branch two:
% 47.60/16.84  																												| (919)  ~ (all_0_84_84 = e0)
% 47.60/16.84  																												| (438) all_0_84_84 = e4
% 47.60/16.84  																												|
% 47.60/16.84  																													| Equations (438) can reduce 417 to:
% 47.60/16.84  																													| (311) $false
% 47.60/16.84  																													|
% 47.60/16.84  																													|-The branch is then unsatisfiable
% 47.60/16.84  																								|-Branch two:
% 47.60/16.84  																								| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.60/16.84  																								|
% 47.60/16.84  																									| Applying alpha-rule on (590) yields:
% 47.60/16.84  																									| (591) all_0_64_64 = e2
% 47.60/16.84  																									| (592)  ~ (all_0_65_65 = e1)
% 47.60/16.84  																									|
% 47.60/16.84  																									| From (591) and (16) follows:
% 47.60/16.84  																									| (4482) op(e1, all_0_87_87) = e2
% 47.60/16.84  																									|
% 47.60/16.84  																									+-Applying beta-rule and splitting (92), into two cases.
% 47.60/16.84  																									|-Branch one:
% 47.60/16.84  																									| (552) all_0_84_84 = e2
% 47.60/16.84  																									|
% 47.60/16.84  																										| Equations (552) can reduce 7 to:
% 47.60/16.84  																										| (347)  ~ (all_0_82_82 = e2)
% 47.60/16.84  																										|
% 47.60/16.84  																										| Equations (552) can reduce 223 to:
% 47.60/16.84  																										| (398)  ~ (all_0_83_83 = e2)
% 47.60/16.84  																										|
% 47.60/16.84  																										| Equations (552) can reduce 422 to:
% 47.60/16.84  																										| (356)  ~ (e3 = e2)
% 47.60/16.84  																										|
% 47.60/16.84  																										| Simplifying 356 yields:
% 47.60/16.84  																										| (169)  ~ (e3 = e2)
% 47.60/16.84  																										|
% 47.60/16.84  																										+-Applying beta-rule and splitting (1627), into two cases.
% 47.60/16.84  																										|-Branch one:
% 47.60/16.84  																										| (453) all_0_83_83 = e2
% 47.60/16.84  																										|
% 47.60/16.84  																											| Equations (453) can reduce 398 to:
% 47.60/16.84  																											| (311) $false
% 47.60/16.84  																											|
% 47.60/16.84  																											|-The branch is then unsatisfiable
% 47.60/16.84  																										|-Branch two:
% 47.60/16.84  																										| (398)  ~ (all_0_83_83 = e2)
% 47.60/16.84  																										| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.60/16.84  																										|
% 47.60/16.84  																											+-Applying beta-rule and splitting (8061), into two cases.
% 47.60/16.84  																											|-Branch one:
% 47.60/16.84  																											| (1723) all_0_91_91 = e2
% 47.60/16.84  																											|
% 47.60/16.84  																												| Equations (1723) can reduce 146 to:
% 47.60/16.84  																												| (398)  ~ (all_0_83_83 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| Equations (1723) can reduce 103 to:
% 47.60/16.84  																												| (294)  ~ (all_0_90_90 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| Equations (1723) can reduce 265 to:
% 47.60/16.84  																												| (297)  ~ (all_0_92_92 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| Simplifying 297 yields:
% 47.60/16.84  																												| (298)  ~ (all_0_92_92 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| Equations (1723) can reduce 64 to:
% 47.60/16.84  																												| (1637)  ~ (all_0_96_96 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| Simplifying 1637 yields:
% 47.60/16.84  																												| (1638)  ~ (all_0_96_96 = e2)
% 47.60/16.84  																												|
% 47.60/16.84  																												| From (1723) and (222) follows:
% 47.60/16.84  																												| (37229) op(e2, e2) = all_0_56_56
% 47.60/16.84  																												|
% 47.60/16.84  																												| Instantiating formula (262) with e2, e2, all_0_56_56, e4 and discharging atoms op(e2, e2) = all_0_56_56, op(e2, e2) = e4, yields:
% 47.60/16.84  																												| (37236) all_0_56_56 = e4
% 47.60/16.84  																												|
% 47.60/16.84  																												+-Applying beta-rule and splitting (52), into two cases.
% 47.60/16.84  																												|-Branch one:
% 47.60/16.84  																												| (453) all_0_83_83 = e2
% 47.60/16.84  																												|
% 47.60/16.84  																													| Equations (453) can reduce 398 to:
% 47.60/16.84  																													| (311) $false
% 47.60/16.84  																													|
% 47.60/16.84  																													|-The branch is then unsatisfiable
% 47.60/16.84  																												|-Branch two:
% 47.60/16.84  																												| (398)  ~ (all_0_83_83 = e2)
% 47.60/16.84  																												| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 47.60/16.84  																												|
% 47.60/16.84  																													+-Applying beta-rule and splitting (219), into two cases.
% 47.60/16.84  																													|-Branch one:
% 47.60/16.84  																													| (798) all_0_83_83 = e0
% 47.60/16.84  																													|
% 47.60/16.84  																														| Equations (798) can reduce 211 to:
% 47.60/16.84  																														| (2296)  ~ (all_0_96_96 = e0)
% 47.60/16.84  																														|
% 47.60/16.84  																														| Simplifying 2296 yields:
% 47.60/16.84  																														| (2095)  ~ (all_0_96_96 = e0)
% 47.60/16.84  																														|
% 47.60/16.84  																														| Equations (798) can reduce 398 to:
% 47.60/16.84  																														| (510)  ~ (e2 = e0)
% 47.60/16.84  																														|
% 47.60/16.84  																														| Simplifying 510 yields:
% 47.60/16.84  																														| (76)  ~ (e2 = e0)
% 47.60/16.84  																														|
% 47.60/16.84  																														| From (798) and (206) follows:
% 47.60/16.84  																														| (8092) op(e2, e0) = all_0_54_54
% 47.60/16.84  																														|
% 47.60/16.84  																														+-Applying beta-rule and splitting (84), into two cases.
% 47.60/16.84  																														|-Branch one:
% 47.60/16.84  																														| (1704) all_0_96_96 = e2
% 47.60/16.84  																														|
% 47.60/16.84  																															| Equations (1704) can reduce 1638 to:
% 47.60/16.84  																															| (311) $false
% 47.60/16.84  																															|
% 47.60/16.84  																															|-The branch is then unsatisfiable
% 47.60/16.84  																														|-Branch two:
% 47.60/16.84  																														| (1638)  ~ (all_0_96_96 = e2)
% 47.60/16.84  																														| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.60/16.84  																														|
% 47.60/16.84  																															+-Applying beta-rule and splitting (1707), into two cases.
% 47.60/16.84  																															|-Branch one:
% 47.60/16.84  																															| (960) all_0_96_96 = e1
% 47.60/16.84  																															|
% 47.60/16.84  																																| Equations (960) can reduce 1479 to:
% 47.60/16.84  																																| (311) $false
% 47.60/16.84  																																|
% 47.60/16.84  																																|-The branch is then unsatisfiable
% 47.60/16.84  																															|-Branch two:
% 47.60/16.84  																															| (1479)  ~ (all_0_96_96 = e1)
% 47.60/16.84  																															| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.60/16.84  																															|
% 47.60/16.84  																																+-Applying beta-rule and splitting (171), into two cases.
% 47.60/16.84  																																|-Branch one:
% 47.60/16.84  																																| (789) all_0_82_82 = e3
% 47.60/16.84  																																|
% 47.60/16.84  																																	| Equations (789) can reduce 255 to:
% 47.60/16.84  																																	| (1815)  ~ (all_0_90_90 = e3)
% 47.60/16.84  																																	|
% 47.60/16.84  																																	| Simplifying 1815 yields:
% 47.60/16.84  																																	| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.84  																																	|
% 47.60/16.84  																																	+-Applying beta-rule and splitting (2016), into two cases.
% 47.60/16.84  																																	|-Branch one:
% 47.60/16.84  																																	| (778) all_0_96_96 = e3
% 47.60/16.84  																																	|
% 47.60/16.84  																																		| Equations (778) can reduce 1638 to:
% 47.60/16.84  																																		| (169)  ~ (e3 = e2)
% 47.60/16.84  																																		|
% 47.60/16.84  																																		| From (778) and (212) follows:
% 47.60/16.84  																																		| (10599) op(e2, e3) = all_0_58_58
% 47.60/16.84  																																		|
% 47.60/16.84  																																		+-Applying beta-rule and splitting (282), into two cases.
% 47.60/16.84  																																		|-Branch one:
% 47.60/16.84  																																		| (754) all_0_90_90 = e3
% 47.60/16.84  																																		|
% 47.60/16.84  																																			| Equations (754) can reduce 745 to:
% 47.60/16.84  																																			| (311) $false
% 47.60/16.84  																																			|
% 47.60/16.84  																																			|-The branch is then unsatisfiable
% 47.60/16.84  																																		|-Branch two:
% 47.60/16.84  																																		| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.84  																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.84  																																		|
% 47.60/16.84  																																			+-Applying beta-rule and splitting (250), into two cases.
% 47.60/16.84  																																			|-Branch one:
% 47.60/16.84  																																			| (635) all_0_81_81 = e3
% 47.60/16.84  																																			|
% 47.60/16.84  																																				| Combining equations (473,635) yields a new equation:
% 47.60/16.84  																																				| (548) e3 = e2
% 47.60/16.84  																																				|
% 47.60/16.84  																																				| Equations (548) can reduce 169 to:
% 47.60/16.84  																																				| (311) $false
% 47.60/16.84  																																				|
% 47.60/16.84  																																				|-The branch is then unsatisfiable
% 47.60/16.84  																																			|-Branch two:
% 47.60/16.84  																																			| (420)  ~ (all_0_81_81 = e3)
% 47.60/16.84  																																			| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.60/16.84  																																			|
% 47.60/16.84  																																				| Equations (473) can reduce 420 to:
% 47.60/16.84  																																				| (356)  ~ (e3 = e2)
% 47.60/16.84  																																				|
% 47.60/16.84  																																				| Simplifying 356 yields:
% 47.60/16.84  																																				| (169)  ~ (e3 = e2)
% 47.60/16.84  																																				|
% 47.60/16.84  																																				+-Applying beta-rule and splitting (849), into two cases.
% 47.60/16.84  																																				|-Branch one:
% 47.60/16.84  																																				| (588) all_0_91_91 = e3
% 47.60/16.84  																																				|
% 47.60/16.84  																																					| Combining equations (588,1723) yields a new equation:
% 47.60/16.84  																																					| (547) e3 = e2
% 47.60/16.84  																																					|
% 47.60/16.84  																																					| Simplifying 547 yields:
% 47.60/16.84  																																					| (548) e3 = e2
% 47.60/16.84  																																					|
% 47.60/16.84  																																					| Equations (548) can reduce 169 to:
% 47.60/16.84  																																					| (311) $false
% 47.60/16.84  																																					|
% 47.60/16.84  																																					|-The branch is then unsatisfiable
% 47.60/16.84  																																				|-Branch two:
% 47.60/16.84  																																				| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.84  																																				| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.84  																																				|
% 47.60/16.84  																																					+-Applying beta-rule and splitting (881), into two cases.
% 47.60/16.84  																																					|-Branch one:
% 47.60/16.84  																																					| (882) all_0_92_92 = e3
% 47.60/16.84  																																					|
% 47.60/16.84  																																						| Equations (882) can reduce 426 to:
% 47.60/16.84  																																						| (311) $false
% 47.60/16.84  																																						|
% 47.60/16.84  																																						|-The branch is then unsatisfiable
% 47.60/16.84  																																					|-Branch two:
% 47.60/16.84  																																					| (426)  ~ (all_0_92_92 = e3)
% 47.60/16.84  																																					| (570) all_0_93_93 = e3
% 47.60/16.84  																																					|
% 47.60/16.84  																																						| Equations (570) can reduce 286 to:
% 47.60/16.84  																																						| (191)  ~ (all_0_88_88 = e3)
% 47.60/16.84  																																						|
% 47.60/16.84  																																						| Instantiating formula (262) with e2, e3, all_0_58_58, e2 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e2, yields:
% 47.60/16.84  																																						| (15842) all_0_58_58 = e2
% 47.60/16.84  																																						|
% 47.60/16.84  																																						| Instantiating formula (262) with e2, e0, all_0_54_54, all_0_88_88 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = all_0_88_88, yields:
% 47.60/16.84  																																						| (8093) all_0_54_54 = all_0_88_88
% 47.60/16.84  																																						|
% 47.60/16.84  																																						+-Applying beta-rule and splitting (33), into two cases.
% 47.60/16.84  																																						|-Branch one:
% 47.60/16.84  																																						| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.60/16.84  																																						|
% 47.60/16.84  																																							+-Applying beta-rule and splitting (1686), into two cases.
% 47.60/16.84  																																							|-Branch one:
% 47.60/16.84  																																							| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.60/16.84  																																							|
% 47.60/16.84  																																								+-Applying beta-rule and splitting (1687), into two cases.
% 47.60/16.84  																																								|-Branch one:
% 47.60/16.84  																																								| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.60/16.84  																																								|
% 47.60/16.84  																																									| Applying alpha-rule on (1688) yields:
% 47.60/16.84  																																									| (1689) all_0_52_52 = e4
% 47.60/16.85  																																									| (1690)  ~ (all_0_53_53 = e2)
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Combining equations (1680,1689) yields a new equation:
% 47.60/16.85  																																									| (1691) all_0_87_87 = e4
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Simplifying 1691 yields:
% 47.60/16.85  																																									| (1692) all_0_87_87 = e4
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Equations (1692) can reduce 216 to:
% 47.60/16.85  																																									| (311) $false
% 47.60/16.85  																																									|
% 47.60/16.85  																																									|-The branch is then unsatisfiable
% 47.60/16.85  																																								|-Branch two:
% 47.60/16.85  																																								| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.60/16.85  																																								|
% 47.60/16.85  																																									| Applying alpha-rule on (1694) yields:
% 47.60/16.85  																																									| (1695) all_0_54_54 = e3
% 47.60/16.85  																																									| (1696)  ~ (all_0_55_55 = e2)
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Combining equations (8093,1695) yields a new equation:
% 47.60/16.85  																																									| (42626) all_0_88_88 = e3
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Simplifying 42626 yields:
% 47.60/16.85  																																									| (8123) all_0_88_88 = e3
% 47.60/16.85  																																									|
% 47.60/16.85  																																									| Equations (8123) can reduce 191 to:
% 47.60/16.85  																																									| (311) $false
% 47.60/16.85  																																									|
% 47.60/16.85  																																									|-The branch is then unsatisfiable
% 47.60/16.85  																																							|-Branch two:
% 47.60/16.85  																																							| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.60/16.85  																																							|
% 47.60/16.85  																																								| Applying alpha-rule on (1700) yields:
% 47.60/16.85  																																								| (1701) all_0_56_56 = e1
% 47.60/16.85  																																								| (1702)  ~ (all_0_57_57 = e2)
% 47.60/16.85  																																								|
% 47.60/16.85  																																								| Combining equations (37236,1701) yields a new equation:
% 47.60/16.85  																																								| (813) e4 = e1
% 47.60/16.85  																																								|
% 47.60/16.85  																																								| Simplifying 813 yields:
% 47.60/16.85  																																								| (814) e4 = e1
% 47.60/16.85  																																								|
% 47.60/16.85  																																								| Equations (814) can reduce 256 to:
% 47.60/16.85  																																								| (311) $false
% 47.60/16.85  																																								|
% 47.60/16.85  																																								|-The branch is then unsatisfiable
% 47.60/16.85  																																						|-Branch two:
% 47.60/16.85  																																						| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.60/16.85  																																						|
% 47.60/16.85  																																							| Applying alpha-rule on (4957) yields:
% 47.60/16.85  																																							| (4958) all_0_58_58 = e0
% 47.60/16.85  																																							| (4959)  ~ (all_0_59_59 = e2)
% 47.60/16.85  																																							|
% 47.60/16.85  																																							| Combining equations (15842,4958) yields a new equation:
% 47.60/16.85  																																							| (923) e2 = e0
% 47.60/16.85  																																							|
% 47.60/16.85  																																							| Simplifying 923 yields:
% 47.60/16.85  																																							| (379) e2 = e0
% 47.60/16.85  																																							|
% 47.60/16.85  																																							| Equations (379) can reduce 76 to:
% 47.60/16.85  																																							| (311) $false
% 47.60/16.85  																																							|
% 47.60/16.85  																																							|-The branch is then unsatisfiable
% 47.60/16.85  																																	|-Branch two:
% 47.60/16.85  																																	| (964)  ~ (all_0_96_96 = e3)
% 47.60/16.85  																																	| (1837) all_0_96_96 = e0
% 47.60/16.85  																																	|
% 47.60/16.85  																																		| Equations (1837) can reduce 2095 to:
% 47.60/16.85  																																		| (311) $false
% 47.60/16.85  																																		|
% 47.60/16.85  																																		|-The branch is then unsatisfiable
% 47.60/16.85  																																|-Branch two:
% 47.60/16.85  																																| (793)  ~ (all_0_82_82 = e3)
% 47.60/16.85  																																| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.60/16.85  																																|
% 47.60/16.85  																																	+-Applying beta-rule and splitting (1296), into two cases.
% 47.60/16.85  																																	|-Branch one:
% 47.60/16.85  																																	| (795) all_0_83_83 = e3
% 47.60/16.85  																																	|
% 47.60/16.85  																																		| Combining equations (795,798) yields a new equation:
% 47.60/16.85  																																		| (599) e3 = e0
% 47.60/16.85  																																		|
% 47.60/16.85  																																		| Simplifying 599 yields:
% 47.60/16.85  																																		| (600) e3 = e0
% 47.60/16.85  																																		|
% 47.60/16.85  																																		| Equations (600) can reduce 50 to:
% 47.60/16.85  																																		| (311) $false
% 47.60/16.85  																																		|
% 47.60/16.85  																																		|-The branch is then unsatisfiable
% 47.60/16.85  																																	|-Branch two:
% 47.60/16.85  																																	| (779)  ~ (all_0_83_83 = e3)
% 47.60/16.85  																																	| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.60/16.85  																																	|
% 47.60/16.85  																																		+-Applying beta-rule and splitting (1594), into two cases.
% 47.60/16.85  																																		|-Branch one:
% 47.60/16.85  																																		| (1265) all_0_84_84 = e3
% 47.60/16.85  																																		|
% 47.60/16.85  																																			| Combining equations (1265,552) yields a new equation:
% 47.60/16.85  																																			| (547) e3 = e2
% 47.60/16.85  																																			|
% 47.60/16.85  																																			| Simplifying 547 yields:
% 47.60/16.85  																																			| (548) e3 = e2
% 47.60/16.85  																																			|
% 47.60/16.85  																																			| Equations (548) can reduce 169 to:
% 47.60/16.85  																																			| (311) $false
% 47.60/16.85  																																			|
% 47.60/16.85  																																			|-The branch is then unsatisfiable
% 47.60/16.85  																																		|-Branch two:
% 47.60/16.85  																																		| (422)  ~ (all_0_84_84 = e3)
% 47.60/16.85  																																		| (804) all_0_85_85 = e3
% 47.60/16.85  																																		|
% 47.60/16.85  																																			| Combining equations (804,493) yields a new equation:
% 47.60/16.85  																																			| (434) e4 = e3
% 47.60/16.85  																																			|
% 47.60/16.85  																																			| Equations (434) can reduce 177 to:
% 47.60/16.85  																																			| (311) $false
% 47.60/16.85  																																			|
% 47.60/16.85  																																			|-The branch is then unsatisfiable
% 47.60/16.85  																													|-Branch two:
% 47.60/16.85  																													| (1314)  ~ (all_0_83_83 = e0)
% 47.60/16.85  																													| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.60/16.85  																													|
% 47.60/16.85  																														+-Applying beta-rule and splitting (1400), into two cases.
% 47.60/16.85  																														|-Branch one:
% 47.60/16.85  																														| (1456) all_0_91_91 = e0
% 47.60/16.85  																														|
% 47.60/16.85  																															| Combining equations (1456,1723) yields a new equation:
% 47.60/16.85  																															| (379) e2 = e0
% 47.60/16.85  																															|
% 47.60/16.85  																															| Equations (379) can reduce 76 to:
% 47.60/16.85  																															| (311) $false
% 47.60/16.85  																															|
% 47.60/16.85  																															|-The branch is then unsatisfiable
% 47.60/16.85  																														|-Branch two:
% 47.60/16.85  																														| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.85  																														| (1837) all_0_96_96 = e0
% 47.60/16.85  																														|
% 47.60/16.85  																															| Equations (1837) can reduce 279 to:
% 47.60/16.85  																															| (893)  ~ (all_0_95_95 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Equations (1837) can reduce 43 to:
% 47.60/16.85  																															| (2058)  ~ (all_0_98_98 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Simplifying 2058 yields:
% 47.60/16.85  																															| (2059)  ~ (all_0_98_98 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Equations (1837) can reduce 115 to:
% 47.60/16.85  																															| (904)  ~ (e4 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Simplifying 904 yields:
% 47.60/16.85  																															| (23)  ~ (e4 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Equations (1837) can reduce 1638 to:
% 47.60/16.85  																															| (510)  ~ (e2 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| Simplifying 510 yields:
% 47.60/16.85  																															| (76)  ~ (e2 = e0)
% 47.60/16.85  																															|
% 47.60/16.85  																															| From (1837) and (212) follows:
% 47.60/16.85  																															| (10932) op(e2, e0) = all_0_58_58
% 47.60/16.85  																															|
% 47.60/16.85  																															+-Applying beta-rule and splitting (249), into two cases.
% 47.60/16.85  																															|-Branch one:
% 47.60/16.85  																															| (910) all_0_82_82 = e0
% 47.60/16.85  																															|
% 47.60/16.85  																																| Equations (910) can reduce 116 to:
% 47.60/16.86  																																| (42676)  ~ (all_0_83_83 = e0)
% 47.60/16.86  																																|
% 47.60/16.86  																																| Simplifying 42676 yields:
% 47.60/16.86  																																| (1314)  ~ (all_0_83_83 = e0)
% 47.60/16.86  																																|
% 47.60/16.86  																																| Equations (910) can reduce 255 to:
% 47.60/16.86  																																| (2710)  ~ (all_0_90_90 = e0)
% 47.60/16.86  																																|
% 47.60/16.86  																																| Simplifying 2710 yields:
% 47.60/16.86  																																| (762)  ~ (all_0_90_90 = e0)
% 47.60/16.86  																																|
% 47.60/16.86  																																+-Applying beta-rule and splitting (456), into two cases.
% 47.60/16.86  																																|-Branch one:
% 47.60/16.86  																																| (795) all_0_83_83 = e3
% 47.60/16.86  																																|
% 47.60/16.86  																																	| Equations (795) can reduce 398 to:
% 47.60/16.86  																																	| (169)  ~ (e3 = e2)
% 47.60/16.86  																																	|
% 47.60/16.86  																																	| From (795) and (206) follows:
% 47.60/16.86  																																	| (8280) op(e2, e3) = all_0_54_54
% 47.60/16.86  																																	|
% 47.60/16.86  																																	| Instantiating formula (262) with e2, e3, all_0_54_54, e2 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e2, yields:
% 47.60/16.86  																																	| (8281) all_0_54_54 = e2
% 47.60/16.86  																																	|
% 47.60/16.86  																																	| Instantiating formula (262) with e2, e0, all_0_58_58, all_0_88_88 and discharging atoms op(e2, e0) = all_0_58_58, op(e2, e0) = all_0_88_88, yields:
% 47.60/16.86  																																	| (42684) all_0_58_58 = all_0_88_88
% 47.60/16.86  																																	|
% 47.60/16.86  																																	+-Applying beta-rule and splitting (33), into two cases.
% 47.60/16.86  																																	|-Branch one:
% 47.60/16.86  																																	| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.60/16.86  																																	|
% 47.60/16.86  																																		+-Applying beta-rule and splitting (1686), into two cases.
% 47.60/16.86  																																		|-Branch one:
% 47.60/16.86  																																		| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.60/16.86  																																		|
% 47.60/16.86  																																			+-Applying beta-rule and splitting (1687), into two cases.
% 47.60/16.86  																																			|-Branch one:
% 47.60/16.86  																																			| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.60/16.86  																																			|
% 47.60/16.86  																																				| Applying alpha-rule on (1688) yields:
% 47.60/16.86  																																				| (1689) all_0_52_52 = e4
% 47.60/16.86  																																				| (1690)  ~ (all_0_53_53 = e2)
% 47.60/16.86  																																				|
% 47.60/16.86  																																				| Combining equations (1689,1680) yields a new equation:
% 47.60/16.86  																																				| (1692) all_0_87_87 = e4
% 47.60/16.86  																																				|
% 47.60/16.86  																																				| Equations (1692) can reduce 216 to:
% 47.60/16.86  																																				| (311) $false
% 47.60/16.86  																																				|
% 47.60/16.86  																																				|-The branch is then unsatisfiable
% 47.60/16.86  																																			|-Branch two:
% 47.60/16.86  																																			| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.60/16.86  																																			|
% 47.60/16.86  																																				| Applying alpha-rule on (1694) yields:
% 47.60/16.86  																																				| (1695) all_0_54_54 = e3
% 47.60/16.86  																																				| (1696)  ~ (all_0_55_55 = e2)
% 47.60/16.86  																																				|
% 47.60/16.86  																																				| Combining equations (1695,8281) yields a new equation:
% 47.60/16.86  																																				| (547) e3 = e2
% 47.60/16.86  																																				|
% 47.60/16.86  																																				| Simplifying 547 yields:
% 47.60/16.86  																																				| (548) e3 = e2
% 47.60/16.86  																																				|
% 47.60/16.86  																																				| Equations (548) can reduce 169 to:
% 47.60/16.86  																																				| (311) $false
% 47.60/16.86  																																				|
% 47.60/16.86  																																				|-The branch is then unsatisfiable
% 47.60/16.86  																																		|-Branch two:
% 47.60/16.86  																																		| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.60/16.86  																																		|
% 47.60/16.86  																																			| Applying alpha-rule on (1700) yields:
% 47.60/16.86  																																			| (1701) all_0_56_56 = e1
% 47.60/16.86  																																			| (1702)  ~ (all_0_57_57 = e2)
% 47.60/16.86  																																			|
% 47.60/16.86  																																			| Combining equations (1701,37236) yields a new equation:
% 47.60/16.86  																																			| (814) e4 = e1
% 47.60/16.86  																																			|
% 47.60/16.86  																																			| Equations (814) can reduce 256 to:
% 47.60/16.86  																																			| (311) $false
% 47.60/16.86  																																			|
% 47.60/16.86  																																			|-The branch is then unsatisfiable
% 47.60/16.86  																																	|-Branch two:
% 47.60/16.86  																																	| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.60/16.86  																																	|
% 47.60/16.86  																																		| Applying alpha-rule on (4957) yields:
% 47.60/16.86  																																		| (4958) all_0_58_58 = e0
% 47.60/16.86  																																		| (4959)  ~ (all_0_59_59 = e2)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Combining equations (4958,42684) yields a new equation:
% 47.60/16.86  																																		| (507) all_0_88_88 = e0
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Equations (507) can reduce 181 to:
% 47.60/16.86  																																		| (889)  ~ (all_0_87_87 = e0)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Equations (507) can reduce 286 to:
% 47.60/16.86  																																		| (508)  ~ (all_0_93_93 = e0)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Simplifying 508 yields:
% 47.60/16.86  																																		| (509)  ~ (all_0_93_93 = e0)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Equations (507) can reduce 351 to:
% 47.60/16.86  																																		| (510)  ~ (e2 = e0)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		| Simplifying 510 yields:
% 47.60/16.86  																																		| (76)  ~ (e2 = e0)
% 47.60/16.86  																																		|
% 47.60/16.86  																																		+-Applying beta-rule and splitting (291), into two cases.
% 47.60/16.86  																																		|-Branch one:
% 47.60/16.86  																																		| (758) all_0_90_90 = e0
% 47.60/16.86  																																		|
% 47.60/16.86  																																			| Equations (758) can reduce 762 to:
% 47.60/16.86  																																			| (311) $false
% 47.60/16.86  																																			|
% 47.60/16.86  																																			|-The branch is then unsatisfiable
% 47.60/16.86  																																		|-Branch two:
% 47.60/16.86  																																		| (762)  ~ (all_0_90_90 = e0)
% 47.60/16.86  																																		| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.60/16.86  																																		|
% 47.60/16.86  																																			+-Applying beta-rule and splitting (377), into two cases.
% 47.60/16.86  																																			|-Branch one:
% 47.60/16.86  																																			| (482) all_0_87_87 = e1
% 47.60/16.86  																																			|
% 47.60/16.86  																																				| From (482) and (4482) follows:
% 47.60/16.86  																																				| (4530) op(e1, e1) = e2
% 47.60/16.86  																																				|
% 47.60/16.86  																																				+-Applying beta-rule and splitting (1455), into two cases.
% 47.60/16.86  																																				|-Branch one:
% 47.60/16.86  																																				| (1456) all_0_91_91 = e0
% 47.60/16.86  																																				|
% 47.60/16.86  																																					| Combining equations (1723,1456) yields a new equation:
% 47.60/16.86  																																					| (923) e2 = e0
% 47.60/16.86  																																					|
% 47.60/16.86  																																					| Simplifying 923 yields:
% 47.60/16.86  																																					| (379) e2 = e0
% 47.60/16.86  																																					|
% 47.60/16.86  																																					| Equations (379) can reduce 76 to:
% 47.60/16.86  																																					| (311) $false
% 47.60/16.86  																																					|
% 47.60/16.86  																																					|-The branch is then unsatisfiable
% 47.60/16.86  																																				|-Branch two:
% 47.60/16.86  																																				| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.86  																																				| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.60/16.86  																																				|
% 47.60/16.86  																																					+-Applying beta-rule and splitting (1488), into two cases.
% 47.60/16.86  																																					|-Branch one:
% 47.60/16.86  																																					| (942) all_0_92_92 = e0
% 47.60/16.86  																																					|
% 47.60/16.86  																																						| Equations (942) can reduce 298 to:
% 47.60/16.86  																																						| (510)  ~ (e2 = e0)
% 47.60/16.86  																																						|
% 47.60/16.86  																																						| Simplifying 510 yields:
% 47.60/16.86  																																						| (76)  ~ (e2 = e0)
% 47.60/16.86  																																						|
% 47.60/16.87  																																						| From (942) and (135) follows:
% 47.60/16.87  																																						| (4548) op(e1, e1) = e0
% 47.60/16.87  																																						|
% 47.60/16.87  																																						| Instantiating formula (262) with e1, e1, e0, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e0, yields:
% 47.60/16.87  																																						| (379) e2 = e0
% 47.60/16.87  																																						|
% 47.60/16.87  																																						| Equations (379) can reduce 76 to:
% 47.60/16.87  																																						| (311) $false
% 47.60/16.87  																																						|
% 47.60/16.87  																																						|-The branch is then unsatisfiable
% 47.60/16.87  																																					|-Branch two:
% 47.60/16.87  																																					| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.87  																																					| (604) all_0_93_93 = e0
% 47.60/16.87  																																					|
% 47.60/16.87  																																						| Equations (604) can reduce 509 to:
% 47.60/16.87  																																						| (311) $false
% 47.60/16.87  																																						|
% 47.60/16.87  																																						|-The branch is then unsatisfiable
% 47.60/16.87  																																			|-Branch two:
% 47.60/16.87  																																			| (625)  ~ (all_0_87_87 = e1)
% 47.60/16.87  																																			| (861) all_0_87_87 = e0
% 47.60/16.87  																																			|
% 47.60/16.87  																																				| Equations (861) can reduce 889 to:
% 47.60/16.87  																																				| (311) $false
% 47.60/16.87  																																				|
% 47.60/16.87  																																				|-The branch is then unsatisfiable
% 47.60/16.87  																																|-Branch two:
% 47.60/16.87  																																| (779)  ~ (all_0_83_83 = e3)
% 47.60/16.87  																																| (798) all_0_83_83 = e0
% 47.60/16.87  																																|
% 47.60/16.87  																																	| Equations (798) can reduce 1314 to:
% 47.60/16.87  																																	| (311) $false
% 47.60/16.87  																																	|
% 47.60/16.87  																																	|-The branch is then unsatisfiable
% 47.60/16.87  																															|-Branch two:
% 47.60/16.87  																															| (914)  ~ (all_0_82_82 = e0)
% 47.60/16.87  																															| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.60/16.87  																															|
% 47.60/16.87  																																+-Applying beta-rule and splitting (10), into two cases.
% 47.60/16.87  																																|-Branch one:
% 47.60/16.87  																																| (530) all_0_82_82 = e2
% 47.60/16.87  																																|
% 47.60/16.87  																																	| Equations (530) can reduce 347 to:
% 47.60/16.87  																																	| (311) $false
% 47.60/16.87  																																	|
% 47.60/16.87  																																	|-The branch is then unsatisfiable
% 47.60/16.87  																																|-Branch two:
% 47.60/16.87  																																| (347)  ~ (all_0_82_82 = e2)
% 47.60/16.87  																																| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 47.60/16.87  																																|
% 47.60/16.87  																																	+-Applying beta-rule and splitting (254), into two cases.
% 47.60/16.87  																																	|-Branch one:
% 47.60/16.87  																																	| (910) all_0_82_82 = e0
% 47.60/16.87  																																	|
% 47.60/16.87  																																		| Equations (910) can reduce 914 to:
% 47.60/16.87  																																		| (311) $false
% 47.60/16.87  																																		|
% 47.60/16.87  																																		|-The branch is then unsatisfiable
% 47.60/16.87  																																	|-Branch two:
% 47.60/16.87  																																	| (914)  ~ (all_0_82_82 = e0)
% 47.60/16.87  																																	| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.60/16.87  																																	|
% 47.60/16.87  																																		+-Applying beta-rule and splitting (2205), into two cases.
% 47.60/16.87  																																		|-Branch one:
% 47.60/16.87  																																		| (789) all_0_82_82 = e3
% 47.60/16.87  																																		|
% 47.60/16.87  																																			| Equations (789) can reduce 255 to:
% 47.60/16.87  																																			| (1815)  ~ (all_0_90_90 = e3)
% 47.60/16.87  																																			|
% 47.60/16.87  																																			| Simplifying 1815 yields:
% 47.60/16.87  																																			| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.87  																																			|
% 47.60/16.87  																																			| Equations (789) can reduce 200 to:
% 47.60/16.87  																																			| (1070)  ~ (all_0_95_95 = e3)
% 47.60/16.87  																																			|
% 47.60/16.87  																																			| Simplifying 1070 yields:
% 47.60/16.87  																																			| (765)  ~ (all_0_95_95 = e3)
% 47.60/16.87  																																			|
% 47.60/16.87  																																			| Equations (789) can reduce 347 to:
% 47.60/16.87  																																			| (169)  ~ (e3 = e2)
% 47.60/16.87  																																			|
% 47.60/16.87  																																			+-Applying beta-rule and splitting (282), into two cases.
% 47.60/16.87  																																			|-Branch one:
% 47.60/16.87  																																			| (754) all_0_90_90 = e3
% 47.60/16.87  																																			|
% 47.60/16.87  																																				| Equations (754) can reduce 745 to:
% 47.60/16.87  																																				| (311) $false
% 47.60/16.87  																																				|
% 47.60/16.87  																																				|-The branch is then unsatisfiable
% 47.60/16.87  																																			|-Branch two:
% 47.60/16.87  																																			| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.87  																																			| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.87  																																			|
% 47.60/16.87  																																				+-Applying beta-rule and splitting (849), into two cases.
% 47.60/16.87  																																				|-Branch one:
% 47.60/16.87  																																				| (588) all_0_91_91 = e3
% 47.60/16.87  																																				|
% 47.60/16.87  																																					| Combining equations (588,1723) yields a new equation:
% 47.60/16.87  																																					| (547) e3 = e2
% 47.60/16.87  																																					|
% 47.60/16.87  																																					| Simplifying 547 yields:
% 47.60/16.87  																																					| (548) e3 = e2
% 47.60/16.87  																																					|
% 47.60/16.87  																																					| Equations (548) can reduce 169 to:
% 47.60/16.87  																																					| (311) $false
% 47.60/16.87  																																					|
% 47.60/16.87  																																					|-The branch is then unsatisfiable
% 47.60/16.87  																																				|-Branch two:
% 47.60/16.87  																																				| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.87  																																				| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.87  																																				|
% 47.60/16.87  																																					+-Applying beta-rule and splitting (881), into two cases.
% 47.60/16.87  																																					|-Branch one:
% 47.60/16.87  																																					| (882) all_0_92_92 = e3
% 47.60/16.87  																																					|
% 47.60/16.87  																																						| Equations (882) can reduce 426 to:
% 47.60/16.87  																																						| (311) $false
% 47.60/16.87  																																						|
% 47.60/16.87  																																						|-The branch is then unsatisfiable
% 47.60/16.87  																																					|-Branch two:
% 47.60/16.87  																																					| (426)  ~ (all_0_92_92 = e3)
% 47.60/16.87  																																					| (570) all_0_93_93 = e3
% 47.60/16.87  																																					|
% 47.60/16.87  																																						| Equations (570) can reduce 286 to:
% 47.60/16.87  																																						| (191)  ~ (all_0_88_88 = e3)
% 47.60/16.87  																																						|
% 47.60/16.87  																																						| Equations (570) can reduce 283 to:
% 47.60/16.87  																																						| (426)  ~ (all_0_92_92 = e3)
% 47.60/16.87  																																						|
% 47.60/16.87  																																						+-Applying beta-rule and splitting (915), into two cases.
% 47.60/16.87  																																						|-Branch one:
% 47.60/16.87  																																						| (378) all_0_86_86 = e0
% 47.60/16.87  																																						|
% 47.60/16.87  																																							| Combining equations (345,378) yields a new equation:
% 47.60/16.87  																																							| (923) e2 = e0
% 47.60/16.87  																																							|
% 47.60/16.87  																																							| Simplifying 923 yields:
% 47.60/16.87  																																							| (379) e2 = e0
% 47.60/16.87  																																							|
% 47.60/16.87  																																							| Equations (379) can reduce 76 to:
% 47.60/16.87  																																							| (311) $false
% 47.60/16.87  																																							|
% 47.60/16.87  																																							|-The branch is then unsatisfiable
% 47.60/16.87  																																						|-Branch two:
% 47.60/16.87  																																						| (381)  ~ (all_0_86_86 = e0)
% 47.60/16.87  																																						| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.60/16.87  																																						|
% 47.60/16.87  																																							+-Applying beta-rule and splitting (48), into two cases.
% 47.60/16.87  																																							|-Branch one:
% 47.60/16.87  																																							| (525) all_0_98_98 = e2
% 47.60/16.87  																																							|
% 47.60/16.87  																																								| Equations (525) can reduce 1349 to:
% 47.60/16.87  																																								| (311) $false
% 47.60/16.87  																																								|
% 47.60/16.87  																																								|-The branch is then unsatisfiable
% 47.60/16.87  																																							|-Branch two:
% 47.60/16.87  																																							| (1349)  ~ (all_0_98_98 = e2)
% 47.60/16.87  																																							| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.60/16.87  																																							|
% 47.60/16.87  																																								+-Applying beta-rule and splitting (99), into two cases.
% 47.60/16.87  																																								|-Branch one:
% 47.60/16.87  																																								| (767) all_0_95_95 = e2
% 47.60/16.87  																																								|
% 47.60/16.87  																																									| Equations (767) can reduce 355 to:
% 47.60/16.87  																																									| (311) $false
% 47.60/16.87  																																									|
% 47.60/16.87  																																									|-The branch is then unsatisfiable
% 47.60/16.87  																																								|-Branch two:
% 47.60/16.87  																																								| (355)  ~ (all_0_95_95 = e2)
% 47.60/16.87  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.60/16.87  																																								|
% 47.60/16.87  																																									+-Applying beta-rule and splitting (289), into two cases.
% 47.60/16.87  																																									|-Branch one:
% 47.60/16.87  																																									| (954) all_0_85_85 = e0
% 47.60/16.87  																																									|
% 47.60/16.87  																																										| Combining equations (493,954) yields a new equation:
% 47.60/16.87  																																										| (911) e4 = e0
% 47.60/16.87  																																										|
% 47.60/16.87  																																										| Simplifying 911 yields:
% 47.60/16.87  																																										| (912) e4 = e0
% 47.60/16.87  																																										|
% 47.60/16.87  																																										| Equations (912) can reduce 23 to:
% 47.60/16.87  																																										| (311) $false
% 47.60/16.87  																																										|
% 47.60/16.87  																																										|-The branch is then unsatisfiable
% 47.60/16.87  																																									|-Branch two:
% 47.60/16.87  																																									| (800)  ~ (all_0_85_85 = e0)
% 47.60/16.87  																																									| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.60/16.87  																																									|
% 47.60/16.87  																																										+-Applying beta-rule and splitting (770), into two cases.
% 47.60/16.87  																																										|-Branch one:
% 47.60/16.87  																																										| (785) all_0_95_95 = e1
% 47.60/16.87  																																										|
% 47.60/16.87  																																											| Equations (785) can reduce 229 to:
% 47.60/16.87  																																											| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Equations (785) can reduce 107 to:
% 47.60/16.87  																																											| (1803)  ~ (all_0_98_98 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Simplifying 1803 yields:
% 47.60/16.87  																																											| (1804)  ~ (all_0_98_98 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Equations (785) can reduce 765 to:
% 47.60/16.87  																																											| (683)  ~ (e3 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Simplifying 683 yields:
% 47.60/16.87  																																											| (20)  ~ (e3 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Equations (785) can reduce 355 to:
% 47.60/16.87  																																											| (487)  ~ (e2 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Simplifying 487 yields:
% 47.60/16.87  																																											| (243)  ~ (e2 = e1)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											| Equations (785) can reduce 893 to:
% 47.60/16.87  																																											| (264)  ~ (e1 = e0)
% 47.60/16.87  																																											|
% 47.60/16.87  																																											+-Applying beta-rule and splitting (27), into two cases.
% 47.60/16.87  																																											|-Branch one:
% 47.60/16.87  																																											| (746) all_0_90_90 = e2
% 47.60/16.87  																																											|
% 47.60/16.87  																																												| Equations (746) can reduce 294 to:
% 47.60/16.87  																																												| (311) $false
% 47.60/16.87  																																												|
% 47.60/16.87  																																												|-The branch is then unsatisfiable
% 47.60/16.87  																																											|-Branch two:
% 47.60/16.87  																																											| (294)  ~ (all_0_90_90 = e2)
% 47.60/16.87  																																											| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.60/16.87  																																											|
% 47.60/16.87  																																												+-Applying beta-rule and splitting (108), into two cases.
% 47.60/16.87  																																												|-Branch one:
% 47.60/16.87  																																												| (477) all_0_81_81 = e1
% 47.60/16.87  																																												|
% 47.60/16.87  																																													| Combining equations (473,477) yields a new equation:
% 47.60/16.87  																																													| (408) e2 = e1
% 47.60/16.87  																																													|
% 47.60/16.87  																																													| Simplifying 408 yields:
% 47.60/16.87  																																													| (385) e2 = e1
% 47.60/16.87  																																													|
% 47.60/16.87  																																													| Equations (385) can reduce 243 to:
% 47.60/16.87  																																													| (311) $false
% 47.60/16.87  																																													|
% 47.60/16.87  																																													|-The branch is then unsatisfiable
% 47.60/16.87  																																												|-Branch two:
% 47.60/16.87  																																												| (628)  ~ (all_0_81_81 = e1)
% 47.60/16.87  																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.60/16.87  																																												|
% 47.60/16.87  																																													| Equations (473) can reduce 628 to:
% 47.60/16.87  																																													| (243)  ~ (e2 = e1)
% 47.60/16.87  																																													|
% 47.60/16.87  																																													+-Applying beta-rule and splitting (749), into two cases.
% 47.60/16.87  																																													|-Branch one:
% 47.60/16.87  																																													| (750) all_0_90_90 = e1
% 47.60/16.87  																																													|
% 47.60/16.87  																																														| Equations (750) can reduce 678 to:
% 47.60/16.87  																																														| (311) $false
% 47.60/16.87  																																														|
% 47.60/16.87  																																														|-The branch is then unsatisfiable
% 47.60/16.87  																																													|-Branch two:
% 47.60/16.87  																																													| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.87  																																													| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.60/16.87  																																													|
% 47.60/16.87  																																														+-Applying beta-rule and splitting (1077), into two cases.
% 47.60/16.87  																																														|-Branch one:
% 47.60/16.87  																																														| (507) all_0_88_88 = e0
% 47.60/16.87  																																														|
% 47.60/16.87  																																															+-Applying beta-rule and splitting (817), into two cases.
% 47.60/16.87  																																															|-Branch one:
% 47.60/16.87  																																															| (504) all_0_88_88 = e1
% 47.60/16.87  																																															|
% 47.60/16.87  																																																| Combining equations (507,504) yields a new equation:
% 47.60/16.87  																																																| (865) e1 = e0
% 47.60/16.87  																																																|
% 47.60/16.87  																																																| Equations (865) can reduce 264 to:
% 47.60/16.87  																																																| (311) $false
% 47.60/16.87  																																																|
% 47.60/16.87  																																																|-The branch is then unsatisfiable
% 47.60/16.87  																																															|-Branch two:
% 47.60/16.87  																																															| (479)  ~ (all_0_88_88 = e1)
% 47.60/16.87  																																															| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.60/16.87  																																															|
% 47.60/16.87  																																																+-Applying beta-rule and splitting (132), into two cases.
% 47.60/16.87  																																																|-Branch one:
% 47.60/16.87  																																																| (750) all_0_90_90 = e1
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	| Equations (750) can reduce 678 to:
% 47.60/16.87  																																																	| (311) $false
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																	|-The branch is then unsatisfiable
% 47.60/16.87  																																																|-Branch two:
% 47.60/16.87  																																																| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.87  																																																| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	+-Applying beta-rule and splitting (5118), into two cases.
% 47.60/16.87  																																																	|-Branch one:
% 47.60/16.87  																																																	| (1543) all_0_98_98 = e1
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																		| Equations (1543) can reduce 1804 to:
% 47.60/16.87  																																																		| (311) $false
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																		|-The branch is then unsatisfiable
% 47.60/16.87  																																																	|-Branch two:
% 47.60/16.87  																																																	| (1804)  ~ (all_0_98_98 = e1)
% 47.60/16.87  																																																	| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																		+-Applying beta-rule and splitting (1526), into two cases.
% 47.60/16.87  																																																		|-Branch one:
% 47.60/16.87  																																																		| (801) all_0_91_91 = e1
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																			| Combining equations (1723,801) yields a new equation:
% 47.60/16.87  																																																			| (408) e2 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			| Simplifying 408 yields:
% 47.60/16.87  																																																			| (385) e2 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			| Equations (385) can reduce 243 to:
% 47.60/16.87  																																																			| (311) $false
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			|-The branch is then unsatisfiable
% 47.60/16.87  																																																		|-Branch two:
% 47.60/16.87  																																																		| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.87  																																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																			+-Applying beta-rule and splitting (1556), into two cases.
% 47.60/16.87  																																																			|-Branch one:
% 47.60/16.87  																																																			| (836) all_0_92_92 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																				| Equations (836) can reduce 426 to:
% 47.60/16.87  																																																				| (683)  ~ (e3 = e1)
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				| Simplifying 683 yields:
% 47.60/16.87  																																																				| (20)  ~ (e3 = e1)
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				+-Applying beta-rule and splitting (897), into two cases.
% 47.60/16.87  																																																				|-Branch one:
% 47.60/16.87  																																																				| (566) all_0_93_93 = e1
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																					| Combining equations (570,566) yields a new equation:
% 47.60/16.87  																																																					| (825) e3 = e1
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					| Simplifying 825 yields:
% 47.60/16.87  																																																					| (772) e3 = e1
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					| Equations (772) can reduce 20 to:
% 47.60/16.87  																																																					| (311) $false
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					|-The branch is then unsatisfiable
% 47.60/16.87  																																																				|-Branch two:
% 47.60/16.87  																																																				| (481)  ~ (all_0_93_93 = e1)
% 47.60/16.87  																																																				| (1543) all_0_98_98 = e1
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																					| Equations (1543) can reduce 1804 to:
% 47.60/16.87  																																																					| (311) $false
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					|-The branch is then unsatisfiable
% 47.60/16.87  																																																			|-Branch two:
% 47.60/16.87  																																																			| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.87  																																																			| (566) all_0_93_93 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																				| Combining equations (566,570) yields a new equation:
% 47.60/16.87  																																																				| (772) e3 = e1
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				| Equations (772) can reduce 20 to:
% 47.60/16.87  																																																				| (311) $false
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				|-The branch is then unsatisfiable
% 47.60/16.87  																																														|-Branch two:
% 47.60/16.87  																																														| (1110)  ~ (all_0_88_88 = e0)
% 47.60/16.87  																																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.60/16.87  																																														|
% 47.60/16.87  																																															+-Applying beta-rule and splitting (817), into two cases.
% 47.60/16.87  																																															|-Branch one:
% 47.60/16.87  																																															| (504) all_0_88_88 = e1
% 47.60/16.87  																																															|
% 47.60/16.87  																																																| Equations (504) can reduce 191 to:
% 47.60/16.87  																																																| (683)  ~ (e3 = e1)
% 47.60/16.87  																																																|
% 47.60/16.87  																																																| Simplifying 683 yields:
% 47.60/16.87  																																																| (20)  ~ (e3 = e1)
% 47.60/16.87  																																																|
% 47.60/16.87  																																																| Equations (504) can reduce 351 to:
% 47.60/16.87  																																																| (487)  ~ (e2 = e1)
% 47.60/16.87  																																																|
% 47.60/16.87  																																																| Simplifying 487 yields:
% 47.60/16.87  																																																| (243)  ~ (e2 = e1)
% 47.60/16.87  																																																|
% 47.60/16.87  																																																| Equations (504) can reduce 1110 to:
% 47.60/16.87  																																																| (264)  ~ (e1 = e0)
% 47.60/16.87  																																																|
% 47.60/16.87  																																																+-Applying beta-rule and splitting (132), into two cases.
% 47.60/16.87  																																																|-Branch one:
% 47.60/16.87  																																																| (750) all_0_90_90 = e1
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	| Equations (750) can reduce 678 to:
% 47.60/16.87  																																																	| (311) $false
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																	|-The branch is then unsatisfiable
% 47.60/16.87  																																																|-Branch two:
% 47.60/16.87  																																																| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.87  																																																| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	+-Applying beta-rule and splitting (927), into two cases.
% 47.60/16.87  																																																	|-Branch one:
% 47.60/16.87  																																																	| (758) all_0_90_90 = e0
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																		| Equations (758) can reduce 72 to:
% 47.60/16.87  																																																		| (2299)  ~ (all_0_92_92 = e0)
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																		| Simplifying 2299 yields:
% 47.60/16.87  																																																		| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																		+-Applying beta-rule and splitting (1526), into two cases.
% 47.60/16.87  																																																		|-Branch one:
% 47.60/16.87  																																																		| (801) all_0_91_91 = e1
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																			| Combining equations (1723,801) yields a new equation:
% 47.60/16.87  																																																			| (408) e2 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			| Simplifying 408 yields:
% 47.60/16.87  																																																			| (385) e2 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			| Equations (385) can reduce 243 to:
% 47.60/16.87  																																																			| (311) $false
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																			|-The branch is then unsatisfiable
% 47.60/16.87  																																																		|-Branch two:
% 47.60/16.87  																																																		| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.87  																																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																			+-Applying beta-rule and splitting (1556), into two cases.
% 47.60/16.87  																																																			|-Branch one:
% 47.60/16.87  																																																			| (836) all_0_92_92 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																				| Equations (836) can reduce 946 to:
% 47.60/16.87  																																																				| (264)  ~ (e1 = e0)
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				+-Applying beta-rule and splitting (382), into two cases.
% 47.60/16.87  																																																				|-Branch one:
% 47.60/16.87  																																																				| (861) all_0_87_87 = e0
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																					| Equations (861) can reduce 227 to:
% 47.60/16.87  																																																					| (906)  ~ (e3 = e0)
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					| Simplifying 906 yields:
% 47.60/16.87  																																																					| (50)  ~ (e3 = e0)
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					+-Applying beta-rule and splitting (1111), into two cases.
% 47.60/16.87  																																																					|-Branch one:
% 47.60/16.87  																																																					| (604) all_0_93_93 = e0
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																						| Combining equations (570,604) yields a new equation:
% 47.60/16.87  																																																						| (599) e3 = e0
% 47.60/16.87  																																																						|
% 47.60/16.87  																																																						| Simplifying 599 yields:
% 47.60/16.87  																																																						| (600) e3 = e0
% 47.60/16.87  																																																						|
% 47.60/16.87  																																																						| Equations (600) can reduce 50 to:
% 47.60/16.87  																																																						| (311) $false
% 47.60/16.87  																																																						|
% 47.60/16.87  																																																						|-The branch is then unsatisfiable
% 47.60/16.87  																																																					|-Branch two:
% 47.60/16.87  																																																					| (509)  ~ (all_0_93_93 = e0)
% 47.60/16.87  																																																					| (1121) all_0_98_98 = e0
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																						| Equations (1121) can reduce 2059 to:
% 47.60/16.87  																																																						| (311) $false
% 47.60/16.87  																																																						|
% 47.60/16.87  																																																						|-The branch is then unsatisfiable
% 47.60/16.87  																																																				|-Branch two:
% 47.60/16.87  																																																				| (889)  ~ (all_0_87_87 = e0)
% 47.60/16.87  																																																				| (507) all_0_88_88 = e0
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																					| Combining equations (504,507) yields a new equation:
% 47.60/16.87  																																																					| (1107) e1 = e0
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					| Simplifying 1107 yields:
% 47.60/16.87  																																																					| (865) e1 = e0
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					| Equations (865) can reduce 264 to:
% 47.60/16.87  																																																					| (311) $false
% 47.60/16.87  																																																					|
% 47.60/16.87  																																																					|-The branch is then unsatisfiable
% 47.60/16.87  																																																			|-Branch two:
% 47.60/16.87  																																																			| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.87  																																																			| (566) all_0_93_93 = e1
% 47.60/16.87  																																																			|
% 47.60/16.87  																																																				| Combining equations (566,570) yields a new equation:
% 47.60/16.87  																																																				| (772) e3 = e1
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				| Equations (772) can reduce 20 to:
% 47.60/16.87  																																																				| (311) $false
% 47.60/16.87  																																																				|
% 47.60/16.87  																																																				|-The branch is then unsatisfiable
% 47.60/16.87  																																																	|-Branch two:
% 47.60/16.87  																																																	| (762)  ~ (all_0_90_90 = e0)
% 47.60/16.87  																																																	| (858) all_0_95_95 = e0
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																		| Combining equations (858,785) yields a new equation:
% 47.60/16.87  																																																		| (865) e1 = e0
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																		| Equations (865) can reduce 264 to:
% 47.60/16.87  																																																		| (311) $false
% 47.60/16.87  																																																		|
% 47.60/16.87  																																																		|-The branch is then unsatisfiable
% 47.60/16.87  																																															|-Branch two:
% 47.60/16.87  																																															| (479)  ~ (all_0_88_88 = e1)
% 47.60/16.87  																																															| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.60/16.87  																																															|
% 47.60/16.87  																																																+-Applying beta-rule and splitting (373), into two cases.
% 47.60/16.87  																																																|-Branch one:
% 47.60/16.87  																																																| (504) all_0_88_88 = e1
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	| Equations (504) can reduce 479 to:
% 47.60/16.87  																																																	| (311) $false
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																	|-The branch is then unsatisfiable
% 47.60/16.87  																																																|-Branch two:
% 47.60/16.87  																																																| (479)  ~ (all_0_88_88 = e1)
% 47.60/16.87  																																																| (507) all_0_88_88 = e0
% 47.60/16.87  																																																|
% 47.60/16.87  																																																	| Equations (507) can reduce 1110 to:
% 47.60/16.87  																																																	| (311) $false
% 47.60/16.87  																																																	|
% 47.60/16.87  																																																	|-The branch is then unsatisfiable
% 47.60/16.87  																																										|-Branch two:
% 47.60/16.87  																																										| (680)  ~ (all_0_95_95 = e1)
% 47.60/16.87  																																										| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.60/16.87  																																										|
% 47.60/16.87  																																											+-Applying beta-rule and splitting (853), into two cases.
% 47.60/16.87  																																											|-Branch one:
% 47.60/16.87  																																											| (744) all_0_95_95 = e3
% 47.60/16.87  																																											|
% 47.60/16.87  																																												| Equations (744) can reduce 765 to:
% 47.60/16.87  																																												| (311) $false
% 47.60/16.87  																																												|
% 47.60/16.87  																																												|-The branch is then unsatisfiable
% 47.60/16.87  																																											|-Branch two:
% 47.60/16.87  																																											| (765)  ~ (all_0_95_95 = e3)
% 47.60/16.87  																																											| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.60/16.87  																																											|
% 47.60/16.87  																																												+-Applying beta-rule and splitting (857), into two cases.
% 47.60/16.87  																																												|-Branch one:
% 47.60/16.87  																																												| (858) all_0_95_95 = e0
% 47.60/16.87  																																												|
% 47.60/16.87  																																													| Equations (858) can reduce 893 to:
% 47.60/16.87  																																													| (311) $false
% 47.60/16.87  																																													|
% 47.60/16.87  																																													|-The branch is then unsatisfiable
% 47.60/16.87  																																												|-Branch two:
% 47.60/16.87  																																												| (893)  ~ (all_0_95_95 = e0)
% 47.60/16.87  																																												| (894) all_0_95_95 = e4
% 47.60/16.87  																																												|
% 47.60/16.87  																																													| Equations (894) can reduce 315 to:
% 47.60/16.87  																																													| (311) $false
% 47.60/16.87  																																													|
% 47.60/16.87  																																													|-The branch is then unsatisfiable
% 47.60/16.88  																																		|-Branch two:
% 47.60/16.88  																																		| (793)  ~ (all_0_82_82 = e3)
% 47.60/16.88  																																		| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 47.60/16.88  																																		|
% 47.60/16.88  																																			+-Applying beta-rule and splitting (2706), into two cases.
% 47.60/16.88  																																			|-Branch one:
% 47.60/16.88  																																			| (910) all_0_82_82 = e0
% 47.60/16.88  																																			|
% 47.60/16.88  																																				| Equations (910) can reduce 914 to:
% 47.60/16.88  																																				| (311) $false
% 47.60/16.88  																																				|
% 47.60/16.88  																																				|-The branch is then unsatisfiable
% 47.60/16.88  																																			|-Branch two:
% 47.60/16.88  																																			| (914)  ~ (all_0_82_82 = e0)
% 47.60/16.88  																																			| (469) all_0_82_82 = e4
% 47.60/16.88  																																			|
% 47.60/16.88  																																				| Equations (469) can reduce 465 to:
% 47.60/16.88  																																				| (311) $false
% 47.60/16.88  																																				|
% 47.60/16.88  																																				|-The branch is then unsatisfiable
% 47.60/16.88  																											|-Branch two:
% 47.60/16.88  																											| (296)  ~ (all_0_91_91 = e2)
% 47.60/16.88  																											| (1704) all_0_96_96 = e2
% 47.60/16.88  																											|
% 47.60/16.88  																												| Equations (1704) can reduce 1638 to:
% 47.60/16.88  																												| (311) $false
% 47.60/16.88  																												|
% 47.60/16.88  																												|-The branch is then unsatisfiable
% 47.60/16.88  																									|-Branch two:
% 47.60/16.88  																									| (612)  ~ (all_0_84_84 = e2)
% 47.60/16.88  																									| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 47.60/16.88  																									|
% 47.60/16.88  																										+-Applying beta-rule and splitting (617), into two cases.
% 47.60/16.88  																										|-Branch one:
% 47.60/16.88  																										| (1265) all_0_84_84 = e3
% 47.60/16.88  																										|
% 47.60/16.88  																											| Equations (1265) can reduce 422 to:
% 47.60/16.88  																											| (311) $false
% 47.60/16.88  																											|
% 47.60/16.88  																											|-The branch is then unsatisfiable
% 47.60/16.88  																										|-Branch two:
% 47.60/16.88  																										| (422)  ~ (all_0_84_84 = e3)
% 47.60/16.88  																										| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 47.60/16.88  																										|
% 47.60/16.88  																											+-Applying beta-rule and splitting (1268), into two cases.
% 47.60/16.88  																											|-Branch one:
% 47.60/16.88  																											| (916) all_0_84_84 = e0
% 47.60/16.88  																											|
% 47.60/16.88  																												| Equations (916) can reduce 124 to:
% 47.60/16.88  																												| (1317)  ~ (all_0_87_87 = e0)
% 47.60/16.88  																												|
% 47.60/16.88  																												| Simplifying 1317 yields:
% 47.60/16.88  																												| (889)  ~ (all_0_87_87 = e0)
% 47.60/16.88  																												|
% 47.60/16.88  																												+-Applying beta-rule and splitting (377), into two cases.
% 47.60/16.88  																												|-Branch one:
% 47.60/16.88  																												| (482) all_0_87_87 = e1
% 47.60/16.88  																												|
% 47.60/16.88  																													| From (482) and (83) follows:
% 47.60/16.88  																													| (24490) op(e2, e1) = all_0_65_65
% 47.60/16.88  																													|
% 47.60/16.88  																													| From (482) and (14) follows:
% 47.60/16.88  																													| (13258) op(e2, e1) = e1
% 47.60/16.88  																													|
% 47.60/16.88  																													| Instantiating formula (262) with e2, e1, e1, all_0_65_65 and discharging atoms op(e2, e1) = all_0_65_65, op(e2, e1) = e1, yields:
% 47.60/16.88  																													| (6145) all_0_65_65 = e1
% 47.60/16.88  																													|
% 47.60/16.88  																													| Equations (6145) can reduce 592 to:
% 47.60/16.88  																													| (311) $false
% 47.60/16.88  																													|
% 47.60/16.88  																													|-The branch is then unsatisfiable
% 47.60/16.88  																												|-Branch two:
% 47.60/16.88  																												| (625)  ~ (all_0_87_87 = e1)
% 47.60/16.88  																												| (861) all_0_87_87 = e0
% 47.60/16.88  																												|
% 47.60/16.88  																													| Equations (861) can reduce 889 to:
% 47.60/16.88  																													| (311) $false
% 47.60/16.88  																													|
% 47.60/16.88  																													|-The branch is then unsatisfiable
% 47.60/16.88  																											|-Branch two:
% 47.60/16.88  																											| (919)  ~ (all_0_84_84 = e0)
% 47.60/16.88  																											| (438) all_0_84_84 = e4
% 47.60/16.88  																											|
% 47.60/16.88  																												| Equations (438) can reduce 417 to:
% 47.60/16.88  																												| (311) $false
% 47.60/16.88  																												|
% 47.60/16.88  																												|-The branch is then unsatisfiable
% 47.60/16.88  																							|-Branch two:
% 47.60/16.88  																							| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.60/16.88  																							|
% 47.60/16.88  																								| Applying alpha-rule on (596) yields:
% 47.60/16.88  																								| (597) all_0_67_67 = e0
% 47.60/16.88  																								| (598)  ~ (all_0_68_68 = e1)
% 47.60/16.88  																								|
% 47.60/16.88  																								| Combining equations (597,3520) yields a new equation:
% 47.60/16.88  																								| (912) e4 = e0
% 47.60/16.88  																								|
% 47.60/16.88  																								| Equations (912) can reduce 23 to:
% 47.60/16.88  																								| (311) $false
% 47.60/16.88  																								|
% 47.60/16.88  																								|-The branch is then unsatisfiable
% 47.60/16.88  														|-Branch two:
% 47.60/16.88  														| (640)  ~ (all_0_78_78 = e4)
% 47.60/16.88  														| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.60/16.88  														|
% 47.60/16.88  															+-Applying beta-rule and splitting (1606), into two cases.
% 47.60/16.88  															|-Branch one:
% 47.60/16.88  															| (771) all_0_78_78 = e3
% 47.60/16.88  															|
% 47.60/16.88  																| Equations (771) can reduce 418 to:
% 47.60/16.88  																| (311) $false
% 47.60/16.88  																|
% 47.60/16.88  																|-The branch is then unsatisfiable
% 47.60/16.88  															|-Branch two:
% 47.60/16.88  															| (418)  ~ (all_0_78_78 = e3)
% 47.60/16.88  															| (463) all_0_78_78 = e4
% 47.60/16.88  															|
% 47.60/16.88  																| Equations (463) can reduce 640 to:
% 47.60/16.88  																| (311) $false
% 47.60/16.88  																|
% 47.60/16.88  																|-The branch is then unsatisfiable
% 47.60/16.88  											|-Branch two:
% 47.60/16.88  											| (461)  ~ (all_0_79_79 = e1)
% 47.60/16.88  											| (1708) all_0_79_79 = e3
% 47.60/16.88  											|
% 47.60/16.88  												| Equations (1708) can reduce 1711 to:
% 47.60/16.88  												| (311) $false
% 47.60/16.88  												|
% 47.60/16.88  												|-The branch is then unsatisfiable
% 47.60/16.88  					|-Branch two:
% 47.60/16.88  					| (9507)  ~ (all_0_86_86 = e2)
% 47.60/16.88  					| (9508) all_0_87_87 = e2 | all_0_88_88 = e2
% 47.60/16.88  					|
% 47.60/16.88  						+-Applying beta-rule and splitting (9508), into two cases.
% 47.60/16.88  						|-Branch one:
% 47.60/16.88  						| (374) all_0_87_87 = e2
% 47.60/16.88  						|
% 47.60/16.88  							| Equations (374) can reduce 349 to:
% 47.60/16.88  							| (311) $false
% 47.60/16.88  							|
% 47.60/16.88  							|-The branch is then unsatisfiable
% 47.60/16.88  						|-Branch two:
% 47.60/16.88  						| (349)  ~ (all_0_87_87 = e2)
% 47.60/16.88  						| (370) all_0_88_88 = e2
% 47.60/16.88  						|
% 47.60/16.88  							| Equations (370) can reduce 266 to:
% 47.60/16.88  							| (396)  ~ (all_0_81_81 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Equations (370) can reduce 78 to:
% 47.60/16.88  							| (515)  ~ (all_0_85_85 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Equations (370) can reduce 80 to:
% 47.60/16.88  							| (9507)  ~ (all_0_86_86 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Equations (370) can reduce 181 to:
% 47.60/16.88  							| (349)  ~ (all_0_87_87 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Equations (370) can reduce 31 to:
% 47.60/16.88  							| (1348)  ~ (all_0_98_98 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Simplifying 1348 yields:
% 47.60/16.88  							| (1349)  ~ (all_0_98_98 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Equations (370) can reduce 191 to:
% 47.60/16.88  							| (356)  ~ (e3 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| Simplifying 356 yields:
% 47.60/16.88  							| (169)  ~ (e3 = e2)
% 47.60/16.88  							|
% 47.60/16.88  							| From (370) and (253) follows:
% 47.60/16.88  							| (18815) op(e2, e2) = all_0_19_19
% 47.60/16.88  							|
% 47.60/16.88  							| From (370) and (141) follows:
% 47.60/16.88  							| (18816) op(e2, e0) = all_0_20_20
% 47.60/16.88  							|
% 47.60/16.88  							| From (370) and (161) follows:
% 47.60/16.88  							| (18817) op(e2, e2) = all_0_74_74
% 47.60/16.88  							|
% 47.60/16.88  							| From (370) and (230) follows:
% 47.60/16.88  							| (18818) op(e2, e0) = e2
% 47.60/16.88  							|
% 47.60/16.88  							| From (370) and (239) follows:
% 47.60/16.88  							| (18819) op(e0, e2) = all_0_73_73
% 47.60/16.88  							|
% 47.60/16.88  							| Instantiating formula (262) with e2, e2, all_0_19_19, e4 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e4, yields:
% 47.60/16.88  							| (18820) all_0_19_19 = e4
% 47.60/16.88  							|
% 47.60/16.88  							| Instantiating formula (262) with e2, e2, all_0_74_74, all_0_19_19 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = all_0_74_74, yields:
% 47.60/16.88  							| (18821) all_0_19_19 = all_0_74_74
% 47.60/16.88  							|
% 47.60/16.88  							| Instantiating formula (262) with e2, e0, e2, all_0_20_20 and discharging atoms op(e2, e0) = all_0_20_20, op(e2, e0) = e2, yields:
% 47.60/16.88  							| (18822) all_0_20_20 = e2
% 47.60/16.88  							|
% 47.60/16.88  							| Instantiating formula (262) with e0, e2, all_0_73_73, all_0_96_96 and discharging atoms op(e0, e2) = all_0_73_73, op(e0, e2) = all_0_96_96, yields:
% 47.60/16.89  							| (18823) all_0_73_73 = all_0_96_96
% 47.60/16.89  							|
% 47.60/16.89  							| Combining equations (18820,18821) yields a new equation:
% 47.60/16.89  							| (18824) all_0_74_74 = e4
% 47.60/16.89  							|
% 47.60/16.89  							| From (18824) and (18817) follows:
% 47.60/16.89  							| (6) op(e2, e2) = e4
% 47.60/16.89  							|
% 47.60/16.89  							| From (18822) and (18816) follows:
% 47.60/16.89  							| (18818) op(e2, e0) = e2
% 47.60/16.89  							|
% 47.60/16.89  							+-Applying beta-rule and splitting (142), into two cases.
% 47.60/16.89  							|-Branch one:
% 47.60/16.89  							| (345) all_0_86_86 = e2
% 47.60/16.89  							|
% 47.60/16.89  								| Equations (345) can reduce 9507 to:
% 47.60/16.89  								| (311) $false
% 47.60/16.89  								|
% 47.60/16.89  								|-The branch is then unsatisfiable
% 47.60/16.89  							|-Branch two:
% 47.60/16.89  							| (9507)  ~ (all_0_86_86 = e2)
% 47.60/16.89  							| (9512) all_0_86_86 = e1 | all_0_86_86 = e0
% 47.60/16.89  							|
% 47.60/16.89  								+-Applying beta-rule and splitting (42), into two cases.
% 47.60/16.89  								|-Branch one:
% 47.60/16.89  								| (384) all_0_86_86 = e1
% 47.60/16.89  								|
% 47.60/16.89  									| Equations (384) can reduce 82 to:
% 47.60/16.89  									| (1601)  ~ (all_0_78_78 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 81 to:
% 47.60/16.89  									| (198)  ~ (all_0_82_82 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 162 to:
% 47.60/16.89  									| (18831)  ~ (all_0_87_87 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 18831 yields:
% 47.60/16.89  									| (625)  ~ (all_0_87_87 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 139 to:
% 47.60/16.89  									| (677)  ~ (all_0_90_90 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 677 yields:
% 47.60/16.89  									| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 91 to:
% 47.60/16.89  									| (679)  ~ (all_0_95_95 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 679 yields:
% 47.60/16.89  									| (680)  ~ (all_0_95_95 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 241 to:
% 47.60/16.89  									| (681)  ~ (e4 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 681 yields:
% 47.60/16.89  									| (256)  ~ (e4 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 134 to:
% 47.60/16.89  									| (683)  ~ (e3 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 683 yields:
% 47.60/16.89  									| (20)  ~ (e3 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Equations (384) can reduce 9507 to:
% 47.60/16.89  									| (487)  ~ (e2 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| Simplifying 487 yields:
% 47.60/16.89  									| (243)  ~ (e2 = e1)
% 47.60/16.89  									|
% 47.60/16.89  									| From (384) and (110) follows:
% 47.60/16.89  									| (13661) op(e3, e1) = all_0_46_46
% 47.60/16.89  									|
% 47.60/16.89  									| From (384) and (167) follows:
% 47.60/16.89  									| (13662) op(e2, e1) = all_0_47_47
% 47.60/16.89  									|
% 47.60/16.89  									| From (384) and (245) follows:
% 47.60/16.89  									| (1844) op(e2, e3) = e1
% 47.60/16.89  									|
% 47.60/16.89  									+-Applying beta-rule and splitting (237), into two cases.
% 47.60/16.89  									|-Branch one:
% 47.60/16.89  									| (378) all_0_86_86 = e0
% 47.60/16.89  									|
% 47.60/16.89  										| Combining equations (384,378) yields a new equation:
% 47.60/16.89  										| (1107) e1 = e0
% 47.60/16.89  										|
% 47.60/16.89  										| Simplifying 1107 yields:
% 47.60/16.89  										| (865) e1 = e0
% 47.60/16.89  										|
% 47.60/16.89  										| Equations (865) can reduce 264 to:
% 47.60/16.89  										| (311) $false
% 47.60/16.89  										|
% 47.60/16.89  										|-The branch is then unsatisfiable
% 47.60/16.89  									|-Branch two:
% 47.60/16.89  									| (381)  ~ (all_0_86_86 = e0)
% 47.60/16.89  									| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 47.60/16.89  									|
% 47.60/16.89  										+-Applying beta-rule and splitting (382), into two cases.
% 47.60/16.89  										|-Branch one:
% 47.60/16.89  										| (861) all_0_87_87 = e0
% 47.60/16.89  										|
% 47.60/16.89  											| Equations (861) can reduce 73 to:
% 47.60/16.89  											| (166)  ~ (all_0_80_80 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 124 to:
% 47.60/16.89  											| (919)  ~ (all_0_84_84 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 94 to:
% 47.60/16.89  											| (2299)  ~ (all_0_92_92 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 2299 yields:
% 47.60/16.89  											| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 221 to:
% 47.60/16.89  											| (938)  ~ (all_0_97_97 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 938 yields:
% 47.60/16.89  											| (609)  ~ (all_0_97_97 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 216 to:
% 47.60/16.89  											| (904)  ~ (e4 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 904 yields:
% 47.60/16.89  											| (23)  ~ (e4 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 227 to:
% 47.60/16.89  											| (906)  ~ (e3 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 906 yields:
% 47.60/16.89  											| (50)  ~ (e3 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 349 to:
% 47.60/16.89  											| (510)  ~ (e2 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 510 yields:
% 47.60/16.89  											| (76)  ~ (e2 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Equations (861) can reduce 625 to:
% 47.60/16.89  											| (859)  ~ (e1 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| Simplifying 859 yields:
% 47.60/16.89  											| (264)  ~ (e1 = e0)
% 47.60/16.89  											|
% 47.60/16.89  											| From (861) and (83) follows:
% 47.60/16.89  											| (6142) op(e2, e0) = all_0_65_65
% 47.60/16.89  											|
% 47.60/16.89  											| From (861) and (14) follows:
% 47.60/16.89  											| (1959) op(e2, e1) = e0
% 47.60/16.89  											|
% 47.60/16.89  											| From (861) and (16) follows:
% 47.60/16.89  											| (3518) op(e1, e0) = all_0_64_64
% 47.60/16.89  											|
% 47.60/16.89  											| Instantiating formula (262) with e3, e1, all_0_46_46, all_0_84_84 and discharging atoms op(e3, e1) = all_0_46_46, op(e3, e1) = all_0_84_84, yields:
% 47.60/16.89  											| (13664) all_0_46_46 = all_0_84_84
% 47.60/16.89  											|
% 47.60/16.89  											| Instantiating formula (262) with e2, e1, e0, all_0_47_47 and discharging atoms op(e2, e1) = all_0_47_47, op(e2, e1) = e0, yields:
% 47.60/16.89  											| (18870) all_0_47_47 = e0
% 47.60/16.89  											|
% 47.60/16.89  											| Instantiating formula (262) with e2, e0, all_0_65_65, e2 and discharging atoms op(e2, e0) = all_0_65_65, op(e2, e0) = e2, yields:
% 47.60/16.89  											| (18871) all_0_65_65 = e2
% 47.60/16.89  											|
% 47.60/16.89  											| Instantiating formula (262) with e1, e0, all_0_64_64, all_0_93_93 and discharging atoms op(e1, e0) = all_0_64_64, op(e1, e0) = all_0_93_93, yields:
% 47.60/16.89  											| (8320) all_0_64_64 = all_0_93_93
% 47.60/16.89  											|
% 47.60/16.89  											| From (18870) and (13662) follows:
% 47.60/16.90  											| (1959) op(e2, e1) = e0
% 47.60/16.90  											|
% 47.60/16.90  											| From (18871) and (6142) follows:
% 47.60/16.90  											| (18818) op(e2, e0) = e2
% 47.60/16.90  											|
% 47.60/16.90  											+-Applying beta-rule and splitting (52), into two cases.
% 47.60/16.90  											|-Branch one:
% 47.60/16.90  											| (453) all_0_83_83 = e2
% 47.60/16.90  											|
% 47.60/16.90  												| Equations (453) can reduce 272 to:
% 47.60/16.90  												| (1622)  ~ (all_0_79_79 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Equations (453) can reduce 223 to:
% 47.60/16.90  												| (1631)  ~ (all_0_84_84 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Simplifying 1631 yields:
% 47.60/16.90  												| (612)  ~ (all_0_84_84 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Equations (453) can reduce 226 to:
% 47.60/16.90  												| (691)  ~ (all_0_85_85 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Simplifying 691 yields:
% 47.60/16.90  												| (515)  ~ (all_0_85_85 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Equations (453) can reduce 211 to:
% 47.60/16.90  												| (1637)  ~ (all_0_96_96 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| Simplifying 1637 yields:
% 47.60/16.90  												| (1638)  ~ (all_0_96_96 = e2)
% 47.60/16.90  												|
% 47.60/16.90  												| From (453) and (163) follows:
% 47.60/16.90  												| (13410) op(e3, e2) = all_0_55_55
% 47.60/16.90  												|
% 47.60/16.90  												| From (453) and (174) follows:
% 47.60/16.90  												| (13287) op(e3, e2) = e2
% 47.60/16.90  												|
% 47.60/16.90  												| From (453) and (206) follows:
% 47.60/16.90  												| (1643) op(e2, e2) = all_0_54_54
% 47.60/16.90  												|
% 47.60/16.90  												| Instantiating formula (262) with e3, e2, e2, all_0_55_55 and discharging atoms op(e3, e2) = all_0_55_55, op(e3, e2) = e2, yields:
% 47.60/16.90  												| (12242) all_0_55_55 = e2
% 47.60/16.90  												|
% 47.60/16.90  												| Instantiating formula (262) with e2, e2, all_0_54_54, e4 and discharging atoms op(e2, e2) = all_0_54_54, op(e2, e2) = e4, yields:
% 47.60/16.90  												| (1647) all_0_54_54 = e4
% 47.60/16.90  												|
% 47.60/16.90  												| From (12242) and (13410) follows:
% 47.60/16.90  												| (13287) op(e3, e2) = e2
% 47.60/16.90  												|
% 47.60/16.90  												+-Applying beta-rule and splitting (219), into two cases.
% 47.60/16.90  												|-Branch one:
% 47.60/16.90  												| (798) all_0_83_83 = e0
% 47.60/16.90  												|
% 47.60/16.90  													| Combining equations (453,798) yields a new equation:
% 47.60/16.90  													| (923) e2 = e0
% 47.60/16.90  													|
% 47.60/16.90  													| Simplifying 923 yields:
% 47.60/16.90  													| (379) e2 = e0
% 47.60/16.90  													|
% 47.60/16.90  													| Equations (379) can reduce 76 to:
% 47.60/16.90  													| (311) $false
% 47.60/16.90  													|
% 47.60/16.90  													|-The branch is then unsatisfiable
% 47.60/16.90  												|-Branch two:
% 47.60/16.90  												| (1314)  ~ (all_0_83_83 = e0)
% 47.60/16.90  												| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.60/16.90  												|
% 47.60/16.90  													+-Applying beta-rule and splitting (70), into two cases.
% 47.60/16.90  													|-Branch one:
% 47.60/16.90  													| (400) all_0_78_78 = e2
% 47.60/16.90  													|
% 47.60/16.90  														| Equations (400) can reduce 66 to:
% 47.60/16.90  														| (9970)  ~ (all_0_79_79 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Simplifying 9970 yields:
% 47.60/16.90  														| (1622)  ~ (all_0_79_79 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Equations (400) can reduce 67 to:
% 47.60/16.90  														| (393)  ~ (all_0_80_80 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Simplifying 393 yields:
% 47.60/16.90  														| (394)  ~ (all_0_80_80 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Equations (400) can reduce 278 to:
% 47.60/16.90  														| (395)  ~ (all_0_81_81 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Simplifying 395 yields:
% 47.60/16.90  														| (396)  ~ (all_0_81_81 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Equations (400) can reduce 125 to:
% 47.60/16.90  														| (354)  ~ (all_0_95_95 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Simplifying 354 yields:
% 47.60/16.90  														| (355)  ~ (all_0_95_95 = e2)
% 47.60/16.90  														|
% 47.60/16.90  														| Equations (400) can reduce 1601 to:
% 47.60/16.90  														| (243)  ~ (e2 = e1)
% 47.60/16.90  														|
% 47.60/16.90  														| Equations (400) can reduce 86 to:
% 47.60/16.90  														| (76)  ~ (e2 = e0)
% 47.60/16.90  														|
% 47.60/16.90  														| From (400) and (138) follows:
% 47.60/16.90  														| (9983) op(e3, e2) = all_0_43_43
% 47.60/16.90  														|
% 47.60/16.90  														+-Applying beta-rule and splitting (192), into two cases.
% 47.60/16.90  														|-Branch one:
% 47.60/16.90  														| (546) all_0_80_80 = e2
% 47.60/16.90  														|
% 47.60/16.90  															| Equations (546) can reduce 394 to:
% 47.60/16.90  															| (311) $false
% 47.60/16.90  															|
% 47.60/16.90  															|-The branch is then unsatisfiable
% 47.60/16.90  														|-Branch two:
% 47.60/16.90  														| (394)  ~ (all_0_80_80 = e2)
% 47.60/16.90  														| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 47.60/16.90  														|
% 47.60/16.90  															+-Applying beta-rule and splitting (551), into two cases.
% 47.60/16.90  															|-Branch one:
% 47.60/16.90  															| (552) all_0_84_84 = e2
% 47.60/16.90  															|
% 47.60/16.90  																| Equations (552) can reduce 612 to:
% 47.60/16.90  																| (311) $false
% 47.60/16.90  																|
% 47.60/16.90  																|-The branch is then unsatisfiable
% 47.60/16.90  															|-Branch two:
% 47.60/16.90  															| (612)  ~ (all_0_84_84 = e2)
% 47.60/16.90  															| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 47.60/16.90  															|
% 47.60/16.90  																+-Applying beta-rule and splitting (613), into two cases.
% 47.60/16.90  																|-Branch one:
% 47.60/16.90  																| (374) all_0_87_87 = e2
% 47.60/16.90  																|
% 47.60/16.90  																	| Combining equations (374,861) yields a new equation:
% 47.60/16.90  																	| (923) e2 = e0
% 47.60/16.90  																	|
% 47.60/16.90  																	| Simplifying 923 yields:
% 47.60/16.90  																	| (379) e2 = e0
% 47.60/16.90  																	|
% 47.60/16.90  																	| Equations (379) can reduce 76 to:
% 47.60/16.90  																	| (311) $false
% 47.60/16.90  																	|
% 47.60/16.90  																	|-The branch is then unsatisfiable
% 47.60/16.90  																|-Branch two:
% 47.60/16.90  																| (349)  ~ (all_0_87_87 = e2)
% 47.60/16.90  																| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 47.60/16.90  																|
% 47.60/16.90  																	+-Applying beta-rule and splitting (1342), into two cases.
% 47.60/16.90  																	|-Branch one:
% 47.60/16.90  																	| (1343) all_0_92_92 = e2
% 47.60/16.90  																	|
% 47.60/16.90  																		| Equations (1343) can reduce 49 to:
% 47.60/16.90  																		| (394)  ~ (all_0_80_80 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 87 to:
% 47.60/16.90  																		| (612)  ~ (all_0_84_84 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 72 to:
% 47.60/16.90  																		| (294)  ~ (all_0_90_90 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 265 to:
% 47.60/16.90  																		| (296)  ~ (all_0_91_91 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 283 to:
% 47.60/16.90  																		| (299)  ~ (all_0_93_93 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Simplifying 299 yields:
% 47.60/16.90  																		| (300)  ~ (all_0_93_93 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 258 to:
% 47.60/16.90  																		| (2376)  ~ (all_0_97_97 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Simplifying 2376 yields:
% 47.60/16.90  																		| (527)  ~ (all_0_97_97 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 1619 to:
% 47.60/16.90  																		| (528)  ~ (e4 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Simplifying 528 yields:
% 47.60/16.90  																		| (79)  ~ (e4 = e2)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Equations (1343) can reduce 946 to:
% 47.60/16.90  																		| (76)  ~ (e2 = e0)
% 47.60/16.90  																		|
% 47.60/16.90  																		| Instantiating formula (262) with e3, e2, all_0_43_43, e2 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e2, yields:
% 47.60/16.90  																		| (689) all_0_43_43 = e2
% 47.60/16.90  																		|
% 47.60/16.90  																		+-Applying beta-rule and splitting (56), into two cases.
% 47.60/16.90  																		|-Branch one:
% 47.60/16.90  																		| (463) all_0_78_78 = e4
% 47.60/16.90  																		|
% 47.60/16.90  																			| Combining equations (400,463) yields a new equation:
% 47.60/16.90  																			| (310) e4 = e2
% 47.60/16.90  																			|
% 47.60/16.90  																			| Equations (310) can reduce 79 to:
% 47.60/16.90  																			| (311) $false
% 47.60/16.90  																			|
% 47.60/16.90  																			|-The branch is then unsatisfiable
% 47.60/16.90  																		|-Branch two:
% 47.60/16.90  																		| (640)  ~ (all_0_78_78 = e4)
% 47.60/16.90  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.60/16.90  																		|
% 47.60/16.90  																			| Equations (400) can reduce 640 to:
% 47.60/16.90  																			| (528)  ~ (e4 = e2)
% 47.60/16.90  																			|
% 47.60/16.90  																			| Simplifying 528 yields:
% 47.60/16.90  																			| (79)  ~ (e4 = e2)
% 47.60/16.90  																			|
% 47.60/16.90  																			+-Applying beta-rule and splitting (186), into two cases.
% 47.60/16.90  																			|-Branch one:
% 47.60/16.90  																			| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.60/16.90  																			|
% 47.60/16.90  																				+-Applying beta-rule and splitting (726), into two cases.
% 47.60/16.90  																				|-Branch one:
% 47.60/16.90  																				| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.60/16.90  																				|
% 47.60/16.90  																					+-Applying beta-rule and splitting (727), into two cases.
% 47.60/16.90  																					|-Branch one:
% 47.60/16.90  																					| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.60/16.90  																					|
% 47.60/16.90  																						| Applying alpha-rule on (728) yields:
% 47.60/16.90  																						| (729) all_0_43_43 = e4
% 47.60/16.90  																						| (730)  ~ (all_0_44_44 = e3)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Combining equations (729,689) yields a new equation:
% 47.60/16.90  																						| (309) e4 = e2
% 47.60/16.90  																						|
% 47.60/16.90  																						| Simplifying 309 yields:
% 47.60/16.90  																						| (310) e4 = e2
% 47.60/16.90  																						|
% 47.60/16.90  																						| Equations (310) can reduce 79 to:
% 47.60/16.90  																						| (311) $false
% 47.60/16.90  																						|
% 47.60/16.90  																						|-The branch is then unsatisfiable
% 47.60/16.90  																					|-Branch two:
% 47.60/16.90  																					| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.60/16.90  																					|
% 47.60/16.90  																						| Applying alpha-rule on (734) yields:
% 47.60/16.90  																						| (735) all_0_46_46 = e2
% 47.60/16.90  																						| (736)  ~ (all_0_47_47 = e3)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Combining equations (13664,735) yields a new equation:
% 47.60/16.90  																						| (15981) all_0_84_84 = e2
% 47.60/16.90  																						|
% 47.60/16.90  																						| Simplifying 15981 yields:
% 47.60/16.90  																						| (552) all_0_84_84 = e2
% 47.60/16.90  																						|
% 47.60/16.90  																						| Equations (552) can reduce 612 to:
% 47.60/16.90  																						| (311) $false
% 47.60/16.90  																						|
% 47.60/16.90  																						|-The branch is then unsatisfiable
% 47.60/16.90  																				|-Branch two:
% 47.60/16.90  																				| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.60/16.90  																				|
% 47.60/16.90  																					| Applying alpha-rule on (740) yields:
% 47.60/16.90  																					| (741) all_0_48_48 = e1
% 47.60/16.90  																					| (742)  ~ (all_0_49_49 = e3)
% 47.60/16.90  																					|
% 47.60/16.90  																					| From (741) and (217) follows:
% 47.60/16.90  																					| (743) op(e3, all_0_90_90) = e1
% 47.60/16.90  																					|
% 47.60/16.90  																					+-Applying beta-rule and splitting (127), into two cases.
% 47.60/16.90  																					|-Branch one:
% 47.60/16.90  																					| (457) all_0_79_79 = e1
% 47.60/16.90  																					|
% 47.60/16.90  																						| Equations (457) can reduce 63 to:
% 47.60/16.90  																						| (1665)  ~ (all_0_80_80 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Simplifying 1665 yields:
% 47.60/16.90  																						| (828)  ~ (all_0_80_80 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Equations (457) can reduce 17 to:
% 47.60/16.90  																						| (1669)  ~ (all_0_91_91 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Simplifying 1669 yields:
% 47.60/16.90  																						| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Equations (457) can reduce 1622 to:
% 47.60/16.90  																						| (487)  ~ (e2 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Simplifying 487 yields:
% 47.60/16.90  																						| (243)  ~ (e2 = e1)
% 47.60/16.90  																						|
% 47.60/16.90  																						| Equations (457) can reduce 9 to:
% 47.60/16.90  																						| (264)  ~ (e1 = e0)
% 47.60/16.90  																						|
% 47.60/16.90  																						| From (457) and (184) follows:
% 47.60/16.90  																						| (1679) op(e2, e1) = all_0_52_52
% 47.60/16.90  																						|
% 47.60/16.90  																						+-Applying beta-rule and splitting (151), into two cases.
% 47.60/16.90  																						|-Branch one:
% 47.60/16.90  																						| (824) all_0_80_80 = e1
% 47.60/16.90  																						|
% 47.60/16.90  																							| Equations (824) can reduce 828 to:
% 47.60/16.90  																							| (311) $false
% 47.60/16.90  																							|
% 47.60/16.90  																							|-The branch is then unsatisfiable
% 47.60/16.90  																						|-Branch two:
% 47.60/16.90  																						| (828)  ~ (all_0_80_80 = e1)
% 47.60/16.90  																						| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.60/16.90  																						|
% 47.60/16.90  																							+-Applying beta-rule and splitting (132), into two cases.
% 47.60/16.90  																							|-Branch one:
% 47.60/16.90  																							| (750) all_0_90_90 = e1
% 47.60/16.90  																							|
% 47.60/16.90  																								| Equations (750) can reduce 678 to:
% 47.60/16.90  																								| (311) $false
% 47.60/16.90  																								|
% 47.60/16.90  																								|-The branch is then unsatisfiable
% 47.60/16.90  																							|-Branch two:
% 47.60/16.90  																							| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.90  																							| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.91  																							|
% 47.60/16.91  																								+-Applying beta-rule and splitting (829), into two cases.
% 47.60/16.91  																								|-Branch one:
% 47.60/16.91  																								| (482) all_0_87_87 = e1
% 47.60/16.91  																								|
% 47.60/16.91  																									| Combining equations (861,482) yields a new equation:
% 47.60/16.91  																									| (865) e1 = e0
% 47.60/16.91  																									|
% 47.60/16.91  																									| Equations (865) can reduce 264 to:
% 47.60/16.91  																									| (311) $false
% 47.60/16.91  																									|
% 47.60/16.91  																									|-The branch is then unsatisfiable
% 47.60/16.91  																								|-Branch two:
% 47.60/16.91  																								| (625)  ~ (all_0_87_87 = e1)
% 47.60/16.91  																								| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.60/16.91  																								|
% 47.60/16.91  																									+-Applying beta-rule and splitting (1526), into two cases.
% 47.60/16.91  																									|-Branch one:
% 47.60/16.91  																									| (801) all_0_91_91 = e1
% 47.60/16.91  																									|
% 47.60/16.91  																										| Equations (801) can reduce 959 to:
% 47.60/16.91  																										| (311) $false
% 47.60/16.91  																										|
% 47.60/16.91  																										|-The branch is then unsatisfiable
% 47.60/16.91  																									|-Branch two:
% 47.60/16.91  																									| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.91  																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.60/16.91  																									|
% 47.60/16.91  																										+-Applying beta-rule and splitting (835), into two cases.
% 47.60/16.91  																										|-Branch one:
% 47.60/16.91  																										| (836) all_0_92_92 = e1
% 47.60/16.91  																										|
% 47.60/16.91  																											| Combining equations (1343,836) yields a new equation:
% 47.60/16.91  																											| (408) e2 = e1
% 47.60/16.91  																											|
% 47.60/16.91  																											| Simplifying 408 yields:
% 47.60/16.91  																											| (385) e2 = e1
% 47.60/16.91  																											|
% 47.60/16.91  																											| Equations (385) can reduce 243 to:
% 47.60/16.91  																											| (311) $false
% 47.60/16.91  																											|
% 47.60/16.91  																											|-The branch is then unsatisfiable
% 47.60/16.91  																										|-Branch two:
% 47.60/16.91  																										| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.91  																										| (542) all_0_97_97 = e1
% 47.60/16.91  																										|
% 47.60/16.91  																											| Equations (542) can reduce 22 to:
% 47.60/16.91  																											| (1479)  ~ (all_0_96_96 = e1)
% 47.60/16.91  																											|
% 47.60/16.91  																											| Equations (542) can reduce 527 to:
% 47.60/16.91  																											| (487)  ~ (e2 = e1)
% 47.60/16.91  																											|
% 47.60/16.91  																											| Simplifying 487 yields:
% 47.60/16.91  																											| (243)  ~ (e2 = e1)
% 47.60/16.91  																											|
% 47.60/16.91  																											| Equations (542) can reduce 609 to:
% 47.60/16.91  																											| (264)  ~ (e1 = e0)
% 47.60/16.91  																											|
% 47.60/16.91  																											+-Applying beta-rule and splitting (1556), into two cases.
% 47.60/16.91  																											|-Branch one:
% 47.60/16.91  																											| (836) all_0_92_92 = e1
% 47.60/16.91  																											|
% 47.60/16.91  																												| Combining equations (836,1343) yields a new equation:
% 47.60/16.91  																												| (385) e2 = e1
% 47.60/16.91  																												|
% 47.60/16.91  																												| Equations (385) can reduce 243 to:
% 47.60/16.91  																												| (311) $false
% 47.60/16.91  																												|
% 47.60/16.91  																												|-The branch is then unsatisfiable
% 47.60/16.91  																											|-Branch two:
% 47.60/16.91  																											| (840)  ~ (all_0_92_92 = e1)
% 47.60/16.91  																											| (566) all_0_93_93 = e1
% 47.60/16.91  																											|
% 47.60/16.91  																												| Equations (566) can reduce 201 to:
% 47.60/16.91  																												| (128)  ~ (all_0_85_85 = e1)
% 47.60/16.91  																												|
% 47.60/16.91  																												| Equations (566) can reduce 34 to:
% 47.60/16.91  																												| (678)  ~ (all_0_90_90 = e1)
% 47.60/16.91  																												|
% 47.60/16.91  																												| Equations (566) can reduce 44 to:
% 47.60/16.91  																												| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.91  																												|
% 47.60/16.91  																												| Equations (566) can reduce 300 to:
% 47.60/16.91  																												| (487)  ~ (e2 = e1)
% 47.60/16.91  																												|
% 47.60/16.91  																												| Simplifying 487 yields:
% 47.60/16.91  																												| (243)  ~ (e2 = e1)
% 47.60/16.91  																												|
% 47.60/16.91  																												| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 47.60/16.91  																												| (11070) all_0_52_52 = e0
% 47.60/16.91  																												|
% 47.60/16.91  																												+-Applying beta-rule and splitting (33), into two cases.
% 47.60/16.91  																												|-Branch one:
% 47.60/16.91  																												| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.60/16.91  																												|
% 47.60/16.91  																													+-Applying beta-rule and splitting (1686), into two cases.
% 47.60/16.91  																													|-Branch one:
% 47.60/16.91  																													| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.60/16.91  																													|
% 47.60/16.91  																														+-Applying beta-rule and splitting (1687), into two cases.
% 47.60/16.91  																														|-Branch one:
% 47.60/16.91  																														| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.60/16.91  																														|
% 47.60/16.91  																															| Applying alpha-rule on (1688) yields:
% 47.60/16.91  																															| (1689) all_0_52_52 = e4
% 47.60/16.91  																															| (1690)  ~ (all_0_53_53 = e2)
% 47.60/16.91  																															|
% 47.60/16.91  																															| Combining equations (1689,11070) yields a new equation:
% 47.60/16.91  																															| (911) e4 = e0
% 47.60/16.91  																															|
% 47.60/16.91  																															| Simplifying 911 yields:
% 47.60/16.91  																															| (912) e4 = e0
% 47.60/16.91  																															|
% 47.60/16.91  																															| Equations (912) can reduce 23 to:
% 47.60/16.91  																															| (311) $false
% 47.60/16.91  																															|
% 47.60/16.91  																															|-The branch is then unsatisfiable
% 47.60/16.91  																														|-Branch two:
% 47.60/16.91  																														| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.60/16.91  																														|
% 47.60/16.91  																															| Applying alpha-rule on (1694) yields:
% 47.60/16.91  																															| (1695) all_0_54_54 = e3
% 47.60/16.91  																															| (1696)  ~ (all_0_55_55 = e2)
% 47.60/16.91  																															|
% 47.60/16.91  																															| Combining equations (1647,1695) yields a new equation:
% 47.60/16.91  																															| (790) e4 = e3
% 47.60/16.91  																															|
% 47.60/16.91  																															| Simplifying 790 yields:
% 47.60/16.91  																															| (434) e4 = e3
% 47.60/16.91  																															|
% 47.60/16.91  																															| Equations (434) can reduce 177 to:
% 47.60/16.91  																															| (311) $false
% 47.60/16.91  																															|
% 47.60/16.91  																															|-The branch is then unsatisfiable
% 47.60/16.91  																													|-Branch two:
% 47.60/16.91  																													| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.60/16.91  																													|
% 47.60/16.91  																														| Applying alpha-rule on (1700) yields:
% 47.60/16.91  																														| (1701) all_0_56_56 = e1
% 47.60/16.91  																														| (1702)  ~ (all_0_57_57 = e2)
% 47.60/16.91  																														|
% 47.60/16.91  																														| From (1701) and (222) follows:
% 47.60/16.91  																														| (1703) op(e2, all_0_91_91) = e1
% 47.60/16.91  																														|
% 47.60/16.91  																														+-Applying beta-rule and splitting (282), into two cases.
% 47.60/16.91  																														|-Branch one:
% 47.60/16.91  																														| (754) all_0_90_90 = e3
% 47.60/16.91  																														|
% 47.60/16.91  																															| Equations (754) can reduce 103 to:
% 47.60/16.91  																															| (1298)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																															|
% 47.60/16.91  																															| Simplifying 1298 yields:
% 47.60/16.91  																															| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																															|
% 47.60/16.91  																															+-Applying beta-rule and splitting (284), into two cases.
% 47.60/16.91  																															|-Branch one:
% 47.60/16.91  																															| (1723) all_0_91_91 = e2
% 47.60/16.91  																															|
% 47.60/16.91  																																| Equations (1723) can reduce 296 to:
% 47.60/16.91  																																| (311) $false
% 47.60/16.91  																																|
% 47.60/16.91  																																|-The branch is then unsatisfiable
% 47.60/16.91  																															|-Branch two:
% 47.60/16.91  																															| (296)  ~ (all_0_91_91 = e2)
% 47.60/16.91  																															| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.60/16.91  																															|
% 47.60/16.91  																																+-Applying beta-rule and splitting (1726), into two cases.
% 47.60/16.91  																																|-Branch one:
% 47.60/16.91  																																| (801) all_0_91_91 = e1
% 47.60/16.91  																																|
% 47.60/16.91  																																	| Equations (801) can reduce 959 to:
% 47.60/16.91  																																	| (311) $false
% 47.60/16.91  																																	|
% 47.60/16.91  																																	|-The branch is then unsatisfiable
% 47.60/16.91  																																|-Branch two:
% 47.60/16.91  																																| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.91  																																| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.60/16.91  																																|
% 47.60/16.91  																																	+-Applying beta-rule and splitting (1880), into two cases.
% 47.60/16.91  																																	|-Branch one:
% 47.60/16.91  																																	| (588) all_0_91_91 = e3
% 47.60/16.91  																																	|
% 47.60/16.91  																																		| Equations (588) can reduce 571 to:
% 47.60/16.91  																																		| (311) $false
% 47.60/16.91  																																		|
% 47.60/16.91  																																		|-The branch is then unsatisfiable
% 47.60/16.91  																																	|-Branch two:
% 47.60/16.91  																																	| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																																	| (1456) all_0_91_91 = e0
% 47.60/16.91  																																	|
% 47.60/16.91  																																		| From (1456) and (1703) follows:
% 47.60/16.91  																																		| (2305) op(e2, e0) = e1
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 47.60/16.91  																																		| (385) e2 = e1
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Equations (385) can reduce 243 to:
% 47.60/16.91  																																		| (311) $false
% 47.60/16.91  																																		|
% 47.60/16.91  																																		|-The branch is then unsatisfiable
% 47.60/16.91  																														|-Branch two:
% 47.60/16.91  																														| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.91  																														| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.91  																														|
% 47.60/16.91  																															+-Applying beta-rule and splitting (849), into two cases.
% 47.60/16.91  																															|-Branch one:
% 47.60/16.91  																															| (588) all_0_91_91 = e3
% 47.60/16.91  																															|
% 47.60/16.91  																																| Equations (588) can reduce 103 to:
% 47.60/16.91  																																| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.91  																																|
% 47.60/16.91  																																+-Applying beta-rule and splitting (291), into two cases.
% 47.60/16.91  																																|-Branch one:
% 47.60/16.91  																																| (758) all_0_90_90 = e0
% 47.60/16.91  																																|
% 47.60/16.91  																																	| Equations (758) can reduce 745 to:
% 47.60/16.91  																																	| (906)  ~ (e3 = e0)
% 47.60/16.91  																																	|
% 47.60/16.91  																																	| Simplifying 906 yields:
% 47.60/16.91  																																	| (50)  ~ (e3 = e0)
% 47.60/16.91  																																	|
% 47.60/16.91  																																	| From (758) and (743) follows:
% 47.60/16.91  																																	| (759) op(e3, e0) = e1
% 47.60/16.91  																																	|
% 47.60/16.91  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 47.60/16.91  																																	|-Branch one:
% 47.60/16.91  																																	| (1456) all_0_91_91 = e0
% 47.60/16.91  																																	|
% 47.60/16.91  																																		| Combining equations (588,1456) yields a new equation:
% 47.60/16.91  																																		| (599) e3 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Simplifying 599 yields:
% 47.60/16.91  																																		| (600) e3 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Equations (600) can reduce 50 to:
% 47.60/16.91  																																		| (311) $false
% 47.60/16.91  																																		|
% 47.60/16.91  																																		|-The branch is then unsatisfiable
% 47.60/16.91  																																	|-Branch two:
% 47.60/16.91  																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.91  																																	| (1837) all_0_96_96 = e0
% 47.60/16.91  																																	|
% 47.60/16.91  																																		| Equations (1837) can reduce 43 to:
% 47.60/16.91  																																		| (2058)  ~ (all_0_98_98 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Simplifying 2058 yields:
% 47.60/16.91  																																		| (2059)  ~ (all_0_98_98 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Equations (1837) can reduce 1638 to:
% 47.60/16.91  																																		| (510)  ~ (e2 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Simplifying 510 yields:
% 47.60/16.91  																																		| (76)  ~ (e2 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Equations (1837) can reduce 1479 to:
% 47.60/16.91  																																		| (859)  ~ (e1 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Simplifying 859 yields:
% 47.60/16.91  																																		| (264)  ~ (e1 = e0)
% 47.60/16.91  																																		|
% 47.60/16.91  																																		+-Applying beta-rule and splitting (289), into two cases.
% 47.60/16.91  																																		|-Branch one:
% 47.60/16.91  																																		| (954) all_0_85_85 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																			| Equations (954) can reduce 128 to:
% 47.60/16.91  																																			| (859)  ~ (e1 = e0)
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Simplifying 859 yields:
% 47.60/16.91  																																			| (264)  ~ (e1 = e0)
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| From (954) and (8) follows:
% 47.60/16.91  																																			| (1093) op(e3, e0) = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Instantiating formula (262) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields:
% 47.60/16.91  																																			| (865) e1 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Equations (865) can reduce 264 to:
% 47.60/16.91  																																			| (311) $false
% 47.60/16.91  																																			|
% 47.60/16.91  																																			|-The branch is then unsatisfiable
% 47.60/16.91  																																		|-Branch two:
% 47.60/16.91  																																		| (800)  ~ (all_0_85_85 = e0)
% 47.60/16.91  																																		| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																			+-Applying beta-rule and splitting (1077), into two cases.
% 47.60/16.91  																																			|-Branch one:
% 47.60/16.91  																																			| (507) all_0_88_88 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																				| Combining equations (370,507) yields a new equation:
% 47.60/16.91  																																				| (923) e2 = e0
% 47.60/16.91  																																				|
% 47.60/16.91  																																				| Simplifying 923 yields:
% 47.60/16.91  																																				| (379) e2 = e0
% 47.60/16.91  																																				|
% 47.60/16.91  																																				| Equations (379) can reduce 76 to:
% 47.60/16.91  																																				| (311) $false
% 47.60/16.91  																																				|
% 47.60/16.91  																																				|-The branch is then unsatisfiable
% 47.60/16.91  																																			|-Branch two:
% 47.60/16.91  																																			| (1110)  ~ (all_0_88_88 = e0)
% 47.60/16.91  																																			| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																				+-Applying beta-rule and splitting (1111), into two cases.
% 47.60/16.91  																																				|-Branch one:
% 47.60/16.91  																																				| (604) all_0_93_93 = e0
% 47.60/16.91  																																				|
% 47.60/16.91  																																					| Combining equations (566,604) yields a new equation:
% 47.60/16.91  																																					| (1107) e1 = e0
% 47.60/16.91  																																					|
% 47.60/16.91  																																					| Simplifying 1107 yields:
% 47.60/16.91  																																					| (865) e1 = e0
% 47.60/16.91  																																					|
% 47.60/16.91  																																					| Equations (865) can reduce 264 to:
% 47.60/16.91  																																					| (311) $false
% 47.60/16.91  																																					|
% 47.60/16.91  																																					|-The branch is then unsatisfiable
% 47.60/16.91  																																				|-Branch two:
% 47.60/16.91  																																				| (509)  ~ (all_0_93_93 = e0)
% 47.60/16.91  																																				| (1121) all_0_98_98 = e0
% 47.60/16.91  																																				|
% 47.60/16.91  																																					| Equations (1121) can reduce 2059 to:
% 47.60/16.91  																																					| (311) $false
% 47.60/16.91  																																					|
% 47.60/16.91  																																					|-The branch is then unsatisfiable
% 47.60/16.91  																																|-Branch two:
% 47.60/16.91  																																| (762)  ~ (all_0_90_90 = e0)
% 47.60/16.91  																																| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.60/16.91  																																|
% 47.60/16.91  																																	+-Applying beta-rule and splitting (1455), into two cases.
% 47.60/16.91  																																	|-Branch one:
% 47.60/16.91  																																	| (1456) all_0_91_91 = e0
% 47.60/16.91  																																	|
% 47.60/16.91  																																		| Combining equations (588,1456) yields a new equation:
% 47.60/16.91  																																		| (599) e3 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Simplifying 599 yields:
% 47.60/16.91  																																		| (600) e3 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																		| Equations (600) can reduce 50 to:
% 47.60/16.91  																																		| (311) $false
% 47.60/16.91  																																		|
% 47.60/16.91  																																		|-The branch is then unsatisfiable
% 47.60/16.91  																																	|-Branch two:
% 47.60/16.91  																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.91  																																	| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.60/16.91  																																	|
% 47.60/16.91  																																		+-Applying beta-rule and splitting (1488), into two cases.
% 47.60/16.91  																																		|-Branch one:
% 47.60/16.91  																																		| (942) all_0_92_92 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																			| Combining equations (1343,942) yields a new equation:
% 47.60/16.91  																																			| (923) e2 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Simplifying 923 yields:
% 47.60/16.91  																																			| (379) e2 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Equations (379) can reduce 76 to:
% 47.60/16.91  																																			| (311) $false
% 47.60/16.91  																																			|
% 47.60/16.91  																																			|-The branch is then unsatisfiable
% 47.60/16.91  																																		|-Branch two:
% 47.60/16.91  																																		| (946)  ~ (all_0_92_92 = e0)
% 47.60/16.91  																																		| (604) all_0_93_93 = e0
% 47.60/16.91  																																		|
% 47.60/16.91  																																			| Combining equations (566,604) yields a new equation:
% 47.60/16.91  																																			| (1107) e1 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Simplifying 1107 yields:
% 47.60/16.91  																																			| (865) e1 = e0
% 47.60/16.91  																																			|
% 47.60/16.91  																																			| Equations (865) can reduce 264 to:
% 47.60/16.91  																																			| (311) $false
% 47.60/16.91  																																			|
% 47.60/16.91  																																			|-The branch is then unsatisfiable
% 47.60/16.91  																															|-Branch two:
% 47.60/16.91  																															| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																															| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.91  																															|
% 47.60/16.91  																																+-Applying beta-rule and splitting (881), into two cases.
% 47.60/16.91  																																|-Branch one:
% 47.60/16.91  																																| (882) all_0_92_92 = e3
% 47.60/16.91  																																|
% 47.60/16.91  																																	| Combining equations (1343,882) yields a new equation:
% 47.60/16.91  																																	| (548) e3 = e2
% 47.60/16.91  																																	|
% 47.60/16.91  																																	| Equations (548) can reduce 169 to:
% 47.60/16.91  																																	| (311) $false
% 47.60/16.91  																																	|
% 47.60/16.91  																																	|-The branch is then unsatisfiable
% 47.60/16.91  																																|-Branch two:
% 47.60/16.91  																																| (426)  ~ (all_0_92_92 = e3)
% 47.60/16.91  																																| (570) all_0_93_93 = e3
% 47.60/16.91  																																|
% 47.60/16.91  																																	| Combining equations (566,570) yields a new equation:
% 47.60/16.91  																																	| (772) e3 = e1
% 47.60/16.91  																																	|
% 47.60/16.91  																																	| Equations (772) can reduce 20 to:
% 47.60/16.91  																																	| (311) $false
% 47.60/16.91  																																	|
% 47.60/16.91  																																	|-The branch is then unsatisfiable
% 47.60/16.91  																												|-Branch two:
% 47.60/16.91  																												| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.60/16.91  																												|
% 47.60/16.91  																													| Applying alpha-rule on (4957) yields:
% 47.60/16.91  																													| (4958) all_0_58_58 = e0
% 47.60/16.91  																													| (4959)  ~ (all_0_59_59 = e2)
% 47.60/16.91  																													|
% 47.60/16.91  																													| From (4958) and (212) follows:
% 47.60/16.91  																													| (4960) op(e2, all_0_96_96) = e0
% 47.60/16.91  																													|
% 47.60/16.91  																													+-Applying beta-rule and splitting (282), into two cases.
% 47.60/16.91  																													|-Branch one:
% 47.60/16.91  																													| (754) all_0_90_90 = e3
% 47.60/16.91  																													|
% 47.60/16.91  																														| Equations (754) can reduce 103 to:
% 47.60/16.91  																														| (1298)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																														|
% 47.60/16.91  																														| Simplifying 1298 yields:
% 47.60/16.91  																														| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.91  																														|
% 47.60/16.91  																														| Equations (754) can reduce 294 to:
% 47.60/16.91  																														| (169)  ~ (e3 = e2)
% 47.60/16.91  																														|
% 47.60/16.91  																														| Equations (754) can reduce 678 to:
% 47.60/16.91  																														| (20)  ~ (e3 = e1)
% 47.60/16.91  																														|
% 47.60/16.91  																														+-Applying beta-rule and splitting (284), into two cases.
% 47.60/16.91  																														|-Branch one:
% 47.60/16.91  																														| (1723) all_0_91_91 = e2
% 47.60/16.91  																														|
% 47.60/16.91  																															| Equations (1723) can reduce 296 to:
% 47.60/16.91  																															| (311) $false
% 47.60/16.91  																															|
% 47.60/16.91  																															|-The branch is then unsatisfiable
% 47.60/16.91  																														|-Branch two:
% 47.60/16.91  																														| (296)  ~ (all_0_91_91 = e2)
% 47.60/16.91  																														| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.60/16.91  																														|
% 47.60/16.91  																															+-Applying beta-rule and splitting (1726), into two cases.
% 47.60/16.91  																															|-Branch one:
% 47.60/16.91  																															| (801) all_0_91_91 = e1
% 47.60/16.91  																															|
% 47.60/16.91  																																| Equations (801) can reduce 959 to:
% 47.60/16.91  																																| (311) $false
% 47.60/16.91  																																|
% 47.60/16.91  																																|-The branch is then unsatisfiable
% 47.60/16.91  																															|-Branch two:
% 47.60/16.91  																															| (959)  ~ (all_0_91_91 = e1)
% 47.60/16.91  																															| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.60/16.92  																															|
% 47.60/16.92  																																+-Applying beta-rule and splitting (1880), into two cases.
% 47.60/16.92  																																|-Branch one:
% 47.60/16.92  																																| (588) all_0_91_91 = e3
% 47.60/16.92  																																|
% 47.60/16.92  																																	| Equations (588) can reduce 571 to:
% 47.60/16.92  																																	| (311) $false
% 47.60/16.92  																																	|
% 47.60/16.92  																																	|-The branch is then unsatisfiable
% 47.60/16.92  																																|-Branch two:
% 47.60/16.92  																																| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.92  																																| (1456) all_0_91_91 = e0
% 47.60/16.92  																																|
% 47.60/16.92  																																	| Equations (1456) can reduce 571 to:
% 47.60/16.92  																																	| (906)  ~ (e3 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 906 yields:
% 47.60/16.92  																																	| (50)  ~ (e3 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Equations (1456) can reduce 959 to:
% 47.60/16.92  																																	| (859)  ~ (e1 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 859 yields:
% 47.60/16.92  																																	| (264)  ~ (e1 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	+-Applying beta-rule and splitting (285), into two cases.
% 47.60/16.92  																																	|-Branch one:
% 47.60/16.92  																																	| (1708) all_0_79_79 = e3
% 47.60/16.92  																																	|
% 47.60/16.92  																																		| Combining equations (457,1708) yields a new equation:
% 47.60/16.92  																																		| (772) e3 = e1
% 47.60/16.92  																																		|
% 47.60/16.92  																																		| Equations (772) can reduce 20 to:
% 47.60/16.92  																																		| (311) $false
% 47.60/16.92  																																		|
% 47.60/16.92  																																		|-The branch is then unsatisfiable
% 47.60/16.92  																																	|-Branch two:
% 47.60/16.92  																																	| (1711)  ~ (all_0_79_79 = e3)
% 47.60/16.92  																																	| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.60/16.92  																																	|
% 47.60/16.92  																																		+-Applying beta-rule and splitting (1712), into two cases.
% 47.60/16.92  																																		|-Branch one:
% 47.60/16.92  																																		| (795) all_0_83_83 = e3
% 47.60/16.92  																																		|
% 47.60/16.92  																																			| Combining equations (453,795) yields a new equation:
% 47.60/16.92  																																			| (548) e3 = e2
% 47.60/16.92  																																			|
% 47.60/16.92  																																			| Equations (548) can reduce 169 to:
% 47.60/16.92  																																			| (311) $false
% 47.60/16.92  																																			|
% 47.60/16.92  																																			|-The branch is then unsatisfiable
% 47.60/16.92  																																		|-Branch two:
% 47.60/16.92  																																		| (779)  ~ (all_0_83_83 = e3)
% 47.60/16.92  																																		| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.60/16.92  																																		|
% 47.60/16.92  																																			+-Applying beta-rule and splitting (1842), into two cases.
% 47.60/16.92  																																			|-Branch one:
% 47.60/16.92  																																			| (588) all_0_91_91 = e3
% 47.60/16.92  																																			|
% 47.60/16.92  																																				| Combining equations (1456,588) yields a new equation:
% 47.60/16.92  																																				| (600) e3 = e0
% 47.60/16.92  																																				|
% 47.60/16.92  																																				| Equations (600) can reduce 50 to:
% 47.60/16.92  																																				| (311) $false
% 47.60/16.92  																																				|
% 47.60/16.92  																																				|-The branch is then unsatisfiable
% 47.60/16.92  																																			|-Branch two:
% 47.60/16.92  																																			| (571)  ~ (all_0_91_91 = e3)
% 47.60/16.92  																																			| (778) all_0_96_96 = e3
% 47.60/16.92  																																			|
% 47.60/16.92  																																				| From (778) and (4960) follows:
% 47.60/16.92  																																				| (5343) op(e2, e3) = e0
% 47.60/16.92  																																				|
% 47.60/16.92  																																				| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 47.60/16.92  																																				| (865) e1 = e0
% 47.60/16.92  																																				|
% 47.60/16.92  																																				| Equations (865) can reduce 264 to:
% 47.60/16.92  																																				| (311) $false
% 47.60/16.92  																																				|
% 47.60/16.92  																																				|-The branch is then unsatisfiable
% 47.60/16.92  																													|-Branch two:
% 47.60/16.92  																													| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.92  																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.60/16.92  																													|
% 47.60/16.92  																														+-Applying beta-rule and splitting (849), into two cases.
% 47.60/16.92  																														|-Branch one:
% 47.60/16.92  																														| (588) all_0_91_91 = e3
% 47.60/16.92  																														|
% 47.60/16.92  																															| Equations (588) can reduce 103 to:
% 47.60/16.92  																															| (745)  ~ (all_0_90_90 = e3)
% 47.60/16.92  																															|
% 47.60/16.92  																															+-Applying beta-rule and splitting (291), into two cases.
% 47.60/16.92  																															|-Branch one:
% 47.60/16.92  																															| (758) all_0_90_90 = e0
% 47.60/16.92  																															|
% 47.60/16.92  																																| Equations (758) can reduce 745 to:
% 47.60/16.92  																																| (906)  ~ (e3 = e0)
% 47.60/16.92  																																|
% 47.60/16.92  																																| Simplifying 906 yields:
% 47.60/16.92  																																| (50)  ~ (e3 = e0)
% 47.60/16.92  																																|
% 47.60/16.92  																																| From (758) and (743) follows:
% 47.60/16.92  																																| (759) op(e3, e0) = e1
% 47.60/16.92  																																|
% 47.60/16.92  																																+-Applying beta-rule and splitting (1400), into two cases.
% 47.60/16.92  																																|-Branch one:
% 47.60/16.92  																																| (1456) all_0_91_91 = e0
% 47.60/16.92  																																|
% 47.60/16.92  																																	| Combining equations (588,1456) yields a new equation:
% 47.60/16.92  																																	| (599) e3 = e0
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 599 yields:
% 47.60/16.92  																																	| (600) e3 = e0
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Equations (600) can reduce 50 to:
% 47.60/16.92  																																	| (311) $false
% 47.60/16.92  																																	|
% 47.60/16.92  																																	|-The branch is then unsatisfiable
% 47.60/16.92  																																|-Branch two:
% 47.60/16.92  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.60/16.92  																																| (1837) all_0_96_96 = e0
% 47.60/16.92  																																|
% 47.60/16.92  																																	| Equations (1837) can reduce 43 to:
% 47.60/16.92  																																	| (2058)  ~ (all_0_98_98 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 2058 yields:
% 47.60/16.92  																																	| (2059)  ~ (all_0_98_98 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Equations (1837) can reduce 1638 to:
% 47.60/16.92  																																	| (510)  ~ (e2 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 510 yields:
% 47.60/16.92  																																	| (76)  ~ (e2 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Equations (1837) can reduce 1479 to:
% 47.60/16.92  																																	| (859)  ~ (e1 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	| Simplifying 859 yields:
% 47.60/16.92  																																	| (264)  ~ (e1 = e0)
% 47.60/16.92  																																	|
% 47.60/16.92  																																	+-Applying beta-rule and splitting (289), into two cases.
% 47.60/16.92  																																	|-Branch one:
% 47.60/16.92  																																	| (954) all_0_85_85 = e0
% 47.60/16.92  																																	|
% 47.60/16.92  																																		| Equations (954) can reduce 128 to:
% 47.60/16.92  																																		| (859)  ~ (e1 = e0)
% 47.60/16.92  																																		|
% 47.60/16.92  																																		| Simplifying 859 yields:
% 47.60/16.92  																																		| (264)  ~ (e1 = e0)
% 47.60/16.92  																																		|
% 47.60/16.92  																																		| From (954) and (8) follows:
% 47.60/16.92  																																		| (1093) op(e3, e0) = e0
% 47.60/16.92  																																		|
% 47.60/16.92  																																		| Instantiating formula (262) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields:
% 47.60/16.92  																																		| (865) e1 = e0
% 47.60/16.92  																																		|
% 47.60/16.92  																																		| Equations (865) can reduce 264 to:
% 47.60/16.92  																																		| (311) $false
% 47.60/16.92  																																		|
% 47.60/16.92  																																		|-The branch is then unsatisfiable
% 47.60/16.92  																																	|-Branch two:
% 47.60/16.92  																																	| (800)  ~ (all_0_85_85 = e0)
% 47.60/16.92  																																	| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.60/16.92  																																	|
% 47.60/16.92  																																		+-Applying beta-rule and splitting (1077), into two cases.
% 47.60/16.92  																																		|-Branch one:
% 47.60/16.92  																																		| (507) all_0_88_88 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																			| Combining equations (370,507) yields a new equation:
% 47.69/16.92  																																			| (923) e2 = e0
% 47.69/16.92  																																			|
% 47.69/16.92  																																			| Simplifying 923 yields:
% 47.69/16.92  																																			| (379) e2 = e0
% 47.69/16.92  																																			|
% 47.69/16.92  																																			| Equations (379) can reduce 76 to:
% 47.69/16.92  																																			| (311) $false
% 47.69/16.92  																																			|
% 47.69/16.92  																																			|-The branch is then unsatisfiable
% 47.69/16.92  																																		|-Branch two:
% 47.69/16.92  																																		| (1110)  ~ (all_0_88_88 = e0)
% 47.69/16.92  																																		| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																			+-Applying beta-rule and splitting (1111), into two cases.
% 47.69/16.92  																																			|-Branch one:
% 47.69/16.92  																																			| (604) all_0_93_93 = e0
% 47.69/16.92  																																			|
% 47.69/16.92  																																				| Combining equations (566,604) yields a new equation:
% 47.69/16.92  																																				| (1107) e1 = e0
% 47.69/16.92  																																				|
% 47.69/16.92  																																				| Simplifying 1107 yields:
% 47.69/16.92  																																				| (865) e1 = e0
% 47.69/16.92  																																				|
% 47.69/16.92  																																				| Equations (865) can reduce 264 to:
% 47.69/16.92  																																				| (311) $false
% 47.69/16.92  																																				|
% 47.69/16.92  																																				|-The branch is then unsatisfiable
% 47.69/16.92  																																			|-Branch two:
% 47.69/16.92  																																			| (509)  ~ (all_0_93_93 = e0)
% 47.69/16.92  																																			| (1121) all_0_98_98 = e0
% 47.69/16.92  																																			|
% 47.69/16.92  																																				| Equations (1121) can reduce 2059 to:
% 47.69/16.92  																																				| (311) $false
% 47.69/16.92  																																				|
% 47.69/16.92  																																				|-The branch is then unsatisfiable
% 47.69/16.92  																															|-Branch two:
% 47.69/16.92  																															| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.92  																															| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.92  																															|
% 47.69/16.92  																																+-Applying beta-rule and splitting (1455), into two cases.
% 47.69/16.92  																																|-Branch one:
% 47.69/16.92  																																| (1456) all_0_91_91 = e0
% 47.69/16.92  																																|
% 47.69/16.92  																																	| Combining equations (588,1456) yields a new equation:
% 47.69/16.92  																																	| (599) e3 = e0
% 47.69/16.92  																																	|
% 47.69/16.92  																																	| Simplifying 599 yields:
% 47.69/16.92  																																	| (600) e3 = e0
% 47.69/16.92  																																	|
% 47.69/16.92  																																	| Equations (600) can reduce 50 to:
% 47.69/16.92  																																	| (311) $false
% 47.69/16.92  																																	|
% 47.69/16.92  																																	|-The branch is then unsatisfiable
% 47.69/16.92  																																|-Branch two:
% 47.69/16.92  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.69/16.92  																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.92  																																|
% 47.69/16.92  																																	+-Applying beta-rule and splitting (1488), into two cases.
% 47.69/16.92  																																	|-Branch one:
% 47.69/16.92  																																	| (942) all_0_92_92 = e0
% 47.69/16.92  																																	|
% 47.69/16.92  																																		| Combining equations (1343,942) yields a new equation:
% 47.69/16.92  																																		| (923) e2 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																		| Simplifying 923 yields:
% 47.69/16.92  																																		| (379) e2 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																		| Equations (379) can reduce 76 to:
% 47.69/16.92  																																		| (311) $false
% 47.69/16.92  																																		|
% 47.69/16.92  																																		|-The branch is then unsatisfiable
% 47.69/16.92  																																	|-Branch two:
% 47.69/16.92  																																	| (946)  ~ (all_0_92_92 = e0)
% 47.69/16.92  																																	| (604) all_0_93_93 = e0
% 47.69/16.92  																																	|
% 47.69/16.92  																																		| Combining equations (566,604) yields a new equation:
% 47.69/16.92  																																		| (1107) e1 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																		| Simplifying 1107 yields:
% 47.69/16.92  																																		| (865) e1 = e0
% 47.69/16.92  																																		|
% 47.69/16.92  																																		| Equations (865) can reduce 264 to:
% 47.69/16.92  																																		| (311) $false
% 47.69/16.92  																																		|
% 47.69/16.92  																																		|-The branch is then unsatisfiable
% 47.69/16.92  																														|-Branch two:
% 47.69/16.92  																														| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.92  																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.92  																														|
% 47.69/16.92  																															+-Applying beta-rule and splitting (881), into two cases.
% 47.69/16.92  																															|-Branch one:
% 47.69/16.92  																															| (882) all_0_92_92 = e3
% 47.69/16.92  																															|
% 47.69/16.92  																																| Combining equations (1343,882) yields a new equation:
% 47.69/16.92  																																| (548) e3 = e2
% 47.69/16.92  																																|
% 47.69/16.92  																																| Equations (548) can reduce 169 to:
% 47.69/16.92  																																| (311) $false
% 47.69/16.92  																																|
% 47.69/16.92  																																|-The branch is then unsatisfiable
% 47.69/16.92  																															|-Branch two:
% 47.69/16.92  																															| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.92  																															| (570) all_0_93_93 = e3
% 47.69/16.92  																															|
% 47.69/16.92  																																| Combining equations (566,570) yields a new equation:
% 47.69/16.92  																																| (772) e3 = e1
% 47.69/16.92  																																|
% 47.69/16.92  																																| Equations (772) can reduce 20 to:
% 47.69/16.92  																																| (311) $false
% 47.69/16.92  																																|
% 47.69/16.92  																																|-The branch is then unsatisfiable
% 47.69/16.92  																					|-Branch two:
% 47.69/16.92  																					| (461)  ~ (all_0_79_79 = e1)
% 47.69/16.92  																					| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.69/16.92  																					|
% 47.69/16.92  																						+-Applying beta-rule and splitting (1623), into two cases.
% 47.69/16.92  																						|-Branch one:
% 47.69/16.92  																						| (457) all_0_79_79 = e1
% 47.69/16.92  																						|
% 47.69/16.92  																							| Equations (457) can reduce 461 to:
% 47.69/16.92  																							| (311) $false
% 47.69/16.92  																							|
% 47.69/16.92  																							|-The branch is then unsatisfiable
% 47.69/16.92  																						|-Branch two:
% 47.69/16.92  																						| (461)  ~ (all_0_79_79 = e1)
% 47.69/16.92  																						| (1708) all_0_79_79 = e3
% 47.69/16.92  																						|
% 47.69/16.92  																							| Equations (1708) can reduce 17 to:
% 47.69/16.92  																							| (1298)  ~ (all_0_91_91 = e3)
% 47.69/16.92  																							|
% 47.69/16.92  																							| Simplifying 1298 yields:
% 47.69/16.92  																							| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.92  																							|
% 47.69/16.92  																							| Equations (1708) can reduce 1622 to:
% 47.69/16.92  																							| (169)  ~ (e3 = e2)
% 47.69/16.92  																							|
% 47.69/16.92  																							+-Applying beta-rule and splitting (282), into two cases.
% 47.69/16.92  																							|-Branch one:
% 47.69/16.92  																							| (754) all_0_90_90 = e3
% 47.69/16.92  																							|
% 47.69/16.92  																								| From (754) and (743) follows:
% 47.69/16.92  																								| (831) op(e3, e3) = e1
% 47.69/16.92  																								|
% 47.69/16.92  																								| Instantiating formula (262) with e3, e3, e1, all_0_82_82 and discharging atoms op(e3, e3) = all_0_82_82, op(e3, e3) = e1, yields:
% 47.69/16.92  																								| (43391) all_0_82_82 = e1
% 47.69/16.92  																								|
% 47.69/16.93  																								| Equations (43391) can reduce 198 to:
% 47.69/16.93  																								| (311) $false
% 47.69/16.93  																								|
% 47.69/16.93  																								|-The branch is then unsatisfiable
% 47.69/16.93  																							|-Branch two:
% 47.69/16.93  																							| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.93  																							| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.93  																							|
% 47.69/16.93  																								+-Applying beta-rule and splitting (849), into two cases.
% 47.69/16.93  																								|-Branch one:
% 47.69/16.93  																								| (588) all_0_91_91 = e3
% 47.69/16.93  																								|
% 47.69/16.93  																									| Equations (588) can reduce 571 to:
% 47.69/16.93  																									| (311) $false
% 47.69/16.93  																									|
% 47.69/16.93  																									|-The branch is then unsatisfiable
% 47.69/16.93  																								|-Branch two:
% 47.69/16.93  																								| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.93  																								| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.93  																								|
% 47.69/16.93  																									+-Applying beta-rule and splitting (881), into two cases.
% 47.69/16.93  																									|-Branch one:
% 47.69/16.93  																									| (882) all_0_92_92 = e3
% 47.69/16.93  																									|
% 47.69/16.93  																										| Combining equations (882,1343) yields a new equation:
% 47.69/16.93  																										| (547) e3 = e2
% 47.69/16.93  																										|
% 47.69/16.93  																										| Simplifying 547 yields:
% 47.69/16.93  																										| (548) e3 = e2
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (548) can reduce 169 to:
% 47.69/16.93  																										| (311) $false
% 47.69/16.93  																										|
% 47.69/16.93  																										|-The branch is then unsatisfiable
% 47.69/16.93  																									|-Branch two:
% 47.69/16.93  																									| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.93  																									| (570) all_0_93_93 = e3
% 47.69/16.93  																									|
% 47.69/16.93  																										| Equations (570) can reduce 34 to:
% 47.69/16.93  																										| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.93  																										|
% 47.69/16.93  																										+-Applying beta-rule and splitting (27), into two cases.
% 47.69/16.93  																										|-Branch one:
% 47.69/16.93  																										| (746) all_0_90_90 = e2
% 47.69/16.93  																										|
% 47.69/16.93  																											| Equations (746) can reduce 294 to:
% 47.69/16.93  																											| (311) $false
% 47.69/16.93  																											|
% 47.69/16.93  																											|-The branch is then unsatisfiable
% 47.69/16.93  																										|-Branch two:
% 47.69/16.93  																										| (294)  ~ (all_0_90_90 = e2)
% 47.69/16.93  																										| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.69/16.93  																										|
% 47.69/16.93  																											+-Applying beta-rule and splitting (132), into two cases.
% 47.69/16.93  																											|-Branch one:
% 47.69/16.93  																											| (750) all_0_90_90 = e1
% 47.69/16.93  																											|
% 47.69/16.93  																												| Equations (750) can reduce 678 to:
% 47.69/16.93  																												| (311) $false
% 47.69/16.93  																												|
% 47.69/16.93  																												|-The branch is then unsatisfiable
% 47.69/16.93  																											|-Branch two:
% 47.69/16.93  																											| (678)  ~ (all_0_90_90 = e1)
% 47.69/16.93  																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.69/16.93  																											|
% 47.69/16.93  																												+-Applying beta-rule and splitting (749), into two cases.
% 47.69/16.93  																												|-Branch one:
% 47.69/16.93  																												| (750) all_0_90_90 = e1
% 47.69/16.93  																												|
% 47.69/16.93  																													| Equations (750) can reduce 678 to:
% 47.69/16.93  																													| (311) $false
% 47.69/16.93  																													|
% 47.69/16.93  																													|-The branch is then unsatisfiable
% 47.69/16.93  																												|-Branch two:
% 47.69/16.93  																												| (678)  ~ (all_0_90_90 = e1)
% 47.69/16.93  																												| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.69/16.93  																												|
% 47.69/16.93  																													+-Applying beta-rule and splitting (753), into two cases.
% 47.69/16.93  																													|-Branch one:
% 47.69/16.93  																													| (754) all_0_90_90 = e3
% 47.69/16.93  																													|
% 47.69/16.93  																														| Equations (754) can reduce 745 to:
% 47.69/16.93  																														| (311) $false
% 47.69/16.93  																														|
% 47.69/16.93  																														|-The branch is then unsatisfiable
% 47.69/16.93  																													|-Branch two:
% 47.69/16.93  																													| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.93  																													| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.69/16.93  																													|
% 47.69/16.93  																														+-Applying beta-rule and splitting (291), into two cases.
% 47.69/16.93  																														|-Branch one:
% 47.69/16.93  																														| (758) all_0_90_90 = e0
% 47.69/16.93  																														|
% 47.69/16.93  																															| Equations (758) can reduce 255 to:
% 47.69/16.93  																															| (914)  ~ (all_0_82_82 = e0)
% 47.69/16.93  																															|
% 47.69/16.93  																															| Equations (758) can reduce 294 to:
% 47.69/16.93  																															| (510)  ~ (e2 = e0)
% 47.69/16.93  																															|
% 47.69/16.93  																															| Simplifying 510 yields:
% 47.69/16.93  																															| (76)  ~ (e2 = e0)
% 47.69/16.93  																															|
% 47.69/16.93  																															| From (758) and (743) follows:
% 47.69/16.93  																															| (759) op(e3, e0) = e1
% 47.69/16.93  																															|
% 47.69/16.93  																															+-Applying beta-rule and splitting (249), into two cases.
% 47.69/16.93  																															|-Branch one:
% 47.69/16.93  																															| (910) all_0_82_82 = e0
% 47.69/16.93  																															|
% 47.69/16.93  																																| Equations (910) can reduce 914 to:
% 47.69/16.93  																																| (311) $false
% 47.69/16.93  																																|
% 47.69/16.93  																																|-The branch is then unsatisfiable
% 47.69/16.93  																															|-Branch two:
% 47.69/16.93  																															| (914)  ~ (all_0_82_82 = e0)
% 47.69/16.93  																															| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.69/16.93  																															|
% 47.69/16.93  																																+-Applying beta-rule and splitting (1309), into two cases.
% 47.69/16.93  																																|-Branch one:
% 47.69/16.93  																																| (798) all_0_83_83 = e0
% 47.69/16.93  																																|
% 47.69/16.93  																																	| Combining equations (453,798) yields a new equation:
% 47.69/16.93  																																	| (923) e2 = e0
% 47.69/16.93  																																	|
% 47.69/16.93  																																	| Simplifying 923 yields:
% 47.69/16.93  																																	| (379) e2 = e0
% 47.69/16.93  																																	|
% 47.69/16.93  																																	| Equations (379) can reduce 76 to:
% 47.69/16.93  																																	| (311) $false
% 47.69/16.93  																																	|
% 47.69/16.93  																																	|-The branch is then unsatisfiable
% 47.69/16.93  																																|-Branch two:
% 47.69/16.93  																																| (1314)  ~ (all_0_83_83 = e0)
% 47.69/16.93  																																| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.69/16.93  																																|
% 47.69/16.93  																																	+-Applying beta-rule and splitting (289), into two cases.
% 47.69/16.93  																																	|-Branch one:
% 47.69/16.93  																																	| (954) all_0_85_85 = e0
% 47.69/16.93  																																	|
% 47.69/16.93  																																		| Equations (954) can reduce 128 to:
% 47.69/16.93  																																		| (859)  ~ (e1 = e0)
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Simplifying 859 yields:
% 47.69/16.93  																																		| (264)  ~ (e1 = e0)
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| From (954) and (197) follows:
% 47.69/16.93  																																		| (10073) op(e3, e0) = all_0_72_72
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| From (954) and (8) follows:
% 47.69/16.93  																																		| (1093) op(e3, e0) = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Instantiating formula (262) with e3, e0, e1, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e1, yields:
% 47.69/16.93  																																		| (845) all_0_72_72 = e1
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Instantiating formula (262) with e3, e0, e0, all_0_72_72 and discharging atoms op(e3, e0) = all_0_72_72, op(e3, e0) = e0, yields:
% 47.69/16.93  																																		| (10076) all_0_72_72 = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Combining equations (845,10076) yields a new equation:
% 47.69/16.93  																																		| (1107) e1 = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Simplifying 1107 yields:
% 47.69/16.93  																																		| (865) e1 = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																		| Equations (865) can reduce 264 to:
% 47.69/16.93  																																		| (311) $false
% 47.69/16.93  																																		|
% 47.69/16.93  																																		|-The branch is then unsatisfiable
% 47.69/16.93  																																	|-Branch two:
% 47.69/16.93  																																	| (800)  ~ (all_0_85_85 = e0)
% 47.69/16.93  																																	| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.93  																																	|
% 47.69/16.93  																																		+-Applying beta-rule and splitting (1315), into two cases.
% 47.69/16.93  																																		|-Branch one:
% 47.69/16.93  																																		| (916) all_0_84_84 = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																			| Equations (916) can reduce 919 to:
% 47.69/16.93  																																			| (311) $false
% 47.69/16.93  																																			|
% 47.69/16.93  																																			|-The branch is then unsatisfiable
% 47.69/16.93  																																		|-Branch two:
% 47.69/16.93  																																		| (919)  ~ (all_0_84_84 = e0)
% 47.69/16.93  																																		| (954) all_0_85_85 = e0
% 47.69/16.93  																																		|
% 47.69/16.93  																																			| Equations (954) can reduce 800 to:
% 47.69/16.93  																																			| (311) $false
% 47.69/16.93  																																			|
% 47.69/16.93  																																			|-The branch is then unsatisfiable
% 47.69/16.93  																														|-Branch two:
% 47.69/16.93  																														| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.93  																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.93  																														|
% 47.69/16.93  																															+-Applying beta-rule and splitting (757), into two cases.
% 47.69/16.93  																															|-Branch one:
% 47.69/16.93  																															| (758) all_0_90_90 = e0
% 47.69/16.93  																															|
% 47.69/16.93  																																| Equations (758) can reduce 762 to:
% 47.69/16.93  																																| (311) $false
% 47.69/16.93  																																|
% 47.69/16.93  																																|-The branch is then unsatisfiable
% 47.69/16.93  																															|-Branch two:
% 47.69/16.93  																															| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.93  																															| (583) all_0_90_90 = e4
% 47.69/16.93  																															|
% 47.69/16.93  																																| Equations (583) can reduce 467 to:
% 47.69/16.93  																																| (311) $false
% 47.69/16.93  																																|
% 47.69/16.93  																																|-The branch is then unsatisfiable
% 47.69/16.93  																			|-Branch two:
% 47.69/16.93  																			| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.69/16.93  																			|
% 47.69/16.93  																				| Applying alpha-rule on (973) yields:
% 47.69/16.93  																				| (974) all_0_50_50 = e0
% 47.69/16.93  																				| (975)  ~ (all_0_51_51 = e3)
% 47.69/16.93  																				|
% 47.69/16.93  																				| From (974) and (121) follows:
% 47.69/16.93  																				| (976) op(e3, all_0_95_95) = e0
% 47.69/16.93  																				|
% 47.69/16.93  																				+-Applying beta-rule and splitting (127), into two cases.
% 47.69/16.93  																				|-Branch one:
% 47.69/16.93  																				| (457) all_0_79_79 = e1
% 47.69/16.93  																				|
% 47.69/16.93  																					| Equations (457) can reduce 63 to:
% 47.69/16.93  																					| (1665)  ~ (all_0_80_80 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Simplifying 1665 yields:
% 47.69/16.93  																					| (828)  ~ (all_0_80_80 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Equations (457) can reduce 17 to:
% 47.69/16.93  																					| (1669)  ~ (all_0_91_91 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Simplifying 1669 yields:
% 47.69/16.93  																					| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Equations (457) can reduce 1622 to:
% 47.69/16.93  																					| (487)  ~ (e2 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Simplifying 487 yields:
% 47.69/16.93  																					| (243)  ~ (e2 = e1)
% 47.69/16.93  																					|
% 47.69/16.93  																					| Equations (457) can reduce 9 to:
% 47.69/16.93  																					| (264)  ~ (e1 = e0)
% 47.69/16.93  																					|
% 47.69/16.93  																					| From (457) and (184) follows:
% 47.69/16.93  																					| (1679) op(e2, e1) = all_0_52_52
% 47.69/16.93  																					|
% 47.69/16.93  																					+-Applying beta-rule and splitting (151), into two cases.
% 47.69/16.93  																					|-Branch one:
% 47.69/16.93  																					| (824) all_0_80_80 = e1
% 47.69/16.93  																					|
% 47.69/16.93  																						| Equations (824) can reduce 828 to:
% 47.69/16.93  																						| (311) $false
% 47.69/16.93  																						|
% 47.69/16.93  																						|-The branch is then unsatisfiable
% 47.69/16.93  																					|-Branch two:
% 47.69/16.93  																					| (828)  ~ (all_0_80_80 = e1)
% 47.69/16.93  																					| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.69/16.93  																					|
% 47.69/16.93  																						+-Applying beta-rule and splitting (132), into two cases.
% 47.69/16.93  																						|-Branch one:
% 47.69/16.93  																						| (750) all_0_90_90 = e1
% 47.69/16.93  																						|
% 47.69/16.93  																							| Equations (750) can reduce 678 to:
% 47.69/16.93  																							| (311) $false
% 47.69/16.93  																							|
% 47.69/16.93  																							|-The branch is then unsatisfiable
% 47.69/16.93  																						|-Branch two:
% 47.69/16.93  																						| (678)  ~ (all_0_90_90 = e1)
% 47.69/16.93  																						| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.69/16.93  																						|
% 47.69/16.93  																							+-Applying beta-rule and splitting (829), into two cases.
% 47.69/16.93  																							|-Branch one:
% 47.69/16.93  																							| (482) all_0_87_87 = e1
% 47.69/16.93  																							|
% 47.69/16.93  																								| Combining equations (861,482) yields a new equation:
% 47.69/16.93  																								| (865) e1 = e0
% 47.69/16.93  																								|
% 47.69/16.93  																								| Equations (865) can reduce 264 to:
% 47.69/16.93  																								| (311) $false
% 47.69/16.93  																								|
% 47.69/16.93  																								|-The branch is then unsatisfiable
% 47.69/16.93  																							|-Branch two:
% 47.69/16.93  																							| (625)  ~ (all_0_87_87 = e1)
% 47.69/16.93  																							| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.69/16.93  																							|
% 47.69/16.93  																								+-Applying beta-rule and splitting (1526), into two cases.
% 47.69/16.93  																								|-Branch one:
% 47.69/16.93  																								| (801) all_0_91_91 = e1
% 47.69/16.93  																								|
% 47.69/16.93  																									| Equations (801) can reduce 959 to:
% 47.69/16.93  																									| (311) $false
% 47.69/16.93  																									|
% 47.69/16.93  																									|-The branch is then unsatisfiable
% 47.69/16.93  																								|-Branch two:
% 47.69/16.93  																								| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.93  																								| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.69/16.93  																								|
% 47.69/16.93  																									+-Applying beta-rule and splitting (835), into two cases.
% 47.69/16.93  																									|-Branch one:
% 47.69/16.93  																									| (836) all_0_92_92 = e1
% 47.69/16.93  																									|
% 47.69/16.93  																										| Combining equations (1343,836) yields a new equation:
% 47.69/16.93  																										| (408) e2 = e1
% 47.69/16.93  																										|
% 47.69/16.93  																										| Simplifying 408 yields:
% 47.69/16.93  																										| (385) e2 = e1
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (385) can reduce 243 to:
% 47.69/16.93  																										| (311) $false
% 47.69/16.93  																										|
% 47.69/16.93  																										|-The branch is then unsatisfiable
% 47.69/16.93  																									|-Branch two:
% 47.69/16.93  																									| (840)  ~ (all_0_92_92 = e1)
% 47.69/16.93  																									| (542) all_0_97_97 = e1
% 47.69/16.93  																									|
% 47.69/16.93  																										| Equations (542) can reduce 202 to:
% 47.69/16.93  																										| (828)  ~ (all_0_80_80 = e1)
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (542) can reduce 105 to:
% 47.69/16.93  																										| (680)  ~ (all_0_95_95 = e1)
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (542) can reduce 22 to:
% 47.69/16.93  																										| (1479)  ~ (all_0_96_96 = e1)
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (542) can reduce 527 to:
% 47.69/16.93  																										| (487)  ~ (e2 = e1)
% 47.69/16.93  																										|
% 47.69/16.93  																										| Simplifying 487 yields:
% 47.69/16.93  																										| (243)  ~ (e2 = e1)
% 47.69/16.93  																										|
% 47.69/16.93  																										| Equations (542) can reduce 609 to:
% 47.69/16.93  																										| (264)  ~ (e1 = e0)
% 47.69/16.93  																										|
% 47.69/16.93  																										+-Applying beta-rule and splitting (1556), into two cases.
% 47.69/16.93  																										|-Branch one:
% 47.69/16.93  																										| (836) all_0_92_92 = e1
% 47.69/16.93  																										|
% 47.69/16.93  																											| Combining equations (836,1343) yields a new equation:
% 47.69/16.93  																											| (385) e2 = e1
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (385) can reduce 243 to:
% 47.69/16.93  																											| (311) $false
% 47.69/16.93  																											|
% 47.69/16.93  																											|-The branch is then unsatisfiable
% 47.69/16.93  																										|-Branch two:
% 47.69/16.93  																										| (840)  ~ (all_0_92_92 = e1)
% 47.69/16.93  																										| (566) all_0_93_93 = e1
% 47.69/16.93  																										|
% 47.69/16.93  																											| Equations (566) can reduce 277 to:
% 47.69/16.93  																											| (628)  ~ (all_0_81_81 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (566) can reduce 201 to:
% 47.69/16.93  																											| (128)  ~ (all_0_85_85 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (566) can reduce 34 to:
% 47.69/16.93  																											| (678)  ~ (all_0_90_90 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (566) can reduce 44 to:
% 47.69/16.93  																											| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (566) can reduce 13 to:
% 47.69/16.93  																											| (1803)  ~ (all_0_98_98 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Simplifying 1803 yields:
% 47.69/16.93  																											| (1804)  ~ (all_0_98_98 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Equations (566) can reduce 300 to:
% 47.69/16.93  																											| (487)  ~ (e2 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Simplifying 487 yields:
% 47.69/16.93  																											| (243)  ~ (e2 = e1)
% 47.69/16.93  																											|
% 47.69/16.93  																											| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 47.69/16.93  																											| (11070) all_0_52_52 = e0
% 47.69/16.93  																											|
% 47.69/16.93  																											+-Applying beta-rule and splitting (33), into two cases.
% 47.69/16.93  																											|-Branch one:
% 47.69/16.93  																											| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.69/16.93  																											|
% 47.69/16.93  																												+-Applying beta-rule and splitting (1686), into two cases.
% 47.69/16.93  																												|-Branch one:
% 47.69/16.93  																												| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.69/16.93  																												|
% 47.69/16.93  																													+-Applying beta-rule and splitting (1687), into two cases.
% 47.69/16.93  																													|-Branch one:
% 47.69/16.93  																													| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.69/16.93  																													|
% 47.69/16.93  																														| Applying alpha-rule on (1688) yields:
% 47.69/16.93  																														| (1689) all_0_52_52 = e4
% 47.69/16.93  																														| (1690)  ~ (all_0_53_53 = e2)
% 47.69/16.93  																														|
% 47.69/16.93  																														| Combining equations (1689,11070) yields a new equation:
% 47.69/16.93  																														| (911) e4 = e0
% 47.69/16.93  																														|
% 47.69/16.93  																														| Simplifying 911 yields:
% 47.69/16.93  																														| (912) e4 = e0
% 47.69/16.93  																														|
% 47.69/16.93  																														| Equations (912) can reduce 23 to:
% 47.69/16.93  																														| (311) $false
% 47.69/16.93  																														|
% 47.69/16.93  																														|-The branch is then unsatisfiable
% 47.69/16.93  																													|-Branch two:
% 47.69/16.93  																													| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.69/16.93  																													|
% 47.69/16.93  																														| Applying alpha-rule on (1694) yields:
% 47.69/16.93  																														| (1695) all_0_54_54 = e3
% 47.69/16.93  																														| (1696)  ~ (all_0_55_55 = e2)
% 47.69/16.93  																														|
% 47.69/16.93  																														| Combining equations (1647,1695) yields a new equation:
% 47.69/16.93  																														| (790) e4 = e3
% 47.69/16.93  																														|
% 47.69/16.93  																														| Simplifying 790 yields:
% 47.69/16.93  																														| (434) e4 = e3
% 47.69/16.93  																														|
% 47.69/16.93  																														| Equations (434) can reduce 177 to:
% 47.69/16.93  																														| (311) $false
% 47.69/16.93  																														|
% 47.69/16.93  																														|-The branch is then unsatisfiable
% 47.69/16.93  																												|-Branch two:
% 47.69/16.93  																												| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.69/16.93  																												|
% 47.69/16.93  																													| Applying alpha-rule on (1700) yields:
% 47.69/16.93  																													| (1701) all_0_56_56 = e1
% 47.69/16.93  																													| (1702)  ~ (all_0_57_57 = e2)
% 47.69/16.93  																													|
% 47.69/16.93  																													| From (1701) and (222) follows:
% 47.69/16.93  																													| (1703) op(e2, all_0_91_91) = e1
% 47.69/16.93  																													|
% 47.69/16.93  																													+-Applying beta-rule and splitting (282), into two cases.
% 47.69/16.93  																													|-Branch one:
% 47.69/16.93  																													| (754) all_0_90_90 = e3
% 47.69/16.93  																													|
% 47.69/16.93  																														| Equations (754) can reduce 103 to:
% 47.69/16.93  																														| (1298)  ~ (all_0_91_91 = e3)
% 47.69/16.93  																														|
% 47.69/16.93  																														| Simplifying 1298 yields:
% 47.69/16.93  																														| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.93  																														|
% 47.69/16.93  																														+-Applying beta-rule and splitting (284), into two cases.
% 47.69/16.93  																														|-Branch one:
% 47.69/16.94  																														| (1723) all_0_91_91 = e2
% 47.69/16.94  																														|
% 47.69/16.94  																															| Equations (1723) can reduce 296 to:
% 47.69/16.94  																															| (311) $false
% 47.69/16.94  																															|
% 47.69/16.94  																															|-The branch is then unsatisfiable
% 47.69/16.94  																														|-Branch two:
% 47.69/16.94  																														| (296)  ~ (all_0_91_91 = e2)
% 47.69/16.94  																														| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.69/16.94  																														|
% 47.69/16.94  																															+-Applying beta-rule and splitting (1726), into two cases.
% 47.69/16.94  																															|-Branch one:
% 47.69/16.94  																															| (801) all_0_91_91 = e1
% 47.69/16.94  																															|
% 47.69/16.94  																																| Equations (801) can reduce 959 to:
% 47.69/16.94  																																| (311) $false
% 47.69/16.94  																																|
% 47.69/16.94  																																|-The branch is then unsatisfiable
% 47.69/16.94  																															|-Branch two:
% 47.69/16.94  																															| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.94  																															| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.69/16.94  																															|
% 47.69/16.94  																																+-Applying beta-rule and splitting (1880), into two cases.
% 47.69/16.94  																																|-Branch one:
% 47.69/16.94  																																| (588) all_0_91_91 = e3
% 47.69/16.94  																																|
% 47.69/16.94  																																	| Equations (588) can reduce 571 to:
% 47.69/16.94  																																	| (311) $false
% 47.69/16.94  																																	|
% 47.69/16.94  																																	|-The branch is then unsatisfiable
% 47.69/16.94  																																|-Branch two:
% 47.69/16.94  																																| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.94  																																| (1456) all_0_91_91 = e0
% 47.69/16.94  																																|
% 47.69/16.94  																																	| From (1456) and (1703) follows:
% 47.69/16.94  																																	| (2305) op(e2, e0) = e1
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 47.69/16.94  																																	| (385) e2 = e1
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (385) can reduce 243 to:
% 47.69/16.94  																																	| (311) $false
% 47.69/16.94  																																	|
% 47.69/16.94  																																	|-The branch is then unsatisfiable
% 47.69/16.94  																													|-Branch two:
% 47.69/16.94  																													| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.94  																													| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.94  																													|
% 47.69/16.94  																														+-Applying beta-rule and splitting (849), into two cases.
% 47.69/16.94  																														|-Branch one:
% 47.69/16.94  																														| (588) all_0_91_91 = e3
% 47.69/16.94  																														|
% 47.69/16.94  																															| Equations (588) can reduce 103 to:
% 47.69/16.94  																															| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Equations (588) can reduce 64 to:
% 47.69/16.94  																															| (1300)  ~ (all_0_96_96 = e3)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Simplifying 1300 yields:
% 47.69/16.94  																															| (964)  ~ (all_0_96_96 = e3)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Equations (588) can reduce 133 to:
% 47.69/16.94  																															| (783)  ~ (e4 = e3)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Simplifying 783 yields:
% 47.69/16.94  																															| (177)  ~ (e4 = e3)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Equations (588) can reduce 296 to:
% 47.69/16.94  																															| (169)  ~ (e3 = e2)
% 47.69/16.94  																															|
% 47.69/16.94  																															| Equations (588) can reduce 959 to:
% 47.69/16.94  																															| (20)  ~ (e3 = e1)
% 47.69/16.94  																															|
% 47.69/16.94  																															+-Applying beta-rule and splitting (291), into two cases.
% 47.69/16.94  																															|-Branch one:
% 47.69/16.94  																															| (758) all_0_90_90 = e0
% 47.69/16.94  																															|
% 47.69/16.94  																																| Equations (758) can reduce 745 to:
% 47.69/16.94  																																| (906)  ~ (e3 = e0)
% 47.69/16.94  																																|
% 47.69/16.94  																																| Simplifying 906 yields:
% 47.69/16.94  																																| (50)  ~ (e3 = e0)
% 47.69/16.94  																																|
% 47.69/16.94  																																+-Applying beta-rule and splitting (1400), into two cases.
% 47.69/16.94  																																|-Branch one:
% 47.69/16.94  																																| (1456) all_0_91_91 = e0
% 47.69/16.94  																																|
% 47.69/16.94  																																	| Combining equations (588,1456) yields a new equation:
% 47.69/16.94  																																	| (599) e3 = e0
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 599 yields:
% 47.69/16.94  																																	| (600) e3 = e0
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (600) can reduce 50 to:
% 47.69/16.94  																																	| (311) $false
% 47.69/16.94  																																	|
% 47.69/16.94  																																	|-The branch is then unsatisfiable
% 47.69/16.94  																																|-Branch two:
% 47.69/16.94  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.69/16.94  																																| (1837) all_0_96_96 = e0
% 47.69/16.94  																																|
% 47.69/16.94  																																	| Equations (1837) can reduce 279 to:
% 47.69/16.94  																																	| (893)  ~ (all_0_95_95 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (1837) can reduce 43 to:
% 47.69/16.94  																																	| (2058)  ~ (all_0_98_98 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 2058 yields:
% 47.69/16.94  																																	| (2059)  ~ (all_0_98_98 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (1837) can reduce 115 to:
% 47.69/16.94  																																	| (904)  ~ (e4 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 904 yields:
% 47.69/16.94  																																	| (23)  ~ (e4 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (1837) can reduce 964 to:
% 47.69/16.94  																																	| (906)  ~ (e3 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 906 yields:
% 47.69/16.94  																																	| (50)  ~ (e3 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (1837) can reduce 1638 to:
% 47.69/16.94  																																	| (510)  ~ (e2 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 510 yields:
% 47.69/16.94  																																	| (76)  ~ (e2 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Equations (1837) can reduce 1479 to:
% 47.69/16.94  																																	| (859)  ~ (e1 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	| Simplifying 859 yields:
% 47.69/16.94  																																	| (264)  ~ (e1 = e0)
% 47.69/16.94  																																	|
% 47.69/16.94  																																	+-Applying beta-rule and splitting (289), into two cases.
% 47.69/16.94  																																	|-Branch one:
% 47.69/16.94  																																	| (954) all_0_85_85 = e0
% 47.69/16.94  																																	|
% 47.69/16.94  																																		| Equations (954) can reduce 209 to:
% 47.69/16.94  																																		| (914)  ~ (all_0_82_82 = e0)
% 47.69/16.94  																																		|
% 47.69/16.94  																																		| Equations (954) can reduce 75 to:
% 47.69/16.94  																																		| (2058)  ~ (all_0_98_98 = e0)
% 47.69/16.94  																																		|
% 47.69/16.94  																																		| Simplifying 2058 yields:
% 47.69/16.94  																																		| (2059)  ~ (all_0_98_98 = e0)
% 47.69/16.94  																																		|
% 47.69/16.94  																																		| Equations (954) can reduce 128 to:
% 47.69/16.94  																																		| (859)  ~ (e1 = e0)
% 47.69/16.94  																																		|
% 47.69/16.94  																																		| Simplifying 859 yields:
% 47.69/16.94  																																		| (264)  ~ (e1 = e0)
% 47.69/16.94  																																		|
% 47.69/16.94  																																		+-Applying beta-rule and splitting (109), into two cases.
% 47.69/16.94  																																		|-Branch one:
% 47.69/16.94  																																		| (469) all_0_82_82 = e4
% 47.69/16.94  																																		|
% 47.69/16.94  																																			| Equations (469) can reduce 7 to:
% 47.69/16.94  																																			| (662)  ~ (all_0_84_84 = e4)
% 47.69/16.94  																																			|
% 47.69/16.94  																																			| Simplifying 662 yields:
% 47.69/16.94  																																			| (417)  ~ (all_0_84_84 = e4)
% 47.69/16.94  																																			|
% 47.69/16.94  																																			| From (469) and (61) follows:
% 47.69/16.94  																																			| (671) op(e3, e3) = e4
% 47.69/16.94  																																			|
% 47.69/16.94  																																			+-Applying beta-rule and splitting (171), into two cases.
% 47.69/16.94  																																			|-Branch one:
% 47.69/16.94  																																			| (789) all_0_82_82 = e3
% 47.69/16.94  																																			|
% 47.69/16.94  																																				| Combining equations (469,789) yields a new equation:
% 47.69/16.94  																																				| (790) e4 = e3
% 47.69/16.94  																																				|
% 47.69/16.94  																																				| Simplifying 790 yields:
% 47.69/16.94  																																				| (434) e4 = e3
% 47.69/16.94  																																				|
% 47.69/16.94  																																				| Equations (434) can reduce 177 to:
% 47.69/16.94  																																				| (311) $false
% 47.69/16.94  																																				|
% 47.69/16.94  																																				|-The branch is then unsatisfiable
% 47.69/16.94  																																			|-Branch two:
% 47.69/16.94  																																			| (793)  ~ (all_0_82_82 = e3)
% 47.69/16.94  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.69/16.94  																																			|
% 47.69/16.94  																																				| Equations (469) can reduce 793 to:
% 47.69/16.94  																																				| (177)  ~ (e4 = e3)
% 47.69/16.94  																																				|
% 47.69/16.94  																																				+-Applying beta-rule and splitting (220), into two cases.
% 47.69/16.94  																																				|-Branch one:
% 47.69/16.94  																																				| (771) all_0_78_78 = e3
% 47.69/16.94  																																				|
% 47.69/16.94  																																					| Combining equations (400,771) yields a new equation:
% 47.69/16.94  																																					| (548) e3 = e2
% 47.69/16.94  																																					|
% 47.69/16.94  																																					| Equations (548) can reduce 169 to:
% 47.69/16.94  																																					| (311) $false
% 47.69/16.94  																																					|
% 47.69/16.94  																																					|-The branch is then unsatisfiable
% 47.69/16.94  																																				|-Branch two:
% 47.69/16.94  																																				| (418)  ~ (all_0_78_78 = e3)
% 47.69/16.94  																																				| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.69/16.94  																																				|
% 47.69/16.94  																																					+-Applying beta-rule and splitting (775), into two cases.
% 47.69/16.94  																																					|-Branch one:
% 47.69/16.94  																																					| (789) all_0_82_82 = e3
% 47.69/16.94  																																					|
% 47.69/16.94  																																						| Combining equations (469,789) yields a new equation:
% 47.69/16.94  																																						| (790) e4 = e3
% 47.69/16.94  																																						|
% 47.69/16.94  																																						| Simplifying 790 yields:
% 47.69/16.94  																																						| (434) e4 = e3
% 47.69/16.94  																																						|
% 47.69/16.94  																																						| Equations (434) can reduce 177 to:
% 47.69/16.94  																																						| (311) $false
% 47.69/16.94  																																						|
% 47.69/16.94  																																						|-The branch is then unsatisfiable
% 47.69/16.94  																																					|-Branch two:
% 47.69/16.94  																																					| (793)  ~ (all_0_82_82 = e3)
% 47.69/16.94  																																					| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.69/16.94  																																					|
% 47.69/16.94  																																						+-Applying beta-rule and splitting (794), into two cases.
% 47.69/16.94  																																						|-Branch one:
% 47.69/16.94  																																						| (754) all_0_90_90 = e3
% 47.69/16.94  																																						|
% 47.69/16.94  																																							| Combining equations (758,754) yields a new equation:
% 47.69/16.94  																																							| (600) e3 = e0
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| Equations (600) can reduce 50 to:
% 47.69/16.94  																																							| (311) $false
% 47.69/16.94  																																							|
% 47.69/16.94  																																							|-The branch is then unsatisfiable
% 47.69/16.94  																																						|-Branch two:
% 47.69/16.94  																																						| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.94  																																						| (744) all_0_95_95 = e3
% 47.69/16.94  																																						|
% 47.69/16.94  																																							| Equations (744) can reduce 107 to:
% 47.69/16.94  																																							| (1518)  ~ (all_0_98_98 = e3)
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| Simplifying 1518 yields:
% 47.69/16.94  																																							| (1519)  ~ (all_0_98_98 = e3)
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| Equations (744) can reduce 355 to:
% 47.69/16.94  																																							| (169)  ~ (e3 = e2)
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| Equations (744) can reduce 680 to:
% 47.69/16.94  																																							| (20)  ~ (e3 = e1)
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| Equations (744) can reduce 893 to:
% 47.69/16.94  																																							| (50)  ~ (e3 = e0)
% 47.69/16.94  																																							|
% 47.69/16.94  																																							| From (744) and (976) follows:
% 47.69/16.94  																																							| (979) op(e3, e3) = e0
% 47.69/16.94  																																							|
% 47.69/16.94  																																							+-Applying beta-rule and splitting (250), into two cases.
% 47.69/16.94  																																							|-Branch one:
% 47.69/16.94  																																							| (635) all_0_81_81 = e3
% 47.69/16.94  																																							|
% 47.69/16.94  																																								| Equations (635) can reduce 144 to:
% 47.69/16.94  																																								| (2347)  ~ (all_0_80_80 = e3)
% 47.69/16.94  																																								|
% 47.69/16.94  																																								| Equations (635) can reduce 396 to:
% 47.69/16.94  																																								| (169)  ~ (e3 = e2)
% 47.69/16.94  																																								|
% 47.69/16.94  																																								| Equations (635) can reduce 628 to:
% 47.69/16.94  																																								| (20)  ~ (e3 = e1)
% 47.69/16.94  																																								|
% 47.69/16.94  																																								+-Applying beta-rule and splitting (207), into two cases.
% 47.69/16.94  																																								|-Branch one:
% 47.69/16.94  																																								| (416) all_0_80_80 = e3
% 47.69/16.94  																																								|
% 47.69/16.94  																																									| Equations (416) can reduce 2347 to:
% 47.69/16.94  																																									| (311) $false
% 47.69/16.94  																																									|
% 47.69/16.94  																																									|-The branch is then unsatisfiable
% 47.69/16.94  																																								|-Branch two:
% 47.69/16.94  																																								| (2347)  ~ (all_0_80_80 = e3)
% 47.69/16.94  																																								| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.69/16.94  																																								|
% 47.69/16.94  																																									+-Applying beta-rule and splitting (210), into two cases.
% 47.69/16.94  																																									|-Branch one:
% 47.69/16.94  																																									| (433) all_0_80_80 = e4
% 47.69/16.94  																																									|
% 47.69/16.94  																																										| Equations (433) can reduce 273 to:
% 47.69/16.94  																																										| (662)  ~ (all_0_84_84 = e4)
% 47.69/16.94  																																										|
% 47.69/16.94  																																										| Simplifying 662 yields:
% 47.69/16.94  																																										| (417)  ~ (all_0_84_84 = e4)
% 47.69/16.94  																																										|
% 47.69/16.94  																																										| Equations (433) can reduce 828 to:
% 47.69/16.94  																																										| (256)  ~ (e4 = e1)
% 47.69/16.94  																																										|
% 47.69/16.94  																																										| Equations (433) can reduce 166 to:
% 47.69/16.94  																																										| (23)  ~ (e4 = e0)
% 47.69/16.94  																																										|
% 47.69/16.94  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 47.69/16.94  																																										|-Branch one:
% 47.69/16.94  																																										| (1265) all_0_84_84 = e3
% 47.69/16.94  																																										|
% 47.69/16.94  																																											| Equations (1265) can reduce 417 to:
% 47.69/16.94  																																											| (783)  ~ (e4 = e3)
% 47.69/16.94  																																											|
% 47.69/16.94  																																											| Simplifying 783 yields:
% 47.69/16.94  																																											| (177)  ~ (e4 = e3)
% 47.69/16.94  																																											|
% 47.69/16.94  																																											| From (1265) and (150) follows:
% 47.69/16.94  																																											| (4457) op(e3, e3) = all_0_63_63
% 47.69/16.94  																																											|
% 47.69/16.94  																																											+-Applying beta-rule and splitting (168), into two cases.
% 47.69/16.94  																																											|-Branch one:
% 47.69/16.94  																																											| (638) all_0_81_81 = e4
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Combining equations (638,635) yields a new equation:
% 47.69/16.94  																																												| (790) e4 = e3
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Simplifying 790 yields:
% 47.69/16.94  																																												| (434) e4 = e3
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Equations (434) can reduce 177 to:
% 47.69/16.94  																																												| (311) $false
% 47.69/16.94  																																												|
% 47.69/16.94  																																												|-The branch is then unsatisfiable
% 47.69/16.94  																																											|-Branch two:
% 47.69/16.94  																																											| (634)  ~ (all_0_81_81 = e4)
% 47.69/16.94  																																											| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.69/16.94  																																											|
% 47.69/16.94  																																												+-Applying beta-rule and splitting (2559), into two cases.
% 47.69/16.94  																																												|-Branch one:
% 47.69/16.94  																																												| (493) all_0_85_85 = e4
% 47.69/16.94  																																												|
% 47.69/16.94  																																													| Combining equations (954,493) yields a new equation:
% 47.69/16.94  																																													| (912) e4 = e0
% 47.69/16.94  																																													|
% 47.69/16.94  																																													| Equations (912) can reduce 23 to:
% 47.69/16.94  																																													| (311) $false
% 47.69/16.94  																																													|
% 47.69/16.94  																																													|-The branch is then unsatisfiable
% 47.69/16.94  																																												|-Branch two:
% 47.69/16.94  																																												| (648)  ~ (all_0_85_85 = e4)
% 47.69/16.94  																																												| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 47.69/16.94  																																												|
% 47.69/16.94  																																													+-Applying beta-rule and splitting (2576), into two cases.
% 47.69/16.94  																																													|-Branch one:
% 47.69/16.94  																																													| (607) all_0_93_93 = e4
% 47.69/16.94  																																													|
% 47.69/16.94  																																														| Combining equations (566,607) yields a new equation:
% 47.69/16.94  																																														| (814) e4 = e1
% 47.69/16.94  																																														|
% 47.69/16.94  																																														| Equations (814) can reduce 256 to:
% 47.69/16.94  																																														| (311) $false
% 47.69/16.94  																																														|
% 47.69/16.94  																																														|-The branch is then unsatisfiable
% 47.69/16.94  																																													|-Branch two:
% 47.69/16.94  																																													| (496)  ~ (all_0_93_93 = e4)
% 47.69/16.94  																																													| (2650) all_0_98_98 = e4
% 47.69/16.94  																																													|
% 47.69/16.94  																																														| Equations (2650) can reduce 2059 to:
% 47.69/16.94  																																														| (23)  ~ (e4 = e0)
% 47.69/16.94  																																														|
% 47.69/16.94  																																														| Instantiating formula (262) with e3, e3, e4, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e4, yields:
% 47.69/16.94  																																														| (10099) all_0_63_63 = e4
% 47.69/16.94  																																														|
% 47.69/16.94  																																														| Instantiating formula (262) with e3, e3, e0, all_0_63_63 and discharging atoms op(e3, e3) = all_0_63_63, op(e3, e3) = e0, yields:
% 47.69/16.94  																																														| (4460) all_0_63_63 = e0
% 47.69/16.94  																																														|
% 47.69/16.94  																																														| Combining equations (4460,10099) yields a new equation:
% 47.69/16.94  																																														| (912) e4 = e0
% 47.69/16.94  																																														|
% 47.69/16.94  																																														| Equations (912) can reduce 23 to:
% 47.69/16.94  																																														| (311) $false
% 47.69/16.94  																																														|
% 47.69/16.94  																																														|-The branch is then unsatisfiable
% 47.69/16.94  																																										|-Branch two:
% 47.69/16.94  																																										| (422)  ~ (all_0_84_84 = e3)
% 47.69/16.94  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.69/16.94  																																										|
% 47.69/16.94  																																											+-Applying beta-rule and splitting (3765), into two cases.
% 47.69/16.94  																																											|-Branch one:
% 47.69/16.94  																																											| (882) all_0_92_92 = e3
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Combining equations (1343,882) yields a new equation:
% 47.69/16.94  																																												| (548) e3 = e2
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Equations (548) can reduce 169 to:
% 47.69/16.94  																																												| (311) $false
% 47.69/16.94  																																												|
% 47.69/16.94  																																												|-The branch is then unsatisfiable
% 47.69/16.94  																																											|-Branch two:
% 47.69/16.94  																																											| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.94  																																											| (556) all_0_97_97 = e3
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Combining equations (556,542) yields a new equation:
% 47.69/16.94  																																												| (825) e3 = e1
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Simplifying 825 yields:
% 47.69/16.94  																																												| (772) e3 = e1
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Equations (772) can reduce 20 to:
% 47.69/16.94  																																												| (311) $false
% 47.69/16.94  																																												|
% 47.69/16.94  																																												|-The branch is then unsatisfiable
% 47.69/16.94  																																									|-Branch two:
% 47.69/16.94  																																									| (436)  ~ (all_0_80_80 = e4)
% 47.69/16.94  																																									| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.69/16.94  																																									|
% 47.69/16.94  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 47.69/16.94  																																										|-Branch one:
% 47.69/16.94  																																										| (1265) all_0_84_84 = e3
% 47.69/16.94  																																										|
% 47.69/16.94  																																											| Equations (1265) can reduce 417 to:
% 47.69/16.94  																																											| (783)  ~ (e4 = e3)
% 47.69/16.94  																																											|
% 47.69/16.94  																																											| Simplifying 783 yields:
% 47.69/16.94  																																											| (177)  ~ (e4 = e3)
% 47.69/16.94  																																											|
% 47.69/16.94  																																											+-Applying beta-rule and splitting (168), into two cases.
% 47.69/16.94  																																											|-Branch one:
% 47.69/16.94  																																											| (638) all_0_81_81 = e4
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Combining equations (635,638) yields a new equation:
% 47.69/16.94  																																												| (434) e4 = e3
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Equations (434) can reduce 177 to:
% 47.69/16.94  																																												| (311) $false
% 47.69/16.94  																																												|
% 47.69/16.94  																																												|-The branch is then unsatisfiable
% 47.69/16.94  																																											|-Branch two:
% 47.69/16.94  																																											| (634)  ~ (all_0_81_81 = e4)
% 47.69/16.94  																																											| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Equations (635) can reduce 634 to:
% 47.69/16.94  																																												| (783)  ~ (e4 = e3)
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Simplifying 783 yields:
% 47.69/16.94  																																												| (177)  ~ (e4 = e3)
% 47.69/16.94  																																												|
% 47.69/16.94  																																												+-Applying beta-rule and splitting (641), into two cases.
% 47.69/16.94  																																												|-Branch one:
% 47.69/16.94  																																												| (433) all_0_80_80 = e4
% 47.69/16.94  																																												|
% 47.69/16.94  																																													| Equations (433) can reduce 436 to:
% 47.69/16.94  																																													| (311) $false
% 47.69/16.94  																																													|
% 47.69/16.94  																																													|-The branch is then unsatisfiable
% 47.69/16.94  																																												|-Branch two:
% 47.69/16.94  																																												| (436)  ~ (all_0_80_80 = e4)
% 47.69/16.94  																																												| (638) all_0_81_81 = e4
% 47.69/16.94  																																												|
% 47.69/16.94  																																													| Combining equations (635,638) yields a new equation:
% 47.69/16.94  																																													| (434) e4 = e3
% 47.69/16.94  																																													|
% 47.69/16.94  																																													| Equations (434) can reduce 177 to:
% 47.69/16.94  																																													| (311) $false
% 47.69/16.94  																																													|
% 47.69/16.94  																																													|-The branch is then unsatisfiable
% 47.69/16.94  																																										|-Branch two:
% 47.69/16.94  																																										| (422)  ~ (all_0_84_84 = e3)
% 47.69/16.94  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.69/16.94  																																										|
% 47.69/16.94  																																											+-Applying beta-rule and splitting (3765), into two cases.
% 47.69/16.94  																																											|-Branch one:
% 47.69/16.94  																																											| (882) all_0_92_92 = e3
% 47.69/16.94  																																											|
% 47.69/16.94  																																												| Combining equations (1343,882) yields a new equation:
% 47.69/16.94  																																												| (548) e3 = e2
% 47.69/16.94  																																												|
% 47.69/16.94  																																												| Equations (548) can reduce 169 to:
% 47.69/16.94  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																											|-Branch two:
% 47.69/16.95  																																											| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.95  																																											| (556) all_0_97_97 = e3
% 47.69/16.95  																																											|
% 47.69/16.95  																																												| Combining equations (556,542) yields a new equation:
% 47.69/16.95  																																												| (825) e3 = e1
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Simplifying 825 yields:
% 47.69/16.95  																																												| (772) e3 = e1
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Equations (772) can reduce 20 to:
% 47.69/16.95  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																							|-Branch two:
% 47.69/16.95  																																							| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.95  																																							| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.95  																																							|
% 47.69/16.95  																																								+-Applying beta-rule and splitting (106), into two cases.
% 47.69/16.95  																																								|-Branch one:
% 47.69/16.95  																																								| (771) all_0_78_78 = e3
% 47.69/16.95  																																								|
% 47.69/16.95  																																									| Combining equations (400,771) yields a new equation:
% 47.69/16.95  																																									| (548) e3 = e2
% 47.69/16.95  																																									|
% 47.69/16.95  																																									| Equations (548) can reduce 169 to:
% 47.69/16.95  																																									| (311) $false
% 47.69/16.95  																																									|
% 47.69/16.95  																																									|-The branch is then unsatisfiable
% 47.69/16.95  																																								|-Branch two:
% 47.69/16.95  																																								| (418)  ~ (all_0_78_78 = e3)
% 47.69/16.95  																																								| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.69/16.95  																																								|
% 47.69/16.95  																																									+-Applying beta-rule and splitting (4488), into two cases.
% 47.69/16.95  																																									|-Branch one:
% 47.69/16.95  																																									| (804) all_0_85_85 = e3
% 47.69/16.95  																																									|
% 47.69/16.95  																																										| Combining equations (954,804) yields a new equation:
% 47.69/16.95  																																										| (600) e3 = e0
% 47.69/16.95  																																										|
% 47.69/16.95  																																										| Equations (600) can reduce 50 to:
% 47.69/16.95  																																										| (311) $false
% 47.69/16.95  																																										|
% 47.69/16.95  																																										|-The branch is then unsatisfiable
% 47.69/16.95  																																									|-Branch two:
% 47.69/16.95  																																									| (952)  ~ (all_0_85_85 = e3)
% 47.69/16.95  																																									| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.95  																																									|
% 47.69/16.95  																																										+-Applying beta-rule and splitting (1756), into two cases.
% 47.69/16.95  																																										|-Branch one:
% 47.69/16.95  																																										| (1708) all_0_79_79 = e3
% 47.69/16.95  																																										|
% 47.69/16.95  																																											| Combining equations (457,1708) yields a new equation:
% 47.69/16.95  																																											| (772) e3 = e1
% 47.69/16.95  																																											|
% 47.69/16.95  																																											| Equations (772) can reduce 20 to:
% 47.69/16.95  																																											| (311) $false
% 47.69/16.95  																																											|
% 47.69/16.95  																																											|-The branch is then unsatisfiable
% 47.69/16.95  																																										|-Branch two:
% 47.69/16.95  																																										| (1711)  ~ (all_0_79_79 = e3)
% 47.69/16.95  																																										| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.69/16.95  																																										|
% 47.69/16.95  																																											| Equations (457) can reduce 1711 to:
% 47.69/16.95  																																											| (683)  ~ (e3 = e1)
% 47.69/16.95  																																											|
% 47.69/16.95  																																											| Simplifying 683 yields:
% 47.69/16.95  																																											| (20)  ~ (e3 = e1)
% 47.69/16.95  																																											|
% 47.69/16.95  																																											+-Applying beta-rule and splitting (4559), into two cases.
% 47.69/16.95  																																											|-Branch one:
% 47.69/16.95  																																											| (570) all_0_93_93 = e3
% 47.69/16.95  																																											|
% 47.69/16.95  																																												| Combining equations (566,570) yields a new equation:
% 47.69/16.95  																																												| (772) e3 = e1
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Equations (772) can reduce 20 to:
% 47.69/16.95  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																											|-Branch two:
% 47.69/16.95  																																											| (602)  ~ (all_0_93_93 = e3)
% 47.69/16.95  																																											| (969) all_0_98_98 = e3
% 47.69/16.95  																																											|
% 47.69/16.95  																																												| Equations (969) can reduce 1519 to:
% 47.69/16.95  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																		|-Branch two:
% 47.69/16.95  																																		| (465)  ~ (all_0_82_82 = e4)
% 47.69/16.95  																																		| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.69/16.95  																																		|
% 47.69/16.95  																																			+-Applying beta-rule and splitting (4), into two cases.
% 47.69/16.95  																																			|-Branch one:
% 47.69/16.95  																																			| (463) all_0_78_78 = e4
% 47.69/16.95  																																			|
% 47.69/16.95  																																				| Combining equations (463,400) yields a new equation:
% 47.69/16.95  																																				| (309) e4 = e2
% 47.69/16.95  																																				|
% 47.69/16.95  																																				| Simplifying 309 yields:
% 47.69/16.95  																																				| (310) e4 = e2
% 47.69/16.95  																																				|
% 47.69/16.95  																																				| Equations (310) can reduce 79 to:
% 47.69/16.95  																																				| (311) $false
% 47.69/16.95  																																				|
% 47.69/16.95  																																				|-The branch is then unsatisfiable
% 47.69/16.95  																																			|-Branch two:
% 47.69/16.95  																																			| (640)  ~ (all_0_78_78 = e4)
% 47.69/16.95  																																			| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.69/16.95  																																			|
% 47.69/16.95  																																				+-Applying beta-rule and splitting (472), into two cases.
% 47.69/16.95  																																				|-Branch one:
% 47.69/16.95  																																				| (438) all_0_84_84 = e4
% 47.69/16.95  																																				|
% 47.69/16.95  																																					| Equations (438) can reduce 273 to:
% 47.69/16.95  																																					| (436)  ~ (all_0_80_80 = e4)
% 47.69/16.95  																																					|
% 47.69/16.95  																																					| Equations (438) can reduce 7 to:
% 47.69/16.95  																																					| (465)  ~ (all_0_82_82 = e4)
% 47.69/16.95  																																					|
% 47.69/16.95  																																					| From (438) and (150) follows:
% 47.69/16.95  																																					| (10441) op(e3, e4) = all_0_63_63
% 47.69/16.95  																																					|
% 47.69/16.95  																																					+-Applying beta-rule and splitting (207), into two cases.
% 47.69/16.95  																																					|-Branch one:
% 47.69/16.95  																																					| (416) all_0_80_80 = e3
% 47.69/16.95  																																					|
% 47.69/16.95  																																						| Equations (416) can reduce 144 to:
% 47.69/16.95  																																						| (419)  ~ (all_0_81_81 = e3)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Simplifying 419 yields:
% 47.69/16.95  																																						| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Equations (416) can reduce 436 to:
% 47.69/16.95  																																						| (783)  ~ (e4 = e3)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Simplifying 783 yields:
% 47.69/16.95  																																						| (177)  ~ (e4 = e3)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Equations (416) can reduce 394 to:
% 47.69/16.95  																																						| (169)  ~ (e3 = e2)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Equations (416) can reduce 828 to:
% 47.69/16.95  																																						| (20)  ~ (e3 = e1)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						| Equations (416) can reduce 166 to:
% 47.69/16.95  																																						| (50)  ~ (e3 = e0)
% 47.69/16.95  																																						|
% 47.69/16.95  																																						+-Applying beta-rule and splitting (171), into two cases.
% 47.69/16.95  																																						|-Branch one:
% 47.69/16.95  																																						| (789) all_0_82_82 = e3
% 47.69/16.95  																																						|
% 47.69/16.95  																																							| Equations (789) can reduce 200 to:
% 47.69/16.95  																																							| (1070)  ~ (all_0_95_95 = e3)
% 47.69/16.95  																																							|
% 47.69/16.95  																																							| Simplifying 1070 yields:
% 47.69/16.95  																																							| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.95  																																							|
% 47.69/16.95  																																							+-Applying beta-rule and splitting (270), into two cases.
% 47.69/16.95  																																							|-Branch one:
% 47.69/16.95  																																							| (744) all_0_95_95 = e3
% 47.69/16.95  																																							|
% 47.69/16.95  																																								| Equations (744) can reduce 765 to:
% 47.69/16.95  																																								| (311) $false
% 47.69/16.95  																																								|
% 47.69/16.95  																																								|-The branch is then unsatisfiable
% 47.69/16.95  																																							|-Branch two:
% 47.69/16.95  																																							| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.95  																																							| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.69/16.95  																																							|
% 47.69/16.95  																																								+-Applying beta-rule and splitting (99), into two cases.
% 47.69/16.95  																																								|-Branch one:
% 47.69/16.95  																																								| (767) all_0_95_95 = e2
% 47.69/16.95  																																								|
% 47.69/16.95  																																									| Equations (767) can reduce 355 to:
% 47.69/16.95  																																									| (311) $false
% 47.69/16.95  																																									|
% 47.69/16.95  																																									|-The branch is then unsatisfiable
% 47.69/16.95  																																								|-Branch two:
% 47.69/16.95  																																								| (355)  ~ (all_0_95_95 = e2)
% 47.69/16.95  																																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.69/16.95  																																								|
% 47.69/16.95  																																									+-Applying beta-rule and splitting (770), into two cases.
% 47.69/16.95  																																									|-Branch one:
% 47.69/16.95  																																									| (785) all_0_95_95 = e1
% 47.69/16.95  																																									|
% 47.69/16.95  																																										| Equations (785) can reduce 680 to:
% 47.69/16.95  																																										| (311) $false
% 47.69/16.95  																																										|
% 47.69/16.95  																																										|-The branch is then unsatisfiable
% 47.69/16.95  																																									|-Branch two:
% 47.69/16.95  																																									| (680)  ~ (all_0_95_95 = e1)
% 47.69/16.95  																																									| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.69/16.95  																																									|
% 47.69/16.95  																																										+-Applying beta-rule and splitting (853), into two cases.
% 47.69/16.95  																																										|-Branch one:
% 47.69/16.95  																																										| (744) all_0_95_95 = e3
% 47.69/16.95  																																										|
% 47.69/16.95  																																											| Equations (744) can reduce 765 to:
% 47.69/16.95  																																											| (311) $false
% 47.69/16.95  																																											|
% 47.69/16.95  																																											|-The branch is then unsatisfiable
% 47.69/16.95  																																										|-Branch two:
% 47.69/16.95  																																										| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.95  																																										| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.69/16.95  																																										|
% 47.69/16.95  																																											+-Applying beta-rule and splitting (857), into two cases.
% 47.69/16.95  																																											|-Branch one:
% 47.69/16.95  																																											| (858) all_0_95_95 = e0
% 47.69/16.95  																																											|
% 47.69/16.95  																																												| Equations (858) can reduce 893 to:
% 47.69/16.95  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																											|-Branch two:
% 47.69/16.95  																																											| (893)  ~ (all_0_95_95 = e0)
% 47.69/16.95  																																											| (894) all_0_95_95 = e4
% 47.69/16.95  																																											|
% 47.69/16.95  																																												| From (894) and (976) follows:
% 47.69/16.95  																																												| (35438) op(e3, e4) = e0
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Instantiating formula (262) with e3, e4, all_0_63_63, e1 and discharging atoms op(e3, e4) = all_0_63_63, op(e3, e4) = e1, yields:
% 47.69/16.95  																																												| (10509) all_0_63_63 = e1
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Instantiating formula (262) with e3, e4, e0, all_0_63_63 and discharging atoms op(e3, e4) = all_0_63_63, op(e3, e4) = e0, yields:
% 47.69/16.95  																																												| (4460) all_0_63_63 = e0
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Combining equations (10509,4460) yields a new equation:
% 47.69/16.95  																																												| (1107) e1 = e0
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Simplifying 1107 yields:
% 47.69/16.95  																																												| (865) e1 = e0
% 47.69/16.95  																																												|
% 47.69/16.95  																																												| Equations (865) can reduce 264 to:
% 47.69/16.95  																																												| (311) $false
% 47.69/16.95  																																												|
% 47.69/16.95  																																												|-The branch is then unsatisfiable
% 47.69/16.95  																																						|-Branch two:
% 47.69/16.95  																																						| (793)  ~ (all_0_82_82 = e3)
% 47.69/16.95  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.69/16.95  																																						|
% 47.69/16.95  																																							+-Applying beta-rule and splitting (641), into two cases.
% 47.69/16.95  																																							|-Branch one:
% 47.69/16.95  																																							| (433) all_0_80_80 = e4
% 47.69/16.95  																																							|
% 47.69/16.95  																																								| Combining equations (416,433) yields a new equation:
% 47.69/16.95  																																								| (434) e4 = e3
% 47.69/16.95  																																								|
% 47.69/16.95  																																								| Equations (434) can reduce 177 to:
% 47.69/16.95  																																								| (311) $false
% 47.69/16.95  																																								|
% 47.69/16.95  																																								|-The branch is then unsatisfiable
% 47.69/16.95  																																							|-Branch two:
% 47.69/16.95  																																							| (436)  ~ (all_0_80_80 = e4)
% 47.69/16.95  																																							| (638) all_0_81_81 = e4
% 47.69/16.95  																																							|
% 47.69/16.95  																																								| Equations (638) can reduce 5 to:
% 47.69/16.95  																																								| (320)  ~ (all_0_98_98 = e4)
% 47.69/16.95  																																								|
% 47.69/16.95  																																								| Simplifying 320 yields:
% 47.69/16.95  																																								| (321)  ~ (all_0_98_98 = e4)
% 47.69/16.95  																																								|
% 47.69/16.95  																																								| Equations (638) can reduce 420 to:
% 47.69/16.95  																																								| (177)  ~ (e4 = e3)
% 47.69/16.95  																																								|
% 47.69/16.95  																																								| Equations (638) can reduce 396 to:
% 47.69/16.95  																																								| (79)  ~ (e4 = e2)
% 47.69/16.95  																																								|
% 47.69/16.95  																																								| Equations (638) can reduce 628 to:
% 47.69/16.95  																																								| (256)  ~ (e4 = e1)
% 47.69/16.95  																																								|
% 47.69/16.95  																																								+-Applying beta-rule and splitting (140), into two cases.
% 47.69/16.95  																																								|-Branch one:
% 47.69/16.95  																																								| (313) all_0_94_94 = e4
% 47.69/16.95  																																								|
% 47.69/16.95  																																									| Combining equations (313,1757) yields a new equation:
% 47.69/16.95  																																									| (309) e4 = e2
% 47.69/16.95  																																									|
% 47.69/16.95  																																									| Simplifying 309 yields:
% 47.69/16.95  																																									| (310) e4 = e2
% 47.69/16.95  																																									|
% 47.69/16.95  																																									| Equations (310) can reduce 79 to:
% 47.69/16.95  																																									| (311) $false
% 47.69/16.95  																																									|
% 47.69/16.95  																																									|-The branch is then unsatisfiable
% 47.69/16.95  																																								|-Branch two:
% 47.69/16.95  																																								| (34849)  ~ (all_0_94_94 = e4)
% 47.69/16.95  																																								| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.69/16.95  																																								|
% 47.69/16.96  																																									+-Applying beta-rule and splitting (34850), into two cases.
% 47.69/16.96  																																									|-Branch one:
% 47.69/16.96  																																									| (894) all_0_95_95 = e4
% 47.69/16.96  																																									|
% 47.69/16.96  																																										| Equations (894) can reduce 107 to:
% 47.69/16.96  																																										| (320)  ~ (all_0_98_98 = e4)
% 47.69/16.96  																																										|
% 47.69/16.96  																																										| Simplifying 320 yields:
% 47.69/16.96  																																										| (321)  ~ (all_0_98_98 = e4)
% 47.69/16.96  																																										|
% 47.69/16.96  																																										+-Applying beta-rule and splitting (270), into two cases.
% 47.69/16.96  																																										|-Branch one:
% 47.69/16.96  																																										| (744) all_0_95_95 = e3
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Combining equations (894,744) yields a new equation:
% 47.69/16.96  																																											| (790) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Simplifying 790 yields:
% 47.69/16.96  																																											| (434) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Equations (434) can reduce 177 to:
% 47.69/16.96  																																											| (311) $false
% 47.69/16.96  																																											|
% 47.69/16.96  																																											|-The branch is then unsatisfiable
% 47.69/16.96  																																										|-Branch two:
% 47.69/16.96  																																										| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.96  																																										| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Equations (894) can reduce 765 to:
% 47.69/16.96  																																											| (177)  ~ (e4 = e3)
% 47.69/16.96  																																											|
% 47.69/16.96  																																											+-Applying beta-rule and splitting (250), into two cases.
% 47.69/16.96  																																											|-Branch one:
% 47.69/16.96  																																											| (635) all_0_81_81 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																												| Combining equations (635,638) yields a new equation:
% 47.69/16.96  																																												| (434) e4 = e3
% 47.69/16.96  																																												|
% 47.69/16.96  																																												| Equations (434) can reduce 177 to:
% 47.69/16.96  																																												| (311) $false
% 47.69/16.96  																																												|
% 47.69/16.96  																																												|-The branch is then unsatisfiable
% 47.69/16.96  																																											|-Branch two:
% 47.69/16.96  																																											| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.96  																																											| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																												+-Applying beta-rule and splitting (220), into two cases.
% 47.69/16.96  																																												|-Branch one:
% 47.69/16.96  																																												| (771) all_0_78_78 = e3
% 47.69/16.96  																																												|
% 47.69/16.96  																																													| Combining equations (400,771) yields a new equation:
% 47.69/16.96  																																													| (548) e3 = e2
% 47.69/16.96  																																													|
% 47.69/16.96  																																													| Equations (548) can reduce 169 to:
% 47.69/16.96  																																													| (311) $false
% 47.69/16.96  																																													|
% 47.69/16.96  																																													|-The branch is then unsatisfiable
% 47.69/16.96  																																												|-Branch two:
% 47.69/16.96  																																												| (418)  ~ (all_0_78_78 = e3)
% 47.69/16.96  																																												| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.69/16.96  																																												|
% 47.69/16.96  																																													+-Applying beta-rule and splitting (4488), into two cases.
% 47.69/16.96  																																													|-Branch one:
% 47.69/16.96  																																													| (804) all_0_85_85 = e3
% 47.69/16.96  																																													|
% 47.69/16.96  																																														| Combining equations (954,804) yields a new equation:
% 47.69/16.96  																																														| (600) e3 = e0
% 47.69/16.96  																																														|
% 47.69/16.96  																																														| Equations (600) can reduce 50 to:
% 47.69/16.96  																																														| (311) $false
% 47.69/16.96  																																														|
% 47.69/16.96  																																														|-The branch is then unsatisfiable
% 47.69/16.96  																																													|-Branch two:
% 47.69/16.96  																																													| (952)  ~ (all_0_85_85 = e3)
% 47.69/16.96  																																													| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.96  																																													|
% 47.69/16.96  																																														+-Applying beta-rule and splitting (4559), into two cases.
% 47.69/16.96  																																														|-Branch one:
% 47.69/16.96  																																														| (570) all_0_93_93 = e3
% 47.69/16.96  																																														|
% 47.69/16.96  																																															| Combining equations (566,570) yields a new equation:
% 47.69/16.96  																																															| (772) e3 = e1
% 47.69/16.96  																																															|
% 47.69/16.96  																																															| Equations (772) can reduce 20 to:
% 47.69/16.96  																																															| (311) $false
% 47.69/16.96  																																															|
% 47.69/16.96  																																															|-The branch is then unsatisfiable
% 47.69/16.96  																																														|-Branch two:
% 47.69/16.96  																																														| (602)  ~ (all_0_93_93 = e3)
% 47.69/16.96  																																														| (969) all_0_98_98 = e3
% 47.69/16.96  																																														|
% 47.69/16.96  																																															| Equations (969) can reduce 321 to:
% 47.69/16.96  																																															| (783)  ~ (e4 = e3)
% 47.69/16.96  																																															|
% 47.69/16.96  																																															| Simplifying 783 yields:
% 47.69/16.96  																																															| (177)  ~ (e4 = e3)
% 47.69/16.96  																																															|
% 47.69/16.96  																																															| Equations (969) can reduce 2059 to:
% 47.69/16.96  																																															| (50)  ~ (e3 = e0)
% 47.69/16.96  																																															|
% 47.69/16.96  																																															+-Applying beta-rule and splitting (775), into two cases.
% 47.69/16.96  																																															|-Branch one:
% 47.69/16.96  																																															| (789) all_0_82_82 = e3
% 47.69/16.96  																																															|
% 47.69/16.96  																																																| Equations (789) can reduce 793 to:
% 47.69/16.96  																																																| (311) $false
% 47.69/16.96  																																																|
% 47.69/16.96  																																																|-The branch is then unsatisfiable
% 47.69/16.96  																																															|-Branch two:
% 47.69/16.96  																																															| (793)  ~ (all_0_82_82 = e3)
% 47.69/16.96  																																															| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.69/16.96  																																															|
% 47.69/16.96  																																																+-Applying beta-rule and splitting (794), into two cases.
% 47.69/16.96  																																																|-Branch one:
% 47.69/16.96  																																																| (754) all_0_90_90 = e3
% 47.69/16.96  																																																|
% 47.69/16.96  																																																	| Combining equations (758,754) yields a new equation:
% 47.69/16.96  																																																	| (600) e3 = e0
% 47.69/16.96  																																																	|
% 47.69/16.96  																																																	| Equations (600) can reduce 50 to:
% 47.69/16.96  																																																	| (311) $false
% 47.69/16.96  																																																	|
% 47.69/16.96  																																																	|-The branch is then unsatisfiable
% 47.69/16.96  																																																|-Branch two:
% 47.69/16.96  																																																| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.96  																																																| (744) all_0_95_95 = e3
% 47.69/16.96  																																																|
% 47.69/16.96  																																																	| Combining equations (744,894) yields a new equation:
% 47.69/16.96  																																																	| (434) e4 = e3
% 47.69/16.96  																																																	|
% 47.69/16.96  																																																	| Equations (434) can reduce 177 to:
% 47.69/16.96  																																																	| (311) $false
% 47.69/16.96  																																																	|
% 47.69/16.96  																																																	|-The branch is then unsatisfiable
% 47.69/16.96  																																									|-Branch two:
% 47.69/16.96  																																									| (315)  ~ (all_0_95_95 = e4)
% 47.69/16.96  																																									| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.69/16.96  																																									|
% 47.69/16.96  																																										+-Applying beta-rule and splitting (34882), into two cases.
% 47.69/16.96  																																										|-Branch one:
% 47.69/16.96  																																										| (610) all_0_97_97 = e4
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Combining equations (610,542) yields a new equation:
% 47.69/16.96  																																											| (813) e4 = e1
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Simplifying 813 yields:
% 47.69/16.96  																																											| (814) e4 = e1
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Equations (814) can reduce 256 to:
% 47.69/16.96  																																											| (311) $false
% 47.69/16.96  																																											|
% 47.69/16.96  																																											|-The branch is then unsatisfiable
% 47.69/16.96  																																										|-Branch two:
% 47.69/16.96  																																										| (319)  ~ (all_0_97_97 = e4)
% 47.69/16.96  																																										| (2650) all_0_98_98 = e4
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Equations (2650) can reduce 321 to:
% 47.69/16.96  																																											| (311) $false
% 47.69/16.96  																																											|
% 47.69/16.96  																																											|-The branch is then unsatisfiable
% 47.69/16.96  																																					|-Branch two:
% 47.69/16.96  																																					| (2347)  ~ (all_0_80_80 = e3)
% 47.69/16.96  																																					| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.69/16.96  																																					|
% 47.69/16.96  																																						+-Applying beta-rule and splitting (171), into two cases.
% 47.69/16.96  																																						|-Branch one:
% 47.69/16.96  																																						| (789) all_0_82_82 = e3
% 47.69/16.96  																																						|
% 47.69/16.96  																																							| Equations (789) can reduce 200 to:
% 47.69/16.96  																																							| (1070)  ~ (all_0_95_95 = e3)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							| Simplifying 1070 yields:
% 47.69/16.96  																																							| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							| Equations (789) can reduce 465 to:
% 47.69/16.96  																																							| (783)  ~ (e4 = e3)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							| Simplifying 783 yields:
% 47.69/16.96  																																							| (177)  ~ (e4 = e3)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							| Equations (789) can reduce 198 to:
% 47.69/16.96  																																							| (20)  ~ (e3 = e1)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							| Equations (789) can reduce 914 to:
% 47.69/16.96  																																							| (50)  ~ (e3 = e0)
% 47.69/16.96  																																							|
% 47.69/16.96  																																							+-Applying beta-rule and splitting (3625), into two cases.
% 47.69/16.96  																																							|-Branch one:
% 47.69/16.96  																																							| (469) all_0_82_82 = e4
% 47.69/16.96  																																							|
% 47.69/16.96  																																								| Combining equations (789,469) yields a new equation:
% 47.69/16.96  																																								| (434) e4 = e3
% 47.69/16.96  																																								|
% 47.69/16.96  																																								| Equations (434) can reduce 177 to:
% 47.69/16.96  																																								| (311) $false
% 47.69/16.96  																																								|
% 47.69/16.96  																																								|-The branch is then unsatisfiable
% 47.69/16.96  																																							|-Branch two:
% 47.69/16.96  																																							| (465)  ~ (all_0_82_82 = e4)
% 47.69/16.96  																																							| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.69/16.96  																																							|
% 47.69/16.96  																																								| Equations (789) can reduce 465 to:
% 47.69/16.96  																																								| (783)  ~ (e4 = e3)
% 47.69/16.96  																																								|
% 47.69/16.96  																																								| Simplifying 783 yields:
% 47.69/16.96  																																								| (177)  ~ (e4 = e3)
% 47.69/16.96  																																								|
% 47.69/16.96  																																								+-Applying beta-rule and splitting (270), into two cases.
% 47.69/16.96  																																								|-Branch one:
% 47.69/16.96  																																								| (744) all_0_95_95 = e3
% 47.69/16.96  																																								|
% 47.69/16.96  																																									| Equations (744) can reduce 765 to:
% 47.69/16.96  																																									| (311) $false
% 47.69/16.96  																																									|
% 47.69/16.96  																																									|-The branch is then unsatisfiable
% 47.69/16.96  																																								|-Branch two:
% 47.69/16.96  																																								| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.96  																																								| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.69/16.96  																																								|
% 47.69/16.96  																																									+-Applying beta-rule and splitting (48), into two cases.
% 47.69/16.96  																																									|-Branch one:
% 47.69/16.96  																																									| (525) all_0_98_98 = e2
% 47.69/16.96  																																									|
% 47.69/16.96  																																										| Equations (525) can reduce 1349 to:
% 47.69/16.96  																																										| (311) $false
% 47.69/16.96  																																										|
% 47.69/16.96  																																										|-The branch is then unsatisfiable
% 47.69/16.96  																																									|-Branch two:
% 47.69/16.96  																																									| (1349)  ~ (all_0_98_98 = e2)
% 47.69/16.96  																																									| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.69/16.96  																																									|
% 47.69/16.96  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 47.69/16.96  																																										|-Branch one:
% 47.69/16.96  																																										| (1265) all_0_84_84 = e3
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Combining equations (438,1265) yields a new equation:
% 47.69/16.96  																																											| (790) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Simplifying 790 yields:
% 47.69/16.96  																																											| (434) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Equations (434) can reduce 177 to:
% 47.69/16.96  																																											| (311) $false
% 47.69/16.96  																																											|
% 47.69/16.96  																																											|-The branch is then unsatisfiable
% 47.69/16.96  																																										|-Branch two:
% 47.69/16.96  																																										| (422)  ~ (all_0_84_84 = e3)
% 47.69/16.96  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.69/16.96  																																										|
% 47.69/16.96  																																											+-Applying beta-rule and splitting (766), into two cases.
% 47.69/16.96  																																											|-Branch one:
% 47.69/16.96  																																											| (778) all_0_96_96 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																												| Combining equations (1837,778) yields a new equation:
% 47.69/16.96  																																												| (600) e3 = e0
% 47.69/16.96  																																												|
% 47.69/16.96  																																												| Equations (600) can reduce 50 to:
% 47.69/16.96  																																												| (311) $false
% 47.69/16.96  																																												|
% 47.69/16.96  																																												|-The branch is then unsatisfiable
% 47.69/16.96  																																											|-Branch two:
% 47.69/16.96  																																											| (964)  ~ (all_0_96_96 = e3)
% 47.69/16.96  																																											| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																												+-Applying beta-rule and splitting (965), into two cases.
% 47.69/16.96  																																												|-Branch one:
% 47.69/16.96  																																												| (556) all_0_97_97 = e3
% 47.69/16.96  																																												|
% 47.69/16.96  																																													| Combining equations (556,542) yields a new equation:
% 47.69/16.96  																																													| (825) e3 = e1
% 47.69/16.96  																																													|
% 47.69/16.96  																																													| Simplifying 825 yields:
% 47.69/16.96  																																													| (772) e3 = e1
% 47.69/16.96  																																													|
% 47.69/16.96  																																													| Equations (772) can reduce 20 to:
% 47.69/16.96  																																													| (311) $false
% 47.69/16.96  																																													|
% 47.69/16.96  																																													|-The branch is then unsatisfiable
% 47.69/16.96  																																												|-Branch two:
% 47.69/16.96  																																												| (428)  ~ (all_0_97_97 = e3)
% 47.69/16.96  																																												| (969) all_0_98_98 = e3
% 47.69/16.96  																																												|
% 47.69/16.96  																																													| Equations (969) can reduce 1349 to:
% 47.69/16.96  																																													| (169)  ~ (e3 = e2)
% 47.69/16.96  																																													|
% 47.69/16.96  																																													| Equations (969) can reduce 1804 to:
% 47.69/16.96  																																													| (20)  ~ (e3 = e1)
% 47.69/16.96  																																													|
% 47.69/16.96  																																													+-Applying beta-rule and splitting (3765), into two cases.
% 47.69/16.96  																																													|-Branch one:
% 47.69/16.96  																																													| (882) all_0_92_92 = e3
% 47.69/16.96  																																													|
% 47.69/16.96  																																														| Combining equations (1343,882) yields a new equation:
% 47.69/16.96  																																														| (548) e3 = e2
% 47.69/16.96  																																														|
% 47.69/16.96  																																														| Equations (548) can reduce 169 to:
% 47.69/16.96  																																														| (311) $false
% 47.69/16.96  																																														|
% 47.69/16.96  																																														|-The branch is then unsatisfiable
% 47.69/16.96  																																													|-Branch two:
% 47.69/16.96  																																													| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.96  																																													| (556) all_0_97_97 = e3
% 47.69/16.96  																																													|
% 47.69/16.96  																																														| Combining equations (542,556) yields a new equation:
% 47.69/16.96  																																														| (772) e3 = e1
% 47.69/16.96  																																														|
% 47.69/16.96  																																														| Equations (772) can reduce 20 to:
% 47.69/16.96  																																														| (311) $false
% 47.69/16.96  																																														|
% 47.69/16.96  																																														|-The branch is then unsatisfiable
% 47.69/16.96  																																						|-Branch two:
% 47.69/16.96  																																						| (793)  ~ (all_0_82_82 = e3)
% 47.69/16.96  																																						| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.69/16.96  																																						|
% 47.69/16.96  																																							+-Applying beta-rule and splitting (106), into two cases.
% 47.69/16.96  																																							|-Branch one:
% 47.69/16.96  																																							| (771) all_0_78_78 = e3
% 47.69/16.96  																																							|
% 47.69/16.96  																																								| Combining equations (400,771) yields a new equation:
% 47.69/16.96  																																								| (548) e3 = e2
% 47.69/16.96  																																								|
% 47.69/16.96  																																								| Equations (548) can reduce 169 to:
% 47.69/16.96  																																								| (311) $false
% 47.69/16.96  																																								|
% 47.69/16.96  																																								|-The branch is then unsatisfiable
% 47.69/16.96  																																							|-Branch two:
% 47.69/16.96  																																							| (418)  ~ (all_0_78_78 = e3)
% 47.69/16.96  																																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.69/16.96  																																							|
% 47.69/16.96  																																								| Equations (400) can reduce 418 to:
% 47.69/16.96  																																								| (356)  ~ (e3 = e2)
% 47.69/16.96  																																								|
% 47.69/16.96  																																								| Simplifying 356 yields:
% 47.69/16.96  																																								| (169)  ~ (e3 = e2)
% 47.69/16.96  																																								|
% 47.69/16.96  																																								+-Applying beta-rule and splitting (220), into two cases.
% 47.69/16.96  																																								|-Branch one:
% 47.69/16.96  																																								| (771) all_0_78_78 = e3
% 47.69/16.96  																																								|
% 47.69/16.96  																																									| Combining equations (400,771) yields a new equation:
% 47.69/16.96  																																									| (548) e3 = e2
% 47.69/16.96  																																									|
% 47.69/16.96  																																									| Equations (548) can reduce 169 to:
% 47.69/16.96  																																									| (311) $false
% 47.69/16.96  																																									|
% 47.69/16.96  																																									|-The branch is then unsatisfiable
% 47.69/16.96  																																								|-Branch two:
% 47.69/16.96  																																								| (418)  ~ (all_0_78_78 = e3)
% 47.69/16.96  																																								| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.69/16.96  																																								|
% 47.69/16.96  																																									| Equations (400) can reduce 418 to:
% 47.69/16.96  																																									| (356)  ~ (e3 = e2)
% 47.69/16.96  																																									|
% 47.69/16.96  																																									| Simplifying 356 yields:
% 47.69/16.96  																																									| (169)  ~ (e3 = e2)
% 47.69/16.96  																																									|
% 47.69/16.96  																																									+-Applying beta-rule and splitting (641), into two cases.
% 47.69/16.96  																																									|-Branch one:
% 47.69/16.96  																																									| (433) all_0_80_80 = e4
% 47.69/16.96  																																									|
% 47.69/16.96  																																										| Equations (433) can reduce 436 to:
% 47.69/16.96  																																										| (311) $false
% 47.69/16.96  																																										|
% 47.69/16.96  																																										|-The branch is then unsatisfiable
% 47.69/16.96  																																									|-Branch two:
% 47.69/16.96  																																									| (436)  ~ (all_0_80_80 = e4)
% 47.69/16.96  																																									| (638) all_0_81_81 = e4
% 47.69/16.96  																																									|
% 47.69/16.96  																																										| Equations (638) can reduce 5 to:
% 47.69/16.96  																																										| (320)  ~ (all_0_98_98 = e4)
% 47.69/16.96  																																										|
% 47.69/16.96  																																										| Simplifying 320 yields:
% 47.69/16.96  																																										| (321)  ~ (all_0_98_98 = e4)
% 47.69/16.96  																																										|
% 47.69/16.96  																																										+-Applying beta-rule and splitting (250), into two cases.
% 47.69/16.96  																																										|-Branch one:
% 47.69/16.96  																																										| (635) all_0_81_81 = e3
% 47.69/16.96  																																										|
% 47.69/16.96  																																											| Combining equations (638,635) yields a new equation:
% 47.69/16.96  																																											| (790) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Simplifying 790 yields:
% 47.69/16.96  																																											| (434) e4 = e3
% 47.69/16.96  																																											|
% 47.69/16.96  																																											| Equations (434) can reduce 177 to:
% 47.69/16.96  																																											| (311) $false
% 47.69/16.96  																																											|
% 47.69/16.96  																																											|-The branch is then unsatisfiable
% 47.69/16.96  																																										|-Branch two:
% 47.69/16.96  																																										| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.97  																																										| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.97  																																										|
% 47.69/16.97  																																											+-Applying beta-rule and splitting (1296), into two cases.
% 47.69/16.97  																																											|-Branch one:
% 47.69/16.97  																																											| (795) all_0_83_83 = e3
% 47.69/16.97  																																											|
% 47.69/16.97  																																												| Combining equations (453,795) yields a new equation:
% 47.69/16.97  																																												| (548) e3 = e2
% 47.69/16.97  																																												|
% 47.69/16.97  																																												| Equations (548) can reduce 169 to:
% 47.69/16.97  																																												| (311) $false
% 47.69/16.97  																																												|
% 47.69/16.97  																																												|-The branch is then unsatisfiable
% 47.69/16.97  																																											|-Branch two:
% 47.69/16.97  																																											| (779)  ~ (all_0_83_83 = e3)
% 47.69/16.97  																																											| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.69/16.97  																																											|
% 47.69/16.97  																																												+-Applying beta-rule and splitting (4488), into two cases.
% 47.69/16.97  																																												|-Branch one:
% 47.69/16.97  																																												| (804) all_0_85_85 = e3
% 47.69/16.97  																																												|
% 47.69/16.97  																																													| Combining equations (954,804) yields a new equation:
% 47.69/16.97  																																													| (600) e3 = e0
% 47.69/16.97  																																													|
% 47.69/16.97  																																													| Equations (600) can reduce 50 to:
% 47.69/16.97  																																													| (311) $false
% 47.69/16.97  																																													|
% 47.69/16.97  																																													|-The branch is then unsatisfiable
% 47.69/16.97  																																												|-Branch two:
% 47.69/16.97  																																												| (952)  ~ (all_0_85_85 = e3)
% 47.69/16.97  																																												| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.97  																																												|
% 47.69/16.97  																																													+-Applying beta-rule and splitting (4559), into two cases.
% 47.69/16.97  																																													|-Branch one:
% 47.69/16.97  																																													| (570) all_0_93_93 = e3
% 47.69/16.97  																																													|
% 47.69/16.97  																																														| Combining equations (566,570) yields a new equation:
% 47.69/16.97  																																														| (772) e3 = e1
% 47.69/16.97  																																														|
% 47.69/16.97  																																														| Equations (772) can reduce 20 to:
% 47.69/16.97  																																														| (311) $false
% 47.69/16.97  																																														|
% 47.69/16.97  																																														|-The branch is then unsatisfiable
% 47.69/16.97  																																													|-Branch two:
% 47.69/16.97  																																													| (602)  ~ (all_0_93_93 = e3)
% 47.69/16.97  																																													| (969) all_0_98_98 = e3
% 47.69/16.97  																																													|
% 47.69/16.97  																																														| Equations (969) can reduce 321 to:
% 47.69/16.97  																																														| (783)  ~ (e4 = e3)
% 47.69/16.97  																																														|
% 47.69/16.97  																																														| Simplifying 783 yields:
% 47.69/16.97  																																														| (177)  ~ (e4 = e3)
% 47.69/16.97  																																														|
% 47.69/16.97  																																														| Equations (969) can reduce 2059 to:
% 47.69/16.97  																																														| (50)  ~ (e3 = e0)
% 47.69/16.97  																																														|
% 47.69/16.97  																																														+-Applying beta-rule and splitting (1594), into two cases.
% 47.69/16.97  																																														|-Branch one:
% 47.69/16.97  																																														| (1265) all_0_84_84 = e3
% 47.69/16.97  																																														|
% 47.69/16.97  																																															| Combining equations (438,1265) yields a new equation:
% 47.69/16.97  																																															| (790) e4 = e3
% 47.69/16.97  																																															|
% 47.69/16.97  																																															| Simplifying 790 yields:
% 47.69/16.97  																																															| (434) e4 = e3
% 47.69/16.97  																																															|
% 47.69/16.97  																																															| Equations (434) can reduce 177 to:
% 47.69/16.97  																																															| (311) $false
% 47.69/16.97  																																															|
% 47.69/16.97  																																															|-The branch is then unsatisfiable
% 47.69/16.97  																																														|-Branch two:
% 47.69/16.97  																																														| (422)  ~ (all_0_84_84 = e3)
% 47.69/16.97  																																														| (804) all_0_85_85 = e3
% 47.69/16.97  																																														|
% 47.69/16.97  																																															| Combining equations (954,804) yields a new equation:
% 47.69/16.97  																																															| (600) e3 = e0
% 47.69/16.97  																																															|
% 47.69/16.97  																																															| Equations (600) can reduce 50 to:
% 47.69/16.97  																																															| (311) $false
% 47.69/16.97  																																															|
% 47.69/16.97  																																															|-The branch is then unsatisfiable
% 47.69/16.97  																																				|-Branch two:
% 47.69/16.97  																																				| (417)  ~ (all_0_84_84 = e4)
% 47.69/16.97  																																				| (493) all_0_85_85 = e4
% 47.69/16.97  																																				|
% 47.69/16.97  																																					| Combining equations (954,493) yields a new equation:
% 47.69/16.97  																																					| (912) e4 = e0
% 47.69/16.97  																																					|
% 47.69/16.97  																																					| Equations (912) can reduce 23 to:
% 47.69/16.97  																																					| (311) $false
% 47.69/16.97  																																					|
% 47.69/16.97  																																					|-The branch is then unsatisfiable
% 47.69/16.97  																																	|-Branch two:
% 47.69/16.97  																																	| (800)  ~ (all_0_85_85 = e0)
% 47.69/16.97  																																	| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																		+-Applying beta-rule and splitting (1077), into two cases.
% 47.69/16.97  																																		|-Branch one:
% 47.69/16.97  																																		| (507) all_0_88_88 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																			| Combining equations (370,507) yields a new equation:
% 47.69/16.97  																																			| (923) e2 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																			| Simplifying 923 yields:
% 47.69/16.97  																																			| (379) e2 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																			| Equations (379) can reduce 76 to:
% 47.69/16.97  																																			| (311) $false
% 47.69/16.97  																																			|
% 47.69/16.97  																																			|-The branch is then unsatisfiable
% 47.69/16.97  																																		|-Branch two:
% 47.69/16.97  																																		| (1110)  ~ (all_0_88_88 = e0)
% 47.69/16.97  																																		| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																			+-Applying beta-rule and splitting (1111), into two cases.
% 47.69/16.97  																																			|-Branch one:
% 47.69/16.97  																																			| (604) all_0_93_93 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																				| Combining equations (566,604) yields a new equation:
% 47.69/16.97  																																				| (1107) e1 = e0
% 47.69/16.97  																																				|
% 47.69/16.97  																																				| Simplifying 1107 yields:
% 47.69/16.97  																																				| (865) e1 = e0
% 47.69/16.97  																																				|
% 47.69/16.97  																																				| Equations (865) can reduce 264 to:
% 47.69/16.97  																																				| (311) $false
% 47.69/16.97  																																				|
% 47.69/16.97  																																				|-The branch is then unsatisfiable
% 47.69/16.97  																																			|-Branch two:
% 47.69/16.97  																																			| (509)  ~ (all_0_93_93 = e0)
% 47.69/16.97  																																			| (1121) all_0_98_98 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																				| Equations (1121) can reduce 2059 to:
% 47.69/16.97  																																				| (311) $false
% 47.69/16.97  																																				|
% 47.69/16.97  																																				|-The branch is then unsatisfiable
% 47.69/16.97  																															|-Branch two:
% 47.69/16.97  																															| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.97  																															| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.97  																															|
% 47.69/16.97  																																+-Applying beta-rule and splitting (1455), into two cases.
% 47.69/16.97  																																|-Branch one:
% 47.69/16.97  																																| (1456) all_0_91_91 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																	| Combining equations (588,1456) yields a new equation:
% 47.69/16.97  																																	| (599) e3 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Simplifying 599 yields:
% 47.69/16.97  																																	| (600) e3 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Equations (600) can reduce 50 to:
% 47.69/16.97  																																	| (311) $false
% 47.69/16.97  																																	|
% 47.69/16.97  																																	|-The branch is then unsatisfiable
% 47.69/16.97  																																|-Branch two:
% 47.69/16.97  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.69/16.97  																																| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																	+-Applying beta-rule and splitting (1488), into two cases.
% 47.69/16.97  																																	|-Branch one:
% 47.69/16.97  																																	| (942) all_0_92_92 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																		| Combining equations (1343,942) yields a new equation:
% 47.69/16.97  																																		| (923) e2 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Simplifying 923 yields:
% 47.69/16.97  																																		| (379) e2 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Equations (379) can reduce 76 to:
% 47.69/16.97  																																		| (311) $false
% 47.69/16.97  																																		|
% 47.69/16.97  																																		|-The branch is then unsatisfiable
% 47.69/16.97  																																	|-Branch two:
% 47.69/16.97  																																	| (946)  ~ (all_0_92_92 = e0)
% 47.69/16.97  																																	| (604) all_0_93_93 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																		| Combining equations (566,604) yields a new equation:
% 47.69/16.97  																																		| (1107) e1 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Simplifying 1107 yields:
% 47.69/16.97  																																		| (865) e1 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Equations (865) can reduce 264 to:
% 47.69/16.97  																																		| (311) $false
% 47.69/16.97  																																		|
% 47.69/16.97  																																		|-The branch is then unsatisfiable
% 47.69/16.97  																														|-Branch two:
% 47.69/16.97  																														| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.97  																														| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.97  																														|
% 47.69/16.97  																															+-Applying beta-rule and splitting (881), into two cases.
% 47.69/16.97  																															|-Branch one:
% 47.69/16.97  																															| (882) all_0_92_92 = e3
% 47.69/16.97  																															|
% 47.69/16.97  																																| Combining equations (1343,882) yields a new equation:
% 47.69/16.97  																																| (548) e3 = e2
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (548) can reduce 169 to:
% 47.69/16.97  																																| (311) $false
% 47.69/16.97  																																|
% 47.69/16.97  																																|-The branch is then unsatisfiable
% 47.69/16.97  																															|-Branch two:
% 47.69/16.97  																															| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.97  																															| (570) all_0_93_93 = e3
% 47.69/16.97  																															|
% 47.69/16.97  																																| Combining equations (566,570) yields a new equation:
% 47.69/16.97  																																| (772) e3 = e1
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (772) can reduce 20 to:
% 47.69/16.97  																																| (311) $false
% 47.69/16.97  																																|
% 47.69/16.97  																																|-The branch is then unsatisfiable
% 47.69/16.97  																											|-Branch two:
% 47.69/16.97  																											| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.69/16.97  																											|
% 47.69/16.97  																												| Applying alpha-rule on (4957) yields:
% 47.69/16.97  																												| (4958) all_0_58_58 = e0
% 47.69/16.97  																												| (4959)  ~ (all_0_59_59 = e2)
% 47.69/16.97  																												|
% 47.69/16.97  																												| From (4958) and (212) follows:
% 47.69/16.97  																												| (4960) op(e2, all_0_96_96) = e0
% 47.69/16.97  																												|
% 47.69/16.97  																												+-Applying beta-rule and splitting (282), into two cases.
% 47.69/16.97  																												|-Branch one:
% 47.69/16.97  																												| (754) all_0_90_90 = e3
% 47.69/16.97  																												|
% 47.69/16.97  																													| Equations (754) can reduce 103 to:
% 47.69/16.97  																													| (1298)  ~ (all_0_91_91 = e3)
% 47.69/16.97  																													|
% 47.69/16.97  																													| Simplifying 1298 yields:
% 47.69/16.97  																													| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.97  																													|
% 47.69/16.97  																													| Equations (754) can reduce 294 to:
% 47.69/16.97  																													| (169)  ~ (e3 = e2)
% 47.69/16.97  																													|
% 47.69/16.97  																													| Equations (754) can reduce 678 to:
% 47.69/16.97  																													| (20)  ~ (e3 = e1)
% 47.69/16.97  																													|
% 47.69/16.97  																													+-Applying beta-rule and splitting (284), into two cases.
% 47.69/16.97  																													|-Branch one:
% 47.69/16.97  																													| (1723) all_0_91_91 = e2
% 47.69/16.97  																													|
% 47.69/16.97  																														| Equations (1723) can reduce 296 to:
% 47.69/16.97  																														| (311) $false
% 47.69/16.97  																														|
% 47.69/16.97  																														|-The branch is then unsatisfiable
% 47.69/16.97  																													|-Branch two:
% 47.69/16.97  																													| (296)  ~ (all_0_91_91 = e2)
% 47.69/16.97  																													| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.69/16.97  																													|
% 47.69/16.97  																														+-Applying beta-rule and splitting (1726), into two cases.
% 47.69/16.97  																														|-Branch one:
% 47.69/16.97  																														| (801) all_0_91_91 = e1
% 47.69/16.97  																														|
% 47.69/16.97  																															| Equations (801) can reduce 959 to:
% 47.69/16.97  																															| (311) $false
% 47.69/16.97  																															|
% 47.69/16.97  																															|-The branch is then unsatisfiable
% 47.69/16.97  																														|-Branch two:
% 47.69/16.97  																														| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.97  																														| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.69/16.97  																														|
% 47.69/16.97  																															+-Applying beta-rule and splitting (1880), into two cases.
% 47.69/16.97  																															|-Branch one:
% 47.69/16.97  																															| (588) all_0_91_91 = e3
% 47.69/16.97  																															|
% 47.69/16.97  																																| Equations (588) can reduce 571 to:
% 47.69/16.97  																																| (311) $false
% 47.69/16.97  																																|
% 47.69/16.97  																																|-The branch is then unsatisfiable
% 47.69/16.97  																															|-Branch two:
% 47.69/16.97  																															| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.97  																															| (1456) all_0_91_91 = e0
% 47.69/16.97  																															|
% 47.69/16.97  																																| Equations (1456) can reduce 571 to:
% 47.69/16.97  																																| (906)  ~ (e3 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 906 yields:
% 47.69/16.97  																																| (50)  ~ (e3 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (1456) can reduce 959 to:
% 47.69/16.97  																																| (859)  ~ (e1 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 859 yields:
% 47.69/16.97  																																| (264)  ~ (e1 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																+-Applying beta-rule and splitting (285), into two cases.
% 47.69/16.97  																																|-Branch one:
% 47.69/16.97  																																| (1708) all_0_79_79 = e3
% 47.69/16.97  																																|
% 47.69/16.97  																																	| Combining equations (457,1708) yields a new equation:
% 47.69/16.97  																																	| (772) e3 = e1
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Equations (772) can reduce 20 to:
% 47.69/16.97  																																	| (311) $false
% 47.69/16.97  																																	|
% 47.69/16.97  																																	|-The branch is then unsatisfiable
% 47.69/16.97  																																|-Branch two:
% 47.69/16.97  																																| (1711)  ~ (all_0_79_79 = e3)
% 47.69/16.97  																																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 47.69/16.97  																																|
% 47.69/16.97  																																	+-Applying beta-rule and splitting (1712), into two cases.
% 47.69/16.97  																																	|-Branch one:
% 47.69/16.97  																																	| (795) all_0_83_83 = e3
% 47.69/16.97  																																	|
% 47.69/16.97  																																		| Combining equations (453,795) yields a new equation:
% 47.69/16.97  																																		| (548) e3 = e2
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Equations (548) can reduce 169 to:
% 47.69/16.97  																																		| (311) $false
% 47.69/16.97  																																		|
% 47.69/16.97  																																		|-The branch is then unsatisfiable
% 47.69/16.97  																																	|-Branch two:
% 47.69/16.97  																																	| (779)  ~ (all_0_83_83 = e3)
% 47.69/16.97  																																	| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 47.69/16.97  																																	|
% 47.69/16.97  																																		+-Applying beta-rule and splitting (1842), into two cases.
% 47.69/16.97  																																		|-Branch one:
% 47.69/16.97  																																		| (588) all_0_91_91 = e3
% 47.69/16.97  																																		|
% 47.69/16.97  																																			| Combining equations (1456,588) yields a new equation:
% 47.69/16.97  																																			| (600) e3 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																			| Equations (600) can reduce 50 to:
% 47.69/16.97  																																			| (311) $false
% 47.69/16.97  																																			|
% 47.69/16.97  																																			|-The branch is then unsatisfiable
% 47.69/16.97  																																		|-Branch two:
% 47.69/16.97  																																		| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.97  																																		| (778) all_0_96_96 = e3
% 47.69/16.97  																																		|
% 47.69/16.97  																																			| From (778) and (4960) follows:
% 47.69/16.97  																																			| (5343) op(e2, e3) = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																			| Instantiating formula (262) with e2, e3, e0, e1 and discharging atoms op(e2, e3) = e1, op(e2, e3) = e0, yields:
% 47.69/16.97  																																			| (865) e1 = e0
% 47.69/16.97  																																			|
% 47.69/16.97  																																			| Equations (865) can reduce 264 to:
% 47.69/16.97  																																			| (311) $false
% 47.69/16.97  																																			|
% 47.69/16.97  																																			|-The branch is then unsatisfiable
% 47.69/16.97  																												|-Branch two:
% 47.69/16.97  																												| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.97  																												| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.97  																												|
% 47.69/16.97  																													+-Applying beta-rule and splitting (849), into two cases.
% 47.69/16.97  																													|-Branch one:
% 47.69/16.97  																													| (588) all_0_91_91 = e3
% 47.69/16.97  																													|
% 47.69/16.97  																														| Equations (588) can reduce 103 to:
% 47.69/16.97  																														| (745)  ~ (all_0_90_90 = e3)
% 47.69/16.97  																														|
% 47.69/16.97  																														+-Applying beta-rule and splitting (291), into two cases.
% 47.69/16.97  																														|-Branch one:
% 47.69/16.97  																														| (758) all_0_90_90 = e0
% 47.69/16.97  																														|
% 47.69/16.97  																															| Equations (758) can reduce 745 to:
% 47.69/16.97  																															| (906)  ~ (e3 = e0)
% 47.69/16.97  																															|
% 47.69/16.97  																															| Simplifying 906 yields:
% 47.69/16.97  																															| (50)  ~ (e3 = e0)
% 47.69/16.97  																															|
% 47.69/16.97  																															+-Applying beta-rule and splitting (1400), into two cases.
% 47.69/16.97  																															|-Branch one:
% 47.69/16.97  																															| (1456) all_0_91_91 = e0
% 47.69/16.97  																															|
% 47.69/16.97  																																| Combining equations (588,1456) yields a new equation:
% 47.69/16.97  																																| (599) e3 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 599 yields:
% 47.69/16.97  																																| (600) e3 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (600) can reduce 50 to:
% 47.69/16.97  																																| (311) $false
% 47.69/16.97  																																|
% 47.69/16.97  																																|-The branch is then unsatisfiable
% 47.69/16.97  																															|-Branch two:
% 47.69/16.97  																															| (1487)  ~ (all_0_91_91 = e0)
% 47.69/16.97  																															| (1837) all_0_96_96 = e0
% 47.69/16.97  																															|
% 47.69/16.97  																																| Equations (1837) can reduce 43 to:
% 47.69/16.97  																																| (2058)  ~ (all_0_98_98 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 2058 yields:
% 47.69/16.97  																																| (2059)  ~ (all_0_98_98 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (1837) can reduce 1638 to:
% 47.69/16.97  																																| (510)  ~ (e2 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 510 yields:
% 47.69/16.97  																																| (76)  ~ (e2 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Equations (1837) can reduce 1479 to:
% 47.69/16.97  																																| (859)  ~ (e1 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| Simplifying 859 yields:
% 47.69/16.97  																																| (264)  ~ (e1 = e0)
% 47.69/16.97  																																|
% 47.69/16.97  																																| From (1837) and (4960) follows:
% 47.69/16.97  																																| (2170) op(e2, e0) = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																+-Applying beta-rule and splitting (289), into two cases.
% 47.69/16.97  																																|-Branch one:
% 47.69/16.97  																																| (954) all_0_85_85 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																	| Equations (954) can reduce 515 to:
% 47.69/16.97  																																	| (510)  ~ (e2 = e0)
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Simplifying 510 yields:
% 47.69/16.97  																																	| (76)  ~ (e2 = e0)
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 47.69/16.97  																																	| (379) e2 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																	| Equations (379) can reduce 76 to:
% 47.69/16.97  																																	| (311) $false
% 47.69/16.97  																																	|
% 47.69/16.97  																																	|-The branch is then unsatisfiable
% 47.69/16.97  																																|-Branch two:
% 47.69/16.97  																																| (800)  ~ (all_0_85_85 = e0)
% 47.69/16.97  																																| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.97  																																|
% 47.69/16.97  																																	+-Applying beta-rule and splitting (1077), into two cases.
% 47.69/16.97  																																	|-Branch one:
% 47.69/16.97  																																	| (507) all_0_88_88 = e0
% 47.69/16.97  																																	|
% 47.69/16.97  																																		| Combining equations (370,507) yields a new equation:
% 47.69/16.97  																																		| (923) e2 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Simplifying 923 yields:
% 47.69/16.97  																																		| (379) e2 = e0
% 47.69/16.97  																																		|
% 47.69/16.97  																																		| Equations (379) can reduce 76 to:
% 47.69/16.97  																																		| (311) $false
% 47.69/16.97  																																		|
% 47.69/16.97  																																		|-The branch is then unsatisfiable
% 47.69/16.97  																																	|-Branch two:
% 47.69/16.97  																																	| (1110)  ~ (all_0_88_88 = e0)
% 47.69/16.97  																																	| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.69/16.97  																																	|
% 47.69/16.98  																																		+-Applying beta-rule and splitting (1111), into two cases.
% 47.69/16.98  																																		|-Branch one:
% 47.69/16.98  																																		| (604) all_0_93_93 = e0
% 47.69/16.98  																																		|
% 47.69/16.98  																																			| Combining equations (566,604) yields a new equation:
% 47.69/16.98  																																			| (1107) e1 = e0
% 47.69/16.98  																																			|
% 47.69/16.98  																																			| Simplifying 1107 yields:
% 47.69/16.98  																																			| (865) e1 = e0
% 47.69/16.98  																																			|
% 47.69/16.98  																																			| Equations (865) can reduce 264 to:
% 47.69/16.98  																																			| (311) $false
% 47.69/16.98  																																			|
% 47.69/16.98  																																			|-The branch is then unsatisfiable
% 47.69/16.98  																																		|-Branch two:
% 47.69/16.98  																																		| (509)  ~ (all_0_93_93 = e0)
% 47.69/16.98  																																		| (1121) all_0_98_98 = e0
% 47.69/16.98  																																		|
% 47.69/16.98  																																			| Equations (1121) can reduce 2059 to:
% 47.69/16.98  																																			| (311) $false
% 47.69/16.98  																																			|
% 47.69/16.98  																																			|-The branch is then unsatisfiable
% 47.69/16.98  																														|-Branch two:
% 47.69/16.98  																														| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.98  																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.98  																														|
% 47.69/16.98  																															+-Applying beta-rule and splitting (1455), into two cases.
% 47.69/16.98  																															|-Branch one:
% 47.69/16.98  																															| (1456) all_0_91_91 = e0
% 47.69/16.98  																															|
% 47.69/16.98  																																| Combining equations (588,1456) yields a new equation:
% 47.69/16.98  																																| (599) e3 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																| Simplifying 599 yields:
% 47.69/16.98  																																| (600) e3 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																| Equations (600) can reduce 50 to:
% 47.69/16.98  																																| (311) $false
% 47.69/16.98  																																|
% 47.69/16.98  																																|-The branch is then unsatisfiable
% 47.69/16.98  																															|-Branch two:
% 47.69/16.98  																															| (1487)  ~ (all_0_91_91 = e0)
% 47.69/16.98  																															| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.98  																															|
% 47.69/16.98  																																+-Applying beta-rule and splitting (1488), into two cases.
% 47.69/16.98  																																|-Branch one:
% 47.69/16.98  																																| (942) all_0_92_92 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																	| Combining equations (1343,942) yields a new equation:
% 47.69/16.98  																																	| (923) e2 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																	| Simplifying 923 yields:
% 47.69/16.98  																																	| (379) e2 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																	| Equations (379) can reduce 76 to:
% 47.69/16.98  																																	| (311) $false
% 47.69/16.98  																																	|
% 47.69/16.98  																																	|-The branch is then unsatisfiable
% 47.69/16.98  																																|-Branch two:
% 47.69/16.98  																																| (946)  ~ (all_0_92_92 = e0)
% 47.69/16.98  																																| (604) all_0_93_93 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																	| Combining equations (566,604) yields a new equation:
% 47.69/16.98  																																	| (1107) e1 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																	| Simplifying 1107 yields:
% 47.69/16.98  																																	| (865) e1 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																	| Equations (865) can reduce 264 to:
% 47.69/16.98  																																	| (311) $false
% 47.69/16.98  																																	|
% 47.69/16.98  																																	|-The branch is then unsatisfiable
% 47.69/16.98  																													|-Branch two:
% 47.69/16.98  																													| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.98  																													| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.69/16.98  																													|
% 47.69/16.98  																														+-Applying beta-rule and splitting (881), into two cases.
% 47.69/16.98  																														|-Branch one:
% 47.69/16.98  																														| (882) all_0_92_92 = e3
% 47.69/16.98  																														|
% 47.69/16.98  																															| Combining equations (1343,882) yields a new equation:
% 47.69/16.98  																															| (548) e3 = e2
% 47.69/16.98  																															|
% 47.69/16.98  																															| Equations (548) can reduce 169 to:
% 47.69/16.98  																															| (311) $false
% 47.69/16.98  																															|
% 47.69/16.98  																															|-The branch is then unsatisfiable
% 47.69/16.98  																														|-Branch two:
% 47.69/16.98  																														| (426)  ~ (all_0_92_92 = e3)
% 47.69/16.98  																														| (570) all_0_93_93 = e3
% 47.69/16.98  																														|
% 47.69/16.98  																															| Combining equations (566,570) yields a new equation:
% 47.69/16.98  																															| (772) e3 = e1
% 47.69/16.98  																															|
% 47.69/16.98  																															| Equations (772) can reduce 20 to:
% 47.69/16.98  																															| (311) $false
% 47.69/16.98  																															|
% 47.69/16.98  																															|-The branch is then unsatisfiable
% 47.69/16.98  																				|-Branch two:
% 47.69/16.98  																				| (461)  ~ (all_0_79_79 = e1)
% 47.69/16.98  																				| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.69/16.98  																				|
% 47.69/16.98  																					+-Applying beta-rule and splitting (1623), into two cases.
% 47.69/16.98  																					|-Branch one:
% 47.69/16.98  																					| (457) all_0_79_79 = e1
% 47.69/16.98  																					|
% 47.69/16.98  																						| Equations (457) can reduce 461 to:
% 47.69/16.98  																						| (311) $false
% 47.69/16.98  																						|
% 47.69/16.98  																						|-The branch is then unsatisfiable
% 47.69/16.98  																					|-Branch two:
% 47.69/16.98  																					| (461)  ~ (all_0_79_79 = e1)
% 47.69/16.98  																					| (1708) all_0_79_79 = e3
% 47.69/16.98  																					|
% 47.69/16.98  																						| Equations (1708) can reduce 15 to:
% 47.69/16.98  																						| (419)  ~ (all_0_81_81 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Simplifying 419 yields:
% 47.69/16.98  																						| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Equations (1708) can reduce 17 to:
% 47.69/16.98  																						| (1298)  ~ (all_0_91_91 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Simplifying 1298 yields:
% 47.69/16.98  																						| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Equations (1708) can reduce 235 to:
% 47.69/16.98  																						| (783)  ~ (e4 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Simplifying 783 yields:
% 47.69/16.98  																						| (177)  ~ (e4 = e3)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Equations (1708) can reduce 1622 to:
% 47.69/16.98  																						| (169)  ~ (e3 = e2)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Equations (1708) can reduce 461 to:
% 47.69/16.98  																						| (20)  ~ (e3 = e1)
% 47.69/16.98  																						|
% 47.69/16.98  																						| Equations (1708) can reduce 9 to:
% 47.69/16.98  																						| (50)  ~ (e3 = e0)
% 47.69/16.98  																						|
% 47.69/16.98  																						| From (1708) and (184) follows:
% 47.69/16.98  																						| (11003) op(e2, e3) = all_0_52_52
% 47.69/16.98  																						|
% 47.69/16.98  																						| Instantiating formula (262) with e2, e3, all_0_52_52, e1 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e1, yields:
% 47.69/16.98  																						| (15841) all_0_52_52 = e1
% 47.69/16.98  																						|
% 47.69/16.98  																						+-Applying beta-rule and splitting (33), into two cases.
% 47.69/16.98  																						|-Branch one:
% 47.69/16.98  																						| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.69/16.98  																						|
% 47.69/16.98  																							+-Applying beta-rule and splitting (1686), into two cases.
% 47.69/16.98  																							|-Branch one:
% 47.69/16.98  																							| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.69/16.98  																							|
% 47.69/16.98  																								+-Applying beta-rule and splitting (1687), into two cases.
% 47.69/16.98  																								|-Branch one:
% 47.69/16.98  																								| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.69/16.98  																								|
% 47.69/16.98  																									| Applying alpha-rule on (1688) yields:
% 47.69/16.98  																									| (1689) all_0_52_52 = e4
% 47.69/16.98  																									| (1690)  ~ (all_0_53_53 = e2)
% 47.69/16.98  																									|
% 47.69/16.98  																									| Combining equations (1689,15841) yields a new equation:
% 47.69/16.98  																									| (813) e4 = e1
% 47.69/16.98  																									|
% 47.69/16.98  																									| Simplifying 813 yields:
% 47.69/16.98  																									| (814) e4 = e1
% 47.69/16.98  																									|
% 47.69/16.98  																									| Equations (814) can reduce 256 to:
% 47.69/16.98  																									| (311) $false
% 47.69/16.98  																									|
% 47.69/16.98  																									|-The branch is then unsatisfiable
% 47.69/16.98  																								|-Branch two:
% 47.69/16.98  																								| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.69/16.98  																								|
% 47.69/16.98  																									| Applying alpha-rule on (1694) yields:
% 47.69/16.98  																									| (1695) all_0_54_54 = e3
% 47.69/16.98  																									| (1696)  ~ (all_0_55_55 = e2)
% 47.69/16.98  																									|
% 47.69/16.98  																									| Combining equations (1647,1695) yields a new equation:
% 47.69/16.98  																									| (790) e4 = e3
% 47.69/16.98  																									|
% 47.69/16.98  																									| Simplifying 790 yields:
% 47.69/16.98  																									| (434) e4 = e3
% 47.69/16.98  																									|
% 47.69/16.98  																									| Equations (434) can reduce 177 to:
% 47.69/16.98  																									| (311) $false
% 47.69/16.98  																									|
% 47.69/16.98  																									|-The branch is then unsatisfiable
% 47.69/16.98  																							|-Branch two:
% 47.69/16.98  																							| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.69/16.98  																							|
% 47.69/16.98  																								| Applying alpha-rule on (1700) yields:
% 47.69/16.98  																								| (1701) all_0_56_56 = e1
% 47.69/16.98  																								| (1702)  ~ (all_0_57_57 = e2)
% 47.69/16.98  																								|
% 47.69/16.98  																								| From (1701) and (222) follows:
% 47.69/16.98  																								| (1703) op(e2, all_0_91_91) = e1
% 47.69/16.98  																								|
% 47.69/16.98  																								+-Applying beta-rule and splitting (129), into two cases.
% 47.69/16.98  																								|-Branch one:
% 47.69/16.98  																								| (676) all_0_78_78 = e1
% 47.69/16.98  																								|
% 47.69/16.98  																									| Combining equations (676,400) yields a new equation:
% 47.69/16.98  																									| (385) e2 = e1
% 47.69/16.98  																									|
% 47.69/16.98  																									| Equations (385) can reduce 243 to:
% 47.69/16.98  																									| (311) $false
% 47.69/16.98  																									|
% 47.69/16.98  																									|-The branch is then unsatisfiable
% 47.69/16.98  																								|-Branch two:
% 47.69/16.98  																								| (1601)  ~ (all_0_78_78 = e1)
% 47.69/16.98  																								| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.69/16.98  																								|
% 47.69/16.98  																									| Equations (400) can reduce 1601 to:
% 47.69/16.98  																									| (243)  ~ (e2 = e1)
% 47.69/16.98  																									|
% 47.69/16.98  																									+-Applying beta-rule and splitting (45), into two cases.
% 47.69/16.98  																									|-Branch one:
% 47.69/16.98  																									| (546) all_0_80_80 = e2
% 47.69/16.98  																									|
% 47.69/16.98  																										| Equations (546) can reduce 394 to:
% 47.69/16.98  																										| (311) $false
% 47.69/16.98  																										|
% 47.69/16.98  																										|-The branch is then unsatisfiable
% 47.69/16.98  																									|-Branch two:
% 47.69/16.98  																									| (394)  ~ (all_0_80_80 = e2)
% 47.69/16.98  																									| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.69/16.98  																									|
% 47.69/16.98  																										+-Applying beta-rule and splitting (123), into two cases.
% 47.69/16.98  																										|-Branch one:
% 47.69/16.98  																										| (473) all_0_81_81 = e2
% 47.69/16.98  																										|
% 47.69/16.98  																											| Equations (473) can reduce 396 to:
% 47.69/16.98  																											| (311) $false
% 47.69/16.98  																											|
% 47.69/16.98  																											|-The branch is then unsatisfiable
% 47.69/16.98  																										|-Branch two:
% 47.69/16.98  																										| (396)  ~ (all_0_81_81 = e2)
% 47.69/16.98  																										| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.69/16.98  																										|
% 47.69/16.98  																											+-Applying beta-rule and splitting (282), into two cases.
% 47.69/16.98  																											|-Branch one:
% 47.69/16.98  																											| (754) all_0_90_90 = e3
% 47.69/16.98  																											|
% 47.69/16.98  																												| Equations (754) can reduce 103 to:
% 47.69/16.98  																												| (1298)  ~ (all_0_91_91 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												| Simplifying 1298 yields:
% 47.69/16.98  																												| (571)  ~ (all_0_91_91 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												| Equations (754) can reduce 34 to:
% 47.69/16.98  																												| (807)  ~ (all_0_93_93 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												| Simplifying 807 yields:
% 47.69/16.98  																												| (602)  ~ (all_0_93_93 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												| Equations (754) can reduce 229 to:
% 47.69/16.98  																												| (1070)  ~ (all_0_95_95 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												| Simplifying 1070 yields:
% 47.69/16.98  																												| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.98  																												|
% 47.69/16.98  																												+-Applying beta-rule and splitting (250), into two cases.
% 47.69/16.98  																												|-Branch one:
% 47.69/16.98  																												| (635) all_0_81_81 = e3
% 47.69/16.98  																												|
% 47.69/16.98  																													| Equations (635) can reduce 420 to:
% 47.69/16.98  																													| (311) $false
% 47.69/16.98  																													|
% 47.69/16.98  																													|-The branch is then unsatisfiable
% 47.69/16.98  																												|-Branch two:
% 47.69/16.98  																												| (420)  ~ (all_0_81_81 = e3)
% 47.69/16.98  																												| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.69/16.98  																												|
% 47.69/16.98  																													+-Applying beta-rule and splitting (291), into two cases.
% 47.69/16.98  																													|-Branch one:
% 47.69/16.98  																													| (758) all_0_90_90 = e0
% 47.69/16.98  																													|
% 47.69/16.98  																														| Combining equations (754,758) yields a new equation:
% 47.69/16.98  																														| (599) e3 = e0
% 47.69/16.98  																														|
% 47.69/16.98  																														| Simplifying 599 yields:
% 47.69/16.98  																														| (600) e3 = e0
% 47.69/16.98  																														|
% 47.69/16.98  																														| Equations (600) can reduce 50 to:
% 47.69/16.98  																														| (311) $false
% 47.69/16.98  																														|
% 47.69/16.98  																														|-The branch is then unsatisfiable
% 47.69/16.98  																													|-Branch two:
% 47.69/16.98  																													| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.98  																													| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.69/16.98  																													|
% 47.69/16.98  																														| Equations (754) can reduce 762 to:
% 47.69/16.98  																														| (50)  ~ (e3 = e0)
% 47.69/16.98  																														|
% 47.69/16.98  																														+-Applying beta-rule and splitting (270), into two cases.
% 47.69/16.98  																														|-Branch one:
% 47.69/16.98  																														| (744) all_0_95_95 = e3
% 47.69/16.98  																														|
% 47.69/16.98  																															| Equations (744) can reduce 765 to:
% 47.69/16.98  																															| (311) $false
% 47.69/16.98  																															|
% 47.69/16.98  																															|-The branch is then unsatisfiable
% 47.69/16.98  																														|-Branch two:
% 47.69/16.98  																														| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.98  																														| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.69/16.98  																														|
% 47.69/16.98  																															+-Applying beta-rule and splitting (249), into two cases.
% 47.69/16.98  																															|-Branch one:
% 47.69/16.98  																															| (910) all_0_82_82 = e0
% 47.69/16.98  																															|
% 47.69/16.98  																																| Equations (910) can reduce 200 to:
% 47.69/16.98  																																| (2712)  ~ (all_0_95_95 = e0)
% 47.69/16.98  																																|
% 47.69/16.98  																																| Simplifying 2712 yields:
% 47.69/16.98  																																| (893)  ~ (all_0_95_95 = e0)
% 47.69/16.98  																																|
% 47.69/16.98  																																| Equations (910) can reduce 198 to:
% 47.69/16.98  																																| (859)  ~ (e1 = e0)
% 47.69/16.98  																																|
% 47.69/16.98  																																| Simplifying 859 yields:
% 47.69/16.98  																																| (264)  ~ (e1 = e0)
% 47.69/16.98  																																|
% 47.69/16.98  																																+-Applying beta-rule and splitting (99), into two cases.
% 47.69/16.98  																																|-Branch one:
% 47.69/16.98  																																| (767) all_0_95_95 = e2
% 47.69/16.98  																																|
% 47.69/16.98  																																	| Equations (767) can reduce 355 to:
% 47.69/16.98  																																	| (311) $false
% 47.69/16.98  																																	|
% 47.69/16.98  																																	|-The branch is then unsatisfiable
% 47.69/16.98  																																|-Branch two:
% 47.69/16.98  																																| (355)  ~ (all_0_95_95 = e2)
% 47.69/16.98  																																| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																	+-Applying beta-rule and splitting (770), into two cases.
% 47.69/16.98  																																	|-Branch one:
% 47.69/16.98  																																	| (785) all_0_95_95 = e1
% 47.69/16.98  																																	|
% 47.69/16.98  																																		| Equations (785) can reduce 680 to:
% 47.69/16.98  																																		| (311) $false
% 47.69/16.98  																																		|
% 47.69/16.98  																																		|-The branch is then unsatisfiable
% 47.69/16.98  																																	|-Branch two:
% 47.69/16.98  																																	| (680)  ~ (all_0_95_95 = e1)
% 47.69/16.98  																																	| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																		+-Applying beta-rule and splitting (853), into two cases.
% 47.69/16.98  																																		|-Branch one:
% 47.69/16.98  																																		| (744) all_0_95_95 = e3
% 47.69/16.98  																																		|
% 47.69/16.98  																																			| Equations (744) can reduce 765 to:
% 47.69/16.98  																																			| (311) $false
% 47.69/16.98  																																			|
% 47.69/16.98  																																			|-The branch is then unsatisfiable
% 47.69/16.98  																																		|-Branch two:
% 47.69/16.98  																																		| (765)  ~ (all_0_95_95 = e3)
% 47.69/16.98  																																		| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.69/16.98  																																		|
% 47.69/16.98  																																			+-Applying beta-rule and splitting (857), into two cases.
% 47.69/16.98  																																			|-Branch one:
% 47.69/16.98  																																			| (858) all_0_95_95 = e0
% 47.69/16.98  																																			|
% 47.69/16.98  																																				| Equations (858) can reduce 893 to:
% 47.69/16.98  																																				| (311) $false
% 47.69/16.98  																																				|
% 47.69/16.98  																																				|-The branch is then unsatisfiable
% 47.69/16.98  																																			|-Branch two:
% 47.69/16.98  																																			| (893)  ~ (all_0_95_95 = e0)
% 47.69/16.98  																																			| (894) all_0_95_95 = e4
% 47.69/16.98  																																			|
% 47.69/16.98  																																				| From (894) and (976) follows:
% 47.69/16.98  																																				| (35438) op(e3, e4) = e0
% 47.69/16.98  																																				|
% 47.69/16.98  																																				| Instantiating formula (262) with e3, e4, e0, e1 and discharging atoms op(e3, e4) = e1, op(e3, e4) = e0, yields:
% 47.69/16.98  																																				| (865) e1 = e0
% 47.69/16.98  																																				|
% 47.69/16.98  																																				| Equations (865) can reduce 264 to:
% 47.69/16.98  																																				| (311) $false
% 47.69/16.98  																																				|
% 47.69/16.98  																																				|-The branch is then unsatisfiable
% 47.69/16.98  																															|-Branch two:
% 47.69/16.98  																															| (914)  ~ (all_0_82_82 = e0)
% 47.69/16.98  																															| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.69/16.98  																															|
% 47.69/16.98  																																+-Applying beta-rule and splitting (254), into two cases.
% 47.69/16.98  																																|-Branch one:
% 47.69/16.98  																																| (910) all_0_82_82 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																	| Equations (910) can reduce 914 to:
% 47.69/16.98  																																	| (311) $false
% 47.69/16.98  																																	|
% 47.69/16.98  																																	|-The branch is then unsatisfiable
% 47.69/16.98  																																|-Branch two:
% 47.69/16.98  																																| (914)  ~ (all_0_82_82 = e0)
% 47.69/16.98  																																| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.69/16.98  																																|
% 47.69/16.98  																																	+-Applying beta-rule and splitting (915), into two cases.
% 47.69/16.98  																																	|-Branch one:
% 47.69/16.98  																																	| (378) all_0_86_86 = e0
% 47.69/16.98  																																	|
% 47.69/16.98  																																		| Combining equations (384,378) yields a new equation:
% 47.69/16.98  																																		| (1107) e1 = e0
% 47.69/16.98  																																		|
% 47.69/16.98  																																		| Simplifying 1107 yields:
% 47.69/16.98  																																		| (865) e1 = e0
% 47.69/16.98  																																		|
% 47.69/16.99  																																		| Equations (865) can reduce 264 to:
% 47.69/16.99  																																		| (311) $false
% 47.69/16.99  																																		|
% 47.69/16.99  																																		|-The branch is then unsatisfiable
% 47.69/16.99  																																	|-Branch two:
% 47.69/16.99  																																	| (381)  ~ (all_0_86_86 = e0)
% 47.69/16.99  																																	| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.69/16.99  																																	|
% 47.69/16.99  																																		+-Applying beta-rule and splitting (1309), into two cases.
% 47.69/16.99  																																		|-Branch one:
% 47.69/16.99  																																		| (798) all_0_83_83 = e0
% 47.69/16.99  																																		|
% 47.69/16.99  																																			| Combining equations (453,798) yields a new equation:
% 47.69/16.99  																																			| (923) e2 = e0
% 47.69/16.99  																																			|
% 47.69/16.99  																																			| Simplifying 923 yields:
% 47.69/16.99  																																			| (379) e2 = e0
% 47.69/16.99  																																			|
% 47.69/16.99  																																			| Equations (379) can reduce 76 to:
% 47.69/16.99  																																			| (311) $false
% 47.69/16.99  																																			|
% 47.69/16.99  																																			|-The branch is then unsatisfiable
% 47.69/16.99  																																		|-Branch two:
% 47.69/16.99  																																		| (1314)  ~ (all_0_83_83 = e0)
% 47.69/16.99  																																		| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.69/16.99  																																		|
% 47.69/16.99  																																			+-Applying beta-rule and splitting (927), into two cases.
% 47.69/16.99  																																			|-Branch one:
% 47.69/16.99  																																			| (758) all_0_90_90 = e0
% 47.69/16.99  																																			|
% 47.69/16.99  																																				| Combining equations (754,758) yields a new equation:
% 47.69/16.99  																																				| (599) e3 = e0
% 47.69/16.99  																																				|
% 47.69/16.99  																																				| Simplifying 599 yields:
% 47.69/16.99  																																				| (600) e3 = e0
% 47.69/16.99  																																				|
% 47.69/16.99  																																				| Equations (600) can reduce 50 to:
% 47.69/16.99  																																				| (311) $false
% 47.69/16.99  																																				|
% 47.69/16.99  																																				|-The branch is then unsatisfiable
% 47.69/16.99  																																			|-Branch two:
% 47.69/16.99  																																			| (762)  ~ (all_0_90_90 = e0)
% 47.69/16.99  																																			| (858) all_0_95_95 = e0
% 47.69/16.99  																																			|
% 47.69/16.99  																																				| Equations (858) can reduce 279 to:
% 47.69/16.99  																																				| (2296)  ~ (all_0_96_96 = e0)
% 47.69/16.99  																																				|
% 47.69/16.99  																																				| Simplifying 2296 yields:
% 47.69/16.99  																																				| (2095)  ~ (all_0_96_96 = e0)
% 47.69/16.99  																																				|
% 47.69/16.99  																																				+-Applying beta-rule and splitting (1400), into two cases.
% 47.69/16.99  																																				|-Branch one:
% 47.69/16.99  																																				| (1456) all_0_91_91 = e0
% 47.69/16.99  																																				|
% 47.69/16.99  																																					| Equations (1456) can reduce 571 to:
% 47.69/16.99  																																					| (906)  ~ (e3 = e0)
% 47.69/16.99  																																					|
% 47.69/16.99  																																					| Simplifying 906 yields:
% 47.69/16.99  																																					| (50)  ~ (e3 = e0)
% 47.69/16.99  																																					|
% 47.69/16.99  																																					| From (1456) and (1703) follows:
% 47.69/16.99  																																					| (2305) op(e2, e0) = e1
% 47.69/16.99  																																					|
% 47.69/16.99  																																					+-Applying beta-rule and splitting (289), into two cases.
% 47.69/16.99  																																					|-Branch one:
% 47.69/16.99  																																					| (954) all_0_85_85 = e0
% 47.69/16.99  																																					|
% 47.69/16.99  																																						| Equations (954) can reduce 201 to:
% 47.69/16.99  																																						| (508)  ~ (all_0_93_93 = e0)
% 47.69/16.99  																																						|
% 47.69/16.99  																																						| Simplifying 508 yields:
% 47.69/16.99  																																						| (509)  ~ (all_0_93_93 = e0)
% 47.69/16.99  																																						|
% 47.69/16.99  																																						| Equations (954) can reduce 128 to:
% 47.69/16.99  																																						| (859)  ~ (e1 = e0)
% 47.69/16.99  																																						|
% 47.69/16.99  																																						| Simplifying 859 yields:
% 47.69/16.99  																																						| (264)  ~ (e1 = e0)
% 47.69/16.99  																																						|
% 47.69/16.99  																																						+-Applying beta-rule and splitting (65), into two cases.
% 47.69/16.99  																																						|-Branch one:
% 47.69/16.99  																																						| (522) all_0_93_93 = e2
% 47.69/16.99  																																						|
% 47.69/16.99  																																							| Equations (522) can reduce 300 to:
% 47.69/16.99  																																							| (311) $false
% 47.69/16.99  																																							|
% 47.69/16.99  																																							|-The branch is then unsatisfiable
% 47.69/16.99  																																						|-Branch two:
% 47.69/16.99  																																						| (300)  ~ (all_0_93_93 = e2)
% 47.69/16.99  																																						| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 47.69/16.99  																																						|
% 47.69/16.99  																																							+-Applying beta-rule and splitting (462), into two cases.
% 47.69/16.99  																																							|-Branch one:
% 47.69/16.99  																																							| (801) all_0_91_91 = e1
% 47.69/16.99  																																							|
% 47.69/16.99  																																								| Combining equations (1456,801) yields a new equation:
% 47.69/16.99  																																								| (865) e1 = e0
% 47.69/16.99  																																								|
% 47.69/16.99  																																								| Equations (865) can reduce 264 to:
% 47.69/16.99  																																								| (311) $false
% 47.69/16.99  																																								|
% 47.69/16.99  																																								|-The branch is then unsatisfiable
% 47.69/16.99  																																							|-Branch two:
% 47.69/16.99  																																							| (959)  ~ (all_0_91_91 = e1)
% 47.69/16.99  																																							| (960) all_0_96_96 = e1
% 47.69/16.99  																																							|
% 47.69/16.99  																																								| Equations (960) can reduce 22 to:
% 47.69/16.99  																																								| (485)  ~ (all_0_97_97 = e1)
% 47.69/16.99  																																								|
% 47.69/16.99  																																								| Simplifying 485 yields:
% 47.69/16.99  																																								| (486)  ~ (all_0_97_97 = e1)
% 47.69/16.99  																																								|
% 47.69/16.99  																																								| Equations (960) can reduce 43 to:
% 47.69/16.99  																																								| (1803)  ~ (all_0_98_98 = e1)
% 47.69/16.99  																																								|
% 47.69/16.99  																																								| Simplifying 1803 yields:
% 47.69/16.99  																																								| (1804)  ~ (all_0_98_98 = e1)
% 47.69/16.99  																																								|
% 47.69/16.99  																																								+-Applying beta-rule and splitting (151), into two cases.
% 47.69/16.99  																																								|-Branch one:
% 47.69/16.99  																																								| (824) all_0_80_80 = e1
% 47.69/16.99  																																								|
% 47.69/16.99  																																									| Equations (824) can reduce 144 to:
% 47.69/16.99  																																									| (1667)  ~ (all_0_81_81 = e1)
% 47.69/16.99  																																									|
% 47.69/16.99  																																									| Simplifying 1667 yields:
% 47.69/16.99  																																									| (628)  ~ (all_0_81_81 = e1)
% 47.69/16.99  																																									|
% 47.69/16.99  																																									| Equations (824) can reduce 394 to:
% 47.69/16.99  																																									| (487)  ~ (e2 = e1)
% 47.69/16.99  																																									|
% 47.69/16.99  																																									| Simplifying 487 yields:
% 47.69/16.99  																																									| (243)  ~ (e2 = e1)
% 47.69/16.99  																																									|
% 47.77/16.99  																																									+-Applying beta-rule and splitting (4488), into two cases.
% 47.77/16.99  																																									|-Branch one:
% 47.77/16.99  																																									| (804) all_0_85_85 = e3
% 47.77/16.99  																																									|
% 47.77/16.99  																																										| Combining equations (954,804) yields a new equation:
% 47.77/16.99  																																										| (600) e3 = e0
% 47.77/16.99  																																										|
% 47.77/16.99  																																										| Equations (600) can reduce 50 to:
% 47.77/16.99  																																										| (311) $false
% 47.77/16.99  																																										|
% 47.77/16.99  																																										|-The branch is then unsatisfiable
% 47.77/16.99  																																									|-Branch two:
% 47.77/16.99  																																									| (952)  ~ (all_0_85_85 = e3)
% 47.77/16.99  																																									| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.77/16.99  																																									|
% 47.77/16.99  																																										+-Applying beta-rule and splitting (4559), into two cases.
% 47.77/16.99  																																										|-Branch one:
% 47.77/16.99  																																										| (570) all_0_93_93 = e3
% 47.77/16.99  																																										|
% 47.77/16.99  																																											| Equations (570) can reduce 602 to:
% 47.77/16.99  																																											| (311) $false
% 47.77/16.99  																																											|
% 47.77/16.99  																																											|-The branch is then unsatisfiable
% 47.77/16.99  																																										|-Branch two:
% 47.77/16.99  																																										| (602)  ~ (all_0_93_93 = e3)
% 47.77/16.99  																																										| (969) all_0_98_98 = e3
% 47.77/16.99  																																										|
% 47.77/16.99  																																											| Equations (969) can reduce 5 to:
% 47.77/16.99  																																											| (420)  ~ (all_0_81_81 = e3)
% 47.77/16.99  																																											|
% 47.77/16.99  																																											| Equations (969) can reduce 1804 to:
% 47.77/16.99  																																											| (20)  ~ (e3 = e1)
% 47.77/16.99  																																											|
% 47.77/16.99  																																											+-Applying beta-rule and splitting (476), into two cases.
% 47.77/16.99  																																											|-Branch one:
% 47.77/16.99  																																											| (477) all_0_81_81 = e1
% 47.77/16.99  																																											|
% 47.77/16.99  																																												| Equations (477) can reduce 628 to:
% 47.77/16.99  																																												| (311) $false
% 47.77/16.99  																																												|
% 47.77/16.99  																																												|-The branch is then unsatisfiable
% 47.77/16.99  																																											|-Branch two:
% 47.77/16.99  																																											| (628)  ~ (all_0_81_81 = e1)
% 47.77/16.99  																																											| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.77/16.99  																																											|
% 47.77/16.99  																																												+-Applying beta-rule and splitting (629), into two cases.
% 47.77/16.99  																																												|-Branch one:
% 47.77/16.99  																																												| (635) all_0_81_81 = e3
% 47.77/16.99  																																												|
% 47.77/16.99  																																													| Equations (635) can reduce 420 to:
% 47.77/16.99  																																													| (311) $false
% 47.77/16.99  																																													|
% 47.77/16.99  																																													|-The branch is then unsatisfiable
% 47.77/16.99  																																												|-Branch two:
% 47.77/16.99  																																												| (420)  ~ (all_0_81_81 = e3)
% 47.77/16.99  																																												| (638) all_0_81_81 = e4
% 47.77/16.99  																																												|
% 47.77/16.99  																																													| Equations (638) can reduce 628 to:
% 47.77/16.99  																																													| (256)  ~ (e4 = e1)
% 47.77/16.99  																																													|
% 47.77/16.99  																																													+-Applying beta-rule and splitting (565), into two cases.
% 47.77/16.99  																																													|-Branch one:
% 47.77/16.99  																																													| (566) all_0_93_93 = e1
% 47.77/16.99  																																													|
% 47.77/16.99  																																														| Equations (566) can reduce 300 to:
% 47.77/16.99  																																														| (487)  ~ (e2 = e1)
% 47.77/16.99  																																														|
% 47.77/16.99  																																														| Simplifying 487 yields:
% 47.77/16.99  																																														| (243)  ~ (e2 = e1)
% 47.77/16.99  																																														|
% 47.77/16.99  																																														| Instantiating formula (262) with e2, e0, e1, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields:
% 47.77/16.99  																																														| (385) e2 = e1
% 47.77/16.99  																																														|
% 47.77/16.99  																																														| Equations (385) can reduce 243 to:
% 47.77/16.99  																																														| (311) $false
% 47.77/16.99  																																														|
% 47.77/16.99  																																														|-The branch is then unsatisfiable
% 47.77/16.99  																																													|-Branch two:
% 47.77/16.99  																																													| (481)  ~ (all_0_93_93 = e1)
% 47.77/16.99  																																													| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 47.77/16.99  																																													|
% 47.77/16.99  																																														+-Applying beta-rule and splitting (108), into two cases.
% 47.77/16.99  																																														|-Branch one:
% 47.77/16.99  																																														| (477) all_0_81_81 = e1
% 47.77/16.99  																																														|
% 47.77/16.99  																																															| Combining equations (477,638) yields a new equation:
% 47.77/16.99  																																															| (814) e4 = e1
% 47.77/16.99  																																															|
% 47.77/16.99  																																															| Equations (814) can reduce 256 to:
% 47.77/16.99  																																															| (311) $false
% 47.77/16.99  																																															|
% 47.77/16.99  																																															|-The branch is then unsatisfiable
% 47.77/16.99  																																														|-Branch two:
% 47.77/16.99  																																														| (628)  ~ (all_0_81_81 = e1)
% 47.77/16.99  																																														| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.77/16.99  																																														|
% 47.77/16.99  																																															+-Applying beta-rule and splitting (817), into two cases.
% 47.77/16.99  																																															|-Branch one:
% 47.77/16.99  																																															| (504) all_0_88_88 = e1
% 47.77/16.99  																																															|
% 47.77/16.99  																																																| Combining equations (370,504) yields a new equation:
% 47.77/16.99  																																																| (408) e2 = e1
% 47.77/16.99  																																																|
% 47.77/16.99  																																																| Simplifying 408 yields:
% 47.77/16.99  																																																| (385) e2 = e1
% 47.77/16.99  																																																|
% 47.77/16.99  																																																| Equations (385) can reduce 243 to:
% 47.77/16.99  																																																| (311) $false
% 47.77/16.99  																																																|
% 47.77/16.99  																																																|-The branch is then unsatisfiable
% 47.77/16.99  																																															|-Branch two:
% 47.77/16.99  																																															| (479)  ~ (all_0_88_88 = e1)
% 47.77/16.99  																																															| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.77/16.99  																																															|
% 47.77/16.99  																																																+-Applying beta-rule and splitting (897), into two cases.
% 47.77/16.99  																																																|-Branch one:
% 47.77/16.99  																																																| (566) all_0_93_93 = e1
% 47.77/16.99  																																																|
% 47.77/16.99  																																																	| Equations (566) can reduce 481 to:
% 47.77/16.99  																																																	| (311) $false
% 47.77/16.99  																																																	|
% 47.77/16.99  																																																	|-The branch is then unsatisfiable
% 47.77/16.99  																																																|-Branch two:
% 47.77/16.99  																																																| (481)  ~ (all_0_93_93 = e1)
% 47.77/16.99  																																																| (1543) all_0_98_98 = e1
% 47.77/16.99  																																																|
% 47.77/16.99  																																																	| Combining equations (969,1543) yields a new equation:
% 47.77/16.99  																																																	| (825) e3 = e1
% 47.77/16.99  																																																	|
% 47.77/16.99  																																																	| Simplifying 825 yields:
% 47.77/16.99  																																																	| (772) e3 = e1
% 47.77/16.99  																																																	|
% 47.77/16.99  																																																	| Equations (772) can reduce 20 to:
% 47.77/16.99  																																																	| (311) $false
% 47.77/16.99  																																																	|
% 47.77/16.99  																																																	|-The branch is then unsatisfiable
% 47.77/16.99  																																								|-Branch two:
% 47.77/16.99  																																								| (828)  ~ (all_0_80_80 = e1)
% 47.77/16.99  																																								| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.77/16.99  																																								|
% 47.77/16.99  																																									+-Applying beta-rule and splitting (565), into two cases.
% 47.77/16.99  																																									|-Branch one:
% 47.77/16.99  																																									| (566) all_0_93_93 = e1
% 47.77/16.99  																																									|
% 47.77/16.99  																																										| Equations (566) can reduce 300 to:
% 47.77/16.99  																																										| (487)  ~ (e2 = e1)
% 47.77/16.99  																																										|
% 47.77/16.99  																																										| Simplifying 487 yields:
% 47.77/16.99  																																										| (243)  ~ (e2 = e1)
% 47.77/16.99  																																										|
% 47.77/16.99  																																										| Equations (566) can reduce 509 to:
% 47.77/16.99  																																										| (264)  ~ (e1 = e0)
% 47.77/16.99  																																										|
% 47.77/16.99  																																										+-Applying beta-rule and splitting (829), into two cases.
% 47.77/16.99  																																										|-Branch one:
% 47.77/16.99  																																										| (482) all_0_87_87 = e1
% 47.77/16.99  																																										|
% 47.77/16.99  																																											| Combining equations (861,482) yields a new equation:
% 47.77/16.99  																																											| (865) e1 = e0
% 47.77/16.99  																																											|
% 47.77/16.99  																																											| Equations (865) can reduce 264 to:
% 47.77/16.99  																																											| (311) $false
% 47.77/16.99  																																											|
% 47.77/16.99  																																											|-The branch is then unsatisfiable
% 47.77/16.99  																																										|-Branch two:
% 47.77/16.99  																																										| (625)  ~ (all_0_87_87 = e1)
% 47.77/16.99  																																										| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.77/16.99  																																										|
% 47.77/16.99  																																											+-Applying beta-rule and splitting (835), into two cases.
% 47.77/16.99  																																											|-Branch one:
% 47.77/16.99  																																											| (836) all_0_92_92 = e1
% 47.77/16.99  																																											|
% 47.77/16.99  																																												| Combining equations (1343,836) yields a new equation:
% 47.77/16.99  																																												| (408) e2 = e1
% 47.77/16.99  																																												|
% 47.77/16.99  																																												| Simplifying 408 yields:
% 47.77/16.99  																																												| (385) e2 = e1
% 47.77/16.99  																																												|
% 47.77/16.99  																																												| Equations (385) can reduce 243 to:
% 47.77/16.99  																																												| (311) $false
% 47.77/16.99  																																												|
% 47.77/16.99  																																												|-The branch is then unsatisfiable
% 47.77/16.99  																																											|-Branch two:
% 47.77/16.99  																																											| (840)  ~ (all_0_92_92 = e1)
% 47.77/16.99  																																											| (542) all_0_97_97 = e1
% 47.77/16.99  																																											|
% 47.77/16.99  																																												| Equations (542) can reduce 486 to:
% 47.77/16.99  																																												| (311) $false
% 47.77/16.99  																																												|
% 47.77/16.99  																																												|-The branch is then unsatisfiable
% 47.77/16.99  																																									|-Branch two:
% 47.77/16.99  																																									| (481)  ~ (all_0_93_93 = e1)
% 47.77/16.99  																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 47.77/16.99  																																									|
% 47.77/16.99  																																										+-Applying beta-rule and splitting (569), into two cases.
% 47.77/16.99  																																										|-Branch one:
% 47.77/16.99  																																										| (570) all_0_93_93 = e3
% 47.77/16.99  																																										|
% 47.77/16.99  																																											| Equations (570) can reduce 602 to:
% 47.77/16.99  																																											| (311) $false
% 47.77/16.99  																																											|
% 47.77/16.99  																																											|-The branch is then unsatisfiable
% 47.77/16.99  																																										|-Branch two:
% 47.77/16.99  																																										| (602)  ~ (all_0_93_93 = e3)
% 47.77/16.99  																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 47.77/16.99  																																										|
% 47.77/16.99  																																											+-Applying beta-rule and splitting (603), into two cases.
% 47.77/16.99  																																											|-Branch one:
% 47.77/16.99  																																											| (604) all_0_93_93 = e0
% 47.77/16.99  																																											|
% 47.77/16.99  																																												| Equations (604) can reduce 509 to:
% 47.77/16.99  																																												| (311) $false
% 47.77/16.99  																																												|
% 47.77/16.99  																																												|-The branch is then unsatisfiable
% 47.77/16.99  																																											|-Branch two:
% 47.77/16.99  																																											| (509)  ~ (all_0_93_93 = e0)
% 47.77/16.99  																																											| (607) all_0_93_93 = e4
% 47.77/16.99  																																											|
% 47.77/16.99  																																												| Equations (607) can reduce 496 to:
% 47.77/16.99  																																												| (311) $false
% 47.77/16.99  																																												|
% 47.77/16.99  																																												|-The branch is then unsatisfiable
% 47.77/16.99  																																					|-Branch two:
% 47.77/16.99  																																					| (800)  ~ (all_0_85_85 = e0)
% 47.77/16.99  																																					| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.77/16.99  																																					|
% 47.77/16.99  																																						+-Applying beta-rule and splitting (1315), into two cases.
% 47.77/16.99  																																						|-Branch one:
% 47.77/16.99  																																						| (916) all_0_84_84 = e0
% 47.77/16.99  																																						|
% 47.77/16.99  																																							| Equations (916) can reduce 919 to:
% 47.77/16.99  																																							| (311) $false
% 47.77/16.99  																																							|
% 47.77/16.99  																																							|-The branch is then unsatisfiable
% 47.77/16.99  																																						|-Branch two:
% 47.77/16.99  																																						| (919)  ~ (all_0_84_84 = e0)
% 47.77/16.99  																																						| (954) all_0_85_85 = e0
% 47.77/16.99  																																						|
% 47.77/16.99  																																							| Equations (954) can reduce 800 to:
% 47.77/16.99  																																							| (311) $false
% 47.77/16.99  																																							|
% 47.77/16.99  																																							|-The branch is then unsatisfiable
% 47.77/16.99  																																				|-Branch two:
% 47.77/16.99  																																				| (1487)  ~ (all_0_91_91 = e0)
% 47.77/16.99  																																				| (1837) all_0_96_96 = e0
% 47.77/16.99  																																				|
% 47.77/16.99  																																					| Equations (1837) can reduce 2095 to:
% 47.77/16.99  																																					| (311) $false
% 47.77/16.99  																																					|
% 47.77/16.99  																																					|-The branch is then unsatisfiable
% 47.77/16.99  																											|-Branch two:
% 47.77/16.99  																											| (745)  ~ (all_0_90_90 = e3)
% 47.77/16.99  																											| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/16.99  																											|
% 47.77/16.99  																												+-Applying beta-rule and splitting (849), into two cases.
% 47.77/16.99  																												|-Branch one:
% 47.77/16.99  																												| (588) all_0_91_91 = e3
% 47.77/16.99  																												|
% 47.77/16.99  																													| Equations (588) can reduce 571 to:
% 47.77/16.99  																													| (311) $false
% 47.77/16.99  																													|
% 47.77/16.99  																													|-The branch is then unsatisfiable
% 47.77/16.99  																												|-Branch two:
% 47.77/16.99  																												| (571)  ~ (all_0_91_91 = e3)
% 47.77/16.99  																												| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/16.99  																												|
% 47.77/16.99  																													+-Applying beta-rule and splitting (881), into two cases.
% 47.77/16.99  																													|-Branch one:
% 47.77/16.99  																													| (882) all_0_92_92 = e3
% 47.77/16.99  																													|
% 47.77/16.99  																														| Combining equations (882,1343) yields a new equation:
% 47.77/16.99  																														| (547) e3 = e2
% 47.77/16.99  																														|
% 47.77/16.99  																														| Simplifying 547 yields:
% 47.77/16.99  																														| (548) e3 = e2
% 47.77/16.99  																														|
% 47.77/16.99  																														| Equations (548) can reduce 169 to:
% 47.77/16.99  																														| (311) $false
% 47.77/16.99  																														|
% 47.77/16.99  																														|-The branch is then unsatisfiable
% 47.77/16.99  																													|-Branch two:
% 47.77/16.99  																													| (426)  ~ (all_0_92_92 = e3)
% 47.77/16.99  																													| (570) all_0_93_93 = e3
% 47.77/16.99  																													|
% 47.77/16.99  																														| Equations (570) can reduce 34 to:
% 47.77/16.99  																														| (745)  ~ (all_0_90_90 = e3)
% 47.77/16.99  																														|
% 47.77/16.99  																														+-Applying beta-rule and splitting (27), into two cases.
% 47.77/16.99  																														|-Branch one:
% 47.77/16.99  																														| (746) all_0_90_90 = e2
% 47.77/16.99  																														|
% 47.77/16.99  																															| Equations (746) can reduce 294 to:
% 47.77/16.99  																															| (311) $false
% 47.77/16.99  																															|
% 47.77/16.99  																															|-The branch is then unsatisfiable
% 47.77/16.99  																														|-Branch two:
% 47.77/16.99  																														| (294)  ~ (all_0_90_90 = e2)
% 47.77/16.99  																														| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.77/16.99  																														|
% 47.77/16.99  																															+-Applying beta-rule and splitting (132), into two cases.
% 47.77/16.99  																															|-Branch one:
% 47.77/16.99  																															| (750) all_0_90_90 = e1
% 47.77/16.99  																															|
% 47.77/16.99  																																| Equations (750) can reduce 678 to:
% 47.77/16.99  																																| (311) $false
% 47.77/16.99  																																|
% 47.77/16.99  																																|-The branch is then unsatisfiable
% 47.77/16.99  																															|-Branch two:
% 47.77/16.99  																															| (678)  ~ (all_0_90_90 = e1)
% 47.77/16.99  																															| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.77/16.99  																															|
% 47.77/16.99  																																+-Applying beta-rule and splitting (749), into two cases.
% 47.77/16.99  																																|-Branch one:
% 47.77/16.99  																																| (750) all_0_90_90 = e1
% 47.77/16.99  																																|
% 47.77/16.99  																																	| Equations (750) can reduce 678 to:
% 47.77/16.99  																																	| (311) $false
% 47.77/16.99  																																	|
% 47.77/16.99  																																	|-The branch is then unsatisfiable
% 47.77/16.99  																																|-Branch two:
% 47.77/16.99  																																| (678)  ~ (all_0_90_90 = e1)
% 47.77/16.99  																																| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.77/16.99  																																|
% 47.77/16.99  																																	+-Applying beta-rule and splitting (753), into two cases.
% 47.77/16.99  																																	|-Branch one:
% 47.77/16.99  																																	| (754) all_0_90_90 = e3
% 47.77/16.99  																																	|
% 47.77/16.99  																																		| Equations (754) can reduce 745 to:
% 47.77/16.99  																																		| (311) $false
% 47.77/16.99  																																		|
% 47.77/16.99  																																		|-The branch is then unsatisfiable
% 47.77/16.99  																																	|-Branch two:
% 47.77/16.99  																																	| (745)  ~ (all_0_90_90 = e3)
% 47.77/16.99  																																	| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.77/16.99  																																	|
% 47.77/16.99  																																		+-Applying beta-rule and splitting (1526), into two cases.
% 47.77/16.99  																																		|-Branch one:
% 47.77/16.99  																																		| (801) all_0_91_91 = e1
% 47.77/16.99  																																		|
% 47.77/16.99  																																			| From (801) and (1703) follows:
% 47.77/16.99  																																			| (13258) op(e2, e1) = e1
% 47.77/16.99  																																			|
% 47.77/16.99  																																			+-Applying beta-rule and splitting (291), into two cases.
% 47.77/16.99  																																			|-Branch one:
% 47.77/16.99  																																			| (758) all_0_90_90 = e0
% 47.77/16.99  																																			|
% 47.77/16.99  																																				| Equations (758) can reduce 255 to:
% 47.77/16.99  																																				| (914)  ~ (all_0_82_82 = e0)
% 47.77/16.99  																																				|
% 47.77/16.99  																																				| Equations (758) can reduce 294 to:
% 47.77/16.99  																																				| (510)  ~ (e2 = e0)
% 47.77/16.99  																																				|
% 47.77/16.99  																																				| Simplifying 510 yields:
% 47.77/16.99  																																				| (76)  ~ (e2 = e0)
% 47.77/16.99  																																				|
% 47.77/16.99  																																				+-Applying beta-rule and splitting (249), into two cases.
% 47.77/16.99  																																				|-Branch one:
% 47.77/16.99  																																				| (910) all_0_82_82 = e0
% 47.77/16.99  																																				|
% 47.77/16.99  																																					| Equations (910) can reduce 914 to:
% 47.77/16.99  																																					| (311) $false
% 47.77/16.99  																																					|
% 47.77/16.99  																																					|-The branch is then unsatisfiable
% 47.77/16.99  																																				|-Branch two:
% 47.77/16.99  																																				| (914)  ~ (all_0_82_82 = e0)
% 47.77/16.99  																																				| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/16.99  																																				|
% 47.77/16.99  																																					+-Applying beta-rule and splitting (1309), into two cases.
% 47.77/16.99  																																					|-Branch one:
% 47.77/16.99  																																					| (798) all_0_83_83 = e0
% 47.77/16.99  																																					|
% 47.77/16.99  																																						| Combining equations (453,798) yields a new equation:
% 47.77/16.99  																																						| (923) e2 = e0
% 47.77/16.99  																																						|
% 47.77/16.99  																																						| Simplifying 923 yields:
% 47.77/16.99  																																						| (379) e2 = e0
% 47.77/16.99  																																						|
% 47.77/16.99  																																						| Equations (379) can reduce 76 to:
% 47.77/16.99  																																						| (311) $false
% 47.77/16.99  																																						|
% 47.77/16.99  																																						|-The branch is then unsatisfiable
% 47.77/16.99  																																					|-Branch two:
% 47.77/16.99  																																					| (1314)  ~ (all_0_83_83 = e0)
% 47.77/16.99  																																					| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/16.99  																																					|
% 47.77/16.99  																																						+-Applying beta-rule and splitting (289), into two cases.
% 47.77/16.99  																																						|-Branch one:
% 47.77/16.99  																																						| (954) all_0_85_85 = e0
% 47.77/16.99  																																						|
% 47.77/16.99  																																							| Equations (954) can reduce 128 to:
% 47.77/16.99  																																							| (859)  ~ (e1 = e0)
% 47.77/16.99  																																							|
% 47.77/16.99  																																							| Simplifying 859 yields:
% 47.77/16.99  																																							| (264)  ~ (e1 = e0)
% 47.77/16.99  																																							|
% 47.77/16.99  																																							| Instantiating formula (262) with e2, e1, e1, e0 and discharging atoms op(e2, e1) = e1, op(e2, e1) = e0, yields:
% 47.77/16.99  																																							| (865) e1 = e0
% 47.77/16.99  																																							|
% 47.77/16.99  																																							| Equations (865) can reduce 264 to:
% 47.77/16.99  																																							| (311) $false
% 47.77/16.99  																																							|
% 47.77/16.99  																																							|-The branch is then unsatisfiable
% 47.77/16.99  																																						|-Branch two:
% 47.77/16.99  																																						| (800)  ~ (all_0_85_85 = e0)
% 47.77/16.99  																																						| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.77/17.00  																																						|
% 47.77/17.00  																																							+-Applying beta-rule and splitting (1315), into two cases.
% 47.77/17.00  																																							|-Branch one:
% 47.77/17.00  																																							| (916) all_0_84_84 = e0
% 47.77/17.00  																																							|
% 47.77/17.00  																																								| Equations (916) can reduce 919 to:
% 47.77/17.00  																																								| (311) $false
% 47.77/17.00  																																								|
% 47.77/17.00  																																								|-The branch is then unsatisfiable
% 47.77/17.00  																																							|-Branch two:
% 47.77/17.00  																																							| (919)  ~ (all_0_84_84 = e0)
% 47.77/17.00  																																							| (954) all_0_85_85 = e0
% 47.77/17.00  																																							|
% 47.77/17.00  																																								| Equations (954) can reduce 800 to:
% 47.77/17.00  																																								| (311) $false
% 47.77/17.00  																																								|
% 47.77/17.00  																																								|-The branch is then unsatisfiable
% 47.77/17.00  																																			|-Branch two:
% 47.77/17.00  																																			| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.00  																																			| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.77/17.00  																																			|
% 47.77/17.00  																																				+-Applying beta-rule and splitting (757), into two cases.
% 47.77/17.00  																																				|-Branch one:
% 47.77/17.00  																																				| (758) all_0_90_90 = e0
% 47.77/17.00  																																				|
% 47.77/17.00  																																					| Equations (758) can reduce 762 to:
% 47.77/17.00  																																					| (311) $false
% 47.77/17.00  																																					|
% 47.77/17.00  																																					|-The branch is then unsatisfiable
% 47.77/17.00  																																				|-Branch two:
% 47.77/17.00  																																				| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.00  																																				| (583) all_0_90_90 = e4
% 47.77/17.00  																																				|
% 47.77/17.00  																																					| Equations (583) can reduce 467 to:
% 47.77/17.00  																																					| (311) $false
% 47.77/17.00  																																					|
% 47.77/17.00  																																					|-The branch is then unsatisfiable
% 47.77/17.00  																																		|-Branch two:
% 47.77/17.00  																																		| (959)  ~ (all_0_91_91 = e1)
% 47.77/17.00  																																		| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.77/17.00  																																		|
% 47.77/17.00  																																			+-Applying beta-rule and splitting (1556), into two cases.
% 47.77/17.00  																																			|-Branch one:
% 47.77/17.00  																																			| (836) all_0_92_92 = e1
% 47.77/17.00  																																			|
% 47.77/17.00  																																				| Combining equations (1343,836) yields a new equation:
% 47.77/17.00  																																				| (408) e2 = e1
% 47.77/17.00  																																				|
% 47.77/17.00  																																				| Simplifying 408 yields:
% 47.77/17.00  																																				| (385) e2 = e1
% 47.77/17.00  																																				|
% 47.77/17.00  																																				| Equations (385) can reduce 243 to:
% 47.77/17.00  																																				| (311) $false
% 47.77/17.00  																																				|
% 47.77/17.00  																																				|-The branch is then unsatisfiable
% 47.77/17.00  																																			|-Branch two:
% 47.77/17.00  																																			| (840)  ~ (all_0_92_92 = e1)
% 47.77/17.00  																																			| (566) all_0_93_93 = e1
% 47.77/17.00  																																			|
% 47.77/17.00  																																				| Combining equations (570,566) yields a new equation:
% 47.77/17.00  																																				| (825) e3 = e1
% 47.77/17.00  																																				|
% 47.77/17.00  																																				| Simplifying 825 yields:
% 47.77/17.00  																																				| (772) e3 = e1
% 47.77/17.00  																																				|
% 47.77/17.00  																																				| Equations (772) can reduce 20 to:
% 47.77/17.00  																																				| (311) $false
% 47.77/17.00  																																				|
% 47.77/17.00  																																				|-The branch is then unsatisfiable
% 47.77/17.00  																						|-Branch two:
% 47.77/17.00  																						| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.77/17.00  																						|
% 47.77/17.00  																							| Applying alpha-rule on (4957) yields:
% 47.77/17.00  																							| (4958) all_0_58_58 = e0
% 47.77/17.00  																							| (4959)  ~ (all_0_59_59 = e2)
% 47.77/17.00  																							|
% 47.77/17.00  																							| From (4958) and (212) follows:
% 47.77/17.00  																							| (4960) op(e2, all_0_96_96) = e0
% 47.77/17.00  																							|
% 47.77/17.00  																							+-Applying beta-rule and splitting (129), into two cases.
% 47.77/17.00  																							|-Branch one:
% 47.77/17.00  																							| (676) all_0_78_78 = e1
% 47.77/17.00  																							|
% 47.77/17.00  																								| Combining equations (676,400) yields a new equation:
% 47.77/17.00  																								| (385) e2 = e1
% 47.77/17.00  																								|
% 47.77/17.00  																								| Equations (385) can reduce 243 to:
% 47.77/17.00  																								| (311) $false
% 47.77/17.00  																								|
% 47.77/17.00  																								|-The branch is then unsatisfiable
% 47.77/17.00  																							|-Branch two:
% 47.77/17.00  																							| (1601)  ~ (all_0_78_78 = e1)
% 47.77/17.00  																							| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.77/17.00  																							|
% 47.77/17.00  																								| Equations (400) can reduce 1601 to:
% 47.77/17.00  																								| (243)  ~ (e2 = e1)
% 47.77/17.00  																								|
% 47.77/17.00  																								+-Applying beta-rule and splitting (282), into two cases.
% 47.77/17.00  																								|-Branch one:
% 47.77/17.00  																								| (754) all_0_90_90 = e3
% 47.77/17.00  																								|
% 47.77/17.00  																									| Equations (754) can reduce 103 to:
% 47.77/17.00  																									| (1298)  ~ (all_0_91_91 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									| Simplifying 1298 yields:
% 47.77/17.00  																									| (571)  ~ (all_0_91_91 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									| Equations (754) can reduce 34 to:
% 47.77/17.00  																									| (807)  ~ (all_0_93_93 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									| Simplifying 807 yields:
% 47.77/17.00  																									| (602)  ~ (all_0_93_93 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									| Equations (754) can reduce 229 to:
% 47.77/17.00  																									| (1070)  ~ (all_0_95_95 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									| Simplifying 1070 yields:
% 47.77/17.00  																									| (765)  ~ (all_0_95_95 = e3)
% 47.77/17.00  																									|
% 47.77/17.00  																									+-Applying beta-rule and splitting (250), into two cases.
% 47.77/17.00  																									|-Branch one:
% 47.77/17.00  																									| (635) all_0_81_81 = e3
% 47.77/17.00  																									|
% 47.77/17.00  																										| Equations (635) can reduce 420 to:
% 47.77/17.00  																										| (311) $false
% 47.77/17.00  																										|
% 47.77/17.00  																										|-The branch is then unsatisfiable
% 47.77/17.00  																									|-Branch two:
% 47.77/17.00  																									| (420)  ~ (all_0_81_81 = e3)
% 47.77/17.00  																									| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 47.77/17.00  																									|
% 47.77/17.00  																										+-Applying beta-rule and splitting (291), into two cases.
% 47.77/17.00  																										|-Branch one:
% 47.77/17.00  																										| (758) all_0_90_90 = e0
% 47.77/17.00  																										|
% 47.77/17.00  																											| Combining equations (754,758) yields a new equation:
% 47.77/17.00  																											| (599) e3 = e0
% 47.77/17.00  																											|
% 47.77/17.00  																											| Simplifying 599 yields:
% 47.77/17.00  																											| (600) e3 = e0
% 47.77/17.00  																											|
% 47.77/17.00  																											| Equations (600) can reduce 50 to:
% 47.77/17.00  																											| (311) $false
% 47.77/17.00  																											|
% 47.77/17.00  																											|-The branch is then unsatisfiable
% 47.77/17.00  																										|-Branch two:
% 47.77/17.00  																										| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.00  																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.77/17.00  																										|
% 47.77/17.00  																											| Equations (754) can reduce 762 to:
% 47.77/17.00  																											| (50)  ~ (e3 = e0)
% 47.77/17.00  																											|
% 47.77/17.00  																											+-Applying beta-rule and splitting (270), into two cases.
% 47.77/17.00  																											|-Branch one:
% 47.77/17.00  																											| (744) all_0_95_95 = e3
% 47.77/17.00  																											|
% 47.77/17.00  																												| Equations (744) can reduce 765 to:
% 47.77/17.00  																												| (311) $false
% 47.77/17.00  																												|
% 47.77/17.00  																												|-The branch is then unsatisfiable
% 47.77/17.00  																											|-Branch two:
% 47.77/17.00  																											| (765)  ~ (all_0_95_95 = e3)
% 47.77/17.00  																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.77/17.00  																											|
% 47.77/17.00  																												+-Applying beta-rule and splitting (249), into two cases.
% 47.77/17.00  																												|-Branch one:
% 47.77/17.00  																												| (910) all_0_82_82 = e0
% 47.77/17.00  																												|
% 47.77/17.00  																													| Equations (910) can reduce 200 to:
% 47.77/17.00  																													| (2712)  ~ (all_0_95_95 = e0)
% 47.77/17.00  																													|
% 47.77/17.00  																													| Simplifying 2712 yields:
% 47.77/17.00  																													| (893)  ~ (all_0_95_95 = e0)
% 47.77/17.00  																													|
% 47.77/17.00  																													| Equations (910) can reduce 198 to:
% 47.77/17.00  																													| (859)  ~ (e1 = e0)
% 47.77/17.00  																													|
% 47.77/17.00  																													| Simplifying 859 yields:
% 47.77/17.00  																													| (264)  ~ (e1 = e0)
% 47.77/17.00  																													|
% 47.77/17.00  																													+-Applying beta-rule and splitting (99), into two cases.
% 47.77/17.00  																													|-Branch one:
% 47.77/17.00  																													| (767) all_0_95_95 = e2
% 47.77/17.00  																													|
% 47.77/17.00  																														| Equations (767) can reduce 355 to:
% 47.77/17.00  																														| (311) $false
% 47.77/17.00  																														|
% 47.77/17.00  																														|-The branch is then unsatisfiable
% 47.77/17.00  																													|-Branch two:
% 47.77/17.00  																													| (355)  ~ (all_0_95_95 = e2)
% 47.77/17.00  																													| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.77/17.00  																													|
% 47.77/17.00  																														+-Applying beta-rule and splitting (770), into two cases.
% 47.77/17.00  																														|-Branch one:
% 47.77/17.00  																														| (785) all_0_95_95 = e1
% 47.77/17.00  																														|
% 47.77/17.00  																															| Equations (785) can reduce 680 to:
% 47.77/17.00  																															| (311) $false
% 47.77/17.00  																															|
% 47.77/17.00  																															|-The branch is then unsatisfiable
% 47.77/17.00  																														|-Branch two:
% 47.77/17.00  																														| (680)  ~ (all_0_95_95 = e1)
% 47.77/17.00  																														| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.77/17.00  																														|
% 47.77/17.00  																															+-Applying beta-rule and splitting (853), into two cases.
% 47.77/17.00  																															|-Branch one:
% 47.77/17.00  																															| (744) all_0_95_95 = e3
% 47.77/17.00  																															|
% 47.77/17.00  																																| Equations (744) can reduce 765 to:
% 47.77/17.00  																																| (311) $false
% 47.77/17.00  																																|
% 47.77/17.00  																																|-The branch is then unsatisfiable
% 47.77/17.00  																															|-Branch two:
% 47.77/17.00  																															| (765)  ~ (all_0_95_95 = e3)
% 47.77/17.00  																															| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.77/17.00  																															|
% 47.77/17.00  																																+-Applying beta-rule and splitting (857), into two cases.
% 47.77/17.00  																																|-Branch one:
% 47.77/17.00  																																| (858) all_0_95_95 = e0
% 47.77/17.00  																																|
% 47.77/17.00  																																	| Equations (858) can reduce 893 to:
% 47.77/17.00  																																	| (311) $false
% 47.77/17.00  																																	|
% 47.77/17.00  																																	|-The branch is then unsatisfiable
% 47.77/17.00  																																|-Branch two:
% 47.77/17.00  																																| (893)  ~ (all_0_95_95 = e0)
% 47.77/17.00  																																| (894) all_0_95_95 = e4
% 47.77/17.00  																																|
% 47.77/17.00  																																	| From (894) and (976) follows:
% 47.77/17.00  																																	| (35438) op(e3, e4) = e0
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| Instantiating formula (262) with e3, e4, e0, e1 and discharging atoms op(e3, e4) = e1, op(e3, e4) = e0, yields:
% 47.77/17.00  																																	| (865) e1 = e0
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| Equations (865) can reduce 264 to:
% 47.77/17.00  																																	| (311) $false
% 47.77/17.00  																																	|
% 47.77/17.00  																																	|-The branch is then unsatisfiable
% 47.77/17.00  																												|-Branch two:
% 47.77/17.00  																												| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.00  																												| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/17.00  																												|
% 47.77/17.00  																													+-Applying beta-rule and splitting (254), into two cases.
% 47.77/17.00  																													|-Branch one:
% 47.77/17.00  																													| (910) all_0_82_82 = e0
% 47.77/17.00  																													|
% 47.77/17.00  																														| Equations (910) can reduce 914 to:
% 47.77/17.00  																														| (311) $false
% 47.77/17.00  																														|
% 47.77/17.00  																														|-The branch is then unsatisfiable
% 47.77/17.00  																													|-Branch two:
% 47.77/17.00  																													| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.00  																													| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.77/17.00  																													|
% 47.77/17.00  																														+-Applying beta-rule and splitting (915), into two cases.
% 47.77/17.00  																														|-Branch one:
% 47.77/17.00  																														| (378) all_0_86_86 = e0
% 47.77/17.00  																														|
% 47.77/17.00  																															| Combining equations (384,378) yields a new equation:
% 47.77/17.00  																															| (1107) e1 = e0
% 47.77/17.00  																															|
% 47.77/17.00  																															| Simplifying 1107 yields:
% 47.77/17.00  																															| (865) e1 = e0
% 47.77/17.00  																															|
% 47.77/17.00  																															| Equations (865) can reduce 264 to:
% 47.77/17.00  																															| (311) $false
% 47.77/17.00  																															|
% 47.77/17.00  																															|-The branch is then unsatisfiable
% 47.77/17.00  																														|-Branch two:
% 47.77/17.00  																														| (381)  ~ (all_0_86_86 = e0)
% 47.77/17.00  																														| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.77/17.00  																														|
% 47.77/17.00  																															+-Applying beta-rule and splitting (1309), into two cases.
% 47.77/17.00  																															|-Branch one:
% 47.77/17.00  																															| (798) all_0_83_83 = e0
% 47.77/17.00  																															|
% 47.77/17.00  																																| Combining equations (453,798) yields a new equation:
% 47.77/17.00  																																| (923) e2 = e0
% 47.77/17.00  																																|
% 47.77/17.00  																																| Simplifying 923 yields:
% 47.77/17.00  																																| (379) e2 = e0
% 47.77/17.00  																																|
% 47.77/17.00  																																| Equations (379) can reduce 76 to:
% 47.77/17.00  																																| (311) $false
% 47.77/17.00  																																|
% 47.77/17.00  																																|-The branch is then unsatisfiable
% 47.77/17.00  																															|-Branch two:
% 47.77/17.00  																															| (1314)  ~ (all_0_83_83 = e0)
% 47.77/17.00  																															| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/17.00  																															|
% 47.77/17.00  																																+-Applying beta-rule and splitting (927), into two cases.
% 47.77/17.00  																																|-Branch one:
% 47.77/17.00  																																| (758) all_0_90_90 = e0
% 47.77/17.00  																																|
% 47.77/17.00  																																	| Combining equations (754,758) yields a new equation:
% 47.77/17.00  																																	| (599) e3 = e0
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| Simplifying 599 yields:
% 47.77/17.00  																																	| (600) e3 = e0
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| Equations (600) can reduce 50 to:
% 47.77/17.00  																																	| (311) $false
% 47.77/17.00  																																	|
% 47.77/17.00  																																	|-The branch is then unsatisfiable
% 47.77/17.00  																																|-Branch two:
% 47.77/17.00  																																| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.00  																																| (858) all_0_95_95 = e0
% 47.77/17.00  																																|
% 47.77/17.00  																																	| Equations (858) can reduce 279 to:
% 47.77/17.00  																																	| (2296)  ~ (all_0_96_96 = e0)
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| Simplifying 2296 yields:
% 47.77/17.00  																																	| (2095)  ~ (all_0_96_96 = e0)
% 47.77/17.00  																																	|
% 47.77/17.00  																																	| From (858) and (280) follows:
% 47.77/17.00  																																	| (31433) op(e0, e0) = all_0_51_51
% 47.77/17.00  																																	|
% 47.77/17.00  																																	+-Applying beta-rule and splitting (1400), into two cases.
% 47.77/17.00  																																	|-Branch one:
% 47.77/17.00  																																	| (1456) all_0_91_91 = e0
% 47.77/17.00  																																	|
% 47.77/17.00  																																		| Equations (1456) can reduce 571 to:
% 47.77/17.00  																																		| (906)  ~ (e3 = e0)
% 47.77/17.00  																																		|
% 47.77/17.00  																																		| Simplifying 906 yields:
% 47.77/17.00  																																		| (50)  ~ (e3 = e0)
% 47.77/17.00  																																		|
% 47.77/17.00  																																		+-Applying beta-rule and splitting (289), into two cases.
% 47.77/17.00  																																		|-Branch one:
% 47.77/17.00  																																		| (954) all_0_85_85 = e0
% 47.77/17.00  																																		|
% 47.77/17.00  																																			| From (954) and (26) follows:
% 47.77/17.00  																																			| (2584) op(e0, e0) = all_0_71_71
% 47.77/17.00  																																			|
% 47.77/17.00  																																			+-Applying beta-rule and splitting (4488), into two cases.
% 47.77/17.00  																																			|-Branch one:
% 47.77/17.00  																																			| (804) all_0_85_85 = e3
% 47.77/17.00  																																			|
% 47.77/17.00  																																				| Combining equations (954,804) yields a new equation:
% 47.77/17.00  																																				| (600) e3 = e0
% 47.77/17.00  																																				|
% 47.77/17.00  																																				| Equations (600) can reduce 50 to:
% 47.77/17.00  																																				| (311) $false
% 47.77/17.00  																																				|
% 47.77/17.00  																																				|-The branch is then unsatisfiable
% 47.77/17.00  																																			|-Branch two:
% 47.77/17.00  																																			| (952)  ~ (all_0_85_85 = e3)
% 47.77/17.00  																																			| (4559) all_0_93_93 = e3 | all_0_98_98 = e3
% 47.77/17.00  																																			|
% 47.77/17.00  																																				+-Applying beta-rule and splitting (4559), into two cases.
% 47.77/17.00  																																				|-Branch one:
% 47.77/17.00  																																				| (570) all_0_93_93 = e3
% 47.77/17.00  																																				|
% 47.77/17.00  																																					| Equations (570) can reduce 602 to:
% 47.77/17.00  																																					| (311) $false
% 47.77/17.00  																																					|
% 47.77/17.00  																																					|-The branch is then unsatisfiable
% 47.77/17.00  																																				|-Branch two:
% 47.77/17.00  																																				| (602)  ~ (all_0_93_93 = e3)
% 47.77/17.00  																																				| (969) all_0_98_98 = e3
% 47.77/17.00  																																				|
% 47.77/17.00  																																					| From (969) and (38) follows:
% 47.77/17.00  																																					| (9794) op(e0, e0) = e3
% 47.77/17.00  																																					|
% 47.77/17.00  																																					| Instantiating formula (262) with e0, e0, all_0_71_71, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = all_0_71_71, yields:
% 47.77/17.00  																																					| (9855) all_0_51_51 = all_0_71_71
% 47.77/17.00  																																					|
% 47.77/17.00  																																					| Instantiating formula (262) with e0, e0, e3, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = e3, yields:
% 47.77/17.00  																																					| (1551) all_0_51_51 = e3
% 47.77/17.00  																																					|
% 47.77/17.01  																																					| Combining equations (1551,9855) yields a new equation:
% 47.77/17.01  																																					| (1380) all_0_71_71 = e3
% 47.77/17.01  																																					|
% 47.77/17.01  																																					| Combining equations (1380,9855) yields a new equation:
% 47.77/17.01  																																					| (1551) all_0_51_51 = e3
% 47.77/17.01  																																					|
% 47.77/17.01  																																					| Equations (1551) can reduce 975 to:
% 47.77/17.01  																																					| (311) $false
% 47.77/17.01  																																					|
% 47.77/17.01  																																					|-The branch is then unsatisfiable
% 47.77/17.01  																																		|-Branch two:
% 47.77/17.01  																																		| (800)  ~ (all_0_85_85 = e0)
% 47.77/17.01  																																		| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.77/17.01  																																		|
% 47.77/17.01  																																			+-Applying beta-rule and splitting (1315), into two cases.
% 47.77/17.01  																																			|-Branch one:
% 47.77/17.01  																																			| (916) all_0_84_84 = e0
% 47.77/17.01  																																			|
% 47.77/17.01  																																				| Equations (916) can reduce 919 to:
% 47.77/17.01  																																				| (311) $false
% 47.77/17.01  																																				|
% 47.77/17.01  																																				|-The branch is then unsatisfiable
% 47.77/17.01  																																			|-Branch two:
% 47.77/17.01  																																			| (919)  ~ (all_0_84_84 = e0)
% 47.77/17.01  																																			| (954) all_0_85_85 = e0
% 47.77/17.01  																																			|
% 47.77/17.01  																																				| Equations (954) can reduce 800 to:
% 47.77/17.01  																																				| (311) $false
% 47.77/17.01  																																				|
% 47.77/17.01  																																				|-The branch is then unsatisfiable
% 47.77/17.01  																																	|-Branch two:
% 47.77/17.01  																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.77/17.01  																																	| (1837) all_0_96_96 = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																		| Equations (1837) can reduce 2095 to:
% 47.77/17.01  																																		| (311) $false
% 47.77/17.01  																																		|
% 47.77/17.01  																																		|-The branch is then unsatisfiable
% 47.77/17.01  																								|-Branch two:
% 47.77/17.01  																								| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.01  																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/17.01  																								|
% 47.77/17.01  																									+-Applying beta-rule and splitting (849), into two cases.
% 47.77/17.01  																									|-Branch one:
% 47.77/17.01  																									| (588) all_0_91_91 = e3
% 47.77/17.01  																									|
% 47.77/17.01  																										| Equations (588) can reduce 571 to:
% 47.77/17.01  																										| (311) $false
% 47.77/17.01  																										|
% 47.77/17.01  																										|-The branch is then unsatisfiable
% 47.77/17.01  																									|-Branch two:
% 47.77/17.01  																									| (571)  ~ (all_0_91_91 = e3)
% 47.77/17.01  																									| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/17.01  																									|
% 47.77/17.01  																										+-Applying beta-rule and splitting (881), into two cases.
% 47.77/17.01  																										|-Branch one:
% 47.77/17.01  																										| (882) all_0_92_92 = e3
% 47.77/17.01  																										|
% 47.77/17.01  																											| Combining equations (882,1343) yields a new equation:
% 47.77/17.01  																											| (547) e3 = e2
% 47.77/17.01  																											|
% 47.77/17.01  																											| Simplifying 547 yields:
% 47.77/17.01  																											| (548) e3 = e2
% 47.77/17.01  																											|
% 47.77/17.01  																											| Equations (548) can reduce 169 to:
% 47.77/17.01  																											| (311) $false
% 47.77/17.01  																											|
% 47.77/17.01  																											|-The branch is then unsatisfiable
% 47.77/17.01  																										|-Branch two:
% 47.77/17.01  																										| (426)  ~ (all_0_92_92 = e3)
% 47.77/17.01  																										| (570) all_0_93_93 = e3
% 47.77/17.01  																										|
% 47.77/17.01  																											| Equations (570) can reduce 34 to:
% 47.77/17.01  																											| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.01  																											|
% 47.77/17.01  																											+-Applying beta-rule and splitting (27), into two cases.
% 47.77/17.01  																											|-Branch one:
% 47.77/17.01  																											| (746) all_0_90_90 = e2
% 47.77/17.01  																											|
% 47.77/17.01  																												| Equations (746) can reduce 294 to:
% 47.77/17.01  																												| (311) $false
% 47.77/17.01  																												|
% 47.77/17.01  																												|-The branch is then unsatisfiable
% 47.77/17.01  																											|-Branch two:
% 47.77/17.01  																											| (294)  ~ (all_0_90_90 = e2)
% 47.77/17.01  																											| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.77/17.01  																											|
% 47.77/17.01  																												+-Applying beta-rule and splitting (132), into two cases.
% 47.77/17.01  																												|-Branch one:
% 47.77/17.01  																												| (750) all_0_90_90 = e1
% 47.77/17.01  																												|
% 47.77/17.01  																													| Equations (750) can reduce 678 to:
% 47.77/17.01  																													| (311) $false
% 47.77/17.01  																													|
% 47.77/17.01  																													|-The branch is then unsatisfiable
% 47.77/17.01  																												|-Branch two:
% 47.77/17.01  																												| (678)  ~ (all_0_90_90 = e1)
% 47.77/17.01  																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.77/17.01  																												|
% 47.77/17.01  																													+-Applying beta-rule and splitting (749), into two cases.
% 47.77/17.01  																													|-Branch one:
% 47.77/17.01  																													| (750) all_0_90_90 = e1
% 47.77/17.01  																													|
% 47.77/17.01  																														| Equations (750) can reduce 678 to:
% 47.77/17.01  																														| (311) $false
% 47.77/17.01  																														|
% 47.77/17.01  																														|-The branch is then unsatisfiable
% 47.77/17.01  																													|-Branch two:
% 47.77/17.01  																													| (678)  ~ (all_0_90_90 = e1)
% 47.77/17.01  																													| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.77/17.01  																													|
% 47.77/17.01  																														+-Applying beta-rule and splitting (753), into two cases.
% 47.77/17.01  																														|-Branch one:
% 47.77/17.01  																														| (754) all_0_90_90 = e3
% 47.77/17.01  																														|
% 47.77/17.01  																															| Equations (754) can reduce 745 to:
% 47.77/17.01  																															| (311) $false
% 47.77/17.01  																															|
% 47.77/17.01  																															|-The branch is then unsatisfiable
% 47.77/17.01  																														|-Branch two:
% 47.77/17.01  																														| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.01  																														| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.77/17.01  																														|
% 47.77/17.01  																															+-Applying beta-rule and splitting (1526), into two cases.
% 47.77/17.01  																															|-Branch one:
% 47.77/17.01  																															| (801) all_0_91_91 = e1
% 47.77/17.01  																															|
% 47.77/17.01  																																+-Applying beta-rule and splitting (1400), into two cases.
% 47.77/17.01  																																|-Branch one:
% 47.77/17.01  																																| (1456) all_0_91_91 = e0
% 47.77/17.01  																																|
% 47.77/17.01  																																	| Combining equations (801,1456) yields a new equation:
% 47.77/17.01  																																	| (1107) e1 = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Simplifying 1107 yields:
% 47.77/17.01  																																	| (865) e1 = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Equations (865) can reduce 264 to:
% 47.77/17.01  																																	| (311) $false
% 47.77/17.01  																																	|
% 47.77/17.01  																																	|-The branch is then unsatisfiable
% 47.77/17.01  																																|-Branch two:
% 47.77/17.01  																																| (1487)  ~ (all_0_91_91 = e0)
% 47.77/17.01  																																| (1837) all_0_96_96 = e0
% 47.77/17.01  																																|
% 47.77/17.01  																																	| From (1837) and (4960) follows:
% 47.77/17.01  																																	| (2170) op(e2, e0) = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																	+-Applying beta-rule and splitting (291), into two cases.
% 47.77/17.01  																																	|-Branch one:
% 47.77/17.01  																																	| (758) all_0_90_90 = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																		| Equations (758) can reduce 255 to:
% 47.77/17.01  																																		| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.01  																																		|
% 47.77/17.01  																																		| Equations (758) can reduce 294 to:
% 47.77/17.01  																																		| (510)  ~ (e2 = e0)
% 47.77/17.01  																																		|
% 47.77/17.01  																																		| Simplifying 510 yields:
% 47.77/17.01  																																		| (76)  ~ (e2 = e0)
% 47.77/17.01  																																		|
% 47.77/17.01  																																		+-Applying beta-rule and splitting (249), into two cases.
% 47.77/17.01  																																		|-Branch one:
% 47.77/17.01  																																		| (910) all_0_82_82 = e0
% 47.77/17.01  																																		|
% 47.77/17.01  																																			| Equations (910) can reduce 914 to:
% 47.77/17.01  																																			| (311) $false
% 47.77/17.01  																																			|
% 47.77/17.01  																																			|-The branch is then unsatisfiable
% 47.77/17.01  																																		|-Branch two:
% 47.77/17.01  																																		| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.01  																																		| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/17.01  																																		|
% 47.77/17.01  																																			+-Applying beta-rule and splitting (1309), into two cases.
% 47.77/17.01  																																			|-Branch one:
% 47.77/17.01  																																			| (798) all_0_83_83 = e0
% 47.77/17.01  																																			|
% 47.77/17.01  																																				| Combining equations (453,798) yields a new equation:
% 47.77/17.01  																																				| (923) e2 = e0
% 47.77/17.01  																																				|
% 47.77/17.01  																																				| Simplifying 923 yields:
% 47.77/17.01  																																				| (379) e2 = e0
% 47.77/17.01  																																				|
% 47.77/17.01  																																				| Equations (379) can reduce 76 to:
% 47.77/17.01  																																				| (311) $false
% 47.77/17.01  																																				|
% 47.77/17.01  																																				|-The branch is then unsatisfiable
% 47.77/17.01  																																			|-Branch two:
% 47.77/17.01  																																			| (1314)  ~ (all_0_83_83 = e0)
% 47.77/17.01  																																			| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 47.77/17.01  																																			|
% 47.77/17.01  																																				+-Applying beta-rule and splitting (289), into two cases.
% 47.77/17.01  																																				|-Branch one:
% 47.77/17.01  																																				| (954) all_0_85_85 = e0
% 47.77/17.01  																																				|
% 47.77/17.01  																																					| Equations (954) can reduce 515 to:
% 47.77/17.01  																																					| (510)  ~ (e2 = e0)
% 47.77/17.01  																																					|
% 47.77/17.01  																																					| Simplifying 510 yields:
% 47.77/17.01  																																					| (76)  ~ (e2 = e0)
% 47.77/17.01  																																					|
% 47.77/17.01  																																					| Instantiating formula (262) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 47.77/17.01  																																					| (379) e2 = e0
% 47.77/17.01  																																					|
% 47.77/17.01  																																					| Equations (379) can reduce 76 to:
% 47.77/17.01  																																					| (311) $false
% 47.77/17.01  																																					|
% 47.77/17.01  																																					|-The branch is then unsatisfiable
% 47.77/17.01  																																				|-Branch two:
% 47.77/17.01  																																				| (800)  ~ (all_0_85_85 = e0)
% 47.77/17.01  																																				| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.77/17.01  																																				|
% 47.77/17.01  																																					+-Applying beta-rule and splitting (1315), into two cases.
% 47.77/17.01  																																					|-Branch one:
% 47.77/17.01  																																					| (916) all_0_84_84 = e0
% 47.77/17.01  																																					|
% 47.77/17.01  																																						| Equations (916) can reduce 919 to:
% 47.77/17.01  																																						| (311) $false
% 47.77/17.01  																																						|
% 47.77/17.01  																																						|-The branch is then unsatisfiable
% 47.77/17.01  																																					|-Branch two:
% 47.77/17.01  																																					| (919)  ~ (all_0_84_84 = e0)
% 47.77/17.01  																																					| (954) all_0_85_85 = e0
% 47.77/17.01  																																					|
% 47.77/17.01  																																						| Equations (954) can reduce 800 to:
% 47.77/17.01  																																						| (311) $false
% 47.77/17.01  																																						|
% 47.77/17.01  																																						|-The branch is then unsatisfiable
% 47.77/17.01  																																	|-Branch two:
% 47.77/17.01  																																	| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.01  																																	| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.77/17.01  																																	|
% 47.77/17.01  																																		+-Applying beta-rule and splitting (757), into two cases.
% 47.77/17.01  																																		|-Branch one:
% 47.77/17.01  																																		| (758) all_0_90_90 = e0
% 47.77/17.01  																																		|
% 47.77/17.01  																																			| Equations (758) can reduce 762 to:
% 47.77/17.01  																																			| (311) $false
% 47.77/17.01  																																			|
% 47.77/17.01  																																			|-The branch is then unsatisfiable
% 47.77/17.01  																																		|-Branch two:
% 47.77/17.01  																																		| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.01  																																		| (583) all_0_90_90 = e4
% 47.77/17.01  																																		|
% 47.77/17.01  																																			| Equations (583) can reduce 467 to:
% 47.77/17.01  																																			| (311) $false
% 47.77/17.01  																																			|
% 47.77/17.01  																																			|-The branch is then unsatisfiable
% 47.77/17.01  																															|-Branch two:
% 47.77/17.01  																															| (959)  ~ (all_0_91_91 = e1)
% 47.77/17.01  																															| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.77/17.01  																															|
% 47.77/17.01  																																+-Applying beta-rule and splitting (1556), into two cases.
% 47.77/17.01  																																|-Branch one:
% 47.77/17.01  																																| (836) all_0_92_92 = e1
% 47.77/17.01  																																|
% 47.77/17.01  																																	| Combining equations (1343,836) yields a new equation:
% 47.77/17.01  																																	| (408) e2 = e1
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Simplifying 408 yields:
% 47.77/17.01  																																	| (385) e2 = e1
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Equations (385) can reduce 243 to:
% 47.77/17.01  																																	| (311) $false
% 47.77/17.01  																																	|
% 47.77/17.01  																																	|-The branch is then unsatisfiable
% 47.77/17.01  																																|-Branch two:
% 47.77/17.01  																																| (840)  ~ (all_0_92_92 = e1)
% 47.77/17.01  																																| (566) all_0_93_93 = e1
% 47.77/17.01  																																|
% 47.77/17.01  																																	| Combining equations (570,566) yields a new equation:
% 47.77/17.01  																																	| (825) e3 = e1
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Simplifying 825 yields:
% 47.77/17.01  																																	| (772) e3 = e1
% 47.77/17.01  																																	|
% 47.77/17.01  																																	| Equations (772) can reduce 20 to:
% 47.77/17.01  																																	| (311) $false
% 47.77/17.01  																																	|
% 47.77/17.01  																																	|-The branch is then unsatisfiable
% 47.77/17.01  																	|-Branch two:
% 47.77/17.01  																	| (298)  ~ (all_0_92_92 = e2)
% 47.77/17.01  																	| (538) all_0_97_97 = e2
% 47.77/17.01  																	|
% 47.77/17.01  																		| Equations (538) can reduce 527 to:
% 47.77/17.01  																		| (311) $false
% 47.77/17.01  																		|
% 47.77/17.01  																		|-The branch is then unsatisfiable
% 47.77/17.01  													|-Branch two:
% 47.77/17.01  													| (346)  ~ (all_0_78_78 = e2)
% 47.77/17.01  													| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.77/17.01  													|
% 47.77/17.01  														+-Applying beta-rule and splitting (101), into two cases.
% 47.77/17.01  														|-Branch one:
% 47.77/17.01  														| (400) all_0_78_78 = e2
% 47.77/17.01  														|
% 47.77/17.01  															| Equations (400) can reduce 346 to:
% 47.77/17.01  															| (311) $false
% 47.77/17.01  															|
% 47.77/17.01  															|-The branch is then unsatisfiable
% 47.77/17.01  														|-Branch two:
% 47.77/17.01  														| (346)  ~ (all_0_78_78 = e2)
% 47.77/17.01  														| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 47.77/17.01  														|
% 47.77/17.01  															+-Applying beta-rule and splitting (403), into two cases.
% 47.77/17.01  															|-Branch one:
% 47.77/17.01  															| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.77/17.01  															|
% 47.77/17.01  																+-Applying beta-rule and splitting (404), into two cases.
% 47.77/17.01  																|-Branch one:
% 47.77/17.01  																| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.77/17.01  																|
% 47.77/17.01  																	| Applying alpha-rule on (405) yields:
% 47.77/17.01  																	| (406) all_0_39_39 = e1
% 47.77/17.01  																	| (407)  ~ (all_0_40_40 = e4)
% 47.77/17.01  																	|
% 47.77/17.01  																	| Combining equations (406,30566) yields a new equation:
% 47.77/17.01  																	| (1107) e1 = e0
% 47.77/17.01  																	|
% 47.77/17.01  																	| Simplifying 1107 yields:
% 47.77/17.01  																	| (865) e1 = e0
% 47.77/17.01  																	|
% 47.77/17.01  																	| Equations (865) can reduce 264 to:
% 47.77/17.01  																	| (311) $false
% 47.77/17.01  																	|
% 47.77/17.01  																	|-The branch is then unsatisfiable
% 47.77/17.01  																|-Branch two:
% 47.77/17.01  																| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.77/17.01  																|
% 47.77/17.01  																	| Applying alpha-rule on (411) yields:
% 47.77/17.01  																	| (337) all_0_41_41 = e0
% 47.77/17.01  																	| (413)  ~ (all_0_42_42 = e4)
% 47.77/17.01  																	|
% 47.77/17.01  																	| Combining equations (30560,337) yields a new equation:
% 47.77/17.02  																	| (37985) all_0_79_79 = e0
% 47.77/17.02  																	|
% 47.77/17.02  																	| Simplifying 37985 yields:
% 47.77/17.02  																	| (37986) all_0_79_79 = e0
% 47.77/17.02  																	|
% 47.77/17.02  																	| Equations (37986) can reduce 9 to:
% 47.77/17.02  																	| (311) $false
% 47.77/17.02  																	|
% 47.77/17.02  																	|-The branch is then unsatisfiable
% 47.77/17.02  															|-Branch two:
% 47.77/17.02  															| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.77/17.02  															|
% 47.77/17.02  																| Applying alpha-rule on (415) yields:
% 47.77/17.02  																| (416) all_0_80_80 = e3
% 47.77/17.02  																| (417)  ~ (all_0_84_84 = e4)
% 47.77/17.02  																|
% 47.77/17.02  																| Equations (416) can reduce 63 to:
% 47.77/17.02  																| (1711)  ~ (all_0_79_79 = e3)
% 47.77/17.02  																|
% 47.77/17.02  																+-Applying beta-rule and splitting (1623), into two cases.
% 47.77/17.02  																|-Branch one:
% 47.77/17.02  																| (457) all_0_79_79 = e1
% 47.77/17.02  																|
% 47.77/17.02  																	| Equations (457) can reduce 1622 to:
% 47.77/17.02  																	| (487)  ~ (e2 = e1)
% 47.77/17.02  																	|
% 47.77/17.02  																	| Simplifying 487 yields:
% 47.77/17.02  																	| (243)  ~ (e2 = e1)
% 47.77/17.02  																	|
% 47.77/17.02  																	+-Applying beta-rule and splitting (192), into two cases.
% 47.77/17.02  																	|-Branch one:
% 47.77/17.02  																	| (546) all_0_80_80 = e2
% 47.77/17.02  																	|
% 47.77/17.02  																		| Combining equations (416,546) yields a new equation:
% 47.77/17.02  																		| (547) e3 = e2
% 47.77/17.02  																		|
% 47.77/17.02  																		| Simplifying 547 yields:
% 47.77/17.02  																		| (548) e3 = e2
% 47.77/17.02  																		|
% 47.77/17.02  																		| Equations (548) can reduce 169 to:
% 47.77/17.02  																		| (311) $false
% 47.77/17.02  																		|
% 47.77/17.02  																		|-The branch is then unsatisfiable
% 47.77/17.02  																	|-Branch two:
% 47.77/17.02  																	| (394)  ~ (all_0_80_80 = e2)
% 47.77/17.02  																	| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 47.77/17.02  																	|
% 47.77/17.02  																		| Equations (416) can reduce 394 to:
% 47.77/17.02  																		| (169)  ~ (e3 = e2)
% 47.77/17.02  																		|
% 47.77/17.02  																		+-Applying beta-rule and splitting (1658), into two cases.
% 47.77/17.02  																		|-Branch one:
% 47.77/17.02  																		| (390) all_0_79_79 = e2
% 47.77/17.02  																		|
% 47.77/17.02  																			| Combining equations (457,390) yields a new equation:
% 47.77/17.02  																			| (385) e2 = e1
% 47.77/17.02  																			|
% 47.77/17.02  																			| Equations (385) can reduce 243 to:
% 47.77/17.02  																			| (311) $false
% 47.77/17.02  																			|
% 47.77/17.02  																			|-The branch is then unsatisfiable
% 47.77/17.02  																		|-Branch two:
% 47.77/17.02  																		| (1622)  ~ (all_0_79_79 = e2)
% 47.77/17.02  																		| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 47.77/17.02  																		|
% 47.77/17.02  																			+-Applying beta-rule and splitting (123), into two cases.
% 47.77/17.02  																			|-Branch one:
% 47.77/17.02  																			| (473) all_0_81_81 = e2
% 47.77/17.02  																			|
% 47.77/17.02  																				| Equations (473) can reduce 396 to:
% 47.77/17.02  																				| (311) $false
% 47.77/17.02  																				|
% 47.77/17.02  																				|-The branch is then unsatisfiable
% 47.77/17.02  																			|-Branch two:
% 47.77/17.02  																			| (396)  ~ (all_0_81_81 = e2)
% 47.77/17.02  																			| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.77/17.02  																			|
% 47.77/17.02  																				+-Applying beta-rule and splitting (3249), into two cases.
% 47.77/17.02  																				|-Branch one:
% 47.77/17.02  																				| (546) all_0_80_80 = e2
% 47.77/17.02  																				|
% 47.77/17.02  																					| Combining equations (416,546) yields a new equation:
% 47.77/17.02  																					| (547) e3 = e2
% 47.77/17.02  																					|
% 47.77/17.02  																					| Simplifying 547 yields:
% 47.77/17.02  																					| (548) e3 = e2
% 47.77/17.02  																					|
% 47.77/17.02  																					| Equations (548) can reduce 169 to:
% 47.77/17.02  																					| (311) $false
% 47.77/17.02  																					|
% 47.77/17.02  																					|-The branch is then unsatisfiable
% 47.77/17.02  																				|-Branch two:
% 47.77/17.02  																				| (394)  ~ (all_0_80_80 = e2)
% 47.77/17.02  																				| (473) all_0_81_81 = e2
% 47.77/17.02  																				|
% 47.77/17.02  																					| Equations (473) can reduce 396 to:
% 47.77/17.02  																					| (311) $false
% 47.77/17.02  																					|
% 47.77/17.02  																					|-The branch is then unsatisfiable
% 47.77/17.02  																|-Branch two:
% 47.77/17.02  																| (461)  ~ (all_0_79_79 = e1)
% 47.77/17.02  																| (1708) all_0_79_79 = e3
% 47.77/17.02  																|
% 47.77/17.02  																	| Equations (1708) can reduce 1711 to:
% 47.77/17.02  																	| (311) $false
% 47.77/17.02  																	|
% 47.77/17.02  																	|-The branch is then unsatisfiable
% 47.77/17.02  											|-Branch two:
% 47.77/17.02  											| (398)  ~ (all_0_83_83 = e2)
% 47.77/17.02  											| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 47.77/17.02  											|
% 47.77/17.02  												+-Applying beta-rule and splitting (1627), into two cases.
% 47.77/17.02  												|-Branch one:
% 47.77/17.02  												| (453) all_0_83_83 = e2
% 47.77/17.02  												|
% 47.77/17.02  													| Equations (453) can reduce 398 to:
% 47.77/17.02  													| (311) $false
% 47.77/17.02  													|
% 47.77/17.02  													|-The branch is then unsatisfiable
% 47.77/17.02  												|-Branch two:
% 47.77/17.02  												| (398)  ~ (all_0_83_83 = e2)
% 47.77/17.02  												| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 47.77/17.02  												|
% 47.77/17.02  													+-Applying beta-rule and splitting (8061), into two cases.
% 47.77/17.02  													|-Branch one:
% 47.77/17.02  													| (1723) all_0_91_91 = e2
% 47.77/17.02  													|
% 47.77/17.02  														| Equations (1723) can reduce 44 to:
% 47.77/17.02  														| (299)  ~ (all_0_93_93 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| Simplifying 299 yields:
% 47.77/17.02  														| (300)  ~ (all_0_93_93 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| Equations (1723) can reduce 64 to:
% 47.77/17.02  														| (1637)  ~ (all_0_96_96 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| Simplifying 1637 yields:
% 47.77/17.02  														| (1638)  ~ (all_0_96_96 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| Equations (1723) can reduce 133 to:
% 47.77/17.02  														| (528)  ~ (e4 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| Simplifying 528 yields:
% 47.77/17.02  														| (79)  ~ (e4 = e2)
% 47.77/17.02  														|
% 47.77/17.02  														| From (1723) and (222) follows:
% 47.77/17.02  														| (37229) op(e2, e2) = all_0_56_56
% 47.77/17.02  														|
% 47.77/17.02  														| From (1723) and (51) follows:
% 47.77/17.02  														| (42295) op(e1, e2) = all_0_57_57
% 47.77/17.02  														|
% 47.77/17.02  														| From (1723) and (3) follows:
% 47.77/17.02  														| (32445) op(e1, e2) = e2
% 47.77/17.02  														|
% 47.77/17.02  														| Instantiating formula (262) with e2, e2, all_0_56_56, e4 and discharging atoms op(e2, e2) = all_0_56_56, op(e2, e2) = e4, yields:
% 47.77/17.03  														| (37236) all_0_56_56 = e4
% 47.77/17.03  														|
% 47.77/17.03  														| Instantiating formula (262) with e1, e2, e2, all_0_57_57 and discharging atoms op(e1, e2) = all_0_57_57, op(e1, e2) = e2, yields:
% 47.77/17.03  														| (32427) all_0_57_57 = e2
% 47.77/17.03  														|
% 47.77/17.03  														| From (32427) and (42295) follows:
% 47.77/17.03  														| (32445) op(e1, e2) = e2
% 47.77/17.03  														|
% 47.77/17.03  														+-Applying beta-rule and splitting (219), into two cases.
% 47.77/17.03  														|-Branch one:
% 47.77/17.03  														| (798) all_0_83_83 = e0
% 47.77/17.03  														|
% 47.77/17.03  															| Equations (798) can reduce 272 to:
% 47.77/17.03  															| (9)  ~ (all_0_79_79 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Equations (798) can reduce 116 to:
% 47.77/17.03  															| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Equations (798) can reduce 226 to:
% 47.77/17.03  															| (799)  ~ (all_0_85_85 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Simplifying 799 yields:
% 47.77/17.03  															| (800)  ~ (all_0_85_85 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Equations (798) can reduce 211 to:
% 47.77/17.03  															| (2296)  ~ (all_0_96_96 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Simplifying 2296 yields:
% 47.77/17.03  															| (2095)  ~ (all_0_96_96 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Equations (798) can reduce 155 to:
% 47.77/17.03  															| (904)  ~ (e4 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Simplifying 904 yields:
% 47.77/17.03  															| (23)  ~ (e4 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Equations (798) can reduce 113 to:
% 47.77/17.03  															| (859)  ~ (e1 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| Simplifying 859 yields:
% 47.77/17.03  															| (264)  ~ (e1 = e0)
% 47.77/17.03  															|
% 47.77/17.03  															| From (798) and (206) follows:
% 47.77/17.03  															| (8092) op(e2, e0) = all_0_54_54
% 47.77/17.03  															|
% 47.77/17.03  															| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 47.77/17.03  															| (8281) all_0_54_54 = e2
% 47.77/17.03  															|
% 47.77/17.03  															+-Applying beta-rule and splitting (127), into two cases.
% 47.77/17.03  															|-Branch one:
% 47.77/17.03  															| (457) all_0_79_79 = e1
% 47.77/17.03  															|
% 47.77/17.03  																| Equations (457) can reduce 214 to:
% 47.77/17.03  																| (1671)  ~ (all_0_96_96 = e1)
% 47.77/17.03  																|
% 47.77/17.03  																| Simplifying 1671 yields:
% 47.77/17.03  																| (1479)  ~ (all_0_96_96 = e1)
% 47.77/17.03  																|
% 47.77/17.03  																| Equations (457) can reduce 235 to:
% 47.77/17.03  																| (681)  ~ (e4 = e1)
% 47.77/17.03  																|
% 47.77/17.03  																| Simplifying 681 yields:
% 47.77/17.03  																| (256)  ~ (e4 = e1)
% 47.77/17.03  																|
% 47.77/17.03  																| Equations (457) can reduce 9 to:
% 47.77/17.03  																| (264)  ~ (e1 = e0)
% 47.77/17.03  																|
% 47.77/17.03  																| From (457) and (184) follows:
% 47.77/17.03  																| (1679) op(e2, e1) = all_0_52_52
% 47.77/17.03  																|
% 47.77/17.03  																+-Applying beta-rule and splitting (84), into two cases.
% 47.77/17.03  																|-Branch one:
% 47.77/17.03  																| (1704) all_0_96_96 = e2
% 47.77/17.03  																|
% 47.77/17.03  																	| Equations (1704) can reduce 1638 to:
% 47.77/17.03  																	| (311) $false
% 47.77/17.03  																	|
% 47.77/17.03  																	|-The branch is then unsatisfiable
% 47.77/17.03  																|-Branch two:
% 47.77/17.03  																| (1638)  ~ (all_0_96_96 = e2)
% 47.77/17.03  																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.77/17.03  																|
% 47.77/17.03  																	+-Applying beta-rule and splitting (1707), into two cases.
% 47.77/17.03  																	|-Branch one:
% 47.77/17.03  																	| (960) all_0_96_96 = e1
% 47.77/17.03  																	|
% 47.77/17.03  																		| Equations (960) can reduce 1479 to:
% 47.77/17.03  																		| (311) $false
% 47.77/17.03  																		|
% 47.77/17.03  																		|-The branch is then unsatisfiable
% 47.77/17.03  																	|-Branch two:
% 47.77/17.03  																	| (1479)  ~ (all_0_96_96 = e1)
% 47.77/17.03  																	| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.77/17.03  																	|
% 47.77/17.03  																		+-Applying beta-rule and splitting (2016), into two cases.
% 47.77/17.03  																		|-Branch one:
% 47.77/17.03  																		| (778) all_0_96_96 = e3
% 47.77/17.03  																		|
% 47.77/17.03  																			| Equations (778) can reduce 1638 to:
% 47.77/17.03  																			| (169)  ~ (e3 = e2)
% 47.77/17.03  																			|
% 47.77/17.03  																			| From (778) and (212) follows:
% 47.77/17.03  																			| (10599) op(e2, e3) = all_0_58_58
% 47.77/17.03  																			|
% 47.77/17.03  																			| Instantiating formula (262) with e2, e3, all_0_58_58, e1 and discharging atoms op(e2, e3) = all_0_58_58, op(e2, e3) = e1, yields:
% 47.77/17.03  																			| (10941) all_0_58_58 = e1
% 47.77/17.03  																			|
% 47.77/17.03  																			| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 47.77/17.03  																			| (11070) all_0_52_52 = e0
% 47.77/17.03  																			|
% 47.77/17.03  																			+-Applying beta-rule and splitting (33), into two cases.
% 47.77/17.03  																			|-Branch one:
% 47.77/17.03  																			| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.77/17.03  																			|
% 47.77/17.03  																				+-Applying beta-rule and splitting (1686), into two cases.
% 47.77/17.03  																				|-Branch one:
% 47.77/17.03  																				| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.77/17.03  																				|
% 47.77/17.03  																					+-Applying beta-rule and splitting (1687), into two cases.
% 47.77/17.03  																					|-Branch one:
% 47.77/17.03  																					| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.77/17.03  																					|
% 47.77/17.03  																						| Applying alpha-rule on (1688) yields:
% 47.77/17.03  																						| (1689) all_0_52_52 = e4
% 47.77/17.03  																						| (1690)  ~ (all_0_53_53 = e2)
% 47.77/17.03  																						|
% 47.77/17.03  																						| Combining equations (11070,1689) yields a new equation:
% 47.77/17.03  																						| (912) e4 = e0
% 47.77/17.03  																						|
% 47.77/17.03  																						| Equations (912) can reduce 23 to:
% 47.77/17.03  																						| (311) $false
% 47.77/17.03  																						|
% 47.77/17.03  																						|-The branch is then unsatisfiable
% 47.77/17.03  																					|-Branch two:
% 47.77/17.03  																					| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.77/17.03  																					|
% 47.77/17.03  																						| Applying alpha-rule on (1694) yields:
% 47.77/17.03  																						| (1695) all_0_54_54 = e3
% 47.77/17.03  																						| (1696)  ~ (all_0_55_55 = e2)
% 47.77/17.03  																						|
% 47.77/17.03  																						| Combining equations (1695,8281) yields a new equation:
% 47.77/17.03  																						| (547) e3 = e2
% 47.77/17.03  																						|
% 47.77/17.03  																						| Simplifying 547 yields:
% 47.77/17.03  																						| (548) e3 = e2
% 47.77/17.03  																						|
% 47.77/17.03  																						| Equations (548) can reduce 169 to:
% 47.77/17.03  																						| (311) $false
% 47.77/17.03  																						|
% 47.77/17.03  																						|-The branch is then unsatisfiable
% 47.77/17.03  																				|-Branch two:
% 47.77/17.03  																				| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.77/17.03  																				|
% 47.77/17.03  																					| Applying alpha-rule on (1700) yields:
% 47.77/17.03  																					| (1701) all_0_56_56 = e1
% 47.77/17.03  																					| (1702)  ~ (all_0_57_57 = e2)
% 47.77/17.03  																					|
% 47.77/17.03  																					| Combining equations (1701,37236) yields a new equation:
% 47.77/17.03  																					| (814) e4 = e1
% 47.77/17.03  																					|
% 47.77/17.03  																					| Equations (814) can reduce 256 to:
% 47.77/17.03  																					| (311) $false
% 47.77/17.03  																					|
% 47.77/17.03  																					|-The branch is then unsatisfiable
% 47.77/17.03  																			|-Branch two:
% 47.77/17.03  																			| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.77/17.03  																			|
% 47.77/17.03  																				| Applying alpha-rule on (4957) yields:
% 47.77/17.03  																				| (4958) all_0_58_58 = e0
% 47.77/17.03  																				| (4959)  ~ (all_0_59_59 = e2)
% 47.77/17.03  																				|
% 47.77/17.04  																				| Combining equations (10941,4958) yields a new equation:
% 47.77/17.04  																				| (1107) e1 = e0
% 47.77/17.04  																				|
% 47.77/17.04  																				| Simplifying 1107 yields:
% 47.77/17.04  																				| (865) e1 = e0
% 47.77/17.04  																				|
% 47.77/17.04  																				| Equations (865) can reduce 264 to:
% 47.77/17.04  																				| (311) $false
% 47.77/17.04  																				|
% 47.77/17.04  																				|-The branch is then unsatisfiable
% 47.77/17.04  																		|-Branch two:
% 47.77/17.04  																		| (964)  ~ (all_0_96_96 = e3)
% 47.77/17.04  																		| (1837) all_0_96_96 = e0
% 47.77/17.04  																		|
% 47.77/17.04  																			| Equations (1837) can reduce 2095 to:
% 47.77/17.04  																			| (311) $false
% 47.77/17.04  																			|
% 47.77/17.04  																			|-The branch is then unsatisfiable
% 47.77/17.04  															|-Branch two:
% 47.77/17.04  															| (461)  ~ (all_0_79_79 = e1)
% 47.77/17.04  															| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.77/17.04  															|
% 47.77/17.04  																+-Applying beta-rule and splitting (1623), into two cases.
% 47.77/17.04  																|-Branch one:
% 47.77/17.04  																| (457) all_0_79_79 = e1
% 47.77/17.04  																|
% 47.77/17.04  																	| Equations (457) can reduce 461 to:
% 47.77/17.04  																	| (311) $false
% 47.77/17.04  																	|
% 47.77/17.04  																	|-The branch is then unsatisfiable
% 47.77/17.04  																|-Branch two:
% 47.77/17.04  																| (461)  ~ (all_0_79_79 = e1)
% 47.77/17.04  																| (1708) all_0_79_79 = e3
% 47.77/17.04  																|
% 47.77/17.04  																	| Combining equations (1708,30560) yields a new equation:
% 47.77/17.04  																	| (41164) all_0_41_41 = e3
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 66 to:
% 47.77/17.04  																	| (418)  ~ (all_0_78_78 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 63 to:
% 47.77/17.04  																	| (3267)  ~ (all_0_80_80 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Simplifying 3267 yields:
% 47.77/17.04  																	| (2347)  ~ (all_0_80_80 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 15 to:
% 47.77/17.04  																	| (419)  ~ (all_0_81_81 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Simplifying 419 yields:
% 47.77/17.04  																	| (420)  ~ (all_0_81_81 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 214 to:
% 47.77/17.04  																	| (1300)  ~ (all_0_96_96 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Simplifying 1300 yields:
% 47.77/17.04  																	| (964)  ~ (all_0_96_96 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 235 to:
% 47.77/17.04  																	| (783)  ~ (e4 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Simplifying 783 yields:
% 47.77/17.04  																	| (177)  ~ (e4 = e3)
% 47.77/17.04  																	|
% 47.77/17.04  																	| Equations (1708) can reduce 9 to:
% 47.77/17.04  																	| (50)  ~ (e3 = e0)
% 47.77/17.04  																	|
% 47.77/17.04  																	+-Applying beta-rule and splitting (70), into two cases.
% 47.77/17.04  																	|-Branch one:
% 47.77/17.04  																	| (400) all_0_78_78 = e2
% 47.77/17.04  																	|
% 47.77/17.04  																		| Equations (400) can reduce 278 to:
% 47.77/17.04  																		| (395)  ~ (all_0_81_81 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Simplifying 395 yields:
% 47.77/17.04  																		| (396)  ~ (all_0_81_81 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Equations (400) can reduce 193 to:
% 47.77/17.04  																		| (9974)  ~ (all_0_82_82 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Simplifying 9974 yields:
% 47.77/17.04  																		| (347)  ~ (all_0_82_82 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Equations (400) can reduce 85 to:
% 47.77/17.04  																		| (293)  ~ (all_0_90_90 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Simplifying 293 yields:
% 47.77/17.04  																		| (294)  ~ (all_0_90_90 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Equations (400) can reduce 125 to:
% 47.77/17.04  																		| (354)  ~ (all_0_95_95 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Simplifying 354 yields:
% 47.77/17.04  																		| (355)  ~ (all_0_95_95 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Equations (400) can reduce 418 to:
% 47.77/17.04  																		| (356)  ~ (e3 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Simplifying 356 yields:
% 47.77/17.04  																		| (169)  ~ (e3 = e2)
% 47.77/17.04  																		|
% 47.77/17.04  																		| Equations (400) can reduce 86 to:
% 47.77/17.04  																		| (76)  ~ (e2 = e0)
% 47.77/17.04  																		|
% 47.77/17.04  																		+-Applying beta-rule and splitting (41), into two cases.
% 47.77/17.04  																		|-Branch one:
% 47.77/17.04  																		| (530) all_0_82_82 = e2
% 47.77/17.04  																		|
% 47.77/17.04  																			| Equations (530) can reduce 347 to:
% 47.77/17.04  																			| (311) $false
% 47.77/17.04  																			|
% 47.77/17.04  																			|-The branch is then unsatisfiable
% 47.77/17.04  																		|-Branch two:
% 47.77/17.04  																		| (347)  ~ (all_0_82_82 = e2)
% 47.77/17.04  																		| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 47.77/17.04  																		|
% 47.77/17.04  																			+-Applying beta-rule and splitting (533), into two cases.
% 47.77/17.04  																			|-Branch one:
% 47.77/17.04  																			| (453) all_0_83_83 = e2
% 47.77/17.04  																			|
% 47.77/17.04  																				| Combining equations (453,798) yields a new equation:
% 47.77/17.04  																				| (923) e2 = e0
% 47.77/17.04  																				|
% 47.77/17.04  																				| Simplifying 923 yields:
% 47.77/17.04  																				| (379) e2 = e0
% 47.77/17.04  																				|
% 47.77/17.04  																				| Equations (379) can reduce 76 to:
% 47.77/17.04  																				| (311) $false
% 47.77/17.04  																				|
% 47.77/17.04  																				|-The branch is then unsatisfiable
% 47.77/17.04  																			|-Branch two:
% 47.77/17.04  																			| (398)  ~ (all_0_83_83 = e2)
% 47.77/17.04  																			| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 47.77/17.04  																			|
% 47.77/17.04  																				+-Applying beta-rule and splitting (537), into two cases.
% 47.77/17.04  																				|-Branch one:
% 47.77/17.04  																				| (552) all_0_84_84 = e2
% 47.77/17.04  																				|
% 47.77/17.04  																					| Equations (552) can reduce 273 to:
% 47.77/17.04  																					| (394)  ~ (all_0_80_80 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Equations (552) can reduce 154 to:
% 47.77/17.04  																					| (691)  ~ (all_0_85_85 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Simplifying 691 yields:
% 47.77/17.04  																					| (515)  ~ (all_0_85_85 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Equations (552) can reduce 87 to:
% 47.77/17.04  																					| (297)  ~ (all_0_92_92 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Simplifying 297 yields:
% 47.77/17.04  																					| (298)  ~ (all_0_92_92 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Equations (552) can reduce 195 to:
% 47.77/17.04  																					| (2376)  ~ (all_0_97_97 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| Simplifying 2376 yields:
% 47.77/17.04  																					| (527)  ~ (all_0_97_97 = e2)
% 47.77/17.04  																					|
% 47.77/17.04  																					| From (552) and (122) follows:
% 47.77/17.04  																					| (555) op(e1, e2) = all_0_62_62
% 47.77/17.04  																					|
% 47.77/17.04  																					+-Applying beta-rule and splitting (84), into two cases.
% 47.77/17.04  																					|-Branch one:
% 47.77/17.04  																					| (1704) all_0_96_96 = e2
% 47.77/17.04  																					|
% 47.77/17.04  																						| Equations (1704) can reduce 1638 to:
% 47.77/17.04  																						| (311) $false
% 47.77/17.04  																						|
% 47.77/17.04  																						|-The branch is then unsatisfiable
% 47.77/17.04  																					|-Branch two:
% 47.77/17.04  																					| (1638)  ~ (all_0_96_96 = e2)
% 47.77/17.04  																					| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.77/17.04  																					|
% 47.77/17.04  																						+-Applying beta-rule and splitting (1707), into two cases.
% 47.77/17.04  																						|-Branch one:
% 47.77/17.04  																						| (960) all_0_96_96 = e1
% 47.77/17.04  																						|
% 47.77/17.04  																							| Combining equations (960,18823) yields a new equation:
% 47.77/17.04  																							| (2602) all_0_73_73 = e1
% 47.77/17.04  																							|
% 47.77/17.04  																							| Equations (960) can reduce 279 to:
% 47.77/17.04  																							| (680)  ~ (all_0_95_95 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Equations (960) can reduce 22 to:
% 47.77/17.04  																							| (485)  ~ (all_0_97_97 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Simplifying 485 yields:
% 47.77/17.04  																							| (486)  ~ (all_0_97_97 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Equations (960) can reduce 964 to:
% 47.77/17.04  																							| (683)  ~ (e3 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Simplifying 683 yields:
% 47.77/17.04  																							| (20)  ~ (e3 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Equations (960) can reduce 1638 to:
% 47.77/17.04  																							| (487)  ~ (e2 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Simplifying 487 yields:
% 47.77/17.04  																							| (243)  ~ (e2 = e1)
% 47.77/17.04  																							|
% 47.77/17.04  																							| Equations (960) can reduce 2095 to:
% 47.77/17.04  																							| (264)  ~ (e1 = e0)
% 47.77/17.04  																							|
% 47.77/17.04  																							| From (960) and (268) follows:
% 47.77/17.04  																							| (19923) op(e0, e1) = all_0_59_59
% 47.77/17.04  																							|
% 47.77/17.04  																							| Instantiating formula (262) with e1, e2, all_0_62_62, e2 and discharging atoms op(e1, e2) = all_0_62_62, op(e1, e2) = e2, yields:
% 47.77/17.04  																							| (9103) all_0_62_62 = e2
% 47.77/17.04  																							|
% 47.77/17.04  																							| Instantiating formula (262) with e0, e1, all_0_59_59, all_0_97_97 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = all_0_97_97, yields:
% 47.77/17.04  																							| (44800) all_0_59_59 = all_0_97_97
% 47.77/17.04  																							|
% 47.77/17.04  																							| From (44800) and (19923) follows:
% 47.77/17.05  																							| (147) op(e0, e1) = all_0_97_97
% 47.77/17.05  																							|
% 47.77/17.05  																							+-Applying beta-rule and splitting (56), into two cases.
% 47.77/17.05  																							|-Branch one:
% 47.77/17.05  																							| (463) all_0_78_78 = e4
% 47.77/17.05  																							|
% 47.77/17.05  																								| Combining equations (400,463) yields a new equation:
% 47.77/17.05  																								| (310) e4 = e2
% 47.77/17.05  																								|
% 47.77/17.05  																								| Equations (310) can reduce 79 to:
% 47.77/17.05  																								| (311) $false
% 47.77/17.05  																								|
% 47.77/17.05  																								|-The branch is then unsatisfiable
% 47.77/17.05  																							|-Branch two:
% 47.77/17.05  																							| (640)  ~ (all_0_78_78 = e4)
% 47.77/17.05  																							| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.77/17.05  																							|
% 47.77/17.05  																								| Equations (400) can reduce 640 to:
% 47.77/17.05  																								| (528)  ~ (e4 = e2)
% 47.77/17.05  																								|
% 47.77/17.05  																								| Simplifying 528 yields:
% 47.77/17.05  																								| (79)  ~ (e4 = e2)
% 47.77/17.05  																								|
% 47.77/17.05  																								+-Applying beta-rule and splitting (109), into two cases.
% 47.77/17.05  																								|-Branch one:
% 47.77/17.05  																								| (469) all_0_82_82 = e4
% 47.77/17.05  																								|
% 47.77/17.05  																									| Equations (469) can reduce 209 to:
% 47.77/17.05  																									| (647)  ~ (all_0_85_85 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Simplifying 647 yields:
% 47.77/17.05  																									| (648)  ~ (all_0_85_85 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Equations (469) can reduce 255 to:
% 47.77/17.05  																									| (466)  ~ (all_0_90_90 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Simplifying 466 yields:
% 47.77/17.05  																									| (467)  ~ (all_0_90_90 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Equations (469) can reduce 200 to:
% 47.77/17.05  																									| (314)  ~ (all_0_95_95 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Simplifying 314 yields:
% 47.77/17.05  																									| (315)  ~ (all_0_95_95 = e4)
% 47.77/17.05  																									|
% 47.77/17.05  																									| Equations (469) can reduce 914 to:
% 47.77/17.05  																									| (23)  ~ (e4 = e0)
% 47.77/17.05  																									|
% 47.77/17.05  																									+-Applying beta-rule and splitting (171), into two cases.
% 47.77/17.05  																									|-Branch one:
% 47.77/17.05  																									| (789) all_0_82_82 = e3
% 47.77/17.05  																									|
% 47.77/17.05  																										| Combining equations (469,789) yields a new equation:
% 47.77/17.05  																										| (790) e4 = e3
% 47.77/17.05  																										|
% 47.77/17.05  																										| Simplifying 790 yields:
% 47.77/17.05  																										| (434) e4 = e3
% 47.77/17.05  																										|
% 47.77/17.05  																										| Equations (434) can reduce 177 to:
% 47.77/17.05  																										| (311) $false
% 47.77/17.05  																										|
% 47.77/17.05  																										|-The branch is then unsatisfiable
% 47.77/17.05  																									|-Branch two:
% 47.77/17.05  																									| (793)  ~ (all_0_82_82 = e3)
% 47.77/17.05  																									| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 47.77/17.05  																									|
% 47.77/17.05  																										+-Applying beta-rule and splitting (1296), into two cases.
% 47.77/17.05  																										|-Branch one:
% 47.77/17.05  																										| (795) all_0_83_83 = e3
% 47.77/17.05  																										|
% 47.77/17.05  																											| Combining equations (798,795) yields a new equation:
% 47.77/17.05  																											| (600) e3 = e0
% 47.77/17.05  																											|
% 47.77/17.05  																											| Equations (600) can reduce 50 to:
% 47.77/17.05  																											| (311) $false
% 47.77/17.05  																											|
% 47.77/17.05  																											|-The branch is then unsatisfiable
% 47.77/17.05  																										|-Branch two:
% 47.77/17.05  																										| (779)  ~ (all_0_83_83 = e3)
% 47.77/17.05  																										| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 47.77/17.05  																										|
% 47.77/17.05  																											+-Applying beta-rule and splitting (1594), into two cases.
% 47.77/17.05  																											|-Branch one:
% 47.77/17.05  																											| (1265) all_0_84_84 = e3
% 47.77/17.05  																											|
% 47.77/17.05  																												| Combining equations (552,1265) yields a new equation:
% 47.77/17.05  																												| (548) e3 = e2
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (548) can reduce 169 to:
% 47.77/17.05  																												| (311) $false
% 47.77/17.05  																												|
% 47.77/17.05  																												|-The branch is then unsatisfiable
% 47.77/17.05  																											|-Branch two:
% 47.77/17.05  																											| (422)  ~ (all_0_84_84 = e3)
% 47.77/17.05  																											| (804) all_0_85_85 = e3
% 47.77/17.05  																											|
% 47.77/17.05  																												| Equations (804) can reduce 201 to:
% 47.77/17.05  																												| (807)  ~ (all_0_93_93 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Simplifying 807 yields:
% 47.77/17.05  																												| (602)  ~ (all_0_93_93 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (804) can reduce 75 to:
% 47.77/17.05  																												| (1518)  ~ (all_0_98_98 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Simplifying 1518 yields:
% 47.77/17.05  																												| (1519)  ~ (all_0_98_98 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (804) can reduce 648 to:
% 47.77/17.05  																												| (783)  ~ (e4 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Simplifying 783 yields:
% 47.77/17.05  																												| (177)  ~ (e4 = e3)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (804) can reduce 515 to:
% 47.77/17.05  																												| (169)  ~ (e3 = e2)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (804) can reduce 128 to:
% 47.77/17.05  																												| (20)  ~ (e3 = e1)
% 47.77/17.05  																												|
% 47.77/17.05  																												| Equations (804) can reduce 800 to:
% 47.77/17.05  																												| (50)  ~ (e3 = e0)
% 47.77/17.05  																												|
% 47.77/17.05  																												| From (804) and (26) follows:
% 47.77/17.05  																												| (1891) op(e0, e3) = all_0_71_71
% 47.77/17.05  																												|
% 47.77/17.05  																												| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 47.77/17.05  																												| (14316) all_0_71_71 = all_0_95_95
% 47.77/17.05  																												|
% 47.77/17.05  																												+-Applying beta-rule and splitting (45), into two cases.
% 47.77/17.05  																												|-Branch one:
% 47.77/17.05  																												| (546) all_0_80_80 = e2
% 47.77/17.05  																												|
% 47.77/17.05  																													| Equations (546) can reduce 394 to:
% 47.77/17.05  																													| (311) $false
% 47.77/17.05  																													|
% 47.77/17.05  																													|-The branch is then unsatisfiable
% 47.77/17.05  																												|-Branch two:
% 47.77/17.05  																												| (394)  ~ (all_0_80_80 = e2)
% 47.77/17.05  																												| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.77/17.05  																												|
% 47.77/17.05  																													+-Applying beta-rule and splitting (270), into two cases.
% 47.77/17.05  																													|-Branch one:
% 47.77/17.05  																													| (744) all_0_95_95 = e3
% 47.77/17.05  																													|
% 47.77/17.05  																														| Equations (744) can reduce 229 to:
% 47.77/17.05  																														| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.05  																														|
% 47.77/17.05  																														| Equations (744) can reduce 315 to:
% 47.77/17.05  																														| (783)  ~ (e4 = e3)
% 47.77/17.05  																														|
% 47.77/17.05  																														| Simplifying 783 yields:
% 47.77/17.05  																														| (177)  ~ (e4 = e3)
% 47.77/17.05  																														|
% 47.77/17.05  																														| Equations (744) can reduce 355 to:
% 47.77/17.05  																														| (169)  ~ (e3 = e2)
% 47.77/17.05  																														|
% 47.77/17.05  																														| Equations (744) can reduce 680 to:
% 47.77/17.05  																														| (20)  ~ (e3 = e1)
% 47.77/17.05  																														|
% 47.77/17.05  																														+-Applying beta-rule and splitting (254), into two cases.
% 47.77/17.05  																														|-Branch one:
% 47.77/17.05  																														| (910) all_0_82_82 = e0
% 47.77/17.05  																														|
% 47.77/17.05  																															| Combining equations (469,910) yields a new equation:
% 47.77/17.05  																															| (911) e4 = e0
% 47.77/17.05  																															|
% 47.77/17.05  																															| Simplifying 911 yields:
% 47.77/17.05  																															| (912) e4 = e0
% 47.77/17.05  																															|
% 47.77/17.05  																															| Equations (912) can reduce 23 to:
% 47.77/17.05  																															| (311) $false
% 47.77/17.05  																															|
% 47.77/17.05  																															|-The branch is then unsatisfiable
% 47.77/17.05  																														|-Branch two:
% 47.77/17.05  																														| (914)  ~ (all_0_82_82 = e0)
% 47.77/17.05  																														| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.77/17.05  																														|
% 47.77/17.05  																															| Equations (469) can reduce 914 to:
% 47.77/17.05  																															| (23)  ~ (e4 = e0)
% 47.77/17.05  																															|
% 47.77/17.05  																															+-Applying beta-rule and splitting (102), into two cases.
% 47.77/17.05  																															|-Branch one:
% 47.77/17.05  																															| (858) all_0_95_95 = e0
% 47.77/17.05  																															|
% 47.77/17.05  																																| Combining equations (744,858) yields a new equation:
% 47.77/17.05  																																| (599) e3 = e0
% 47.77/17.05  																																|
% 47.77/17.05  																																| Simplifying 599 yields:
% 47.77/17.05  																																| (600) e3 = e0
% 47.77/17.05  																																|
% 47.77/17.05  																																| Equations (600) can reduce 50 to:
% 47.77/17.05  																																| (311) $false
% 47.77/17.05  																																|
% 47.77/17.05  																																|-The branch is then unsatisfiable
% 47.77/17.05  																															|-Branch two:
% 47.77/17.05  																															| (893)  ~ (all_0_95_95 = e0)
% 47.77/17.05  																															| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.77/17.05  																															|
% 47.77/17.05  																																+-Applying beta-rule and splitting (1921), into two cases.
% 47.77/17.05  																																|-Branch one:
% 47.77/17.05  																																| (1837) all_0_96_96 = e0
% 47.77/17.05  																																|
% 47.77/17.05  																																	| Combining equations (960,1837) yields a new equation:
% 47.77/17.05  																																	| (1107) e1 = e0
% 47.77/17.05  																																	|
% 47.77/17.05  																																	| Simplifying 1107 yields:
% 47.77/17.05  																																	| (865) e1 = e0
% 47.77/17.05  																																	|
% 47.77/17.05  																																	| Equations (865) can reduce 264 to:
% 47.77/17.05  																																	| (311) $false
% 47.77/17.05  																																	|
% 47.77/17.05  																																	|-The branch is then unsatisfiable
% 47.77/17.05  																																|-Branch two:
% 47.77/17.05  																																| (2095)  ~ (all_0_96_96 = e0)
% 47.77/17.05  																																| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.77/17.05  																																|
% 47.77/17.05  																																	+-Applying beta-rule and splitting (282), into two cases.
% 47.77/17.05  																																	|-Branch one:
% 47.77/17.05  																																	| (754) all_0_90_90 = e3
% 47.77/17.05  																																	|
% 47.77/17.05  																																		| Equations (754) can reduce 745 to:
% 47.77/17.05  																																		| (311) $false
% 47.77/17.05  																																		|
% 47.77/17.05  																																		|-The branch is then unsatisfiable
% 47.77/17.05  																																	|-Branch two:
% 47.77/17.05  																																	| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.05  																																	| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/17.05  																																	|
% 47.77/17.05  																																		+-Applying beta-rule and splitting (849), into two cases.
% 47.77/17.05  																																		|-Branch one:
% 47.77/17.05  																																		| (588) all_0_91_91 = e3
% 47.77/17.05  																																		|
% 47.77/17.05  																																			| Combining equations (1723,588) yields a new equation:
% 47.77/17.05  																																			| (548) e3 = e2
% 47.77/17.05  																																			|
% 47.77/17.05  																																			| Equations (548) can reduce 169 to:
% 47.77/17.05  																																			| (311) $false
% 47.77/17.05  																																			|
% 47.77/17.05  																																			|-The branch is then unsatisfiable
% 47.77/17.05  																																		|-Branch two:
% 47.77/17.05  																																		| (571)  ~ (all_0_91_91 = e3)
% 47.77/17.05  																																		| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 47.77/17.05  																																		|
% 47.77/17.05  																																			+-Applying beta-rule and splitting (27), into two cases.
% 47.77/17.05  																																			|-Branch one:
% 47.77/17.05  																																			| (746) all_0_90_90 = e2
% 47.77/17.05  																																			|
% 47.77/17.05  																																				| Equations (746) can reduce 294 to:
% 47.77/17.05  																																				| (311) $false
% 47.77/17.05  																																				|
% 47.77/17.05  																																				|-The branch is then unsatisfiable
% 47.77/17.05  																																			|-Branch two:
% 47.77/17.05  																																			| (294)  ~ (all_0_90_90 = e2)
% 47.77/17.05  																																			| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 47.77/17.05  																																			|
% 47.77/17.05  																																				+-Applying beta-rule and splitting (749), into two cases.
% 47.77/17.05  																																				|-Branch one:
% 47.77/17.05  																																				| (750) all_0_90_90 = e1
% 47.77/17.05  																																				|
% 47.77/17.05  																																					| Equations (750) can reduce 678 to:
% 47.77/17.05  																																					| (311) $false
% 47.77/17.05  																																					|
% 47.77/17.05  																																					|-The branch is then unsatisfiable
% 47.77/17.05  																																				|-Branch two:
% 47.77/17.05  																																				| (678)  ~ (all_0_90_90 = e1)
% 47.77/17.05  																																				| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 47.77/17.05  																																				|
% 47.77/17.05  																																					+-Applying beta-rule and splitting (2096), into two cases.
% 47.77/17.05  																																					|-Branch one:
% 47.77/17.05  																																					| (560) all_0_97_97 = e0
% 47.77/17.05  																																					|
% 47.77/17.05  																																						| Equations (560) can reduce 609 to:
% 47.77/17.05  																																						| (311) $false
% 47.77/17.05  																																						|
% 47.77/17.05  																																						|-The branch is then unsatisfiable
% 47.77/17.05  																																					|-Branch two:
% 47.77/17.05  																																					| (609)  ~ (all_0_97_97 = e0)
% 47.77/17.05  																																					| (1121) all_0_98_98 = e0
% 47.77/17.05  																																					|
% 47.77/17.05  																																						| Equations (1121) can reduce 148 to:
% 47.77/17.05  																																						| (609)  ~ (all_0_97_97 = e0)
% 47.77/17.05  																																						|
% 47.77/17.05  																																						+-Applying beta-rule and splitting (168), into two cases.
% 47.77/17.05  																																						|-Branch one:
% 47.77/17.05  																																						| (638) all_0_81_81 = e4
% 47.77/17.05  																																						|
% 47.77/17.05  																																							| Equations (638) can reduce 144 to:
% 47.77/17.05  																																							| (436)  ~ (all_0_80_80 = e4)
% 47.77/17.05  																																							|
% 47.77/17.05  																																							| Equations (638) can reduce 396 to:
% 47.77/17.05  																																							| (79)  ~ (e4 = e2)
% 47.77/17.05  																																							|
% 47.77/17.05  																																							+-Applying beta-rule and splitting (129), into two cases.
% 47.77/17.05  																																							|-Branch one:
% 47.77/17.05  																																							| (676) all_0_78_78 = e1
% 47.77/17.05  																																							|
% 47.77/17.05  																																								| Combining equations (676,400) yields a new equation:
% 47.77/17.05  																																								| (385) e2 = e1
% 47.77/17.05  																																								|
% 47.77/17.05  																																								| Equations (385) can reduce 243 to:
% 47.77/17.05  																																								| (311) $false
% 47.77/17.05  																																								|
% 47.77/17.05  																																								|-The branch is then unsatisfiable
% 47.77/17.05  																																							|-Branch two:
% 47.77/17.05  																																							| (1601)  ~ (all_0_78_78 = e1)
% 47.77/17.05  																																							| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.77/17.05  																																							|
% 47.77/17.05  																																								+-Applying beta-rule and splitting (1602), into two cases.
% 47.77/17.05  																																								|-Branch one:
% 47.77/17.05  																																								| (457) all_0_79_79 = e1
% 47.77/17.05  																																								|
% 47.77/17.05  																																									| Combining equations (457,1708) yields a new equation:
% 47.77/17.05  																																									| (772) e3 = e1
% 47.77/17.05  																																									|
% 47.77/17.05  																																									| Equations (772) can reduce 20 to:
% 47.77/17.05  																																									| (311) $false
% 47.77/17.05  																																									|
% 47.77/17.05  																																									|-The branch is then unsatisfiable
% 47.77/17.05  																																								|-Branch two:
% 47.77/17.05  																																								| (461)  ~ (all_0_79_79 = e1)
% 47.77/17.05  																																								| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 47.77/17.05  																																								|
% 47.77/17.05  																																									| Equations (1708) can reduce 461 to:
% 47.77/17.05  																																									| (20)  ~ (e3 = e1)
% 47.77/17.05  																																									|
% 47.77/17.05  																																									+-Applying beta-rule and splitting (210), into two cases.
% 47.77/17.05  																																									|-Branch one:
% 47.77/17.05  																																									| (433) all_0_80_80 = e4
% 47.77/17.05  																																									|
% 47.77/17.05  																																										| Equations (433) can reduce 436 to:
% 47.77/17.05  																																										| (311) $false
% 47.77/17.05  																																										|
% 47.77/17.05  																																										|-The branch is then unsatisfiable
% 47.77/17.05  																																									|-Branch two:
% 47.77/17.05  																																									| (436)  ~ (all_0_80_80 = e4)
% 47.77/17.05  																																									| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.77/17.05  																																									|
% 47.77/17.05  																																										+-Applying beta-rule and splitting (291), into two cases.
% 47.77/17.05  																																										|-Branch one:
% 47.77/17.05  																																										| (758) all_0_90_90 = e0
% 47.77/17.05  																																										|
% 47.77/17.05  																																											| Equations (758) can reduce 678 to:
% 47.77/17.05  																																											| (859)  ~ (e1 = e0)
% 47.77/17.05  																																											|
% 47.77/17.05  																																											| Simplifying 859 yields:
% 47.77/17.05  																																											| (264)  ~ (e1 = e0)
% 47.77/17.05  																																											|
% 47.77/17.05  																																											+-Applying beta-rule and splitting (3232), into two cases.
% 47.77/17.05  																																											|-Branch one:
% 47.77/17.05  																																											| (824) all_0_80_80 = e1
% 47.77/17.05  																																											|
% 47.77/17.05  																																												| Equations (824) can reduce 436 to:
% 47.77/17.05  																																												| (681)  ~ (e4 = e1)
% 47.77/17.05  																																												|
% 47.77/17.05  																																												| Simplifying 681 yields:
% 47.77/17.05  																																												| (256)  ~ (e4 = e1)
% 47.77/17.05  																																												|
% 47.77/17.05  																																												| Equations (824) can reduce 394 to:
% 47.77/17.05  																																												| (487)  ~ (e2 = e1)
% 47.77/17.05  																																												|
% 47.77/17.05  																																												| Simplifying 487 yields:
% 47.77/17.05  																																												| (243)  ~ (e2 = e1)
% 47.77/17.05  																																												|
% 47.77/17.05  																																												| Equations (824) can reduce 166 to:
% 47.77/17.05  																																												| (264)  ~ (e1 = e0)
% 47.77/17.05  																																												|
% 47.77/17.05  																																												| From (824) and (233) follows:
% 47.77/17.05  																																												| (10739) op(e1, e1) = all_0_60_60
% 47.77/17.05  																																												|
% 47.77/17.05  																																												+-Applying beta-rule and splitting (108), into two cases.
% 47.77/17.05  																																												|-Branch one:
% 47.77/17.05  																																												| (477) all_0_81_81 = e1
% 47.77/17.05  																																												|
% 47.77/17.05  																																													| Combining equations (638,477) yields a new equation:
% 47.77/17.05  																																													| (813) e4 = e1
% 47.77/17.05  																																													|
% 47.77/17.05  																																													| Simplifying 813 yields:
% 47.77/17.05  																																													| (814) e4 = e1
% 47.77/17.05  																																													|
% 47.77/17.05  																																													| Equations (814) can reduce 256 to:
% 47.77/17.05  																																													| (311) $false
% 47.77/17.05  																																													|
% 47.77/17.05  																																													|-The branch is then unsatisfiable
% 47.77/17.05  																																												|-Branch two:
% 47.77/17.05  																																												| (628)  ~ (all_0_81_81 = e1)
% 47.77/17.05  																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.77/17.05  																																												|
% 47.77/17.05  																																													+-Applying beta-rule and splitting (132), into two cases.
% 47.77/17.05  																																													|-Branch one:
% 47.77/17.05  																																													| (750) all_0_90_90 = e1
% 47.77/17.05  																																													|
% 47.77/17.05  																																														| Combining equations (758,750) yields a new equation:
% 47.77/17.05  																																														| (865) e1 = e0
% 47.77/17.05  																																														|
% 47.77/17.05  																																														| Equations (865) can reduce 264 to:
% 47.77/17.05  																																														| (311) $false
% 47.77/17.05  																																														|
% 47.77/17.05  																																														|-The branch is then unsatisfiable
% 47.77/17.05  																																													|-Branch two:
% 47.77/17.05  																																													| (678)  ~ (all_0_90_90 = e1)
% 47.77/17.05  																																													| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.77/17.05  																																													|
% 47.77/17.05  																																														| Equations (758) can reduce 678 to:
% 47.77/17.05  																																														| (859)  ~ (e1 = e0)
% 47.77/17.05  																																														|
% 47.77/17.05  																																														| Simplifying 859 yields:
% 47.77/17.05  																																														| (264)  ~ (e1 = e0)
% 47.77/17.05  																																														|
% 47.77/17.05  																																														+-Applying beta-rule and splitting (119), into two cases.
% 47.77/17.05  																																														|-Branch one:
% 47.77/17.05  																																														| (1343) all_0_92_92 = e2
% 47.77/17.05  																																														|
% 47.77/17.05  																																															| Equations (1343) can reduce 298 to:
% 47.77/17.05  																																															| (311) $false
% 47.77/17.05  																																															|
% 47.77/17.05  																																															|-The branch is then unsatisfiable
% 47.77/17.05  																																														|-Branch two:
% 47.77/17.05  																																														| (298)  ~ (all_0_92_92 = e2)
% 47.77/17.05  																																														| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.77/17.05  																																														|
% 47.77/17.05  																																															+-Applying beta-rule and splitting (881), into two cases.
% 47.77/17.05  																																															|-Branch one:
% 47.77/17.05  																																															| (882) all_0_92_92 = e3
% 47.77/17.05  																																															|
% 47.77/17.05  																																																| Equations (882) can reduce 258 to:
% 47.77/17.05  																																																| (427)  ~ (all_0_97_97 = e3)
% 47.77/17.05  																																																|
% 47.77/17.05  																																																| Simplifying 427 yields:
% 47.77/17.05  																																																| (428)  ~ (all_0_97_97 = e3)
% 47.77/17.05  																																																|
% 47.77/17.05  																																																| Equations (882) can reduce 1619 to:
% 47.77/17.05  																																																| (783)  ~ (e4 = e3)
% 47.77/17.05  																																																|
% 47.77/17.05  																																																| Simplifying 783 yields:
% 47.77/17.05  																																																| (177)  ~ (e4 = e3)
% 47.77/17.05  																																																|
% 47.77/17.05  																																																| Equations (882) can reduce 298 to:
% 47.77/17.05  																																																| (169)  ~ (e3 = e2)
% 47.77/17.05  																																																|
% 47.77/17.05  																																																| From (882) and (135) follows:
% 47.77/17.05  																																																| (8770) op(e1, e1) = e3
% 47.77/17.05  																																																|
% 47.77/17.05  																																																+-Applying beta-rule and splitting (817), into two cases.
% 47.77/17.05  																																																|-Branch one:
% 47.77/17.05  																																																| (504) all_0_88_88 = e1
% 47.77/17.05  																																																|
% 47.77/17.05  																																																	| Combining equations (370,504) yields a new equation:
% 47.77/17.05  																																																	| (408) e2 = e1
% 47.77/17.05  																																																	|
% 47.77/17.05  																																																	| Simplifying 408 yields:
% 47.77/17.05  																																																	| (385) e2 = e1
% 47.77/17.05  																																																	|
% 47.77/17.05  																																																	| Equations (385) can reduce 243 to:
% 47.77/17.05  																																																	| (311) $false
% 47.77/17.05  																																																	|
% 47.77/17.05  																																																	|-The branch is then unsatisfiable
% 47.77/17.05  																																																|-Branch two:
% 47.77/17.05  																																																| (479)  ~ (all_0_88_88 = e1)
% 47.77/17.05  																																																| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.77/17.05  																																																|
% 47.77/17.05  																																																	+-Applying beta-rule and splitting (897), into two cases.
% 47.77/17.05  																																																	|-Branch one:
% 47.77/17.05  																																																	| (566) all_0_93_93 = e1
% 47.77/17.05  																																																	|
% 47.77/17.05  																																																		| Combining equations (566,8320) yields a new equation:
% 47.77/17.05  																																																		| (10723) all_0_64_64 = e1
% 47.77/17.05  																																																		|
% 47.77/17.05  																																																		| Equations (566) can reduce 300 to:
% 47.77/17.05  																																																		| (487)  ~ (e2 = e1)
% 47.77/17.05  																																																		|
% 47.77/17.05  																																																		| Simplifying 487 yields:
% 47.77/17.05  																																																		| (243)  ~ (e2 = e1)
% 47.77/17.05  																																																		|
% 47.77/17.05  																																																		| From (566) and (21) follows:
% 47.77/17.05  																																																		| (14721) op(e1, e1) = all_0_76_76
% 47.77/17.05  																																																		|
% 47.77/17.05  																																																		+-Applying beta-rule and splitting (140), into two cases.
% 47.77/17.05  																																																		|-Branch one:
% 47.77/17.05  																																																		| (313) all_0_94_94 = e4
% 47.77/17.05  																																																		|
% 47.77/17.05  																																																			| Combining equations (313,1757) yields a new equation:
% 47.77/17.05  																																																			| (309) e4 = e2
% 47.77/17.05  																																																			|
% 47.77/17.05  																																																			| Simplifying 309 yields:
% 47.77/17.05  																																																			| (310) e4 = e2
% 47.77/17.05  																																																			|
% 47.77/17.05  																																																			| Equations (310) can reduce 79 to:
% 47.77/17.05  																																																			| (311) $false
% 47.77/17.05  																																																			|
% 47.77/17.05  																																																			|-The branch is then unsatisfiable
% 47.77/17.05  																																																		|-Branch two:
% 47.77/17.06  																																																		| (34849)  ~ (all_0_94_94 = e4)
% 47.77/17.06  																																																		| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.77/17.06  																																																		|
% 47.77/17.06  																																																			| Equations (1757) can reduce 34849 to:
% 47.77/17.06  																																																			| (528)  ~ (e4 = e2)
% 47.77/17.06  																																																			|
% 47.77/17.06  																																																			| Simplifying 528 yields:
% 47.77/17.06  																																																			| (79)  ~ (e4 = e2)
% 47.77/17.06  																																																			|
% 47.77/17.06  																																																			+-Applying beta-rule and splitting (437), into two cases.
% 47.77/17.06  																																																			|-Branch one:
% 47.77/17.06  																																																			| (438) all_0_84_84 = e4
% 47.77/17.06  																																																			|
% 47.77/17.06  																																																				| Combining equations (552,438) yields a new equation:
% 47.77/17.06  																																																				| (310) e4 = e2
% 47.77/17.06  																																																				|
% 47.77/17.06  																																																				| Equations (310) can reduce 79 to:
% 47.77/17.06  																																																				| (311) $false
% 47.77/17.06  																																																				|
% 47.77/17.06  																																																				|-The branch is then unsatisfiable
% 47.77/17.06  																																																			|-Branch two:
% 47.77/17.06  																																																			| (417)  ~ (all_0_84_84 = e4)
% 47.77/17.06  																																																			| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.77/17.06  																																																			|
% 47.77/17.06  																																																				+-Applying beta-rule and splitting (441), into two cases.
% 47.77/17.06  																																																				|-Branch one:
% 47.77/17.06  																																																				| (442) all_0_92_92 = e4
% 47.77/17.06  																																																				|
% 47.77/17.06  																																																					| Combining equations (882,442) yields a new equation:
% 47.77/17.06  																																																					| (434) e4 = e3
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Equations (434) can reduce 177 to:
% 47.77/17.06  																																																					| (311) $false
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					|-The branch is then unsatisfiable
% 47.77/17.06  																																																				|-Branch two:
% 47.77/17.06  																																																				| (1619)  ~ (all_0_92_92 = e4)
% 47.77/17.06  																																																				| (610) all_0_97_97 = e4
% 47.77/17.06  																																																				|
% 47.77/17.06  																																																					| Equations (610) can reduce 428 to:
% 47.77/17.06  																																																					| (177)  ~ (e4 = e3)
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Equations (610) can reduce 609 to:
% 47.77/17.06  																																																					| (23)  ~ (e4 = e0)
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| From (610) and (252) follows:
% 47.77/17.06  																																																					| (30644) op(e1, e4) = all_0_67_67
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Instantiating formula (262) with e1, e4, all_0_67_67, e4 and discharging atoms op(e1, e4) = all_0_67_67, op(e1, e4) = e4, yields:
% 47.77/17.06  																																																					| (3520) all_0_67_67 = e4
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Instantiating formula (262) with e1, e1, all_0_76_76, all_0_60_60 and discharging atoms op(e1, e1) = all_0_60_60, op(e1, e1) = all_0_76_76, yields:
% 47.77/17.06  																																																					| (8504) all_0_60_60 = all_0_76_76
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Instantiating formula (262) with e1, e1, e3, all_0_60_60 and discharging atoms op(e1, e1) = all_0_60_60, op(e1, e1) = e3, yields:
% 47.77/17.06  																																																					| (1403) all_0_60_60 = e3
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Combining equations (1403,8504) yields a new equation:
% 47.77/17.06  																																																					| (12777) all_0_76_76 = e3
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					| Combining equations (12777,8504) yields a new equation:
% 47.77/17.06  																																																					| (1403) all_0_60_60 = e3
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																					+-Applying beta-rule and splitting (276), into two cases.
% 47.77/17.06  																																																					|-Branch one:
% 47.77/17.06  																																																					| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																						+-Applying beta-rule and splitting (577), into two cases.
% 47.77/17.06  																																																						|-Branch one:
% 47.77/17.06  																																																						| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																							+-Applying beta-rule and splitting (578), into two cases.
% 47.77/17.06  																																																							|-Branch one:
% 47.77/17.06  																																																							| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.77/17.06  																																																							|
% 47.77/17.06  																																																								| Applying alpha-rule on (579) yields:
% 47.77/17.06  																																																								| (580) all_0_60_60 = e4
% 47.77/17.06  																																																								| (581)  ~ (all_0_61_61 = e1)
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								| Combining equations (580,1403) yields a new equation:
% 47.77/17.06  																																																								| (790) e4 = e3
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								| Simplifying 790 yields:
% 47.77/17.06  																																																								| (434) e4 = e3
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								| Equations (434) can reduce 177 to:
% 47.77/17.06  																																																								| (311) $false
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								|-The branch is then unsatisfiable
% 47.77/17.06  																																																							|-Branch two:
% 47.77/17.06  																																																							| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.77/17.06  																																																							|
% 47.77/17.06  																																																								| Applying alpha-rule on (585) yields:
% 47.77/17.06  																																																								| (586) all_0_62_62 = e3
% 47.77/17.06  																																																								| (587)  ~ (all_0_63_63 = e1)
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								| Combining equations (9103,586) yields a new equation:
% 47.77/17.06  																																																								| (548) e3 = e2
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								| Equations (548) can reduce 169 to:
% 47.77/17.06  																																																								| (311) $false
% 47.77/17.06  																																																								|
% 47.77/17.06  																																																								|-The branch is then unsatisfiable
% 47.77/17.06  																																																						|-Branch two:
% 47.77/17.06  																																																						| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																							| Applying alpha-rule on (590) yields:
% 47.77/17.06  																																																							| (591) all_0_64_64 = e2
% 47.77/17.06  																																																							| (592)  ~ (all_0_65_65 = e1)
% 47.77/17.06  																																																							|
% 47.77/17.06  																																																							| Combining equations (10723,591) yields a new equation:
% 47.77/17.06  																																																							| (385) e2 = e1
% 47.77/17.06  																																																							|
% 47.77/17.06  																																																							| Equations (385) can reduce 243 to:
% 47.77/17.06  																																																							| (311) $false
% 47.77/17.06  																																																							|
% 47.77/17.06  																																																							|-The branch is then unsatisfiable
% 47.77/17.06  																																																					|-Branch two:
% 47.77/17.06  																																																					| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.77/17.06  																																																					|
% 47.77/17.06  																																																						| Applying alpha-rule on (596) yields:
% 47.77/17.06  																																																						| (597) all_0_67_67 = e0
% 47.77/17.06  																																																						| (598)  ~ (all_0_68_68 = e1)
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																						| Combining equations (3520,597) yields a new equation:
% 47.77/17.06  																																																						| (911) e4 = e0
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																						| Simplifying 911 yields:
% 47.77/17.06  																																																						| (912) e4 = e0
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																						| Equations (912) can reduce 23 to:
% 47.77/17.06  																																																						| (311) $false
% 47.77/17.06  																																																						|
% 47.77/17.06  																																																						|-The branch is then unsatisfiable
% 47.77/17.06  																																																	|-Branch two:
% 47.77/17.06  																																																	| (481)  ~ (all_0_93_93 = e1)
% 47.77/17.06  																																																	| (1543) all_0_98_98 = e1
% 47.77/17.06  																																																	|
% 47.77/17.06  																																																		| Combining equations (1543,1121) yields a new equation:
% 47.77/17.06  																																																		| (1107) e1 = e0
% 47.77/17.06  																																																		|
% 47.77/17.06  																																																		| Simplifying 1107 yields:
% 47.77/17.06  																																																		| (865) e1 = e0
% 47.77/17.06  																																																		|
% 47.77/17.06  																																																		| Equations (865) can reduce 264 to:
% 47.77/17.06  																																																		| (311) $false
% 47.77/17.06  																																																		|
% 47.77/17.06  																																																		|-The branch is then unsatisfiable
% 47.77/17.06  																																															|-Branch two:
% 47.77/17.06  																																															| (426)  ~ (all_0_92_92 = e3)
% 47.77/17.06  																																															| (570) all_0_93_93 = e3
% 47.77/17.06  																																															|
% 47.77/17.06  																																																| Equations (570) can reduce 602 to:
% 47.77/17.06  																																																| (311) $false
% 47.77/17.06  																																																|
% 47.77/17.06  																																																|-The branch is then unsatisfiable
% 47.77/17.06  																																											|-Branch two:
% 47.77/17.06  																																											| (828)  ~ (all_0_80_80 = e1)
% 47.77/17.06  																																											| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 47.77/17.06  																																											|
% 47.77/17.06  																																												+-Applying beta-rule and splitting (151), into two cases.
% 47.77/17.06  																																												|-Branch one:
% 47.77/17.06  																																												| (824) all_0_80_80 = e1
% 47.77/17.06  																																												|
% 47.77/17.06  																																													| Equations (824) can reduce 828 to:
% 47.77/17.06  																																													| (311) $false
% 47.77/17.06  																																													|
% 47.77/17.06  																																													|-The branch is then unsatisfiable
% 47.77/17.06  																																												|-Branch two:
% 47.77/17.06  																																												| (828)  ~ (all_0_80_80 = e1)
% 47.77/17.06  																																												| (829) all_0_87_87 = e1 | all_0_92_92 = e1 | all_0_97_97 = e1
% 47.77/17.06  																																												|
% 47.77/17.06  																																													+-Applying beta-rule and splitting (829), into two cases.
% 47.77/17.06  																																													|-Branch one:
% 47.77/17.06  																																													| (482) all_0_87_87 = e1
% 47.77/17.06  																																													|
% 47.77/17.06  																																														| Combining equations (861,482) yields a new equation:
% 47.77/17.06  																																														| (865) e1 = e0
% 47.77/17.06  																																														|
% 47.77/17.06  																																														| Equations (865) can reduce 264 to:
% 47.77/17.06  																																														| (311) $false
% 47.77/17.06  																																														|
% 47.77/17.06  																																														|-The branch is then unsatisfiable
% 47.77/17.06  																																													|-Branch two:
% 47.77/17.06  																																													| (625)  ~ (all_0_87_87 = e1)
% 47.77/17.06  																																													| (835) all_0_92_92 = e1 | all_0_97_97 = e1
% 47.77/17.06  																																													|
% 47.77/17.06  																																														+-Applying beta-rule and splitting (835), into two cases.
% 47.77/17.06  																																														|-Branch one:
% 47.77/17.06  																																														| (836) all_0_92_92 = e1
% 47.77/17.06  																																														|
% 47.77/17.06  																																															+-Applying beta-rule and splitting (881), into two cases.
% 47.77/17.06  																																															|-Branch one:
% 47.77/17.06  																																															| (882) all_0_92_92 = e3
% 47.77/17.06  																																															|
% 47.77/17.06  																																																| Combining equations (836,882) yields a new equation:
% 47.77/17.06  																																																| (772) e3 = e1
% 47.77/17.06  																																																|
% 47.77/17.06  																																																| Equations (772) can reduce 20 to:
% 47.77/17.06  																																																| (311) $false
% 47.77/17.06  																																																|
% 47.77/17.06  																																																|-The branch is then unsatisfiable
% 47.77/17.06  																																															|-Branch two:
% 47.77/17.06  																																															| (426)  ~ (all_0_92_92 = e3)
% 47.77/17.06  																																															| (570) all_0_93_93 = e3
% 47.77/17.06  																																															|
% 47.77/17.06  																																																| Equations (570) can reduce 602 to:
% 47.77/17.06  																																																| (311) $false
% 47.77/17.06  																																																|
% 47.77/17.06  																																																|-The branch is then unsatisfiable
% 47.77/17.06  																																														|-Branch two:
% 47.77/17.06  																																														| (840)  ~ (all_0_92_92 = e1)
% 47.77/17.06  																																														| (542) all_0_97_97 = e1
% 47.77/17.06  																																														|
% 47.77/17.06  																																															| Equations (542) can reduce 486 to:
% 47.77/17.06  																																															| (311) $false
% 47.77/17.06  																																															|
% 47.77/17.06  																																															|-The branch is then unsatisfiable
% 47.77/17.06  																																										|-Branch two:
% 47.77/17.06  																																										| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.06  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.77/17.06  																																										|
% 47.77/17.06  																																											+-Applying beta-rule and splitting (881), into two cases.
% 47.77/17.06  																																											|-Branch one:
% 47.77/17.06  																																											| (882) all_0_92_92 = e3
% 47.77/17.06  																																											|
% 47.77/17.06  																																												| Equations (882) can reduce 72 to:
% 47.77/17.06  																																												| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.06  																																												|
% 47.77/17.06  																																												+-Applying beta-rule and splitting (753), into two cases.
% 47.77/17.06  																																												|-Branch one:
% 47.77/17.06  																																												| (754) all_0_90_90 = e3
% 47.77/17.06  																																												|
% 47.77/17.06  																																													| Equations (754) can reduce 745 to:
% 47.77/17.06  																																													| (311) $false
% 47.77/17.06  																																													|
% 47.77/17.06  																																													|-The branch is then unsatisfiable
% 47.77/17.06  																																												|-Branch two:
% 47.77/17.06  																																												| (745)  ~ (all_0_90_90 = e3)
% 47.77/17.06  																																												| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 47.77/17.06  																																												|
% 47.77/17.06  																																													+-Applying beta-rule and splitting (757), into two cases.
% 47.77/17.06  																																													|-Branch one:
% 47.77/17.06  																																													| (758) all_0_90_90 = e0
% 47.77/17.06  																																													|
% 47.77/17.06  																																														| Equations (758) can reduce 762 to:
% 47.77/17.06  																																														| (311) $false
% 47.77/17.06  																																														|
% 47.77/17.06  																																														|-The branch is then unsatisfiable
% 47.77/17.06  																																													|-Branch two:
% 47.77/17.06  																																													| (762)  ~ (all_0_90_90 = e0)
% 47.77/17.06  																																													| (583) all_0_90_90 = e4
% 47.77/17.06  																																													|
% 47.77/17.06  																																														| Equations (583) can reduce 467 to:
% 47.77/17.06  																																														| (311) $false
% 47.77/17.06  																																														|
% 47.77/17.06  																																														|-The branch is then unsatisfiable
% 47.77/17.06  																																											|-Branch two:
% 47.77/17.06  																																											| (426)  ~ (all_0_92_92 = e3)
% 47.77/17.07  																																											| (570) all_0_93_93 = e3
% 47.77/17.07  																																											|
% 47.77/17.07  																																												| Equations (570) can reduce 602 to:
% 47.77/17.07  																																												| (311) $false
% 47.77/17.07  																																												|
% 47.77/17.07  																																												|-The branch is then unsatisfiable
% 47.77/17.07  																																						|-Branch two:
% 47.77/17.07  																																						| (634)  ~ (all_0_81_81 = e4)
% 47.77/17.07  																																						| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.77/17.07  																																						|
% 47.77/17.07  																																							+-Applying beta-rule and splitting (2559), into two cases.
% 47.77/17.07  																																							|-Branch one:
% 47.77/17.07  																																							| (493) all_0_85_85 = e4
% 47.77/17.07  																																							|
% 47.77/17.07  																																								| Combining equations (804,493) yields a new equation:
% 47.85/17.07  																																								| (434) e4 = e3
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Equations (434) can reduce 177 to:
% 47.85/17.07  																																								| (311) $false
% 47.85/17.07  																																								|
% 47.85/17.07  																																								|-The branch is then unsatisfiable
% 47.85/17.07  																																							|-Branch two:
% 47.85/17.07  																																							| (648)  ~ (all_0_85_85 = e4)
% 47.85/17.07  																																							| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 47.85/17.07  																																							|
% 47.85/17.07  																																								+-Applying beta-rule and splitting (2576), into two cases.
% 47.85/17.07  																																								|-Branch one:
% 47.85/17.07  																																								| (607) all_0_93_93 = e4
% 47.85/17.07  																																								|
% 47.85/17.07  																																									| Equations (607) can reduce 496 to:
% 47.85/17.07  																																									| (311) $false
% 47.85/17.07  																																									|
% 47.85/17.07  																																									|-The branch is then unsatisfiable
% 47.85/17.07  																																								|-Branch two:
% 47.85/17.07  																																								| (496)  ~ (all_0_93_93 = e4)
% 47.85/17.07  																																								| (2650) all_0_98_98 = e4
% 47.85/17.07  																																								|
% 47.85/17.07  																																									| Combining equations (1121,2650) yields a new equation:
% 47.85/17.07  																																									| (912) e4 = e0
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Equations (912) can reduce 23 to:
% 47.85/17.07  																																									| (311) $false
% 47.85/17.07  																																									|
% 47.85/17.07  																																									|-The branch is then unsatisfiable
% 47.85/17.07  																													|-Branch two:
% 47.85/17.07  																													| (765)  ~ (all_0_95_95 = e3)
% 47.85/17.07  																													| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.85/17.07  																													|
% 47.85/17.07  																														+-Applying beta-rule and splitting (99), into two cases.
% 47.85/17.07  																														|-Branch one:
% 47.85/17.07  																														| (767) all_0_95_95 = e2
% 47.85/17.07  																														|
% 47.85/17.07  																															| Equations (767) can reduce 355 to:
% 47.85/17.07  																															| (311) $false
% 47.85/17.07  																															|
% 47.85/17.07  																															|-The branch is then unsatisfiable
% 47.85/17.07  																														|-Branch two:
% 47.85/17.07  																														| (355)  ~ (all_0_95_95 = e2)
% 47.85/17.07  																														| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 47.85/17.07  																														|
% 47.85/17.07  																															+-Applying beta-rule and splitting (766), into two cases.
% 47.85/17.07  																															|-Branch one:
% 47.85/17.07  																															| (778) all_0_96_96 = e3
% 47.85/17.07  																															|
% 47.85/17.07  																																| Combining equations (778,960) yields a new equation:
% 47.85/17.07  																																| (825) e3 = e1
% 47.85/17.07  																																|
% 47.85/17.07  																																| Simplifying 825 yields:
% 47.85/17.07  																																| (772) e3 = e1
% 47.85/17.07  																																|
% 47.85/17.07  																																| Equations (772) can reduce 20 to:
% 47.85/17.07  																																| (311) $false
% 47.85/17.07  																																|
% 47.85/17.07  																																|-The branch is then unsatisfiable
% 47.85/17.07  																															|-Branch two:
% 47.85/17.07  																															| (964)  ~ (all_0_96_96 = e3)
% 47.85/17.07  																															| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 47.85/17.07  																															|
% 47.85/17.07  																																+-Applying beta-rule and splitting (220), into two cases.
% 47.85/17.07  																																|-Branch one:
% 47.85/17.07  																																| (771) all_0_78_78 = e3
% 47.85/17.07  																																|
% 47.85/17.07  																																	| Combining equations (771,400) yields a new equation:
% 47.85/17.07  																																	| (547) e3 = e2
% 47.85/17.07  																																	|
% 47.85/17.07  																																	| Simplifying 547 yields:
% 47.85/17.07  																																	| (548) e3 = e2
% 47.85/17.07  																																	|
% 47.85/17.07  																																	| Equations (548) can reduce 169 to:
% 47.85/17.07  																																	| (311) $false
% 47.85/17.07  																																	|
% 47.85/17.07  																																	|-The branch is then unsatisfiable
% 47.85/17.07  																																|-Branch two:
% 47.85/17.07  																																| (418)  ~ (all_0_78_78 = e3)
% 47.85/17.07  																																| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.85/17.07  																																|
% 47.85/17.07  																																	+-Applying beta-rule and splitting (770), into two cases.
% 47.85/17.07  																																	|-Branch one:
% 47.85/17.07  																																	| (785) all_0_95_95 = e1
% 47.85/17.07  																																	|
% 47.85/17.07  																																		| Equations (785) can reduce 680 to:
% 47.85/17.07  																																		| (311) $false
% 47.85/17.07  																																		|
% 47.85/17.07  																																		|-The branch is then unsatisfiable
% 47.85/17.07  																																	|-Branch two:
% 47.85/17.07  																																	| (680)  ~ (all_0_95_95 = e1)
% 47.85/17.07  																																	| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 47.85/17.07  																																	|
% 47.85/17.07  																																		+-Applying beta-rule and splitting (775), into two cases.
% 47.85/17.07  																																		|-Branch one:
% 47.85/17.07  																																		| (789) all_0_82_82 = e3
% 47.85/17.07  																																		|
% 47.85/17.07  																																			| Combining equations (469,789) yields a new equation:
% 47.85/17.07  																																			| (790) e4 = e3
% 47.85/17.07  																																			|
% 47.85/17.07  																																			| Simplifying 790 yields:
% 47.85/17.07  																																			| (434) e4 = e3
% 47.85/17.07  																																			|
% 47.85/17.07  																																			| Equations (434) can reduce 177 to:
% 47.85/17.07  																																			| (311) $false
% 47.85/17.07  																																			|
% 47.85/17.07  																																			|-The branch is then unsatisfiable
% 47.85/17.07  																																		|-Branch two:
% 47.85/17.07  																																		| (793)  ~ (all_0_82_82 = e3)
% 47.85/17.07  																																		| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.85/17.07  																																		|
% 47.85/17.07  																																			+-Applying beta-rule and splitting (794), into two cases.
% 47.85/17.07  																																			|-Branch one:
% 47.85/17.07  																																			| (754) all_0_90_90 = e3
% 47.85/17.07  																																			|
% 47.85/17.07  																																				| Equations (754) can reduce 34 to:
% 47.85/17.07  																																				| (807)  ~ (all_0_93_93 = e3)
% 47.85/17.07  																																				|
% 47.85/17.07  																																				| Simplifying 807 yields:
% 47.85/17.07  																																				| (602)  ~ (all_0_93_93 = e3)
% 47.85/17.07  																																				|
% 47.85/17.07  																																				+-Applying beta-rule and splitting (965), into two cases.
% 47.85/17.07  																																				|-Branch one:
% 47.85/17.07  																																				| (556) all_0_97_97 = e3
% 47.85/17.07  																																				|
% 47.85/17.07  																																					| Equations (556) can reduce 202 to:
% 47.85/17.07  																																					| (2347)  ~ (all_0_80_80 = e3)
% 47.85/17.07  																																					|
% 47.85/17.07  																																					| Equations (556) can reduce 258 to:
% 47.85/17.07  																																					| (426)  ~ (all_0_92_92 = e3)
% 47.85/17.07  																																					|
% 47.85/17.07  																																					| Equations (556) can reduce 105 to:
% 47.85/17.07  																																					| (765)  ~ (all_0_95_95 = e3)
% 47.85/17.07  																																					|
% 47.85/17.07  																																					| Equations (556) can reduce 148 to:
% 47.85/17.07  																																					| (1518)  ~ (all_0_98_98 = e3)
% 47.85/17.07  																																					|
% 47.85/17.07  																																					| Simplifying 1518 yields:
% 47.85/17.07  																																					| (1519)  ~ (all_0_98_98 = e3)
% 47.85/17.07  																																					|
% 47.85/17.07  																																					| From (556) and (147) follows:
% 47.85/17.07  																																					| (13234) op(e0, e1) = e3
% 47.85/17.07  																																					|
% 47.85/17.07  																																					+-Applying beta-rule and splitting (853), into two cases.
% 47.85/17.07  																																					|-Branch one:
% 47.85/17.07  																																					| (744) all_0_95_95 = e3
% 47.85/17.07  																																					|
% 47.85/17.07  																																						| Equations (744) can reduce 765 to:
% 47.85/17.07  																																						| (311) $false
% 47.85/17.07  																																						|
% 47.85/17.07  																																						|-The branch is then unsatisfiable
% 47.85/17.07  																																					|-Branch two:
% 47.85/17.07  																																					| (765)  ~ (all_0_95_95 = e3)
% 47.85/17.07  																																					| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 47.85/17.07  																																					|
% 47.85/17.07  																																						+-Applying beta-rule and splitting (119), into two cases.
% 47.85/17.07  																																						|-Branch one:
% 47.85/17.07  																																						| (1343) all_0_92_92 = e2
% 47.85/17.07  																																						|
% 47.85/17.07  																																							| Equations (1343) can reduce 298 to:
% 47.85/17.07  																																							| (311) $false
% 47.85/17.07  																																							|
% 47.85/17.07  																																							|-The branch is then unsatisfiable
% 47.85/17.07  																																						|-Branch two:
% 47.85/17.07  																																						| (298)  ~ (all_0_92_92 = e2)
% 47.85/17.07  																																						| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.85/17.07  																																						|
% 47.85/17.07  																																							+-Applying beta-rule and splitting (3735), into two cases.
% 47.85/17.07  																																							|-Branch one:
% 47.85/17.07  																																							| (836) all_0_92_92 = e1
% 47.85/17.07  																																							|
% 47.85/17.07  																																								| Equations (836) can reduce 49 to:
% 47.85/17.07  																																								| (828)  ~ (all_0_80_80 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Equations (836) can reduce 1619 to:
% 47.85/17.07  																																								| (681)  ~ (e4 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Simplifying 681 yields:
% 47.85/17.07  																																								| (256)  ~ (e4 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Equations (836) can reduce 426 to:
% 47.85/17.07  																																								| (683)  ~ (e3 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Simplifying 683 yields:
% 47.85/17.07  																																								| (20)  ~ (e3 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Equations (836) can reduce 298 to:
% 47.85/17.07  																																								| (487)  ~ (e2 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								| Simplifying 487 yields:
% 47.85/17.07  																																								| (243)  ~ (e2 = e1)
% 47.85/17.07  																																								|
% 47.85/17.07  																																								+-Applying beta-rule and splitting (857), into two cases.
% 47.85/17.07  																																								|-Branch one:
% 47.85/17.07  																																								| (858) all_0_95_95 = e0
% 47.85/17.07  																																								|
% 47.85/17.07  																																									| Combining equations (858,14316) yields a new equation:
% 47.85/17.07  																																									| (9860) all_0_71_71 = e0
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Equations (858) can reduce 107 to:
% 47.85/17.07  																																									| (2058)  ~ (all_0_98_98 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Simplifying 2058 yields:
% 47.85/17.07  																																									| (2059)  ~ (all_0_98_98 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Equations (858) can reduce 765 to:
% 47.85/17.07  																																									| (906)  ~ (e3 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Simplifying 906 yields:
% 47.85/17.07  																																									| (50)  ~ (e3 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Equations (858) can reduce 355 to:
% 47.85/17.07  																																									| (510)  ~ (e2 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									| Simplifying 510 yields:
% 47.85/17.07  																																									| (76)  ~ (e2 = e0)
% 47.85/17.07  																																									|
% 47.85/17.07  																																									+-Applying beta-rule and splitting (108), into two cases.
% 47.85/17.07  																																									|-Branch one:
% 47.85/17.07  																																									| (477) all_0_81_81 = e1
% 47.85/17.07  																																									|
% 47.85/17.07  																																										| Equations (477) can reduce 144 to:
% 47.85/17.07  																																										| (828)  ~ (all_0_80_80 = e1)
% 47.85/17.07  																																										|
% 47.85/17.07  																																										| Equations (477) can reduce 5 to:
% 47.85/17.07  																																										| (1803)  ~ (all_0_98_98 = e1)
% 47.85/17.07  																																										|
% 47.85/17.07  																																										| Simplifying 1803 yields:
% 47.85/17.07  																																										| (1804)  ~ (all_0_98_98 = e1)
% 47.85/17.07  																																										|
% 47.85/17.07  																																										| Equations (477) can reduce 396 to:
% 47.85/17.07  																																										| (487)  ~ (e2 = e1)
% 47.85/17.07  																																										|
% 47.85/17.07  																																										| Simplifying 487 yields:
% 47.85/17.07  																																										| (243)  ~ (e2 = e1)
% 47.85/17.07  																																										|
% 47.85/17.07  																																										| From (477) and (145) follows:
% 47.85/17.07  																																										| (14221) op(e0, e1) = all_0_69_69
% 47.85/17.07  																																										|
% 47.85/17.07  																																										+-Applying beta-rule and splitting (210), into two cases.
% 47.85/17.07  																																										|-Branch one:
% 47.85/17.07  																																										| (433) all_0_80_80 = e4
% 47.85/17.07  																																										|
% 47.85/17.07  																																											| Equations (433) can reduce 2347 to:
% 47.85/17.07  																																											| (177)  ~ (e4 = e3)
% 47.85/17.07  																																											|
% 47.85/17.07  																																											| Equations (433) can reduce 828 to:
% 47.85/17.07  																																											| (256)  ~ (e4 = e1)
% 47.85/17.07  																																											|
% 47.85/17.07  																																											+-Applying beta-rule and splitting (168), into two cases.
% 47.85/17.07  																																											|-Branch one:
% 47.85/17.07  																																											| (638) all_0_81_81 = e4
% 47.85/17.07  																																											|
% 47.85/17.07  																																												| Combining equations (638,477) yields a new equation:
% 47.85/17.07  																																												| (813) e4 = e1
% 47.85/17.07  																																												|
% 47.85/17.07  																																												| Simplifying 813 yields:
% 47.85/17.07  																																												| (814) e4 = e1
% 47.85/17.07  																																												|
% 47.85/17.07  																																												| Equations (814) can reduce 256 to:
% 47.85/17.07  																																												| (311) $false
% 47.85/17.07  																																												|
% 47.85/17.07  																																												|-The branch is then unsatisfiable
% 47.85/17.07  																																											|-Branch two:
% 47.85/17.07  																																											| (634)  ~ (all_0_81_81 = e4)
% 47.85/17.07  																																											| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.85/17.07  																																											|
% 47.85/17.07  																																												+-Applying beta-rule and splitting (289), into two cases.
% 47.85/17.07  																																												|-Branch one:
% 47.85/17.07  																																												| (954) all_0_85_85 = e0
% 47.85/17.07  																																												|
% 47.85/17.07  																																													| Combining equations (804,954) yields a new equation:
% 47.85/17.07  																																													| (599) e3 = e0
% 47.85/17.07  																																													|
% 47.85/17.07  																																													| Simplifying 599 yields:
% 47.85/17.07  																																													| (600) e3 = e0
% 47.85/17.07  																																													|
% 47.85/17.07  																																													| Equations (600) can reduce 50 to:
% 47.85/17.07  																																													| (311) $false
% 47.85/17.07  																																													|
% 47.85/17.07  																																													|-The branch is then unsatisfiable
% 47.85/17.07  																																												|-Branch two:
% 47.85/17.07  																																												| (800)  ~ (all_0_85_85 = e0)
% 47.85/17.07  																																												| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.85/17.07  																																												|
% 47.85/17.07  																																													+-Applying beta-rule and splitting (48), into two cases.
% 47.85/17.07  																																													|-Branch one:
% 47.85/17.07  																																													| (525) all_0_98_98 = e2
% 47.85/17.07  																																													|
% 47.85/17.07  																																														| Equations (525) can reduce 1349 to:
% 47.85/17.07  																																														| (311) $false
% 47.85/17.07  																																														|
% 47.85/17.07  																																														|-The branch is then unsatisfiable
% 47.85/17.07  																																													|-Branch two:
% 47.85/17.07  																																													| (1349)  ~ (all_0_98_98 = e2)
% 47.85/17.07  																																													| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 47.85/17.07  																																													|
% 47.85/17.07  																																														+-Applying beta-rule and splitting (1077), into two cases.
% 47.85/17.07  																																														|-Branch one:
% 47.85/17.07  																																														| (507) all_0_88_88 = e0
% 47.85/17.07  																																														|
% 47.85/17.07  																																															| Combining equations (370,507) yields a new equation:
% 47.85/17.07  																																															| (923) e2 = e0
% 47.85/17.07  																																															|
% 47.85/17.07  																																															| Simplifying 923 yields:
% 47.85/17.07  																																															| (379) e2 = e0
% 47.85/17.07  																																															|
% 47.85/17.07  																																															| Equations (379) can reduce 76 to:
% 47.85/17.07  																																															| (311) $false
% 47.85/17.07  																																															|
% 47.85/17.07  																																															|-The branch is then unsatisfiable
% 47.85/17.07  																																														|-Branch two:
% 47.85/17.07  																																														| (1110)  ~ (all_0_88_88 = e0)
% 47.85/17.07  																																														| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.85/17.07  																																														|
% 47.85/17.07  																																															+-Applying beta-rule and splitting (5118), into two cases.
% 47.85/17.07  																																															|-Branch one:
% 47.85/17.07  																																															| (1543) all_0_98_98 = e1
% 47.85/17.07  																																															|
% 47.85/17.07  																																																| Equations (1543) can reduce 1804 to:
% 47.85/17.07  																																																| (311) $false
% 47.85/17.07  																																																|
% 47.85/17.07  																																																|-The branch is then unsatisfiable
% 47.85/17.07  																																															|-Branch two:
% 47.85/17.07  																																															| (1804)  ~ (all_0_98_98 = e1)
% 47.85/17.07  																																															| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 47.85/17.07  																																															|
% 47.85/17.07  																																																+-Applying beta-rule and splitting (1111), into two cases.
% 47.85/17.07  																																																|-Branch one:
% 47.85/17.07  																																																| (604) all_0_93_93 = e0
% 47.85/17.07  																																																|
% 47.85/17.07  																																																	| Equations (604) can reduce 496 to:
% 47.85/17.07  																																																	| (904)  ~ (e4 = e0)
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																	| Simplifying 904 yields:
% 47.85/17.07  																																																	| (23)  ~ (e4 = e0)
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																	| Equations (604) can reduce 602 to:
% 47.85/17.07  																																																	| (906)  ~ (e3 = e0)
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																	| Simplifying 906 yields:
% 47.85/17.07  																																																	| (50)  ~ (e3 = e0)
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																	| From (604) and (173) follows:
% 47.85/17.07  																																																	| (9825) op(e0, e0) = all_0_75_75
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																	+-Applying beta-rule and splitting (5122), into two cases.
% 47.85/17.07  																																																	|-Branch one:
% 47.85/17.07  																																																	| (969) all_0_98_98 = e3
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																		| Equations (969) can reduce 1519 to:
% 47.85/17.07  																																																		| (311) $false
% 47.85/17.07  																																																		|
% 47.85/17.07  																																																		|-The branch is then unsatisfiable
% 47.85/17.07  																																																	|-Branch two:
% 47.85/17.07  																																																	| (1519)  ~ (all_0_98_98 = e3)
% 47.85/17.07  																																																	| (5284) all_0_98_98 = e4 | all_0_98_98 = e0
% 47.85/17.07  																																																	|
% 47.85/17.07  																																																		+-Applying beta-rule and splitting (2559), into two cases.
% 47.85/17.07  																																																		|-Branch one:
% 47.85/17.07  																																																		| (493) all_0_85_85 = e4
% 47.85/17.07  																																																		|
% 47.85/17.07  																																																			| Combining equations (804,493) yields a new equation:
% 47.85/17.07  																																																			| (434) e4 = e3
% 47.85/17.07  																																																			|
% 47.85/17.07  																																																			| Equations (434) can reduce 177 to:
% 47.85/17.07  																																																			| (311) $false
% 47.85/17.07  																																																			|
% 47.85/17.07  																																																			|-The branch is then unsatisfiable
% 47.85/17.07  																																																		|-Branch two:
% 47.85/17.07  																																																		| (648)  ~ (all_0_85_85 = e4)
% 47.85/17.07  																																																		| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 47.85/17.07  																																																		|
% 47.85/17.07  																																																			+-Applying beta-rule and splitting (2576), into two cases.
% 47.85/17.07  																																																			|-Branch one:
% 47.85/17.07  																																																			| (607) all_0_93_93 = e4
% 47.85/17.07  																																																			|
% 47.85/17.07  																																																				| Combining equations (604,607) yields a new equation:
% 47.85/17.07  																																																				| (912) e4 = e0
% 47.85/17.07  																																																				|
% 47.85/17.07  																																																				| Equations (912) can reduce 23 to:
% 47.85/17.07  																																																				| (311) $false
% 47.85/17.07  																																																				|
% 47.85/17.07  																																																				|-The branch is then unsatisfiable
% 47.85/17.07  																																																			|-Branch two:
% 47.85/17.07  																																																			| (496)  ~ (all_0_93_93 = e4)
% 47.85/17.07  																																																			| (2650) all_0_98_98 = e4
% 47.85/17.07  																																																			|
% 47.86/17.07  																																																				| Equations (2650) can reduce 1519 to:
% 47.86/17.07  																																																				| (177)  ~ (e4 = e3)
% 47.86/17.07  																																																				|
% 47.86/17.08  																																																				| Equations (2650) can reduce 1804 to:
% 47.86/17.08  																																																				| (256)  ~ (e4 = e1)
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																				| From (2650) and (38) follows:
% 47.86/17.08  																																																				| (37418) op(e0, e0) = e4
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																				| Instantiating formula (262) with e0, e1, e3, all_0_69_69 and discharging atoms op(e0, e1) = all_0_69_69, op(e0, e1) = e3, yields:
% 47.86/17.08  																																																				| (1902) all_0_69_69 = e3
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																				| Instantiating formula (262) with e0, e0, e4, all_0_75_75 and discharging atoms op(e0, e0) = all_0_75_75, op(e0, e0) = e4, yields:
% 47.86/17.08  																																																				| (1966) all_0_75_75 = e4
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																				+-Applying beta-rule and splitting (89), into two cases.
% 47.86/17.08  																																																				|-Branch one:
% 47.86/17.08  																																																				| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																					+-Applying beta-rule and splitting (1373), into two cases.
% 47.86/17.08  																																																					|-Branch one:
% 47.86/17.08  																																																					| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																						+-Applying beta-rule and splitting (1374), into two cases.
% 47.86/17.08  																																																						|-Branch one:
% 47.86/17.08  																																																						| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.86/17.08  																																																						|
% 47.86/17.08  																																																							| Applying alpha-rule on (1375) yields:
% 47.86/17.08  																																																							| (1376) all_0_69_69 = e4
% 47.86/17.08  																																																							| (1377)  ~ (all_0_70_70 = e0)
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							| Combining equations (1376,1902) yields a new equation:
% 47.86/17.08  																																																							| (790) e4 = e3
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							| Simplifying 790 yields:
% 47.86/17.08  																																																							| (434) e4 = e3
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							| Equations (434) can reduce 177 to:
% 47.86/17.08  																																																							| (311) $false
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							|-The branch is then unsatisfiable
% 47.86/17.08  																																																						|-Branch two:
% 47.86/17.08  																																																						| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.86/17.08  																																																						|
% 47.86/17.08  																																																							| Applying alpha-rule on (1379) yields:
% 47.86/17.08  																																																							| (1380) all_0_71_71 = e3
% 47.86/17.08  																																																							| (1381)  ~ (all_0_72_72 = e0)
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							| Combining equations (9860,1380) yields a new equation:
% 47.86/17.08  																																																							| (600) e3 = e0
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							| Equations (600) can reduce 50 to:
% 47.86/17.08  																																																							| (311) $false
% 47.86/17.08  																																																							|
% 47.86/17.08  																																																							|-The branch is then unsatisfiable
% 47.86/17.08  																																																					|-Branch two:
% 47.86/17.08  																																																					| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																						| Applying alpha-rule on (1385) yields:
% 47.86/17.08  																																																						| (1386) all_0_73_73 = e2
% 47.86/17.08  																																																						| (1387)  ~ (all_0_74_74 = e0)
% 47.86/17.08  																																																						|
% 47.86/17.08  																																																						| Combining equations (2602,1386) yields a new equation:
% 47.86/17.08  																																																						| (385) e2 = e1
% 47.86/17.08  																																																						|
% 47.86/17.08  																																																						| Equations (385) can reduce 243 to:
% 47.86/17.08  																																																						| (311) $false
% 47.86/17.08  																																																						|
% 47.86/17.08  																																																						|-The branch is then unsatisfiable
% 47.86/17.08  																																																				|-Branch two:
% 47.86/17.08  																																																				| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.86/17.08  																																																				|
% 47.86/17.08  																																																					| Applying alpha-rule on (1391) yields:
% 47.86/17.08  																																																					| (1392) all_0_75_75 = e1
% 47.86/17.08  																																																					| (1393)  ~ (all_0_76_76 = e0)
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																					| Combining equations (1966,1392) yields a new equation:
% 47.86/17.08  																																																					| (813) e4 = e1
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																					| Simplifying 813 yields:
% 47.86/17.08  																																																					| (814) e4 = e1
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																					| Equations (814) can reduce 256 to:
% 47.86/17.08  																																																					| (311) $false
% 47.86/17.08  																																																					|
% 47.86/17.08  																																																					|-The branch is then unsatisfiable
% 47.86/17.08  																																																|-Branch two:
% 47.86/17.08  																																																| (509)  ~ (all_0_93_93 = e0)
% 47.86/17.08  																																																| (1121) all_0_98_98 = e0
% 47.86/17.08  																																																|
% 47.86/17.08  																																																	| Equations (1121) can reduce 2059 to:
% 47.86/17.08  																																																	| (311) $false
% 47.86/17.08  																																																	|
% 47.86/17.08  																																																	|-The branch is then unsatisfiable
% 47.86/17.08  																																										|-Branch two:
% 47.86/17.08  																																										| (436)  ~ (all_0_80_80 = e4)
% 47.86/17.08  																																										| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.86/17.08  																																										|
% 47.86/17.08  																																											+-Applying beta-rule and splitting (168), into two cases.
% 47.86/17.08  																																											|-Branch one:
% 47.86/17.08  																																											| (638) all_0_81_81 = e4
% 47.86/17.08  																																											|
% 47.86/17.08  																																												| Combining equations (638,477) yields a new equation:
% 47.86/17.08  																																												| (813) e4 = e1
% 47.86/17.08  																																												|
% 47.86/17.08  																																												| Simplifying 813 yields:
% 47.86/17.08  																																												| (814) e4 = e1
% 47.86/17.08  																																												|
% 47.86/17.08  																																												| Equations (814) can reduce 256 to:
% 47.86/17.08  																																												| (311) $false
% 47.86/17.08  																																												|
% 47.86/17.08  																																												|-The branch is then unsatisfiable
% 47.86/17.08  																																											|-Branch two:
% 47.86/17.08  																																											| (634)  ~ (all_0_81_81 = e4)
% 47.86/17.08  																																											| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.86/17.08  																																											|
% 47.86/17.08  																																												| Equations (477) can reduce 634 to:
% 47.86/17.08  																																												| (681)  ~ (e4 = e1)
% 47.86/17.08  																																												|
% 47.86/17.08  																																												| Simplifying 681 yields:
% 47.86/17.08  																																												| (256)  ~ (e4 = e1)
% 47.86/17.08  																																												|
% 47.86/17.08  																																												+-Applying beta-rule and splitting (641), into two cases.
% 47.86/17.08  																																												|-Branch one:
% 47.86/17.08  																																												| (433) all_0_80_80 = e4
% 47.86/17.08  																																												|
% 47.86/17.08  																																													| Equations (433) can reduce 436 to:
% 47.86/17.08  																																													| (311) $false
% 47.86/17.08  																																													|
% 47.86/17.08  																																													|-The branch is then unsatisfiable
% 47.86/17.08  																																												|-Branch two:
% 47.86/17.08  																																												| (436)  ~ (all_0_80_80 = e4)
% 47.86/17.08  																																												| (638) all_0_81_81 = e4
% 47.86/17.08  																																												|
% 47.86/17.08  																																													| Combining equations (638,477) yields a new equation:
% 47.86/17.08  																																													| (813) e4 = e1
% 47.86/17.08  																																													|
% 47.86/17.08  																																													| Simplifying 813 yields:
% 47.86/17.08  																																													| (814) e4 = e1
% 47.86/17.08  																																													|
% 47.86/17.08  																																													| Equations (814) can reduce 256 to:
% 47.86/17.08  																																													| (311) $false
% 47.86/17.08  																																													|
% 47.86/17.08  																																													|-The branch is then unsatisfiable
% 47.86/17.08  																																									|-Branch two:
% 47.86/17.08  																																									| (628)  ~ (all_0_81_81 = e1)
% 47.86/17.08  																																									| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.86/17.08  																																									|
% 47.86/17.08  																																										+-Applying beta-rule and splitting (129), into two cases.
% 47.86/17.08  																																										|-Branch one:
% 47.86/17.08  																																										| (676) all_0_78_78 = e1
% 47.86/17.08  																																										|
% 47.86/17.08  																																											| Combining equations (676,400) yields a new equation:
% 47.86/17.08  																																											| (385) e2 = e1
% 47.86/17.08  																																											|
% 47.86/17.08  																																											| Equations (385) can reduce 243 to:
% 47.86/17.08  																																											| (311) $false
% 47.86/17.08  																																											|
% 47.86/17.08  																																											|-The branch is then unsatisfiable
% 47.86/17.08  																																										|-Branch two:
% 47.86/17.08  																																										| (1601)  ~ (all_0_78_78 = e1)
% 47.86/17.08  																																										| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.86/17.08  																																										|
% 47.86/17.08  																																											+-Applying beta-rule and splitting (1602), into two cases.
% 47.86/17.08  																																											|-Branch one:
% 47.86/17.08  																																											| (457) all_0_79_79 = e1
% 47.86/17.08  																																											|
% 47.86/17.08  																																												| Combining equations (457,1708) yields a new equation:
% 47.86/17.08  																																												| (772) e3 = e1
% 47.86/17.08  																																												|
% 47.86/17.08  																																												| Equations (772) can reduce 20 to:
% 47.86/17.08  																																												| (311) $false
% 47.86/17.08  																																												|
% 47.86/17.08  																																												|-The branch is then unsatisfiable
% 47.86/17.08  																																											|-Branch two:
% 47.86/17.08  																																											| (461)  ~ (all_0_79_79 = e1)
% 47.86/17.08  																																											| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 47.86/17.08  																																											|
% 47.86/17.08  																																												+-Applying beta-rule and splitting (8180), into two cases.
% 47.86/17.08  																																												|-Branch one:
% 47.86/17.08  																																												| (824) all_0_80_80 = e1
% 47.86/17.08  																																												|
% 47.86/17.08  																																													| Equations (824) can reduce 828 to:
% 47.86/17.08  																																													| (311) $false
% 47.86/17.08  																																													|
% 47.86/17.08  																																													|-The branch is then unsatisfiable
% 47.86/17.08  																																												|-Branch two:
% 47.86/17.08  																																												| (828)  ~ (all_0_80_80 = e1)
% 47.86/17.08  																																												| (477) all_0_81_81 = e1
% 47.86/17.08  																																												|
% 47.86/17.08  																																													| Equations (477) can reduce 628 to:
% 47.86/17.08  																																													| (311) $false
% 47.86/17.08  																																													|
% 47.86/17.08  																																													|-The branch is then unsatisfiable
% 47.86/17.08  																																								|-Branch two:
% 47.86/17.08  																																								| (893)  ~ (all_0_95_95 = e0)
% 47.86/17.08  																																								| (894) all_0_95_95 = e4
% 47.86/17.08  																																								|
% 47.86/17.08  																																									| Equations (894) can reduce 315 to:
% 47.86/17.08  																																									| (311) $false
% 47.86/17.08  																																									|
% 47.86/17.08  																																									|-The branch is then unsatisfiable
% 47.86/17.08  																																							|-Branch two:
% 47.86/17.08  																																							| (840)  ~ (all_0_92_92 = e1)
% 47.86/17.08  																																							| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 47.86/17.08  																																							|
% 47.86/17.08  																																								+-Applying beta-rule and splitting (3800), into two cases.
% 47.86/17.08  																																								|-Branch one:
% 47.86/17.08  																																								| (882) all_0_92_92 = e3
% 47.86/17.08  																																								|
% 47.86/17.08  																																									| Equations (882) can reduce 426 to:
% 47.86/17.08  																																									| (311) $false
% 47.86/17.08  																																									|
% 47.86/17.08  																																									|-The branch is then unsatisfiable
% 47.86/17.08  																																								|-Branch two:
% 47.86/17.08  																																								| (426)  ~ (all_0_92_92 = e3)
% 47.86/17.08  																																								| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 47.86/17.08  																																								|
% 47.86/17.08  																																									+-Applying beta-rule and splitting (16683), into two cases.
% 47.86/17.08  																																									|-Branch one:
% 47.86/17.08  																																									| (942) all_0_92_92 = e0
% 47.86/17.08  																																									|
% 47.86/17.08  																																										| Equations (942) can reduce 946 to:
% 47.86/17.08  																																										| (311) $false
% 47.86/17.08  																																										|
% 47.86/17.08  																																										|-The branch is then unsatisfiable
% 47.86/17.08  																																									|-Branch two:
% 47.86/17.08  																																									| (946)  ~ (all_0_92_92 = e0)
% 47.86/17.08  																																									| (442) all_0_92_92 = e4
% 47.86/17.08  																																									|
% 47.86/17.08  																																										| Equations (442) can reduce 1619 to:
% 47.86/17.08  																																										| (311) $false
% 47.86/17.08  																																										|
% 47.86/17.08  																																										|-The branch is then unsatisfiable
% 47.86/17.08  																																				|-Branch two:
% 47.86/17.08  																																				| (428)  ~ (all_0_97_97 = e3)
% 47.86/17.08  																																				| (969) all_0_98_98 = e3
% 47.86/17.08  																																				|
% 47.86/17.08  																																					| Equations (969) can reduce 1519 to:
% 47.86/17.08  																																					| (311) $false
% 47.86/17.08  																																					|
% 47.86/17.08  																																					|-The branch is then unsatisfiable
% 47.86/17.08  																																			|-Branch two:
% 47.86/17.08  																																			| (745)  ~ (all_0_90_90 = e3)
% 47.86/17.08  																																			| (744) all_0_95_95 = e3
% 47.86/17.08  																																			|
% 47.86/17.08  																																				| Equations (744) can reduce 765 to:
% 47.86/17.08  																																				| (311) $false
% 47.86/17.08  																																				|
% 47.86/17.08  																																				|-The branch is then unsatisfiable
% 47.86/17.08  																								|-Branch two:
% 47.86/17.08  																								| (465)  ~ (all_0_82_82 = e4)
% 47.86/17.08  																								| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.86/17.08  																								|
% 47.86/17.08  																									+-Applying beta-rule and splitting (4), into two cases.
% 47.86/17.08  																									|-Branch one:
% 47.86/17.08  																									| (463) all_0_78_78 = e4
% 47.86/17.08  																									|
% 47.86/17.08  																										| Combining equations (400,463) yields a new equation:
% 47.86/17.08  																										| (310) e4 = e2
% 47.86/17.08  																										|
% 47.86/17.08  																										| Equations (310) can reduce 79 to:
% 47.86/17.08  																										| (311) $false
% 47.86/17.08  																										|
% 47.86/17.08  																										|-The branch is then unsatisfiable
% 47.86/17.08  																									|-Branch two:
% 47.86/17.08  																									| (640)  ~ (all_0_78_78 = e4)
% 47.86/17.08  																									| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.86/17.08  																									|
% 47.86/17.08  																										+-Applying beta-rule and splitting (3625), into two cases.
% 47.86/17.08  																										|-Branch one:
% 47.86/17.08  																										| (469) all_0_82_82 = e4
% 47.86/17.08  																										|
% 47.86/17.08  																											| Equations (469) can reduce 465 to:
% 47.86/17.08  																											| (311) $false
% 47.86/17.08  																											|
% 47.86/17.08  																											|-The branch is then unsatisfiable
% 47.86/17.08  																										|-Branch two:
% 47.86/17.08  																										| (465)  ~ (all_0_82_82 = e4)
% 47.86/17.08  																										| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.86/17.08  																										|
% 47.86/17.08  																											+-Applying beta-rule and splitting (3629), into two cases.
% 47.86/17.08  																											|-Branch one:
% 47.86/17.08  																											| (583) all_0_90_90 = e4
% 47.86/17.08  																											|
% 47.86/17.08  																												| Equations (583) can reduce 467 to:
% 47.86/17.08  																												| (311) $false
% 47.86/17.08  																												|
% 47.86/17.08  																												|-The branch is then unsatisfiable
% 47.86/17.08  																											|-Branch two:
% 47.86/17.08  																											| (467)  ~ (all_0_90_90 = e4)
% 47.86/17.09  																											| (894) all_0_95_95 = e4
% 47.86/17.09  																											|
% 47.86/17.09  																												| Equations (894) can reduce 105 to:
% 47.86/17.09  																												| (318)  ~ (all_0_97_97 = e4)
% 47.86/17.09  																												|
% 47.86/17.09  																												| Simplifying 318 yields:
% 47.86/17.09  																												| (319)  ~ (all_0_97_97 = e4)
% 47.86/17.09  																												|
% 47.86/17.09  																												| Equations (894) can reduce 107 to:
% 47.86/17.09  																												| (320)  ~ (all_0_98_98 = e4)
% 47.86/17.09  																												|
% 47.86/17.09  																												| Simplifying 320 yields:
% 47.86/17.09  																												| (321)  ~ (all_0_98_98 = e4)
% 47.86/17.09  																												|
% 47.86/17.09  																												| From (894) and (275) follows:
% 47.86/17.09  																												| (19344) op(e0, e3) = e4
% 47.86/17.09  																												|
% 47.86/17.09  																												+-Applying beta-rule and splitting (254), into two cases.
% 47.86/17.09  																												|-Branch one:
% 47.86/17.09  																												| (910) all_0_82_82 = e0
% 47.86/17.09  																												|
% 47.86/17.09  																													| Equations (910) can reduce 914 to:
% 47.86/17.09  																													| (311) $false
% 47.86/17.09  																													|
% 47.86/17.09  																													|-The branch is then unsatisfiable
% 47.86/17.09  																												|-Branch two:
% 47.86/17.09  																												| (914)  ~ (all_0_82_82 = e0)
% 47.86/17.09  																												| (915) all_0_86_86 = e0 | all_0_90_90 = e0 | all_0_95_95 = e0
% 47.86/17.09  																												|
% 47.86/17.09  																													+-Applying beta-rule and splitting (102), into two cases.
% 47.86/17.09  																													|-Branch one:
% 47.86/17.09  																													| (858) all_0_95_95 = e0
% 47.86/17.09  																													|
% 47.86/17.09  																														| Combining equations (894,858) yields a new equation:
% 47.86/17.09  																														| (911) e4 = e0
% 47.86/17.09  																														|
% 47.86/17.09  																														| Simplifying 911 yields:
% 47.86/17.09  																														| (912) e4 = e0
% 47.86/17.09  																														|
% 47.86/17.09  																														| Equations (912) can reduce 23 to:
% 47.86/17.09  																														| (311) $false
% 47.86/17.09  																														|
% 47.86/17.09  																														|-The branch is then unsatisfiable
% 47.86/17.09  																													|-Branch two:
% 47.86/17.09  																													| (893)  ~ (all_0_95_95 = e0)
% 47.86/17.09  																													| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.86/17.09  																													|
% 47.86/17.09  																														+-Applying beta-rule and splitting (1921), into two cases.
% 47.86/17.09  																														|-Branch one:
% 47.86/17.09  																														| (1837) all_0_96_96 = e0
% 47.86/17.09  																														|
% 47.86/17.09  																															| Combining equations (1837,960) yields a new equation:
% 47.86/17.09  																															| (865) e1 = e0
% 47.86/17.09  																															|
% 47.86/17.09  																															| Equations (865) can reduce 264 to:
% 47.86/17.09  																															| (311) $false
% 47.86/17.09  																															|
% 47.86/17.09  																															|-The branch is then unsatisfiable
% 47.86/17.09  																														|-Branch two:
% 47.86/17.09  																														| (2095)  ~ (all_0_96_96 = e0)
% 47.86/17.09  																														| (2096) all_0_97_97 = e0 | all_0_98_98 = e0
% 47.86/17.09  																														|
% 47.86/17.09  																															| Equations (960) can reduce 2095 to:
% 47.86/17.09  																															| (264)  ~ (e1 = e0)
% 47.86/17.09  																															|
% 47.86/17.09  																															+-Applying beta-rule and splitting (210), into two cases.
% 47.86/17.09  																															|-Branch one:
% 47.86/17.09  																															| (433) all_0_80_80 = e4
% 47.86/17.09  																															|
% 47.86/17.09  																																| Equations (433) can reduce 144 to:
% 47.86/17.09  																																| (1730)  ~ (all_0_81_81 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																| Simplifying 1730 yields:
% 47.86/17.09  																																| (634)  ~ (all_0_81_81 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																| Equations (433) can reduce 49 to:
% 47.86/17.09  																																| (1906)  ~ (all_0_92_92 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																| Simplifying 1906 yields:
% 47.86/17.09  																																| (1619)  ~ (all_0_92_92 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																| Equations (433) can reduce 202 to:
% 47.86/17.09  																																| (318)  ~ (all_0_97_97 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																| Simplifying 318 yields:
% 47.86/17.09  																																| (319)  ~ (all_0_97_97 = e4)
% 47.86/17.09  																																|
% 47.86/17.09  																																+-Applying beta-rule and splitting (112), into two cases.
% 47.86/17.09  																																|-Branch one:
% 47.86/17.09  																																| (538) all_0_97_97 = e2
% 47.86/17.09  																																|
% 47.86/17.09  																																	| Equations (538) can reduce 527 to:
% 47.86/17.09  																																	| (311) $false
% 47.86/17.09  																																	|
% 47.86/17.09  																																	|-The branch is then unsatisfiable
% 47.86/17.09  																																|-Branch two:
% 47.86/17.09  																																| (527)  ~ (all_0_97_97 = e2)
% 47.86/17.09  																																| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 47.86/17.09  																																|
% 47.86/17.09  																																	+-Applying beta-rule and splitting (129), into two cases.
% 47.86/17.09  																																	|-Branch one:
% 47.86/17.09  																																	| (676) all_0_78_78 = e1
% 47.86/17.09  																																	|
% 47.86/17.09  																																		| Combining equations (400,676) yields a new equation:
% 47.86/17.09  																																		| (408) e2 = e1
% 47.86/17.09  																																		|
% 47.86/17.09  																																		| Simplifying 408 yields:
% 47.86/17.09  																																		| (385) e2 = e1
% 47.86/17.09  																																		|
% 47.86/17.09  																																		| Equations (385) can reduce 243 to:
% 47.86/17.09  																																		| (311) $false
% 47.86/17.09  																																		|
% 47.86/17.09  																																		|-The branch is then unsatisfiable
% 47.86/17.09  																																	|-Branch two:
% 47.86/17.09  																																	| (1601)  ~ (all_0_78_78 = e1)
% 47.86/17.09  																																	| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.86/17.09  																																	|
% 47.86/17.09  																																		+-Applying beta-rule and splitting (123), into two cases.
% 47.86/17.09  																																		|-Branch one:
% 47.86/17.09  																																		| (473) all_0_81_81 = e2
% 47.86/17.09  																																		|
% 47.86/17.09  																																			| Equations (473) can reduce 396 to:
% 47.86/17.09  																																			| (311) $false
% 47.86/17.09  																																			|
% 47.86/17.09  																																			|-The branch is then unsatisfiable
% 47.86/17.09  																																		|-Branch two:
% 47.86/17.09  																																		| (396)  ~ (all_0_81_81 = e2)
% 47.86/17.09  																																		| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.86/17.09  																																		|
% 47.86/17.09  																																			+-Applying beta-rule and splitting (1602), into two cases.
% 47.86/17.09  																																			|-Branch one:
% 47.86/17.09  																																			| (457) all_0_79_79 = e1
% 47.86/17.09  																																			|
% 47.86/17.09  																																				| Combining equations (457,1708) yields a new equation:
% 47.86/17.09  																																				| (772) e3 = e1
% 47.86/17.09  																																				|
% 47.86/17.09  																																				| Equations (772) can reduce 20 to:
% 47.86/17.09  																																				| (311) $false
% 47.86/17.09  																																				|
% 47.86/17.09  																																				|-The branch is then unsatisfiable
% 47.86/17.09  																																			|-Branch two:
% 47.86/17.09  																																			| (461)  ~ (all_0_79_79 = e1)
% 47.86/17.09  																																			| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 47.86/17.09  																																			|
% 47.86/17.09  																																				+-Applying beta-rule and splitting (541), into two cases.
% 47.86/17.09  																																				|-Branch one:
% 47.86/17.09  																																				| (542) all_0_97_97 = e1
% 47.86/17.09  																																				|
% 47.86/17.09  																																					| Equations (542) can reduce 486 to:
% 47.86/17.09  																																					| (311) $false
% 47.86/17.09  																																					|
% 47.86/17.09  																																					|-The branch is then unsatisfiable
% 47.86/17.09  																																				|-Branch two:
% 47.86/17.09  																																				| (486)  ~ (all_0_97_97 = e1)
% 47.86/17.09  																																				| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 47.86/17.09  																																				|
% 47.86/17.09  																																					+-Applying beta-rule and splitting (168), into two cases.
% 47.86/17.09  																																					|-Branch one:
% 47.86/17.09  																																					| (638) all_0_81_81 = e4
% 47.86/17.09  																																					|
% 47.86/17.09  																																						| Equations (638) can reduce 634 to:
% 47.86/17.09  																																						| (311) $false
% 47.86/17.09  																																						|
% 47.86/17.09  																																						|-The branch is then unsatisfiable
% 47.86/17.09  																																					|-Branch two:
% 47.86/17.09  																																					| (634)  ~ (all_0_81_81 = e4)
% 47.86/17.09  																																					| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 47.86/17.09  																																					|
% 47.86/17.09  																																						+-Applying beta-rule and splitting (2559), into two cases.
% 47.86/17.09  																																						|-Branch one:
% 47.86/17.09  																																						| (493) all_0_85_85 = e4
% 47.86/17.09  																																						|
% 47.86/17.09  																																							| Equations (493) can reduce 201 to:
% 47.86/17.09  																																							| (495)  ~ (all_0_93_93 = e4)
% 47.86/17.09  																																							|
% 47.86/17.09  																																							| Simplifying 495 yields:
% 47.86/17.09  																																							| (496)  ~ (all_0_93_93 = e4)
% 47.86/17.09  																																							|
% 47.86/17.09  																																							| Equations (493) can reduce 75 to:
% 47.86/17.09  																																							| (320)  ~ (all_0_98_98 = e4)
% 47.86/17.09  																																							|
% 47.86/17.09  																																							| Simplifying 320 yields:
% 47.86/17.09  																																							| (321)  ~ (all_0_98_98 = e4)
% 47.86/17.09  																																							|
% 47.86/17.09  																																							| Equations (493) can reduce 128 to:
% 47.86/17.09  																																							| (256)  ~ (e4 = e1)
% 47.86/17.09  																																							|
% 47.86/17.09  																																							| From (493) and (26) follows:
% 47.86/17.09  																																							| (2742) op(e0, e4) = all_0_71_71
% 47.86/17.09  																																							|
% 47.86/17.09  																																							+-Applying beta-rule and splitting (545), into two cases.
% 47.86/17.09  																																							|-Branch one:
% 47.86/17.09  																																							| (556) all_0_97_97 = e3
% 47.86/17.09  																																							|
% 47.86/17.09  																																								| Equations (556) can reduce 609 to:
% 47.86/17.09  																																								| (50)  ~ (e3 = e0)
% 47.86/17.09  																																								|
% 47.86/17.09  																																								| From (556) and (69) follows:
% 47.86/17.09  																																								| (45349) op(e0, e3) = all_0_68_68
% 47.86/17.09  																																								|
% 47.86/17.09  																																								| From (556) and (147) follows:
% 47.86/17.09  																																								| (13234) op(e0, e1) = e3
% 47.86/17.09  																																								|
% 47.86/17.09  																																								+-Applying beta-rule and splitting (119), into two cases.
% 47.86/17.09  																																								|-Branch one:
% 47.86/17.09  																																								| (1343) all_0_92_92 = e2
% 47.86/17.09  																																								|
% 47.86/17.09  																																									| Equations (1343) can reduce 298 to:
% 47.86/17.09  																																									| (311) $false
% 47.86/17.09  																																									|
% 47.86/17.09  																																									|-The branch is then unsatisfiable
% 47.86/17.09  																																								|-Branch two:
% 47.86/17.09  																																								| (298)  ~ (all_0_92_92 = e2)
% 47.86/17.09  																																								| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 47.86/17.09  																																								|
% 47.86/17.09  																																									+-Applying beta-rule and splitting (915), into two cases.
% 47.86/17.09  																																									|-Branch one:
% 47.86/17.09  																																									| (378) all_0_86_86 = e0
% 47.86/17.09  																																									|
% 47.86/17.09  																																										| Combining equations (384,378) yields a new equation:
% 47.86/17.09  																																										| (1107) e1 = e0
% 47.86/17.09  																																										|
% 47.86/17.09  																																										| Simplifying 1107 yields:
% 47.86/17.09  																																										| (865) e1 = e0
% 47.86/17.09  																																										|
% 47.86/17.09  																																										| Equations (865) can reduce 264 to:
% 47.86/17.09  																																										| (311) $false
% 47.86/17.09  																																										|
% 47.86/17.09  																																										|-The branch is then unsatisfiable
% 47.86/17.09  																																									|-Branch two:
% 47.86/17.09  																																									| (381)  ~ (all_0_86_86 = e0)
% 47.86/17.09  																																									| (927) all_0_90_90 = e0 | all_0_95_95 = e0
% 47.86/17.09  																																									|
% 47.86/17.09  																																										+-Applying beta-rule and splitting (8180), into two cases.
% 47.86/17.09  																																										|-Branch one:
% 47.86/17.09  																																										| (824) all_0_80_80 = e1
% 47.86/17.09  																																										|
% 47.86/17.09  																																											| Combining equations (824,433) yields a new equation:
% 47.86/17.09  																																											| (814) e4 = e1
% 47.86/17.09  																																											|
% 47.86/17.09  																																											| Equations (814) can reduce 256 to:
% 47.86/17.09  																																											| (311) $false
% 47.86/17.09  																																											|
% 47.86/17.09  																																											|-The branch is then unsatisfiable
% 47.86/17.09  																																										|-Branch two:
% 47.86/17.09  																																										| (828)  ~ (all_0_80_80 = e1)
% 47.86/17.09  																																										| (477) all_0_81_81 = e1
% 47.86/17.09  																																										|
% 47.86/17.09  																																											| Equations (477) can reduce 277 to:
% 47.86/17.09  																																											| (480)  ~ (all_0_93_93 = e1)
% 47.86/17.09  																																											|
% 47.86/17.09  																																											| Simplifying 480 yields:
% 47.86/17.09  																																											| (481)  ~ (all_0_93_93 = e1)
% 47.86/17.09  																																											|
% 47.86/17.09  																																											| Equations (477) can reduce 396 to:
% 47.86/17.09  																																											| (487)  ~ (e2 = e1)
% 47.86/17.09  																																											|
% 47.86/17.09  																																											| Simplifying 487 yields:
% 47.86/17.09  																																											| (243)  ~ (e2 = e1)
% 47.86/17.09  																																											|
% 47.86/17.09  																																											| From (477) and (145) follows:
% 47.86/17.09  																																											| (14221) op(e0, e1) = all_0_69_69
% 47.86/17.09  																																											|
% 47.86/17.09  																																											+-Applying beta-rule and splitting (132), into two cases.
% 47.86/17.09  																																											|-Branch one:
% 47.86/17.09  																																											| (750) all_0_90_90 = e1
% 47.86/17.09  																																											|
% 47.86/17.09  																																												| Equations (750) can reduce 678 to:
% 47.86/17.09  																																												| (311) $false
% 47.86/17.09  																																												|
% 47.86/17.09  																																												|-The branch is then unsatisfiable
% 47.86/17.09  																																											|-Branch two:
% 47.86/17.09  																																											| (678)  ~ (all_0_90_90 = e1)
% 47.86/17.09  																																											| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 47.86/17.09  																																											|
% 47.86/17.09  																																												+-Applying beta-rule and splitting (2096), into two cases.
% 47.86/17.09  																																												|-Branch one:
% 47.86/17.09  																																												| (560) all_0_97_97 = e0
% 47.86/17.09  																																												|
% 47.86/17.09  																																													| Combining equations (556,560) yields a new equation:
% 47.86/17.09  																																													| (599) e3 = e0
% 47.86/17.09  																																													|
% 47.86/17.09  																																													| Simplifying 599 yields:
% 47.86/17.09  																																													| (600) e3 = e0
% 47.86/17.09  																																													|
% 47.86/17.09  																																													| Equations (600) can reduce 50 to:
% 47.86/17.09  																																													| (311) $false
% 47.86/17.09  																																													|
% 47.86/17.09  																																													|-The branch is then unsatisfiable
% 47.86/17.09  																																												|-Branch two:
% 47.86/17.09  																																												| (609)  ~ (all_0_97_97 = e0)
% 47.86/17.09  																																												| (1121) all_0_98_98 = e0
% 47.86/17.09  																																												|
% 47.86/17.09  																																													| Equations (1121) can reduce 321 to:
% 47.86/17.09  																																													| (904)  ~ (e4 = e0)
% 47.86/17.09  																																													|
% 47.86/17.09  																																													| Simplifying 904 yields:
% 47.86/17.09  																																													| (23)  ~ (e4 = e0)
% 47.86/17.09  																																													|
% 47.86/17.09  																																													+-Applying beta-rule and splitting (1526), into two cases.
% 47.86/17.09  																																													|-Branch one:
% 47.86/17.09  																																													| (801) all_0_91_91 = e1
% 47.86/17.09  																																													|
% 47.86/17.09  																																														| Combining equations (801,1723) yields a new equation:
% 47.86/17.09  																																														| (385) e2 = e1
% 47.86/17.09  																																														|
% 47.86/17.09  																																														| Equations (385) can reduce 243 to:
% 47.86/17.09  																																														| (311) $false
% 47.86/17.09  																																														|
% 47.86/17.09  																																														|-The branch is then unsatisfiable
% 47.86/17.09  																																													|-Branch two:
% 47.86/17.09  																																													| (959)  ~ (all_0_91_91 = e1)
% 47.86/17.09  																																													| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 47.86/17.09  																																													|
% 47.86/17.09  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 47.86/17.09  																																														|-Branch one:
% 47.86/17.09  																																														| (836) all_0_92_92 = e1
% 47.86/17.09  																																														|
% 47.86/17.09  																																															| Equations (836) can reduce 283 to:
% 47.86/17.09  																																															| (480)  ~ (all_0_93_93 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															| Simplifying 480 yields:
% 47.86/17.09  																																															| (481)  ~ (all_0_93_93 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															| Equations (836) can reduce 1619 to:
% 47.86/17.09  																																															| (681)  ~ (e4 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															| Simplifying 681 yields:
% 47.86/17.09  																																															| (256)  ~ (e4 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															| Equations (836) can reduce 298 to:
% 47.86/17.09  																																															| (487)  ~ (e2 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															| Simplifying 487 yields:
% 47.86/17.09  																																															| (243)  ~ (e2 = e1)
% 47.86/17.09  																																															|
% 47.86/17.09  																																															+-Applying beta-rule and splitting (927), into two cases.
% 47.86/17.09  																																															|-Branch one:
% 47.86/17.09  																																															| (758) all_0_90_90 = e0
% 47.86/17.09  																																															|
% 47.86/17.09  																																																| Equations (758) can reduce 34 to:
% 47.86/17.09  																																																| (508)  ~ (all_0_93_93 = e0)
% 47.86/17.09  																																																|
% 47.86/17.09  																																																| Simplifying 508 yields:
% 47.86/17.09  																																																| (509)  ~ (all_0_93_93 = e0)
% 47.86/17.09  																																																|
% 47.86/17.09  																																																+-Applying beta-rule and splitting (65), into two cases.
% 47.86/17.09  																																																|-Branch one:
% 47.86/17.09  																																																| (522) all_0_93_93 = e2
% 47.86/17.09  																																																|
% 47.86/17.09  																																																	| Equations (522) can reduce 300 to:
% 47.86/17.09  																																																	| (311) $false
% 47.86/17.09  																																																	|
% 47.86/17.09  																																																	|-The branch is then unsatisfiable
% 47.86/17.09  																																																|-Branch two:
% 47.86/17.09  																																																| (300)  ~ (all_0_93_93 = e2)
% 47.86/17.09  																																																| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 47.86/17.09  																																																|
% 47.86/17.09  																																																	+-Applying beta-rule and splitting (565), into two cases.
% 47.86/17.09  																																																	|-Branch one:
% 47.86/17.09  																																																	| (566) all_0_93_93 = e1
% 47.86/17.09  																																																	|
% 47.86/17.09  																																																		| Equations (566) can reduce 481 to:
% 47.86/17.09  																																																		| (311) $false
% 47.86/17.09  																																																		|
% 47.86/17.09  																																																		|-The branch is then unsatisfiable
% 47.86/17.09  																																																	|-Branch two:
% 47.86/17.09  																																																	| (481)  ~ (all_0_93_93 = e1)
% 47.86/17.09  																																																	| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 47.86/17.09  																																																	|
% 47.86/17.09  																																																		+-Applying beta-rule and splitting (569), into two cases.
% 47.86/17.09  																																																		|-Branch one:
% 47.86/17.09  																																																		| (570) all_0_93_93 = e3
% 47.86/17.09  																																																		|
% 47.86/17.09  																																																			| Equations (570) can reduce 496 to:
% 47.86/17.09  																																																			| (783)  ~ (e4 = e3)
% 47.86/17.09  																																																			|
% 47.86/17.09  																																																			| Simplifying 783 yields:
% 47.86/17.09  																																																			| (177)  ~ (e4 = e3)
% 47.86/17.09  																																																			|
% 47.86/17.09  																																																			| Equations (570) can reduce 300 to:
% 47.86/17.09  																																																			| (169)  ~ (e3 = e2)
% 47.86/17.09  																																																			|
% 47.86/17.09  																																																			| From (570) and (173) follows:
% 47.86/17.09  																																																			| (4654) op(e0, e3) = all_0_75_75
% 47.86/17.09  																																																			|
% 47.86/17.09  																																																			| Instantiating formula (262) with e0, e4, all_0_71_71, e2 and discharging atoms op(e0, e4) = all_0_71_71, op(e0, e4) = e2, yields:
% 47.86/17.09  																																																			| (2601) all_0_71_71 = e2
% 47.86/17.09  																																																			|
% 47.86/17.09  																																																			| Instantiating formula (262) with e0, e3, all_0_75_75, all_0_68_68 and discharging atoms op(e0, e3) = all_0_68_68, op(e0, e3) = all_0_75_75, yields:
% 47.86/17.10  																																																			| (45412) all_0_68_68 = all_0_75_75
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																			| Instantiating formula (262) with e0, e3, e4, all_0_68_68 and discharging atoms op(e0, e3) = all_0_68_68, op(e0, e3) = e4, yields:
% 47.86/17.10  																																																			| (45413) all_0_68_68 = e4
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																			| Instantiating formula (262) with e0, e1, e3, all_0_69_69 and discharging atoms op(e0, e1) = all_0_69_69, op(e0, e1) = e3, yields:
% 47.86/17.10  																																																			| (1902) all_0_69_69 = e3
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																			| Combining equations (45413,45412) yields a new equation:
% 47.86/17.10  																																																			| (1966) all_0_75_75 = e4
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																			+-Applying beta-rule and splitting (89), into two cases.
% 47.86/17.10  																																																			|-Branch one:
% 47.86/17.10  																																																			| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																				+-Applying beta-rule and splitting (1373), into two cases.
% 47.86/17.10  																																																				|-Branch one:
% 47.86/17.10  																																																				| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																					+-Applying beta-rule and splitting (1374), into two cases.
% 47.86/17.10  																																																					|-Branch one:
% 47.86/17.10  																																																					| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.86/17.10  																																																					|
% 47.86/17.10  																																																						| Applying alpha-rule on (1375) yields:
% 47.86/17.10  																																																						| (1376) all_0_69_69 = e4
% 47.86/17.10  																																																						| (1377)  ~ (all_0_70_70 = e0)
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						| Combining equations (1376,1902) yields a new equation:
% 47.86/17.10  																																																						| (790) e4 = e3
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						| Simplifying 790 yields:
% 47.86/17.10  																																																						| (434) e4 = e3
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						| Equations (434) can reduce 177 to:
% 47.86/17.10  																																																						| (311) $false
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						|-The branch is then unsatisfiable
% 47.86/17.10  																																																					|-Branch two:
% 47.86/17.10  																																																					| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.86/17.10  																																																					|
% 47.86/17.10  																																																						| Applying alpha-rule on (1379) yields:
% 47.86/17.10  																																																						| (1380) all_0_71_71 = e3
% 47.86/17.10  																																																						| (1381)  ~ (all_0_72_72 = e0)
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						| Combining equations (2601,1380) yields a new equation:
% 47.86/17.10  																																																						| (548) e3 = e2
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						| Equations (548) can reduce 169 to:
% 47.86/17.10  																																																						| (311) $false
% 47.86/17.10  																																																						|
% 47.86/17.10  																																																						|-The branch is then unsatisfiable
% 47.86/17.10  																																																				|-Branch two:
% 47.86/17.10  																																																				| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																					| Applying alpha-rule on (1385) yields:
% 47.86/17.10  																																																					| (1386) all_0_73_73 = e2
% 47.86/17.10  																																																					| (1387)  ~ (all_0_74_74 = e0)
% 47.86/17.10  																																																					|
% 47.86/17.10  																																																					| Combining equations (2602,1386) yields a new equation:
% 47.86/17.10  																																																					| (385) e2 = e1
% 47.86/17.10  																																																					|
% 47.86/17.10  																																																					| Equations (385) can reduce 243 to:
% 47.86/17.10  																																																					| (311) $false
% 47.86/17.10  																																																					|
% 47.86/17.10  																																																					|-The branch is then unsatisfiable
% 47.86/17.10  																																																			|-Branch two:
% 47.86/17.10  																																																			| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																				| Applying alpha-rule on (1391) yields:
% 47.86/17.10  																																																				| (1392) all_0_75_75 = e1
% 47.86/17.10  																																																				| (1393)  ~ (all_0_76_76 = e0)
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				| Combining equations (1966,1392) yields a new equation:
% 47.86/17.10  																																																				| (813) e4 = e1
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				| Simplifying 813 yields:
% 47.86/17.10  																																																				| (814) e4 = e1
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				| Equations (814) can reduce 256 to:
% 47.86/17.10  																																																				| (311) $false
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				|-The branch is then unsatisfiable
% 47.86/17.10  																																																		|-Branch two:
% 47.86/17.10  																																																		| (602)  ~ (all_0_93_93 = e3)
% 47.86/17.10  																																																		| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 47.86/17.10  																																																		|
% 47.86/17.10  																																																			+-Applying beta-rule and splitting (603), into two cases.
% 47.86/17.10  																																																			|-Branch one:
% 47.86/17.10  																																																			| (604) all_0_93_93 = e0
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																				| Equations (604) can reduce 509 to:
% 47.86/17.10  																																																				| (311) $false
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				|-The branch is then unsatisfiable
% 47.86/17.10  																																																			|-Branch two:
% 47.86/17.10  																																																			| (509)  ~ (all_0_93_93 = e0)
% 47.86/17.10  																																																			| (607) all_0_93_93 = e4
% 47.86/17.10  																																																			|
% 47.86/17.10  																																																				| Equations (607) can reduce 496 to:
% 47.86/17.10  																																																				| (311) $false
% 47.86/17.10  																																																				|
% 47.86/17.10  																																																				|-The branch is then unsatisfiable
% 47.86/17.10  																																															|-Branch two:
% 47.86/17.10  																																															| (762)  ~ (all_0_90_90 = e0)
% 47.86/17.10  																																															| (858) all_0_95_95 = e0
% 47.86/17.10  																																															|
% 47.86/17.10  																																																| Combining equations (894,858) yields a new equation:
% 47.86/17.10  																																																| (911) e4 = e0
% 47.86/17.10  																																																|
% 47.86/17.10  																																																| Simplifying 911 yields:
% 47.86/17.10  																																																| (912) e4 = e0
% 47.86/17.10  																																																|
% 47.86/17.10  																																																| Equations (912) can reduce 23 to:
% 47.86/17.10  																																																| (311) $false
% 47.86/17.10  																																																|
% 47.86/17.10  																																																|-The branch is then unsatisfiable
% 47.86/17.10  																																														|-Branch two:
% 47.86/17.10  																																														| (840)  ~ (all_0_92_92 = e1)
% 47.86/17.10  																																														| (566) all_0_93_93 = e1
% 47.86/17.10  																																														|
% 47.86/17.10  																																															| Equations (566) can reduce 481 to:
% 47.86/17.10  																																															| (311) $false
% 47.86/17.10  																																															|
% 47.86/17.10  																																															|-The branch is then unsatisfiable
% 47.86/17.10  																																							|-Branch two:
% 47.86/17.10  																																							| (428)  ~ (all_0_97_97 = e3)
% 47.86/17.10  																																							| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 47.86/17.10  																																							|
% 47.86/17.10  																																								+-Applying beta-rule and splitting (559), into two cases.
% 47.86/17.10  																																								|-Branch one:
% 47.86/17.10  																																								| (560) all_0_97_97 = e0
% 47.86/17.10  																																								|
% 47.86/17.10  																																									| Equations (560) can reduce 609 to:
% 47.86/17.10  																																									| (311) $false
% 47.86/17.10  																																									|
% 47.86/17.10  																																									|-The branch is then unsatisfiable
% 47.86/17.10  																																								|-Branch two:
% 47.86/17.10  																																								| (609)  ~ (all_0_97_97 = e0)
% 47.86/17.10  																																								| (610) all_0_97_97 = e4
% 47.86/17.10  																																								|
% 47.86/17.10  																																									| Equations (610) can reduce 319 to:
% 47.86/17.10  																																									| (311) $false
% 47.86/17.10  																																									|
% 47.86/17.10  																																									|-The branch is then unsatisfiable
% 47.86/17.10  																																						|-Branch two:
% 47.86/17.10  																																						| (648)  ~ (all_0_85_85 = e4)
% 47.86/17.10  																																						| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 47.86/17.10  																																						|
% 47.86/17.10  																																							+-Applying beta-rule and splitting (2576), into two cases.
% 47.86/17.10  																																							|-Branch one:
% 47.86/17.10  																																							| (607) all_0_93_93 = e4
% 47.86/17.10  																																							|
% 47.86/17.10  																																								| Equations (607) can reduce 496 to:
% 47.86/17.10  																																								| (311) $false
% 47.86/17.10  																																								|
% 47.86/17.10  																																								|-The branch is then unsatisfiable
% 47.86/17.10  																																							|-Branch two:
% 47.86/17.10  																																							| (496)  ~ (all_0_93_93 = e4)
% 47.86/17.10  																																							| (2650) all_0_98_98 = e4
% 47.86/17.10  																																							|
% 47.86/17.10  																																								| Equations (2650) can reduce 321 to:
% 47.86/17.10  																																								| (311) $false
% 47.86/17.10  																																								|
% 47.86/17.10  																																								|-The branch is then unsatisfiable
% 47.86/17.10  																															|-Branch two:
% 47.86/17.10  																															| (436)  ~ (all_0_80_80 = e4)
% 47.86/17.10  																															| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.86/17.10  																															|
% 47.86/17.10  																																+-Applying beta-rule and splitting (2096), into two cases.
% 47.86/17.10  																																|-Branch one:
% 47.86/17.10  																																| (560) all_0_97_97 = e0
% 47.86/17.10  																																|
% 47.86/17.10  																																	| Equations (560) can reduce 609 to:
% 47.86/17.10  																																	| (311) $false
% 47.86/17.10  																																	|
% 47.86/17.10  																																	|-The branch is then unsatisfiable
% 47.86/17.10  																																|-Branch two:
% 47.86/17.10  																																| (609)  ~ (all_0_97_97 = e0)
% 47.86/17.10  																																| (1121) all_0_98_98 = e0
% 47.86/17.10  																																|
% 47.86/17.10  																																	+-Applying beta-rule and splitting (641), into two cases.
% 47.86/17.10  																																	|-Branch one:
% 47.86/17.10  																																	| (433) all_0_80_80 = e4
% 47.86/17.10  																																	|
% 47.86/17.10  																																		| Equations (433) can reduce 436 to:
% 47.86/17.10  																																		| (311) $false
% 47.86/17.10  																																		|
% 47.86/17.10  																																		|-The branch is then unsatisfiable
% 47.86/17.10  																																	|-Branch two:
% 47.86/17.10  																																	| (436)  ~ (all_0_80_80 = e4)
% 47.86/17.10  																																	| (638) all_0_81_81 = e4
% 47.86/17.10  																																	|
% 47.86/17.10  																																		| Equations (638) can reduce 420 to:
% 47.86/17.10  																																		| (177)  ~ (e4 = e3)
% 47.86/17.10  																																		|
% 47.86/17.10  																																		| Equations (638) can reduce 396 to:
% 47.86/17.10  																																		| (79)  ~ (e4 = e2)
% 47.86/17.10  																																		|
% 47.86/17.10  																																		+-Applying beta-rule and splitting (270), into two cases.
% 47.86/17.10  																																		|-Branch one:
% 47.86/17.10  																																		| (744) all_0_95_95 = e3
% 47.86/17.10  																																		|
% 47.86/17.10  																																			| Combining equations (894,744) yields a new equation:
% 47.86/17.10  																																			| (790) e4 = e3
% 47.86/17.10  																																			|
% 47.86/17.10  																																			| Simplifying 790 yields:
% 47.86/17.10  																																			| (434) e4 = e3
% 47.86/17.10  																																			|
% 47.86/17.10  																																			| Equations (434) can reduce 177 to:
% 47.86/17.10  																																			| (311) $false
% 47.86/17.10  																																			|
% 47.86/17.10  																																			|-The branch is then unsatisfiable
% 47.86/17.10  																																		|-Branch two:
% 47.86/17.10  																																		| (765)  ~ (all_0_95_95 = e3)
% 47.86/17.10  																																		| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 47.86/17.10  																																		|
% 47.86/17.10  																																			+-Applying beta-rule and splitting (766), into two cases.
% 47.86/17.10  																																			|-Branch one:
% 47.86/17.10  																																			| (778) all_0_96_96 = e3
% 47.86/17.10  																																			|
% 47.86/17.10  																																				| Combining equations (960,778) yields a new equation:
% 47.86/17.10  																																				| (772) e3 = e1
% 47.86/17.10  																																				|
% 47.86/17.10  																																				| Equations (772) can reduce 20 to:
% 47.86/17.10  																																				| (311) $false
% 47.86/17.10  																																				|
% 47.86/17.10  																																				|-The branch is then unsatisfiable
% 47.86/17.10  																																			|-Branch two:
% 47.86/17.10  																																			| (964)  ~ (all_0_96_96 = e3)
% 47.86/17.10  																																			| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 47.86/17.10  																																			|
% 47.86/17.10  																																				+-Applying beta-rule and splitting (965), into two cases.
% 47.86/17.10  																																				|-Branch one:
% 47.86/17.10  																																				| (556) all_0_97_97 = e3
% 47.86/17.10  																																				|
% 47.86/17.10  																																					| Equations (556) can reduce 319 to:
% 47.86/17.10  																																					| (783)  ~ (e4 = e3)
% 47.86/17.10  																																					|
% 47.86/17.10  																																					| Simplifying 783 yields:
% 47.86/17.10  																																					| (177)  ~ (e4 = e3)
% 47.86/17.10  																																					|
% 47.86/17.10  																																					+-Applying beta-rule and splitting (437), into two cases.
% 47.86/17.10  																																					|-Branch one:
% 47.86/17.10  																																					| (438) all_0_84_84 = e4
% 47.86/17.10  																																					|
% 47.86/17.10  																																						| Combining equations (552,438) yields a new equation:
% 47.86/17.10  																																						| (310) e4 = e2
% 47.86/17.10  																																						|
% 47.86/17.10  																																						| Equations (310) can reduce 79 to:
% 47.86/17.10  																																						| (311) $false
% 47.86/17.10  																																						|
% 47.86/17.10  																																						|-The branch is then unsatisfiable
% 47.86/17.10  																																					|-Branch two:
% 47.86/17.10  																																					| (417)  ~ (all_0_84_84 = e4)
% 47.86/17.10  																																					| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.86/17.10  																																					|
% 47.86/17.10  																																						+-Applying beta-rule and splitting (441), into two cases.
% 47.86/17.10  																																						|-Branch one:
% 47.86/17.10  																																						| (442) all_0_92_92 = e4
% 47.86/17.10  																																						|
% 47.86/17.10  																																							| Equations (442) can reduce 1619 to:
% 47.86/17.10  																																							| (311) $false
% 47.86/17.10  																																							|
% 47.86/17.10  																																							|-The branch is then unsatisfiable
% 47.86/17.10  																																						|-Branch two:
% 47.86/17.10  																																						| (1619)  ~ (all_0_92_92 = e4)
% 47.86/17.10  																																						| (610) all_0_97_97 = e4
% 47.86/17.10  																																						|
% 47.86/17.10  																																							| Combining equations (610,556) yields a new equation:
% 47.86/17.10  																																							| (790) e4 = e3
% 47.86/17.10  																																							|
% 47.86/17.10  																																							| Simplifying 790 yields:
% 47.86/17.10  																																							| (434) e4 = e3
% 47.86/17.10  																																							|
% 47.86/17.10  																																							| Equations (434) can reduce 177 to:
% 47.86/17.10  																																							| (311) $false
% 47.86/17.10  																																							|
% 47.86/17.10  																																							|-The branch is then unsatisfiable
% 47.86/17.10  																																				|-Branch two:
% 47.86/17.10  																																				| (428)  ~ (all_0_97_97 = e3)
% 47.86/17.10  																																				| (969) all_0_98_98 = e3
% 47.86/17.10  																																				|
% 47.86/17.11  																																					| Combining equations (1121,969) yields a new equation:
% 47.86/17.11  																																					| (600) e3 = e0
% 47.86/17.11  																																					|
% 47.86/17.11  																																					| Equations (600) can reduce 50 to:
% 47.86/17.11  																																					| (311) $false
% 47.86/17.11  																																					|
% 47.86/17.11  																																					|-The branch is then unsatisfiable
% 47.86/17.11  																						|-Branch two:
% 47.86/17.11  																						| (1479)  ~ (all_0_96_96 = e1)
% 47.86/17.11  																						| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 47.86/17.11  																						|
% 47.86/17.11  																							+-Applying beta-rule and splitting (2016), into two cases.
% 47.86/17.11  																							|-Branch one:
% 47.86/17.11  																							| (778) all_0_96_96 = e3
% 47.86/17.11  																							|
% 47.86/17.11  																								| Equations (778) can reduce 964 to:
% 47.86/17.11  																								| (311) $false
% 47.86/17.11  																								|
% 47.86/17.11  																								|-The branch is then unsatisfiable
% 47.86/17.11  																							|-Branch two:
% 47.86/17.11  																							| (964)  ~ (all_0_96_96 = e3)
% 47.86/17.11  																							| (1837) all_0_96_96 = e0
% 47.86/17.11  																							|
% 47.86/17.11  																								| Equations (1837) can reduce 2095 to:
% 47.86/17.11  																								| (311) $false
% 47.86/17.11  																								|
% 47.86/17.11  																								|-The branch is then unsatisfiable
% 47.89/17.11  																				|-Branch two:
% 47.89/17.11  																				| (612)  ~ (all_0_84_84 = e2)
% 47.89/17.11  																				| (512) all_0_85_85 = e2
% 47.89/17.11  																				|
% 47.89/17.11  																					| Equations (512) can reduce 515 to:
% 47.89/17.11  																					| (311) $false
% 47.89/17.11  																					|
% 47.89/17.11  																					|-The branch is then unsatisfiable
% 47.89/17.11  																	|-Branch two:
% 47.89/17.11  																	| (346)  ~ (all_0_78_78 = e2)
% 47.89/17.11  																	| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 47.89/17.11  																	|
% 47.89/17.11  																		+-Applying beta-rule and splitting (403), into two cases.
% 47.89/17.11  																		|-Branch one:
% 47.89/17.11  																		| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 47.89/17.11  																		|
% 47.89/17.11  																			+-Applying beta-rule and splitting (404), into two cases.
% 47.89/17.11  																			|-Branch one:
% 47.89/17.11  																			| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 47.89/17.11  																			|
% 47.89/17.11  																				| Applying alpha-rule on (405) yields:
% 47.89/17.11  																				| (406) all_0_39_39 = e1
% 47.89/17.11  																				| (407)  ~ (all_0_40_40 = e4)
% 47.89/17.11  																				|
% 47.89/17.11  																				| Combining equations (406,30566) yields a new equation:
% 47.89/17.11  																				| (1107) e1 = e0
% 47.89/17.11  																				|
% 47.89/17.11  																				| Simplifying 1107 yields:
% 47.89/17.11  																				| (865) e1 = e0
% 47.89/17.11  																				|
% 47.89/17.11  																				| Equations (865) can reduce 264 to:
% 47.89/17.11  																				| (311) $false
% 47.89/17.11  																				|
% 47.89/17.11  																				|-The branch is then unsatisfiable
% 47.89/17.11  																			|-Branch two:
% 47.89/17.11  																			| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 47.89/17.11  																			|
% 47.89/17.11  																				| Applying alpha-rule on (411) yields:
% 47.89/17.11  																				| (337) all_0_41_41 = e0
% 47.89/17.11  																				| (413)  ~ (all_0_42_42 = e4)
% 47.89/17.11  																				|
% 47.89/17.11  																				| Combining equations (41164,337) yields a new equation:
% 47.89/17.11  																				| (599) e3 = e0
% 47.89/17.11  																				|
% 47.89/17.11  																				| Simplifying 599 yields:
% 47.89/17.11  																				| (600) e3 = e0
% 47.89/17.11  																				|
% 47.89/17.11  																				| Equations (600) can reduce 50 to:
% 47.89/17.11  																				| (311) $false
% 47.89/17.11  																				|
% 47.89/17.11  																				|-The branch is then unsatisfiable
% 47.89/17.11  																		|-Branch two:
% 47.89/17.11  																		| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 47.89/17.11  																		|
% 47.89/17.11  																			| Applying alpha-rule on (415) yields:
% 47.89/17.11  																			| (416) all_0_80_80 = e3
% 47.89/17.11  																			| (417)  ~ (all_0_84_84 = e4)
% 47.89/17.11  																			|
% 47.89/17.11  																			| Equations (416) can reduce 2347 to:
% 47.89/17.11  																			| (311) $false
% 47.89/17.11  																			|
% 47.89/17.11  																			|-The branch is then unsatisfiable
% 47.89/17.11  														|-Branch two:
% 47.89/17.11  														| (1314)  ~ (all_0_83_83 = e0)
% 47.89/17.11  														| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.89/17.11  														|
% 47.89/17.11  															+-Applying beta-rule and splitting (1400), into two cases.
% 47.89/17.11  															|-Branch one:
% 47.89/17.11  															| (1456) all_0_91_91 = e0
% 47.89/17.11  															|
% 47.89/17.11  																| Combining equations (1723,1456) yields a new equation:
% 47.89/17.11  																| (923) e2 = e0
% 47.89/17.11  																|
% 47.89/17.11  																| Simplifying 923 yields:
% 47.89/17.11  																| (379) e2 = e0
% 47.89/17.11  																|
% 47.89/17.11  																| Equations (379) can reduce 76 to:
% 47.89/17.11  																| (311) $false
% 47.89/17.11  																|
% 47.89/17.11  																|-The branch is then unsatisfiable
% 47.89/17.11  															|-Branch two:
% 47.89/17.11  															| (1487)  ~ (all_0_91_91 = e0)
% 47.89/17.11  															| (1837) all_0_96_96 = e0
% 47.89/17.11  															|
% 47.89/17.11  																| Equations (1837) can reduce 211 to:
% 47.89/17.11  																| (1314)  ~ (all_0_83_83 = e0)
% 47.89/17.11  																|
% 47.89/17.11  																| Equations (1837) can reduce 115 to:
% 47.89/17.11  																| (904)  ~ (e4 = e0)
% 47.89/17.11  																|
% 47.89/17.11  																| Simplifying 904 yields:
% 47.89/17.11  																| (23)  ~ (e4 = e0)
% 47.89/17.11  																|
% 47.89/17.11  																| Equations (1837) can reduce 1638 to:
% 47.89/17.11  																| (510)  ~ (e2 = e0)
% 47.89/17.11  																|
% 47.89/17.11  																| Simplifying 510 yields:
% 47.89/17.11  																| (76)  ~ (e2 = e0)
% 47.89/17.11  																|
% 47.89/17.11  																| From (1837) and (212) follows:
% 47.89/17.11  																| (10932) op(e2, e0) = all_0_58_58
% 47.89/17.11  																|
% 47.89/17.11  																+-Applying beta-rule and splitting (127), into two cases.
% 47.89/17.11  																|-Branch one:
% 47.89/17.11  																| (457) all_0_79_79 = e1
% 47.89/17.11  																|
% 47.89/17.11  																	| Equations (457) can reduce 272 to:
% 47.89/17.11  																	| (11487)  ~ (all_0_83_83 = e1)
% 47.89/17.11  																	|
% 47.89/17.11  																	| Simplifying 11487 yields:
% 47.89/17.11  																	| (113)  ~ (all_0_83_83 = e1)
% 47.89/17.11  																	|
% 47.89/17.11  																	| Equations (457) can reduce 235 to:
% 47.89/17.11  																	| (681)  ~ (e4 = e1)
% 47.89/17.11  																	|
% 47.89/17.11  																	| Simplifying 681 yields:
% 47.89/17.11  																	| (256)  ~ (e4 = e1)
% 47.89/17.11  																	|
% 47.89/17.11  																	| From (457) and (184) follows:
% 47.89/17.11  																	| (1679) op(e2, e1) = all_0_52_52
% 47.89/17.11  																	|
% 47.89/17.11  																	+-Applying beta-rule and splitting (456), into two cases.
% 47.89/17.11  																	|-Branch one:
% 47.89/17.11  																	| (795) all_0_83_83 = e3
% 47.89/17.11  																	|
% 47.89/17.11  																		| Equations (795) can reduce 113 to:
% 47.89/17.11  																		| (20)  ~ (e3 = e1)
% 47.89/17.11  																		|
% 47.89/17.11  																		| From (795) and (206) follows:
% 47.89/17.11  																		| (8280) op(e2, e3) = all_0_54_54
% 47.89/17.11  																		|
% 47.89/17.11  																		| Instantiating formula (262) with e2, e3, all_0_54_54, e1 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e1, yields:
% 47.89/17.11  																		| (11306) all_0_54_54 = e1
% 47.89/17.11  																		|
% 47.89/17.11  																		| Instantiating formula (262) with e2, e1, all_0_52_52, e0 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e0, yields:
% 47.89/17.11  																		| (11070) all_0_52_52 = e0
% 47.89/17.11  																		|
% 47.89/17.11  																		| Instantiating formula (262) with e2, e0, all_0_58_58, e2 and discharging atoms op(e2, e0) = all_0_58_58, op(e2, e0) = e2, yields:
% 47.89/17.11  																		| (15842) all_0_58_58 = e2
% 47.89/17.11  																		|
% 47.89/17.11  																		+-Applying beta-rule and splitting (33), into two cases.
% 47.89/17.11  																		|-Branch one:
% 47.89/17.11  																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 47.89/17.11  																		|
% 47.89/17.11  																			+-Applying beta-rule and splitting (1686), into two cases.
% 47.89/17.11  																			|-Branch one:
% 47.89/17.11  																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 47.89/17.11  																			|
% 47.89/17.11  																				+-Applying beta-rule and splitting (1687), into two cases.
% 47.89/17.11  																				|-Branch one:
% 47.89/17.11  																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 47.89/17.11  																				|
% 47.89/17.11  																					| Applying alpha-rule on (1688) yields:
% 47.89/17.11  																					| (1689) all_0_52_52 = e4
% 47.89/17.11  																					| (1690)  ~ (all_0_53_53 = e2)
% 47.89/17.11  																					|
% 47.89/17.11  																					| Combining equations (11070,1689) yields a new equation:
% 47.89/17.11  																					| (912) e4 = e0
% 47.89/17.11  																					|
% 47.89/17.11  																					| Equations (912) can reduce 23 to:
% 47.89/17.11  																					| (311) $false
% 47.89/17.11  																					|
% 47.89/17.11  																					|-The branch is then unsatisfiable
% 47.89/17.11  																				|-Branch two:
% 47.89/17.11  																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 47.89/17.11  																				|
% 47.89/17.11  																					| Applying alpha-rule on (1694) yields:
% 47.89/17.11  																					| (1695) all_0_54_54 = e3
% 47.89/17.11  																					| (1696)  ~ (all_0_55_55 = e2)
% 47.89/17.11  																					|
% 47.89/17.11  																					| Combining equations (1695,11306) yields a new equation:
% 47.89/17.11  																					| (825) e3 = e1
% 47.89/17.11  																					|
% 47.89/17.11  																					| Simplifying 825 yields:
% 47.89/17.11  																					| (772) e3 = e1
% 47.89/17.11  																					|
% 47.89/17.11  																					| Equations (772) can reduce 20 to:
% 47.89/17.11  																					| (311) $false
% 47.89/17.11  																					|
% 47.89/17.11  																					|-The branch is then unsatisfiable
% 47.89/17.11  																			|-Branch two:
% 47.89/17.11  																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 47.89/17.11  																			|
% 47.89/17.11  																				| Applying alpha-rule on (1700) yields:
% 47.89/17.11  																				| (1701) all_0_56_56 = e1
% 47.89/17.11  																				| (1702)  ~ (all_0_57_57 = e2)
% 47.89/17.11  																				|
% 47.89/17.12  																				| Combining equations (1701,37236) yields a new equation:
% 47.89/17.12  																				| (814) e4 = e1
% 47.89/17.12  																				|
% 47.89/17.12  																				| Equations (814) can reduce 256 to:
% 47.89/17.12  																				| (311) $false
% 47.89/17.12  																				|
% 47.89/17.12  																				|-The branch is then unsatisfiable
% 47.89/17.12  																		|-Branch two:
% 47.89/17.12  																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 47.89/17.12  																		|
% 47.89/17.12  																			| Applying alpha-rule on (4957) yields:
% 47.89/17.12  																			| (4958) all_0_58_58 = e0
% 47.89/17.12  																			| (4959)  ~ (all_0_59_59 = e2)
% 47.89/17.12  																			|
% 47.89/17.12  																			| Combining equations (15842,4958) yields a new equation:
% 47.89/17.12  																			| (923) e2 = e0
% 47.89/17.12  																			|
% 47.89/17.12  																			| Simplifying 923 yields:
% 47.89/17.12  																			| (379) e2 = e0
% 47.89/17.12  																			|
% 47.89/17.12  																			| Equations (379) can reduce 76 to:
% 47.89/17.12  																			| (311) $false
% 47.89/17.12  																			|
% 47.89/17.12  																			|-The branch is then unsatisfiable
% 47.89/17.12  																	|-Branch two:
% 47.89/17.12  																	| (779)  ~ (all_0_83_83 = e3)
% 47.89/17.12  																	| (798) all_0_83_83 = e0
% 47.89/17.12  																	|
% 47.89/17.12  																		| Equations (798) can reduce 1314 to:
% 47.89/17.12  																		| (311) $false
% 47.89/17.12  																		|
% 47.89/17.12  																		|-The branch is then unsatisfiable
% 47.89/17.12  																|-Branch two:
% 47.89/17.12  																| (461)  ~ (all_0_79_79 = e1)
% 47.89/17.12  																| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.89/17.12  																|
% 47.89/17.12  																	+-Applying beta-rule and splitting (462), into two cases.
% 47.89/17.12  																	|-Branch one:
% 47.89/17.12  																	| (801) all_0_91_91 = e1
% 47.89/17.12  																	|
% 47.89/17.12  																		| Combining equations (1723,801) yields a new equation:
% 47.89/17.12  																		| (408) e2 = e1
% 47.89/17.12  																		|
% 47.89/17.12  																		| Simplifying 408 yields:
% 47.89/17.12  																		| (385) e2 = e1
% 47.89/17.12  																		|
% 47.89/17.12  																		| Equations (385) can reduce 243 to:
% 47.89/17.12  																		| (311) $false
% 47.89/17.12  																		|
% 47.89/17.12  																		|-The branch is then unsatisfiable
% 47.89/17.12  																	|-Branch two:
% 47.89/17.12  																	| (959)  ~ (all_0_91_91 = e1)
% 47.89/17.12  																	| (960) all_0_96_96 = e1
% 47.89/17.12  																	|
% 47.89/17.12  																		| Combining equations (960,1837) yields a new equation:
% 47.89/17.12  																		| (1107) e1 = e0
% 47.89/17.12  																		|
% 47.89/17.12  																		| Simplifying 1107 yields:
% 47.89/17.12  																		| (865) e1 = e0
% 47.89/17.12  																		|
% 47.89/17.12  																		| Equations (865) can reduce 264 to:
% 47.89/17.12  																		| (311) $false
% 47.89/17.12  																		|
% 47.89/17.12  																		|-The branch is then unsatisfiable
% 47.89/17.12  													|-Branch two:
% 47.89/17.12  													| (296)  ~ (all_0_91_91 = e2)
% 47.89/17.12  													| (1704) all_0_96_96 = e2
% 47.89/17.12  													|
% 47.89/17.12  														| Equations (1704) can reduce 1638 to:
% 47.89/17.12  														| (311) $false
% 47.89/17.12  														|
% 47.89/17.12  														|-The branch is then unsatisfiable
% 47.89/17.12  										|-Branch two:
% 47.89/17.12  										| (889)  ~ (all_0_87_87 = e0)
% 47.89/17.12  										| (507) all_0_88_88 = e0
% 47.89/17.12  										|
% 47.89/17.12  											| Combining equations (507,370) yields a new equation:
% 47.89/17.12  											| (379) e2 = e0
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (379) can reduce 76 to:
% 47.89/17.12  											| (311) $false
% 47.89/17.12  											|
% 47.89/17.12  											|-The branch is then unsatisfiable
% 47.89/17.12  								|-Branch two:
% 47.89/17.12  								| (387)  ~ (all_0_86_86 = e1)
% 47.89/17.12  								| (388) all_0_87_87 = e1 | all_0_88_88 = e1
% 47.89/17.12  								|
% 47.89/17.12  									+-Applying beta-rule and splitting (388), into two cases.
% 47.89/17.12  									|-Branch one:
% 47.89/17.12  									| (482) all_0_87_87 = e1
% 47.89/17.12  									|
% 47.89/17.12  										| Equations (482) can reduce 73 to:
% 47.89/17.12  										| (828)  ~ (all_0_80_80 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Equations (482) can reduce 124 to:
% 47.89/17.12  										| (259)  ~ (all_0_84_84 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Equations (482) can reduce 162 to:
% 47.89/17.12  										| (387)  ~ (all_0_86_86 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Equations (482) can reduce 94 to:
% 47.89/17.12  										| (2131)  ~ (all_0_92_92 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Simplifying 2131 yields:
% 47.89/17.12  										| (840)  ~ (all_0_92_92 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Equations (482) can reduce 221 to:
% 47.89/17.12  										| (485)  ~ (all_0_97_97 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Simplifying 485 yields:
% 47.89/17.12  										| (486)  ~ (all_0_97_97 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Equations (482) can reduce 227 to:
% 47.89/17.12  										| (683)  ~ (e3 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| Simplifying 683 yields:
% 47.89/17.12  										| (20)  ~ (e3 = e1)
% 47.89/17.12  										|
% 47.89/17.12  										| From (482) and (83) follows:
% 47.89/17.12  										| (24490) op(e2, e1) = all_0_65_65
% 47.89/17.12  										|
% 47.89/17.12  										| From (482) and (14) follows:
% 47.89/17.12  										| (13258) op(e2, e1) = e1
% 47.89/17.12  										|
% 47.89/17.12  										+-Applying beta-rule and splitting (237), into two cases.
% 47.89/17.12  										|-Branch one:
% 47.89/17.12  										| (378) all_0_86_86 = e0
% 47.89/17.12  										|
% 47.89/17.12  											| Equations (378) can reduce 82 to:
% 47.89/17.12  											| (86)  ~ (all_0_78_78 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 81 to:
% 47.89/17.12  											| (914)  ~ (all_0_82_82 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 139 to:
% 47.89/17.12  											| (2710)  ~ (all_0_90_90 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Simplifying 2710 yields:
% 47.89/17.12  											| (762)  ~ (all_0_90_90 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 91 to:
% 47.89/17.12  											| (2712)  ~ (all_0_95_95 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Simplifying 2712 yields:
% 47.89/17.12  											| (893)  ~ (all_0_95_95 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 134 to:
% 47.89/17.12  											| (906)  ~ (e3 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Simplifying 906 yields:
% 47.89/17.12  											| (50)  ~ (e3 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 9507 to:
% 47.89/17.12  											| (510)  ~ (e2 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Simplifying 510 yields:
% 47.89/17.12  											| (76)  ~ (e2 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Equations (378) can reduce 387 to:
% 47.89/17.12  											| (859)  ~ (e1 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| Simplifying 859 yields:
% 47.89/17.12  											| (264)  ~ (e1 = e0)
% 47.89/17.12  											|
% 47.89/17.12  											| From (378) and (110) follows:
% 47.89/17.12  											| (9556) op(e3, e0) = all_0_46_46
% 47.89/17.12  											|
% 47.89/17.12  											| From (378) and (167) follows:
% 47.89/17.12  											| (9557) op(e2, e0) = all_0_47_47
% 47.89/17.12  											|
% 47.89/17.12  											| From (378) and (245) follows:
% 47.89/17.12  											| (5343) op(e2, e3) = e0
% 47.89/17.12  											|
% 47.89/17.12  											| Instantiating formula (262) with e3, e0, all_0_46_46, all_0_85_85 and discharging atoms op(e3, e0) = all_0_46_46, op(e3, e0) = all_0_85_85, yields:
% 47.89/17.12  											| (9576) all_0_46_46 = all_0_85_85
% 47.89/17.12  											|
% 47.89/17.12  											| Instantiating formula (262) with e2, e1, e1, all_0_65_65 and discharging atoms op(e2, e1) = all_0_65_65, op(e2, e1) = e1, yields:
% 47.89/17.12  											| (6145) all_0_65_65 = e1
% 47.89/17.12  											|
% 47.89/17.12  											| Instantiating formula (262) with e2, e0, all_0_47_47, e2 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e2, yields:
% 47.89/17.12  											| (13665) all_0_47_47 = e2
% 47.89/17.12  											|
% 47.89/17.12  											| From (6145) and (24490) follows:
% 47.89/17.12  											| (13258) op(e2, e1) = e1
% 47.89/17.12  											|
% 47.89/17.12  											| From (13665) and (9557) follows:
% 47.89/17.12  											| (18818) op(e2, e0) = e2
% 47.89/17.12  											|
% 47.89/17.12  											+-Applying beta-rule and splitting (52), into two cases.
% 47.89/17.12  											|-Branch one:
% 47.89/17.12  											| (453) all_0_83_83 = e2
% 47.89/17.12  											|
% 47.89/17.12  												| Equations (453) can reduce 272 to:
% 47.89/17.12  												| (1622)  ~ (all_0_79_79 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Equations (453) can reduce 223 to:
% 47.89/17.12  												| (1631)  ~ (all_0_84_84 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Simplifying 1631 yields:
% 47.89/17.12  												| (612)  ~ (all_0_84_84 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Equations (453) can reduce 226 to:
% 47.89/17.12  												| (691)  ~ (all_0_85_85 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Simplifying 691 yields:
% 47.89/17.12  												| (515)  ~ (all_0_85_85 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Equations (453) can reduce 211 to:
% 47.89/17.12  												| (1637)  ~ (all_0_96_96 = e2)
% 47.89/17.12  												|
% 47.89/17.12  												| Simplifying 1637 yields:
% 47.89/17.13  												| (1638)  ~ (all_0_96_96 = e2)
% 47.89/17.13  												|
% 47.89/17.13  												| Equations (453) can reduce 113 to:
% 47.89/17.13  												| (243)  ~ (e2 = e1)
% 47.89/17.13  												|
% 47.89/17.13  												| From (453) and (163) follows:
% 47.89/17.13  												| (13410) op(e3, e2) = all_0_55_55
% 47.89/17.13  												|
% 47.89/17.13  												| From (453) and (174) follows:
% 47.89/17.13  												| (13287) op(e3, e2) = e2
% 47.89/17.13  												|
% 47.89/17.13  												| From (453) and (206) follows:
% 47.89/17.13  												| (1643) op(e2, e2) = all_0_54_54
% 47.89/17.13  												|
% 47.89/17.13  												| Instantiating formula (262) with e3, e2, e2, all_0_55_55 and discharging atoms op(e3, e2) = all_0_55_55, op(e3, e2) = e2, yields:
% 47.89/17.13  												| (12242) all_0_55_55 = e2
% 47.89/17.13  												|
% 47.89/17.13  												| Instantiating formula (262) with e2, e2, all_0_54_54, e4 and discharging atoms op(e2, e2) = all_0_54_54, op(e2, e2) = e4, yields:
% 47.89/17.13  												| (1647) all_0_54_54 = e4
% 47.89/17.13  												|
% 47.89/17.13  												| From (12242) and (13410) follows:
% 47.89/17.13  												| (13287) op(e3, e2) = e2
% 47.89/17.13  												|
% 47.89/17.13  												+-Applying beta-rule and splitting (219), into two cases.
% 47.89/17.13  												|-Branch one:
% 47.89/17.13  												| (798) all_0_83_83 = e0
% 47.89/17.13  												|
% 47.89/17.13  													| Combining equations (453,798) yields a new equation:
% 47.89/17.13  													| (923) e2 = e0
% 47.89/17.13  													|
% 47.89/17.13  													| Simplifying 923 yields:
% 47.89/17.13  													| (379) e2 = e0
% 47.89/17.13  													|
% 47.89/17.13  													| Equations (379) can reduce 76 to:
% 47.89/17.13  													| (311) $false
% 47.89/17.13  													|
% 47.89/17.13  													|-The branch is then unsatisfiable
% 47.89/17.13  												|-Branch two:
% 47.89/17.13  												| (1314)  ~ (all_0_83_83 = e0)
% 47.89/17.13  												| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 47.89/17.13  												|
% 47.89/17.13  													+-Applying beta-rule and splitting (70), into two cases.
% 47.89/17.13  													|-Branch one:
% 47.89/17.13  													| (400) all_0_78_78 = e2
% 47.89/17.13  													|
% 47.89/17.13  														| Equations (400) can reduce 66 to:
% 47.89/17.13  														| (9970)  ~ (all_0_79_79 = e2)
% 47.89/17.13  														|
% 47.91/17.13  														| Simplifying 9970 yields:
% 47.91/17.13  														| (1622)  ~ (all_0_79_79 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Equations (400) can reduce 67 to:
% 47.91/17.13  														| (393)  ~ (all_0_80_80 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Simplifying 393 yields:
% 47.91/17.13  														| (394)  ~ (all_0_80_80 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Equations (400) can reduce 278 to:
% 47.91/17.13  														| (395)  ~ (all_0_81_81 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Simplifying 395 yields:
% 47.91/17.13  														| (396)  ~ (all_0_81_81 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Equations (400) can reduce 193 to:
% 47.91/17.13  														| (9974)  ~ (all_0_82_82 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Simplifying 9974 yields:
% 47.91/17.13  														| (347)  ~ (all_0_82_82 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Equations (400) can reduce 125 to:
% 47.91/17.13  														| (354)  ~ (all_0_95_95 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Simplifying 354 yields:
% 47.91/17.13  														| (355)  ~ (all_0_95_95 = e2)
% 47.91/17.13  														|
% 47.91/17.13  														| Equations (400) can reduce 86 to:
% 47.91/17.13  														| (76)  ~ (e2 = e0)
% 47.91/17.13  														|
% 47.91/17.13  														| From (400) and (138) follows:
% 47.91/17.13  														| (9983) op(e3, e2) = all_0_43_43
% 47.91/17.13  														|
% 47.91/17.13  														+-Applying beta-rule and splitting (192), into two cases.
% 47.91/17.13  														|-Branch one:
% 47.91/17.13  														| (546) all_0_80_80 = e2
% 47.91/17.13  														|
% 47.91/17.13  															| Equations (546) can reduce 394 to:
% 47.91/17.13  															| (311) $false
% 47.91/17.13  															|
% 47.91/17.13  															|-The branch is then unsatisfiable
% 47.91/17.13  														|-Branch two:
% 47.91/17.13  														| (394)  ~ (all_0_80_80 = e2)
% 47.91/17.13  														| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 47.91/17.13  														|
% 47.91/17.13  															+-Applying beta-rule and splitting (551), into two cases.
% 47.91/17.13  															|-Branch one:
% 47.91/17.13  															| (552) all_0_84_84 = e2
% 47.91/17.13  															|
% 47.91/17.13  																| Equations (552) can reduce 612 to:
% 47.91/17.13  																| (311) $false
% 47.91/17.13  																|
% 47.91/17.13  																|-The branch is then unsatisfiable
% 47.91/17.13  															|-Branch two:
% 47.91/17.13  															| (612)  ~ (all_0_84_84 = e2)
% 47.91/17.13  															| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 47.91/17.13  															|
% 47.91/17.13  																+-Applying beta-rule and splitting (613), into two cases.
% 47.91/17.13  																|-Branch one:
% 47.91/17.13  																| (374) all_0_87_87 = e2
% 47.91/17.13  																|
% 47.91/17.13  																	| Combining equations (374,482) yields a new equation:
% 47.91/17.13  																	| (408) e2 = e1
% 47.91/17.13  																	|
% 47.91/17.13  																	| Simplifying 408 yields:
% 47.91/17.13  																	| (385) e2 = e1
% 47.91/17.13  																	|
% 47.91/17.13  																	| Equations (385) can reduce 243 to:
% 47.91/17.13  																	| (311) $false
% 47.91/17.13  																	|
% 47.91/17.13  																	|-The branch is then unsatisfiable
% 47.91/17.13  																|-Branch two:
% 47.91/17.13  																| (349)  ~ (all_0_87_87 = e2)
% 47.91/17.13  																| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 47.91/17.13  																|
% 47.91/17.13  																	+-Applying beta-rule and splitting (1342), into two cases.
% 47.91/17.13  																	|-Branch one:
% 47.91/17.13  																	| (1343) all_0_92_92 = e2
% 47.91/17.13  																	|
% 47.91/17.13  																		| Equations (1343) can reduce 49 to:
% 47.91/17.13  																		| (394)  ~ (all_0_80_80 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 87 to:
% 47.91/17.13  																		| (612)  ~ (all_0_84_84 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 72 to:
% 47.91/17.13  																		| (294)  ~ (all_0_90_90 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 265 to:
% 47.91/17.13  																		| (296)  ~ (all_0_91_91 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 283 to:
% 47.91/17.13  																		| (299)  ~ (all_0_93_93 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Simplifying 299 yields:
% 47.91/17.13  																		| (300)  ~ (all_0_93_93 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 258 to:
% 47.91/17.13  																		| (2376)  ~ (all_0_97_97 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Simplifying 2376 yields:
% 47.91/17.13  																		| (527)  ~ (all_0_97_97 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 1619 to:
% 47.91/17.13  																		| (528)  ~ (e4 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Simplifying 528 yields:
% 47.91/17.13  																		| (79)  ~ (e4 = e2)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Equations (1343) can reduce 840 to:
% 47.91/17.13  																		| (243)  ~ (e2 = e1)
% 47.91/17.13  																		|
% 47.91/17.13  																		| Instantiating formula (262) with e3, e2, all_0_43_43, e2 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e2, yields:
% 47.91/17.13  																		| (689) all_0_43_43 = e2
% 47.91/17.13  																		|
% 47.91/17.13  																		+-Applying beta-rule and splitting (56), into two cases.
% 47.91/17.13  																		|-Branch one:
% 47.91/17.13  																		| (463) all_0_78_78 = e4
% 47.91/17.13  																		|
% 47.91/17.13  																			| Combining equations (400,463) yields a new equation:
% 47.91/17.13  																			| (310) e4 = e2
% 47.91/17.13  																			|
% 47.91/17.13  																			| Equations (310) can reduce 79 to:
% 47.91/17.13  																			| (311) $false
% 47.91/17.13  																			|
% 47.91/17.13  																			|-The branch is then unsatisfiable
% 47.91/17.13  																		|-Branch two:
% 47.91/17.13  																		| (640)  ~ (all_0_78_78 = e4)
% 47.91/17.13  																		| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 47.91/17.13  																		|
% 47.91/17.13  																			| Equations (400) can reduce 640 to:
% 47.91/17.13  																			| (528)  ~ (e4 = e2)
% 47.91/17.13  																			|
% 47.91/17.13  																			| Simplifying 528 yields:
% 47.91/17.13  																			| (79)  ~ (e4 = e2)
% 47.91/17.13  																			|
% 47.91/17.13  																			+-Applying beta-rule and splitting (249), into two cases.
% 47.91/17.13  																			|-Branch one:
% 47.91/17.13  																			| (910) all_0_82_82 = e0
% 47.91/17.13  																			|
% 47.91/17.13  																				| Equations (910) can reduce 914 to:
% 47.91/17.13  																				| (311) $false
% 47.91/17.13  																				|
% 47.91/17.13  																				|-The branch is then unsatisfiable
% 47.91/17.13  																			|-Branch two:
% 47.91/17.13  																			| (914)  ~ (all_0_82_82 = e0)
% 47.91/17.13  																			| (1309) all_0_83_83 = e0 | all_0_84_84 = e0 | all_0_85_85 = e0
% 47.91/17.13  																			|
% 47.91/17.13  																				+-Applying beta-rule and splitting (129), into two cases.
% 47.91/17.13  																				|-Branch one:
% 47.91/17.13  																				| (676) all_0_78_78 = e1
% 47.91/17.13  																				|
% 47.91/17.13  																					| Combining equations (400,676) yields a new equation:
% 47.91/17.13  																					| (408) e2 = e1
% 47.91/17.13  																					|
% 47.91/17.13  																					| Simplifying 408 yields:
% 47.91/17.13  																					| (385) e2 = e1
% 47.91/17.13  																					|
% 47.91/17.13  																					| Equations (385) can reduce 243 to:
% 47.91/17.13  																					| (311) $false
% 47.91/17.13  																					|
% 47.91/17.13  																					|-The branch is then unsatisfiable
% 47.91/17.13  																				|-Branch two:
% 47.91/17.13  																				| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.13  																				| (1602) all_0_79_79 = e1 | all_0_80_80 = e1 | all_0_81_81 = e1
% 47.91/17.13  																				|
% 47.91/17.13  																					| Equations (400) can reduce 1601 to:
% 47.91/17.13  																					| (243)  ~ (e2 = e1)
% 47.91/17.13  																					|
% 47.91/17.13  																					+-Applying beta-rule and splitting (2), into two cases.
% 47.91/17.13  																					|-Branch one:
% 47.91/17.13  																					| (916) all_0_84_84 = e0
% 47.91/17.13  																					|
% 47.91/17.13  																						| Equations (916) can reduce 273 to:
% 47.91/17.13  																						| (166)  ~ (all_0_80_80 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Equations (916) can reduce 154 to:
% 47.91/17.13  																						| (799)  ~ (all_0_85_85 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Simplifying 799 yields:
% 47.91/17.13  																						| (800)  ~ (all_0_85_85 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Equations (916) can reduce 195 to:
% 47.91/17.13  																						| (938)  ~ (all_0_97_97 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Simplifying 938 yields:
% 47.91/17.13  																						| (609)  ~ (all_0_97_97 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Equations (916) can reduce 612 to:
% 47.91/17.13  																						| (510)  ~ (e2 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Simplifying 510 yields:
% 47.91/17.13  																						| (76)  ~ (e2 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Equations (916) can reduce 259 to:
% 47.91/17.13  																						| (859)  ~ (e1 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| Simplifying 859 yields:
% 47.91/17.13  																						| (264)  ~ (e1 = e0)
% 47.91/17.13  																						|
% 47.91/17.13  																						| From (916) and (232) follows:
% 47.91/17.13  																						| (12396) op(e3, e1) = e0
% 47.91/17.13  																						|
% 47.91/17.13  																						| From (916) and (122) follows:
% 47.91/17.13  																						| (1321) op(e1, e0) = all_0_62_62
% 47.91/17.13  																						|
% 47.91/17.13  																						| Instantiating formula (262) with e1, e0, all_0_62_62, all_0_93_93 and discharging atoms op(e1, e0) = all_0_62_62, op(e1, e0) = all_0_93_93, yields:
% 47.91/17.13  																						| (1367) all_0_62_62 = all_0_93_93
% 47.91/17.13  																						|
% 47.91/17.13  																						+-Applying beta-rule and splitting (109), into two cases.
% 47.91/17.13  																						|-Branch one:
% 47.91/17.13  																						| (469) all_0_82_82 = e4
% 47.91/17.13  																						|
% 47.91/17.13  																							| Equations (469) can reduce 209 to:
% 47.91/17.13  																							| (647)  ~ (all_0_85_85 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							| Simplifying 647 yields:
% 47.91/17.13  																							| (648)  ~ (all_0_85_85 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							| Equations (469) can reduce 255 to:
% 47.91/17.13  																							| (466)  ~ (all_0_90_90 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							| Simplifying 466 yields:
% 47.91/17.13  																							| (467)  ~ (all_0_90_90 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							| Equations (469) can reduce 200 to:
% 47.91/17.13  																							| (314)  ~ (all_0_95_95 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							| Simplifying 314 yields:
% 47.91/17.13  																							| (315)  ~ (all_0_95_95 = e4)
% 47.91/17.13  																							|
% 47.91/17.13  																							+-Applying beta-rule and splitting (182), into two cases.
% 47.91/17.13  																							|-Branch one:
% 47.91/17.13  																							| (512) all_0_85_85 = e2
% 47.91/17.13  																							|
% 47.91/17.13  																								| Equations (512) can reduce 515 to:
% 47.91/17.13  																								| (311) $false
% 47.91/17.13  																								|
% 47.91/17.13  																								|-The branch is then unsatisfiable
% 47.91/17.13  																							|-Branch two:
% 47.91/17.13  																							| (515)  ~ (all_0_85_85 = e2)
% 47.91/17.13  																							| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.91/17.13  																							|
% 47.91/17.13  																								+-Applying beta-rule and splitting (725), into two cases.
% 47.91/17.13  																								|-Branch one:
% 47.91/17.13  																								| (804) all_0_85_85 = e3
% 47.91/17.13  																								|
% 47.91/17.13  																									| Equations (804) can reduce 118 to:
% 47.91/17.13  																									| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 201 to:
% 47.91/17.13  																									| (807)  ~ (all_0_93_93 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Simplifying 807 yields:
% 47.91/17.13  																									| (602)  ~ (all_0_93_93 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 75 to:
% 47.91/17.13  																									| (1518)  ~ (all_0_98_98 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Simplifying 1518 yields:
% 47.91/17.13  																									| (1519)  ~ (all_0_98_98 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 648 to:
% 47.91/17.13  																									| (783)  ~ (e4 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Simplifying 783 yields:
% 47.91/17.13  																									| (177)  ~ (e4 = e3)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 515 to:
% 47.91/17.13  																									| (169)  ~ (e3 = e2)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 128 to:
% 47.91/17.13  																									| (20)  ~ (e3 = e1)
% 47.91/17.13  																									|
% 47.91/17.13  																									| Equations (804) can reduce 800 to:
% 47.91/17.13  																									| (50)  ~ (e3 = e0)
% 47.91/17.13  																									|
% 47.91/17.13  																									| From (804) and (26) follows:
% 47.91/17.13  																									| (1891) op(e0, e3) = all_0_71_71
% 47.91/17.13  																									|
% 47.91/17.13  																									| Instantiating formula (262) with e0, e3, all_0_71_71, all_0_95_95 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_95_95, yields:
% 47.91/17.13  																									| (14316) all_0_71_71 = all_0_95_95
% 47.91/17.13  																									|
% 47.91/17.13  																									+-Applying beta-rule and splitting (289), into two cases.
% 47.91/17.13  																									|-Branch one:
% 47.91/17.13  																									| (954) all_0_85_85 = e0
% 47.91/17.13  																									|
% 47.91/17.13  																										| Combining equations (804,954) yields a new equation:
% 47.91/17.13  																										| (599) e3 = e0
% 47.91/17.13  																										|
% 47.91/17.13  																										| Simplifying 599 yields:
% 47.91/17.13  																										| (600) e3 = e0
% 47.91/17.13  																										|
% 47.91/17.13  																										| Equations (600) can reduce 50 to:
% 47.91/17.13  																										| (311) $false
% 47.91/17.13  																										|
% 47.91/17.13  																										|-The branch is then unsatisfiable
% 47.91/17.13  																									|-Branch two:
% 47.91/17.13  																									| (800)  ~ (all_0_85_85 = e0)
% 47.91/17.13  																									| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 47.91/17.13  																									|
% 47.91/17.13  																										+-Applying beta-rule and splitting (106), into two cases.
% 47.91/17.13  																										|-Branch one:
% 47.91/17.13  																										| (771) all_0_78_78 = e3
% 47.91/17.13  																										|
% 47.91/17.13  																											| Combining equations (771,400) yields a new equation:
% 47.91/17.13  																											| (547) e3 = e2
% 47.91/17.13  																											|
% 47.91/17.13  																											| Simplifying 547 yields:
% 47.91/17.13  																											| (548) e3 = e2
% 47.91/17.13  																											|
% 47.91/17.13  																											| Equations (548) can reduce 169 to:
% 47.91/17.13  																											| (311) $false
% 47.91/17.13  																											|
% 47.91/17.13  																											|-The branch is then unsatisfiable
% 47.91/17.13  																										|-Branch two:
% 47.91/17.13  																										| (418)  ~ (all_0_78_78 = e3)
% 47.91/17.13  																										| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 47.91/17.13  																										|
% 47.91/17.13  																											+-Applying beta-rule and splitting (102), into two cases.
% 47.91/17.13  																											|-Branch one:
% 47.91/17.13  																											| (858) all_0_95_95 = e0
% 47.91/17.13  																											|
% 47.91/17.13  																												| Equations (858) can reduce 893 to:
% 47.91/17.13  																												| (311) $false
% 47.91/17.13  																												|
% 47.91/17.13  																												|-The branch is then unsatisfiable
% 47.91/17.13  																											|-Branch two:
% 47.91/17.13  																											| (893)  ~ (all_0_95_95 = e0)
% 47.91/17.13  																											| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 47.91/17.13  																											|
% 47.91/17.13  																												+-Applying beta-rule and splitting (276), into two cases.
% 47.91/17.13  																												|-Branch one:
% 47.91/17.13  																												| (577) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)) | (all_0_64_64 = e2 &  ~ (all_0_65_65 = e1))
% 47.91/17.13  																												|
% 47.91/17.13  																													+-Applying beta-rule and splitting (577), into two cases.
% 47.91/17.13  																													|-Branch one:
% 47.91/17.13  																													| (578) (all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)) | (all_0_62_62 = e3 &  ~ (all_0_63_63 = e1))
% 47.91/17.13  																													|
% 47.91/17.13  																														+-Applying beta-rule and splitting (578), into two cases.
% 47.91/17.13  																														|-Branch one:
% 47.91/17.13  																														| (579) all_0_60_60 = e4 &  ~ (all_0_61_61 = e1)
% 47.91/17.13  																														|
% 47.91/17.13  																															| Applying alpha-rule on (579) yields:
% 47.91/17.13  																															| (580) all_0_60_60 = e4
% 47.91/17.13  																															| (581)  ~ (all_0_61_61 = e1)
% 47.91/17.13  																															|
% 47.91/17.13  																															| From (580) and (233) follows:
% 47.91/17.14  																															| (11792) op(e1, all_0_80_80) = e4
% 47.91/17.14  																															|
% 47.91/17.14  																															+-Applying beta-rule and splitting (207), into two cases.
% 47.91/17.14  																															|-Branch one:
% 47.91/17.14  																															| (416) all_0_80_80 = e3
% 47.91/17.14  																															|
% 47.91/17.14  																																| From (416) and (11792) follows:
% 47.91/17.14  																																| (4391) op(e1, e3) = e4
% 47.91/17.14  																																|
% 47.91/17.14  																																| Instantiating formula (262) with e1, e3, e4, all_0_90_90 and discharging atoms op(e1, e3) = all_0_90_90, op(e1, e3) = e4, yields:
% 47.91/17.14  																																| (583) all_0_90_90 = e4
% 47.91/17.14  																																|
% 47.91/17.14  																																| Equations (583) can reduce 467 to:
% 47.91/17.14  																																| (311) $false
% 47.91/17.14  																																|
% 47.91/17.14  																																|-The branch is then unsatisfiable
% 47.91/17.14  																															|-Branch two:
% 47.91/17.14  																															| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.14  																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.91/17.14  																															|
% 47.91/17.14  																																+-Applying beta-rule and splitting (45), into two cases.
% 47.91/17.14  																																|-Branch one:
% 47.91/17.14  																																| (546) all_0_80_80 = e2
% 47.91/17.14  																																|
% 47.91/17.14  																																	| Equations (546) can reduce 394 to:
% 47.91/17.14  																																	| (311) $false
% 47.91/17.14  																																	|
% 47.91/17.14  																																	|-The branch is then unsatisfiable
% 47.91/17.14  																																|-Branch two:
% 47.91/17.14  																																| (394)  ~ (all_0_80_80 = e2)
% 47.91/17.14  																																| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.91/17.14  																																|
% 47.91/17.14  																																	+-Applying beta-rule and splitting (3232), into two cases.
% 47.91/17.14  																																	|-Branch one:
% 47.91/17.14  																																	| (824) all_0_80_80 = e1
% 47.91/17.14  																																	|
% 47.91/17.14  																																		| Equations (824) can reduce 828 to:
% 47.91/17.14  																																		| (311) $false
% 47.91/17.14  																																		|
% 47.91/17.14  																																		|-The branch is then unsatisfiable
% 47.91/17.14  																																	|-Branch two:
% 47.91/17.14  																																	| (828)  ~ (all_0_80_80 = e1)
% 47.91/17.14  																																	| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 47.91/17.14  																																	|
% 47.91/17.14  																																		+-Applying beta-rule and splitting (4018), into two cases.
% 47.91/17.14  																																		|-Branch one:
% 47.91/17.14  																																		| (416) all_0_80_80 = e3
% 47.91/17.14  																																		|
% 47.91/17.14  																																			| Equations (416) can reduce 2347 to:
% 47.91/17.14  																																			| (311) $false
% 47.91/17.14  																																			|
% 47.91/17.14  																																			|-The branch is then unsatisfiable
% 47.91/17.14  																																		|-Branch two:
% 47.91/17.14  																																		| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.14  																																		| (433) all_0_80_80 = e4
% 47.91/17.14  																																		|
% 47.91/17.14  																																			| Equations (433) can reduce 63 to:
% 47.91/17.14  																																			| (235)  ~ (all_0_79_79 = e4)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			| Equations (433) can reduce 202 to:
% 47.91/17.14  																																			| (318)  ~ (all_0_97_97 = e4)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			| Simplifying 318 yields:
% 47.91/17.14  																																			| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			| Equations (433) can reduce 394 to:
% 47.91/17.14  																																			| (79)  ~ (e4 = e2)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			| Equations (433) can reduce 828 to:
% 47.91/17.14  																																			| (256)  ~ (e4 = e1)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			| Equations (433) can reduce 166 to:
% 47.91/17.14  																																			| (23)  ~ (e4 = e0)
% 47.91/17.14  																																			|
% 47.91/17.14  																																			+-Applying beta-rule and splitting (140), into two cases.
% 47.91/17.14  																																			|-Branch one:
% 47.91/17.14  																																			| (313) all_0_94_94 = e4
% 47.91/17.14  																																			|
% 47.91/17.14  																																				| Combining equations (1757,313) yields a new equation:
% 47.91/17.14  																																				| (310) e4 = e2
% 47.91/17.14  																																				|
% 47.91/17.14  																																				| Equations (310) can reduce 79 to:
% 47.91/17.14  																																				| (311) $false
% 47.91/17.14  																																				|
% 47.91/17.14  																																				|-The branch is then unsatisfiable
% 47.91/17.14  																																			|-Branch two:
% 47.91/17.14  																																			| (34849)  ~ (all_0_94_94 = e4)
% 47.91/17.14  																																			| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.91/17.14  																																			|
% 47.91/17.14  																																				+-Applying beta-rule and splitting (123), into two cases.
% 47.91/17.14  																																				|-Branch one:
% 47.91/17.14  																																				| (473) all_0_81_81 = e2
% 47.91/17.14  																																				|
% 47.91/17.14  																																					| Equations (473) can reduce 396 to:
% 47.91/17.14  																																					| (311) $false
% 47.91/17.14  																																					|
% 47.91/17.14  																																					|-The branch is then unsatisfiable
% 47.91/17.14  																																				|-Branch two:
% 47.91/17.14  																																				| (396)  ~ (all_0_81_81 = e2)
% 47.91/17.14  																																				| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.91/17.14  																																				|
% 47.91/17.14  																																					+-Applying beta-rule and splitting (34850), into two cases.
% 47.91/17.14  																																					|-Branch one:
% 47.91/17.14  																																					| (894) all_0_95_95 = e4
% 47.91/17.14  																																					|
% 47.91/17.14  																																						| Equations (894) can reduce 315 to:
% 47.91/17.14  																																						| (311) $false
% 47.91/17.14  																																						|
% 47.91/17.14  																																						|-The branch is then unsatisfiable
% 47.91/17.14  																																					|-Branch two:
% 47.91/17.14  																																					| (315)  ~ (all_0_95_95 = e4)
% 47.91/17.14  																																					| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.91/17.14  																																					|
% 47.91/17.14  																																						+-Applying beta-rule and splitting (34882), into two cases.
% 47.91/17.14  																																						|-Branch one:
% 47.91/17.14  																																						| (610) all_0_97_97 = e4
% 47.91/17.14  																																						|
% 47.91/17.14  																																							| Equations (610) can reduce 319 to:
% 47.91/17.14  																																							| (311) $false
% 47.91/17.14  																																							|
% 47.91/17.14  																																							|-The branch is then unsatisfiable
% 47.91/17.14  																																						|-Branch two:
% 47.91/17.14  																																						| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.14  																																						| (2650) all_0_98_98 = e4
% 47.91/17.14  																																						|
% 47.91/17.14  																																							| Equations (2650) can reduce 5 to:
% 47.91/17.14  																																							| (634)  ~ (all_0_81_81 = e4)
% 47.91/17.14  																																							|
% 47.91/17.14  																																							| Equations (2650) can reduce 13 to:
% 47.91/17.14  																																							| (496)  ~ (all_0_93_93 = e4)
% 47.91/17.14  																																							|
% 47.91/17.14  																																							| Equations (2650) can reduce 148 to:
% 47.91/17.14  																																							| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.14  																																							|
% 47.91/17.14  																																							| Equations (2650) can reduce 1519 to:
% 47.91/17.14  																																							| (177)  ~ (e4 = e3)
% 47.91/17.14  																																							|
% 47.91/17.14  																																							| From (2650) and (38) follows:
% 47.91/17.14  																																							| (37418) op(e0, e0) = e4
% 47.91/17.14  																																							|
% 47.91/17.14  																																							+-Applying beta-rule and splitting (1756), into two cases.
% 47.91/17.14  																																							|-Branch one:
% 47.91/17.14  																																							| (1708) all_0_79_79 = e3
% 47.91/17.14  																																							|
% 47.91/17.14  																																								| Equations (1708) can reduce 15 to:
% 47.91/17.14  																																								| (419)  ~ (all_0_81_81 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Simplifying 419 yields:
% 47.91/17.14  																																								| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Equations (1708) can reduce 17 to:
% 47.91/17.14  																																								| (1298)  ~ (all_0_91_91 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Simplifying 1298 yields:
% 47.91/17.14  																																								| (571)  ~ (all_0_91_91 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Equations (1708) can reduce 214 to:
% 47.91/17.14  																																								| (1300)  ~ (all_0_96_96 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Simplifying 1300 yields:
% 47.91/17.14  																																								| (964)  ~ (all_0_96_96 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Equations (1708) can reduce 235 to:
% 47.91/17.14  																																								| (783)  ~ (e4 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Simplifying 783 yields:
% 47.91/17.14  																																								| (177)  ~ (e4 = e3)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								| Equations (1708) can reduce 1622 to:
% 47.91/17.14  																																								| (169)  ~ (e3 = e2)
% 47.91/17.14  																																								|
% 47.91/17.14  																																								+-Applying beta-rule and splitting (282), into two cases.
% 47.91/17.14  																																								|-Branch one:
% 47.91/17.14  																																								| (754) all_0_90_90 = e3
% 47.91/17.14  																																								|
% 47.91/17.14  																																									| Equations (754) can reduce 229 to:
% 47.91/17.14  																																									| (1070)  ~ (all_0_95_95 = e3)
% 47.91/17.14  																																									|
% 47.91/17.14  																																									| Simplifying 1070 yields:
% 47.91/17.14  																																									| (765)  ~ (all_0_95_95 = e3)
% 47.91/17.14  																																									|
% 47.91/17.14  																																									| Equations (754) can reduce 294 to:
% 47.91/17.14  																																									| (169)  ~ (e3 = e2)
% 47.91/17.14  																																									|
% 47.91/17.14  																																									| Equations (754) can reduce 762 to:
% 47.91/17.14  																																									| (50)  ~ (e3 = e0)
% 47.91/17.14  																																									|
% 47.91/17.14  																																									+-Applying beta-rule and splitting (188), into two cases.
% 47.91/17.14  																																									|-Branch one:
% 47.91/17.14  																																									| (676) all_0_78_78 = e1
% 47.91/17.14  																																									|
% 47.91/17.14  																																										| Combining equations (676,400) yields a new equation:
% 47.91/17.14  																																										| (385) e2 = e1
% 47.91/17.14  																																										|
% 47.91/17.14  																																										| Equations (385) can reduce 243 to:
% 47.91/17.14  																																										| (311) $false
% 47.91/17.14  																																										|
% 47.91/17.14  																																										|-The branch is then unsatisfiable
% 47.91/17.14  																																									|-Branch two:
% 47.91/17.14  																																									| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.14  																																									| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.14  																																									|
% 47.91/17.14  																																										+-Applying beta-rule and splitting (1718), into two cases.
% 47.91/17.14  																																										|-Branch one:
% 47.91/17.14  																																										| (384) all_0_86_86 = e1
% 47.91/17.14  																																										|
% 47.91/17.14  																																											| Combining equations (384,378) yields a new equation:
% 47.91/17.14  																																											| (1107) e1 = e0
% 47.91/17.14  																																											|
% 47.91/17.14  																																											| Simplifying 1107 yields:
% 47.91/17.14  																																											| (865) e1 = e0
% 47.91/17.14  																																											|
% 47.91/17.14  																																											| Equations (865) can reduce 264 to:
% 47.91/17.14  																																											| (311) $false
% 47.91/17.14  																																											|
% 47.91/17.14  																																											|-The branch is then unsatisfiable
% 47.91/17.14  																																										|-Branch two:
% 47.91/17.14  																																										| (387)  ~ (all_0_86_86 = e1)
% 47.91/17.14  																																										| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.14  																																										|
% 47.91/17.14  																																											+-Applying beta-rule and splitting (2122), into two cases.
% 47.91/17.14  																																											|-Branch one:
% 47.91/17.14  																																											| (750) all_0_90_90 = e1
% 47.91/17.14  																																											|
% 47.91/17.14  																																												| Combining equations (750,754) yields a new equation:
% 47.91/17.14  																																												| (772) e3 = e1
% 47.91/17.14  																																												|
% 47.91/17.14  																																												| Equations (772) can reduce 20 to:
% 47.91/17.14  																																												| (311) $false
% 47.91/17.14  																																												|
% 47.91/17.14  																																												|-The branch is then unsatisfiable
% 47.91/17.14  																																											|-Branch two:
% 47.91/17.14  																																											| (678)  ~ (all_0_90_90 = e1)
% 47.91/17.14  																																											| (785) all_0_95_95 = e1
% 47.91/17.14  																																											|
% 47.91/17.14  																																												| Combining equations (785,14316) yields a new equation:
% 47.91/17.14  																																												| (1967) all_0_71_71 = e1
% 47.91/17.14  																																												|
% 47.91/17.14  																																												| Equations (785) can reduce 279 to:
% 47.91/17.14  																																												| (1671)  ~ (all_0_96_96 = e1)
% 47.91/17.14  																																												|
% 47.91/17.15  																																												| Simplifying 1671 yields:
% 47.91/17.15  																																												| (1479)  ~ (all_0_96_96 = e1)
% 47.91/17.15  																																												|
% 47.91/17.15  																																												| Equations (785) can reduce 765 to:
% 47.91/17.15  																																												| (683)  ~ (e3 = e1)
% 47.91/17.15  																																												|
% 47.91/17.15  																																												| Simplifying 683 yields:
% 47.91/17.15  																																												| (20)  ~ (e3 = e1)
% 47.91/17.15  																																												|
% 47.91/17.15  																																												| Equations (785) can reduce 893 to:
% 47.91/17.15  																																												| (264)  ~ (e1 = e0)
% 47.91/17.15  																																												|
% 47.91/17.15  																																												| From (785) and (280) follows:
% 47.91/17.15  																																												| (13196) op(e0, e1) = all_0_51_51
% 47.91/17.15  																																												|
% 47.91/17.15  																																												+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.15  																																												|-Branch one:
% 47.91/17.15  																																												| (457) all_0_79_79 = e1
% 47.91/17.15  																																												|
% 47.91/17.15  																																													| Combining equations (1708,457) yields a new equation:
% 47.91/17.15  																																													| (825) e3 = e1
% 47.91/17.15  																																													|
% 47.91/17.15  																																													| Simplifying 825 yields:
% 47.91/17.15  																																													| (772) e3 = e1
% 47.91/17.15  																																													|
% 47.91/17.15  																																													| Equations (772) can reduce 20 to:
% 47.91/17.15  																																													| (311) $false
% 47.91/17.15  																																													|
% 47.91/17.15  																																													|-The branch is then unsatisfiable
% 47.91/17.15  																																												|-Branch two:
% 47.91/17.15  																																												| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.15  																																												| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.15  																																												|
% 47.91/17.15  																																													+-Applying beta-rule and splitting (462), into two cases.
% 47.91/17.15  																																													|-Branch one:
% 47.91/17.15  																																													| (801) all_0_91_91 = e1
% 47.91/17.15  																																													|
% 47.91/17.15  																																														+-Applying beta-rule and splitting (291), into two cases.
% 47.91/17.15  																																														|-Branch one:
% 47.91/17.15  																																														| (758) all_0_90_90 = e0
% 47.91/17.15  																																														|
% 47.91/17.15  																																															| Combining equations (754,758) yields a new equation:
% 47.91/17.15  																																															| (599) e3 = e0
% 47.91/17.15  																																															|
% 47.91/17.15  																																															| Simplifying 599 yields:
% 47.91/17.15  																																															| (600) e3 = e0
% 47.91/17.15  																																															|
% 47.91/17.15  																																															| Equations (600) can reduce 50 to:
% 47.91/17.15  																																															| (311) $false
% 47.91/17.15  																																															|
% 47.91/17.15  																																															|-The branch is then unsatisfiable
% 47.91/17.15  																																														|-Branch two:
% 47.91/17.15  																																														| (762)  ~ (all_0_90_90 = e0)
% 47.91/17.15  																																														| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.91/17.15  																																														|
% 47.91/17.15  																																															+-Applying beta-rule and splitting (65), into two cases.
% 47.91/17.15  																																															|-Branch one:
% 47.91/17.15  																																															| (522) all_0_93_93 = e2
% 47.91/17.15  																																															|
% 47.91/17.15  																																																| Equations (522) can reduce 300 to:
% 47.91/17.15  																																																| (311) $false
% 47.91/17.15  																																																|
% 47.91/17.15  																																																|-The branch is then unsatisfiable
% 47.91/17.15  																																															|-Branch two:
% 47.91/17.15  																																															| (300)  ~ (all_0_93_93 = e2)
% 47.91/17.15  																																															| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 47.91/17.15  																																															|
% 47.91/17.15  																																																+-Applying beta-rule and splitting (84), into two cases.
% 47.91/17.15  																																																|-Branch one:
% 47.91/17.15  																																																| (1704) all_0_96_96 = e2
% 47.91/17.15  																																																|
% 47.91/17.15  																																																	| Equations (1704) can reduce 1638 to:
% 47.91/17.15  																																																	| (311) $false
% 47.91/17.15  																																																	|
% 47.91/17.15  																																																	|-The branch is then unsatisfiable
% 47.91/17.15  																																																|-Branch two:
% 47.91/17.15  																																																| (1638)  ~ (all_0_96_96 = e2)
% 47.91/17.15  																																																| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.91/17.15  																																																|
% 47.91/17.15  																																																	+-Applying beta-rule and splitting (1400), into two cases.
% 47.91/17.15  																																																	|-Branch one:
% 47.91/17.15  																																																	| (1456) all_0_91_91 = e0
% 47.91/17.15  																																																	|
% 47.91/17.15  																																																		| Combining equations (801,1456) yields a new equation:
% 47.91/17.15  																																																		| (1107) e1 = e0
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Simplifying 1107 yields:
% 47.91/17.15  																																																		| (865) e1 = e0
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Equations (865) can reduce 264 to:
% 47.91/17.15  																																																		| (311) $false
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		|-The branch is then unsatisfiable
% 47.91/17.15  																																																	|-Branch two:
% 47.91/17.15  																																																	| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.15  																																																	| (1837) all_0_96_96 = e0
% 47.91/17.15  																																																	|
% 47.91/17.15  																																																		| Combining equations (1837,18823) yields a new equation:
% 47.91/17.15  																																																		| (19296) all_0_73_73 = e0
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Equations (1837) can reduce 964 to:
% 47.91/17.15  																																																		| (906)  ~ (e3 = e0)
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Simplifying 906 yields:
% 47.91/17.15  																																																		| (50)  ~ (e3 = e0)
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Equations (1837) can reduce 1638 to:
% 47.91/17.15  																																																		| (510)  ~ (e2 = e0)
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| Simplifying 510 yields:
% 47.91/17.15  																																																		| (76)  ~ (e2 = e0)
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		| From (1837) and (268) follows:
% 47.91/17.15  																																																		| (5798) op(e0, e0) = all_0_59_59
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																		+-Applying beta-rule and splitting (2481), into two cases.
% 47.91/17.15  																																																		|-Branch one:
% 47.91/17.15  																																																		| (1265) all_0_84_84 = e3
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																			| Combining equations (916,1265) yields a new equation:
% 47.91/17.15  																																																			| (600) e3 = e0
% 47.91/17.15  																																																			|
% 47.91/17.15  																																																			| Equations (600) can reduce 50 to:
% 47.91/17.15  																																																			| (311) $false
% 47.91/17.15  																																																			|
% 47.91/17.15  																																																			|-The branch is then unsatisfiable
% 47.91/17.15  																																																		|-Branch two:
% 47.91/17.15  																																																		| (422)  ~ (all_0_84_84 = e3)
% 47.91/17.15  																																																		| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.91/17.15  																																																		|
% 47.91/17.15  																																																			+-Applying beta-rule and splitting (3765), into two cases.
% 47.91/17.15  																																																			|-Branch one:
% 47.91/17.15  																																																			| (882) all_0_92_92 = e3
% 47.91/17.15  																																																			|
% 47.91/17.15  																																																				| Combining equations (1343,882) yields a new equation:
% 47.91/17.15  																																																				| (548) e3 = e2
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																				| Equations (548) can reduce 169 to:
% 47.91/17.15  																																																				| (311) $false
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																				|-The branch is then unsatisfiable
% 47.91/17.15  																																																			|-Branch two:
% 47.91/17.15  																																																			| (426)  ~ (all_0_92_92 = e3)
% 47.91/17.15  																																																			| (556) all_0_97_97 = e3
% 47.91/17.15  																																																			|
% 47.91/17.15  																																																				| Equations (556) can reduce 319 to:
% 47.91/17.15  																																																				| (783)  ~ (e4 = e3)
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																				| Simplifying 783 yields:
% 47.91/17.15  																																																				| (177)  ~ (e4 = e3)
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																				| From (556) and (147) follows:
% 47.91/17.15  																																																				| (13234) op(e0, e1) = e3
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																				+-Applying beta-rule and splitting (108), into two cases.
% 47.91/17.15  																																																				|-Branch one:
% 47.91/17.15  																																																				| (477) all_0_81_81 = e1
% 47.91/17.15  																																																				|
% 47.91/17.15  																																																					| Equations (477) can reduce 634 to:
% 47.91/17.15  																																																					| (681)  ~ (e4 = e1)
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					| Simplifying 681 yields:
% 47.91/17.15  																																																					| (256)  ~ (e4 = e1)
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					| Equations (477) can reduce 420 to:
% 47.91/17.15  																																																					| (683)  ~ (e3 = e1)
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					| Simplifying 683 yields:
% 47.91/17.15  																																																					| (20)  ~ (e3 = e1)
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					| Equations (477) can reduce 257 to:
% 47.91/17.15  																																																					| (264)  ~ (e1 = e0)
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					| From (477) and (145) follows:
% 47.91/17.15  																																																					| (14221) op(e0, e1) = all_0_69_69
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																					+-Applying beta-rule and splitting (1455), into two cases.
% 47.91/17.15  																																																					|-Branch one:
% 47.91/17.15  																																																					| (1456) all_0_91_91 = e0
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																						| Combining equations (801,1456) yields a new equation:
% 47.91/17.15  																																																						| (1107) e1 = e0
% 47.91/17.15  																																																						|
% 47.91/17.15  																																																						| Simplifying 1107 yields:
% 47.91/17.15  																																																						| (865) e1 = e0
% 47.91/17.15  																																																						|
% 47.91/17.15  																																																						| Equations (865) can reduce 264 to:
% 47.91/17.15  																																																						| (311) $false
% 47.91/17.15  																																																						|
% 47.91/17.15  																																																						|-The branch is then unsatisfiable
% 47.91/17.15  																																																					|-Branch two:
% 47.91/17.15  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.15  																																																					| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.91/17.15  																																																					|
% 47.91/17.15  																																																						+-Applying beta-rule and splitting (1077), into two cases.
% 47.91/17.15  																																																						|-Branch one:
% 47.91/17.15  																																																						| (507) all_0_88_88 = e0
% 47.91/17.15  																																																						|
% 47.91/17.15  																																																							| Combining equations (370,507) yields a new equation:
% 47.91/17.15  																																																							| (923) e2 = e0
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																							| Simplifying 923 yields:
% 47.91/17.15  																																																							| (379) e2 = e0
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																							| Equations (379) can reduce 76 to:
% 47.91/17.15  																																																							| (311) $false
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																							|-The branch is then unsatisfiable
% 47.91/17.15  																																																						|-Branch two:
% 47.91/17.15  																																																						| (1110)  ~ (all_0_88_88 = e0)
% 47.91/17.15  																																																						| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.91/17.15  																																																						|
% 47.91/17.15  																																																							| Equations (370) can reduce 1110 to:
% 47.91/17.15  																																																							| (76)  ~ (e2 = e0)
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																							+-Applying beta-rule and splitting (1488), into two cases.
% 47.91/17.15  																																																							|-Branch one:
% 47.91/17.15  																																																							| (942) all_0_92_92 = e0
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																								| Combining equations (1343,942) yields a new equation:
% 47.91/17.15  																																																								| (923) e2 = e0
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Simplifying 923 yields:
% 47.91/17.15  																																																								| (379) e2 = e0
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Equations (379) can reduce 76 to:
% 47.91/17.15  																																																								| (311) $false
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								|-The branch is then unsatisfiable
% 47.91/17.15  																																																							|-Branch two:
% 47.91/17.15  																																																							| (946)  ~ (all_0_92_92 = e0)
% 47.91/17.15  																																																							| (604) all_0_93_93 = e0
% 47.91/17.15  																																																							|
% 47.91/17.15  																																																								| Equations (604) can reduce 300 to:
% 47.91/17.15  																																																								| (510)  ~ (e2 = e0)
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Simplifying 510 yields:
% 47.91/17.15  																																																								| (76)  ~ (e2 = e0)
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| From (604) and (173) follows:
% 47.91/17.15  																																																								| (9825) op(e0, e0) = all_0_75_75
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Instantiating formula (262) with e0, e1, all_0_69_69, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = all_0_69_69, yields:
% 47.91/17.15  																																																								| (15962) all_0_51_51 = all_0_69_69
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Instantiating formula (262) with e0, e1, e3, all_0_51_51 and discharging atoms op(e0, e1) = all_0_51_51, op(e0, e1) = e3, yields:
% 47.91/17.15  																																																								| (1551) all_0_51_51 = e3
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Instantiating formula (262) with e0, e0, all_0_75_75, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = all_0_75_75, yields:
% 47.91/17.15  																																																								| (9857) all_0_59_59 = all_0_75_75
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Instantiating formula (262) with e0, e0, e4, all_0_59_59 and discharging atoms op(e0, e0) = all_0_59_59, op(e0, e0) = e4, yields:
% 47.91/17.15  																																																								| (20342) all_0_59_59 = e4
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Combining equations (15962,1551) yields a new equation:
% 47.91/17.15  																																																								| (17681) all_0_69_69 = e3
% 47.91/17.15  																																																								|
% 47.91/17.15  																																																								| Simplifying 17681 yields:
% 47.91/17.15  																																																								| (1902) all_0_69_69 = e3
% 47.91/17.15  																																																								|
% 47.91/17.16  																																																								| Combining equations (9857,20342) yields a new equation:
% 47.91/17.16  																																																								| (45949) all_0_75_75 = e4
% 47.91/17.16  																																																								|
% 47.91/17.16  																																																								| Simplifying 45949 yields:
% 47.91/17.16  																																																								| (1966) all_0_75_75 = e4
% 47.91/17.16  																																																								|
% 47.91/17.16  																																																								+-Applying beta-rule and splitting (89), into two cases.
% 47.91/17.16  																																																								|-Branch one:
% 47.91/17.16  																																																								| (1373) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)) | (all_0_73_73 = e2 &  ~ (all_0_74_74 = e0))
% 47.91/17.16  																																																								|
% 47.91/17.16  																																																									+-Applying beta-rule and splitting (1373), into two cases.
% 47.91/17.16  																																																									|-Branch one:
% 47.91/17.16  																																																									| (1374) (all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)) | (all_0_71_71 = e3 &  ~ (all_0_72_72 = e0))
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																										+-Applying beta-rule and splitting (1374), into two cases.
% 47.91/17.16  																																																										|-Branch one:
% 47.91/17.16  																																																										| (1375) all_0_69_69 = e4 &  ~ (all_0_70_70 = e0)
% 47.91/17.16  																																																										|
% 47.91/17.16  																																																											| Applying alpha-rule on (1375) yields:
% 47.91/17.16  																																																											| (1376) all_0_69_69 = e4
% 47.91/17.16  																																																											| (1377)  ~ (all_0_70_70 = e0)
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Combining equations (1376,1902) yields a new equation:
% 47.91/17.16  																																																											| (790) e4 = e3
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Simplifying 790 yields:
% 47.91/17.16  																																																											| (434) e4 = e3
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Equations (434) can reduce 177 to:
% 47.91/17.16  																																																											| (311) $false
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											|-The branch is then unsatisfiable
% 47.91/17.16  																																																										|-Branch two:
% 47.91/17.16  																																																										| (1379) all_0_71_71 = e3 &  ~ (all_0_72_72 = e0)
% 47.91/17.16  																																																										|
% 47.91/17.16  																																																											| Applying alpha-rule on (1379) yields:
% 47.91/17.16  																																																											| (1380) all_0_71_71 = e3
% 47.91/17.16  																																																											| (1381)  ~ (all_0_72_72 = e0)
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Combining equations (1380,1967) yields a new equation:
% 47.91/17.16  																																																											| (825) e3 = e1
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Simplifying 825 yields:
% 47.91/17.16  																																																											| (772) e3 = e1
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											| Equations (772) can reduce 20 to:
% 47.91/17.16  																																																											| (311) $false
% 47.91/17.16  																																																											|
% 47.91/17.16  																																																											|-The branch is then unsatisfiable
% 47.91/17.16  																																																									|-Branch two:
% 47.91/17.16  																																																									| (1385) all_0_73_73 = e2 &  ~ (all_0_74_74 = e0)
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																										| Applying alpha-rule on (1385) yields:
% 47.91/17.16  																																																										| (1386) all_0_73_73 = e2
% 47.91/17.16  																																																										| (1387)  ~ (all_0_74_74 = e0)
% 47.91/17.16  																																																										|
% 47.91/17.16  																																																										| Combining equations (19296,1386) yields a new equation:
% 47.91/17.16  																																																										| (379) e2 = e0
% 47.91/17.16  																																																										|
% 47.91/17.16  																																																										| Equations (379) can reduce 76 to:
% 47.91/17.16  																																																										| (311) $false
% 47.91/17.16  																																																										|
% 47.91/17.16  																																																										|-The branch is then unsatisfiable
% 47.91/17.16  																																																								|-Branch two:
% 47.91/17.16  																																																								| (1391) all_0_75_75 = e1 &  ~ (all_0_76_76 = e0)
% 47.91/17.16  																																																								|
% 47.91/17.16  																																																									| Applying alpha-rule on (1391) yields:
% 47.91/17.16  																																																									| (1392) all_0_75_75 = e1
% 47.91/17.16  																																																									| (1393)  ~ (all_0_76_76 = e0)
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																									| Combining equations (1966,1392) yields a new equation:
% 47.91/17.16  																																																									| (813) e4 = e1
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																									| Simplifying 813 yields:
% 47.91/17.16  																																																									| (814) e4 = e1
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																									| Equations (814) can reduce 256 to:
% 47.91/17.16  																																																									| (311) $false
% 47.91/17.16  																																																									|
% 47.91/17.16  																																																									|-The branch is then unsatisfiable
% 47.91/17.16  																																																				|-Branch two:
% 47.91/17.16  																																																				| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.16  																																																				| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.16  																																																				|
% 47.91/17.16  																																																					+-Applying beta-rule and splitting (476), into two cases.
% 47.91/17.16  																																																					|-Branch one:
% 47.91/17.16  																																																					| (477) all_0_81_81 = e1
% 47.91/17.16  																																																					|
% 47.91/17.16  																																																						| Equations (477) can reduce 628 to:
% 47.91/17.16  																																																						| (311) $false
% 47.91/17.16  																																																						|
% 47.91/17.16  																																																						|-The branch is then unsatisfiable
% 47.91/17.16  																																																					|-Branch two:
% 47.91/17.16  																																																					| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.16  																																																					| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.91/17.16  																																																					|
% 47.91/17.16  																																																						+-Applying beta-rule and splitting (629), into two cases.
% 47.91/17.16  																																																						|-Branch one:
% 47.91/17.16  																																																						| (635) all_0_81_81 = e3
% 47.91/17.16  																																																						|
% 47.91/17.16  																																																							| Equations (635) can reduce 420 to:
% 47.91/17.16  																																																							| (311) $false
% 47.91/17.16  																																																							|
% 47.91/17.16  																																																							|-The branch is then unsatisfiable
% 47.91/17.16  																																																						|-Branch two:
% 47.91/17.16  																																																						| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.16  																																																						| (638) all_0_81_81 = e4
% 47.91/17.16  																																																						|
% 47.91/17.16  																																																							| Equations (638) can reduce 634 to:
% 47.91/17.16  																																																							| (311) $false
% 47.91/17.16  																																																							|
% 47.91/17.16  																																																							|-The branch is then unsatisfiable
% 47.91/17.16  																																													|-Branch two:
% 47.91/17.16  																																													| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.16  																																													| (960) all_0_96_96 = e1
% 47.91/17.16  																																													|
% 47.91/17.16  																																														| Equations (960) can reduce 1479 to:
% 47.91/17.16  																																														| (311) $false
% 47.91/17.16  																																														|
% 47.91/17.16  																																														|-The branch is then unsatisfiable
% 47.91/17.16  																																								|-Branch two:
% 47.91/17.16  																																								| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.16  																																								| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.91/17.16  																																								|
% 47.91/17.16  																																									+-Applying beta-rule and splitting (220), into two cases.
% 47.91/17.16  																																									|-Branch one:
% 47.91/17.16  																																									| (771) all_0_78_78 = e3
% 47.91/17.16  																																									|
% 47.91/17.16  																																										| Combining equations (400,771) yields a new equation:
% 47.91/17.16  																																										| (548) e3 = e2
% 47.91/17.16  																																										|
% 47.91/17.16  																																										| Equations (548) can reduce 169 to:
% 47.91/17.16  																																										| (311) $false
% 47.91/17.16  																																										|
% 47.91/17.16  																																										|-The branch is then unsatisfiable
% 47.91/17.16  																																									|-Branch two:
% 47.91/17.16  																																									| (418)  ~ (all_0_78_78 = e3)
% 47.91/17.16  																																									| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.91/17.16  																																									|
% 47.91/17.16  																																										+-Applying beta-rule and splitting (775), into two cases.
% 47.91/17.16  																																										|-Branch one:
% 47.91/17.16  																																										| (789) all_0_82_82 = e3
% 47.91/17.16  																																										|
% 47.91/17.16  																																											| Combining equations (469,789) yields a new equation:
% 47.91/17.16  																																											| (790) e4 = e3
% 47.91/17.16  																																											|
% 47.91/17.16  																																											| Simplifying 790 yields:
% 47.91/17.16  																																											| (434) e4 = e3
% 47.91/17.16  																																											|
% 47.91/17.16  																																											| Equations (434) can reduce 177 to:
% 47.91/17.16  																																											| (311) $false
% 47.91/17.16  																																											|
% 47.91/17.16  																																											|-The branch is then unsatisfiable
% 47.91/17.16  																																										|-Branch two:
% 47.91/17.16  																																										| (793)  ~ (all_0_82_82 = e3)
% 47.91/17.16  																																										| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.91/17.16  																																										|
% 47.91/17.16  																																											+-Applying beta-rule and splitting (794), into two cases.
% 47.91/17.16  																																											|-Branch one:
% 47.91/17.16  																																											| (754) all_0_90_90 = e3
% 47.91/17.16  																																											|
% 47.91/17.16  																																												| Equations (754) can reduce 745 to:
% 47.91/17.16  																																												| (311) $false
% 47.91/17.16  																																												|
% 47.91/17.16  																																												|-The branch is then unsatisfiable
% 47.91/17.16  																																											|-Branch two:
% 47.91/17.16  																																											| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.16  																																											| (744) all_0_95_95 = e3
% 47.91/17.16  																																											|
% 47.91/17.16  																																												| Equations (744) can reduce 229 to:
% 47.91/17.16  																																												| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.16  																																												|
% 47.91/17.16  																																												+-Applying beta-rule and splitting (188), into two cases.
% 47.91/17.16  																																												|-Branch one:
% 47.91/17.16  																																												| (676) all_0_78_78 = e1
% 47.91/17.16  																																												|
% 47.91/17.16  																																													| Combining equations (676,400) yields a new equation:
% 47.91/17.16  																																													| (385) e2 = e1
% 47.91/17.16  																																													|
% 47.91/17.16  																																													| Equations (385) can reduce 243 to:
% 47.91/17.16  																																													| (311) $false
% 47.91/17.16  																																													|
% 47.91/17.16  																																													|-The branch is then unsatisfiable
% 47.91/17.16  																																												|-Branch two:
% 47.91/17.16  																																												| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.16  																																												| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.16  																																												|
% 47.91/17.16  																																													| Equations (400) can reduce 1601 to:
% 47.91/17.16  																																													| (243)  ~ (e2 = e1)
% 47.91/17.16  																																													|
% 47.91/17.16  																																													+-Applying beta-rule and splitting (1077), into two cases.
% 47.91/17.16  																																													|-Branch one:
% 47.91/17.16  																																													| (507) all_0_88_88 = e0
% 47.91/17.16  																																													|
% 47.91/17.16  																																														| Combining equations (370,507) yields a new equation:
% 47.91/17.16  																																														| (923) e2 = e0
% 47.91/17.16  																																														|
% 47.91/17.16  																																														| Simplifying 923 yields:
% 47.91/17.16  																																														| (379) e2 = e0
% 47.91/17.16  																																														|
% 47.91/17.16  																																														| Equations (379) can reduce 76 to:
% 47.91/17.16  																																														| (311) $false
% 47.91/17.16  																																														|
% 47.91/17.16  																																														|-The branch is then unsatisfiable
% 47.91/17.16  																																													|-Branch two:
% 47.91/17.16  																																													| (1110)  ~ (all_0_88_88 = e0)
% 47.91/17.16  																																													| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.91/17.16  																																													|
% 47.91/17.16  																																														+-Applying beta-rule and splitting (1718), into two cases.
% 47.91/17.16  																																														|-Branch one:
% 47.91/17.16  																																														| (384) all_0_86_86 = e1
% 47.91/17.16  																																														|
% 47.91/17.16  																																															| Combining equations (384,378) yields a new equation:
% 47.91/17.16  																																															| (1107) e1 = e0
% 47.91/17.16  																																															|
% 47.91/17.16  																																															| Simplifying 1107 yields:
% 47.91/17.16  																																															| (865) e1 = e0
% 47.91/17.16  																																															|
% 47.91/17.16  																																															| Equations (865) can reduce 264 to:
% 47.91/17.16  																																															| (311) $false
% 47.91/17.16  																																															|
% 47.91/17.16  																																															|-The branch is then unsatisfiable
% 47.91/17.16  																																														|-Branch two:
% 47.91/17.16  																																														| (387)  ~ (all_0_86_86 = e1)
% 47.91/17.16  																																														| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.16  																																														|
% 47.91/17.16  																																															+-Applying beta-rule and splitting (476), into two cases.
% 47.91/17.16  																																															|-Branch one:
% 47.91/17.16  																																															| (477) all_0_81_81 = e1
% 47.91/17.16  																																															|
% 47.91/17.16  																																																| Equations (477) can reduce 420 to:
% 47.91/17.16  																																																| (683)  ~ (e3 = e1)
% 47.91/17.16  																																																|
% 47.91/17.16  																																																| Simplifying 683 yields:
% 47.91/17.16  																																																| (20)  ~ (e3 = e1)
% 47.91/17.16  																																																|
% 47.91/17.16  																																																+-Applying beta-rule and splitting (2122), into two cases.
% 47.91/17.16  																																																|-Branch one:
% 47.91/17.16  																																																| (750) all_0_90_90 = e1
% 47.91/17.16  																																																|
% 47.91/17.16  																																																	| Equations (750) can reduce 103 to:
% 47.91/17.16  																																																	| (1669)  ~ (all_0_91_91 = e1)
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																	| Simplifying 1669 yields:
% 47.91/17.16  																																																	| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																	| Equations (750) can reduce 745 to:
% 47.91/17.16  																																																	| (683)  ~ (e3 = e1)
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																	| Simplifying 683 yields:
% 47.91/17.16  																																																	| (20)  ~ (e3 = e1)
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																	+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.16  																																																	|-Branch one:
% 47.91/17.16  																																																	| (457) all_0_79_79 = e1
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																		| Combining equations (457,1708) yields a new equation:
% 47.91/17.16  																																																		| (772) e3 = e1
% 47.91/17.16  																																																		|
% 47.91/17.16  																																																		| Equations (772) can reduce 20 to:
% 47.91/17.16  																																																		| (311) $false
% 47.91/17.16  																																																		|
% 47.91/17.16  																																																		|-The branch is then unsatisfiable
% 47.91/17.16  																																																	|-Branch two:
% 47.91/17.16  																																																	| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.16  																																																	| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.16  																																																	|
% 47.91/17.16  																																																		+-Applying beta-rule and splitting (462), into two cases.
% 47.91/17.16  																																																		|-Branch one:
% 47.91/17.16  																																																		| (801) all_0_91_91 = e1
% 47.91/17.16  																																																		|
% 47.91/17.16  																																																			| Equations (801) can reduce 959 to:
% 47.91/17.16  																																																			| (311) $false
% 47.91/17.16  																																																			|
% 47.91/17.16  																																																			|-The branch is then unsatisfiable
% 47.91/17.16  																																																		|-Branch two:
% 47.91/17.16  																																																		| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.16  																																																		| (960) all_0_96_96 = e1
% 47.91/17.16  																																																		|
% 47.91/17.16  																																																			| Equations (960) can reduce 64 to:
% 47.91/17.16  																																																			| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.16  																																																			|
% 47.91/17.16  																																																			+-Applying beta-rule and splitting (284), into two cases.
% 47.91/17.16  																																																			|-Branch one:
% 47.91/17.16  																																																			| (1723) all_0_91_91 = e2
% 47.91/17.16  																																																			|
% 47.91/17.16  																																																				| Equations (1723) can reduce 296 to:
% 47.91/17.16  																																																				| (311) $false
% 47.91/17.16  																																																				|
% 47.91/17.16  																																																				|-The branch is then unsatisfiable
% 47.91/17.16  																																																			|-Branch two:
% 47.91/17.16  																																																			| (296)  ~ (all_0_91_91 = e2)
% 47.91/17.16  																																																			| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.91/17.16  																																																			|
% 47.91/17.16  																																																				+-Applying beta-rule and splitting (1111), into two cases.
% 47.91/17.16  																																																				|-Branch one:
% 47.91/17.17  																																																				| (604) all_0_93_93 = e0
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																					| Equations (604) can reduce 44 to:
% 47.91/17.17  																																																					| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					+-Applying beta-rule and splitting (1726), into two cases.
% 47.91/17.17  																																																					|-Branch one:
% 47.91/17.17  																																																					| (801) all_0_91_91 = e1
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																						| Equations (801) can reduce 959 to:
% 47.91/17.17  																																																						| (311) $false
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																						|-The branch is then unsatisfiable
% 47.91/17.17  																																																					|-Branch two:
% 47.91/17.17  																																																					| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.17  																																																					| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																						+-Applying beta-rule and splitting (1880), into two cases.
% 47.91/17.17  																																																						|-Branch one:
% 47.91/17.17  																																																						| (588) all_0_91_91 = e3
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																							| Equations (588) can reduce 571 to:
% 47.91/17.17  																																																							| (311) $false
% 47.91/17.17  																																																							|
% 47.91/17.17  																																																							|-The branch is then unsatisfiable
% 47.91/17.17  																																																						|-Branch two:
% 47.91/17.17  																																																						| (571)  ~ (all_0_91_91 = e3)
% 47.91/17.17  																																																						| (1456) all_0_91_91 = e0
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																							| Equations (1456) can reduce 1487 to:
% 47.91/17.17  																																																							| (311) $false
% 47.91/17.17  																																																							|
% 47.91/17.17  																																																							|-The branch is then unsatisfiable
% 47.91/17.17  																																																				|-Branch two:
% 47.91/17.17  																																																				| (509)  ~ (all_0_93_93 = e0)
% 47.91/17.17  																																																				| (1121) all_0_98_98 = e0
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																					| Combining equations (2650,1121) yields a new equation:
% 47.91/17.17  																																																					| (911) e4 = e0
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					| Simplifying 911 yields:
% 47.91/17.17  																																																					| (912) e4 = e0
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					| Equations (912) can reduce 23 to:
% 47.91/17.17  																																																					| (311) $false
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					|-The branch is then unsatisfiable
% 47.91/17.17  																																																|-Branch two:
% 47.91/17.17  																																																| (678)  ~ (all_0_90_90 = e1)
% 47.91/17.17  																																																| (785) all_0_95_95 = e1
% 47.91/17.17  																																																|
% 47.91/17.17  																																																	| Combining equations (744,785) yields a new equation:
% 47.91/17.17  																																																	| (825) e3 = e1
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																	| Simplifying 825 yields:
% 47.91/17.17  																																																	| (772) e3 = e1
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																	| Equations (772) can reduce 20 to:
% 47.91/17.17  																																																	| (311) $false
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																	|-The branch is then unsatisfiable
% 47.91/17.17  																																															|-Branch two:
% 47.91/17.17  																																															| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.17  																																															| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.91/17.17  																																															|
% 47.91/17.17  																																																+-Applying beta-rule and splitting (108), into two cases.
% 47.91/17.17  																																																|-Branch one:
% 47.91/17.17  																																																| (477) all_0_81_81 = e1
% 47.91/17.17  																																																|
% 47.91/17.17  																																																	| Equations (477) can reduce 628 to:
% 47.91/17.17  																																																	| (311) $false
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																	|-The branch is then unsatisfiable
% 47.91/17.17  																																																|-Branch two:
% 47.91/17.17  																																																| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.17  																																																| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.17  																																																|
% 47.91/17.17  																																																	+-Applying beta-rule and splitting (817), into two cases.
% 47.91/17.17  																																																	|-Branch one:
% 47.91/17.17  																																																	| (504) all_0_88_88 = e1
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																		| Combining equations (370,504) yields a new equation:
% 47.91/17.17  																																																		| (408) e2 = e1
% 47.91/17.17  																																																		|
% 47.91/17.17  																																																		| Simplifying 408 yields:
% 47.91/17.17  																																																		| (385) e2 = e1
% 47.91/17.17  																																																		|
% 47.91/17.17  																																																		| Equations (385) can reduce 243 to:
% 47.91/17.17  																																																		| (311) $false
% 47.91/17.17  																																																		|
% 47.91/17.17  																																																		|-The branch is then unsatisfiable
% 47.91/17.17  																																																	|-Branch two:
% 47.91/17.17  																																																	| (479)  ~ (all_0_88_88 = e1)
% 47.91/17.17  																																																	| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.17  																																																	|
% 47.91/17.17  																																																		+-Applying beta-rule and splitting (897), into two cases.
% 47.91/17.17  																																																		|-Branch one:
% 47.91/17.17  																																																		| (566) all_0_93_93 = e1
% 47.91/17.17  																																																		|
% 47.91/17.17  																																																			| Equations (566) can reduce 277 to:
% 47.91/17.17  																																																			| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			| Equations (566) can reduce 496 to:
% 47.91/17.17  																																																			| (681)  ~ (e4 = e1)
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			| Simplifying 681 yields:
% 47.91/17.17  																																																			| (256)  ~ (e4 = e1)
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			| Equations (566) can reduce 602 to:
% 47.91/17.17  																																																			| (683)  ~ (e3 = e1)
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			| Simplifying 683 yields:
% 47.91/17.17  																																																			| (20)  ~ (e3 = e1)
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.17  																																																			|-Branch one:
% 47.91/17.17  																																																			| (457) all_0_79_79 = e1
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																				| Combining equations (1708,457) yields a new equation:
% 47.91/17.17  																																																				| (825) e3 = e1
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																				| Simplifying 825 yields:
% 47.91/17.17  																																																				| (772) e3 = e1
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																				| Equations (772) can reduce 20 to:
% 47.91/17.17  																																																				| (311) $false
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																				|-The branch is then unsatisfiable
% 47.91/17.17  																																																			|-Branch two:
% 47.91/17.17  																																																			| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.17  																																																			| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																				| Equations (1708) can reduce 461 to:
% 47.91/17.17  																																																				| (20)  ~ (e3 = e1)
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																				+-Applying beta-rule and splitting (1602), into two cases.
% 47.91/17.17  																																																				|-Branch one:
% 47.91/17.17  																																																				| (457) all_0_79_79 = e1
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																					| Combining equations (1708,457) yields a new equation:
% 47.91/17.17  																																																					| (825) e3 = e1
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					| Simplifying 825 yields:
% 47.91/17.17  																																																					| (772) e3 = e1
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					| Equations (772) can reduce 20 to:
% 47.91/17.17  																																																					| (311) $false
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																					|-The branch is then unsatisfiable
% 47.91/17.17  																																																				|-Branch two:
% 47.91/17.17  																																																				| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.17  																																																				| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 47.91/17.17  																																																				|
% 47.91/17.17  																																																					+-Applying beta-rule and splitting (8180), into two cases.
% 47.91/17.17  																																																					|-Branch one:
% 47.91/17.17  																																																					| (824) all_0_80_80 = e1
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																						| Combining equations (433,824) yields a new equation:
% 47.91/17.17  																																																						| (813) e4 = e1
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																						| Simplifying 813 yields:
% 47.91/17.17  																																																						| (814) e4 = e1
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																						| Equations (814) can reduce 256 to:
% 47.91/17.17  																																																						| (311) $false
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																						|-The branch is then unsatisfiable
% 47.91/17.17  																																																					|-Branch two:
% 47.91/17.17  																																																					| (828)  ~ (all_0_80_80 = e1)
% 47.91/17.17  																																																					| (477) all_0_81_81 = e1
% 47.91/17.17  																																																					|
% 47.91/17.17  																																																						| Equations (477) can reduce 628 to:
% 47.91/17.17  																																																						| (311) $false
% 47.91/17.17  																																																						|
% 47.91/17.17  																																																						|-The branch is then unsatisfiable
% 47.91/17.17  																																																		|-Branch two:
% 47.91/17.17  																																																		| (481)  ~ (all_0_93_93 = e1)
% 47.91/17.17  																																																		| (1543) all_0_98_98 = e1
% 47.91/17.17  																																																		|
% 47.91/17.17  																																																			| Combining equations (1543,2650) yields a new equation:
% 47.91/17.17  																																																			| (814) e4 = e1
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			| Equations (814) can reduce 256 to:
% 47.91/17.17  																																																			| (311) $false
% 47.91/17.17  																																																			|
% 47.91/17.17  																																																			|-The branch is then unsatisfiable
% 47.91/17.17  																																							|-Branch two:
% 47.91/17.17  																																							| (1711)  ~ (all_0_79_79 = e3)
% 47.91/17.17  																																							| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.91/17.17  																																							|
% 47.91/17.17  																																								+-Applying beta-rule and splitting (1768), into two cases.
% 47.91/17.17  																																								|-Branch one:
% 47.91/17.17  																																								| (416) all_0_80_80 = e3
% 47.91/17.17  																																								|
% 47.91/17.17  																																									| Combining equations (433,416) yields a new equation:
% 47.91/17.17  																																									| (790) e4 = e3
% 47.91/17.17  																																									|
% 47.91/17.17  																																									| Simplifying 790 yields:
% 47.91/17.17  																																									| (434) e4 = e3
% 47.91/17.17  																																									|
% 47.91/17.17  																																									| Equations (434) can reduce 177 to:
% 47.91/17.17  																																									| (311) $false
% 47.91/17.17  																																									|
% 47.91/17.17  																																									|-The branch is then unsatisfiable
% 47.91/17.17  																																								|-Branch two:
% 47.91/17.17  																																								| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.17  																																								| (635) all_0_81_81 = e3
% 47.91/17.17  																																								|
% 47.91/17.17  																																									| Equations (635) can reduce 420 to:
% 47.91/17.17  																																									| (311) $false
% 47.91/17.17  																																									|
% 47.91/17.17  																																									|-The branch is then unsatisfiable
% 47.91/17.17  																														|-Branch two:
% 47.91/17.17  																														| (585) all_0_62_62 = e3 &  ~ (all_0_63_63 = e1)
% 47.91/17.17  																														|
% 47.91/17.17  																															| Applying alpha-rule on (585) yields:
% 47.91/17.17  																															| (586) all_0_62_62 = e3
% 47.91/17.17  																															| (587)  ~ (all_0_63_63 = e1)
% 47.91/17.17  																															|
% 47.91/17.17  																															| Combining equations (1367,586) yields a new equation:
% 47.91/17.17  																															| (1468) all_0_93_93 = e3
% 47.91/17.17  																															|
% 47.91/17.17  																															| Simplifying 1468 yields:
% 47.91/17.17  																															| (570) all_0_93_93 = e3
% 47.91/17.17  																															|
% 47.91/17.17  																															| Equations (570) can reduce 602 to:
% 47.91/17.17  																															| (311) $false
% 47.91/17.17  																															|
% 47.91/17.17  																															|-The branch is then unsatisfiable
% 47.91/17.17  																													|-Branch two:
% 47.91/17.17  																													| (590) all_0_64_64 = e2 &  ~ (all_0_65_65 = e1)
% 47.91/17.17  																													|
% 47.91/17.17  																														| Applying alpha-rule on (590) yields:
% 47.91/17.17  																														| (591) all_0_64_64 = e2
% 47.91/17.17  																														| (592)  ~ (all_0_65_65 = e1)
% 47.91/17.17  																														|
% 47.91/17.17  																														| Equations (6145) can reduce 592 to:
% 47.91/17.17  																														| (311) $false
% 47.91/17.17  																														|
% 47.91/17.17  																														|-The branch is then unsatisfiable
% 47.91/17.17  																												|-Branch two:
% 47.91/17.17  																												| (596) all_0_67_67 = e0 &  ~ (all_0_68_68 = e1)
% 47.91/17.17  																												|
% 47.91/17.17  																													| Applying alpha-rule on (596) yields:
% 47.91/17.17  																													| (597) all_0_67_67 = e0
% 47.91/17.17  																													| (598)  ~ (all_0_68_68 = e1)
% 47.91/17.17  																													|
% 47.91/17.17  																													| From (597) and (252) follows:
% 47.91/17.17  																													| (8666) op(e1, all_0_97_97) = e0
% 47.91/17.17  																													|
% 47.91/17.17  																													+-Applying beta-rule and splitting (207), into two cases.
% 47.91/17.17  																													|-Branch one:
% 47.91/17.17  																													| (416) all_0_80_80 = e3
% 47.91/17.17  																													|
% 47.91/17.17  																														| Equations (416) can reduce 144 to:
% 47.91/17.17  																														| (419)  ~ (all_0_81_81 = e3)
% 47.91/17.17  																														|
% 47.91/17.17  																														| Simplifying 419 yields:
% 47.91/17.17  																														| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.17  																														|
% 47.91/17.17  																														+-Applying beta-rule and splitting (641), into two cases.
% 47.91/17.17  																														|-Branch one:
% 47.91/17.17  																														| (433) all_0_80_80 = e4
% 47.91/17.17  																														|
% 47.91/17.17  																															| Combining equations (416,433) yields a new equation:
% 47.91/17.17  																															| (434) e4 = e3
% 47.91/17.17  																															|
% 47.91/17.17  																															| Equations (434) can reduce 177 to:
% 47.91/17.17  																															| (311) $false
% 47.91/17.17  																															|
% 47.91/17.17  																															|-The branch is then unsatisfiable
% 47.91/17.17  																														|-Branch two:
% 47.91/17.17  																														| (436)  ~ (all_0_80_80 = e4)
% 47.91/17.17  																														| (638) all_0_81_81 = e4
% 47.91/17.17  																														|
% 47.91/17.17  																															| Equations (638) can reduce 420 to:
% 47.91/17.17  																															| (177)  ~ (e4 = e3)
% 47.91/17.17  																															|
% 47.91/17.17  																															| Equations (638) can reduce 396 to:
% 47.91/17.17  																															| (79)  ~ (e4 = e2)
% 47.91/17.17  																															|
% 47.91/17.17  																															| Equations (638) can reduce 257 to:
% 47.91/17.17  																															| (23)  ~ (e4 = e0)
% 47.91/17.17  																															|
% 47.91/17.17  																															+-Applying beta-rule and splitting (140), into two cases.
% 47.91/17.17  																															|-Branch one:
% 47.91/17.17  																															| (313) all_0_94_94 = e4
% 47.91/17.17  																															|
% 47.91/17.17  																																| Combining equations (1757,313) yields a new equation:
% 47.91/17.17  																																| (310) e4 = e2
% 47.91/17.17  																																|
% 47.91/17.17  																																| Equations (310) can reduce 79 to:
% 47.91/17.17  																																| (311) $false
% 47.91/17.17  																																|
% 47.91/17.17  																																|-The branch is then unsatisfiable
% 47.91/17.17  																															|-Branch two:
% 47.91/17.17  																															| (34849)  ~ (all_0_94_94 = e4)
% 47.91/17.17  																															| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.91/17.17  																															|
% 47.91/17.18  																																| Equations (1757) can reduce 34849 to:
% 47.91/17.18  																																| (528)  ~ (e4 = e2)
% 47.91/17.18  																																|
% 47.91/17.18  																																| Simplifying 528 yields:
% 47.91/17.18  																																| (79)  ~ (e4 = e2)
% 47.91/17.18  																																|
% 47.91/17.18  																																+-Applying beta-rule and splitting (210), into two cases.
% 47.91/17.18  																																|-Branch one:
% 47.91/17.18  																																| (433) all_0_80_80 = e4
% 47.91/17.18  																																|
% 47.91/17.18  																																	| Combining equations (416,433) yields a new equation:
% 47.91/17.18  																																	| (434) e4 = e3
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Equations (434) can reduce 177 to:
% 47.91/17.18  																																	| (311) $false
% 47.91/17.18  																																	|
% 47.91/17.18  																																	|-The branch is then unsatisfiable
% 47.91/17.18  																																|-Branch two:
% 47.91/17.18  																																| (436)  ~ (all_0_80_80 = e4)
% 47.91/17.18  																																| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 47.91/17.18  																																|
% 47.91/17.18  																																	+-Applying beta-rule and splitting (437), into two cases.
% 47.91/17.18  																																	|-Branch one:
% 47.91/17.18  																																	| (438) all_0_84_84 = e4
% 47.91/17.18  																																	|
% 47.91/17.18  																																		| Combining equations (438,916) yields a new equation:
% 47.91/17.18  																																		| (911) e4 = e0
% 47.91/17.18  																																		|
% 47.91/17.18  																																		| Simplifying 911 yields:
% 47.91/17.18  																																		| (912) e4 = e0
% 47.91/17.18  																																		|
% 47.91/17.18  																																		| Equations (912) can reduce 23 to:
% 47.91/17.18  																																		| (311) $false
% 47.91/17.18  																																		|
% 47.91/17.18  																																		|-The branch is then unsatisfiable
% 47.91/17.18  																																	|-Branch two:
% 47.91/17.18  																																	| (417)  ~ (all_0_84_84 = e4)
% 47.91/17.18  																																	| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 47.91/17.18  																																	|
% 47.91/17.18  																																		+-Applying beta-rule and splitting (441), into two cases.
% 47.91/17.18  																																		|-Branch one:
% 47.91/17.18  																																		| (442) all_0_92_92 = e4
% 47.91/17.18  																																		|
% 47.91/17.18  																																			| Combining equations (442,1343) yields a new equation:
% 47.91/17.18  																																			| (309) e4 = e2
% 47.91/17.18  																																			|
% 47.91/17.18  																																			| Simplifying 309 yields:
% 47.91/17.18  																																			| (310) e4 = e2
% 47.91/17.18  																																			|
% 47.91/17.18  																																			| Equations (310) can reduce 79 to:
% 47.91/17.18  																																			| (311) $false
% 47.91/17.18  																																			|
% 47.91/17.18  																																			|-The branch is then unsatisfiable
% 47.91/17.18  																																		|-Branch two:
% 47.91/17.18  																																		| (1619)  ~ (all_0_92_92 = e4)
% 47.91/17.18  																																		| (610) all_0_97_97 = e4
% 47.91/17.18  																																		|
% 47.91/17.18  																																			| Equations (610) can reduce 609 to:
% 47.91/17.18  																																			| (23)  ~ (e4 = e0)
% 47.91/17.18  																																			|
% 47.91/17.18  																																			| From (610) and (8666) follows:
% 47.91/17.18  																																			| (46170) op(e1, e4) = e0
% 47.91/17.18  																																			|
% 47.91/17.18  																																			| Instantiating formula (262) with e1, e4, e0, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields:
% 47.91/17.18  																																			| (912) e4 = e0
% 47.91/17.18  																																			|
% 47.91/17.18  																																			| Equations (912) can reduce 23 to:
% 47.91/17.18  																																			| (311) $false
% 47.91/17.18  																																			|
% 47.91/17.18  																																			|-The branch is then unsatisfiable
% 47.91/17.18  																													|-Branch two:
% 47.91/17.18  																													| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.18  																													| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 47.91/17.18  																													|
% 47.91/17.18  																														+-Applying beta-rule and splitting (45), into two cases.
% 47.91/17.18  																														|-Branch one:
% 47.91/17.18  																														| (546) all_0_80_80 = e2
% 47.91/17.18  																														|
% 47.91/17.18  																															| Equations (546) can reduce 394 to:
% 47.91/17.18  																															| (311) $false
% 47.91/17.18  																															|
% 47.91/17.18  																															|-The branch is then unsatisfiable
% 47.91/17.18  																														|-Branch two:
% 47.91/17.18  																														| (394)  ~ (all_0_80_80 = e2)
% 47.91/17.18  																														| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 47.91/17.18  																														|
% 47.91/17.18  																															+-Applying beta-rule and splitting (3232), into two cases.
% 47.91/17.18  																															|-Branch one:
% 47.91/17.18  																															| (824) all_0_80_80 = e1
% 47.91/17.18  																															|
% 47.91/17.18  																																| Equations (824) can reduce 828 to:
% 47.91/17.18  																																| (311) $false
% 47.91/17.18  																																|
% 47.91/17.18  																																|-The branch is then unsatisfiable
% 47.91/17.18  																															|-Branch two:
% 47.91/17.18  																															| (828)  ~ (all_0_80_80 = e1)
% 47.91/17.18  																															| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 47.91/17.18  																															|
% 47.91/17.18  																																+-Applying beta-rule and splitting (4018), into two cases.
% 47.91/17.18  																																|-Branch one:
% 47.91/17.18  																																| (416) all_0_80_80 = e3
% 47.91/17.18  																																|
% 47.91/17.18  																																	| Equations (416) can reduce 2347 to:
% 47.91/17.18  																																	| (311) $false
% 47.91/17.18  																																	|
% 47.91/17.18  																																	|-The branch is then unsatisfiable
% 47.91/17.18  																																|-Branch two:
% 47.91/17.18  																																| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.18  																																| (433) all_0_80_80 = e4
% 47.91/17.18  																																|
% 47.91/17.18  																																	| Equations (433) can reduce 63 to:
% 47.91/17.18  																																	| (235)  ~ (all_0_79_79 = e4)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Equations (433) can reduce 202 to:
% 47.91/17.18  																																	| (318)  ~ (all_0_97_97 = e4)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Simplifying 318 yields:
% 47.91/17.18  																																	| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Equations (433) can reduce 394 to:
% 47.91/17.18  																																	| (79)  ~ (e4 = e2)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Equations (433) can reduce 828 to:
% 47.91/17.18  																																	| (256)  ~ (e4 = e1)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	| Equations (433) can reduce 166 to:
% 47.91/17.18  																																	| (23)  ~ (e4 = e0)
% 47.91/17.18  																																	|
% 47.91/17.18  																																	+-Applying beta-rule and splitting (140), into two cases.
% 47.91/17.18  																																	|-Branch one:
% 47.91/17.18  																																	| (313) all_0_94_94 = e4
% 47.91/17.18  																																	|
% 47.91/17.18  																																		| Combining equations (1757,313) yields a new equation:
% 47.91/17.18  																																		| (310) e4 = e2
% 47.91/17.18  																																		|
% 47.91/17.18  																																		| Equations (310) can reduce 79 to:
% 47.91/17.18  																																		| (311) $false
% 47.91/17.18  																																		|
% 47.91/17.18  																																		|-The branch is then unsatisfiable
% 47.91/17.18  																																	|-Branch two:
% 47.91/17.18  																																	| (34849)  ~ (all_0_94_94 = e4)
% 47.91/17.18  																																	| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 47.91/17.18  																																	|
% 47.91/17.18  																																		+-Applying beta-rule and splitting (123), into two cases.
% 47.91/17.18  																																		|-Branch one:
% 47.91/17.18  																																		| (473) all_0_81_81 = e2
% 47.91/17.18  																																		|
% 47.91/17.18  																																			| Equations (473) can reduce 396 to:
% 47.91/17.18  																																			| (311) $false
% 47.91/17.18  																																			|
% 47.91/17.18  																																			|-The branch is then unsatisfiable
% 47.91/17.18  																																		|-Branch two:
% 47.91/17.18  																																		| (396)  ~ (all_0_81_81 = e2)
% 47.91/17.18  																																		| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 47.91/17.18  																																		|
% 47.91/17.18  																																			+-Applying beta-rule and splitting (34850), into two cases.
% 47.91/17.18  																																			|-Branch one:
% 47.91/17.18  																																			| (894) all_0_95_95 = e4
% 47.91/17.18  																																			|
% 47.91/17.18  																																				| Equations (894) can reduce 315 to:
% 47.91/17.18  																																				| (311) $false
% 47.91/17.18  																																				|
% 47.91/17.18  																																				|-The branch is then unsatisfiable
% 47.91/17.18  																																			|-Branch two:
% 47.91/17.18  																																			| (315)  ~ (all_0_95_95 = e4)
% 47.91/17.18  																																			| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 47.91/17.18  																																			|
% 47.91/17.18  																																				+-Applying beta-rule and splitting (34882), into two cases.
% 47.91/17.18  																																				|-Branch one:
% 47.91/17.18  																																				| (610) all_0_97_97 = e4
% 47.91/17.18  																																				|
% 47.91/17.18  																																					| Equations (610) can reduce 319 to:
% 47.91/17.18  																																					| (311) $false
% 47.91/17.18  																																					|
% 47.91/17.18  																																					|-The branch is then unsatisfiable
% 47.91/17.18  																																				|-Branch two:
% 47.91/17.18  																																				| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.18  																																				| (2650) all_0_98_98 = e4
% 47.91/17.18  																																				|
% 47.91/17.18  																																					| Equations (2650) can reduce 5 to:
% 47.91/17.18  																																					| (634)  ~ (all_0_81_81 = e4)
% 47.91/17.18  																																					|
% 47.91/17.18  																																					| Equations (2650) can reduce 13 to:
% 47.91/17.18  																																					| (496)  ~ (all_0_93_93 = e4)
% 47.91/17.18  																																					|
% 47.91/17.18  																																					| Equations (2650) can reduce 1519 to:
% 47.91/17.18  																																					| (177)  ~ (e4 = e3)
% 47.91/17.18  																																					|
% 47.91/17.18  																																					+-Applying beta-rule and splitting (1756), into two cases.
% 47.91/17.18  																																					|-Branch one:
% 47.91/17.18  																																					| (1708) all_0_79_79 = e3
% 47.91/17.18  																																					|
% 47.91/17.18  																																						| Equations (1708) can reduce 15 to:
% 47.91/17.18  																																						| (419)  ~ (all_0_81_81 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Simplifying 419 yields:
% 47.91/17.18  																																						| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Equations (1708) can reduce 17 to:
% 47.91/17.18  																																						| (1298)  ~ (all_0_91_91 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Simplifying 1298 yields:
% 47.91/17.18  																																						| (571)  ~ (all_0_91_91 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Equations (1708) can reduce 214 to:
% 47.91/17.18  																																						| (1300)  ~ (all_0_96_96 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Simplifying 1300 yields:
% 47.91/17.18  																																						| (964)  ~ (all_0_96_96 = e3)
% 47.91/17.18  																																						|
% 47.91/17.18  																																						| Equations (1708) can reduce 235 to:
% 47.91/17.19  																																						| (783)  ~ (e4 = e3)
% 47.91/17.19  																																						|
% 47.91/17.19  																																						| Simplifying 783 yields:
% 47.91/17.19  																																						| (177)  ~ (e4 = e3)
% 47.91/17.19  																																						|
% 47.91/17.19  																																						| Equations (1708) can reduce 1622 to:
% 47.91/17.19  																																						| (169)  ~ (e3 = e2)
% 47.91/17.19  																																						|
% 47.91/17.19  																																						+-Applying beta-rule and splitting (282), into two cases.
% 47.91/17.19  																																						|-Branch one:
% 47.91/17.19  																																						| (754) all_0_90_90 = e3
% 47.91/17.19  																																						|
% 47.91/17.19  																																							| Equations (754) can reduce 34 to:
% 47.91/17.19  																																							| (807)  ~ (all_0_93_93 = e3)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| Simplifying 807 yields:
% 47.91/17.19  																																							| (602)  ~ (all_0_93_93 = e3)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| Equations (754) can reduce 229 to:
% 47.91/17.19  																																							| (1070)  ~ (all_0_95_95 = e3)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| Simplifying 1070 yields:
% 47.91/17.19  																																							| (765)  ~ (all_0_95_95 = e3)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| Equations (754) can reduce 294 to:
% 47.91/17.19  																																							| (169)  ~ (e3 = e2)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| Equations (754) can reduce 762 to:
% 47.91/17.19  																																							| (50)  ~ (e3 = e0)
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| From (754) and (35) follows:
% 47.91/17.19  																																							| (29720) op(e1, e3) = all_0_49_49
% 47.91/17.19  																																							|
% 47.91/17.19  																																							| From (754) and (218) follows:
% 47.91/17.19  																																							| (4744) op(e1, e3) = e3
% 47.91/17.19  																																							|
% 47.91/17.19  																																							+-Applying beta-rule and splitting (188), into two cases.
% 47.91/17.19  																																							|-Branch one:
% 47.91/17.19  																																							| (676) all_0_78_78 = e1
% 47.91/17.19  																																							|
% 47.91/17.19  																																								| Combining equations (676,400) yields a new equation:
% 47.91/17.19  																																								| (385) e2 = e1
% 47.91/17.19  																																								|
% 47.91/17.19  																																								| Equations (385) can reduce 243 to:
% 47.91/17.19  																																								| (311) $false
% 47.91/17.19  																																								|
% 47.91/17.19  																																								|-The branch is then unsatisfiable
% 47.91/17.19  																																							|-Branch two:
% 47.91/17.19  																																							| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.19  																																							| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.19  																																							|
% 47.91/17.19  																																								+-Applying beta-rule and splitting (1718), into two cases.
% 47.91/17.19  																																								|-Branch one:
% 47.91/17.19  																																								| (384) all_0_86_86 = e1
% 47.91/17.19  																																								|
% 47.91/17.19  																																									| Combining equations (384,378) yields a new equation:
% 47.91/17.19  																																									| (1107) e1 = e0
% 47.91/17.19  																																									|
% 47.91/17.19  																																									| Simplifying 1107 yields:
% 47.91/17.19  																																									| (865) e1 = e0
% 47.91/17.19  																																									|
% 47.91/17.19  																																									| Equations (865) can reduce 264 to:
% 47.91/17.19  																																									| (311) $false
% 47.91/17.19  																																									|
% 47.91/17.19  																																									|-The branch is then unsatisfiable
% 47.91/17.19  																																								|-Branch two:
% 47.91/17.19  																																								| (387)  ~ (all_0_86_86 = e1)
% 47.91/17.19  																																								| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.19  																																								|
% 47.91/17.19  																																									+-Applying beta-rule and splitting (2122), into two cases.
% 47.91/17.19  																																									|-Branch one:
% 47.91/17.19  																																									| (750) all_0_90_90 = e1
% 47.91/17.19  																																									|
% 47.91/17.19  																																										| Combining equations (750,754) yields a new equation:
% 47.91/17.19  																																										| (772) e3 = e1
% 47.91/17.19  																																										|
% 47.91/17.19  																																										| Equations (772) can reduce 20 to:
% 47.91/17.19  																																										| (311) $false
% 47.91/17.19  																																										|
% 47.91/17.19  																																										|-The branch is then unsatisfiable
% 47.91/17.19  																																									|-Branch two:
% 47.91/17.19  																																									| (678)  ~ (all_0_90_90 = e1)
% 47.91/17.19  																																									| (785) all_0_95_95 = e1
% 47.91/17.19  																																									|
% 47.91/17.19  																																										| Equations (785) can reduce 279 to:
% 47.91/17.19  																																										| (1671)  ~ (all_0_96_96 = e1)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										| Simplifying 1671 yields:
% 47.91/17.19  																																										| (1479)  ~ (all_0_96_96 = e1)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										| Equations (785) can reduce 765 to:
% 47.91/17.19  																																										| (683)  ~ (e3 = e1)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										| Simplifying 683 yields:
% 47.91/17.19  																																										| (20)  ~ (e3 = e1)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										| Equations (785) can reduce 893 to:
% 47.91/17.19  																																										| (264)  ~ (e1 = e0)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.19  																																										|-Branch one:
% 47.91/17.19  																																										| (457) all_0_79_79 = e1
% 47.91/17.19  																																										|
% 47.91/17.19  																																											| Combining equations (1708,457) yields a new equation:
% 47.91/17.19  																																											| (825) e3 = e1
% 47.91/17.19  																																											|
% 47.91/17.19  																																											| Simplifying 825 yields:
% 47.91/17.19  																																											| (772) e3 = e1
% 47.91/17.19  																																											|
% 47.91/17.19  																																											| Equations (772) can reduce 20 to:
% 47.91/17.19  																																											| (311) $false
% 47.91/17.19  																																											|
% 47.91/17.19  																																											|-The branch is then unsatisfiable
% 47.91/17.19  																																										|-Branch two:
% 47.91/17.19  																																										| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.19  																																										| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.19  																																										|
% 47.91/17.19  																																											+-Applying beta-rule and splitting (462), into two cases.
% 47.91/17.19  																																											|-Branch one:
% 47.91/17.19  																																											| (801) all_0_91_91 = e1
% 47.91/17.19  																																											|
% 47.91/17.19  																																												+-Applying beta-rule and splitting (291), into two cases.
% 47.91/17.19  																																												|-Branch one:
% 47.91/17.19  																																												| (758) all_0_90_90 = e0
% 47.91/17.19  																																												|
% 47.91/17.19  																																													| Combining equations (754,758) yields a new equation:
% 47.91/17.19  																																													| (599) e3 = e0
% 47.91/17.19  																																													|
% 47.91/17.19  																																													| Simplifying 599 yields:
% 47.91/17.19  																																													| (600) e3 = e0
% 47.91/17.19  																																													|
% 47.91/17.19  																																													| Equations (600) can reduce 50 to:
% 47.91/17.19  																																													| (311) $false
% 47.91/17.19  																																													|
% 47.91/17.19  																																													|-The branch is then unsatisfiable
% 47.91/17.19  																																												|-Branch two:
% 47.91/17.19  																																												| (762)  ~ (all_0_90_90 = e0)
% 47.91/17.19  																																												| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 47.91/17.19  																																												|
% 47.91/17.19  																																													+-Applying beta-rule and splitting (84), into two cases.
% 47.91/17.19  																																													|-Branch one:
% 47.91/17.19  																																													| (1704) all_0_96_96 = e2
% 47.91/17.19  																																													|
% 47.91/17.19  																																														| Equations (1704) can reduce 1638 to:
% 47.91/17.19  																																														| (311) $false
% 47.91/17.19  																																														|
% 47.91/17.19  																																														|-The branch is then unsatisfiable
% 47.91/17.19  																																													|-Branch two:
% 47.91/17.19  																																													| (1638)  ~ (all_0_96_96 = e2)
% 47.91/17.19  																																													| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 47.91/17.19  																																													|
% 47.91/17.19  																																														+-Applying beta-rule and splitting (1400), into two cases.
% 47.91/17.19  																																														|-Branch one:
% 47.91/17.19  																																														| (1456) all_0_91_91 = e0
% 47.91/17.19  																																														|
% 47.91/17.19  																																															| Combining equations (801,1456) yields a new equation:
% 47.91/17.19  																																															| (1107) e1 = e0
% 47.91/17.19  																																															|
% 47.91/17.19  																																															| Simplifying 1107 yields:
% 47.91/17.19  																																															| (865) e1 = e0
% 47.91/17.19  																																															|
% 47.91/17.19  																																															| Equations (865) can reduce 264 to:
% 47.91/17.19  																																															| (311) $false
% 47.91/17.19  																																															|
% 47.91/17.19  																																															|-The branch is then unsatisfiable
% 47.91/17.19  																																														|-Branch two:
% 47.91/17.19  																																														| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.19  																																														| (1837) all_0_96_96 = e0
% 47.91/17.19  																																														|
% 47.91/17.19  																																															| Equations (1837) can reduce 964 to:
% 47.91/17.19  																																															| (906)  ~ (e3 = e0)
% 47.91/17.19  																																															|
% 47.91/17.19  																																															| Simplifying 906 yields:
% 47.91/17.19  																																															| (50)  ~ (e3 = e0)
% 47.91/17.19  																																															|
% 47.91/17.19  																																															| Equations (1837) can reduce 1638 to:
% 47.91/17.19  																																															| (510)  ~ (e2 = e0)
% 47.91/17.19  																																															|
% 47.91/17.19  																																															| Simplifying 510 yields:
% 47.91/17.19  																																															| (76)  ~ (e2 = e0)
% 47.91/17.19  																																															|
% 47.91/17.19  																																															+-Applying beta-rule and splitting (2481), into two cases.
% 47.91/17.19  																																															|-Branch one:
% 47.91/17.19  																																															| (1265) all_0_84_84 = e3
% 47.91/17.19  																																															|
% 47.91/17.19  																																																| Combining equations (916,1265) yields a new equation:
% 47.91/17.19  																																																| (600) e3 = e0
% 47.91/17.19  																																																|
% 47.91/17.19  																																																| Equations (600) can reduce 50 to:
% 47.91/17.19  																																																| (311) $false
% 47.91/17.19  																																																|
% 47.91/17.19  																																																|-The branch is then unsatisfiable
% 47.91/17.19  																																															|-Branch two:
% 47.91/17.19  																																															| (422)  ~ (all_0_84_84 = e3)
% 47.91/17.19  																																															| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 47.91/17.19  																																															|
% 47.91/17.19  																																																+-Applying beta-rule and splitting (3765), into two cases.
% 47.91/17.19  																																																|-Branch one:
% 47.91/17.19  																																																| (882) all_0_92_92 = e3
% 47.91/17.19  																																																|
% 47.91/17.19  																																																	| Combining equations (1343,882) yields a new equation:
% 47.91/17.19  																																																	| (548) e3 = e2
% 47.91/17.19  																																																	|
% 47.91/17.19  																																																	| Equations (548) can reduce 169 to:
% 47.91/17.19  																																																	| (311) $false
% 47.91/17.19  																																																	|
% 47.91/17.19  																																																	|-The branch is then unsatisfiable
% 47.91/17.19  																																																|-Branch two:
% 47.91/17.19  																																																| (426)  ~ (all_0_92_92 = e3)
% 47.91/17.19  																																																| (556) all_0_97_97 = e3
% 47.91/17.19  																																																|
% 47.91/17.19  																																																	| From (556) and (8666) follows:
% 47.91/17.19  																																																	| (8938) op(e1, e3) = e0
% 47.91/17.19  																																																	|
% 47.91/17.19  																																																	+-Applying beta-rule and splitting (108), into two cases.
% 47.91/17.19  																																																	|-Branch one:
% 47.91/17.19  																																																	| (477) all_0_81_81 = e1
% 47.91/17.19  																																																	|
% 47.91/17.19  																																																		| Equations (477) can reduce 257 to:
% 47.91/17.19  																																																		| (264)  ~ (e1 = e0)
% 47.91/17.19  																																																		|
% 47.91/17.19  																																																		+-Applying beta-rule and splitting (1455), into two cases.
% 47.91/17.19  																																																		|-Branch one:
% 47.91/17.19  																																																		| (1456) all_0_91_91 = e0
% 47.91/17.19  																																																		|
% 47.91/17.19  																																																			| Combining equations (801,1456) yields a new equation:
% 47.91/17.19  																																																			| (1107) e1 = e0
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																			| Simplifying 1107 yields:
% 47.91/17.19  																																																			| (865) e1 = e0
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																			| Equations (865) can reduce 264 to:
% 47.91/17.19  																																																			| (311) $false
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																			|-The branch is then unsatisfiable
% 47.91/17.19  																																																		|-Branch two:
% 47.91/17.19  																																																		| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.19  																																																		| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 47.91/17.19  																																																		|
% 47.91/17.19  																																																			+-Applying beta-rule and splitting (1077), into two cases.
% 47.91/17.19  																																																			|-Branch one:
% 47.91/17.19  																																																			| (507) all_0_88_88 = e0
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																				| Combining equations (370,507) yields a new equation:
% 47.91/17.19  																																																				| (923) e2 = e0
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				| Simplifying 923 yields:
% 47.91/17.19  																																																				| (379) e2 = e0
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				| Equations (379) can reduce 76 to:
% 47.91/17.19  																																																				| (311) $false
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				|-The branch is then unsatisfiable
% 47.91/17.19  																																																			|-Branch two:
% 47.91/17.19  																																																			| (1110)  ~ (all_0_88_88 = e0)
% 47.91/17.19  																																																			| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																				| Equations (370) can reduce 1110 to:
% 47.91/17.19  																																																				| (76)  ~ (e2 = e0)
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				+-Applying beta-rule and splitting (1488), into two cases.
% 47.91/17.19  																																																				|-Branch one:
% 47.91/17.19  																																																				| (942) all_0_92_92 = e0
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																					| Combining equations (1343,942) yields a new equation:
% 47.91/17.19  																																																					| (923) e2 = e0
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Simplifying 923 yields:
% 47.91/17.19  																																																					| (379) e2 = e0
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Equations (379) can reduce 76 to:
% 47.91/17.19  																																																					| (311) $false
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					|-The branch is then unsatisfiable
% 47.91/17.19  																																																				|-Branch two:
% 47.91/17.19  																																																				| (946)  ~ (all_0_92_92 = e0)
% 47.91/17.19  																																																				| (604) all_0_93_93 = e0
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																					| Equations (604) can reduce 602 to:
% 47.91/17.19  																																																					| (906)  ~ (e3 = e0)
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Simplifying 906 yields:
% 47.91/17.19  																																																					| (50)  ~ (e3 = e0)
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Instantiating formula (262) with e1, e3, e3, all_0_49_49 and discharging atoms op(e1, e3) = all_0_49_49, op(e1, e3) = e3, yields:
% 47.91/17.19  																																																					| (8782) all_0_49_49 = e3
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Instantiating formula (262) with e1, e3, e0, all_0_49_49 and discharging atoms op(e1, e3) = all_0_49_49, op(e1, e3) = e0, yields:
% 47.91/17.19  																																																					| (8783) all_0_49_49 = e0
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Combining equations (8783,8782) yields a new equation:
% 47.91/17.19  																																																					| (600) e3 = e0
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					| Equations (600) can reduce 50 to:
% 47.91/17.19  																																																					| (311) $false
% 47.91/17.19  																																																					|
% 47.91/17.19  																																																					|-The branch is then unsatisfiable
% 47.91/17.19  																																																	|-Branch two:
% 47.91/17.19  																																																	| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.19  																																																	| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.19  																																																	|
% 47.91/17.19  																																																		+-Applying beta-rule and splitting (476), into two cases.
% 47.91/17.19  																																																		|-Branch one:
% 47.91/17.19  																																																		| (477) all_0_81_81 = e1
% 47.91/17.19  																																																		|
% 47.91/17.19  																																																			| Equations (477) can reduce 628 to:
% 47.91/17.19  																																																			| (311) $false
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																			|-The branch is then unsatisfiable
% 47.91/17.19  																																																		|-Branch two:
% 47.91/17.19  																																																		| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.19  																																																		| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.91/17.19  																																																		|
% 47.91/17.19  																																																			+-Applying beta-rule and splitting (629), into two cases.
% 47.91/17.19  																																																			|-Branch one:
% 47.91/17.19  																																																			| (635) all_0_81_81 = e3
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																				| Equations (635) can reduce 420 to:
% 47.91/17.19  																																																				| (311) $false
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				|-The branch is then unsatisfiable
% 47.91/17.19  																																																			|-Branch two:
% 47.91/17.19  																																																			| (420)  ~ (all_0_81_81 = e3)
% 47.91/17.19  																																																			| (638) all_0_81_81 = e4
% 47.91/17.19  																																																			|
% 47.91/17.19  																																																				| Equations (638) can reduce 634 to:
% 47.91/17.19  																																																				| (311) $false
% 47.91/17.19  																																																				|
% 47.91/17.19  																																																				|-The branch is then unsatisfiable
% 47.91/17.19  																																											|-Branch two:
% 47.91/17.19  																																											| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.19  																																											| (960) all_0_96_96 = e1
% 47.91/17.19  																																											|
% 47.91/17.19  																																												| Equations (960) can reduce 1479 to:
% 47.91/17.19  																																												| (311) $false
% 47.91/17.19  																																												|
% 47.91/17.19  																																												|-The branch is then unsatisfiable
% 47.91/17.19  																																						|-Branch two:
% 47.91/17.19  																																						| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.19  																																						| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 47.91/17.19  																																						|
% 47.91/17.19  																																							+-Applying beta-rule and splitting (220), into two cases.
% 47.91/17.19  																																							|-Branch one:
% 47.91/17.19  																																							| (771) all_0_78_78 = e3
% 47.91/17.19  																																							|
% 47.91/17.19  																																								| Combining equations (400,771) yields a new equation:
% 47.91/17.19  																																								| (548) e3 = e2
% 47.91/17.19  																																								|
% 47.91/17.19  																																								| Equations (548) can reduce 169 to:
% 47.91/17.19  																																								| (311) $false
% 47.91/17.19  																																								|
% 47.91/17.19  																																								|-The branch is then unsatisfiable
% 47.91/17.19  																																							|-Branch two:
% 47.91/17.19  																																							| (418)  ~ (all_0_78_78 = e3)
% 47.91/17.19  																																							| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 47.91/17.19  																																							|
% 47.91/17.19  																																								+-Applying beta-rule and splitting (775), into two cases.
% 47.91/17.19  																																								|-Branch one:
% 47.91/17.19  																																								| (789) all_0_82_82 = e3
% 47.91/17.19  																																								|
% 47.91/17.19  																																									| Combining equations (469,789) yields a new equation:
% 47.91/17.19  																																									| (790) e4 = e3
% 47.91/17.19  																																									|
% 47.91/17.19  																																									| Simplifying 790 yields:
% 47.91/17.19  																																									| (434) e4 = e3
% 47.91/17.19  																																									|
% 47.91/17.19  																																									| Equations (434) can reduce 177 to:
% 47.91/17.19  																																									| (311) $false
% 47.91/17.19  																																									|
% 47.91/17.19  																																									|-The branch is then unsatisfiable
% 47.91/17.19  																																								|-Branch two:
% 47.91/17.19  																																								| (793)  ~ (all_0_82_82 = e3)
% 47.91/17.19  																																								| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 47.91/17.19  																																								|
% 47.91/17.19  																																									+-Applying beta-rule and splitting (794), into two cases.
% 47.91/17.19  																																									|-Branch one:
% 47.91/17.19  																																									| (754) all_0_90_90 = e3
% 47.91/17.19  																																									|
% 47.91/17.19  																																										| Equations (754) can reduce 745 to:
% 47.91/17.19  																																										| (311) $false
% 47.91/17.19  																																										|
% 47.91/17.19  																																										|-The branch is then unsatisfiable
% 47.91/17.19  																																									|-Branch two:
% 47.91/17.19  																																									| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.19  																																									| (744) all_0_95_95 = e3
% 47.91/17.19  																																									|
% 47.91/17.19  																																										| Equations (744) can reduce 229 to:
% 47.91/17.19  																																										| (745)  ~ (all_0_90_90 = e3)
% 47.91/17.19  																																										|
% 47.91/17.19  																																										+-Applying beta-rule and splitting (188), into two cases.
% 47.91/17.19  																																										|-Branch one:
% 47.91/17.19  																																										| (676) all_0_78_78 = e1
% 47.91/17.19  																																										|
% 47.91/17.19  																																											| Combining equations (676,400) yields a new equation:
% 47.91/17.19  																																											| (385) e2 = e1
% 47.91/17.19  																																											|
% 47.91/17.19  																																											| Equations (385) can reduce 243 to:
% 47.91/17.19  																																											| (311) $false
% 47.91/17.19  																																											|
% 47.91/17.19  																																											|-The branch is then unsatisfiable
% 47.91/17.19  																																										|-Branch two:
% 47.91/17.19  																																										| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.19  																																										| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.19  																																										|
% 47.91/17.19  																																											| Equations (400) can reduce 1601 to:
% 47.91/17.19  																																											| (243)  ~ (e2 = e1)
% 47.91/17.19  																																											|
% 47.91/17.19  																																											+-Applying beta-rule and splitting (1077), into two cases.
% 47.91/17.19  																																											|-Branch one:
% 47.91/17.19  																																											| (507) all_0_88_88 = e0
% 47.91/17.19  																																											|
% 47.91/17.19  																																												| Combining equations (370,507) yields a new equation:
% 47.91/17.19  																																												| (923) e2 = e0
% 47.91/17.19  																																												|
% 47.91/17.19  																																												| Simplifying 923 yields:
% 47.91/17.19  																																												| (379) e2 = e0
% 47.91/17.19  																																												|
% 47.91/17.19  																																												| Equations (379) can reduce 76 to:
% 47.91/17.19  																																												| (311) $false
% 47.91/17.19  																																												|
% 47.91/17.19  																																												|-The branch is then unsatisfiable
% 47.91/17.19  																																											|-Branch two:
% 47.91/17.19  																																											| (1110)  ~ (all_0_88_88 = e0)
% 47.91/17.19  																																											| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 47.91/17.19  																																											|
% 47.91/17.19  																																												+-Applying beta-rule and splitting (1718), into two cases.
% 47.91/17.19  																																												|-Branch one:
% 47.91/17.19  																																												| (384) all_0_86_86 = e1
% 47.91/17.19  																																												|
% 47.91/17.19  																																													| Combining equations (384,378) yields a new equation:
% 47.91/17.19  																																													| (1107) e1 = e0
% 47.91/17.19  																																													|
% 47.91/17.19  																																													| Simplifying 1107 yields:
% 47.91/17.19  																																													| (865) e1 = e0
% 47.91/17.19  																																													|
% 47.91/17.19  																																													| Equations (865) can reduce 264 to:
% 47.91/17.19  																																													| (311) $false
% 47.91/17.19  																																													|
% 47.91/17.19  																																													|-The branch is then unsatisfiable
% 47.91/17.19  																																												|-Branch two:
% 47.91/17.19  																																												| (387)  ~ (all_0_86_86 = e1)
% 47.91/17.20  																																												| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.20  																																												|
% 47.91/17.20  																																													+-Applying beta-rule and splitting (476), into two cases.
% 47.91/17.20  																																													|-Branch one:
% 47.91/17.20  																																													| (477) all_0_81_81 = e1
% 47.91/17.20  																																													|
% 47.91/17.20  																																														| Equations (477) can reduce 420 to:
% 47.91/17.20  																																														| (683)  ~ (e3 = e1)
% 47.91/17.20  																																														|
% 47.91/17.20  																																														| Simplifying 683 yields:
% 47.91/17.20  																																														| (20)  ~ (e3 = e1)
% 47.91/17.20  																																														|
% 47.91/17.20  																																														+-Applying beta-rule and splitting (2122), into two cases.
% 47.91/17.20  																																														|-Branch one:
% 47.91/17.20  																																														| (750) all_0_90_90 = e1
% 47.91/17.20  																																														|
% 47.91/17.20  																																															| Equations (750) can reduce 103 to:
% 47.91/17.20  																																															| (1669)  ~ (all_0_91_91 = e1)
% 47.91/17.20  																																															|
% 47.91/17.20  																																															| Simplifying 1669 yields:
% 47.91/17.20  																																															| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.20  																																															|
% 47.91/17.20  																																															| Equations (750) can reduce 745 to:
% 47.91/17.20  																																															| (683)  ~ (e3 = e1)
% 47.91/17.20  																																															|
% 47.91/17.20  																																															| Simplifying 683 yields:
% 47.91/17.20  																																															| (20)  ~ (e3 = e1)
% 47.91/17.20  																																															|
% 47.91/17.20  																																															+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.20  																																															|-Branch one:
% 47.91/17.20  																																															| (457) all_0_79_79 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																																| Combining equations (457,1708) yields a new equation:
% 47.91/17.20  																																																| (772) e3 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																| Equations (772) can reduce 20 to:
% 47.91/17.20  																																																| (311) $false
% 47.91/17.20  																																																|
% 47.91/17.20  																																																|-The branch is then unsatisfiable
% 47.91/17.20  																																															|-Branch two:
% 47.91/17.20  																																															| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.20  																																															| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																																+-Applying beta-rule and splitting (462), into two cases.
% 47.91/17.20  																																																|-Branch one:
% 47.91/17.20  																																																| (801) all_0_91_91 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																	| Equations (801) can reduce 959 to:
% 47.91/17.20  																																																	| (311) $false
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	|-The branch is then unsatisfiable
% 47.91/17.20  																																																|-Branch two:
% 47.91/17.20  																																																| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.20  																																																| (960) all_0_96_96 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																	| Equations (960) can reduce 64 to:
% 47.91/17.20  																																																	| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	+-Applying beta-rule and splitting (284), into two cases.
% 47.91/17.20  																																																	|-Branch one:
% 47.91/17.20  																																																	| (1723) all_0_91_91 = e2
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																		| Equations (1723) can reduce 296 to:
% 47.91/17.20  																																																		| (311) $false
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																		|-The branch is then unsatisfiable
% 47.91/17.20  																																																	|-Branch two:
% 47.91/17.20  																																																	| (296)  ~ (all_0_91_91 = e2)
% 47.91/17.20  																																																	| (1726) all_0_91_91 = e3 | all_0_91_91 = e1 | all_0_91_91 = e0
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																		+-Applying beta-rule and splitting (1111), into two cases.
% 47.91/17.20  																																																		|-Branch one:
% 47.91/17.20  																																																		| (604) all_0_93_93 = e0
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																			| Equations (604) can reduce 44 to:
% 47.91/17.20  																																																			| (1487)  ~ (all_0_91_91 = e0)
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			+-Applying beta-rule and splitting (1726), into two cases.
% 47.91/17.20  																																																			|-Branch one:
% 47.91/17.20  																																																			| (801) all_0_91_91 = e1
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																				| Equations (801) can reduce 959 to:
% 47.91/17.20  																																																				| (311) $false
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																				|-The branch is then unsatisfiable
% 47.91/17.20  																																																			|-Branch two:
% 47.91/17.20  																																																			| (959)  ~ (all_0_91_91 = e1)
% 47.91/17.20  																																																			| (1880) all_0_91_91 = e3 | all_0_91_91 = e0
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																				+-Applying beta-rule and splitting (1880), into two cases.
% 47.91/17.20  																																																				|-Branch one:
% 47.91/17.20  																																																				| (588) all_0_91_91 = e3
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																					| Equations (588) can reduce 571 to:
% 47.91/17.20  																																																					| (311) $false
% 47.91/17.20  																																																					|
% 47.91/17.20  																																																					|-The branch is then unsatisfiable
% 47.91/17.20  																																																				|-Branch two:
% 47.91/17.20  																																																				| (571)  ~ (all_0_91_91 = e3)
% 47.91/17.20  																																																				| (1456) all_0_91_91 = e0
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																					| Equations (1456) can reduce 1487 to:
% 47.91/17.20  																																																					| (311) $false
% 47.91/17.20  																																																					|
% 47.91/17.20  																																																					|-The branch is then unsatisfiable
% 47.91/17.20  																																																		|-Branch two:
% 47.91/17.20  																																																		| (509)  ~ (all_0_93_93 = e0)
% 47.91/17.20  																																																		| (1121) all_0_98_98 = e0
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																			| Combining equations (2650,1121) yields a new equation:
% 47.91/17.20  																																																			| (911) e4 = e0
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			| Simplifying 911 yields:
% 47.91/17.20  																																																			| (912) e4 = e0
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			| Equations (912) can reduce 23 to:
% 47.91/17.20  																																																			| (311) $false
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			|-The branch is then unsatisfiable
% 47.91/17.20  																																														|-Branch two:
% 47.91/17.20  																																														| (678)  ~ (all_0_90_90 = e1)
% 47.91/17.20  																																														| (785) all_0_95_95 = e1
% 47.91/17.20  																																														|
% 47.91/17.20  																																															| Combining equations (744,785) yields a new equation:
% 47.91/17.20  																																															| (825) e3 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																															| Simplifying 825 yields:
% 47.91/17.20  																																															| (772) e3 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																															| Equations (772) can reduce 20 to:
% 47.91/17.20  																																															| (311) $false
% 47.91/17.20  																																															|
% 47.91/17.20  																																															|-The branch is then unsatisfiable
% 47.91/17.20  																																													|-Branch two:
% 47.91/17.20  																																													| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.20  																																													| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 47.91/17.20  																																													|
% 47.91/17.20  																																														+-Applying beta-rule and splitting (108), into two cases.
% 47.91/17.20  																																														|-Branch one:
% 47.91/17.20  																																														| (477) all_0_81_81 = e1
% 47.91/17.20  																																														|
% 47.91/17.20  																																															| Equations (477) can reduce 628 to:
% 47.91/17.20  																																															| (311) $false
% 47.91/17.20  																																															|
% 47.91/17.20  																																															|-The branch is then unsatisfiable
% 47.91/17.20  																																														|-Branch two:
% 47.91/17.20  																																														| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.20  																																														| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.20  																																														|
% 47.91/17.20  																																															+-Applying beta-rule and splitting (817), into two cases.
% 47.91/17.20  																																															|-Branch one:
% 47.91/17.20  																																															| (504) all_0_88_88 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																																| Combining equations (370,504) yields a new equation:
% 47.91/17.20  																																																| (408) e2 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																| Simplifying 408 yields:
% 47.91/17.20  																																																| (385) e2 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																| Equations (385) can reduce 243 to:
% 47.91/17.20  																																																| (311) $false
% 47.91/17.20  																																																|
% 47.91/17.20  																																																|-The branch is then unsatisfiable
% 47.91/17.20  																																															|-Branch two:
% 47.91/17.20  																																															| (479)  ~ (all_0_88_88 = e1)
% 47.91/17.20  																																															| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 47.91/17.20  																																															|
% 47.91/17.20  																																																+-Applying beta-rule and splitting (897), into two cases.
% 47.91/17.20  																																																|-Branch one:
% 47.91/17.20  																																																| (566) all_0_93_93 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																	| Equations (566) can reduce 277 to:
% 47.91/17.20  																																																	| (628)  ~ (all_0_81_81 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	| Equations (566) can reduce 496 to:
% 47.91/17.20  																																																	| (681)  ~ (e4 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	| Simplifying 681 yields:
% 47.91/17.20  																																																	| (256)  ~ (e4 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	| Equations (566) can reduce 602 to:
% 47.91/17.20  																																																	| (683)  ~ (e3 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	| Simplifying 683 yields:
% 47.91/17.20  																																																	| (20)  ~ (e3 = e1)
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	+-Applying beta-rule and splitting (127), into two cases.
% 47.91/17.20  																																																	|-Branch one:
% 47.91/17.20  																																																	| (457) all_0_79_79 = e1
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																		| Combining equations (1708,457) yields a new equation:
% 47.91/17.20  																																																		| (825) e3 = e1
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																		| Simplifying 825 yields:
% 47.91/17.20  																																																		| (772) e3 = e1
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																		| Equations (772) can reduce 20 to:
% 47.91/17.20  																																																		| (311) $false
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																		|-The branch is then unsatisfiable
% 47.91/17.20  																																																	|-Branch two:
% 47.91/17.20  																																																	| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.20  																																																	| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																		| Equations (1708) can reduce 461 to:
% 47.91/17.20  																																																		| (20)  ~ (e3 = e1)
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																		+-Applying beta-rule and splitting (1602), into two cases.
% 47.91/17.20  																																																		|-Branch one:
% 47.91/17.20  																																																		| (457) all_0_79_79 = e1
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																			| Combining equations (1708,457) yields a new equation:
% 47.91/17.20  																																																			| (825) e3 = e1
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			| Simplifying 825 yields:
% 47.91/17.20  																																																			| (772) e3 = e1
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			| Equations (772) can reduce 20 to:
% 47.91/17.20  																																																			| (311) $false
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																			|-The branch is then unsatisfiable
% 47.91/17.20  																																																		|-Branch two:
% 47.91/17.20  																																																		| (461)  ~ (all_0_79_79 = e1)
% 47.91/17.20  																																																		| (8180) all_0_80_80 = e1 | all_0_81_81 = e1
% 47.91/17.20  																																																		|
% 47.91/17.20  																																																			+-Applying beta-rule and splitting (8180), into two cases.
% 47.91/17.20  																																																			|-Branch one:
% 47.91/17.20  																																																			| (824) all_0_80_80 = e1
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																				| Combining equations (433,824) yields a new equation:
% 47.91/17.20  																																																				| (813) e4 = e1
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																				| Simplifying 813 yields:
% 47.91/17.20  																																																				| (814) e4 = e1
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																				| Equations (814) can reduce 256 to:
% 47.91/17.20  																																																				| (311) $false
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																				|-The branch is then unsatisfiable
% 47.91/17.20  																																																			|-Branch two:
% 47.91/17.20  																																																			| (828)  ~ (all_0_80_80 = e1)
% 47.91/17.20  																																																			| (477) all_0_81_81 = e1
% 47.91/17.20  																																																			|
% 47.91/17.20  																																																				| Equations (477) can reduce 628 to:
% 47.91/17.20  																																																				| (311) $false
% 47.91/17.20  																																																				|
% 47.91/17.20  																																																				|-The branch is then unsatisfiable
% 47.91/17.20  																																																|-Branch two:
% 47.91/17.20  																																																| (481)  ~ (all_0_93_93 = e1)
% 47.91/17.20  																																																| (1543) all_0_98_98 = e1
% 47.91/17.20  																																																|
% 47.91/17.20  																																																	| Combining equations (1543,2650) yields a new equation:
% 47.91/17.20  																																																	| (814) e4 = e1
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	| Equations (814) can reduce 256 to:
% 47.91/17.20  																																																	| (311) $false
% 47.91/17.20  																																																	|
% 47.91/17.20  																																																	|-The branch is then unsatisfiable
% 47.91/17.20  																																					|-Branch two:
% 47.91/17.20  																																					| (1711)  ~ (all_0_79_79 = e3)
% 47.91/17.20  																																					| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 47.91/17.20  																																					|
% 47.91/17.20  																																						+-Applying beta-rule and splitting (1768), into two cases.
% 47.91/17.20  																																						|-Branch one:
% 47.91/17.20  																																						| (416) all_0_80_80 = e3
% 47.91/17.20  																																						|
% 47.91/17.20  																																							| Combining equations (433,416) yields a new equation:
% 47.91/17.20  																																							| (790) e4 = e3
% 47.91/17.20  																																							|
% 47.91/17.20  																																							| Simplifying 790 yields:
% 47.91/17.20  																																							| (434) e4 = e3
% 47.91/17.20  																																							|
% 47.91/17.20  																																							| Equations (434) can reduce 177 to:
% 47.91/17.20  																																							| (311) $false
% 47.91/17.20  																																							|
% 47.91/17.20  																																							|-The branch is then unsatisfiable
% 47.91/17.20  																																						|-Branch two:
% 47.91/17.20  																																						| (2347)  ~ (all_0_80_80 = e3)
% 47.91/17.20  																																						| (635) all_0_81_81 = e3
% 47.91/17.20  																																						|
% 47.91/17.20  																																							| Equations (635) can reduce 420 to:
% 47.91/17.20  																																							| (311) $false
% 47.91/17.20  																																							|
% 47.91/17.20  																																							|-The branch is then unsatisfiable
% 47.91/17.20  																								|-Branch two:
% 47.91/17.20  																								| (952)  ~ (all_0_85_85 = e3)
% 47.91/17.20  																								| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 47.91/17.20  																								|
% 47.91/17.20  																									+-Applying beta-rule and splitting (953), into two cases.
% 47.91/17.20  																									|-Branch one:
% 47.91/17.20  																									| (954) all_0_85_85 = e0
% 47.91/17.20  																									|
% 47.91/17.20  																										| Equations (954) can reduce 800 to:
% 47.91/17.20  																										| (311) $false
% 47.91/17.20  																										|
% 47.91/17.20  																										|-The branch is then unsatisfiable
% 47.91/17.20  																									|-Branch two:
% 47.91/17.20  																									| (800)  ~ (all_0_85_85 = e0)
% 47.91/17.20  																									| (493) all_0_85_85 = e4
% 47.91/17.20  																									|
% 47.91/17.20  																										| Equations (493) can reduce 648 to:
% 47.91/17.20  																										| (311) $false
% 47.91/17.20  																										|
% 47.91/17.20  																										|-The branch is then unsatisfiable
% 47.91/17.20  																						|-Branch two:
% 47.91/17.20  																						| (465)  ~ (all_0_82_82 = e4)
% 47.91/17.20  																						| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 47.91/17.20  																						|
% 47.91/17.20  																							+-Applying beta-rule and splitting (4), into two cases.
% 47.91/17.20  																							|-Branch one:
% 47.91/17.20  																							| (463) all_0_78_78 = e4
% 47.91/17.20  																							|
% 47.91/17.20  																								| Combining equations (400,463) yields a new equation:
% 47.91/17.20  																								| (310) e4 = e2
% 47.91/17.20  																								|
% 47.91/17.20  																								| Equations (310) can reduce 79 to:
% 47.91/17.20  																								| (311) $false
% 47.91/17.20  																								|
% 47.91/17.20  																								|-The branch is then unsatisfiable
% 47.91/17.20  																							|-Branch two:
% 47.91/17.20  																							| (640)  ~ (all_0_78_78 = e4)
% 47.91/17.20  																							| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 47.91/17.20  																							|
% 47.91/17.20  																								+-Applying beta-rule and splitting (3625), into two cases.
% 47.91/17.20  																								|-Branch one:
% 47.91/17.20  																								| (469) all_0_82_82 = e4
% 47.91/17.20  																								|
% 47.91/17.20  																									| Equations (469) can reduce 465 to:
% 47.91/17.20  																									| (311) $false
% 47.91/17.20  																									|
% 47.91/17.20  																									|-The branch is then unsatisfiable
% 47.91/17.20  																								|-Branch two:
% 47.91/17.20  																								| (465)  ~ (all_0_82_82 = e4)
% 47.91/17.20  																								| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 47.91/17.20  																								|
% 47.91/17.20  																									+-Applying beta-rule and splitting (3629), into two cases.
% 47.91/17.20  																									|-Branch one:
% 47.91/17.20  																									| (583) all_0_90_90 = e4
% 47.91/17.20  																									|
% 47.91/17.20  																										| Equations (583) can reduce 467 to:
% 47.91/17.20  																										| (311) $false
% 47.91/17.20  																										|
% 47.91/17.20  																										|-The branch is then unsatisfiable
% 47.91/17.20  																									|-Branch two:
% 47.91/17.20  																									| (467)  ~ (all_0_90_90 = e4)
% 47.91/17.20  																									| (894) all_0_95_95 = e4
% 47.91/17.20  																									|
% 47.91/17.20  																										| Equations (894) can reduce 105 to:
% 47.91/17.20  																										| (318)  ~ (all_0_97_97 = e4)
% 47.91/17.20  																										|
% 47.91/17.20  																										| Simplifying 318 yields:
% 47.91/17.20  																										| (319)  ~ (all_0_97_97 = e4)
% 47.91/17.20  																										|
% 47.91/17.20  																										| Equations (894) can reduce 355 to:
% 47.91/17.20  																										| (79)  ~ (e4 = e2)
% 47.91/17.20  																										|
% 47.91/17.20  																										| Equations (894) can reduce 893 to:
% 47.91/17.20  																										| (23)  ~ (e4 = e0)
% 47.91/17.20  																										|
% 47.91/17.20  																										| From (894) and (121) follows:
% 47.91/17.20  																										| (39580) op(e3, e4) = all_0_50_50
% 47.91/17.20  																										|
% 47.91/17.20  																										+-Applying beta-rule and splitting (210), into two cases.
% 47.91/17.20  																										|-Branch one:
% 47.91/17.20  																										| (433) all_0_80_80 = e4
% 47.91/17.20  																										|
% 47.91/17.20  																											| Equations (433) can reduce 828 to:
% 47.91/17.20  																											| (256)  ~ (e4 = e1)
% 47.91/17.21  																											|
% 47.91/17.21  																											| Equations (433) can reduce 166 to:
% 47.91/17.21  																											| (23)  ~ (e4 = e0)
% 47.91/17.21  																											|
% 47.91/17.21  																											+-Applying beta-rule and splitting (188), into two cases.
% 47.91/17.21  																											|-Branch one:
% 47.91/17.21  																											| (676) all_0_78_78 = e1
% 47.91/17.21  																											|
% 47.91/17.21  																												| Combining equations (400,676) yields a new equation:
% 47.91/17.21  																												| (408) e2 = e1
% 47.91/17.21  																												|
% 47.91/17.21  																												| Simplifying 408 yields:
% 47.91/17.21  																												| (385) e2 = e1
% 47.91/17.21  																												|
% 47.91/17.21  																												| Equations (385) can reduce 243 to:
% 47.91/17.21  																												| (311) $false
% 47.91/17.21  																												|
% 47.91/17.21  																												|-The branch is then unsatisfiable
% 47.91/17.21  																											|-Branch two:
% 47.91/17.21  																											| (1601)  ~ (all_0_78_78 = e1)
% 47.91/17.21  																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.21  																											|
% 47.91/17.21  																												+-Applying beta-rule and splitting (1718), into two cases.
% 47.91/17.21  																												|-Branch one:
% 47.91/17.21  																												| (384) all_0_86_86 = e1
% 47.91/17.21  																												|
% 47.91/17.21  																													| Combining equations (378,384) yields a new equation:
% 47.91/17.21  																													| (865) e1 = e0
% 47.91/17.21  																													|
% 47.91/17.21  																													| Equations (865) can reduce 264 to:
% 47.91/17.21  																													| (311) $false
% 47.91/17.21  																													|
% 47.91/17.21  																													|-The branch is then unsatisfiable
% 47.91/17.21  																												|-Branch two:
% 47.91/17.21  																												| (387)  ~ (all_0_86_86 = e1)
% 47.91/17.21  																												| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 47.91/17.21  																												|
% 47.91/17.21  																													+-Applying beta-rule and splitting (2122), into two cases.
% 47.91/17.21  																													|-Branch one:
% 47.91/17.21  																													| (750) all_0_90_90 = e1
% 47.91/17.21  																													|
% 47.91/17.21  																														| Equations (750) can reduce 762 to:
% 47.91/17.21  																														| (264)  ~ (e1 = e0)
% 47.91/17.21  																														|
% 47.91/17.21  																														| From (750) and (217) follows:
% 47.91/17.21  																														| (10289) op(e3, e1) = all_0_48_48
% 47.91/17.21  																														|
% 47.91/17.21  																														+-Applying beta-rule and splitting (182), into two cases.
% 47.91/17.21  																														|-Branch one:
% 47.91/17.21  																														| (512) all_0_85_85 = e2
% 47.91/17.21  																														|
% 47.91/17.21  																															| Equations (512) can reduce 515 to:
% 47.91/17.21  																															| (311) $false
% 47.91/17.21  																															|
% 47.91/17.21  																															|-The branch is then unsatisfiable
% 47.91/17.21  																														|-Branch two:
% 47.91/17.21  																														| (515)  ~ (all_0_85_85 = e2)
% 47.91/17.21  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 47.91/17.21  																														|
% 47.91/17.21  																															+-Applying beta-rule and splitting (472), into two cases.
% 47.91/17.21  																															|-Branch one:
% 47.91/17.21  																															| (438) all_0_84_84 = e4
% 47.91/17.21  																															|
% 47.91/17.21  																																| Combining equations (916,438) yields a new equation:
% 47.91/17.21  																																| (912) e4 = e0
% 47.91/17.21  																																|
% 47.91/17.21  																																| Equations (912) can reduce 23 to:
% 47.91/17.21  																																| (311) $false
% 47.91/17.21  																																|
% 47.91/17.21  																																|-The branch is then unsatisfiable
% 47.91/17.21  																															|-Branch two:
% 47.91/17.21  																															| (417)  ~ (all_0_84_84 = e4)
% 47.91/17.21  																															| (493) all_0_85_85 = e4
% 47.91/17.21  																															|
% 47.91/17.21  																																| Combining equations (493,9576) yields a new equation:
% 47.91/17.21  																																| (18214) all_0_46_46 = e4
% 47.91/17.21  																																|
% 47.91/17.21  																																| Equations (493) can reduce 515 to:
% 47.91/17.21  																																| (79)  ~ (e4 = e2)
% 47.91/17.21  																																|
% 47.91/17.21  																																| From (493) and (197) follows:
% 47.91/17.21  																																| (4405) op(e3, e4) = all_0_72_72
% 47.91/17.21  																																|
% 47.91/17.21  																																| Instantiating formula (262) with e3, e4, all_0_50_50, e1 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = e1, yields:
% 47.91/17.21  																																| (39636) all_0_50_50 = e1
% 47.91/17.21  																																|
% 47.91/17.21  																																| Instantiating formula (262) with e3, e4, all_0_72_72, all_0_50_50 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = all_0_72_72, yields:
% 47.91/17.21  																																| (18260) all_0_50_50 = all_0_72_72
% 47.91/17.21  																																|
% 47.91/17.21  																																| Instantiating formula (262) with e3, e1, all_0_48_48, e0 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = e0, yields:
% 47.91/17.21  																																| (46520) all_0_48_48 = e0
% 47.91/17.21  																																|
% 47.91/17.21  																																| Combining equations (39636,18260) yields a new equation:
% 47.91/17.21  																																| (845) all_0_72_72 = e1
% 47.91/17.21  																																|
% 47.91/17.21  																																| Combining equations (845,18260) yields a new equation:
% 47.91/17.21  																																| (39636) all_0_50_50 = e1
% 47.91/17.21  																																|
% 47.91/17.21  																																+-Applying beta-rule and splitting (186), into two cases.
% 47.91/17.21  																																|-Branch one:
% 47.91/17.21  																																| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 47.91/17.21  																																|
% 47.91/17.21  																																	+-Applying beta-rule and splitting (726), into two cases.
% 47.91/17.21  																																	|-Branch one:
% 47.91/17.21  																																	| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 47.91/17.21  																																	|
% 47.91/17.21  																																		+-Applying beta-rule and splitting (727), into two cases.
% 47.91/17.21  																																		|-Branch one:
% 47.91/17.21  																																		| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 47.91/17.21  																																		|
% 47.91/17.21  																																			| Applying alpha-rule on (728) yields:
% 47.91/17.21  																																			| (729) all_0_43_43 = e4
% 47.91/17.21  																																			| (730)  ~ (all_0_44_44 = e3)
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Combining equations (729,689) yields a new equation:
% 47.91/17.21  																																			| (309) e4 = e2
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Simplifying 309 yields:
% 47.91/17.21  																																			| (310) e4 = e2
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Equations (310) can reduce 79 to:
% 47.91/17.21  																																			| (311) $false
% 47.91/17.21  																																			|
% 47.91/17.21  																																			|-The branch is then unsatisfiable
% 47.91/17.21  																																		|-Branch two:
% 47.91/17.21  																																		| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 47.91/17.21  																																		|
% 47.91/17.21  																																			| Applying alpha-rule on (734) yields:
% 47.91/17.21  																																			| (735) all_0_46_46 = e2
% 47.91/17.21  																																			| (736)  ~ (all_0_47_47 = e3)
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Combining equations (18214,735) yields a new equation:
% 47.91/17.21  																																			| (309) e4 = e2
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Simplifying 309 yields:
% 47.91/17.21  																																			| (310) e4 = e2
% 47.91/17.21  																																			|
% 47.91/17.21  																																			| Equations (310) can reduce 79 to:
% 47.91/17.21  																																			| (311) $false
% 47.91/17.21  																																			|
% 47.91/17.21  																																			|-The branch is then unsatisfiable
% 47.91/17.21  																																	|-Branch two:
% 47.91/17.21  																																	| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 47.91/17.21  																																	|
% 47.91/17.21  																																		| Applying alpha-rule on (740) yields:
% 47.91/17.21  																																		| (741) all_0_48_48 = e1
% 47.91/17.21  																																		| (742)  ~ (all_0_49_49 = e3)
% 47.91/17.21  																																		|
% 47.91/17.22  																																		| Combining equations (46520,741) yields a new equation:
% 47.91/17.22  																																		| (865) e1 = e0
% 47.91/17.22  																																		|
% 47.91/17.22  																																		| Equations (865) can reduce 264 to:
% 47.91/17.22  																																		| (311) $false
% 47.91/17.22  																																		|
% 47.91/17.22  																																		|-The branch is then unsatisfiable
% 47.91/17.22  																																|-Branch two:
% 47.91/17.22  																																| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 47.91/17.22  																																|
% 47.91/17.22  																																	| Applying alpha-rule on (973) yields:
% 47.91/17.22  																																	| (974) all_0_50_50 = e0
% 47.91/17.22  																																	| (975)  ~ (all_0_51_51 = e3)
% 47.91/17.22  																																	|
% 47.91/17.22  																																	| Combining equations (39636,974) yields a new equation:
% 47.91/17.22  																																	| (1107) e1 = e0
% 47.91/17.22  																																	|
% 47.91/17.22  																																	| Simplifying 1107 yields:
% 47.91/17.22  																																	| (865) e1 = e0
% 47.91/17.22  																																	|
% 47.91/17.22  																																	| Equations (865) can reduce 264 to:
% 47.91/17.22  																																	| (311) $false
% 47.91/17.22  																																	|
% 47.91/17.22  																																	|-The branch is then unsatisfiable
% 47.91/17.22  																													|-Branch two:
% 47.91/17.22  																													| (678)  ~ (all_0_90_90 = e1)
% 47.91/17.22  																													| (785) all_0_95_95 = e1
% 47.91/17.22  																													|
% 47.91/17.22  																														| Combining equations (894,785) yields a new equation:
% 47.91/17.22  																														| (813) e4 = e1
% 47.91/17.22  																														|
% 47.91/17.22  																														| Simplifying 813 yields:
% 47.91/17.22  																														| (814) e4 = e1
% 47.91/17.22  																														|
% 47.91/17.22  																														| Equations (814) can reduce 256 to:
% 47.91/17.22  																														| (311) $false
% 47.91/17.22  																														|
% 47.91/17.22  																														|-The branch is then unsatisfiable
% 47.91/17.22  																										|-Branch two:
% 48.00/17.22  																										| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.22  																										| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 48.00/17.22  																										|
% 48.00/17.22  																											+-Applying beta-rule and splitting (437), into two cases.
% 48.00/17.22  																											|-Branch one:
% 48.00/17.22  																											| (438) all_0_84_84 = e4
% 48.00/17.22  																											|
% 48.00/17.22  																												| Combining equations (916,438) yields a new equation:
% 48.00/17.22  																												| (912) e4 = e0
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (912) can reduce 23 to:
% 48.00/17.22  																												| (311) $false
% 48.00/17.22  																												|
% 48.00/17.22  																												|-The branch is then unsatisfiable
% 48.00/17.22  																											|-Branch two:
% 48.00/17.22  																											| (417)  ~ (all_0_84_84 = e4)
% 48.00/17.22  																											| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 48.00/17.22  																											|
% 48.00/17.22  																												+-Applying beta-rule and splitting (441), into two cases.
% 48.00/17.22  																												|-Branch one:
% 48.00/17.22  																												| (442) all_0_92_92 = e4
% 48.00/17.22  																												|
% 48.00/17.22  																													| Combining equations (442,1343) yields a new equation:
% 48.00/17.22  																													| (309) e4 = e2
% 48.00/17.22  																													|
% 48.00/17.22  																													| Simplifying 309 yields:
% 48.00/17.22  																													| (310) e4 = e2
% 48.00/17.22  																													|
% 48.00/17.22  																													| Equations (310) can reduce 79 to:
% 48.00/17.22  																													| (311) $false
% 48.00/17.22  																													|
% 48.00/17.22  																													|-The branch is then unsatisfiable
% 48.00/17.22  																												|-Branch two:
% 48.00/17.22  																												| (1619)  ~ (all_0_92_92 = e4)
% 48.00/17.22  																												| (610) all_0_97_97 = e4
% 48.00/17.22  																												|
% 48.00/17.22  																													| Equations (610) can reduce 319 to:
% 48.00/17.22  																													| (311) $false
% 48.00/17.22  																													|
% 48.00/17.22  																													|-The branch is then unsatisfiable
% 48.00/17.22  																					|-Branch two:
% 48.00/17.22  																					| (919)  ~ (all_0_84_84 = e0)
% 48.00/17.22  																					| (920) all_0_87_87 = e0 | all_0_92_92 = e0 | all_0_97_97 = e0
% 48.00/17.22  																					|
% 48.00/17.22  																						+-Applying beta-rule and splitting (1309), into two cases.
% 48.00/17.22  																						|-Branch one:
% 48.00/17.22  																						| (798) all_0_83_83 = e0
% 48.00/17.22  																						|
% 48.00/17.22  																							| Combining equations (453,798) yields a new equation:
% 48.00/17.22  																							| (923) e2 = e0
% 48.00/17.22  																							|
% 48.00/17.22  																							| Simplifying 923 yields:
% 48.00/17.22  																							| (379) e2 = e0
% 48.00/17.22  																							|
% 48.00/17.22  																							| Equations (379) can reduce 76 to:
% 48.00/17.22  																							| (311) $false
% 48.00/17.22  																							|
% 48.00/17.22  																							|-The branch is then unsatisfiable
% 48.00/17.22  																						|-Branch two:
% 48.00/17.22  																						| (1314)  ~ (all_0_83_83 = e0)
% 48.00/17.22  																						| (1315) all_0_84_84 = e0 | all_0_85_85 = e0
% 48.00/17.22  																						|
% 48.00/17.22  																							+-Applying beta-rule and splitting (920), into two cases.
% 48.00/17.22  																							|-Branch one:
% 48.00/17.22  																							| (861) all_0_87_87 = e0
% 48.00/17.22  																							|
% 48.00/17.22  																								| Combining equations (482,861) yields a new equation:
% 48.00/17.22  																								| (1107) e1 = e0
% 48.00/17.22  																								|
% 48.00/17.22  																								| Simplifying 1107 yields:
% 48.00/17.22  																								| (865) e1 = e0
% 48.00/17.22  																								|
% 48.00/17.22  																								| Equations (865) can reduce 264 to:
% 48.00/17.22  																								| (311) $false
% 48.00/17.22  																								|
% 48.00/17.22  																								|-The branch is then unsatisfiable
% 48.00/17.22  																							|-Branch two:
% 48.00/17.22  																							| (889)  ~ (all_0_87_87 = e0)
% 48.00/17.22  																							| (931) all_0_92_92 = e0 | all_0_97_97 = e0
% 48.00/17.22  																							|
% 48.00/17.22  																								+-Applying beta-rule and splitting (1315), into two cases.
% 48.00/17.22  																								|-Branch one:
% 48.00/17.22  																								| (916) all_0_84_84 = e0
% 48.00/17.22  																								|
% 48.00/17.22  																									| Equations (916) can reduce 919 to:
% 48.00/17.22  																									| (311) $false
% 48.00/17.22  																									|
% 48.00/17.22  																									|-The branch is then unsatisfiable
% 48.00/17.22  																								|-Branch two:
% 48.00/17.22  																								| (919)  ~ (all_0_84_84 = e0)
% 48.00/17.22  																								| (954) all_0_85_85 = e0
% 48.00/17.22  																								|
% 48.00/17.22  																									| Combining equations (954,9576) yields a new equation:
% 48.00/17.22  																									| (10066) all_0_46_46 = e0
% 48.00/17.22  																									|
% 48.00/17.22  																									| Equations (954) can reduce 118 to:
% 48.00/17.22  																									| (257)  ~ (all_0_81_81 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									| Equations (954) can reduce 209 to:
% 48.00/17.22  																									| (914)  ~ (all_0_82_82 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									| Equations (954) can reduce 201 to:
% 48.00/17.22  																									| (508)  ~ (all_0_93_93 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									| Simplifying 508 yields:
% 48.00/17.22  																									| (509)  ~ (all_0_93_93 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									| Equations (954) can reduce 515 to:
% 48.00/17.22  																									| (510)  ~ (e2 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									| Simplifying 510 yields:
% 48.00/17.22  																									| (76)  ~ (e2 = e0)
% 48.00/17.22  																									|
% 48.00/17.22  																									+-Applying beta-rule and splitting (931), into two cases.
% 48.00/17.22  																									|-Branch one:
% 48.00/17.22  																									| (942) all_0_92_92 = e0
% 48.00/17.22  																									|
% 48.00/17.22  																										| Combining equations (942,1343) yields a new equation:
% 48.00/17.22  																										| (379) e2 = e0
% 48.00/17.22  																										|
% 48.00/17.22  																										| Equations (379) can reduce 76 to:
% 48.00/17.22  																										| (311) $false
% 48.00/17.22  																										|
% 48.00/17.22  																										|-The branch is then unsatisfiable
% 48.00/17.22  																									|-Branch two:
% 48.00/17.22  																									| (946)  ~ (all_0_92_92 = e0)
% 48.00/17.22  																									| (560) all_0_97_97 = e0
% 48.00/17.22  																									|
% 48.00/17.22  																										| Equations (560) can reduce 202 to:
% 48.00/17.22  																										| (166)  ~ (all_0_80_80 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Equations (560) can reduce 105 to:
% 48.00/17.22  																										| (893)  ~ (all_0_95_95 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Equations (560) can reduce 148 to:
% 48.00/17.22  																										| (2058)  ~ (all_0_98_98 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Simplifying 2058 yields:
% 48.00/17.22  																										| (2059)  ~ (all_0_98_98 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Equations (560) can reduce 527 to:
% 48.00/17.22  																										| (510)  ~ (e2 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Simplifying 510 yields:
% 48.00/17.22  																										| (76)  ~ (e2 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Equations (560) can reduce 486 to:
% 48.00/17.22  																										| (859)  ~ (e1 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										| Simplifying 859 yields:
% 48.00/17.22  																										| (264)  ~ (e1 = e0)
% 48.00/17.22  																										|
% 48.00/17.22  																										+-Applying beta-rule and splitting (291), into two cases.
% 48.00/17.22  																										|-Branch one:
% 48.00/17.22  																										| (758) all_0_90_90 = e0
% 48.00/17.22  																										|
% 48.00/17.22  																											| Equations (758) can reduce 762 to:
% 48.00/17.22  																											| (311) $false
% 48.00/17.22  																											|
% 48.00/17.22  																											|-The branch is then unsatisfiable
% 48.00/17.22  																										|-Branch two:
% 48.00/17.22  																										| (762)  ~ (all_0_90_90 = e0)
% 48.00/17.22  																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 48.00/17.22  																										|
% 48.00/17.22  																											+-Applying beta-rule and splitting (1455), into two cases.
% 48.00/17.22  																											|-Branch one:
% 48.00/17.22  																											| (1456) all_0_91_91 = e0
% 48.00/17.22  																											|
% 48.00/17.22  																												| Equations (1456) can reduce 17 to:
% 48.00/17.22  																												| (9)  ~ (all_0_79_79 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (1456) can reduce 103 to:
% 48.00/17.22  																												| (762)  ~ (all_0_90_90 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (1456) can reduce 44 to:
% 48.00/17.22  																												| (508)  ~ (all_0_93_93 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Simplifying 508 yields:
% 48.00/17.22  																												| (509)  ~ (all_0_93_93 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (1456) can reduce 64 to:
% 48.00/17.22  																												| (2296)  ~ (all_0_96_96 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Simplifying 2296 yields:
% 48.00/17.22  																												| (2095)  ~ (all_0_96_96 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (1456) can reduce 133 to:
% 48.00/17.22  																												| (904)  ~ (e4 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Simplifying 904 yields:
% 48.00/17.22  																												| (23)  ~ (e4 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Equations (1456) can reduce 296 to:
% 48.00/17.22  																												| (510)  ~ (e2 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| Simplifying 510 yields:
% 48.00/17.22  																												| (76)  ~ (e2 = e0)
% 48.00/17.22  																												|
% 48.00/17.22  																												| From (1456) and (222) follows:
% 48.00/17.22  																												| (8259) op(e2, e0) = all_0_56_56
% 48.00/17.22  																												|
% 48.00/17.22  																												| Instantiating formula (262) with e2, e0, all_0_56_56, e2 and discharging atoms op(e2, e0) = all_0_56_56, op(e2, e0) = e2, yields:
% 48.00/17.22  																												| (8110) all_0_56_56 = e2
% 48.00/17.22  																												|
% 48.00/17.22  																												+-Applying beta-rule and splitting (127), into two cases.
% 48.00/17.22  																												|-Branch one:
% 48.00/17.22  																												| (457) all_0_79_79 = e1
% 48.00/17.22  																												|
% 48.00/17.22  																													| Equations (457) can reduce 63 to:
% 48.00/17.22  																													| (1665)  ~ (all_0_80_80 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Simplifying 1665 yields:
% 48.00/17.22  																													| (828)  ~ (all_0_80_80 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Equations (457) can reduce 15 to:
% 48.00/17.22  																													| (1667)  ~ (all_0_81_81 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Simplifying 1667 yields:
% 48.00/17.22  																													| (628)  ~ (all_0_81_81 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Equations (457) can reduce 214 to:
% 48.00/17.22  																													| (1671)  ~ (all_0_96_96 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Simplifying 1671 yields:
% 48.00/17.22  																													| (1479)  ~ (all_0_96_96 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Equations (457) can reduce 1622 to:
% 48.00/17.22  																													| (487)  ~ (e2 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Simplifying 487 yields:
% 48.00/17.22  																													| (243)  ~ (e2 = e1)
% 48.00/17.22  																													|
% 48.00/17.22  																													| Equations (457) can reduce 9 to:
% 48.00/17.22  																													| (264)  ~ (e1 = e0)
% 48.00/17.22  																													|
% 48.00/17.22  																													+-Applying beta-rule and splitting (84), into two cases.
% 48.00/17.22  																													|-Branch one:
% 48.00/17.22  																													| (1704) all_0_96_96 = e2
% 48.00/17.22  																													|
% 48.00/17.22  																														| Equations (1704) can reduce 1638 to:
% 48.00/17.22  																														| (311) $false
% 48.00/17.22  																														|
% 48.00/17.22  																														|-The branch is then unsatisfiable
% 48.00/17.22  																													|-Branch two:
% 48.00/17.22  																													| (1638)  ~ (all_0_96_96 = e2)
% 48.00/17.22  																													| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 48.00/17.22  																													|
% 48.00/17.22  																														+-Applying beta-rule and splitting (1707), into two cases.
% 48.00/17.22  																														|-Branch one:
% 48.00/17.22  																														| (960) all_0_96_96 = e1
% 48.00/17.22  																														|
% 48.00/17.22  																															| Equations (960) can reduce 1479 to:
% 48.00/17.22  																															| (311) $false
% 48.00/17.22  																															|
% 48.00/17.22  																															|-The branch is then unsatisfiable
% 48.00/17.22  																														|-Branch two:
% 48.00/17.22  																														| (1479)  ~ (all_0_96_96 = e1)
% 48.00/17.22  																														| (2016) all_0_96_96 = e3 | all_0_96_96 = e0
% 48.00/17.22  																														|
% 48.00/17.22  																															+-Applying beta-rule and splitting (2016), into two cases.
% 48.00/17.22  																															|-Branch one:
% 48.00/17.22  																															| (778) all_0_96_96 = e3
% 48.00/17.22  																															|
% 48.00/17.22  																																| Equations (778) can reduce 279 to:
% 48.00/17.22  																																| (765)  ~ (all_0_95_95 = e3)
% 48.00/17.22  																																|
% 48.00/17.22  																																| Equations (778) can reduce 115 to:
% 48.00/17.22  																																| (783)  ~ (e4 = e3)
% 48.00/17.22  																																|
% 48.00/17.22  																																| Simplifying 783 yields:
% 48.00/17.22  																																| (177)  ~ (e4 = e3)
% 48.00/17.22  																																|
% 48.00/17.22  																																| Equations (778) can reduce 1638 to:
% 48.00/17.22  																																| (169)  ~ (e3 = e2)
% 48.00/17.22  																																|
% 48.00/17.22  																																| Equations (778) can reduce 1479 to:
% 48.00/17.22  																																| (20)  ~ (e3 = e1)
% 48.00/17.22  																																|
% 48.00/17.23  																																| Equations (778) can reduce 2095 to:
% 48.00/17.23  																																| (50)  ~ (e3 = e0)
% 48.00/17.23  																																|
% 48.00/17.23  																																+-Applying beta-rule and splitting (109), into two cases.
% 48.00/17.23  																																|-Branch one:
% 48.00/17.23  																																| (469) all_0_82_82 = e4
% 48.00/17.23  																																|
% 48.00/17.23  																																	| Equations (469) can reduce 7 to:
% 48.00/17.23  																																	| (662)  ~ (all_0_84_84 = e4)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| Simplifying 662 yields:
% 48.00/17.23  																																	| (417)  ~ (all_0_84_84 = e4)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| Equations (469) can reduce 200 to:
% 48.00/17.23  																																	| (314)  ~ (all_0_95_95 = e4)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| Simplifying 314 yields:
% 48.00/17.23  																																	| (315)  ~ (all_0_95_95 = e4)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| Equations (469) can reduce 347 to:
% 48.00/17.23  																																	| (79)  ~ (e4 = e2)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| Equations (469) can reduce 914 to:
% 48.00/17.23  																																	| (23)  ~ (e4 = e0)
% 48.00/17.23  																																	|
% 48.00/17.23  																																	| From (469) and (61) follows:
% 48.00/17.23  																																	| (671) op(e3, e3) = e4
% 48.00/17.23  																																	|
% 48.00/17.23  																																	+-Applying beta-rule and splitting (210), into two cases.
% 48.00/17.23  																																	|-Branch one:
% 48.00/17.23  																																	| (433) all_0_80_80 = e4
% 48.00/17.23  																																	|
% 48.00/17.23  																																		| Equations (433) can reduce 144 to:
% 48.00/17.23  																																		| (1730)  ~ (all_0_81_81 = e4)
% 48.00/17.23  																																		|
% 48.00/17.23  																																		| Simplifying 1730 yields:
% 48.00/17.23  																																		| (634)  ~ (all_0_81_81 = e4)
% 48.00/17.23  																																		|
% 48.00/17.23  																																		| Equations (433) can reduce 394 to:
% 48.00/17.23  																																		| (79)  ~ (e4 = e2)
% 48.00/17.23  																																		|
% 48.00/17.23  																																		| Equations (433) can reduce 166 to:
% 48.00/17.23  																																		| (23)  ~ (e4 = e0)
% 48.00/17.23  																																		|
% 48.00/17.23  																																		+-Applying beta-rule and splitting (220), into two cases.
% 48.00/17.23  																																		|-Branch one:
% 48.00/17.23  																																		| (771) all_0_78_78 = e3
% 48.00/17.23  																																		|
% 48.00/17.23  																																			| Combining equations (400,771) yields a new equation:
% 48.00/17.23  																																			| (548) e3 = e2
% 48.00/17.23  																																			|
% 48.00/17.23  																																			| Equations (548) can reduce 169 to:
% 48.00/17.23  																																			| (311) $false
% 48.00/17.23  																																			|
% 48.00/17.23  																																			|-The branch is then unsatisfiable
% 48.00/17.23  																																		|-Branch two:
% 48.00/17.23  																																		| (418)  ~ (all_0_78_78 = e3)
% 48.00/17.23  																																		| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 48.00/17.23  																																		|
% 48.00/17.23  																																			| Equations (400) can reduce 418 to:
% 48.00/17.23  																																			| (356)  ~ (e3 = e2)
% 48.00/17.23  																																			|
% 48.00/17.23  																																			| Simplifying 356 yields:
% 48.00/17.23  																																			| (169)  ~ (e3 = e2)
% 48.00/17.23  																																			|
% 48.00/17.23  																																			+-Applying beta-rule and splitting (106), into two cases.
% 48.00/17.23  																																			|-Branch one:
% 48.00/17.23  																																			| (771) all_0_78_78 = e3
% 48.00/17.23  																																			|
% 48.00/17.23  																																				| Combining equations (400,771) yields a new equation:
% 48.00/17.23  																																				| (548) e3 = e2
% 48.00/17.23  																																				|
% 48.00/17.23  																																				| Equations (548) can reduce 169 to:
% 48.00/17.23  																																				| (311) $false
% 48.00/17.23  																																				|
% 48.00/17.23  																																				|-The branch is then unsatisfiable
% 48.00/17.23  																																			|-Branch two:
% 48.00/17.23  																																			| (418)  ~ (all_0_78_78 = e3)
% 48.00/17.23  																																			| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 48.00/17.23  																																			|
% 48.00/17.23  																																				+-Applying beta-rule and splitting (168), into two cases.
% 48.00/17.23  																																				|-Branch one:
% 48.00/17.23  																																				| (638) all_0_81_81 = e4
% 48.00/17.23  																																				|
% 48.00/17.23  																																					| Equations (638) can reduce 634 to:
% 48.00/17.23  																																					| (311) $false
% 48.00/17.23  																																					|
% 48.00/17.23  																																					|-The branch is then unsatisfiable
% 48.00/17.23  																																				|-Branch two:
% 48.00/17.23  																																				| (634)  ~ (all_0_81_81 = e4)
% 48.00/17.23  																																				| (2559) all_0_85_85 = e4 | all_0_93_93 = e4 | all_0_98_98 = e4
% 48.00/17.23  																																				|
% 48.00/17.23  																																					+-Applying beta-rule and splitting (140), into two cases.
% 48.00/17.23  																																					|-Branch one:
% 48.00/17.23  																																					| (313) all_0_94_94 = e4
% 48.00/17.23  																																					|
% 48.00/17.23  																																						| Combining equations (1757,313) yields a new equation:
% 48.00/17.23  																																						| (310) e4 = e2
% 48.00/17.23  																																						|
% 48.00/17.23  																																						| Equations (310) can reduce 79 to:
% 48.00/17.23  																																						| (311) $false
% 48.00/17.23  																																						|
% 48.00/17.23  																																						|-The branch is then unsatisfiable
% 48.00/17.23  																																					|-Branch two:
% 48.00/17.23  																																					| (34849)  ~ (all_0_94_94 = e4)
% 48.00/17.23  																																					| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 48.00/17.23  																																					|
% 48.00/17.23  																																						+-Applying beta-rule and splitting (1756), into two cases.
% 48.00/17.23  																																						|-Branch one:
% 48.00/17.23  																																						| (1708) all_0_79_79 = e3
% 48.00/17.23  																																						|
% 48.00/17.23  																																							| Combining equations (457,1708) yields a new equation:
% 48.00/17.23  																																							| (772) e3 = e1
% 48.00/17.23  																																							|
% 48.00/17.23  																																							| Equations (772) can reduce 20 to:
% 48.00/17.23  																																							| (311) $false
% 48.00/17.23  																																							|
% 48.00/17.23  																																							|-The branch is then unsatisfiable
% 48.00/17.23  																																						|-Branch two:
% 48.00/17.23  																																						| (1711)  ~ (all_0_79_79 = e3)
% 48.00/17.23  																																						| (1768) all_0_80_80 = e3 | all_0_81_81 = e3
% 48.00/17.23  																																						|
% 48.00/17.23  																																							+-Applying beta-rule and splitting (171), into two cases.
% 48.00/17.23  																																							|-Branch one:
% 48.00/17.23  																																							| (789) all_0_82_82 = e3
% 48.00/17.23  																																							|
% 48.00/17.23  																																								| Combining equations (469,789) yields a new equation:
% 48.00/17.23  																																								| (790) e4 = e3
% 48.00/17.23  																																								|
% 48.00/17.23  																																								| Simplifying 790 yields:
% 48.00/17.23  																																								| (434) e4 = e3
% 48.00/17.23  																																								|
% 48.00/17.23  																																								| Equations (434) can reduce 177 to:
% 48.00/17.23  																																								| (311) $false
% 48.00/17.23  																																								|
% 48.00/17.23  																																								|-The branch is then unsatisfiable
% 48.00/17.23  																																							|-Branch two:
% 48.00/17.23  																																							| (793)  ~ (all_0_82_82 = e3)
% 48.00/17.23  																																							| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 48.00/17.23  																																							|
% 48.00/17.23  																																								| Equations (469) can reduce 793 to:
% 48.00/17.23  																																								| (177)  ~ (e4 = e3)
% 48.00/17.23  																																								|
% 48.00/17.23  																																								+-Applying beta-rule and splitting (775), into two cases.
% 48.00/17.23  																																								|-Branch one:
% 48.00/17.23  																																								| (789) all_0_82_82 = e3
% 48.00/17.23  																																								|
% 48.00/17.23  																																									| Combining equations (469,789) yields a new equation:
% 48.00/17.23  																																									| (790) e4 = e3
% 48.00/17.23  																																									|
% 48.00/17.23  																																									| Simplifying 790 yields:
% 48.00/17.23  																																									| (434) e4 = e3
% 48.00/17.23  																																									|
% 48.00/17.23  																																									| Equations (434) can reduce 177 to:
% 48.00/17.23  																																									| (311) $false
% 48.00/17.23  																																									|
% 48.00/17.23  																																									|-The branch is then unsatisfiable
% 48.00/17.23  																																								|-Branch two:
% 48.00/17.23  																																								| (793)  ~ (all_0_82_82 = e3)
% 48.00/17.23  																																								| (794) all_0_90_90 = e3 | all_0_95_95 = e3
% 48.00/17.23  																																								|
% 48.00/17.23  																																									| Equations (469) can reduce 793 to:
% 48.00/17.23  																																									| (177)  ~ (e4 = e3)
% 48.00/17.23  																																									|
% 48.00/17.23  																																									+-Applying beta-rule and splitting (99), into two cases.
% 48.00/17.23  																																									|-Branch one:
% 48.00/17.23  																																									| (767) all_0_95_95 = e2
% 48.00/17.23  																																									|
% 48.00/17.23  																																										| Equations (767) can reduce 355 to:
% 48.00/17.23  																																										| (311) $false
% 48.00/17.23  																																										|
% 48.00/17.23  																																										|-The branch is then unsatisfiable
% 48.00/17.23  																																									|-Branch two:
% 48.00/17.23  																																									| (355)  ~ (all_0_95_95 = e2)
% 48.00/17.23  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 48.00/17.23  																																									|
% 48.00/17.23  																																										+-Applying beta-rule and splitting (34850), into two cases.
% 48.00/17.23  																																										|-Branch one:
% 48.00/17.23  																																										| (894) all_0_95_95 = e4
% 48.00/17.23  																																										|
% 48.00/17.23  																																											| Equations (894) can reduce 315 to:
% 48.00/17.23  																																											| (311) $false
% 48.00/17.23  																																											|
% 48.00/17.23  																																											|-The branch is then unsatisfiable
% 48.00/17.23  																																										|-Branch two:
% 48.00/17.23  																																										| (315)  ~ (all_0_95_95 = e4)
% 48.00/17.23  																																										| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 48.00/17.23  																																										|
% 48.00/17.23  																																											+-Applying beta-rule and splitting (1768), into two cases.
% 48.00/17.23  																																											|-Branch one:
% 48.00/17.23  																																											| (416) all_0_80_80 = e3
% 48.00/17.23  																																											|
% 48.00/17.23  																																												| Combining equations (433,416) yields a new equation:
% 48.00/17.23  																																												| (790) e4 = e3
% 48.00/17.23  																																												|
% 48.00/17.23  																																												| Simplifying 790 yields:
% 48.00/17.23  																																												| (434) e4 = e3
% 48.00/17.23  																																												|
% 48.00/17.23  																																												| Equations (434) can reduce 177 to:
% 48.00/17.23  																																												| (311) $false
% 48.00/17.23  																																												|
% 48.00/17.23  																																												|-The branch is then unsatisfiable
% 48.00/17.23  																																											|-Branch two:
% 48.00/17.23  																																											| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.23  																																											| (635) all_0_81_81 = e3
% 48.00/17.23  																																											|
% 48.00/17.23  																																												| Equations (635) can reduce 396 to:
% 48.00/17.23  																																												| (169)  ~ (e3 = e2)
% 48.00/17.23  																																												|
% 48.00/17.23  																																												| Equations (635) can reduce 257 to:
% 48.00/17.23  																																												| (50)  ~ (e3 = e0)
% 48.00/17.23  																																												|
% 48.00/17.23  																																												+-Applying beta-rule and splitting (770), into two cases.
% 48.00/17.23  																																												|-Branch one:
% 48.00/17.23  																																												| (785) all_0_95_95 = e1
% 48.00/17.23  																																												|
% 48.00/17.23  																																													| Equations (785) can reduce 229 to:
% 48.00/17.23  																																													| (678)  ~ (all_0_90_90 = e1)
% 48.00/17.23  																																													|
% 48.00/17.23  																																													| Equations (785) can reduce 355 to:
% 48.00/17.23  																																													| (487)  ~ (e2 = e1)
% 48.00/17.23  																																													|
% 48.00/17.23  																																													| Simplifying 487 yields:
% 48.00/17.23  																																													| (243)  ~ (e2 = e1)
% 48.00/17.23  																																													|
% 48.00/17.23  																																													| Equations (785) can reduce 893 to:
% 48.00/17.23  																																													| (264)  ~ (e1 = e0)
% 48.00/17.23  																																													|
% 48.00/17.23  																																													| From (785) and (121) follows:
% 48.00/17.23  																																													| (29593) op(e3, e1) = all_0_50_50
% 48.00/17.23  																																													|
% 48.00/17.23  																																													+-Applying beta-rule and splitting (1296), into two cases.
% 48.00/17.23  																																													|-Branch one:
% 48.00/17.23  																																													| (795) all_0_83_83 = e3
% 48.00/17.23  																																													|
% 48.00/17.23  																																														| Combining equations (453,795) yields a new equation:
% 48.00/17.23  																																														| (548) e3 = e2
% 48.00/17.23  																																														|
% 48.00/17.23  																																														| Equations (548) can reduce 169 to:
% 48.00/17.23  																																														| (311) $false
% 48.00/17.23  																																														|
% 48.00/17.23  																																														|-The branch is then unsatisfiable
% 48.00/17.23  																																													|-Branch two:
% 48.00/17.23  																																													| (779)  ~ (all_0_83_83 = e3)
% 48.00/17.23  																																													| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 48.00/17.23  																																													|
% 48.00/17.23  																																														+-Applying beta-rule and splitting (1594), into two cases.
% 48.00/17.23  																																														|-Branch one:
% 48.00/17.23  																																														| (1265) all_0_84_84 = e3
% 48.00/17.23  																																														|
% 48.00/17.23  																																															| Equations (1265) can reduce 259 to:
% 48.00/17.23  																																															| (20)  ~ (e3 = e1)
% 48.00/17.23  																																															|
% 48.00/17.23  																																															| From (1265) and (232) follows:
% 48.00/17.23  																																															| (10098) op(e3, e1) = e3
% 48.00/17.23  																																															|
% 48.00/17.23  																																															+-Applying beta-rule and splitting (108), into two cases.
% 48.00/17.23  																																															|-Branch one:
% 48.00/17.23  																																															| (477) all_0_81_81 = e1
% 48.00/17.23  																																															|
% 48.00/17.23  																																																| Combining equations (635,477) yields a new equation:
% 48.00/17.23  																																																| (825) e3 = e1
% 48.00/17.23  																																																|
% 48.00/17.23  																																																| Simplifying 825 yields:
% 48.00/17.23  																																																| (772) e3 = e1
% 48.00/17.23  																																																|
% 48.00/17.23  																																																| Equations (772) can reduce 20 to:
% 48.00/17.23  																																																| (311) $false
% 48.00/17.23  																																																|
% 48.00/17.23  																																																|-The branch is then unsatisfiable
% 48.00/17.23  																																															|-Branch two:
% 48.00/17.23  																																															| (628)  ~ (all_0_81_81 = e1)
% 48.00/17.23  																																															| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 48.00/17.23  																																															|
% 48.00/17.23  																																																| Equations (635) can reduce 628 to:
% 48.00/17.23  																																																| (20)  ~ (e3 = e1)
% 48.00/17.23  																																																|
% 48.00/17.23  																																																+-Applying beta-rule and splitting (48), into two cases.
% 48.00/17.23  																																																|-Branch one:
% 48.00/17.23  																																																| (525) all_0_98_98 = e2
% 48.00/17.23  																																																|
% 48.00/17.23  																																																	| Equations (525) can reduce 1349 to:
% 48.00/17.23  																																																	| (311) $false
% 48.00/17.23  																																																	|
% 48.00/17.23  																																																	|-The branch is then unsatisfiable
% 48.00/17.23  																																																|-Branch two:
% 48.00/17.23  																																																| (1349)  ~ (all_0_98_98 = e2)
% 48.00/17.23  																																																| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 48.00/17.23  																																																|
% 48.00/17.23  																																																	+-Applying beta-rule and splitting (132), into two cases.
% 48.00/17.23  																																																	|-Branch one:
% 48.00/17.23  																																																	| (750) all_0_90_90 = e1
% 48.00/17.23  																																																	|
% 48.00/17.23  																																																		| Equations (750) can reduce 678 to:
% 48.00/17.23  																																																		| (311) $false
% 48.00/17.23  																																																		|
% 48.00/17.23  																																																		|-The branch is then unsatisfiable
% 48.00/17.23  																																																	|-Branch two:
% 48.00/17.23  																																																	| (678)  ~ (all_0_90_90 = e1)
% 48.00/17.23  																																																	| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 48.00/17.23  																																																	|
% 48.00/17.23  																																																		+-Applying beta-rule and splitting (282), into two cases.
% 48.00/17.23  																																																		|-Branch one:
% 48.00/17.23  																																																		| (754) all_0_90_90 = e3
% 48.00/17.23  																																																		|
% 48.00/17.23  																																																			| Equations (754) can reduce 762 to:
% 48.00/17.23  																																																			| (50)  ~ (e3 = e0)
% 48.00/17.23  																																																			|
% 48.00/17.23  																																																			| From (754) and (217) follows:
% 48.00/17.23  																																																			| (46747) op(e3, e3) = all_0_48_48
% 48.00/17.23  																																																			|
% 48.00/17.23  																																																			+-Applying beta-rule and splitting (1526), into two cases.
% 48.00/17.23  																																																			|-Branch one:
% 48.00/17.23  																																																			| (801) all_0_91_91 = e1
% 48.00/17.23  																																																			|
% 48.00/17.24  																																																				| Combining equations (1456,801) yields a new equation:
% 48.00/17.24  																																																				| (865) e1 = e0
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				| Equations (865) can reduce 264 to:
% 48.00/17.24  																																																				| (311) $false
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				|-The branch is then unsatisfiable
% 48.00/17.24  																																																			|-Branch two:
% 48.00/17.24  																																																			| (959)  ~ (all_0_91_91 = e1)
% 48.00/17.24  																																																			| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 48.00/17.24  																																																			|
% 48.00/17.24  																																																				+-Applying beta-rule and splitting (1556), into two cases.
% 48.00/17.24  																																																				|-Branch one:
% 48.00/17.24  																																																				| (836) all_0_92_92 = e1
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																					| Combining equations (1343,836) yields a new equation:
% 48.00/17.24  																																																					| (408) e2 = e1
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																					| Simplifying 408 yields:
% 48.00/17.24  																																																					| (385) e2 = e1
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																					| Equations (385) can reduce 243 to:
% 48.00/17.24  																																																					| (311) $false
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																					|-The branch is then unsatisfiable
% 48.00/17.24  																																																				|-Branch two:
% 48.00/17.24  																																																				| (840)  ~ (all_0_92_92 = e1)
% 48.00/17.24  																																																				| (566) all_0_93_93 = e1
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																					| Equations (566) can reduce 13 to:
% 48.00/17.24  																																																					| (1803)  ~ (all_0_98_98 = e1)
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																					| Simplifying 1803 yields:
% 48.00/17.24  																																																					| (1804)  ~ (all_0_98_98 = e1)
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																					+-Applying beta-rule and splitting (5118), into two cases.
% 48.00/17.24  																																																					|-Branch one:
% 48.00/17.24  																																																					| (1543) all_0_98_98 = e1
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																						| Equations (1543) can reduce 1804 to:
% 48.00/17.24  																																																						| (311) $false
% 48.00/17.24  																																																						|
% 48.00/17.24  																																																						|-The branch is then unsatisfiable
% 48.00/17.24  																																																					|-Branch two:
% 48.00/17.24  																																																					| (1804)  ~ (all_0_98_98 = e1)
% 48.00/17.24  																																																					| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 48.00/17.24  																																																					|
% 48.00/17.24  																																																						+-Applying beta-rule and splitting (2559), into two cases.
% 48.00/17.24  																																																						|-Branch one:
% 48.00/17.24  																																																						| (493) all_0_85_85 = e4
% 48.00/17.24  																																																						|
% 48.00/17.24  																																																							| Combining equations (954,493) yields a new equation:
% 48.00/17.24  																																																							| (912) e4 = e0
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																							| Equations (912) can reduce 23 to:
% 48.00/17.24  																																																							| (311) $false
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																							|-The branch is then unsatisfiable
% 48.00/17.24  																																																						|-Branch two:
% 48.00/17.24  																																																						| (648)  ~ (all_0_85_85 = e4)
% 48.00/17.24  																																																						| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 48.00/17.24  																																																						|
% 48.00/17.24  																																																							| Equations (954) can reduce 648 to:
% 48.00/17.24  																																																							| (904)  ~ (e4 = e0)
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																							| Simplifying 904 yields:
% 48.00/17.24  																																																							| (23)  ~ (e4 = e0)
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																							+-Applying beta-rule and splitting (34882), into two cases.
% 48.00/17.24  																																																							|-Branch one:
% 48.00/17.24  																																																							| (610) all_0_97_97 = e4
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																								| Combining equations (610,560) yields a new equation:
% 48.00/17.24  																																																								| (911) e4 = e0
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								| Simplifying 911 yields:
% 48.00/17.24  																																																								| (912) e4 = e0
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								| Equations (912) can reduce 23 to:
% 48.00/17.24  																																																								| (311) $false
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								|-The branch is then unsatisfiable
% 48.00/17.24  																																																							|-Branch two:
% 48.00/17.24  																																																							| (319)  ~ (all_0_97_97 = e4)
% 48.00/17.24  																																																							| (2650) all_0_98_98 = e4
% 48.00/17.24  																																																							|
% 48.00/17.24  																																																								| Equations (2650) can reduce 1349 to:
% 48.00/17.24  																																																								| (79)  ~ (e4 = e2)
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								| Equations (2650) can reduce 1804 to:
% 48.00/17.24  																																																								| (256)  ~ (e4 = e1)
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								| Instantiating formula (262) with e3, e3, e4, all_0_48_48 and discharging atoms op(e3, e3) = all_0_48_48, op(e3, e3) = e4, yields:
% 48.00/17.24  																																																								| (13902) all_0_48_48 = e4
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								| Instantiating formula (262) with e3, e1, e3, all_0_50_50 and discharging atoms op(e3, e1) = all_0_50_50, op(e3, e1) = e3, yields:
% 48.00/17.24  																																																								| (46781) all_0_50_50 = e3
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																								+-Applying beta-rule and splitting (186), into two cases.
% 48.00/17.24  																																																								|-Branch one:
% 48.00/17.24  																																																								| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																									+-Applying beta-rule and splitting (726), into two cases.
% 48.00/17.24  																																																									|-Branch one:
% 48.00/17.24  																																																									| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																										+-Applying beta-rule and splitting (727), into two cases.
% 48.00/17.24  																																																										|-Branch one:
% 48.00/17.24  																																																										| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 48.00/17.24  																																																										|
% 48.00/17.24  																																																											| Applying alpha-rule on (728) yields:
% 48.00/17.24  																																																											| (729) all_0_43_43 = e4
% 48.00/17.24  																																																											| (730)  ~ (all_0_44_44 = e3)
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											| Combining equations (729,689) yields a new equation:
% 48.00/17.24  																																																											| (309) e4 = e2
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											| Simplifying 309 yields:
% 48.00/17.24  																																																											| (310) e4 = e2
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											| Equations (310) can reduce 79 to:
% 48.00/17.24  																																																											| (311) $false
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											|-The branch is then unsatisfiable
% 48.00/17.24  																																																										|-Branch two:
% 48.00/17.24  																																																										| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 48.00/17.24  																																																										|
% 48.00/17.24  																																																											| Applying alpha-rule on (734) yields:
% 48.00/17.24  																																																											| (735) all_0_46_46 = e2
% 48.00/17.24  																																																											| (736)  ~ (all_0_47_47 = e3)
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											| Combining equations (10066,735) yields a new equation:
% 48.00/17.24  																																																											| (379) e2 = e0
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											| Equations (379) can reduce 76 to:
% 48.00/17.24  																																																											| (311) $false
% 48.00/17.24  																																																											|
% 48.00/17.24  																																																											|-The branch is then unsatisfiable
% 48.00/17.24  																																																									|-Branch two:
% 48.00/17.24  																																																									| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																										| Applying alpha-rule on (740) yields:
% 48.00/17.24  																																																										| (741) all_0_48_48 = e1
% 48.00/17.24  																																																										| (742)  ~ (all_0_49_49 = e3)
% 48.00/17.24  																																																										|
% 48.00/17.24  																																																										| Combining equations (741,13902) yields a new equation:
% 48.00/17.24  																																																										| (814) e4 = e1
% 48.00/17.24  																																																										|
% 48.00/17.24  																																																										| Equations (814) can reduce 256 to:
% 48.00/17.24  																																																										| (311) $false
% 48.00/17.24  																																																										|
% 48.00/17.24  																																																										|-The branch is then unsatisfiable
% 48.00/17.24  																																																								|-Branch two:
% 48.00/17.24  																																																								| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 48.00/17.24  																																																								|
% 48.00/17.24  																																																									| Applying alpha-rule on (973) yields:
% 48.00/17.24  																																																									| (974) all_0_50_50 = e0
% 48.00/17.24  																																																									| (975)  ~ (all_0_51_51 = e3)
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																									| Combining equations (46781,974) yields a new equation:
% 48.00/17.24  																																																									| (599) e3 = e0
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																									| Simplifying 599 yields:
% 48.00/17.24  																																																									| (600) e3 = e0
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																									| Equations (600) can reduce 50 to:
% 48.00/17.24  																																																									| (311) $false
% 48.00/17.24  																																																									|
% 48.00/17.24  																																																									|-The branch is then unsatisfiable
% 48.00/17.24  																																																		|-Branch two:
% 48.00/17.24  																																																		| (745)  ~ (all_0_90_90 = e3)
% 48.00/17.24  																																																		| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 48.00/17.24  																																																		|
% 48.00/17.24  																																																			+-Applying beta-rule and splitting (794), into two cases.
% 48.00/17.24  																																																			|-Branch one:
% 48.00/17.24  																																																			| (754) all_0_90_90 = e3
% 48.00/17.24  																																																			|
% 48.00/17.24  																																																				| Equations (754) can reduce 745 to:
% 48.00/17.24  																																																				| (311) $false
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				|-The branch is then unsatisfiable
% 48.00/17.24  																																																			|-Branch two:
% 48.00/17.24  																																																			| (745)  ~ (all_0_90_90 = e3)
% 48.00/17.24  																																																			| (744) all_0_95_95 = e3
% 48.00/17.24  																																																			|
% 48.00/17.24  																																																				| Combining equations (744,785) yields a new equation:
% 48.00/17.24  																																																				| (825) e3 = e1
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				| Simplifying 825 yields:
% 48.00/17.24  																																																				| (772) e3 = e1
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				| Equations (772) can reduce 20 to:
% 48.00/17.24  																																																				| (311) $false
% 48.00/17.24  																																																				|
% 48.00/17.24  																																																				|-The branch is then unsatisfiable
% 48.00/17.24  																																														|-Branch two:
% 48.00/17.24  																																														| (422)  ~ (all_0_84_84 = e3)
% 48.00/17.24  																																														| (804) all_0_85_85 = e3
% 48.00/17.24  																																														|
% 48.00/17.24  																																															| Combining equations (804,954) yields a new equation:
% 48.00/17.24  																																															| (599) e3 = e0
% 48.00/17.24  																																															|
% 48.00/17.24  																																															| Simplifying 599 yields:
% 48.00/17.24  																																															| (600) e3 = e0
% 48.00/17.24  																																															|
% 48.00/17.24  																																															| Equations (600) can reduce 50 to:
% 48.00/17.24  																																															| (311) $false
% 48.00/17.24  																																															|
% 48.00/17.24  																																															|-The branch is then unsatisfiable
% 48.00/17.24  																																												|-Branch two:
% 48.00/17.24  																																												| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.24  																																												| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 48.00/17.24  																																												|
% 48.00/17.24  																																													+-Applying beta-rule and splitting (2559), into two cases.
% 48.00/17.24  																																													|-Branch one:
% 48.00/17.24  																																													| (493) all_0_85_85 = e4
% 48.00/17.24  																																													|
% 48.00/17.24  																																														| Combining equations (954,493) yields a new equation:
% 48.00/17.24  																																														| (912) e4 = e0
% 48.00/17.24  																																														|
% 48.00/17.24  																																														| Equations (912) can reduce 23 to:
% 48.00/17.24  																																														| (311) $false
% 48.00/17.24  																																														|
% 48.00/17.24  																																														|-The branch is then unsatisfiable
% 48.00/17.24  																																													|-Branch two:
% 48.00/17.24  																																													| (648)  ~ (all_0_85_85 = e4)
% 48.00/17.24  																																													| (2576) all_0_93_93 = e4 | all_0_98_98 = e4
% 48.00/17.24  																																													|
% 48.00/17.24  																																														| Equations (954) can reduce 648 to:
% 48.00/17.24  																																														| (904)  ~ (e4 = e0)
% 48.00/17.24  																																														|
% 48.00/17.24  																																														| Simplifying 904 yields:
% 48.00/17.24  																																														| (23)  ~ (e4 = e0)
% 48.00/17.24  																																														|
% 48.00/17.25  																																														+-Applying beta-rule and splitting (34882), into two cases.
% 48.00/17.25  																																														|-Branch one:
% 48.00/17.25  																																														| (610) all_0_97_97 = e4
% 48.00/17.25  																																														|
% 48.00/17.25  																																															| Combining equations (560,610) yields a new equation:
% 48.00/17.25  																																															| (912) e4 = e0
% 48.00/17.25  																																															|
% 48.00/17.25  																																															| Equations (912) can reduce 23 to:
% 48.00/17.25  																																															| (311) $false
% 48.00/17.25  																																															|
% 48.00/17.25  																																															|-The branch is then unsatisfiable
% 48.00/17.25  																																														|-Branch two:
% 48.00/17.25  																																														| (319)  ~ (all_0_97_97 = e4)
% 48.00/17.25  																																														| (2650) all_0_98_98 = e4
% 48.00/17.25  																																														|
% 48.00/17.25  																																															| Equations (2650) can reduce 107 to:
% 48.00/17.25  																																															| (315)  ~ (all_0_95_95 = e4)
% 48.00/17.25  																																															|
% 48.00/17.25  																																															+-Applying beta-rule and splitting (853), into two cases.
% 48.00/17.25  																																															|-Branch one:
% 48.00/17.25  																																															| (744) all_0_95_95 = e3
% 48.00/17.25  																																															|
% 48.00/17.25  																																																| Equations (744) can reduce 765 to:
% 48.00/17.25  																																																| (311) $false
% 48.00/17.25  																																																|
% 48.00/17.25  																																																|-The branch is then unsatisfiable
% 48.00/17.25  																																															|-Branch two:
% 48.00/17.25  																																															| (765)  ~ (all_0_95_95 = e3)
% 48.00/17.25  																																															| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 48.00/17.25  																																															|
% 48.00/17.25  																																																+-Applying beta-rule and splitting (857), into two cases.
% 48.00/17.25  																																																|-Branch one:
% 48.00/17.25  																																																| (858) all_0_95_95 = e0
% 48.00/17.25  																																																|
% 48.00/17.25  																																																	| Equations (858) can reduce 893 to:
% 48.00/17.25  																																																	| (311) $false
% 48.00/17.25  																																																	|
% 48.00/17.25  																																																	|-The branch is then unsatisfiable
% 48.00/17.25  																																																|-Branch two:
% 48.00/17.25  																																																| (893)  ~ (all_0_95_95 = e0)
% 48.00/17.25  																																																| (894) all_0_95_95 = e4
% 48.00/17.25  																																																|
% 48.00/17.25  																																																	| Equations (894) can reduce 315 to:
% 48.00/17.25  																																																	| (311) $false
% 48.00/17.25  																																																	|
% 48.00/17.25  																																																	|-The branch is then unsatisfiable
% 48.00/17.25  																																	|-Branch two:
% 48.00/17.25  																																	| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.25  																																	| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 48.00/17.25  																																	|
% 48.00/17.25  																																		+-Applying beta-rule and splitting (140), into two cases.
% 48.00/17.25  																																		|-Branch one:
% 48.00/17.25  																																		| (313) all_0_94_94 = e4
% 48.00/17.25  																																		|
% 48.00/17.25  																																			| Combining equations (313,1757) yields a new equation:
% 48.00/17.25  																																			| (309) e4 = e2
% 48.00/17.25  																																			|
% 48.00/17.25  																																			| Simplifying 309 yields:
% 48.00/17.25  																																			| (310) e4 = e2
% 48.00/17.25  																																			|
% 48.00/17.25  																																			| Equations (310) can reduce 79 to:
% 48.00/17.25  																																			| (311) $false
% 48.00/17.25  																																			|
% 48.00/17.25  																																			|-The branch is then unsatisfiable
% 48.00/17.25  																																		|-Branch two:
% 48.00/17.25  																																		| (34849)  ~ (all_0_94_94 = e4)
% 48.00/17.25  																																		| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 48.00/17.25  																																		|
% 48.00/17.25  																																			| Equations (1757) can reduce 34849 to:
% 48.00/17.25  																																			| (528)  ~ (e4 = e2)
% 48.00/17.25  																																			|
% 48.00/17.25  																																			| Simplifying 528 yields:
% 48.00/17.25  																																			| (79)  ~ (e4 = e2)
% 48.00/17.25  																																			|
% 48.00/17.25  																																			+-Applying beta-rule and splitting (437), into two cases.
% 48.00/17.25  																																			|-Branch one:
% 48.00/17.25  																																			| (438) all_0_84_84 = e4
% 48.00/17.25  																																			|
% 48.00/17.25  																																				| Equations (438) can reduce 417 to:
% 48.00/17.25  																																				| (311) $false
% 48.00/17.25  																																				|
% 48.00/17.25  																																				|-The branch is then unsatisfiable
% 48.00/17.25  																																			|-Branch two:
% 48.00/17.25  																																			| (417)  ~ (all_0_84_84 = e4)
% 48.00/17.25  																																			| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 48.00/17.25  																																			|
% 48.00/17.25  																																				+-Applying beta-rule and splitting (441), into two cases.
% 48.00/17.25  																																				|-Branch one:
% 48.00/17.25  																																				| (442) all_0_92_92 = e4
% 48.00/17.25  																																				|
% 48.00/17.25  																																					| Combining equations (1343,442) yields a new equation:
% 48.00/17.25  																																					| (310) e4 = e2
% 48.00/17.25  																																					|
% 48.00/17.25  																																					| Equations (310) can reduce 79 to:
% 48.00/17.25  																																					| (311) $false
% 48.00/17.25  																																					|
% 48.00/17.25  																																					|-The branch is then unsatisfiable
% 48.00/17.25  																																				|-Branch two:
% 48.00/17.25  																																				| (1619)  ~ (all_0_92_92 = e4)
% 48.00/17.25  																																				| (610) all_0_97_97 = e4
% 48.00/17.25  																																				|
% 48.00/17.25  																																					| Combining equations (560,610) yields a new equation:
% 48.00/17.25  																																					| (912) e4 = e0
% 48.00/17.25  																																					|
% 48.00/17.25  																																					| Equations (912) can reduce 23 to:
% 48.00/17.25  																																					| (311) $false
% 48.00/17.25  																																					|
% 48.00/17.25  																																					|-The branch is then unsatisfiable
% 48.00/17.25  																																|-Branch two:
% 48.00/17.25  																																| (465)  ~ (all_0_82_82 = e4)
% 48.00/17.25  																																| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 48.00/17.25  																																|
% 48.00/17.25  																																	+-Applying beta-rule and splitting (472), into two cases.
% 48.00/17.25  																																	|-Branch one:
% 48.00/17.25  																																	| (438) all_0_84_84 = e4
% 48.00/17.25  																																	|
% 48.00/17.25  																																		| Equations (438) can reduce 273 to:
% 48.00/17.25  																																		| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.25  																																		|
% 48.00/17.25  																																		| Equations (438) can reduce 7 to:
% 48.00/17.25  																																		| (465)  ~ (all_0_82_82 = e4)
% 48.00/17.25  																																		|
% 48.00/17.25  																																		| From (438) and (150) follows:
% 48.00/17.25  																																		| (10441) op(e3, e4) = all_0_63_63
% 48.00/17.25  																																		|
% 48.00/17.25  																																		| From (438) and (232) follows:
% 48.00/17.25  																																		| (46871) op(e3, e1) = e4
% 48.00/17.25  																																		|
% 48.00/17.25  																																		+-Applying beta-rule and splitting (45), into two cases.
% 48.00/17.25  																																		|-Branch one:
% 48.00/17.25  																																		| (546) all_0_80_80 = e2
% 48.00/17.25  																																		|
% 48.00/17.25  																																			| Equations (546) can reduce 394 to:
% 48.00/17.25  																																			| (311) $false
% 48.00/17.25  																																			|
% 48.00/17.25  																																			|-The branch is then unsatisfiable
% 48.00/17.25  																																		|-Branch two:
% 48.00/17.25  																																		| (394)  ~ (all_0_80_80 = e2)
% 48.00/17.25  																																		| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 48.00/17.25  																																		|
% 48.00/17.25  																																			+-Applying beta-rule and splitting (171), into two cases.
% 48.00/17.25  																																			|-Branch one:
% 48.00/17.25  																																			| (789) all_0_82_82 = e3
% 48.00/17.25  																																			|
% 48.00/17.25  																																				| Equations (789) can reduce 255 to:
% 48.00/17.25  																																				| (1815)  ~ (all_0_90_90 = e3)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				| Simplifying 1815 yields:
% 48.00/17.25  																																				| (745)  ~ (all_0_90_90 = e3)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				| Equations (789) can reduce 465 to:
% 48.00/17.25  																																				| (783)  ~ (e4 = e3)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				| Simplifying 783 yields:
% 48.00/17.25  																																				| (177)  ~ (e4 = e3)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				| Equations (789) can reduce 347 to:
% 48.00/17.25  																																				| (169)  ~ (e3 = e2)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				| Equations (789) can reduce 914 to:
% 48.00/17.25  																																				| (50)  ~ (e3 = e0)
% 48.00/17.25  																																				|
% 48.00/17.25  																																				+-Applying beta-rule and splitting (282), into two cases.
% 48.00/17.25  																																				|-Branch one:
% 48.00/17.25  																																				| (754) all_0_90_90 = e3
% 48.00/17.25  																																				|
% 48.00/17.25  																																					| Equations (754) can reduce 745 to:
% 48.00/17.25  																																					| (311) $false
% 48.00/17.25  																																					|
% 48.00/17.25  																																					|-The branch is then unsatisfiable
% 48.00/17.25  																																				|-Branch two:
% 48.00/17.25  																																				| (745)  ~ (all_0_90_90 = e3)
% 48.00/17.25  																																				| (849) all_0_91_91 = e3 | all_0_92_92 = e3 | all_0_93_93 = e3
% 48.00/17.25  																																				|
% 48.00/17.25  																																					+-Applying beta-rule and splitting (207), into two cases.
% 48.00/17.25  																																					|-Branch one:
% 48.00/17.25  																																					| (416) all_0_80_80 = e3
% 48.00/17.25  																																					|
% 48.00/17.25  																																						| Equations (416) can reduce 394 to:
% 48.00/17.25  																																						| (169)  ~ (e3 = e2)
% 48.00/17.25  																																						|
% 48.00/17.25  																																						| Equations (416) can reduce 828 to:
% 48.00/17.25  																																						| (20)  ~ (e3 = e1)
% 48.00/17.25  																																						|
% 48.00/17.25  																																						| Equations (416) can reduce 166 to:
% 48.00/17.25  																																						| (50)  ~ (e3 = e0)
% 48.00/17.25  																																						|
% 48.00/17.25  																																						+-Applying beta-rule and splitting (849), into two cases.
% 48.00/17.25  																																						|-Branch one:
% 48.00/17.25  																																						| (588) all_0_91_91 = e3
% 48.00/17.25  																																						|
% 48.00/17.25  																																							| Combining equations (1456,588) yields a new equation:
% 48.00/17.25  																																							| (600) e3 = e0
% 48.00/17.25  																																							|
% 48.00/17.25  																																							| Equations (600) can reduce 50 to:
% 48.00/17.25  																																							| (311) $false
% 48.00/17.25  																																							|
% 48.00/17.25  																																							|-The branch is then unsatisfiable
% 48.00/17.25  																																						|-Branch two:
% 48.00/17.25  																																						| (571)  ~ (all_0_91_91 = e3)
% 48.00/17.25  																																						| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 48.00/17.25  																																						|
% 48.00/17.25  																																							+-Applying beta-rule and splitting (881), into two cases.
% 48.00/17.25  																																							|-Branch one:
% 48.00/17.25  																																							| (882) all_0_92_92 = e3
% 48.00/17.25  																																							|
% 48.00/17.25  																																								| Combining equations (882,1343) yields a new equation:
% 48.00/17.25  																																								| (547) e3 = e2
% 48.00/17.25  																																								|
% 48.00/17.25  																																								| Simplifying 547 yields:
% 48.00/17.25  																																								| (548) e3 = e2
% 48.00/17.25  																																								|
% 48.00/17.25  																																								| Equations (548) can reduce 169 to:
% 48.00/17.25  																																								| (311) $false
% 48.00/17.25  																																								|
% 48.00/17.25  																																								|-The branch is then unsatisfiable
% 48.00/17.25  																																							|-Branch two:
% 48.00/17.25  																																							| (426)  ~ (all_0_92_92 = e3)
% 48.00/17.25  																																							| (570) all_0_93_93 = e3
% 48.00/17.25  																																							|
% 48.00/17.25  																																								| Equations (570) can reduce 277 to:
% 48.00/17.25  																																								| (420)  ~ (all_0_81_81 = e3)
% 48.00/17.25  																																								|
% 48.00/17.25  																																								| Equations (570) can reduce 34 to:
% 48.00/17.25  																																								| (745)  ~ (all_0_90_90 = e3)
% 48.00/17.25  																																								|
% 48.00/17.25  																																								| Equations (570) can reduce 496 to:
% 48.00/17.25  																																								| (783)  ~ (e4 = e3)
% 48.00/17.25  																																								|
% 48.00/17.25  																																								| Simplifying 783 yields:
% 48.00/17.25  																																								| (177)  ~ (e4 = e3)
% 48.00/17.25  																																								|
% 48.00/17.25  																																								+-Applying beta-rule and splitting (132), into two cases.
% 48.00/17.25  																																								|-Branch one:
% 48.00/17.25  																																								| (750) all_0_90_90 = e1
% 48.00/17.25  																																								|
% 48.00/17.25  																																									| Equations (750) can reduce 229 to:
% 48.00/17.25  																																									| (679)  ~ (all_0_95_95 = e1)
% 48.00/17.25  																																									|
% 48.00/17.25  																																									| Simplifying 679 yields:
% 48.00/17.25  																																									| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.25  																																									|
% 48.00/17.25  																																									| Equations (750) can reduce 745 to:
% 48.00/17.25  																																									| (683)  ~ (e3 = e1)
% 48.00/17.25  																																									|
% 48.00/17.25  																																									| Simplifying 683 yields:
% 48.00/17.25  																																									| (20)  ~ (e3 = e1)
% 48.00/17.25  																																									|
% 48.00/17.26  																																									| Equations (750) can reduce 762 to:
% 48.00/17.26  																																									| (264)  ~ (e1 = e0)
% 48.00/17.26  																																									|
% 48.00/17.26  																																									| From (750) and (217) follows:
% 48.00/17.26  																																									| (10289) op(e3, e1) = all_0_48_48
% 48.00/17.26  																																									|
% 48.00/17.26  																																									+-Applying beta-rule and splitting (99), into two cases.
% 48.00/17.26  																																									|-Branch one:
% 48.00/17.26  																																									| (767) all_0_95_95 = e2
% 48.00/17.26  																																									|
% 48.00/17.26  																																										| Equations (767) can reduce 355 to:
% 48.00/17.26  																																										| (311) $false
% 48.00/17.26  																																										|
% 48.00/17.26  																																										|-The branch is then unsatisfiable
% 48.00/17.26  																																									|-Branch two:
% 48.00/17.26  																																									| (355)  ~ (all_0_95_95 = e2)
% 48.00/17.26  																																									| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 48.00/17.26  																																									|
% 48.00/17.26  																																										+-Applying beta-rule and splitting (176), into two cases.
% 48.00/17.26  																																										|-Branch one:
% 48.00/17.26  																																										| (785) all_0_95_95 = e1
% 48.00/17.26  																																										|
% 48.00/17.26  																																											| Equations (785) can reduce 680 to:
% 48.00/17.26  																																											| (311) $false
% 48.00/17.26  																																											|
% 48.00/17.26  																																											|-The branch is then unsatisfiable
% 48.00/17.26  																																										|-Branch two:
% 48.00/17.26  																																										| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.26  																																										| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 48.00/17.26  																																										|
% 48.00/17.26  																																											+-Applying beta-rule and splitting (123), into two cases.
% 48.00/17.26  																																											|-Branch one:
% 48.00/17.26  																																											| (473) all_0_81_81 = e2
% 48.00/17.26  																																											|
% 48.00/17.26  																																												| Equations (473) can reduce 396 to:
% 48.00/17.26  																																												| (311) $false
% 48.00/17.26  																																												|
% 48.00/17.26  																																												|-The branch is then unsatisfiable
% 48.00/17.26  																																											|-Branch two:
% 48.00/17.26  																																											| (396)  ~ (all_0_81_81 = e2)
% 48.00/17.26  																																											| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 48.00/17.26  																																											|
% 48.00/17.26  																																												+-Applying beta-rule and splitting (641), into two cases.
% 48.00/17.26  																																												|-Branch one:
% 48.00/17.26  																																												| (433) all_0_80_80 = e4
% 48.00/17.26  																																												|
% 48.00/17.26  																																													| Combining equations (416,433) yields a new equation:
% 48.00/17.26  																																													| (434) e4 = e3
% 48.00/17.26  																																													|
% 48.00/17.26  																																													| Equations (434) can reduce 177 to:
% 48.00/17.26  																																													| (311) $false
% 48.00/17.26  																																													|
% 48.00/17.26  																																													|-The branch is then unsatisfiable
% 48.00/17.26  																																												|-Branch two:
% 48.00/17.26  																																												| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.26  																																												| (638) all_0_81_81 = e4
% 48.00/17.26  																																												|
% 48.00/17.26  																																													| Equations (638) can reduce 5 to:
% 48.00/17.26  																																													| (320)  ~ (all_0_98_98 = e4)
% 48.00/17.26  																																													|
% 48.00/17.26  																																													| Simplifying 320 yields:
% 48.00/17.26  																																													| (321)  ~ (all_0_98_98 = e4)
% 48.00/17.26  																																													|
% 48.00/17.26  																																													| Equations (638) can reduce 420 to:
% 48.00/17.26  																																													| (177)  ~ (e4 = e3)
% 48.00/17.26  																																													|
% 48.00/17.26  																																													| Equations (638) can reduce 396 to:
% 48.00/17.26  																																													| (79)  ~ (e4 = e2)
% 48.00/17.26  																																													|
% 48.00/17.26  																																													+-Applying beta-rule and splitting (140), into two cases.
% 48.00/17.26  																																													|-Branch one:
% 48.00/17.26  																																													| (313) all_0_94_94 = e4
% 48.00/17.26  																																													|
% 48.00/17.26  																																														| Combining equations (1757,313) yields a new equation:
% 48.00/17.26  																																														| (310) e4 = e2
% 48.00/17.26  																																														|
% 48.00/17.26  																																														| Equations (310) can reduce 79 to:
% 48.00/17.26  																																														| (311) $false
% 48.00/17.26  																																														|
% 48.00/17.26  																																														|-The branch is then unsatisfiable
% 48.00/17.26  																																													|-Branch two:
% 48.00/17.26  																																													| (34849)  ~ (all_0_94_94 = e4)
% 48.00/17.26  																																													| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 48.00/17.26  																																													|
% 48.00/17.26  																																														| Equations (1757) can reduce 34849 to:
% 48.00/17.26  																																														| (528)  ~ (e4 = e2)
% 48.00/17.26  																																														|
% 48.00/17.26  																																														| Simplifying 528 yields:
% 48.00/17.26  																																														| (79)  ~ (e4 = e2)
% 48.00/17.26  																																														|
% 48.00/17.26  																																														+-Applying beta-rule and splitting (4), into two cases.
% 48.00/17.26  																																														|-Branch one:
% 48.00/17.26  																																														| (463) all_0_78_78 = e4
% 48.00/17.26  																																														|
% 48.00/17.26  																																															| Combining equations (463,400) yields a new equation:
% 48.00/17.26  																																															| (309) e4 = e2
% 48.00/17.26  																																															|
% 48.00/17.26  																																															| Simplifying 309 yields:
% 48.00/17.26  																																															| (310) e4 = e2
% 48.00/17.26  																																															|
% 48.00/17.26  																																															| Equations (310) can reduce 79 to:
% 48.00/17.26  																																															| (311) $false
% 48.00/17.26  																																															|
% 48.00/17.26  																																															|-The branch is then unsatisfiable
% 48.00/17.26  																																														|-Branch two:
% 48.00/17.26  																																														| (640)  ~ (all_0_78_78 = e4)
% 48.00/17.26  																																														| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 48.00/17.26  																																														|
% 48.00/17.26  																																															+-Applying beta-rule and splitting (48), into two cases.
% 48.00/17.26  																																															|-Branch one:
% 48.00/17.26  																																															| (525) all_0_98_98 = e2
% 48.00/17.26  																																															|
% 48.00/17.26  																																																| Equations (525) can reduce 1349 to:
% 48.00/17.26  																																																| (311) $false
% 48.00/17.26  																																																|
% 48.00/17.26  																																																|-The branch is then unsatisfiable
% 48.00/17.26  																																															|-Branch two:
% 48.00/17.26  																																															| (1349)  ~ (all_0_98_98 = e2)
% 48.00/17.26  																																															| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 48.00/17.26  																																															|
% 48.00/17.26  																																																+-Applying beta-rule and splitting (788), into two cases.
% 48.00/17.26  																																																|-Branch one:
% 48.00/17.26  																																																| (960) all_0_96_96 = e1
% 48.00/17.26  																																																|
% 48.00/17.26  																																																	| Combining equations (778,960) yields a new equation:
% 48.00/17.26  																																																	| (825) e3 = e1
% 48.00/17.26  																																																	|
% 48.00/17.26  																																																	| Simplifying 825 yields:
% 48.00/17.26  																																																	| (772) e3 = e1
% 48.00/17.26  																																																	|
% 48.00/17.26  																																																	| Equations (772) can reduce 20 to:
% 48.00/17.26  																																																	| (311) $false
% 48.00/17.26  																																																	|
% 48.00/17.26  																																																	|-The branch is then unsatisfiable
% 48.00/17.26  																																																|-Branch two:
% 48.00/17.26  																																																| (1479)  ~ (all_0_96_96 = e1)
% 48.00/17.26  																																																| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 48.00/17.26  																																																|
% 48.00/17.26  																																																	+-Applying beta-rule and splitting (3625), into two cases.
% 48.00/17.26  																																																	|-Branch one:
% 48.00/17.26  																																																	| (469) all_0_82_82 = e4
% 48.00/17.26  																																																	|
% 48.00/17.26  																																																		| Combining equations (789,469) yields a new equation:
% 48.00/17.26  																																																		| (434) e4 = e3
% 48.00/17.26  																																																		|
% 48.00/17.26  																																																		| Equations (434) can reduce 177 to:
% 48.00/17.26  																																																		| (311) $false
% 48.00/17.26  																																																		|
% 48.00/17.26  																																																		|-The branch is then unsatisfiable
% 48.00/17.26  																																																	|-Branch two:
% 48.00/17.26  																																																	| (465)  ~ (all_0_82_82 = e4)
% 48.00/17.26  																																																	| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 48.00/17.26  																																																	|
% 48.00/17.26  																																																		+-Applying beta-rule and splitting (5118), into two cases.
% 48.00/17.26  																																																		|-Branch one:
% 48.00/17.26  																																																		| (1543) all_0_98_98 = e1
% 48.00/17.26  																																																		|
% 48.00/17.26  																																																			| Equations (1543) can reduce 107 to:
% 48.00/17.26  																																																			| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																			| Equations (1543) can reduce 321 to:
% 48.00/17.26  																																																			| (681)  ~ (e4 = e1)
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																			| Simplifying 681 yields:
% 48.00/17.26  																																																			| (256)  ~ (e4 = e1)
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																			| Equations (1543) can reduce 2059 to:
% 48.00/17.26  																																																			| (264)  ~ (e1 = e0)
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																			+-Applying beta-rule and splitting (3629), into two cases.
% 48.00/17.26  																																																			|-Branch one:
% 48.00/17.26  																																																			| (583) all_0_90_90 = e4
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																				| Combining equations (750,583) yields a new equation:
% 48.00/17.26  																																																				| (814) e4 = e1
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| Equations (814) can reduce 256 to:
% 48.00/17.26  																																																				| (311) $false
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				|-The branch is then unsatisfiable
% 48.00/17.26  																																																			|-Branch two:
% 48.00/17.26  																																																			| (467)  ~ (all_0_90_90 = e4)
% 48.00/17.26  																																																			| (894) all_0_95_95 = e4
% 48.00/17.26  																																																			|
% 48.00/17.26  																																																				| Equations (894) can reduce 355 to:
% 48.00/17.26  																																																				| (79)  ~ (e4 = e2)
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| Equations (894) can reduce 680 to:
% 48.00/17.26  																																																				| (256)  ~ (e4 = e1)
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| From (894) and (121) follows:
% 48.00/17.26  																																																				| (39580) op(e3, e4) = all_0_50_50
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| Instantiating formula (262) with e3, e4, all_0_50_50, e1 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = e1, yields:
% 48.00/17.26  																																																				| (39636) all_0_50_50 = e1
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| Instantiating formula (262) with e3, e4, all_0_63_63, all_0_50_50 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = all_0_63_63, yields:
% 48.00/17.26  																																																				| (46976) all_0_50_50 = all_0_63_63
% 48.00/17.26  																																																				|
% 48.00/17.26  																																																				| Instantiating formula (262) with e3, e1, e4, all_0_48_48 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = e4, yields:
% 48.00/17.26  																																																				| (13902) all_0_48_48 = e4
% 48.00/17.26  																																																				|
% 48.00/17.27  																																																				| Combining equations (39636,46976) yields a new equation:
% 48.00/17.27  																																																				| (10509) all_0_63_63 = e1
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				| Combining equations (10509,46976) yields a new equation:
% 48.00/17.27  																																																				| (39636) all_0_50_50 = e1
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				+-Applying beta-rule and splitting (186), into two cases.
% 48.00/17.27  																																																				|-Branch one:
% 48.00/17.27  																																																				| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																					+-Applying beta-rule and splitting (726), into two cases.
% 48.00/17.27  																																																					|-Branch one:
% 48.00/17.27  																																																					| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																						+-Applying beta-rule and splitting (727), into two cases.
% 48.00/17.27  																																																						|-Branch one:
% 48.00/17.27  																																																						| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 48.00/17.27  																																																						|
% 48.00/17.27  																																																							| Applying alpha-rule on (728) yields:
% 48.00/17.27  																																																							| (729) all_0_43_43 = e4
% 48.00/17.27  																																																							| (730)  ~ (all_0_44_44 = e3)
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							| Combining equations (729,689) yields a new equation:
% 48.00/17.27  																																																							| (309) e4 = e2
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							| Simplifying 309 yields:
% 48.00/17.27  																																																							| (310) e4 = e2
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							| Equations (310) can reduce 79 to:
% 48.00/17.27  																																																							| (311) $false
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							|-The branch is then unsatisfiable
% 48.00/17.27  																																																						|-Branch two:
% 48.00/17.27  																																																						| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 48.00/17.27  																																																						|
% 48.00/17.27  																																																							| Applying alpha-rule on (734) yields:
% 48.00/17.27  																																																							| (735) all_0_46_46 = e2
% 48.00/17.27  																																																							| (736)  ~ (all_0_47_47 = e3)
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							| Combining equations (10066,735) yields a new equation:
% 48.00/17.27  																																																							| (379) e2 = e0
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							| Equations (379) can reduce 76 to:
% 48.00/17.27  																																																							| (311) $false
% 48.00/17.27  																																																							|
% 48.00/17.27  																																																							|-The branch is then unsatisfiable
% 48.00/17.27  																																																					|-Branch two:
% 48.00/17.27  																																																					| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																						| Applying alpha-rule on (740) yields:
% 48.00/17.27  																																																						| (741) all_0_48_48 = e1
% 48.00/17.27  																																																						| (742)  ~ (all_0_49_49 = e3)
% 48.00/17.27  																																																						|
% 48.00/17.27  																																																						| Combining equations (741,13902) yields a new equation:
% 48.00/17.27  																																																						| (814) e4 = e1
% 48.00/17.27  																																																						|
% 48.00/17.27  																																																						| Equations (814) can reduce 256 to:
% 48.00/17.27  																																																						| (311) $false
% 48.00/17.27  																																																						|
% 48.00/17.27  																																																						|-The branch is then unsatisfiable
% 48.00/17.27  																																																				|-Branch two:
% 48.00/17.27  																																																				| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																					| Applying alpha-rule on (973) yields:
% 48.00/17.27  																																																					| (974) all_0_50_50 = e0
% 48.00/17.27  																																																					| (975)  ~ (all_0_51_51 = e3)
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																					| Combining equations (39636,974) yields a new equation:
% 48.00/17.27  																																																					| (1107) e1 = e0
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																					| Simplifying 1107 yields:
% 48.00/17.27  																																																					| (865) e1 = e0
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																					| Equations (865) can reduce 264 to:
% 48.00/17.27  																																																					| (311) $false
% 48.00/17.27  																																																					|
% 48.00/17.27  																																																					|-The branch is then unsatisfiable
% 48.00/17.27  																																																		|-Branch two:
% 48.00/17.27  																																																		| (1804)  ~ (all_0_98_98 = e1)
% 48.00/17.27  																																																		| (5122) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e0
% 48.00/17.27  																																																		|
% 48.00/17.27  																																																			+-Applying beta-rule and splitting (2126), into two cases.
% 48.00/17.27  																																																			|-Branch one:
% 48.00/17.27  																																																			| (542) all_0_97_97 = e1
% 48.00/17.27  																																																			|
% 48.00/17.27  																																																				| Combining equations (542,560) yields a new equation:
% 48.00/17.27  																																																				| (1107) e1 = e0
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				| Simplifying 1107 yields:
% 48.00/17.27  																																																				| (865) e1 = e0
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				| Equations (865) can reduce 264 to:
% 48.00/17.27  																																																				| (311) $false
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				|-The branch is then unsatisfiable
% 48.00/17.27  																																																			|-Branch two:
% 48.00/17.27  																																																			| (486)  ~ (all_0_97_97 = e1)
% 48.00/17.27  																																																			| (1543) all_0_98_98 = e1
% 48.00/17.27  																																																			|
% 48.00/17.27  																																																				| Equations (1543) can reduce 1804 to:
% 48.00/17.27  																																																				| (311) $false
% 48.00/17.27  																																																				|
% 48.00/17.27  																																																				|-The branch is then unsatisfiable
% 48.00/17.28  																																								|-Branch two:
% 48.00/17.28  																																								| (678)  ~ (all_0_90_90 = e1)
% 48.00/17.28  																																								| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 48.00/17.28  																																								|
% 48.00/17.28  																																									+-Applying beta-rule and splitting (1526), into two cases.
% 48.00/17.28  																																									|-Branch one:
% 48.00/17.28  																																									| (801) all_0_91_91 = e1
% 48.00/17.28  																																									|
% 48.00/17.28  																																										| Combining equations (801,1456) yields a new equation:
% 48.00/17.28  																																										| (1107) e1 = e0
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Simplifying 1107 yields:
% 48.00/17.28  																																										| (865) e1 = e0
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Equations (865) can reduce 264 to:
% 48.00/17.28  																																										| (311) $false
% 48.00/17.28  																																										|
% 48.00/17.28  																																										|-The branch is then unsatisfiable
% 48.00/17.28  																																									|-Branch two:
% 48.00/17.28  																																									| (959)  ~ (all_0_91_91 = e1)
% 48.00/17.28  																																									| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 48.00/17.28  																																									|
% 48.00/17.28  																																										+-Applying beta-rule and splitting (641), into two cases.
% 48.00/17.28  																																										|-Branch one:
% 48.00/17.28  																																										| (433) all_0_80_80 = e4
% 48.00/17.28  																																										|
% 48.00/17.28  																																											| Combining equations (416,433) yields a new equation:
% 48.00/17.28  																																											| (434) e4 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																											| Equations (434) can reduce 177 to:
% 48.00/17.28  																																											| (311) $false
% 48.00/17.28  																																											|
% 48.00/17.28  																																											|-The branch is then unsatisfiable
% 48.00/17.28  																																										|-Branch two:
% 48.00/17.28  																																										| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.28  																																										| (638) all_0_81_81 = e4
% 48.00/17.28  																																										|
% 48.00/17.28  																																											| Equations (638) can reduce 628 to:
% 48.00/17.28  																																											| (256)  ~ (e4 = e1)
% 48.00/17.28  																																											|
% 48.00/17.28  																																											+-Applying beta-rule and splitting (188), into two cases.
% 48.00/17.28  																																											|-Branch one:
% 48.00/17.28  																																											| (676) all_0_78_78 = e1
% 48.00/17.28  																																											|
% 48.00/17.28  																																												| Combining equations (676,400) yields a new equation:
% 48.00/17.28  																																												| (385) e2 = e1
% 48.00/17.28  																																												|
% 48.00/17.28  																																												| Equations (385) can reduce 243 to:
% 48.00/17.28  																																												| (311) $false
% 48.00/17.28  																																												|
% 48.00/17.28  																																												|-The branch is then unsatisfiable
% 48.00/17.28  																																											|-Branch two:
% 48.00/17.28  																																											| (1601)  ~ (all_0_78_78 = e1)
% 48.00/17.28  																																											| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 48.00/17.28  																																											|
% 48.00/17.28  																																												| Equations (400) can reduce 1601 to:
% 48.00/17.28  																																												| (243)  ~ (e2 = e1)
% 48.00/17.28  																																												|
% 48.00/17.28  																																												+-Applying beta-rule and splitting (108), into two cases.
% 48.00/17.28  																																												|-Branch one:
% 48.00/17.28  																																												| (477) all_0_81_81 = e1
% 48.00/17.28  																																												|
% 48.00/17.28  																																													| Combining equations (638,477) yields a new equation:
% 48.00/17.28  																																													| (813) e4 = e1
% 48.00/17.28  																																													|
% 48.00/17.28  																																													| Simplifying 813 yields:
% 48.00/17.28  																																													| (814) e4 = e1
% 48.00/17.28  																																													|
% 48.00/17.28  																																													| Equations (814) can reduce 256 to:
% 48.00/17.28  																																													| (311) $false
% 48.00/17.28  																																													|
% 48.00/17.28  																																													|-The branch is then unsatisfiable
% 48.00/17.28  																																												|-Branch two:
% 48.00/17.28  																																												| (628)  ~ (all_0_81_81 = e1)
% 48.00/17.28  																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 48.00/17.28  																																												|
% 48.00/17.28  																																													+-Applying beta-rule and splitting (817), into two cases.
% 48.00/17.28  																																													|-Branch one:
% 48.00/17.28  																																													| (504) all_0_88_88 = e1
% 48.00/17.28  																																													|
% 48.00/17.28  																																														| Combining equations (370,504) yields a new equation:
% 48.00/17.28  																																														| (408) e2 = e1
% 48.00/17.28  																																														|
% 48.00/17.28  																																														| Simplifying 408 yields:
% 48.00/17.28  																																														| (385) e2 = e1
% 48.00/17.28  																																														|
% 48.00/17.28  																																														| Equations (385) can reduce 243 to:
% 48.00/17.28  																																														| (311) $false
% 48.00/17.28  																																														|
% 48.00/17.28  																																														|-The branch is then unsatisfiable
% 48.00/17.28  																																													|-Branch two:
% 48.00/17.28  																																													| (479)  ~ (all_0_88_88 = e1)
% 48.00/17.28  																																													| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 48.00/17.28  																																													|
% 48.00/17.28  																																														| Equations (370) can reduce 479 to:
% 48.00/17.28  																																														| (243)  ~ (e2 = e1)
% 48.00/17.28  																																														|
% 48.00/17.28  																																														+-Applying beta-rule and splitting (1556), into two cases.
% 48.00/17.28  																																														|-Branch one:
% 48.00/17.28  																																														| (836) all_0_92_92 = e1
% 48.00/17.28  																																														|
% 48.00/17.28  																																															| Combining equations (836,1343) yields a new equation:
% 48.00/17.28  																																															| (385) e2 = e1
% 48.00/17.28  																																															|
% 48.00/17.28  																																															| Equations (385) can reduce 243 to:
% 48.00/17.28  																																															| (311) $false
% 48.00/17.28  																																															|
% 48.00/17.28  																																															|-The branch is then unsatisfiable
% 48.00/17.28  																																														|-Branch two:
% 48.00/17.28  																																														| (840)  ~ (all_0_92_92 = e1)
% 48.00/17.28  																																														| (566) all_0_93_93 = e1
% 48.00/17.28  																																														|
% 48.00/17.28  																																															| Combining equations (570,566) yields a new equation:
% 48.00/17.28  																																															| (825) e3 = e1
% 48.00/17.28  																																															|
% 48.00/17.28  																																															| Simplifying 825 yields:
% 48.00/17.28  																																															| (772) e3 = e1
% 48.00/17.28  																																															|
% 48.00/17.28  																																															| Equations (772) can reduce 20 to:
% 48.00/17.28  																																															| (311) $false
% 48.00/17.28  																																															|
% 48.00/17.28  																																															|-The branch is then unsatisfiable
% 48.00/17.28  																																					|-Branch two:
% 48.00/17.28  																																					| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.28  																																					| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 48.00/17.28  																																					|
% 48.00/17.28  																																						+-Applying beta-rule and splitting (849), into two cases.
% 48.00/17.28  																																						|-Branch one:
% 48.00/17.28  																																						| (588) all_0_91_91 = e3
% 48.00/17.28  																																						|
% 48.00/17.28  																																							| Combining equations (1456,588) yields a new equation:
% 48.00/17.28  																																							| (600) e3 = e0
% 48.00/17.28  																																							|
% 48.00/17.28  																																							| Equations (600) can reduce 50 to:
% 48.00/17.28  																																							| (311) $false
% 48.00/17.28  																																							|
% 48.00/17.28  																																							|-The branch is then unsatisfiable
% 48.00/17.28  																																						|-Branch two:
% 48.00/17.28  																																						| (571)  ~ (all_0_91_91 = e3)
% 48.00/17.28  																																						| (881) all_0_92_92 = e3 | all_0_93_93 = e3
% 48.00/17.28  																																						|
% 48.00/17.28  																																							+-Applying beta-rule and splitting (2481), into two cases.
% 48.00/17.28  																																							|-Branch one:
% 48.00/17.28  																																							| (1265) all_0_84_84 = e3
% 48.00/17.28  																																							|
% 48.00/17.28  																																								| Combining equations (1265,438) yields a new equation:
% 48.00/17.28  																																								| (434) e4 = e3
% 48.00/17.28  																																								|
% 48.00/17.28  																																								| Equations (434) can reduce 177 to:
% 48.00/17.28  																																								| (311) $false
% 48.00/17.28  																																								|
% 48.00/17.28  																																								|-The branch is then unsatisfiable
% 48.00/17.28  																																							|-Branch two:
% 48.00/17.28  																																							| (422)  ~ (all_0_84_84 = e3)
% 48.00/17.28  																																							| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 48.00/17.28  																																							|
% 48.00/17.28  																																								+-Applying beta-rule and splitting (881), into two cases.
% 48.00/17.28  																																								|-Branch one:
% 48.00/17.28  																																								| (882) all_0_92_92 = e3
% 48.00/17.28  																																								|
% 48.00/17.28  																																									| Combining equations (1343,882) yields a new equation:
% 48.00/17.28  																																									| (548) e3 = e2
% 48.00/17.28  																																									|
% 48.00/17.28  																																									| Equations (548) can reduce 169 to:
% 48.00/17.28  																																									| (311) $false
% 48.00/17.28  																																									|
% 48.00/17.28  																																									|-The branch is then unsatisfiable
% 48.00/17.28  																																								|-Branch two:
% 48.00/17.28  																																								| (426)  ~ (all_0_92_92 = e3)
% 48.00/17.28  																																								| (570) all_0_93_93 = e3
% 48.00/17.28  																																								|
% 48.00/17.28  																																									| Equations (570) can reduce 300 to:
% 48.00/17.28  																																									| (169)  ~ (e3 = e2)
% 48.00/17.28  																																									|
% 48.00/17.28  																																									| Equations (570) can reduce 509 to:
% 48.00/17.28  																																									| (50)  ~ (e3 = e0)
% 48.00/17.28  																																									|
% 48.00/17.28  																																									+-Applying beta-rule and splitting (3765), into two cases.
% 48.00/17.28  																																									|-Branch one:
% 48.00/17.28  																																									| (882) all_0_92_92 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																										| Combining equations (1343,882) yields a new equation:
% 48.00/17.28  																																										| (548) e3 = e2
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Equations (548) can reduce 169 to:
% 48.00/17.28  																																										| (311) $false
% 48.00/17.28  																																										|
% 48.00/17.28  																																										|-The branch is then unsatisfiable
% 48.00/17.28  																																									|-Branch two:
% 48.00/17.28  																																									| (426)  ~ (all_0_92_92 = e3)
% 48.00/17.28  																																									| (556) all_0_97_97 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																										| Combining equations (560,556) yields a new equation:
% 48.00/17.28  																																										| (600) e3 = e0
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Equations (600) can reduce 50 to:
% 48.00/17.28  																																										| (311) $false
% 48.00/17.28  																																										|
% 48.00/17.28  																																										|-The branch is then unsatisfiable
% 48.00/17.28  																																			|-Branch two:
% 48.00/17.28  																																			| (793)  ~ (all_0_82_82 = e3)
% 48.00/17.28  																																			| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 48.00/17.28  																																			|
% 48.00/17.28  																																				+-Applying beta-rule and splitting (1296), into two cases.
% 48.00/17.28  																																				|-Branch one:
% 48.00/17.28  																																				| (795) all_0_83_83 = e3
% 48.00/17.28  																																				|
% 48.00/17.28  																																					| Combining equations (453,795) yields a new equation:
% 48.00/17.28  																																					| (548) e3 = e2
% 48.00/17.28  																																					|
% 48.00/17.28  																																					| Equations (548) can reduce 169 to:
% 48.00/17.28  																																					| (311) $false
% 48.00/17.28  																																					|
% 48.00/17.28  																																					|-The branch is then unsatisfiable
% 48.00/17.28  																																				|-Branch two:
% 48.00/17.28  																																				| (779)  ~ (all_0_83_83 = e3)
% 48.00/17.28  																																				| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 48.00/17.28  																																				|
% 48.00/17.28  																																					| Equations (453) can reduce 779 to:
% 48.00/17.28  																																					| (356)  ~ (e3 = e2)
% 48.00/17.28  																																					|
% 48.00/17.28  																																					| Simplifying 356 yields:
% 48.00/17.28  																																					| (169)  ~ (e3 = e2)
% 48.00/17.28  																																					|
% 48.00/17.28  																																					+-Applying beta-rule and splitting (641), into two cases.
% 48.00/17.28  																																					|-Branch one:
% 48.00/17.28  																																					| (433) all_0_80_80 = e4
% 48.00/17.28  																																					|
% 48.00/17.28  																																						| Equations (433) can reduce 436 to:
% 48.00/17.28  																																						| (311) $false
% 48.00/17.28  																																						|
% 48.00/17.28  																																						|-The branch is then unsatisfiable
% 48.00/17.28  																																					|-Branch two:
% 48.00/17.28  																																					| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.28  																																					| (638) all_0_81_81 = e4
% 48.00/17.28  																																					|
% 48.00/17.28  																																						| Equations (638) can reduce 144 to:
% 48.00/17.28  																																						| (436)  ~ (all_0_80_80 = e4)
% 48.00/17.28  																																						|
% 48.00/17.28  																																						+-Applying beta-rule and splitting (220), into two cases.
% 48.00/17.28  																																						|-Branch one:
% 48.00/17.28  																																						| (771) all_0_78_78 = e3
% 48.00/17.28  																																						|
% 48.00/17.28  																																							| Combining equations (400,771) yields a new equation:
% 48.00/17.28  																																							| (548) e3 = e2
% 48.00/17.28  																																							|
% 48.00/17.28  																																							| Equations (548) can reduce 169 to:
% 48.00/17.28  																																							| (311) $false
% 48.00/17.28  																																							|
% 48.00/17.28  																																							|-The branch is then unsatisfiable
% 48.00/17.28  																																						|-Branch two:
% 48.00/17.28  																																						| (418)  ~ (all_0_78_78 = e3)
% 48.00/17.28  																																						| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 48.00/17.28  																																						|
% 48.00/17.28  																																							| Equations (400) can reduce 418 to:
% 48.00/17.28  																																							| (356)  ~ (e3 = e2)
% 48.00/17.28  																																							|
% 48.00/17.28  																																							| Simplifying 356 yields:
% 48.00/17.28  																																							| (169)  ~ (e3 = e2)
% 48.00/17.28  																																							|
% 48.00/17.28  																																							+-Applying beta-rule and splitting (106), into two cases.
% 48.00/17.28  																																							|-Branch one:
% 48.00/17.28  																																							| (771) all_0_78_78 = e3
% 48.00/17.28  																																							|
% 48.00/17.28  																																								| Combining equations (400,771) yields a new equation:
% 48.00/17.28  																																								| (548) e3 = e2
% 48.00/17.28  																																								|
% 48.00/17.28  																																								| Equations (548) can reduce 169 to:
% 48.00/17.28  																																								| (311) $false
% 48.00/17.28  																																								|
% 48.00/17.28  																																								|-The branch is then unsatisfiable
% 48.00/17.28  																																							|-Branch two:
% 48.00/17.28  																																							| (418)  ~ (all_0_78_78 = e3)
% 48.00/17.28  																																							| (1756) all_0_79_79 = e3 | all_0_80_80 = e3 | all_0_81_81 = e3
% 48.00/17.28  																																							|
% 48.00/17.28  																																								| Equations (400) can reduce 418 to:
% 48.00/17.28  																																								| (356)  ~ (e3 = e2)
% 48.00/17.28  																																								|
% 48.00/17.28  																																								| Simplifying 356 yields:
% 48.00/17.28  																																								| (169)  ~ (e3 = e2)
% 48.00/17.28  																																								|
% 48.00/17.28  																																								+-Applying beta-rule and splitting (250), into two cases.
% 48.00/17.28  																																								|-Branch one:
% 48.00/17.28  																																								| (635) all_0_81_81 = e3
% 48.00/17.28  																																								|
% 48.00/17.28  																																									| Combining equations (638,635) yields a new equation:
% 48.00/17.28  																																									| (790) e4 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																									| Simplifying 790 yields:
% 48.00/17.28  																																									| (434) e4 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																									| Equations (434) can reduce 177 to:
% 48.00/17.28  																																									| (311) $false
% 48.00/17.28  																																									|
% 48.00/17.28  																																									|-The branch is then unsatisfiable
% 48.00/17.28  																																								|-Branch two:
% 48.00/17.28  																																								| (420)  ~ (all_0_81_81 = e3)
% 48.00/17.28  																																								| (4488) all_0_85_85 = e3 | all_0_93_93 = e3 | all_0_98_98 = e3
% 48.00/17.28  																																								|
% 48.00/17.28  																																									| Equations (638) can reduce 420 to:
% 48.00/17.28  																																									| (177)  ~ (e4 = e3)
% 48.00/17.28  																																									|
% 48.00/17.28  																																									+-Applying beta-rule and splitting (207), into two cases.
% 48.00/17.28  																																									|-Branch one:
% 48.00/17.28  																																									| (416) all_0_80_80 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																										| Equations (416) can reduce 436 to:
% 48.00/17.28  																																										| (783)  ~ (e4 = e3)
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Simplifying 783 yields:
% 48.00/17.28  																																										| (177)  ~ (e4 = e3)
% 48.00/17.28  																																										|
% 48.00/17.28  																																										| Equations (416) can reduce 166 to:
% 48.00/17.28  																																										| (50)  ~ (e3 = e0)
% 48.00/17.28  																																										|
% 48.00/17.28  																																										+-Applying beta-rule and splitting (1594), into two cases.
% 48.00/17.28  																																										|-Branch one:
% 48.00/17.28  																																										| (1265) all_0_84_84 = e3
% 48.00/17.28  																																										|
% 48.00/17.28  																																											| Combining equations (438,1265) yields a new equation:
% 48.00/17.28  																																											| (790) e4 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																											| Simplifying 790 yields:
% 48.00/17.28  																																											| (434) e4 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																											| Equations (434) can reduce 177 to:
% 48.00/17.28  																																											| (311) $false
% 48.00/17.28  																																											|
% 48.00/17.28  																																											|-The branch is then unsatisfiable
% 48.00/17.28  																																										|-Branch two:
% 48.00/17.28  																																										| (422)  ~ (all_0_84_84 = e3)
% 48.00/17.28  																																										| (804) all_0_85_85 = e3
% 48.00/17.28  																																										|
% 48.00/17.28  																																											| Combining equations (954,804) yields a new equation:
% 48.00/17.28  																																											| (600) e3 = e0
% 48.00/17.28  																																											|
% 48.00/17.28  																																											| Equations (600) can reduce 50 to:
% 48.00/17.28  																																											| (311) $false
% 48.00/17.28  																																											|
% 48.00/17.28  																																											|-The branch is then unsatisfiable
% 48.00/17.28  																																									|-Branch two:
% 48.00/17.28  																																									| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.28  																																									| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 48.00/17.28  																																									|
% 48.00/17.28  																																										+-Applying beta-rule and splitting (2481), into two cases.
% 48.00/17.28  																																										|-Branch one:
% 48.00/17.28  																																										| (1265) all_0_84_84 = e3
% 48.00/17.28  																																										|
% 48.00/17.28  																																											| Combining equations (1265,438) yields a new equation:
% 48.00/17.28  																																											| (434) e4 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																											| Equations (434) can reduce 177 to:
% 48.00/17.28  																																											| (311) $false
% 48.00/17.28  																																											|
% 48.00/17.28  																																											|-The branch is then unsatisfiable
% 48.00/17.28  																																										|-Branch two:
% 48.00/17.28  																																										| (422)  ~ (all_0_84_84 = e3)
% 48.00/17.28  																																										| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 48.00/17.28  																																										|
% 48.00/17.28  																																											+-Applying beta-rule and splitting (3765), into two cases.
% 48.00/17.28  																																											|-Branch one:
% 48.00/17.28  																																											| (882) all_0_92_92 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																												| Combining equations (1343,882) yields a new equation:
% 48.00/17.28  																																												| (548) e3 = e2
% 48.00/17.28  																																												|
% 48.00/17.28  																																												| Equations (548) can reduce 169 to:
% 48.00/17.28  																																												| (311) $false
% 48.00/17.28  																																												|
% 48.00/17.28  																																												|-The branch is then unsatisfiable
% 48.00/17.28  																																											|-Branch two:
% 48.00/17.28  																																											| (426)  ~ (all_0_92_92 = e3)
% 48.00/17.28  																																											| (556) all_0_97_97 = e3
% 48.00/17.28  																																											|
% 48.00/17.28  																																												| Combining equations (556,560) yields a new equation:
% 48.00/17.28  																																												| (599) e3 = e0
% 48.00/17.28  																																												|
% 48.00/17.28  																																												| Simplifying 599 yields:
% 48.00/17.28  																																												| (600) e3 = e0
% 48.00/17.28  																																												|
% 48.00/17.28  																																												| Equations (600) can reduce 50 to:
% 48.00/17.28  																																												| (311) $false
% 48.00/17.28  																																												|
% 48.00/17.28  																																												|-The branch is then unsatisfiable
% 48.00/17.28  																																	|-Branch two:
% 48.00/17.28  																																	| (417)  ~ (all_0_84_84 = e4)
% 48.00/17.28  																																	| (493) all_0_85_85 = e4
% 48.00/17.28  																																	|
% 48.00/17.28  																																		| Combining equations (954,493) yields a new equation:
% 48.00/17.28  																																		| (912) e4 = e0
% 48.00/17.28  																																		|
% 48.00/17.28  																																		| Equations (912) can reduce 23 to:
% 48.00/17.28  																																		| (311) $false
% 48.00/17.28  																																		|
% 48.00/17.28  																																		|-The branch is then unsatisfiable
% 48.00/17.28  																															|-Branch two:
% 48.00/17.28  																															| (964)  ~ (all_0_96_96 = e3)
% 48.00/17.28  																															| (1837) all_0_96_96 = e0
% 48.00/17.28  																															|
% 48.00/17.28  																																| Equations (1837) can reduce 2095 to:
% 48.00/17.28  																																| (311) $false
% 48.00/17.28  																																|
% 48.00/17.28  																																|-The branch is then unsatisfiable
% 48.00/17.28  																												|-Branch two:
% 48.00/17.28  																												| (461)  ~ (all_0_79_79 = e1)
% 48.00/17.28  																												| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 48.00/17.28  																												|
% 48.00/17.28  																													+-Applying beta-rule and splitting (462), into two cases.
% 48.00/17.28  																													|-Branch one:
% 48.00/17.28  																													| (801) all_0_91_91 = e1
% 48.00/17.28  																													|
% 48.00/17.28  																														| Combining equations (1456,801) yields a new equation:
% 48.00/17.28  																														| (865) e1 = e0
% 48.00/17.28  																														|
% 48.00/17.28  																														| Equations (865) can reduce 264 to:
% 48.00/17.28  																														| (311) $false
% 48.00/17.28  																														|
% 48.00/17.28  																														|-The branch is then unsatisfiable
% 48.00/17.28  																													|-Branch two:
% 48.00/17.28  																													| (959)  ~ (all_0_91_91 = e1)
% 48.00/17.28  																													| (960) all_0_96_96 = e1
% 48.00/17.28  																													|
% 48.00/17.28  																														| Equations (960) can reduce 214 to:
% 48.00/17.28  																														| (461)  ~ (all_0_79_79 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Equations (960) can reduce 279 to:
% 48.00/17.28  																														| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Equations (960) can reduce 43 to:
% 48.00/17.28  																														| (1803)  ~ (all_0_98_98 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Simplifying 1803 yields:
% 48.00/17.28  																														| (1804)  ~ (all_0_98_98 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Equations (960) can reduce 1638 to:
% 48.00/17.28  																														| (487)  ~ (e2 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Simplifying 487 yields:
% 48.00/17.28  																														| (243)  ~ (e2 = e1)
% 48.00/17.28  																														|
% 48.00/17.28  																														| Equations (960) can reduce 2095 to:
% 48.00/17.28  																														| (264)  ~ (e1 = e0)
% 48.00/17.28  																														|
% 48.00/17.28  																														| From (960) and (212) follows:
% 48.00/17.28  																														| (15809) op(e2, e1) = all_0_58_58
% 48.00/17.28  																														|
% 48.00/17.28  																														+-Applying beta-rule and splitting (1623), into two cases.
% 48.00/17.28  																														|-Branch one:
% 48.00/17.28  																														| (457) all_0_79_79 = e1
% 48.00/17.28  																														|
% 48.00/17.28  																															| Equations (457) can reduce 461 to:
% 48.00/17.28  																															| (311) $false
% 48.00/17.28  																															|
% 48.00/17.28  																															|-The branch is then unsatisfiable
% 48.00/17.28  																														|-Branch two:
% 48.00/17.28  																														| (461)  ~ (all_0_79_79 = e1)
% 48.00/17.28  																														| (1708) all_0_79_79 = e3
% 48.00/17.28  																														|
% 48.00/17.28  																															| Equations (1708) can reduce 63 to:
% 48.00/17.28  																															| (3267)  ~ (all_0_80_80 = e3)
% 48.00/17.28  																															|
% 48.00/17.28  																															| Simplifying 3267 yields:
% 48.00/17.28  																															| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.28  																															|
% 48.00/17.28  																															| Equations (1708) can reduce 1622 to:
% 48.00/17.28  																															| (169)  ~ (e3 = e2)
% 48.00/17.28  																															|
% 48.00/17.28  																															| Equations (1708) can reduce 9 to:
% 48.00/17.28  																															| (50)  ~ (e3 = e0)
% 48.00/17.28  																															|
% 48.00/17.28  																															| From (1708) and (184) follows:
% 48.00/17.29  																															| (11003) op(e2, e3) = all_0_52_52
% 48.00/17.29  																															|
% 48.00/17.29  																															+-Applying beta-rule and splitting (207), into two cases.
% 48.00/17.29  																															|-Branch one:
% 48.00/17.29  																															| (416) all_0_80_80 = e3
% 48.00/17.29  																															|
% 48.00/17.29  																																| Equations (416) can reduce 2347 to:
% 48.00/17.29  																																| (311) $false
% 48.00/17.29  																																|
% 48.00/17.29  																																|-The branch is then unsatisfiable
% 48.00/17.29  																															|-Branch two:
% 48.00/17.29  																															| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.29  																															| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 48.00/17.29  																															|
% 48.00/17.29  																																+-Applying beta-rule and splitting (2481), into two cases.
% 48.00/17.29  																																|-Branch one:
% 48.00/17.29  																																| (1265) all_0_84_84 = e3
% 48.00/17.29  																																|
% 48.00/17.29  																																	| Equations (1265) can reduce 273 to:
% 48.00/17.29  																																	| (2347)  ~ (all_0_80_80 = e3)
% 48.00/17.29  																																	|
% 48.00/17.29  																																	| Equations (1265) can reduce 7 to:
% 48.00/17.29  																																	| (793)  ~ (all_0_82_82 = e3)
% 48.00/17.29  																																	|
% 48.00/17.29  																																	+-Applying beta-rule and splitting (109), into two cases.
% 48.00/17.29  																																	|-Branch one:
% 48.00/17.29  																																	| (469) all_0_82_82 = e4
% 48.00/17.29  																																	|
% 48.00/17.29  																																		| Equations (469) can reduce 200 to:
% 48.00/17.29  																																		| (314)  ~ (all_0_95_95 = e4)
% 48.00/17.29  																																		|
% 48.00/17.29  																																		| Simplifying 314 yields:
% 48.00/17.29  																																		| (315)  ~ (all_0_95_95 = e4)
% 48.00/17.29  																																		|
% 48.00/17.29  																																		| Equations (469) can reduce 347 to:
% 48.00/17.29  																																		| (79)  ~ (e4 = e2)
% 48.00/17.29  																																		|
% 48.00/17.29  																																		| Equations (469) can reduce 914 to:
% 48.00/17.29  																																		| (23)  ~ (e4 = e0)
% 48.00/17.29  																																		|
% 48.00/17.29  																																		+-Applying beta-rule and splitting (188), into two cases.
% 48.00/17.29  																																		|-Branch one:
% 48.00/17.29  																																		| (676) all_0_78_78 = e1
% 48.00/17.29  																																		|
% 48.00/17.29  																																			| Combining equations (400,676) yields a new equation:
% 48.00/17.29  																																			| (408) e2 = e1
% 48.00/17.29  																																			|
% 48.00/17.29  																																			| Simplifying 408 yields:
% 48.00/17.29  																																			| (385) e2 = e1
% 48.00/17.29  																																			|
% 48.00/17.29  																																			| Equations (385) can reduce 243 to:
% 48.00/17.29  																																			| (311) $false
% 48.00/17.29  																																			|
% 48.00/17.29  																																			|-The branch is then unsatisfiable
% 48.00/17.29  																																		|-Branch two:
% 48.00/17.29  																																		| (1601)  ~ (all_0_78_78 = e1)
% 48.00/17.29  																																		| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 48.00/17.29  																																		|
% 48.00/17.29  																																			+-Applying beta-rule and splitting (1718), into two cases.
% 48.00/17.29  																																			|-Branch one:
% 48.00/17.29  																																			| (384) all_0_86_86 = e1
% 48.00/17.29  																																			|
% 48.00/17.29  																																				| Combining equations (384,378) yields a new equation:
% 48.00/17.29  																																				| (1107) e1 = e0
% 48.00/17.29  																																				|
% 48.00/17.29  																																				| Simplifying 1107 yields:
% 48.00/17.29  																																				| (865) e1 = e0
% 48.00/17.29  																																				|
% 48.00/17.29  																																				| Equations (865) can reduce 264 to:
% 48.00/17.29  																																				| (311) $false
% 48.00/17.29  																																				|
% 48.00/17.29  																																				|-The branch is then unsatisfiable
% 48.00/17.29  																																			|-Branch two:
% 48.00/17.29  																																			| (387)  ~ (all_0_86_86 = e1)
% 48.00/17.29  																																			| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 48.00/17.29  																																			|
% 48.00/17.29  																																				+-Applying beta-rule and splitting (2122), into two cases.
% 48.00/17.29  																																				|-Branch one:
% 48.00/17.29  																																				| (750) all_0_90_90 = e1
% 48.00/17.29  																																				|
% 48.00/17.29  																																					| Equations (750) can reduce 34 to:
% 48.00/17.29  																																					| (480)  ~ (all_0_93_93 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					| Simplifying 480 yields:
% 48.00/17.29  																																					| (481)  ~ (all_0_93_93 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					| Equations (750) can reduce 229 to:
% 48.00/17.29  																																					| (679)  ~ (all_0_95_95 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					| Simplifying 679 yields:
% 48.00/17.29  																																					| (680)  ~ (all_0_95_95 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					| Equations (750) can reduce 294 to:
% 48.00/17.29  																																					| (487)  ~ (e2 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					| Simplifying 487 yields:
% 48.00/17.29  																																					| (243)  ~ (e2 = e1)
% 48.00/17.29  																																					|
% 48.00/17.29  																																					+-Applying beta-rule and splitting (140), into two cases.
% 48.00/17.29  																																					|-Branch one:
% 48.00/17.29  																																					| (313) all_0_94_94 = e4
% 48.00/17.29  																																					|
% 48.00/17.29  																																						| Combining equations (1757,313) yields a new equation:
% 48.00/17.29  																																						| (310) e4 = e2
% 48.00/17.29  																																						|
% 48.00/17.29  																																						| Equations (310) can reduce 79 to:
% 48.00/17.29  																																						| (311) $false
% 48.00/17.29  																																						|
% 48.00/17.29  																																						|-The branch is then unsatisfiable
% 48.00/17.29  																																					|-Branch two:
% 48.07/17.29  																																					| (34849)  ~ (all_0_94_94 = e4)
% 48.07/17.29  																																					| (34850) all_0_95_95 = e4 | all_0_97_97 = e4 | all_0_98_98 = e4
% 48.07/17.29  																																					|
% 48.07/17.29  																																						+-Applying beta-rule and splitting (65), into two cases.
% 48.07/17.29  																																						|-Branch one:
% 48.07/17.29  																																						| (522) all_0_93_93 = e2
% 48.07/17.29  																																						|
% 48.07/17.29  																																							| Equations (522) can reduce 300 to:
% 48.07/17.29  																																							| (311) $false
% 48.07/17.29  																																							|
% 48.07/17.29  																																							|-The branch is then unsatisfiable
% 48.07/17.29  																																						|-Branch two:
% 48.07/17.29  																																						| (300)  ~ (all_0_93_93 = e2)
% 48.07/17.29  																																						| (565) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e1 | all_0_93_93 = e0
% 48.07/17.29  																																						|
% 48.07/17.29  																																							+-Applying beta-rule and splitting (34850), into two cases.
% 48.07/17.29  																																							|-Branch one:
% 48.07/17.29  																																							| (894) all_0_95_95 = e4
% 48.07/17.29  																																							|
% 48.07/17.29  																																								| Equations (894) can reduce 315 to:
% 48.07/17.29  																																								| (311) $false
% 48.07/17.29  																																								|
% 48.07/17.29  																																								|-The branch is then unsatisfiable
% 48.07/17.29  																																							|-Branch two:
% 48.07/17.29  																																							| (315)  ~ (all_0_95_95 = e4)
% 48.07/17.29  																																							| (34882) all_0_97_97 = e4 | all_0_98_98 = e4
% 48.07/17.29  																																							|
% 48.07/17.29  																																								+-Applying beta-rule and splitting (34882), into two cases.
% 48.07/17.29  																																								|-Branch one:
% 48.07/17.29  																																								| (610) all_0_97_97 = e4
% 48.07/17.29  																																								|
% 48.07/17.29  																																									| Combining equations (610,560) yields a new equation:
% 48.07/17.29  																																									| (911) e4 = e0
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Simplifying 911 yields:
% 48.07/17.29  																																									| (912) e4 = e0
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Equations (912) can reduce 23 to:
% 48.07/17.29  																																									| (311) $false
% 48.07/17.29  																																									|
% 48.07/17.29  																																									|-The branch is then unsatisfiable
% 48.07/17.29  																																								|-Branch two:
% 48.07/17.29  																																								| (319)  ~ (all_0_97_97 = e4)
% 48.07/17.29  																																								| (2650) all_0_98_98 = e4
% 48.07/17.29  																																								|
% 48.07/17.29  																																									| Equations (2650) can reduce 13 to:
% 48.07/17.29  																																									| (496)  ~ (all_0_93_93 = e4)
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Equations (2650) can reduce 107 to:
% 48.07/17.29  																																									| (315)  ~ (all_0_95_95 = e4)
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Equations (2650) can reduce 1349 to:
% 48.07/17.29  																																									| (79)  ~ (e4 = e2)
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Equations (2650) can reduce 1804 to:
% 48.07/17.29  																																									| (256)  ~ (e4 = e1)
% 48.07/17.29  																																									|
% 48.07/17.29  																																									| Equations (2650) can reduce 2059 to:
% 48.07/17.29  																																									| (23)  ~ (e4 = e0)
% 48.07/17.29  																																									|
% 48.07/17.29  																																									+-Applying beta-rule and splitting (565), into two cases.
% 48.07/17.29  																																									|-Branch one:
% 48.07/17.29  																																									| (566) all_0_93_93 = e1
% 48.07/17.29  																																									|
% 48.07/17.29  																																										| Equations (566) can reduce 481 to:
% 48.07/17.29  																																										| (311) $false
% 48.07/17.29  																																										|
% 48.07/17.29  																																										|-The branch is then unsatisfiable
% 48.07/17.29  																																									|-Branch two:
% 48.07/17.29  																																									| (481)  ~ (all_0_93_93 = e1)
% 48.07/17.29  																																									| (569) all_0_93_93 = e4 | all_0_93_93 = e3 | all_0_93_93 = e0
% 48.07/17.29  																																									|
% 48.07/17.29  																																										+-Applying beta-rule and splitting (569), into two cases.
% 48.07/17.29  																																										|-Branch one:
% 48.07/17.29  																																										| (570) all_0_93_93 = e3
% 48.07/17.29  																																										|
% 48.07/17.29  																																											| Equations (570) can reduce 496 to:
% 48.07/17.29  																																											| (783)  ~ (e4 = e3)
% 48.07/17.29  																																											|
% 48.07/17.29  																																											| Simplifying 783 yields:
% 48.07/17.29  																																											| (177)  ~ (e4 = e3)
% 48.07/17.29  																																											|
% 48.07/17.29  																																											| Equations (570) can reduce 481 to:
% 48.07/17.29  																																											| (20)  ~ (e3 = e1)
% 48.07/17.29  																																											|
% 48.07/17.29  																																											| Equations (570) can reduce 509 to:
% 48.07/17.29  																																											| (50)  ~ (e3 = e0)
% 48.07/17.29  																																											|
% 48.07/17.29  																																											+-Applying beta-rule and splitting (270), into two cases.
% 48.07/17.29  																																											|-Branch one:
% 48.07/17.29  																																											| (744) all_0_95_95 = e3
% 48.07/17.29  																																											|
% 48.07/17.29  																																												| Equations (744) can reduce 315 to:
% 48.07/17.29  																																												| (783)  ~ (e4 = e3)
% 48.07/17.29  																																												|
% 48.07/17.29  																																												| Simplifying 783 yields:
% 48.07/17.29  																																												| (177)  ~ (e4 = e3)
% 48.07/17.29  																																												|
% 48.07/17.29  																																												| Equations (744) can reduce 680 to:
% 48.07/17.29  																																												| (20)  ~ (e3 = e1)
% 48.07/17.29  																																												|
% 48.07/17.29  																																												+-Applying beta-rule and splitting (108), into two cases.
% 48.07/17.29  																																												|-Branch one:
% 48.07/17.29  																																												| (477) all_0_81_81 = e1
% 48.07/17.29  																																												|
% 48.07/17.29  																																													| Equations (477) can reduce 396 to:
% 48.07/17.29  																																													| (487)  ~ (e2 = e1)
% 48.07/17.29  																																													|
% 48.07/17.29  																																													| Simplifying 487 yields:
% 48.07/17.29  																																													| (243)  ~ (e2 = e1)
% 48.07/17.29  																																													|
% 48.07/17.29  																																													| Equations (477) can reduce 257 to:
% 48.07/17.29  																																													| (264)  ~ (e1 = e0)
% 48.07/17.29  																																													|
% 48.07/17.29  																																													+-Applying beta-rule and splitting (210), into two cases.
% 48.07/17.29  																																													|-Branch one:
% 48.07/17.29  																																													| (433) all_0_80_80 = e4
% 48.07/17.29  																																													|
% 48.07/17.29  																																														| Equations (433) can reduce 2347 to:
% 48.07/17.29  																																														| (177)  ~ (e4 = e3)
% 48.07/17.29  																																														|
% 48.07/17.29  																																														| Equations (433) can reduce 166 to:
% 48.07/17.29  																																														| (23)  ~ (e4 = e0)
% 48.07/17.29  																																														|
% 48.07/17.29  																																														| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 48.07/17.29  																																														| (11070) all_0_52_52 = e0
% 48.07/17.29  																																														|
% 48.07/17.29  																																														| Instantiating formula (262) with e2, e1, all_0_58_58, e1 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e1, yields:
% 48.07/17.29  																																														| (10941) all_0_58_58 = e1
% 48.07/17.29  																																														|
% 48.07/17.29  																																														+-Applying beta-rule and splitting (33), into two cases.
% 48.07/17.29  																																														|-Branch one:
% 48.07/17.29  																																														| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 48.07/17.29  																																														|
% 48.07/17.29  																																															+-Applying beta-rule and splitting (1686), into two cases.
% 48.07/17.29  																																															|-Branch one:
% 48.07/17.29  																																															| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 48.07/17.29  																																															|
% 48.07/17.29  																																																+-Applying beta-rule and splitting (1687), into two cases.
% 48.07/17.29  																																																|-Branch one:
% 48.07/17.29  																																																| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 48.07/17.29  																																																|
% 48.07/17.29  																																																	| Applying alpha-rule on (1688) yields:
% 48.07/17.29  																																																	| (1689) all_0_52_52 = e4
% 48.07/17.29  																																																	| (1690)  ~ (all_0_53_53 = e2)
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	| Combining equations (1689,11070) yields a new equation:
% 48.07/17.29  																																																	| (911) e4 = e0
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	| Simplifying 911 yields:
% 48.07/17.29  																																																	| (912) e4 = e0
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	| Equations (912) can reduce 23 to:
% 48.07/17.29  																																																	| (311) $false
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	|-The branch is then unsatisfiable
% 48.07/17.29  																																																|-Branch two:
% 48.07/17.29  																																																| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 48.07/17.29  																																																|
% 48.07/17.29  																																																	| Applying alpha-rule on (1694) yields:
% 48.07/17.29  																																																	| (1695) all_0_54_54 = e3
% 48.07/17.29  																																																	| (1696)  ~ (all_0_55_55 = e2)
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	| Combining equations (1695,1647) yields a new equation:
% 48.07/17.29  																																																	| (434) e4 = e3
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	| Equations (434) can reduce 177 to:
% 48.07/17.29  																																																	| (311) $false
% 48.07/17.29  																																																	|
% 48.07/17.29  																																																	|-The branch is then unsatisfiable
% 48.07/17.29  																																															|-Branch two:
% 48.07/17.29  																																															| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 48.07/17.29  																																															|
% 48.07/17.29  																																																| Applying alpha-rule on (1700) yields:
% 48.07/17.29  																																																| (1701) all_0_56_56 = e1
% 48.07/17.29  																																																| (1702)  ~ (all_0_57_57 = e2)
% 48.07/17.29  																																																|
% 48.07/17.30  																																																| Combining equations (1701,8110) yields a new equation:
% 48.07/17.30  																																																| (385) e2 = e1
% 48.07/17.30  																																																|
% 48.07/17.30  																																																| Equations (385) can reduce 243 to:
% 48.07/17.30  																																																| (311) $false
% 48.07/17.30  																																																|
% 48.07/17.30  																																																|-The branch is then unsatisfiable
% 48.07/17.30  																																														|-Branch two:
% 48.07/17.30  																																														| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 48.07/17.30  																																														|
% 48.07/17.30  																																															| Applying alpha-rule on (4957) yields:
% 48.07/17.30  																																															| (4958) all_0_58_58 = e0
% 48.07/17.30  																																															| (4959)  ~ (all_0_59_59 = e2)
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Combining equations (10941,4958) yields a new equation:
% 48.07/17.30  																																															| (1107) e1 = e0
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Simplifying 1107 yields:
% 48.07/17.30  																																															| (865) e1 = e0
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Equations (865) can reduce 264 to:
% 48.07/17.30  																																															| (311) $false
% 48.07/17.30  																																															|
% 48.07/17.30  																																															|-The branch is then unsatisfiable
% 48.07/17.30  																																													|-Branch two:
% 48.07/17.30  																																													| (436)  ~ (all_0_80_80 = e4)
% 48.07/17.30  																																													| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 48.07/17.30  																																													|
% 48.07/17.30  																																														+-Applying beta-rule and splitting (437), into two cases.
% 48.07/17.30  																																														|-Branch one:
% 48.07/17.30  																																														| (438) all_0_84_84 = e4
% 48.07/17.30  																																														|
% 48.07/17.30  																																															| Combining equations (1265,438) yields a new equation:
% 48.07/17.30  																																															| (434) e4 = e3
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Equations (434) can reduce 177 to:
% 48.07/17.30  																																															| (311) $false
% 48.07/17.30  																																															|
% 48.07/17.30  																																															|-The branch is then unsatisfiable
% 48.07/17.30  																																														|-Branch two:
% 48.07/17.30  																																														| (417)  ~ (all_0_84_84 = e4)
% 48.07/17.30  																																														| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 48.07/17.30  																																														|
% 48.07/17.30  																																															+-Applying beta-rule and splitting (441), into two cases.
% 48.07/17.30  																																															|-Branch one:
% 48.07/17.30  																																															| (442) all_0_92_92 = e4
% 48.07/17.30  																																															|
% 48.07/17.30  																																																| Combining equations (1343,442) yields a new equation:
% 48.07/17.30  																																																| (310) e4 = e2
% 48.07/17.30  																																																|
% 48.07/17.30  																																																| Equations (310) can reduce 79 to:
% 48.07/17.30  																																																| (311) $false
% 48.07/17.30  																																																|
% 48.07/17.30  																																																|-The branch is then unsatisfiable
% 48.07/17.30  																																															|-Branch two:
% 48.07/17.30  																																															| (1619)  ~ (all_0_92_92 = e4)
% 48.07/17.30  																																															| (610) all_0_97_97 = e4
% 48.07/17.30  																																															|
% 48.07/17.30  																																																| Combining equations (560,610) yields a new equation:
% 48.07/17.30  																																																| (912) e4 = e0
% 48.07/17.30  																																																|
% 48.07/17.30  																																																| Equations (912) can reduce 23 to:
% 48.07/17.30  																																																| (311) $false
% 48.07/17.30  																																																|
% 48.07/17.30  																																																|-The branch is then unsatisfiable
% 48.07/17.30  																																												|-Branch two:
% 48.07/17.30  																																												| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.30  																																												| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 48.07/17.30  																																												|
% 48.07/17.30  																																													+-Applying beta-rule and splitting (817), into two cases.
% 48.07/17.30  																																													|-Branch one:
% 48.07/17.30  																																													| (504) all_0_88_88 = e1
% 48.07/17.30  																																													|
% 48.07/17.30  																																														| Combining equations (370,504) yields a new equation:
% 48.07/17.30  																																														| (408) e2 = e1
% 48.07/17.30  																																														|
% 48.07/17.30  																																														| Simplifying 408 yields:
% 48.07/17.30  																																														| (385) e2 = e1
% 48.07/17.30  																																														|
% 48.07/17.30  																																														| Equations (385) can reduce 243 to:
% 48.07/17.30  																																														| (311) $false
% 48.07/17.30  																																														|
% 48.07/17.30  																																														|-The branch is then unsatisfiable
% 48.07/17.30  																																													|-Branch two:
% 48.07/17.30  																																													| (479)  ~ (all_0_88_88 = e1)
% 48.07/17.30  																																													| (897) all_0_93_93 = e1 | all_0_98_98 = e1
% 48.07/17.30  																																													|
% 48.07/17.30  																																														+-Applying beta-rule and splitting (897), into two cases.
% 48.07/17.30  																																														|-Branch one:
% 48.07/17.30  																																														| (566) all_0_93_93 = e1
% 48.07/17.30  																																														|
% 48.07/17.30  																																															| Combining equations (566,570) yields a new equation:
% 48.07/17.30  																																															| (772) e3 = e1
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Equations (772) can reduce 20 to:
% 48.07/17.30  																																															| (311) $false
% 48.07/17.30  																																															|
% 48.07/17.30  																																															|-The branch is then unsatisfiable
% 48.07/17.30  																																														|-Branch two:
% 48.07/17.30  																																														| (481)  ~ (all_0_93_93 = e1)
% 48.07/17.30  																																														| (1543) all_0_98_98 = e1
% 48.07/17.30  																																														|
% 48.07/17.30  																																															| Combining equations (1543,2650) yields a new equation:
% 48.07/17.30  																																															| (814) e4 = e1
% 48.07/17.30  																																															|
% 48.07/17.30  																																															| Equations (814) can reduce 256 to:
% 48.07/17.30  																																															| (311) $false
% 48.07/17.30  																																															|
% 48.07/17.30  																																															|-The branch is then unsatisfiable
% 48.07/17.30  																																											|-Branch two:
% 48.07/17.30  																																											| (765)  ~ (all_0_95_95 = e3)
% 48.07/17.30  																																											| (766) all_0_96_96 = e3 | all_0_97_97 = e3 | all_0_98_98 = e3
% 48.07/17.30  																																											|
% 48.07/17.30  																																												+-Applying beta-rule and splitting (766), into two cases.
% 48.07/17.30  																																												|-Branch one:
% 48.07/17.30  																																												| (778) all_0_96_96 = e3
% 48.07/17.30  																																												|
% 48.07/17.30  																																													| Combining equations (960,778) yields a new equation:
% 48.07/17.30  																																													| (772) e3 = e1
% 48.07/17.30  																																													|
% 48.07/17.30  																																													| Equations (772) can reduce 20 to:
% 48.07/17.30  																																													| (311) $false
% 48.07/17.30  																																													|
% 48.07/17.30  																																													|-The branch is then unsatisfiable
% 48.07/17.30  																																												|-Branch two:
% 48.07/17.30  																																												| (964)  ~ (all_0_96_96 = e3)
% 48.07/17.30  																																												| (965) all_0_97_97 = e3 | all_0_98_98 = e3
% 48.07/17.30  																																												|
% 48.07/17.30  																																													+-Applying beta-rule and splitting (965), into two cases.
% 48.07/17.30  																																													|-Branch one:
% 48.07/17.30  																																													| (556) all_0_97_97 = e3
% 48.07/17.30  																																													|
% 48.07/17.30  																																														| Combining equations (560,556) yields a new equation:
% 48.07/17.30  																																														| (600) e3 = e0
% 48.07/17.30  																																														|
% 48.07/17.30  																																														| Equations (600) can reduce 50 to:
% 48.07/17.30  																																														| (311) $false
% 48.07/17.30  																																														|
% 48.07/17.30  																																														|-The branch is then unsatisfiable
% 48.07/17.30  																																													|-Branch two:
% 48.07/17.30  																																													| (428)  ~ (all_0_97_97 = e3)
% 48.07/17.30  																																													| (969) all_0_98_98 = e3
% 48.07/17.30  																																													|
% 48.07/17.30  																																														| Combining equations (2650,969) yields a new equation:
% 48.07/17.30  																																														| (790) e4 = e3
% 48.07/17.30  																																														|
% 48.07/17.30  																																														| Simplifying 790 yields:
% 48.07/17.30  																																														| (434) e4 = e3
% 48.07/17.30  																																														|
% 48.07/17.30  																																														| Equations (434) can reduce 177 to:
% 48.07/17.30  																																														| (311) $false
% 48.07/17.30  																																														|
% 48.07/17.30  																																														|-The branch is then unsatisfiable
% 48.07/17.30  																																										|-Branch two:
% 48.07/17.30  																																										| (602)  ~ (all_0_93_93 = e3)
% 48.07/17.30  																																										| (603) all_0_93_93 = e4 | all_0_93_93 = e0
% 48.07/17.30  																																										|
% 48.07/17.30  																																											+-Applying beta-rule and splitting (603), into two cases.
% 48.07/17.30  																																											|-Branch one:
% 48.07/17.30  																																											| (604) all_0_93_93 = e0
% 48.07/17.30  																																											|
% 48.07/17.30  																																												| Equations (604) can reduce 509 to:
% 48.07/17.30  																																												| (311) $false
% 48.07/17.30  																																												|
% 48.07/17.30  																																												|-The branch is then unsatisfiable
% 48.07/17.30  																																											|-Branch two:
% 48.07/17.30  																																											| (509)  ~ (all_0_93_93 = e0)
% 48.07/17.30  																																											| (607) all_0_93_93 = e4
% 48.07/17.30  																																											|
% 48.07/17.30  																																												| Equations (607) can reduce 496 to:
% 48.07/17.30  																																												| (311) $false
% 48.07/17.30  																																												|
% 48.07/17.30  																																												|-The branch is then unsatisfiable
% 48.07/17.30  																																				|-Branch two:
% 48.07/17.30  																																				| (678)  ~ (all_0_90_90 = e1)
% 48.07/17.30  																																				| (785) all_0_95_95 = e1
% 48.07/17.30  																																				|
% 48.07/17.30  																																					| Equations (785) can reduce 680 to:
% 48.07/17.30  																																					| (311) $false
% 48.07/17.30  																																					|
% 48.07/17.30  																																					|-The branch is then unsatisfiable
% 48.07/17.30  																																	|-Branch two:
% 48.07/17.30  																																	| (465)  ~ (all_0_82_82 = e4)
% 48.07/17.30  																																	| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 48.07/17.30  																																	|
% 48.07/17.30  																																		+-Applying beta-rule and splitting (10), into two cases.
% 48.07/17.30  																																		|-Branch one:
% 48.07/17.30  																																		| (530) all_0_82_82 = e2
% 48.07/17.30  																																		|
% 48.07/17.30  																																			| Equations (530) can reduce 347 to:
% 48.07/17.30  																																			| (311) $false
% 48.07/17.30  																																			|
% 48.07/17.30  																																			|-The branch is then unsatisfiable
% 48.07/17.30  																																		|-Branch two:
% 48.07/17.30  																																		| (347)  ~ (all_0_82_82 = e2)
% 48.07/17.30  																																		| (2205) all_0_82_82 = e4 | all_0_82_82 = e3 | all_0_82_82 = e0
% 48.07/17.30  																																		|
% 48.07/17.30  																																			+-Applying beta-rule and splitting (2205), into two cases.
% 48.07/17.30  																																			|-Branch one:
% 48.07/17.30  																																			| (789) all_0_82_82 = e3
% 48.07/17.30  																																			|
% 48.07/17.30  																																				| Equations (789) can reduce 793 to:
% 48.07/17.30  																																				| (311) $false
% 48.07/17.30  																																				|
% 48.07/17.30  																																				|-The branch is then unsatisfiable
% 48.07/17.30  																																			|-Branch two:
% 48.07/17.30  																																			| (793)  ~ (all_0_82_82 = e3)
% 48.07/17.30  																																			| (2706) all_0_82_82 = e4 | all_0_82_82 = e0
% 48.07/17.30  																																			|
% 48.07/17.30  																																				+-Applying beta-rule and splitting (2706), into two cases.
% 48.07/17.30  																																				|-Branch one:
% 48.07/17.30  																																				| (910) all_0_82_82 = e0
% 48.07/17.30  																																				|
% 48.07/17.30  																																					| Equations (910) can reduce 914 to:
% 48.07/17.30  																																					| (311) $false
% 48.07/17.30  																																					|
% 48.07/17.30  																																					|-The branch is then unsatisfiable
% 48.07/17.30  																																				|-Branch two:
% 48.07/17.30  																																				| (914)  ~ (all_0_82_82 = e0)
% 48.07/17.30  																																				| (469) all_0_82_82 = e4
% 48.07/17.30  																																				|
% 48.07/17.30  																																					| Equations (469) can reduce 465 to:
% 48.07/17.30  																																					| (311) $false
% 48.07/17.30  																																					|
% 48.07/17.30  																																					|-The branch is then unsatisfiable
% 48.07/17.30  																																|-Branch two:
% 48.07/17.30  																																| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.30  																																| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 48.07/17.30  																																|
% 48.07/17.30  																																	+-Applying beta-rule and splitting (3765), into two cases.
% 48.07/17.30  																																	|-Branch one:
% 48.07/17.30  																																	| (882) all_0_92_92 = e3
% 48.07/17.30  																																	|
% 48.07/17.30  																																		| Combining equations (882,1343) yields a new equation:
% 48.07/17.30  																																		| (547) e3 = e2
% 48.07/17.30  																																		|
% 48.07/17.30  																																		| Simplifying 547 yields:
% 48.07/17.30  																																		| (548) e3 = e2
% 48.07/17.30  																																		|
% 48.07/17.30  																																		| Equations (548) can reduce 169 to:
% 48.07/17.30  																																		| (311) $false
% 48.07/17.30  																																		|
% 48.07/17.30  																																		|-The branch is then unsatisfiable
% 48.07/17.30  																																	|-Branch two:
% 48.07/17.30  																																	| (426)  ~ (all_0_92_92 = e3)
% 48.07/17.30  																																	| (556) all_0_97_97 = e3
% 48.07/17.30  																																	|
% 48.07/17.30  																																		| Combining equations (560,556) yields a new equation:
% 48.07/17.30  																																		| (600) e3 = e0
% 48.07/17.30  																																		|
% 48.07/17.30  																																		| Equations (600) can reduce 50 to:
% 48.07/17.30  																																		| (311) $false
% 48.07/17.30  																																		|
% 48.07/17.30  																																		|-The branch is then unsatisfiable
% 48.07/17.30  																											|-Branch two:
% 48.07/17.30  																											| (1487)  ~ (all_0_91_91 = e0)
% 48.07/17.30  																											| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 48.07/17.30  																											|
% 48.07/17.30  																												+-Applying beta-rule and splitting (1488), into two cases.
% 48.07/17.30  																												|-Branch one:
% 48.07/17.30  																												| (942) all_0_92_92 = e0
% 48.07/17.30  																												|
% 48.07/17.30  																													| Combining equations (942,1343) yields a new equation:
% 48.07/17.30  																													| (379) e2 = e0
% 48.07/17.30  																													|
% 48.07/17.30  																													| Equations (379) can reduce 76 to:
% 48.07/17.30  																													| (311) $false
% 48.07/17.30  																													|
% 48.07/17.30  																													|-The branch is then unsatisfiable
% 48.07/17.30  																												|-Branch two:
% 48.07/17.30  																												| (946)  ~ (all_0_92_92 = e0)
% 48.07/17.30  																												| (604) all_0_93_93 = e0
% 48.07/17.30  																												|
% 48.07/17.30  																													| Equations (604) can reduce 509 to:
% 48.07/17.30  																													| (311) $false
% 48.07/17.30  																													|
% 48.07/17.30  																													|-The branch is then unsatisfiable
% 48.07/17.30  																	|-Branch two:
% 48.07/17.30  																	| (298)  ~ (all_0_92_92 = e2)
% 48.07/17.30  																	| (538) all_0_97_97 = e2
% 48.07/17.30  																	|
% 48.07/17.30  																		| Equations (538) can reduce 527 to:
% 48.07/17.30  																		| (311) $false
% 48.07/17.30  																		|
% 48.07/17.30  																		|-The branch is then unsatisfiable
% 48.07/17.30  													|-Branch two:
% 48.07/17.30  													| (346)  ~ (all_0_78_78 = e2)
% 48.07/17.30  													| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 48.07/17.30  													|
% 48.07/17.30  														+-Applying beta-rule and splitting (101), into two cases.
% 48.07/17.30  														|-Branch one:
% 48.07/17.30  														| (400) all_0_78_78 = e2
% 48.07/17.30  														|
% 48.07/17.30  															| Equations (400) can reduce 346 to:
% 48.07/17.30  															| (311) $false
% 48.07/17.30  															|
% 48.07/17.30  															|-The branch is then unsatisfiable
% 48.07/17.30  														|-Branch two:
% 48.07/17.30  														| (346)  ~ (all_0_78_78 = e2)
% 48.07/17.30  														| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 48.07/17.30  														|
% 48.07/17.30  															+-Applying beta-rule and splitting (403), into two cases.
% 48.07/17.30  															|-Branch one:
% 48.07/17.30  															| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 48.07/17.30  															|
% 48.07/17.30  																+-Applying beta-rule and splitting (404), into two cases.
% 48.07/17.30  																|-Branch one:
% 48.07/17.30  																| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 48.07/17.30  																|
% 48.07/17.30  																	| Applying alpha-rule on (405) yields:
% 48.07/17.30  																	| (406) all_0_39_39 = e1
% 48.07/17.30  																	| (407)  ~ (all_0_40_40 = e4)
% 48.07/17.30  																	|
% 48.07/17.30  																	| Combining equations (406,30566) yields a new equation:
% 48.07/17.30  																	| (1107) e1 = e0
% 48.07/17.30  																	|
% 48.07/17.30  																	| Simplifying 1107 yields:
% 48.07/17.30  																	| (865) e1 = e0
% 48.07/17.30  																	|
% 48.07/17.30  																	| Equations (865) can reduce 264 to:
% 48.07/17.30  																	| (311) $false
% 48.07/17.31  																	|
% 48.07/17.31  																	|-The branch is then unsatisfiable
% 48.07/17.31  																|-Branch two:
% 48.07/17.31  																| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 48.07/17.31  																|
% 48.07/17.31  																	| Applying alpha-rule on (411) yields:
% 48.07/17.31  																	| (337) all_0_41_41 = e0
% 48.07/17.31  																	| (413)  ~ (all_0_42_42 = e4)
% 48.07/17.31  																	|
% 48.07/17.31  																	| Combining equations (30560,337) yields a new equation:
% 48.07/17.31  																	| (37985) all_0_79_79 = e0
% 48.07/17.31  																	|
% 48.07/17.31  																	| Simplifying 37985 yields:
% 48.07/17.31  																	| (37986) all_0_79_79 = e0
% 48.07/17.31  																	|
% 48.07/17.31  																	| Equations (37986) can reduce 9 to:
% 48.07/17.31  																	| (311) $false
% 48.07/17.31  																	|
% 48.07/17.31  																	|-The branch is then unsatisfiable
% 48.07/17.31  															|-Branch two:
% 48.07/17.31  															| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 48.07/17.31  															|
% 48.07/17.31  																| Applying alpha-rule on (415) yields:
% 48.07/17.31  																| (416) all_0_80_80 = e3
% 48.07/17.31  																| (417)  ~ (all_0_84_84 = e4)
% 48.07/17.31  																|
% 48.07/17.31  																| Equations (416) can reduce 273 to:
% 48.07/17.31  																| (421)  ~ (all_0_84_84 = e3)
% 48.07/17.31  																|
% 48.07/17.31  																| Simplifying 421 yields:
% 48.07/17.31  																| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.31  																|
% 48.07/17.31  																| Equations (416) can reduce 49 to:
% 48.07/17.31  																| (425)  ~ (all_0_92_92 = e3)
% 48.07/17.31  																|
% 48.07/17.31  																| Simplifying 425 yields:
% 48.07/17.31  																| (426)  ~ (all_0_92_92 = e3)
% 48.07/17.31  																|
% 48.07/17.31  																+-Applying beta-rule and splitting (92), into two cases.
% 48.07/17.31  																|-Branch one:
% 48.07/17.31  																| (552) all_0_84_84 = e2
% 48.07/17.31  																|
% 48.07/17.31  																	| Equations (552) can reduce 612 to:
% 48.07/17.31  																	| (311) $false
% 48.07/17.31  																	|
% 48.07/17.31  																	|-The branch is then unsatisfiable
% 48.07/17.31  																|-Branch two:
% 48.07/17.31  																| (612)  ~ (all_0_84_84 = e2)
% 48.07/17.31  																| (617) all_0_84_84 = e4 | all_0_84_84 = e3 | all_0_84_84 = e0
% 48.07/17.31  																|
% 48.07/17.31  																	+-Applying beta-rule and splitting (617), into two cases.
% 48.07/17.31  																	|-Branch one:
% 48.07/17.31  																	| (1265) all_0_84_84 = e3
% 48.07/17.31  																	|
% 48.07/17.31  																		| Equations (1265) can reduce 422 to:
% 48.07/17.31  																		| (311) $false
% 48.07/17.31  																		|
% 48.07/17.31  																		|-The branch is then unsatisfiable
% 48.07/17.31  																	|-Branch two:
% 48.07/17.31  																	| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.31  																	| (1268) all_0_84_84 = e4 | all_0_84_84 = e0
% 48.07/17.31  																	|
% 48.07/17.31  																		+-Applying beta-rule and splitting (1268), into two cases.
% 48.07/17.31  																		|-Branch one:
% 48.07/17.31  																		| (916) all_0_84_84 = e0
% 48.07/17.31  																		|
% 48.07/17.31  																			| Equations (916) can reduce 87 to:
% 48.07/17.31  																			| (2299)  ~ (all_0_92_92 = e0)
% 48.07/17.31  																			|
% 48.07/17.31  																			| Simplifying 2299 yields:
% 48.07/17.31  																			| (946)  ~ (all_0_92_92 = e0)
% 48.07/17.31  																			|
% 48.07/17.31  																			+-Applying beta-rule and splitting (119), into two cases.
% 48.07/17.31  																			|-Branch one:
% 48.07/17.31  																			| (1343) all_0_92_92 = e2
% 48.07/17.31  																			|
% 48.07/17.31  																				| Equations (1343) can reduce 426 to:
% 48.07/17.31  																				| (356)  ~ (e3 = e2)
% 48.07/17.31  																				|
% 48.07/17.31  																				| Simplifying 356 yields:
% 48.07/17.31  																				| (169)  ~ (e3 = e2)
% 48.07/17.31  																				|
% 48.07/17.31  																				+-Applying beta-rule and splitting (1658), into two cases.
% 48.07/17.31  																				|-Branch one:
% 48.07/17.31  																				| (390) all_0_79_79 = e2
% 48.07/17.31  																				|
% 48.07/17.31  																					| Equations (390) can reduce 1622 to:
% 48.07/17.31  																					| (311) $false
% 48.07/17.31  																					|
% 48.07/17.31  																					|-The branch is then unsatisfiable
% 48.07/17.31  																				|-Branch two:
% 48.07/17.31  																				| (1622)  ~ (all_0_79_79 = e2)
% 48.07/17.31  																				| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 48.07/17.31  																				|
% 48.07/17.31  																					+-Applying beta-rule and splitting (3249), into two cases.
% 48.07/17.31  																					|-Branch one:
% 48.07/17.31  																					| (546) all_0_80_80 = e2
% 48.07/17.31  																					|
% 48.07/17.31  																						| Combining equations (416,546) yields a new equation:
% 48.07/17.31  																						| (547) e3 = e2
% 48.07/17.31  																						|
% 48.07/17.31  																						| Simplifying 547 yields:
% 48.07/17.31  																						| (548) e3 = e2
% 48.07/17.31  																						|
% 48.07/17.31  																						| Equations (548) can reduce 169 to:
% 48.07/17.31  																						| (311) $false
% 48.07/17.31  																						|
% 48.07/17.31  																						|-The branch is then unsatisfiable
% 48.07/17.31  																					|-Branch two:
% 48.07/17.31  																					| (394)  ~ (all_0_80_80 = e2)
% 48.07/17.31  																					| (473) all_0_81_81 = e2
% 48.07/17.31  																					|
% 48.07/17.31  																						| Equations (473) can reduce 396 to:
% 48.07/17.31  																						| (311) $false
% 48.07/17.31  																						|
% 48.07/17.31  																						|-The branch is then unsatisfiable
% 48.07/17.31  																			|-Branch two:
% 48.07/17.31  																			| (298)  ~ (all_0_92_92 = e2)
% 48.07/17.31  																			| (3735) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e1 | all_0_92_92 = e0
% 48.07/17.31  																			|
% 48.07/17.31  																				+-Applying beta-rule and splitting (3735), into two cases.
% 48.07/17.31  																				|-Branch one:
% 48.07/17.31  																				| (836) all_0_92_92 = e1
% 48.07/17.31  																				|
% 48.07/17.31  																					| Equations (836) can reduce 840 to:
% 48.07/17.31  																					| (311) $false
% 48.07/17.31  																					|
% 48.07/17.31  																					|-The branch is then unsatisfiable
% 48.07/17.31  																				|-Branch two:
% 48.07/17.31  																				| (840)  ~ (all_0_92_92 = e1)
% 48.07/17.31  																				| (3800) all_0_92_92 = e4 | all_0_92_92 = e3 | all_0_92_92 = e0
% 48.07/17.31  																				|
% 48.07/17.31  																					+-Applying beta-rule and splitting (3800), into two cases.
% 48.07/17.31  																					|-Branch one:
% 48.07/17.31  																					| (882) all_0_92_92 = e3
% 48.07/17.31  																					|
% 48.07/17.31  																						| Equations (882) can reduce 426 to:
% 48.07/17.31  																						| (311) $false
% 48.07/17.31  																						|
% 48.07/17.31  																						|-The branch is then unsatisfiable
% 48.07/17.31  																					|-Branch two:
% 48.07/17.31  																					| (426)  ~ (all_0_92_92 = e3)
% 48.07/17.31  																					| (16683) all_0_92_92 = e4 | all_0_92_92 = e0
% 48.07/17.31  																					|
% 48.07/17.31  																						+-Applying beta-rule and splitting (16683), into two cases.
% 48.07/17.31  																						|-Branch one:
% 48.07/17.31  																						| (942) all_0_92_92 = e0
% 48.07/17.31  																						|
% 48.07/17.31  																							| Equations (942) can reduce 946 to:
% 48.07/17.31  																							| (311) $false
% 48.07/17.31  																							|
% 48.07/17.31  																							|-The branch is then unsatisfiable
% 48.07/17.31  																						|-Branch two:
% 48.07/17.31  																						| (946)  ~ (all_0_92_92 = e0)
% 48.07/17.31  																						| (442) all_0_92_92 = e4
% 48.07/17.31  																						|
% 48.07/17.31  																							| Equations (442) can reduce 1619 to:
% 48.07/17.31  																							| (311) $false
% 48.07/17.31  																							|
% 48.07/17.31  																							|-The branch is then unsatisfiable
% 48.07/17.31  																		|-Branch two:
% 48.07/17.31  																		| (919)  ~ (all_0_84_84 = e0)
% 48.07/17.31  																		| (438) all_0_84_84 = e4
% 48.07/17.31  																		|
% 48.07/17.31  																			| Equations (438) can reduce 417 to:
% 48.07/17.31  																			| (311) $false
% 48.07/17.31  																			|
% 48.07/17.31  																			|-The branch is then unsatisfiable
% 48.07/17.31  											|-Branch two:
% 48.07/17.31  											| (398)  ~ (all_0_83_83 = e2)
% 48.07/17.31  											| (456) all_0_83_83 = e3 | all_0_83_83 = e0
% 48.07/17.31  											|
% 48.07/17.31  												+-Applying beta-rule and splitting (1627), into two cases.
% 48.07/17.31  												|-Branch one:
% 48.07/17.31  												| (453) all_0_83_83 = e2
% 48.07/17.31  												|
% 48.07/17.31  													| Equations (453) can reduce 398 to:
% 48.07/17.31  													| (311) $false
% 48.07/17.31  													|
% 48.07/17.31  													|-The branch is then unsatisfiable
% 48.07/17.31  												|-Branch two:
% 48.07/17.31  												| (398)  ~ (all_0_83_83 = e2)
% 48.07/17.31  												| (8061) all_0_91_91 = e2 | all_0_96_96 = e2
% 48.07/17.31  												|
% 48.07/17.31  													+-Applying beta-rule and splitting (8061), into two cases.
% 48.07/17.31  													|-Branch one:
% 48.07/17.31  													| (1723) all_0_91_91 = e2
% 48.07/17.31  													|
% 48.07/17.31  														| Equations (1723) can reduce 17 to:
% 48.07/17.31  														| (1622)  ~ (all_0_79_79 = e2)
% 48.07/17.31  														|
% 48.07/17.31  														| Equations (1723) can reduce 265 to:
% 48.07/17.31  														| (297)  ~ (all_0_92_92 = e2)
% 48.07/17.31  														|
% 48.07/17.31  														| Simplifying 297 yields:
% 48.07/17.31  														| (298)  ~ (all_0_92_92 = e2)
% 48.07/17.31  														|
% 48.07/17.31  														| Equations (1723) can reduce 64 to:
% 48.07/17.32  														| (1637)  ~ (all_0_96_96 = e2)
% 48.07/17.32  														|
% 48.07/17.32  														| Simplifying 1637 yields:
% 48.07/17.32  														| (1638)  ~ (all_0_96_96 = e2)
% 48.07/17.32  														|
% 48.07/17.32  														| Equations (1723) can reduce 133 to:
% 48.07/17.32  														| (528)  ~ (e4 = e2)
% 48.07/17.32  														|
% 48.07/17.32  														| Simplifying 528 yields:
% 48.07/17.32  														| (79)  ~ (e4 = e2)
% 48.07/17.32  														|
% 48.07/17.32  														| From (1723) and (222) follows:
% 48.07/17.32  														| (37229) op(e2, e2) = all_0_56_56
% 48.07/17.32  														|
% 48.07/17.32  														| Instantiating formula (262) with e2, e2, all_0_56_56, e4 and discharging atoms op(e2, e2) = all_0_56_56, op(e2, e2) = e4, yields:
% 48.07/17.32  														| (37236) all_0_56_56 = e4
% 48.07/17.32  														|
% 48.07/17.32  														+-Applying beta-rule and splitting (219), into two cases.
% 48.07/17.32  														|-Branch one:
% 48.07/17.32  														| (798) all_0_83_83 = e0
% 48.07/17.32  														|
% 48.07/17.32  															| Equations (798) can reduce 272 to:
% 48.07/17.32  															| (9)  ~ (all_0_79_79 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Equations (798) can reduce 223 to:
% 48.07/17.32  															| (2207)  ~ (all_0_84_84 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Simplifying 2207 yields:
% 48.07/17.32  															| (919)  ~ (all_0_84_84 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Equations (798) can reduce 211 to:
% 48.07/17.32  															| (2296)  ~ (all_0_96_96 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Simplifying 2296 yields:
% 48.07/17.32  															| (2095)  ~ (all_0_96_96 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Equations (798) can reduce 113 to:
% 48.07/17.32  															| (859)  ~ (e1 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| Simplifying 859 yields:
% 48.07/17.32  															| (264)  ~ (e1 = e0)
% 48.07/17.32  															|
% 48.07/17.32  															| From (798) and (174) follows:
% 48.07/17.32  															| (22884) op(e3, e2) = e0
% 48.07/17.32  															|
% 48.07/17.32  															| From (798) and (206) follows:
% 48.07/17.32  															| (8092) op(e2, e0) = all_0_54_54
% 48.07/17.32  															|
% 48.07/17.32  															| Instantiating formula (262) with e2, e0, all_0_54_54, e2 and discharging atoms op(e2, e0) = all_0_54_54, op(e2, e0) = e2, yields:
% 48.07/17.32  															| (8281) all_0_54_54 = e2
% 48.07/17.32  															|
% 48.07/17.32  															+-Applying beta-rule and splitting (127), into two cases.
% 48.07/17.32  															|-Branch one:
% 48.07/17.32  															| (457) all_0_79_79 = e1
% 48.07/17.32  															|
% 48.07/17.32  																| Combining equations (457,30560) yields a new equation:
% 48.07/17.32  																| (41260) all_0_41_41 = e1
% 48.07/17.32  																|
% 48.07/17.32  																| Equations (457) can reduce 66 to:
% 48.07/17.32  																| (1601)  ~ (all_0_78_78 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Equations (457) can reduce 63 to:
% 48.07/17.32  																| (1665)  ~ (all_0_80_80 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Simplifying 1665 yields:
% 48.07/17.32  																| (828)  ~ (all_0_80_80 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Equations (457) can reduce 15 to:
% 48.07/17.32  																| (1667)  ~ (all_0_81_81 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Simplifying 1667 yields:
% 48.07/17.32  																| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Equations (457) can reduce 1622 to:
% 48.07/17.32  																| (487)  ~ (e2 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Simplifying 487 yields:
% 48.07/17.32  																| (243)  ~ (e2 = e1)
% 48.07/17.32  																|
% 48.07/17.32  																| Equations (457) can reduce 9 to:
% 48.07/17.32  																| (264)  ~ (e1 = e0)
% 48.07/17.32  																|
% 48.07/17.32  																+-Applying beta-rule and splitting (285), into two cases.
% 48.07/17.32  																|-Branch one:
% 48.07/17.32  																| (1708) all_0_79_79 = e3
% 48.07/17.32  																|
% 48.07/17.32  																	| Combining equations (457,1708) yields a new equation:
% 48.07/17.32  																	| (772) e3 = e1
% 48.07/17.32  																	|
% 48.07/17.32  																	| Equations (772) can reduce 20 to:
% 48.07/17.32  																	| (311) $false
% 48.07/17.32  																	|
% 48.07/17.32  																	|-The branch is then unsatisfiable
% 48.07/17.32  																|-Branch two:
% 48.07/17.32  																| (1711)  ~ (all_0_79_79 = e3)
% 48.07/17.32  																| (1712) all_0_83_83 = e3 | all_0_91_91 = e3 | all_0_96_96 = e3
% 48.07/17.32  																|
% 48.07/17.32  																	+-Applying beta-rule and splitting (1712), into two cases.
% 48.07/17.32  																	|-Branch one:
% 48.07/17.32  																	| (795) all_0_83_83 = e3
% 48.07/17.32  																	|
% 48.07/17.32  																		| Combining equations (795,798) yields a new equation:
% 48.07/17.32  																		| (599) e3 = e0
% 48.07/17.32  																		|
% 48.07/17.32  																		| Simplifying 599 yields:
% 48.07/17.32  																		| (600) e3 = e0
% 48.07/17.32  																		|
% 48.07/17.32  																		| Equations (600) can reduce 50 to:
% 48.07/17.32  																		| (311) $false
% 48.07/17.32  																		|
% 48.07/17.32  																		|-The branch is then unsatisfiable
% 48.07/17.32  																	|-Branch two:
% 48.07/17.32  																	| (779)  ~ (all_0_83_83 = e3)
% 48.07/17.32  																	| (1842) all_0_91_91 = e3 | all_0_96_96 = e3
% 48.07/17.32  																	|
% 48.07/17.32  																		+-Applying beta-rule and splitting (1842), into two cases.
% 48.07/17.32  																		|-Branch one:
% 48.07/17.32  																		| (588) all_0_91_91 = e3
% 48.07/17.32  																		|
% 48.07/17.32  																			| Combining equations (588,1723) yields a new equation:
% 48.07/17.32  																			| (547) e3 = e2
% 48.07/17.32  																			|
% 48.07/17.32  																			| Simplifying 547 yields:
% 48.07/17.32  																			| (548) e3 = e2
% 48.07/17.32  																			|
% 48.07/17.32  																			| Equations (548) can reduce 169 to:
% 48.07/17.32  																			| (311) $false
% 48.07/17.32  																			|
% 48.07/17.32  																			|-The branch is then unsatisfiable
% 48.07/17.32  																		|-Branch two:
% 48.07/17.32  																		| (571)  ~ (all_0_91_91 = e3)
% 48.07/17.32  																		| (778) all_0_96_96 = e3
% 48.07/17.32  																		|
% 48.07/17.32  																			| Equations (778) can reduce 279 to:
% 48.07/17.32  																			| (765)  ~ (all_0_95_95 = e3)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Equations (778) can reduce 22 to:
% 48.07/17.32  																			| (427)  ~ (all_0_97_97 = e3)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Simplifying 427 yields:
% 48.07/17.32  																			| (428)  ~ (all_0_97_97 = e3)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Equations (778) can reduce 115 to:
% 48.07/17.32  																			| (783)  ~ (e4 = e3)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Simplifying 783 yields:
% 48.07/17.32  																			| (177)  ~ (e4 = e3)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Equations (778) can reduce 1638 to:
% 48.07/17.32  																			| (169)  ~ (e3 = e2)
% 48.07/17.32  																			|
% 48.07/17.32  																			| Equations (778) can reduce 2095 to:
% 48.07/17.32  																			| (50)  ~ (e3 = e0)
% 48.07/17.32  																			|
% 48.07/17.32  																			+-Applying beta-rule and splitting (101), into two cases.
% 48.07/17.32  																			|-Branch one:
% 48.07/17.32  																			| (400) all_0_78_78 = e2
% 48.07/17.32  																			|
% 48.07/17.32  																				| Equations (400) can reduce 67 to:
% 48.07/17.32  																				| (393)  ~ (all_0_80_80 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Simplifying 393 yields:
% 48.07/17.32  																				| (394)  ~ (all_0_80_80 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Equations (400) can reduce 278 to:
% 48.07/17.32  																				| (395)  ~ (all_0_81_81 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Simplifying 395 yields:
% 48.07/17.32  																				| (396)  ~ (all_0_81_81 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Equations (400) can reduce 85 to:
% 48.07/17.32  																				| (293)  ~ (all_0_90_90 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Simplifying 293 yields:
% 48.07/17.32  																				| (294)  ~ (all_0_90_90 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Equations (400) can reduce 125 to:
% 48.07/17.32  																				| (354)  ~ (all_0_95_95 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Simplifying 354 yields:
% 48.07/17.32  																				| (355)  ~ (all_0_95_95 = e2)
% 48.07/17.32  																				|
% 48.07/17.32  																				| Equations (400) can reduce 1601 to:
% 48.07/17.32  																				| (243)  ~ (e2 = e1)
% 48.07/17.32  																				|
% 48.07/17.32  																				| From (400) and (138) follows:
% 48.07/17.32  																				| (9983) op(e3, e2) = all_0_43_43
% 48.07/17.32  																				|
% 48.07/17.32  																				+-Applying beta-rule and splitting (192), into two cases.
% 48.07/17.32  																				|-Branch one:
% 48.07/17.32  																				| (546) all_0_80_80 = e2
% 48.07/17.32  																				|
% 48.07/17.32  																					| Equations (546) can reduce 394 to:
% 48.07/17.32  																					| (311) $false
% 48.07/17.32  																					|
% 48.07/17.32  																					|-The branch is then unsatisfiable
% 48.07/17.32  																				|-Branch two:
% 48.07/17.32  																				| (394)  ~ (all_0_80_80 = e2)
% 48.07/17.32  																				| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 48.07/17.32  																				|
% 48.07/17.32  																					+-Applying beta-rule and splitting (551), into two cases.
% 48.07/17.32  																					|-Branch one:
% 48.07/17.32  																					| (552) all_0_84_84 = e2
% 48.07/17.32  																					|
% 48.07/17.32  																						| Equations (552) can reduce 273 to:
% 48.07/17.32  																						| (394)  ~ (all_0_80_80 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Equations (552) can reduce 7 to:
% 48.07/17.32  																						| (347)  ~ (all_0_82_82 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Equations (552) can reduce 154 to:
% 48.07/17.32  																						| (691)  ~ (all_0_85_85 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Simplifying 691 yields:
% 48.07/17.32  																						| (515)  ~ (all_0_85_85 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Equations (552) can reduce 195 to:
% 48.07/17.32  																						| (2376)  ~ (all_0_97_97 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Simplifying 2376 yields:
% 48.07/17.32  																						| (527)  ~ (all_0_97_97 = e2)
% 48.07/17.32  																						|
% 48.07/17.32  																						| Equations (552) can reduce 919 to:
% 48.07/17.32  																						| (76)  ~ (e2 = e0)
% 48.07/17.32  																						|
% 48.07/17.32  																						| From (552) and (150) follows:
% 48.07/17.32  																						| (22965) op(e3, e2) = all_0_63_63
% 48.07/17.32  																						|
% 48.07/17.32  																						| From (552) and (232) follows:
% 48.07/17.32  																						| (22966) op(e3, e1) = e2
% 48.07/17.32  																						|
% 48.07/17.32  																						| Instantiating formula (262) with e3, e2, all_0_43_43, e0 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = e0, yields:
% 48.07/17.33  																						| (22968) all_0_43_43 = e0
% 48.07/17.33  																						|
% 48.07/17.33  																						| Instantiating formula (262) with e3, e2, all_0_63_63, all_0_43_43 and discharging atoms op(e3, e2) = all_0_43_43, op(e3, e2) = all_0_63_63, yields:
% 48.07/17.33  																						| (22969) all_0_43_43 = all_0_63_63
% 48.07/17.33  																						|
% 48.07/17.33  																						| Combining equations (22968,22969) yields a new equation:
% 48.07/17.33  																						| (4460) all_0_63_63 = e0
% 48.07/17.33  																						|
% 48.07/17.33  																						| Combining equations (4460,22969) yields a new equation:
% 48.07/17.33  																						| (22968) all_0_43_43 = e0
% 48.07/17.33  																						|
% 48.07/17.33  																						+-Applying beta-rule and splitting (56), into two cases.
% 48.07/17.33  																						|-Branch one:
% 48.07/17.33  																						| (463) all_0_78_78 = e4
% 48.07/17.33  																						|
% 48.07/17.33  																							| Combining equations (400,463) yields a new equation:
% 48.07/17.33  																							| (310) e4 = e2
% 48.07/17.33  																							|
% 48.07/17.33  																							| Equations (310) can reduce 79 to:
% 48.07/17.33  																							| (311) $false
% 48.07/17.33  																							|
% 48.07/17.33  																							|-The branch is then unsatisfiable
% 48.07/17.33  																						|-Branch two:
% 48.07/17.33  																						| (640)  ~ (all_0_78_78 = e4)
% 48.07/17.33  																						| (641) all_0_80_80 = e4 | all_0_81_81 = e4
% 48.07/17.33  																						|
% 48.07/17.33  																							| Equations (400) can reduce 640 to:
% 48.07/17.33  																							| (528)  ~ (e4 = e2)
% 48.07/17.33  																							|
% 48.07/17.33  																							| Simplifying 528 yields:
% 48.07/17.33  																							| (79)  ~ (e4 = e2)
% 48.07/17.33  																							|
% 48.07/17.33  																							+-Applying beta-rule and splitting (109), into two cases.
% 48.07/17.33  																							|-Branch one:
% 48.07/17.33  																							| (469) all_0_82_82 = e4
% 48.07/17.33  																							|
% 48.07/17.33  																								| Equations (469) can reduce 255 to:
% 48.07/17.33  																								| (466)  ~ (all_0_90_90 = e4)
% 48.07/17.33  																								|
% 48.07/17.33  																								| Simplifying 466 yields:
% 48.07/17.33  																								| (467)  ~ (all_0_90_90 = e4)
% 48.07/17.33  																								|
% 48.07/17.33  																								| Equations (469) can reduce 200 to:
% 48.07/17.33  																								| (314)  ~ (all_0_95_95 = e4)
% 48.07/17.33  																								|
% 48.07/17.33  																								| Simplifying 314 yields:
% 48.07/17.33  																								| (315)  ~ (all_0_95_95 = e4)
% 48.07/17.33  																								|
% 48.07/17.33  																								| Equations (469) can reduce 347 to:
% 48.07/17.33  																								| (79)  ~ (e4 = e2)
% 48.07/17.33  																								|
% 48.07/17.33  																								| From (469) and (61) follows:
% 48.07/17.33  																								| (671) op(e3, e3) = e4
% 48.07/17.33  																								|
% 48.07/17.33  																								+-Applying beta-rule and splitting (99), into two cases.
% 48.07/17.33  																								|-Branch one:
% 48.07/17.33  																								| (767) all_0_95_95 = e2
% 48.07/17.33  																								|
% 48.07/17.33  																									| Equations (767) can reduce 355 to:
% 48.07/17.33  																									| (311) $false
% 48.07/17.33  																									|
% 48.07/17.33  																									|-The branch is then unsatisfiable
% 48.07/17.33  																								|-Branch two:
% 48.07/17.33  																								| (355)  ~ (all_0_95_95 = e2)
% 48.07/17.33  																								| (770) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e1 | all_0_95_95 = e0
% 48.07/17.33  																								|
% 48.07/17.33  																									+-Applying beta-rule and splitting (171), into two cases.
% 48.07/17.33  																									|-Branch one:
% 48.07/17.33  																									| (789) all_0_82_82 = e3
% 48.07/17.33  																									|
% 48.07/17.33  																										| Combining equations (469,789) yields a new equation:
% 48.07/17.33  																										| (790) e4 = e3
% 48.07/17.33  																										|
% 48.07/17.33  																										| Simplifying 790 yields:
% 48.07/17.33  																										| (434) e4 = e3
% 48.07/17.33  																										|
% 48.07/17.33  																										| Equations (434) can reduce 177 to:
% 48.07/17.33  																										| (311) $false
% 48.07/17.33  																										|
% 48.07/17.33  																										|-The branch is then unsatisfiable
% 48.07/17.33  																									|-Branch two:
% 48.07/17.33  																									| (793)  ~ (all_0_82_82 = e3)
% 48.07/17.33  																									| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 48.07/17.33  																									|
% 48.07/17.33  																										+-Applying beta-rule and splitting (1296), into two cases.
% 48.07/17.33  																										|-Branch one:
% 48.07/17.33  																										| (795) all_0_83_83 = e3
% 48.07/17.33  																										|
% 48.07/17.33  																											| Combining equations (798,795) yields a new equation:
% 48.07/17.33  																											| (600) e3 = e0
% 48.07/17.33  																											|
% 48.07/17.33  																											| Equations (600) can reduce 50 to:
% 48.07/17.33  																											| (311) $false
% 48.07/17.33  																											|
% 48.07/17.33  																											|-The branch is then unsatisfiable
% 48.07/17.33  																										|-Branch two:
% 48.07/17.33  																										| (779)  ~ (all_0_83_83 = e3)
% 48.07/17.33  																										| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 48.07/17.33  																										|
% 48.07/17.33  																											+-Applying beta-rule and splitting (770), into two cases.
% 48.07/17.33  																											|-Branch one:
% 48.07/17.33  																											| (785) all_0_95_95 = e1
% 48.07/17.33  																											|
% 48.07/17.33  																												| Equations (785) can reduce 229 to:
% 48.07/17.33  																												| (678)  ~ (all_0_90_90 = e1)
% 48.07/17.33  																												|
% 48.07/17.33  																												| Equations (785) can reduce 105 to:
% 48.07/17.33  																												| (485)  ~ (all_0_97_97 = e1)
% 48.07/17.33  																												|
% 48.07/17.33  																												| Simplifying 485 yields:
% 48.07/17.33  																												| (486)  ~ (all_0_97_97 = e1)
% 48.07/17.33  																												|
% 48.07/17.33  																												| Equations (785) can reduce 355 to:
% 48.07/17.33  																												| (487)  ~ (e2 = e1)
% 48.07/17.33  																												|
% 48.07/17.33  																												| Simplifying 487 yields:
% 48.07/17.33  																												| (243)  ~ (e2 = e1)
% 48.07/17.33  																												|
% 48.07/17.33  																												| Equations (785) can reduce 893 to:
% 48.07/17.33  																												| (264)  ~ (e1 = e0)
% 48.07/17.33  																												|
% 48.07/17.33  																												| From (785) and (121) follows:
% 48.07/17.33  																												| (29593) op(e3, e1) = all_0_50_50
% 48.07/17.33  																												|
% 48.07/17.33  																												+-Applying beta-rule and splitting (132), into two cases.
% 48.07/17.33  																												|-Branch one:
% 48.07/17.33  																												| (750) all_0_90_90 = e1
% 48.07/17.33  																												|
% 48.07/17.33  																													| Equations (750) can reduce 678 to:
% 48.07/17.33  																													| (311) $false
% 48.07/17.33  																													|
% 48.07/17.33  																													|-The branch is then unsatisfiable
% 48.07/17.33  																												|-Branch two:
% 48.07/17.33  																												| (678)  ~ (all_0_90_90 = e1)
% 48.07/17.33  																												| (1526) all_0_91_91 = e1 | all_0_92_92 = e1 | all_0_93_93 = e1
% 48.07/17.33  																												|
% 48.07/17.33  																													+-Applying beta-rule and splitting (27), into two cases.
% 48.07/17.33  																													|-Branch one:
% 48.07/17.33  																													| (746) all_0_90_90 = e2
% 48.07/17.33  																													|
% 48.07/17.33  																														| Equations (746) can reduce 294 to:
% 48.07/17.33  																														| (311) $false
% 48.07/17.33  																														|
% 48.07/17.33  																														|-The branch is then unsatisfiable
% 48.07/17.33  																													|-Branch two:
% 48.07/17.33  																													| (294)  ~ (all_0_90_90 = e2)
% 48.07/17.33  																													| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 48.07/17.33  																													|
% 48.07/17.33  																														+-Applying beta-rule and splitting (182), into two cases.
% 48.07/17.33  																														|-Branch one:
% 48.07/17.33  																														| (512) all_0_85_85 = e2
% 48.07/17.33  																														|
% 48.07/17.33  																															| Equations (512) can reduce 515 to:
% 48.07/17.33  																															| (311) $false
% 48.07/17.33  																															|
% 48.07/17.33  																															|-The branch is then unsatisfiable
% 48.07/17.33  																														|-Branch two:
% 48.07/17.33  																														| (515)  ~ (all_0_85_85 = e2)
% 48.07/17.33  																														| (725) all_0_85_85 = e4 | all_0_85_85 = e3 | all_0_85_85 = e0
% 48.07/17.33  																														|
% 48.07/17.33  																															+-Applying beta-rule and splitting (749), into two cases.
% 48.07/17.33  																															|-Branch one:
% 48.07/17.33  																															| (750) all_0_90_90 = e1
% 48.07/17.33  																															|
% 48.07/17.33  																																| Equations (750) can reduce 678 to:
% 48.07/17.33  																																| (311) $false
% 48.07/17.33  																																|
% 48.07/17.33  																																|-The branch is then unsatisfiable
% 48.07/17.33  																															|-Branch two:
% 48.07/17.33  																															| (678)  ~ (all_0_90_90 = e1)
% 48.07/17.33  																															| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 48.07/17.33  																															|
% 48.07/17.33  																																+-Applying beta-rule and splitting (1526), into two cases.
% 48.07/17.33  																																|-Branch one:
% 48.07/17.33  																																| (801) all_0_91_91 = e1
% 48.07/17.33  																																|
% 48.07/17.33  																																	| Combining equations (801,1723) yields a new equation:
% 48.07/17.33  																																	| (385) e2 = e1
% 48.07/17.33  																																	|
% 48.07/17.33  																																	| Equations (385) can reduce 243 to:
% 48.07/17.33  																																	| (311) $false
% 48.07/17.33  																																	|
% 48.07/17.33  																																	|-The branch is then unsatisfiable
% 48.07/17.33  																																|-Branch two:
% 48.07/17.33  																																| (959)  ~ (all_0_91_91 = e1)
% 48.07/17.33  																																| (1556) all_0_92_92 = e1 | all_0_93_93 = e1
% 48.07/17.33  																																|
% 48.07/17.33  																																	+-Applying beta-rule and splitting (1556), into two cases.
% 48.07/17.33  																																	|-Branch one:
% 48.07/17.33  																																	| (836) all_0_92_92 = e1
% 48.07/17.33  																																	|
% 48.07/17.33  																																		| Equations (836) can reduce 840 to:
% 48.07/17.33  																																		| (311) $false
% 48.07/17.33  																																		|
% 48.07/17.33  																																		|-The branch is then unsatisfiable
% 48.07/17.33  																																	|-Branch two:
% 48.07/17.33  																																	| (840)  ~ (all_0_92_92 = e1)
% 48.07/17.33  																																	| (566) all_0_93_93 = e1
% 48.07/17.33  																																	|
% 48.07/17.33  																																		| Equations (566) can reduce 277 to:
% 48.07/17.33  																																		| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.33  																																		|
% 48.07/17.33  																																		| Equations (566) can reduce 283 to:
% 48.07/17.33  																																		| (840)  ~ (all_0_92_92 = e1)
% 48.07/17.33  																																		|
% 48.07/17.33  																																		+-Applying beta-rule and splitting (291), into two cases.
% 48.07/17.33  																																		|-Branch one:
% 48.07/17.33  																																		| (758) all_0_90_90 = e0
% 48.07/17.33  																																		|
% 48.07/17.33  																																			| Equations (758) can reduce 762 to:
% 48.07/17.33  																																			| (311) $false
% 48.07/17.33  																																			|
% 48.07/17.33  																																			|-The branch is then unsatisfiable
% 48.07/17.33  																																		|-Branch two:
% 48.07/17.33  																																		| (762)  ~ (all_0_90_90 = e0)
% 48.07/17.33  																																		| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 48.07/17.33  																																		|
% 48.07/17.33  																																			+-Applying beta-rule and splitting (725), into two cases.
% 48.07/17.33  																																			|-Branch one:
% 48.07/17.33  																																			| (804) all_0_85_85 = e3
% 48.07/17.33  																																			|
% 48.07/17.33  																																				| Combining equations (804,9576) yields a new equation:
% 48.07/17.33  																																				| (47592) all_0_46_46 = e3
% 48.07/17.33  																																				|
% 48.07/17.33  																																				+-Applying beta-rule and splitting (753), into two cases.
% 48.07/17.33  																																				|-Branch one:
% 48.07/17.33  																																				| (754) all_0_90_90 = e3
% 48.07/17.33  																																				|
% 48.07/17.33  																																					| Equations (754) can reduce 72 to:
% 48.07/17.33  																																					| (425)  ~ (all_0_92_92 = e3)
% 48.07/17.33  																																					|
% 48.07/17.33  																																					| Simplifying 425 yields:
% 48.07/17.33  																																					| (426)  ~ (all_0_92_92 = e3)
% 48.07/17.33  																																					|
% 48.07/17.33  																																					| Equations (754) can reduce 467 to:
% 48.07/17.33  																																					| (783)  ~ (e4 = e3)
% 48.07/17.33  																																					|
% 48.07/17.33  																																					| Simplifying 783 yields:
% 48.07/17.33  																																					| (177)  ~ (e4 = e3)
% 48.07/17.33  																																					|
% 48.07/17.33  																																					| Equations (754) can reduce 294 to:
% 48.07/17.33  																																					| (169)  ~ (e3 = e2)
% 48.07/17.33  																																					|
% 48.07/17.33  																																					| From (754) and (217) follows:
% 48.07/17.34  																																					| (46747) op(e3, e3) = all_0_48_48
% 48.07/17.34  																																					|
% 48.07/17.34  																																					+-Applying beta-rule and splitting (207), into two cases.
% 48.07/17.34  																																					|-Branch one:
% 48.07/17.34  																																					| (416) all_0_80_80 = e3
% 48.07/17.34  																																					|
% 48.07/17.34  																																						| Equations (416) can reduce 144 to:
% 48.07/17.34  																																						| (419)  ~ (all_0_81_81 = e3)
% 48.07/17.34  																																						|
% 48.07/17.34  																																						| Simplifying 419 yields:
% 48.07/17.34  																																						| (420)  ~ (all_0_81_81 = e3)
% 48.07/17.34  																																						|
% 48.07/17.34  																																						| Equations (416) can reduce 394 to:
% 48.07/17.34  																																						| (169)  ~ (e3 = e2)
% 48.07/17.34  																																						|
% 48.07/17.34  																																						| Equations (416) can reduce 166 to:
% 48.07/17.34  																																						| (50)  ~ (e3 = e0)
% 48.07/17.34  																																						|
% 48.07/17.34  																																						+-Applying beta-rule and splitting (210), into two cases.
% 48.07/17.34  																																						|-Branch one:
% 48.07/17.34  																																						| (433) all_0_80_80 = e4
% 48.07/17.34  																																						|
% 48.07/17.34  																																							| Combining equations (416,433) yields a new equation:
% 48.07/17.34  																																							| (434) e4 = e3
% 48.07/17.34  																																							|
% 48.07/17.34  																																							| Equations (434) can reduce 177 to:
% 48.07/17.34  																																							| (311) $false
% 48.07/17.34  																																							|
% 48.07/17.34  																																							|-The branch is then unsatisfiable
% 48.07/17.34  																																						|-Branch two:
% 48.07/17.34  																																						| (436)  ~ (all_0_80_80 = e4)
% 48.07/17.34  																																						| (437) all_0_84_84 = e4 | all_0_92_92 = e4 | all_0_97_97 = e4
% 48.07/17.34  																																						|
% 48.07/17.34  																																							+-Applying beta-rule and splitting (437), into two cases.
% 48.07/17.34  																																							|-Branch one:
% 48.07/17.34  																																							| (438) all_0_84_84 = e4
% 48.07/17.34  																																							|
% 48.07/17.34  																																								| Combining equations (552,438) yields a new equation:
% 48.07/17.34  																																								| (310) e4 = e2
% 48.07/17.34  																																								|
% 48.07/17.34  																																								| Equations (310) can reduce 79 to:
% 48.07/17.34  																																								| (311) $false
% 48.07/17.34  																																								|
% 48.07/17.34  																																								|-The branch is then unsatisfiable
% 48.07/17.34  																																							|-Branch two:
% 48.07/17.34  																																							| (417)  ~ (all_0_84_84 = e4)
% 48.07/17.34  																																							| (441) all_0_92_92 = e4 | all_0_97_97 = e4
% 48.07/17.34  																																							|
% 48.07/17.34  																																								+-Applying beta-rule and splitting (123), into two cases.
% 48.07/17.34  																																								|-Branch one:
% 48.07/17.34  																																								| (473) all_0_81_81 = e2
% 48.07/17.34  																																								|
% 48.07/17.34  																																									| Equations (473) can reduce 396 to:
% 48.07/17.34  																																									| (311) $false
% 48.07/17.34  																																									|
% 48.07/17.34  																																									|-The branch is then unsatisfiable
% 48.07/17.34  																																								|-Branch two:
% 48.07/17.34  																																								| (396)  ~ (all_0_81_81 = e2)
% 48.07/17.34  																																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 48.07/17.34  																																								|
% 48.07/17.34  																																									+-Applying beta-rule and splitting (289), into two cases.
% 48.07/17.34  																																									|-Branch one:
% 48.07/17.34  																																									| (954) all_0_85_85 = e0
% 48.07/17.34  																																									|
% 48.07/17.34  																																										| Combining equations (804,954) yields a new equation:
% 48.07/17.34  																																										| (599) e3 = e0
% 48.07/17.34  																																										|
% 48.07/17.34  																																										| Simplifying 599 yields:
% 48.07/17.34  																																										| (600) e3 = e0
% 48.07/17.34  																																										|
% 48.07/17.34  																																										| Equations (600) can reduce 50 to:
% 48.07/17.34  																																										| (311) $false
% 48.07/17.34  																																										|
% 48.07/17.34  																																										|-The branch is then unsatisfiable
% 48.07/17.34  																																									|-Branch two:
% 48.07/17.34  																																									| (800)  ~ (all_0_85_85 = e0)
% 48.07/17.34  																																									| (1077) all_0_88_88 = e0 | all_0_93_93 = e0 | all_0_98_98 = e0
% 48.07/17.34  																																									|
% 48.07/17.34  																																										+-Applying beta-rule and splitting (1077), into two cases.
% 48.07/17.34  																																										|-Branch one:
% 48.07/17.34  																																										| (507) all_0_88_88 = e0
% 48.07/17.34  																																										|
% 48.07/17.34  																																											| Combining equations (370,507) yields a new equation:
% 48.07/17.34  																																											| (923) e2 = e0
% 48.07/17.34  																																											|
% 48.07/17.34  																																											| Simplifying 923 yields:
% 48.07/17.34  																																											| (379) e2 = e0
% 48.07/17.34  																																											|
% 48.07/17.34  																																											| Equations (379) can reduce 76 to:
% 48.07/17.34  																																											| (311) $false
% 48.07/17.34  																																											|
% 48.07/17.34  																																											|-The branch is then unsatisfiable
% 48.07/17.34  																																										|-Branch two:
% 48.07/17.34  																																										| (1110)  ~ (all_0_88_88 = e0)
% 48.07/17.34  																																										| (1111) all_0_93_93 = e0 | all_0_98_98 = e0
% 48.07/17.34  																																										|
% 48.07/17.34  																																											| Equations (370) can reduce 1110 to:
% 48.07/17.34  																																											| (76)  ~ (e2 = e0)
% 48.07/17.34  																																											|
% 48.07/17.34  																																											+-Applying beta-rule and splitting (476), into two cases.
% 48.07/17.34  																																											|-Branch one:
% 48.07/17.34  																																											| (477) all_0_81_81 = e1
% 48.07/17.34  																																											|
% 48.07/17.34  																																												| Equations (477) can reduce 628 to:
% 48.07/17.34  																																												| (311) $false
% 48.07/17.34  																																												|
% 48.07/17.34  																																												|-The branch is then unsatisfiable
% 48.07/17.34  																																											|-Branch two:
% 48.07/17.34  																																											| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.34  																																											| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 48.07/17.34  																																											|
% 48.07/17.34  																																												+-Applying beta-rule and splitting (629), into two cases.
% 48.07/17.34  																																												|-Branch one:
% 48.07/17.34  																																												| (635) all_0_81_81 = e3
% 48.07/17.34  																																												|
% 48.07/17.34  																																													| Equations (635) can reduce 420 to:
% 48.07/17.34  																																													| (311) $false
% 48.07/17.34  																																													|
% 48.07/17.34  																																													|-The branch is then unsatisfiable
% 48.07/17.34  																																												|-Branch two:
% 48.07/17.34  																																												| (420)  ~ (all_0_81_81 = e3)
% 48.07/17.34  																																												| (638) all_0_81_81 = e4
% 48.07/17.34  																																												|
% 48.07/17.34  																																													| Equations (638) can reduce 5 to:
% 48.07/17.34  																																													| (320)  ~ (all_0_98_98 = e4)
% 48.07/17.34  																																													|
% 48.07/17.34  																																													| Simplifying 320 yields:
% 48.07/17.34  																																													| (321)  ~ (all_0_98_98 = e4)
% 48.07/17.34  																																													|
% 48.07/17.34  																																													+-Applying beta-rule and splitting (48), into two cases.
% 48.07/17.34  																																													|-Branch one:
% 48.07/17.34  																																													| (525) all_0_98_98 = e2
% 48.07/17.34  																																													|
% 48.07/17.34  																																														| Equations (525) can reduce 1349 to:
% 48.07/17.34  																																														| (311) $false
% 48.07/17.34  																																														|
% 48.07/17.34  																																														|-The branch is then unsatisfiable
% 48.07/17.34  																																													|-Branch two:
% 48.07/17.34  																																													| (1349)  ~ (all_0_98_98 = e2)
% 48.07/17.34  																																													| (5118) all_0_98_98 = e4 | all_0_98_98 = e3 | all_0_98_98 = e1 | all_0_98_98 = e0
% 48.07/17.34  																																													|
% 48.07/17.34  																																														+-Applying beta-rule and splitting (1455), into two cases.
% 48.07/17.34  																																														|-Branch one:
% 48.07/17.34  																																														| (1456) all_0_91_91 = e0
% 48.07/17.34  																																														|
% 48.07/17.34  																																															| Combining equations (1723,1456) yields a new equation:
% 48.07/17.34  																																															| (923) e2 = e0
% 48.07/17.34  																																															|
% 48.07/17.34  																																															| Simplifying 923 yields:
% 48.07/17.34  																																															| (379) e2 = e0
% 48.07/17.34  																																															|
% 48.07/17.34  																																															| Equations (379) can reduce 76 to:
% 48.07/17.34  																																															| (311) $false
% 48.07/17.34  																																															|
% 48.07/17.34  																																															|-The branch is then unsatisfiable
% 48.07/17.34  																																														|-Branch two:
% 48.07/17.34  																																														| (1487)  ~ (all_0_91_91 = e0)
% 48.07/17.34  																																														| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 48.07/17.34  																																														|
% 48.07/17.34  																																															+-Applying beta-rule and splitting (1488), into two cases.
% 48.07/17.34  																																															|-Branch one:
% 48.07/17.34  																																															| (942) all_0_92_92 = e0
% 48.07/17.34  																																															|
% 48.07/17.34  																																																| Equations (942) can reduce 840 to:
% 48.07/17.34  																																																| (859)  ~ (e1 = e0)
% 48.07/17.34  																																																|
% 48.07/17.34  																																																| Simplifying 859 yields:
% 48.07/17.34  																																																| (264)  ~ (e1 = e0)
% 48.07/17.34  																																																|
% 48.07/17.34  																																																+-Applying beta-rule and splitting (102), into two cases.
% 48.07/17.34  																																																|-Branch one:
% 48.07/17.34  																																																| (858) all_0_95_95 = e0
% 48.07/17.34  																																																|
% 48.07/17.34  																																																	| Combining equations (858,785) yields a new equation:
% 48.07/17.34  																																																	| (865) e1 = e0
% 48.07/17.34  																																																	|
% 48.07/17.34  																																																	| Equations (865) can reduce 264 to:
% 48.07/17.34  																																																	| (311) $false
% 48.07/17.34  																																																	|
% 48.07/17.34  																																																	|-The branch is then unsatisfiable
% 48.07/17.34  																																																|-Branch two:
% 48.07/17.34  																																																| (893)  ~ (all_0_95_95 = e0)
% 48.07/17.34  																																																| (1921) all_0_96_96 = e0 | all_0_97_97 = e0 | all_0_98_98 = e0
% 48.07/17.34  																																																|
% 48.07/17.34  																																																	| Equations (785) can reduce 893 to:
% 48.07/17.34  																																																	| (264)  ~ (e1 = e0)
% 48.07/17.34  																																																	|
% 48.07/17.34  																																																	+-Applying beta-rule and splitting (1111), into two cases.
% 48.07/17.34  																																																	|-Branch one:
% 48.07/17.34  																																																	| (604) all_0_93_93 = e0
% 48.07/17.34  																																																	|
% 48.07/17.34  																																																		| Combining equations (566,604) yields a new equation:
% 48.07/17.34  																																																		| (1107) e1 = e0
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Simplifying 1107 yields:
% 48.07/17.34  																																																		| (865) e1 = e0
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Equations (865) can reduce 264 to:
% 48.07/17.34  																																																		| (311) $false
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		|-The branch is then unsatisfiable
% 48.07/17.34  																																																	|-Branch two:
% 48.07/17.34  																																																	| (509)  ~ (all_0_93_93 = e0)
% 48.07/17.34  																																																	| (1121) all_0_98_98 = e0
% 48.07/17.34  																																																	|
% 48.07/17.34  																																																		| Equations (1121) can reduce 148 to:
% 48.07/17.34  																																																		| (609)  ~ (all_0_97_97 = e0)
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Equations (1121) can reduce 321 to:
% 48.07/17.34  																																																		| (904)  ~ (e4 = e0)
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Simplifying 904 yields:
% 48.07/17.34  																																																		| (23)  ~ (e4 = e0)
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Equations (1121) can reduce 1349 to:
% 48.07/17.34  																																																		| (510)  ~ (e2 = e0)
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		| Simplifying 510 yields:
% 48.07/17.34  																																																		| (76)  ~ (e2 = e0)
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																		+-Applying beta-rule and splitting (441), into two cases.
% 48.07/17.34  																																																		|-Branch one:
% 48.07/17.34  																																																		| (442) all_0_92_92 = e4
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																			| Combining equations (942,442) yields a new equation:
% 48.07/17.34  																																																			| (912) e4 = e0
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			| Equations (912) can reduce 23 to:
% 48.07/17.34  																																																			| (311) $false
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			|-The branch is then unsatisfiable
% 48.07/17.34  																																																		|-Branch two:
% 48.07/17.34  																																																		| (1619)  ~ (all_0_92_92 = e4)
% 48.07/17.34  																																																		| (610) all_0_97_97 = e4
% 48.07/17.34  																																																		|
% 48.07/17.34  																																																			| Equations (610) can reduce 486 to:
% 48.07/17.34  																																																			| (256)  ~ (e4 = e1)
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			| Equations (610) can reduce 609 to:
% 48.07/17.34  																																																			| (23)  ~ (e4 = e0)
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			| Instantiating formula (262) with e3, e3, e4, all_0_48_48 and discharging atoms op(e3, e3) = all_0_48_48, op(e3, e3) = e4, yields:
% 48.07/17.34  																																																			| (13902) all_0_48_48 = e4
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			| Instantiating formula (262) with e3, e1, all_0_50_50, e2 and discharging atoms op(e3, e1) = all_0_50_50, op(e3, e1) = e2, yields:
% 48.07/17.34  																																																			| (13437) all_0_50_50 = e2
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																			+-Applying beta-rule and splitting (186), into two cases.
% 48.07/17.34  																																																			|-Branch one:
% 48.07/17.34  																																																			| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																				+-Applying beta-rule and splitting (726), into two cases.
% 48.07/17.34  																																																				|-Branch one:
% 48.07/17.34  																																																				| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																					+-Applying beta-rule and splitting (727), into two cases.
% 48.07/17.34  																																																					|-Branch one:
% 48.07/17.34  																																																					| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 48.07/17.34  																																																					|
% 48.07/17.34  																																																						| Applying alpha-rule on (728) yields:
% 48.07/17.34  																																																						| (729) all_0_43_43 = e4
% 48.07/17.34  																																																						| (730)  ~ (all_0_44_44 = e3)
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Combining equations (729,22968) yields a new equation:
% 48.07/17.34  																																																						| (911) e4 = e0
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Simplifying 911 yields:
% 48.07/17.34  																																																						| (912) e4 = e0
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Equations (912) can reduce 23 to:
% 48.07/17.34  																																																						| (311) $false
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						|-The branch is then unsatisfiable
% 48.07/17.34  																																																					|-Branch two:
% 48.07/17.34  																																																					| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 48.07/17.34  																																																					|
% 48.07/17.34  																																																						| Applying alpha-rule on (734) yields:
% 48.07/17.34  																																																						| (735) all_0_46_46 = e2
% 48.07/17.34  																																																						| (736)  ~ (all_0_47_47 = e3)
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Combining equations (47592,735) yields a new equation:
% 48.07/17.34  																																																						| (547) e3 = e2
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Simplifying 547 yields:
% 48.07/17.34  																																																						| (548) e3 = e2
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						| Equations (548) can reduce 169 to:
% 48.07/17.34  																																																						| (311) $false
% 48.07/17.34  																																																						|
% 48.07/17.34  																																																						|-The branch is then unsatisfiable
% 48.07/17.34  																																																				|-Branch two:
% 48.07/17.34  																																																				| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																					| Applying alpha-rule on (740) yields:
% 48.07/17.34  																																																					| (741) all_0_48_48 = e1
% 48.07/17.34  																																																					| (742)  ~ (all_0_49_49 = e3)
% 48.07/17.34  																																																					|
% 48.07/17.34  																																																					| Combining equations (741,13902) yields a new equation:
% 48.07/17.34  																																																					| (814) e4 = e1
% 48.07/17.34  																																																					|
% 48.07/17.34  																																																					| Equations (814) can reduce 256 to:
% 48.07/17.34  																																																					| (311) $false
% 48.07/17.34  																																																					|
% 48.07/17.34  																																																					|-The branch is then unsatisfiable
% 48.07/17.34  																																																			|-Branch two:
% 48.07/17.34  																																																			| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 48.07/17.34  																																																			|
% 48.07/17.34  																																																				| Applying alpha-rule on (973) yields:
% 48.07/17.34  																																																				| (974) all_0_50_50 = e0
% 48.07/17.34  																																																				| (975)  ~ (all_0_51_51 = e3)
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																				| Combining equations (13437,974) yields a new equation:
% 48.07/17.34  																																																				| (923) e2 = e0
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																				| Simplifying 923 yields:
% 48.07/17.34  																																																				| (379) e2 = e0
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																				| Equations (379) can reduce 76 to:
% 48.07/17.34  																																																				| (311) $false
% 48.07/17.34  																																																				|
% 48.07/17.34  																																																				|-The branch is then unsatisfiable
% 48.07/17.34  																																															|-Branch two:
% 48.07/17.34  																																															| (946)  ~ (all_0_92_92 = e0)
% 48.07/17.34  																																															| (604) all_0_93_93 = e0
% 48.07/17.34  																																															|
% 48.07/17.34  																																																| Combining equations (604,566) yields a new equation:
% 48.07/17.34  																																																| (865) e1 = e0
% 48.07/17.34  																																																|
% 48.07/17.34  																																																| Equations (865) can reduce 264 to:
% 48.07/17.34  																																																| (311) $false
% 48.07/17.34  																																																|
% 48.07/17.34  																																																|-The branch is then unsatisfiable
% 48.07/17.35  																																					|-Branch two:
% 48.07/17.35  																																					| (2347)  ~ (all_0_80_80 = e3)
% 48.07/17.35  																																					| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 48.07/17.35  																																					|
% 48.07/17.35  																																						+-Applying beta-rule and splitting (2481), into two cases.
% 48.07/17.35  																																						|-Branch one:
% 48.07/17.35  																																						| (1265) all_0_84_84 = e3
% 48.07/17.35  																																						|
% 48.07/17.35  																																							| Combining equations (552,1265) yields a new equation:
% 48.07/17.35  																																							| (548) e3 = e2
% 48.07/17.35  																																							|
% 48.07/17.35  																																							| Equations (548) can reduce 169 to:
% 48.07/17.35  																																							| (311) $false
% 48.07/17.35  																																							|
% 48.07/17.35  																																							|-The branch is then unsatisfiable
% 48.07/17.35  																																						|-Branch two:
% 48.07/17.35  																																						| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.35  																																						| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 48.07/17.35  																																						|
% 48.07/17.35  																																							+-Applying beta-rule and splitting (3765), into two cases.
% 48.07/17.35  																																							|-Branch one:
% 48.07/17.35  																																							| (882) all_0_92_92 = e3
% 48.07/17.35  																																							|
% 48.07/17.35  																																								| Equations (882) can reduce 426 to:
% 48.07/17.35  																																								| (311) $false
% 48.07/17.35  																																								|
% 48.07/17.35  																																								|-The branch is then unsatisfiable
% 48.07/17.35  																																							|-Branch two:
% 48.07/17.35  																																							| (426)  ~ (all_0_92_92 = e3)
% 48.07/17.35  																																							| (556) all_0_97_97 = e3
% 48.07/17.35  																																							|
% 48.07/17.35  																																								| Equations (556) can reduce 428 to:
% 48.07/17.35  																																								| (311) $false
% 48.07/17.35  																																								|
% 48.07/17.35  																																								|-The branch is then unsatisfiable
% 48.07/17.35  																																				|-Branch two:
% 48.07/17.35  																																				| (745)  ~ (all_0_90_90 = e3)
% 48.07/17.35  																																				| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 48.07/17.35  																																				|
% 48.07/17.35  																																					+-Applying beta-rule and splitting (757), into two cases.
% 48.07/17.35  																																					|-Branch one:
% 48.07/17.35  																																					| (758) all_0_90_90 = e0
% 48.07/17.35  																																					|
% 48.07/17.35  																																						| Equations (758) can reduce 762 to:
% 48.07/17.35  																																						| (311) $false
% 48.07/17.35  																																						|
% 48.07/17.35  																																						|-The branch is then unsatisfiable
% 48.07/17.35  																																					|-Branch two:
% 48.07/17.35  																																					| (762)  ~ (all_0_90_90 = e0)
% 48.07/17.35  																																					| (583) all_0_90_90 = e4
% 48.07/17.35  																																					|
% 48.07/17.35  																																						| Equations (583) can reduce 467 to:
% 48.07/17.35  																																						| (311) $false
% 48.07/17.35  																																						|
% 48.07/17.35  																																						|-The branch is then unsatisfiable
% 48.07/17.35  																																			|-Branch two:
% 48.07/17.35  																																			| (952)  ~ (all_0_85_85 = e3)
% 48.07/17.35  																																			| (953) all_0_85_85 = e4 | all_0_85_85 = e0
% 48.07/17.35  																																			|
% 48.07/17.35  																																				+-Applying beta-rule and splitting (220), into two cases.
% 48.07/17.35  																																				|-Branch one:
% 48.07/17.35  																																				| (771) all_0_78_78 = e3
% 48.07/17.35  																																				|
% 48.07/17.35  																																					| Combining equations (771,400) yields a new equation:
% 48.07/17.35  																																					| (547) e3 = e2
% 48.07/17.35  																																					|
% 48.07/17.35  																																					| Simplifying 547 yields:
% 48.07/17.35  																																					| (548) e3 = e2
% 48.07/17.35  																																					|
% 48.07/17.35  																																					| Equations (548) can reduce 169 to:
% 48.07/17.35  																																					| (311) $false
% 48.07/17.35  																																					|
% 48.07/17.35  																																					|-The branch is then unsatisfiable
% 48.07/17.35  																																				|-Branch two:
% 48.07/17.35  																																				| (418)  ~ (all_0_78_78 = e3)
% 48.07/17.35  																																				| (775) all_0_82_82 = e3 | all_0_90_90 = e3 | all_0_95_95 = e3
% 48.07/17.35  																																				|
% 48.07/17.35  																																					| Equations (400) can reduce 418 to:
% 48.07/17.35  																																					| (356)  ~ (e3 = e2)
% 48.07/17.35  																																					|
% 48.07/17.35  																																					| Simplifying 356 yields:
% 48.07/17.35  																																					| (169)  ~ (e3 = e2)
% 48.07/17.35  																																					|
% 48.07/17.35  																																					+-Applying beta-rule and splitting (1594), into two cases.
% 48.07/17.35  																																					|-Branch one:
% 48.07/17.35  																																					| (1265) all_0_84_84 = e3
% 48.07/17.35  																																					|
% 48.07/17.35  																																						| Combining equations (1265,552) yields a new equation:
% 48.07/17.35  																																						| (547) e3 = e2
% 48.07/17.35  																																						|
% 48.07/17.35  																																						| Simplifying 547 yields:
% 48.07/17.35  																																						| (548) e3 = e2
% 48.07/17.35  																																						|
% 48.07/17.35  																																						| Equations (548) can reduce 169 to:
% 48.07/17.35  																																						| (311) $false
% 48.07/17.35  																																						|
% 48.07/17.35  																																						|-The branch is then unsatisfiable
% 48.07/17.35  																																					|-Branch two:
% 48.07/17.35  																																					| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.35  																																					| (804) all_0_85_85 = e3
% 48.07/17.35  																																					|
% 48.07/17.35  																																						| Equations (804) can reduce 952 to:
% 48.07/17.35  																																						| (311) $false
% 48.07/17.35  																																						|
% 48.07/17.35  																																						|-The branch is then unsatisfiable
% 48.07/17.35  																											|-Branch two:
% 48.07/17.35  																											| (680)  ~ (all_0_95_95 = e1)
% 48.07/17.35  																											| (853) all_0_95_95 = e4 | all_0_95_95 = e3 | all_0_95_95 = e0
% 48.07/17.35  																											|
% 48.07/17.35  																												+-Applying beta-rule and splitting (853), into two cases.
% 48.07/17.35  																												|-Branch one:
% 48.07/17.35  																												| (744) all_0_95_95 = e3
% 48.07/17.35  																												|
% 48.07/17.35  																													| Equations (744) can reduce 765 to:
% 48.07/17.35  																													| (311) $false
% 48.07/17.35  																													|
% 48.07/17.35  																													|-The branch is then unsatisfiable
% 48.07/17.35  																												|-Branch two:
% 48.07/17.35  																												| (765)  ~ (all_0_95_95 = e3)
% 48.07/17.35  																												| (857) all_0_95_95 = e4 | all_0_95_95 = e0
% 48.07/17.35  																												|
% 48.07/17.35  																													+-Applying beta-rule and splitting (857), into two cases.
% 48.07/17.35  																													|-Branch one:
% 48.07/17.35  																													| (858) all_0_95_95 = e0
% 48.07/17.35  																													|
% 48.07/17.35  																														| Equations (858) can reduce 893 to:
% 48.07/17.35  																														| (311) $false
% 48.07/17.35  																														|
% 48.07/17.35  																														|-The branch is then unsatisfiable
% 48.07/17.35  																													|-Branch two:
% 48.07/17.35  																													| (893)  ~ (all_0_95_95 = e0)
% 48.07/17.35  																													| (894) all_0_95_95 = e4
% 48.07/17.35  																													|
% 48.07/17.35  																														| Equations (894) can reduce 315 to:
% 48.07/17.35  																														| (311) $false
% 48.07/17.35  																														|
% 48.07/17.35  																														|-The branch is then unsatisfiable
% 48.07/17.35  																							|-Branch two:
% 48.07/17.35  																							| (465)  ~ (all_0_82_82 = e4)
% 48.07/17.35  																							| (472) all_0_84_84 = e4 | all_0_85_85 = e4
% 48.07/17.35  																							|
% 48.07/17.35  																								+-Applying beta-rule and splitting (4), into two cases.
% 48.07/17.35  																								|-Branch one:
% 48.07/17.35  																								| (463) all_0_78_78 = e4
% 48.07/17.35  																								|
% 48.07/17.35  																									| Combining equations (400,463) yields a new equation:
% 48.07/17.35  																									| (310) e4 = e2
% 48.07/17.35  																									|
% 48.07/17.35  																									| Equations (310) can reduce 79 to:
% 48.07/17.35  																									| (311) $false
% 48.07/17.35  																									|
% 48.07/17.35  																									|-The branch is then unsatisfiable
% 48.07/17.35  																								|-Branch two:
% 48.07/17.35  																								| (640)  ~ (all_0_78_78 = e4)
% 48.07/17.35  																								| (3625) all_0_82_82 = e4 | all_0_90_90 = e4 | all_0_95_95 = e4
% 48.07/17.35  																								|
% 48.07/17.35  																									| Equations (400) can reduce 640 to:
% 48.07/17.35  																									| (528)  ~ (e4 = e2)
% 48.07/17.35  																									|
% 48.07/17.35  																									| Simplifying 528 yields:
% 48.07/17.35  																									| (79)  ~ (e4 = e2)
% 48.07/17.35  																									|
% 48.07/17.35  																									+-Applying beta-rule and splitting (472), into two cases.
% 48.07/17.35  																									|-Branch one:
% 48.07/17.35  																									| (438) all_0_84_84 = e4
% 48.07/17.35  																									|
% 48.07/17.35  																										| Combining equations (552,438) yields a new equation:
% 48.07/17.35  																										| (310) e4 = e2
% 48.07/17.35  																										|
% 48.07/17.35  																										| Equations (310) can reduce 79 to:
% 48.07/17.35  																										| (311) $false
% 48.07/17.35  																										|
% 48.07/17.35  																										|-The branch is then unsatisfiable
% 48.07/17.35  																									|-Branch two:
% 48.07/17.35  																									| (417)  ~ (all_0_84_84 = e4)
% 48.07/17.35  																									| (493) all_0_85_85 = e4
% 48.07/17.35  																									|
% 48.07/17.35  																										| Combining equations (493,9576) yields a new equation:
% 48.07/17.35  																										| (18214) all_0_46_46 = e4
% 48.07/17.35  																										|
% 48.07/17.35  																										| Equations (493) can reduce 118 to:
% 48.07/17.35  																										| (634)  ~ (all_0_81_81 = e4)
% 48.07/17.35  																										|
% 48.07/17.35  																										| Equations (493) can reduce 209 to:
% 48.07/17.35  																										| (465)  ~ (all_0_82_82 = e4)
% 48.07/17.35  																										|
% 48.07/17.35  																										| Equations (493) can reduce 201 to:
% 48.07/17.35  																										| (495)  ~ (all_0_93_93 = e4)
% 48.07/17.35  																										|
% 48.07/17.35  																										| Simplifying 495 yields:
% 48.07/17.35  																										| (496)  ~ (all_0_93_93 = e4)
% 48.07/17.35  																										|
% 48.07/17.35  																										| From (493) and (197) follows:
% 48.07/17.35  																										| (4405) op(e3, e4) = all_0_72_72
% 48.07/17.35  																										|
% 48.07/17.35  																										+-Applying beta-rule and splitting (171), into two cases.
% 48.07/17.35  																										|-Branch one:
% 48.07/17.35  																										| (789) all_0_82_82 = e3
% 48.07/17.35  																										|
% 48.07/17.35  																											| Equations (789) can reduce 255 to:
% 48.07/17.35  																											| (1815)  ~ (all_0_90_90 = e3)
% 48.07/17.35  																											|
% 48.07/17.35  																											| Simplifying 1815 yields:
% 48.07/17.35  																											| (745)  ~ (all_0_90_90 = e3)
% 48.07/17.35  																											|
% 48.07/17.35  																											| Equations (789) can reduce 465 to:
% 48.07/17.35  																											| (783)  ~ (e4 = e3)
% 48.07/17.35  																											|
% 48.07/17.35  																											| Simplifying 783 yields:
% 48.07/17.35  																											| (177)  ~ (e4 = e3)
% 48.07/17.35  																											|
% 48.07/17.35  																											+-Applying beta-rule and splitting (27), into two cases.
% 48.07/17.35  																											|-Branch one:
% 48.07/17.35  																											| (746) all_0_90_90 = e2
% 48.07/17.35  																											|
% 48.07/17.35  																												| Equations (746) can reduce 294 to:
% 48.07/17.35  																												| (311) $false
% 48.07/17.35  																												|
% 48.07/17.35  																												|-The branch is then unsatisfiable
% 48.07/17.35  																											|-Branch two:
% 48.07/17.35  																											| (294)  ~ (all_0_90_90 = e2)
% 48.07/17.35  																											| (749) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e1 | all_0_90_90 = e0
% 48.07/17.35  																											|
% 48.07/17.35  																												+-Applying beta-rule and splitting (749), into two cases.
% 48.07/17.35  																												|-Branch one:
% 48.07/17.35  																												| (750) all_0_90_90 = e1
% 48.07/17.35  																												|
% 48.07/17.35  																													| Equations (750) can reduce 72 to:
% 48.07/17.35  																													| (2131)  ~ (all_0_92_92 = e1)
% 48.07/17.35  																													|
% 48.07/17.35  																													| Simplifying 2131 yields:
% 48.07/17.35  																													| (840)  ~ (all_0_92_92 = e1)
% 48.07/17.35  																													|
% 48.07/17.35  																													| Equations (750) can reduce 229 to:
% 48.07/17.35  																													| (679)  ~ (all_0_95_95 = e1)
% 48.07/17.35  																													|
% 48.07/17.35  																													| Simplifying 679 yields:
% 48.07/17.35  																													| (680)  ~ (all_0_95_95 = e1)
% 48.07/17.35  																													|
% 48.07/17.35  																													| Equations (750) can reduce 762 to:
% 48.07/17.35  																													| (264)  ~ (e1 = e0)
% 48.07/17.35  																													|
% 48.07/17.35  																													| From (750) and (217) follows:
% 48.07/17.35  																													| (10289) op(e3, e1) = all_0_48_48
% 48.07/17.35  																													|
% 48.07/17.35  																													+-Applying beta-rule and splitting (123), into two cases.
% 48.07/17.35  																													|-Branch one:
% 48.07/17.35  																													| (473) all_0_81_81 = e2
% 48.07/17.35  																													|
% 48.07/17.35  																														| Equations (473) can reduce 396 to:
% 48.07/17.35  																														| (311) $false
% 48.07/17.35  																														|
% 48.07/17.35  																														|-The branch is then unsatisfiable
% 48.07/17.35  																													|-Branch two:
% 48.07/17.35  																													| (396)  ~ (all_0_81_81 = e2)
% 48.07/17.35  																													| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 48.07/17.35  																													|
% 48.07/17.35  																														+-Applying beta-rule and splitting (476), into two cases.
% 48.07/17.35  																														|-Branch one:
% 48.07/17.35  																														| (477) all_0_81_81 = e1
% 48.07/17.35  																														|
% 48.07/17.35  																															| Equations (477) can reduce 628 to:
% 48.07/17.35  																															| (311) $false
% 48.07/17.35  																															|
% 48.07/17.35  																															|-The branch is then unsatisfiable
% 48.07/17.35  																														|-Branch two:
% 48.07/17.35  																														| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.35  																														| (629) all_0_81_81 = e4 | all_0_81_81 = e3
% 48.07/17.35  																														|
% 48.07/17.35  																															+-Applying beta-rule and splitting (3625), into two cases.
% 48.07/17.35  																															|-Branch one:
% 48.07/17.35  																															| (469) all_0_82_82 = e4
% 48.07/17.35  																															|
% 48.07/17.35  																																| Combining equations (789,469) yields a new equation:
% 48.07/17.35  																																| (434) e4 = e3
% 48.07/17.35  																																|
% 48.07/17.35  																																| Equations (434) can reduce 177 to:
% 48.07/17.35  																																| (311) $false
% 48.07/17.35  																																|
% 48.07/17.35  																																|-The branch is then unsatisfiable
% 48.07/17.35  																															|-Branch two:
% 48.07/17.35  																															| (465)  ~ (all_0_82_82 = e4)
% 48.07/17.35  																															| (3629) all_0_90_90 = e4 | all_0_95_95 = e4
% 48.07/17.35  																															|
% 48.07/17.35  																																| Equations (789) can reduce 465 to:
% 48.07/17.35  																																| (783)  ~ (e4 = e3)
% 48.07/17.35  																																|
% 48.07/17.35  																																| Simplifying 783 yields:
% 48.07/17.35  																																| (177)  ~ (e4 = e3)
% 48.07/17.35  																																|
% 48.07/17.35  																																+-Applying beta-rule and splitting (641), into two cases.
% 48.07/17.35  																																|-Branch one:
% 48.07/17.35  																																| (433) all_0_80_80 = e4
% 48.07/17.35  																																|
% 48.07/17.35  																																	| Equations (433) can reduce 144 to:
% 48.07/17.35  																																	| (1730)  ~ (all_0_81_81 = e4)
% 48.07/17.35  																																	|
% 48.07/17.35  																																	| Simplifying 1730 yields:
% 48.07/17.35  																																	| (634)  ~ (all_0_81_81 = e4)
% 48.07/17.35  																																	|
% 48.07/17.35  																																	| Equations (433) can reduce 828 to:
% 48.07/17.35  																																	| (256)  ~ (e4 = e1)
% 48.07/17.35  																																	|
% 48.07/17.35  																																	+-Applying beta-rule and splitting (207), into two cases.
% 48.07/17.35  																																	|-Branch one:
% 48.07/17.35  																																	| (416) all_0_80_80 = e3
% 48.07/17.35  																																	|
% 48.07/17.35  																																		| Combining equations (433,416) yields a new equation:
% 48.07/17.35  																																		| (790) e4 = e3
% 48.07/17.35  																																		|
% 48.07/17.35  																																		| Simplifying 790 yields:
% 48.07/17.35  																																		| (434) e4 = e3
% 48.07/17.35  																																		|
% 48.07/17.35  																																		| Equations (434) can reduce 177 to:
% 48.07/17.35  																																		| (311) $false
% 48.07/17.35  																																		|
% 48.07/17.35  																																		|-The branch is then unsatisfiable
% 48.07/17.35  																																	|-Branch two:
% 48.07/17.35  																																	| (2347)  ~ (all_0_80_80 = e3)
% 48.07/17.35  																																	| (2481) all_0_84_84 = e3 | all_0_92_92 = e3 | all_0_97_97 = e3
% 48.07/17.35  																																	|
% 48.07/17.35  																																		+-Applying beta-rule and splitting (3629), into two cases.
% 48.07/17.35  																																		|-Branch one:
% 48.07/17.35  																																		| (583) all_0_90_90 = e4
% 48.07/17.35  																																		|
% 48.07/17.35  																																			| Combining equations (750,583) yields a new equation:
% 48.07/17.35  																																			| (814) e4 = e1
% 48.07/17.35  																																			|
% 48.07/17.35  																																			| Equations (814) can reduce 256 to:
% 48.07/17.35  																																			| (311) $false
% 48.07/17.35  																																			|
% 48.07/17.35  																																			|-The branch is then unsatisfiable
% 48.07/17.35  																																		|-Branch two:
% 48.07/17.35  																																		| (467)  ~ (all_0_90_90 = e4)
% 48.07/17.35  																																		| (894) all_0_95_95 = e4
% 48.07/17.35  																																		|
% 48.07/17.35  																																			| Equations (894) can reduce 105 to:
% 48.07/17.35  																																			| (318)  ~ (all_0_97_97 = e4)
% 48.07/17.35  																																			|
% 48.07/17.35  																																			| Simplifying 318 yields:
% 48.07/17.35  																																			| (319)  ~ (all_0_97_97 = e4)
% 48.07/17.35  																																			|
% 48.07/17.35  																																			| Equations (894) can reduce 355 to:
% 48.07/17.35  																																			| (79)  ~ (e4 = e2)
% 48.07/17.35  																																			|
% 48.07/17.35  																																			| Equations (894) can reduce 680 to:
% 48.07/17.35  																																			| (256)  ~ (e4 = e1)
% 48.07/17.35  																																			|
% 48.07/17.35  																																			| From (894) and (121) follows:
% 48.07/17.35  																																			| (39580) op(e3, e4) = all_0_50_50
% 48.07/17.35  																																			|
% 48.07/17.35  																																			+-Applying beta-rule and splitting (176), into two cases.
% 48.07/17.35  																																			|-Branch one:
% 48.07/17.35  																																			| (785) all_0_95_95 = e1
% 48.07/17.35  																																			|
% 48.07/17.35  																																				| Combining equations (894,785) yields a new equation:
% 48.07/17.35  																																				| (813) e4 = e1
% 48.07/17.35  																																				|
% 48.07/17.35  																																				| Simplifying 813 yields:
% 48.07/17.35  																																				| (814) e4 = e1
% 48.07/17.35  																																				|
% 48.07/17.35  																																				| Equations (814) can reduce 256 to:
% 48.07/17.35  																																				| (311) $false
% 48.07/17.35  																																				|
% 48.07/17.35  																																				|-The branch is then unsatisfiable
% 48.07/17.35  																																			|-Branch two:
% 48.07/17.35  																																			| (680)  ~ (all_0_95_95 = e1)
% 48.07/17.35  																																			| (788) all_0_96_96 = e1 | all_0_97_97 = e1 | all_0_98_98 = e1
% 48.07/17.35  																																			|
% 48.07/17.35  																																				+-Applying beta-rule and splitting (112), into two cases.
% 48.07/17.35  																																				|-Branch one:
% 48.07/17.35  																																				| (538) all_0_97_97 = e2
% 48.07/17.35  																																				|
% 48.07/17.35  																																					| Equations (538) can reduce 527 to:
% 48.07/17.35  																																					| (311) $false
% 48.07/17.35  																																					|
% 48.07/17.35  																																					|-The branch is then unsatisfiable
% 48.07/17.35  																																				|-Branch two:
% 48.07/17.35  																																				| (527)  ~ (all_0_97_97 = e2)
% 48.07/17.35  																																				| (541) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e1 | all_0_97_97 = e0
% 48.07/17.35  																																				|
% 48.07/17.35  																																					+-Applying beta-rule and splitting (629), into two cases.
% 48.07/17.35  																																					|-Branch one:
% 48.07/17.35  																																					| (635) all_0_81_81 = e3
% 48.07/17.35  																																					|
% 48.07/17.35  																																						| Equations (635) can reduce 396 to:
% 48.07/17.35  																																						| (169)  ~ (e3 = e2)
% 48.07/17.35  																																						|
% 48.07/17.35  																																						+-Applying beta-rule and splitting (541), into two cases.
% 48.07/17.35  																																						|-Branch one:
% 48.07/17.35  																																						| (542) all_0_97_97 = e1
% 48.07/17.35  																																						|
% 48.07/17.35  																																							| Equations (542) can reduce 486 to:
% 48.07/17.35  																																							| (311) $false
% 48.07/17.35  																																							|
% 48.07/17.35  																																							|-The branch is then unsatisfiable
% 48.07/17.35  																																						|-Branch two:
% 48.07/17.35  																																						| (486)  ~ (all_0_97_97 = e1)
% 48.07/17.35  																																						| (545) all_0_97_97 = e4 | all_0_97_97 = e3 | all_0_97_97 = e0
% 48.07/17.35  																																						|
% 48.07/17.35  																																							+-Applying beta-rule and splitting (2481), into two cases.
% 48.07/17.35  																																							|-Branch one:
% 48.07/17.35  																																							| (1265) all_0_84_84 = e3
% 48.07/17.35  																																							|
% 48.07/17.35  																																								| Combining equations (552,1265) yields a new equation:
% 48.07/17.35  																																								| (548) e3 = e2
% 48.07/17.35  																																								|
% 48.07/17.35  																																								| Equations (548) can reduce 169 to:
% 48.07/17.35  																																								| (311) $false
% 48.07/17.35  																																								|
% 48.07/17.35  																																								|-The branch is then unsatisfiable
% 48.07/17.35  																																							|-Branch two:
% 48.07/17.35  																																							| (422)  ~ (all_0_84_84 = e3)
% 48.07/17.35  																																							| (3765) all_0_92_92 = e3 | all_0_97_97 = e3
% 48.07/17.35  																																							|
% 48.07/17.35  																																								+-Applying beta-rule and splitting (3765), into two cases.
% 48.07/17.35  																																								|-Branch one:
% 48.07/17.35  																																								| (882) all_0_92_92 = e3
% 48.07/17.35  																																								|
% 48.07/17.35  																																									| Equations (882) can reduce 258 to:
% 48.07/17.35  																																									| (427)  ~ (all_0_97_97 = e3)
% 48.07/17.35  																																									|
% 48.07/17.35  																																									| Simplifying 427 yields:
% 48.07/17.35  																																									| (428)  ~ (all_0_97_97 = e3)
% 48.07/17.35  																																									|
% 48.07/17.35  																																									| Equations (882) can reduce 840 to:
% 48.07/17.35  																																									| (20)  ~ (e3 = e1)
% 48.07/17.35  																																									|
% 48.07/17.35  																																									+-Applying beta-rule and splitting (108), into two cases.
% 48.07/17.35  																																									|-Branch one:
% 48.07/17.35  																																									| (477) all_0_81_81 = e1
% 48.07/17.35  																																									|
% 48.07/17.35  																																										| Combining equations (635,477) yields a new equation:
% 48.07/17.35  																																										| (825) e3 = e1
% 48.07/17.35  																																										|
% 48.07/17.35  																																										| Simplifying 825 yields:
% 48.07/17.35  																																										| (772) e3 = e1
% 48.07/17.35  																																										|
% 48.07/17.35  																																										| Equations (772) can reduce 20 to:
% 48.07/17.35  																																										| (311) $false
% 48.07/17.35  																																										|
% 48.07/17.35  																																										|-The branch is then unsatisfiable
% 48.07/17.35  																																									|-Branch two:
% 48.07/17.35  																																									| (628)  ~ (all_0_81_81 = e1)
% 48.07/17.35  																																									| (817) all_0_88_88 = e1 | all_0_93_93 = e1 | all_0_98_98 = e1
% 48.07/17.35  																																									|
% 48.07/17.36  																																										| Equations (635) can reduce 628 to:
% 48.07/17.36  																																										| (20)  ~ (e3 = e1)
% 48.07/17.36  																																										|
% 48.07/17.36  																																										+-Applying beta-rule and splitting (291), into two cases.
% 48.07/17.36  																																										|-Branch one:
% 48.07/17.36  																																										| (758) all_0_90_90 = e0
% 48.07/17.36  																																										|
% 48.07/17.36  																																											| Combining equations (758,750) yields a new equation:
% 48.07/17.36  																																											| (865) e1 = e0
% 48.07/17.36  																																											|
% 48.07/17.36  																																											| Equations (865) can reduce 264 to:
% 48.07/17.36  																																											| (311) $false
% 48.07/17.36  																																											|
% 48.07/17.36  																																											|-The branch is then unsatisfiable
% 48.07/17.36  																																										|-Branch two:
% 48.07/17.36  																																										| (762)  ~ (all_0_90_90 = e0)
% 48.07/17.36  																																										| (1455) all_0_91_91 = e0 | all_0_92_92 = e0 | all_0_93_93 = e0
% 48.07/17.36  																																										|
% 48.07/17.36  																																											+-Applying beta-rule and splitting (545), into two cases.
% 48.07/17.36  																																											|-Branch one:
% 48.07/17.36  																																											| (556) all_0_97_97 = e3
% 48.07/17.36  																																											|
% 48.07/17.36  																																												| Equations (556) can reduce 428 to:
% 48.07/17.36  																																												| (311) $false
% 48.07/17.36  																																												|
% 48.07/17.36  																																												|-The branch is then unsatisfiable
% 48.07/17.36  																																											|-Branch two:
% 48.07/17.36  																																											| (428)  ~ (all_0_97_97 = e3)
% 48.07/17.36  																																											| (559) all_0_97_97 = e4 | all_0_97_97 = e0
% 48.07/17.36  																																											|
% 48.07/17.36  																																												+-Applying beta-rule and splitting (788), into two cases.
% 48.07/17.36  																																												|-Branch one:
% 48.07/17.36  																																												| (960) all_0_96_96 = e1
% 48.07/17.36  																																												|
% 48.07/17.36  																																													| Combining equations (778,960) yields a new equation:
% 48.07/17.36  																																													| (825) e3 = e1
% 48.07/17.36  																																													|
% 48.07/17.36  																																													| Simplifying 825 yields:
% 48.07/17.36  																																													| (772) e3 = e1
% 48.07/17.36  																																													|
% 48.07/17.36  																																													| Equations (772) can reduce 20 to:
% 48.07/17.36  																																													| (311) $false
% 48.07/17.36  																																													|
% 48.07/17.36  																																													|-The branch is then unsatisfiable
% 48.07/17.36  																																												|-Branch two:
% 48.07/17.36  																																												| (1479)  ~ (all_0_96_96 = e1)
% 48.07/17.36  																																												| (2126) all_0_97_97 = e1 | all_0_98_98 = e1
% 48.07/17.36  																																												|
% 48.07/17.36  																																													+-Applying beta-rule and splitting (559), into two cases.
% 48.07/17.36  																																													|-Branch one:
% 48.07/17.36  																																													| (560) all_0_97_97 = e0
% 48.07/17.36  																																													|
% 48.07/17.36  																																														| Equations (560) can reduce 428 to:
% 48.07/17.36  																																														| (906)  ~ (e3 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														| Simplifying 906 yields:
% 48.07/17.36  																																														| (50)  ~ (e3 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														| Equations (560) can reduce 527 to:
% 48.07/17.36  																																														| (510)  ~ (e2 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														| Simplifying 510 yields:
% 48.07/17.36  																																														| (76)  ~ (e2 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														| Equations (560) can reduce 486 to:
% 48.07/17.36  																																														| (859)  ~ (e1 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														| Simplifying 859 yields:
% 48.07/17.36  																																														| (264)  ~ (e1 = e0)
% 48.07/17.36  																																														|
% 48.07/17.36  																																														+-Applying beta-rule and splitting (2126), into two cases.
% 48.07/17.36  																																														|-Branch one:
% 48.07/17.36  																																														| (542) all_0_97_97 = e1
% 48.07/17.36  																																														|
% 48.07/17.36  																																															| Combining equations (560,542) yields a new equation:
% 48.07/17.36  																																															| (865) e1 = e0
% 48.07/17.36  																																															|
% 48.07/17.36  																																															| Equations (865) can reduce 264 to:
% 48.07/17.36  																																															| (311) $false
% 48.07/17.36  																																															|
% 48.07/17.36  																																															|-The branch is then unsatisfiable
% 48.07/17.36  																																														|-Branch two:
% 48.07/17.36  																																														| (486)  ~ (all_0_97_97 = e1)
% 48.07/17.36  																																														| (1543) all_0_98_98 = e1
% 48.07/17.36  																																														|
% 48.07/17.36  																																															| Equations (1543) can reduce 13 to:
% 48.07/17.36  																																															| (481)  ~ (all_0_93_93 = e1)
% 48.07/17.36  																																															|
% 48.07/17.36  																																															| Equations (1543) can reduce 1349 to:
% 48.07/17.36  																																															| (487)  ~ (e2 = e1)
% 48.07/17.36  																																															|
% 48.07/17.36  																																															| Simplifying 487 yields:
% 48.07/17.36  																																															| (243)  ~ (e2 = e1)
% 48.07/17.36  																																															|
% 48.07/17.36  																																															+-Applying beta-rule and splitting (1455), into two cases.
% 48.07/17.36  																																															|-Branch one:
% 48.07/17.36  																																															| (1456) all_0_91_91 = e0
% 48.07/17.36  																																															|
% 48.07/17.36  																																																| Combining equations (1456,1723) yields a new equation:
% 48.07/17.36  																																																| (379) e2 = e0
% 48.07/17.36  																																																|
% 48.07/17.36  																																																| Equations (379) can reduce 76 to:
% 48.07/17.36  																																																| (311) $false
% 48.07/17.36  																																																|
% 48.07/17.36  																																																|-The branch is then unsatisfiable
% 48.07/17.36  																																															|-Branch two:
% 48.07/17.36  																																															| (1487)  ~ (all_0_91_91 = e0)
% 48.07/17.36  																																															| (1488) all_0_92_92 = e0 | all_0_93_93 = e0
% 48.07/17.36  																																															|
% 48.07/17.36  																																																+-Applying beta-rule and splitting (1488), into two cases.
% 48.07/17.36  																																																|-Branch one:
% 48.07/17.36  																																																| (942) all_0_92_92 = e0
% 48.07/17.36  																																																|
% 48.07/17.36  																																																	| Combining equations (882,942) yields a new equation:
% 48.07/17.36  																																																	| (599) e3 = e0
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Simplifying 599 yields:
% 48.07/17.36  																																																	| (600) e3 = e0
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Equations (600) can reduce 50 to:
% 48.07/17.36  																																																	| (311) $false
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	|-The branch is then unsatisfiable
% 48.07/17.36  																																																|-Branch two:
% 48.07/17.36  																																																| (946)  ~ (all_0_92_92 = e0)
% 48.07/17.36  																																																| (604) all_0_93_93 = e0
% 48.07/17.36  																																																|
% 48.07/17.36  																																																	| Equations (604) can reduce 496 to:
% 48.07/17.36  																																																	| (904)  ~ (e4 = e0)
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Simplifying 904 yields:
% 48.07/17.36  																																																	| (23)  ~ (e4 = e0)
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Equations (604) can reduce 481 to:
% 48.07/17.36  																																																	| (859)  ~ (e1 = e0)
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Simplifying 859 yields:
% 48.07/17.36  																																																	| (264)  ~ (e1 = e0)
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Instantiating formula (262) with e3, e4, all_0_50_50, e1 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = e1, yields:
% 48.07/17.36  																																																	| (39636) all_0_50_50 = e1
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Instantiating formula (262) with e3, e4, all_0_72_72, all_0_50_50 and discharging atoms op(e3, e4) = all_0_50_50, op(e3, e4) = all_0_72_72, yields:
% 48.07/17.36  																																																	| (18260) all_0_50_50 = all_0_72_72
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Instantiating formula (262) with e3, e1, all_0_48_48, e2 and discharging atoms op(e3, e1) = all_0_48_48, op(e3, e1) = e2, yields:
% 48.07/17.36  																																																	| (33594) all_0_48_48 = e2
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Combining equations (39636,18260) yields a new equation:
% 48.07/17.36  																																																	| (845) all_0_72_72 = e1
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	| Combining equations (845,18260) yields a new equation:
% 48.07/17.36  																																																	| (39636) all_0_50_50 = e1
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																	+-Applying beta-rule and splitting (186), into two cases.
% 48.07/17.36  																																																	|-Branch one:
% 48.07/17.36  																																																	| (726) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)) | (all_0_48_48 = e1 &  ~ (all_0_49_49 = e3))
% 48.07/17.36  																																																	|
% 48.07/17.36  																																																		+-Applying beta-rule and splitting (726), into two cases.
% 48.07/17.36  																																																		|-Branch one:
% 48.07/17.36  																																																		| (727) (all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)) | (all_0_46_46 = e2 &  ~ (all_0_47_47 = e3))
% 48.07/17.36  																																																		|
% 48.07/17.36  																																																			+-Applying beta-rule and splitting (727), into two cases.
% 48.07/17.36  																																																			|-Branch one:
% 48.07/17.36  																																																			| (728) all_0_43_43 = e4 &  ~ (all_0_44_44 = e3)
% 48.07/17.36  																																																			|
% 48.07/17.36  																																																				| Applying alpha-rule on (728) yields:
% 48.07/17.36  																																																				| (729) all_0_43_43 = e4
% 48.07/17.36  																																																				| (730)  ~ (all_0_44_44 = e3)
% 48.07/17.36  																																																				|
% 48.07/17.36  																																																				| Combining equations (729,22968) yields a new equation:
% 48.07/17.36  																																																				| (911) e4 = e0
% 48.07/17.36  																																																				|
% 48.07/17.36  																																																				| Simplifying 911 yields:
% 48.07/17.36  																																																				| (912) e4 = e0
% 48.07/17.36  																																																				|
% 48.07/17.36  																																																				| Equations (912) can reduce 23 to:
% 48.07/17.36  																																																				| (311) $false
% 48.07/17.36  																																																				|
% 48.07/17.36  																																																				|-The branch is then unsatisfiable
% 48.07/17.36  																																																			|-Branch two:
% 48.07/17.36  																																																			| (734) all_0_46_46 = e2 &  ~ (all_0_47_47 = e3)
% 48.07/17.36  																																																			|
% 48.07/17.36  																																																				| Applying alpha-rule on (734) yields:
% 48.07/17.36  																																																				| (735) all_0_46_46 = e2
% 48.07/17.36  																																																				| (736)  ~ (all_0_47_47 = e3)
% 48.07/17.36  																																																				|
% 48.07/17.37  																																																				| Combining equations (18214,735) yields a new equation:
% 48.07/17.37  																																																				| (309) e4 = e2
% 48.07/17.37  																																																				|
% 48.07/17.37  																																																				| Simplifying 309 yields:
% 48.07/17.37  																																																				| (310) e4 = e2
% 48.07/17.37  																																																				|
% 48.07/17.37  																																																				| Equations (310) can reduce 79 to:
% 48.07/17.37  																																																				| (311) $false
% 48.07/17.37  																																																				|
% 48.07/17.37  																																																				|-The branch is then unsatisfiable
% 48.07/17.37  																																																		|-Branch two:
% 48.07/17.37  																																																		| (740) all_0_48_48 = e1 &  ~ (all_0_49_49 = e3)
% 48.07/17.37  																																																		|
% 48.07/17.37  																																																			| Applying alpha-rule on (740) yields:
% 48.07/17.37  																																																			| (741) all_0_48_48 = e1
% 48.07/17.37  																																																			| (742)  ~ (all_0_49_49 = e3)
% 48.07/17.37  																																																			|
% 48.14/17.37  																																																			| Combining equations (741,33594) yields a new equation:
% 48.14/17.37  																																																			| (385) e2 = e1
% 48.14/17.37  																																																			|
% 48.14/17.37  																																																			| Equations (385) can reduce 243 to:
% 48.14/17.37  																																																			| (311) $false
% 48.14/17.37  																																																			|
% 48.14/17.37  																																																			|-The branch is then unsatisfiable
% 48.14/17.37  																																																	|-Branch two:
% 48.14/17.37  																																																	| (973) all_0_50_50 = e0 &  ~ (all_0_51_51 = e3)
% 48.14/17.37  																																																	|
% 48.14/17.37  																																																		| Applying alpha-rule on (973) yields:
% 48.14/17.37  																																																		| (974) all_0_50_50 = e0
% 48.14/17.37  																																																		| (975)  ~ (all_0_51_51 = e3)
% 48.14/17.37  																																																		|
% 48.14/17.37  																																																		| Combining equations (39636,974) yields a new equation:
% 48.14/17.37  																																																		| (1107) e1 = e0
% 48.14/17.37  																																																		|
% 48.14/17.37  																																																		| Simplifying 1107 yields:
% 48.14/17.37  																																																		| (865) e1 = e0
% 48.14/17.37  																																																		|
% 48.14/17.37  																																																		| Equations (865) can reduce 264 to:
% 48.14/17.37  																																																		| (311) $false
% 48.14/17.37  																																																		|
% 48.14/17.37  																																																		|-The branch is then unsatisfiable
% 48.14/17.37  																																													|-Branch two:
% 48.14/17.37  																																													| (609)  ~ (all_0_97_97 = e0)
% 48.14/17.37  																																													| (610) all_0_97_97 = e4
% 48.14/17.37  																																													|
% 48.14/17.37  																																														| Equations (610) can reduce 319 to:
% 48.14/17.37  																																														| (311) $false
% 48.14/17.37  																																														|
% 48.14/17.37  																																														|-The branch is then unsatisfiable
% 48.14/17.37  																																								|-Branch two:
% 48.14/17.37  																																								| (426)  ~ (all_0_92_92 = e3)
% 48.14/17.37  																																								| (556) all_0_97_97 = e3
% 48.14/17.37  																																								|
% 48.14/17.37  																																									| Equations (556) can reduce 428 to:
% 48.14/17.37  																																									| (311) $false
% 48.14/17.37  																																									|
% 48.14/17.37  																																									|-The branch is then unsatisfiable
% 48.14/17.37  																																					|-Branch two:
% 48.14/17.37  																																					| (420)  ~ (all_0_81_81 = e3)
% 48.14/17.37  																																					| (638) all_0_81_81 = e4
% 48.14/17.37  																																					|
% 48.14/17.37  																																						| Equations (638) can reduce 634 to:
% 48.14/17.37  																																						| (311) $false
% 48.14/17.37  																																						|
% 48.14/17.37  																																						|-The branch is then unsatisfiable
% 48.14/17.37  																																|-Branch two:
% 48.14/17.37  																																| (436)  ~ (all_0_80_80 = e4)
% 48.14/17.37  																																| (638) all_0_81_81 = e4
% 48.14/17.37  																																|
% 48.14/17.37  																																	| Equations (638) can reduce 634 to:
% 48.14/17.37  																																	| (311) $false
% 48.14/17.37  																																	|
% 48.14/17.37  																																	|-The branch is then unsatisfiable
% 48.14/17.37  																												|-Branch two:
% 48.14/17.37  																												| (678)  ~ (all_0_90_90 = e1)
% 48.14/17.37  																												| (753) all_0_90_90 = e4 | all_0_90_90 = e3 | all_0_90_90 = e0
% 48.14/17.37  																												|
% 48.14/17.37  																													+-Applying beta-rule and splitting (753), into two cases.
% 48.14/17.37  																													|-Branch one:
% 48.14/17.37  																													| (754) all_0_90_90 = e3
% 48.14/17.37  																													|
% 48.14/17.37  																														| Equations (754) can reduce 745 to:
% 48.14/17.37  																														| (311) $false
% 48.14/17.37  																														|
% 48.14/17.37  																														|-The branch is then unsatisfiable
% 48.14/17.37  																													|-Branch two:
% 48.14/17.37  																													| (745)  ~ (all_0_90_90 = e3)
% 48.14/17.37  																													| (757) all_0_90_90 = e4 | all_0_90_90 = e0
% 48.14/17.37  																													|
% 48.14/17.37  																														+-Applying beta-rule and splitting (757), into two cases.
% 48.14/17.37  																														|-Branch one:
% 48.14/17.37  																														| (758) all_0_90_90 = e0
% 48.14/17.37  																														|
% 48.14/17.37  																															| Equations (758) can reduce 762 to:
% 48.14/17.37  																															| (311) $false
% 48.14/17.37  																															|
% 48.14/17.37  																															|-The branch is then unsatisfiable
% 48.14/17.37  																														|-Branch two:
% 48.14/17.37  																														| (762)  ~ (all_0_90_90 = e0)
% 48.14/17.37  																														| (583) all_0_90_90 = e4
% 48.14/17.37  																														|
% 48.14/17.37  																															| Equations (583) can reduce 467 to:
% 48.14/17.37  																															| (311) $false
% 48.14/17.37  																															|
% 48.14/17.37  																															|-The branch is then unsatisfiable
% 48.14/17.37  																										|-Branch two:
% 48.14/17.37  																										| (793)  ~ (all_0_82_82 = e3)
% 48.14/17.37  																										| (1296) all_0_83_83 = e3 | all_0_84_84 = e3 | all_0_85_85 = e3
% 48.14/17.37  																										|
% 48.14/17.37  																											+-Applying beta-rule and splitting (1296), into two cases.
% 48.14/17.37  																											|-Branch one:
% 48.14/17.37  																											| (795) all_0_83_83 = e3
% 48.14/17.37  																											|
% 48.14/17.37  																												| Combining equations (798,795) yields a new equation:
% 48.14/17.37  																												| (600) e3 = e0
% 48.14/17.37  																												|
% 48.14/17.37  																												| Equations (600) can reduce 50 to:
% 48.14/17.37  																												| (311) $false
% 48.14/17.37  																												|
% 48.14/17.37  																												|-The branch is then unsatisfiable
% 48.14/17.37  																											|-Branch two:
% 48.14/17.37  																											| (779)  ~ (all_0_83_83 = e3)
% 48.14/17.37  																											| (1594) all_0_84_84 = e3 | all_0_85_85 = e3
% 48.14/17.37  																											|
% 48.14/17.37  																												+-Applying beta-rule and splitting (1594), into two cases.
% 48.14/17.37  																												|-Branch one:
% 48.14/17.37  																												| (1265) all_0_84_84 = e3
% 48.14/17.37  																												|
% 48.14/17.37  																													| Combining equations (552,1265) yields a new equation:
% 48.14/17.37  																													| (548) e3 = e2
% 48.14/17.37  																													|
% 48.14/17.37  																													| Equations (548) can reduce 169 to:
% 48.14/17.37  																													| (311) $false
% 48.14/17.37  																													|
% 48.14/17.37  																													|-The branch is then unsatisfiable
% 48.14/17.37  																												|-Branch two:
% 48.14/17.37  																												| (422)  ~ (all_0_84_84 = e3)
% 48.14/17.37  																												| (804) all_0_85_85 = e3
% 48.14/17.37  																												|
% 48.14/17.37  																													| Combining equations (493,804) yields a new equation:
% 48.14/17.37  																													| (790) e4 = e3
% 48.14/17.37  																													|
% 48.14/17.37  																													| Simplifying 790 yields:
% 48.14/17.37  																													| (434) e4 = e3
% 48.14/17.37  																													|
% 48.14/17.37  																													| Equations (434) can reduce 177 to:
% 48.14/17.37  																													| (311) $false
% 48.14/17.37  																													|
% 48.14/17.37  																													|-The branch is then unsatisfiable
% 48.14/17.37  																					|-Branch two:
% 48.14/17.37  																					| (612)  ~ (all_0_84_84 = e2)
% 48.14/17.37  																					| (613) all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 48.14/17.37  																					|
% 48.14/17.37  																						+-Applying beta-rule and splitting (613), into two cases.
% 48.14/17.37  																						|-Branch one:
% 48.14/17.37  																						| (374) all_0_87_87 = e2
% 48.14/17.37  																						|
% 48.14/17.37  																							| Combining equations (482,374) yields a new equation:
% 48.14/17.37  																							| (385) e2 = e1
% 48.14/17.37  																							|
% 48.14/17.37  																							| Equations (385) can reduce 243 to:
% 48.14/17.37  																							| (311) $false
% 48.14/17.37  																							|
% 48.14/17.37  																							|-The branch is then unsatisfiable
% 48.14/17.37  																						|-Branch two:
% 48.14/17.37  																						| (349)  ~ (all_0_87_87 = e2)
% 48.14/17.37  																						| (1342) all_0_92_92 = e2 | all_0_97_97 = e2
% 48.14/17.37  																						|
% 48.14/17.37  																							+-Applying beta-rule and splitting (1342), into two cases.
% 48.14/17.37  																							|-Branch one:
% 48.14/17.37  																							| (1343) all_0_92_92 = e2
% 48.14/17.37  																							|
% 48.14/17.37  																								| Equations (1343) can reduce 298 to:
% 48.14/17.37  																								| (311) $false
% 48.14/17.37  																								|
% 48.14/17.37  																								|-The branch is then unsatisfiable
% 48.14/17.37  																							|-Branch two:
% 48.14/17.37  																							| (298)  ~ (all_0_92_92 = e2)
% 48.14/17.37  																							| (538) all_0_97_97 = e2
% 48.14/17.37  																							|
% 48.14/17.37  																								| Equations (538) can reduce 527 to:
% 48.14/17.37  																								| (311) $false
% 48.14/17.37  																								|
% 48.14/17.37  																								|-The branch is then unsatisfiable
% 48.14/17.37  																			|-Branch two:
% 48.14/17.37  																			| (346)  ~ (all_0_78_78 = e2)
% 48.14/17.37  																			| (1658) all_0_79_79 = e2 | all_0_80_80 = e2 | all_0_81_81 = e2
% 48.14/17.37  																			|
% 48.14/17.37  																				+-Applying beta-rule and splitting (70), into two cases.
% 48.14/17.37  																				|-Branch one:
% 48.14/17.37  																				| (400) all_0_78_78 = e2
% 48.14/17.37  																				|
% 48.14/17.37  																					| Equations (400) can reduce 346 to:
% 48.14/17.37  																					| (311) $false
% 48.14/17.37  																					|
% 48.14/17.37  																					|-The branch is then unsatisfiable
% 48.14/17.37  																				|-Branch two:
% 48.14/17.37  																				| (346)  ~ (all_0_78_78 = e2)
% 48.14/17.37  																				| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 48.14/17.37  																				|
% 48.14/17.37  																					+-Applying beta-rule and splitting (1658), into two cases.
% 48.14/17.37  																					|-Branch one:
% 48.14/17.37  																					| (390) all_0_79_79 = e2
% 48.14/17.37  																					|
% 48.14/17.37  																						| Combining equations (457,390) yields a new equation:
% 48.14/17.37  																						| (385) e2 = e1
% 48.14/17.37  																						|
% 48.14/17.37  																						| Equations (385) can reduce 243 to:
% 48.14/17.37  																						| (311) $false
% 48.14/17.37  																						|
% 48.14/17.37  																						|-The branch is then unsatisfiable
% 48.14/17.37  																					|-Branch two:
% 48.14/17.37  																					| (1622)  ~ (all_0_79_79 = e2)
% 48.14/17.37  																					| (3249) all_0_80_80 = e2 | all_0_81_81 = e2
% 48.14/17.37  																					|
% 48.14/17.37  																						+-Applying beta-rule and splitting (403), into two cases.
% 48.14/17.37  																						|-Branch one:
% 48.14/17.37  																						| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 48.14/17.37  																						|
% 48.14/17.37  																							+-Applying beta-rule and splitting (404), into two cases.
% 48.14/17.37  																							|-Branch one:
% 48.14/17.37  																							| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 48.14/17.37  																							|
% 48.14/17.37  																								| Applying alpha-rule on (405) yields:
% 48.14/17.37  																								| (406) all_0_39_39 = e1
% 48.14/17.37  																								| (407)  ~ (all_0_40_40 = e4)
% 48.14/17.37  																								|
% 48.14/17.37  																								| Combining equations (406,30566) yields a new equation:
% 48.14/17.37  																								| (1107) e1 = e0
% 48.14/17.37  																								|
% 48.14/17.37  																								| Simplifying 1107 yields:
% 48.14/17.37  																								| (865) e1 = e0
% 48.14/17.37  																								|
% 48.14/17.37  																								| Equations (865) can reduce 264 to:
% 48.14/17.37  																								| (311) $false
% 48.14/17.37  																								|
% 48.14/17.37  																								|-The branch is then unsatisfiable
% 48.14/17.37  																							|-Branch two:
% 48.14/17.37  																							| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 48.14/17.37  																							|
% 48.14/17.37  																								| Applying alpha-rule on (411) yields:
% 48.14/17.37  																								| (337) all_0_41_41 = e0
% 48.14/17.37  																								| (413)  ~ (all_0_42_42 = e4)
% 48.14/17.37  																								|
% 48.14/17.37  																								| Combining equations (41260,337) yields a new equation:
% 48.14/17.37  																								| (1107) e1 = e0
% 48.14/17.37  																								|
% 48.14/17.37  																								| Simplifying 1107 yields:
% 48.14/17.37  																								| (865) e1 = e0
% 48.14/17.37  																								|
% 48.14/17.37  																								| Equations (865) can reduce 264 to:
% 48.14/17.37  																								| (311) $false
% 48.14/17.37  																								|
% 48.14/17.37  																								|-The branch is then unsatisfiable
% 48.14/17.37  																						|-Branch two:
% 48.14/17.37  																						| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 48.14/17.37  																						|
% 48.14/17.37  																							| Applying alpha-rule on (415) yields:
% 48.14/17.37  																							| (416) all_0_80_80 = e3
% 48.14/17.37  																							| (417)  ~ (all_0_84_84 = e4)
% 48.14/17.37  																							|
% 48.14/17.37  																							+-Applying beta-rule and splitting (192), into two cases.
% 48.14/17.37  																							|-Branch one:
% 48.14/17.37  																							| (546) all_0_80_80 = e2
% 48.14/17.37  																							|
% 48.14/17.37  																								| Combining equations (416,546) yields a new equation:
% 48.14/17.37  																								| (547) e3 = e2
% 48.14/17.37  																								|
% 48.14/17.37  																								| Simplifying 547 yields:
% 48.14/17.37  																								| (548) e3 = e2
% 48.14/17.37  																								|
% 48.14/17.37  																								| Equations (548) can reduce 169 to:
% 48.14/17.37  																								| (311) $false
% 48.14/17.37  																								|
% 48.14/17.37  																								|-The branch is then unsatisfiable
% 48.14/17.37  																							|-Branch two:
% 48.14/17.37  																							| (394)  ~ (all_0_80_80 = e2)
% 48.14/17.37  																							| (551) all_0_84_84 = e2 | all_0_87_87 = e2 | all_0_92_92 = e2 | all_0_97_97 = e2
% 48.14/17.37  																							|
% 48.14/17.37  																								| Equations (416) can reduce 394 to:
% 48.14/17.37  																								| (169)  ~ (e3 = e2)
% 48.14/17.37  																								|
% 48.14/17.37  																								+-Applying beta-rule and splitting (123), into two cases.
% 48.14/17.37  																								|-Branch one:
% 48.14/17.37  																								| (473) all_0_81_81 = e2
% 48.14/17.37  																								|
% 48.14/17.38  																									| Equations (473) can reduce 396 to:
% 48.14/17.38  																									| (311) $false
% 48.14/17.38  																									|
% 48.14/17.38  																									|-The branch is then unsatisfiable
% 48.14/17.38  																								|-Branch two:
% 48.14/17.38  																								| (396)  ~ (all_0_81_81 = e2)
% 48.14/17.38  																								| (476) all_0_81_81 = e4 | all_0_81_81 = e3 | all_0_81_81 = e1
% 48.14/17.38  																								|
% 48.14/17.38  																									+-Applying beta-rule and splitting (3249), into two cases.
% 48.14/17.38  																									|-Branch one:
% 48.14/17.38  																									| (546) all_0_80_80 = e2
% 48.14/17.38  																									|
% 48.14/17.38  																										| Combining equations (416,546) yields a new equation:
% 48.14/17.38  																										| (547) e3 = e2
% 48.14/17.38  																										|
% 48.14/17.38  																										| Simplifying 547 yields:
% 48.14/17.38  																										| (548) e3 = e2
% 48.14/17.38  																										|
% 48.14/17.38  																										| Equations (548) can reduce 169 to:
% 48.14/17.38  																										| (311) $false
% 48.14/17.38  																										|
% 48.14/17.38  																										|-The branch is then unsatisfiable
% 48.14/17.38  																									|-Branch two:
% 48.14/17.38  																									| (394)  ~ (all_0_80_80 = e2)
% 48.14/17.38  																									| (473) all_0_81_81 = e2
% 48.14/17.38  																									|
% 48.14/17.38  																										| Equations (473) can reduce 396 to:
% 48.14/17.38  																										| (311) $false
% 48.14/17.38  																										|
% 48.14/17.38  																										|-The branch is then unsatisfiable
% 48.14/17.38  															|-Branch two:
% 48.14/17.38  															| (461)  ~ (all_0_79_79 = e1)
% 48.14/17.38  															| (462) all_0_91_91 = e1 | all_0_96_96 = e1
% 48.14/17.38  															|
% 48.14/17.38  																+-Applying beta-rule and splitting (1623), into two cases.
% 48.14/17.38  																|-Branch one:
% 48.14/17.38  																| (457) all_0_79_79 = e1
% 48.14/17.38  																|
% 48.14/17.38  																	| Equations (457) can reduce 461 to:
% 48.14/17.38  																	| (311) $false
% 48.14/17.38  																	|
% 48.14/17.38  																	|-The branch is then unsatisfiable
% 48.14/17.38  																|-Branch two:
% 48.14/17.38  																| (461)  ~ (all_0_79_79 = e1)
% 48.14/17.38  																| (1708) all_0_79_79 = e3
% 48.14/17.38  																|
% 48.14/17.38  																	| Combining equations (1708,30560) yields a new equation:
% 48.14/17.38  																	| (41164) all_0_41_41 = e3
% 48.14/17.38  																	|
% 48.14/17.38  																	| Equations (1708) can reduce 66 to:
% 48.14/17.38  																	| (418)  ~ (all_0_78_78 = e3)
% 48.14/17.38  																	|
% 48.14/17.38  																	| Equations (1708) can reduce 63 to:
% 48.14/17.38  																	| (3267)  ~ (all_0_80_80 = e3)
% 48.14/17.38  																	|
% 48.14/17.38  																	| Simplifying 3267 yields:
% 48.14/17.38  																	| (2347)  ~ (all_0_80_80 = e3)
% 48.14/17.38  																	|
% 48.14/17.38  																	| Equations (1708) can reduce 9 to:
% 48.14/17.38  																	| (50)  ~ (e3 = e0)
% 48.14/17.38  																	|
% 48.14/17.38  																	| From (1708) and (184) follows:
% 48.14/17.38  																	| (11003) op(e2, e3) = all_0_52_52
% 48.14/17.38  																	|
% 48.14/17.38  																	+-Applying beta-rule and splitting (70), into two cases.
% 48.14/17.38  																	|-Branch one:
% 48.14/17.38  																	| (400) all_0_78_78 = e2
% 48.14/17.38  																	|
% 48.14/17.38  																		| Equations (400) can reduce 193 to:
% 48.14/17.38  																		| (9974)  ~ (all_0_82_82 = e2)
% 48.14/17.38  																		|
% 48.14/17.38  																		| Simplifying 9974 yields:
% 48.14/17.38  																		| (347)  ~ (all_0_82_82 = e2)
% 48.14/17.38  																		|
% 48.14/17.38  																		| Equations (400) can reduce 418 to:
% 48.14/17.38  																		| (356)  ~ (e3 = e2)
% 48.14/17.38  																		|
% 48.14/17.38  																		| Simplifying 356 yields:
% 48.14/17.38  																		| (169)  ~ (e3 = e2)
% 48.14/17.38  																		|
% 48.14/17.38  																		| Equations (400) can reduce 86 to:
% 48.14/17.38  																		| (76)  ~ (e2 = e0)
% 48.14/17.38  																		|
% 48.14/17.38  																		+-Applying beta-rule and splitting (41), into two cases.
% 48.14/17.38  																		|-Branch one:
% 48.14/17.38  																		| (530) all_0_82_82 = e2
% 48.14/17.38  																		|
% 48.14/17.38  																			| Equations (530) can reduce 347 to:
% 48.14/17.38  																			| (311) $false
% 48.14/17.38  																			|
% 48.14/17.38  																			|-The branch is then unsatisfiable
% 48.14/17.38  																		|-Branch two:
% 48.14/17.38  																		| (347)  ~ (all_0_82_82 = e2)
% 48.14/17.38  																		| (533) all_0_83_83 = e2 | all_0_84_84 = e2 | all_0_85_85 = e2
% 48.14/17.38  																		|
% 48.14/17.38  																			+-Applying beta-rule and splitting (533), into two cases.
% 48.14/17.38  																			|-Branch one:
% 48.14/17.38  																			| (453) all_0_83_83 = e2
% 48.14/17.38  																			|
% 48.14/17.38  																				| Combining equations (453,798) yields a new equation:
% 48.14/17.38  																				| (923) e2 = e0
% 48.14/17.38  																				|
% 48.14/17.38  																				| Simplifying 923 yields:
% 48.14/17.38  																				| (379) e2 = e0
% 48.14/17.38  																				|
% 48.14/17.38  																				| Equations (379) can reduce 76 to:
% 48.14/17.38  																				| (311) $false
% 48.14/17.38  																				|
% 48.14/17.38  																				|-The branch is then unsatisfiable
% 48.14/17.38  																			|-Branch two:
% 48.14/17.38  																			| (398)  ~ (all_0_83_83 = e2)
% 48.14/17.38  																			| (537) all_0_84_84 = e2 | all_0_85_85 = e2
% 48.14/17.38  																			|
% 48.14/17.38  																				+-Applying beta-rule and splitting (84), into two cases.
% 48.14/17.38  																				|-Branch one:
% 48.14/17.38  																				| (1704) all_0_96_96 = e2
% 48.14/17.38  																				|
% 48.14/17.38  																					| Equations (1704) can reduce 1638 to:
% 48.14/17.38  																					| (311) $false
% 48.14/17.38  																					|
% 48.14/17.38  																					|-The branch is then unsatisfiable
% 48.14/17.38  																				|-Branch two:
% 48.14/17.38  																				| (1638)  ~ (all_0_96_96 = e2)
% 48.14/17.38  																				| (1707) all_0_96_96 = e3 | all_0_96_96 = e1 | all_0_96_96 = e0
% 48.14/17.38  																				|
% 48.14/17.38  																					+-Applying beta-rule and splitting (537), into two cases.
% 48.14/17.38  																					|-Branch one:
% 48.14/17.38  																					| (552) all_0_84_84 = e2
% 48.14/17.38  																					|
% 48.14/17.38  																						| Equations (552) can reduce 273 to:
% 48.14/17.38  																						| (394)  ~ (all_0_80_80 = e2)
% 48.14/17.38  																						|
% 48.14/17.38  																						| Equations (552) can reduce 259 to:
% 48.14/17.38  																						| (243)  ~ (e2 = e1)
% 48.14/17.38  																						|
% 48.14/17.38  																						+-Applying beta-rule and splitting (45), into two cases.
% 48.14/17.38  																						|-Branch one:
% 48.14/17.38  																						| (546) all_0_80_80 = e2
% 48.14/17.38  																						|
% 48.14/17.38  																							| Equations (546) can reduce 394 to:
% 48.14/17.38  																							| (311) $false
% 48.14/17.38  																							|
% 48.14/17.38  																							|-The branch is then unsatisfiable
% 48.14/17.38  																						|-Branch two:
% 48.14/17.38  																						| (394)  ~ (all_0_80_80 = e2)
% 48.14/17.38  																						| (3232) all_0_80_80 = e4 | all_0_80_80 = e3 | all_0_80_80 = e1
% 48.14/17.38  																						|
% 48.14/17.38  																							+-Applying beta-rule and splitting (462), into two cases.
% 48.14/17.38  																							|-Branch one:
% 48.14/17.38  																							| (801) all_0_91_91 = e1
% 48.14/17.38  																							|
% 48.14/17.38  																								| Combining equations (1723,801) yields a new equation:
% 48.14/17.38  																								| (408) e2 = e1
% 48.14/17.38  																								|
% 48.14/17.38  																								| Simplifying 408 yields:
% 48.14/17.38  																								| (385) e2 = e1
% 48.14/17.38  																								|
% 48.14/17.38  																								| Equations (385) can reduce 243 to:
% 48.14/17.38  																								| (311) $false
% 48.14/17.38  																								|
% 48.14/17.38  																								|-The branch is then unsatisfiable
% 48.14/17.38  																							|-Branch two:
% 48.14/17.38  																							| (959)  ~ (all_0_91_91 = e1)
% 48.14/17.38  																							| (960) all_0_96_96 = e1
% 48.14/17.38  																							|
% 48.14/17.38  																								| Equations (960) can reduce 279 to:
% 48.14/17.38  																								| (680)  ~ (all_0_95_95 = e1)
% 48.14/17.38  																								|
% 48.14/17.38  																								| Equations (960) can reduce 1638 to:
% 48.14/17.38  																								| (487)  ~ (e2 = e1)
% 48.14/17.38  																								|
% 48.14/17.38  																								| Simplifying 487 yields:
% 48.14/17.38  																								| (243)  ~ (e2 = e1)
% 48.14/17.38  																								|
% 48.14/17.38  																								| Equations (960) can reduce 2095 to:
% 48.14/17.38  																								| (264)  ~ (e1 = e0)
% 48.14/17.38  																								|
% 48.14/17.38  																								| From (960) and (212) follows:
% 48.14/17.38  																								| (15809) op(e2, e1) = all_0_58_58
% 48.14/17.38  																								|
% 48.14/17.38  																								+-Applying beta-rule and splitting (3232), into two cases.
% 48.14/17.38  																								|-Branch one:
% 48.14/17.38  																								| (824) all_0_80_80 = e1
% 48.14/17.38  																								|
% 48.14/17.38  																									| Equations (824) can reduce 828 to:
% 48.14/17.38  																									| (311) $false
% 48.14/17.38  																									|
% 48.14/17.38  																									|-The branch is then unsatisfiable
% 48.14/17.38  																								|-Branch two:
% 48.14/17.38  																								| (828)  ~ (all_0_80_80 = e1)
% 48.14/17.38  																								| (4018) all_0_80_80 = e4 | all_0_80_80 = e3
% 48.14/17.38  																								|
% 48.14/17.38  																									+-Applying beta-rule and splitting (188), into two cases.
% 48.14/17.38  																									|-Branch one:
% 48.14/17.38  																									| (676) all_0_78_78 = e1
% 48.14/17.38  																									|
% 48.14/17.38  																										| Combining equations (400,676) yields a new equation:
% 48.14/17.38  																										| (408) e2 = e1
% 48.14/17.38  																										|
% 48.14/17.38  																										| Simplifying 408 yields:
% 48.14/17.38  																										| (385) e2 = e1
% 48.14/17.38  																										|
% 48.14/17.38  																										| Equations (385) can reduce 243 to:
% 48.14/17.38  																										| (311) $false
% 48.14/17.38  																										|
% 48.14/17.38  																										|-The branch is then unsatisfiable
% 48.14/17.38  																									|-Branch two:
% 48.14/17.38  																									| (1601)  ~ (all_0_78_78 = e1)
% 48.14/17.38  																									| (1718) all_0_86_86 = e1 | all_0_90_90 = e1 | all_0_95_95 = e1
% 48.14/17.38  																									|
% 48.14/17.38  																										+-Applying beta-rule and splitting (1718), into two cases.
% 48.14/17.38  																										|-Branch one:
% 48.14/17.38  																										| (384) all_0_86_86 = e1
% 48.14/17.38  																										|
% 48.14/17.38  																											| Combining equations (378,384) yields a new equation:
% 48.14/17.38  																											| (865) e1 = e0
% 48.14/17.38  																											|
% 48.14/17.38  																											| Equations (865) can reduce 264 to:
% 48.14/17.38  																											| (311) $false
% 48.14/17.38  																											|
% 48.14/17.38  																											|-The branch is then unsatisfiable
% 48.14/17.38  																										|-Branch two:
% 48.14/17.38  																										| (387)  ~ (all_0_86_86 = e1)
% 48.14/17.38  																										| (2122) all_0_90_90 = e1 | all_0_95_95 = e1
% 48.14/17.38  																										|
% 48.14/17.38  																											+-Applying beta-rule and splitting (4018), into two cases.
% 48.14/17.38  																											|-Branch one:
% 48.14/17.38  																											| (416) all_0_80_80 = e3
% 48.14/17.38  																											|
% 48.14/17.38  																												| Equations (416) can reduce 2347 to:
% 48.14/17.38  																												| (311) $false
% 48.14/17.38  																												|
% 48.14/17.38  																												|-The branch is then unsatisfiable
% 48.14/17.38  																											|-Branch two:
% 48.14/17.38  																											| (2347)  ~ (all_0_80_80 = e3)
% 48.14/17.38  																											| (433) all_0_80_80 = e4
% 48.14/17.38  																											|
% 48.14/17.38  																												| Equations (433) can reduce 166 to:
% 48.14/17.38  																												| (23)  ~ (e4 = e0)
% 48.14/17.38  																												|
% 48.14/17.38  																												+-Applying beta-rule and splitting (2122), into two cases.
% 48.14/17.38  																												|-Branch one:
% 48.14/17.38  																												| (750) all_0_90_90 = e1
% 48.14/17.38  																												|
% 48.14/17.38  																													| Equations (750) can reduce 467 to:
% 48.14/17.38  																													| (681)  ~ (e4 = e1)
% 48.14/17.38  																													|
% 48.14/17.38  																													| Simplifying 681 yields:
% 48.14/17.38  																													| (256)  ~ (e4 = e1)
% 48.14/17.38  																													|
% 48.14/17.38  																													| Equations (750) can reduce 762 to:
% 48.14/17.38  																													| (264)  ~ (e1 = e0)
% 48.14/17.38  																													|
% 48.14/17.38  																													| Instantiating formula (262) with e2, e3, all_0_52_52, e0 and discharging atoms op(e2, e3) = all_0_52_52, op(e2, e3) = e0, yields:
% 48.14/17.38  																													| (11070) all_0_52_52 = e0
% 48.14/17.38  																													|
% 48.14/17.38  																													| Instantiating formula (262) with e2, e1, all_0_58_58, e1 and discharging atoms op(e2, e1) = all_0_58_58, op(e2, e1) = e1, yields:
% 48.14/17.38  																													| (10941) all_0_58_58 = e1
% 48.14/17.38  																													|
% 48.14/17.38  																													+-Applying beta-rule and splitting (33), into two cases.
% 48.14/17.38  																													|-Branch one:
% 48.14/17.38  																													| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 48.14/17.38  																													|
% 48.14/17.38  																														+-Applying beta-rule and splitting (1686), into two cases.
% 48.14/17.38  																														|-Branch one:
% 48.14/17.38  																														| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 48.14/17.38  																														|
% 48.14/17.38  																															+-Applying beta-rule and splitting (1687), into two cases.
% 48.14/17.38  																															|-Branch one:
% 48.14/17.38  																															| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 48.14/17.38  																															|
% 48.14/17.38  																																| Applying alpha-rule on (1688) yields:
% 48.14/17.38  																																| (1689) all_0_52_52 = e4
% 48.14/17.38  																																| (1690)  ~ (all_0_53_53 = e2)
% 48.14/17.38  																																|
% 48.14/17.38  																																| Combining equations (11070,1689) yields a new equation:
% 48.14/17.38  																																| (912) e4 = e0
% 48.14/17.38  																																|
% 48.14/17.38  																																| Equations (912) can reduce 23 to:
% 48.14/17.38  																																| (311) $false
% 48.14/17.38  																																|
% 48.14/17.38  																																|-The branch is then unsatisfiable
% 48.14/17.38  																															|-Branch two:
% 48.14/17.38  																															| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 48.14/17.38  																															|
% 48.14/17.38  																																| Applying alpha-rule on (1694) yields:
% 48.14/17.38  																																| (1695) all_0_54_54 = e3
% 48.14/17.38  																																| (1696)  ~ (all_0_55_55 = e2)
% 48.14/17.38  																																|
% 48.14/17.39  																																| Combining equations (8281,1695) yields a new equation:
% 48.14/17.39  																																| (548) e3 = e2
% 48.14/17.39  																																|
% 48.14/17.39  																																| Equations (548) can reduce 169 to:
% 48.14/17.39  																																| (311) $false
% 48.14/17.39  																																|
% 48.14/17.39  																																|-The branch is then unsatisfiable
% 48.14/17.39  																														|-Branch two:
% 48.14/17.39  																														| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 48.14/17.39  																														|
% 48.14/17.39  																															| Applying alpha-rule on (1700) yields:
% 48.14/17.39  																															| (1701) all_0_56_56 = e1
% 48.14/17.39  																															| (1702)  ~ (all_0_57_57 = e2)
% 48.14/17.39  																															|
% 48.14/17.39  																															| Combining equations (37236,1701) yields a new equation:
% 48.14/17.39  																															| (813) e4 = e1
% 48.14/17.39  																															|
% 48.14/17.39  																															| Simplifying 813 yields:
% 48.14/17.39  																															| (814) e4 = e1
% 48.14/17.39  																															|
% 48.14/17.39  																															| Equations (814) can reduce 256 to:
% 48.14/17.39  																															| (311) $false
% 48.14/17.39  																															|
% 48.14/17.39  																															|-The branch is then unsatisfiable
% 48.14/17.39  																													|-Branch two:
% 48.14/17.39  																													| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 48.14/17.39  																													|
% 48.14/17.39  																														| Applying alpha-rule on (4957) yields:
% 48.14/17.39  																														| (4958) all_0_58_58 = e0
% 48.14/17.39  																														| (4959)  ~ (all_0_59_59 = e2)
% 48.14/17.39  																														|
% 48.14/17.39  																														| Combining equations (4958,10941) yields a new equation:
% 48.14/17.39  																														| (865) e1 = e0
% 48.14/17.39  																														|
% 48.14/17.39  																														| Equations (865) can reduce 264 to:
% 48.14/17.39  																														| (311) $false
% 48.14/17.39  																														|
% 48.14/17.39  																														|-The branch is then unsatisfiable
% 48.14/17.39  																												|-Branch two:
% 48.14/17.39  																												| (678)  ~ (all_0_90_90 = e1)
% 48.14/17.39  																												| (785) all_0_95_95 = e1
% 48.14/17.39  																												|
% 48.14/17.39  																													| Equations (785) can reduce 680 to:
% 48.14/17.39  																													| (311) $false
% 48.14/17.39  																													|
% 48.14/17.39  																													|-The branch is then unsatisfiable
% 48.14/17.39  																					|-Branch two:
% 48.14/17.39  																					| (612)  ~ (all_0_84_84 = e2)
% 48.14/17.39  																					| (512) all_0_85_85 = e2
% 48.14/17.39  																					|
% 48.14/17.39  																						| Equations (512) can reduce 515 to:
% 48.14/17.39  																						| (311) $false
% 48.14/17.39  																						|
% 48.14/17.39  																						|-The branch is then unsatisfiable
% 48.14/17.39  																	|-Branch two:
% 48.14/17.39  																	| (346)  ~ (all_0_78_78 = e2)
% 48.14/17.39  																	| (403) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)) | (all_0_80_80 = e3 &  ~ (all_0_84_84 = e4))
% 48.14/17.39  																	|
% 48.14/17.39  																		+-Applying beta-rule and splitting (403), into two cases.
% 48.14/17.39  																		|-Branch one:
% 48.14/17.39  																		| (404) (all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)) | (all_0_41_41 = e0 &  ~ (all_0_42_42 = e4))
% 48.14/17.39  																		|
% 48.14/17.39  																			+-Applying beta-rule and splitting (404), into two cases.
% 48.14/17.39  																			|-Branch one:
% 48.14/17.39  																			| (405) all_0_39_39 = e1 &  ~ (all_0_40_40 = e4)
% 48.14/17.39  																			|
% 48.14/17.39  																				| Applying alpha-rule on (405) yields:
% 48.14/17.39  																				| (406) all_0_39_39 = e1
% 48.14/17.39  																				| (407)  ~ (all_0_40_40 = e4)
% 48.14/17.39  																				|
% 48.14/17.39  																				| Combining equations (406,30566) yields a new equation:
% 48.14/17.39  																				| (1107) e1 = e0
% 48.14/17.39  																				|
% 48.14/17.39  																				| Simplifying 1107 yields:
% 48.14/17.39  																				| (865) e1 = e0
% 48.14/17.39  																				|
% 48.14/17.39  																				| Equations (865) can reduce 264 to:
% 48.14/17.39  																				| (311) $false
% 48.14/17.39  																				|
% 48.14/17.39  																				|-The branch is then unsatisfiable
% 48.14/17.39  																			|-Branch two:
% 48.14/17.39  																			| (411) all_0_41_41 = e0 &  ~ (all_0_42_42 = e4)
% 48.14/17.39  																			|
% 48.14/17.39  																				| Applying alpha-rule on (411) yields:
% 48.14/17.39  																				| (337) all_0_41_41 = e0
% 48.14/17.39  																				| (413)  ~ (all_0_42_42 = e4)
% 48.14/17.39  																				|
% 48.17/17.39  																				| Combining equations (41164,337) yields a new equation:
% 48.17/17.39  																				| (599) e3 = e0
% 48.17/17.39  																				|
% 48.17/17.39  																				| Simplifying 599 yields:
% 48.17/17.39  																				| (600) e3 = e0
% 48.17/17.39  																				|
% 48.17/17.39  																				| Equations (600) can reduce 50 to:
% 48.17/17.39  																				| (311) $false
% 48.17/17.39  																				|
% 48.17/17.39  																				|-The branch is then unsatisfiable
% 48.17/17.39  																		|-Branch two:
% 48.17/17.39  																		| (415) all_0_80_80 = e3 &  ~ (all_0_84_84 = e4)
% 48.17/17.39  																		|
% 48.17/17.39  																			| Applying alpha-rule on (415) yields:
% 48.17/17.39  																			| (416) all_0_80_80 = e3
% 48.17/17.39  																			| (417)  ~ (all_0_84_84 = e4)
% 48.17/17.39  																			|
% 48.17/17.39  																			| Equations (416) can reduce 2347 to:
% 48.17/17.39  																			| (311) $false
% 48.17/17.39  																			|
% 48.17/17.39  																			|-The branch is then unsatisfiable
% 48.17/17.39  														|-Branch two:
% 48.17/17.39  														| (1314)  ~ (all_0_83_83 = e0)
% 48.17/17.39  														| (1400) all_0_91_91 = e0 | all_0_96_96 = e0
% 48.17/17.39  														|
% 48.17/17.39  															+-Applying beta-rule and splitting (456), into two cases.
% 48.17/17.39  															|-Branch one:
% 48.17/17.39  															| (795) all_0_83_83 = e3
% 48.17/17.39  															|
% 48.17/17.39  																| Equations (795) can reduce 272 to:
% 48.17/17.39  																| (1711)  ~ (all_0_79_79 = e3)
% 48.17/17.39  																|
% 48.17/17.39  																| Equations (795) can reduce 211 to:
% 48.17/17.39  																| (1300)  ~ (all_0_96_96 = e3)
% 48.17/17.39  																|
% 48.17/17.39  																| Simplifying 1300 yields:
% 48.17/17.39  																| (964)  ~ (all_0_96_96 = e3)
% 48.17/17.39  																|
% 48.17/17.39  																| From (795) and (206) follows:
% 48.17/17.39  																| (8280) op(e2, e3) = all_0_54_54
% 48.17/17.39  																|
% 48.17/17.39  																+-Applying beta-rule and splitting (1623), into two cases.
% 48.17/17.39  																|-Branch one:
% 48.17/17.39  																| (457) all_0_79_79 = e1
% 48.17/17.39  																|
% 48.17/17.39  																	| Equations (457) can reduce 235 to:
% 48.17/17.39  																	| (681)  ~ (e4 = e1)
% 48.17/17.39  																	|
% 48.17/17.39  																	| Simplifying 681 yields:
% 48.17/17.39  																	| (256)  ~ (e4 = e1)
% 48.17/17.39  																	|
% 48.17/17.39  																	| From (457) and (184) follows:
% 48.17/17.39  																	| (1679) op(e2, e1) = all_0_52_52
% 48.17/17.39  																	|
% 48.17/17.39  																	+-Applying beta-rule and splitting (1400), into two cases.
% 48.17/17.39  																	|-Branch one:
% 48.17/17.39  																	| (1456) all_0_91_91 = e0
% 48.17/17.39  																	|
% 48.17/17.39  																		| Combining equations (1723,1456) yields a new equation:
% 48.17/17.39  																		| (923) e2 = e0
% 48.17/17.39  																		|
% 48.17/17.39  																		| Simplifying 923 yields:
% 48.17/17.39  																		| (379) e2 = e0
% 48.17/17.39  																		|
% 48.17/17.39  																		| Equations (379) can reduce 76 to:
% 48.17/17.39  																		| (311) $false
% 48.17/17.39  																		|
% 48.17/17.39  																		|-The branch is then unsatisfiable
% 48.17/17.39  																	|-Branch two:
% 48.17/17.39  																	| (1487)  ~ (all_0_91_91 = e0)
% 48.17/17.39  																	| (1837) all_0_96_96 = e0
% 48.17/17.39  																	|
% 48.17/17.39  																		| Equations (1837) can reduce 964 to:
% 48.17/17.39  																		| (906)  ~ (e3 = e0)
% 48.17/17.39  																		|
% 48.17/17.39  																		| Simplifying 906 yields:
% 48.17/17.39  																		| (50)  ~ (e3 = e0)
% 48.17/17.39  																		|
% 48.17/17.39  																		| Equations (1837) can reduce 1638 to:
% 48.17/17.39  																		| (510)  ~ (e2 = e0)
% 48.17/17.39  																		|
% 48.17/17.39  																		| Simplifying 510 yields:
% 48.17/17.39  																		| (76)  ~ (e2 = e0)
% 48.17/17.39  																		|
% 48.17/17.39  																		| From (1837) and (212) follows:
% 48.17/17.39  																		| (10932) op(e2, e0) = all_0_58_58
% 48.17/17.39  																		|
% 48.17/17.39  																		| Instantiating formula (262) with e2, e3, all_0_54_54, e0 and discharging atoms op(e2, e3) = all_0_54_54, op(e2, e3) = e0, yields:
% 48.17/17.39  																		| (12243) all_0_54_54 = e0
% 48.17/17.39  																		|
% 48.17/17.39  																		| Instantiating formula (262) with e2, e1, all_0_52_52, e1 and discharging atoms op(e2, e1) = all_0_52_52, op(e2, e1) = e1, yields:
% 48.17/17.39  																		| (15841) all_0_52_52 = e1
% 48.17/17.39  																		|
% 48.17/17.39  																		| Instantiating formula (262) with e2, e0, all_0_58_58, e2 and discharging atoms op(e2, e0) = all_0_58_58, op(e2, e0) = e2, yields:
% 48.17/17.39  																		| (15842) all_0_58_58 = e2
% 48.17/17.39  																		|
% 48.17/17.40  																		+-Applying beta-rule and splitting (33), into two cases.
% 48.17/17.40  																		|-Branch one:
% 48.17/17.40  																		| (1686) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)) | (all_0_56_56 = e1 &  ~ (all_0_57_57 = e2))
% 48.17/17.40  																		|
% 48.17/17.40  																			+-Applying beta-rule and splitting (1686), into two cases.
% 48.17/17.40  																			|-Branch one:
% 48.17/17.40  																			| (1687) (all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)) | (all_0_54_54 = e3 &  ~ (all_0_55_55 = e2))
% 48.17/17.40  																			|
% 48.17/17.40  																				+-Applying beta-rule and splitting (1687), into two cases.
% 48.17/17.40  																				|-Branch one:
% 48.17/17.40  																				| (1688) all_0_52_52 = e4 &  ~ (all_0_53_53 = e2)
% 48.17/17.40  																				|
% 48.17/17.40  																					| Applying alpha-rule on (1688) yields:
% 48.17/17.40  																					| (1689) all_0_52_52 = e4
% 48.17/17.40  																					| (1690)  ~ (all_0_53_53 = e2)
% 48.17/17.40  																					|
% 48.17/17.40  																					| Combining equations (15841,1689) yields a new equation:
% 48.17/17.40  																					| (814) e4 = e1
% 48.17/17.40  																					|
% 48.17/17.40  																					| Equations (814) can reduce 256 to:
% 48.17/17.40  																					| (311) $false
% 48.17/17.40  																					|
% 48.17/17.40  																					|-The branch is then unsatisfiable
% 48.17/17.40  																				|-Branch two:
% 48.17/17.40  																				| (1694) all_0_54_54 = e3 &  ~ (all_0_55_55 = e2)
% 48.17/17.40  																				|
% 48.17/17.40  																					| Applying alpha-rule on (1694) yields:
% 48.17/17.40  																					| (1695) all_0_54_54 = e3
% 48.17/17.40  																					| (1696)  ~ (all_0_55_55 = e2)
% 48.17/17.40  																					|
% 48.17/17.40  																					| Combining equations (1695,12243) yields a new equation:
% 48.17/17.40  																					| (599) e3 = e0
% 48.17/17.40  																					|
% 48.17/17.40  																					| Simplifying 599 yields:
% 48.17/17.40  																					| (600) e3 = e0
% 48.17/17.40  																					|
% 48.17/17.40  																					| Equations (600) can reduce 50 to:
% 48.17/17.40  																					| (311) $false
% 48.17/17.40  																					|
% 48.17/17.40  																					|-The branch is then unsatisfiable
% 48.17/17.40  																			|-Branch two:
% 48.17/17.40  																			| (1700) all_0_56_56 = e1 &  ~ (all_0_57_57 = e2)
% 48.17/17.40  																			|
% 48.17/17.40  																				| Applying alpha-rule on (1700) yields:
% 48.17/17.40  																				| (1701) all_0_56_56 = e1
% 48.17/17.40  																				| (1702)  ~ (all_0_57_57 = e2)
% 48.17/17.40  																				|
% 48.17/17.40  																				| Combining equations (1701,37236) yields a new equation:
% 48.17/17.40  																				| (814) e4 = e1
% 48.17/17.40  																				|
% 48.17/17.40  																				| Equations (814) can reduce 256 to:
% 48.17/17.40  																				| (311) $false
% 48.17/17.40  																				|
% 48.17/17.40  																				|-The branch is then unsatisfiable
% 48.17/17.40  																		|-Branch two:
% 48.17/17.40  																		| (4957) all_0_58_58 = e0 &  ~ (all_0_59_59 = e2)
% 48.17/17.40  																		|
% 48.17/17.40  																			| Applying alpha-rule on (4957) yields:
% 48.17/17.40  																			| (4958) all_0_58_58 = e0
% 48.17/17.40  																			| (4959)  ~ (all_0_59_59 = e2)
% 48.17/17.40  																			|
% 48.17/17.40  																			| Combining equations (15842,4958) yields a new equation:
% 48.17/17.40  																			| (923) e2 = e0
% 48.17/17.40  																			|
% 48.17/17.40  																			| Simplifying 923 yields:
% 48.17/17.40  																			| (379) e2 = e0
% 48.17/17.40  																			|
% 48.17/17.40  																			| Equations (379) can reduce 76 to:
% 48.17/17.40  																			| (311) $false
% 48.17/17.40  																			|
% 48.17/17.40  																			|-The branch is then unsatisfiable
% 48.17/17.40  																|-Branch two:
% 48.17/17.40  																| (461)  ~ (all_0_79_79 = e1)
% 48.17/17.40  																| (1708) all_0_79_79 = e3
% 48.17/17.40  																|
% 48.17/17.40  																	| Equations (1708) can reduce 1711 to:
% 48.17/17.40  																	| (311) $false
% 48.17/17.40  																	|
% 48.17/17.40  																	|-The branch is then unsatisfiable
% 48.17/17.40  															|-Branch two:
% 48.17/17.40  															| (779)  ~ (all_0_83_83 = e3)
% 48.17/17.40  															| (798) all_0_83_83 = e0
% 48.17/17.40  															|
% 48.17/17.40  																| Equations (798) can reduce 1314 to:
% 48.17/17.40  																| (311) $false
% 48.17/17.40  																|
% 48.17/17.40  																|-The branch is then unsatisfiable
% 48.17/17.40  													|-Branch two:
% 48.17/17.40  													| (296)  ~ (all_0_91_91 = e2)
% 48.17/17.40  													| (1704) all_0_96_96 = e2
% 48.17/17.40  													|
% 48.17/17.40  														| Equations (1704) can reduce 1638 to:
% 48.17/17.40  														| (311) $false
% 48.17/17.40  														|
% 48.17/17.40  														|-The branch is then unsatisfiable
% 48.17/17.40  										|-Branch two:
% 48.17/17.40  										| (381)  ~ (all_0_86_86 = e0)
% 48.17/17.40  										| (382) all_0_87_87 = e0 | all_0_88_88 = e0
% 48.17/17.40  										|
% 48.17/17.40  											+-Applying beta-rule and splitting (382), into two cases.
% 48.17/17.40  											|-Branch one:
% 48.17/17.40  											| (861) all_0_87_87 = e0
% 48.17/17.40  											|
% 48.17/17.40  												| Combining equations (482,861) yields a new equation:
% 48.17/17.40  												| (1107) e1 = e0
% 48.17/17.40  												|
% 48.17/17.40  												| Simplifying 1107 yields:
% 48.17/17.40  												| (865) e1 = e0
% 48.17/17.40  												|
% 48.17/17.40  												| Equations (865) can reduce 264 to:
% 48.17/17.40  												| (311) $false
% 48.17/17.40  												|
% 48.17/17.40  												|-The branch is then unsatisfiable
% 48.17/17.40  											|-Branch two:
% 48.17/17.40  											| (889)  ~ (all_0_87_87 = e0)
% 48.17/17.40  											| (507) all_0_88_88 = e0
% 48.17/17.40  											|
% 48.17/17.40  												| Combining equations (507,370) yields a new equation:
% 48.17/17.40  												| (379) e2 = e0
% 48.17/17.40  												|
% 48.17/17.40  												| Equations (379) can reduce 76 to:
% 48.17/17.40  												| (311) $false
% 48.17/17.40  												|
% 48.17/17.40  												|-The branch is then unsatisfiable
% 48.17/17.40  									|-Branch two:
% 48.17/17.40  									| (625)  ~ (all_0_87_87 = e1)
% 48.17/17.40  									| (504) all_0_88_88 = e1
% 48.17/17.40  									|
% 48.17/17.40  										| Combining equations (504,370) yields a new equation:
% 48.17/17.40  										| (385) e2 = e1
% 48.17/17.40  										|
% 48.17/17.40  										| Equations (385) can reduce 243 to:
% 48.17/17.40  										| (311) $false
% 48.17/17.40  										|
% 48.17/17.40  										|-The branch is then unsatisfiable
% 48.17/17.40  % SZS output end Proof for theBenchmark
% 48.17/17.40  
% 48.17/17.40  16809ms
%------------------------------------------------------------------------------